{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nErica Rivera, Mario Avila, Susan Jenkins, Fernando Gonzalez work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Erica Rivera's week in their local time is as follows:\nMonday: Booked at the following times: from 10:57 to 11:47, from 11:52 to 12:42, from 13:00 to 14:50, from 15:26 to 17:16\nTuesday: Booked at the following times: from 9:56 to 10:46, from 12:35 to 14:15, from 15:23 to 15:53, from 16:21 to 17:21\nWednesday: Booked at the following times: from 9:33 to 11:43, from 13:31 to 15:51, from 17:25 to 17:45\nThursday: Booked at the following times: from 10:31 to 11:11, from 11:41 to 14:01, from 14:03 to 15:13, from 16:58 to 17:48\nFriday: Booked at the following times: from 9:45 to 10:25, from 10:33 to 12:43, from 14:54 to 16:04, from 16:33 to 17:13\n\nThe schedule for Mario Avila's week in their local time is as follows:\nMonday: Booked at the following times: from 10:01 to 11:21, from 11:25 to 12:55, from 13:05 to 14:15, from 14:49 to 16:39\nTuesday: Booked at the following times: from 9:08 to 11:38, from 14:33 to 16:43\nWednesday: Booked at the following times: from 9:46 to 10:26, from 10:49 to 12:59, from 13:29 to 14:49, from 15:18 to 15:38, from 15:57 to 16:27, from 16:31 to 16:51\nThursday: Booked at the following times: from 9:59 to 11:09, from 11:32 to 13:42, from 13:54 to 15:34\nFriday: Booked at the following times: from 9:33 to 10:03, from 11:14 to 12:44, from 13:19 to 14:49, from 15:02 to 15:52, from 16:31 to 17:41\n\nThe schedule for Susan Jenkins's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 10:34, from 10:56 to 12:06, from 12:13 to 14:43, from 15:33 to 16:03\nTuesday: Free only at the following times: from 11:30 to 12:24, from 13:14 to 14:42, from 15:22 to 15:43, anytime after 17:13\nWednesday: Booked at the following times: from 9:22 to 10:12, from 11:12 to 12:52, from 12:55 to 14:15, from 16:03 to 17:23\nThursday: Booked at the following times: from 10:15 to 11:55, from 12:08 to 12:48, from 13:20 to 14:10, from 14:12 to 15:32, from 15:56 to 16:16, from 16:53 to 17:33\nFriday: Booked at the following times: from 11:39 to 12:19, from 12:24 to 13:34, from 14:57 to 17:27\n\nThe schedule for Fernando Gonzalez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 11:09, from 11:47 to 12:07, from 14:17 to 16:07\nTuesday: Booked at the following times: from 12:16 to 13:36, from 13:41 to 14:11, from 14:49 to 16:39\nWednesday: Booked at the following times: from 10:20 to 12:30, from 14:18 to 15:58\nThursday: Booked at the following times: from 9:19 to 11:49, from 13:40 to 14:30, from 15:15 to 16:45\nFriday: Booked at the following times: from 9:52 to 11:02, from 11:32 to 12:02, from 13:09 to 15:39\n\nErica Rivera is in a timezone that is 1 hour behind of other participants\nMario Avila requires 5 minutes free before and after the meeting\nSusan Jenkins can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nFernando Gonzalez is in a timezone that is 2 hours ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Erica Rivera": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[657, 707], [712, 762], [780, 890], [926, 1036]], "Tuesday": [[596, 646], [755, 855], [923, 953], [981, 1041]], "Wednesday": [[573, 703], [811, 951], [1045, 1065]], "Thursday": [[631, 671], [701, 841], [843, 913], [1018, 1068]], "Friday": [[585, 625], [633, 763], [894, 964], [993, 1033]]}, "free_org": {"Monday": [[540, 657], [707, 712], [762, 780], [890, 926], [1036, 1080]], "Tuesday": [[540, 596], [646, 755], [855, 923], [953, 981], [1041, 1080]], "Wednesday": [[540, 573], [703, 811], [951, 1045], [1065, 1080]], "Thursday": [[540, 631], [671, 701], [841, 843], [913, 1018], [1068, 1080]], "Friday": [[540, 585], [625, 633], [763, 894], [964, 993], [1033, 1080]]}, "constraint": ["timezone", -1]}, "Mario Avila": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 681], [685, 775], [785, 855], [889, 999]], "Tuesday": [[548, 698], [873, 1003]], "Wednesday": [[586, 626], [649, 779], [809, 889], [918, 938], [957, 987], [991, 1011]], "Thursday": [[599, 669], [692, 822], [834, 934]], "Friday": [[573, 603], [674, 764], [799, 889], [902, 952], [991, 1061]]}, "free_org": {"Monday": [[540, 601], [681, 685], [775, 785], [855, 889], [999, 1080]], "Tuesday": [[540, 548], [698, 873], [1003, 1080]], "Wednesday": [[540, 586], [626, 649], [779, 809], [889, 918], [938, 957], [987, 991], [1011, 1080]], "Thursday": [[540, 599], [669, 692], [822, 834], [934, 1080]], "Friday": [[540, 573], [603, 674], [764, 799], [889, 902], [952, 991], [1061, 1080]]}, "constraint": ["buffer", 5]}, "Susan Jenkins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 634], [656, 726], [733, 883], [933, 963]], "Tuesday": [[540, 690], [744, 794], [882, 922], [943, 1033]], "Wednesday": [[562, 612], [672, 772], [775, 855], [963, 1043]], "Thursday": [[615, 715], [728, 768], [800, 850], [852, 932], [956, 976], [1013, 1053]], "Friday": [[699, 739], [744, 814], [897, 1047]]}, "free_org": {"Monday": [[540, 574], [634, 656], [726, 733], [883, 933], [963, 1080]], "Tuesday": [[690, 744], [794, 882], [922, 943], [1033, 1080]], "Wednesday": [[540, 562], [612, 672], [772, 775], [855, 963], [1043, 1080]], "Thursday": [[540, 615], [715, 728], [768, 800], [850, 852], [932, 956], [976, 1013], [1053, 1080]], "Friday": [[540, 699], [739, 744], [814, 897], [1047, 1080]]}, "constraint": ["conflict", 40]}, "Fernando Gonzalez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 669], [707, 727], [857, 967]], "Tuesday": [[736, 816], [821, 851], [889, 999]], "Wednesday": [[620, 750], [858, 958]], "Thursday": [[559, 709], [820, 870], [915, 1005]], "Friday": [[592, 662], [692, 722], [789, 939]]}, "free_org": {"Monday": [[540, 559], [669, 707], [727, 857], [967, 1080]], "Tuesday": [[540, 736], [816, 821], [851, 889], [999, 1080]], "Wednesday": [[540, 620], [750, 858], [958, 1080]], "Thursday": [[540, 559], [709, 820], [870, 915], [1005, 1080]], "Friday": [[540, 592], [662, 692], [722, 789], [939, 1080]]}, "constraint": ["timezone", 2]}}, "solution": {"max_duration": 37, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAmy Johnson, Michael Graham, John Thomas, Mrs. Jennifer Thornton work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Amy Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:33 to 12:33, from 13:57 to 14:37, from 15:07 to 16:17, from 16:34 to 17:34\nTuesday: Booked at the following times: from 9:40 to 10:30, from 11:25 to 12:25, from 13:06 to 13:36, from 13:52 to 15:32, from 16:13 to 16:53\nWednesday: Booked at the following times: from 10:21 to 12:31, from 12:48 to 13:58, from 13:59 to 14:59\nThursday: Booked at the following times: from 9:01 to 9:51, from 10:13 to 11:03, from 11:07 to 12:17, from 12:42 to 13:22, from 13:57 to 15:17, from 15:48 to 16:28\nFriday: Booked at the following times: from 9:42 to 11:52, from 12:08 to 12:38, from 14:08 to 15:28\n\nThe schedule for Michael Graham's week in their local time is as follows:\nMonday: Booked at the following times: from 9:20 to 10:50, from 11:37 to 13:47, from 14:46 to 15:16, from 15:33 to 16:23, from 16:24 to 17:34\nTuesday: Booked at the following times: from 10:59 to 12:49, from 13:26 to 14:36\nWednesday: Booked at the following times: from 10:11 to 11:21, from 12:58 to 15:08, from 15:52 to 16:32\nThursday: Booked at the following times: from 9:05 to 11:35, from 12:50 to 13:40, from 14:07 to 15:27, from 16:13 to 17:13, from 17:28 to 17:48\nFriday: Booked at the following times: from 9:12 to 9:32, from 11:29 to 12:19, from 13:04 to 13:44, from 15:14 to 15:44, from 15:45 to 16:05, from 16:20 to 17:20\n\nThe schedule for John Thomas's week in their local time is as follows:\nMonday: Booked at the following times: from 9:02 to 9:52, from 13:08 to 15:18, from 15:47 to 16:37\nTuesday: Booked at the following times: from 9:10 to 10:00, from 10:06 to 10:36, from 12:26 to 13:56, from 14:18 to 15:18, from 16:19 to 17:29\nWednesday: Booked at the following times: from 9:26 to 11:36, from 12:34 to 13:04, from 15:19 to 17:09\nThursday: Booked at the following times: from 9:12 to 9:42, from 10:16 to 11:16, from 11:44 to 12:24, from 13:02 to 14:22, from 14:36 to 15:06, from 15:26 to 16:56, from 17:01 to 17:21\nFriday: Booked at the following times: from 10:08 to 10:38, from 11:32 to 11:52, from 13:13 to 14:23, from 16:06 to 16:36, from 17:04 to 17:24\n\nThe schedule for Mrs. Jennifer Thornton's week in their local time is as follows:\nMonday: Booked at the following times: from 11:18 to 13:38, from 14:33 to 16:23, from 16:44 to 17:44\nTuesday: Booked at the following times: from 9:30 to 11:50, from 12:19 to 14:39\nWednesday: Free only at the following times: anytime before 10:56, from 12:46 to 13:36, anytime after 17:36\nThursday: Booked at the following times: from 9:21 to 10:01, from 10:04 to 12:34, from 15:10 to 15:30\nFriday: Booked at the following times: from 10:29 to 12:59, from 15:59 to 17:09\n\nAmy Johnson needs a break for lunch on Tuesday from 12:27 to 12:57\nMichael Graham requires 15 minutes free before and after the meeting\nJohn Thomas can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nMrs. Jennifer Thornton needs a break for lunch on Friday from 13:00 to 13:30\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Amy Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[693, 753], [837, 877], [907, 977], [994, 1054]], "Tuesday": [[580, 630], [685, 745], [786, 816], [832, 932], [973, 1013]], "Wednesday": [[621, 751], [768, 838], [839, 899]], "Thursday": [[541, 591], [613, 663], [667, 737], [762, 802], [837, 917], [948, 988]], "Friday": [[582, 712], [728, 758], [848, 928]]}, "free_org": {"Monday": [[540, 693], [753, 837], [877, 907], [977, 994], [1054, 1080]], "Tuesday": [[540, 580], [630, 685], [745, 786], [816, 832], [932, 973], [1013, 1080]], "Wednesday": [[540, 621], [751, 768], [838, 839], [899, 1080]], "Thursday": [[540, 541], [591, 613], [663, 667], [737, 762], [802, 837], [917, 948], [988, 1080]], "Friday": [[540, 582], [712, 728], [758, 848], [928, 1080]]}, "constraint": ["lunch", ["Tuesday", [747, 777]]]}, "Michael Graham": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[560, 650], [697, 827], [886, 916], [933, 983], [984, 1054]], "Tuesday": [[659, 769], [806, 876]], "Wednesday": [[611, 681], [778, 908], [952, 992]], "Thursday": [[545, 695], [770, 820], [847, 927], [973, 1033], [1048, 1068]], "Friday": [[552, 572], [689, 739], [784, 824], [914, 944], [945, 965], [980, 1040]]}, "free_org": {"Monday": [[540, 560], [650, 697], [827, 886], [916, 933], [983, 984], [1054, 1080]], "Tuesday": [[540, 659], [769, 806], [876, 1080]], "Wednesday": [[540, 611], [681, 778], [908, 952], [992, 1080]], "Thursday": [[540, 545], [695, 770], [820, 847], [927, 973], [1033, 1048], [1068, 1080]], "Friday": [[540, 552], [572, 689], [739, 784], [824, 914], [944, 945], [965, 980], [1040, 1080]]}, "constraint": ["buffer", 15]}, "John Thomas": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[542, 592], [788, 918], [947, 997]], "Tuesday": [[550, 600], [606, 636], [746, 836], [858, 918], [979, 1049]], "Wednesday": [[566, 696], [754, 784], [919, 1029]], "Thursday": [[552, 582], [616, 676], [704, 744], [782, 862], [876, 906], [926, 1016], [1021, 1041]], "Friday": [[608, 638], [692, 712], [793, 863], [966, 996], [1024, 1044]]}, "free_org": {"Monday": [[540, 542], [592, 788], [918, 947], [997, 1080]], "Tuesday": [[540, 550], [600, 606], [636, 746], [836, 858], [918, 979], [1049, 1080]], "Wednesday": [[540, 566], [696, 754], [784, 919], [1029, 1080]], "Thursday": [[540, 552], [582, 616], [676, 704], [744, 782], [862, 876], [906, 926], [1016, 1021], [1041, 1080]], "Friday": [[540, 608], [638, 692], [712, 793], [863, 966], [996, 1024], [1044, 1080]]}, "constraint": ["conflict", 20]}, "Mrs. Jennifer Thornton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[678, 818], [873, 983], [1004, 1064]], "Tuesday": [[570, 710], [739, 879]], "Wednesday": [[656, 766], [816, 946], [946, 1056]], "Thursday": [[561, 601], [604, 754], [910, 930]], "Friday": [[629, 779], [959, 1029]]}, "free_org": {"Monday": [[540, 678], [818, 873], [983, 1004], [1064, 1080]], "Tuesday": [[540, 570], [710, 739], [879, 1080]], "Wednesday": [[540, 656], [766, 816], [1056, 1080]], "Thursday": [[540, 561], [601, 604], [754, 910], [930, 1080]], "Friday": [[540, 629], [779, 959], [1029, 1080]]}, "constraint": ["lunch", ["Friday", [780, 810]]]}}, "solution": {"max_duration": 41, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAndrea Dixon, James Kelly, Alan Hall, Andrea Gonzalez, Derrick Silva, Karen Miller work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Andrea Dixon's week in their local time is as follows:\nMonday: Booked at the following times: from 9:03 to 10:03, from 10:07 to 10:57, from 11:32 to 12:52, from 14:02 to 15:02, from 16:06 to 16:26\nTuesday: Booked at the following times: from 11:03 to 13:13, from 13:20 to 15:40\nWednesday: Booked at the following times: from 9:02 to 10:12, from 10:43 to 11:23, from 11:38 to 12:28, from 13:08 to 13:28, from 14:20 to 15:00, from 15:29 to 16:19\nThursday: Booked at the following times: from 9:23 to 10:43, from 10:57 to 12:37, from 13:46 to 14:36\nFriday: Booked at the following times: from 9:16 to 10:26, from 12:44 to 15:04\n\nThe schedule for James Kelly's week in their local time is as follows:\nMonday: Booked at the following times: from 10:21 to 12:41, from 13:58 to 14:28, from 15:38 to 16:18, from 16:36 to 17:36\nTuesday: Booked at the following times: from 10:46 to 12:46, from 13:12 to 14:52, from 17:21 to 17:41\nWednesday: Booked at the following times: from 9:23 to 9:43, from 9:45 to 11:55, from 13:59 to 16:19\nThursday: Booked at the following times: from 9:33 to 11:23, from 11:44 to 12:04, from 14:08 to 16:38\nFriday: Booked at the following times: from 9:02 to 11:02, from 12:19 to 13:59\n\nThe schedule for Alan Hall's week in their local time is as follows:\nMonday: Booked at the following times: from 10:07 to 11:57, from 12:20 to 12:40, from 12:50 to 13:10, from 13:57 to 14:47, from 15:02 to 17:22\nTuesday: Free only at the following times: anytime before 9:21, from 10:21 to 11:05, from 14:15 to 15:59, from 16:29 to 16:41, anytime after 17:31\nWednesday: Booked at the following times: from 10:37 to 12:47, from 14:27 to 15:17, from 15:46 to 16:56\nThursday: Booked at the following times: from 9:21 to 10:21, from 11:08 to 11:28, from 12:16 to 13:16, from 14:17 to 15:27, from 15:55 to 16:35\nFriday: Booked at the following times: from 9:05 to 10:45, from 12:01 to 12:21, from 12:49 to 14:29, from 14:33 to 16:43, from 16:59 to 17:29\n\nThe schedule for Andrea Gonzalez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:47 to 11:07, from 14:45 to 15:15, from 15:37 to 17:47\nTuesday: Booked at the following times: from 9:16 to 9:36, from 9:39 to 10:19, from 10:39 to 12:19, from 13:44 to 15:24, from 16:11 to 17:21\nWednesday: Free only at the following times: anytime before 9:07, from 13:27 to 15:47, anytime after 17:07\nThursday: Booked at the following times: from 9:53 to 11:23, from 12:26 to 13:46, from 14:36 to 15:36\nFriday: Booked at the following times: from 9:28 to 9:58, from 10:30 to 11:10, from 11:25 to 11:45, from 11:58 to 13:08, from 13:23 to 13:53, from 14:31 to 15:21, from 15:30 to 15:50, from 17:16 to 17:56\n\nThe schedule for Derrick Silva's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 11:23, from 14:43 to 15:33, from 15:44 to 17:34\nTuesday: Booked at the following times: from 10:03 to 12:23, from 12:32 to 13:02, from 14:41 to 17:11\nWednesday: Free only at the following times: anytime before 9:57, from 11:57 to 12:08, from 14:48 to 15:42, anytime after 16:22\nThursday: Booked at the following times: from 9:12 to 11:32, from 13:08 to 14:18\nFriday: Booked at the following times: from 9:58 to 11:58, from 12:23 to 12:53, from 13:42 to 14:42, from 14:49 to 16:59\n\nThe schedule for Karen Miller's week in their local time is as follows:\nMonday: Booked at the following times: from 9:38 to 10:08, from 10:42 to 11:02, from 11:56 to 13:56, from 14:42 to 15:02, from 15:40 to 16:00, from 16:23 to 16:53\nTuesday: Booked at the following times: from 9:08 to 9:28, from 10:41 to 12:51, from 14:03 to 14:43, from 16:12 to 16:32\nWednesday: Booked at the following times: from 11:35 to 12:55, from 14:36 to 16:36\nThursday: Booked at the following times: from 9:16 to 11:06, from 11:43 to 13:33, from 15:40 to 17:20\nFriday: Booked at the following times: from 10:00 to 12:10, from 12:56 to 14:16, from 15:50 to 16:10\n\nAndrea Dixon requires 10 minutes free before and after the meeting\nJames Kelly is in a timezone that is 1 hour ahead of other participants\nAlan Hall needs a break for lunch on Friday from 11:19 to 11:49\nDerrick Silva requires 10 minutes free before and after the meeting\nKaren Miller is in a timezone that is 1 hour ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Andrea Dixon": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[543, 603], [607, 657], [692, 772], [842, 902], [966, 986]], "Tuesday": [[663, 793], [800, 940]], "Wednesday": [[542, 612], [643, 683], [698, 748], [788, 808], [860, 900], [929, 979]], "Thursday": [[563, 643], [657, 757], [826, 876]], "Friday": [[556, 626], [764, 904]]}, "free_org": {"Monday": [[540, 543], [603, 607], [657, 692], [772, 842], [902, 966], [986, 1080]], "Tuesday": [[540, 663], [793, 800], [940, 1080]], "Wednesday": [[540, 542], [612, 643], [683, 698], [748, 788], [808, 860], [900, 929], [979, 1080]], "Thursday": [[540, 563], [643, 657], [757, 826], [876, 1080]], "Friday": [[540, 556], [626, 764], [904, 1080]]}, "constraint": ["buffer", 10]}, "James Kelly": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[621, 761], [838, 868], [938, 978], [996, 1056]], "Tuesday": [[646, 766], [792, 892], [1041, 1061]], "Wednesday": [[563, 583], [585, 715], [839, 979]], "Thursday": [[573, 683], [704, 724], [848, 998]], "Friday": [[542, 662], [739, 839]]}, "free_org": {"Monday": [[540, 621], [761, 838], [868, 938], [978, 996], [1056, 1080]], "Tuesday": [[540, 646], [766, 792], [892, 1041], [1061, 1080]], "Wednesday": [[540, 563], [583, 585], [715, 839], [979, 1080]], "Thursday": [[540, 573], [683, 704], [724, 848], [998, 1080]], "Friday": [[540, 542], [662, 739], [839, 1080]]}, "constraint": ["timezone", 1]}, "Alan Hall": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[607, 717], [740, 760], [770, 790], [837, 887], [902, 1042]], "Tuesday": [[561, 621], [665, 785], [785, 855], [959, 989], [1001, 1051]], "Wednesday": [[637, 767], [867, 917], [946, 1016]], "Thursday": [[561, 621], [668, 688], [736, 796], [857, 927], [955, 995]], "Friday": [[545, 645], [721, 741], [769, 869], [873, 1003], [1019, 1049]]}, "free_org": {"Monday": [[540, 607], [717, 740], [760, 770], [790, 837], [887, 902], [1042, 1080]], "Tuesday": [[540, 561], [621, 665], [855, 959], [989, 1001], [1051, 1080]], "Wednesday": [[540, 637], [767, 867], [917, 946], [1016, 1080]], "Thursday": [[540, 561], [621, 668], [688, 736], [796, 857], [927, 955], [995, 1080]], "Friday": [[540, 545], [645, 721], [741, 769], [869, 873], [1003, 1019], [1049, 1080]]}, "constraint": ["lunch", ["Friday", [679, 709]]]}, "Andrea Gonzalez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[587, 667], [885, 915], [937, 1067]], "Tuesday": [[556, 576], [579, 619], [639, 739], [824, 924], [971, 1041]], "Wednesday": [[547, 657], [657, 807], [947, 1027]], "Thursday": [[593, 683], [746, 826], [876, 936]], "Friday": [[568, 598], [630, 670], [685, 705], [718, 788], [803, 833], [871, 921], [930, 950], [1036, 1076]]}, "free_org": {"Monday": [[540, 587], [667, 885], [915, 937], [1067, 1080]], "Tuesday": [[540, 556], [576, 579], [619, 639], [739, 824], [924, 971], [1041, 1080]], "Wednesday": [[540, 547], [807, 947], [1027, 1080]], "Thursday": [[540, 593], [683, 746], [826, 876], [936, 1080]], "Friday": [[540, 568], [598, 630], [670, 685], [705, 718], [788, 803], [833, 871], [921, 930], [950, 1036], [1076, 1080]]}, "constraint": ["none", null]}, "Derrick Silva": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 683], [883, 933], [944, 1054]], "Tuesday": [[603, 743], [752, 782], [881, 1031]], "Wednesday": [[597, 717], [728, 868], [868, 888], [942, 982]], "Thursday": [[552, 692], [788, 858]], "Friday": [[598, 718], [743, 773], [822, 882], [889, 1019]]}, "free_org": {"Monday": [[540, 573], [683, 883], [933, 944], [1054, 1080]], "Tuesday": [[540, 603], [743, 752], [782, 881], [1031, 1080]], "Wednesday": [[540, 597], [717, 728], [888, 942], [982, 1080]], "Thursday": [[540, 552], [692, 788], [858, 1080]], "Friday": [[540, 598], [718, 743], [773, 822], [882, 889], [1019, 1080]]}, "constraint": ["buffer", 10]}, "Karen Miller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[578, 608], [642, 662], [716, 836], [882, 902], [940, 960], [983, 1013]], "Tuesday": [[548, 568], [641, 771], [843, 883], [972, 992]], "Wednesday": [[695, 775], [876, 996]], "Thursday": [[556, 666], [703, 813], [940, 1040]], "Friday": [[600, 730], [776, 856], [950, 970]]}, "free_org": {"Monday": [[540, 578], [608, 642], [662, 716], [836, 882], [902, 940], [960, 983], [1013, 1080]], "Tuesday": [[540, 548], [568, 641], [771, 843], [883, 972], [992, 1080]], "Wednesday": [[540, 695], [775, 876], [996, 1080]], "Thursday": [[540, 556], [666, 703], [813, 940], [1040, 1080]], "Friday": [[540, 600], [730, 776], [856, 950], [970, 1080]]}, "constraint": ["timezone", 1]}}, "solution": {"max_duration": 25, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJennifer Mason, Mark Dickerson, Leah Horn, Paul Morrison work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Jennifer Mason's week in their local time is as follows:\nMonday: Booked at the following times: from 9:12 to 11:22, from 12:14 to 12:44, from 13:18 to 14:08, from 15:47 to 17:47\nTuesday: Booked at the following times: from 9:30 to 11:40, from 11:44 to 13:24, from 13:28 to 13:58, from 15:30 to 15:50, from 16:06 to 16:36\nWednesday: Free only at the following times: anytime before 9:55, from 11:35 to 13:32, from 14:42 to 14:56, from 15:36 to 17:20\nThursday: Booked at the following times: from 11:21 to 12:51, from 12:56 to 14:36, from 14:57 to 15:27, from 17:13 to 17:53\nFriday: Booked at the following times: from 9:14 to 10:54, from 12:06 to 12:26, from 13:41 to 15:11, from 15:27 to 17:27\n\nThe schedule for Mark Dickerson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:14 to 11:54, from 15:14 to 17:34\nTuesday: Booked at the following times: from 10:20 to 11:00, from 12:43 to 15:03\nWednesday: Booked at the following times: from 10:03 to 12:33, from 15:08 to 17:18\nThursday: Free only at the following times: anytime before 9:20, from 11:10 to 11:18, from 11:38 to 12:13, from 13:23 to 14:12, from 14:52 to 15:48, anytime after 17:08\nFriday: Booked at the following times: from 9:25 to 11:35, from 12:30 to 14:40, from 14:55 to 16:45\n\nThe schedule for Leah Horn's week in their local time is as follows:\nMonday: Booked at the following times: from 10:00 to 10:50, from 11:05 to 12:45, from 12:46 to 14:26, from 14:58 to 16:18, from 16:29 to 17:19\nTuesday: Free only at the following times: from 11:00 to 14:14, from 15:04 to 15:57, anytime after 17:37\nWednesday: Booked at the following times: from 9:11 to 11:41, from 13:34 to 14:44, from 15:14 to 15:44, from 15:53 to 16:13, from 16:42 to 17:32\nThursday: Booked at the following times: from 9:29 to 10:19, from 10:30 to 12:00, from 12:09 to 12:49, from 13:07 to 13:27, from 14:07 to 14:37, from 15:42 to 16:02, from 16:26 to 16:56, from 17:07 to 17:37\nFriday: Booked at the following times: from 9:08 to 9:38, from 12:10 to 14:40\n\nThe schedule for Paul Morrison's week in their local time is as follows:\nMonday: Booked at the following times: from 9:52 to 10:32, from 11:39 to 11:59, from 12:22 to 14:32, from 14:38 to 16:28\nTuesday: Booked at the following times: from 11:40 to 13:00, from 13:41 to 14:11, from 14:14 to 14:54, from 15:19 to 16:09\nWednesday: Booked at the following times: from 10:03 to 10:33, from 10:35 to 11:25, from 11:31 to 12:31, from 13:18 to 13:38, from 13:47 to 14:17, from 14:20 to 15:30, from 15:31 to 16:11, from 16:53 to 17:23, from 17:32 to 17:52\nThursday: Booked at the following times: from 9:34 to 10:04, from 10:26 to 11:36, from 12:19 to 13:49, from 15:29 to 16:49\nFriday: Booked at the following times: from 9:37 to 10:17, from 10:21 to 11:51, from 12:03 to 14:03\n\nMark Dickerson is in a timezone that is 3 hours behind of other participants\nLeah Horn requires 15 minutes free before and after the meeting\nPaul Morrison can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Jennifer Mason": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[552, 682], [734, 764], [798, 848], [947, 1067]], "Tuesday": [[570, 700], [704, 804], [808, 838], [930, 950], [966, 996]], "Wednesday": [[595, 695], [812, 882], [896, 936], [1040, 1080]], "Thursday": [[681, 771], [776, 876], [897, 927], [1033, 1073]], "Friday": [[554, 654], [726, 746], [821, 911], [927, 1047]]}, "free_org": {"Monday": [[540, 552], [682, 734], [764, 798], [848, 947], [1067, 1080]], "Tuesday": [[540, 570], [700, 704], [804, 808], [838, 930], [950, 966], [996, 1080]], "Wednesday": [[540, 595], [695, 812], [882, 896], [936, 1040]], "Thursday": [[540, 681], [771, 776], [876, 897], [927, 1033], [1073, 1080]], "Friday": [[540, 554], [654, 726], [746, 821], [911, 927], [1047, 1080]]}, "constraint": ["none", null]}, "Mark Dickerson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[674, 714], [914, 1054]], "Tuesday": [[620, 660], [763, 903]], "Wednesday": [[603, 753], [908, 1038]], "Thursday": [[560, 590], [590, 670], [678, 698], [733, 803], [852, 892], [948, 1028]], "Friday": [[565, 695], [750, 880], [895, 1005]]}, "free_org": {"Monday": [[540, 674], [714, 914], [1054, 1080]], "Tuesday": [[540, 620], [660, 763], [903, 1080]], "Wednesday": [[540, 603], [753, 908], [1038, 1080]], "Thursday": [[540, 560], [670, 678], [698, 733], [803, 852], [892, 948], [1028, 1080]], "Friday": [[540, 565], [695, 750], [880, 895], [1005, 1080]]}, "constraint": ["timezone", -3]}, "Leah Horn": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[600, 650], [665, 765], [766, 866], [898, 978], [989, 1039]], "Tuesday": [[540, 660], [854, 904], [957, 1057]], "Wednesday": [[551, 701], [814, 884], [914, 944], [953, 973], [1002, 1052]], "Thursday": [[569, 619], [630, 720], [729, 769], [787, 807], [847, 877], [942, 962], [986, 1016], [1027, 1057]], "Friday": [[548, 578], [730, 880]]}, "free_org": {"Monday": [[540, 600], [650, 665], [765, 766], [866, 898], [978, 989], [1039, 1080]], "Tuesday": [[660, 854], [904, 957], [1057, 1080]], "Wednesday": [[540, 551], [701, 814], [884, 914], [944, 953], [973, 1002], [1052, 1080]], "Thursday": [[540, 569], [619, 630], [720, 729], [769, 787], [807, 847], [877, 942], [962, 986], [1016, 1027], [1057, 1080]], "Friday": [[540, 548], [578, 730], [880, 1080]]}, "constraint": ["buffer", 15]}, "Paul Morrison": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[592, 632], [699, 719], [742, 872], [878, 988]], "Tuesday": [[700, 780], [821, 851], [854, 894], [919, 969]], "Wednesday": [[603, 633], [635, 685], [691, 751], [798, 818], [827, 857], [860, 930], [931, 971], [1013, 1043], [1052, 1072]], "Thursday": [[574, 604], [626, 696], [739, 829], [929, 1009]], "Friday": [[577, 617], [621, 711], [723, 843]]}, "free_org": {"Monday": [[540, 592], [632, 699], [719, 742], [872, 878], [988, 1080]], "Tuesday": [[540, 700], [780, 821], [851, 854], [894, 919], [969, 1080]], "Wednesday": [[540, 603], [633, 635], [685, 691], [751, 798], [818, 827], [857, 860], [930, 931], [971, 1013], [1043, 1052], [1072, 1080]], "Thursday": [[540, 574], [604, 626], [696, 739], [829, 929], [1009, 1080]], "Friday": [[540, 577], [617, 621], [711, 723], [843, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 32, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nBrandy King, James Williams, James Campos work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Brandy King's week in their local time is as follows:\nMonday: Booked at the following times: from 9:39 to 11:39, from 16:33 to 17:53\nTuesday: Booked at the following times: from 9:17 to 9:37, from 10:00 to 12:30, from 12:44 to 13:24, from 13:43 to 14:23, from 14:59 to 15:39, from 16:29 to 16:59\nWednesday: Free only at the following times: from 10:50 to 11:12, from 12:42 to 13:21, from 13:41 to 13:55, from 14:35 to 16:17, anytime after 16:47\nThursday: Booked at the following times: from 11:56 to 13:56, from 15:57 to 17:47\nFriday: Booked at the following times: from 9:10 to 10:00, from 12:09 to 13:29, from 13:39 to 15:39, from 16:01 to 16:41, from 17:16 to 17:56\n\nThe schedule for James Williams's week in their local time is as follows:\nMonday: Booked at the following times: from 9:49 to 11:59, from 13:07 to 14:47\nTuesday: Booked at the following times: from 13:17 to 14:37, from 14:48 to 15:08, from 15:44 to 17:54\nWednesday: Booked at the following times: from 9:19 to 9:49, from 9:52 to 10:52, from 11:29 to 11:59, from 13:23 to 14:03, from 14:27 to 14:47, from 15:07 to 16:57, from 17:37 to 17:57\nThursday: Booked at the following times: from 9:27 to 10:07, from 10:11 to 10:51, from 11:41 to 13:31, from 13:52 to 14:12, from 14:20 to 16:00, from 16:08 to 16:28, from 17:18 to 17:38\nFriday: Booked at the following times: from 9:13 to 11:23, from 11:31 to 12:01, from 14:34 to 15:14, from 15:47 to 17:37\n\nThe schedule for James Campos's week in their local time is as follows:\nMonday: Booked at the following times: from 10:24 to 11:44, from 11:49 to 12:39, from 13:29 to 15:29, from 16:11 to 17:51\nTuesday: Free only at the following times: anytime before 9:35, from 11:15 to 12:34, from 13:14 to 13:27, from 15:47 to 15:49, from 16:09 to 17:10\nWednesday: Booked at the following times: from 10:52 to 13:02, from 13:22 to 14:02, from 14:28 to 15:08, from 17:01 to 17:51\nThursday: Free only at the following times: anytime before 9:53, from 11:23 to 13:27, anytime after 16:27\nFriday: Booked at the following times: from 9:17 to 9:47, from 10:15 to 11:35, from 12:30 to 13:50, from 14:58 to 16:28\n\nBrandy King requires 15 minutes free before and after the meeting\nJames Williams needs a break for lunch on Tuesday from 11:31 to 12:01\nJames Campos requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Brandy King": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[579, 699], [993, 1073]], "Tuesday": [[557, 577], [600, 750], [764, 804], [823, 863], [899, 939], [989, 1019]], "Wednesday": [[540, 650], [672, 762], [801, 821], [835, 875], [977, 1007]], "Thursday": [[716, 836], [957, 1067]], "Friday": [[550, 600], [729, 809], [819, 939], [961, 1001], [1036, 1076]]}, "free_org": {"Monday": [[540, 579], [699, 993], [1073, 1080]], "Tuesday": [[540, 557], [577, 600], [750, 764], [804, 823], [863, 899], [939, 989], [1019, 1080]], "Wednesday": [[650, 672], [762, 801], [821, 835], [875, 977], [1007, 1080]], "Thursday": [[540, 716], [836, 957], [1067, 1080]], "Friday": [[540, 550], [600, 729], [809, 819], [939, 961], [1001, 1036], [1076, 1080]]}, "constraint": ["buffer", 15]}, "James Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[589, 719], [787, 887]], "Tuesday": [[797, 877], [888, 908], [944, 1074]], "Wednesday": [[559, 589], [592, 652], [689, 719], [803, 843], [867, 887], [907, 1017], [1057, 1077]], "Thursday": [[567, 607], [611, 651], [701, 811], [832, 852], [860, 960], [968, 988], [1038, 1058]], "Friday": [[553, 683], [691, 721], [874, 914], [947, 1057]]}, "free_org": {"Monday": [[540, 589], [719, 787], [887, 1080]], "Tuesday": [[540, 797], [877, 888], [908, 944], [1074, 1080]], "Wednesday": [[540, 559], [589, 592], [652, 689], [719, 803], [843, 867], [887, 907], [1017, 1057], [1077, 1080]], "Thursday": [[540, 567], [607, 611], [651, 701], [811, 832], [852, 860], [960, 968], [988, 1038], [1058, 1080]], "Friday": [[540, 553], [683, 691], [721, 874], [914, 947], [1057, 1080]]}, "constraint": ["lunch", ["Tuesday", [691, 721]]]}, "James Campos": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[624, 704], [709, 759], [809, 929], [971, 1071]], "Tuesday": [[575, 675], [754, 794], [807, 947], [949, 969], [1030, 1080]], "Wednesday": [[652, 782], [802, 842], [868, 908], [1021, 1071]], "Thursday": [[593, 683], [807, 857], [857, 987]], "Friday": [[557, 587], [615, 695], [750, 830], [898, 988]]}, "free_org": {"Monday": [[540, 624], [704, 709], [759, 809], [929, 971], [1071, 1080]], "Tuesday": [[540, 575], [675, 754], [794, 807], [947, 949], [969, 1030]], "Wednesday": [[540, 652], [782, 802], [842, 868], [908, 1021], [1071, 1080]], "Thursday": [[540, 593], [683, 807], [987, 1080]], "Friday": [[540, 557], [587, 615], [695, 750], [830, 898], [988, 1080]]}, "constraint": ["buffer", 15]}}, "solution": {"max_duration": 13, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAlex Williams, Jennifer Sims, Nathan Marquez, Emily Mccoy, Jessica Butler, Susan Baker work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Alex Williams's week in their local time is as follows:\nMonday: Booked at the following times: from 9:56 to 11:06, from 11:45 to 13:15, from 13:18 to 13:48, from 14:49 to 15:59, from 16:18 to 16:58\nTuesday: Booked at the following times: from 9:01 to 9:41, from 9:46 to 10:16, from 10:37 to 11:47, from 13:41 to 15:31, from 16:05 to 17:05\nWednesday: Booked at the following times: from 9:09 to 9:39, from 12:08 to 13:28, from 13:46 to 16:06, from 16:21 to 17:41\nThursday: Booked at the following times: from 11:40 to 14:10, from 14:27 to 16:47\nFriday: Booked at the following times: from 10:04 to 12:24, from 13:13 to 14:13, from 14:20 to 14:40, from 15:21 to 17:51\n\nThe schedule for Jennifer Sims's week in their local time is as follows:\nMonday: Booked at the following times: from 10:43 to 11:23, from 13:20 to 14:30, from 16:03 to 17:33\nTuesday: Booked at the following times: from 9:34 to 11:24, from 13:53 to 15:53\nWednesday: Booked at the following times: from 9:54 to 11:34, from 11:57 to 13:07, from 14:42 to 15:12\nThursday: Booked at the following times: from 9:30 to 10:00, from 10:14 to 10:44, from 11:09 to 11:29, from 11:37 to 13:47, from 14:32 to 14:52, from 16:08 to 16:48, from 17:12 to 17:32, from 17:34 to 17:54\nFriday: Booked at the following times: from 9:30 to 11:10, from 11:14 to 13:14, from 13:30 to 13:50, from 14:52 to 15:52, from 16:02 to 17:32\n\nThe schedule for Nathan Marquez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:23 to 10:23, from 10:25 to 12:15, from 13:56 to 16:06, from 16:31 to 17:11\nTuesday: Booked at the following times: from 12:31 to 13:51, from 14:03 to 14:23, from 14:46 to 16:56\nWednesday: Booked at the following times: from 9:57 to 10:37, from 10:50 to 11:20, from 12:36 to 14:06, from 15:49 to 16:29, from 16:38 to 17:48\nThursday: Booked at the following times: from 9:01 to 11:01, from 12:41 to 14:11, from 15:19 to 16:19\nFriday: Booked at the following times: from 9:39 to 11:19, from 11:40 to 13:40, from 14:17 to 15:07, from 15:44 to 17:04\n\nThe schedule for Emily Mccoy's week in their local time is as follows:\nMonday: Booked at the following times: from 11:08 to 13:28, from 13:34 to 15:04, from 15:28 to 15:48\nTuesday: Free only at the following times: anytime before 9:22, from 10:42 to 11:46, from 13:46 to 14:10, anytime after 15:40\nWednesday: Booked at the following times: from 9:14 to 10:04, from 11:26 to 12:46, from 13:18 to 15:48\nThursday: Booked at the following times: from 9:13 to 10:43, from 11:45 to 13:05, from 13:51 to 14:51, from 14:59 to 17:09\nFriday: Booked at the following times: from 9:22 to 11:52, from 14:01 to 14:51\n\nThe schedule for Jessica Butler's week in their local time is as follows:\nMonday: Booked at the following times: from 10:00 to 10:30, from 11:45 to 13:05, from 13:45 to 15:05, from 16:48 to 17:28\nTuesday: Booked at the following times: from 11:18 to 12:08, from 12:41 to 14:11, from 14:21 to 16:41\nWednesday: Booked at the following times: from 9:38 to 10:58, from 11:33 to 12:03, from 12:14 to 13:14, from 13:27 to 15:57\nThursday: Booked at the following times: from 10:57 to 11:57, from 12:58 to 15:18, from 15:41 to 17:21\nFriday: Booked at the following times: from 9:22 to 10:42, from 10:54 to 11:14, from 11:28 to 11:48, from 14:58 to 17:08\n\nThe schedule for Susan Baker's week in their local time is as follows:\nMonday: Booked at the following times: from 9:12 to 10:02, from 11:42 to 12:42, from 13:26 to 14:46, from 15:04 to 15:54, from 16:02 to 17:22\nTuesday: Booked at the following times: from 10:14 to 12:24, from 12:33 to 13:23, from 14:29 to 15:59, from 16:14 to 17:34\nWednesday: Free only at the following times: anytime before 10:24, from 11:54 to 12:41, from 15:01 to 15:59, anytime after 16:19\nThursday: Booked at the following times: from 10:40 to 12:30, from 13:46 to 16:06, from 16:18 to 16:48\nFriday: Booked at the following times: from 11:10 to 12:20, from 12:37 to 14:37, from 14:38 to 14:58, from 15:18 to 16:38, from 16:44 to 17:14\n\nAlex Williams requires 15 minutes free before and after the meeting\nNathan Marquez can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nEmily Mccoy can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJessica Butler is in a timezone that is 2 hours ahead of other participants\nSusan Baker is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Alex Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[596, 666], [705, 795], [798, 828], [889, 959], [978, 1018]], "Tuesday": [[541, 581], [586, 616], [637, 707], [821, 931], [965, 1025]], "Wednesday": [[549, 579], [728, 808], [826, 966], [981, 1061]], "Thursday": [[700, 850], [867, 1007]], "Friday": [[604, 744], [793, 853], [860, 880], [921, 1071]]}, "free_org": {"Monday": [[540, 596], [666, 705], [795, 798], [828, 889], [959, 978], [1018, 1080]], "Tuesday": [[540, 541], [581, 586], [616, 637], [707, 821], [931, 965], [1025, 1080]], "Wednesday": [[540, 549], [579, 728], [808, 826], [966, 981], [1061, 1080]], "Thursday": [[540, 700], [850, 867], [1007, 1080]], "Friday": [[540, 604], [744, 793], [853, 860], [880, 921], [1071, 1080]]}, "constraint": ["buffer", 15]}, "Jennifer Sims": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[643, 683], [800, 870], [963, 1053]], "Tuesday": [[574, 684], [833, 953]], "Wednesday": [[594, 694], [717, 787], [882, 912]], "Thursday": [[570, 600], [614, 644], [669, 689], [697, 827], [872, 892], [968, 1008], [1032, 1052], [1054, 1074]], "Friday": [[570, 670], [674, 794], [810, 830], [892, 952], [962, 1052]]}, "free_org": {"Monday": [[540, 643], [683, 800], [870, 963], [1053, 1080]], "Tuesday": [[540, 574], [684, 833], [953, 1080]], "Wednesday": [[540, 594], [694, 717], [787, 882], [912, 1080]], "Thursday": [[540, 570], [600, 614], [644, 669], [689, 697], [827, 872], [892, 968], [1008, 1032], [1052, 1054], [1074, 1080]], "Friday": [[540, 570], [670, 674], [794, 810], [830, 892], [952, 962], [1052, 1080]]}, "constraint": ["none", null]}, "Nathan Marquez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 623], [625, 735], [836, 966], [991, 1031]], "Tuesday": [[751, 831], [843, 863], [886, 1016]], "Wednesday": [[597, 637], [650, 680], [756, 846], [949, 989], [998, 1068]], "Thursday": [[541, 661], [761, 851], [919, 979]], "Friday": [[579, 679], [700, 820], [857, 907], [944, 1024]]}, "free_org": {"Monday": [[540, 563], [623, 625], [735, 836], [966, 991], [1031, 1080]], "Tuesday": [[540, 751], [831, 843], [863, 886], [1016, 1080]], "Wednesday": [[540, 597], [637, 650], [680, 756], [846, 949], [989, 998], [1068, 1080]], "Thursday": [[540, 541], [661, 761], [851, 919], [979, 1080]], "Friday": [[540, 579], [679, 700], [820, 857], [907, 944], [1024, 1080]]}, "constraint": ["conflict", 40]}, "Emily Mccoy": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[668, 808], [814, 904], [928, 948]], "Tuesday": [[562, 642], [706, 766], [766, 826], [850, 940]], "Wednesday": [[554, 604], [686, 766], [798, 948]], "Thursday": [[553, 643], [705, 785], [831, 891], [899, 1029]], "Friday": [[562, 712], [841, 891]]}, "free_org": {"Monday": [[540, 668], [808, 814], [904, 928], [948, 1080]], "Tuesday": [[540, 562], [642, 706], [826, 850], [940, 1080]], "Wednesday": [[540, 554], [604, 686], [766, 798], [948, 1080]], "Thursday": [[540, 553], [643, 705], [785, 831], [891, 899], [1029, 1080]], "Friday": [[540, 562], [712, 841], [891, 1080]]}, "constraint": ["conflict", 20]}, "Jessica Butler": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[600, 630], [705, 785], [825, 905], [1008, 1048]], "Tuesday": [[678, 728], [761, 851], [861, 1001]], "Wednesday": [[578, 658], [693, 723], [734, 794], [807, 957]], "Thursday": [[657, 717], [778, 918], [941, 1041]], "Friday": [[562, 642], [654, 674], [688, 708], [898, 1028]]}, "free_org": {"Monday": [[540, 600], [630, 705], [785, 825], [905, 1008], [1048, 1080]], "Tuesday": [[540, 678], [728, 761], [851, 861], [1001, 1080]], "Wednesday": [[540, 578], [658, 693], [723, 734], [794, 807], [957, 1080]], "Thursday": [[540, 657], [717, 778], [918, 941], [1041, 1080]], "Friday": [[540, 562], [642, 654], [674, 688], [708, 898], [1028, 1080]]}, "constraint": ["timezone", 2]}, "Susan Baker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[552, 602], [702, 762], [806, 886], [904, 954], [962, 1042]], "Tuesday": [[614, 744], [753, 803], [869, 959], [974, 1054]], "Wednesday": [[624, 714], [761, 871], [871, 901], [959, 979]], "Thursday": [[640, 750], [826, 966], [978, 1008]], "Friday": [[670, 740], [757, 877], [878, 898], [918, 998], [1004, 1034]]}, "free_org": {"Monday": [[540, 552], [602, 702], [762, 806], [886, 904], [954, 962], [1042, 1080]], "Tuesday": [[540, 614], [744, 753], [803, 869], [959, 974], [1054, 1080]], "Wednesday": [[540, 624], [714, 761], [901, 959], [979, 1080]], "Thursday": [[540, 640], [750, 826], [966, 978], [1008, 1080]], "Friday": [[540, 670], [740, 757], [877, 878], [898, 918], [998, 1004], [1034, 1080]]}, "constraint": ["timezone", -1]}}, "solution": {"max_duration": 0, "count": 0}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nTimothy Johnson, Brian Brown, Jennifer Craig, Jennifer Medina, Keith Hoffman work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Timothy Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:55 to 11:45, from 12:09 to 12:59, from 14:13 to 16:33\nTuesday: Booked at the following times: from 11:57 to 14:17, from 14:41 to 16:51\nWednesday: Booked at the following times: from 10:07 to 11:47, from 12:03 to 12:33, from 13:26 to 14:56, from 15:06 to 17:26\nThursday: Booked at the following times: from 10:38 to 12:48, from 13:10 to 14:30, from 15:31 to 16:11, from 17:03 to 17:33\nFriday: Booked at the following times: from 11:38 to 13:38, from 14:34 to 16:54\n\nThe schedule for Brian Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 10:31 to 12:51, from 13:48 to 14:48, from 15:06 to 16:56\nTuesday: Booked at the following times: from 9:44 to 10:34, from 11:54 to 13:34, from 14:35 to 15:35\nWednesday: Booked at the following times: from 10:06 to 10:36, from 12:17 to 14:07, from 14:32 to 16:42, from 16:49 to 17:49\nThursday: Free only at the following times: anytime before 9:08, from 10:08 to 11:53, from 13:13 to 13:53, from 14:33 to 16:26, anytime after 17:06\nFriday: Booked at the following times: from 10:04 to 11:54, from 12:40 to 13:40, from 15:26 to 16:06, from 16:14 to 17:24\n\nThe schedule for Jennifer Craig's week in their local time is as follows:\nMonday: Booked at the following times: from 9:22 to 9:42, from 9:43 to 11:03, from 11:52 to 12:12, from 14:04 to 14:24, from 14:27 to 15:57, from 16:25 to 17:35\nTuesday: Booked at the following times: from 9:17 to 10:37, from 11:08 to 12:18, from 15:20 to 15:40, from 16:57 to 17:57\nWednesday: Booked at the following times: from 10:48 to 12:18, from 15:16 to 15:56, from 16:12 to 17:42\nThursday: Booked at the following times: from 9:10 to 10:30, from 11:53 to 14:13, from 14:35 to 16:15\nFriday: Booked at the following times: from 10:16 to 10:56, from 11:57 to 13:27, from 14:47 to 15:37, from 16:26 to 17:46\n\nThe schedule for Jennifer Medina's week in their local time is as follows:\nMonday: Booked at the following times: from 9:41 to 10:01, from 10:47 to 11:07, from 11:13 to 11:43, from 12:15 to 14:15, from 14:16 to 15:26, from 15:38 to 16:28, from 16:54 to 17:34\nTuesday: Booked at the following times: from 9:38 to 10:38, from 10:56 to 12:36, from 13:06 to 13:56\nWednesday: Booked at the following times: from 10:18 to 11:38, from 12:00 to 13:50, from 14:26 to 16:06, from 16:19 to 17:19\nThursday: Booked at the following times: from 10:02 to 12:32, from 14:15 to 15:35, from 15:44 to 17:54\nFriday: Booked at the following times: from 11:25 to 13:45, from 15:37 to 17:37\n\nThe schedule for Keith Hoffman's week in their local time is as follows:\nMonday: Booked at the following times: from 9:53 to 10:43, from 10:49 to 11:19, from 11:44 to 12:44, from 13:27 to 14:07, from 15:33 to 16:53\nTuesday: Booked at the following times: from 9:13 to 10:03, from 10:31 to 12:41, from 13:30 to 14:10, from 14:52 to 16:02\nWednesday: Booked at the following times: from 10:57 to 12:47, from 13:00 to 13:30, from 13:42 to 15:52, from 17:18 to 17:58\nThursday: Booked at the following times: from 9:03 to 10:03, from 10:55 to 11:45, from 12:18 to 12:58, from 14:40 to 15:40\nFriday: Booked at the following times: from 9:32 to 11:22, from 12:26 to 13:26, from 14:25 to 16:55\n\nBrian Brown is in a timezone that is 1 hour behind of other participants\nJennifer Craig is in a timezone that is 2 hours behind of other participants\nKeith Hoffman requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Timothy Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[655, 705], [729, 779], [853, 993]], "Tuesday": [[717, 857], [881, 1011]], "Wednesday": [[607, 707], [723, 753], [806, 896], [906, 1046]], "Thursday": [[638, 768], [790, 870], [931, 971], [1023, 1053]], "Friday": [[698, 818], [874, 1014]]}, "free_org": {"Monday": [[540, 655], [705, 729], [779, 853], [993, 1080]], "Tuesday": [[540, 717], [857, 881], [1011, 1080]], "Wednesday": [[540, 607], [707, 723], [753, 806], [896, 906], [1046, 1080]], "Thursday": [[540, 638], [768, 790], [870, 931], [971, 1023], [1053, 1080]], "Friday": [[540, 698], [818, 874], [1014, 1080]]}, "constraint": ["none", null]}, "Brian Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[631, 771], [828, 888], [906, 1016]], "Tuesday": [[584, 634], [714, 814], [875, 935]], "Wednesday": [[606, 636], [737, 847], [872, 1002], [1009, 1069]], "Thursday": [[548, 578], [578, 608], [713, 793], [833, 873], [986, 1026]], "Friday": [[604, 714], [760, 820], [926, 966], [974, 1044]]}, "free_org": {"Monday": [[540, 631], [771, 828], [888, 906], [1016, 1080]], "Tuesday": [[540, 584], [634, 714], [814, 875], [935, 1080]], "Wednesday": [[540, 606], [636, 737], [847, 872], [1002, 1009], [1069, 1080]], "Thursday": [[540, 548], [608, 713], [793, 833], [873, 986], [1026, 1080]], "Friday": [[540, 604], [714, 760], [820, 926], [966, 974], [1044, 1080]]}, "constraint": ["timezone", -1]}, "Jennifer Craig": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[562, 582], [583, 663], [712, 732], [844, 864], [867, 957], [985, 1055]], "Tuesday": [[557, 637], [668, 738], [920, 940], [1017, 1077]], "Wednesday": [[648, 738], [916, 956], [972, 1062]], "Thursday": [[550, 630], [713, 853], [875, 975]], "Friday": [[616, 656], [717, 807], [887, 937], [986, 1066]]}, "free_org": {"Monday": [[540, 562], [582, 583], [663, 712], [732, 844], [864, 867], [957, 985], [1055, 1080]], "Tuesday": [[540, 557], [637, 668], [738, 920], [940, 1017], [1077, 1080]], "Wednesday": [[540, 648], [738, 916], [956, 972], [1062, 1080]], "Thursday": [[540, 550], [630, 713], [853, 875], [975, 1080]], "Friday": [[540, 616], [656, 717], [807, 887], [937, 986], [1066, 1080]]}, "constraint": ["timezone", -2]}, "Jennifer Medina": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[581, 601], [647, 667], [673, 703], [735, 855], [856, 926], [938, 988], [1014, 1054]], "Tuesday": [[578, 638], [656, 756], [786, 836]], "Wednesday": [[618, 698], [720, 830], [866, 966], [979, 1039]], "Thursday": [[602, 752], [855, 935], [944, 1074]], "Friday": [[685, 825], [937, 1057]]}, "free_org": {"Monday": [[540, 581], [601, 647], [667, 673], [703, 735], [855, 856], [926, 938], [988, 1014], [1054, 1080]], "Tuesday": [[540, 578], [638, 656], [756, 786], [836, 1080]], "Wednesday": [[540, 618], [698, 720], [830, 866], [966, 979], [1039, 1080]], "Thursday": [[540, 602], [752, 855], [935, 944], [1074, 1080]], "Friday": [[540, 685], [825, 937], [1057, 1080]]}, "constraint": ["none", null]}, "Keith Hoffman": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[593, 643], [649, 679], [704, 764], [807, 847], [933, 1013]], "Tuesday": [[553, 603], [631, 761], [810, 850], [892, 962]], "Wednesday": [[657, 767], [780, 810], [822, 952], [1038, 1078]], "Thursday": [[543, 603], [655, 705], [738, 778], [880, 940]], "Friday": [[572, 682], [746, 806], [865, 1015]]}, "free_org": {"Monday": [[540, 593], [643, 649], [679, 704], [764, 807], [847, 933], [1013, 1080]], "Tuesday": [[540, 553], [603, 631], [761, 810], [850, 892], [962, 1080]], "Wednesday": [[540, 657], [767, 780], [810, 822], [952, 1038], [1078, 1080]], "Thursday": [[540, 543], [603, 655], [705, 738], [778, 880], [940, 1080]], "Friday": [[540, 572], [682, 746], [806, 865], [1015, 1080]]}, "constraint": ["buffer", 15]}}, "solution": {"max_duration": 29, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJill Thompson, Jennifer Cain, Kevin Wells work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Jill Thompson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:40 to 10:40, from 10:45 to 11:15, from 11:58 to 12:38, from 12:53 to 13:13, from 13:41 to 14:01, from 16:22 to 17:52\nTuesday: Booked at the following times: from 11:19 to 12:29, from 13:25 to 14:15, from 14:26 to 16:46\nWednesday: Booked at the following times: from 9:31 to 10:11, from 10:28 to 10:58, from 11:37 to 12:47, from 13:36 to 14:36, from 14:45 to 15:15, from 15:20 to 15:40, from 15:51 to 16:41, from 17:31 to 17:51\nThursday: Booked at the following times: from 9:09 to 9:29, from 10:03 to 10:23, from 12:08 to 13:58, from 14:37 to 15:57, from 16:01 to 17:51\nFriday: Booked at the following times: from 9:02 to 9:42, from 9:57 to 10:37, from 11:16 to 11:46, from 12:46 to 13:06, from 14:24 to 15:54, from 17:00 to 17:40\n\nThe schedule for Jennifer Cain's week in their local time is as follows:\nMonday: Booked at the following times: from 11:57 to 12:57, from 13:38 to 14:18, from 14:53 to 16:23, from 16:45 to 17:45\nTuesday: Booked at the following times: from 11:10 to 13:30, from 13:44 to 14:44, from 16:03 to 17:13\nWednesday: Booked at the following times: from 10:12 to 12:42, from 13:11 to 15:31, from 15:42 to 17:32\nThursday: Booked at the following times: from 9:55 to 10:35, from 10:40 to 11:00, from 11:13 to 11:33, from 12:27 to 14:47, from 15:05 to 16:25, from 16:31 to 17:01\nFriday: Booked at the following times: from 10:03 to 11:53, from 11:56 to 12:46, from 13:00 to 13:40, from 14:25 to 15:55, from 16:47 to 17:07\n\nThe schedule for Kevin Wells's week in their local time is as follows:\nMonday: Booked at the following times: from 9:54 to 11:04, from 12:25 to 14:15, from 15:17 to 17:07\nTuesday: Booked at the following times: from 9:06 to 9:56, from 10:47 to 12:57, from 13:30 to 14:10, from 16:39 to 17:49\nWednesday: Booked at the following times: from 9:20 to 9:40, from 12:24 to 14:14, from 14:49 to 16:39\nThursday: Booked at the following times: from 9:09 to 11:19, from 11:42 to 12:42\nFriday: Booked at the following times: from 9:03 to 10:23, from 10:30 to 11:30, from 14:00 to 16:00\n\nJill Thompson can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJennifer Cain needs a break for lunch on Monday from 11:25 to 11:55\nKevin Wells is in a timezone that is 2 hours behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Jill Thompson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[580, 640], [645, 675], [718, 758], [773, 793], [821, 841], [982, 1072]], "Tuesday": [[679, 749], [805, 855], [866, 1006]], "Wednesday": [[571, 611], [628, 658], [697, 767], [816, 876], [885, 915], [920, 940], [951, 1001], [1051, 1071]], "Thursday": [[549, 569], [603, 623], [728, 838], [877, 957], [961, 1071]], "Friday": [[542, 582], [597, 637], [676, 706], [766, 786], [864, 954], [1020, 1060]]}, "free_org": {"Monday": [[540, 580], [640, 645], [675, 718], [758, 773], [793, 821], [841, 982], [1072, 1080]], "Tuesday": [[540, 679], [749, 805], [855, 866], [1006, 1080]], "Wednesday": [[540, 571], [611, 628], [658, 697], [767, 816], [876, 885], [915, 920], [940, 951], [1001, 1051], [1071, 1080]], "Thursday": [[540, 549], [569, 603], [623, 728], [838, 877], [957, 961], [1071, 1080]], "Friday": [[540, 542], [582, 597], [637, 676], [706, 766], [786, 864], [954, 1020], [1060, 1080]]}, "constraint": ["conflict", 20]}, "Jennifer Cain": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[717, 777], [818, 858], [893, 983], [1005, 1065]], "Tuesday": [[670, 810], [824, 884], [963, 1033]], "Wednesday": [[612, 762], [791, 931], [942, 1052]], "Thursday": [[595, 635], [640, 660], [673, 693], [747, 887], [905, 985], [991, 1021]], "Friday": [[603, 713], [716, 766], [780, 820], [865, 955], [1007, 1027]]}, "free_org": {"Monday": [[540, 717], [777, 818], [858, 893], [983, 1005], [1065, 1080]], "Tuesday": [[540, 670], [810, 824], [884, 963], [1033, 1080]], "Wednesday": [[540, 612], [762, 791], [931, 942], [1052, 1080]], "Thursday": [[540, 595], [635, 640], [660, 673], [693, 747], [887, 905], [985, 991], [1021, 1080]], "Friday": [[540, 603], [713, 716], [766, 780], [820, 865], [955, 1007], [1027, 1080]]}, "constraint": ["lunch", ["Monday", [685, 715]]]}, "Kevin Wells": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[594, 664], [745, 855], [917, 1027]], "Tuesday": [[546, 596], [647, 777], [810, 850], [999, 1069]], "Wednesday": [[560, 580], [744, 854], [889, 999]], "Thursday": [[549, 679], [702, 762]], "Friday": [[543, 623], [630, 690], [840, 960]]}, "free_org": {"Monday": [[540, 594], [664, 745], [855, 917], [1027, 1080]], "Tuesday": [[540, 546], [596, 647], [777, 810], [850, 999], [1069, 1080]], "Wednesday": [[540, 560], [580, 744], [854, 889], [999, 1080]], "Thursday": [[540, 549], [679, 702], [762, 1080]], "Friday": [[540, 543], [623, 630], [690, 840], [960, 1080]]}, "constraint": ["timezone", -2]}}, "solution": {"max_duration": 47, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nManuel Diaz, Tracy Baker, Curtis Fernandez, Kathryn Mckay, Sean Sandoval work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Manuel Diaz's week in their local time is as follows:\nMonday: Booked at the following times: from 9:01 to 10:01, from 11:06 to 11:46, from 12:05 to 13:15, from 13:34 to 15:04, from 15:22 to 16:32\nTuesday: Booked at the following times: from 10:39 to 13:09, from 14:07 to 15:17, from 17:01 to 17:41\nWednesday: Booked at the following times: from 9:26 to 10:06, from 10:11 to 10:41, from 11:01 to 11:41, from 12:41 to 13:31, from 13:39 to 14:59, from 15:24 to 16:14, from 16:29 to 16:59, from 17:11 to 17:51\nThursday: Booked at the following times: from 9:36 to 10:26, from 10:53 to 11:23, from 11:37 to 12:27, from 15:47 to 16:07, from 16:50 to 17:30\nFriday: Booked at the following times: from 9:04 to 10:24, from 12:18 to 13:18, from 13:25 to 15:25, from 15:39 to 16:59\n\nThe schedule for Tracy Baker's week in their local time is as follows:\nMonday: Booked at the following times: from 9:14 to 9:34, from 10:26 to 11:46, from 12:18 to 13:38, from 14:24 to 15:24\nTuesday: Booked at the following times: from 11:10 to 13:10, from 13:19 to 14:29, from 14:31 to 16:11\nWednesday: Free only at the following times: from 9:20 to 11:20, from 12:40 to 13:01, from 13:41 to 14:21, from 15:21 to 15:56, anytime after 16:26\nThursday: Booked at the following times: from 9:28 to 10:28, from 11:52 to 13:02, from 15:17 to 17:07\nFriday: Free only at the following times: from 9:20 to 10:00, from 10:30 to 10:31, from 10:51 to 11:14, from 13:34 to 14:42, from 16:12 to 16:49, anytime after 17:39\n\nThe schedule for Curtis Fernandez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:40 to 11:00, from 11:01 to 12:01, from 12:17 to 13:57, from 14:17 to 14:47, from 15:40 to 16:40\nTuesday: Booked at the following times: from 9:17 to 10:17, from 10:58 to 12:58, from 13:52 to 15:12, from 16:08 to 17:38\nWednesday: Booked at the following times: from 9:17 to 10:17, from 10:38 to 11:18, from 11:57 to 12:57, from 13:44 to 14:34, from 14:57 to 16:37, from 16:58 to 17:48\nThursday: Booked at the following times: from 10:17 to 11:17, from 12:28 to 14:48\nFriday: Free only at the following times: anytime before 9:05, from 9:55 to 9:57, from 10:57 to 14:32, anytime after 17:02\n\nThe schedule for Kathryn Mckay's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 10:03, from 10:43 to 11:53, from 13:04 to 13:54, from 14:17 to 15:07, from 15:38 to 16:18, from 16:30 to 17:40\nTuesday: Booked at the following times: from 9:27 to 11:17, from 11:45 to 13:25, from 14:19 to 14:49, from 15:25 to 16:25\nWednesday: Booked at the following times: from 9:07 to 11:37, from 12:38 to 13:38, from 14:52 to 17:22\nThursday: Booked at the following times: from 9:15 to 9:55, from 10:43 to 11:13, from 12:26 to 13:46, from 15:05 to 17:25\nFriday: Booked at the following times: from 9:08 to 10:58, from 12:43 to 14:53\n\nThe schedule for Sean Sandoval's week in their local time is as follows:\nMonday: Booked at the following times: from 10:39 to 12:39, from 13:02 to 13:52, from 15:40 to 17:20\nTuesday: Booked at the following times: from 9:07 to 9:47, from 10:18 to 10:48, from 12:07 to 12:27, from 13:36 to 14:16, from 14:38 to 16:28\nWednesday: Booked at the following times: from 11:09 to 12:49, from 13:40 to 14:50, from 15:25 to 16:25\nThursday: Booked at the following times: from 9:36 to 10:36, from 13:24 to 15:24, from 17:19 to 17:49\nFriday: Booked at the following times: from 9:25 to 11:55, from 12:54 to 14:54\n\nCurtis Fernandez is in a timezone that is 3 hours behind of other participants\nKathryn Mckay is in a timezone that is 1 hour ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Manuel Diaz": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[541, 601], [666, 706], [725, 795], [814, 904], [922, 992]], "Tuesday": [[639, 789], [847, 917], [1021, 1061]], "Wednesday": [[566, 606], [611, 641], [661, 701], [761, 811], [819, 899], [924, 974], [989, 1019], [1031, 1071]], "Thursday": [[576, 626], [653, 683], [697, 747], [947, 967], [1010, 1050]], "Friday": [[544, 624], [738, 798], [805, 925], [939, 1019]]}, "free_org": {"Monday": [[540, 541], [601, 666], [706, 725], [795, 814], [904, 922], [992, 1080]], "Tuesday": [[540, 639], [789, 847], [917, 1021], [1061, 1080]], "Wednesday": [[540, 566], [606, 611], [641, 661], [701, 761], [811, 819], [899, 924], [974, 989], [1019, 1031], [1071, 1080]], "Thursday": [[540, 576], [626, 653], [683, 697], [747, 947], [967, 1010], [1050, 1080]], "Friday": [[540, 544], [624, 738], [798, 805], [925, 939], [1019, 1080]]}, "constraint": ["none", null]}, "Tracy Baker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[554, 574], [626, 706], [738, 818], [864, 924]], "Tuesday": [[670, 790], [799, 869], [871, 971]], "Wednesday": [[540, 560], [680, 760], [781, 821], [861, 921], [956, 986]], "Thursday": [[568, 628], [712, 782], [917, 1027]], "Friday": [[540, 560], [600, 630], [631, 651], [674, 814], [882, 972], [1009, 1059]]}, "free_org": {"Monday": [[540, 554], [574, 626], [706, 738], [818, 864], [924, 1080]], "Tuesday": [[540, 670], [790, 799], [869, 871], [971, 1080]], "Wednesday": [[560, 680], [760, 781], [821, 861], [921, 956], [986, 1080]], "Thursday": [[540, 568], [628, 712], [782, 917], [1027, 1080]], "Friday": [[560, 600], [630, 631], [651, 674], [814, 882], [972, 1009], [1059, 1080]]}, "constraint": ["none", null]}, "Curtis Fernandez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[580, 660], [661, 721], [737, 837], [857, 887], [940, 1000]], "Tuesday": [[557, 617], [658, 778], [832, 912], [968, 1058]], "Wednesday": [[557, 617], [638, 678], [717, 777], [824, 874], [897, 997], [1018, 1068]], "Thursday": [[617, 677], [748, 888]], "Friday": [[545, 595], [597, 657], [872, 1002], [1002, 1022]]}, "free_org": {"Monday": [[540, 580], [660, 661], [721, 737], [837, 857], [887, 940], [1000, 1080]], "Tuesday": [[540, 557], [617, 658], [778, 832], [912, 968], [1058, 1080]], "Wednesday": [[540, 557], [617, 638], [678, 717], [777, 824], [874, 897], [997, 1018], [1068, 1080]], "Thursday": [[540, 617], [677, 748], [888, 1080]], "Friday": [[540, 545], [595, 597], [657, 872], [1022, 1080]]}, "constraint": ["timezone", -3]}, "Kathryn Mckay": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 603], [643, 713], [784, 834], [857, 907], [938, 978], [990, 1060]], "Tuesday": [[567, 677], [705, 805], [859, 889], [925, 985]], "Wednesday": [[547, 697], [758, 818], [892, 1042]], "Thursday": [[555, 595], [643, 673], [746, 826], [905, 1045]], "Friday": [[548, 658], [763, 893]]}, "free_org": {"Monday": [[540, 573], [603, 643], [713, 784], [834, 857], [907, 938], [978, 990], [1060, 1080]], "Tuesday": [[540, 567], [677, 705], [805, 859], [889, 925], [985, 1080]], "Wednesday": [[540, 547], [697, 758], [818, 892], [1042, 1080]], "Thursday": [[540, 555], [595, 643], [673, 746], [826, 905], [1045, 1080]], "Friday": [[540, 548], [658, 763], [893, 1080]]}, "constraint": ["timezone", 1]}, "Sean Sandoval": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[639, 759], [782, 832], [940, 1040]], "Tuesday": [[547, 587], [618, 648], [727, 747], [816, 856], [878, 988]], "Wednesday": [[669, 769], [820, 890], [925, 985]], "Thursday": [[576, 636], [804, 924], [1039, 1069]], "Friday": [[565, 715], [774, 894]]}, "free_org": {"Monday": [[540, 639], [759, 782], [832, 940], [1040, 1080]], "Tuesday": [[540, 547], [587, 618], [648, 727], [747, 816], [856, 878], [988, 1080]], "Wednesday": [[540, 669], [769, 820], [890, 925], [985, 1080]], "Thursday": [[540, 576], [636, 804], [924, 1039], [1069, 1080]], "Friday": [[540, 565], [715, 774], [894, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 24, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJohn Bryant, Bryan Wilson, Jenna Johnson, Kayla Roth, Zachary Allen, Stephen Kidd work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for John Bryant's week in their local time is as follows:\nMonday: Booked at the following times: from 9:50 to 12:10, from 12:32 to 12:52, from 14:13 to 15:33, from 15:50 to 16:20\nTuesday: Booked at the following times: from 10:16 to 11:46, from 11:48 to 13:18, from 14:18 to 16:08\nWednesday: Booked at the following times: from 9:12 to 10:52, from 11:23 to 13:13, from 14:24 to 16:04\nThursday: Booked at the following times: from 12:36 to 14:36, from 15:07 to 16:27, from 16:42 to 17:32\nFriday: Booked at the following times: from 9:13 to 11:43, from 11:55 to 14:25, from 15:33 to 17:13\n\nThe schedule for Bryan Wilson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:55 to 13:15, from 13:40 to 15:50\nTuesday: Booked at the following times: from 9:48 to 10:28, from 14:23 to 16:53\nWednesday: Booked at the following times: from 12:04 to 12:54, from 14:05 to 16:25\nThursday: Booked at the following times: from 9:04 to 9:24, from 9:25 to 10:35, from 10:41 to 11:31, from 12:45 to 14:05, from 15:02 to 17:32\nFriday: Booked at the following times: from 9:28 to 11:08, from 11:16 to 11:36, from 11:48 to 12:58, from 13:53 to 14:23, from 14:25 to 14:45, from 15:29 to 16:39, from 16:56 to 17:16\n\nThe schedule for Jenna Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:54 to 12:34, from 13:02 to 14:42, from 15:06 to 17:16\nTuesday: Booked at the following times: from 9:58 to 10:28, from 10:50 to 11:50, from 11:53 to 12:33, from 13:39 to 15:39, from 15:53 to 16:13\nWednesday: Free only at the following times: anytime before 10:03, from 11:03 to 11:36, from 13:26 to 14:01, anytime after 15:21\nThursday: Booked at the following times: from 9:57 to 10:37, from 11:05 to 12:15, from 12:43 to 13:13, from 13:40 to 14:00, from 14:12 to 16:12, from 16:18 to 16:38\nFriday: Booked at the following times: from 9:45 to 10:05, from 10:09 to 10:39, from 11:08 to 11:48, from 11:56 to 12:56, from 12:58 to 14:18, from 14:53 to 15:43, from 15:45 to 16:45\n\nThe schedule for Kayla Roth's week in their local time is as follows:\nMonday: Booked at the following times: from 9:29 to 11:19, from 12:19 to 14:09, from 15:54 to 17:14\nTuesday: Booked at the following times: from 9:56 to 11:06, from 11:28 to 12:48, from 12:53 to 13:13, from 13:14 to 14:24, from 14:58 to 16:08, from 16:47 to 17:27\nWednesday: Booked at the following times: from 10:40 to 13:00, from 14:52 to 16:12, from 16:22 to 17:02\nThursday: Booked at the following times: from 9:30 to 12:00, from 14:24 to 14:54, from 15:11 to 16:01\nFriday: Booked at the following times: from 10:14 to 11:44, from 14:44 to 17:04\n\nThe schedule for Zachary Allen's week in their local time is as follows:\nMonday: Booked at the following times: from 10:50 to 11:40, from 12:26 to 14:46, from 15:01 to 15:51, from 16:25 to 17:35\nTuesday: Booked at the following times: from 11:08 to 12:18, from 12:21 to 14:31, from 14:39 to 15:39, from 17:39 to 17:59\nWednesday: Booked at the following times: from 9:47 to 12:07, from 13:20 to 14:30\nThursday: Booked at the following times: from 9:42 to 10:42, from 10:58 to 11:28, from 11:48 to 12:38, from 14:15 to 14:45, from 14:47 to 15:17, from 15:30 to 16:00, from 16:04 to 16:34\nFriday: Booked at the following times: from 9:15 to 11:15, from 11:29 to 11:59, from 13:00 to 14:30, from 14:41 to 15:31\n\nThe schedule for Stephen Kidd's week in their local time is as follows:\nMonday: Booked at the following times: from 9:28 to 11:08, from 11:54 to 12:34, from 13:24 to 14:54, from 15:17 to 16:07, from 16:31 to 17:11\nTuesday: Booked at the following times: from 9:03 to 11:03, from 11:52 to 12:22, from 14:32 to 15:32, from 15:40 to 17:40\nWednesday: Booked at the following times: from 9:51 to 10:51, from 11:47 to 12:47, from 13:00 to 13:40, from 16:46 to 17:46\nThursday: Booked at the following times: from 10:11 to 10:51, from 12:42 to 13:32, from 13:54 to 14:24, from 15:10 to 16:20, from 16:23 to 17:43\nFriday: Booked at the following times: from 9:26 to 9:56, from 10:15 to 11:55, from 14:01 to 14:21, from 15:34 to 16:54\n\nJohn Bryant is in a timezone that is 2 hours behind of other participants\nBryan Wilson needs a break for lunch on Tuesday from 11:57 to 12:27\nJenna Johnson requires 15 minutes free before and after the meeting\nKayla Roth requires 10 minutes free before and after the meeting\nZachary Allen requires 15 minutes free before and after the meeting\nStephen Kidd needs a break for lunch on Thursday from 11:22 to 11:52\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"John Bryant": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[590, 730], [752, 772], [853, 933], [950, 980]], "Tuesday": [[616, 706], [708, 798], [858, 968]], "Wednesday": [[552, 652], [683, 793], [864, 964]], "Thursday": [[756, 876], [907, 987], [1002, 1052]], "Friday": [[553, 703], [715, 865], [933, 1033]]}, "free_org": {"Monday": [[540, 590], [730, 752], [772, 853], [933, 950], [980, 1080]], "Tuesday": [[540, 616], [706, 708], [798, 858], [968, 1080]], "Wednesday": [[540, 552], [652, 683], [793, 864], [964, 1080]], "Thursday": [[540, 756], [876, 907], [987, 1002], [1052, 1080]], "Friday": [[540, 553], [703, 715], [865, 933], [1033, 1080]]}, "constraint": ["timezone", -2]}, "Bryan Wilson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[655, 795], [820, 950]], "Tuesday": [[588, 628], [863, 1013]], "Wednesday": [[724, 774], [845, 985]], "Thursday": [[544, 564], [565, 635], [641, 691], [765, 845], [902, 1052]], "Friday": [[568, 668], [676, 696], [708, 778], [833, 863], [865, 885], [929, 999], [1016, 1036]]}, "free_org": {"Monday": [[540, 655], [795, 820], [950, 1080]], "Tuesday": [[540, 588], [628, 863], [1013, 1080]], "Wednesday": [[540, 724], [774, 845], [985, 1080]], "Thursday": [[540, 544], [564, 565], [635, 641], [691, 765], [845, 902], [1052, 1080]], "Friday": [[540, 568], [668, 676], [696, 708], [778, 833], [863, 865], [885, 929], [999, 1016], [1036, 1080]]}, "constraint": ["lunch", ["Tuesday", [717, 747]]]}, "Jenna Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[714, 754], [782, 882], [906, 1036]], "Tuesday": [[598, 628], [650, 710], [713, 753], [819, 939], [953, 973]], "Wednesday": [[603, 663], [696, 776], [776, 806], [841, 921]], "Thursday": [[597, 637], [665, 735], [763, 793], [820, 840], [852, 972], [978, 998]], "Friday": [[585, 605], [609, 639], [668, 708], [716, 776], [778, 858], [893, 943], [945, 1005]]}, "free_org": {"Monday": [[540, 714], [754, 782], [882, 906], [1036, 1080]], "Tuesday": [[540, 598], [628, 650], [710, 713], [753, 819], [939, 953], [973, 1080]], "Wednesday": [[540, 603], [663, 696], [806, 841], [921, 1080]], "Thursday": [[540, 597], [637, 665], [735, 763], [793, 820], [840, 852], [972, 978], [998, 1080]], "Friday": [[540, 585], [605, 609], [639, 668], [708, 716], [776, 778], [858, 893], [943, 945], [1005, 1080]]}, "constraint": ["buffer", 15]}, "Kayla Roth": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[569, 679], [739, 849], [954, 1034]], "Tuesday": [[596, 666], [688, 768], [773, 793], [794, 864], [898, 968], [1007, 1047]], "Wednesday": [[640, 780], [892, 972], [982, 1022]], "Thursday": [[570, 720], [864, 894], [911, 961]], "Friday": [[614, 704], [884, 1024]]}, "free_org": {"Monday": [[540, 569], [679, 739], [849, 954], [1034, 1080]], "Tuesday": [[540, 596], [666, 688], [768, 773], [793, 794], [864, 898], [968, 1007], [1047, 1080]], "Wednesday": [[540, 640], [780, 892], [972, 982], [1022, 1080]], "Thursday": [[540, 570], [720, 864], [894, 911], [961, 1080]], "Friday": [[540, 614], [704, 884], [1024, 1080]]}, "constraint": ["buffer", 10]}, "Zachary Allen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[650, 700], [746, 886], [901, 951], [985, 1055]], "Tuesday": [[668, 738], [741, 871], [879, 939], [1059, 1079]], "Wednesday": [[587, 727], [800, 870]], "Thursday": [[582, 642], [658, 688], [708, 758], [855, 885], [887, 917], [930, 960], [964, 994]], "Friday": [[555, 675], [689, 719], [780, 870], [881, 931]]}, "free_org": {"Monday": [[540, 650], [700, 746], [886, 901], [951, 985], [1055, 1080]], "Tuesday": [[540, 668], [738, 741], [871, 879], [939, 1059], [1079, 1080]], "Wednesday": [[540, 587], [727, 800], [870, 1080]], "Thursday": [[540, 582], [642, 658], [688, 708], [758, 855], [885, 887], [917, 930], [960, 964], [994, 1080]], "Friday": [[540, 555], [675, 689], [719, 780], [870, 881], [931, 1080]]}, "constraint": ["buffer", 15]}, "Stephen Kidd": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[568, 668], [714, 754], [804, 894], [917, 967], [991, 1031]], "Tuesday": [[543, 663], [712, 742], [872, 932], [940, 1060]], "Wednesday": [[591, 651], [707, 767], [780, 820], [1006, 1066]], "Thursday": [[611, 651], [762, 812], [834, 864], [910, 980], [983, 1063]], "Friday": [[566, 596], [615, 715], [841, 861], [934, 1014]]}, "free_org": {"Monday": [[540, 568], [668, 714], [754, 804], [894, 917], [967, 991], [1031, 1080]], "Tuesday": [[540, 543], [663, 712], [742, 872], [932, 940], [1060, 1080]], "Wednesday": [[540, 591], [651, 707], [767, 780], [820, 1006], [1066, 1080]], "Thursday": [[540, 611], [651, 762], [812, 834], [864, 910], [980, 983], [1063, 1080]], "Friday": [[540, 566], [596, 615], [715, 841], [861, 934], [1014, 1080]]}, "constraint": ["lunch", ["Thursday", [682, 712]]]}}, "solution": {"max_duration": 17, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nStacey Johnson, James Fuller, Jennifer Powell work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Stacey Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:03 to 9:33, from 10:18 to 11:08, from 12:48 to 13:08, from 13:32 to 15:52, from 16:28 to 16:48, from 17:01 to 17:51\nTuesday: Booked at the following times: from 11:33 to 12:13, from 13:57 to 16:17\nWednesday: Booked at the following times: from 9:46 to 11:06, from 13:00 to 13:30, from 14:00 to 16:20, from 17:06 to 17:56\nThursday: Booked at the following times: from 9:17 to 11:07, from 12:32 to 14:22\nFriday: Booked at the following times: from 9:07 to 9:57, from 10:49 to 11:29, from 12:14 to 13:44, from 14:41 to 17:01\n\nThe schedule for James Fuller's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:41, from 10:01 to 10:04, from 10:44 to 11:25, from 11:45 to 13:56, from 15:36 to 15:39, from 16:09 to 16:13, anytime after 17:53\nTuesday: Booked at the following times: from 11:00 to 12:50, from 13:40 to 16:00, from 16:11 to 17:41\nWednesday: Booked at the following times: from 10:53 to 11:53, from 14:02 to 16:22\nThursday: Booked at the following times: from 10:02 to 11:12, from 12:23 to 14:13, from 14:16 to 16:26\nFriday: Booked at the following times: from 9:06 to 10:46, from 12:56 to 13:36, from 14:14 to 15:34\n\nThe schedule for Jennifer Powell's week in their local time is as follows:\nMonday: Booked at the following times: from 9:39 to 11:09, from 11:32 to 13:42, from 15:21 to 17:31\nTuesday: Booked at the following times: from 9:37 to 12:07, from 13:49 to 15:59, from 17:13 to 17:43\nWednesday: Booked at the following times: from 9:15 to 10:35, from 11:34 to 13:04, from 13:41 to 15:21\nThursday: Booked at the following times: from 9:03 to 9:23, from 10:06 to 12:16, from 13:02 to 14:22, from 14:29 to 15:39\nFriday: Booked at the following times: from 9:06 to 10:26, from 11:23 to 13:23, from 15:22 to 17:52\n\nStacey Johnson is in a timezone that is 2 hours behind of other participants\nJennifer Powell is in a timezone that is 1 hour ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Stacey Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[543, 573], [618, 668], [768, 788], [812, 952], [988, 1008], [1021, 1071]], "Tuesday": [[693, 733], [837, 977]], "Wednesday": [[586, 666], [780, 810], [840, 980], [1026, 1076]], "Thursday": [[557, 667], [752, 862]], "Friday": [[547, 597], [649, 689], [734, 824], [881, 1021]]}, "free_org": {"Monday": [[540, 543], [573, 618], [668, 768], [788, 812], [952, 988], [1008, 1021], [1071, 1080]], "Tuesday": [[540, 693], [733, 837], [977, 1080]], "Wednesday": [[540, 586], [666, 780], [810, 840], [980, 1026], [1076, 1080]], "Thursday": [[540, 557], [667, 752], [862, 1080]], "Friday": [[540, 547], [597, 649], [689, 734], [824, 881], [1021, 1080]]}, "constraint": ["timezone", -2]}, "James Fuller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[581, 601], [604, 644], [685, 705], [836, 876], [876, 936], [939, 969], [973, 1073]], "Tuesday": [[660, 770], [820, 960], [971, 1061]], "Wednesday": [[653, 713], [842, 982]], "Thursday": [[602, 672], [743, 853], [856, 986]], "Friday": [[546, 646], [776, 816], [854, 934]]}, "free_org": {"Monday": [[540, 581], [601, 604], [644, 685], [705, 836], [936, 939], [969, 973], [1073, 1080]], "Tuesday": [[540, 660], [770, 820], [960, 971], [1061, 1080]], "Wednesday": [[540, 653], [713, 842], [982, 1080]], "Thursday": [[540, 602], [672, 743], [853, 856], [986, 1080]], "Friday": [[540, 546], [646, 776], [816, 854], [934, 1080]]}, "constraint": ["none", null]}, "Jennifer Powell": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[579, 669], [692, 822], [921, 1051]], "Tuesday": [[577, 727], [829, 959], [1033, 1063]], "Wednesday": [[555, 635], [694, 784], [821, 921]], "Thursday": [[543, 563], [606, 736], [782, 862], [869, 939]], "Friday": [[546, 626], [683, 803], [922, 1072]]}, "free_org": {"Monday": [[540, 579], [669, 692], [822, 921], [1051, 1080]], "Tuesday": [[540, 577], [727, 829], [959, 1033], [1063, 1080]], "Wednesday": [[540, 555], [635, 694], [784, 821], [921, 1080]], "Thursday": [[540, 543], [563, 606], [736, 782], [862, 869], [939, 1080]], "Friday": [[540, 546], [626, 683], [803, 922], [1072, 1080]]}, "constraint": ["timezone", 1]}}, "solution": {"max_duration": 48, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nScott Wright, Sarah Huffman, Margaret Beltran, Samantha Alvarez work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Scott Wright's week in their local time is as follows:\nMonday: Booked at the following times: from 10:41 to 11:31, from 11:42 to 14:12\nTuesday: Booked at the following times: from 9:41 to 10:31, from 11:48 to 13:58, from 14:33 to 14:53, from 14:56 to 16:26, from 16:45 to 17:15\nWednesday: Free only at the following times: anytime before 9:41, from 11:21 to 11:34, from 11:54 to 14:14, from 15:04 to 17:16, anytime after 17:46\nThursday: Booked at the following times: from 10:28 to 11:08, from 11:31 to 14:01, from 16:11 to 17:21\nFriday: Booked at the following times: from 9:16 to 9:46, from 10:15 to 11:25, from 12:05 to 12:45, from 13:15 to 13:35, from 13:48 to 15:58, from 16:22 to 17:02\n\nThe schedule for Sarah Huffman's week in their local time is as follows:\nMonday: Booked at the following times: from 10:21 to 11:01, from 11:14 to 12:54, from 14:11 to 15:31, from 15:32 to 17:02\nTuesday: Booked at the following times: from 10:47 to 12:17, from 12:33 to 13:33, from 14:07 to 15:37\nWednesday: Booked at the following times: from 9:45 to 10:25, from 10:53 to 13:03, from 14:21 to 14:41, from 15:04 to 17:04, from 17:16 to 17:46\nThursday: Booked at the following times: from 11:24 to 12:44, from 12:47 to 14:47, from 14:55 to 15:15, from 15:56 to 17:26\nFriday: Booked at the following times: from 9:14 to 11:24, from 13:39 to 15:49\n\nThe schedule for Margaret Beltran's week in their local time is as follows:\nMonday: Booked at the following times: from 10:14 to 12:14, from 14:01 to 14:31, from 14:33 to 16:53\nTuesday: Booked at the following times: from 11:06 to 13:16, from 15:22 to 16:32\nWednesday: Booked at the following times: from 10:57 to 11:57, from 14:06 to 16:26\nThursday: Booked at the following times: from 10:01 to 10:31, from 11:49 to 12:29, from 12:42 to 13:22, from 13:33 to 14:03, from 14:11 to 16:21, from 16:52 to 17:42\nFriday: Booked at the following times: from 9:49 to 11:09, from 11:33 to 11:53, from 12:05 to 14:25, from 14:40 to 15:00, from 16:56 to 17:16\n\nThe schedule for Samantha Alvarez's week in their local time is as follows:\nMonday: Booked at the following times: from 10:43 to 11:43, from 12:49 to 14:39, from 15:48 to 16:58\nTuesday: Booked at the following times: from 10:33 to 12:33, from 12:48 to 14:38, from 15:42 to 16:52\nWednesday: Booked at the following times: from 9:50 to 11:30, from 12:36 to 13:36, from 14:31 to 15:41\nThursday: Booked at the following times: from 9:41 to 11:41, from 13:11 to 13:41, from 17:01 to 17:51\nFriday: Booked at the following times: from 10:39 to 11:49, from 13:25 to 15:15, from 15:42 to 16:32\n\nScott Wright can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nSamantha Alvarez needs a break for lunch on Monday from 12:10 to 12:40\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Scott Wright": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[641, 691], [702, 852]], "Tuesday": [[581, 631], [708, 838], [873, 893], [896, 986], [1005, 1035]], "Wednesday": [[581, 661], [661, 681], [694, 714], [854, 904], [1036, 1066]], "Thursday": [[628, 668], [691, 841], [971, 1041]], "Friday": [[556, 586], [615, 685], [725, 765], [795, 815], [828, 958], [982, 1022]]}, "free_org": {"Monday": [[540, 641], [691, 702], [852, 1080]], "Tuesday": [[540, 581], [631, 708], [838, 873], [893, 896], [986, 1005], [1035, 1080]], "Wednesday": [[540, 581], [681, 694], [714, 854], [904, 1036], [1066, 1080]], "Thursday": [[540, 628], [668, 691], [841, 971], [1041, 1080]], "Friday": [[540, 556], [586, 615], [685, 725], [765, 795], [815, 828], [958, 982], [1022, 1080]]}, "constraint": ["conflict", 60]}, "Sarah Huffman": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[621, 661], [674, 774], [851, 931], [932, 1022]], "Tuesday": [[647, 737], [753, 813], [847, 937]], "Wednesday": [[585, 625], [653, 783], [861, 881], [904, 1024], [1036, 1066]], "Thursday": [[684, 764], [767, 887], [895, 915], [956, 1046]], "Friday": [[554, 684], [819, 949]]}, "free_org": {"Monday": [[540, 621], [661, 674], [774, 851], [931, 932], [1022, 1080]], "Tuesday": [[540, 647], [737, 753], [813, 847], [937, 1080]], "Wednesday": [[540, 585], [625, 653], [783, 861], [881, 904], [1024, 1036], [1066, 1080]], "Thursday": [[540, 684], [764, 767], [887, 895], [915, 956], [1046, 1080]], "Friday": [[540, 554], [684, 819], [949, 1080]]}, "constraint": ["none", null]}, "Margaret Beltran": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[614, 734], [841, 871], [873, 1013]], "Tuesday": [[666, 796], [922, 992]], "Wednesday": [[657, 717], [846, 986]], "Thursday": [[601, 631], [709, 749], [762, 802], [813, 843], [851, 981], [1012, 1062]], "Friday": [[589, 669], [693, 713], [725, 865], [880, 900], [1016, 1036]]}, "free_org": {"Monday": [[540, 614], [734, 841], [871, 873], [1013, 1080]], "Tuesday": [[540, 666], [796, 922], [992, 1080]], "Wednesday": [[540, 657], [717, 846], [986, 1080]], "Thursday": [[540, 601], [631, 709], [749, 762], [802, 813], [843, 851], [981, 1012], [1062, 1080]], "Friday": [[540, 589], [669, 693], [713, 725], [865, 880], [900, 1016], [1036, 1080]]}, "constraint": ["none", null]}, "Samantha Alvarez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[643, 703], [769, 879], [948, 1018]], "Tuesday": [[633, 753], [768, 878], [942, 1012]], "Wednesday": [[590, 690], [756, 816], [871, 941]], "Thursday": [[581, 701], [791, 821], [1021, 1071]], "Friday": [[639, 709], [805, 915], [942, 992]]}, "free_org": {"Monday": [[540, 643], [703, 769], [879, 948], [1018, 1080]], "Tuesday": [[540, 633], [753, 768], [878, 942], [1012, 1080]], "Wednesday": [[540, 590], [690, 756], [816, 871], [941, 1080]], "Thursday": [[540, 581], [701, 791], [821, 1021], [1071, 1080]], "Friday": [[540, 639], [709, 805], [915, 942], [992, 1080]]}, "constraint": ["lunch", ["Monday", [730, 760]]]}}, "solution": {"max_duration": 93, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nPatricia Green, Peter Hutchinson, Alan Joyce, Annette Osborn, Debbie Stuart work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Patricia Green's week in their local time is as follows:\nMonday: Booked at the following times: from 9:20 to 10:50, from 10:59 to 11:19, from 11:24 to 12:14, from 13:32 to 16:02\nTuesday: Booked at the following times: from 9:15 to 11:05, from 12:18 to 14:08, from 15:57 to 16:17\nWednesday: Booked at the following times: from 11:05 to 11:35, from 12:03 to 13:33, from 14:22 to 15:32, from 16:37 to 17:47\nThursday: Free only at the following times: anytime before 10:12, from 11:12 to 11:58, from 13:48 to 14:08, from 14:38 to 15:30\nFriday: Booked at the following times: from 13:39 to 15:59, from 16:26 to 17:06\n\nThe schedule for Peter Hutchinson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:41 to 11:21, from 12:22 to 14:42\nTuesday: Free only at the following times: anytime before 11:53, from 12:13 to 13:13, from 14:03 to 14:54, from 17:14 to 17:20\nWednesday: Booked at the following times: from 9:51 to 11:11, from 12:30 to 14:10, from 15:00 to 16:30, from 17:10 to 17:50\nThursday: Booked at the following times: from 9:21 to 11:51, from 14:05 to 15:05, from 15:43 to 16:13\nFriday: Booked at the following times: from 9:23 to 9:43, from 10:12 to 12:32, from 12:36 to 13:06, from 14:33 to 15:13, from 15:17 to 16:47\n\nThe schedule for Alan Joyce's week in their local time is as follows:\nMonday: Booked at the following times: from 10:09 to 12:39, from 13:34 to 14:54, from 15:03 to 15:33\nTuesday: Booked at the following times: from 10:56 to 12:46, from 13:26 to 15:16\nWednesday: Booked at the following times: from 11:39 to 13:39, from 13:59 to 15:19, from 16:35 to 17:55\nThursday: Booked at the following times: from 9:38 to 9:58, from 10:11 to 10:41, from 10:45 to 13:15, from 14:28 to 15:58, from 16:14 to 16:54\nFriday: Booked at the following times: from 9:05 to 10:15, from 10:19 to 11:59, from 12:17 to 12:47, from 13:10 to 13:50, from 14:27 to 14:57, from 15:10 to 15:50, from 16:24 to 17:24\n\nThe schedule for Annette Osborn's week in their local time is as follows:\nMonday: Booked at the following times: from 9:26 to 10:16, from 10:44 to 11:44, from 11:48 to 12:08, from 13:08 to 13:28, from 13:36 to 14:16, from 14:20 to 15:00, from 15:27 to 16:37\nTuesday: Booked at the following times: from 9:20 to 9:40, from 10:00 to 10:50, from 11:41 to 13:21, from 14:29 to 16:39\nWednesday: Booked at the following times: from 9:42 to 11:32, from 11:37 to 11:57, from 12:02 to 13:42, from 13:49 to 14:59, from 15:00 to 15:30\nThursday: Booked at the following times: from 9:40 to 11:30, from 13:33 to 15:53\nFriday: Booked at the following times: from 11:17 to 12:47, from 12:52 to 14:12, from 15:54 to 16:54\n\nThe schedule for Debbie Stuart's week in their local time is as follows:\nMonday: Booked at the following times: from 10:36 to 11:36, from 13:50 to 15:50, from 16:07 to 17:37\nTuesday: Booked at the following times: from 9:33 to 10:23, from 10:42 to 11:42, from 12:12 to 14:32, from 16:00 to 16:30\nWednesday: Booked at the following times: from 9:41 to 10:21, from 11:36 to 12:46, from 13:14 to 13:34, from 14:19 to 16:39\nThursday: Booked at the following times: from 9:05 to 9:55, from 10:31 to 11:51, from 14:39 to 16:39\nFriday: Booked at the following times: from 9:28 to 10:08, from 11:37 to 12:27, from 13:06 to 14:16, from 14:28 to 14:58\n\nPatricia Green requires 5 minutes free before and after the meeting\nPeter Hutchinson is in a timezone that is 3 hours behind of other participants\nAlan Joyce needs a break for lunch on Monday from 12:51 to 13:21\nAnnette Osborn is in a timezone that is 1 hour ahead of other participants\nDebbie Stuart needs a break for lunch on Tuesday from 11:42 to 12:12\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Patricia Green": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[560, 650], [659, 679], [684, 734], [812, 962]], "Tuesday": [[555, 665], [738, 848], [957, 977]], "Wednesday": [[665, 695], [723, 813], [862, 932], [997, 1067]], "Thursday": [[612, 672], [718, 828], [848, 878], [930, 1080]], "Friday": [[819, 959], [986, 1026]]}, "free_org": {"Monday": [[540, 560], [650, 659], [679, 684], [734, 812], [962, 1080]], "Tuesday": [[540, 555], [665, 738], [848, 957], [977, 1080]], "Wednesday": [[540, 665], [695, 723], [813, 862], [932, 997], [1067, 1080]], "Thursday": [[540, 612], [672, 718], [828, 848], [878, 930]], "Friday": [[540, 819], [959, 986], [1026, 1080]]}, "constraint": ["buffer", 5]}, "Peter Hutchinson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[641, 681], [742, 882]], "Tuesday": [[713, 733], [793, 843], [894, 1034], [1040, 1080]], "Wednesday": [[591, 671], [750, 850], [900, 990], [1030, 1070]], "Thursday": [[561, 711], [845, 905], [943, 973]], "Friday": [[563, 583], [612, 752], [756, 786], [873, 913], [917, 1007]]}, "free_org": {"Monday": [[540, 641], [681, 742], [882, 1080]], "Tuesday": [[540, 713], [733, 793], [843, 894], [1034, 1040]], "Wednesday": [[540, 591], [671, 750], [850, 900], [990, 1030], [1070, 1080]], "Thursday": [[540, 561], [711, 845], [905, 943], [973, 1080]], "Friday": [[540, 563], [583, 612], [752, 756], [786, 873], [913, 917], [1007, 1080]]}, "constraint": ["timezone", -3]}, "Alan Joyce": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[609, 759], [814, 894], [903, 933]], "Tuesday": [[656, 766], [806, 916]], "Wednesday": [[699, 819], [839, 919], [995, 1075]], "Thursday": [[578, 598], [611, 641], [645, 795], [868, 958], [974, 1014]], "Friday": [[545, 615], [619, 719], [737, 767], [790, 830], [867, 897], [910, 950], [984, 1044]]}, "free_org": {"Monday": [[540, 609], [759, 814], [894, 903], [933, 1080]], "Tuesday": [[540, 656], [766, 806], [916, 1080]], "Wednesday": [[540, 699], [819, 839], [919, 995], [1075, 1080]], "Thursday": [[540, 578], [598, 611], [641, 645], [795, 868], [958, 974], [1014, 1080]], "Friday": [[540, 545], [615, 619], [719, 737], [767, 790], [830, 867], [897, 910], [950, 984], [1044, 1080]]}, "constraint": ["lunch", ["Monday", [771, 801]]]}, "Annette Osborn": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[566, 616], [644, 704], [708, 728], [788, 808], [816, 856], [860, 900], [927, 997]], "Tuesday": [[560, 580], [600, 650], [701, 801], [869, 999]], "Wednesday": [[582, 692], [697, 717], [722, 822], [829, 899], [900, 930]], "Thursday": [[580, 690], [813, 953]], "Friday": [[677, 767], [772, 852], [954, 1014]]}, "free_org": {"Monday": [[540, 566], [616, 644], [704, 708], [728, 788], [808, 816], [856, 860], [900, 927], [997, 1080]], "Tuesday": [[540, 560], [580, 600], [650, 701], [801, 869], [999, 1080]], "Wednesday": [[540, 582], [692, 697], [717, 722], [822, 829], [899, 900], [930, 1080]], "Thursday": [[540, 580], [690, 813], [953, 1080]], "Friday": [[540, 677], [767, 772], [852, 954], [1014, 1080]]}, "constraint": ["timezone", 1]}, "Debbie Stuart": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[636, 696], [830, 950], [967, 1057]], "Tuesday": [[573, 623], [642, 702], [732, 872], [960, 990]], "Wednesday": [[581, 621], [696, 766], [794, 814], [859, 999]], "Thursday": [[545, 595], [631, 711], [879, 999]], "Friday": [[568, 608], [697, 747], [786, 856], [868, 898]]}, "free_org": {"Monday": [[540, 636], [696, 830], [950, 967], [1057, 1080]], "Tuesday": [[540, 573], [623, 642], [702, 732], [872, 960], [990, 1080]], "Wednesday": [[540, 581], [621, 696], [766, 794], [814, 859], [999, 1080]], "Thursday": [[540, 545], [595, 631], [711, 879], [999, 1080]], "Friday": [[540, 568], [608, 697], [747, 786], [856, 868], [898, 1080]]}, "constraint": ["lunch", ["Tuesday", [702, 732]]]}}, "solution": {"max_duration": 15, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLeah Ortega, Joshua Caldwell, Krystal Smith work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Leah Ortega's week in their local time is as follows:\nMonday: Booked at the following times: from 9:56 to 10:26, from 10:27 to 11:47, from 12:16 to 13:16, from 14:11 to 14:41, from 14:54 to 16:24, from 17:21 to 17:51\nTuesday: Booked at the following times: from 10:46 to 11:06, from 14:07 to 15:27, from 16:01 to 16:51, from 16:57 to 17:47\nWednesday: Booked at the following times: from 9:14 to 11:04, from 13:29 to 15:39, from 16:15 to 17:05\nThursday: Booked at the following times: from 10:04 to 12:34, from 12:38 to 13:48, from 14:03 to 14:43, from 15:35 to 15:55, from 15:56 to 16:26\nFriday: Booked at the following times: from 9:56 to 10:16, from 12:42 to 14:32, from 15:19 to 16:39\n\nThe schedule for Joshua Caldwell's week in their local time is as follows:\nMonday: Booked at the following times: from 10:34 to 13:04, from 13:21 to 15:01\nTuesday: Booked at the following times: from 11:38 to 12:18, from 13:07 to 14:07, from 15:45 to 17:15\nWednesday: Booked at the following times: from 9:59 to 11:09, from 11:23 to 13:43, from 15:29 to 16:49\nThursday: Booked at the following times: from 9:41 to 10:21, from 10:49 to 11:09, from 11:46 to 12:26, from 13:25 to 14:35, from 15:29 to 15:59, from 16:23 to 17:33\nFriday: Booked at the following times: from 9:09 to 10:29, from 11:37 to 13:57\n\nThe schedule for Krystal Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 11:54 to 14:24, from 15:32 to 17:52\nTuesday: Booked at the following times: from 9:15 to 11:05, from 11:38 to 13:28, from 13:38 to 15:28, from 15:34 to 16:34, from 17:00 to 17:20\nWednesday: Booked at the following times: from 10:27 to 12:37, from 15:36 to 17:56\nThursday: Free only at the following times: anytime before 9:09, from 9:39 to 10:23, from 12:03 to 13:04, from 14:04 to 14:17, from 14:37 to 16:17, from 17:17 to 17:34, anytime after 17:54\nFriday: Booked at the following times: from 9:03 to 9:53, from 10:05 to 10:45, from 11:26 to 13:16, from 14:26 to 16:06\n\nLeah Ortega is in a timezone that is 1 hour ahead of other participants\nJoshua Caldwell needs a break for lunch on Tuesday from 11:02 to 11:32\nKrystal Smith is in a timezone that is 2 hours ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Leah Ortega": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[596, 626], [627, 707], [736, 796], [851, 881], [894, 984], [1041, 1071]], "Tuesday": [[646, 666], [847, 927], [961, 1011], [1017, 1067]], "Wednesday": [[554, 664], [809, 939], [975, 1025]], "Thursday": [[604, 754], [758, 828], [843, 883], [935, 955], [956, 986]], "Friday": [[596, 616], [762, 872], [919, 999]]}, "free_org": {"Monday": [[540, 596], [626, 627], [707, 736], [796, 851], [881, 894], [984, 1041], [1071, 1080]], "Tuesday": [[540, 646], [666, 847], [927, 961], [1011, 1017], [1067, 1080]], "Wednesday": [[540, 554], [664, 809], [939, 975], [1025, 1080]], "Thursday": [[540, 604], [754, 758], [828, 843], [883, 935], [955, 956], [986, 1080]], "Friday": [[540, 596], [616, 762], [872, 919], [999, 1080]]}, "constraint": ["timezone", 1]}, "Joshua Caldwell": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[634, 784], [801, 901]], "Tuesday": [[698, 738], [787, 847], [945, 1035]], "Wednesday": [[599, 669], [683, 823], [929, 1009]], "Thursday": [[581, 621], [649, 669], [706, 746], [805, 875], [929, 959], [983, 1053]], "Friday": [[549, 629], [697, 837]]}, "free_org": {"Monday": [[540, 634], [784, 801], [901, 1080]], "Tuesday": [[540, 698], [738, 787], [847, 945], [1035, 1080]], "Wednesday": [[540, 599], [669, 683], [823, 929], [1009, 1080]], "Thursday": [[540, 581], [621, 649], [669, 706], [746, 805], [875, 929], [959, 983], [1053, 1080]], "Friday": [[540, 549], [629, 697], [837, 1080]]}, "constraint": ["lunch", ["Tuesday", [662, 692]]]}, "Krystal Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[714, 864], [932, 1072]], "Tuesday": [[555, 665], [698, 808], [818, 928], [934, 994], [1020, 1040]], "Wednesday": [[627, 757], [936, 1076]], "Thursday": [[549, 579], [623, 683], [683, 723], [784, 844], [857, 877], [977, 1037], [1054, 1074]], "Friday": [[543, 593], [605, 645], [686, 796], [866, 966]]}, "free_org": {"Monday": [[540, 714], [864, 932], [1072, 1080]], "Tuesday": [[540, 555], [665, 698], [808, 818], [928, 934], [994, 1020], [1040, 1080]], "Wednesday": [[540, 627], [757, 936], [1076, 1080]], "Thursday": [[540, 549], [579, 623], [723, 784], [844, 857], [877, 977], [1037, 1054], [1074, 1080]], "Friday": [[540, 543], [593, 605], [645, 686], [796, 866], [966, 1080]]}, "constraint": ["timezone", 2]}}, "solution": {"max_duration": 33, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJoseph Cameron, Jerry Zhang, Daniel Padilla, Jim Martinez work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Joseph Cameron's week in their local time is as follows:\nMonday: Booked at the following times: from 9:38 to 11:28, from 11:53 to 13:43, from 15:04 to 15:44, from 16:21 to 17:11, from 17:25 to 17:45\nTuesday: Booked at the following times: from 10:48 to 12:08, from 13:24 to 15:34, from 16:00 to 16:40\nWednesday: Booked at the following times: from 9:26 to 11:26, from 15:14 to 17:44\nThursday: Booked at the following times: from 9:28 to 10:08, from 10:36 to 12:36, from 13:06 to 13:36, from 13:42 to 15:02, from 15:44 to 16:24, from 16:29 to 16:59\nFriday: Booked at the following times: from 9:45 to 10:45, from 11:20 to 12:50, from 13:10 to 13:50, from 14:17 to 15:27, from 17:07 to 17:57\n\nThe schedule for Jerry Zhang's week in their local time is as follows:\nMonday: Booked at the following times: from 9:12 to 11:02, from 11:07 to 12:07, from 12:25 to 14:25, from 14:28 to 14:48, from 15:31 to 16:41\nTuesday: Booked at the following times: from 10:32 to 12:12, from 13:50 to 16:00\nWednesday: Booked at the following times: from 9:14 to 9:34, from 10:16 to 10:46, from 10:56 to 12:06, from 12:14 to 12:34, from 13:37 to 14:07, from 14:09 to 14:59, from 15:42 to 16:02, from 16:33 to 17:13\nThursday: Booked at the following times: from 9:24 to 9:44, from 10:18 to 10:48, from 13:25 to 14:05, from 15:14 to 16:34\nFriday: Booked at the following times: from 10:21 to 11:41, from 13:48 to 15:28\n\nThe schedule for Daniel Padilla's week in their local time is as follows:\nMonday: Booked at the following times: from 10:42 to 12:02, from 12:18 to 13:48, from 15:08 to 16:58\nTuesday: Booked at the following times: from 9:16 to 11:06, from 11:31 to 13:11, from 16:23 to 17:03\nWednesday: Booked at the following times: from 9:58 to 10:18, from 11:14 to 11:54, from 11:56 to 14:16, from 14:33 to 15:03, from 15:10 to 15:30\nThursday: Booked at the following times: from 10:22 to 12:32, from 16:08 to 17:18\nFriday: Booked at the following times: from 10:23 to 11:23, from 12:22 to 14:42, from 14:44 to 15:54, from 16:51 to 17:11, from 17:27 to 17:47\n\nThe schedule for Jim Martinez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:45 to 10:25, from 10:27 to 11:57, from 12:18 to 13:38, from 14:46 to 17:16\nTuesday: Booked at the following times: from 9:42 to 10:52, from 11:59 to 13:49, from 14:39 to 14:59, from 15:47 to 16:57\nWednesday: Booked at the following times: from 10:48 to 12:48, from 13:10 to 13:50, from 14:21 to 16:21\nThursday: Free only at the following times: anytime before 9:03, from 12:13 to 12:36, from 13:26 to 14:27, from 15:17 to 16:21, anytime after 17:21\nFriday: Booked at the following times: from 10:56 to 11:26, from 12:14 to 13:44, from 13:56 to 16:16\n\nJoseph Cameron can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nDaniel Padilla needs a break for lunch on Thursday from 12:47 to 13:17\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Joseph Cameron": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[578, 688], [713, 823], [904, 944], [981, 1031], [1045, 1065]], "Tuesday": [[648, 728], [804, 934], [960, 1000]], "Wednesday": [[566, 686], [914, 1064]], "Thursday": [[568, 608], [636, 756], [786, 816], [822, 902], [944, 984], [989, 1019]], "Friday": [[585, 645], [680, 770], [790, 830], [857, 927], [1027, 1077]]}, "free_org": {"Monday": [[540, 578], [688, 713], [823, 904], [944, 981], [1031, 1045], [1065, 1080]], "Tuesday": [[540, 648], [728, 804], [934, 960], [1000, 1080]], "Wednesday": [[540, 566], [686, 914], [1064, 1080]], "Thursday": [[540, 568], [608, 636], [756, 786], [816, 822], [902, 944], [984, 989], [1019, 1080]], "Friday": [[540, 585], [645, 680], [770, 790], [830, 857], [927, 1027], [1077, 1080]]}, "constraint": ["conflict", 60]}, "Jerry Zhang": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[552, 662], [667, 727], [745, 865], [868, 888], [931, 1001]], "Tuesday": [[632, 732], [830, 960]], "Wednesday": [[554, 574], [616, 646], [656, 726], [734, 754], [817, 847], [849, 899], [942, 962], [993, 1033]], "Thursday": [[564, 584], [618, 648], [805, 845], [914, 994]], "Friday": [[621, 701], [828, 928]]}, "free_org": {"Monday": [[540, 552], [662, 667], [727, 745], [865, 868], [888, 931], [1001, 1080]], "Tuesday": [[540, 632], [732, 830], [960, 1080]], "Wednesday": [[540, 554], [574, 616], [646, 656], [726, 734], [754, 817], [847, 849], [899, 942], [962, 993], [1033, 1080]], "Thursday": [[540, 564], [584, 618], [648, 805], [845, 914], [994, 1080]], "Friday": [[540, 621], [701, 828], [928, 1080]]}, "constraint": ["none", null]}, "Daniel Padilla": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[642, 722], [738, 828], [908, 1018]], "Tuesday": [[556, 666], [691, 791], [983, 1023]], "Wednesday": [[598, 618], [674, 714], [716, 856], [873, 903], [910, 930]], "Thursday": [[622, 752], [968, 1038]], "Friday": [[623, 683], [742, 882], [884, 954], [1011, 1031], [1047, 1067]]}, "free_org": {"Monday": [[540, 642], [722, 738], [828, 908], [1018, 1080]], "Tuesday": [[540, 556], [666, 691], [791, 983], [1023, 1080]], "Wednesday": [[540, 598], [618, 674], [714, 716], [856, 873], [903, 910], [930, 1080]], "Thursday": [[540, 622], [752, 968], [1038, 1080]], "Friday": [[540, 623], [683, 742], [882, 884], [954, 1011], [1031, 1047], [1067, 1080]]}, "constraint": ["lunch", ["Thursday", [767, 797]]]}, "Jim Martinez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[585, 625], [627, 717], [738, 818], [886, 1036]], "Tuesday": [[582, 652], [719, 829], [879, 899], [947, 1017]], "Wednesday": [[648, 768], [790, 830], [861, 981]], "Thursday": [[543, 643], [643, 733], [756, 806], [867, 917], [981, 1041]], "Friday": [[656, 686], [734, 824], [836, 976]]}, "free_org": {"Monday": [[540, 585], [625, 627], [717, 738], [818, 886], [1036, 1080]], "Tuesday": [[540, 582], [652, 719], [829, 879], [899, 947], [1017, 1080]], "Wednesday": [[540, 648], [768, 790], [830, 861], [981, 1080]], "Thursday": [[540, 543], [733, 756], [806, 867], [917, 981], [1041, 1080]], "Friday": [[540, 656], [686, 734], [824, 836], [976, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 81, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nTim Krause, Angela Peterson, John Henderson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Tim Krause's week in their local time is as follows:\nMonday: Booked at the following times: from 10:04 to 10:44, from 13:45 to 15:25, from 15:52 to 17:02\nTuesday: Booked at the following times: from 9:57 to 11:37, from 12:19 to 12:39, from 13:15 to 13:55, from 15:28 to 15:58\nWednesday: Booked at the following times: from 10:16 to 12:46, from 12:54 to 14:14, from 14:26 to 16:06, from 16:46 to 17:16\nThursday: Booked at the following times: from 9:22 to 11:12, from 11:54 to 12:14, from 12:43 to 13:03, from 14:15 to 14:35, from 15:03 to 17:13\nFriday: Booked at the following times: from 10:17 to 12:27, from 14:47 to 17:17\n\nThe schedule for Angela Peterson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:46 to 11:06, from 11:10 to 11:30, from 13:08 to 15:28, from 17:35 to 17:55\nTuesday: Booked at the following times: from 9:09 to 9:29, from 10:00 to 11:30, from 12:59 to 14:09, from 15:18 to 17:38\nWednesday: Booked at the following times: from 9:56 to 10:56, from 12:53 to 14:03, from 14:45 to 16:55\nThursday: Booked at the following times: from 10:14 to 10:34, from 10:39 to 11:39, from 12:08 to 13:38, from 13:57 to 14:17, from 14:40 to 16:10, from 16:31 to 17:11\nFriday: Booked at the following times: from 9:34 to 10:04, from 12:06 to 13:36, from 14:18 to 15:58, from 16:50 to 17:20\n\nThe schedule for John Henderson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:18 to 9:48, from 11:03 to 11:43, from 11:48 to 12:38, from 13:00 to 14:10, from 15:09 to 15:49\nTuesday: Booked at the following times: from 9:12 to 9:32, from 9:48 to 10:38, from 11:20 to 11:50, from 11:55 to 13:15, from 13:48 to 14:28, from 14:32 to 16:32\nWednesday: Booked at the following times: from 9:12 to 10:12, from 11:20 to 12:30, from 12:32 to 13:12, from 15:03 to 16:53\nThursday: Booked at the following times: from 9:14 to 9:34, from 9:37 to 11:37, from 12:51 to 13:31, from 16:14 to 17:14\nFriday: Booked at the following times: from 9:17 to 9:57, from 10:29 to 12:19, from 13:41 to 14:31\n\nAngela Peterson can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nJohn Henderson can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Tim Krause": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[604, 644], [825, 925], [952, 1022]], "Tuesday": [[597, 697], [739, 759], [795, 835], [928, 958]], "Wednesday": [[616, 766], [774, 854], [866, 966], [1006, 1036]], "Thursday": [[562, 672], [714, 734], [763, 783], [855, 875], [903, 1033]], "Friday": [[617, 747], [887, 1037]]}, "free_org": {"Monday": [[540, 604], [644, 825], [925, 952], [1022, 1080]], "Tuesday": [[540, 597], [697, 739], [759, 795], [835, 928], [958, 1080]], "Wednesday": [[540, 616], [766, 774], [854, 866], [966, 1006], [1036, 1080]], "Thursday": [[540, 562], [672, 714], [734, 763], [783, 855], [875, 903], [1033, 1080]], "Friday": [[540, 617], [747, 887], [1037, 1080]]}, "constraint": ["none", null]}, "Angela Peterson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[586, 666], [670, 690], [788, 928], [1055, 1075]], "Tuesday": [[549, 569], [600, 690], [779, 849], [918, 1058]], "Wednesday": [[596, 656], [773, 843], [885, 1015]], "Thursday": [[614, 634], [639, 699], [728, 818], [837, 857], [880, 970], [991, 1031]], "Friday": [[574, 604], [726, 816], [858, 958], [1010, 1040]]}, "free_org": {"Monday": [[540, 586], [666, 670], [690, 788], [928, 1055], [1075, 1080]], "Tuesday": [[540, 549], [569, 600], [690, 779], [849, 918], [1058, 1080]], "Wednesday": [[540, 596], [656, 773], [843, 885], [1015, 1080]], "Thursday": [[540, 614], [634, 639], [699, 728], [818, 837], [857, 880], [970, 991], [1031, 1080]], "Friday": [[540, 574], [604, 726], [816, 858], [958, 1010], [1040, 1080]]}, "constraint": ["conflict", 60]}, "John Henderson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[558, 588], [663, 703], [708, 758], [780, 850], [909, 949]], "Tuesday": [[552, 572], [588, 638], [680, 710], [715, 795], [828, 868], [872, 992]], "Wednesday": [[552, 612], [680, 750], [752, 792], [903, 1013]], "Thursday": [[554, 574], [577, 697], [771, 811], [974, 1034]], "Friday": [[557, 597], [629, 739], [821, 871]]}, "free_org": {"Monday": [[540, 558], [588, 663], [703, 708], [758, 780], [850, 909], [949, 1080]], "Tuesday": [[540, 552], [572, 588], [638, 680], [710, 715], [795, 828], [868, 872], [992, 1080]], "Wednesday": [[540, 552], [612, 680], [750, 752], [792, 903], [1013, 1080]], "Thursday": [[540, 554], [574, 577], [697, 771], [811, 974], [1034, 1080]], "Friday": [[540, 557], [597, 629], [739, 821], [871, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 77, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLauren Graham, Teresa Simpson, William Miller, Sara Black, Carrie Garza work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Lauren Graham's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:46, from 10:36 to 10:58, from 11:48 to 13:43, from 16:03 to 17:10\nTuesday: Free only at the following times: anytime before 10:43, from 11:43 to 13:15, from 14:05 to 15:11, anytime after 17:21\nWednesday: Booked at the following times: from 11:54 to 13:54, from 15:08 to 15:38, from 15:49 to 17:49\nThursday: Booked at the following times: from 11:02 to 13:02, from 13:29 to 14:49, from 15:16 to 15:46, from 16:08 to 17:38\nFriday: Booked at the following times: from 9:20 to 10:20, from 10:28 to 11:28, from 11:42 to 12:52, from 14:43 to 17:03\n\nThe schedule for Teresa Simpson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:35 to 10:25, from 11:35 to 12:05, from 12:34 to 13:34, from 13:58 to 14:48, from 14:50 to 15:30, from 15:39 to 15:59\nTuesday: Booked at the following times: from 11:14 to 11:54, from 14:27 to 15:17, from 15:43 to 17:23\nWednesday: Booked at the following times: from 9:13 to 10:53, from 12:00 to 12:30, from 15:05 to 15:55, from 16:08 to 16:28, from 16:29 to 17:49\nThursday: Booked at the following times: from 9:11 to 11:01, from 11:36 to 12:06, from 13:35 to 13:55, from 14:19 to 14:49\nFriday: Booked at the following times: from 9:04 to 9:24, from 9:42 to 10:12, from 11:06 to 11:46, from 11:51 to 13:41, from 14:48 to 15:18\n\nThe schedule for William Miller's week in their local time is as follows:\nMonday: Booked at the following times: from 10:56 to 11:56, from 15:09 to 17:39\nTuesday: Booked at the following times: from 10:57 to 12:07, from 12:11 to 14:01, from 14:31 to 15:41, from 16:16 to 17:26\nWednesday: Booked at the following times: from 9:47 to 10:27, from 12:06 to 13:36, from 14:25 to 15:15, from 15:45 to 17:05\nThursday: Booked at the following times: from 11:01 to 13:31, from 14:07 to 15:47\nFriday: Booked at the following times: from 10:36 to 12:36, from 12:49 to 14:39\n\nThe schedule for Sara Black's week in their local time is as follows:\nMonday: Booked at the following times: from 9:42 to 11:42, from 12:24 to 14:34\nTuesday: Booked at the following times: from 9:44 to 11:34, from 12:38 to 13:08, from 13:27 to 13:47, from 13:50 to 14:10, from 15:01 to 15:31\nWednesday: Booked at the following times: from 10:38 to 11:38, from 12:35 to 15:05, from 16:18 to 17:38\nThursday: Booked at the following times: from 10:55 to 13:25, from 15:32 to 16:22\nFriday: Booked at the following times: from 11:04 to 12:24, from 12:29 to 13:19, from 14:38 to 15:28, from 16:48 to 17:08\n\nThe schedule for Carrie Garza's week in their local time is as follows:\nMonday: Booked at the following times: from 10:53 to 12:13, from 14:37 to 16:17, from 17:15 to 17:35\nTuesday: Booked at the following times: from 9:09 to 10:19, from 10:42 to 11:42, from 12:45 to 13:45, from 14:54 to 15:14, from 15:53 to 16:13, from 16:35 to 17:15, from 17:31 to 17:51\nWednesday: Booked at the following times: from 9:27 to 9:47, from 9:58 to 10:18, from 11:12 to 13:32, from 14:51 to 15:31, from 15:35 to 16:15, from 17:11 to 17:41\nThursday: Booked at the following times: from 9:30 to 10:10, from 10:45 to 12:35, from 13:25 to 14:45, from 15:20 to 16:40\nFriday: Booked at the following times: from 10:07 to 12:07, from 14:01 to 15:11, from 15:56 to 16:46\n\nTeresa Simpson requires 10 minutes free before and after the meeting\nSara Black requires 10 minutes free before and after the meeting\nCarrie Garza needs a break for lunch on Monday from 12:26 to 12:56\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Lauren Graham": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[586, 636], [658, 708], [823, 963], [1030, 1080]], "Tuesday": [[643, 703], [795, 845], [911, 1021], [1021, 1041]], "Wednesday": [[714, 834], [908, 938], [949, 1069]], "Thursday": [[662, 782], [809, 889], [916, 946], [968, 1058]], "Friday": [[560, 620], [628, 688], [702, 772], [883, 1023]]}, "free_org": {"Monday": [[540, 586], [636, 658], [708, 823], [963, 1030]], "Tuesday": [[540, 643], [703, 795], [845, 911], [1041, 1080]], "Wednesday": [[540, 714], [834, 908], [938, 949], [1069, 1080]], "Thursday": [[540, 662], [782, 809], [889, 916], [946, 968], [1058, 1080]], "Friday": [[540, 560], [620, 628], [688, 702], [772, 883], [1023, 1080]]}, "constraint": ["none", null]}, "Teresa Simpson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[575, 625], [695, 725], [754, 814], [838, 888], [890, 930], [939, 959]], "Tuesday": [[674, 714], [867, 917], [943, 1043]], "Wednesday": [[553, 653], [720, 750], [905, 955], [968, 988], [989, 1069]], "Thursday": [[551, 661], [696, 726], [815, 835], [859, 889]], "Friday": [[544, 564], [582, 612], [666, 706], [711, 821], [888, 918]]}, "free_org": {"Monday": [[540, 575], [625, 695], [725, 754], [814, 838], [888, 890], [930, 939], [959, 1080]], "Tuesday": [[540, 674], [714, 867], [917, 943], [1043, 1080]], "Wednesday": [[540, 553], [653, 720], [750, 905], [955, 968], [988, 989], [1069, 1080]], "Thursday": [[540, 551], [661, 696], [726, 815], [835, 859], [889, 1080]], "Friday": [[540, 544], [564, 582], [612, 666], [706, 711], [821, 888], [918, 1080]]}, "constraint": ["buffer", 10]}, "William Miller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[656, 716], [909, 1059]], "Tuesday": [[657, 727], [731, 841], [871, 941], [976, 1046]], "Wednesday": [[587, 627], [726, 816], [865, 915], [945, 1025]], "Thursday": [[661, 811], [847, 947]], "Friday": [[636, 756], [769, 879]]}, "free_org": {"Monday": [[540, 656], [716, 909], [1059, 1080]], "Tuesday": [[540, 657], [727, 731], [841, 871], [941, 976], [1046, 1080]], "Wednesday": [[540, 587], [627, 726], [816, 865], [915, 945], [1025, 1080]], "Thursday": [[540, 661], [811, 847], [947, 1080]], "Friday": [[540, 636], [756, 769], [879, 1080]]}, "constraint": ["none", null]}, "Sara Black": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[582, 702], [744, 874]], "Tuesday": [[584, 694], [758, 788], [807, 827], [830, 850], [901, 931]], "Wednesday": [[638, 698], [755, 905], [978, 1058]], "Thursday": [[655, 805], [932, 982]], "Friday": [[664, 744], [749, 799], [878, 928], [1008, 1028]]}, "free_org": {"Monday": [[540, 582], [702, 744], [874, 1080]], "Tuesday": [[540, 584], [694, 758], [788, 807], [827, 830], [850, 901], [931, 1080]], "Wednesday": [[540, 638], [698, 755], [905, 978], [1058, 1080]], "Thursday": [[540, 655], [805, 932], [982, 1080]], "Friday": [[540, 664], [744, 749], [799, 878], [928, 1008], [1028, 1080]]}, "constraint": ["buffer", 10]}, "Carrie Garza": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[653, 733], [877, 977], [1035, 1055]], "Tuesday": [[549, 619], [642, 702], [765, 825], [894, 914], [953, 973], [995, 1035], [1051, 1071]], "Wednesday": [[567, 587], [598, 618], [672, 812], [891, 931], [935, 975], [1031, 1061]], "Thursday": [[570, 610], [645, 755], [805, 885], [920, 1000]], "Friday": [[607, 727], [841, 911], [956, 1006]]}, "free_org": {"Monday": [[540, 653], [733, 877], [977, 1035], [1055, 1080]], "Tuesday": [[540, 549], [619, 642], [702, 765], [825, 894], [914, 953], [973, 995], [1035, 1051], [1071, 1080]], "Wednesday": [[540, 567], [587, 598], [618, 672], [812, 891], [931, 935], [975, 1031], [1061, 1080]], "Thursday": [[540, 570], [610, 645], [755, 805], [885, 920], [1000, 1080]], "Friday": [[540, 607], [727, 841], [911, 956], [1006, 1080]]}, "constraint": ["lunch", ["Monday", [746, 776]]]}}, "solution": {"max_duration": 32, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDavid Allen, Jonathon Arnold, Daniel Mills, Katie Jackson, Jason Harris, Robert Brock work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for David Allen's week in their local time is as follows:\nMonday: Booked at the following times: from 10:13 to 11:33, from 11:39 to 13:09, from 13:53 to 15:03, from 16:50 to 17:10, from 17:17 to 17:37\nTuesday: Booked at the following times: from 10:34 to 12:04, from 12:13 to 14:13\nWednesday: Booked at the following times: from 9:22 to 11:12, from 11:25 to 12:05, from 15:35 to 16:45\nThursday: Booked at the following times: from 10:31 to 12:11, from 14:07 to 16:07\nFriday: Booked at the following times: from 10:35 to 13:05, from 13:46 to 15:06, from 15:12 to 16:02, from 16:32 to 17:52\n\nThe schedule for Jonathon Arnold's week in their local time is as follows:\nMonday: Booked at the following times: from 9:11 to 10:31, from 12:14 to 13:04, from 13:36 to 15:36\nTuesday: Booked at the following times: from 12:19 to 14:29, from 14:37 to 15:47\nWednesday: Booked at the following times: from 9:12 to 11:42, from 14:37 to 15:07, from 15:14 to 17:24\nThursday: Booked at the following times: from 10:56 to 13:26, from 15:20 to 16:20, from 16:25 to 17:05\nFriday: Booked at the following times: from 9:09 to 10:59, from 11:11 to 12:21, from 12:47 to 13:17, from 14:23 to 14:43, from 14:54 to 15:54, from 15:59 to 16:49\n\nThe schedule for Daniel Mills's week in their local time is as follows:\nMonday: Booked at the following times: from 9:52 to 10:22, from 11:53 to 12:13, from 12:18 to 12:48, from 13:29 to 14:29, from 14:37 to 15:37, from 15:54 to 17:04\nTuesday: Booked at the following times: from 9:37 to 10:37, from 10:44 to 12:24, from 13:56 to 14:26, from 15:19 to 16:09, from 16:15 to 17:05\nWednesday: Booked at the following times: from 13:48 to 15:58, from 16:17 to 17:57\nThursday: Booked at the following times: from 9:45 to 10:55, from 11:07 to 13:07, from 14:23 to 16:23\nFriday: Booked at the following times: from 9:25 to 10:55, from 13:00 to 14:40, from 15:12 to 16:32\n\nThe schedule for Katie Jackson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:23 to 10:43, from 10:55 to 13:15, from 14:07 to 16:37, from 17:20 to 17:40\nTuesday: Booked at the following times: from 10:15 to 11:05, from 11:06 to 12:46, from 12:49 to 13:09, from 13:52 to 14:22, from 16:14 to 17:04\nWednesday: Booked at the following times: from 11:03 to 11:23, from 11:58 to 13:18, from 15:04 to 17:34\nThursday: Booked at the following times: from 9:37 to 10:27, from 11:21 to 12:41, from 13:02 to 14:12, from 16:55 to 17:15\nFriday: Booked at the following times: from 9:35 to 10:05, from 10:24 to 11:04, from 11:46 to 14:06, from 14:20 to 15:10, from 16:56 to 17:46\n\nThe schedule for Jason Harris's week in their local time is as follows:\nMonday: Booked at the following times: from 9:32 to 10:52, from 11:10 to 13:20, from 16:09 to 17:49\nTuesday: Booked at the following times: from 10:29 to 11:39, from 12:41 to 14:01, from 15:15 to 16:45\nWednesday: Booked at the following times: from 10:45 to 11:15, from 11:31 to 13:11, from 13:26 to 14:06, from 14:27 to 15:07, from 15:27 to 16:07, from 16:25 to 17:45\nThursday: Booked at the following times: from 9:30 to 10:00, from 10:24 to 11:14, from 11:34 to 12:24, from 13:15 to 14:25, from 15:03 to 16:33\nFriday: Booked at the following times: from 9:17 to 11:37, from 11:47 to 13:57, from 14:29 to 14:49, from 15:17 to 15:57, from 16:45 to 17:25\n\nThe schedule for Robert Brock's week in their local time is as follows:\nMonday: Booked at the following times: from 9:49 to 12:09, from 12:23 to 14:23, from 14:50 to 16:00\nTuesday: Free only at the following times: anytime before 9:21, from 10:31 to 11:04, from 11:24 to 11:44, from 12:44 to 15:11, anytime after 17:21\nWednesday: Booked at the following times: from 9:21 to 11:21, from 12:32 to 14:02, from 15:00 to 17:20\nThursday: Booked at the following times: from 13:14 to 13:54, from 14:34 to 15:24, from 15:38 to 15:58, from 15:59 to 17:49\nFriday: Booked at the following times: from 10:45 to 12:15, from 12:31 to 13:01, from 13:08 to 14:08, from 14:41 to 16:11, from 16:32 to 17:12, from 17:28 to 17:58\n\nDavid Allen requires 10 minutes free before and after the meeting\nJonathon Arnold can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nDaniel Mills needs a break for lunch on Monday from 11:05 to 11:35\nKatie Jackson requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"David Allen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[613, 693], [699, 789], [833, 903], [1010, 1030], [1037, 1057]], "Tuesday": [[634, 724], [733, 853]], "Wednesday": [[562, 672], [685, 725], [935, 1005]], "Thursday": [[631, 731], [847, 967]], "Friday": [[635, 785], [826, 906], [912, 962], [992, 1072]]}, "free_org": {"Monday": [[540, 613], [693, 699], [789, 833], [903, 1010], [1030, 1037], [1057, 1080]], "Tuesday": [[540, 634], [724, 733], [853, 1080]], "Wednesday": [[540, 562], [672, 685], [725, 935], [1005, 1080]], "Thursday": [[540, 631], [731, 847], [967, 1080]], "Friday": [[540, 635], [785, 826], [906, 912], [962, 992], [1072, 1080]]}, "constraint": ["buffer", 10]}, "Jonathon Arnold": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[551, 631], [734, 784], [816, 936]], "Tuesday": [[739, 869], [877, 947]], "Wednesday": [[552, 702], [877, 907], [914, 1044]], "Thursday": [[656, 806], [920, 980], [985, 1025]], "Friday": [[549, 659], [671, 741], [767, 797], [863, 883], [894, 954], [959, 1009]]}, "free_org": {"Monday": [[540, 551], [631, 734], [784, 816], [936, 1080]], "Tuesday": [[540, 739], [869, 877], [947, 1080]], "Wednesday": [[540, 552], [702, 877], [907, 914], [1044, 1080]], "Thursday": [[540, 656], [806, 920], [980, 985], [1025, 1080]], "Friday": [[540, 549], [659, 671], [741, 767], [797, 863], [883, 894], [954, 959], [1009, 1080]]}, "constraint": ["conflict", 60]}, "Daniel Mills": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[592, 622], [713, 733], [738, 768], [809, 869], [877, 937], [954, 1024]], "Tuesday": [[577, 637], [644, 744], [836, 866], [919, 969], [975, 1025]], "Wednesday": [[828, 958], [977, 1077]], "Thursday": [[585, 655], [667, 787], [863, 983]], "Friday": [[565, 655], [780, 880], [912, 992]]}, "free_org": {"Monday": [[540, 592], [622, 713], [733, 738], [768, 809], [869, 877], [937, 954], [1024, 1080]], "Tuesday": [[540, 577], [637, 644], [744, 836], [866, 919], [969, 975], [1025, 1080]], "Wednesday": [[540, 828], [958, 977], [1077, 1080]], "Thursday": [[540, 585], [655, 667], [787, 863], [983, 1080]], "Friday": [[540, 565], [655, 780], [880, 912], [992, 1080]]}, "constraint": ["lunch", ["Monday", [665, 695]]]}, "Katie Jackson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 643], [655, 795], [847, 997], [1040, 1060]], "Tuesday": [[615, 665], [666, 766], [769, 789], [832, 862], [974, 1024]], "Wednesday": [[663, 683], [718, 798], [904, 1054]], "Thursday": [[577, 627], [681, 761], [782, 852], [1015, 1035]], "Friday": [[575, 605], [624, 664], [706, 846], [860, 910], [1016, 1066]]}, "free_org": {"Monday": [[540, 563], [643, 655], [795, 847], [997, 1040], [1060, 1080]], "Tuesday": [[540, 615], [665, 666], [766, 769], [789, 832], [862, 974], [1024, 1080]], "Wednesday": [[540, 663], [683, 718], [798, 904], [1054, 1080]], "Thursday": [[540, 577], [627, 681], [761, 782], [852, 1015], [1035, 1080]], "Friday": [[540, 575], [605, 624], [664, 706], [846, 860], [910, 1016], [1066, 1080]]}, "constraint": ["buffer", 10]}, "Jason Harris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[572, 652], [670, 800], [969, 1069]], "Tuesday": [[629, 699], [761, 841], [915, 1005]], "Wednesday": [[645, 675], [691, 791], [806, 846], [867, 907], [927, 967], [985, 1065]], "Thursday": [[570, 600], [624, 674], [694, 744], [795, 865], [903, 993]], "Friday": [[557, 697], [707, 837], [869, 889], [917, 957], [1005, 1045]]}, "free_org": {"Monday": [[540, 572], [652, 670], [800, 969], [1069, 1080]], "Tuesday": [[540, 629], [699, 761], [841, 915], [1005, 1080]], "Wednesday": [[540, 645], [675, 691], [791, 806], [846, 867], [907, 927], [967, 985], [1065, 1080]], "Thursday": [[540, 570], [600, 624], [674, 694], [744, 795], [865, 903], [993, 1080]], "Friday": [[540, 557], [697, 707], [837, 869], [889, 917], [957, 1005], [1045, 1080]]}, "constraint": ["none", null]}, "Robert Brock": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[589, 729], [743, 863], [890, 960]], "Tuesday": [[561, 631], [664, 684], [704, 734], [734, 764], [911, 1041]], "Wednesday": [[561, 681], [752, 842], [900, 1040]], "Thursday": [[794, 834], [874, 924], [938, 958], [959, 1069]], "Friday": [[645, 735], [751, 781], [788, 848], [881, 971], [992, 1032], [1048, 1078]]}, "free_org": {"Monday": [[540, 589], [729, 743], [863, 890], [960, 1080]], "Tuesday": [[540, 561], [631, 664], [684, 704], [764, 911], [1041, 1080]], "Wednesday": [[540, 561], [681, 752], [842, 900], [1040, 1080]], "Thursday": [[540, 794], [834, 874], [924, 938], [958, 959], [1069, 1080]], "Friday": [[540, 645], [735, 751], [781, 788], [848, 881], [971, 992], [1032, 1048], [1078, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 29, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJohnny Dominguez, Edwin Baker, Alyssa Warren work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Johnny Dominguez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:53 to 11:53, from 12:35 to 13:55, from 14:46 to 15:46\nTuesday: Booked at the following times: from 9:28 to 9:58, from 10:19 to 11:09, from 11:39 to 12:59, from 13:29 to 13:59, from 14:38 to 15:38, from 16:00 to 16:50\nWednesday: Booked at the following times: from 9:11 to 9:51, from 10:27 to 11:37, from 11:46 to 13:36, from 14:27 to 14:47, from 14:53 to 16:03\nThursday: Free only at the following times: from 11:00 to 13:33, from 15:23 to 15:38, anytime after 17:08\nFriday: Booked at the following times: from 9:21 to 10:51, from 10:59 to 12:19, from 15:27 to 17:07\n\nThe schedule for Edwin Baker's week in their local time is as follows:\nMonday: Booked at the following times: from 11:03 to 12:03, from 12:08 to 12:48, from 15:02 to 17:32\nTuesday: Booked at the following times: from 10:40 to 11:50, from 12:19 to 12:49, from 13:33 to 14:03, from 14:10 to 16:00, from 17:25 to 17:45\nWednesday: Booked at the following times: from 12:16 to 13:46, from 14:12 to 16:02\nThursday: Booked at the following times: from 10:14 to 11:14, from 12:25 to 13:25, from 14:08 to 15:58\nFriday: Booked at the following times: from 9:15 to 11:35, from 13:28 to 14:28, from 16:31 to 17:01\n\nThe schedule for Alyssa Warren's week in their local time is as follows:\nMonday: Booked at the following times: from 10:11 to 11:11, from 11:38 to 13:38, from 13:53 to 15:43, from 16:23 to 16:53\nTuesday: Free only at the following times: anytime before 9:17, from 12:27 to 14:47, from 15:07 to 15:31, anytime after 17:51\nWednesday: Booked at the following times: from 9:08 to 10:48, from 10:50 to 11:50, from 12:19 to 13:59, from 14:44 to 16:34\nThursday: Booked at the following times: from 10:02 to 10:42, from 10:59 to 13:09, from 13:43 to 14:03, from 16:27 to 17:37\nFriday: Booked at the following times: from 10:46 to 11:56, from 12:11 to 13:11, from 13:28 to 15:48, from 16:11 to 17:31\n\nJohnny Dominguez needs a break for lunch on Thursday from 11:19 to 11:49\nAlyssa Warren is in a timezone that is 2 hours behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Johnny Dominguez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[593, 713], [755, 835], [886, 946]], "Tuesday": [[568, 598], [619, 669], [699, 779], [809, 839], [878, 938], [960, 1010]], "Wednesday": [[551, 591], [627, 697], [706, 816], [867, 887], [893, 963]], "Thursday": [[540, 660], [813, 923], [938, 1028]], "Friday": [[561, 651], [659, 739], [927, 1027]]}, "free_org": {"Monday": [[540, 593], [713, 755], [835, 886], [946, 1080]], "Tuesday": [[540, 568], [598, 619], [669, 699], [779, 809], [839, 878], [938, 960], [1010, 1080]], "Wednesday": [[540, 551], [591, 627], [697, 706], [816, 867], [887, 893], [963, 1080]], "Thursday": [[660, 813], [923, 938], [1028, 1080]], "Friday": [[540, 561], [651, 659], [739, 927], [1027, 1080]]}, "constraint": ["lunch", ["Thursday", [679, 709]]]}, "Edwin Baker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[663, 723], [728, 768], [902, 1052]], "Tuesday": [[640, 710], [739, 769], [813, 843], [850, 960], [1045, 1065]], "Wednesday": [[736, 826], [852, 962]], "Thursday": [[614, 674], [745, 805], [848, 958]], "Friday": [[555, 695], [808, 868], [991, 1021]]}, "free_org": {"Monday": [[540, 663], [723, 728], [768, 902], [1052, 1080]], "Tuesday": [[540, 640], [710, 739], [769, 813], [843, 850], [960, 1045], [1065, 1080]], "Wednesday": [[540, 736], [826, 852], [962, 1080]], "Thursday": [[540, 614], [674, 745], [805, 848], [958, 1080]], "Friday": [[540, 555], [695, 808], [868, 991], [1021, 1080]]}, "constraint": ["none", null]}, "Alyssa Warren": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[611, 671], [698, 818], [833, 943], [983, 1013]], "Tuesday": [[557, 677], [677, 747], [887, 907], [931, 951], [951, 1071]], "Wednesday": [[548, 648], [650, 710], [739, 839], [884, 994]], "Thursday": [[602, 642], [659, 789], [823, 843], [987, 1057]], "Friday": [[646, 716], [731, 791], [808, 948], [971, 1051]]}, "free_org": {"Monday": [[540, 611], [671, 698], [818, 833], [943, 983], [1013, 1080]], "Tuesday": [[540, 557], [747, 887], [907, 931], [1071, 1080]], "Wednesday": [[540, 548], [648, 650], [710, 739], [839, 884], [994, 1080]], "Thursday": [[540, 602], [642, 659], [789, 823], [843, 987], [1057, 1080]], "Friday": [[540, 646], [716, 731], [791, 808], [948, 971], [1051, 1080]]}, "constraint": ["timezone", -2]}}, "solution": {"max_duration": 52, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRyan Scott, Robert White, Jade Aguirre DDS, Shane Smith work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ryan Scott's week in their local time is as follows:\nMonday: Booked at the following times: from 9:28 to 10:08, from 14:03 to 14:23, from 14:25 to 16:35\nTuesday: Booked at the following times: from 9:57 to 10:47, from 11:04 to 12:54, from 13:15 to 13:35, from 14:06 to 14:26, from 15:09 to 15:29, from 16:59 to 17:29\nWednesday: Booked at the following times: from 12:19 to 14:09, from 14:27 to 15:27, from 15:56 to 17:16\nThursday: Booked at the following times: from 9:32 to 10:02, from 10:22 to 11:22, from 11:59 to 12:19, from 12:36 to 14:46\nFriday: Booked at the following times: from 10:14 to 10:54, from 12:40 to 14:20, from 14:58 to 15:18, from 16:44 to 17:34\n\nThe schedule for Robert White's week in their local time is as follows:\nMonday: Booked at the following times: from 9:17 to 11:17, from 11:31 to 12:01, from 14:52 to 15:22, from 16:39 to 17:49\nTuesday: Booked at the following times: from 10:39 to 12:29, from 14:47 to 17:07\nWednesday: Booked at the following times: from 10:32 to 11:02, from 14:23 to 16:43, from 16:59 to 17:19\nThursday: Booked at the following times: from 9:38 to 10:48, from 11:01 to 12:11, from 12:13 to 14:13, from 15:05 to 15:55, from 17:18 to 17:48\nFriday: Free only at the following times: anytime before 9:26, from 10:36 to 10:44, from 11:04 to 11:07, from 11:27 to 11:40, from 12:50 to 13:10, from 13:40 to 14:16, from 14:46 to 16:03, from 16:53 to 17:02, from 17:22 to 17:32, anytime after 17:52\n\nThe schedule for Jade Aguirre DDS's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 12:00, from 12:35 to 13:15, from 13:20 to 15:00, from 15:13 to 16:43, from 17:01 to 17:51\nTuesday: Booked at the following times: from 10:27 to 12:17, from 14:03 to 14:53, from 16:19 to 17:59\nWednesday: Booked at the following times: from 9:01 to 10:21, from 11:17 to 13:47\nThursday: Booked at the following times: from 9:53 to 11:23, from 12:39 to 13:39, from 14:54 to 15:24, from 16:56 to 17:36\nFriday: Booked at the following times: from 10:59 to 12:29, from 14:38 to 16:48\n\nThe schedule for Shane Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 9:27 to 10:27, from 11:28 to 11:58, from 14:09 to 16:09\nTuesday: Booked at the following times: from 9:13 to 10:03, from 11:35 to 12:35, from 13:17 to 15:07, from 15:49 to 17:49\nWednesday: Booked at the following times: from 11:10 to 13:40, from 14:28 to 16:58, from 17:16 to 17:56\nThursday: Booked at the following times: from 10:00 to 11:00, from 12:01 to 13:21, from 14:36 to 15:16, from 15:27 to 15:47, from 15:55 to 17:15\nFriday: Booked at the following times: from 10:38 to 13:08, from 14:58 to 16:58\n\nRyan Scott needs a break for lunch on Monday from 11:21 to 11:51\nRobert White needs a break for lunch on Tuesday from 12:42 to 13:12\nJade Aguirre DDS needs a break for lunch on Friday from 12:31 to 13:01\nShane Smith needs a break for lunch on Thursday from 11:02 to 11:32\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ryan Scott": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[568, 608], [843, 863], [865, 995]], "Tuesday": [[597, 647], [664, 774], [795, 815], [846, 866], [909, 929], [1019, 1049]], "Wednesday": [[739, 849], [867, 927], [956, 1036]], "Thursday": [[572, 602], [622, 682], [719, 739], [756, 886]], "Friday": [[614, 654], [760, 860], [898, 918], [1004, 1054]]}, "free_org": {"Monday": [[540, 568], [608, 843], [863, 865], [995, 1080]], "Tuesday": [[540, 597], [647, 664], [774, 795], [815, 846], [866, 909], [929, 1019], [1049, 1080]], "Wednesday": [[540, 739], [849, 867], [927, 956], [1036, 1080]], "Thursday": [[540, 572], [602, 622], [682, 719], [739, 756], [886, 1080]], "Friday": [[540, 614], [654, 760], [860, 898], [918, 1004], [1054, 1080]]}, "constraint": ["lunch", ["Monday", [681, 711]]]}, "Robert White": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[557, 677], [691, 721], [892, 922], [999, 1069]], "Tuesday": [[639, 749], [887, 1027]], "Wednesday": [[632, 662], [863, 1003], [1019, 1039]], "Thursday": [[578, 648], [661, 731], [733, 853], [905, 955], [1038, 1068]], "Friday": [[566, 596], [596, 636], [644, 664], [667, 687], [700, 770], [790, 820], [856, 886], [963, 1013], [1022, 1042], [1052, 1072]]}, "free_org": {"Monday": [[540, 557], [677, 691], [721, 892], [922, 999], [1069, 1080]], "Tuesday": [[540, 639], [749, 887], [1027, 1080]], "Wednesday": [[540, 632], [662, 863], [1003, 1019], [1039, 1080]], "Thursday": [[540, 578], [648, 661], [731, 733], [853, 905], [955, 1038], [1068, 1080]], "Friday": [[540, 566], [636, 644], [664, 667], [687, 700], [770, 790], [820, 856], [886, 963], [1013, 1022], [1042, 1052], [1072, 1080]]}, "constraint": ["lunch", ["Tuesday", [762, 792]]]}, "Jade Aguirre DDS": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 720], [755, 795], [800, 900], [913, 1003], [1021, 1071]], "Tuesday": [[627, 737], [843, 893], [979, 1079]], "Wednesday": [[541, 621], [677, 827]], "Thursday": [[593, 683], [759, 819], [894, 924], [1016, 1056]], "Friday": [[659, 749], [878, 1008]]}, "free_org": {"Monday": [[540, 610], [720, 755], [795, 800], [900, 913], [1003, 1021], [1071, 1080]], "Tuesday": [[540, 627], [737, 843], [893, 979], [1079, 1080]], "Wednesday": [[540, 541], [621, 677], [827, 1080]], "Thursday": [[540, 593], [683, 759], [819, 894], [924, 1016], [1056, 1080]], "Friday": [[540, 659], [749, 878], [1008, 1080]]}, "constraint": ["lunch", ["Friday", [751, 781]]]}, "Shane Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[567, 627], [688, 718], [849, 969]], "Tuesday": [[553, 603], [695, 755], [797, 907], [949, 1069]], "Wednesday": [[670, 820], [868, 1018], [1036, 1076]], "Thursday": [[600, 660], [721, 801], [876, 916], [927, 947], [955, 1035]], "Friday": [[638, 788], [898, 1018]]}, "free_org": {"Monday": [[540, 567], [627, 688], [718, 849], [969, 1080]], "Tuesday": [[540, 553], [603, 695], [755, 797], [907, 949], [1069, 1080]], "Wednesday": [[540, 670], [820, 868], [1018, 1036], [1076, 1080]], "Thursday": [[540, 600], [660, 721], [801, 876], [916, 927], [947, 955], [1035, 1080]], "Friday": [[540, 638], [788, 898], [1018, 1080]]}, "constraint": ["lunch", ["Thursday", [662, 692]]]}}, "solution": {"max_duration": 34, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nPeter Campos, Corey Alvarez, Darrell Phillips, Cameron Leonard, Nicholas Duran, Michael Sullivan work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Peter Campos's week in their local time is as follows:\nMonday: Booked at the following times: from 9:59 to 10:39, from 10:59 to 11:19, from 11:43 to 12:53, from 13:44 to 15:34, from 15:35 to 16:25, from 16:51 to 17:11\nTuesday: Booked at the following times: from 9:17 to 9:47, from 11:12 to 12:42, from 13:44 to 14:44, from 14:51 to 17:01\nWednesday: Booked at the following times: from 9:06 to 10:36, from 12:06 to 14:16, from 15:13 to 16:33\nThursday: Free only at the following times: anytime before 9:58, from 12:18 to 12:19, from 12:49 to 13:24, from 15:04 to 15:23, from 16:03 to 16:30, from 17:10 to 17:30\nFriday: Booked at the following times: from 9:01 to 11:31, from 11:44 to 12:34, from 15:28 to 17:08\n\nThe schedule for Corey Alvarez's week in their local time is as follows:\nMonday: Booked at the following times: from 11:25 to 12:05, from 12:09 to 12:49, from 13:56 to 15:16, from 15:37 to 17:37\nTuesday: Booked at the following times: from 9:42 to 11:02, from 12:18 to 14:18, from 14:24 to 16:54\nWednesday: Booked at the following times: from 9:31 to 10:11, from 10:32 to 10:52, from 11:23 to 11:43, from 11:56 to 13:56, from 14:08 to 15:08, from 15:14 to 15:54, from 17:28 to 17:48\nThursday: Booked at the following times: from 11:19 to 12:29, from 14:14 to 16:14\nFriday: Free only at the following times: anytime before 9:09, from 9:29 to 9:49, from 10:49 to 11:20, from 11:50 to 14:19, from 16:09 to 16:21, from 16:41 to 17:00\n\nThe schedule for Darrell Phillips's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:17, from 13:27 to 13:40, from 14:40 to 14:56, from 15:16 to 15:20, anytime after 16:40\nTuesday: Booked at the following times: from 10:25 to 11:45, from 12:03 to 12:23, from 12:58 to 13:18, from 13:20 to 14:20, from 14:54 to 16:44\nWednesday: Booked at the following times: from 10:23 to 12:13, from 12:45 to 13:45, from 14:00 to 15:50, from 16:57 to 17:47\nThursday: Booked at the following times: from 9:07 to 11:07, from 14:47 to 16:57\nFriday: Free only at the following times: anytime before 11:39, from 12:29 to 13:50, from 15:30 to 15:38, from 16:38 to 17:10\n\nThe schedule for Cameron Leonard's week in their local time is as follows:\nMonday: Booked at the following times: from 9:52 to 12:12, from 12:35 to 14:55, from 15:19 to 16:39\nTuesday: Booked at the following times: from 9:13 to 11:23, from 13:44 to 16:14, from 17:12 to 17:42\nWednesday: Free only at the following times: anytime before 9:56, from 11:16 to 12:35, from 12:55 to 14:36, anytime after 16:56\nThursday: Booked at the following times: from 10:44 to 11:44, from 12:06 to 14:16, from 15:50 to 16:50\nFriday: Booked at the following times: from 10:00 to 11:20, from 12:29 to 13:19, from 14:13 to 16:13, from 16:37 to 17:27\n\nThe schedule for Nicholas Duran's week in their local time is as follows:\nMonday: Booked at the following times: from 9:04 to 11:24, from 11:35 to 13:25\nTuesday: Booked at the following times: from 9:55 to 11:05, from 12:22 to 12:42, from 13:05 to 15:25, from 15:39 to 16:19\nWednesday: Booked at the following times: from 9:02 to 10:22, from 11:23 to 12:13, from 13:30 to 15:40\nThursday: Booked at the following times: from 10:42 to 13:02, from 13:53 to 14:23, from 15:18 to 17:48\nFriday: Booked at the following times: from 9:16 to 9:46, from 9:51 to 11:31, from 11:59 to 12:19, from 12:53 to 15:23\n\nThe schedule for Michael Sullivan's week in their local time is as follows:\nMonday: Booked at the following times: from 9:27 to 11:17, from 14:35 to 16:25\nTuesday: Booked at the following times: from 11:07 to 12:47, from 13:10 to 15:00\nWednesday: Free only at the following times: from 11:30 to 12:28, from 12:48 to 13:41, from 15:41 to 15:57, anytime after 16:57\nThursday: Booked at the following times: from 11:43 to 14:03, from 14:30 to 16:20, from 16:38 to 17:58\nFriday: Booked at the following times: from 9:24 to 10:54, from 11:31 to 11:51, from 13:45 to 14:15, from 14:51 to 16:51\n\nPeter Campos needs a break for lunch on Tuesday from 12:59 to 13:29\nCorey Alvarez is in a timezone that is 1 hour ahead of other participants\nDarrell Phillips can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nCameron Leonard is in a timezone that is 1 hour ahead of other participants\nNicholas Duran needs a break for lunch on Tuesday from 11:23 to 11:53\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Peter Campos": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[599, 639], [659, 679], [703, 773], [824, 934], [935, 985], [1011, 1031]], "Tuesday": [[557, 587], [672, 762], [824, 884], [891, 1021]], "Wednesday": [[546, 636], [726, 856], [913, 993]], "Thursday": [[598, 738], [739, 769], [804, 904], [923, 963], [990, 1030], [1050, 1080]], "Friday": [[541, 691], [704, 754], [928, 1028]]}, "free_org": {"Monday": [[540, 599], [639, 659], [679, 703], [773, 824], [934, 935], [985, 1011], [1031, 1080]], "Tuesday": [[540, 557], [587, 672], [762, 824], [884, 891], [1021, 1080]], "Wednesday": [[540, 546], [636, 726], [856, 913], [993, 1080]], "Thursday": [[540, 598], [738, 739], [769, 804], [904, 923], [963, 990], [1030, 1050]], "Friday": [[540, 541], [691, 704], [754, 928], [1028, 1080]]}, "constraint": ["lunch", ["Tuesday", [779, 809]]]}, "Corey Alvarez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[685, 725], [729, 769], [836, 916], [937, 1057]], "Tuesday": [[582, 662], [738, 858], [864, 1014]], "Wednesday": [[571, 611], [632, 652], [683, 703], [716, 836], [848, 908], [914, 954], [1048, 1068]], "Thursday": [[679, 749], [854, 974]], "Friday": [[549, 569], [589, 649], [680, 710], [859, 969], [981, 1001], [1020, 1080]]}, "free_org": {"Monday": [[540, 685], [725, 729], [769, 836], [916, 937], [1057, 1080]], "Tuesday": [[540, 582], [662, 738], [858, 864], [1014, 1080]], "Wednesday": [[540, 571], [611, 632], [652, 683], [703, 716], [836, 848], [908, 914], [954, 1048], [1068, 1080]], "Thursday": [[540, 679], [749, 854], [974, 1080]], "Friday": [[540, 549], [569, 589], [649, 680], [710, 859], [969, 981], [1001, 1020]]}, "constraint": ["timezone", 1]}, "Darrell Phillips": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[617, 757], [757, 807], [820, 880], [896, 916], [920, 1000]], "Tuesday": [[625, 705], [723, 743], [778, 798], [800, 860], [894, 1004]], "Wednesday": [[623, 733], [765, 825], [840, 950], [1017, 1067]], "Thursday": [[547, 667], [887, 1017]], "Friday": [[699, 749], [830, 930], [938, 998], [1030, 1080]]}, "free_org": {"Monday": [[540, 617], [807, 820], [880, 896], [916, 920], [1000, 1080]], "Tuesday": [[540, 625], [705, 723], [743, 778], [798, 800], [860, 894], [1004, 1080]], "Wednesday": [[540, 623], [733, 765], [825, 840], [950, 1017], [1067, 1080]], "Thursday": [[540, 547], [667, 887], [1017, 1080]], "Friday": [[540, 699], [749, 830], [930, 938], [998, 1030]]}, "constraint": ["conflict", 40]}, "Cameron Leonard": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[592, 732], [755, 895], [919, 999]], "Tuesday": [[553, 683], [824, 974], [1032, 1062]], "Wednesday": [[596, 676], [755, 775], [876, 956], [956, 1016]], "Thursday": [[644, 704], [726, 856], [950, 1010]], "Friday": [[600, 680], [749, 799], [853, 973], [997, 1047]]}, "free_org": {"Monday": [[540, 592], [732, 755], [895, 919], [999, 1080]], "Tuesday": [[540, 553], [683, 824], [974, 1032], [1062, 1080]], "Wednesday": [[540, 596], [676, 755], [775, 876], [1016, 1080]], "Thursday": [[540, 644], [704, 726], [856, 950], [1010, 1080]], "Friday": [[540, 600], [680, 749], [799, 853], [973, 997], [1047, 1080]]}, "constraint": ["timezone", 1]}, "Nicholas Duran": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[544, 684], [695, 805]], "Tuesday": [[595, 665], [742, 762], [785, 925], [939, 979]], "Wednesday": [[542, 622], [683, 733], [810, 940]], "Thursday": [[642, 782], [833, 863], [918, 1068]], "Friday": [[556, 586], [591, 691], [719, 739], [773, 923]]}, "free_org": {"Monday": [[540, 544], [684, 695], [805, 1080]], "Tuesday": [[540, 595], [665, 742], [762, 785], [925, 939], [979, 1080]], "Wednesday": [[540, 542], [622, 683], [733, 810], [940, 1080]], "Thursday": [[540, 642], [782, 833], [863, 918], [1068, 1080]], "Friday": [[540, 556], [586, 591], [691, 719], [739, 773], [923, 1080]]}, "constraint": ["lunch", ["Tuesday", [683, 713]]]}, "Michael Sullivan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[567, 677], [875, 985]], "Tuesday": [[667, 767], [790, 900]], "Wednesday": [[540, 690], [748, 768], [821, 941], [957, 1017]], "Thursday": [[703, 843], [870, 980], [998, 1078]], "Friday": [[564, 654], [691, 711], [825, 855], [891, 1011]]}, "free_org": {"Monday": [[540, 567], [677, 875], [985, 1080]], "Tuesday": [[540, 667], [767, 790], [900, 1080]], "Wednesday": [[690, 748], [768, 821], [941, 957], [1017, 1080]], "Thursday": [[540, 703], [843, 870], [980, 998], [1078, 1080]], "Friday": [[540, 564], [654, 691], [711, 825], [855, 891], [1011, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 19, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJohnny Wilson, Aaron Terrell, Alyssa Wells, Kevin Brown, Kimberly Malone work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Johnny Wilson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:20 to 11:10, from 11:35 to 12:25, from 13:26 to 14:46, from 15:20 to 16:20, from 16:23 to 17:43\nTuesday: Booked at the following times: from 12:56 to 14:26, from 15:35 to 17:25\nWednesday: Booked at the following times: from 9:13 to 10:13, from 12:04 to 12:44, from 15:11 to 15:31, from 16:24 to 17:54\nThursday: Free only at the following times: anytime before 9:04, from 10:54 to 11:24, from 11:44 to 12:10, from 12:40 to 13:41, from 14:31 to 15:25, from 15:55 to 16:25, from 16:45 to 17:30\nFriday: Booked at the following times: from 10:02 to 10:52, from 10:59 to 13:19, from 13:40 to 15:00, from 15:48 to 16:58\n\nThe schedule for Aaron Terrell's week in their local time is as follows:\nMonday: Booked at the following times: from 9:10 to 10:30, from 12:54 to 13:44, from 14:01 to 16:21\nTuesday: Booked at the following times: from 9:22 to 10:42, from 12:30 to 14:30\nWednesday: Booked at the following times: from 10:16 to 11:26, from 11:32 to 13:32, from 13:54 to 16:04\nThursday: Booked at the following times: from 9:33 to 10:33, from 11:10 to 12:00, from 13:56 to 14:46, from 15:51 to 16:51\nFriday: Booked at the following times: from 10:26 to 11:26, from 12:45 to 14:25, from 14:35 to 16:05\n\nThe schedule for Alyssa Wells's week in their local time is as follows:\nMonday: Booked at the following times: from 10:49 to 13:19, from 13:46 to 16:06\nTuesday: Booked at the following times: from 10:33 to 12:03, from 12:07 to 14:07, from 14:09 to 15:39, from 16:17 to 16:47\nWednesday: Booked at the following times: from 10:04 to 10:44, from 10:54 to 13:24, from 13:40 to 14:20, from 14:25 to 15:15\nThursday: Booked at the following times: from 11:03 to 12:03, from 13:00 to 14:10, from 16:58 to 17:58\nFriday: Booked at the following times: from 9:41 to 12:01, from 12:25 to 14:05, from 14:08 to 14:48, from 16:25 to 16:55\n\nThe schedule for Kevin Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 11:36 to 12:06, from 12:47 to 14:37, from 15:01 to 16:21, from 16:44 to 17:24\nTuesday: Booked at the following times: from 9:03 to 9:53, from 10:06 to 11:46, from 11:54 to 13:04, from 13:56 to 16:06\nWednesday: Booked at the following times: from 11:40 to 12:40, from 13:41 to 15:11, from 15:39 to 16:39\nThursday: Booked at the following times: from 10:11 to 11:51, from 12:18 to 12:48, from 13:25 to 14:15, from 14:19 to 15:09\nFriday: Booked at the following times: from 9:03 to 10:33, from 12:52 to 14:12, from 15:47 to 17:17\n\nThe schedule for Kimberly Malone's week in their local time is as follows:\nMonday: Booked at the following times: from 10:57 to 13:27, from 14:05 to 16:35\nTuesday: Free only at the following times: from 11:10 to 11:41, from 12:21 to 13:23, from 13:53 to 14:05, from 14:25 to 14:26, from 15:46 to 15:48, anytime after 16:28\nWednesday: Booked at the following times: from 10:09 to 10:49, from 12:43 to 15:13, from 15:49 to 16:49, from 17:22 to 17:52\nThursday: Booked at the following times: from 10:04 to 10:54, from 11:08 to 12:18, from 12:54 to 14:34, from 15:51 to 16:21, from 16:24 to 16:44, from 16:54 to 17:44\nFriday: Booked at the following times: from 9:12 to 10:32, from 11:02 to 13:22, from 15:11 to 16:51\n\nJohnny Wilson can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nAlyssa Wells is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Johnny Wilson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[620, 670], [695, 745], [806, 886], [920, 980], [983, 1063]], "Tuesday": [[776, 866], [935, 1045]], "Wednesday": [[553, 613], [724, 764], [911, 931], [984, 1074]], "Thursday": [[544, 654], [684, 704], [730, 760], [821, 871], [925, 955], [985, 1005], [1050, 1080]], "Friday": [[602, 652], [659, 799], [820, 900], [948, 1018]]}, "free_org": {"Monday": [[540, 620], [670, 695], [745, 806], [886, 920], [980, 983], [1063, 1080]], "Tuesday": [[540, 776], [866, 935], [1045, 1080]], "Wednesday": [[540, 553], [613, 724], [764, 911], [931, 984], [1074, 1080]], "Thursday": [[540, 544], [654, 684], [704, 730], [760, 821], [871, 925], [955, 985], [1005, 1050]], "Friday": [[540, 602], [652, 659], [799, 820], [900, 948], [1018, 1080]]}, "constraint": ["conflict", 40]}, "Aaron Terrell": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[550, 630], [774, 824], [841, 981]], "Tuesday": [[562, 642], [750, 870]], "Wednesday": [[616, 686], [692, 812], [834, 964]], "Thursday": [[573, 633], [670, 720], [836, 886], [951, 1011]], "Friday": [[626, 686], [765, 865], [875, 965]]}, "free_org": {"Monday": [[540, 550], [630, 774], [824, 841], [981, 1080]], "Tuesday": [[540, 562], [642, 750], [870, 1080]], "Wednesday": [[540, 616], [686, 692], [812, 834], [964, 1080]], "Thursday": [[540, 573], [633, 670], [720, 836], [886, 951], [1011, 1080]], "Friday": [[540, 626], [686, 765], [865, 875], [965, 1080]]}, "constraint": ["none", null]}, "Alyssa Wells": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[649, 799], [826, 966]], "Tuesday": [[633, 723], [727, 847], [849, 939], [977, 1007]], "Wednesday": [[604, 644], [654, 804], [820, 860], [865, 915]], "Thursday": [[663, 723], [780, 850], [1018, 1078]], "Friday": [[581, 721], [745, 845], [848, 888], [985, 1015]]}, "free_org": {"Monday": [[540, 649], [799, 826], [966, 1080]], "Tuesday": [[540, 633], [723, 727], [847, 849], [939, 977], [1007, 1080]], "Wednesday": [[540, 604], [644, 654], [804, 820], [860, 865], [915, 1080]], "Thursday": [[540, 663], [723, 780], [850, 1018], [1078, 1080]], "Friday": [[540, 581], [721, 745], [845, 848], [888, 985], [1015, 1080]]}, "constraint": ["timezone", -1]}, "Kevin Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[696, 726], [767, 877], [901, 981], [1004, 1044]], "Tuesday": [[543, 593], [606, 706], [714, 784], [836, 966]], "Wednesday": [[700, 760], [821, 911], [939, 999]], "Thursday": [[611, 711], [738, 768], [805, 855], [859, 909]], "Friday": [[543, 633], [772, 852], [947, 1037]]}, "free_org": {"Monday": [[540, 696], [726, 767], [877, 901], [981, 1004], [1044, 1080]], "Tuesday": [[540, 543], [593, 606], [706, 714], [784, 836], [966, 1080]], "Wednesday": [[540, 700], [760, 821], [911, 939], [999, 1080]], "Thursday": [[540, 611], [711, 738], [768, 805], [855, 859], [909, 1080]], "Friday": [[540, 543], [633, 772], [852, 947], [1037, 1080]]}, "constraint": ["none", null]}, "Kimberly Malone": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[657, 807], [845, 995]], "Tuesday": [[540, 670], [701, 741], [803, 833], [845, 865], [866, 946], [948, 988]], "Wednesday": [[609, 649], [763, 913], [949, 1009], [1042, 1072]], "Thursday": [[604, 654], [668, 738], [774, 874], [951, 981], [984, 1004], [1014, 1064]], "Friday": [[552, 632], [662, 802], [911, 1011]]}, "free_org": {"Monday": [[540, 657], [807, 845], [995, 1080]], "Tuesday": [[670, 701], [741, 803], [833, 845], [865, 866], [946, 948], [988, 1080]], "Wednesday": [[540, 609], [649, 763], [913, 949], [1009, 1042], [1072, 1080]], "Thursday": [[540, 604], [654, 668], [738, 774], [874, 951], [981, 984], [1004, 1014], [1064, 1080]], "Friday": [[540, 552], [632, 662], [802, 911], [1011, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 41, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJoel Ward, Kyle Taylor, Brianna Gonzalez, Megan Oneill, Ronald Lee, Mary Jackson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Joel Ward's week in their local time is as follows:\nMonday: Booked at the following times: from 9:40 to 10:30, from 12:01 to 13:11, from 13:38 to 14:48, from 15:39 to 16:09, from 16:17 to 17:57\nTuesday: Booked at the following times: from 9:05 to 9:35, from 10:24 to 12:04, from 13:09 to 14:29, from 15:18 to 16:08\nWednesday: Booked at the following times: from 9:10 to 11:20, from 13:21 to 15:01, from 16:49 to 17:39\nThursday: Booked at the following times: from 10:04 to 12:04, from 14:04 to 14:34, from 14:44 to 16:54\nFriday: Booked at the following times: from 10:01 to 11:11, from 12:57 to 14:47, from 15:01 to 16:51\n\nThe schedule for Kyle Taylor's week in their local time is as follows:\nMonday: Booked at the following times: from 9:51 to 11:11, from 13:20 to 15:30, from 16:50 to 17:50\nTuesday: Booked at the following times: from 11:25 to 12:25, from 12:26 to 13:26, from 15:14 to 15:34, from 16:06 to 17:06\nWednesday: Booked at the following times: from 10:41 to 11:51, from 13:25 to 14:25, from 14:48 to 17:18\nThursday: Booked at the following times: from 11:56 to 12:46, from 13:26 to 15:46, from 16:14 to 17:54\nFriday: Booked at the following times: from 10:01 to 11:41, from 12:06 to 13:46, from 14:26 to 15:36, from 16:23 to 17:03\n\nThe schedule for Brianna Gonzalez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:59 to 11:59, from 13:11 to 13:31, from 13:41 to 14:31, from 15:22 to 15:42, from 16:06 to 17:16\nTuesday: Booked at the following times: from 9:58 to 12:08, from 12:53 to 13:53, from 15:38 to 16:48\nWednesday: Booked at the following times: from 9:33 to 12:03, from 12:54 to 13:14, from 14:04 to 14:24, from 14:48 to 15:38, from 15:46 to 16:26, from 16:35 to 17:45\nThursday: Booked at the following times: from 10:12 to 11:22, from 12:25 to 14:15, from 14:16 to 15:16, from 16:17 to 17:07\nFriday: Booked at the following times: from 10:31 to 10:51, from 11:58 to 14:18, from 14:57 to 15:27, from 15:56 to 16:26\n\nThe schedule for Megan Oneill's week in their local time is as follows:\nMonday: Free only at the following times: from 10:30 to 11:33, from 12:23 to 13:35, from 14:25 to 15:15, from 15:35 to 16:04, anytime after 16:54\nTuesday: Booked at the following times: from 10:47 to 12:47, from 13:43 to 15:53\nWednesday: Booked at the following times: from 10:40 to 12:50, from 13:24 to 15:54, from 16:09 to 17:49\nThursday: Free only at the following times: from 10:00 to 10:43, from 12:13 to 12:19, from 12:59 to 13:45, from 14:25 to 15:58, anytime after 17:08\nFriday: Booked at the following times: from 9:50 to 11:00, from 11:07 to 13:27, from 15:07 to 15:27\n\nThe schedule for Ronald Lee's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 10:26, from 10:28 to 11:38, from 11:49 to 13:49, from 14:20 to 15:00, from 16:39 to 17:29\nTuesday: Booked at the following times: from 10:05 to 10:55, from 11:37 to 12:37, from 12:56 to 13:56, from 14:12 to 15:22, from 16:38 to 17:18\nWednesday: Booked at the following times: from 9:43 to 11:03, from 12:09 to 13:49, from 14:26 to 15:46, from 15:50 to 16:10\nThursday: Booked at the following times: from 9:41 to 10:41, from 11:19 to 13:09, from 14:09 to 15:09, from 16:05 to 17:15\nFriday: Booked at the following times: from 10:06 to 10:26, from 12:26 to 14:26, from 15:49 to 16:49\n\nThe schedule for Mary Jackson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:20 to 12:50, from 13:53 to 14:23, from 14:52 to 16:52\nTuesday: Booked at the following times: from 9:06 to 9:46, from 11:03 to 12:03, from 12:25 to 14:35, from 15:51 to 16:41\nWednesday: Booked at the following times: from 9:10 to 11:20, from 11:46 to 12:06, from 12:44 to 13:44, from 15:37 to 16:27, from 17:06 to 17:46\nThursday: Booked at the following times: from 9:55 to 10:45, from 11:23 to 13:33, from 15:10 to 15:40\nFriday: Free only at the following times: anytime before 10:20, from 12:10 to 12:51, from 14:51 to 15:11, from 15:51 to 16:56, anytime after 17:56\n\nJoel Ward requires 5 minutes free before and after the meeting\nKyle Taylor requires 15 minutes free before and after the meeting\nBrianna Gonzalez needs a break for lunch on Friday from 11:06 to 11:36\nMegan Oneill needs a break for lunch on Thursday from 13:00 to 13:30\nRonald Lee needs a break for lunch on Wednesday from 11:28 to 11:58\nMary Jackson needs a break for lunch on Friday from 12:16 to 12:46\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Joel Ward": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[580, 630], [721, 791], [818, 888], [939, 969], [977, 1077]], "Tuesday": [[545, 575], [624, 724], [789, 869], [918, 968]], "Wednesday": [[550, 680], [801, 901], [1009, 1059]], "Thursday": [[604, 724], [844, 874], [884, 1014]], "Friday": [[601, 671], [777, 887], [901, 1011]]}, "free_org": {"Monday": [[540, 580], [630, 721], [791, 818], [888, 939], [969, 977], [1077, 1080]], "Tuesday": [[540, 545], [575, 624], [724, 789], [869, 918], [968, 1080]], "Wednesday": [[540, 550], [680, 801], [901, 1009], [1059, 1080]], "Thursday": [[540, 604], [724, 844], [874, 884], [1014, 1080]], "Friday": [[540, 601], [671, 777], [887, 901], [1011, 1080]]}, "constraint": ["buffer", 5]}, "Kyle Taylor": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[591, 671], [800, 930], [1010, 1070]], "Tuesday": [[685, 745], [746, 806], [914, 934], [966, 1026]], "Wednesday": [[641, 711], [805, 865], [888, 1038]], "Thursday": [[716, 766], [806, 946], [974, 1074]], "Friday": [[601, 701], [726, 826], [866, 936], [983, 1023]]}, "free_org": {"Monday": [[540, 591], [671, 800], [930, 1010], [1070, 1080]], "Tuesday": [[540, 685], [745, 746], [806, 914], [934, 966], [1026, 1080]], "Wednesday": [[540, 641], [711, 805], [865, 888], [1038, 1080]], "Thursday": [[540, 716], [766, 806], [946, 974], [1074, 1080]], "Friday": [[540, 601], [701, 726], [826, 866], [936, 983], [1023, 1080]]}, "constraint": ["buffer", 15]}, "Brianna Gonzalez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[599, 719], [791, 811], [821, 871], [922, 942], [966, 1036]], "Tuesday": [[598, 728], [773, 833], [938, 1008]], "Wednesday": [[573, 723], [774, 794], [844, 864], [888, 938], [946, 986], [995, 1065]], "Thursday": [[612, 682], [745, 855], [856, 916], [977, 1027]], "Friday": [[631, 651], [718, 858], [897, 927], [956, 986]]}, "free_org": {"Monday": [[540, 599], [719, 791], [811, 821], [871, 922], [942, 966], [1036, 1080]], "Tuesday": [[540, 598], [728, 773], [833, 938], [1008, 1080]], "Wednesday": [[540, 573], [723, 774], [794, 844], [864, 888], [938, 946], [986, 995], [1065, 1080]], "Thursday": [[540, 612], [682, 745], [855, 856], [916, 977], [1027, 1080]], "Friday": [[540, 631], [651, 718], [858, 897], [927, 956], [986, 1080]]}, "constraint": ["lunch", ["Friday", [666, 696]]]}, "Megan Oneill": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 630], [693, 743], [815, 865], [915, 935], [964, 1014]], "Tuesday": [[647, 767], [823, 953]], "Wednesday": [[640, 770], [804, 954], [969, 1069]], "Thursday": [[540, 600], [643, 733], [739, 779], [825, 865], [958, 1028]], "Friday": [[590, 660], [667, 807], [907, 927]]}, "free_org": {"Monday": [[630, 693], [743, 815], [865, 915], [935, 964], [1014, 1080]], "Tuesday": [[540, 647], [767, 823], [953, 1080]], "Wednesday": [[540, 640], [770, 804], [954, 969], [1069, 1080]], "Thursday": [[600, 643], [733, 739], [779, 825], [865, 958], [1028, 1080]], "Friday": [[540, 590], [660, 667], [807, 907], [927, 1080]]}, "constraint": ["lunch", ["Thursday", [780, 810]]]}, "Ronald Lee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 626], [628, 698], [709, 829], [860, 900], [999, 1049]], "Tuesday": [[605, 655], [697, 757], [776, 836], [852, 922], [998, 1038]], "Wednesday": [[583, 663], [729, 829], [866, 946], [950, 970]], "Thursday": [[581, 641], [679, 789], [849, 909], [965, 1035]], "Friday": [[606, 626], [746, 866], [949, 1009]]}, "free_org": {"Monday": [[540, 576], [626, 628], [698, 709], [829, 860], [900, 999], [1049, 1080]], "Tuesday": [[540, 605], [655, 697], [757, 776], [836, 852], [922, 998], [1038, 1080]], "Wednesday": [[540, 583], [663, 729], [829, 866], [946, 950], [970, 1080]], "Thursday": [[540, 581], [641, 679], [789, 849], [909, 965], [1035, 1080]], "Friday": [[540, 606], [626, 746], [866, 949], [1009, 1080]]}, "constraint": ["lunch", ["Wednesday", [688, 718]]]}, "Mary Jackson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[620, 770], [833, 863], [892, 1012]], "Tuesday": [[546, 586], [663, 723], [745, 875], [951, 1001]], "Wednesday": [[550, 680], [706, 726], [764, 824], [937, 987], [1026, 1066]], "Thursday": [[595, 645], [683, 813], [910, 940]], "Friday": [[620, 680], [680, 730], [771, 891], [911, 951], [1016, 1076]]}, "free_org": {"Monday": [[540, 620], [770, 833], [863, 892], [1012, 1080]], "Tuesday": [[540, 546], [586, 663], [723, 745], [875, 951], [1001, 1080]], "Wednesday": [[540, 550], [680, 706], [726, 764], [824, 937], [987, 1026], [1066, 1080]], "Thursday": [[540, 595], [645, 683], [813, 910], [940, 1080]], "Friday": [[540, 620], [730, 771], [891, 911], [951, 1016], [1076, 1080]]}, "constraint": ["lunch", ["Friday", [736, 766]]]}}, "solution": {"max_duration": 31, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJasmin Johnson, Jorge Chaney, Keith Harris work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Jasmin Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:39 to 11:19, from 12:29 to 14:19, from 15:50 to 17:00\nTuesday: Booked at the following times: from 9:21 to 10:11, from 11:51 to 12:21, from 13:10 to 15:30\nWednesday: Booked at the following times: from 9:52 to 11:12, from 11:28 to 11:58, from 15:43 to 17:43\nThursday: Booked at the following times: from 9:12 to 11:22, from 12:20 to 14:10, from 14:37 to 14:57, from 15:34 to 16:34\nFriday: Booked at the following times: from 9:35 to 10:15, from 11:19 to 13:29, from 15:05 to 15:25, from 15:50 to 17:10\n\nThe schedule for Jorge Chaney's week in their local time is as follows:\nMonday: Booked at the following times: from 10:19 to 12:09, from 13:02 to 14:12, from 14:39 to 16:49\nTuesday: Booked at the following times: from 10:05 to 11:25, from 11:56 to 12:46, from 12:50 to 13:10, from 14:47 to 15:07, from 15:25 to 17:15, from 17:21 to 17:41\nWednesday: Booked at the following times: from 11:57 to 12:27, from 12:58 to 14:48, from 14:58 to 16:58\nThursday: Booked at the following times: from 9:56 to 10:36, from 10:50 to 13:20, from 13:35 to 15:15, from 15:59 to 16:29\nFriday: Free only at the following times: anytime before 9:31, from 11:01 to 11:37, from 13:17 to 14:08, from 14:58 to 15:25, from 16:05 to 16:51, anytime after 17:21\n\nThe schedule for Keith Harris's week in their local time is as follows:\nMonday: Booked at the following times: from 9:56 to 10:36, from 11:42 to 13:42, from 15:43 to 16:13\nTuesday: Booked at the following times: from 10:15 to 12:35, from 12:46 to 14:26, from 15:03 to 17:13, from 17:20 to 17:50\nWednesday: Booked at the following times: from 12:21 to 14:41, from 15:09 to 17:39\nThursday: Booked at the following times: from 10:37 to 12:37, from 16:07 to 17:47\nFriday: Booked at the following times: from 9:03 to 10:53, from 11:53 to 13:13, from 14:00 to 14:50, from 14:54 to 17:04\n\nJasmin Johnson can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJorge Chaney requires 15 minutes free before and after the meeting\nKeith Harris requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Jasmin Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[579, 679], [749, 859], [950, 1020]], "Tuesday": [[561, 611], [711, 741], [790, 930]], "Wednesday": [[592, 672], [688, 718], [943, 1063]], "Thursday": [[552, 682], [740, 850], [877, 897], [934, 994]], "Friday": [[575, 615], [679, 809], [905, 925], [950, 1030]]}, "free_org": {"Monday": [[540, 579], [679, 749], [859, 950], [1020, 1080]], "Tuesday": [[540, 561], [611, 711], [741, 790], [930, 1080]], "Wednesday": [[540, 592], [672, 688], [718, 943], [1063, 1080]], "Thursday": [[540, 552], [682, 740], [850, 877], [897, 934], [994, 1080]], "Friday": [[540, 575], [615, 679], [809, 905], [925, 950], [1030, 1080]]}, "constraint": ["conflict", 20]}, "Jorge Chaney": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[619, 729], [782, 852], [879, 1009]], "Tuesday": [[605, 685], [716, 766], [770, 790], [887, 907], [925, 1035], [1041, 1061]], "Wednesday": [[717, 747], [778, 888], [898, 1018]], "Thursday": [[596, 636], [650, 800], [815, 915], [959, 989]], "Friday": [[571, 661], [697, 797], [848, 868], [868, 898], [925, 965], [1011, 1041]]}, "free_org": {"Monday": [[540, 619], [729, 782], [852, 879], [1009, 1080]], "Tuesday": [[540, 605], [685, 716], [766, 770], [790, 887], [907, 925], [1035, 1041], [1061, 1080]], "Wednesday": [[540, 717], [747, 778], [888, 898], [1018, 1080]], "Thursday": [[540, 596], [636, 650], [800, 815], [915, 959], [989, 1080]], "Friday": [[540, 571], [661, 697], [797, 848], [898, 925], [965, 1011], [1041, 1080]]}, "constraint": ["buffer", 15]}, "Keith Harris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[596, 636], [702, 822], [943, 973]], "Tuesday": [[615, 755], [766, 866], [903, 1033], [1040, 1070]], "Wednesday": [[741, 881], [909, 1059]], "Thursday": [[637, 757], [967, 1067]], "Friday": [[543, 653], [713, 793], [840, 890], [894, 1024]]}, "free_org": {"Monday": [[540, 596], [636, 702], [822, 943], [973, 1080]], "Tuesday": [[540, 615], [755, 766], [866, 903], [1033, 1040], [1070, 1080]], "Wednesday": [[540, 741], [881, 909], [1059, 1080]], "Thursday": [[540, 637], [757, 967], [1067, 1080]], "Friday": [[540, 543], [653, 713], [793, 840], [890, 894], [1024, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 41, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nWilliam James, Diane Mayer, Paul Flores work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for William James's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 11:40, from 13:06 to 13:26, from 14:03 to 16:13\nTuesday: Booked at the following times: from 11:20 to 12:10, from 12:59 to 14:29, from 15:00 to 17:30\nWednesday: Booked at the following times: from 11:11 to 13:31, from 13:35 to 13:55, from 14:19 to 15:19, from 16:01 to 17:31\nThursday: Booked at the following times: from 9:02 to 11:22, from 15:34 to 17:54\nFriday: Booked at the following times: from 9:51 to 12:21, from 12:23 to 13:43, from 14:42 to 16:02\n\nThe schedule for Diane Mayer's week in their local time is as follows:\nMonday: Booked at the following times: from 11:18 to 13:08, from 13:16 to 13:46, from 14:11 to 16:11, from 16:20 to 17:30\nTuesday: Booked at the following times: from 11:19 to 12:29, from 13:23 to 15:03, from 15:40 to 17:40\nWednesday: Booked at the following times: from 10:27 to 11:47, from 14:19 to 15:19, from 15:24 to 16:34\nThursday: Booked at the following times: from 9:11 to 11:31, from 14:51 to 17:11\nFriday: Booked at the following times: from 9:40 to 11:20, from 11:44 to 13:54, from 14:45 to 15:15, from 15:34 to 17:14\n\nThe schedule for Paul Flores's week in their local time is as follows:\nMonday: Booked at the following times: from 9:52 to 11:52, from 12:52 to 13:22, from 13:26 to 13:56, from 14:22 to 16:42\nTuesday: Booked at the following times: from 9:20 to 9:50, from 10:40 to 11:00, from 11:20 to 11:50, from 12:30 to 13:50, from 14:03 to 14:23, from 14:30 to 14:50, from 15:56 to 17:46\nWednesday: Booked at the following times: from 9:08 to 9:48, from 10:11 to 12:21, from 13:52 to 14:12, from 14:14 to 14:44, from 15:54 to 17:24\nThursday: Booked at the following times: from 9:08 to 10:08, from 10:22 to 12:12, from 12:31 to 14:41\nFriday: Booked at the following times: from 10:08 to 11:28, from 12:15 to 14:25, from 14:35 to 16:35\n\nWilliam James needs a break for lunch on Tuesday from 12:23 to 12:53\nDiane Mayer is in a timezone that is 2 hours ahead of other participants\nPaul Flores needs a break for lunch on Monday from 11:52 to 12:22\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"William James": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 700], [786, 806], [843, 973]], "Tuesday": [[680, 730], [779, 869], [900, 1050]], "Wednesday": [[671, 811], [815, 835], [859, 919], [961, 1051]], "Thursday": [[542, 682], [934, 1074]], "Friday": [[591, 741], [743, 823], [882, 962]]}, "free_org": {"Monday": [[540, 610], [700, 786], [806, 843], [973, 1080]], "Tuesday": [[540, 680], [730, 779], [869, 900], [1050, 1080]], "Wednesday": [[540, 671], [811, 815], [835, 859], [919, 961], [1051, 1080]], "Thursday": [[540, 542], [682, 934], [1074, 1080]], "Friday": [[540, 591], [741, 743], [823, 882], [962, 1080]]}, "constraint": ["lunch", ["Tuesday", [743, 773]]]}, "Diane Mayer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[678, 788], [796, 826], [851, 971], [980, 1050]], "Tuesday": [[679, 749], [803, 903], [940, 1060]], "Wednesday": [[627, 707], [859, 919], [924, 994]], "Thursday": [[551, 691], [891, 1031]], "Friday": [[580, 680], [704, 834], [885, 915], [934, 1034]]}, "free_org": {"Monday": [[540, 678], [788, 796], [826, 851], [971, 980], [1050, 1080]], "Tuesday": [[540, 679], [749, 803], [903, 940], [1060, 1080]], "Wednesday": [[540, 627], [707, 859], [919, 924], [994, 1080]], "Thursday": [[540, 551], [691, 891], [1031, 1080]], "Friday": [[540, 580], [680, 704], [834, 885], [915, 934], [1034, 1080]]}, "constraint": ["timezone", 2]}, "Paul Flores": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[592, 712], [772, 802], [806, 836], [862, 1002]], "Tuesday": [[560, 590], [640, 660], [680, 710], [750, 830], [843, 863], [870, 890], [956, 1066]], "Wednesday": [[548, 588], [611, 741], [832, 852], [854, 884], [954, 1044]], "Thursday": [[548, 608], [622, 732], [751, 881]], "Friday": [[608, 688], [735, 865], [875, 995]]}, "free_org": {"Monday": [[540, 592], [712, 772], [802, 806], [836, 862], [1002, 1080]], "Tuesday": [[540, 560], [590, 640], [660, 680], [710, 750], [830, 843], [863, 870], [890, 956], [1066, 1080]], "Wednesday": [[540, 548], [588, 611], [741, 832], [852, 854], [884, 954], [1044, 1080]], "Thursday": [[540, 548], [608, 622], [732, 751], [881, 1080]], "Friday": [[540, 608], [688, 735], [865, 875], [995, 1080]]}, "constraint": ["lunch", ["Monday", [712, 742]]]}}, "solution": {"max_duration": 35, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRaymond Davis, Jason Hudson, Shannon Garcia work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Raymond Davis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:32 to 9:52, from 11:03 to 13:33, from 15:04 to 16:34\nTuesday: Free only at the following times: anytime before 9:31, from 10:01 to 10:23, from 11:13 to 12:19, from 13:39 to 14:15, from 14:55 to 15:11, from 15:41 to 15:55, anytime after 17:35\nWednesday: Booked at the following times: from 11:55 to 13:25, from 15:08 to 17:38\nThursday: Booked at the following times: from 11:36 to 14:06, from 14:08 to 15:08, from 15:28 to 16:48, from 17:05 to 17:55\nFriday: Booked at the following times: from 9:01 to 10:41, from 11:04 to 11:24, from 13:15 to 14:45, from 14:46 to 17:06, from 17:07 to 17:47\n\nThe schedule for Jason Hudson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:07 to 11:27, from 11:28 to 11:48, from 12:42 to 14:42, from 16:22 to 16:42\nTuesday: Booked at the following times: from 9:06 to 11:36, from 12:09 to 14:39, from 14:49 to 17:09\nWednesday: Booked at the following times: from 10:48 to 12:48, from 13:47 to 14:47, from 17:11 to 17:51\nThursday: Booked at the following times: from 9:06 to 9:56, from 10:40 to 11:50, from 11:51 to 13:51, from 14:09 to 15:19, from 16:19 to 16:39, from 16:40 to 17:50\nFriday: Booked at the following times: from 9:26 to 9:46, from 10:48 to 12:18, from 14:02 to 15:12, from 15:35 to 17:55\n\nThe schedule for Shannon Garcia's week in their local time is as follows:\nMonday: Booked at the following times: from 9:28 to 9:58, from 11:28 to 13:18, from 13:39 to 14:09, from 14:46 to 15:06, from 15:21 to 16:31\nTuesday: Booked at the following times: from 9:15 to 10:15, from 10:27 to 11:07, from 11:37 to 11:57, from 13:24 to 14:34\nWednesday: Booked at the following times: from 11:49 to 13:49, from 14:01 to 14:41, from 17:26 to 17:56\nThursday: Booked at the following times: from 9:01 to 9:51, from 10:00 to 10:30, from 11:40 to 12:10, from 12:20 to 13:00, from 13:52 to 15:32, from 16:54 to 17:54\nFriday: Booked at the following times: from 11:16 to 11:36, from 11:56 to 12:56, from 14:24 to 16:04, from 16:43 to 17:33\n\nRaymond Davis can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nShannon Garcia requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Raymond Davis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[572, 592], [663, 813], [904, 994]], "Tuesday": [[571, 601], [623, 643], [643, 673], [739, 819], [855, 895], [911, 941], [955, 1055]], "Wednesday": [[715, 805], [908, 1058]], "Thursday": [[696, 846], [848, 908], [928, 1008], [1025, 1075]], "Friday": [[541, 641], [664, 684], [795, 885], [886, 1026], [1027, 1067]]}, "free_org": {"Monday": [[540, 572], [592, 663], [813, 904], [994, 1080]], "Tuesday": [[540, 571], [601, 623], [673, 739], [819, 855], [895, 911], [941, 955], [1055, 1080]], "Wednesday": [[540, 715], [805, 908], [1058, 1080]], "Thursday": [[540, 696], [846, 848], [908, 928], [1008, 1025], [1075, 1080]], "Friday": [[540, 541], [641, 664], [684, 795], [885, 886], [1026, 1027], [1067, 1080]]}, "constraint": ["conflict", 20]}, "Jason Hudson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[607, 687], [688, 708], [762, 882], [982, 1002]], "Tuesday": [[546, 696], [729, 879], [889, 1029]], "Wednesday": [[648, 768], [827, 887], [1031, 1071]], "Thursday": [[546, 596], [640, 710], [711, 831], [849, 919], [979, 999], [1000, 1070]], "Friday": [[566, 586], [648, 738], [842, 912], [935, 1075]]}, "free_org": {"Monday": [[540, 607], [687, 688], [708, 762], [882, 982], [1002, 1080]], "Tuesday": [[540, 546], [696, 729], [879, 889], [1029, 1080]], "Wednesday": [[540, 648], [768, 827], [887, 1031], [1071, 1080]], "Thursday": [[540, 546], [596, 640], [710, 711], [831, 849], [919, 979], [999, 1000], [1070, 1080]], "Friday": [[540, 566], [586, 648], [738, 842], [912, 935], [1075, 1080]]}, "constraint": ["none", null]}, "Shannon Garcia": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[568, 598], [688, 798], [819, 849], [886, 906], [921, 991]], "Tuesday": [[555, 615], [627, 667], [697, 717], [804, 874]], "Wednesday": [[709, 829], [841, 881], [1046, 1076]], "Thursday": [[541, 591], [600, 630], [700, 730], [740, 780], [832, 932], [1014, 1074]], "Friday": [[676, 696], [716, 776], [864, 964], [1003, 1053]]}, "free_org": {"Monday": [[540, 568], [598, 688], [798, 819], [849, 886], [906, 921], [991, 1080]], "Tuesday": [[540, 555], [615, 627], [667, 697], [717, 804], [874, 1080]], "Wednesday": [[540, 709], [829, 841], [881, 1046], [1076, 1080]], "Thursday": [[540, 541], [591, 600], [630, 700], [730, 740], [780, 832], [932, 1014], [1074, 1080]], "Friday": [[540, 676], [696, 716], [776, 864], [964, 1003], [1053, 1080]]}, "constraint": ["buffer", 10]}}, "solution": {"max_duration": 98, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nBenjamin Miller, Matthew Duncan, Adam Briggs, Nancy Livingston, Marcia Tanner work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Benjamin Miller's week in their local time is as follows:\nMonday: Booked at the following times: from 9:40 to 12:00, from 13:45 to 14:35, from 14:42 to 16:22, from 16:39 to 17:29\nTuesday: Booked at the following times: from 10:30 to 11:10, from 12:15 to 13:25, from 15:57 to 17:27\nWednesday: Booked at the following times: from 9:22 to 10:52, from 11:09 to 11:49, from 12:47 to 13:07, from 13:25 to 14:35, from 16:31 to 17:01\nThursday: Booked at the following times: from 9:12 to 11:32, from 12:34 to 13:44, from 14:26 to 16:26\nFriday: Booked at the following times: from 9:50 to 11:00, from 11:03 to 11:43, from 14:47 to 15:17, from 15:37 to 17:47\n\nThe schedule for Matthew Duncan's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 11:29, from 11:48 to 12:38, from 12:57 to 13:27, from 14:47 to 15:37\nTuesday: Booked at the following times: from 10:03 to 11:03, from 12:22 to 13:42, from 14:34 to 15:34, from 15:35 to 17:05\nWednesday: Booked at the following times: from 10:37 to 13:07, from 13:14 to 14:04, from 14:10 to 15:00, from 16:00 to 17:10\nThursday: Booked at the following times: from 11:02 to 11:52, from 12:27 to 14:27, from 15:37 to 16:47, from 17:02 to 17:32\nFriday: Booked at the following times: from 9:10 to 10:20, from 10:52 to 11:42, from 13:00 to 14:30, from 14:31 to 15:41, from 16:02 to 17:22\n\nThe schedule for Adam Briggs's week in their local time is as follows:\nMonday: Booked at the following times: from 11:51 to 12:11, from 12:59 to 14:49, from 15:00 to 17:10\nTuesday: Booked at the following times: from 9:21 to 11:01, from 12:53 to 14:53, from 17:15 to 17:45\nWednesday: Free only at the following times: anytime before 13:04, anytime after 16:24\nThursday: Booked at the following times: from 9:42 to 10:22, from 10:50 to 13:00, from 14:13 to 16:13\nFriday: Booked at the following times: from 9:53 to 12:03, from 13:13 to 14:13, from 15:19 to 16:29, from 17:09 to 17:59\n\nThe schedule for Nancy Livingston's week in their local time is as follows:\nMonday: Booked at the following times: from 9:49 to 10:09, from 12:12 to 13:02, from 13:14 to 14:14, from 15:08 to 17:28\nTuesday: Booked at the following times: from 9:18 to 11:18, from 12:27 to 14:17, from 14:19 to 14:49, from 15:15 to 16:45\nWednesday: Free only at the following times: anytime before 9:44, from 11:44 to 12:11, from 14:11 to 17:10\nThursday: Booked at the following times: from 9:20 to 11:50, from 12:11 to 14:21, from 16:39 to 17:49\nFriday: Booked at the following times: from 10:17 to 12:37, from 13:23 to 14:13, from 15:15 to 15:45\n\nThe schedule for Marcia Tanner's week in their local time is as follows:\nMonday: Booked at the following times: from 9:16 to 10:46, from 11:22 to 11:52, from 12:09 to 12:49, from 13:43 to 14:23, from 14:30 to 16:20, from 16:21 to 16:51\nTuesday: Booked at the following times: from 11:14 to 12:04, from 12:56 to 14:36, from 14:47 to 16:37, from 16:47 to 17:37\nWednesday: Booked at the following times: from 11:15 to 13:05, from 13:22 to 15:52\nThursday: Booked at the following times: from 10:24 to 12:24, from 15:14 to 17:24\nFriday: Free only at the following times: from 10:00 to 11:14, from 12:04 to 12:42, from 13:42 to 13:49, from 14:49 to 17:02, anytime after 17:42\n\nBenjamin Miller is in a timezone that is 1 hour ahead of other participants\nMatthew Duncan needs a break for lunch on Friday from 12:30 to 13:00\nAdam Briggs needs a break for lunch on Monday from 11:18 to 11:48\nNancy Livingston needs a break for lunch on Friday from 12:41 to 13:11\nMarcia Tanner can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Benjamin Miller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[580, 720], [825, 875], [882, 982], [999, 1049]], "Tuesday": [[630, 670], [735, 805], [957, 1047]], "Wednesday": [[562, 652], [669, 709], [767, 787], [805, 875], [991, 1021]], "Thursday": [[552, 692], [754, 824], [866, 986]], "Friday": [[590, 660], [663, 703], [887, 917], [937, 1067]]}, "free_org": {"Monday": [[540, 580], [720, 825], [875, 882], [982, 999], [1049, 1080]], "Tuesday": [[540, 630], [670, 735], [805, 957], [1047, 1080]], "Wednesday": [[540, 562], [652, 669], [709, 767], [787, 805], [875, 991], [1021, 1080]], "Thursday": [[540, 552], [692, 754], [824, 866], [986, 1080]], "Friday": [[540, 590], [660, 663], [703, 887], [917, 937], [1067, 1080]]}, "constraint": ["timezone", 1]}, "Matthew Duncan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 689], [708, 758], [777, 807], [887, 937]], "Tuesday": [[603, 663], [742, 822], [874, 934], [935, 1025]], "Wednesday": [[637, 787], [794, 844], [850, 900], [960, 1030]], "Thursday": [[662, 712], [747, 867], [937, 1007], [1022, 1052]], "Friday": [[550, 620], [652, 702], [780, 870], [871, 941], [962, 1042]]}, "free_org": {"Monday": [[540, 549], [689, 708], [758, 777], [807, 887], [937, 1080]], "Tuesday": [[540, 603], [663, 742], [822, 874], [934, 935], [1025, 1080]], "Wednesday": [[540, 637], [787, 794], [844, 850], [900, 960], [1030, 1080]], "Thursday": [[540, 662], [712, 747], [867, 937], [1007, 1022], [1052, 1080]], "Friday": [[540, 550], [620, 652], [702, 780], [870, 871], [941, 962], [1042, 1080]]}, "constraint": ["lunch", ["Friday", [750, 780]]]}, "Adam Briggs": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[711, 731], [779, 889], [900, 1030]], "Tuesday": [[561, 661], [773, 893], [1035, 1065]], "Wednesday": [[784, 854], [854, 984]], "Thursday": [[582, 622], [650, 780], [853, 973]], "Friday": [[593, 723], [793, 853], [919, 989], [1029, 1079]]}, "free_org": {"Monday": [[540, 711], [731, 779], [889, 900], [1030, 1080]], "Tuesday": [[540, 561], [661, 773], [893, 1035], [1065, 1080]], "Wednesday": [[540, 784], [984, 1080]], "Thursday": [[540, 582], [622, 650], [780, 853], [973, 1080]], "Friday": [[540, 593], [723, 793], [853, 919], [989, 1029], [1079, 1080]]}, "constraint": ["lunch", ["Monday", [678, 708]]]}, "Nancy Livingston": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[589, 609], [732, 782], [794, 854], [908, 1048]], "Tuesday": [[558, 678], [747, 857], [859, 889], [915, 1005]], "Wednesday": [[584, 704], [731, 851], [1030, 1080]], "Thursday": [[560, 710], [731, 861], [999, 1069]], "Friday": [[617, 757], [803, 853], [915, 945]]}, "free_org": {"Monday": [[540, 589], [609, 732], [782, 794], [854, 908], [1048, 1080]], "Tuesday": [[540, 558], [678, 747], [857, 859], [889, 915], [1005, 1080]], "Wednesday": [[540, 584], [704, 731], [851, 1030]], "Thursday": [[540, 560], [710, 731], [861, 999], [1069, 1080]], "Friday": [[540, 617], [757, 803], [853, 915], [945, 1080]]}, "constraint": ["lunch", ["Friday", [761, 791]]]}, "Marcia Tanner": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[556, 646], [682, 712], [729, 769], [823, 863], [870, 980], [981, 1011]], "Tuesday": [[674, 724], [776, 876], [887, 997], [1007, 1057]], "Wednesday": [[675, 785], [802, 952]], "Thursday": [[624, 744], [914, 1044]], "Friday": [[540, 600], [674, 724], [762, 822], [829, 889], [1022, 1062]]}, "free_org": {"Monday": [[540, 556], [646, 682], [712, 729], [769, 823], [863, 870], [980, 981], [1011, 1080]], "Tuesday": [[540, 674], [724, 776], [876, 887], [997, 1007], [1057, 1080]], "Wednesday": [[540, 675], [785, 802], [952, 1080]], "Thursday": [[540, 624], [744, 914], [1044, 1080]], "Friday": [[600, 674], [724, 762], [822, 829], [889, 1022], [1062, 1080]]}, "constraint": ["conflict", 20]}}, "solution": {"max_duration": 18, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJoshua Hawkins, Jennifer Wade, Jordan Evans DDS, Lauren Wilson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Joshua Hawkins's week in their local time is as follows:\nMonday: Booked at the following times: from 10:05 to 12:15, from 13:03 to 15:13\nTuesday: Booked at the following times: from 9:25 to 9:55, from 10:17 to 10:47, from 11:25 to 12:15, from 12:42 to 13:32, from 14:14 to 15:54, from 16:02 to 17:12\nWednesday: Booked at the following times: from 11:23 to 12:23, from 13:18 to 14:28, from 14:36 to 15:06, from 16:14 to 17:54\nThursday: Booked at the following times: from 11:10 to 12:00, from 12:26 to 12:46, from 14:49 to 15:59, from 16:38 to 17:48\nFriday: Booked at the following times: from 10:15 to 10:45, from 11:40 to 12:00, from 12:13 to 12:43, from 13:54 to 15:04, from 15:07 to 15:27, from 15:33 to 16:03, from 17:19 to 17:39\n\nThe schedule for Jennifer Wade's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:25, from 12:45 to 13:09, from 15:29 to 16:39, anytime after 17:19\nTuesday: Booked at the following times: from 11:32 to 12:22, from 12:45 to 14:55, from 15:02 to 16:42, from 16:55 to 17:15\nWednesday: Booked at the following times: from 9:29 to 10:49, from 11:31 to 11:51, from 12:58 to 13:18, from 13:24 to 14:44, from 15:43 to 17:23\nThursday: Booked at the following times: from 9:48 to 12:18, from 15:34 to 16:24\nFriday: Booked at the following times: from 9:29 to 11:59, from 12:40 to 14:50, from 16:48 to 17:08\n\nThe schedule for Jordan Evans DDS's week in their local time is as follows:\nMonday: Free only at the following times: from 10:10 to 10:16, from 11:26 to 12:03, from 13:23 to 13:45, from 14:05 to 14:13, from 15:13 to 15:23, from 15:53 to 16:23, anytime after 16:53\nTuesday: Booked at the following times: from 9:13 to 9:33, from 10:10 to 10:40, from 11:09 to 12:39, from 13:42 to 14:12, from 14:17 to 14:47, from 15:02 to 16:32, from 17:00 to 17:30\nWednesday: Booked at the following times: from 9:17 to 9:57, from 11:43 to 14:03, from 15:25 to 15:45\nThursday: Booked at the following times: from 9:06 to 11:16, from 11:56 to 14:06, from 14:11 to 16:41\nFriday: Booked at the following times: from 10:15 to 11:15, from 11:50 to 12:50, from 12:51 to 13:31, from 14:33 to 16:23\n\nThe schedule for Lauren Wilson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:07 to 9:27, from 9:28 to 9:48, from 10:20 to 10:50, from 11:56 to 12:36, from 12:42 to 13:12, from 13:29 to 13:59, from 14:03 to 14:43, from 15:55 to 16:55, from 17:26 to 17:56\nTuesday: Booked at the following times: from 9:36 to 9:56, from 11:42 to 12:02, from 12:51 to 15:11, from 15:58 to 16:18\nWednesday: Booked at the following times: from 9:18 to 10:18, from 10:27 to 10:57, from 11:21 to 12:01, from 12:49 to 13:09, from 13:43 to 14:13, from 14:57 to 15:47, from 16:16 to 17:26, from 17:28 to 17:48\nThursday: Booked at the following times: from 9:48 to 10:18, from 10:50 to 11:10, from 11:48 to 12:28, from 12:35 to 13:35, from 14:01 to 16:01, from 16:43 to 17:53\nFriday: Booked at the following times: from 9:48 to 11:38, from 13:11 to 15:11, from 16:21 to 17:41\n\nJoshua Hawkins is in a timezone that is 2 hours ahead of other participants\nJennifer Wade can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nJordan Evans DDS can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nLauren Wilson can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Joshua Hawkins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[605, 735], [783, 913]], "Tuesday": [[565, 595], [617, 647], [685, 735], [762, 812], [854, 954], [962, 1032]], "Wednesday": [[683, 743], [798, 868], [876, 906], [974, 1074]], "Thursday": [[670, 720], [746, 766], [889, 959], [998, 1068]], "Friday": [[615, 645], [700, 720], [733, 763], [834, 904], [907, 927], [933, 963], [1039, 1059]]}, "free_org": {"Monday": [[540, 605], [735, 783], [913, 1080]], "Tuesday": [[540, 565], [595, 617], [647, 685], [735, 762], [812, 854], [954, 962], [1032, 1080]], "Wednesday": [[540, 683], [743, 798], [868, 876], [906, 974], [1074, 1080]], "Thursday": [[540, 670], [720, 746], [766, 889], [959, 998], [1068, 1080]], "Friday": [[540, 615], [645, 700], [720, 733], [763, 834], [904, 907], [927, 933], [963, 1039], [1059, 1080]]}, "constraint": ["timezone", 2]}, "Jennifer Wade": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[625, 765], [789, 839], [839, 929], [999, 1039]], "Tuesday": [[692, 742], [765, 895], [902, 1002], [1015, 1035]], "Wednesday": [[569, 649], [691, 711], [778, 798], [804, 884], [943, 1043]], "Thursday": [[588, 738], [934, 984]], "Friday": [[569, 719], [760, 890], [1008, 1028]]}, "free_org": {"Monday": [[540, 625], [765, 789], [929, 999], [1039, 1080]], "Tuesday": [[540, 692], [742, 765], [895, 902], [1002, 1015], [1035, 1080]], "Wednesday": [[540, 569], [649, 691], [711, 778], [798, 804], [884, 943], [1043, 1080]], "Thursday": [[540, 588], [738, 934], [984, 1080]], "Friday": [[540, 569], [719, 760], [890, 1008], [1028, 1080]]}, "constraint": ["conflict", 60]}, "Jordan Evans DDS": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 560], [560, 610], [616, 686], [723, 803], [825, 845], [853, 913], [923, 953], [983, 1013]], "Tuesday": [[553, 573], [610, 640], [669, 759], [822, 852], [857, 887], [902, 992], [1020, 1050]], "Wednesday": [[557, 597], [703, 843], [925, 945]], "Thursday": [[546, 676], [716, 846], [851, 1001]], "Friday": [[615, 675], [710, 770], [771, 811], [873, 983]]}, "free_org": {"Monday": [[610, 616], [686, 723], [803, 825], [845, 853], [913, 923], [953, 983], [1013, 1080]], "Tuesday": [[540, 553], [573, 610], [640, 669], [759, 822], [852, 857], [887, 902], [992, 1020], [1050, 1080]], "Wednesday": [[540, 557], [597, 703], [843, 925], [945, 1080]], "Thursday": [[540, 546], [676, 716], [846, 851], [1001, 1080]], "Friday": [[540, 615], [675, 710], [770, 771], [811, 873], [983, 1080]]}, "constraint": ["conflict", 60]}, "Lauren Wilson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[547, 567], [568, 588], [620, 650], [716, 756], [762, 792], [809, 839], [843, 883], [955, 1015], [1046, 1076]], "Tuesday": [[576, 596], [702, 722], [771, 911], [958, 978]], "Wednesday": [[558, 618], [627, 657], [681, 721], [769, 789], [823, 853], [897, 947], [976, 1046], [1048, 1068]], "Thursday": [[588, 618], [650, 670], [708, 748], [755, 815], [841, 961], [1003, 1073]], "Friday": [[588, 698], [791, 911], [981, 1061]]}, "free_org": {"Monday": [[540, 547], [567, 568], [588, 620], [650, 716], [756, 762], [792, 809], [839, 843], [883, 955], [1015, 1046], [1076, 1080]], "Tuesday": [[540, 576], [596, 702], [722, 771], [911, 958], [978, 1080]], "Wednesday": [[540, 558], [618, 627], [657, 681], [721, 769], [789, 823], [853, 897], [947, 976], [1046, 1048], [1068, 1080]], "Thursday": [[540, 588], [618, 650], [670, 708], [748, 755], [815, 841], [961, 1003], [1073, 1080]], "Friday": [[540, 588], [698, 791], [911, 981], [1061, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 36, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nEdward Boyd, Elizabeth Snyder, Edward Anderson, Christina Richard, Robert Austin work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Edward Boyd's week in their local time is as follows:\nMonday: Booked at the following times: from 9:22 to 10:52, from 11:56 to 14:16, from 15:43 to 17:23\nTuesday: Booked at the following times: from 9:39 to 11:29, from 12:40 to 14:00, from 15:08 to 16:48, from 17:15 to 17:45\nWednesday: Booked at the following times: from 9:10 to 9:50, from 11:23 to 12:03, from 12:04 to 14:14, from 15:29 to 16:29\nThursday: Booked at the following times: from 9:18 to 10:58, from 11:45 to 13:15, from 14:28 to 16:08\nFriday: Booked at the following times: from 9:45 to 12:15, from 12:59 to 14:59\n\nThe schedule for Elizabeth Snyder's week in their local time is as follows:\nMonday: Booked at the following times: from 9:52 to 11:42, from 14:36 to 15:46, from 16:12 to 16:52\nTuesday: Booked at the following times: from 10:34 to 12:24, from 13:50 to 15:50\nWednesday: Booked at the following times: from 9:35 to 10:55, from 11:13 to 12:03, from 16:03 to 17:33\nThursday: Booked at the following times: from 9:23 to 11:13, from 11:30 to 12:20, from 12:23 to 13:43, from 14:41 to 16:21\nFriday: Booked at the following times: from 10:25 to 12:55, from 14:20 to 16:30, from 16:49 to 17:49\n\nThe schedule for Edward Anderson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 10:26, from 10:47 to 11:07, from 13:10 to 15:00, from 15:56 to 16:46, from 16:50 to 17:30\nTuesday: Booked at the following times: from 9:43 to 10:33, from 11:36 to 13:06, from 14:57 to 16:57, from 17:34 to 17:54\nWednesday: Booked at the following times: from 9:26 to 10:26, from 12:33 to 14:43, from 15:33 to 16:13\nThursday: Booked at the following times: from 9:42 to 12:12, from 12:30 to 14:10, from 15:14 to 16:04, from 16:08 to 17:58\nFriday: Booked at the following times: from 12:01 to 13:51, from 14:09 to 15:09, from 15:26 to 16:46\n\nThe schedule for Christina Richard's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:23, from 9:53 to 10:02, from 10:32 to 10:54, from 12:24 to 13:15, from 14:15 to 14:24, from 14:44 to 15:23, from 16:23 to 17:20\nTuesday: Booked at the following times: from 9:50 to 11:00, from 12:19 to 14:29, from 14:38 to 16:48\nWednesday: Booked at the following times: from 9:54 to 11:04, from 12:44 to 13:44, from 13:45 to 15:45\nThursday: Booked at the following times: from 9:31 to 11:41, from 12:02 to 13:02, from 15:24 to 16:54\nFriday: Booked at the following times: from 9:12 to 10:32, from 10:35 to 11:35, from 12:11 to 12:31, from 12:49 to 13:09, from 14:08 to 15:18, from 16:15 to 16:45, from 16:52 to 17:12, from 17:37 to 17:57\n\nThe schedule for Robert Austin's week in their local time is as follows:\nMonday: Booked at the following times: from 9:45 to 11:15, from 11:20 to 11:40, from 12:05 to 12:35, from 13:24 to 14:14, from 16:22 to 17:32\nTuesday: Booked at the following times: from 9:32 to 11:12, from 12:08 to 14:28, from 15:06 to 15:26\nWednesday: Booked at the following times: from 9:38 to 9:58, from 10:59 to 12:59, from 14:53 to 15:33, from 15:38 to 17:08, from 17:23 to 17:43\nThursday: Booked at the following times: from 9:14 to 9:44, from 11:19 to 12:09, from 12:30 to 13:00, from 13:43 to 14:33, from 15:56 to 16:46\nFriday: Booked at the following times: from 9:30 to 10:10, from 10:11 to 10:31, from 10:56 to 12:36, from 13:01 to 13:31, from 13:54 to 16:14\n\nEdward Boyd can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nElizabeth Snyder is in a timezone that is 1 hour behind of other participants\nEdward Anderson requires 15 minutes free before and after the meeting\nChristina Richard needs a break for lunch on Wednesday from 11:34 to 12:04\nRobert Austin can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Edward Boyd": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[562, 652], [716, 856], [943, 1043]], "Tuesday": [[579, 689], [760, 840], [908, 1008], [1035, 1065]], "Wednesday": [[550, 590], [683, 723], [724, 854], [929, 989]], "Thursday": [[558, 658], [705, 795], [868, 968]], "Friday": [[585, 735], [779, 899]]}, "free_org": {"Monday": [[540, 562], [652, 716], [856, 943], [1043, 1080]], "Tuesday": [[540, 579], [689, 760], [840, 908], [1008, 1035], [1065, 1080]], "Wednesday": [[540, 550], [590, 683], [723, 724], [854, 929], [989, 1080]], "Thursday": [[540, 558], [658, 705], [795, 868], [968, 1080]], "Friday": [[540, 585], [735, 779], [899, 1080]]}, "constraint": ["conflict", 40]}, "Elizabeth Snyder": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[592, 702], [876, 946], [972, 1012]], "Tuesday": [[634, 744], [830, 950]], "Wednesday": [[575, 655], [673, 723], [963, 1053]], "Thursday": [[563, 673], [690, 740], [743, 823], [881, 981]], "Friday": [[625, 775], [860, 990], [1009, 1069]]}, "free_org": {"Monday": [[540, 592], [702, 876], [946, 972], [1012, 1080]], "Tuesday": [[540, 634], [744, 830], [950, 1080]], "Wednesday": [[540, 575], [655, 673], [723, 963], [1053, 1080]], "Thursday": [[540, 563], [673, 690], [740, 743], [823, 881], [981, 1080]], "Friday": [[540, 625], [775, 860], [990, 1009], [1069, 1080]]}, "constraint": ["timezone", -1]}, "Edward Anderson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 626], [647, 667], [790, 900], [956, 1006], [1010, 1050]], "Tuesday": [[583, 633], [696, 786], [897, 1017], [1054, 1074]], "Wednesday": [[566, 626], [753, 883], [933, 973]], "Thursday": [[582, 732], [750, 850], [914, 964], [968, 1078]], "Friday": [[721, 831], [849, 909], [926, 1006]]}, "free_org": {"Monday": [[540, 576], [626, 647], [667, 790], [900, 956], [1006, 1010], [1050, 1080]], "Tuesday": [[540, 583], [633, 696], [786, 897], [1017, 1054], [1074, 1080]], "Wednesday": [[540, 566], [626, 753], [883, 933], [973, 1080]], "Thursday": [[540, 582], [732, 750], [850, 914], [964, 968], [1078, 1080]], "Friday": [[540, 721], [831, 849], [909, 926], [1006, 1080]]}, "constraint": ["buffer", 15]}, "Christina Richard": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 593], [602, 632], [654, 744], [795, 855], [864, 884], [923, 983], [1040, 1080]], "Tuesday": [[590, 660], [739, 869], [878, 1008]], "Wednesday": [[594, 664], [764, 824], [825, 945]], "Thursday": [[571, 701], [722, 782], [924, 1014]], "Friday": [[552, 632], [635, 695], [731, 751], [769, 789], [848, 918], [975, 1005], [1012, 1032], [1057, 1077]]}, "free_org": {"Monday": [[540, 563], [593, 602], [632, 654], [744, 795], [855, 864], [884, 923], [983, 1040]], "Tuesday": [[540, 590], [660, 739], [869, 878], [1008, 1080]], "Wednesday": [[540, 594], [664, 764], [824, 825], [945, 1080]], "Thursday": [[540, 571], [701, 722], [782, 924], [1014, 1080]], "Friday": [[540, 552], [632, 635], [695, 731], [751, 769], [789, 848], [918, 975], [1005, 1012], [1032, 1057], [1077, 1080]]}, "constraint": ["lunch", ["Wednesday", [694, 724]]]}, "Robert Austin": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[585, 675], [680, 700], [725, 755], [804, 854], [982, 1052]], "Tuesday": [[572, 672], [728, 868], [906, 926]], "Wednesday": [[578, 598], [659, 779], [893, 933], [938, 1028], [1043, 1063]], "Thursday": [[554, 584], [679, 729], [750, 780], [823, 873], [956, 1006]], "Friday": [[570, 610], [611, 631], [656, 756], [781, 811], [834, 974]]}, "free_org": {"Monday": [[540, 585], [675, 680], [700, 725], [755, 804], [854, 982], [1052, 1080]], "Tuesday": [[540, 572], [672, 728], [868, 906], [926, 1080]], "Wednesday": [[540, 578], [598, 659], [779, 893], [933, 938], [1028, 1043], [1063, 1080]], "Thursday": [[540, 554], [584, 679], [729, 750], [780, 823], [873, 956], [1006, 1080]], "Friday": [[540, 570], [610, 611], [631, 656], [756, 781], [811, 834], [974, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 9, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nWilliam Taylor, Yolanda Parker, Derek Butler, Candace Hill, Matthew Roberson, Douglas Moss work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for William Taylor's week in their local time is as follows:\nMonday: Booked at the following times: from 9:42 to 11:22, from 14:33 to 16:23, from 16:48 to 17:18\nTuesday: Booked at the following times: from 11:27 to 12:57, from 13:22 to 14:32, from 14:45 to 15:05, from 15:17 to 17:27\nWednesday: Booked at the following times: from 9:54 to 11:14, from 12:10 to 13:10, from 14:58 to 16:18\nThursday: Booked at the following times: from 10:21 to 10:41, from 10:50 to 13:10, from 14:06 to 15:36, from 15:58 to 16:48\nFriday: Booked at the following times: from 10:03 to 11:03, from 11:39 to 12:09, from 12:13 to 14:33, from 14:51 to 15:21, from 16:01 to 16:31\n\nThe schedule for Yolanda Parker's week in their local time is as follows:\nMonday: Booked at the following times: from 9:49 to 11:39, from 14:58 to 15:48, from 15:59 to 17:19\nTuesday: Booked at the following times: from 9:39 to 11:59, from 12:53 to 15:23\nWednesday: Booked at the following times: from 9:25 to 10:45, from 10:52 to 12:42, from 14:43 to 15:43, from 16:51 to 17:31\nThursday: Booked at the following times: from 10:07 to 10:37, from 11:01 to 12:41, from 13:19 to 15:39\nFriday: Booked at the following times: from 10:37 to 13:07, from 13:17 to 15:27\n\nThe schedule for Derek Butler's week in their local time is as follows:\nMonday: Booked at the following times: from 9:59 to 12:19, from 13:16 to 13:46, from 15:02 to 16:42\nTuesday: Booked at the following times: from 9:25 to 10:45, from 12:12 to 14:42, from 14:45 to 15:45\nWednesday: Booked at the following times: from 10:14 to 10:34, from 11:30 to 14:00, from 14:33 to 16:43\nThursday: Booked at the following times: from 9:14 to 11:24, from 12:19 to 14:09, from 14:20 to 14:40, from 14:59 to 15:49, from 16:09 to 16:29\nFriday: Booked at the following times: from 9:06 to 10:16, from 11:00 to 13:10, from 15:43 to 17:23\n\nThe schedule for Candace Hill's week in their local time is as follows:\nMonday: Booked at the following times: from 10:22 to 11:32, from 11:56 to 13:26, from 13:27 to 15:17, from 15:42 to 17:52\nTuesday: Booked at the following times: from 10:17 to 12:27, from 12:56 to 13:46, from 15:14 to 15:54\nWednesday: Booked at the following times: from 9:41 to 11:41, from 14:16 to 14:56, from 15:39 to 17:39\nThursday: Booked at the following times: from 9:52 to 11:42, from 11:49 to 12:29, from 13:23 to 13:53, from 13:54 to 14:34, from 15:24 to 16:14, from 16:15 to 16:55, from 17:00 to 17:20\nFriday: Booked at the following times: from 9:21 to 10:31, from 11:30 to 12:20, from 14:21 to 14:51, from 15:14 to 16:04\n\nThe schedule for Matthew Roberson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:11 to 10:31, from 12:26 to 13:26, from 16:19 to 17:39\nTuesday: Booked at the following times: from 9:07 to 9:27, from 9:37 to 11:37, from 11:52 to 12:32, from 13:27 to 14:37, from 15:09 to 16:29\nWednesday: Booked at the following times: from 9:11 to 10:01, from 13:51 to 16:11\nThursday: Free only at the following times: anytime before 9:11, from 13:21 to 13:59, from 14:19 to 14:40, anytime after 16:20\nFriday: Booked at the following times: from 9:09 to 9:59, from 10:30 to 10:50, from 11:25 to 12:05, from 12:50 to 13:50, from 14:26 to 16:36\n\nThe schedule for Douglas Moss's week in their local time is as follows:\nMonday: Booked at the following times: from 9:43 to 10:13, from 10:35 to 11:05, from 11:48 to 14:18, from 14:55 to 16:15, from 17:02 to 17:32\nTuesday: Booked at the following times: from 10:23 to 12:43, from 13:03 to 15:03\nWednesday: Booked at the following times: from 9:33 to 10:23, from 12:17 to 12:37, from 13:14 to 14:24, from 15:00 to 15:50, from 16:02 to 16:52\nThursday: Booked at the following times: from 11:16 to 12:56, from 13:03 to 13:53, from 14:02 to 15:32\nFriday: Booked at the following times: from 9:06 to 9:46, from 9:53 to 11:53, from 14:41 to 16:41\n\nWilliam Taylor is in a timezone that is 3 hours behind of other participants\nDerek Butler requires 10 minutes free before and after the meeting\nMatthew Roberson requires 10 minutes free before and after the meeting\nDouglas Moss needs a break for lunch on Monday from 11:16 to 11:46\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"William Taylor": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[582, 682], [873, 983], [1008, 1038]], "Tuesday": [[687, 777], [802, 872], [885, 905], [917, 1047]], "Wednesday": [[594, 674], [730, 790], [898, 978]], "Thursday": [[621, 641], [650, 790], [846, 936], [958, 1008]], "Friday": [[603, 663], [699, 729], [733, 873], [891, 921], [961, 991]]}, "free_org": {"Monday": [[540, 582], [682, 873], [983, 1008], [1038, 1080]], "Tuesday": [[540, 687], [777, 802], [872, 885], [905, 917], [1047, 1080]], "Wednesday": [[540, 594], [674, 730], [790, 898], [978, 1080]], "Thursday": [[540, 621], [641, 650], [790, 846], [936, 958], [1008, 1080]], "Friday": [[540, 603], [663, 699], [729, 733], [873, 891], [921, 961], [991, 1080]]}, "constraint": ["timezone", -3]}, "Yolanda Parker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[589, 699], [898, 948], [959, 1039]], "Tuesday": [[579, 719], [773, 923]], "Wednesday": [[565, 645], [652, 762], [883, 943], [1011, 1051]], "Thursday": [[607, 637], [661, 761], [799, 939]], "Friday": [[637, 787], [797, 927]]}, "free_org": {"Monday": [[540, 589], [699, 898], [948, 959], [1039, 1080]], "Tuesday": [[540, 579], [719, 773], [923, 1080]], "Wednesday": [[540, 565], [645, 652], [762, 883], [943, 1011], [1051, 1080]], "Thursday": [[540, 607], [637, 661], [761, 799], [939, 1080]], "Friday": [[540, 637], [787, 797], [927, 1080]]}, "constraint": ["none", null]}, "Derek Butler": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[599, 739], [796, 826], [902, 1002]], "Tuesday": [[565, 645], [732, 882], [885, 945]], "Wednesday": [[614, 634], [690, 840], [873, 1003]], "Thursday": [[554, 684], [739, 849], [860, 880], [899, 949], [969, 989]], "Friday": [[546, 616], [660, 790], [943, 1043]]}, "free_org": {"Monday": [[540, 599], [739, 796], [826, 902], [1002, 1080]], "Tuesday": [[540, 565], [645, 732], [882, 885], [945, 1080]], "Wednesday": [[540, 614], [634, 690], [840, 873], [1003, 1080]], "Thursday": [[540, 554], [684, 739], [849, 860], [880, 899], [949, 969], [989, 1080]], "Friday": [[540, 546], [616, 660], [790, 943], [1043, 1080]]}, "constraint": ["buffer", 10]}, "Candace Hill": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[622, 692], [716, 806], [807, 917], [942, 1072]], "Tuesday": [[617, 747], [776, 826], [914, 954]], "Wednesday": [[581, 701], [856, 896], [939, 1059]], "Thursday": [[592, 702], [709, 749], [803, 833], [834, 874], [924, 974], [975, 1015], [1020, 1040]], "Friday": [[561, 631], [690, 740], [861, 891], [914, 964]]}, "free_org": {"Monday": [[540, 622], [692, 716], [806, 807], [917, 942], [1072, 1080]], "Tuesday": [[540, 617], [747, 776], [826, 914], [954, 1080]], "Wednesday": [[540, 581], [701, 856], [896, 939], [1059, 1080]], "Thursday": [[540, 592], [702, 709], [749, 803], [833, 834], [874, 924], [974, 975], [1015, 1020], [1040, 1080]], "Friday": [[540, 561], [631, 690], [740, 861], [891, 914], [964, 1080]]}, "constraint": ["none", null]}, "Matthew Roberson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[551, 631], [746, 806], [979, 1059]], "Tuesday": [[547, 567], [577, 697], [712, 752], [807, 877], [909, 989]], "Wednesday": [[551, 601], [831, 971]], "Thursday": [[551, 691], [691, 801], [839, 859], [880, 980]], "Friday": [[549, 599], [630, 650], [685, 725], [770, 830], [866, 996]]}, "free_org": {"Monday": [[540, 551], [631, 746], [806, 979], [1059, 1080]], "Tuesday": [[540, 547], [567, 577], [697, 712], [752, 807], [877, 909], [989, 1080]], "Wednesday": [[540, 551], [601, 831], [971, 1080]], "Thursday": [[540, 551], [801, 839], [859, 880], [980, 1080]], "Friday": [[540, 549], [599, 630], [650, 685], [725, 770], [830, 866], [996, 1080]]}, "constraint": ["buffer", 10]}, "Douglas Moss": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[583, 613], [635, 665], [708, 858], [895, 975], [1022, 1052]], "Tuesday": [[623, 763], [783, 903]], "Wednesday": [[573, 623], [737, 757], [794, 864], [900, 950], [962, 1012]], "Thursday": [[676, 776], [783, 833], [842, 932]], "Friday": [[546, 586], [593, 713], [881, 1001]]}, "free_org": {"Monday": [[540, 583], [613, 635], [665, 708], [858, 895], [975, 1022], [1052, 1080]], "Tuesday": [[540, 623], [763, 783], [903, 1080]], "Wednesday": [[540, 573], [623, 737], [757, 794], [864, 900], [950, 962], [1012, 1080]], "Thursday": [[540, 676], [776, 783], [833, 842], [932, 1080]], "Friday": [[540, 546], [586, 593], [713, 881], [1001, 1080]]}, "constraint": ["lunch", ["Monday", [676, 706]]]}}, "solution": {"max_duration": 17, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRichard Reyes, Mary Arroyo, Keith Jenkins work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Richard Reyes's week in their local time is as follows:\nMonday: Booked at the following times: from 10:19 to 12:29, from 12:45 to 13:45, from 14:06 to 15:26, from 16:34 to 16:54, from 17:29 to 17:49\nTuesday: Booked at the following times: from 9:16 to 10:46, from 11:56 to 13:56, from 17:14 to 17:54\nWednesday: Booked at the following times: from 9:06 to 11:16, from 11:56 to 12:46, from 13:04 to 13:44, from 16:37 to 17:57\nThursday: Booked at the following times: from 10:08 to 11:38, from 11:44 to 12:14, from 12:56 to 14:26, from 14:33 to 15:53, from 17:29 to 17:59\nFriday: Booked at the following times: from 10:53 to 12:43, from 12:49 to 13:19, from 13:22 to 13:52, from 14:26 to 15:36, from 16:03 to 17:13\n\nThe schedule for Mary Arroyo's week in their local time is as follows:\nMonday: Booked at the following times: from 9:31 to 11:51, from 13:19 to 14:29, from 16:07 to 16:37\nTuesday: Free only at the following times: from 10:30 to 11:22, from 12:02 to 12:58, from 14:08 to 14:22, anytime after 15:32\nWednesday: Booked at the following times: from 12:16 to 14:46, from 15:46 to 17:26\nThursday: Booked at the following times: from 9:53 to 11:53, from 12:08 to 12:58, from 13:44 to 14:34, from 15:52 to 16:42, from 17:16 to 17:56\nFriday: Booked at the following times: from 10:33 to 10:53, from 12:55 to 14:15, from 14:52 to 15:32, from 15:37 to 17:47\n\nThe schedule for Keith Jenkins's week in their local time is as follows:\nMonday: Booked at the following times: from 11:52 to 13:52, from 15:34 to 17:54\nTuesday: Booked at the following times: from 9:15 to 10:35, from 10:47 to 13:07, from 13:53 to 14:13, from 15:22 to 16:42, from 17:10 to 17:50\nWednesday: Booked at the following times: from 9:08 to 10:18, from 10:56 to 12:46, from 13:47 to 14:27, from 15:27 to 16:27\nThursday: Booked at the following times: from 9:19 to 10:29, from 12:56 to 15:06, from 16:20 to 17:30\nFriday: Booked at the following times: from 11:15 to 12:45, from 13:54 to 15:34, from 15:55 to 17:55\n\nRichard Reyes needs a break for lunch on Thursday from 12:14 to 12:44\nMary Arroyo can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nKeith Jenkins is in a timezone that is 2 hours behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Richard Reyes": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[619, 749], [765, 825], [846, 926], [994, 1014], [1049, 1069]], "Tuesday": [[556, 646], [716, 836], [1034, 1074]], "Wednesday": [[546, 676], [716, 766], [784, 824], [997, 1077]], "Thursday": [[608, 698], [704, 734], [776, 866], [873, 953], [1049, 1079]], "Friday": [[653, 763], [769, 799], [802, 832], [866, 936], [963, 1033]]}, "free_org": {"Monday": [[540, 619], [749, 765], [825, 846], [926, 994], [1014, 1049], [1069, 1080]], "Tuesday": [[540, 556], [646, 716], [836, 1034], [1074, 1080]], "Wednesday": [[540, 546], [676, 716], [766, 784], [824, 997], [1077, 1080]], "Thursday": [[540, 608], [698, 704], [734, 776], [866, 873], [953, 1049], [1079, 1080]], "Friday": [[540, 653], [763, 769], [799, 802], [832, 866], [936, 963], [1033, 1080]]}, "constraint": ["lunch", ["Thursday", [734, 764]]]}, "Mary Arroyo": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[571, 711], [799, 869], [967, 997]], "Tuesday": [[540, 630], [682, 722], [778, 848], [862, 932]], "Wednesday": [[736, 886], [946, 1046]], "Thursday": [[593, 713], [728, 778], [824, 874], [952, 1002], [1036, 1076]], "Friday": [[633, 653], [775, 855], [892, 932], [937, 1067]]}, "free_org": {"Monday": [[540, 571], [711, 799], [869, 967], [997, 1080]], "Tuesday": [[630, 682], [722, 778], [848, 862], [932, 1080]], "Wednesday": [[540, 736], [886, 946], [1046, 1080]], "Thursday": [[540, 593], [713, 728], [778, 824], [874, 952], [1002, 1036], [1076, 1080]], "Friday": [[540, 633], [653, 775], [855, 892], [932, 937], [1067, 1080]]}, "constraint": ["conflict", 40]}, "Keith Jenkins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[712, 832], [934, 1074]], "Tuesday": [[555, 635], [647, 787], [833, 853], [922, 1002], [1030, 1070]], "Wednesday": [[548, 618], [656, 766], [827, 867], [927, 987]], "Thursday": [[559, 629], [776, 906], [980, 1050]], "Friday": [[675, 765], [834, 934], [955, 1075]]}, "free_org": {"Monday": [[540, 712], [832, 934], [1074, 1080]], "Tuesday": [[540, 555], [635, 647], [787, 833], [853, 922], [1002, 1030], [1070, 1080]], "Wednesday": [[540, 548], [618, 656], [766, 827], [867, 927], [987, 1080]], "Thursday": [[540, 559], [629, 776], [906, 980], [1050, 1080]], "Friday": [[540, 675], [765, 834], [934, 955], [1075, 1080]]}, "constraint": ["timezone", -2]}}, "solution": {"max_duration": 61, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nShane Conrad, Barbara Ashley, Joshua Johnson, Mrs. Joanna Miller, Tanya Fields work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Shane Conrad's week in their local time is as follows:\nMonday: Booked at the following times: from 10:50 to 11:50, from 12:18 to 13:08, from 16:08 to 17:38\nTuesday: Booked at the following times: from 11:02 to 13:32, from 13:39 to 15:09\nWednesday: Booked at the following times: from 11:17 to 13:37, from 14:07 to 16:37\nThursday: Booked at the following times: from 10:40 to 12:10, from 12:19 to 14:09, from 15:07 to 16:57\nFriday: Booked at the following times: from 10:11 to 10:41, from 11:00 to 11:30, from 11:38 to 13:08, from 13:54 to 14:24, from 14:42 to 16:02\n\nThe schedule for Barbara Ashley's week in their local time is as follows:\nMonday: Booked at the following times: from 11:28 to 11:48, from 12:07 to 13:47, from 14:36 to 16:16, from 16:52 to 17:52\nTuesday: Booked at the following times: from 11:14 to 13:44, from 14:31 to 16:11, from 16:40 to 17:20\nWednesday: Booked at the following times: from 10:28 to 11:18, from 11:22 to 13:32, from 14:13 to 15:23, from 15:47 to 16:57\nThursday: Booked at the following times: from 10:00 to 11:30, from 13:08 to 13:48, from 13:57 to 15:57, from 17:27 to 17:57\nFriday: Booked at the following times: from 9:03 to 10:03, from 10:15 to 10:35, from 11:24 to 13:04, from 13:49 to 14:09, from 14:12 to 15:52, from 16:23 to 16:53\n\nThe schedule for Joshua Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 11:04, from 13:55 to 14:25, from 14:43 to 15:53\nTuesday: Booked at the following times: from 9:27 to 9:47, from 12:01 to 12:51, from 13:24 to 14:44, from 15:11 to 15:31, from 15:57 to 16:47\nWednesday: Booked at the following times: from 12:02 to 14:12, from 14:49 to 16:09\nThursday: Booked at the following times: from 11:29 to 13:19, from 13:53 to 14:33, from 14:36 to 15:06, from 15:09 to 15:39, from 16:13 to 17:43\nFriday: Booked at the following times: from 11:18 to 13:18, from 15:04 to 17:04\n\nThe schedule for Mrs. Joanna Miller's week in their local time is as follows:\nMonday: Booked at the following times: from 10:03 to 12:13, from 12:48 to 13:28, from 13:50 to 15:10, from 15:48 to 16:28, from 16:51 to 17:11\nTuesday: Booked at the following times: from 9:55 to 11:05, from 11:54 to 13:54, from 14:06 to 14:36, from 15:46 to 16:56\nWednesday: Booked at the following times: from 10:25 to 12:55, from 15:06 to 16:56\nThursday: Booked at the following times: from 10:15 to 11:35, from 13:02 to 15:02, from 15:27 to 16:57\nFriday: Booked at the following times: from 10:18 to 11:08, from 11:37 to 14:07, from 15:26 to 16:36\n\nThe schedule for Tanya Fields's week in their local time is as follows:\nMonday: Booked at the following times: from 9:51 to 12:11, from 12:29 to 13:29, from 16:11 to 17:41\nTuesday: Booked at the following times: from 9:20 to 9:50, from 12:17 to 12:57, from 13:33 to 15:33\nWednesday: Booked at the following times: from 9:22 to 9:52, from 10:30 to 12:00, from 12:25 to 12:55, from 14:15 to 15:45, from 16:11 to 16:41, from 17:06 to 17:46\nThursday: Booked at the following times: from 9:36 to 11:06, from 11:59 to 13:49, from 16:49 to 17:29\nFriday: Booked at the following times: from 11:00 to 12:20, from 14:12 to 15:42, from 16:55 to 17:45\n\nShane Conrad is in a timezone that is 1 hour ahead of other participants\nBarbara Ashley requires 5 minutes free before and after the meeting\nJoshua Johnson is in a timezone that is 2 hours ahead of other participants\nMrs. Joanna Miller can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nTanya Fields needs a break for lunch on Tuesday from 11:30 to 12:00\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Shane Conrad": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[650, 710], [738, 788], [968, 1058]], "Tuesday": [[662, 812], [819, 909]], "Wednesday": [[677, 817], [847, 997]], "Thursday": [[640, 730], [739, 849], [907, 1017]], "Friday": [[611, 641], [660, 690], [698, 788], [834, 864], [882, 962]]}, "free_org": {"Monday": [[540, 650], [710, 738], [788, 968], [1058, 1080]], "Tuesday": [[540, 662], [812, 819], [909, 1080]], "Wednesday": [[540, 677], [817, 847], [997, 1080]], "Thursday": [[540, 640], [730, 739], [849, 907], [1017, 1080]], "Friday": [[540, 611], [641, 660], [690, 698], [788, 834], [864, 882], [962, 1080]]}, "constraint": ["timezone", 1]}, "Barbara Ashley": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[688, 708], [727, 827], [876, 976], [1012, 1072]], "Tuesday": [[674, 824], [871, 971], [1000, 1040]], "Wednesday": [[628, 678], [682, 812], [853, 923], [947, 1017]], "Thursday": [[600, 690], [788, 828], [837, 957], [1047, 1077]], "Friday": [[543, 603], [615, 635], [684, 784], [829, 849], [852, 952], [983, 1013]]}, "free_org": {"Monday": [[540, 688], [708, 727], [827, 876], [976, 1012], [1072, 1080]], "Tuesday": [[540, 674], [824, 871], [971, 1000], [1040, 1080]], "Wednesday": [[540, 628], [678, 682], [812, 853], [923, 947], [1017, 1080]], "Thursday": [[540, 600], [690, 788], [828, 837], [957, 1047], [1077, 1080]], "Friday": [[540, 543], [603, 615], [635, 684], [784, 829], [849, 852], [952, 983], [1013, 1080]]}, "constraint": ["buffer", 5]}, "Joshua Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 664], [835, 865], [883, 953]], "Tuesday": [[567, 587], [721, 771], [804, 884], [911, 931], [957, 1007]], "Wednesday": [[722, 852], [889, 969]], "Thursday": [[689, 799], [833, 873], [876, 906], [909, 939], [973, 1063]], "Friday": [[678, 798], [904, 1024]]}, "free_org": {"Monday": [[540, 574], [664, 835], [865, 883], [953, 1080]], "Tuesday": [[540, 567], [587, 721], [771, 804], [884, 911], [931, 957], [1007, 1080]], "Wednesday": [[540, 722], [852, 889], [969, 1080]], "Thursday": [[540, 689], [799, 833], [873, 876], [906, 909], [939, 973], [1063, 1080]], "Friday": [[540, 678], [798, 904], [1024, 1080]]}, "constraint": ["timezone", 2]}, "Mrs. Joanna Miller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[603, 733], [768, 808], [830, 910], [948, 988], [1011, 1031]], "Tuesday": [[595, 665], [714, 834], [846, 876], [946, 1016]], "Wednesday": [[625, 775], [906, 1016]], "Thursday": [[615, 695], [782, 902], [927, 1017]], "Friday": [[618, 668], [697, 847], [926, 996]]}, "free_org": {"Monday": [[540, 603], [733, 768], [808, 830], [910, 948], [988, 1011], [1031, 1080]], "Tuesday": [[540, 595], [665, 714], [834, 846], [876, 946], [1016, 1080]], "Wednesday": [[540, 625], [775, 906], [1016, 1080]], "Thursday": [[540, 615], [695, 782], [902, 927], [1017, 1080]], "Friday": [[540, 618], [668, 697], [847, 926], [996, 1080]]}, "constraint": ["conflict", 60]}, "Tanya Fields": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[591, 731], [749, 809], [971, 1061]], "Tuesday": [[560, 590], [737, 777], [813, 933]], "Wednesday": [[562, 592], [630, 720], [745, 775], [855, 945], [971, 1001], [1026, 1066]], "Thursday": [[576, 666], [719, 829], [1009, 1049]], "Friday": [[660, 740], [852, 942], [1015, 1065]]}, "free_org": {"Monday": [[540, 591], [731, 749], [809, 971], [1061, 1080]], "Tuesday": [[540, 560], [590, 737], [777, 813], [933, 1080]], "Wednesday": [[540, 562], [592, 630], [720, 745], [775, 855], [945, 971], [1001, 1026], [1066, 1080]], "Thursday": [[540, 576], [666, 719], [829, 1009], [1049, 1080]], "Friday": [[540, 660], [740, 852], [942, 1015], [1065, 1080]]}, "constraint": ["lunch", ["Tuesday", [690, 720]]]}}, "solution": {"max_duration": 45, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRyan Dyer, Samantha Warren, Christine Spencer, Pamela Stevenson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ryan Dyer's week in their local time is as follows:\nMonday: Booked at the following times: from 9:23 to 9:53, from 10:49 to 13:19, from 13:30 to 16:00, from 16:12 to 16:52, from 17:14 to 17:34\nTuesday: Booked at the following times: from 10:03 to 10:23, from 10:54 to 13:24, from 14:10 to 16:20, from 17:28 to 17:48\nWednesday: Booked at the following times: from 9:22 to 11:22, from 11:40 to 12:20, from 12:44 to 14:04, from 14:10 to 15:10\nThursday: Booked at the following times: from 9:48 to 10:08, from 11:10 to 11:30, from 12:01 to 13:21, from 13:22 to 15:02, from 15:52 to 16:12, from 16:19 to 17:19\nFriday: Booked at the following times: from 9:52 to 11:42, from 12:28 to 14:48\n\nThe schedule for Samantha Warren's week in their local time is as follows:\nMonday: Booked at the following times: from 10:14 to 11:34, from 13:07 to 15:27, from 15:35 to 16:45, from 17:09 to 17:59\nTuesday: Booked at the following times: from 9:38 to 10:28, from 11:23 to 12:53, from 13:35 to 15:15, from 16:11 to 16:41\nWednesday: Booked at the following times: from 12:47 to 14:57, from 15:41 to 17:31\nThursday: Booked at the following times: from 10:31 to 12:01, from 13:20 to 14:50, from 15:09 to 17:29\nFriday: Booked at the following times: from 10:10 to 12:00, from 12:19 to 13:29, from 13:34 to 14:54, from 16:19 to 17:49\n\nThe schedule for Christine Spencer's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 11:26, from 12:13 to 13:03, from 13:48 to 15:38, from 15:42 to 16:22\nTuesday: Booked at the following times: from 11:42 to 13:32, from 15:22 to 16:42, from 16:47 to 17:37\nWednesday: Booked at the following times: from 9:27 to 10:37, from 10:53 to 11:23, from 12:30 to 14:50, from 15:11 to 15:31, from 15:36 to 16:06, from 16:47 to 17:37\nThursday: Booked at the following times: from 10:37 to 11:37, from 14:57 to 15:47, from 15:58 to 17:18\nFriday: Booked at the following times: from 9:32 to 12:02, from 13:21 to 14:11, from 15:49 to 17:49\n\nThe schedule for Pamela Stevenson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:29 to 10:29, from 10:47 to 12:17, from 15:12 to 17:12\nTuesday: Booked at the following times: from 10:21 to 11:31, from 11:38 to 14:08, from 14:17 to 16:37\nWednesday: Booked at the following times: from 9:11 to 9:31, from 10:08 to 12:38, from 13:31 to 15:31, from 15:53 to 16:13, from 17:21 to 17:41\nThursday: Booked at the following times: from 10:38 to 11:28, from 11:30 to 13:30, from 14:21 to 14:41, from 15:13 to 17:33\nFriday: Booked at the following times: from 9:58 to 11:28, from 11:53 to 13:03, from 13:58 to 16:18\n\nRyan Dyer requires 15 minutes free before and after the meeting\nSamantha Warren can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nChristine Spencer can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ryan Dyer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 593], [649, 799], [810, 960], [972, 1012], [1034, 1054]], "Tuesday": [[603, 623], [654, 804], [850, 980], [1048, 1068]], "Wednesday": [[562, 682], [700, 740], [764, 844], [850, 910]], "Thursday": [[588, 608], [670, 690], [721, 801], [802, 902], [952, 972], [979, 1039]], "Friday": [[592, 702], [748, 888]]}, "free_org": {"Monday": [[540, 563], [593, 649], [799, 810], [960, 972], [1012, 1034], [1054, 1080]], "Tuesday": [[540, 603], [623, 654], [804, 850], [980, 1048], [1068, 1080]], "Wednesday": [[540, 562], [682, 700], [740, 764], [844, 850], [910, 1080]], "Thursday": [[540, 588], [608, 670], [690, 721], [801, 802], [902, 952], [972, 979], [1039, 1080]], "Friday": [[540, 592], [702, 748], [888, 1080]]}, "constraint": ["buffer", 15]}, "Samantha Warren": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[614, 694], [787, 927], [935, 1005], [1029, 1079]], "Tuesday": [[578, 628], [683, 773], [815, 915], [971, 1001]], "Wednesday": [[767, 897], [941, 1051]], "Thursday": [[631, 721], [800, 890], [909, 1049]], "Friday": [[610, 720], [739, 809], [814, 894], [979, 1069]]}, "free_org": {"Monday": [[540, 614], [694, 787], [927, 935], [1005, 1029], [1079, 1080]], "Tuesday": [[540, 578], [628, 683], [773, 815], [915, 971], [1001, 1080]], "Wednesday": [[540, 767], [897, 941], [1051, 1080]], "Thursday": [[540, 631], [721, 800], [890, 909], [1049, 1080]], "Friday": [[540, 610], [720, 739], [809, 814], [894, 979], [1069, 1080]]}, "constraint": ["conflict", 20]}, "Christine Spencer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 686], [733, 783], [828, 938], [942, 982]], "Tuesday": [[702, 812], [922, 1002], [1007, 1057]], "Wednesday": [[567, 637], [653, 683], [750, 890], [911, 931], [936, 966], [1007, 1057]], "Thursday": [[637, 697], [897, 947], [958, 1038]], "Friday": [[572, 722], [801, 851], [949, 1069]]}, "free_org": {"Monday": [[540, 576], [686, 733], [783, 828], [938, 942], [982, 1080]], "Tuesday": [[540, 702], [812, 922], [1002, 1007], [1057, 1080]], "Wednesday": [[540, 567], [637, 653], [683, 750], [890, 911], [931, 936], [966, 1007], [1057, 1080]], "Thursday": [[540, 637], [697, 897], [947, 958], [1038, 1080]], "Friday": [[540, 572], [722, 801], [851, 949], [1069, 1080]]}, "constraint": ["conflict", 20]}, "Pamela Stevenson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[569, 629], [647, 737], [912, 1032]], "Tuesday": [[621, 691], [698, 848], [857, 997]], "Wednesday": [[551, 571], [608, 758], [811, 931], [953, 973], [1041, 1061]], "Thursday": [[638, 688], [690, 810], [861, 881], [913, 1053]], "Friday": [[598, 688], [713, 783], [838, 978]]}, "free_org": {"Monday": [[540, 569], [629, 647], [737, 912], [1032, 1080]], "Tuesday": [[540, 621], [691, 698], [848, 857], [997, 1080]], "Wednesday": [[540, 551], [571, 608], [758, 811], [931, 953], [973, 1041], [1061, 1080]], "Thursday": [[540, 638], [688, 690], [810, 861], [881, 913], [1053, 1080]], "Friday": [[540, 598], [688, 713], [783, 838], [978, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 23, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJoshua Thompson, Evelyn Brennan, Jennifer Aguilar, Steven Flowers work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Joshua Thompson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:41 to 10:41, from 10:44 to 11:04, from 13:35 to 13:55, from 14:52 to 15:42, from 17:09 to 17:29\nTuesday: Booked at the following times: from 9:34 to 12:04, from 12:32 to 15:02, from 16:09 to 16:39\nWednesday: Booked at the following times: from 9:36 to 12:06, from 12:10 to 12:50, from 14:44 to 15:34, from 16:55 to 17:55\nThursday: Booked at the following times: from 11:29 to 13:19, from 13:35 to 14:25, from 14:37 to 15:07, from 15:14 to 17:24\nFriday: Booked at the following times: from 12:31 to 14:21, from 14:39 to 15:59, from 16:47 to 17:27\n\nThe schedule for Evelyn Brennan's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 10:34, from 12:13 to 13:33, from 15:33 to 16:53\nTuesday: Booked at the following times: from 10:48 to 13:18, from 14:17 to 16:27\nWednesday: Booked at the following times: from 9:12 to 9:42, from 10:43 to 12:43, from 13:23 to 13:53, from 14:15 to 16:05, from 17:18 to 17:48\nThursday: Free only at the following times: anytime before 9:16, from 10:06 to 10:10, from 11:20 to 12:25, from 13:45 to 14:03, from 14:23 to 14:31, from 15:11 to 16:03, anytime after 17:23\nFriday: Booked at the following times: from 9:28 to 11:48, from 13:12 to 15:32, from 16:16 to 16:56\n\nThe schedule for Jennifer Aguilar's week in their local time is as follows:\nMonday: Booked at the following times: from 10:23 to 11:13, from 13:06 to 14:36, from 15:36 to 16:06, from 16:30 to 17:40\nTuesday: Free only at the following times: from 9:50 to 10:01, from 12:01 to 13:06, from 15:06 to 15:50, from 16:20 to 17:13, anytime after 17:33\nWednesday: Booked at the following times: from 10:32 to 13:02, from 13:14 to 13:34, from 13:56 to 14:36, from 14:37 to 14:57, from 15:26 to 16:46, from 16:58 to 17:28\nThursday: Booked at the following times: from 10:13 to 11:13, from 11:34 to 12:54, from 12:57 to 14:07, from 15:19 to 16:49\nFriday: Booked at the following times: from 9:25 to 11:25, from 12:18 to 13:18, from 13:39 to 14:09, from 14:11 to 14:41, from 15:40 to 16:00, from 16:18 to 16:58\n\nThe schedule for Steven Flowers's week in their local time is as follows:\nMonday: Booked at the following times: from 9:56 to 10:46, from 11:16 to 13:16, from 13:37 to 14:27, from 15:31 to 16:01, from 16:08 to 16:38\nTuesday: Booked at the following times: from 9:17 to 10:57, from 12:27 to 13:47, from 13:55 to 14:55, from 15:11 to 15:41, from 16:34 to 17:34\nWednesday: Free only at the following times: anytime before 9:23, from 10:53 to 15:15, from 16:05 to 16:40\nThursday: Booked at the following times: from 9:04 to 10:24, from 10:32 to 11:02, from 12:10 to 14:40, from 15:42 to 17:42\nFriday: Booked at the following times: from 10:15 to 11:25, from 12:20 to 13:00, from 13:19 to 14:39, from 15:54 to 17:04\n\nJoshua Thompson is in a timezone that is 2 hours behind of other participants\nEvelyn Brennan requires 10 minutes free before and after the meeting\nJennifer Aguilar is in a timezone that is 1 hour ahead of other participants\nSteven Flowers can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Joshua Thompson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[581, 641], [644, 664], [815, 835], [892, 942], [1029, 1049]], "Tuesday": [[574, 724], [752, 902], [969, 999]], "Wednesday": [[576, 726], [730, 770], [884, 934], [1015, 1075]], "Thursday": [[689, 799], [815, 865], [877, 907], [914, 1044]], "Friday": [[751, 861], [879, 959], [1007, 1047]]}, "free_org": {"Monday": [[540, 581], [641, 644], [664, 815], [835, 892], [942, 1029], [1049, 1080]], "Tuesday": [[540, 574], [724, 752], [902, 969], [999, 1080]], "Wednesday": [[540, 576], [726, 730], [770, 884], [934, 1015], [1075, 1080]], "Thursday": [[540, 689], [799, 815], [865, 877], [907, 914], [1044, 1080]], "Friday": [[540, 751], [861, 879], [959, 1007], [1047, 1080]]}, "constraint": ["timezone", -2]}, "Evelyn Brennan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 634], [733, 813], [933, 1013]], "Tuesday": [[648, 798], [857, 987]], "Wednesday": [[552, 582], [643, 763], [803, 833], [855, 965], [1038, 1068]], "Thursday": [[556, 606], [610, 660], [660, 680], [745, 805], [805, 825], [843, 863], [871, 911], [963, 1023], [1023, 1043]], "Friday": [[568, 708], [792, 932], [976, 1016]]}, "free_org": {"Monday": [[540, 574], [634, 733], [813, 933], [1013, 1080]], "Tuesday": [[540, 648], [798, 857], [987, 1080]], "Wednesday": [[540, 552], [582, 643], [763, 803], [833, 855], [965, 1038], [1068, 1080]], "Thursday": [[540, 556], [606, 610], [680, 745], [825, 843], [863, 871], [911, 963], [1043, 1080]], "Friday": [[540, 568], [708, 792], [932, 976], [1016, 1080]]}, "constraint": ["buffer", 10]}, "Jennifer Aguilar": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[623, 673], [786, 876], [936, 966], [990, 1060]], "Tuesday": [[540, 590], [601, 721], [786, 906], [950, 980], [1033, 1053]], "Wednesday": [[632, 782], [794, 814], [836, 876], [877, 897], [926, 1006], [1018, 1048]], "Thursday": [[613, 673], [694, 774], [777, 847], [919, 1009]], "Friday": [[565, 685], [738, 798], [819, 849], [851, 881], [940, 960], [978, 1018]]}, "free_org": {"Monday": [[540, 623], [673, 786], [876, 936], [966, 990], [1060, 1080]], "Tuesday": [[590, 601], [721, 786], [906, 950], [980, 1033], [1053, 1080]], "Wednesday": [[540, 632], [782, 794], [814, 836], [876, 877], [897, 926], [1006, 1018], [1048, 1080]], "Thursday": [[540, 613], [673, 694], [774, 777], [847, 919], [1009, 1080]], "Friday": [[540, 565], [685, 738], [798, 819], [849, 851], [881, 940], [960, 978], [1018, 1080]]}, "constraint": ["timezone", 1]}, "Steven Flowers": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[596, 646], [676, 796], [817, 867], [931, 961], [968, 998]], "Tuesday": [[557, 657], [747, 827], [835, 895], [911, 941], [994, 1054]], "Wednesday": [[563, 653], [915, 965], [1000, 1080]], "Thursday": [[544, 624], [632, 662], [730, 880], [942, 1062]], "Friday": [[615, 685], [740, 780], [799, 879], [954, 1024]]}, "free_org": {"Monday": [[540, 596], [646, 676], [796, 817], [867, 931], [961, 968], [998, 1080]], "Tuesday": [[540, 557], [657, 747], [827, 835], [895, 911], [941, 994], [1054, 1080]], "Wednesday": [[540, 563], [653, 915], [965, 1000]], "Thursday": [[540, 544], [624, 632], [662, 730], [880, 942], [1062, 1080]], "Friday": [[540, 615], [685, 740], [780, 799], [879, 954], [1024, 1080]]}, "constraint": ["conflict", 20]}}, "solution": {"max_duration": 17, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nVictoria Johnson, Donna Barajas, Peter Carrillo, Carlos Anderson PhD, Jacqueline Guerrero work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Victoria Johnson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:16 to 11:26, from 13:29 to 14:19, from 15:02 to 16:22\nTuesday: Booked at the following times: from 9:31 to 10:11, from 10:17 to 10:37, from 13:43 to 15:23, from 15:24 to 17:44\nWednesday: Booked at the following times: from 9:28 to 9:48, from 12:25 to 13:25, from 13:26 to 15:36, from 16:10 to 16:50\nThursday: Booked at the following times: from 11:12 to 12:02, from 12:32 to 13:52, from 14:16 to 16:06, from 16:11 to 16:31\nFriday: Free only at the following times: anytime before 9:30, from 12:20 to 12:35, from 13:15 to 14:27, from 14:57 to 15:00, from 16:10 to 16:45, anytime after 17:05\n\nThe schedule for Donna Barajas's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 9:39, from 9:47 to 10:27, from 10:31 to 11:21, from 11:26 to 11:46, from 12:06 to 12:26, from 13:12 to 14:52, from 15:43 to 16:03, from 16:09 to 16:29, from 16:42 to 17:02\nTuesday: Free only at the following times: anytime before 9:22, from 10:12 to 10:19, from 12:19 to 12:26, from 13:26 to 14:02, anytime after 15:12\nWednesday: Booked at the following times: from 9:01 to 10:41, from 11:20 to 11:40, from 12:40 to 14:00, from 14:59 to 15:29, from 16:15 to 17:25, from 17:33 to 17:53\nThursday: Booked at the following times: from 12:05 to 14:15, from 14:25 to 15:55\nFriday: Booked at the following times: from 9:28 to 10:08, from 10:12 to 10:52, from 10:58 to 12:18, from 13:11 to 14:31, from 15:02 to 15:32, from 15:34 to 16:44\n\nThe schedule for Peter Carrillo's week in their local time is as follows:\nMonday: Booked at the following times: from 9:39 to 11:19, from 11:52 to 13:02, from 14:57 to 16:47\nTuesday: Booked at the following times: from 9:28 to 11:28, from 11:55 to 14:15\nWednesday: Booked at the following times: from 9:13 to 10:53, from 13:24 to 15:24, from 15:28 to 16:28, from 16:39 to 17:59\nThursday: Booked at the following times: from 11:05 to 13:35, from 14:27 to 15:37, from 15:41 to 17:41\nFriday: Booked at the following times: from 9:46 to 10:46, from 11:48 to 12:28, from 12:51 to 13:31, from 13:53 to 14:33, from 14:52 to 15:42, from 16:09 to 16:39\n\nThe schedule for Carlos Anderson PhD's week in their local time is as follows:\nMonday: Booked at the following times: from 9:13 to 10:43, from 11:34 to 13:34, from 14:50 to 16:00\nTuesday: Free only at the following times: from 11:00 to 11:35, from 12:55 to 15:43, anytime after 17:53\nWednesday: Booked at the following times: from 11:03 to 11:53, from 12:01 to 12:41, from 13:43 to 15:33, from 16:14 to 16:44, from 17:00 to 17:30, from 17:39 to 17:59\nThursday: Booked at the following times: from 9:13 to 10:43, from 12:20 to 13:30, from 14:19 to 15:09, from 15:44 to 17:44\nFriday: Free only at the following times: anytime before 9:26, from 10:26 to 10:42, from 11:12 to 12:02, from 13:32 to 14:01, from 14:21 to 14:47, from 15:47 to 16:43, from 17:13 to 17:18, anytime after 17:48\n\nThe schedule for Jacqueline Guerrero's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 11:43, from 12:38 to 13:28, from 13:46 to 15:26, from 16:13 to 17:23\nTuesday: Booked at the following times: from 9:24 to 9:44, from 10:29 to 11:29, from 11:37 to 12:47, from 14:06 to 15:16, from 15:19 to 16:29, from 16:37 to 17:57\nWednesday: Booked at the following times: from 9:40 to 10:10, from 10:29 to 11:59, from 15:27 to 17:37\nThursday: Booked at the following times: from 10:56 to 12:06, from 12:19 to 13:49, from 14:58 to 15:18, from 15:53 to 17:53\nFriday: Booked at the following times: from 10:41 to 11:31, from 11:43 to 14:03, from 14:50 to 17:10\n\nVictoria Johnson is in a timezone that is 1 hour ahead of other participants\nPeter Carrillo needs a break for lunch on Monday from 11:21 to 11:51\nCarlos Anderson PhD requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Victoria Johnson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[616, 686], [809, 859], [902, 982]], "Tuesday": [[571, 611], [617, 637], [823, 923], [924, 1064]], "Wednesday": [[568, 588], [745, 805], [806, 936], [970, 1010]], "Thursday": [[672, 722], [752, 832], [856, 966], [971, 991]], "Friday": [[570, 630], [630, 740], [755, 795], [867, 897], [900, 970], [1005, 1025]]}, "free_org": {"Monday": [[540, 616], [686, 809], [859, 902], [982, 1080]], "Tuesday": [[540, 571], [611, 617], [637, 823], [923, 924], [1064, 1080]], "Wednesday": [[540, 568], [588, 745], [805, 806], [936, 970], [1010, 1080]], "Thursday": [[540, 672], [722, 752], [832, 856], [966, 971], [991, 1080]], "Friday": [[540, 570], [740, 755], [795, 867], [897, 900], [970, 1005], [1025, 1080]]}, "constraint": ["timezone", 1]}, "Donna Barajas": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 579], [587, 627], [631, 681], [686, 706], [726, 746], [792, 892], [943, 963], [969, 989], [1002, 1022]], "Tuesday": [[562, 612], [619, 639], [639, 739], [746, 806], [842, 912]], "Wednesday": [[541, 641], [680, 700], [760, 840], [899, 929], [975, 1045], [1053, 1073]], "Thursday": [[725, 855], [865, 955]], "Friday": [[568, 608], [612, 652], [658, 738], [791, 871], [902, 932], [934, 1004]]}, "free_org": {"Monday": [[540, 559], [579, 587], [627, 631], [681, 686], [706, 726], [746, 792], [892, 943], [963, 969], [989, 1002], [1022, 1080]], "Tuesday": [[540, 562], [612, 619], [739, 746], [806, 842], [912, 1080]], "Wednesday": [[540, 541], [641, 680], [700, 760], [840, 899], [929, 975], [1045, 1053], [1073, 1080]], "Thursday": [[540, 725], [855, 865], [955, 1080]], "Friday": [[540, 568], [608, 612], [652, 658], [738, 791], [871, 902], [932, 934], [1004, 1080]]}, "constraint": ["none", null]}, "Peter Carrillo": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[579, 679], [712, 782], [897, 1007]], "Tuesday": [[568, 688], [715, 855]], "Wednesday": [[553, 653], [804, 924], [928, 988], [999, 1079]], "Thursday": [[665, 815], [867, 937], [941, 1061]], "Friday": [[586, 646], [708, 748], [771, 811], [833, 873], [892, 942], [969, 999]]}, "free_org": {"Monday": [[540, 579], [679, 712], [782, 897], [1007, 1080]], "Tuesday": [[540, 568], [688, 715], [855, 1080]], "Wednesday": [[540, 553], [653, 804], [924, 928], [988, 999], [1079, 1080]], "Thursday": [[540, 665], [815, 867], [937, 941], [1061, 1080]], "Friday": [[540, 586], [646, 708], [748, 771], [811, 833], [873, 892], [942, 969], [999, 1080]]}, "constraint": ["lunch", ["Monday", [681, 711]]]}, "Carlos Anderson PhD": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[553, 643], [694, 814], [890, 960]], "Tuesday": [[540, 660], [695, 775], [943, 1073]], "Wednesday": [[663, 713], [721, 761], [823, 933], [974, 1004], [1020, 1050], [1059, 1079]], "Thursday": [[553, 643], [740, 810], [859, 909], [944, 1064]], "Friday": [[566, 626], [642, 672], [722, 812], [841, 861], [887, 917], [917, 947], [1003, 1033], [1038, 1068]]}, "free_org": {"Monday": [[540, 553], [643, 694], [814, 890], [960, 1080]], "Tuesday": [[660, 695], [775, 943], [1073, 1080]], "Wednesday": [[540, 663], [713, 721], [761, 823], [933, 974], [1004, 1020], [1050, 1059], [1079, 1080]], "Thursday": [[540, 553], [643, 740], [810, 859], [909, 944], [1064, 1080]], "Friday": [[540, 566], [626, 642], [672, 722], [812, 841], [861, 887], [947, 1003], [1033, 1038], [1068, 1080]]}, "constraint": ["buffer", 10]}, "Jacqueline Guerrero": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 703], [758, 808], [826, 926], [973, 1043]], "Tuesday": [[564, 584], [629, 689], [697, 767], [846, 916], [919, 989], [997, 1077]], "Wednesday": [[580, 610], [629, 719], [927, 1057]], "Thursday": [[656, 726], [739, 829], [898, 918], [953, 1073]], "Friday": [[641, 691], [703, 843], [890, 1030]]}, "free_org": {"Monday": [[540, 573], [703, 758], [808, 826], [926, 973], [1043, 1080]], "Tuesday": [[540, 564], [584, 629], [689, 697], [767, 846], [916, 919], [989, 997], [1077, 1080]], "Wednesday": [[540, 580], [610, 629], [719, 927], [1057, 1080]], "Thursday": [[540, 656], [726, 739], [829, 898], [918, 953], [1073, 1080]], "Friday": [[540, 641], [691, 703], [843, 890], [1030, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 0, "count": 0}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAmanda Meyers, Joel Freeman, Joshua Phelps, Shannon Scott, Yolanda Williams work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Amanda Meyers's week in their local time is as follows:\nMonday: Booked at the following times: from 11:02 to 12:42, from 14:53 to 15:53, from 16:02 to 17:22\nTuesday: Free only at the following times: anytime before 9:24, from 11:04 to 13:43, anytime after 17:33\nWednesday: Booked at the following times: from 9:34 to 11:34, from 11:58 to 13:38, from 13:41 to 16:11\nThursday: Free only at the following times: anytime before 9:39, from 10:39 to 12:09, from 14:39 to 16:20\nFriday: Booked at the following times: from 9:30 to 11:30, from 14:16 to 16:16\n\nThe schedule for Joel Freeman's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 11:19, from 12:09 to 12:23, from 14:33 to 15:41, anytime after 17:01\nTuesday: Booked at the following times: from 10:37 to 12:17, from 12:32 to 13:52, from 14:31 to 16:51\nWednesday: Booked at the following times: from 9:15 to 10:45, from 11:00 to 11:20, from 11:22 to 12:42\nThursday: Booked at the following times: from 9:53 to 11:53, from 14:33 to 15:33, from 16:10 to 17:20\nFriday: Booked at the following times: from 10:45 to 11:15, from 11:48 to 12:18, from 13:31 to 15:41, from 15:50 to 17:20\n\nThe schedule for Joshua Phelps's week in their local time is as follows:\nMonday: Booked at the following times: from 10:15 to 10:55, from 12:01 to 14:11, from 15:07 to 17:07\nTuesday: Booked at the following times: from 9:27 to 10:17, from 11:14 to 12:54, from 13:25 to 15:45, from 16:57 to 17:17\nWednesday: Booked at the following times: from 9:06 to 10:56, from 11:18 to 11:58, from 12:40 to 13:20, from 14:04 to 14:34, from 15:25 to 15:55, from 16:34 to 17:04\nThursday: Booked at the following times: from 9:13 to 11:03, from 11:09 to 11:39, from 12:09 to 12:29, from 13:51 to 15:31, from 15:39 to 16:39\nFriday: Booked at the following times: from 9:34 to 10:34, from 10:48 to 11:18, from 12:28 to 14:18, from 15:22 to 16:12, from 16:40 to 17:40\n\nThe schedule for Shannon Scott's week in their local time is as follows:\nMonday: Booked at the following times: from 11:32 to 12:22, from 12:44 to 14:14, from 15:07 to 16:47, from 17:26 to 17:46\nTuesday: Booked at the following times: from 10:36 to 11:56, from 13:34 to 14:14, from 14:54 to 17:14\nWednesday: Booked at the following times: from 10:28 to 10:48, from 11:42 to 12:02, from 12:21 to 12:51, from 13:44 to 14:14, from 14:56 to 15:46, from 16:02 to 17:22\nThursday: Booked at the following times: from 9:28 to 10:18, from 13:03 to 13:33, from 15:04 to 15:54, from 16:35 to 17:55\nFriday: Booked at the following times: from 10:36 to 11:56, from 12:15 to 12:35, from 14:05 to 14:45, from 14:57 to 16:37\n\nThe schedule for Yolanda Williams's week in their local time is as follows:\nMonday: Booked at the following times: from 11:45 to 13:25, from 14:40 to 17:10\nTuesday: Booked at the following times: from 10:19 to 10:49, from 12:10 to 13:50, from 13:52 to 15:32, from 15:47 to 16:27\nWednesday: Booked at the following times: from 9:38 to 10:08, from 10:52 to 11:42, from 11:57 to 12:17, from 12:45 to 13:45, from 14:23 to 15:23, from 15:29 to 16:29, from 16:30 to 17:20, from 17:28 to 17:58\nThursday: Booked at the following times: from 10:32 to 11:42, from 11:59 to 14:29, from 15:40 to 17:30\nFriday: Free only at the following times: anytime before 10:50, from 11:20 to 11:55, from 13:55 to 14:36, from 15:46 to 15:50\n\nAmanda Meyers requires 10 minutes free before and after the meeting\nJoel Freeman can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nJoshua Phelps is in a timezone that is 2 hours ahead of other participants\nShannon Scott needs a break for lunch on Thursday from 12:08 to 12:38\nYolanda Williams requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Amanda Meyers": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[662, 762], [893, 953], [962, 1042]], "Tuesday": [[564, 664], [823, 973], [973, 1053]], "Wednesday": [[574, 694], [718, 818], [821, 971]], "Thursday": [[579, 639], [729, 879], [980, 1080]], "Friday": [[570, 690], [856, 976]]}, "free_org": {"Monday": [[540, 662], [762, 893], [953, 962], [1042, 1080]], "Tuesday": [[540, 564], [664, 823], [1053, 1080]], "Wednesday": [[540, 574], [694, 718], [818, 821], [971, 1080]], "Thursday": [[540, 579], [639, 729], [879, 980]], "Friday": [[540, 570], [690, 856], [976, 1080]]}, "constraint": ["buffer", 10]}, "Joel Freeman": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[679, 729], [743, 843], [843, 873], [941, 1021]], "Tuesday": [[637, 737], [752, 832], [871, 1011]], "Wednesday": [[555, 645], [660, 680], [682, 762]], "Thursday": [[593, 713], [873, 933], [970, 1040]], "Friday": [[645, 675], [708, 738], [811, 941], [950, 1040]]}, "free_org": {"Monday": [[540, 679], [729, 743], [873, 941], [1021, 1080]], "Tuesday": [[540, 637], [737, 752], [832, 871], [1011, 1080]], "Wednesday": [[540, 555], [645, 660], [680, 682], [762, 1080]], "Thursday": [[540, 593], [713, 873], [933, 970], [1040, 1080]], "Friday": [[540, 645], [675, 708], [738, 811], [941, 950], [1040, 1080]]}, "constraint": ["conflict", 60]}, "Joshua Phelps": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[615, 655], [721, 851], [907, 1027]], "Tuesday": [[567, 617], [674, 774], [805, 945], [1017, 1037]], "Wednesday": [[546, 656], [678, 718], [760, 800], [844, 874], [925, 955], [994, 1024]], "Thursday": [[553, 663], [669, 699], [729, 749], [831, 931], [939, 999]], "Friday": [[574, 634], [648, 678], [748, 858], [922, 972], [1000, 1060]]}, "free_org": {"Monday": [[540, 615], [655, 721], [851, 907], [1027, 1080]], "Tuesday": [[540, 567], [617, 674], [774, 805], [945, 1017], [1037, 1080]], "Wednesday": [[540, 546], [656, 678], [718, 760], [800, 844], [874, 925], [955, 994], [1024, 1080]], "Thursday": [[540, 553], [663, 669], [699, 729], [749, 831], [931, 939], [999, 1080]], "Friday": [[540, 574], [634, 648], [678, 748], [858, 922], [972, 1000], [1060, 1080]]}, "constraint": ["timezone", 2]}, "Shannon Scott": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[692, 742], [764, 854], [907, 1007], [1046, 1066]], "Tuesday": [[636, 716], [814, 854], [894, 1034]], "Wednesday": [[628, 648], [702, 722], [741, 771], [824, 854], [896, 946], [962, 1042]], "Thursday": [[568, 618], [783, 813], [904, 954], [995, 1075]], "Friday": [[636, 716], [735, 755], [845, 885], [897, 997]]}, "free_org": {"Monday": [[540, 692], [742, 764], [854, 907], [1007, 1046], [1066, 1080]], "Tuesday": [[540, 636], [716, 814], [854, 894], [1034, 1080]], "Wednesday": [[540, 628], [648, 702], [722, 741], [771, 824], [854, 896], [946, 962], [1042, 1080]], "Thursday": [[540, 568], [618, 783], [813, 904], [954, 995], [1075, 1080]], "Friday": [[540, 636], [716, 735], [755, 845], [885, 897], [997, 1080]]}, "constraint": ["lunch", ["Thursday", [728, 758]]]}, "Yolanda Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[705, 805], [880, 1030]], "Tuesday": [[619, 649], [730, 830], [832, 932], [947, 987]], "Wednesday": [[578, 608], [652, 702], [717, 737], [765, 825], [863, 923], [929, 989], [990, 1040], [1048, 1078]], "Thursday": [[632, 702], [719, 869], [940, 1050]], "Friday": [[650, 680], [715, 835], [876, 946], [950, 1080]]}, "free_org": {"Monday": [[540, 705], [805, 880], [1030, 1080]], "Tuesday": [[540, 619], [649, 730], [830, 832], [932, 947], [987, 1080]], "Wednesday": [[540, 578], [608, 652], [702, 717], [737, 765], [825, 863], [923, 929], [989, 990], [1040, 1048], [1078, 1080]], "Thursday": [[540, 632], [702, 719], [869, 940], [1050, 1080]], "Friday": [[540, 650], [680, 715], [835, 876], [946, 950]]}, "constraint": ["buffer", 15]}}, "solution": {"max_duration": 46, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRobin Brown, Cassie Molina, Christopher Duarte, Chris Owen, Joshua Cook work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Robin Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:44 to 10:34, from 10:54 to 11:14, from 11:29 to 12:39, from 13:16 to 14:26, from 14:36 to 15:06, from 15:15 to 15:35, from 15:44 to 16:34, from 16:40 to 17:20\nTuesday: Booked at the following times: from 9:38 to 10:38, from 10:39 to 11:39, from 11:43 to 12:03, from 12:16 to 12:46, from 14:01 to 14:21, from 14:33 to 15:03\nWednesday: Booked at the following times: from 9:20 to 9:40, from 10:14 to 11:24, from 14:32 to 16:32\nThursday: Booked at the following times: from 10:07 to 10:57, from 12:54 to 13:34, from 14:23 to 15:23, from 15:25 to 16:45\nFriday: Booked at the following times: from 10:00 to 10:50, from 11:00 to 13:00, from 14:49 to 17:09\n\nThe schedule for Cassie Molina's week in their local time is as follows:\nMonday: Booked at the following times: from 9:23 to 9:43, from 10:17 to 12:17, from 12:55 to 13:15, from 13:40 to 15:50, from 16:54 to 17:24\nTuesday: Booked at the following times: from 9:11 to 10:21, from 10:43 to 12:33, from 12:45 to 13:55, from 14:43 to 16:33, from 17:07 to 17:27\nWednesday: Booked at the following times: from 9:22 to 9:42, from 10:28 to 11:18, from 11:26 to 13:26, from 13:43 to 15:23, from 16:37 to 17:17\nThursday: Booked at the following times: from 9:02 to 9:42, from 9:46 to 11:16, from 12:41 to 13:11, from 13:53 to 14:13, from 14:31 to 15:21, from 15:54 to 16:44\nFriday: Booked at the following times: from 11:27 to 13:17, from 15:15 to 17:15\n\nThe schedule for Christopher Duarte's week in their local time is as follows:\nMonday: Booked at the following times: from 9:12 to 11:42, from 13:25 to 14:15, from 15:44 to 16:04\nTuesday: Booked at the following times: from 9:25 to 10:45, from 11:38 to 13:48, from 14:45 to 15:25, from 16:28 to 16:48, from 16:49 to 17:49\nWednesday: Booked at the following times: from 11:04 to 12:34, from 13:18 to 14:38\nThursday: Booked at the following times: from 10:08 to 11:18, from 12:01 to 12:41, from 15:01 to 17:31\nFriday: Booked at the following times: from 9:03 to 10:33, from 11:29 to 12:19, from 13:36 to 14:46, from 16:05 to 17:05, from 17:18 to 17:38\n\nThe schedule for Chris Owen's week in their local time is as follows:\nMonday: Booked at the following times: from 9:21 to 9:41, from 11:54 to 14:14, from 14:31 to 15:21, from 15:43 to 17:43\nTuesday: Booked at the following times: from 9:20 to 9:50, from 11:05 to 12:55, from 13:15 to 14:35, from 15:24 to 17:34\nWednesday: Booked at the following times: from 9:24 to 11:04, from 11:50 to 12:40, from 12:50 to 13:40, from 14:54 to 15:34, from 16:39 to 17:59\nThursday: Booked at the following times: from 9:34 to 10:04, from 10:13 to 10:53, from 11:27 to 12:07, from 12:36 to 12:56, from 13:19 to 14:09, from 14:18 to 14:38, from 14:51 to 15:21, from 15:37 to 16:37, from 17:33 to 17:53\nFriday: Booked at the following times: from 9:37 to 12:07, from 13:25 to 14:15, from 14:34 to 15:34\n\nThe schedule for Joshua Cook's week in their local time is as follows:\nMonday: Free only at the following times: from 11:10 to 12:25, from 13:25 to 14:01, anytime after 16:11\nTuesday: Booked at the following times: from 9:48 to 11:18, from 11:27 to 12:17, from 13:43 to 14:33, from 15:43 to 16:33\nWednesday: Booked at the following times: from 9:40 to 11:20, from 15:46 to 17:26\nThursday: Booked at the following times: from 9:09 to 9:39, from 12:17 to 13:47, from 13:53 to 14:43, from 15:07 to 17:37\nFriday: Booked at the following times: from 9:24 to 10:14, from 10:39 to 11:49, from 11:53 to 13:13, from 13:52 to 14:42, from 15:00 to 16:40\n\nRobin Brown needs a break for lunch on Friday from 13:00 to 13:30\nCassie Molina is in a timezone that is 1 hour behind of other participants\nChristopher Duarte needs a break for lunch on Thursday from 11:20 to 11:50\nChris Owen requires 5 minutes free before and after the meeting\nJoshua Cook needs a break for lunch on Wednesday from 11:47 to 12:17\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Robin Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[584, 634], [654, 674], [689, 759], [796, 866], [876, 906], [915, 935], [944, 994], [1000, 1040]], "Tuesday": [[578, 638], [639, 699], [703, 723], [736, 766], [841, 861], [873, 903]], "Wednesday": [[560, 580], [614, 684], [872, 992]], "Thursday": [[607, 657], [774, 814], [863, 923], [925, 1005]], "Friday": [[600, 650], [660, 780], [889, 1029]]}, "free_org": {"Monday": [[540, 584], [634, 654], [674, 689], [759, 796], [866, 876], [906, 915], [935, 944], [994, 1000], [1040, 1080]], "Tuesday": [[540, 578], [638, 639], [699, 703], [723, 736], [766, 841], [861, 873], [903, 1080]], "Wednesday": [[540, 560], [580, 614], [684, 872], [992, 1080]], "Thursday": [[540, 607], [657, 774], [814, 863], [923, 925], [1005, 1080]], "Friday": [[540, 600], [650, 660], [780, 889], [1029, 1080]]}, "constraint": ["lunch", ["Friday", [780, 810]]]}, "Cassie Molina": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 583], [617, 737], [775, 795], [820, 950], [1014, 1044]], "Tuesday": [[551, 621], [643, 753], [765, 835], [883, 993], [1027, 1047]], "Wednesday": [[562, 582], [628, 678], [686, 806], [823, 923], [997, 1037]], "Thursday": [[542, 582], [586, 676], [761, 791], [833, 853], [871, 921], [954, 1004]], "Friday": [[687, 797], [915, 1035]]}, "free_org": {"Monday": [[540, 563], [583, 617], [737, 775], [795, 820], [950, 1014], [1044, 1080]], "Tuesday": [[540, 551], [621, 643], [753, 765], [835, 883], [993, 1027], [1047, 1080]], "Wednesday": [[540, 562], [582, 628], [678, 686], [806, 823], [923, 997], [1037, 1080]], "Thursday": [[540, 542], [582, 586], [676, 761], [791, 833], [853, 871], [921, 954], [1004, 1080]], "Friday": [[540, 687], [797, 915], [1035, 1080]]}, "constraint": ["timezone", -1]}, "Christopher Duarte": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[552, 702], [805, 855], [944, 964]], "Tuesday": [[565, 645], [698, 828], [885, 925], [988, 1008], [1009, 1069]], "Wednesday": [[664, 754], [798, 878]], "Thursday": [[608, 678], [721, 761], [901, 1051]], "Friday": [[543, 633], [689, 739], [816, 886], [965, 1025], [1038, 1058]]}, "free_org": {"Monday": [[540, 552], [702, 805], [855, 944], [964, 1080]], "Tuesday": [[540, 565], [645, 698], [828, 885], [925, 988], [1008, 1009], [1069, 1080]], "Wednesday": [[540, 664], [754, 798], [878, 1080]], "Thursday": [[540, 608], [678, 721], [761, 901], [1051, 1080]], "Friday": [[540, 543], [633, 689], [739, 816], [886, 965], [1025, 1038], [1058, 1080]]}, "constraint": ["lunch", ["Thursday", [680, 710]]]}, "Chris Owen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[561, 581], [714, 854], [871, 921], [943, 1063]], "Tuesday": [[560, 590], [665, 775], [795, 875], [924, 1054]], "Wednesday": [[564, 664], [710, 760], [770, 820], [894, 934], [999, 1079]], "Thursday": [[574, 604], [613, 653], [687, 727], [756, 776], [799, 849], [858, 878], [891, 921], [937, 997], [1053, 1073]], "Friday": [[577, 727], [805, 855], [874, 934]]}, "free_org": {"Monday": [[540, 561], [581, 714], [854, 871], [921, 943], [1063, 1080]], "Tuesday": [[540, 560], [590, 665], [775, 795], [875, 924], [1054, 1080]], "Wednesday": [[540, 564], [664, 710], [760, 770], [820, 894], [934, 999], [1079, 1080]], "Thursday": [[540, 574], [604, 613], [653, 687], [727, 756], [776, 799], [849, 858], [878, 891], [921, 937], [997, 1053], [1073, 1080]], "Friday": [[540, 577], [727, 805], [855, 874], [934, 1080]]}, "constraint": ["buffer", 5]}, "Joshua Cook": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 670], [745, 805], [841, 971]], "Tuesday": [[588, 678], [687, 737], [823, 873], [943, 993]], "Wednesday": [[580, 680], [946, 1046]], "Thursday": [[549, 579], [737, 827], [833, 883], [907, 1057]], "Friday": [[564, 614], [639, 709], [713, 793], [832, 882], [900, 1000]]}, "free_org": {"Monday": [[670, 745], [805, 841], [971, 1080]], "Tuesday": [[540, 588], [678, 687], [737, 823], [873, 943], [993, 1080]], "Wednesday": [[540, 580], [680, 946], [1046, 1080]], "Thursday": [[540, 549], [579, 737], [827, 833], [883, 907], [1057, 1080]], "Friday": [[540, 564], [614, 639], [709, 713], [793, 832], [882, 900], [1000, 1080]]}, "constraint": ["lunch", ["Wednesday", [707, 737]]]}}, "solution": {"max_duration": 6, "count": 2}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAshley Miles, John Palmer, John Brown, Paul Davis, Chelsey Moreno work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ashley Miles's week in their local time is as follows:\nMonday: Booked at the following times: from 9:05 to 9:25, from 9:33 to 10:23, from 11:21 to 12:41, from 13:51 to 15:31, from 16:38 to 17:58\nTuesday: Booked at the following times: from 10:17 to 11:27, from 11:56 to 12:46, from 14:26 to 15:16, from 17:03 to 17:53\nWednesday: Booked at the following times: from 10:11 to 12:21, from 14:43 to 16:13, from 16:42 to 17:42\nThursday: Booked at the following times: from 10:43 to 11:23, from 11:26 to 12:56, from 13:01 to 15:31\nFriday: Booked at the following times: from 9:26 to 9:46, from 9:51 to 10:31, from 11:22 to 13:02, from 13:50 to 15:40, from 16:06 to 16:56\n\nThe schedule for John Palmer's week in their local time is as follows:\nMonday: Booked at the following times: from 9:44 to 11:14, from 11:43 to 12:33, from 13:37 to 15:07, from 15:39 to 15:59, from 16:16 to 16:56, from 17:21 to 17:41\nTuesday: Booked at the following times: from 9:05 to 10:25, from 11:04 to 11:54, from 13:04 to 13:34, from 13:44 to 15:04, from 15:27 to 16:57\nWednesday: Booked at the following times: from 9:27 to 11:17, from 11:37 to 12:57, from 13:25 to 13:45, from 14:13 to 14:43, from 16:17 to 17:37\nThursday: Booked at the following times: from 10:37 to 11:07, from 13:05 to 15:05, from 15:13 to 17:23\nFriday: Booked at the following times: from 9:22 to 9:52, from 9:54 to 10:34, from 11:53 to 13:43, from 15:01 to 15:31, from 16:11 to 16:51\n\nThe schedule for John Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:32 to 10:12, from 11:12 to 11:32, from 11:48 to 12:18, from 12:21 to 12:41, from 12:56 to 13:26, from 14:08 to 14:28, from 15:03 to 16:13, from 16:27 to 17:07, from 17:27 to 17:47\nTuesday: Booked at the following times: from 9:06 to 11:36, from 12:39 to 14:09\nWednesday: Booked at the following times: from 11:32 to 13:52, from 14:22 to 15:42\nThursday: Booked at the following times: from 9:14 to 9:44, from 9:57 to 10:47, from 11:06 to 11:36, from 12:25 to 13:55, from 14:04 to 15:24, from 16:38 to 17:58\nFriday: Booked at the following times: from 9:30 to 10:30, from 10:37 to 11:47, from 16:11 to 17:41\n\nThe schedule for Paul Davis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:21 to 10:21, from 10:23 to 11:03, from 11:29 to 12:39, from 12:58 to 13:58, from 15:33 to 17:03\nTuesday: Booked at the following times: from 9:15 to 10:35, from 11:23 to 12:23, from 12:39 to 13:29, from 14:43 to 15:33, from 17:05 to 17:25\nWednesday: Free only at the following times: anytime before 10:02, from 11:42 to 12:47, from 13:17 to 15:21, anytime after 17:31\nThursday: Booked at the following times: from 9:07 to 10:37, from 12:01 to 13:21, from 13:41 to 14:21\nFriday: Booked at the following times: from 10:48 to 11:58, from 14:30 to 17:00\n\nThe schedule for Chelsey Moreno's week in their local time is as follows:\nMonday: Booked at the following times: from 9:24 to 11:34, from 12:22 to 14:22, from 16:23 to 17:13\nTuesday: Booked at the following times: from 10:47 to 12:47, from 13:10 to 14:10, from 15:40 to 16:40\nWednesday: Booked at the following times: from 9:31 to 10:41, from 11:36 to 13:26, from 15:52 to 16:42\nThursday: Booked at the following times: from 9:04 to 11:34, from 12:13 to 13:03, from 14:57 to 16:07\nFriday: Booked at the following times: from 9:50 to 12:10, from 12:19 to 12:59, from 15:31 to 16:01, from 16:32 to 17:12\n\nJohn Palmer can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJohn Brown requires 15 minutes free before and after the meeting\nPaul Davis is in a timezone that is 2 hours ahead of other participants\nChelsey Moreno needs a break for lunch on Thursday from 11:43 to 12:13\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ashley Miles": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[545, 565], [573, 623], [681, 761], [831, 931], [998, 1078]], "Tuesday": [[617, 687], [716, 766], [866, 916], [1023, 1073]], "Wednesday": [[611, 741], [883, 973], [1002, 1062]], "Thursday": [[643, 683], [686, 776], [781, 931]], "Friday": [[566, 586], [591, 631], [682, 782], [830, 940], [966, 1016]]}, "free_org": {"Monday": [[540, 545], [565, 573], [623, 681], [761, 831], [931, 998], [1078, 1080]], "Tuesday": [[540, 617], [687, 716], [766, 866], [916, 1023], [1073, 1080]], "Wednesday": [[540, 611], [741, 883], [973, 1002], [1062, 1080]], "Thursday": [[540, 643], [683, 686], [776, 781], [931, 1080]], "Friday": [[540, 566], [586, 591], [631, 682], [782, 830], [940, 966], [1016, 1080]]}, "constraint": ["none", null]}, "John Palmer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[584, 674], [703, 753], [817, 907], [939, 959], [976, 1016], [1041, 1061]], "Tuesday": [[545, 625], [664, 714], [784, 814], [824, 904], [927, 1017]], "Wednesday": [[567, 677], [697, 777], [805, 825], [853, 883], [977, 1057]], "Thursday": [[637, 667], [785, 905], [913, 1043]], "Friday": [[562, 592], [594, 634], [713, 823], [901, 931], [971, 1011]]}, "free_org": {"Monday": [[540, 584], [674, 703], [753, 817], [907, 939], [959, 976], [1016, 1041], [1061, 1080]], "Tuesday": [[540, 545], [625, 664], [714, 784], [814, 824], [904, 927], [1017, 1080]], "Wednesday": [[540, 567], [677, 697], [777, 805], [825, 853], [883, 977], [1057, 1080]], "Thursday": [[540, 637], [667, 785], [905, 913], [1043, 1080]], "Friday": [[540, 562], [592, 594], [634, 713], [823, 901], [931, 971], [1011, 1080]]}, "constraint": ["conflict", 20]}, "John Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[572, 612], [672, 692], [708, 738], [741, 761], [776, 806], [848, 868], [903, 973], [987, 1027], [1047, 1067]], "Tuesday": [[546, 696], [759, 849]], "Wednesday": [[692, 832], [862, 942]], "Thursday": [[554, 584], [597, 647], [666, 696], [745, 835], [844, 924], [998, 1078]], "Friday": [[570, 630], [637, 707], [971, 1061]]}, "free_org": {"Monday": [[540, 572], [612, 672], [692, 708], [738, 741], [761, 776], [806, 848], [868, 903], [973, 987], [1027, 1047], [1067, 1080]], "Tuesday": [[540, 546], [696, 759], [849, 1080]], "Wednesday": [[540, 692], [832, 862], [942, 1080]], "Thursday": [[540, 554], [584, 597], [647, 666], [696, 745], [835, 844], [924, 998], [1078, 1080]], "Friday": [[540, 570], [630, 637], [707, 971], [1061, 1080]]}, "constraint": ["buffer", 15]}, "Paul Davis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[561, 621], [623, 663], [689, 759], [778, 838], [933, 1023]], "Tuesday": [[555, 635], [683, 743], [759, 809], [883, 933], [1025, 1045]], "Wednesday": [[602, 632], [632, 702], [767, 797], [921, 1051]], "Thursday": [[547, 637], [721, 801], [821, 861]], "Friday": [[648, 718], [870, 1020]]}, "free_org": {"Monday": [[540, 561], [621, 623], [663, 689], [759, 778], [838, 933], [1023, 1080]], "Tuesday": [[540, 555], [635, 683], [743, 759], [809, 883], [933, 1025], [1045, 1080]], "Wednesday": [[540, 602], [702, 767], [797, 921], [1051, 1080]], "Thursday": [[540, 547], [637, 721], [801, 821], [861, 1080]], "Friday": [[540, 648], [718, 870], [1020, 1080]]}, "constraint": ["timezone", 2]}, "Chelsey Moreno": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[564, 694], [742, 862], [983, 1033]], "Tuesday": [[647, 767], [790, 850], [940, 1000]], "Wednesday": [[571, 641], [696, 806], [952, 1002]], "Thursday": [[544, 694], [733, 783], [897, 967]], "Friday": [[590, 730], [739, 779], [931, 961], [992, 1032]]}, "free_org": {"Monday": [[540, 564], [694, 742], [862, 983], [1033, 1080]], "Tuesday": [[540, 647], [767, 790], [850, 940], [1000, 1080]], "Wednesday": [[540, 571], [641, 696], [806, 952], [1002, 1080]], "Thursday": [[540, 544], [694, 733], [783, 897], [967, 1080]], "Friday": [[540, 590], [730, 739], [779, 931], [961, 992], [1032, 1080]]}, "constraint": ["lunch", ["Thursday", [703, 733]]]}}, "solution": {"max_duration": 2, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAngela Sullivan, Jessica Davis, Lorraine Lopez, Thomas Hicks work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Angela Sullivan's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 11:44, from 12:21 to 12:51, from 15:38 to 16:58\nTuesday: Booked at the following times: from 9:50 to 11:00, from 11:51 to 12:21, from 13:53 to 15:33, from 16:07 to 17:57\nWednesday: Free only at the following times: anytime before 9:15, from 10:25 to 12:56, from 14:16 to 14:41, from 16:21 to 16:43, anytime after 17:23\nThursday: Booked at the following times: from 11:10 to 11:40, from 11:56 to 13:36, from 13:44 to 14:04, from 15:46 to 16:56\nFriday: Free only at the following times: anytime before 9:51, from 10:11 to 10:35, from 11:45 to 11:52, from 12:32 to 14:12, from 14:52 to 14:54, from 16:14 to 16:46, anytime after 17:26\n\nThe schedule for Jessica Davis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:23 to 10:53, from 11:43 to 12:33, from 12:51 to 13:11, from 15:44 to 17:04, from 17:15 to 17:35\nTuesday: Booked at the following times: from 9:20 to 10:00, from 12:12 to 12:42, from 12:51 to 15:01\nWednesday: Booked at the following times: from 9:05 to 10:55, from 12:16 to 12:46, from 13:46 to 14:26, from 15:00 to 16:50\nThursday: Booked at the following times: from 9:38 to 10:38, from 11:55 to 12:45, from 14:22 to 16:22\nFriday: Booked at the following times: from 9:23 to 11:13, from 12:42 to 15:02, from 15:36 to 16:46\n\nThe schedule for Lorraine Lopez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:57 to 11:47, from 14:24 to 15:54, from 17:39 to 17:59\nTuesday: Booked at the following times: from 10:47 to 11:47, from 14:20 to 15:40, from 15:51 to 17:41\nWednesday: Booked at the following times: from 9:38 to 11:48, from 13:03 to 14:23\nThursday: Booked at the following times: from 9:23 to 10:43, from 11:03 to 11:33, from 11:45 to 13:25, from 14:14 to 14:34, from 14:39 to 15:09, from 16:04 to 17:34\nFriday: Free only at the following times: from 11:00 to 13:37, anytime after 16:07\n\nThe schedule for Thomas Hicks's week in their local time is as follows:\nMonday: Booked at the following times: from 10:17 to 12:27, from 12:47 to 14:37, from 14:44 to 15:34, from 16:01 to 16:51\nTuesday: Booked at the following times: from 9:51 to 10:41, from 11:05 to 12:25, from 13:33 to 14:33, from 16:08 to 17:08, from 17:09 to 17:59\nWednesday: Booked at the following times: from 11:56 to 13:06, from 13:47 to 14:37, from 14:52 to 17:22\nThursday: Booked at the following times: from 9:13 to 10:53, from 13:01 to 13:21, from 13:55 to 16:05\nFriday: Free only at the following times: anytime before 9:04, from 9:54 to 10:24, from 10:44 to 11:34, from 12:34 to 12:37, from 14:07 to 14:49, from 16:09 to 16:39, anytime after 17:19\n\nAngela Sullivan is in a timezone that is 1 hour behind of other participants\nThomas Hicks requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Angela Sullivan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 704], [741, 771], [938, 1018]], "Tuesday": [[590, 660], [711, 741], [833, 933], [967, 1077]], "Wednesday": [[555, 625], [776, 856], [881, 931], [931, 981], [1003, 1043]], "Thursday": [[670, 700], [716, 816], [824, 844], [946, 1016]], "Friday": [[591, 611], [635, 665], [665, 705], [712, 752], [852, 892], [894, 974], [1006, 1046]]}, "free_org": {"Monday": [[540, 574], [704, 741], [771, 938], [1018, 1080]], "Tuesday": [[540, 590], [660, 711], [741, 833], [933, 967], [1077, 1080]], "Wednesday": [[540, 555], [625, 776], [856, 881], [981, 1003], [1043, 1080]], "Thursday": [[540, 670], [700, 716], [816, 824], [844, 946], [1016, 1080]], "Friday": [[540, 591], [611, 635], [705, 712], [752, 852], [892, 894], [974, 1006], [1046, 1080]]}, "constraint": ["timezone", -1]}, "Jessica Davis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 653], [703, 753], [771, 791], [944, 1024], [1035, 1055]], "Tuesday": [[560, 600], [732, 762], [771, 901]], "Wednesday": [[545, 655], [736, 766], [826, 866], [900, 1010]], "Thursday": [[578, 638], [715, 765], [862, 982]], "Friday": [[563, 673], [762, 902], [936, 1006]]}, "free_org": {"Monday": [[540, 563], [653, 703], [753, 771], [791, 944], [1024, 1035], [1055, 1080]], "Tuesday": [[540, 560], [600, 732], [762, 771], [901, 1080]], "Wednesday": [[540, 545], [655, 736], [766, 826], [866, 900], [1010, 1080]], "Thursday": [[540, 578], [638, 715], [765, 862], [982, 1080]], "Friday": [[540, 563], [673, 762], [902, 936], [1006, 1080]]}, "constraint": ["none", null]}, "Lorraine Lopez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[597, 707], [864, 954], [1059, 1079]], "Tuesday": [[647, 707], [860, 940], [951, 1061]], "Wednesday": [[578, 708], [783, 863]], "Thursday": [[563, 643], [663, 693], [705, 805], [854, 874], [879, 909], [964, 1054]], "Friday": [[540, 660], [817, 967]]}, "free_org": {"Monday": [[540, 597], [707, 864], [954, 1059], [1079, 1080]], "Tuesday": [[540, 647], [707, 860], [940, 951], [1061, 1080]], "Wednesday": [[540, 578], [708, 783], [863, 1080]], "Thursday": [[540, 563], [643, 663], [693, 705], [805, 854], [874, 879], [909, 964], [1054, 1080]], "Friday": [[660, 817], [967, 1080]]}, "constraint": ["none", null]}, "Thomas Hicks": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[617, 747], [767, 877], [884, 934], [961, 1011]], "Tuesday": [[591, 641], [665, 745], [813, 873], [968, 1028], [1029, 1079]], "Wednesday": [[716, 786], [827, 877], [892, 1042]], "Thursday": [[553, 653], [781, 801], [835, 965]], "Friday": [[544, 594], [624, 644], [694, 754], [757, 797], [797, 847], [889, 969], [999, 1039]]}, "free_org": {"Monday": [[540, 617], [747, 767], [877, 884], [934, 961], [1011, 1080]], "Tuesday": [[540, 591], [641, 665], [745, 813], [873, 968], [1028, 1029], [1079, 1080]], "Wednesday": [[540, 716], [786, 827], [877, 892], [1042, 1080]], "Thursday": [[540, 553], [653, 781], [801, 835], [965, 1080]], "Friday": [[540, 544], [594, 624], [644, 694], [754, 757], [847, 889], [969, 999], [1039, 1080]]}, "constraint": ["buffer", 10]}}, "solution": {"max_duration": 17, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRose Miller, Emily Maldonado, Robin Craig work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Rose Miller's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 12:38, from 13:48 to 15:30\nTuesday: Booked at the following times: from 11:18 to 13:38, from 14:17 to 16:47\nWednesday: Booked at the following times: from 10:41 to 12:21, from 14:21 to 15:11, from 15:20 to 16:30, from 16:37 to 16:57\nThursday: Free only at the following times: anytime before 9:33, from 12:13 to 12:59, from 13:49 to 14:49, from 15:29 to 15:57, anytime after 17:07\nFriday: Booked at the following times: from 9:44 to 11:34, from 12:59 to 13:39, from 14:02 to 14:32, from 16:44 to 17:34\n\nThe schedule for Emily Maldonado's week in their local time is as follows:\nMonday: Booked at the following times: from 10:12 to 12:42, from 12:58 to 13:18, from 13:26 to 13:46, from 13:55 to 14:15, from 14:50 to 15:20, from 15:26 to 16:26\nTuesday: Booked at the following times: from 9:40 to 10:20, from 11:26 to 12:16, from 15:24 to 15:44, from 16:07 to 16:37, from 16:49 to 17:59\nWednesday: Free only at the following times: anytime before 9:12, from 10:52 to 12:19, from 12:49 to 13:05, from 13:45 to 14:16, from 14:36 to 15:29, from 15:49 to 16:11, anytime after 17:51\nThursday: Booked at the following times: from 9:38 to 11:48, from 12:12 to 12:52, from 13:08 to 15:28\nFriday: Booked at the following times: from 9:13 to 10:13, from 10:31 to 10:51, from 11:12 to 13:42, from 14:45 to 15:25\n\nThe schedule for Robin Craig's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 12:10, from 13:13 to 15:13\nTuesday: Free only at the following times: anytime before 9:25, from 11:35 to 12:37, from 12:57 to 13:20, from 16:30 to 16:43, anytime after 17:03\nWednesday: Free only at the following times: anytime before 9:35, from 9:55 to 10:27, from 12:27 to 12:38, from 13:28 to 14:15, from 15:35 to 15:53, anytime after 16:23\nThursday: Booked at the following times: from 9:51 to 12:11, from 13:17 to 15:27\nFriday: Booked at the following times: from 10:16 to 12:06, from 12:43 to 13:23, from 13:34 to 14:34, from 15:04 to 15:34, from 15:35 to 15:55, from 16:24 to 16:44, from 17:33 to 17:53\n\nRose Miller requires 15 minutes free before and after the meeting\nEmily Maldonado can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nRobin Craig needs a break for lunch on Monday from 12:23 to 12:53\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Rose Miller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[758, 828], [930, 1080]], "Tuesday": [[678, 818], [857, 1007]], "Wednesday": [[641, 741], [861, 911], [920, 990], [997, 1017]], "Thursday": [[573, 633], [633, 733], [779, 829], [889, 929], [957, 1027]], "Friday": [[584, 694], [779, 819], [842, 872], [1004, 1054]]}, "free_org": {"Monday": [[540, 758], [828, 930]], "Tuesday": [[540, 678], [818, 857], [1007, 1080]], "Wednesday": [[540, 641], [741, 861], [911, 920], [990, 997], [1017, 1080]], "Thursday": [[540, 573], [733, 779], [829, 889], [929, 957], [1027, 1080]], "Friday": [[540, 584], [694, 779], [819, 842], [872, 1004], [1054, 1080]]}, "constraint": ["buffer", 15]}, "Emily Maldonado": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[612, 762], [778, 798], [806, 826], [835, 855], [890, 920], [926, 986]], "Tuesday": [[580, 620], [686, 736], [924, 944], [967, 997], [1009, 1079]], "Wednesday": [[552, 622], [622, 652], [739, 769], [785, 825], [856, 876], [929, 949], [971, 1071]], "Thursday": [[578, 708], [732, 772], [788, 928]], "Friday": [[553, 613], [631, 651], [672, 822], [885, 925]]}, "free_org": {"Monday": [[540, 612], [762, 778], [798, 806], [826, 835], [855, 890], [920, 926], [986, 1080]], "Tuesday": [[540, 580], [620, 686], [736, 924], [944, 967], [997, 1009], [1079, 1080]], "Wednesday": [[540, 552], [652, 739], [769, 785], [825, 856], [876, 929], [949, 971], [1071, 1080]], "Thursday": [[540, 578], [708, 732], [772, 788], [928, 1080]], "Friday": [[540, 553], [613, 631], [651, 672], [822, 885], [925, 1080]]}, "constraint": ["conflict", 20]}, "Robin Craig": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 730], [793, 913]], "Tuesday": [[565, 695], [757, 777], [800, 850], [850, 990], [1003, 1023]], "Wednesday": [[575, 595], [627, 747], [758, 808], [855, 885], [885, 935], [953, 983]], "Thursday": [[591, 731], [797, 927]], "Friday": [[616, 726], [763, 803], [814, 874], [904, 934], [935, 955], [984, 1004], [1053, 1073]]}, "free_org": {"Monday": [[540, 610], [730, 793], [913, 1080]], "Tuesday": [[540, 565], [695, 757], [777, 800], [990, 1003], [1023, 1080]], "Wednesday": [[540, 575], [595, 627], [747, 758], [808, 855], [935, 953], [983, 1080]], "Thursday": [[540, 591], [731, 797], [927, 1080]], "Friday": [[540, 616], [726, 763], [803, 814], [874, 904], [934, 935], [955, 984], [1004, 1053], [1073, 1080]]}, "constraint": ["lunch", ["Monday", [743, 773]]]}}, "solution": {"max_duration": 55, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAshley Ross, Jessica Gutierrez, Traci Peterson, Ryan Bailey, Tiffany Bailey work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ashley Ross's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 11:03, from 15:03 to 15:57, anytime after 17:27\nTuesday: Booked at the following times: from 9:24 to 9:44, from 9:52 to 10:22, from 11:08 to 13:28, from 13:39 to 14:09, from 14:48 to 15:08, from 16:04 to 17:24\nWednesday: Booked at the following times: from 9:32 to 10:22, from 11:01 to 12:31, from 12:38 to 15:08\nThursday: Booked at the following times: from 9:59 to 11:49, from 11:54 to 12:44, from 13:41 to 14:31, from 14:57 to 15:37, from 16:55 to 17:15\nFriday: Booked at the following times: from 11:23 to 13:53, from 14:11 to 16:01\n\nThe schedule for Jessica Gutierrez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:17 to 10:47, from 11:00 to 13:00, from 14:14 to 14:54, from 15:49 to 16:39\nTuesday: Booked at the following times: from 11:42 to 13:42, from 15:13 to 17:03, from 17:04 to 17:54\nWednesday: Booked at the following times: from 9:19 to 11:19, from 12:27 to 13:27, from 13:52 to 15:32, from 15:35 to 16:35\nThursday: Booked at the following times: from 10:15 to 11:55, from 12:07 to 14:07, from 14:08 to 14:28, from 14:34 to 16:04, from 16:10 to 16:50\nFriday: Booked at the following times: from 9:26 to 10:36, from 13:56 to 15:36, from 16:09 to 17:29\n\nThe schedule for Traci Peterson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:14 to 13:14, from 14:30 to 16:40\nTuesday: Booked at the following times: from 9:17 to 9:37, from 11:19 to 12:09, from 12:10 to 12:50, from 14:24 to 14:54, from 14:55 to 17:15\nWednesday: Booked at the following times: from 10:26 to 12:46, from 14:49 to 16:09\nThursday: Booked at the following times: from 9:06 to 10:46, from 10:53 to 12:03, from 12:05 to 12:25, from 14:50 to 17:10\nFriday: Free only at the following times: anytime before 9:13, from 9:53 to 10:00, from 12:50 to 14:49, anytime after 15:19\n\nThe schedule for Ryan Bailey's week in their local time is as follows:\nMonday: Booked at the following times: from 9:35 to 11:35, from 13:24 to 14:34, from 15:49 to 17:39\nTuesday: Booked at the following times: from 10:06 to 11:16, from 11:39 to 12:29, from 13:32 to 14:52, from 15:48 to 16:18, from 16:21 to 17:01, from 17:10 to 17:50\nWednesday: Booked at the following times: from 9:01 to 10:01, from 10:30 to 10:50, from 11:15 to 12:05, from 13:04 to 14:04, from 14:14 to 15:34, from 16:29 to 16:59\nThursday: Booked at the following times: from 10:25 to 11:45, from 12:10 to 13:30, from 13:38 to 14:08, from 14:50 to 17:20\nFriday: Booked at the following times: from 10:02 to 11:02, from 11:27 to 12:07, from 12:25 to 12:45, from 12:51 to 13:11, from 13:26 to 15:16, from 16:14 to 17:54\n\nThe schedule for Tiffany Bailey's week in their local time is as follows:\nMonday: Booked at the following times: from 9:44 to 12:14, from 12:35 to 14:35, from 14:45 to 17:05\nTuesday: Free only at the following times: anytime before 10:33, from 11:33 to 11:46, from 12:06 to 12:15, from 13:55 to 14:04, from 15:04 to 15:26, anytime after 16:46\nWednesday: Booked at the following times: from 9:06 to 10:16, from 10:17 to 11:17, from 12:33 to 13:33, from 13:43 to 16:03\nThursday: Booked at the following times: from 10:09 to 11:19, from 12:32 to 12:52, from 14:23 to 16:53\nFriday: Booked at the following times: from 9:41 to 10:01, from 10:23 to 11:03, from 12:27 to 14:47, from 15:27 to 16:27, from 16:39 to 17:39\n\nAshley Ross can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJessica Gutierrez can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nTraci Peterson requires 10 minutes free before and after the meeting\nRyan Bailey needs a break for lunch on Monday from 12:36 to 13:06\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ashley Ross": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[663, 803], [803, 903], [957, 1047]], "Tuesday": [[564, 584], [592, 622], [668, 808], [819, 849], [888, 908], [964, 1044]], "Wednesday": [[572, 622], [661, 751], [758, 908]], "Thursday": [[599, 709], [714, 764], [821, 871], [897, 937], [1015, 1035]], "Friday": [[683, 833], [851, 961]]}, "free_org": {"Monday": [[540, 663], [903, 957], [1047, 1080]], "Tuesday": [[540, 564], [584, 592], [622, 668], [808, 819], [849, 888], [908, 964], [1044, 1080]], "Wednesday": [[540, 572], [622, 661], [751, 758], [908, 1080]], "Thursday": [[540, 599], [709, 714], [764, 821], [871, 897], [937, 1015], [1035, 1080]], "Friday": [[540, 683], [833, 851], [961, 1080]]}, "constraint": ["conflict", 20]}, "Jessica Gutierrez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[557, 647], [660, 780], [854, 894], [949, 999]], "Tuesday": [[702, 822], [913, 1023], [1024, 1074]], "Wednesday": [[559, 679], [747, 807], [832, 932], [935, 995]], "Thursday": [[615, 715], [727, 847], [848, 868], [874, 964], [970, 1010]], "Friday": [[566, 636], [836, 936], [969, 1049]]}, "free_org": {"Monday": [[540, 557], [647, 660], [780, 854], [894, 949], [999, 1080]], "Tuesday": [[540, 702], [822, 913], [1023, 1024], [1074, 1080]], "Wednesday": [[540, 559], [679, 747], [807, 832], [932, 935], [995, 1080]], "Thursday": [[540, 615], [715, 727], [847, 848], [868, 874], [964, 970], [1010, 1080]], "Friday": [[540, 566], [636, 836], [936, 969], [1049, 1080]]}, "constraint": ["conflict", 40]}, "Traci Peterson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[674, 794], [870, 1000]], "Tuesday": [[557, 577], [679, 729], [730, 770], [864, 894], [895, 1035]], "Wednesday": [[626, 766], [889, 969]], "Thursday": [[546, 646], [653, 723], [725, 745], [890, 1030]], "Friday": [[553, 593], [600, 710], [710, 770], [889, 919]]}, "free_org": {"Monday": [[540, 674], [794, 870], [1000, 1080]], "Tuesday": [[540, 557], [577, 679], [729, 730], [770, 864], [894, 895], [1035, 1080]], "Wednesday": [[540, 626], [766, 889], [969, 1080]], "Thursday": [[540, 546], [646, 653], [723, 725], [745, 890], [1030, 1080]], "Friday": [[540, 553], [593, 600], [770, 889], [919, 1080]]}, "constraint": ["buffer", 10]}, "Ryan Bailey": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[575, 695], [804, 874], [949, 1059]], "Tuesday": [[606, 676], [699, 749], [812, 892], [948, 978], [981, 1021], [1030, 1070]], "Wednesday": [[541, 601], [630, 650], [675, 725], [784, 844], [854, 934], [989, 1019]], "Thursday": [[625, 705], [730, 810], [818, 848], [890, 1040]], "Friday": [[602, 662], [687, 727], [745, 765], [771, 791], [806, 916], [974, 1074]]}, "free_org": {"Monday": [[540, 575], [695, 804], [874, 949], [1059, 1080]], "Tuesday": [[540, 606], [676, 699], [749, 812], [892, 948], [978, 981], [1021, 1030], [1070, 1080]], "Wednesday": [[540, 541], [601, 630], [650, 675], [725, 784], [844, 854], [934, 989], [1019, 1080]], "Thursday": [[540, 625], [705, 730], [810, 818], [848, 890], [1040, 1080]], "Friday": [[540, 602], [662, 687], [727, 745], [765, 771], [791, 806], [916, 974], [1074, 1080]]}, "constraint": ["lunch", ["Monday", [756, 786]]]}, "Tiffany Bailey": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[584, 734], [755, 875], [885, 1025]], "Tuesday": [[633, 693], [706, 726], [735, 765], [765, 835], [844, 904], [926, 1006]], "Wednesday": [[546, 616], [617, 677], [753, 813], [823, 963]], "Thursday": [[609, 679], [752, 772], [863, 1013]], "Friday": [[581, 601], [623, 663], [747, 887], [927, 987], [999, 1059]]}, "free_org": {"Monday": [[540, 584], [734, 755], [875, 885], [1025, 1080]], "Tuesday": [[540, 633], [693, 706], [726, 735], [835, 844], [904, 926], [1006, 1080]], "Wednesday": [[540, 546], [616, 617], [677, 753], [813, 823], [963, 1080]], "Thursday": [[540, 609], [679, 752], [772, 863], [1013, 1080]], "Friday": [[540, 581], [601, 623], [663, 747], [887, 927], [987, 999], [1059, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 51, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nOlivia Saunders, Cynthia Brandt, Michael Good, William Jimenez, Richard Phillips work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Olivia Saunders's week in their local time is as follows:\nMonday: Booked at the following times: from 10:31 to 11:41, from 12:40 to 14:50, from 14:56 to 17:16\nTuesday: Booked at the following times: from 9:13 to 10:23, from 11:32 to 14:02, from 15:07 to 15:47, from 16:29 to 17:19\nWednesday: Booked at the following times: from 11:16 to 12:46, from 13:24 to 13:44, from 14:24 to 14:54, from 15:36 to 16:06, from 17:09 to 17:39\nThursday: Booked at the following times: from 9:30 to 10:40, from 11:53 to 12:23, from 12:27 to 14:57, from 15:01 to 17:01, from 17:18 to 17:48\nFriday: Booked at the following times: from 9:36 to 10:26, from 10:31 to 11:01, from 11:17 to 12:57, from 15:06 to 16:46, from 16:55 to 17:35\n\nThe schedule for Cynthia Brandt's week in their local time is as follows:\nMonday: Booked at the following times: from 9:12 to 10:02, from 11:30 to 12:40, from 15:05 to 17:05\nTuesday: Booked at the following times: from 10:08 to 12:38, from 15:26 to 17:36\nWednesday: Booked at the following times: from 9:57 to 11:57, from 12:22 to 13:02, from 13:46 to 15:26\nThursday: Booked at the following times: from 9:01 to 10:21, from 10:54 to 12:04, from 15:25 to 16:25\nFriday: Booked at the following times: from 10:21 to 12:11, from 14:44 to 16:14\n\nThe schedule for Michael Good's week in their local time is as follows:\nMonday: Booked at the following times: from 9:45 to 11:25, from 13:19 to 14:59\nTuesday: Booked at the following times: from 11:18 to 13:38, from 14:19 to 15:09, from 15:11 to 15:41, from 15:56 to 17:26\nWednesday: Booked at the following times: from 9:35 to 10:45, from 15:16 to 17:26\nThursday: Booked at the following times: from 9:48 to 10:48, from 11:14 to 12:54, from 16:10 to 17:20\nFriday: Booked at the following times: from 9:09 to 10:49, from 11:45 to 12:35, from 14:00 to 15:10, from 15:18 to 16:18\n\nThe schedule for William Jimenez's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 11:31, from 12:21 to 12:24, from 13:04 to 13:45, from 14:35 to 16:00\nTuesday: Booked at the following times: from 10:28 to 11:08, from 11:10 to 12:30, from 13:16 to 14:56, from 16:41 to 17:31\nWednesday: Booked at the following times: from 10:22 to 12:52, from 13:40 to 15:50, from 16:23 to 16:53\nThursday: Booked at the following times: from 9:05 to 10:45, from 12:56 to 13:16, from 13:29 to 14:39, from 15:26 to 17:26\nFriday: Booked at the following times: from 9:30 to 10:20, from 10:38 to 11:38, from 11:49 to 12:49, from 13:16 to 15:46\n\nThe schedule for Richard Phillips's week in their local time is as follows:\nMonday: Booked at the following times: from 9:59 to 12:19, from 12:37 to 15:07\nTuesday: Booked at the following times: from 11:30 to 12:20, from 12:36 to 14:56, from 15:40 to 17:50\nWednesday: Booked at the following times: from 10:03 to 10:43, from 11:20 to 13:20, from 14:20 to 15:50\nThursday: Free only at the following times: anytime before 9:48, from 11:38 to 11:55, from 12:15 to 13:01, from 14:31 to 14:38, from 15:58 to 16:41, anytime after 17:01\nFriday: Booked at the following times: from 12:18 to 13:18, from 13:41 to 14:21, from 15:39 to 16:59\n\nCynthia Brandt is in a timezone that is 1 hour behind of other participants\nMichael Good requires 5 minutes free before and after the meeting\nWilliam Jimenez needs a break for lunch on Tuesday from 12:31 to 13:01\nRichard Phillips needs a break for lunch on Thursday from 12:16 to 12:46\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Olivia Saunders": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[631, 701], [760, 890], [896, 1036]], "Tuesday": [[553, 623], [692, 842], [907, 947], [989, 1039]], "Wednesday": [[676, 766], [804, 824], [864, 894], [936, 966], [1029, 1059]], "Thursday": [[570, 640], [713, 743], [747, 897], [901, 1021], [1038, 1068]], "Friday": [[576, 626], [631, 661], [677, 777], [906, 1006], [1015, 1055]]}, "free_org": {"Monday": [[540, 631], [701, 760], [890, 896], [1036, 1080]], "Tuesday": [[540, 553], [623, 692], [842, 907], [947, 989], [1039, 1080]], "Wednesday": [[540, 676], [766, 804], [824, 864], [894, 936], [966, 1029], [1059, 1080]], "Thursday": [[540, 570], [640, 713], [743, 747], [897, 901], [1021, 1038], [1068, 1080]], "Friday": [[540, 576], [626, 631], [661, 677], [777, 906], [1006, 1015], [1055, 1080]]}, "constraint": ["none", null]}, "Cynthia Brandt": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[552, 602], [690, 760], [905, 1025]], "Tuesday": [[608, 758], [926, 1056]], "Wednesday": [[597, 717], [742, 782], [826, 926]], "Thursday": [[541, 621], [654, 724], [925, 985]], "Friday": [[621, 731], [884, 974]]}, "free_org": {"Monday": [[540, 552], [602, 690], [760, 905], [1025, 1080]], "Tuesday": [[540, 608], [758, 926], [1056, 1080]], "Wednesday": [[540, 597], [717, 742], [782, 826], [926, 1080]], "Thursday": [[540, 541], [621, 654], [724, 925], [985, 1080]], "Friday": [[540, 621], [731, 884], [974, 1080]]}, "constraint": ["timezone", -1]}, "Michael Good": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[585, 685], [799, 899]], "Tuesday": [[678, 818], [859, 909], [911, 941], [956, 1046]], "Wednesday": [[575, 645], [916, 1046]], "Thursday": [[588, 648], [674, 774], [970, 1040]], "Friday": [[549, 649], [705, 755], [840, 910], [918, 978]]}, "free_org": {"Monday": [[540, 585], [685, 799], [899, 1080]], "Tuesday": [[540, 678], [818, 859], [909, 911], [941, 956], [1046, 1080]], "Wednesday": [[540, 575], [645, 916], [1046, 1080]], "Thursday": [[540, 588], [648, 674], [774, 970], [1040, 1080]], "Friday": [[540, 549], [649, 705], [755, 840], [910, 918], [978, 1080]]}, "constraint": ["buffer", 5]}, "William Jimenez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[691, 741], [744, 784], [825, 875], [960, 1080]], "Tuesday": [[628, 668], [670, 750], [796, 896], [1001, 1051]], "Wednesday": [[622, 772], [820, 950], [983, 1013]], "Thursday": [[545, 645], [776, 796], [809, 879], [926, 1046]], "Friday": [[570, 620], [638, 698], [709, 769], [796, 946]]}, "free_org": {"Monday": [[540, 691], [741, 744], [784, 825], [875, 960]], "Tuesday": [[540, 628], [668, 670], [750, 796], [896, 1001], [1051, 1080]], "Wednesday": [[540, 622], [772, 820], [950, 983], [1013, 1080]], "Thursday": [[540, 545], [645, 776], [796, 809], [879, 926], [1046, 1080]], "Friday": [[540, 570], [620, 638], [698, 709], [769, 796], [946, 1080]]}, "constraint": ["lunch", ["Tuesday", [751, 781]]]}, "Richard Phillips": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[599, 739], [757, 907]], "Tuesday": [[690, 740], [756, 896], [940, 1070]], "Wednesday": [[603, 643], [680, 800], [860, 950]], "Thursday": [[588, 698], [715, 735], [781, 841], [841, 871], [878, 958], [1001, 1021]], "Friday": [[738, 798], [821, 861], [939, 1019]]}, "free_org": {"Monday": [[540, 599], [739, 757], [907, 1080]], "Tuesday": [[540, 690], [740, 756], [896, 940], [1070, 1080]], "Wednesday": [[540, 603], [643, 680], [800, 860], [950, 1080]], "Thursday": [[540, 588], [698, 715], [735, 781], [871, 878], [958, 1001], [1021, 1080]], "Friday": [[540, 738], [798, 821], [861, 939], [1019, 1080]]}, "constraint": ["lunch", ["Thursday", [736, 766]]]}}, "solution": {"max_duration": 20, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nMark Brown, Stephanie Finley, Larry Robles, Larry Allen, William Jensen, Anthony Ferguson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Mark Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:05 to 9:35, from 13:03 to 13:53, from 16:16 to 17:56\nTuesday: Booked at the following times: from 11:25 to 13:45, from 13:54 to 14:54, from 17:18 to 17:58\nWednesday: Booked at the following times: from 11:31 to 13:41, from 14:47 to 15:27, from 16:56 to 17:56\nThursday: Booked at the following times: from 9:30 to 11:50, from 15:21 to 16:31\nFriday: Booked at the following times: from 11:48 to 12:48, from 12:54 to 14:54, from 16:10 to 16:40\n\nThe schedule for Stephanie Finley's week in their local time is as follows:\nMonday: Booked at the following times: from 10:32 to 10:52, from 11:05 to 12:15, from 12:25 to 13:35, from 13:36 to 14:56, from 14:57 to 16:47\nTuesday: Free only at the following times: from 9:20 to 9:59, from 11:19 to 12:13, from 12:43 to 13:02, from 14:02 to 15:17, from 16:07 to 16:31, anytime after 17:41\nWednesday: Booked at the following times: from 9:03 to 11:13, from 13:37 to 14:17, from 14:46 to 15:26, from 15:49 to 16:59\nThursday: Booked at the following times: from 9:45 to 10:55, from 12:34 to 14:34, from 14:54 to 16:34\nFriday: Booked at the following times: from 9:10 to 10:20, from 11:01 to 12:41, from 13:50 to 15:20\n\nThe schedule for Larry Robles's week in their local time is as follows:\nMonday: Booked at the following times: from 10:53 to 13:23, from 13:59 to 14:59, from 15:58 to 17:48\nTuesday: Booked at the following times: from 9:47 to 10:37, from 11:16 to 11:36, from 12:02 to 14:12, from 14:35 to 15:05, from 15:06 to 15:56, from 16:33 to 17:13\nWednesday: Booked at the following times: from 9:06 to 9:56, from 10:46 to 12:36, from 13:53 to 14:23, from 14:52 to 16:12\nThursday: Booked at the following times: from 10:53 to 11:23, from 12:25 to 13:15, from 14:05 to 15:55, from 16:58 to 17:18\nFriday: Booked at the following times: from 9:33 to 11:23, from 11:57 to 12:57, from 13:59 to 14:19, from 14:58 to 16:28\n\nThe schedule for Larry Allen's week in their local time is as follows:\nMonday: Booked at the following times: from 10:40 to 12:00, from 15:49 to 16:59, from 17:34 to 17:54\nTuesday: Booked at the following times: from 9:43 to 11:23, from 13:00 to 15:10, from 15:46 to 17:46\nWednesday: Booked at the following times: from 9:57 to 11:57, from 13:07 to 13:27, from 13:54 to 15:04, from 15:20 to 16:50\nThursday: Booked at the following times: from 10:33 to 11:23, from 11:25 to 12:25, from 12:52 to 13:42, from 13:59 to 14:49, from 15:04 to 16:44\nFriday: Booked at the following times: from 10:04 to 10:34, from 10:53 to 11:33, from 12:08 to 12:48, from 13:51 to 15:21, from 17:28 to 17:58\n\nThe schedule for William Jensen's week in their local time is as follows:\nMonday: Booked at the following times: from 11:00 to 12:20, from 13:57 to 16:27\nTuesday: Booked at the following times: from 9:22 to 11:32, from 12:44 to 14:34, from 15:34 to 16:24, from 17:04 to 17:44\nWednesday: Booked at the following times: from 10:53 to 11:13, from 11:31 to 13:01, from 13:47 to 16:07, from 16:29 to 17:39\nThursday: Booked at the following times: from 9:06 to 10:26, from 11:05 to 13:05, from 13:55 to 15:45, from 16:16 to 16:56, from 17:10 to 17:40\nFriday: Booked at the following times: from 9:34 to 9:54, from 10:07 to 10:27, from 10:39 to 11:09, from 11:36 to 11:56, from 12:25 to 13:35, from 14:01 to 14:41, from 14:43 to 15:13, from 15:27 to 16:37, from 16:43 to 17:13\n\nThe schedule for Anthony Ferguson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:16 to 9:36, from 12:00 to 13:30, from 14:14 to 15:14, from 17:22 to 17:42\nTuesday: Booked at the following times: from 9:26 to 9:56, from 10:23 to 12:23, from 13:21 to 15:11\nWednesday: Booked at the following times: from 9:03 to 10:13, from 10:26 to 11:36, from 11:47 to 13:17, from 15:10 to 15:50, from 15:52 to 17:42\nThursday: Booked at the following times: from 9:42 to 11:12, from 11:14 to 11:44, from 13:26 to 14:26, from 14:54 to 15:24, from 16:04 to 16:44, from 17:18 to 17:38\nFriday: Booked at the following times: from 11:20 to 13:50, from 13:58 to 14:38, from 15:58 to 16:48, from 16:59 to 17:29\n\nMark Brown requires 15 minutes free before and after the meeting\nStephanie Finley requires 5 minutes free before and after the meeting\nLarry Robles is in a timezone that is 1 hour behind of other participants\nWilliam Jensen requires 15 minutes free before and after the meeting\nAnthony Ferguson can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Mark Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[545, 575], [783, 833], [976, 1076]], "Tuesday": [[685, 825], [834, 894], [1038, 1078]], "Wednesday": [[691, 821], [887, 927], [1016, 1076]], "Thursday": [[570, 710], [921, 991]], "Friday": [[708, 768], [774, 894], [970, 1000]]}, "free_org": {"Monday": [[540, 545], [575, 783], [833, 976], [1076, 1080]], "Tuesday": [[540, 685], [825, 834], [894, 1038], [1078, 1080]], "Wednesday": [[540, 691], [821, 887], [927, 1016], [1076, 1080]], "Thursday": [[540, 570], [710, 921], [991, 1080]], "Friday": [[540, 708], [768, 774], [894, 970], [1000, 1080]]}, "constraint": ["buffer", 15]}, "Stephanie Finley": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[632, 652], [665, 735], [745, 815], [816, 896], [897, 1007]], "Tuesday": [[540, 560], [599, 679], [733, 763], [782, 842], [917, 967], [991, 1061]], "Wednesday": [[543, 673], [817, 857], [886, 926], [949, 1019]], "Thursday": [[585, 655], [754, 874], [894, 994]], "Friday": [[550, 620], [661, 761], [830, 920]]}, "free_org": {"Monday": [[540, 632], [652, 665], [735, 745], [815, 816], [896, 897], [1007, 1080]], "Tuesday": [[560, 599], [679, 733], [763, 782], [842, 917], [967, 991], [1061, 1080]], "Wednesday": [[540, 543], [673, 817], [857, 886], [926, 949], [1019, 1080]], "Thursday": [[540, 585], [655, 754], [874, 894], [994, 1080]], "Friday": [[540, 550], [620, 661], [761, 830], [920, 1080]]}, "constraint": ["buffer", 5]}, "Larry Robles": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[653, 803], [839, 899], [958, 1068]], "Tuesday": [[587, 637], [676, 696], [722, 852], [875, 905], [906, 956], [993, 1033]], "Wednesday": [[546, 596], [646, 756], [833, 863], [892, 972]], "Thursday": [[653, 683], [745, 795], [845, 955], [1018, 1038]], "Friday": [[573, 683], [717, 777], [839, 859], [898, 988]]}, "free_org": {"Monday": [[540, 653], [803, 839], [899, 958], [1068, 1080]], "Tuesday": [[540, 587], [637, 676], [696, 722], [852, 875], [905, 906], [956, 993], [1033, 1080]], "Wednesday": [[540, 546], [596, 646], [756, 833], [863, 892], [972, 1080]], "Thursday": [[540, 653], [683, 745], [795, 845], [955, 1018], [1038, 1080]], "Friday": [[540, 573], [683, 717], [777, 839], [859, 898], [988, 1080]]}, "constraint": ["timezone", -1]}, "Larry Allen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[640, 720], [949, 1019], [1054, 1074]], "Tuesday": [[583, 683], [780, 910], [946, 1066]], "Wednesday": [[597, 717], [787, 807], [834, 904], [920, 1010]], "Thursday": [[633, 683], [685, 745], [772, 822], [839, 889], [904, 1004]], "Friday": [[604, 634], [653, 693], [728, 768], [831, 921], [1048, 1078]]}, "free_org": {"Monday": [[540, 640], [720, 949], [1019, 1054], [1074, 1080]], "Tuesday": [[540, 583], [683, 780], [910, 946], [1066, 1080]], "Wednesday": [[540, 597], [717, 787], [807, 834], [904, 920], [1010, 1080]], "Thursday": [[540, 633], [683, 685], [745, 772], [822, 839], [889, 904], [1004, 1080]], "Friday": [[540, 604], [634, 653], [693, 728], [768, 831], [921, 1048], [1078, 1080]]}, "constraint": ["none", null]}, "William Jensen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[660, 740], [837, 987]], "Tuesday": [[562, 692], [764, 874], [934, 984], [1024, 1064]], "Wednesday": [[653, 673], [691, 781], [827, 967], [989, 1059]], "Thursday": [[546, 626], [665, 785], [835, 945], [976, 1016], [1030, 1060]], "Friday": [[574, 594], [607, 627], [639, 669], [696, 716], [745, 815], [841, 881], [883, 913], [927, 997], [1003, 1033]]}, "free_org": {"Monday": [[540, 660], [740, 837], [987, 1080]], "Tuesday": [[540, 562], [692, 764], [874, 934], [984, 1024], [1064, 1080]], "Wednesday": [[540, 653], [673, 691], [781, 827], [967, 989], [1059, 1080]], "Thursday": [[540, 546], [626, 665], [785, 835], [945, 976], [1016, 1030], [1060, 1080]], "Friday": [[540, 574], [594, 607], [627, 639], [669, 696], [716, 745], [815, 841], [881, 883], [913, 927], [997, 1003], [1033, 1080]]}, "constraint": ["buffer", 15]}, "Anthony Ferguson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[556, 576], [720, 810], [854, 914], [1042, 1062]], "Tuesday": [[566, 596], [623, 743], [801, 911]], "Wednesday": [[543, 613], [626, 696], [707, 797], [910, 950], [952, 1062]], "Thursday": [[582, 672], [674, 704], [806, 866], [894, 924], [964, 1004], [1038, 1058]], "Friday": [[680, 830], [838, 878], [958, 1008], [1019, 1049]]}, "free_org": {"Monday": [[540, 556], [576, 720], [810, 854], [914, 1042], [1062, 1080]], "Tuesday": [[540, 566], [596, 623], [743, 801], [911, 1080]], "Wednesday": [[540, 543], [613, 626], [696, 707], [797, 910], [950, 952], [1062, 1080]], "Thursday": [[540, 582], [672, 674], [704, 806], [866, 894], [924, 964], [1004, 1038], [1058, 1080]], "Friday": [[540, 680], [830, 838], [878, 958], [1008, 1019], [1049, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 27, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLisa Thomas, Dylan Anderson, Duane Taylor, Matthew Carter, Jeffrey Cooper work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Lisa Thomas's week in their local time is as follows:\nMonday: Booked at the following times: from 10:14 to 11:34, from 12:18 to 12:48, from 15:41 to 17:01\nTuesday: Booked at the following times: from 9:21 to 10:21, from 11:19 to 12:59, from 15:26 to 17:16\nWednesday: Booked at the following times: from 9:31 to 10:01, from 10:04 to 10:24, from 11:19 to 12:59, from 15:28 to 17:48\nThursday: Booked at the following times: from 10:18 to 11:08, from 13:07 to 13:47, from 13:57 to 15:57, from 16:23 to 17:33\nFriday: Booked at the following times: from 9:14 to 10:24, from 10:26 to 12:06, from 14:02 to 14:32\n\nThe schedule for Dylan Anderson's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:07, from 11:07 to 11:37, from 13:07 to 13:50, anytime after 15:30\nTuesday: Booked at the following times: from 9:06 to 10:56, from 11:23 to 13:13, from 13:35 to 15:45\nWednesday: Booked at the following times: from 10:39 to 11:09, from 13:13 to 15:23, from 15:27 to 17:07\nThursday: Booked at the following times: from 9:47 to 10:07, from 11:07 to 13:37\nFriday: Booked at the following times: from 10:15 to 11:45, from 12:02 to 13:42, from 16:56 to 17:36\n\nThe schedule for Duane Taylor's week in their local time is as follows:\nMonday: Booked at the following times: from 9:18 to 11:08, from 12:54 to 14:24, from 15:33 to 17:53\nTuesday: Booked at the following times: from 12:22 to 14:52, from 16:07 to 17:47\nWednesday: Booked at the following times: from 9:01 to 9:21, from 12:16 to 14:26, from 14:42 to 15:22, from 15:33 to 16:03, from 16:27 to 17:37\nThursday: Booked at the following times: from 9:28 to 10:28, from 10:33 to 10:53, from 11:58 to 13:18, from 14:33 to 16:03\nFriday: Booked at the following times: from 9:34 to 10:04, from 11:08 to 13:28, from 13:29 to 15:19\n\nThe schedule for Matthew Carter's week in their local time is as follows:\nMonday: Booked at the following times: from 11:38 to 12:38, from 15:31 to 17:31\nTuesday: Booked at the following times: from 10:27 to 12:37, from 12:38 to 14:58\nWednesday: Booked at the following times: from 9:11 to 10:01, from 12:03 to 12:23, from 12:47 to 14:47, from 16:15 to 17:55\nThursday: Booked at the following times: from 11:32 to 13:12, from 15:46 to 17:56\nFriday: Booked at the following times: from 9:28 to 11:48, from 12:10 to 12:40, from 12:51 to 14:41, from 14:55 to 16:35, from 17:01 to 17:41\n\nThe schedule for Jeffrey Cooper's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 12:20, from 12:26 to 12:56, from 13:11 to 14:51, from 17:19 to 17:49\nTuesday: Booked at the following times: from 10:58 to 12:38, from 13:37 to 16:07, from 17:09 to 17:39\nWednesday: Booked at the following times: from 11:47 to 13:37, from 13:41 to 14:21, from 14:30 to 16:30\nThursday: Booked at the following times: from 9:15 to 9:35, from 9:43 to 12:03, from 12:35 to 12:55, from 13:00 to 13:50, from 14:47 to 15:47, from 16:26 to 16:56\nFriday: Booked at the following times: from 9:32 to 10:22, from 11:40 to 13:30, from 14:00 to 15:20\n\nLisa Thomas can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nDylan Anderson needs a break for lunch on Monday from 11:07 to 11:37\nDuane Taylor can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nMatthew Carter needs a break for lunch on Wednesday from 11:29 to 11:59\nJeffrey Cooper can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Lisa Thomas": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[614, 694], [738, 768], [941, 1021]], "Tuesday": [[561, 621], [679, 779], [926, 1036]], "Wednesday": [[571, 601], [604, 624], [679, 779], [928, 1068]], "Thursday": [[618, 668], [787, 827], [837, 957], [983, 1053]], "Friday": [[554, 624], [626, 726], [842, 872]]}, "free_org": {"Monday": [[540, 614], [694, 738], [768, 941], [1021, 1080]], "Tuesday": [[540, 561], [621, 679], [779, 926], [1036, 1080]], "Wednesday": [[540, 571], [601, 604], [624, 679], [779, 928], [1068, 1080]], "Thursday": [[540, 618], [668, 787], [827, 837], [957, 983], [1053, 1080]], "Friday": [[540, 554], [624, 626], [726, 842], [872, 1080]]}, "constraint": ["conflict", 60]}, "Dylan Anderson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[607, 667], [697, 767], [767, 787], [830, 930]], "Tuesday": [[546, 656], [683, 793], [815, 945]], "Wednesday": [[639, 669], [793, 923], [927, 1027]], "Thursday": [[587, 607], [667, 817]], "Friday": [[615, 705], [722, 822], [1016, 1056]]}, "free_org": {"Monday": [[540, 607], [667, 697], [787, 830], [930, 1080]], "Tuesday": [[540, 546], [656, 683], [793, 815], [945, 1080]], "Wednesday": [[540, 639], [669, 793], [923, 927], [1027, 1080]], "Thursday": [[540, 587], [607, 667], [817, 1080]], "Friday": [[540, 615], [705, 722], [822, 1016], [1056, 1080]]}, "constraint": ["lunch", ["Monday", [667, 697]]]}, "Duane Taylor": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[558, 668], [774, 864], [933, 1073]], "Tuesday": [[742, 892], [967, 1067]], "Wednesday": [[541, 561], [736, 866], [882, 922], [933, 963], [987, 1057]], "Thursday": [[568, 628], [633, 653], [718, 798], [873, 963]], "Friday": [[574, 604], [668, 808], [809, 919]]}, "free_org": {"Monday": [[540, 558], [668, 774], [864, 933], [1073, 1080]], "Tuesday": [[540, 742], [892, 967], [1067, 1080]], "Wednesday": [[540, 541], [561, 736], [866, 882], [922, 933], [963, 987], [1057, 1080]], "Thursday": [[540, 568], [628, 633], [653, 718], [798, 873], [963, 1080]], "Friday": [[540, 574], [604, 668], [808, 809], [919, 1080]]}, "constraint": ["conflict", 60]}, "Matthew Carter": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[698, 758], [931, 1051]], "Tuesday": [[627, 757], [758, 898]], "Wednesday": [[551, 601], [723, 743], [767, 887], [975, 1075]], "Thursday": [[692, 792], [946, 1076]], "Friday": [[568, 708], [730, 760], [771, 881], [895, 995], [1021, 1061]]}, "free_org": {"Monday": [[540, 698], [758, 931], [1051, 1080]], "Tuesday": [[540, 627], [757, 758], [898, 1080]], "Wednesday": [[540, 551], [601, 723], [743, 767], [887, 975], [1075, 1080]], "Thursday": [[540, 692], [792, 946], [1076, 1080]], "Friday": [[540, 568], [708, 730], [760, 771], [881, 895], [995, 1021], [1061, 1080]]}, "constraint": ["lunch", ["Wednesday", [689, 719]]]}, "Jeffrey Cooper": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 740], [746, 776], [791, 891], [1039, 1069]], "Tuesday": [[658, 758], [817, 967], [1029, 1059]], "Wednesday": [[707, 817], [821, 861], [870, 990]], "Thursday": [[555, 575], [583, 723], [755, 775], [780, 830], [887, 947], [986, 1016]], "Friday": [[572, 622], [700, 810], [840, 920]]}, "free_org": {"Monday": [[540, 610], [740, 746], [776, 791], [891, 1039], [1069, 1080]], "Tuesday": [[540, 658], [758, 817], [967, 1029], [1059, 1080]], "Wednesday": [[540, 707], [817, 821], [861, 870], [990, 1080]], "Thursday": [[540, 555], [575, 583], [723, 755], [775, 780], [830, 887], [947, 986], [1016, 1080]], "Friday": [[540, 572], [622, 700], [810, 840], [920, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 43, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nScott Baker, Nicole Sanders, Linda Smith, Bradley Mahoney work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Scott Baker's week in their local time is as follows:\nMonday: Booked at the following times: from 10:03 to 11:13, from 14:03 to 15:43\nTuesday: Booked at the following times: from 9:13 to 10:43, from 11:08 to 11:28, from 12:06 to 12:26, from 13:05 to 13:45, from 14:08 to 15:18, from 16:01 to 17:21\nWednesday: Booked at the following times: from 9:10 to 10:00, from 10:24 to 11:44, from 12:34 to 14:34, from 14:44 to 16:24, from 16:43 to 17:03, from 17:17 to 17:47\nThursday: Booked at the following times: from 10:45 to 11:15, from 11:57 to 13:37, from 13:47 to 15:57\nFriday: Booked at the following times: from 9:07 to 10:07, from 10:49 to 13:09\n\nThe schedule for Nicole Sanders's week in their local time is as follows:\nMonday: Booked at the following times: from 12:10 to 13:20, from 13:51 to 14:11, from 14:31 to 15:51, from 16:29 to 17:29\nTuesday: Booked at the following times: from 9:04 to 9:54, from 11:08 to 11:28, from 12:29 to 14:29, from 15:17 to 16:57\nWednesday: Booked at the following times: from 9:31 to 11:51, from 14:33 to 15:33, from 16:38 to 17:58\nThursday: Booked at the following times: from 9:56 to 11:16, from 11:18 to 12:58, from 13:00 to 13:30, from 14:22 to 14:52, from 17:27 to 17:47\nFriday: Booked at the following times: from 10:17 to 10:47, from 11:01 to 12:01, from 12:19 to 13:49, from 16:01 to 17:11\n\nThe schedule for Linda Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 9:11 to 11:01, from 13:17 to 13:57, from 15:15 to 17:15\nTuesday: Booked at the following times: from 9:08 to 9:38, from 11:27 to 12:17, from 14:22 to 15:32, from 15:37 to 17:57\nWednesday: Booked at the following times: from 13:18 to 15:28, from 15:59 to 17:59\nThursday: Booked at the following times: from 9:06 to 9:36, from 9:50 to 11:10, from 11:39 to 11:59, from 13:16 to 15:26, from 16:25 to 17:25\nFriday: Booked at the following times: from 9:49 to 10:29, from 11:23 to 12:43, from 13:12 to 14:22, from 14:53 to 15:13, from 15:39 to 16:29, from 16:37 to 17:37\n\nThe schedule for Bradley Mahoney's week in their local time is as follows:\nMonday: Booked at the following times: from 11:41 to 12:51, from 12:59 to 15:19\nTuesday: Booked at the following times: from 10:04 to 12:34, from 13:46 to 14:56, from 15:11 to 17:01\nWednesday: Free only at the following times: anytime before 10:03, from 12:13 to 13:49, anytime after 14:59\nThursday: Booked at the following times: from 10:36 to 13:06, from 14:16 to 15:36\nFriday: Booked at the following times: from 9:45 to 10:35, from 10:47 to 11:47, from 12:27 to 14:37, from 15:22 to 16:42\n\nScott Baker requires 5 minutes free before and after the meeting\nNicole Sanders needs a break for lunch on Wednesday from 12:43 to 13:13\nBradley Mahoney needs a break for lunch on Monday from 11:07 to 11:37\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Scott Baker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[603, 673], [843, 943]], "Tuesday": [[553, 643], [668, 688], [726, 746], [785, 825], [848, 918], [961, 1041]], "Wednesday": [[550, 600], [624, 704], [754, 874], [884, 984], [1003, 1023], [1037, 1067]], "Thursday": [[645, 675], [717, 817], [827, 957]], "Friday": [[547, 607], [649, 789]]}, "free_org": {"Monday": [[540, 603], [673, 843], [943, 1080]], "Tuesday": [[540, 553], [643, 668], [688, 726], [746, 785], [825, 848], [918, 961], [1041, 1080]], "Wednesday": [[540, 550], [600, 624], [704, 754], [874, 884], [984, 1003], [1023, 1037], [1067, 1080]], "Thursday": [[540, 645], [675, 717], [817, 827], [957, 1080]], "Friday": [[540, 547], [607, 649], [789, 1080]]}, "constraint": ["buffer", 5]}, "Nicole Sanders": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[730, 800], [831, 851], [871, 951], [989, 1049]], "Tuesday": [[544, 594], [668, 688], [749, 869], [917, 1017]], "Wednesday": [[571, 711], [873, 933], [998, 1078]], "Thursday": [[596, 676], [678, 778], [780, 810], [862, 892], [1047, 1067]], "Friday": [[617, 647], [661, 721], [739, 829], [961, 1031]]}, "free_org": {"Monday": [[540, 730], [800, 831], [851, 871], [951, 989], [1049, 1080]], "Tuesday": [[540, 544], [594, 668], [688, 749], [869, 917], [1017, 1080]], "Wednesday": [[540, 571], [711, 873], [933, 998], [1078, 1080]], "Thursday": [[540, 596], [676, 678], [778, 780], [810, 862], [892, 1047], [1067, 1080]], "Friday": [[540, 617], [647, 661], [721, 739], [829, 961], [1031, 1080]]}, "constraint": ["lunch", ["Wednesday", [763, 793]]]}, "Linda Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[551, 661], [797, 837], [915, 1035]], "Tuesday": [[548, 578], [687, 737], [862, 932], [937, 1077]], "Wednesday": [[798, 928], [959, 1079]], "Thursday": [[546, 576], [590, 670], [699, 719], [796, 926], [985, 1045]], "Friday": [[589, 629], [683, 763], [792, 862], [893, 913], [939, 989], [997, 1057]]}, "free_org": {"Monday": [[540, 551], [661, 797], [837, 915], [1035, 1080]], "Tuesday": [[540, 548], [578, 687], [737, 862], [932, 937], [1077, 1080]], "Wednesday": [[540, 798], [928, 959], [1079, 1080]], "Thursday": [[540, 546], [576, 590], [670, 699], [719, 796], [926, 985], [1045, 1080]], "Friday": [[540, 589], [629, 683], [763, 792], [862, 893], [913, 939], [989, 997], [1057, 1080]]}, "constraint": ["none", null]}, "Bradley Mahoney": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[701, 771], [779, 919]], "Tuesday": [[604, 754], [826, 896], [911, 1021]], "Wednesday": [[603, 663], [663, 733], [829, 899]], "Thursday": [[636, 786], [856, 936]], "Friday": [[585, 635], [647, 707], [747, 877], [922, 1002]]}, "free_org": {"Monday": [[540, 701], [771, 779], [919, 1080]], "Tuesday": [[540, 604], [754, 826], [896, 911], [1021, 1080]], "Wednesday": [[540, 603], [733, 829], [899, 1080]], "Thursday": [[540, 636], [786, 856], [936, 1080]], "Friday": [[540, 585], [635, 647], [707, 747], [877, 922], [1002, 1080]]}, "constraint": ["lunch", ["Monday", [667, 697]]]}}, "solution": {"max_duration": 26, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLauren Phillips, David Harris, Wendy Allen work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Lauren Phillips's week in their local time is as follows:\nMonday: Booked at the following times: from 9:41 to 10:01, from 10:29 to 12:39, from 12:41 to 13:11, from 15:12 to 15:52, from 16:52 to 17:12\nTuesday: Booked at the following times: from 10:11 to 10:41, from 10:55 to 11:45, from 12:49 to 13:29, from 14:49 to 15:29, from 16:06 to 17:46\nWednesday: Booked at the following times: from 9:40 to 11:10, from 11:23 to 13:33, from 14:37 to 16:07, from 16:29 to 16:59\nThursday: Booked at the following times: from 13:59 to 15:29, from 15:31 to 17:51\nFriday: Booked at the following times: from 10:05 to 11:05, from 11:34 to 12:14, from 12:24 to 13:44, from 16:08 to 16:58, from 17:17 to 17:37\n\nThe schedule for David Harris's week in their local time is as follows:\nMonday: Booked at the following times: from 9:58 to 11:38, from 12:16 to 13:26, from 14:04 to 15:34, from 16:44 to 17:34\nTuesday: Booked at the following times: from 9:27 to 11:27, from 13:49 to 15:19, from 16:48 to 17:28\nWednesday: Booked at the following times: from 9:56 to 10:56, from 11:22 to 12:22, from 14:12 to 15:12, from 15:47 to 16:27, from 16:39 to 17:59\nThursday: Booked at the following times: from 10:23 to 12:23, from 14:12 to 14:42, from 14:49 to 15:59, from 16:09 to 17:59\nFriday: Booked at the following times: from 9:07 to 9:27, from 11:08 to 11:38, from 13:35 to 14:45, from 15:20 to 16:30, from 16:38 to 16:58\n\nThe schedule for Wendy Allen's week in their local time is as follows:\nMonday: Booked at the following times: from 9:08 to 10:28, from 13:41 to 14:31, from 16:33 to 17:33\nTuesday: Booked at the following times: from 9:18 to 11:28, from 13:36 to 13:56, from 14:11 to 16:11, from 17:04 to 17:34\nWednesday: Booked at the following times: from 9:50 to 10:20, from 11:08 to 12:58, from 13:06 to 15:26, from 15:46 to 17:46\nThursday: Booked at the following times: from 9:51 to 10:41, from 10:58 to 11:28, from 12:03 to 12:23, from 13:26 to 14:06, from 14:22 to 15:32, from 16:05 to 16:35\nFriday: Free only at the following times: anytime before 9:31, from 10:21 to 10:44, from 12:24 to 13:25, from 13:55 to 14:33, from 15:53 to 16:40\n\nLauren Phillips can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nDavid Harris needs a break for lunch on Wednesday from 12:53 to 13:23\nWendy Allen requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Lauren Phillips": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[581, 601], [629, 759], [761, 791], [912, 952], [1012, 1032]], "Tuesday": [[611, 641], [655, 705], [769, 809], [889, 929], [966, 1066]], "Wednesday": [[580, 670], [683, 813], [877, 967], [989, 1019]], "Thursday": [[839, 929], [931, 1071]], "Friday": [[605, 665], [694, 734], [744, 824], [968, 1018], [1037, 1057]]}, "free_org": {"Monday": [[540, 581], [601, 629], [759, 761], [791, 912], [952, 1012], [1032, 1080]], "Tuesday": [[540, 611], [641, 655], [705, 769], [809, 889], [929, 966], [1066, 1080]], "Wednesday": [[540, 580], [670, 683], [813, 877], [967, 989], [1019, 1080]], "Thursday": [[540, 839], [929, 931], [1071, 1080]], "Friday": [[540, 605], [665, 694], [734, 744], [824, 968], [1018, 1037], [1057, 1080]]}, "constraint": ["conflict", 40]}, "David Harris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[598, 698], [736, 806], [844, 934], [1004, 1054]], "Tuesday": [[567, 687], [829, 919], [1008, 1048]], "Wednesday": [[596, 656], [682, 742], [852, 912], [947, 987], [999, 1079]], "Thursday": [[623, 743], [852, 882], [889, 959], [969, 1079]], "Friday": [[547, 567], [668, 698], [815, 885], [920, 990], [998, 1018]]}, "free_org": {"Monday": [[540, 598], [698, 736], [806, 844], [934, 1004], [1054, 1080]], "Tuesday": [[540, 567], [687, 829], [919, 1008], [1048, 1080]], "Wednesday": [[540, 596], [656, 682], [742, 852], [912, 947], [987, 999], [1079, 1080]], "Thursday": [[540, 623], [743, 852], [882, 889], [959, 969], [1079, 1080]], "Friday": [[540, 547], [567, 668], [698, 815], [885, 920], [990, 998], [1018, 1080]]}, "constraint": ["lunch", ["Wednesday", [773, 803]]]}, "Wendy Allen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[548, 628], [821, 871], [993, 1053]], "Tuesday": [[558, 688], [816, 836], [851, 971], [1024, 1054]], "Wednesday": [[590, 620], [668, 778], [786, 926], [946, 1066]], "Thursday": [[591, 641], [658, 688], [723, 743], [806, 846], [862, 932], [965, 995]], "Friday": [[571, 621], [644, 744], [805, 835], [873, 953], [1000, 1080]]}, "free_org": {"Monday": [[540, 548], [628, 821], [871, 993], [1053, 1080]], "Tuesday": [[540, 558], [688, 816], [836, 851], [971, 1024], [1054, 1080]], "Wednesday": [[540, 590], [620, 668], [778, 786], [926, 946], [1066, 1080]], "Thursday": [[540, 591], [641, 658], [688, 723], [743, 806], [846, 862], [932, 965], [995, 1080]], "Friday": [[540, 571], [621, 644], [744, 805], [835, 873], [953, 1000]]}, "constraint": ["buffer", 10]}}, "solution": {"max_duration": 101, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nEmily Mcgee, Nathaniel Miranda, Jennifer Harris, Yvonne Gonzales, Wesley Wilson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Emily Mcgee's week in their local time is as follows:\nMonday: Booked at the following times: from 9:32 to 10:02, from 11:40 to 13:40, from 13:45 to 16:15\nTuesday: Booked at the following times: from 9:08 to 11:08, from 11:44 to 12:04, from 13:02 to 13:22, from 13:23 to 13:53, from 15:23 to 16:13, from 16:40 to 17:30\nWednesday: Booked at the following times: from 9:28 to 9:58, from 12:56 to 13:56, from 13:57 to 15:07, from 15:34 to 16:34, from 16:37 to 17:57\nThursday: Booked at the following times: from 9:28 to 10:48, from 10:57 to 11:57, from 13:09 to 15:09, from 16:01 to 17:01\nFriday: Booked at the following times: from 9:35 to 10:55, from 12:19 to 14:19, from 15:22 to 17:12\n\nThe schedule for Nathaniel Miranda's week in their local time is as follows:\nMonday: Booked at the following times: from 11:34 to 12:04, from 12:39 to 12:59, from 13:50 to 14:10, from 14:20 to 15:00, from 15:28 to 17:08\nTuesday: Booked at the following times: from 9:43 to 10:43, from 11:08 to 12:58, from 14:18 to 15:58\nWednesday: Free only at the following times: anytime before 9:59, from 10:29 to 11:31, from 13:11 to 13:23, anytime after 16:43\nThursday: Booked at the following times: from 9:17 to 10:17, from 10:28 to 11:18, from 11:19 to 13:19, from 13:40 to 14:40, from 15:16 to 16:26\nFriday: Booked at the following times: from 10:20 to 11:30, from 11:38 to 13:38, from 13:54 to 16:24\n\nThe schedule for Jennifer Harris's week in their local time is as follows:\nMonday: Booked at the following times: from 10:43 to 11:33, from 13:28 to 14:48, from 16:19 to 17:19\nTuesday: Booked at the following times: from 9:48 to 11:58, from 14:20 to 16:10\nWednesday: Booked at the following times: from 10:21 to 12:31, from 14:32 to 15:02, from 16:33 to 17:13\nThursday: Booked at the following times: from 9:03 to 10:43, from 12:27 to 13:37, from 13:59 to 15:49\nFriday: Booked at the following times: from 11:22 to 13:12, from 13:18 to 13:58, from 15:25 to 17:55\n\nThe schedule for Yvonne Gonzales's week in their local time is as follows:\nMonday: Booked at the following times: from 9:46 to 10:56, from 13:08 to 14:28, from 15:10 to 15:30, from 16:52 to 17:52\nTuesday: Booked at the following times: from 9:45 to 10:05, from 10:13 to 12:03, from 12:39 to 13:29, from 13:46 to 14:46, from 15:40 to 16:10, from 17:08 to 17:28\nWednesday: Booked at the following times: from 10:05 to 10:55, from 12:00 to 12:40, from 15:31 to 15:51, from 16:42 to 17:52\nThursday: Booked at the following times: from 9:29 to 10:39, from 13:13 to 14:33, from 16:02 to 17:02, from 17:06 to 17:36\nFriday: Free only at the following times: anytime before 10:53, from 11:23 to 11:46, from 13:56 to 14:44, from 15:04 to 15:40\n\nThe schedule for Wesley Wilson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:01 to 11:21, from 11:30 to 13:30, from 13:44 to 14:24, from 14:59 to 15:29, from 16:05 to 17:35\nTuesday: Booked at the following times: from 9:24 to 10:34, from 10:36 to 11:06, from 11:47 to 14:17, from 14:21 to 15:01\nWednesday: Booked at the following times: from 9:51 to 11:31, from 13:17 to 13:37, from 14:05 to 16:35, from 17:00 to 17:30\nThursday: Booked at the following times: from 9:06 to 10:46, from 11:57 to 12:17, from 13:02 to 14:32, from 16:33 to 17:43\nFriday: Booked at the following times: from 9:23 to 10:43, from 10:47 to 13:07, from 14:29 to 15:49\n\nEmily Mcgee is in a timezone that is 1 hour ahead of other participants\nNathaniel Miranda can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nJennifer Harris can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nYvonne Gonzales requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Emily Mcgee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[572, 602], [700, 820], [825, 975]], "Tuesday": [[548, 668], [704, 724], [782, 802], [803, 833], [923, 973], [1000, 1050]], "Wednesday": [[568, 598], [776, 836], [837, 907], [934, 994], [997, 1077]], "Thursday": [[568, 648], [657, 717], [789, 909], [961, 1021]], "Friday": [[575, 655], [739, 859], [922, 1032]]}, "free_org": {"Monday": [[540, 572], [602, 700], [820, 825], [975, 1080]], "Tuesday": [[540, 548], [668, 704], [724, 782], [802, 803], [833, 923], [973, 1000], [1050, 1080]], "Wednesday": [[540, 568], [598, 776], [836, 837], [907, 934], [994, 997], [1077, 1080]], "Thursday": [[540, 568], [648, 657], [717, 789], [909, 961], [1021, 1080]], "Friday": [[540, 575], [655, 739], [859, 922], [1032, 1080]]}, "constraint": ["timezone", 1]}, "Nathaniel Miranda": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[694, 724], [759, 779], [830, 850], [860, 900], [928, 1028]], "Tuesday": [[583, 643], [668, 778], [858, 958]], "Wednesday": [[599, 629], [691, 791], [803, 883], [883, 1003]], "Thursday": [[557, 617], [628, 678], [679, 799], [820, 880], [916, 986]], "Friday": [[620, 690], [698, 818], [834, 984]]}, "free_org": {"Monday": [[540, 694], [724, 759], [779, 830], [850, 860], [900, 928], [1028, 1080]], "Tuesday": [[540, 583], [643, 668], [778, 858], [958, 1080]], "Wednesday": [[540, 599], [629, 691], [791, 803], [1003, 1080]], "Thursday": [[540, 557], [617, 628], [678, 679], [799, 820], [880, 916], [986, 1080]], "Friday": [[540, 620], [690, 698], [818, 834], [984, 1080]]}, "constraint": ["conflict", 60]}, "Jennifer Harris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[643, 693], [808, 888], [979, 1039]], "Tuesday": [[588, 718], [860, 970]], "Wednesday": [[621, 751], [872, 902], [993, 1033]], "Thursday": [[543, 643], [747, 817], [839, 949]], "Friday": [[682, 792], [798, 838], [925, 1075]]}, "free_org": {"Monday": [[540, 643], [693, 808], [888, 979], [1039, 1080]], "Tuesday": [[540, 588], [718, 860], [970, 1080]], "Wednesday": [[540, 621], [751, 872], [902, 993], [1033, 1080]], "Thursday": [[540, 543], [643, 747], [817, 839], [949, 1080]], "Friday": [[540, 682], [792, 798], [838, 925], [1075, 1080]]}, "constraint": ["conflict", 40]}, "Yvonne Gonzales": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[586, 656], [788, 868], [910, 930], [1012, 1072]], "Tuesday": [[585, 605], [613, 723], [759, 809], [826, 886], [940, 970], [1028, 1048]], "Wednesday": [[605, 655], [720, 760], [931, 951], [1002, 1072]], "Thursday": [[569, 639], [793, 873], [962, 1022], [1026, 1056]], "Friday": [[653, 683], [706, 836], [884, 904], [940, 1080]]}, "free_org": {"Monday": [[540, 586], [656, 788], [868, 910], [930, 1012], [1072, 1080]], "Tuesday": [[540, 585], [605, 613], [723, 759], [809, 826], [886, 940], [970, 1028], [1048, 1080]], "Wednesday": [[540, 605], [655, 720], [760, 931], [951, 1002], [1072, 1080]], "Thursday": [[540, 569], [639, 793], [873, 962], [1022, 1026], [1056, 1080]], "Friday": [[540, 653], [683, 706], [836, 884], [904, 940]]}, "constraint": ["buffer", 10]}, "Wesley Wilson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 681], [690, 810], [824, 864], [899, 929], [965, 1055]], "Tuesday": [[564, 634], [636, 666], [707, 857], [861, 901]], "Wednesday": [[591, 691], [797, 817], [845, 995], [1020, 1050]], "Thursday": [[546, 646], [717, 737], [782, 872], [993, 1063]], "Friday": [[563, 643], [647, 787], [869, 949]]}, "free_org": {"Monday": [[540, 601], [681, 690], [810, 824], [864, 899], [929, 965], [1055, 1080]], "Tuesday": [[540, 564], [634, 636], [666, 707], [857, 861], [901, 1080]], "Wednesday": [[540, 591], [691, 797], [817, 845], [995, 1020], [1050, 1080]], "Thursday": [[540, 546], [646, 717], [737, 782], [872, 993], [1063, 1080]], "Friday": [[540, 563], [643, 647], [787, 869], [949, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 41, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJuan Sutton, Chelsey Randall, Kimberly Hudson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Juan Sutton's week in their local time is as follows:\nMonday: Booked at the following times: from 9:03 to 10:23, from 12:48 to 15:18, from 15:36 to 17:36\nTuesday: Booked at the following times: from 11:14 to 13:14, from 13:28 to 14:38, from 15:12 to 16:02, from 16:11 to 16:41, from 16:47 to 17:17\nWednesday: Booked at the following times: from 12:38 to 14:48, from 16:11 to 17:41\nThursday: Booked at the following times: from 9:49 to 10:29, from 10:35 to 11:55, from 12:21 to 14:21, from 14:29 to 15:29, from 16:31 to 17:01\nFriday: Booked at the following times: from 9:31 to 10:41, from 10:48 to 13:08, from 14:36 to 15:16, from 16:35 to 17:35\n\nThe schedule for Chelsey Randall's week in their local time is as follows:\nMonday: Booked at the following times: from 10:58 to 12:48, from 15:49 to 17:19\nTuesday: Booked at the following times: from 10:48 to 12:58, from 13:00 to 14:30, from 14:57 to 15:37, from 17:02 to 17:22\nWednesday: Booked at the following times: from 9:56 to 11:46, from 12:15 to 14:15, from 14:32 to 15:52\nThursday: Booked at the following times: from 9:35 to 10:25, from 10:41 to 11:11, from 11:45 to 12:25, from 12:45 to 13:05, from 13:30 to 14:00, from 14:25 to 15:25, from 15:46 to 17:26\nFriday: Booked at the following times: from 9:53 to 11:03, from 11:33 to 12:13, from 13:27 to 14:37, from 15:25 to 16:35, from 16:44 to 17:54\n\nThe schedule for Kimberly Hudson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:14 to 10:24, from 11:10 to 12:40, from 12:51 to 14:51, from 15:14 to 16:34\nTuesday: Booked at the following times: from 10:12 to 11:02, from 11:42 to 12:12, from 12:13 to 14:33, from 15:20 to 16:10\nWednesday: Booked at the following times: from 9:15 to 9:55, from 10:21 to 11:31, from 11:35 to 14:05, from 14:26 to 16:16\nThursday: Booked at the following times: from 9:16 to 11:06, from 12:25 to 13:55, from 15:12 to 16:22\nFriday: Booked at the following times: from 9:33 to 12:03, from 12:30 to 14:20, from 14:41 to 15:31\n\nChelsey Randall requires 5 minutes free before and after the meeting\nKimberly Hudson requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Juan Sutton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[543, 623], [768, 918], [936, 1056]], "Tuesday": [[674, 794], [808, 878], [912, 962], [971, 1001], [1007, 1037]], "Wednesday": [[758, 888], [971, 1061]], "Thursday": [[589, 629], [635, 715], [741, 861], [869, 929], [991, 1021]], "Friday": [[571, 641], [648, 788], [876, 916], [995, 1055]]}, "free_org": {"Monday": [[540, 543], [623, 768], [918, 936], [1056, 1080]], "Tuesday": [[540, 674], [794, 808], [878, 912], [962, 971], [1001, 1007], [1037, 1080]], "Wednesday": [[540, 758], [888, 971], [1061, 1080]], "Thursday": [[540, 589], [629, 635], [715, 741], [861, 869], [929, 991], [1021, 1080]], "Friday": [[540, 571], [641, 648], [788, 876], [916, 995], [1055, 1080]]}, "constraint": ["none", null]}, "Chelsey Randall": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[658, 768], [949, 1039]], "Tuesday": [[648, 778], [780, 870], [897, 937], [1022, 1042]], "Wednesday": [[596, 706], [735, 855], [872, 952]], "Thursday": [[575, 625], [641, 671], [705, 745], [765, 785], [810, 840], [865, 925], [946, 1046]], "Friday": [[593, 663], [693, 733], [807, 877], [925, 995], [1004, 1074]]}, "free_org": {"Monday": [[540, 658], [768, 949], [1039, 1080]], "Tuesday": [[540, 648], [778, 780], [870, 897], [937, 1022], [1042, 1080]], "Wednesday": [[540, 596], [706, 735], [855, 872], [952, 1080]], "Thursday": [[540, 575], [625, 641], [671, 705], [745, 765], [785, 810], [840, 865], [925, 946], [1046, 1080]], "Friday": [[540, 593], [663, 693], [733, 807], [877, 925], [995, 1004], [1074, 1080]]}, "constraint": ["buffer", 5]}, "Kimberly Hudson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[554, 624], [670, 760], [771, 891], [914, 994]], "Tuesday": [[612, 662], [702, 732], [733, 873], [920, 970]], "Wednesday": [[555, 595], [621, 691], [695, 845], [866, 976]], "Thursday": [[556, 666], [745, 835], [912, 982]], "Friday": [[573, 723], [750, 860], [881, 931]]}, "free_org": {"Monday": [[540, 554], [624, 670], [760, 771], [891, 914], [994, 1080]], "Tuesday": [[540, 612], [662, 702], [732, 733], [873, 920], [970, 1080]], "Wednesday": [[540, 555], [595, 621], [691, 695], [845, 866], [976, 1080]], "Thursday": [[540, 556], [666, 745], [835, 912], [982, 1080]], "Friday": [[540, 573], [723, 750], [860, 881], [931, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 62, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nEric Cervantes, Paula Peters, Abigail Vasquez work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Eric Cervantes's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:01, from 11:21 to 12:38, from 13:48 to 14:29, anytime after 17:39\nTuesday: Booked at the following times: from 12:00 to 14:20, from 15:36 to 17:26\nWednesday: Free only at the following times: anytime before 9:23, from 10:13 to 10:18, from 10:38 to 11:11, from 11:31 to 11:40, from 12:10 to 12:47, from 15:07 to 15:28, from 15:48 to 16:55, anytime after 17:45\nThursday: Booked at the following times: from 9:28 to 10:48, from 11:13 to 12:53, from 13:55 to 14:35, from 14:41 to 16:01, from 16:43 to 17:53\nFriday: Booked at the following times: from 10:19 to 10:59, from 11:03 to 12:23, from 12:49 to 13:19, from 13:53 to 15:23, from 15:45 to 16:55\n\nThe schedule for Paula Peters's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 10:36, from 12:27 to 12:57, from 13:14 to 13:44, from 14:21 to 15:51\nTuesday: Booked at the following times: from 9:05 to 10:25, from 10:33 to 12:33, from 13:44 to 16:04\nWednesday: Booked at the following times: from 10:34 to 11:44, from 11:56 to 12:56, from 15:50 to 17:00\nThursday: Booked at the following times: from 12:09 to 14:39, from 16:09 to 17:59\nFriday: Booked at the following times: from 10:35 to 12:45, from 13:05 to 14:25, from 14:46 to 16:56\n\nThe schedule for Abigail Vasquez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:30 to 9:50, from 10:34 to 10:54, from 10:59 to 12:39, from 12:55 to 15:25\nTuesday: Booked at the following times: from 9:06 to 9:36, from 10:20 to 11:20, from 11:52 to 13:12, from 13:25 to 13:55, from 14:12 to 15:02, from 15:24 to 15:44, from 15:54 to 16:14, from 16:31 to 16:51\nWednesday: Booked at the following times: from 9:09 to 9:59, from 10:13 to 12:33, from 12:55 to 14:55\nThursday: Booked at the following times: from 9:12 to 9:42, from 10:55 to 11:15, from 11:52 to 12:32, from 13:03 to 13:53, from 14:32 to 15:42, from 15:43 to 16:33, from 17:31 to 17:51\nFriday: Booked at the following times: from 9:51 to 11:41, from 12:55 to 14:25, from 14:40 to 16:10\n\nEric Cervantes is in a timezone that is 1 hour behind of other participants\nPaula Peters can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nAbigail Vasquez requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Eric Cervantes": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 681], [758, 828], [869, 919], [919, 1059]], "Tuesday": [[720, 860], [936, 1046]], "Wednesday": [[563, 613], [618, 638], [671, 691], [700, 730], [767, 877], [877, 907], [928, 948], [1015, 1065]], "Thursday": [[568, 648], [673, 773], [835, 875], [881, 961], [1003, 1073]], "Friday": [[619, 659], [663, 743], [769, 799], [833, 923], [945, 1015]]}, "free_org": {"Monday": [[540, 601], [681, 758], [828, 869], [1059, 1080]], "Tuesday": [[540, 720], [860, 936], [1046, 1080]], "Wednesday": [[540, 563], [613, 618], [638, 671], [691, 700], [730, 767], [907, 928], [948, 1015], [1065, 1080]], "Thursday": [[540, 568], [648, 673], [773, 835], [875, 881], [961, 1003], [1073, 1080]], "Friday": [[540, 619], [659, 663], [743, 769], [799, 833], [923, 945], [1015, 1080]]}, "constraint": ["timezone", -1]}, "Paula Peters": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 636], [747, 777], [794, 824], [861, 951]], "Tuesday": [[545, 625], [633, 753], [824, 964]], "Wednesday": [[634, 704], [716, 776], [950, 1020]], "Thursday": [[729, 879], [969, 1079]], "Friday": [[635, 765], [785, 865], [886, 1016]]}, "free_org": {"Monday": [[540, 576], [636, 747], [777, 794], [824, 861], [951, 1080]], "Tuesday": [[540, 545], [625, 633], [753, 824], [964, 1080]], "Wednesday": [[540, 634], [704, 716], [776, 950], [1020, 1080]], "Thursday": [[540, 729], [879, 969], [1079, 1080]], "Friday": [[540, 635], [765, 785], [865, 886], [1016, 1080]]}, "constraint": ["conflict", 60]}, "Abigail Vasquez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[570, 590], [634, 654], [659, 759], [775, 925]], "Tuesday": [[546, 576], [620, 680], [712, 792], [805, 835], [852, 902], [924, 944], [954, 974], [991, 1011]], "Wednesday": [[549, 599], [613, 753], [775, 895]], "Thursday": [[552, 582], [655, 675], [712, 752], [783, 833], [872, 942], [943, 993], [1051, 1071]], "Friday": [[591, 701], [775, 865], [880, 970]]}, "free_org": {"Monday": [[540, 570], [590, 634], [654, 659], [759, 775], [925, 1080]], "Tuesday": [[540, 546], [576, 620], [680, 712], [792, 805], [835, 852], [902, 924], [944, 954], [974, 991], [1011, 1080]], "Wednesday": [[540, 549], [599, 613], [753, 775], [895, 1080]], "Thursday": [[540, 552], [582, 655], [675, 712], [752, 783], [833, 872], [942, 943], [993, 1051], [1071, 1080]], "Friday": [[540, 591], [701, 775], [865, 880], [970, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 55, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDiana Serrano, Catherine Walton, Brooke Davis work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Diana Serrano's week in their local time is as follows:\nMonday: Booked at the following times: from 9:37 to 10:17, from 12:01 to 13:01, from 14:21 to 15:51\nTuesday: Booked at the following times: from 10:04 to 12:04, from 14:43 to 16:33\nWednesday: Booked at the following times: from 9:32 to 11:32, from 11:49 to 12:09, from 12:48 to 13:38, from 15:11 to 15:31, from 17:36 to 17:56\nThursday: Booked at the following times: from 9:56 to 10:46, from 11:01 to 12:01, from 12:52 to 14:52, from 15:47 to 17:17\nFriday: Booked at the following times: from 10:06 to 10:46, from 10:53 to 11:13, from 11:14 to 13:24, from 14:06 to 15:36, from 16:36 to 17:06\n\nThe schedule for Catherine Walton's week in their local time is as follows:\nMonday: Booked at the following times: from 9:01 to 11:01, from 13:18 to 14:28, from 15:39 to 17:19\nTuesday: Booked at the following times: from 10:21 to 12:31, from 13:07 to 14:57, from 15:55 to 16:35\nWednesday: Booked at the following times: from 11:26 to 13:46, from 14:37 to 16:57\nThursday: Booked at the following times: from 13:29 to 15:09, from 15:49 to 17:39\nFriday: Booked at the following times: from 9:39 to 11:19, from 11:20 to 13:00, from 13:06 to 15:16, from 15:22 to 16:02\n\nThe schedule for Brooke Davis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:39 to 9:59, from 10:33 to 11:43, from 11:55 to 13:15, from 15:01 to 16:41\nTuesday: Booked at the following times: from 9:30 to 9:50, from 9:54 to 10:44, from 11:10 to 11:50, from 11:59 to 12:59, from 13:57 to 14:27, from 14:54 to 16:14, from 17:16 to 17:36\nWednesday: Booked at the following times: from 9:57 to 10:37, from 11:46 to 12:36, from 12:37 to 13:27, from 14:55 to 16:15, from 16:20 to 17:50\nThursday: Booked at the following times: from 9:08 to 9:38, from 9:51 to 11:41, from 11:56 to 12:46, from 13:57 to 14:37, from 16:02 to 17:32\nFriday: Booked at the following times: from 9:09 to 10:09, from 11:24 to 13:24, from 13:43 to 14:53, from 16:52 to 17:22\n\nBrooke Davis can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Diana Serrano": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[577, 617], [721, 781], [861, 951]], "Tuesday": [[604, 724], [883, 993]], "Wednesday": [[572, 692], [709, 729], [768, 818], [911, 931], [1056, 1076]], "Thursday": [[596, 646], [661, 721], [772, 892], [947, 1037]], "Friday": [[606, 646], [653, 673], [674, 804], [846, 936], [996, 1026]]}, "free_org": {"Monday": [[540, 577], [617, 721], [781, 861], [951, 1080]], "Tuesday": [[540, 604], [724, 883], [993, 1080]], "Wednesday": [[540, 572], [692, 709], [729, 768], [818, 911], [931, 1056], [1076, 1080]], "Thursday": [[540, 596], [646, 661], [721, 772], [892, 947], [1037, 1080]], "Friday": [[540, 606], [646, 653], [673, 674], [804, 846], [936, 996], [1026, 1080]]}, "constraint": ["none", null]}, "Catherine Walton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[541, 661], [798, 868], [939, 1039]], "Tuesday": [[621, 751], [787, 897], [955, 995]], "Wednesday": [[686, 826], [877, 1017]], "Thursday": [[809, 909], [949, 1059]], "Friday": [[579, 679], [680, 780], [786, 916], [922, 962]]}, "free_org": {"Monday": [[540, 541], [661, 798], [868, 939], [1039, 1080]], "Tuesday": [[540, 621], [751, 787], [897, 955], [995, 1080]], "Wednesday": [[540, 686], [826, 877], [1017, 1080]], "Thursday": [[540, 809], [909, 949], [1059, 1080]], "Friday": [[540, 579], [679, 680], [780, 786], [916, 922], [962, 1080]]}, "constraint": ["none", null]}, "Brooke Davis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[579, 599], [633, 703], [715, 795], [901, 1001]], "Tuesday": [[570, 590], [594, 644], [670, 710], [719, 779], [837, 867], [894, 974], [1036, 1056]], "Wednesday": [[597, 637], [706, 756], [757, 807], [895, 975], [980, 1070]], "Thursday": [[548, 578], [591, 701], [716, 766], [837, 877], [962, 1052]], "Friday": [[549, 609], [684, 804], [823, 893], [1012, 1042]]}, "free_org": {"Monday": [[540, 579], [599, 633], [703, 715], [795, 901], [1001, 1080]], "Tuesday": [[540, 570], [590, 594], [644, 670], [710, 719], [779, 837], [867, 894], [974, 1036], [1056, 1080]], "Wednesday": [[540, 597], [637, 706], [756, 757], [807, 895], [975, 980], [1070, 1080]], "Thursday": [[540, 548], [578, 591], [701, 716], [766, 837], [877, 962], [1052, 1080]], "Friday": [[540, 549], [609, 684], [804, 823], [893, 1012], [1042, 1080]]}, "constraint": ["conflict", 20]}}, "solution": {"max_duration": 85, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJoshua Townsend, Emma Perry, John Frey, Arthur Boyer, Ana Ward work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Joshua Townsend's week in their local time is as follows:\nMonday: Booked at the following times: from 10:11 to 11:21, from 11:47 to 13:17, from 13:36 to 14:26, from 15:50 to 16:30, from 16:33 to 17:13\nTuesday: Free only at the following times: anytime before 10:57, from 11:37 to 12:53, from 13:23 to 13:52, from 17:02 to 17:03, anytime after 17:43\nWednesday: Booked at the following times: from 10:20 to 12:20, from 14:19 to 16:19\nThursday: Booked at the following times: from 12:03 to 14:13, from 16:03 to 17:03, from 17:26 to 17:56\nFriday: Booked at the following times: from 9:48 to 10:28, from 10:53 to 13:23, from 14:13 to 15:03, from 15:29 to 16:29, from 17:29 to 17:49\n\nThe schedule for Emma Perry's week in their local time is as follows:\nMonday: Booked at the following times: from 10:13 to 12:33, from 13:41 to 14:41, from 15:35 to 16:25\nTuesday: Free only at the following times: anytime before 10:15, from 10:35 to 11:49, from 13:09 to 14:50, anytime after 17:50\nWednesday: Booked at the following times: from 12:09 to 13:29, from 13:55 to 15:25, from 15:42 to 16:42, from 17:03 to 17:53\nThursday: Booked at the following times: from 9:10 to 9:50, from 10:23 to 11:33, from 12:00 to 13:20, from 13:25 to 14:05, from 16:06 to 17:46\nFriday: Booked at the following times: from 9:19 to 10:49, from 12:07 to 13:37, from 14:55 to 15:25, from 16:17 to 17:07, from 17:10 to 17:30\n\nThe schedule for John Frey's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 11:46, from 11:54 to 14:14\nTuesday: Booked at the following times: from 9:35 to 11:35, from 12:47 to 14:47, from 16:42 to 17:02\nWednesday: Booked at the following times: from 9:41 to 10:11, from 12:27 to 13:47, from 14:41 to 16:51\nThursday: Booked at the following times: from 10:18 to 11:38, from 12:33 to 13:33, from 14:07 to 15:37, from 16:22 to 16:52, from 17:03 to 17:33\nFriday: Booked at the following times: from 13:27 to 15:37, from 15:57 to 17:37\n\nThe schedule for Arthur Boyer's week in their local time is as follows:\nMonday: Booked at the following times: from 10:30 to 12:50, from 13:07 to 14:57, from 15:08 to 17:28\nTuesday: Booked at the following times: from 9:18 to 10:58, from 12:11 to 12:51, from 13:18 to 13:38, from 14:25 to 16:15, from 16:58 to 17:58\nWednesday: Booked at the following times: from 9:22 to 9:52, from 9:54 to 10:44, from 14:37 to 14:57, from 15:15 to 16:25, from 16:56 to 17:46\nThursday: Booked at the following times: from 9:47 to 10:37, from 12:54 to 14:24, from 15:31 to 17:11\nFriday: Booked at the following times: from 9:10 to 10:40, from 11:22 to 12:52, from 14:56 to 17:16\n\nThe schedule for Ana Ward's week in their local time is as follows:\nMonday: Booked at the following times: from 9:40 to 10:00, from 12:08 to 12:38, from 12:55 to 13:15, from 14:01 to 16:31\nTuesday: Booked at the following times: from 9:57 to 11:27, from 12:33 to 14:43, from 15:02 to 15:22, from 16:59 to 17:39\nWednesday: Booked at the following times: from 10:24 to 10:44, from 11:50 to 13:30, from 13:37 to 15:47\nThursday: Booked at the following times: from 9:40 to 10:20, from 10:53 to 12:53, from 12:56 to 13:16, from 14:18 to 16:08, from 17:13 to 17:53\nFriday: Booked at the following times: from 9:09 to 10:39, from 11:08 to 12:08, from 13:03 to 13:43, from 16:53 to 17:13\n\nJoshua Townsend requires 10 minutes free before and after the meeting\nEmma Perry needs a break for lunch on Tuesday from 11:06 to 11:36\nJohn Frey can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nArthur Boyer needs a break for lunch on Friday from 13:00 to 13:30\nAna Ward requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Joshua Townsend": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[611, 681], [707, 797], [816, 866], [950, 990], [993, 1033]], "Tuesday": [[657, 697], [773, 803], [832, 872], [872, 1022], [1023, 1063]], "Wednesday": [[620, 740], [859, 979]], "Thursday": [[723, 853], [963, 1023], [1046, 1076]], "Friday": [[588, 628], [653, 803], [853, 903], [929, 989], [1049, 1069]]}, "free_org": {"Monday": [[540, 611], [681, 707], [797, 816], [866, 950], [990, 993], [1033, 1080]], "Tuesday": [[540, 657], [697, 773], [803, 832], [1022, 1023], [1063, 1080]], "Wednesday": [[540, 620], [740, 859], [979, 1080]], "Thursday": [[540, 723], [853, 963], [1023, 1046], [1076, 1080]], "Friday": [[540, 588], [628, 653], [803, 853], [903, 929], [989, 1049], [1069, 1080]]}, "constraint": ["buffer", 10]}, "Emma Perry": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[613, 753], [821, 881], [935, 985]], "Tuesday": [[615, 635], [709, 789], [890, 950], [950, 1070]], "Wednesday": [[729, 809], [835, 925], [942, 1002], [1023, 1073]], "Thursday": [[550, 590], [623, 693], [720, 800], [805, 845], [966, 1066]], "Friday": [[559, 649], [727, 817], [895, 925], [977, 1027], [1030, 1050]]}, "free_org": {"Monday": [[540, 613], [753, 821], [881, 935], [985, 1080]], "Tuesday": [[540, 615], [635, 709], [789, 890], [1070, 1080]], "Wednesday": [[540, 729], [809, 835], [925, 942], [1002, 1023], [1073, 1080]], "Thursday": [[540, 550], [590, 623], [693, 720], [800, 805], [845, 966], [1066, 1080]], "Friday": [[540, 559], [649, 727], [817, 895], [925, 977], [1027, 1030], [1050, 1080]]}, "constraint": ["lunch", ["Tuesday", [666, 696]]]}, "John Frey": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 706], [714, 854]], "Tuesday": [[575, 695], [767, 887], [1002, 1022]], "Wednesday": [[581, 611], [747, 827], [881, 1011]], "Thursday": [[618, 698], [753, 813], [847, 937], [982, 1012], [1023, 1053]], "Friday": [[807, 937], [957, 1057]]}, "free_org": {"Monday": [[540, 576], [706, 714], [854, 1080]], "Tuesday": [[540, 575], [695, 767], [887, 1002], [1022, 1080]], "Wednesday": [[540, 581], [611, 747], [827, 881], [1011, 1080]], "Thursday": [[540, 618], [698, 753], [813, 847], [937, 982], [1012, 1023], [1053, 1080]], "Friday": [[540, 807], [937, 957], [1057, 1080]]}, "constraint": ["conflict", 20]}, "Arthur Boyer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[630, 770], [787, 897], [908, 1048]], "Tuesday": [[558, 658], [731, 771], [798, 818], [865, 975], [1018, 1078]], "Wednesday": [[562, 592], [594, 644], [877, 897], [915, 985], [1016, 1066]], "Thursday": [[587, 637], [774, 864], [931, 1031]], "Friday": [[550, 640], [682, 772], [896, 1036]]}, "free_org": {"Monday": [[540, 630], [770, 787], [897, 908], [1048, 1080]], "Tuesday": [[540, 558], [658, 731], [771, 798], [818, 865], [975, 1018], [1078, 1080]], "Wednesday": [[540, 562], [592, 594], [644, 877], [897, 915], [985, 1016], [1066, 1080]], "Thursday": [[540, 587], [637, 774], [864, 931], [1031, 1080]], "Friday": [[540, 550], [640, 682], [772, 896], [1036, 1080]]}, "constraint": ["lunch", ["Friday", [780, 810]]]}, "Ana Ward": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[580, 600], [728, 758], [775, 795], [841, 991]], "Tuesday": [[597, 687], [753, 883], [902, 922], [1019, 1059]], "Wednesday": [[624, 644], [710, 810], [817, 947]], "Thursday": [[580, 620], [653, 773], [776, 796], [858, 968], [1033, 1073]], "Friday": [[549, 639], [668, 728], [783, 823], [1013, 1033]]}, "free_org": {"Monday": [[540, 580], [600, 728], [758, 775], [795, 841], [991, 1080]], "Tuesday": [[540, 597], [687, 753], [883, 902], [922, 1019], [1059, 1080]], "Wednesday": [[540, 624], [644, 710], [810, 817], [947, 1080]], "Thursday": [[540, 580], [620, 653], [773, 776], [796, 858], [968, 1033], [1073, 1080]], "Friday": [[540, 549], [639, 668], [728, 783], [823, 1013], [1033, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 25, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLeslie Hill, Amy Little, Hayley Day, Mr. Christopher Turner Jr. work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Leslie Hill's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:01, from 10:21 to 10:33, from 11:33 to 12:43, from 13:03 to 13:05, from 15:05 to 15:54, from 16:24 to 17:02, anytime after 17:22\nTuesday: Booked at the following times: from 10:38 to 11:38, from 12:19 to 13:49, from 14:20 to 15:40\nWednesday: Booked at the following times: from 10:46 to 13:06, from 13:21 to 13:51, from 14:37 to 15:17, from 15:26 to 15:56, from 15:57 to 17:47\nThursday: Booked at the following times: from 9:09 to 9:59, from 10:36 to 12:36, from 15:10 to 16:40\nFriday: Booked at the following times: from 9:35 to 10:15, from 10:55 to 11:25, from 11:35 to 12:25, from 12:26 to 14:26, from 14:50 to 16:20\n\nThe schedule for Amy Little's week in their local time is as follows:\nMonday: Booked at the following times: from 11:41 to 14:11, from 16:07 to 17:37\nTuesday: Booked at the following times: from 9:38 to 10:18, from 10:53 to 12:43, from 12:55 to 13:35, from 13:50 to 14:10, from 15:23 to 16:53\nWednesday: Booked at the following times: from 9:12 to 11:22, from 12:19 to 12:49, from 16:23 to 16:53\nThursday: Booked at the following times: from 10:26 to 12:36, from 13:30 to 15:00, from 15:26 to 16:26\nFriday: Booked at the following times: from 10:45 to 11:45, from 12:38 to 14:48, from 16:09 to 17:49\n\nThe schedule for Hayley Day's week in their local time is as follows:\nMonday: Booked at the following times: from 9:27 to 11:57, from 12:23 to 14:13, from 16:27 to 17:37\nTuesday: Booked at the following times: from 10:05 to 10:25, from 10:53 to 13:23, from 13:46 to 14:26, from 15:51 to 17:21\nWednesday: Booked at the following times: from 11:06 to 11:36, from 12:39 to 14:49, from 15:18 to 16:18\nThursday: Booked at the following times: from 9:57 to 11:37, from 14:06 to 15:36, from 16:21 to 17:51\nFriday: Booked at the following times: from 10:41 to 12:11, from 13:16 to 15:36, from 15:43 to 17:23\n\nThe schedule for Mr. Christopher Turner Jr.'s week in their local time is as follows:\nMonday: Free only at the following times: anytime before 11:07, from 11:27 to 13:26, from 13:46 to 14:09, from 14:59 to 15:03, anytime after 17:13\nTuesday: Booked at the following times: from 9:46 to 11:46, from 14:19 to 16:39\nWednesday: Booked at the following times: from 9:15 to 11:15, from 12:36 to 14:26, from 14:43 to 16:23, from 16:50 to 17:20\nThursday: Booked at the following times: from 11:38 to 13:28, from 13:36 to 14:36, from 15:03 to 16:13\nFriday: Booked at the following times: from 9:45 to 11:25, from 12:17 to 13:37, from 14:21 to 16:21\n\nLeslie Hill is in a timezone that is 1 hour behind of other participants\nAmy Little is in a timezone that is 1 hour behind of other participants\nHayley Day needs a break for lunch on Thursday from 12:34 to 13:04\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Leslie Hill": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[541, 621], [633, 693], [763, 783], [785, 835], [835, 905], [954, 984], [1022, 1042]], "Tuesday": [[638, 698], [739, 829], [860, 940]], "Wednesday": [[646, 786], [801, 831], [877, 917], [926, 956], [957, 1067]], "Thursday": [[549, 599], [636, 756], [910, 1000]], "Friday": [[575, 615], [655, 685], [695, 745], [746, 866], [890, 980]]}, "free_org": {"Monday": [[540, 541], [621, 633], [693, 763], [783, 785], [905, 954], [984, 1022], [1042, 1080]], "Tuesday": [[540, 638], [698, 739], [829, 860], [940, 1080]], "Wednesday": [[540, 646], [786, 801], [831, 877], [917, 926], [956, 957], [1067, 1080]], "Thursday": [[540, 549], [599, 636], [756, 910], [1000, 1080]], "Friday": [[540, 575], [615, 655], [685, 695], [745, 746], [866, 890], [980, 1080]]}, "constraint": ["timezone", -1]}, "Amy Little": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[701, 851], [967, 1057]], "Tuesday": [[578, 618], [653, 763], [775, 815], [830, 850], [923, 1013]], "Wednesday": [[552, 682], [739, 769], [983, 1013]], "Thursday": [[626, 756], [810, 900], [926, 986]], "Friday": [[645, 705], [758, 888], [969, 1069]]}, "free_org": {"Monday": [[540, 701], [851, 967], [1057, 1080]], "Tuesday": [[540, 578], [618, 653], [763, 775], [815, 830], [850, 923], [1013, 1080]], "Wednesday": [[540, 552], [682, 739], [769, 983], [1013, 1080]], "Thursday": [[540, 626], [756, 810], [900, 926], [986, 1080]], "Friday": [[540, 645], [705, 758], [888, 969], [1069, 1080]]}, "constraint": ["timezone", -1]}, "Hayley Day": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[567, 717], [743, 853], [987, 1057]], "Tuesday": [[605, 625], [653, 803], [826, 866], [951, 1041]], "Wednesday": [[666, 696], [759, 889], [918, 978]], "Thursday": [[597, 697], [846, 936], [981, 1071]], "Friday": [[641, 731], [796, 936], [943, 1043]]}, "free_org": {"Monday": [[540, 567], [717, 743], [853, 987], [1057, 1080]], "Tuesday": [[540, 605], [625, 653], [803, 826], [866, 951], [1041, 1080]], "Wednesday": [[540, 666], [696, 759], [889, 918], [978, 1080]], "Thursday": [[540, 597], [697, 846], [936, 981], [1071, 1080]], "Friday": [[540, 641], [731, 796], [936, 943], [1043, 1080]]}, "constraint": ["lunch", ["Thursday", [754, 784]]]}, "Mr. Christopher Turner Jr.": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[667, 687], [806, 826], [849, 899], [903, 963], [963, 1033]], "Tuesday": [[586, 706], [859, 999]], "Wednesday": [[555, 675], [756, 866], [883, 983], [1010, 1040]], "Thursday": [[698, 808], [816, 876], [903, 973]], "Friday": [[585, 685], [737, 817], [861, 981]]}, "free_org": {"Monday": [[540, 667], [687, 806], [826, 849], [899, 903], [1033, 1080]], "Tuesday": [[540, 586], [706, 859], [999, 1080]], "Wednesday": [[540, 555], [675, 756], [866, 883], [983, 1010], [1040, 1080]], "Thursday": [[540, 698], [808, 816], [876, 903], [973, 1080]], "Friday": [[540, 585], [685, 737], [817, 861], [981, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 9, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRyan Henry, Joseph Baker, Kathy Carr, Tara Lee, Jennifer Bennett work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ryan Henry's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 10:23, from 10:45 to 12:25, from 13:13 to 13:53, from 16:47 to 17:07\nTuesday: Booked at the following times: from 9:36 to 11:36, from 12:12 to 13:32\nWednesday: Booked at the following times: from 9:10 to 10:50, from 11:09 to 12:29, from 14:05 to 15:05, from 15:29 to 15:59, from 16:06 to 17:56\nThursday: Booked at the following times: from 9:23 to 10:03, from 12:17 to 12:57, from 13:48 to 16:08, from 16:12 to 16:32, from 17:01 to 17:31\nFriday: Booked at the following times: from 10:11 to 12:01, from 12:17 to 12:57, from 13:29 to 13:59, from 14:10 to 14:50, from 15:13 to 16:03, from 16:15 to 16:55\n\nThe schedule for Joseph Baker's week in their local time is as follows:\nMonday: Booked at the following times: from 10:45 to 13:05, from 14:32 to 14:52, from 15:07 to 15:47, from 16:37 to 17:07\nTuesday: Booked at the following times: from 9:48 to 11:58, from 14:29 to 15:19, from 15:47 to 16:17\nWednesday: Booked at the following times: from 10:29 to 11:49, from 13:18 to 15:48, from 16:58 to 17:38\nThursday: Booked at the following times: from 9:16 to 10:26, from 10:46 to 12:56\nFriday: Booked at the following times: from 10:37 to 12:27, from 13:04 to 13:34, from 14:29 to 16:49\n\nThe schedule for Kathy Carr's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:17, from 10:07 to 10:12, from 10:42 to 11:44, from 13:14 to 13:15, from 13:55 to 14:11, from 15:01 to 15:19, from 15:59 to 16:11, from 16:31 to 17:39, anytime after 17:59\nTuesday: Booked at the following times: from 9:01 to 10:51, from 13:04 to 13:54, from 14:14 to 15:54, from 16:41 to 17:41\nWednesday: Booked at the following times: from 12:19 to 13:19, from 13:37 to 14:47, from 15:22 to 17:42\nThursday: Booked at the following times: from 9:08 to 11:38, from 12:32 to 13:52, from 14:10 to 14:40, from 16:35 to 17:35\nFriday: Booked at the following times: from 9:06 to 10:56, from 11:18 to 12:08, from 12:24 to 13:04, from 13:08 to 14:08, from 14:34 to 15:24\n\nThe schedule for Tara Lee's week in their local time is as follows:\nMonday: Booked at the following times: from 9:48 to 12:08, from 12:17 to 12:47, from 15:01 to 17:01, from 17:11 to 17:51\nTuesday: Booked at the following times: from 9:07 to 9:27, from 9:30 to 10:50, from 12:29 to 14:59, from 16:24 to 17:54\nWednesday: Booked at the following times: from 10:55 to 12:25, from 12:52 to 15:12\nThursday: Booked at the following times: from 9:57 to 10:17, from 10:42 to 12:52, from 12:53 to 13:33, from 14:22 to 14:52, from 15:22 to 16:12, from 16:17 to 16:57, from 17:39 to 17:59\nFriday: Booked at the following times: from 9:49 to 10:29, from 11:50 to 14:00, from 14:52 to 15:22, from 16:49 to 17:49\n\nThe schedule for Jennifer Bennett's week in their local time is as follows:\nMonday: Booked at the following times: from 11:02 to 13:32, from 15:10 to 15:40, from 15:42 to 17:42\nTuesday: Booked at the following times: from 9:58 to 10:48, from 11:03 to 13:13, from 14:36 to 15:26, from 15:28 to 16:18, from 16:50 to 17:30\nWednesday: Free only at the following times: anytime before 10:03, from 11:43 to 13:12, from 14:12 to 14:28, from 15:08 to 15:25, anytime after 16:35\nThursday: Booked at the following times: from 9:38 to 11:18, from 11:51 to 12:11, from 12:53 to 13:23, from 13:29 to 14:19, from 14:55 to 16:55\nFriday: Booked at the following times: from 9:18 to 10:48, from 11:02 to 13:32, from 14:12 to 15:02, from 15:36 to 15:56, from 16:16 to 16:46\n\nRyan Henry can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJoseph Baker is in a timezone that is 2 hours ahead of other participants\nTara Lee is in a timezone that is 2 hours behind of other participants\nJennifer Bennett is in a timezone that is 2 hours behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ryan Henry": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 623], [645, 745], [793, 833], [1007, 1027]], "Tuesday": [[576, 696], [732, 812]], "Wednesday": [[550, 650], [669, 749], [845, 905], [929, 959], [966, 1076]], "Thursday": [[563, 603], [737, 777], [828, 968], [972, 992], [1021, 1051]], "Friday": [[611, 721], [737, 777], [809, 839], [850, 890], [913, 963], [975, 1015]]}, "free_org": {"Monday": [[540, 573], [623, 645], [745, 793], [833, 1007], [1027, 1080]], "Tuesday": [[540, 576], [696, 732], [812, 1080]], "Wednesday": [[540, 550], [650, 669], [749, 845], [905, 929], [959, 966], [1076, 1080]], "Thursday": [[540, 563], [603, 737], [777, 828], [968, 972], [992, 1021], [1051, 1080]], "Friday": [[540, 611], [721, 737], [777, 809], [839, 850], [890, 913], [963, 975], [1015, 1080]]}, "constraint": ["conflict", 20]}, "Joseph Baker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[645, 785], [872, 892], [907, 947], [997, 1027]], "Tuesday": [[588, 718], [869, 919], [947, 977]], "Wednesday": [[629, 709], [798, 948], [1018, 1058]], "Thursday": [[556, 626], [646, 776]], "Friday": [[637, 747], [784, 814], [869, 1009]]}, "free_org": {"Monday": [[540, 645], [785, 872], [892, 907], [947, 997], [1027, 1080]], "Tuesday": [[540, 588], [718, 869], [919, 947], [977, 1080]], "Wednesday": [[540, 629], [709, 798], [948, 1018], [1058, 1080]], "Thursday": [[540, 556], [626, 646], [776, 1080]], "Friday": [[540, 637], [747, 784], [814, 869], [1009, 1080]]}, "constraint": ["timezone", 2]}, "Kathy Carr": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[557, 587], [587, 607], [612, 642], [704, 794], [795, 835], [851, 901], [919, 959], [971, 991], [1059, 1079]], "Tuesday": [[541, 651], [784, 834], [854, 954], [1001, 1061]], "Wednesday": [[739, 799], [817, 887], [922, 1062]], "Thursday": [[548, 698], [752, 832], [850, 880], [995, 1055]], "Friday": [[546, 656], [678, 728], [744, 784], [788, 848], [874, 924]]}, "free_org": {"Monday": [[540, 557], [607, 612], [642, 704], [794, 795], [835, 851], [901, 919], [959, 971], [991, 1059], [1079, 1080]], "Tuesday": [[540, 541], [651, 784], [834, 854], [954, 1001], [1061, 1080]], "Wednesday": [[540, 739], [799, 817], [887, 922], [1062, 1080]], "Thursday": [[540, 548], [698, 752], [832, 850], [880, 995], [1055, 1080]], "Friday": [[540, 546], [656, 678], [728, 744], [784, 788], [848, 874], [924, 1080]]}, "constraint": ["none", null]}, "Tara Lee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[588, 728], [737, 767], [901, 1021], [1031, 1071]], "Tuesday": [[547, 567], [570, 650], [749, 899], [984, 1074]], "Wednesday": [[655, 745], [772, 912]], "Thursday": [[597, 617], [642, 772], [773, 813], [862, 892], [922, 972], [977, 1017], [1059, 1079]], "Friday": [[589, 629], [710, 840], [892, 922], [1009, 1069]]}, "free_org": {"Monday": [[540, 588], [728, 737], [767, 901], [1021, 1031], [1071, 1080]], "Tuesday": [[540, 547], [567, 570], [650, 749], [899, 984], [1074, 1080]], "Wednesday": [[540, 655], [745, 772], [912, 1080]], "Thursday": [[540, 597], [617, 642], [772, 773], [813, 862], [892, 922], [972, 977], [1017, 1059], [1079, 1080]], "Friday": [[540, 589], [629, 710], [840, 892], [922, 1009], [1069, 1080]]}, "constraint": ["timezone", -2]}, "Jennifer Bennett": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[662, 812], [910, 940], [942, 1062]], "Tuesday": [[598, 648], [663, 793], [876, 926], [928, 978], [1010, 1050]], "Wednesday": [[603, 703], [792, 852], [868, 908], [925, 945], [945, 995]], "Thursday": [[578, 678], [711, 731], [773, 803], [809, 859], [895, 1015]], "Friday": [[558, 648], [662, 812], [852, 902], [936, 956], [976, 1006]]}, "free_org": {"Monday": [[540, 662], [812, 910], [940, 942], [1062, 1080]], "Tuesday": [[540, 598], [648, 663], [793, 876], [926, 928], [978, 1010], [1050, 1080]], "Wednesday": [[540, 603], [703, 792], [852, 868], [908, 925], [995, 1080]], "Thursday": [[540, 578], [678, 711], [731, 773], [803, 809], [859, 895], [1015, 1080]], "Friday": [[540, 558], [648, 662], [812, 852], [902, 936], [956, 976], [1006, 1080]]}, "constraint": ["timezone", -2]}}, "solution": {"max_duration": 9, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nKaren Hunter, Jaime Morton, Sydney Faulkner, Mary Stein, Marcus Rich MD work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Karen Hunter's week in their local time is as follows:\nMonday: Booked at the following times: from 10:01 to 11:51, from 12:11 to 13:01, from 13:07 to 13:37, from 14:53 to 16:03\nTuesday: Booked at the following times: from 9:24 to 9:54, from 10:33 to 11:23, from 12:32 to 14:42, from 15:28 to 16:08, from 16:12 to 16:42\nWednesday: Booked at the following times: from 12:27 to 12:47, from 12:57 to 13:27, from 13:46 to 15:56, from 16:20 to 17:10\nThursday: Booked at the following times: from 9:23 to 11:33, from 13:18 to 14:08, from 14:14 to 16:04\nFriday: Booked at the following times: from 10:53 to 11:33, from 11:45 to 13:35, from 14:23 to 15:53, from 16:19 to 17:49\n\nThe schedule for Jaime Morton's week in their local time is as follows:\nMonday: Booked at the following times: from 10:14 to 10:44, from 12:16 to 12:56, from 13:00 to 13:30, from 14:30 to 17:00, from 17:01 to 17:21\nTuesday: Booked at the following times: from 10:57 to 11:17, from 12:15 to 14:35, from 15:13 to 17:13\nWednesday: Free only at the following times: from 9:40 to 10:06, from 12:36 to 12:59, from 13:29 to 13:37, from 13:57 to 15:20, anytime after 16:50\nThursday: Booked at the following times: from 9:21 to 10:11, from 13:32 to 15:42\nFriday: Booked at the following times: from 9:30 to 10:30, from 10:54 to 11:14, from 11:21 to 11:51, from 12:29 to 13:29, from 13:42 to 14:02, from 14:09 to 16:19\n\nThe schedule for Sydney Faulkner's week in their local time is as follows:\nMonday: Booked at the following times: from 11:54 to 12:24, from 12:41 to 14:11, from 14:45 to 16:15\nTuesday: Booked at the following times: from 10:12 to 11:02, from 12:12 to 13:32, from 13:53 to 15:23, from 15:30 to 15:50, from 16:07 to 16:37\nWednesday: Booked at the following times: from 9:06 to 10:26, from 12:44 to 14:54, from 15:07 to 17:37\nThursday: Booked at the following times: from 10:35 to 11:45, from 12:51 to 13:11, from 15:02 to 17:12, from 17:22 to 17:52\nFriday: Booked at the following times: from 10:06 to 10:46, from 10:50 to 11:50, from 11:53 to 14:23, from 14:35 to 16:35\n\nThe schedule for Mary Stein's week in their local time is as follows:\nMonday: Booked at the following times: from 9:22 to 10:52, from 11:13 to 12:53, from 13:28 to 14:08, from 15:23 to 17:53\nTuesday: Booked at the following times: from 9:43 to 12:03, from 12:09 to 14:29, from 15:54 to 17:04\nWednesday: Booked at the following times: from 9:07 to 9:57, from 10:43 to 11:13, from 12:17 to 14:27, from 14:45 to 16:45\nThursday: Booked at the following times: from 11:55 to 13:45, from 15:15 to 17:25, from 17:27 to 17:47\nFriday: Booked at the following times: from 9:46 to 11:36, from 13:09 to 13:59, from 14:27 to 16:37\n\nThe schedule for Marcus Rich MD's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 10:59, from 11:35 to 11:55, from 12:40 to 13:10, from 13:31 to 14:21, from 15:33 to 15:53, from 16:25 to 17:55\nTuesday: Booked at the following times: from 9:10 to 11:20, from 12:40 to 15:10, from 15:29 to 17:49\nWednesday: Booked at the following times: from 10:02 to 11:22, from 12:02 to 12:22, from 14:13 to 14:33, from 14:42 to 15:22, from 16:02 to 17:42\nThursday: Booked at the following times: from 9:12 to 11:02, from 16:07 to 17:57\nFriday: Booked at the following times: from 9:37 to 10:37, from 11:34 to 13:24, from 15:10 to 16:20\n\nJaime Morton is in a timezone that is 2 hours behind of other participants\nMary Stein is in a timezone that is 3 hours behind of other participants\nMarcus Rich MD is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Karen Hunter": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 711], [731, 781], [787, 817], [893, 963]], "Tuesday": [[564, 594], [633, 683], [752, 882], [928, 968], [972, 1002]], "Wednesday": [[747, 767], [777, 807], [826, 956], [980, 1030]], "Thursday": [[563, 693], [798, 848], [854, 964]], "Friday": [[653, 693], [705, 815], [863, 953], [979, 1069]]}, "free_org": {"Monday": [[540, 601], [711, 731], [781, 787], [817, 893], [963, 1080]], "Tuesday": [[540, 564], [594, 633], [683, 752], [882, 928], [968, 972], [1002, 1080]], "Wednesday": [[540, 747], [767, 777], [807, 826], [956, 980], [1030, 1080]], "Thursday": [[540, 563], [693, 798], [848, 854], [964, 1080]], "Friday": [[540, 653], [693, 705], [815, 863], [953, 979], [1069, 1080]]}, "constraint": ["none", null]}, "Jaime Morton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[614, 644], [736, 776], [780, 810], [870, 1020], [1021, 1041]], "Tuesday": [[657, 677], [735, 875], [913, 1033]], "Wednesday": [[540, 580], [606, 756], [779, 809], [817, 837], [920, 990], [990, 1010]], "Thursday": [[561, 611], [812, 942]], "Friday": [[570, 630], [654, 674], [681, 711], [749, 809], [822, 842], [849, 979]]}, "free_org": {"Monday": [[540, 614], [644, 736], [776, 780], [810, 870], [1020, 1021], [1041, 1080]], "Tuesday": [[540, 657], [677, 735], [875, 913], [1033, 1080]], "Wednesday": [[580, 606], [756, 779], [809, 817], [837, 920], [1010, 1080]], "Thursday": [[540, 561], [611, 812], [942, 1080]], "Friday": [[540, 570], [630, 654], [674, 681], [711, 749], [809, 822], [842, 849], [979, 1080]]}, "constraint": ["timezone", -2]}, "Sydney Faulkner": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[714, 744], [761, 851], [885, 975]], "Tuesday": [[612, 662], [732, 812], [833, 923], [930, 950], [967, 997]], "Wednesday": [[546, 626], [764, 894], [907, 1057]], "Thursday": [[635, 705], [771, 791], [902, 1032], [1042, 1072]], "Friday": [[606, 646], [650, 710], [713, 863], [875, 995]]}, "free_org": {"Monday": [[540, 714], [744, 761], [851, 885], [975, 1080]], "Tuesday": [[540, 612], [662, 732], [812, 833], [923, 930], [950, 967], [997, 1080]], "Wednesday": [[540, 546], [626, 764], [894, 907], [1057, 1080]], "Thursday": [[540, 635], [705, 771], [791, 902], [1032, 1042], [1072, 1080]], "Friday": [[540, 606], [646, 650], [710, 713], [863, 875], [995, 1080]]}, "constraint": ["none", null]}, "Mary Stein": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[562, 652], [673, 773], [808, 848], [923, 1073]], "Tuesday": [[583, 723], [729, 869], [954, 1024]], "Wednesday": [[547, 597], [643, 673], [737, 867], [885, 1005]], "Thursday": [[715, 825], [915, 1045], [1047, 1067]], "Friday": [[586, 696], [789, 839], [867, 997]]}, "free_org": {"Monday": [[540, 562], [652, 673], [773, 808], [848, 923], [1073, 1080]], "Tuesday": [[540, 583], [723, 729], [869, 954], [1024, 1080]], "Wednesday": [[540, 547], [597, 643], [673, 737], [867, 885], [1005, 1080]], "Thursday": [[540, 715], [825, 915], [1045, 1047], [1067, 1080]], "Friday": [[540, 586], [696, 789], [839, 867], [997, 1080]]}, "constraint": ["timezone", -3]}, "Marcus Rich MD": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 659], [695, 715], [760, 790], [811, 861], [933, 953], [985, 1075]], "Tuesday": [[550, 680], [760, 910], [929, 1069]], "Wednesday": [[602, 682], [722, 742], [853, 873], [882, 922], [962, 1062]], "Thursday": [[552, 662], [967, 1077]], "Friday": [[577, 637], [694, 804], [910, 980]]}, "free_org": {"Monday": [[540, 559], [659, 695], [715, 760], [790, 811], [861, 933], [953, 985], [1075, 1080]], "Tuesday": [[540, 550], [680, 760], [910, 929], [1069, 1080]], "Wednesday": [[540, 602], [682, 722], [742, 853], [873, 882], [922, 962], [1062, 1080]], "Thursday": [[540, 552], [662, 967], [1077, 1080]], "Friday": [[540, 577], [637, 694], [804, 910], [980, 1080]]}, "constraint": ["timezone", -1]}}, "solution": {"max_duration": 40, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nKelly Roberts, Terry Simmons, Kelsey Jones, Denise Schmidt, Meagan Smith, Tommy Lee work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Kelly Roberts's week in their local time is as follows:\nMonday: Booked at the following times: from 9:27 to 11:07, from 11:21 to 12:31, from 15:10 to 15:40, from 16:30 to 17:10\nTuesday: Booked at the following times: from 11:23 to 13:53, from 14:07 to 15:57\nWednesday: Booked at the following times: from 9:12 to 10:32, from 13:21 to 15:41, from 16:18 to 16:48\nThursday: Booked at the following times: from 9:20 to 10:50, from 11:28 to 12:48, from 14:48 to 16:38, from 16:52 to 17:52\nFriday: Booked at the following times: from 11:54 to 13:14, from 13:53 to 15:03, from 15:20 to 17:30\n\nThe schedule for Terry Simmons's week in their local time is as follows:\nMonday: Booked at the following times: from 9:28 to 10:38, from 12:03 to 12:23, from 12:30 to 14:10, from 14:40 to 15:20, from 16:44 to 17:24\nTuesday: Booked at the following times: from 10:52 to 12:12, from 13:59 to 14:59, from 15:31 to 17:21\nWednesday: Booked at the following times: from 12:21 to 13:21, from 14:36 to 16:36\nThursday: Booked at the following times: from 9:51 to 10:11, from 10:17 to 12:07, from 12:40 to 14:20, from 14:53 to 15:13, from 15:26 to 16:06, from 16:52 to 17:22\nFriday: Booked at the following times: from 9:03 to 10:13, from 10:17 to 10:57, from 11:27 to 12:07, from 13:25 to 13:55, from 14:21 to 16:21, from 16:44 to 17:14\n\nThe schedule for Kelsey Jones's week in their local time is as follows:\nMonday: Booked at the following times: from 10:02 to 11:52, from 12:24 to 14:34, from 15:11 to 16:11\nTuesday: Booked at the following times: from 9:13 to 9:53, from 10:07 to 11:57, from 12:42 to 14:52\nWednesday: Booked at the following times: from 10:38 to 11:48, from 13:11 to 15:21, from 15:36 to 17:26\nThursday: Booked at the following times: from 9:48 to 10:58, from 11:36 to 12:26, from 13:15 to 13:45, from 13:46 to 14:06, from 14:32 to 14:52, from 15:10 to 15:40, from 15:56 to 17:06, from 17:34 to 17:54\nFriday: Booked at the following times: from 9:21 to 10:51, from 11:57 to 13:47, from 15:56 to 17:36\n\nThe schedule for Denise Schmidt's week in their local time is as follows:\nMonday: Booked at the following times: from 9:01 to 9:21, from 9:28 to 10:18, from 11:35 to 12:35, from 13:06 to 13:36, from 13:38 to 15:38, from 16:29 to 17:39\nTuesday: Booked at the following times: from 10:04 to 11:04, from 11:41 to 12:01, from 12:05 to 13:05, from 13:39 to 13:59, from 15:46 to 16:26, from 16:37 to 17:17\nWednesday: Booked at the following times: from 9:37 to 11:37, from 13:45 to 16:15\nThursday: Booked at the following times: from 9:35 to 10:45, from 11:09 to 11:49, from 11:52 to 12:12, from 12:23 to 13:23, from 13:41 to 14:51, from 15:47 to 16:47\nFriday: Booked at the following times: from 9:39 to 10:59, from 12:14 to 13:14, from 13:24 to 13:44, from 13:45 to 15:05, from 15:21 to 17:21\n\nThe schedule for Meagan Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 10:33 to 12:23, from 12:49 to 13:59, from 16:27 to 16:57\nTuesday: Booked at the following times: from 9:54 to 11:14, from 12:50 to 13:50, from 14:15 to 16:25, from 16:30 to 16:50\nWednesday: Booked at the following times: from 10:25 to 10:45, from 12:32 to 13:12, from 13:18 to 13:48, from 14:22 to 14:42, from 15:10 to 16:50\nThursday: Booked at the following times: from 9:56 to 12:16, from 12:23 to 13:33, from 13:52 to 15:02\nFriday: Booked at the following times: from 9:47 to 12:07, from 15:49 to 16:39\n\nThe schedule for Tommy Lee's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 12:40, from 13:06 to 15:16\nTuesday: Booked at the following times: from 9:22 to 10:12, from 13:24 to 15:44, from 16:30 to 17:20\nWednesday: Booked at the following times: from 11:05 to 11:25, from 11:36 to 13:46, from 16:10 to 16:50\nThursday: Booked at the following times: from 10:28 to 11:28, from 11:52 to 12:32, from 13:20 to 14:40, from 16:22 to 17:52\nFriday: Booked at the following times: from 13:43 to 15:53, from 16:02 to 17:52\n\nTerry Simmons is in a timezone that is 2 hours ahead of other participants\nDenise Schmidt needs a break for lunch on Tuesday from 11:05 to 11:35\nMeagan Smith is in a timezone that is 3 hours ahead of other participants\nTommy Lee needs a break for lunch on Tuesday from 12:32 to 13:02\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Kelly Roberts": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[567, 667], [681, 751], [910, 940], [990, 1030]], "Tuesday": [[683, 833], [847, 957]], "Wednesday": [[552, 632], [801, 941], [978, 1008]], "Thursday": [[560, 650], [688, 768], [888, 998], [1012, 1072]], "Friday": [[714, 794], [833, 903], [920, 1050]]}, "free_org": {"Monday": [[540, 567], [667, 681], [751, 910], [940, 990], [1030, 1080]], "Tuesday": [[540, 683], [833, 847], [957, 1080]], "Wednesday": [[540, 552], [632, 801], [941, 978], [1008, 1080]], "Thursday": [[540, 560], [650, 688], [768, 888], [998, 1012], [1072, 1080]], "Friday": [[540, 714], [794, 833], [903, 920], [1050, 1080]]}, "constraint": ["none", null]}, "Terry Simmons": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[568, 638], [723, 743], [750, 850], [880, 920], [1004, 1044]], "Tuesday": [[652, 732], [839, 899], [931, 1041]], "Wednesday": [[741, 801], [876, 996]], "Thursday": [[591, 611], [617, 727], [760, 860], [893, 913], [926, 966], [1012, 1042]], "Friday": [[543, 613], [617, 657], [687, 727], [805, 835], [861, 981], [1004, 1034]]}, "free_org": {"Monday": [[540, 568], [638, 723], [743, 750], [850, 880], [920, 1004], [1044, 1080]], "Tuesday": [[540, 652], [732, 839], [899, 931], [1041, 1080]], "Wednesday": [[540, 741], [801, 876], [996, 1080]], "Thursday": [[540, 591], [611, 617], [727, 760], [860, 893], [913, 926], [966, 1012], [1042, 1080]], "Friday": [[540, 543], [613, 617], [657, 687], [727, 805], [835, 861], [981, 1004], [1034, 1080]]}, "constraint": ["timezone", 2]}, "Kelsey Jones": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[602, 712], [744, 874], [911, 971]], "Tuesday": [[553, 593], [607, 717], [762, 892]], "Wednesday": [[638, 708], [791, 921], [936, 1046]], "Thursday": [[588, 658], [696, 746], [795, 825], [826, 846], [872, 892], [910, 940], [956, 1026], [1054, 1074]], "Friday": [[561, 651], [717, 827], [956, 1056]]}, "free_org": {"Monday": [[540, 602], [712, 744], [874, 911], [971, 1080]], "Tuesday": [[540, 553], [593, 607], [717, 762], [892, 1080]], "Wednesday": [[540, 638], [708, 791], [921, 936], [1046, 1080]], "Thursday": [[540, 588], [658, 696], [746, 795], [825, 826], [846, 872], [892, 910], [940, 956], [1026, 1054], [1074, 1080]], "Friday": [[540, 561], [651, 717], [827, 956], [1056, 1080]]}, "constraint": ["none", null]}, "Denise Schmidt": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[541, 561], [568, 618], [695, 755], [786, 816], [818, 938], [989, 1059]], "Tuesday": [[604, 664], [701, 721], [725, 785], [819, 839], [946, 986], [997, 1037]], "Wednesday": [[577, 697], [825, 975]], "Thursday": [[575, 645], [669, 709], [712, 732], [743, 803], [821, 891], [947, 1007]], "Friday": [[579, 659], [734, 794], [804, 824], [825, 905], [921, 1041]]}, "free_org": {"Monday": [[540, 541], [561, 568], [618, 695], [755, 786], [816, 818], [938, 989], [1059, 1080]], "Tuesday": [[540, 604], [664, 701], [721, 725], [785, 819], [839, 946], [986, 997], [1037, 1080]], "Wednesday": [[540, 577], [697, 825], [975, 1080]], "Thursday": [[540, 575], [645, 669], [709, 712], [732, 743], [803, 821], [891, 947], [1007, 1080]], "Friday": [[540, 579], [659, 734], [794, 804], [824, 825], [905, 921], [1041, 1080]]}, "constraint": ["lunch", ["Tuesday", [665, 695]]]}, "Meagan Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[633, 743], [769, 839], [987, 1017]], "Tuesday": [[594, 674], [770, 830], [855, 985], [990, 1010]], "Wednesday": [[625, 645], [752, 792], [798, 828], [862, 882], [910, 1010]], "Thursday": [[596, 736], [743, 813], [832, 902]], "Friday": [[587, 727], [949, 999]]}, "free_org": {"Monday": [[540, 633], [743, 769], [839, 987], [1017, 1080]], "Tuesday": [[540, 594], [674, 770], [830, 855], [985, 990], [1010, 1080]], "Wednesday": [[540, 625], [645, 752], [792, 798], [828, 862], [882, 910], [1010, 1080]], "Thursday": [[540, 596], [736, 743], [813, 832], [902, 1080]], "Friday": [[540, 587], [727, 949], [999, 1080]]}, "constraint": ["timezone", 3]}, "Tommy Lee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 760], [786, 916]], "Tuesday": [[562, 612], [804, 944], [990, 1040]], "Wednesday": [[665, 685], [696, 826], [970, 1010]], "Thursday": [[628, 688], [712, 752], [800, 880], [982, 1072]], "Friday": [[823, 953], [962, 1072]]}, "free_org": {"Monday": [[540, 610], [760, 786], [916, 1080]], "Tuesday": [[540, 562], [612, 804], [944, 990], [1040, 1080]], "Wednesday": [[540, 665], [685, 696], [826, 970], [1010, 1080]], "Thursday": [[540, 628], [688, 712], [752, 800], [880, 982], [1072, 1080]], "Friday": [[540, 823], [953, 962], [1072, 1080]]}, "constraint": ["lunch", ["Tuesday", [752, 782]]]}}, "solution": {"max_duration": 26, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJohn Rodriguez, Richard Mckee, Mrs. Laurie Harris work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for John Rodriguez's week in their local time is as follows:\nMonday: Booked at the following times: from 11:17 to 13:17, from 15:04 to 17:34\nTuesday: Booked at the following times: from 9:38 to 10:48, from 11:56 to 14:06, from 15:29 to 17:49\nWednesday: Booked at the following times: from 9:15 to 9:45, from 9:47 to 10:07, from 10:45 to 11:05, from 11:41 to 13:41, from 15:04 to 15:34, from 15:38 to 15:58, from 16:37 to 17:27\nThursday: Booked at the following times: from 9:06 to 10:26, from 12:14 to 12:54, from 13:35 to 15:45, from 15:58 to 16:18\nFriday: Booked at the following times: from 10:04 to 11:14, from 11:24 to 12:24, from 14:38 to 16:28, from 16:39 to 17:29\n\nThe schedule for Richard Mckee's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:56, from 11:36 to 12:21, from 13:01 to 16:06, from 16:46 to 16:50\nTuesday: Booked at the following times: from 10:12 to 12:22, from 13:02 to 13:22, from 14:19 to 16:19\nWednesday: Booked at the following times: from 9:04 to 10:44, from 11:03 to 13:03, from 14:39 to 15:39, from 16:22 to 17:22\nThursday: Booked at the following times: from 9:06 to 9:46, from 10:45 to 12:05, from 13:51 to 14:21, from 14:32 to 15:52, from 16:07 to 17:47\nFriday: Booked at the following times: from 9:21 to 10:11, from 10:49 to 11:29, from 11:40 to 12:10, from 12:13 to 14:43, from 15:45 to 16:05\n\nThe schedule for Mrs. Laurie Harris's week in their local time is as follows:\nMonday: Booked at the following times: from 10:26 to 11:36, from 13:05 to 14:55, from 15:20 to 17:30\nTuesday: Free only at the following times: from 11:00 to 11:43, from 14:13 to 15:05, anytime after 16:15\nWednesday: Booked at the following times: from 9:50 to 12:20, from 12:44 to 14:14, from 14:25 to 14:45, from 15:12 to 16:52\nThursday: Booked at the following times: from 9:58 to 12:08, from 12:29 to 14:19\nFriday: Booked at the following times: from 9:15 to 9:55, from 10:39 to 11:49, from 13:18 to 13:38, from 13:54 to 14:34, from 14:35 to 15:25, from 15:41 to 16:11, from 16:43 to 17:03\n\nJohn Rodriguez needs a break for lunch on Friday from 12:37 to 13:07\nRichard Mckee can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nMrs. Laurie Harris requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"John Rodriguez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[677, 797], [904, 1054]], "Tuesday": [[578, 648], [716, 846], [929, 1069]], "Wednesday": [[555, 585], [587, 607], [645, 665], [701, 821], [904, 934], [938, 958], [997, 1047]], "Thursday": [[546, 626], [734, 774], [815, 945], [958, 978]], "Friday": [[604, 674], [684, 744], [878, 988], [999, 1049]]}, "free_org": {"Monday": [[540, 677], [797, 904], [1054, 1080]], "Tuesday": [[540, 578], [648, 716], [846, 929], [1069, 1080]], "Wednesday": [[540, 555], [585, 587], [607, 645], [665, 701], [821, 904], [934, 938], [958, 997], [1047, 1080]], "Thursday": [[540, 546], [626, 734], [774, 815], [945, 958], [978, 1080]], "Friday": [[540, 604], [674, 684], [744, 878], [988, 999], [1049, 1080]]}, "constraint": ["lunch", ["Friday", [757, 787]]]}, "Richard Mckee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[656, 696], [741, 781], [966, 1006], [1010, 1080]], "Tuesday": [[612, 742], [782, 802], [859, 979]], "Wednesday": [[544, 644], [663, 783], [879, 939], [982, 1042]], "Thursday": [[546, 586], [645, 725], [831, 861], [872, 952], [967, 1067]], "Friday": [[561, 611], [649, 689], [700, 730], [733, 883], [945, 965]]}, "free_org": {"Monday": [[540, 656], [696, 741], [781, 966], [1006, 1010]], "Tuesday": [[540, 612], [742, 782], [802, 859], [979, 1080]], "Wednesday": [[540, 544], [644, 663], [783, 879], [939, 982], [1042, 1080]], "Thursday": [[540, 546], [586, 645], [725, 831], [861, 872], [952, 967], [1067, 1080]], "Friday": [[540, 561], [611, 649], [689, 700], [730, 733], [883, 945], [965, 1080]]}, "constraint": ["conflict", 60]}, "Mrs. Laurie Harris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[626, 696], [785, 895], [920, 1050]], "Tuesday": [[540, 660], [703, 853], [905, 975]], "Wednesday": [[590, 740], [764, 854], [865, 885], [912, 1012]], "Thursday": [[598, 728], [749, 859]], "Friday": [[555, 595], [639, 709], [798, 818], [834, 874], [875, 925], [941, 971], [1003, 1023]]}, "free_org": {"Monday": [[540, 626], [696, 785], [895, 920], [1050, 1080]], "Tuesday": [[660, 703], [853, 905], [975, 1080]], "Wednesday": [[540, 590], [740, 764], [854, 865], [885, 912], [1012, 1080]], "Thursday": [[540, 598], [728, 749], [859, 1080]], "Friday": [[540, 555], [595, 639], [709, 798], [818, 834], [874, 875], [925, 941], [971, 1003], [1023, 1080]]}, "constraint": ["buffer", 15]}}, "solution": {"max_duration": 56, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nSarah Bauer, Sarah Nichols, Randy Miller, Richard Morton work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Sarah Bauer's week in their local time is as follows:\nMonday: Booked at the following times: from 11:25 to 12:35, from 13:20 to 15:00, from 16:04 to 16:34, from 16:42 to 17:42\nTuesday: Booked at the following times: from 11:29 to 12:49, from 13:14 to 13:34, from 13:57 to 15:47, from 16:13 to 16:53\nWednesday: Booked at the following times: from 12:45 to 15:15, from 16:08 to 17:48\nThursday: Booked at the following times: from 9:50 to 11:50, from 12:22 to 13:52, from 15:39 to 17:29\nFriday: Booked at the following times: from 9:09 to 9:49, from 9:52 to 10:32, from 11:56 to 12:36, from 13:25 to 13:45, from 13:48 to 14:28, from 15:16 to 15:46, from 15:54 to 16:24, from 16:55 to 17:25\n\nThe schedule for Sarah Nichols's week in their local time is as follows:\nMonday: Booked at the following times: from 11:04 to 13:14, from 15:23 to 17:43\nTuesday: Booked at the following times: from 9:56 to 10:26, from 11:20 to 13:40, from 14:41 to 15:31, from 16:03 to 16:33, from 16:35 to 17:55\nWednesday: Booked at the following times: from 9:36 to 10:46, from 11:45 to 14:15\nThursday: Booked at the following times: from 10:30 to 12:30, from 14:35 to 15:05, from 15:18 to 17:18\nFriday: Booked at the following times: from 9:12 to 10:02, from 10:43 to 11:03, from 11:42 to 12:22, from 13:13 to 15:43, from 16:36 to 17:06\n\nThe schedule for Randy Miller's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:25, from 10:45 to 10:53, from 11:33 to 11:38, from 12:08 to 12:17, from 12:57 to 13:20, from 13:50 to 14:24, from 14:44 to 15:20, from 15:40 to 15:42, from 16:22 to 16:40, anytime after 17:10\nTuesday: Booked at the following times: from 9:13 to 11:13, from 11:54 to 14:04, from 14:49 to 15:59\nWednesday: Booked at the following times: from 10:30 to 10:50, from 11:55 to 13:15, from 14:02 to 14:42, from 16:27 to 17:57\nThursday: Booked at the following times: from 9:30 to 10:50, from 11:24 to 11:44, from 12:12 to 13:02, from 14:01 to 15:51, from 16:00 to 16:20\nFriday: Booked at the following times: from 10:44 to 13:14, from 14:59 to 16:19, from 16:24 to 17:14\n\nThe schedule for Richard Morton's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:35, from 10:35 to 10:56, from 11:16 to 11:20, from 12:30 to 13:21, anytime after 16:21\nTuesday: Booked at the following times: from 9:40 to 11:30, from 12:06 to 12:26, from 13:39 to 14:09, from 14:35 to 15:05, from 15:37 to 16:27, from 16:46 to 17:36\nWednesday: Booked at the following times: from 9:10 to 10:40, from 12:06 to 13:36, from 15:53 to 17:13\nThursday: Booked at the following times: from 9:37 to 11:27, from 12:02 to 13:42, from 13:50 to 15:10, from 15:15 to 15:55, from 16:49 to 17:09\nFriday: Booked at the following times: from 9:52 to 11:42, from 12:41 to 13:21, from 15:10 to 15:40, from 16:27 to 17:37\n\nSarah Bauer can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nSarah Nichols needs a break for lunch on Wednesday from 11:04 to 11:34\nRandy Miller can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nRichard Morton can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Sarah Bauer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[685, 755], [800, 900], [964, 994], [1002, 1062]], "Tuesday": [[689, 769], [794, 814], [837, 947], [973, 1013]], "Wednesday": [[765, 915], [968, 1068]], "Thursday": [[590, 710], [742, 832], [939, 1049]], "Friday": [[549, 589], [592, 632], [716, 756], [805, 825], [828, 868], [916, 946], [954, 984], [1015, 1045]]}, "free_org": {"Monday": [[540, 685], [755, 800], [900, 964], [994, 1002], [1062, 1080]], "Tuesday": [[540, 689], [769, 794], [814, 837], [947, 973], [1013, 1080]], "Wednesday": [[540, 765], [915, 968], [1068, 1080]], "Thursday": [[540, 590], [710, 742], [832, 939], [1049, 1080]], "Friday": [[540, 549], [589, 592], [632, 716], [756, 805], [825, 828], [868, 916], [946, 954], [984, 1015], [1045, 1080]]}, "constraint": ["conflict", 60]}, "Sarah Nichols": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[664, 794], [923, 1063]], "Tuesday": [[596, 626], [680, 820], [881, 931], [963, 993], [995, 1075]], "Wednesday": [[576, 646], [705, 855]], "Thursday": [[630, 750], [875, 905], [918, 1038]], "Friday": [[552, 602], [643, 663], [702, 742], [793, 943], [996, 1026]]}, "free_org": {"Monday": [[540, 664], [794, 923], [1063, 1080]], "Tuesday": [[540, 596], [626, 680], [820, 881], [931, 963], [993, 995], [1075, 1080]], "Wednesday": [[540, 576], [646, 705], [855, 1080]], "Thursday": [[540, 630], [750, 875], [905, 918], [1038, 1080]], "Friday": [[540, 552], [602, 643], [663, 702], [742, 793], [943, 996], [1026, 1080]]}, "constraint": ["lunch", ["Wednesday", [664, 694]]]}, "Randy Miller": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[565, 595], [595, 645], [653, 693], [698, 728], [737, 777], [800, 830], [864, 884], [920, 940], [942, 982], [1000, 1030]], "Tuesday": [[553, 673], [714, 844], [889, 959]], "Wednesday": [[630, 650], [715, 795], [842, 882], [987, 1077]], "Thursday": [[570, 650], [684, 704], [732, 782], [841, 951], [960, 980]], "Friday": [[644, 794], [899, 979], [984, 1034]]}, "free_org": {"Monday": [[540, 565], [645, 653], [693, 698], [728, 737], [777, 800], [830, 864], [884, 920], [940, 942], [982, 1000], [1030, 1080]], "Tuesday": [[540, 553], [673, 714], [844, 889], [959, 1080]], "Wednesday": [[540, 630], [650, 715], [795, 842], [882, 987], [1077, 1080]], "Thursday": [[540, 570], [650, 684], [704, 732], [782, 841], [951, 960], [980, 1080]], "Friday": [[540, 644], [794, 899], [979, 984], [1034, 1080]]}, "constraint": ["conflict", 60]}, "Richard Morton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[575, 635], [656, 676], [680, 750], [801, 951], [951, 981]], "Tuesday": [[580, 690], [726, 746], [819, 849], [875, 905], [937, 987], [1006, 1056]], "Wednesday": [[550, 640], [726, 816], [953, 1033]], "Thursday": [[577, 687], [722, 822], [830, 910], [915, 955], [1009, 1029]], "Friday": [[592, 702], [761, 801], [910, 940], [987, 1057]]}, "free_org": {"Monday": [[540, 575], [635, 656], [676, 680], [750, 801], [981, 1080]], "Tuesday": [[540, 580], [690, 726], [746, 819], [849, 875], [905, 937], [987, 1006], [1056, 1080]], "Wednesday": [[540, 550], [640, 726], [816, 953], [1033, 1080]], "Thursday": [[540, 577], [687, 722], [822, 830], [910, 915], [955, 1009], [1029, 1080]], "Friday": [[540, 592], [702, 761], [801, 910], [940, 987], [1057, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 124, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nCatherine Anderson, Tamara Chen, Christopher Callahan, Jesse Burns, Michael Bailey, Susan Roy work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Catherine Anderson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:57 to 12:37, from 12:40 to 14:40, from 16:08 to 17:48\nTuesday: Booked at the following times: from 11:30 to 13:40, from 14:26 to 15:46, from 17:06 to 17:56\nWednesday: Booked at the following times: from 10:22 to 10:42, from 11:36 to 13:26, from 13:46 to 15:26, from 15:41 to 16:01, from 16:07 to 17:17\nThursday: Booked at the following times: from 10:19 to 10:49, from 11:36 to 13:16, from 14:08 to 14:28, from 17:16 to 17:46\nFriday: Booked at the following times: from 9:34 to 11:04, from 12:47 to 14:27, from 14:48 to 16:28, from 17:03 to 17:33\n\nThe schedule for Tamara Chen's week in their local time is as follows:\nMonday: Booked at the following times: from 9:18 to 9:38, from 10:12 to 10:42, from 11:24 to 13:54, from 14:02 to 14:32, from 14:34 to 15:14, from 16:12 to 17:12\nTuesday: Booked at the following times: from 10:06 to 11:56, from 13:45 to 15:15, from 15:18 to 17:28\nWednesday: Booked at the following times: from 11:22 to 11:52, from 11:58 to 12:48, from 14:55 to 16:55\nThursday: Booked at the following times: from 9:46 to 11:26, from 15:20 to 17:50\nFriday: Booked at the following times: from 10:03 to 11:53, from 12:13 to 12:33, from 13:14 to 15:04, from 15:07 to 16:07\n\nThe schedule for Christopher Callahan's week in their local time is as follows:\nMonday: Booked at the following times: from 10:07 to 10:27, from 10:33 to 11:53, from 12:29 to 13:39, from 13:51 to 14:11, from 14:17 to 16:17\nTuesday: Booked at the following times: from 9:22 to 10:02, from 10:17 to 10:57, from 13:09 to 15:19, from 16:30 to 17:10\nWednesday: Booked at the following times: from 10:08 to 11:48, from 12:52 to 14:42, from 14:51 to 15:31, from 16:59 to 17:19\nThursday: Booked at the following times: from 9:25 to 11:05, from 13:39 to 13:59, from 14:03 to 15:03, from 15:32 to 16:12, from 16:18 to 16:38\nFriday: Booked at the following times: from 9:24 to 10:54, from 11:11 to 13:01, from 15:53 to 17:33\n\nThe schedule for Jesse Burns's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 10:43, from 11:00 to 11:20, from 11:22 to 12:22, from 13:44 to 15:24, from 16:01 to 17:01\nTuesday: Booked at the following times: from 9:38 to 10:38, from 11:57 to 13:27, from 13:46 to 16:16\nWednesday: Booked at the following times: from 9:52 to 12:02, from 12:20 to 14:20, from 15:14 to 16:44\nThursday: Booked at the following times: from 10:09 to 10:39, from 11:15 to 12:05, from 12:20 to 13:00, from 13:27 to 14:07, from 14:11 to 16:31, from 16:57 to 17:37\nFriday: Booked at the following times: from 9:06 to 10:06, from 10:08 to 10:38, from 10:54 to 11:14, from 11:38 to 11:58, from 12:33 to 13:03, from 13:58 to 14:48, from 15:02 to 15:32, from 15:52 to 16:32, from 17:06 to 17:56\n\nThe schedule for Michael Bailey's week in their local time is as follows:\nMonday: Booked at the following times: from 10:01 to 10:41, from 11:42 to 12:42, from 12:51 to 13:41, from 14:45 to 17:15\nTuesday: Booked at the following times: from 9:47 to 10:07, from 10:53 to 11:23, from 11:46 to 13:56, from 14:15 to 16:15, from 17:14 to 17:34\nWednesday: Booked at the following times: from 10:28 to 12:28, from 16:04 to 17:44\nThursday: Booked at the following times: from 12:01 to 14:21, from 14:51 to 17:11\nFriday: Booked at the following times: from 10:49 to 12:59, from 13:06 to 14:26, from 16:24 to 17:54\n\nThe schedule for Susan Roy's week in their local time is as follows:\nMonday: Booked at the following times: from 9:10 to 11:30, from 13:32 to 15:32\nTuesday: Booked at the following times: from 9:49 to 10:19, from 10:26 to 11:36, from 14:02 to 16:22\nWednesday: Booked at the following times: from 9:09 to 10:09, from 10:36 to 11:56, from 15:14 to 16:24\nThursday: Booked at the following times: from 12:25 to 14:25, from 15:00 to 17:20\nFriday: Booked at the following times: from 9:14 to 9:34, from 9:57 to 10:17, from 11:05 to 11:55, from 12:37 to 13:27, from 13:38 to 15:28, from 15:40 to 16:10, from 16:40 to 17:00\n\nCatherine Anderson requires 5 minutes free before and after the meeting\nTamara Chen can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nChristopher Callahan can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nJesse Burns can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nMichael Bailey needs a break for lunch on Thursday from 11:04 to 11:34\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Catherine Anderson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[717, 757], [760, 880], [968, 1068]], "Tuesday": [[690, 820], [866, 946], [1026, 1076]], "Wednesday": [[622, 642], [696, 806], [826, 926], [941, 961], [967, 1037]], "Thursday": [[619, 649], [696, 796], [848, 868], [1036, 1066]], "Friday": [[574, 664], [767, 867], [888, 988], [1023, 1053]]}, "free_org": {"Monday": [[540, 717], [757, 760], [880, 968], [1068, 1080]], "Tuesday": [[540, 690], [820, 866], [946, 1026], [1076, 1080]], "Wednesday": [[540, 622], [642, 696], [806, 826], [926, 941], [961, 967], [1037, 1080]], "Thursday": [[540, 619], [649, 696], [796, 848], [868, 1036], [1066, 1080]], "Friday": [[540, 574], [664, 767], [867, 888], [988, 1023], [1053, 1080]]}, "constraint": ["buffer", 5]}, "Tamara Chen": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[558, 578], [612, 642], [684, 834], [842, 872], [874, 914], [972, 1032]], "Tuesday": [[606, 716], [825, 915], [918, 1048]], "Wednesday": [[682, 712], [718, 768], [895, 1015]], "Thursday": [[586, 686], [920, 1070]], "Friday": [[603, 713], [733, 753], [794, 904], [907, 967]]}, "free_org": {"Monday": [[540, 558], [578, 612], [642, 684], [834, 842], [872, 874], [914, 972], [1032, 1080]], "Tuesday": [[540, 606], [716, 825], [915, 918], [1048, 1080]], "Wednesday": [[540, 682], [712, 718], [768, 895], [1015, 1080]], "Thursday": [[540, 586], [686, 920], [1070, 1080]], "Friday": [[540, 603], [713, 733], [753, 794], [904, 907], [967, 1080]]}, "constraint": ["conflict", 40]}, "Christopher Callahan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[607, 627], [633, 713], [749, 819], [831, 851], [857, 977]], "Tuesday": [[562, 602], [617, 657], [789, 919], [990, 1030]], "Wednesday": [[608, 708], [772, 882], [891, 931], [1019, 1039]], "Thursday": [[565, 665], [819, 839], [843, 903], [932, 972], [978, 998]], "Friday": [[564, 654], [671, 781], [953, 1053]]}, "free_org": {"Monday": [[540, 607], [627, 633], [713, 749], [819, 831], [851, 857], [977, 1080]], "Tuesday": [[540, 562], [602, 617], [657, 789], [919, 990], [1030, 1080]], "Wednesday": [[540, 608], [708, 772], [882, 891], [931, 1019], [1039, 1080]], "Thursday": [[540, 565], [665, 819], [839, 843], [903, 932], [972, 978], [998, 1080]], "Friday": [[540, 564], [654, 671], [781, 953], [1053, 1080]]}, "constraint": ["conflict", 60]}, "Jesse Burns": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 643], [660, 680], [682, 742], [824, 924], [961, 1021]], "Tuesday": [[578, 638], [717, 807], [826, 976]], "Wednesday": [[592, 722], [740, 860], [914, 1004]], "Thursday": [[609, 639], [675, 725], [740, 780], [807, 847], [851, 991], [1017, 1057]], "Friday": [[546, 606], [608, 638], [654, 674], [698, 718], [753, 783], [838, 888], [902, 932], [952, 992], [1026, 1076]]}, "free_org": {"Monday": [[540, 573], [643, 660], [680, 682], [742, 824], [924, 961], [1021, 1080]], "Tuesday": [[540, 578], [638, 717], [807, 826], [976, 1080]], "Wednesday": [[540, 592], [722, 740], [860, 914], [1004, 1080]], "Thursday": [[540, 609], [639, 675], [725, 740], [780, 807], [847, 851], [991, 1017], [1057, 1080]], "Friday": [[540, 546], [606, 608], [638, 654], [674, 698], [718, 753], [783, 838], [888, 902], [932, 952], [992, 1026], [1076, 1080]]}, "constraint": ["conflict", 60]}, "Michael Bailey": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 641], [702, 762], [771, 821], [885, 1035]], "Tuesday": [[587, 607], [653, 683], [706, 836], [855, 975], [1034, 1054]], "Wednesday": [[628, 748], [964, 1064]], "Thursday": [[721, 861], [891, 1031]], "Friday": [[649, 779], [786, 866], [984, 1074]]}, "free_org": {"Monday": [[540, 601], [641, 702], [762, 771], [821, 885], [1035, 1080]], "Tuesday": [[540, 587], [607, 653], [683, 706], [836, 855], [975, 1034], [1054, 1080]], "Wednesday": [[540, 628], [748, 964], [1064, 1080]], "Thursday": [[540, 721], [861, 891], [1031, 1080]], "Friday": [[540, 649], [779, 786], [866, 984], [1074, 1080]]}, "constraint": ["lunch", ["Thursday", [664, 694]]]}, "Susan Roy": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[550, 690], [812, 932]], "Tuesday": [[589, 619], [626, 696], [842, 982]], "Wednesday": [[549, 609], [636, 716], [914, 984]], "Thursday": [[745, 865], [900, 1040]], "Friday": [[554, 574], [597, 617], [665, 715], [757, 807], [818, 928], [940, 970], [1000, 1020]]}, "free_org": {"Monday": [[540, 550], [690, 812], [932, 1080]], "Tuesday": [[540, 589], [619, 626], [696, 842], [982, 1080]], "Wednesday": [[540, 549], [609, 636], [716, 914], [984, 1080]], "Thursday": [[540, 745], [865, 900], [1040, 1080]], "Friday": [[540, 554], [574, 597], [617, 665], [715, 757], [807, 818], [928, 940], [970, 1000], [1020, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 42, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nGarrett Garcia, Joshua Lewis, Noah Burnett, Julie Valentine, Morgan Salazar, Thomas Sutton work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Garrett Garcia's week in their local time is as follows:\nMonday: Booked at the following times: from 9:51 to 11:51, from 11:54 to 13:24, from 13:55 to 14:45, from 14:52 to 16:42, from 17:13 to 17:33\nTuesday: Booked at the following times: from 9:22 to 11:02, from 11:40 to 12:40, from 13:18 to 14:08, from 14:27 to 16:07, from 16:35 to 17:15\nWednesday: Booked at the following times: from 9:04 to 10:44, from 10:54 to 12:54, from 13:04 to 13:34, from 14:08 to 14:28, from 15:53 to 16:13, from 16:22 to 16:42\nThursday: Booked at the following times: from 9:49 to 10:09, from 11:32 to 13:12, from 13:15 to 13:45, from 16:19 to 17:49\nFriday: Free only at the following times: from 9:50 to 10:02, from 10:22 to 10:31, from 10:51 to 11:07, from 11:37 to 12:11, from 12:51 to 12:59, from 13:19 to 14:22, from 16:42 to 17:02, anytime after 17:22\n\nThe schedule for Joshua Lewis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:37 to 11:07, from 11:42 to 12:12, from 12:59 to 13:39, from 14:43 to 15:03, from 15:05 to 16:15, from 16:16 to 17:46\nTuesday: Booked at the following times: from 9:55 to 11:55, from 12:47 to 13:07, from 13:52 to 16:12\nWednesday: Booked at the following times: from 9:46 to 10:46, from 11:13 to 13:13, from 13:42 to 15:12, from 15:25 to 17:05\nThursday: Booked at the following times: from 10:22 to 12:12, from 13:14 to 15:14, from 15:18 to 17:08\nFriday: Booked at the following times: from 10:34 to 11:04, from 11:48 to 13:08, from 14:34 to 16:54, from 17:19 to 17:39\n\nThe schedule for Noah Burnett's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 9:39, from 10:07 to 10:37, from 10:45 to 11:25, from 12:59 to 13:19, from 13:23 to 13:53, from 14:35 to 14:55, from 15:09 to 15:49, from 16:50 to 17:50\nTuesday: Booked at the following times: from 10:01 to 11:11, from 11:22 to 11:52, from 12:08 to 12:58, from 13:09 to 13:49, from 15:00 to 15:20, from 15:44 to 17:34\nWednesday: Booked at the following times: from 11:06 to 12:56, from 13:22 to 15:32\nThursday: Booked at the following times: from 12:36 to 15:06, from 15:13 to 17:33\nFriday: Booked at the following times: from 9:07 to 11:17, from 11:45 to 12:05, from 14:56 to 15:26, from 15:39 to 16:39\n\nThe schedule for Julie Valentine's week in their local time is as follows:\nMonday: Booked at the following times: from 11:44 to 12:44, from 12:50 to 15:10\nTuesday: Booked at the following times: from 9:20 to 11:00, from 11:39 to 13:29, from 14:11 to 15:01, from 15:25 to 15:45, from 16:01 to 17:11\nWednesday: Booked at the following times: from 10:33 to 12:13, from 12:20 to 13:50, from 14:40 to 15:10, from 15:18 to 16:08\nThursday: Booked at the following times: from 9:51 to 10:11, from 10:31 to 11:11, from 12:25 to 14:35, from 15:07 to 15:47, from 16:36 to 17:36\nFriday: Booked at the following times: from 11:10 to 12:50, from 13:19 to 14:09, from 14:31 to 16:11\n\nThe schedule for Morgan Salazar's week in their local time is as follows:\nMonday: Booked at the following times: from 9:06 to 10:36, from 12:10 to 12:30, from 14:53 to 15:43, from 16:30 to 17:00\nTuesday: Booked at the following times: from 10:11 to 11:41, from 12:54 to 13:24, from 14:23 to 15:33, from 15:43 to 16:23, from 16:25 to 17:35\nWednesday: Booked at the following times: from 9:05 to 10:35, from 11:31 to 13:01\nThursday: Booked at the following times: from 9:31 to 10:11, from 13:58 to 15:08, from 15:11 to 17:11\nFriday: Booked at the following times: from 9:28 to 11:18, from 11:19 to 11:49, from 12:20 to 13:50, from 13:52 to 14:42, from 16:18 to 16:38, from 16:53 to 17:13\n\nThe schedule for Thomas Sutton's week in their local time is as follows:\nMonday: Booked at the following times: from 9:03 to 11:13, from 14:58 to 17:28\nTuesday: Booked at the following times: from 9:12 to 10:02, from 10:09 to 12:19, from 12:36 to 14:06, from 15:29 to 16:19\nWednesday: Booked at the following times: from 11:20 to 11:40, from 12:38 to 13:08, from 14:10 to 14:40, from 14:41 to 15:51, from 16:23 to 17:33\nThursday: Booked at the following times: from 10:50 to 12:30, from 12:32 to 13:52, from 14:51 to 16:31\nFriday: Booked at the following times: from 9:26 to 9:46, from 9:56 to 10:26, from 11:20 to 12:50, from 15:24 to 16:44, from 16:47 to 17:07\n\nJoshua Lewis requires 15 minutes free before and after the meeting\nNoah Burnett needs a break for lunch on Monday from 11:40 to 12:10\nJulie Valentine can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nMorgan Salazar needs a break for lunch on Wednesday from 11:01 to 11:31\nThomas Sutton needs a break for lunch on Monday from 12:07 to 12:37\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Garrett Garcia": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[591, 711], [714, 804], [835, 885], [892, 1002], [1033, 1053]], "Tuesday": [[562, 662], [700, 760], [798, 848], [867, 967], [995, 1035]], "Wednesday": [[544, 644], [654, 774], [784, 814], [848, 868], [953, 973], [982, 1002]], "Thursday": [[589, 609], [692, 792], [795, 825], [979, 1069]], "Friday": [[540, 590], [602, 622], [631, 651], [667, 697], [731, 771], [779, 799], [862, 1002], [1022, 1042]]}, "free_org": {"Monday": [[540, 591], [711, 714], [804, 835], [885, 892], [1002, 1033], [1053, 1080]], "Tuesday": [[540, 562], [662, 700], [760, 798], [848, 867], [967, 995], [1035, 1080]], "Wednesday": [[540, 544], [644, 654], [774, 784], [814, 848], [868, 953], [973, 982], [1002, 1080]], "Thursday": [[540, 589], [609, 692], [792, 795], [825, 979], [1069, 1080]], "Friday": [[590, 602], [622, 631], [651, 667], [697, 731], [771, 779], [799, 862], [1002, 1022], [1042, 1080]]}, "constraint": ["none", null]}, "Joshua Lewis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[577, 667], [702, 732], [779, 819], [883, 903], [905, 975], [976, 1066]], "Tuesday": [[595, 715], [767, 787], [832, 972]], "Wednesday": [[586, 646], [673, 793], [822, 912], [925, 1025]], "Thursday": [[622, 732], [794, 914], [918, 1028]], "Friday": [[634, 664], [708, 788], [874, 1014], [1039, 1059]]}, "free_org": {"Monday": [[540, 577], [667, 702], [732, 779], [819, 883], [903, 905], [975, 976], [1066, 1080]], "Tuesday": [[540, 595], [715, 767], [787, 832], [972, 1080]], "Wednesday": [[540, 586], [646, 673], [793, 822], [912, 925], [1025, 1080]], "Thursday": [[540, 622], [732, 794], [914, 918], [1028, 1080]], "Friday": [[540, 634], [664, 708], [788, 874], [1014, 1039], [1059, 1080]]}, "constraint": ["buffer", 15]}, "Noah Burnett": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 579], [607, 637], [645, 685], [779, 799], [803, 833], [875, 895], [909, 949], [1010, 1070]], "Tuesday": [[601, 671], [682, 712], [728, 778], [789, 829], [900, 920], [944, 1054]], "Wednesday": [[666, 776], [802, 932]], "Thursday": [[756, 906], [913, 1053]], "Friday": [[547, 677], [705, 725], [896, 926], [939, 999]]}, "free_org": {"Monday": [[540, 549], [579, 607], [637, 645], [685, 779], [799, 803], [833, 875], [895, 909], [949, 1010], [1070, 1080]], "Tuesday": [[540, 601], [671, 682], [712, 728], [778, 789], [829, 900], [920, 944], [1054, 1080]], "Wednesday": [[540, 666], [776, 802], [932, 1080]], "Thursday": [[540, 756], [906, 913], [1053, 1080]], "Friday": [[540, 547], [677, 705], [725, 896], [926, 939], [999, 1080]]}, "constraint": ["lunch", ["Monday", [700, 730]]]}, "Julie Valentine": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[704, 764], [770, 910]], "Tuesday": [[560, 660], [699, 809], [851, 901], [925, 945], [961, 1031]], "Wednesday": [[633, 733], [740, 830], [880, 910], [918, 968]], "Thursday": [[591, 611], [631, 671], [745, 875], [907, 947], [996, 1056]], "Friday": [[670, 770], [799, 849], [871, 971]]}, "free_org": {"Monday": [[540, 704], [764, 770], [910, 1080]], "Tuesday": [[540, 560], [660, 699], [809, 851], [901, 925], [945, 961], [1031, 1080]], "Wednesday": [[540, 633], [733, 740], [830, 880], [910, 918], [968, 1080]], "Thursday": [[540, 591], [611, 631], [671, 745], [875, 907], [947, 996], [1056, 1080]], "Friday": [[540, 670], [770, 799], [849, 871], [971, 1080]]}, "constraint": ["conflict", 20]}, "Morgan Salazar": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[546, 636], [730, 750], [893, 943], [990, 1020]], "Tuesday": [[611, 701], [774, 804], [863, 933], [943, 983], [985, 1055]], "Wednesday": [[545, 635], [691, 781]], "Thursday": [[571, 611], [838, 908], [911, 1031]], "Friday": [[568, 678], [679, 709], [740, 830], [832, 882], [978, 998], [1013, 1033]]}, "free_org": {"Monday": [[540, 546], [636, 730], [750, 893], [943, 990], [1020, 1080]], "Tuesday": [[540, 611], [701, 774], [804, 863], [933, 943], [983, 985], [1055, 1080]], "Wednesday": [[540, 545], [635, 691], [781, 1080]], "Thursday": [[540, 571], [611, 838], [908, 911], [1031, 1080]], "Friday": [[540, 568], [678, 679], [709, 740], [830, 832], [882, 978], [998, 1013], [1033, 1080]]}, "constraint": ["lunch", ["Wednesday", [661, 691]]]}, "Thomas Sutton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[543, 673], [898, 1048]], "Tuesday": [[552, 602], [609, 739], [756, 846], [929, 979]], "Wednesday": [[680, 700], [758, 788], [850, 880], [881, 951], [983, 1053]], "Thursday": [[650, 750], [752, 832], [891, 991]], "Friday": [[566, 586], [596, 626], [680, 770], [924, 1004], [1007, 1027]]}, "free_org": {"Monday": [[540, 543], [673, 898], [1048, 1080]], "Tuesday": [[540, 552], [602, 609], [739, 756], [846, 929], [979, 1080]], "Wednesday": [[540, 680], [700, 758], [788, 850], [880, 881], [951, 983], [1053, 1080]], "Thursday": [[540, 650], [750, 752], [832, 891], [991, 1080]], "Friday": [[540, 566], [586, 596], [626, 680], [770, 924], [1004, 1007], [1027, 1080]]}, "constraint": ["lunch", ["Monday", [727, 757]]]}}, "solution": {"max_duration": 16, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nEmily Mitchell, Amanda Donaldson, Kimberly Gonzalez, Nancy Rivera work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Emily Mitchell's week in their local time is as follows:\nMonday: Booked at the following times: from 9:15 to 11:25, from 12:42 to 13:42\nTuesday: Booked at the following times: from 10:48 to 11:08, from 13:34 to 15:04, from 16:20 to 17:40\nWednesday: Booked at the following times: from 9:56 to 12:06, from 12:16 to 14:16, from 15:12 to 16:32\nThursday: Booked at the following times: from 9:05 to 11:15, from 12:40 to 13:00, from 14:24 to 14:44, from 16:18 to 17:28\nFriday: Free only at the following times: from 9:20 to 10:07, from 11:07 to 11:18, from 11:48 to 12:30, from 14:20 to 14:29, from 14:49 to 15:32, from 16:02 to 16:13, anytime after 17:03\n\nThe schedule for Amanda Donaldson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:50 to 11:10, from 11:50 to 12:10, from 13:20 to 14:10, from 14:25 to 14:55, from 15:02 to 15:52, from 16:03 to 17:13\nTuesday: Booked at the following times: from 10:07 to 10:47, from 11:32 to 12:02, from 12:10 to 13:40, from 13:51 to 15:51, from 17:37 to 17:57\nWednesday: Booked at the following times: from 10:14 to 11:24, from 11:38 to 13:38, from 14:18 to 15:48\nThursday: Booked at the following times: from 10:01 to 11:41, from 12:13 to 13:53, from 15:14 to 16:04\nFriday: Booked at the following times: from 10:26 to 11:06, from 11:20 to 12:30, from 13:53 to 15:33, from 16:09 to 17:09\n\nThe schedule for Kimberly Gonzalez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:39 to 12:09, from 12:56 to 14:36, from 14:53 to 15:53\nTuesday: Booked at the following times: from 9:32 to 10:32, from 11:30 to 11:50, from 11:56 to 12:26, from 13:01 to 13:41, from 13:58 to 15:28, from 16:23 to 17:23, from 17:32 to 17:52\nWednesday: Booked at the following times: from 9:34 to 11:34, from 13:31 to 15:11, from 16:21 to 17:01\nThursday: Booked at the following times: from 10:45 to 12:55, from 12:58 to 13:28, from 14:15 to 16:05, from 16:19 to 17:09\nFriday: Booked at the following times: from 9:03 to 10:33, from 10:41 to 12:11, from 12:16 to 14:26, from 14:33 to 15:03, from 16:33 to 16:53\n\nThe schedule for Nancy Rivera's week in their local time is as follows:\nMonday: Booked at the following times: from 9:23 to 11:43, from 13:55 to 15:35\nTuesday: Booked at the following times: from 10:18 to 12:38, from 14:54 to 16:24\nWednesday: Booked at the following times: from 11:24 to 13:14, from 13:54 to 14:34, from 14:43 to 17:13\nThursday: Booked at the following times: from 9:27 to 9:57, from 9:58 to 10:28, from 10:35 to 11:15, from 11:20 to 11:50, from 12:04 to 12:44, from 14:33 to 17:03\nFriday: Booked at the following times: from 9:37 to 10:17, from 12:09 to 12:39, from 13:53 to 14:53, from 15:23 to 17:53\n\nEmily Mitchell requires 5 minutes free before and after the meeting\nKimberly Gonzalez can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nNancy Rivera requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Emily Mitchell": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[555, 685], [762, 822]], "Tuesday": [[648, 668], [814, 904], [980, 1060]], "Wednesday": [[596, 726], [736, 856], [912, 992]], "Thursday": [[545, 675], [760, 780], [864, 884], [978, 1048]], "Friday": [[540, 560], [607, 667], [678, 708], [750, 860], [869, 889], [932, 962], [973, 1023]]}, "free_org": {"Monday": [[540, 555], [685, 762], [822, 1080]], "Tuesday": [[540, 648], [668, 814], [904, 980], [1060, 1080]], "Wednesday": [[540, 596], [726, 736], [856, 912], [992, 1080]], "Thursday": [[540, 545], [675, 760], [780, 864], [884, 978], [1048, 1080]], "Friday": [[560, 607], [667, 678], [708, 750], [860, 869], [889, 932], [962, 973], [1023, 1080]]}, "constraint": ["buffer", 5]}, "Amanda Donaldson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[650, 670], [710, 730], [800, 850], [865, 895], [902, 952], [963, 1033]], "Tuesday": [[607, 647], [692, 722], [730, 820], [831, 951], [1057, 1077]], "Wednesday": [[614, 684], [698, 818], [858, 948]], "Thursday": [[601, 701], [733, 833], [914, 964]], "Friday": [[626, 666], [680, 750], [833, 933], [969, 1029]]}, "free_org": {"Monday": [[540, 650], [670, 710], [730, 800], [850, 865], [895, 902], [952, 963], [1033, 1080]], "Tuesday": [[540, 607], [647, 692], [722, 730], [820, 831], [951, 1057], [1077, 1080]], "Wednesday": [[540, 614], [684, 698], [818, 858], [948, 1080]], "Thursday": [[540, 601], [701, 733], [833, 914], [964, 1080]], "Friday": [[540, 626], [666, 680], [750, 833], [933, 969], [1029, 1080]]}, "constraint": ["none", null]}, "Kimberly Gonzalez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[579, 729], [776, 876], [893, 953]], "Tuesday": [[572, 632], [690, 710], [716, 746], [781, 821], [838, 928], [983, 1043], [1052, 1072]], "Wednesday": [[574, 694], [811, 911], [981, 1021]], "Thursday": [[645, 775], [778, 808], [855, 965], [979, 1029]], "Friday": [[543, 633], [641, 731], [736, 866], [873, 903], [993, 1013]]}, "free_org": {"Monday": [[540, 579], [729, 776], [876, 893], [953, 1080]], "Tuesday": [[540, 572], [632, 690], [710, 716], [746, 781], [821, 838], [928, 983], [1043, 1052], [1072, 1080]], "Wednesday": [[540, 574], [694, 811], [911, 981], [1021, 1080]], "Thursday": [[540, 645], [775, 778], [808, 855], [965, 979], [1029, 1080]], "Friday": [[540, 543], [633, 641], [731, 736], [866, 873], [903, 993], [1013, 1080]]}, "constraint": ["conflict", 40]}, "Nancy Rivera": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[563, 703], [835, 935]], "Tuesday": [[618, 758], [894, 984]], "Wednesday": [[684, 794], [834, 874], [883, 1033]], "Thursday": [[567, 597], [598, 628], [635, 675], [680, 710], [724, 764], [873, 1023]], "Friday": [[577, 617], [729, 759], [833, 893], [923, 1073]]}, "free_org": {"Monday": [[540, 563], [703, 835], [935, 1080]], "Tuesday": [[540, 618], [758, 894], [984, 1080]], "Wednesday": [[540, 684], [794, 834], [874, 883], [1033, 1080]], "Thursday": [[540, 567], [597, 598], [628, 635], [675, 680], [710, 724], [764, 873], [1023, 1080]], "Friday": [[540, 577], [617, 729], [759, 833], [893, 923], [1073, 1080]]}, "constraint": ["buffer", 15]}}, "solution": {"max_duration": 32, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLisa Kelley, Margaret Brown, David Serrano, Frank Jackson, Brian Sanchez, Sierra Lopez work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Lisa Kelley's week in their local time is as follows:\nMonday: Booked at the following times: from 10:47 to 11:07, from 12:19 to 14:19, from 14:21 to 14:41, from 14:43 to 15:43\nTuesday: Booked at the following times: from 10:43 to 11:13, from 11:21 to 13:21, from 14:02 to 14:32\nWednesday: Booked at the following times: from 10:56 to 11:16, from 12:19 to 13:39, from 14:03 to 14:33, from 14:44 to 15:34, from 16:18 to 16:48\nThursday: Booked at the following times: from 10:29 to 11:19, from 14:30 to 15:20, from 15:55 to 16:15, from 16:17 to 17:57\nFriday: Booked at the following times: from 11:50 to 13:40, from 14:01 to 14:31, from 14:44 to 15:44, from 15:59 to 16:49\n\nThe schedule for Margaret Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:15 to 11:35, from 13:54 to 15:34, from 16:39 to 17:59\nTuesday: Booked at the following times: from 10:12 to 12:02, from 12:03 to 12:33, from 12:58 to 15:08\nWednesday: Booked at the following times: from 9:25 to 11:15, from 12:38 to 13:08, from 13:21 to 14:11, from 14:30 to 17:00\nThursday: Booked at the following times: from 10:07 to 10:27, from 10:32 to 10:52, from 11:16 to 12:06, from 13:15 to 14:05, from 14:19 to 14:39, from 15:49 to 17:29\nFriday: Booked at the following times: from 9:09 to 10:09, from 11:36 to 12:46, from 15:20 to 17:20\n\nThe schedule for David Serrano's week in their local time is as follows:\nMonday: Booked at the following times: from 10:17 to 11:27, from 11:31 to 12:41, from 14:36 to 16:56\nTuesday: Booked at the following times: from 9:10 to 10:40, from 11:20 to 11:50, from 12:31 to 13:01, from 13:34 to 15:34, from 16:31 to 17:01, from 17:32 to 17:52\nWednesday: Booked at the following times: from 9:09 to 10:49, from 10:55 to 13:15, from 13:32 to 14:52, from 14:58 to 15:18\nThursday: Booked at the following times: from 9:06 to 10:26, from 10:49 to 11:09, from 11:10 to 11:40, from 12:12 to 13:12, from 15:13 to 17:43\nFriday: Booked at the following times: from 9:37 to 10:17, from 11:06 to 11:46, from 12:08 to 14:28, from 15:30 to 15:50, from 16:17 to 17:57\n\nThe schedule for Frank Jackson's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:04, from 9:34 to 10:34, from 11:24 to 12:24, from 13:34 to 13:51, anytime after 17:11\nTuesday: Booked at the following times: from 9:11 to 10:31, from 11:09 to 12:19, from 14:47 to 16:17\nWednesday: Booked at the following times: from 9:26 to 10:46, from 13:55 to 16:15\nThursday: Booked at the following times: from 9:59 to 12:19, from 13:02 to 13:22, from 13:52 to 15:12\nFriday: Booked at the following times: from 10:06 to 11:36, from 13:13 to 14:03, from 15:32 to 16:52, from 17:24 to 17:54\n\nThe schedule for Brian Sanchez's week in their local time is as follows:\nMonday: Booked at the following times: from 10:03 to 11:33, from 11:42 to 13:02, from 15:12 to 15:32\nTuesday: Booked at the following times: from 9:58 to 11:18, from 15:22 to 16:52\nWednesday: Booked at the following times: from 10:11 to 10:51, from 10:58 to 13:08, from 14:07 to 14:47, from 16:37 to 17:57\nThursday: Booked at the following times: from 10:53 to 12:03, from 12:45 to 14:05, from 14:30 to 15:20\nFriday: Booked at the following times: from 9:41 to 11:11, from 11:30 to 12:30, from 13:56 to 14:36, from 15:01 to 15:41, from 16:46 to 17:56\n\nThe schedule for Sierra Lopez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:11 to 10:01, from 10:40 to 12:10, from 12:41 to 13:51, from 15:42 to 16:12, from 16:51 to 17:31\nTuesday: Booked at the following times: from 9:59 to 10:29, from 10:30 to 12:20, from 12:53 to 15:13, from 15:37 to 17:07\nWednesday: Booked at the following times: from 11:45 to 14:05, from 14:17 to 16:07\nThursday: Booked at the following times: from 13:42 to 15:52, from 16:08 to 17:38\nFriday: Booked at the following times: from 9:53 to 12:03, from 12:45 to 14:55, from 15:33 to 16:43\n\nLisa Kelley can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nMargaret Brown needs a break for lunch on Wednesday from 11:34 to 12:04\nFrank Jackson can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nSierra Lopez requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Lisa Kelley": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[647, 667], [739, 859], [861, 881], [883, 943]], "Tuesday": [[643, 673], [681, 801], [842, 872]], "Wednesday": [[656, 676], [739, 819], [843, 873], [884, 934], [978, 1008]], "Thursday": [[629, 679], [870, 920], [955, 975], [977, 1077]], "Friday": [[710, 820], [841, 871], [884, 944], [959, 1009]]}, "free_org": {"Monday": [[540, 647], [667, 739], [859, 861], [881, 883], [943, 1080]], "Tuesday": [[540, 643], [673, 681], [801, 842], [872, 1080]], "Wednesday": [[540, 656], [676, 739], [819, 843], [873, 884], [934, 978], [1008, 1080]], "Thursday": [[540, 629], [679, 870], [920, 955], [975, 977], [1077, 1080]], "Friday": [[540, 710], [820, 841], [871, 884], [944, 959], [1009, 1080]]}, "constraint": ["conflict", 40]}, "Margaret Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[555, 695], [834, 934], [999, 1079]], "Tuesday": [[612, 722], [723, 753], [778, 908]], "Wednesday": [[565, 675], [758, 788], [801, 851], [870, 1020]], "Thursday": [[607, 627], [632, 652], [676, 726], [795, 845], [859, 879], [949, 1049]], "Friday": [[549, 609], [696, 766], [920, 1040]]}, "free_org": {"Monday": [[540, 555], [695, 834], [934, 999], [1079, 1080]], "Tuesday": [[540, 612], [722, 723], [753, 778], [908, 1080]], "Wednesday": [[540, 565], [675, 758], [788, 801], [851, 870], [1020, 1080]], "Thursday": [[540, 607], [627, 632], [652, 676], [726, 795], [845, 859], [879, 949], [1049, 1080]], "Friday": [[540, 549], [609, 696], [766, 920], [1040, 1080]]}, "constraint": ["lunch", ["Wednesday", [694, 724]]]}, "David Serrano": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[617, 687], [691, 761], [876, 1016]], "Tuesday": [[550, 640], [680, 710], [751, 781], [814, 934], [991, 1021], [1052, 1072]], "Wednesday": [[549, 649], [655, 795], [812, 892], [898, 918]], "Thursday": [[546, 626], [649, 669], [670, 700], [732, 792], [913, 1063]], "Friday": [[577, 617], [666, 706], [728, 868], [930, 950], [977, 1077]]}, "free_org": {"Monday": [[540, 617], [687, 691], [761, 876], [1016, 1080]], "Tuesday": [[540, 550], [640, 680], [710, 751], [781, 814], [934, 991], [1021, 1052], [1072, 1080]], "Wednesday": [[540, 549], [649, 655], [795, 812], [892, 898], [918, 1080]], "Thursday": [[540, 546], [626, 649], [669, 670], [700, 732], [792, 913], [1063, 1080]], "Friday": [[540, 577], [617, 666], [706, 728], [868, 930], [950, 977], [1077, 1080]]}, "constraint": ["none", null]}, "Frank Jackson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[544, 574], [634, 684], [744, 814], [831, 951], [951, 1031]], "Tuesday": [[551, 631], [669, 739], [887, 977]], "Wednesday": [[566, 646], [835, 975]], "Thursday": [[599, 739], [782, 802], [832, 912]], "Friday": [[606, 696], [793, 843], [932, 1012], [1044, 1074]]}, "free_org": {"Monday": [[540, 544], [574, 634], [684, 744], [814, 831], [1031, 1080]], "Tuesday": [[540, 551], [631, 669], [739, 887], [977, 1080]], "Wednesday": [[540, 566], [646, 835], [975, 1080]], "Thursday": [[540, 599], [739, 782], [802, 832], [912, 1080]], "Friday": [[540, 606], [696, 793], [843, 932], [1012, 1044], [1074, 1080]]}, "constraint": ["conflict", 60]}, "Brian Sanchez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[603, 693], [702, 782], [912, 932]], "Tuesday": [[598, 678], [922, 1012]], "Wednesday": [[611, 651], [658, 788], [847, 887], [997, 1077]], "Thursday": [[653, 723], [765, 845], [870, 920]], "Friday": [[581, 671], [690, 750], [836, 876], [901, 941], [1006, 1076]]}, "free_org": {"Monday": [[540, 603], [693, 702], [782, 912], [932, 1080]], "Tuesday": [[540, 598], [678, 922], [1012, 1080]], "Wednesday": [[540, 611], [651, 658], [788, 847], [887, 997], [1077, 1080]], "Thursday": [[540, 653], [723, 765], [845, 870], [920, 1080]], "Friday": [[540, 581], [671, 690], [750, 836], [876, 901], [941, 1006], [1076, 1080]]}, "constraint": ["none", null]}, "Sierra Lopez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[551, 601], [640, 730], [761, 831], [942, 972], [1011, 1051]], "Tuesday": [[599, 629], [630, 740], [773, 913], [937, 1027]], "Wednesday": [[705, 845], [857, 967]], "Thursday": [[822, 952], [968, 1058]], "Friday": [[593, 723], [765, 895], [933, 1003]]}, "free_org": {"Monday": [[540, 551], [601, 640], [730, 761], [831, 942], [972, 1011], [1051, 1080]], "Tuesday": [[540, 599], [629, 630], [740, 773], [913, 937], [1027, 1080]], "Wednesday": [[540, 705], [845, 857], [967, 1080]], "Thursday": [[540, 822], [952, 968], [1058, 1080]], "Friday": [[540, 593], [723, 765], [895, 933], [1003, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 20, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJennifer Ramos, Latasha Jarvis, Linda Mcdonald work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Jennifer Ramos's week in their local time is as follows:\nMonday: Booked at the following times: from 9:25 to 11:45, from 12:50 to 15:10\nTuesday: Booked at the following times: from 9:29 to 9:49, from 10:13 to 10:33, from 11:32 to 13:12, from 13:39 to 15:39, from 17:12 to 17:42\nWednesday: Booked at the following times: from 11:03 to 13:13, from 15:48 to 17:28\nThursday: Booked at the following times: from 10:05 to 11:35, from 13:53 to 14:33, from 14:46 to 15:16, from 15:34 to 17:34\nFriday: Booked at the following times: from 9:56 to 11:26, from 12:22 to 12:42, from 14:55 to 16:35\n\nThe schedule for Latasha Jarvis's week in their local time is as follows:\nMonday: Booked at the following times: from 11:18 to 12:18, from 13:46 to 15:36, from 17:01 to 17:41\nTuesday: Booked at the following times: from 9:54 to 11:24, from 12:21 to 13:31, from 14:15 to 15:45\nWednesday: Booked at the following times: from 9:37 to 10:07, from 11:30 to 12:50, from 14:03 to 14:53, from 15:38 to 16:38, from 17:06 to 17:26\nThursday: Booked at the following times: from 9:50 to 12:00, from 12:09 to 12:29, from 13:52 to 15:22\nFriday: Booked at the following times: from 11:38 to 12:38, from 13:19 to 13:39, from 14:05 to 14:55, from 15:03 to 17:23\n\nThe schedule for Linda Mcdonald's week in their local time is as follows:\nMonday: Booked at the following times: from 9:29 to 10:39, from 12:12 to 12:32, from 12:36 to 13:06, from 14:15 to 14:55, from 15:02 to 17:32, from 17:38 to 17:58\nTuesday: Booked at the following times: from 9:44 to 10:14, from 11:47 to 12:47, from 13:10 to 15:10, from 17:23 to 17:43\nWednesday: Booked at the following times: from 9:06 to 10:36, from 13:32 to 14:42, from 14:53 to 16:53, from 17:08 to 17:58\nThursday: Booked at the following times: from 9:30 to 9:50, from 10:05 to 10:35, from 11:10 to 11:40, from 11:53 to 13:43, from 14:21 to 14:51, from 15:21 to 15:51\nFriday: Booked at the following times: from 9:49 to 10:29, from 10:38 to 11:08, from 11:35 to 12:15, from 12:40 to 13:30, from 14:17 to 14:57, from 15:27 to 15:57, from 16:18 to 17:18\n\nJennifer Ramos needs a break for lunch on Tuesday from 11:01 to 11:31\nLatasha Jarvis is in a timezone that is 1 hour ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Jennifer Ramos": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[565, 705], [770, 910]], "Tuesday": [[569, 589], [613, 633], [692, 792], [819, 939], [1032, 1062]], "Wednesday": [[663, 793], [948, 1048]], "Thursday": [[605, 695], [833, 873], [886, 916], [934, 1054]], "Friday": [[596, 686], [742, 762], [895, 995]]}, "free_org": {"Monday": [[540, 565], [705, 770], [910, 1080]], "Tuesday": [[540, 569], [589, 613], [633, 692], [792, 819], [939, 1032], [1062, 1080]], "Wednesday": [[540, 663], [793, 948], [1048, 1080]], "Thursday": [[540, 605], [695, 833], [873, 886], [916, 934], [1054, 1080]], "Friday": [[540, 596], [686, 742], [762, 895], [995, 1080]]}, "constraint": ["lunch", ["Tuesday", [661, 691]]]}, "Latasha Jarvis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[678, 738], [826, 936], [1021, 1061]], "Tuesday": [[594, 684], [741, 811], [855, 945]], "Wednesday": [[577, 607], [690, 770], [843, 893], [938, 998], [1026, 1046]], "Thursday": [[590, 720], [729, 749], [832, 922]], "Friday": [[698, 758], [799, 819], [845, 895], [903, 1043]]}, "free_org": {"Monday": [[540, 678], [738, 826], [936, 1021], [1061, 1080]], "Tuesday": [[540, 594], [684, 741], [811, 855], [945, 1080]], "Wednesday": [[540, 577], [607, 690], [770, 843], [893, 938], [998, 1026], [1046, 1080]], "Thursday": [[540, 590], [720, 729], [749, 832], [922, 1080]], "Friday": [[540, 698], [758, 799], [819, 845], [895, 903], [1043, 1080]]}, "constraint": ["timezone", 1]}, "Linda Mcdonald": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[569, 639], [732, 752], [756, 786], [855, 895], [902, 1052], [1058, 1078]], "Tuesday": [[584, 614], [707, 767], [790, 910], [1043, 1063]], "Wednesday": [[546, 636], [812, 882], [893, 1013], [1028, 1078]], "Thursday": [[570, 590], [605, 635], [670, 700], [713, 823], [861, 891], [921, 951]], "Friday": [[589, 629], [638, 668], [695, 735], [760, 810], [857, 897], [927, 957], [978, 1038]]}, "free_org": {"Monday": [[540, 569], [639, 732], [752, 756], [786, 855], [895, 902], [1052, 1058], [1078, 1080]], "Tuesday": [[540, 584], [614, 707], [767, 790], [910, 1043], [1063, 1080]], "Wednesday": [[540, 546], [636, 812], [882, 893], [1013, 1028], [1078, 1080]], "Thursday": [[540, 570], [590, 605], [635, 670], [700, 713], [823, 861], [891, 921], [951, 1080]], "Friday": [[540, 589], [629, 638], [668, 695], [735, 760], [810, 857], [897, 927], [957, 978], [1038, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 81, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nFelicia Phillips, Kelly Daniels, Leslie Johnston work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Felicia Phillips's week in their local time is as follows:\nMonday: Booked at the following times: from 9:01 to 10:31, from 12:14 to 13:14, from 13:44 to 15:54\nTuesday: Booked at the following times: from 9:29 to 10:49, from 11:44 to 12:44, from 14:00 to 16:10, from 16:47 to 17:17, from 17:34 to 17:54\nWednesday: Booked at the following times: from 10:01 to 12:01, from 12:45 to 14:15\nThursday: Booked at the following times: from 13:14 to 15:24, from 15:43 to 17:03\nFriday: Booked at the following times: from 10:03 to 11:43, from 12:26 to 14:16\n\nThe schedule for Kelly Daniels's week in their local time is as follows:\nMonday: Booked at the following times: from 9:11 to 10:21, from 12:21 to 14:41\nTuesday: Booked at the following times: from 10:04 to 11:34, from 14:06 to 16:36\nWednesday: Booked at the following times: from 11:01 to 12:41, from 12:46 to 14:26, from 14:28 to 15:58, from 16:33 to 17:03\nThursday: Booked at the following times: from 9:12 to 9:42, from 9:55 to 10:25, from 11:20 to 12:20, from 12:52 to 13:22, from 13:58 to 14:58, from 15:08 to 15:38, from 16:01 to 17:11\nFriday: Booked at the following times: from 11:59 to 13:39, from 13:40 to 15:50, from 16:27 to 17:57\n\nThe schedule for Leslie Johnston's week in their local time is as follows:\nMonday: Booked at the following times: from 9:54 to 10:14, from 10:16 to 12:06, from 12:55 to 13:15, from 13:20 to 14:40, from 15:19 to 15:59, from 16:25 to 17:25\nTuesday: Booked at the following times: from 10:19 to 11:19, from 12:51 to 14:51, from 15:29 to 17:29\nWednesday: Booked at the following times: from 10:32 to 12:02, from 13:04 to 14:44\nThursday: Booked at the following times: from 9:18 to 10:38, from 11:12 to 12:02, from 14:10 to 16:40\nFriday: Booked at the following times: from 10:08 to 11:58, from 12:33 to 14:03, from 14:28 to 16:08\n\nFelicia Phillips is in a timezone that is 1 hour behind of other participants\nKelly Daniels requires 15 minutes free before and after the meeting\nLeslie Johnston can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Felicia Phillips": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[541, 631], [734, 794], [824, 954]], "Tuesday": [[569, 649], [704, 764], [840, 970], [1007, 1037], [1054, 1074]], "Wednesday": [[601, 721], [765, 855]], "Thursday": [[794, 924], [943, 1023]], "Friday": [[603, 703], [746, 856]]}, "free_org": {"Monday": [[540, 541], [631, 734], [794, 824], [954, 1080]], "Tuesday": [[540, 569], [649, 704], [764, 840], [970, 1007], [1037, 1054], [1074, 1080]], "Wednesday": [[540, 601], [721, 765], [855, 1080]], "Thursday": [[540, 794], [924, 943], [1023, 1080]], "Friday": [[540, 603], [703, 746], [856, 1080]]}, "constraint": ["timezone", -1]}, "Kelly Daniels": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[551, 621], [741, 881]], "Tuesday": [[604, 694], [846, 996]], "Wednesday": [[661, 761], [766, 866], [868, 958], [993, 1023]], "Thursday": [[552, 582], [595, 625], [680, 740], [772, 802], [838, 898], [908, 938], [961, 1031]], "Friday": [[719, 819], [820, 950], [987, 1077]]}, "free_org": {"Monday": [[540, 551], [621, 741], [881, 1080]], "Tuesday": [[540, 604], [694, 846], [996, 1080]], "Wednesday": [[540, 661], [761, 766], [866, 868], [958, 993], [1023, 1080]], "Thursday": [[540, 552], [582, 595], [625, 680], [740, 772], [802, 838], [898, 908], [938, 961], [1031, 1080]], "Friday": [[540, 719], [819, 820], [950, 987], [1077, 1080]]}, "constraint": ["buffer", 15]}, "Leslie Johnston": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[594, 614], [616, 726], [775, 795], [800, 880], [919, 959], [985, 1045]], "Tuesday": [[619, 679], [771, 891], [929, 1049]], "Wednesday": [[632, 722], [784, 884]], "Thursday": [[558, 638], [672, 722], [850, 1000]], "Friday": [[608, 718], [753, 843], [868, 968]]}, "free_org": {"Monday": [[540, 594], [614, 616], [726, 775], [795, 800], [880, 919], [959, 985], [1045, 1080]], "Tuesday": [[540, 619], [679, 771], [891, 929], [1049, 1080]], "Wednesday": [[540, 632], [722, 784], [884, 1080]], "Thursday": [[540, 558], [638, 672], [722, 850], [1000, 1080]], "Friday": [[540, 608], [718, 753], [843, 868], [968, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 55, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDale Palmer, Amanda Williams, James Santiago, William Walton, Phillip Page work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Dale Palmer's week in their local time is as follows:\nMonday: Booked at the following times: from 9:11 to 10:41, from 11:47 to 12:07, from 14:25 to 16:55\nTuesday: Booked at the following times: from 10:59 to 12:29, from 13:50 to 15:30\nWednesday: Booked at the following times: from 10:07 to 11:17, from 13:06 to 14:56, from 15:12 to 16:42, from 16:53 to 17:13, from 17:27 to 17:47\nThursday: Booked at the following times: from 11:02 to 13:32, from 13:42 to 14:52, from 15:07 to 16:27\nFriday: Booked at the following times: from 10:08 to 11:18, from 11:19 to 11:49, from 12:34 to 13:54, from 14:13 to 14:33, from 14:59 to 15:29, from 15:31 to 16:11, from 16:26 to 17:06\n\nThe schedule for Amanda Williams's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:02, from 10:22 to 10:29, from 11:59 to 12:22, from 14:12 to 15:27, from 15:47 to 15:49, from 16:09 to 17:05, anytime after 17:55\nTuesday: Booked at the following times: from 9:15 to 10:05, from 11:13 to 12:13, from 15:03 to 16:23\nWednesday: Booked at the following times: from 9:05 to 10:05, from 10:09 to 11:59, from 12:46 to 13:56, from 15:03 to 15:43, from 16:57 to 17:57\nThursday: Booked at the following times: from 10:24 to 10:44, from 11:04 to 12:54, from 13:08 to 15:38, from 15:52 to 17:12\nFriday: Booked at the following times: from 9:15 to 11:05, from 15:23 to 17:33\n\nThe schedule for James Santiago's week in their local time is as follows:\nMonday: Booked at the following times: from 9:30 to 10:10, from 11:21 to 13:21, from 15:08 to 17:08\nTuesday: Booked at the following times: from 10:38 to 11:58, from 15:13 to 17:03, from 17:36 to 17:56\nWednesday: Booked at the following times: from 9:47 to 11:27, from 14:18 to 16:38\nThursday: Booked at the following times: from 9:19 to 10:09, from 11:15 to 13:35, from 15:05 to 16:55, from 16:56 to 17:56\nFriday: Booked at the following times: from 9:19 to 11:39, from 12:20 to 14:30, from 14:32 to 15:02, from 15:57 to 16:27\n\nThe schedule for William Walton's week in their local time is as follows:\nMonday: Booked at the following times: from 10:30 to 12:10, from 12:32 to 14:02\nTuesday: Booked at the following times: from 10:05 to 12:25, from 14:57 to 15:57\nWednesday: Booked at the following times: from 9:47 to 10:07, from 10:16 to 10:36, from 12:19 to 13:39, from 15:46 to 16:26, from 16:57 to 17:37\nThursday: Booked at the following times: from 9:03 to 10:53, from 11:04 to 11:24, from 11:32 to 12:22, from 14:41 to 16:01, from 16:38 to 17:38\nFriday: Booked at the following times: from 9:42 to 11:52, from 15:06 to 17:36\n\nThe schedule for Phillip Page's week in their local time is as follows:\nMonday: Booked at the following times: from 9:20 to 11:00, from 11:20 to 13:30, from 14:17 to 14:57\nTuesday: Booked at the following times: from 9:42 to 10:52, from 11:33 to 12:23, from 13:56 to 16:26\nWednesday: Booked at the following times: from 9:10 to 11:40, from 12:00 to 13:40, from 14:31 to 15:01, from 15:04 to 15:24, from 15:49 to 16:19\nThursday: Booked at the following times: from 10:19 to 12:09, from 14:11 to 16:21\nFriday: Booked at the following times: from 9:22 to 11:42, from 13:09 to 14:09, from 14:54 to 16:44\n\nDale Palmer requires 5 minutes free before and after the meeting\nJames Santiago needs a break for lunch on Tuesday from 12:09 to 12:39\nWilliam Walton is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Dale Palmer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[551, 641], [707, 727], [865, 1015]], "Tuesday": [[659, 749], [830, 930]], "Wednesday": [[607, 677], [786, 896], [912, 1002], [1013, 1033], [1047, 1067]], "Thursday": [[662, 812], [822, 892], [907, 987]], "Friday": [[608, 678], [679, 709], [754, 834], [853, 873], [899, 929], [931, 971], [986, 1026]]}, "free_org": {"Monday": [[540, 551], [641, 707], [727, 865], [1015, 1080]], "Tuesday": [[540, 659], [749, 830], [930, 1080]], "Wednesday": [[540, 607], [677, 786], [896, 912], [1002, 1013], [1033, 1047], [1067, 1080]], "Thursday": [[540, 662], [812, 822], [892, 907], [987, 1080]], "Friday": [[540, 608], [678, 679], [709, 754], [834, 853], [873, 899], [929, 931], [971, 986], [1026, 1080]]}, "constraint": ["buffer", 5]}, "Amanda Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[542, 622], [629, 719], [742, 852], [927, 947], [949, 969], [1025, 1055], [1055, 1075]], "Tuesday": [[555, 605], [673, 733], [903, 983]], "Wednesday": [[545, 605], [609, 719], [766, 836], [903, 943], [1017, 1077]], "Thursday": [[624, 644], [664, 774], [788, 938], [952, 1032]], "Friday": [[555, 665], [923, 1053]]}, "free_org": {"Monday": [[540, 542], [622, 629], [719, 742], [852, 927], [947, 949], [969, 1025], [1075, 1080]], "Tuesday": [[540, 555], [605, 673], [733, 903], [983, 1080]], "Wednesday": [[540, 545], [605, 609], [719, 766], [836, 903], [943, 1017], [1077, 1080]], "Thursday": [[540, 624], [644, 664], [774, 788], [938, 952], [1032, 1080]], "Friday": [[540, 555], [665, 923], [1053, 1080]]}, "constraint": ["none", null]}, "James Santiago": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[570, 610], [681, 801], [908, 1028]], "Tuesday": [[638, 718], [913, 1023], [1056, 1076]], "Wednesday": [[587, 687], [858, 998]], "Thursday": [[559, 609], [675, 815], [905, 1015], [1016, 1076]], "Friday": [[559, 699], [740, 870], [872, 902], [957, 987]]}, "free_org": {"Monday": [[540, 570], [610, 681], [801, 908], [1028, 1080]], "Tuesday": [[540, 638], [718, 913], [1023, 1056], [1076, 1080]], "Wednesday": [[540, 587], [687, 858], [998, 1080]], "Thursday": [[540, 559], [609, 675], [815, 905], [1015, 1016], [1076, 1080]], "Friday": [[540, 559], [699, 740], [870, 872], [902, 957], [987, 1080]]}, "constraint": ["lunch", ["Tuesday", [729, 759]]]}, "William Walton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[630, 730], [752, 842]], "Tuesday": [[605, 745], [897, 957]], "Wednesday": [[587, 607], [616, 636], [739, 819], [946, 986], [1017, 1057]], "Thursday": [[543, 653], [664, 684], [692, 742], [881, 961], [998, 1058]], "Friday": [[582, 712], [906, 1056]]}, "free_org": {"Monday": [[540, 630], [730, 752], [842, 1080]], "Tuesday": [[540, 605], [745, 897], [957, 1080]], "Wednesday": [[540, 587], [607, 616], [636, 739], [819, 946], [986, 1017], [1057, 1080]], "Thursday": [[540, 543], [653, 664], [684, 692], [742, 881], [961, 998], [1058, 1080]], "Friday": [[540, 582], [712, 906], [1056, 1080]]}, "constraint": ["timezone", -1]}, "Phillip Page": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[560, 660], [680, 810], [857, 897]], "Tuesday": [[582, 652], [693, 743], [836, 986]], "Wednesday": [[550, 700], [720, 820], [871, 901], [904, 924], [949, 979]], "Thursday": [[619, 729], [851, 981]], "Friday": [[562, 702], [789, 849], [894, 1004]]}, "free_org": {"Monday": [[540, 560], [660, 680], [810, 857], [897, 1080]], "Tuesday": [[540, 582], [652, 693], [743, 836], [986, 1080]], "Wednesday": [[540, 550], [700, 720], [820, 871], [901, 904], [924, 949], [979, 1080]], "Thursday": [[540, 619], [729, 851], [981, 1080]], "Friday": [[540, 562], [702, 789], [849, 894], [1004, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 33, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nThomas Steele, Jeffrey Anderson, Dr. Tracy Jackson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Thomas Steele's week in their local time is as follows:\nMonday: Booked at the following times: from 10:42 to 13:02, from 16:07 to 17:07\nTuesday: Booked at the following times: from 13:00 to 15:20, from 15:46 to 16:06, from 17:06 to 17:46\nWednesday: Free only at the following times: anytime before 10:29, from 11:29 to 12:05, from 13:05 to 13:45, from 14:15 to 14:39, anytime after 16:59\nThursday: Booked at the following times: from 10:21 to 11:41, from 12:27 to 14:17, from 15:03 to 16:33\nFriday: Booked at the following times: from 9:57 to 12:07, from 12:32 to 13:42, from 14:22 to 15:02\n\nThe schedule for Jeffrey Anderson's week in their local time is as follows:\nMonday: Booked at the following times: from 12:04 to 14:04, from 15:12 to 16:52, from 17:04 to 17:54\nTuesday: Booked at the following times: from 12:15 to 14:45, from 15:07 to 17:07\nWednesday: Free only at the following times: anytime before 10:29, from 12:39 to 14:08, from 14:48 to 15:18, anytime after 17:08\nThursday: Booked at the following times: from 9:26 to 11:26, from 12:11 to 13:41, from 16:54 to 17:54\nFriday: Booked at the following times: from 9:36 to 11:36, from 13:04 to 13:44, from 17:01 to 17:51\n\nThe schedule for Dr. Tracy Jackson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:25 to 10:05, from 11:53 to 14:03, from 14:51 to 15:51\nTuesday: Booked at the following times: from 10:36 to 11:16, from 13:02 to 14:52, from 15:31 to 17:31\nWednesday: Booked at the following times: from 9:45 to 10:45, from 10:59 to 11:19, from 11:35 to 12:55, from 12:58 to 14:18, from 15:26 to 17:26\nThursday: Booked at the following times: from 10:06 to 12:06, from 14:35 to 16:15\nFriday: Booked at the following times: from 10:15 to 10:35, from 10:45 to 12:05, from 12:25 to 12:55, from 13:45 to 14:55, from 15:10 to 15:50, from 15:55 to 16:55, from 17:16 to 17:46\n\nThomas Steele can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nJeffrey Anderson requires 5 minutes free before and after the meeting\nDr. Tracy Jackson is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Thomas Steele": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[642, 782], [967, 1027]], "Tuesday": [[780, 920], [946, 966], [1026, 1066]], "Wednesday": [[629, 689], [725, 765], [765, 785], [825, 855], [879, 1019]], "Thursday": [[621, 701], [747, 857], [903, 993]], "Friday": [[597, 727], [752, 822], [862, 902]]}, "free_org": {"Monday": [[540, 642], [782, 967], [1027, 1080]], "Tuesday": [[540, 780], [920, 946], [966, 1026], [1066, 1080]], "Wednesday": [[540, 629], [689, 725], [785, 825], [855, 879], [1019, 1080]], "Thursday": [[540, 621], [701, 747], [857, 903], [993, 1080]], "Friday": [[540, 597], [727, 752], [822, 862], [902, 1080]]}, "constraint": ["conflict", 40]}, "Jeffrey Anderson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[724, 844], [912, 1012], [1024, 1074]], "Tuesday": [[735, 885], [907, 1027]], "Wednesday": [[629, 659], [659, 759], [848, 888], [918, 1028]], "Thursday": [[566, 686], [731, 821], [1014, 1074]], "Friday": [[576, 696], [784, 824], [1021, 1071]]}, "free_org": {"Monday": [[540, 724], [844, 912], [1012, 1024], [1074, 1080]], "Tuesday": [[540, 735], [885, 907], [1027, 1080]], "Wednesday": [[540, 629], [759, 848], [888, 918], [1028, 1080]], "Thursday": [[540, 566], [686, 731], [821, 1014], [1074, 1080]], "Friday": [[540, 576], [696, 784], [824, 1021], [1071, 1080]]}, "constraint": ["buffer", 5]}, "Dr. Tracy Jackson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[565, 605], [713, 843], [891, 951]], "Tuesday": [[636, 676], [782, 892], [931, 1051]], "Wednesday": [[585, 645], [659, 679], [695, 775], [778, 858], [926, 1046]], "Thursday": [[606, 726], [875, 975]], "Friday": [[615, 635], [645, 725], [745, 775], [825, 895], [910, 950], [955, 1015], [1036, 1066]]}, "free_org": {"Monday": [[540, 565], [605, 713], [843, 891], [951, 1080]], "Tuesday": [[540, 636], [676, 782], [892, 931], [1051, 1080]], "Wednesday": [[540, 585], [645, 659], [679, 695], [775, 778], [858, 926], [1046, 1080]], "Thursday": [[540, 606], [726, 875], [975, 1080]], "Friday": [[540, 615], [635, 645], [725, 745], [775, 825], [895, 910], [950, 955], [1015, 1036], [1066, 1080]]}, "constraint": ["timezone", -1]}}, "solution": {"max_duration": 96, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nChristine Thomas, Danielle Fisher, Richard Reed, Joshua Woods, Mary Smith, Laurie Davis work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Christine Thomas's week in their local time is as follows:\nMonday: Booked at the following times: from 9:22 to 10:32, from 11:40 to 12:10, from 12:37 to 13:37, from 13:55 to 15:05, from 15:46 to 16:36\nTuesday: Booked at the following times: from 9:46 to 12:16, from 12:38 to 13:08, from 14:27 to 16:07\nWednesday: Booked at the following times: from 10:28 to 11:28, from 12:08 to 12:48, from 14:08 to 16:08\nThursday: Booked at the following times: from 10:17 to 10:57, from 11:45 to 13:55, from 14:16 to 16:46, from 17:08 to 17:38\nFriday: Booked at the following times: from 11:03 to 13:23, from 13:34 to 14:34, from 15:14 to 17:04\n\nThe schedule for Danielle Fisher's week in their local time is as follows:\nMonday: Booked at the following times: from 9:05 to 10:45, from 12:13 to 12:43, from 13:39 to 14:29, from 14:58 to 15:28\nTuesday: Booked at the following times: from 11:05 to 11:35, from 11:39 to 13:49, from 15:09 to 15:39, from 16:20 to 16:40, from 16:50 to 17:20\nWednesday: Booked at the following times: from 9:46 to 11:56, from 12:35 to 12:55, from 13:00 to 13:20, from 14:23 to 15:53, from 16:06 to 16:46\nThursday: Booked at the following times: from 9:04 to 11:24, from 11:59 to 14:19, from 14:28 to 16:28\nFriday: Booked at the following times: from 10:00 to 11:40, from 14:02 to 15:52, from 16:07 to 17:47\n\nThe schedule for Richard Reed's week in their local time is as follows:\nMonday: Booked at the following times: from 9:27 to 10:17, from 11:29 to 12:29, from 12:49 to 14:19, from 14:20 to 14:40, from 15:04 to 15:24, from 15:56 to 16:26, from 17:31 to 17:51\nTuesday: Booked at the following times: from 10:27 to 12:27, from 12:38 to 13:48, from 15:23 to 17:33\nWednesday: Booked at the following times: from 9:43 to 10:23, from 10:34 to 12:14, from 12:19 to 12:59, from 13:56 to 14:36, from 16:43 to 17:43\nThursday: Booked at the following times: from 10:06 to 11:16, from 11:54 to 12:24, from 15:32 to 17:12\nFriday: Booked at the following times: from 9:43 to 10:13, from 11:03 to 13:03, from 13:44 to 15:34, from 15:47 to 16:07, from 16:42 to 17:42\n\nThe schedule for Joshua Woods's week in their local time is as follows:\nMonday: Booked at the following times: from 10:18 to 11:08, from 12:27 to 13:57, from 14:04 to 16:34\nTuesday: Booked at the following times: from 9:26 to 10:16, from 12:05 to 13:15, from 13:38 to 14:28, from 15:04 to 16:04, from 16:55 to 17:25\nWednesday: Booked at the following times: from 9:22 to 9:52, from 10:17 to 10:57, from 11:42 to 13:12, from 14:08 to 14:38, from 15:31 to 17:11\nThursday: Free only at the following times: anytime before 9:06, from 9:56 to 11:55, from 13:45 to 13:49, from 14:59 to 15:28, anytime after 16:48\nFriday: Booked at the following times: from 9:45 to 10:35, from 11:27 to 12:37, from 13:16 to 14:06, from 14:19 to 16:29\n\nThe schedule for Mary Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 9:59, from 10:43 to 11:03, from 11:10 to 13:10, from 13:15 to 13:45, from 14:14 to 16:34\nTuesday: Free only at the following times: anytime before 9:35, from 12:05 to 12:30, from 13:10 to 13:24, from 13:54 to 15:23, anytime after 16:43\nWednesday: Booked at the following times: from 9:38 to 10:18, from 11:49 to 13:39, from 15:01 to 15:21, from 15:44 to 17:24\nThursday: Booked at the following times: from 9:42 to 11:12, from 11:22 to 12:32, from 13:37 to 14:57, from 16:25 to 16:45, from 17:08 to 17:28\nFriday: Booked at the following times: from 9:06 to 10:16, from 10:57 to 11:27, from 14:40 to 16:50\n\nThe schedule for Laurie Davis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:31 to 11:11, from 13:13 to 14:43, from 15:17 to 15:57, from 16:31 to 17:21\nTuesday: Booked at the following times: from 10:36 to 11:56, from 12:00 to 12:20, from 13:55 to 14:15, from 14:21 to 16:11, from 16:39 to 17:19, from 17:29 to 17:49\nWednesday: Booked at the following times: from 12:50 to 14:20, from 14:30 to 16:50\nThursday: Booked at the following times: from 9:31 to 10:01, from 10:07 to 12:37, from 13:04 to 13:24, from 15:30 to 16:20, from 16:26 to 16:56\nFriday: Booked at the following times: from 9:07 to 10:27, from 12:35 to 13:45, from 15:03 to 16:13, from 16:17 to 16:57\n\nDanielle Fisher is in a timezone that is 2 hours behind of other participants\nJoshua Woods is in a timezone that is 3 hours behind of other participants\nLaurie Davis can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Christine Thomas": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[562, 632], [700, 730], [757, 817], [835, 905], [946, 996]], "Tuesday": [[586, 736], [758, 788], [867, 967]], "Wednesday": [[628, 688], [728, 768], [848, 968]], "Thursday": [[617, 657], [705, 835], [856, 1006], [1028, 1058]], "Friday": [[663, 803], [814, 874], [914, 1024]]}, "free_org": {"Monday": [[540, 562], [632, 700], [730, 757], [817, 835], [905, 946], [996, 1080]], "Tuesday": [[540, 586], [736, 758], [788, 867], [967, 1080]], "Wednesday": [[540, 628], [688, 728], [768, 848], [968, 1080]], "Thursday": [[540, 617], [657, 705], [835, 856], [1006, 1028], [1058, 1080]], "Friday": [[540, 663], [803, 814], [874, 914], [1024, 1080]]}, "constraint": ["none", null]}, "Danielle Fisher": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[545, 645], [733, 763], [819, 869], [898, 928]], "Tuesday": [[665, 695], [699, 829], [909, 939], [980, 1000], [1010, 1040]], "Wednesday": [[586, 716], [755, 775], [780, 800], [863, 953], [966, 1006]], "Thursday": [[544, 684], [719, 859], [868, 988]], "Friday": [[600, 700], [842, 952], [967, 1067]]}, "free_org": {"Monday": [[540, 545], [645, 733], [763, 819], [869, 898], [928, 1080]], "Tuesday": [[540, 665], [695, 699], [829, 909], [939, 980], [1000, 1010], [1040, 1080]], "Wednesday": [[540, 586], [716, 755], [775, 780], [800, 863], [953, 966], [1006, 1080]], "Thursday": [[540, 544], [684, 719], [859, 868], [988, 1080]], "Friday": [[540, 600], [700, 842], [952, 967], [1067, 1080]]}, "constraint": ["timezone", -2]}, "Richard Reed": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[567, 617], [689, 749], [769, 859], [860, 880], [904, 924], [956, 986], [1051, 1071]], "Tuesday": [[627, 747], [758, 828], [923, 1053]], "Wednesday": [[583, 623], [634, 734], [739, 779], [836, 876], [1003, 1063]], "Thursday": [[606, 676], [714, 744], [932, 1032]], "Friday": [[583, 613], [663, 783], [824, 934], [947, 967], [1002, 1062]]}, "free_org": {"Monday": [[540, 567], [617, 689], [749, 769], [859, 860], [880, 904], [924, 956], [986, 1051], [1071, 1080]], "Tuesday": [[540, 627], [747, 758], [828, 923], [1053, 1080]], "Wednesday": [[540, 583], [623, 634], [734, 739], [779, 836], [876, 1003], [1063, 1080]], "Thursday": [[540, 606], [676, 714], [744, 932], [1032, 1080]], "Friday": [[540, 583], [613, 663], [783, 824], [934, 947], [967, 1002], [1062, 1080]]}, "constraint": ["none", null]}, "Joshua Woods": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[618, 668], [747, 837], [844, 994]], "Tuesday": [[566, 616], [725, 795], [818, 868], [904, 964], [1015, 1045]], "Wednesday": [[562, 592], [617, 657], [702, 792], [848, 878], [931, 1031]], "Thursday": [[546, 566], [566, 596], [715, 825], [829, 899], [928, 1008]], "Friday": [[585, 635], [687, 757], [796, 846], [859, 989]]}, "free_org": {"Monday": [[540, 618], [668, 747], [837, 844], [994, 1080]], "Tuesday": [[540, 566], [616, 725], [795, 818], [868, 904], [964, 1015], [1045, 1080]], "Wednesday": [[540, 562], [592, 617], [657, 702], [792, 848], [878, 931], [1031, 1080]], "Thursday": [[540, 546], [596, 715], [825, 829], [899, 928], [1008, 1080]], "Friday": [[540, 585], [635, 687], [757, 796], [846, 859], [989, 1080]]}, "constraint": ["timezone", -3]}, "Mary Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 599], [643, 663], [670, 790], [795, 825], [854, 994]], "Tuesday": [[575, 725], [750, 790], [804, 834], [923, 943], [943, 1003]], "Wednesday": [[578, 618], [709, 819], [901, 921], [944, 1044]], "Thursday": [[582, 672], [682, 752], [817, 897], [985, 1005], [1028, 1048]], "Friday": [[546, 616], [657, 687], [880, 1010]]}, "free_org": {"Monday": [[540, 549], [599, 643], [663, 670], [790, 795], [825, 854], [994, 1080]], "Tuesday": [[540, 575], [725, 750], [790, 804], [834, 923], [1003, 1080]], "Wednesday": [[540, 578], [618, 709], [819, 901], [921, 944], [1044, 1080]], "Thursday": [[540, 582], [672, 682], [752, 817], [897, 985], [1005, 1028], [1048, 1080]], "Friday": [[540, 546], [616, 657], [687, 880], [1010, 1080]]}, "constraint": ["none", null]}, "Laurie Davis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[571, 671], [793, 883], [917, 957], [991, 1041]], "Tuesday": [[636, 716], [720, 740], [835, 855], [861, 971], [999, 1039], [1049, 1069]], "Wednesday": [[770, 860], [870, 1010]], "Thursday": [[571, 601], [607, 757], [784, 804], [930, 980], [986, 1016]], "Friday": [[547, 627], [755, 825], [903, 973], [977, 1017]]}, "free_org": {"Monday": [[540, 571], [671, 793], [883, 917], [957, 991], [1041, 1080]], "Tuesday": [[540, 636], [716, 720], [740, 835], [855, 861], [971, 999], [1039, 1049], [1069, 1080]], "Wednesday": [[540, 770], [860, 870], [1010, 1080]], "Thursday": [[540, 571], [601, 607], [757, 784], [804, 930], [980, 986], [1016, 1080]], "Friday": [[540, 547], [627, 755], [825, 903], [973, 977], [1017, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 21, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nPaul Young, Thomas Stein, Julie Bautista, Tracy Huffman, Curtis Smith, Alicia Hicks work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Paul Young's week in their local time is as follows:\nMonday: Booked at the following times: from 9:53 to 10:23, from 10:30 to 11:10, from 11:36 to 12:06, from 12:22 to 13:02, from 13:09 to 13:29, from 13:57 to 14:57, from 15:12 to 15:42, from 16:45 to 17:25\nTuesday: Free only at the following times: anytime before 9:17, from 9:47 to 10:06, from 10:46 to 11:15, from 11:55 to 12:15, from 14:25 to 14:38, from 15:08 to 16:01, from 16:31 to 17:14, anytime after 17:44\nWednesday: Booked at the following times: from 10:09 to 12:19, from 12:48 to 14:48, from 15:17 to 15:47\nThursday: Booked at the following times: from 10:15 to 12:15, from 14:29 to 15:59, from 16:33 to 17:33\nFriday: Booked at the following times: from 9:17 to 11:47, from 15:02 to 17:32\n\nThe schedule for Thomas Stein's week in their local time is as follows:\nMonday: Booked at the following times: from 9:54 to 10:44, from 11:53 to 13:53, from 14:25 to 15:05, from 16:16 to 17:36\nTuesday: Free only at the following times: anytime before 9:58, from 10:58 to 11:06, from 11:46 to 12:53, from 14:53 to 15:00, from 15:40 to 16:52, anytime after 17:52\nWednesday: Free only at the following times: anytime before 9:44, from 11:24 to 11:47, from 12:47 to 14:05, from 14:25 to 15:11, anytime after 17:31\nThursday: Booked at the following times: from 9:04 to 10:14, from 11:21 to 11:51, from 13:04 to 13:44, from 14:12 to 15:42, from 16:25 to 17:35\nFriday: Free only at the following times: anytime before 10:55, from 13:45 to 14:32, from 15:12 to 16:17, anytime after 17:37\n\nThe schedule for Julie Bautista's week in their local time is as follows:\nMonday: Booked at the following times: from 10:13 to 11:33, from 12:49 to 14:49, from 16:07 to 17:07\nTuesday: Booked at the following times: from 9:15 to 9:35, from 9:56 to 11:46, from 14:04 to 16:14, from 17:13 to 17:53\nWednesday: Booked at the following times: from 10:02 to 12:12, from 12:22 to 14:52\nThursday: Booked at the following times: from 9:42 to 10:02, from 10:07 to 11:27, from 11:37 to 12:07, from 12:14 to 14:04, from 15:46 to 17:06\nFriday: Booked at the following times: from 10:14 to 11:34, from 14:32 to 15:02, from 15:14 to 17:44\n\nThe schedule for Tracy Huffman's week in their local time is as follows:\nMonday: Free only at the following times: from 10:50 to 11:03, from 11:43 to 11:46, from 12:46 to 13:27, from 13:47 to 14:38, from 14:58 to 15:27, anytime after 17:07\nTuesday: Booked at the following times: from 10:03 to 11:43, from 13:51 to 14:51, from 15:25 to 16:35, from 16:49 to 17:09\nWednesday: Booked at the following times: from 9:20 to 10:30, from 11:19 to 13:49, from 14:30 to 17:00\nThursday: Booked at the following times: from 9:32 to 12:02, from 14:47 to 16:57\nFriday: Booked at the following times: from 11:05 to 13:05, from 13:14 to 15:14\n\nThe schedule for Curtis Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 9:18 to 10:48, from 10:54 to 11:24, from 12:34 to 13:24, from 13:37 to 15:27\nTuesday: Booked at the following times: from 9:54 to 11:34, from 12:14 to 12:44, from 13:15 to 14:25, from 14:32 to 15:22, from 16:03 to 17:33\nWednesday: Booked at the following times: from 9:14 to 10:54, from 11:52 to 13:12\nThursday: Booked at the following times: from 9:34 to 10:14, from 11:13 to 12:23, from 13:08 to 13:48, from 13:50 to 15:00, from 15:08 to 15:58, from 16:35 to 17:25\nFriday: Booked at the following times: from 9:21 to 11:31, from 13:20 to 15:10\n\nThe schedule for Alicia Hicks's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 11:22, from 14:12 to 15:10, from 15:40 to 15:42, from 17:02 to 17:14, anytime after 17:44\nTuesday: Booked at the following times: from 9:19 to 9:49, from 10:40 to 11:40, from 12:13 to 14:23, from 14:55 to 16:55\nWednesday: Booked at the following times: from 10:31 to 10:51, from 11:38 to 12:58, from 13:08 to 13:28, from 14:18 to 16:18, from 16:40 to 17:00\nThursday: Booked at the following times: from 9:09 to 10:49, from 12:30 to 12:50, from 13:23 to 14:53, from 15:55 to 17:55\nFriday: Booked at the following times: from 9:14 to 9:44, from 9:49 to 10:59, from 11:58 to 12:58, from 13:37 to 16:07, from 16:22 to 16:52\n\nPaul Young needs a break for lunch on Thursday from 12:34 to 13:04\nThomas Stein requires 15 minutes free before and after the meeting\nJulie Bautista needs a break for lunch on Monday from 11:46 to 12:16\nTracy Huffman can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nCurtis Smith can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Paul Young": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[593, 623], [630, 670], [696, 726], [742, 782], [789, 809], [837, 897], [912, 942], [1005, 1045]], "Tuesday": [[557, 587], [606, 626], [626, 646], [675, 715], [735, 865], [878, 908], [961, 991], [1034, 1064]], "Wednesday": [[609, 739], [768, 888], [917, 947]], "Thursday": [[615, 735], [869, 959], [993, 1053]], "Friday": [[557, 707], [902, 1052]]}, "free_org": {"Monday": [[540, 593], [623, 630], [670, 696], [726, 742], [782, 789], [809, 837], [897, 912], [942, 1005], [1045, 1080]], "Tuesday": [[540, 557], [587, 606], [646, 675], [715, 735], [865, 878], [908, 961], [991, 1034], [1064, 1080]], "Wednesday": [[540, 609], [739, 768], [888, 917], [947, 1080]], "Thursday": [[540, 615], [735, 869], [959, 993], [1053, 1080]], "Friday": [[540, 557], [707, 902], [1052, 1080]]}, "constraint": ["lunch", ["Thursday", [754, 784]]]}, "Thomas Stein": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[594, 644], [713, 833], [865, 905], [976, 1056]], "Tuesday": [[598, 658], [666, 706], [773, 893], [900, 920], [920, 940], [1012, 1072]], "Wednesday": [[584, 634], [634, 684], [707, 767], [845, 865], [911, 1051]], "Thursday": [[544, 614], [681, 711], [784, 824], [852, 942], [985, 1055]], "Friday": [[655, 715], [715, 825], [872, 912], [977, 1057]]}, "free_org": {"Monday": [[540, 594], [644, 713], [833, 865], [905, 976], [1056, 1080]], "Tuesday": [[540, 598], [658, 666], [706, 773], [893, 900], [940, 1012], [1072, 1080]], "Wednesday": [[540, 584], [684, 707], [767, 845], [865, 911], [1051, 1080]], "Thursday": [[540, 544], [614, 681], [711, 784], [824, 852], [942, 985], [1055, 1080]], "Friday": [[540, 655], [825, 872], [912, 977], [1057, 1080]]}, "constraint": ["buffer", 15]}, "Julie Bautista": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[613, 693], [769, 889], [967, 1027]], "Tuesday": [[555, 575], [596, 706], [844, 974], [1033, 1073]], "Wednesday": [[602, 732], [742, 892]], "Thursday": [[582, 602], [607, 687], [697, 727], [734, 844], [946, 1026]], "Friday": [[614, 694], [872, 902], [914, 1064]]}, "free_org": {"Monday": [[540, 613], [693, 769], [889, 967], [1027, 1080]], "Tuesday": [[540, 555], [575, 596], [706, 844], [974, 1033], [1073, 1080]], "Wednesday": [[540, 602], [732, 742], [892, 1080]], "Thursday": [[540, 582], [602, 607], [687, 697], [727, 734], [844, 946], [1026, 1080]], "Friday": [[540, 614], [694, 872], [902, 914], [1064, 1080]]}, "constraint": ["lunch", ["Monday", [706, 736]]]}, "Tracy Huffman": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 650], [663, 703], [706, 766], [807, 827], [878, 898], [927, 1027]], "Tuesday": [[603, 703], [831, 891], [925, 995], [1009, 1029]], "Wednesday": [[560, 630], [679, 829], [870, 1020]], "Thursday": [[572, 722], [887, 1017]], "Friday": [[665, 785], [794, 914]]}, "free_org": {"Monday": [[650, 663], [703, 706], [766, 807], [827, 878], [898, 927], [1027, 1080]], "Tuesday": [[540, 603], [703, 831], [891, 925], [995, 1009], [1029, 1080]], "Wednesday": [[540, 560], [630, 679], [829, 870], [1020, 1080]], "Thursday": [[540, 572], [722, 887], [1017, 1080]], "Friday": [[540, 665], [785, 794], [914, 1080]]}, "constraint": ["conflict", 20]}, "Curtis Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[558, 648], [654, 684], [754, 804], [817, 927]], "Tuesday": [[594, 694], [734, 764], [795, 865], [872, 922], [963, 1053]], "Wednesday": [[554, 654], [712, 792]], "Thursday": [[574, 614], [673, 743], [788, 828], [830, 900], [908, 958], [995, 1045]], "Friday": [[561, 691], [800, 910]]}, "free_org": {"Monday": [[540, 558], [648, 654], [684, 754], [804, 817], [927, 1080]], "Tuesday": [[540, 594], [694, 734], [764, 795], [865, 872], [922, 963], [1053, 1080]], "Wednesday": [[540, 554], [654, 712], [792, 1080]], "Thursday": [[540, 574], [614, 673], [743, 788], [828, 830], [900, 908], [958, 995], [1045, 1080]], "Friday": [[540, 561], [691, 800], [910, 1080]]}, "constraint": ["conflict", 60]}, "Alicia Hicks": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[682, 742], [742, 852], [910, 940], [942, 1022], [1034, 1064]], "Tuesday": [[559, 589], [640, 700], [733, 863], [895, 1015]], "Wednesday": [[631, 651], [698, 778], [788, 808], [858, 978], [1000, 1020]], "Thursday": [[549, 649], [750, 770], [803, 893], [955, 1075]], "Friday": [[554, 584], [589, 659], [718, 778], [817, 967], [982, 1012]]}, "free_org": {"Monday": [[540, 682], [852, 910], [940, 942], [1022, 1034], [1064, 1080]], "Tuesday": [[540, 559], [589, 640], [700, 733], [863, 895], [1015, 1080]], "Wednesday": [[540, 631], [651, 698], [778, 788], [808, 858], [978, 1000], [1020, 1080]], "Thursday": [[540, 549], [649, 750], [770, 803], [893, 955], [1075, 1080]], "Friday": [[540, 554], [584, 589], [659, 718], [778, 817], [967, 982], [1012, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 12, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nIan Price, Dennis Booth, Robert Sutton, Jeffrey Wells, Emma Hall work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ian Price's week in their local time is as follows:\nMonday: Free only at the following times: from 10:40 to 11:46, from 12:56 to 13:33, from 14:23 to 14:43, anytime after 15:43\nTuesday: Booked at the following times: from 10:38 to 12:18, from 12:41 to 15:01\nWednesday: Booked at the following times: from 9:53 to 11:03, from 11:38 to 12:58, from 14:03 to 15:13, from 15:44 to 17:34\nThursday: Booked at the following times: from 10:54 to 11:24, from 11:53 to 12:33, from 13:35 to 14:35, from 14:38 to 15:58, from 16:18 to 16:58\nFriday: Booked at the following times: from 9:32 to 10:12, from 13:09 to 15:19, from 16:12 to 17:52\n\nThe schedule for Dennis Booth's week in their local time is as follows:\nMonday: Booked at the following times: from 9:54 to 12:04, from 13:22 to 15:52, from 16:21 to 16:41\nTuesday: Booked at the following times: from 9:15 to 10:35, from 10:44 to 11:24, from 11:51 to 12:11, from 15:04 to 15:24, from 15:38 to 16:38\nWednesday: Booked at the following times: from 9:49 to 10:59, from 11:00 to 13:00, from 14:01 to 16:31\nThursday: Booked at the following times: from 9:54 to 10:54, from 12:25 to 13:45, from 14:05 to 15:05, from 15:27 to 15:47, from 16:05 to 16:35\nFriday: Booked at the following times: from 9:45 to 11:45, from 11:55 to 13:05, from 13:35 to 15:05\n\nThe schedule for Robert Sutton's week in their local time is as follows:\nMonday: Booked at the following times: from 9:16 to 10:26, from 10:59 to 12:39, from 12:46 to 14:16, from 15:20 to 16:40, from 17:21 to 17:41\nTuesday: Booked at the following times: from 9:40 to 10:20, from 10:58 to 12:48, from 15:38 to 16:38, from 17:08 to 17:38\nWednesday: Booked at the following times: from 10:01 to 11:41, from 11:50 to 12:10, from 12:32 to 13:22, from 14:15 to 15:45, from 16:30 to 17:30\nThursday: Booked at the following times: from 9:06 to 11:26, from 14:02 to 15:22, from 16:00 to 17:30\nFriday: Booked at the following times: from 9:04 to 11:04, from 12:47 to 13:37, from 13:49 to 15:59\n\nThe schedule for Jeffrey Wells's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:37, from 12:37 to 12:41, from 13:31 to 14:32, from 15:42 to 15:55, from 17:05 to 17:12, anytime after 17:52\nTuesday: Booked at the following times: from 9:22 to 10:22, from 11:41 to 12:31, from 13:37 to 14:57, from 15:03 to 17:23\nWednesday: Booked at the following times: from 9:48 to 10:38, from 11:16 to 12:46, from 13:02 to 14:22, from 15:03 to 15:33, from 16:02 to 16:42, from 17:09 to 17:29\nThursday: Booked at the following times: from 9:16 to 10:26, from 13:24 to 14:14, from 14:43 to 17:13\nFriday: Booked at the following times: from 12:07 to 13:37, from 14:44 to 16:44\n\nThe schedule for Emma Hall's week in their local time is as follows:\nMonday: Booked at the following times: from 9:54 to 11:44, from 13:33 to 14:23, from 14:39 to 15:09, from 15:41 to 17:41\nTuesday: Booked at the following times: from 11:45 to 13:15, from 15:22 to 16:42\nWednesday: Booked at the following times: from 10:04 to 10:24, from 10:30 to 12:30, from 14:53 to 15:13, from 15:51 to 17:21\nThursday: Booked at the following times: from 9:35 to 9:55, from 10:14 to 11:04, from 12:05 to 13:15, from 14:00 to 16:20, from 16:56 to 17:46\nFriday: Booked at the following times: from 10:00 to 12:20, from 12:44 to 14:34, from 14:45 to 16:25\n\nIan Price is in a timezone that is 1 hour behind of other participants\nDennis Booth is in a timezone that is 3 hours behind of other participants\nRobert Sutton needs a break for lunch on Tuesday from 12:49 to 13:19\nJeffrey Wells can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nEmma Hall can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ian Price": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 640], [706, 776], [813, 863], [883, 943]], "Tuesday": [[638, 738], [761, 901]], "Wednesday": [[593, 663], [698, 778], [843, 913], [944, 1054]], "Thursday": [[654, 684], [713, 753], [815, 875], [878, 958], [978, 1018]], "Friday": [[572, 612], [789, 919], [972, 1072]]}, "free_org": {"Monday": [[640, 706], [776, 813], [863, 883], [943, 1080]], "Tuesday": [[540, 638], [738, 761], [901, 1080]], "Wednesday": [[540, 593], [663, 698], [778, 843], [913, 944], [1054, 1080]], "Thursday": [[540, 654], [684, 713], [753, 815], [875, 878], [958, 978], [1018, 1080]], "Friday": [[540, 572], [612, 789], [919, 972], [1072, 1080]]}, "constraint": ["timezone", -1]}, "Dennis Booth": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[594, 724], [802, 952], [981, 1001]], "Tuesday": [[555, 635], [644, 684], [711, 731], [904, 924], [938, 998]], "Wednesday": [[589, 659], [660, 780], [841, 991]], "Thursday": [[594, 654], [745, 825], [845, 905], [927, 947], [965, 995]], "Friday": [[585, 705], [715, 785], [815, 905]]}, "free_org": {"Monday": [[540, 594], [724, 802], [952, 981], [1001, 1080]], "Tuesday": [[540, 555], [635, 644], [684, 711], [731, 904], [924, 938], [998, 1080]], "Wednesday": [[540, 589], [659, 660], [780, 841], [991, 1080]], "Thursday": [[540, 594], [654, 745], [825, 845], [905, 927], [947, 965], [995, 1080]], "Friday": [[540, 585], [705, 715], [785, 815], [905, 1080]]}, "constraint": ["timezone", -3]}, "Robert Sutton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[556, 626], [659, 759], [766, 856], [920, 1000], [1041, 1061]], "Tuesday": [[580, 620], [658, 768], [938, 998], [1028, 1058]], "Wednesday": [[601, 701], [710, 730], [752, 802], [855, 945], [990, 1050]], "Thursday": [[546, 686], [842, 922], [960, 1050]], "Friday": [[544, 664], [767, 817], [829, 959]]}, "free_org": {"Monday": [[540, 556], [626, 659], [759, 766], [856, 920], [1000, 1041], [1061, 1080]], "Tuesday": [[540, 580], [620, 658], [768, 938], [998, 1028], [1058, 1080]], "Wednesday": [[540, 601], [701, 710], [730, 752], [802, 855], [945, 990], [1050, 1080]], "Thursday": [[540, 546], [686, 842], [922, 960], [1050, 1080]], "Friday": [[540, 544], [664, 767], [817, 829], [959, 1080]]}, "constraint": ["lunch", ["Tuesday", [769, 799]]]}, "Jeffrey Wells": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[637, 757], [761, 811], [872, 922], [922, 942], [955, 1025], [1032, 1072]], "Tuesday": [[562, 622], [701, 751], [817, 897], [903, 1043]], "Wednesday": [[588, 638], [676, 766], [782, 862], [903, 933], [962, 1002], [1029, 1049]], "Thursday": [[556, 626], [804, 854], [883, 1033]], "Friday": [[727, 817], [884, 1004]]}, "free_org": {"Monday": [[540, 637], [757, 761], [811, 872], [942, 955], [1025, 1032], [1072, 1080]], "Tuesday": [[540, 562], [622, 701], [751, 817], [897, 903], [1043, 1080]], "Wednesday": [[540, 588], [638, 676], [766, 782], [862, 903], [933, 962], [1002, 1029], [1049, 1080]], "Thursday": [[540, 556], [626, 804], [854, 883], [1033, 1080]], "Friday": [[540, 727], [817, 884], [1004, 1080]]}, "constraint": ["conflict", 60]}, "Emma Hall": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[594, 704], [813, 863], [879, 909], [941, 1061]], "Tuesday": [[705, 795], [922, 1002]], "Wednesday": [[604, 624], [630, 750], [893, 913], [951, 1041]], "Thursday": [[575, 595], [614, 664], [725, 795], [840, 980], [1016, 1066]], "Friday": [[600, 740], [764, 874], [885, 985]]}, "free_org": {"Monday": [[540, 594], [704, 813], [863, 879], [909, 941], [1061, 1080]], "Tuesday": [[540, 705], [795, 922], [1002, 1080]], "Wednesday": [[540, 604], [624, 630], [750, 893], [913, 951], [1041, 1080]], "Thursday": [[540, 575], [595, 614], [664, 725], [795, 840], [980, 1016], [1066, 1080]], "Friday": [[540, 600], [740, 764], [874, 885], [985, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 22, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDawn Brown, Brent Campbell, Terry Morris work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Dawn Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:52 to 10:42, from 11:53 to 14:23, from 16:05 to 16:45\nTuesday: Booked at the following times: from 9:07 to 10:37, from 10:50 to 13:00, from 17:03 to 17:53\nWednesday: Booked at the following times: from 10:05 to 11:55, from 12:01 to 14:11\nThursday: Booked at the following times: from 11:17 to 12:47, from 13:25 to 13:55, from 14:11 to 16:11, from 16:30 to 17:40\nFriday: Booked at the following times: from 12:18 to 13:48, from 15:34 to 16:14, from 17:01 to 17:41\n\nThe schedule for Brent Campbell's week in their local time is as follows:\nMonday: Booked at the following times: from 10:06 to 11:46, from 12:05 to 12:35, from 14:49 to 16:19\nTuesday: Booked at the following times: from 9:46 to 11:16, from 11:24 to 12:04, from 12:32 to 14:12, from 15:15 to 15:55\nWednesday: Booked at the following times: from 10:25 to 12:15, from 12:29 to 12:59, from 13:52 to 14:32, from 15:17 to 15:37, from 16:39 to 17:19\nThursday: Booked at the following times: from 9:39 to 11:19, from 13:34 to 15:54, from 16:35 to 17:25\nFriday: Booked at the following times: from 9:25 to 10:45, from 11:01 to 12:11, from 13:28 to 14:18, from 15:53 to 17:03\n\nThe schedule for Terry Morris's week in their local time is as follows:\nMonday: Booked at the following times: from 9:37 to 10:27, from 11:16 to 13:26, from 14:43 to 15:23, from 16:51 to 17:21\nTuesday: Booked at the following times: from 9:22 to 10:02, from 10:17 to 12:37, from 13:34 to 14:24\nWednesday: Booked at the following times: from 9:04 to 10:54, from 11:17 to 12:27, from 12:59 to 13:49, from 14:46 to 16:16\nThursday: Booked at the following times: from 9:25 to 10:55, from 12:19 to 13:49, from 14:43 to 15:13, from 15:55 to 16:55\nFriday: Booked at the following times: from 9:02 to 10:02, from 10:29 to 11:09, from 12:04 to 12:44, from 12:47 to 13:27, from 14:20 to 14:40, from 15:10 to 16:50, from 17:31 to 17:51\n\nDawn Brown requires 5 minutes free before and after the meeting\nBrent Campbell requires 10 minutes free before and after the meeting\nTerry Morris can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Dawn Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[592, 642], [713, 863], [965, 1005]], "Tuesday": [[547, 637], [650, 780], [1023, 1073]], "Wednesday": [[605, 715], [721, 851]], "Thursday": [[677, 767], [805, 835], [851, 971], [990, 1060]], "Friday": [[738, 828], [934, 974], [1021, 1061]]}, "free_org": {"Monday": [[540, 592], [642, 713], [863, 965], [1005, 1080]], "Tuesday": [[540, 547], [637, 650], [780, 1023], [1073, 1080]], "Wednesday": [[540, 605], [715, 721], [851, 1080]], "Thursday": [[540, 677], [767, 805], [835, 851], [971, 990], [1060, 1080]], "Friday": [[540, 738], [828, 934], [974, 1021], [1061, 1080]]}, "constraint": ["buffer", 5]}, "Brent Campbell": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[606, 706], [725, 755], [889, 979]], "Tuesday": [[586, 676], [684, 724], [752, 852], [915, 955]], "Wednesday": [[625, 735], [749, 779], [832, 872], [917, 937], [999, 1039]], "Thursday": [[579, 679], [814, 954], [995, 1045]], "Friday": [[565, 645], [661, 731], [808, 858], [953, 1023]]}, "free_org": {"Monday": [[540, 606], [706, 725], [755, 889], [979, 1080]], "Tuesday": [[540, 586], [676, 684], [724, 752], [852, 915], [955, 1080]], "Wednesday": [[540, 625], [735, 749], [779, 832], [872, 917], [937, 999], [1039, 1080]], "Thursday": [[540, 579], [679, 814], [954, 995], [1045, 1080]], "Friday": [[540, 565], [645, 661], [731, 808], [858, 953], [1023, 1080]]}, "constraint": ["buffer", 10]}, "Terry Morris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[577, 627], [676, 806], [883, 923], [1011, 1041]], "Tuesday": [[562, 602], [617, 757], [814, 864]], "Wednesday": [[544, 654], [677, 747], [779, 829], [886, 976]], "Thursday": [[565, 655], [739, 829], [883, 913], [955, 1015]], "Friday": [[542, 602], [629, 669], [724, 764], [767, 807], [860, 880], [910, 1010], [1051, 1071]]}, "free_org": {"Monday": [[540, 577], [627, 676], [806, 883], [923, 1011], [1041, 1080]], "Tuesday": [[540, 562], [602, 617], [757, 814], [864, 1080]], "Wednesday": [[540, 544], [654, 677], [747, 779], [829, 886], [976, 1080]], "Thursday": [[540, 565], [655, 739], [829, 883], [913, 955], [1015, 1080]], "Friday": [[540, 542], [602, 629], [669, 724], [764, 767], [807, 860], [880, 910], [1010, 1051], [1071, 1080]]}, "constraint": ["conflict", 20]}}, "solution": {"max_duration": 53, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nSara Thompson, Vincent Martinez, Mr. Sean Davis, Renee Williams, Samantha Wu, Beth Parker work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Sara Thompson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:41 to 10:51, from 11:30 to 12:20, from 14:37 to 15:07, from 15:41 to 16:51, from 17:01 to 17:31\nTuesday: Booked at the following times: from 10:13 to 11:53, from 12:13 to 13:53, from 14:52 to 17:02\nWednesday: Booked at the following times: from 9:20 to 9:50, from 10:26 to 11:26, from 12:18 to 12:48, from 13:30 to 13:50, from 13:54 to 14:14, from 14:25 to 15:05, from 15:51 to 16:11\nThursday: Booked at the following times: from 9:07 to 9:47, from 10:25 to 10:45, from 12:14 to 12:44, from 14:22 to 14:52, from 15:48 to 17:58\nFriday: Booked at the following times: from 11:04 to 13:34, from 13:42 to 16:02\n\nThe schedule for Vincent Martinez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:14 to 10:14, from 11:44 to 13:54, from 14:10 to 15:00, from 15:53 to 16:53\nTuesday: Booked at the following times: from 12:12 to 14:02, from 15:50 to 17:40\nWednesday: Free only at the following times: anytime before 9:22, from 9:42 to 10:07, from 13:17 to 13:49, from 14:29 to 15:28, from 15:48 to 16:05, from 16:25 to 16:36, anytime after 17:06\nThursday: Booked at the following times: from 11:37 to 12:47, from 13:21 to 14:41, from 15:19 to 17:29\nFriday: Booked at the following times: from 9:03 to 10:03, from 10:53 to 11:33, from 11:53 to 12:23, from 12:42 to 13:52\n\nThe schedule for Mr. Sean Davis's week in their local time is as follows:\nMonday: Booked at the following times: from 10:19 to 12:39, from 12:40 to 15:00, from 17:38 to 17:58\nTuesday: Booked at the following times: from 10:26 to 12:36, from 12:57 to 13:17, from 14:11 to 16:31\nWednesday: Booked at the following times: from 9:50 to 11:30, from 11:45 to 13:55, from 14:07 to 15:07, from 15:19 to 16:59\nThursday: Booked at the following times: from 10:11 to 12:11, from 13:00 to 14:30, from 15:24 to 17:04\nFriday: Booked at the following times: from 9:57 to 10:37, from 10:42 to 11:52, from 13:57 to 16:27, from 16:30 to 17:50\n\nThe schedule for Renee Williams's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:51, from 10:11 to 10:29, from 12:09 to 12:28, from 12:48 to 13:46, from 14:06 to 14:18, from 15:18 to 15:50, anytime after 16:20\nTuesday: Booked at the following times: from 9:23 to 10:03, from 11:17 to 11:47, from 14:19 to 15:19, from 15:26 to 17:16\nWednesday: Booked at the following times: from 10:13 to 10:33, from 10:57 to 11:27, from 12:32 to 13:02, from 13:12 to 14:12, from 15:25 to 15:55, from 16:00 to 17:00\nThursday: Free only at the following times: anytime before 13:29, from 15:49 to 15:50\nFriday: Free only at the following times: anytime before 9:25, from 9:55 to 10:10, from 10:50 to 11:07, from 13:07 to 14:37, from 16:17 to 17:29, anytime after 17:59\n\nThe schedule for Samantha Wu's week in their local time is as follows:\nMonday: Booked at the following times: from 10:06 to 11:06, from 11:16 to 12:36, from 15:06 to 17:36\nTuesday: Booked at the following times: from 10:11 to 11:01, from 11:07 to 12:17, from 13:07 to 13:47, from 15:26 to 16:26\nWednesday: Booked at the following times: from 11:49 to 13:09, from 13:28 to 13:48, from 14:21 to 15:21, from 16:21 to 17:31\nThursday: Booked at the following times: from 9:26 to 10:06, from 10:18 to 12:18, from 12:32 to 14:52, from 16:20 to 17:00\nFriday: Booked at the following times: from 9:52 to 11:42, from 12:48 to 15:08\n\nThe schedule for Beth Parker's week in their local time is as follows:\nMonday: Booked at the following times: from 10:13 to 11:43, from 12:43 to 13:13, from 13:24 to 14:44, from 15:05 to 17:15\nTuesday: Booked at the following times: from 11:31 to 13:51, from 15:13 to 16:33\nWednesday: Booked at the following times: from 9:50 to 10:50, from 12:18 to 13:58, from 14:33 to 16:53\nThursday: Booked at the following times: from 9:44 to 11:24, from 13:53 to 14:23, from 14:45 to 16:25\nFriday: Booked at the following times: from 11:15 to 12:45, from 13:03 to 14:13, from 14:29 to 14:59, from 16:19 to 17:39\n\nSara Thompson is in a timezone that is 2 hours ahead of other participants\nRenee Williams requires 10 minutes free before and after the meeting\nSamantha Wu requires 15 minutes free before and after the meeting\nBeth Parker is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Sara Thompson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[581, 651], [690, 740], [877, 907], [941, 1011], [1021, 1051]], "Tuesday": [[613, 713], [733, 833], [892, 1022]], "Wednesday": [[560, 590], [626, 686], [738, 768], [810, 830], [834, 854], [865, 905], [951, 971]], "Thursday": [[547, 587], [625, 645], [734, 764], [862, 892], [948, 1078]], "Friday": [[664, 814], [822, 962]]}, "free_org": {"Monday": [[540, 581], [651, 690], [740, 877], [907, 941], [1011, 1021], [1051, 1080]], "Tuesday": [[540, 613], [713, 733], [833, 892], [1022, 1080]], "Wednesday": [[540, 560], [590, 626], [686, 738], [768, 810], [830, 834], [854, 865], [905, 951], [971, 1080]], "Thursday": [[540, 547], [587, 625], [645, 734], [764, 862], [892, 948], [1078, 1080]], "Friday": [[540, 664], [814, 822], [962, 1080]]}, "constraint": ["timezone", 2]}, "Vincent Martinez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[554, 614], [704, 834], [850, 900], [953, 1013]], "Tuesday": [[732, 842], [950, 1060]], "Wednesday": [[562, 582], [607, 757], [757, 797], [829, 869], [928, 948], [965, 985], [996, 1026]], "Thursday": [[697, 767], [801, 881], [919, 1049]], "Friday": [[543, 603], [653, 693], [713, 743], [762, 832]]}, "free_org": {"Monday": [[540, 554], [614, 704], [834, 850], [900, 953], [1013, 1080]], "Tuesday": [[540, 732], [842, 950], [1060, 1080]], "Wednesday": [[540, 562], [582, 607], [797, 829], [869, 928], [948, 965], [985, 996], [1026, 1080]], "Thursday": [[540, 697], [767, 801], [881, 919], [1049, 1080]], "Friday": [[540, 543], [603, 653], [693, 713], [743, 762], [832, 1080]]}, "constraint": ["none", null]}, "Mr. Sean Davis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[619, 759], [760, 900], [1058, 1078]], "Tuesday": [[626, 756], [777, 797], [851, 991]], "Wednesday": [[590, 690], [705, 835], [847, 907], [919, 1019]], "Thursday": [[611, 731], [780, 870], [924, 1024]], "Friday": [[597, 637], [642, 712], [837, 987], [990, 1070]]}, "free_org": {"Monday": [[540, 619], [759, 760], [900, 1058], [1078, 1080]], "Tuesday": [[540, 626], [756, 777], [797, 851], [991, 1080]], "Wednesday": [[540, 590], [690, 705], [835, 847], [907, 919], [1019, 1080]], "Thursday": [[540, 611], [731, 780], [870, 924], [1024, 1080]], "Friday": [[540, 597], [637, 642], [712, 837], [987, 990], [1070, 1080]]}, "constraint": ["none", null]}, "Renee Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[591, 611], [629, 669], [669, 729], [748, 768], [826, 846], [858, 918], [950, 980]], "Tuesday": [[563, 603], [677, 707], [859, 919], [926, 1036]], "Wednesday": [[613, 633], [657, 687], [752, 782], [792, 852], [925, 955], [960, 1020]], "Thursday": [[809, 949], [950, 1080]], "Friday": [[565, 595], [610, 650], [667, 787], [877, 927], [927, 977], [1049, 1079]]}, "free_org": {"Monday": [[540, 591], [611, 629], [729, 748], [768, 826], [846, 858], [918, 950], [980, 1080]], "Tuesday": [[540, 563], [603, 677], [707, 859], [919, 926], [1036, 1080]], "Wednesday": [[540, 613], [633, 657], [687, 752], [782, 792], [852, 925], [955, 960], [1020, 1080]], "Thursday": [[540, 809], [949, 950]], "Friday": [[540, 565], [595, 610], [650, 667], [787, 877], [977, 1049], [1079, 1080]]}, "constraint": ["buffer", 10]}, "Samantha Wu": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[606, 666], [676, 756], [906, 1056]], "Tuesday": [[611, 661], [667, 737], [787, 827], [926, 986]], "Wednesday": [[709, 789], [808, 828], [861, 921], [981, 1051]], "Thursday": [[566, 606], [618, 738], [752, 892], [980, 1020]], "Friday": [[592, 702], [768, 908]]}, "free_org": {"Monday": [[540, 606], [666, 676], [756, 906], [1056, 1080]], "Tuesday": [[540, 611], [661, 667], [737, 787], [827, 926], [986, 1080]], "Wednesday": [[540, 709], [789, 808], [828, 861], [921, 981], [1051, 1080]], "Thursday": [[540, 566], [606, 618], [738, 752], [892, 980], [1020, 1080]], "Friday": [[540, 592], [702, 768], [908, 1080]]}, "constraint": ["buffer", 15]}, "Beth Parker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[613, 703], [763, 793], [804, 884], [905, 1035]], "Tuesday": [[691, 831], [913, 993]], "Wednesday": [[590, 650], [738, 838], [873, 1013]], "Thursday": [[584, 684], [833, 863], [885, 985]], "Friday": [[675, 765], [783, 853], [869, 899], [979, 1059]]}, "free_org": {"Monday": [[540, 613], [703, 763], [793, 804], [884, 905], [1035, 1080]], "Tuesday": [[540, 691], [831, 913], [993, 1080]], "Wednesday": [[540, 590], [650, 738], [838, 873], [1013, 1080]], "Thursday": [[540, 584], [684, 833], [863, 885], [985, 1080]], "Friday": [[540, 675], [765, 783], [853, 869], [899, 979], [1059, 1080]]}, "constraint": ["timezone", -1]}}, "solution": {"max_duration": 0, "count": 0}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nCarl Walker Jr., Tara Castillo, Veronica Williams, Jacob Ortiz work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Carl Walker Jr.'s week in their local time is as follows:\nMonday: Booked at the following times: from 9:18 to 10:08, from 10:10 to 11:10, from 11:53 to 13:43, from 14:13 to 15:53, from 15:58 to 17:28\nTuesday: Booked at the following times: from 9:02 to 9:52, from 10:23 to 11:33, from 11:51 to 13:41, from 14:24 to 14:54, from 16:57 to 17:37\nWednesday: Booked at the following times: from 10:50 to 13:10, from 15:11 to 17:11\nThursday: Booked at the following times: from 13:09 to 15:19, from 15:23 to 16:53\nFriday: Booked at the following times: from 9:03 to 11:33, from 15:54 to 17:44\n\nThe schedule for Tara Castillo's week in their local time is as follows:\nMonday: Booked at the following times: from 10:01 to 11:31, from 12:31 to 12:51, from 13:46 to 14:06, from 14:13 to 15:23, from 15:24 to 17:24\nTuesday: Booked at the following times: from 9:38 to 10:08, from 10:50 to 11:20, from 11:26 to 12:26, from 13:06 to 14:26, from 14:32 to 15:12, from 15:57 to 17:07\nWednesday: Booked at the following times: from 9:35 to 11:35, from 12:03 to 14:23, from 14:55 to 17:05\nThursday: Booked at the following times: from 9:21 to 11:11, from 13:23 to 14:33, from 14:54 to 15:44, from 15:46 to 16:06, from 16:10 to 16:50\nFriday: Booked at the following times: from 9:20 to 11:20, from 12:00 to 14:00, from 14:19 to 14:59, from 15:26 to 17:06\n\nThe schedule for Veronica Williams's week in their local time is as follows:\nMonday: Booked at the following times: from 11:48 to 12:48, from 12:51 to 15:21, from 16:41 to 17:41\nTuesday: Free only at the following times: anytime before 9:45, from 12:05 to 13:41, from 14:21 to 14:32, from 15:32 to 15:36, from 16:36 to 16:42, from 17:12 to 17:14, anytime after 17:54\nWednesday: Booked at the following times: from 11:38 to 13:08, from 13:18 to 14:48, from 16:00 to 17:30\nThursday: Booked at the following times: from 10:54 to 11:14, from 11:55 to 12:15, from 12:19 to 14:49, from 15:01 to 15:41, from 15:47 to 16:37\nFriday: Booked at the following times: from 11:44 to 12:24, from 13:19 to 15:19, from 15:26 to 16:56\n\nThe schedule for Jacob Ortiz's week in their local time is as follows:\nMonday: Booked at the following times: from 9:01 to 10:21, from 11:32 to 14:02, from 17:14 to 17:54\nTuesday: Free only at the following times: from 11:00 to 12:58, from 14:48 to 15:31, from 15:51 to 16:02, anytime after 17:12\nWednesday: Booked at the following times: from 11:31 to 12:01, from 12:53 to 14:43, from 15:22 to 17:52\nThursday: Booked at the following times: from 9:53 to 11:43, from 11:51 to 12:21, from 13:00 to 14:00, from 14:28 to 14:48\nFriday: Booked at the following times: from 10:08 to 10:48, from 11:18 to 12:48, from 12:49 to 13:19, from 13:22 to 13:42, from 14:43 to 16:13, from 17:30 to 17:50\n\nCarl Walker Jr. can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nTara Castillo needs a break for lunch on Monday from 11:54 to 12:24\nVeronica Williams needs a break for lunch on Tuesday from 13:00 to 13:30\nJacob Ortiz can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Carl Walker Jr.": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[558, 608], [610, 670], [713, 823], [853, 953], [958, 1048]], "Tuesday": [[542, 592], [623, 693], [711, 821], [864, 894], [1017, 1057]], "Wednesday": [[650, 790], [911, 1031]], "Thursday": [[789, 919], [923, 1013]], "Friday": [[543, 693], [954, 1064]]}, "free_org": {"Monday": [[540, 558], [608, 610], [670, 713], [823, 853], [953, 958], [1048, 1080]], "Tuesday": [[540, 542], [592, 623], [693, 711], [821, 864], [894, 1017], [1057, 1080]], "Wednesday": [[540, 650], [790, 911], [1031, 1080]], "Thursday": [[540, 789], [919, 923], [1013, 1080]], "Friday": [[540, 543], [693, 954], [1064, 1080]]}, "constraint": ["conflict", 60]}, "Tara Castillo": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 691], [751, 771], [826, 846], [853, 923], [924, 1044]], "Tuesday": [[578, 608], [650, 680], [686, 746], [786, 866], [872, 912], [957, 1027]], "Wednesday": [[575, 695], [723, 863], [895, 1025]], "Thursday": [[561, 671], [803, 873], [894, 944], [946, 966], [970, 1010]], "Friday": [[560, 680], [720, 840], [859, 899], [926, 1026]]}, "free_org": {"Monday": [[540, 601], [691, 751], [771, 826], [846, 853], [923, 924], [1044, 1080]], "Tuesday": [[540, 578], [608, 650], [680, 686], [746, 786], [866, 872], [912, 957], [1027, 1080]], "Wednesday": [[540, 575], [695, 723], [863, 895], [1025, 1080]], "Thursday": [[540, 561], [671, 803], [873, 894], [944, 946], [966, 970], [1010, 1080]], "Friday": [[540, 560], [680, 720], [840, 859], [899, 926], [1026, 1080]]}, "constraint": ["lunch", ["Monday", [714, 744]]]}, "Veronica Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[708, 768], [771, 921], [1001, 1061]], "Tuesday": [[585, 615], [615, 725], [821, 861], [872, 932], [936, 996], [1002, 1032], [1034, 1074]], "Wednesday": [[698, 788], [798, 888], [960, 1050]], "Thursday": [[654, 674], [715, 735], [739, 889], [901, 941], [947, 997]], "Friday": [[704, 744], [799, 919], [926, 1016]]}, "free_org": {"Monday": [[540, 708], [768, 771], [921, 1001], [1061, 1080]], "Tuesday": [[540, 585], [725, 821], [861, 872], [932, 936], [996, 1002], [1032, 1034], [1074, 1080]], "Wednesday": [[540, 698], [788, 798], [888, 960], [1050, 1080]], "Thursday": [[540, 654], [674, 715], [735, 739], [889, 901], [941, 947], [997, 1080]], "Friday": [[540, 704], [744, 799], [919, 926], [1016, 1080]]}, "constraint": ["lunch", ["Tuesday", [780, 810]]]}, "Jacob Ortiz": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[541, 621], [692, 842], [1034, 1074]], "Tuesday": [[540, 660], [778, 888], [931, 951], [962, 1032]], "Wednesday": [[691, 721], [773, 883], [922, 1072]], "Thursday": [[593, 703], [711, 741], [780, 840], [868, 888]], "Friday": [[608, 648], [678, 768], [769, 799], [802, 822], [883, 973], [1050, 1070]]}, "free_org": {"Monday": [[540, 541], [621, 692], [842, 1034], [1074, 1080]], "Tuesday": [[660, 778], [888, 931], [951, 962], [1032, 1080]], "Wednesday": [[540, 691], [721, 773], [883, 922], [1072, 1080]], "Thursday": [[540, 593], [703, 711], [741, 780], [840, 868], [888, 1080]], "Friday": [[540, 608], [648, 678], [768, 769], [799, 802], [822, 883], [973, 1050], [1070, 1080]]}, "constraint": ["conflict", 60]}}, "solution": {"max_duration": 67, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nKathleen Hensley, Victoria Jimenez, Devon Lane work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Kathleen Hensley's week in their local time is as follows:\nMonday: Booked at the following times: from 10:29 to 12:59, from 13:17 to 15:47, from 16:28 to 17:38\nTuesday: Booked at the following times: from 9:05 to 9:25, from 10:25 to 11:35, from 11:37 to 12:37, from 13:54 to 15:34\nWednesday: Booked at the following times: from 10:02 to 11:52, from 12:59 to 15:09, from 15:37 to 16:17\nThursday: Booked at the following times: from 10:31 to 11:01, from 11:16 to 11:56, from 12:52 to 14:52, from 14:54 to 15:14, from 15:28 to 16:58\nFriday: Free only at the following times: anytime before 9:13, from 9:33 to 9:50, from 11:30 to 12:55, from 13:35 to 13:55, from 14:15 to 14:39, from 15:19 to 15:51, anytime after 17:41\n\nThe schedule for Victoria Jimenez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:56 to 10:46, from 11:29 to 11:59, from 12:12 to 14:02, from 14:21 to 14:51, from 15:46 to 16:06, from 16:58 to 17:18, from 17:31 to 17:51\nTuesday: Booked at the following times: from 9:51 to 11:01, from 11:54 to 12:54, from 14:15 to 15:35, from 15:41 to 16:21, from 16:24 to 16:44, from 16:55 to 17:45\nWednesday: Booked at the following times: from 9:01 to 10:21, from 13:51 to 14:21, from 15:05 to 15:35, from 16:52 to 17:32\nThursday: Free only at the following times: anytime before 9:46, from 12:16 to 12:57, from 15:27 to 16:02, anytime after 16:22\nFriday: Booked at the following times: from 11:03 to 13:13, from 13:14 to 15:34, from 16:06 to 17:46\n\nThe schedule for Devon Lane's week in their local time is as follows:\nMonday: Booked at the following times: from 11:40 to 12:00, from 12:03 to 12:53, from 12:58 to 13:48, from 14:34 to 16:54\nTuesday: Booked at the following times: from 9:39 to 9:59, from 10:30 to 11:30, from 11:46 to 12:16, from 12:23 to 13:23, from 13:50 to 15:10, from 15:59 to 17:29, from 17:31 to 17:51\nWednesday: Booked at the following times: from 10:01 to 12:21, from 12:36 to 14:26, from 15:20 to 17:40\nThursday: Booked at the following times: from 11:00 to 11:30, from 13:10 to 14:10, from 14:45 to 16:05, from 16:31 to 17:11\nFriday: Booked at the following times: from 9:42 to 10:22, from 12:08 to 13:08, from 13:34 to 13:54, from 14:25 to 15:05, from 15:10 to 16:30\n\nKathleen Hensley requires 15 minutes free before and after the meeting\nDevon Lane can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Kathleen Hensley": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[629, 779], [797, 947], [988, 1058]], "Tuesday": [[545, 565], [625, 695], [697, 757], [834, 934]], "Wednesday": [[602, 712], [779, 909], [937, 977]], "Thursday": [[631, 661], [676, 716], [772, 892], [894, 914], [928, 1018]], "Friday": [[553, 573], [590, 690], [775, 815], [835, 855], [879, 919], [951, 1031], [1031, 1061]]}, "free_org": {"Monday": [[540, 629], [779, 797], [947, 988], [1058, 1080]], "Tuesday": [[540, 545], [565, 625], [695, 697], [757, 834], [934, 1080]], "Wednesday": [[540, 602], [712, 779], [909, 937], [977, 1080]], "Thursday": [[540, 631], [661, 676], [716, 772], [892, 894], [914, 928], [1018, 1080]], "Friday": [[540, 553], [573, 590], [690, 775], [815, 835], [855, 879], [919, 951], [1061, 1080]]}, "constraint": ["buffer", 15]}, "Victoria Jimenez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[596, 646], [689, 719], [732, 842], [861, 891], [946, 966], [1018, 1038], [1051, 1071]], "Tuesday": [[591, 661], [714, 774], [855, 935], [941, 981], [984, 1004], [1015, 1065]], "Wednesday": [[541, 621], [831, 861], [905, 935], [1012, 1052]], "Thursday": [[586, 736], [777, 797], [797, 927], [962, 982]], "Friday": [[663, 793], [794, 934], [966, 1066]]}, "free_org": {"Monday": [[540, 596], [646, 689], [719, 732], [842, 861], [891, 946], [966, 1018], [1038, 1051], [1071, 1080]], "Tuesday": [[540, 591], [661, 714], [774, 855], [935, 941], [981, 984], [1004, 1015], [1065, 1080]], "Wednesday": [[540, 541], [621, 831], [861, 905], [935, 1012], [1052, 1080]], "Thursday": [[540, 586], [736, 777], [927, 962], [982, 1080]], "Friday": [[540, 663], [793, 794], [934, 966], [1066, 1080]]}, "constraint": ["none", null]}, "Devon Lane": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[700, 720], [723, 773], [778, 828], [874, 1014]], "Tuesday": [[579, 599], [630, 690], [706, 736], [743, 803], [830, 910], [959, 1049], [1051, 1071]], "Wednesday": [[601, 741], [756, 866], [920, 1060]], "Thursday": [[660, 690], [790, 850], [885, 965], [991, 1031]], "Friday": [[582, 622], [728, 788], [814, 834], [865, 905], [910, 990]]}, "free_org": {"Monday": [[540, 700], [720, 723], [773, 778], [828, 874], [1014, 1080]], "Tuesday": [[540, 579], [599, 630], [690, 706], [736, 743], [803, 830], [910, 959], [1049, 1051], [1071, 1080]], "Wednesday": [[540, 601], [741, 756], [866, 920], [1060, 1080]], "Thursday": [[540, 660], [690, 790], [850, 885], [965, 991], [1031, 1080]], "Friday": [[540, 582], [622, 728], [788, 814], [834, 865], [905, 910], [990, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 41, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nPhilip Small, Rickey Barnes, Timothy Garcia work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Philip Small's week in their local time is as follows:\nMonday: Booked at the following times: from 10:52 to 13:12, from 13:26 to 13:46, from 14:43 to 15:03, from 15:30 to 17:20\nTuesday: Booked at the following times: from 12:19 to 14:09, from 14:10 to 15:40, from 16:39 to 17:09, from 17:18 to 17:38\nWednesday: Booked at the following times: from 11:05 to 11:25, from 12:13 to 13:13, from 14:06 to 14:36, from 14:38 to 16:28\nThursday: Booked at the following times: from 9:09 to 10:59, from 11:05 to 12:05, from 12:27 to 12:47, from 14:19 to 14:59, from 15:30 to 16:00, from 16:41 to 17:51\nFriday: Booked at the following times: from 9:12 to 10:12, from 11:05 to 11:25, from 11:53 to 12:43, from 13:02 to 13:52, from 14:41 to 16:01, from 16:50 to 17:30\n\nThe schedule for Rickey Barnes's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 10:24, from 11:04 to 11:44, from 13:53 to 15:43, from 16:23 to 16:43, from 16:57 to 17:37\nTuesday: Booked at the following times: from 10:03 to 10:23, from 10:53 to 11:23, from 11:44 to 12:34, from 12:48 to 13:18, from 13:22 to 14:22, from 14:30 to 15:00, from 15:07 to 15:37, from 15:51 to 16:11, from 16:26 to 17:26\nWednesday: Booked at the following times: from 9:19 to 9:49, from 11:55 to 12:45, from 13:03 to 14:43, from 16:04 to 17:34\nThursday: Booked at the following times: from 9:09 to 10:59, from 12:06 to 13:26, from 15:00 to 16:00\nFriday: Booked at the following times: from 9:25 to 10:25, from 10:54 to 11:24, from 13:47 to 15:17, from 16:28 to 17:38\n\nThe schedule for Timothy Garcia's week in their local time is as follows:\nMonday: Booked at the following times: from 11:20 to 11:50, from 12:35 to 12:55, from 13:10 to 15:20, from 16:08 to 16:38, from 17:13 to 17:43\nTuesday: Booked at the following times: from 10:57 to 12:37, from 13:19 to 14:59, from 15:19 to 15:59, from 16:11 to 17:51\nWednesday: Booked at the following times: from 11:15 to 12:15, from 12:19 to 14:29, from 15:31 to 16:31\nThursday: Booked at the following times: from 10:28 to 12:58, from 13:39 to 15:09\nFriday: Booked at the following times: from 9:59 to 11:19, from 12:12 to 12:52, from 13:37 to 14:17, from 14:29 to 15:29\n\nRickey Barnes needs a break for lunch on Thursday from 11:05 to 11:35\nTimothy Garcia needs a break for lunch on Monday from 11:56 to 12:26\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Philip Small": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[652, 792], [806, 826], [883, 903], [930, 1040]], "Tuesday": [[739, 849], [850, 940], [999, 1029], [1038, 1058]], "Wednesday": [[665, 685], [733, 793], [846, 876], [878, 988]], "Thursday": [[549, 659], [665, 725], [747, 767], [859, 899], [930, 960], [1001, 1071]], "Friday": [[552, 612], [665, 685], [713, 763], [782, 832], [881, 961], [1010, 1050]]}, "free_org": {"Monday": [[540, 652], [792, 806], [826, 883], [903, 930], [1040, 1080]], "Tuesday": [[540, 739], [849, 850], [940, 999], [1029, 1038], [1058, 1080]], "Wednesday": [[540, 665], [685, 733], [793, 846], [876, 878], [988, 1080]], "Thursday": [[540, 549], [659, 665], [725, 747], [767, 859], [899, 930], [960, 1001], [1071, 1080]], "Friday": [[540, 552], [612, 665], [685, 713], [763, 782], [832, 881], [961, 1010], [1050, 1080]]}, "constraint": ["none", null]}, "Rickey Barnes": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 624], [664, 704], [833, 943], [983, 1003], [1017, 1057]], "Tuesday": [[603, 623], [653, 683], [704, 754], [768, 798], [802, 862], [870, 900], [907, 937], [951, 971], [986, 1046]], "Wednesday": [[559, 589], [715, 765], [783, 883], [964, 1054]], "Thursday": [[549, 659], [726, 806], [900, 960]], "Friday": [[565, 625], [654, 684], [827, 917], [988, 1058]]}, "free_org": {"Monday": [[540, 574], [624, 664], [704, 833], [943, 983], [1003, 1017], [1057, 1080]], "Tuesday": [[540, 603], [623, 653], [683, 704], [754, 768], [798, 802], [862, 870], [900, 907], [937, 951], [971, 986], [1046, 1080]], "Wednesday": [[540, 559], [589, 715], [765, 783], [883, 964], [1054, 1080]], "Thursday": [[540, 549], [659, 726], [806, 900], [960, 1080]], "Friday": [[540, 565], [625, 654], [684, 827], [917, 988], [1058, 1080]]}, "constraint": ["lunch", ["Thursday", [665, 695]]]}, "Timothy Garcia": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[680, 710], [755, 775], [790, 920], [968, 998], [1033, 1063]], "Tuesday": [[657, 757], [799, 899], [919, 959], [971, 1071]], "Wednesday": [[675, 735], [739, 869], [931, 991]], "Thursday": [[628, 778], [819, 909]], "Friday": [[599, 679], [732, 772], [817, 857], [869, 929]]}, "free_org": {"Monday": [[540, 680], [710, 755], [775, 790], [920, 968], [998, 1033], [1063, 1080]], "Tuesday": [[540, 657], [757, 799], [899, 919], [959, 971], [1071, 1080]], "Wednesday": [[540, 675], [735, 739], [869, 931], [991, 1080]], "Thursday": [[540, 628], [778, 819], [909, 1080]], "Friday": [[540, 599], [679, 732], [772, 817], [857, 869], [929, 1080]]}, "constraint": ["lunch", ["Monday", [716, 746]]]}}, "solution": {"max_duration": 76, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJerry Weiss, Amy Lowe, Sarah Thornton, Andre Patterson, Mrs. Julia Ware work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Jerry Weiss's week in their local time is as follows:\nMonday: Booked at the following times: from 11:55 to 14:25, from 14:29 to 16:39\nTuesday: Booked at the following times: from 9:26 to 11:46, from 12:53 to 13:43, from 13:53 to 14:13, from 14:52 to 15:52, from 15:54 to 17:24\nWednesday: Booked at the following times: from 10:04 to 11:14, from 13:14 to 14:34, from 16:25 to 17:45\nThursday: Booked at the following times: from 10:12 to 11:42, from 11:47 to 12:57, from 13:41 to 15:51\nFriday: Booked at the following times: from 9:42 to 10:02, from 10:32 to 11:42, from 12:04 to 12:44, from 12:54 to 13:14, from 13:43 to 15:23, from 16:39 to 17:29\n\nThe schedule for Amy Lowe's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 11:39, from 12:07 to 13:07, from 14:29 to 14:49\nTuesday: Booked at the following times: from 9:41 to 12:01, from 12:09 to 12:49, from 13:29 to 14:39, from 15:11 to 17:41\nWednesday: Booked at the following times: from 9:30 to 10:10, from 13:33 to 14:43, from 15:14 to 16:54\nThursday: Booked at the following times: from 9:54 to 11:24, from 14:25 to 16:45\nFriday: Booked at the following times: from 11:36 to 12:06, from 13:07 to 14:47, from 15:00 to 17:00\n\nThe schedule for Sarah Thornton's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 10:44, from 12:49 to 14:49\nTuesday: Booked at the following times: from 9:24 to 10:34, from 10:52 to 13:02, from 14:06 to 15:36, from 16:09 to 17:09\nWednesday: Booked at the following times: from 12:20 to 14:30, from 14:47 to 17:17\nThursday: Booked at the following times: from 9:26 to 11:26, from 11:30 to 12:30, from 12:39 to 13:39, from 16:20 to 16:50\nFriday: Booked at the following times: from 11:20 to 12:40, from 13:54 to 15:54, from 16:58 to 17:58\n\nThe schedule for Andre Patterson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:46 to 12:06, from 12:22 to 13:42, from 13:43 to 14:53\nTuesday: Booked at the following times: from 9:02 to 9:42, from 11:29 to 12:19, from 13:21 to 15:01, from 15:05 to 16:15\nWednesday: Booked at the following times: from 10:15 to 11:35, from 12:39 to 13:39, from 16:26 to 17:46\nThursday: Booked at the following times: from 10:04 to 10:34, from 11:43 to 12:23, from 12:30 to 13:00, from 13:40 to 15:00, from 16:38 to 17:48\nFriday: Booked at the following times: from 10:02 to 10:52, from 10:56 to 11:16, from 11:23 to 11:43, from 12:57 to 13:17, from 13:33 to 14:23, from 14:48 to 15:38, from 16:17 to 16:37, from 16:44 to 17:54\n\nThe schedule for Mrs. Julia Ware's week in their local time is as follows:\nMonday: Booked at the following times: from 10:33 to 11:53, from 13:56 to 15:56, from 16:24 to 17:44\nTuesday: Booked at the following times: from 9:31 to 10:31, from 10:38 to 11:08, from 11:18 to 12:28, from 12:34 to 13:04, from 13:42 to 14:02, from 14:28 to 16:48\nWednesday: Booked at the following times: from 9:31 to 10:31, from 10:37 to 11:27, from 12:26 to 13:16, from 13:46 to 14:56, from 16:31 to 17:21\nThursday: Booked at the following times: from 9:15 to 10:45, from 12:45 to 15:05, from 15:11 to 15:51\nFriday: Booked at the following times: from 10:24 to 11:04, from 12:28 to 12:48, from 13:30 to 14:50, from 15:50 to 16:30\n\nJerry Weiss needs a break for lunch on Tuesday from 12:14 to 12:44\nAmy Lowe needs a break for lunch on Friday from 11:02 to 11:32\nSarah Thornton needs a break for lunch on Monday from 11:49 to 12:19\nAndre Patterson can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Jerry Weiss": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[715, 865], [869, 999]], "Tuesday": [[566, 706], [773, 823], [833, 853], [892, 952], [954, 1044]], "Wednesday": [[604, 674], [794, 874], [985, 1065]], "Thursday": [[612, 702], [707, 777], [821, 951]], "Friday": [[582, 602], [632, 702], [724, 764], [774, 794], [823, 923], [999, 1049]]}, "free_org": {"Monday": [[540, 715], [865, 869], [999, 1080]], "Tuesday": [[540, 566], [706, 773], [823, 833], [853, 892], [952, 954], [1044, 1080]], "Wednesday": [[540, 604], [674, 794], [874, 985], [1065, 1080]], "Thursday": [[540, 612], [702, 707], [777, 821], [951, 1080]], "Friday": [[540, 582], [602, 632], [702, 724], [764, 774], [794, 823], [923, 999], [1049, 1080]]}, "constraint": ["lunch", ["Tuesday", [734, 764]]]}, "Amy Lowe": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 699], [727, 787], [869, 889]], "Tuesday": [[581, 721], [729, 769], [809, 879], [911, 1061]], "Wednesday": [[570, 610], [813, 883], [914, 1014]], "Thursday": [[594, 684], [865, 1005]], "Friday": [[696, 726], [787, 887], [900, 1020]]}, "free_org": {"Monday": [[540, 559], [699, 727], [787, 869], [889, 1080]], "Tuesday": [[540, 581], [721, 729], [769, 809], [879, 911], [1061, 1080]], "Wednesday": [[540, 570], [610, 813], [883, 914], [1014, 1080]], "Thursday": [[540, 594], [684, 865], [1005, 1080]], "Friday": [[540, 696], [726, 787], [887, 900], [1020, 1080]]}, "constraint": ["lunch", ["Friday", [662, 692]]]}, "Sarah Thornton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 644], [769, 889]], "Tuesday": [[564, 634], [652, 782], [846, 936], [969, 1029]], "Wednesday": [[740, 870], [887, 1037]], "Thursday": [[566, 686], [690, 750], [759, 819], [980, 1010]], "Friday": [[680, 760], [834, 954], [1018, 1078]]}, "free_org": {"Monday": [[540, 574], [644, 769], [889, 1080]], "Tuesday": [[540, 564], [634, 652], [782, 846], [936, 969], [1029, 1080]], "Wednesday": [[540, 740], [870, 887], [1037, 1080]], "Thursday": [[540, 566], [686, 690], [750, 759], [819, 980], [1010, 1080]], "Friday": [[540, 680], [760, 834], [954, 1018], [1078, 1080]]}, "constraint": ["lunch", ["Monday", [709, 739]]]}, "Andre Patterson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[646, 726], [742, 822], [823, 893]], "Tuesday": [[542, 582], [689, 739], [801, 901], [905, 975]], "Wednesday": [[615, 695], [759, 819], [986, 1066]], "Thursday": [[604, 634], [703, 743], [750, 780], [820, 900], [998, 1068]], "Friday": [[602, 652], [656, 676], [683, 703], [777, 797], [813, 863], [888, 938], [977, 997], [1004, 1074]]}, "free_org": {"Monday": [[540, 646], [726, 742], [822, 823], [893, 1080]], "Tuesday": [[540, 542], [582, 689], [739, 801], [901, 905], [975, 1080]], "Wednesday": [[540, 615], [695, 759], [819, 986], [1066, 1080]], "Thursday": [[540, 604], [634, 703], [743, 750], [780, 820], [900, 998], [1068, 1080]], "Friday": [[540, 602], [652, 656], [676, 683], [703, 777], [797, 813], [863, 888], [938, 977], [997, 1004], [1074, 1080]]}, "constraint": ["conflict", 20]}, "Mrs. Julia Ware": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[633, 713], [836, 956], [984, 1064]], "Tuesday": [[571, 631], [638, 668], [678, 748], [754, 784], [822, 842], [868, 1008]], "Wednesday": [[571, 631], [637, 687], [746, 796], [826, 896], [991, 1041]], "Thursday": [[555, 645], [765, 905], [911, 951]], "Friday": [[624, 664], [748, 768], [810, 890], [950, 990]]}, "free_org": {"Monday": [[540, 633], [713, 836], [956, 984], [1064, 1080]], "Tuesday": [[540, 571], [631, 638], [668, 678], [748, 754], [784, 822], [842, 868], [1008, 1080]], "Wednesday": [[540, 571], [631, 637], [687, 746], [796, 826], [896, 991], [1041, 1080]], "Thursday": [[540, 555], [645, 765], [905, 911], [951, 1080]], "Friday": [[540, 624], [664, 748], [768, 810], [890, 950], [990, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 45, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDamon Lloyd, Justin Key, Jennifer Simon work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Damon Lloyd's week in their local time is as follows:\nMonday: Booked at the following times: from 9:06 to 11:26, from 11:56 to 12:36\nTuesday: Booked at the following times: from 9:34 to 10:24, from 10:32 to 12:02, from 12:14 to 12:54, from 13:11 to 13:51, from 14:52 to 16:02\nWednesday: Booked at the following times: from 9:06 to 10:46, from 12:18 to 12:48, from 12:59 to 13:59, from 14:28 to 15:08\nThursday: Booked at the following times: from 10:32 to 12:52, from 15:32 to 17:32\nFriday: Booked at the following times: from 9:34 to 10:34, from 10:44 to 11:44, from 12:07 to 13:17, from 14:25 to 16:35\n\nThe schedule for Justin Key's week in their local time is as follows:\nMonday: Booked at the following times: from 10:38 to 12:18, from 14:38 to 14:58, from 15:23 to 17:13\nTuesday: Free only at the following times: anytime before 9:22, from 11:42 to 15:40\nWednesday: Booked at the following times: from 9:17 to 10:27, from 11:15 to 12:05, from 12:55 to 14:15, from 14:43 to 15:13, from 16:19 to 16:49\nThursday: Booked at the following times: from 10:52 to 12:02, from 13:50 to 14:30, from 14:38 to 15:08, from 15:43 to 16:43\nFriday: Booked at the following times: from 9:20 to 11:40, from 12:00 to 12:50, from 14:19 to 15:09, from 16:28 to 17:38\n\nThe schedule for Jennifer Simon's week in their local time is as follows:\nMonday: Booked at the following times: from 10:30 to 12:20, from 14:05 to 14:25, from 15:55 to 17:05\nTuesday: Booked at the following times: from 10:11 to 10:41, from 10:59 to 12:59, from 13:12 to 15:22, from 15:43 to 16:13\nWednesday: Booked at the following times: from 10:22 to 11:12, from 11:17 to 12:27, from 13:04 to 14:54, from 16:36 to 17:16\nThursday: Booked at the following times: from 9:58 to 10:28, from 11:53 to 12:43, from 13:19 to 13:59, from 14:04 to 14:34, from 14:50 to 15:20, from 16:23 to 16:43, from 16:48 to 17:28, from 17:39 to 17:59\nFriday: Booked at the following times: from 9:22 to 11:02, from 14:18 to 14:58, from 15:23 to 16:53\n\nDamon Lloyd is in a timezone that is 1 hour ahead of other participants\nJennifer Simon needs a break for lunch on Friday from 12:56 to 13:26\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Damon Lloyd": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[546, 686], [716, 756]], "Tuesday": [[574, 624], [632, 722], [734, 774], [791, 831], [892, 962]], "Wednesday": [[546, 646], [738, 768], [779, 839], [868, 908]], "Thursday": [[632, 772], [932, 1052]], "Friday": [[574, 634], [644, 704], [727, 797], [865, 995]]}, "free_org": {"Monday": [[540, 546], [686, 716], [756, 1080]], "Tuesday": [[540, 574], [624, 632], [722, 734], [774, 791], [831, 892], [962, 1080]], "Wednesday": [[540, 546], [646, 738], [768, 779], [839, 868], [908, 1080]], "Thursday": [[540, 632], [772, 932], [1052, 1080]], "Friday": [[540, 574], [634, 644], [704, 727], [797, 865], [995, 1080]]}, "constraint": ["timezone", 1]}, "Justin Key": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[638, 738], [878, 898], [923, 1033]], "Tuesday": [[562, 702], [940, 1080]], "Wednesday": [[557, 627], [675, 725], [775, 855], [883, 913], [979, 1009]], "Thursday": [[652, 722], [830, 870], [878, 908], [943, 1003]], "Friday": [[560, 700], [720, 770], [859, 909], [988, 1058]]}, "free_org": {"Monday": [[540, 638], [738, 878], [898, 923], [1033, 1080]], "Tuesday": [[540, 562], [702, 940]], "Wednesday": [[540, 557], [627, 675], [725, 775], [855, 883], [913, 979], [1009, 1080]], "Thursday": [[540, 652], [722, 830], [870, 878], [908, 943], [1003, 1080]], "Friday": [[540, 560], [700, 720], [770, 859], [909, 988], [1058, 1080]]}, "constraint": ["none", null]}, "Jennifer Simon": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[630, 740], [845, 865], [955, 1025]], "Tuesday": [[611, 641], [659, 779], [792, 922], [943, 973]], "Wednesday": [[622, 672], [677, 747], [784, 894], [996, 1036]], "Thursday": [[598, 628], [713, 763], [799, 839], [844, 874], [890, 920], [983, 1003], [1008, 1048], [1059, 1079]], "Friday": [[562, 662], [858, 898], [923, 1013]]}, "free_org": {"Monday": [[540, 630], [740, 845], [865, 955], [1025, 1080]], "Tuesday": [[540, 611], [641, 659], [779, 792], [922, 943], [973, 1080]], "Wednesday": [[540, 622], [672, 677], [747, 784], [894, 996], [1036, 1080]], "Thursday": [[540, 598], [628, 713], [763, 799], [839, 844], [874, 890], [920, 983], [1003, 1008], [1048, 1059], [1079, 1080]], "Friday": [[540, 562], [662, 858], [898, 923], [1013, 1080]]}, "constraint": ["lunch", ["Friday", [776, 806]]]}}, "solution": {"max_duration": 105, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nMichael Mcconnell, Bruce Smith, Alicia Gonzalez work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Michael Mcconnell's week in their local time is as follows:\nMonday: Booked at the following times: from 9:29 to 10:19, from 10:35 to 12:55, from 14:21 to 15:41, from 16:23 to 16:43, from 16:47 to 17:27\nTuesday: Booked at the following times: from 9:46 to 10:16, from 11:35 to 12:15, from 12:24 to 12:44, from 13:04 to 15:04, from 15:49 to 17:19\nWednesday: Free only at the following times: anytime before 9:34, from 10:44 to 11:25, from 11:45 to 13:19, from 15:39 to 16:26, from 16:56 to 17:26, anytime after 17:56\nThursday: Booked at the following times: from 9:53 to 11:23, from 11:52 to 13:12, from 13:28 to 13:48, from 14:39 to 16:39, from 17:00 to 17:20\nFriday: Booked at the following times: from 10:54 to 12:14, from 12:43 to 14:33, from 15:28 to 17:08\n\nThe schedule for Bruce Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 10:15 to 10:45, from 11:51 to 13:31, from 13:37 to 15:27, from 15:34 to 16:34\nTuesday: Booked at the following times: from 9:07 to 10:37, from 11:02 to 12:42, from 12:47 to 13:07, from 14:10 to 14:40, from 14:48 to 15:38\nWednesday: Booked at the following times: from 10:47 to 12:57, from 12:59 to 13:59, from 14:42 to 16:12\nThursday: Booked at the following times: from 9:06 to 10:26, from 10:37 to 11:37, from 11:57 to 13:07, from 14:46 to 16:26, from 16:40 to 17:10\nFriday: Booked at the following times: from 10:58 to 11:48, from 12:29 to 14:29\n\nThe schedule for Alicia Gonzalez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:58 to 11:18, from 11:37 to 12:17, from 12:18 to 14:08, from 14:16 to 14:36, from 15:16 to 16:56\nTuesday: Booked at the following times: from 9:09 to 9:49, from 9:50 to 11:40, from 11:50 to 12:40, from 13:02 to 14:42, from 14:47 to 16:27\nWednesday: Booked at the following times: from 11:14 to 13:14, from 13:43 to 16:13\nThursday: Booked at the following times: from 12:11 to 14:21, from 14:34 to 16:04\nFriday: Booked at the following times: from 10:10 to 12:00, from 12:12 to 12:52, from 14:20 to 15:00, from 15:39 to 15:59\n\nMichael Mcconnell requires 10 minutes free before and after the meeting\nBruce Smith requires 15 minutes free before and after the meeting\nAlicia Gonzalez needs a break for lunch on Thursday from 11:11 to 11:41\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Michael Mcconnell": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[569, 619], [635, 775], [861, 941], [983, 1003], [1007, 1047]], "Tuesday": [[586, 616], [695, 735], [744, 764], [784, 904], [949, 1039]], "Wednesday": [[574, 614], [614, 644], [685, 705], [799, 939], [986, 1016], [1046, 1076]], "Thursday": [[593, 683], [712, 792], [808, 828], [879, 999], [1020, 1040]], "Friday": [[654, 734], [763, 873], [928, 1028]]}, "free_org": {"Monday": [[540, 569], [619, 635], [775, 861], [941, 983], [1003, 1007], [1047, 1080]], "Tuesday": [[540, 586], [616, 695], [735, 744], [764, 784], [904, 949], [1039, 1080]], "Wednesday": [[540, 574], [644, 685], [705, 799], [939, 986], [1016, 1046], [1076, 1080]], "Thursday": [[540, 593], [683, 712], [792, 808], [828, 879], [999, 1020], [1040, 1080]], "Friday": [[540, 654], [734, 763], [873, 928], [1028, 1080]]}, "constraint": ["buffer", 10]}, "Bruce Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[615, 645], [711, 811], [817, 927], [934, 994]], "Tuesday": [[547, 637], [662, 762], [767, 787], [850, 880], [888, 938]], "Wednesday": [[647, 777], [779, 839], [882, 972]], "Thursday": [[546, 626], [637, 697], [717, 787], [886, 986], [1000, 1030]], "Friday": [[658, 708], [749, 869]]}, "free_org": {"Monday": [[540, 615], [645, 711], [811, 817], [927, 934], [994, 1080]], "Tuesday": [[540, 547], [637, 662], [762, 767], [787, 850], [880, 888], [938, 1080]], "Wednesday": [[540, 647], [777, 779], [839, 882], [972, 1080]], "Thursday": [[540, 546], [626, 637], [697, 717], [787, 886], [986, 1000], [1030, 1080]], "Friday": [[540, 658], [708, 749], [869, 1080]]}, "constraint": ["buffer", 15]}, "Alicia Gonzalez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[598, 678], [697, 737], [738, 848], [856, 876], [916, 1016]], "Tuesday": [[549, 589], [590, 700], [710, 760], [782, 882], [887, 987]], "Wednesday": [[674, 794], [823, 973]], "Thursday": [[731, 861], [874, 964]], "Friday": [[610, 720], [732, 772], [860, 900], [939, 959]]}, "free_org": {"Monday": [[540, 598], [678, 697], [737, 738], [848, 856], [876, 916], [1016, 1080]], "Tuesday": [[540, 549], [589, 590], [700, 710], [760, 782], [882, 887], [987, 1080]], "Wednesday": [[540, 674], [794, 823], [973, 1080]], "Thursday": [[540, 731], [861, 874], [964, 1080]], "Friday": [[540, 610], [720, 732], [772, 860], [900, 939], [959, 1080]]}, "constraint": ["lunch", ["Thursday", [671, 701]]]}}, "solution": {"max_duration": 55, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLisa Hamilton, Kyle Rodgers, Brian Collins, Hunter Skinner, Tara Brown work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Lisa Hamilton's week in their local time is as follows:\nMonday: Booked at the following times: from 10:46 to 11:06, from 11:07 to 11:37, from 12:09 to 13:39, from 14:08 to 15:58, from 16:01 to 17:21\nTuesday: Booked at the following times: from 9:21 to 9:51, from 10:23 to 12:03, from 12:36 to 13:56, from 14:45 to 16:15\nWednesday: Booked at the following times: from 9:09 to 9:29, from 9:36 to 10:46, from 10:48 to 11:08, from 11:33 to 12:23, from 12:43 to 13:13, from 13:28 to 14:18, from 14:35 to 15:45, from 17:32 to 17:52\nThursday: Booked at the following times: from 9:56 to 11:56, from 12:18 to 14:08, from 14:39 to 15:29\nFriday: Booked at the following times: from 9:21 to 10:11, from 13:09 to 14:39, from 15:38 to 17:38\n\nThe schedule for Kyle Rodgers's week in their local time is as follows:\nMonday: Booked at the following times: from 9:22 to 9:52, from 11:04 to 11:34, from 11:37 to 12:37, from 14:53 to 16:43\nTuesday: Booked at the following times: from 10:34 to 11:24, from 12:13 to 14:43, from 17:09 to 17:29\nWednesday: Booked at the following times: from 10:52 to 12:32, from 14:38 to 16:28\nThursday: Free only at the following times: anytime before 10:26, from 11:36 to 12:05, from 12:25 to 13:56, from 15:06 to 15:50, anytime after 17:20\nFriday: Free only at the following times: from 10:20 to 12:07, anytime after 16:07\n\nThe schedule for Brian Collins's week in their local time is as follows:\nMonday: Booked at the following times: from 9:30 to 10:10, from 11:18 to 12:28, from 13:57 to 15:17, from 15:34 to 17:54\nTuesday: Booked at the following times: from 9:05 to 9:55, from 10:11 to 11:51, from 12:24 to 12:54, from 13:10 to 13:30, from 14:25 to 15:15, from 15:18 to 15:48, from 15:56 to 16:26, from 16:29 to 16:49\nWednesday: Booked at the following times: from 9:48 to 10:18, from 10:25 to 11:05, from 12:09 to 12:29, from 12:51 to 13:51, from 14:04 to 14:54, from 15:46 to 16:56\nThursday: Booked at the following times: from 9:49 to 10:29, from 10:37 to 12:17, from 12:22 to 13:02, from 15:39 to 17:19\nFriday: Free only at the following times: anytime before 9:07, from 10:07 to 10:10, from 11:50 to 12:35, from 13:05 to 16:20\n\nThe schedule for Hunter Skinner's week in their local time is as follows:\nMonday: Booked at the following times: from 9:12 to 9:52, from 10:19 to 10:59, from 11:43 to 13:33, from 13:46 to 14:06, from 15:17 to 17:07\nTuesday: Booked at the following times: from 11:04 to 12:54, from 13:06 to 15:06\nWednesday: Free only at the following times: anytime before 9:36, from 11:36 to 11:55, from 12:15 to 13:43, from 15:33 to 15:56, from 16:56 to 17:05, anytime after 17:45\nThursday: Booked at the following times: from 9:37 to 11:07, from 14:21 to 15:01, from 15:37 to 16:47\nFriday: Booked at the following times: from 11:37 to 13:37, from 13:42 to 15:32, from 15:54 to 16:54\n\nThe schedule for Tara Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 9:29, from 10:15 to 10:45, from 11:48 to 12:08, from 12:30 to 13:50, from 13:59 to 14:29, from 14:49 to 15:09, from 15:13 to 16:53, from 16:59 to 17:29\nTuesday: Booked at the following times: from 12:38 to 12:58, from 13:29 to 15:39, from 15:56 to 17:36\nWednesday: Booked at the following times: from 10:38 to 11:58, from 12:00 to 12:30, from 12:41 to 14:01, from 15:25 to 16:55\nThursday: Booked at the following times: from 9:03 to 11:33, from 12:26 to 13:06, from 13:43 to 14:33, from 14:35 to 15:05, from 15:31 to 16:41\nFriday: Free only at the following times: anytime before 10:13, from 14:23 to 14:31, anytime after 16:11\n\nLisa Hamilton needs a break for lunch on Friday from 12:16 to 12:46\nKyle Rodgers needs a break for lunch on Tuesday from 11:24 to 11:54\nBrian Collins requires 10 minutes free before and after the meeting\nTara Brown requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Lisa Hamilton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[646, 666], [667, 697], [729, 819], [848, 958], [961, 1041]], "Tuesday": [[561, 591], [623, 723], [756, 836], [885, 975]], "Wednesday": [[549, 569], [576, 646], [648, 668], [693, 743], [763, 793], [808, 858], [875, 945], [1052, 1072]], "Thursday": [[596, 716], [738, 848], [879, 929]], "Friday": [[561, 611], [789, 879], [938, 1058]]}, "free_org": {"Monday": [[540, 646], [666, 667], [697, 729], [819, 848], [958, 961], [1041, 1080]], "Tuesday": [[540, 561], [591, 623], [723, 756], [836, 885], [975, 1080]], "Wednesday": [[540, 549], [569, 576], [646, 648], [668, 693], [743, 763], [793, 808], [858, 875], [945, 1052], [1072, 1080]], "Thursday": [[540, 596], [716, 738], [848, 879], [929, 1080]], "Friday": [[540, 561], [611, 789], [879, 938], [1058, 1080]]}, "constraint": ["lunch", ["Friday", [736, 766]]]}, "Kyle Rodgers": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[562, 592], [664, 694], [697, 757], [893, 1003]], "Tuesday": [[634, 684], [733, 883], [1029, 1049]], "Wednesday": [[652, 752], [878, 988]], "Thursday": [[626, 666], [666, 696], [725, 745], [836, 906], [950, 1040]], "Friday": [[540, 620], [727, 817], [817, 967]]}, "free_org": {"Monday": [[540, 562], [592, 664], [694, 697], [757, 893], [1003, 1080]], "Tuesday": [[540, 634], [684, 733], [883, 1029], [1049, 1080]], "Wednesday": [[540, 652], [752, 878], [988, 1080]], "Thursday": [[540, 626], [696, 725], [745, 836], [906, 950], [1040, 1080]], "Friday": [[620, 727], [967, 1080]]}, "constraint": ["lunch", ["Tuesday", [684, 714]]]}, "Brian Collins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[570, 610], [678, 748], [837, 917], [934, 1074]], "Tuesday": [[545, 595], [611, 711], [744, 774], [790, 810], [865, 915], [918, 948], [956, 986], [989, 1009]], "Wednesday": [[588, 618], [625, 665], [729, 749], [771, 831], [844, 894], [946, 1016]], "Thursday": [[589, 629], [637, 737], [742, 782], [939, 1039]], "Friday": [[547, 607], [610, 710], [755, 785], [980, 1080]]}, "free_org": {"Monday": [[540, 570], [610, 678], [748, 837], [917, 934], [1074, 1080]], "Tuesday": [[540, 545], [595, 611], [711, 744], [774, 790], [810, 865], [915, 918], [948, 956], [986, 989], [1009, 1080]], "Wednesday": [[540, 588], [618, 625], [665, 729], [749, 771], [831, 844], [894, 946], [1016, 1080]], "Thursday": [[540, 589], [629, 637], [737, 742], [782, 939], [1039, 1080]], "Friday": [[540, 547], [607, 610], [710, 755], [785, 980]]}, "constraint": ["buffer", 10]}, "Hunter Skinner": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[552, 592], [619, 659], [703, 813], [826, 846], [917, 1027]], "Tuesday": [[664, 774], [786, 906]], "Wednesday": [[576, 696], [715, 735], [823, 883], [883, 933], [956, 1016], [1025, 1065]], "Thursday": [[577, 667], [861, 901], [937, 1007]], "Friday": [[697, 817], [822, 932], [954, 1014]]}, "free_org": {"Monday": [[540, 552], [592, 619], [659, 703], [813, 826], [846, 917], [1027, 1080]], "Tuesday": [[540, 664], [774, 786], [906, 1080]], "Wednesday": [[540, 576], [696, 715], [735, 823], [933, 956], [1016, 1025], [1065, 1080]], "Thursday": [[540, 577], [667, 861], [901, 937], [1007, 1080]], "Friday": [[540, 697], [817, 822], [932, 954], [1014, 1080]]}, "constraint": ["none", null]}, "Tara Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 569], [615, 645], [708, 728], [750, 830], [839, 869], [889, 909], [913, 1013], [1019, 1049]], "Tuesday": [[758, 778], [809, 939], [956, 1056]], "Wednesday": [[638, 718], [720, 750], [761, 841], [925, 1015]], "Thursday": [[543, 693], [746, 786], [823, 873], [875, 905], [931, 1001]], "Friday": [[613, 763], [763, 863], [871, 971]]}, "free_org": {"Monday": [[540, 549], [569, 615], [645, 708], [728, 750], [830, 839], [869, 889], [909, 913], [1013, 1019], [1049, 1080]], "Tuesday": [[540, 758], [778, 809], [939, 956], [1056, 1080]], "Wednesday": [[540, 638], [718, 720], [750, 761], [841, 925], [1015, 1080]], "Thursday": [[540, 543], [693, 746], [786, 823], [873, 875], [905, 931], [1001, 1080]], "Friday": [[540, 613], [863, 871], [971, 1080]]}, "constraint": ["buffer", 15]}}, "solution": {"max_duration": 16, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nStephen Miranda, Tyler Nicholson, Natalie Reese, Jose Acosta, Eric Smith, Alexandria Dunn work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Stephen Miranda's week in their local time is as follows:\nMonday: Booked at the following times: from 9:04 to 10:14, from 10:22 to 10:42, from 10:52 to 12:02, from 12:58 to 14:48, from 15:46 to 16:16\nTuesday: Booked at the following times: from 10:52 to 11:32, from 11:45 to 13:35, from 14:52 to 17:02\nWednesday: Free only at the following times: from 9:40 to 11:00, from 12:10 to 13:34, anytime after 14:44\nThursday: Booked at the following times: from 9:08 to 10:38, from 11:53 to 13:33\nFriday: Booked at the following times: from 11:33 to 13:03, from 13:10 to 14:40, from 15:55 to 17:35\n\nThe schedule for Tyler Nicholson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:28 to 12:38, from 12:51 to 13:51, from 14:42 to 15:42\nTuesday: Booked at the following times: from 9:39 to 10:09, from 10:47 to 13:17, from 13:45 to 14:15, from 14:31 to 15:11, from 15:56 to 17:46\nWednesday: Booked at the following times: from 10:03 to 11:13, from 13:21 to 13:51, from 14:18 to 14:48, from 16:11 to 16:51\nThursday: Booked at the following times: from 10:18 to 11:38, from 11:42 to 14:12, from 14:40 to 17:10\nFriday: Booked at the following times: from 9:34 to 11:04, from 11:17 to 13:27, from 14:42 to 16:02, from 16:27 to 17:17\n\nThe schedule for Natalie Reese's week in their local time is as follows:\nMonday: Booked at the following times: from 10:56 to 12:56, from 14:11 to 15:21, from 15:47 to 16:17\nTuesday: Booked at the following times: from 13:19 to 14:59, from 15:00 to 17:10\nWednesday: Booked at the following times: from 9:21 to 10:21, from 10:31 to 11:01, from 11:59 to 13:09, from 14:02 to 14:32, from 14:33 to 15:03, from 15:19 to 15:39, from 16:03 to 17:13\nThursday: Booked at the following times: from 9:27 to 9:57, from 10:49 to 11:19, from 12:08 to 12:28, from 12:30 to 12:50, from 13:36 to 13:56, from 14:45 to 15:25, from 16:03 to 17:53\nFriday: Free only at the following times: anytime before 10:15, from 11:15 to 11:48, from 12:08 to 12:40, from 13:30 to 13:34, from 13:54 to 14:18, from 15:38 to 15:47, from 16:07 to 16:51, from 17:31 to 17:40\n\nThe schedule for Jose Acosta's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:58, from 11:18 to 11:24, from 12:14 to 12:31, from 13:11 to 13:35, from 13:55 to 14:31, from 15:41 to 15:57, anytime after 17:37\nTuesday: Booked at the following times: from 12:01 to 13:11, from 14:11 to 15:21, from 16:35 to 16:55, from 17:15 to 17:45\nWednesday: Booked at the following times: from 11:20 to 11:40, from 12:13 to 12:43, from 12:44 to 15:14, from 15:16 to 17:06\nThursday: Booked at the following times: from 9:19 to 10:49, from 11:10 to 13:00, from 13:30 to 14:00, from 14:16 to 15:26, from 15:32 to 15:52\nFriday: Booked at the following times: from 9:20 to 9:40, from 10:42 to 12:42, from 14:10 to 14:50, from 14:59 to 15:59, from 16:10 to 17:20\n\nThe schedule for Eric Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 11:20 to 13:10, from 13:41 to 14:01, from 15:48 to 17:58\nTuesday: Booked at the following times: from 9:32 to 10:02, from 10:42 to 13:12, from 14:21 to 15:01, from 15:08 to 16:38\nWednesday: Booked at the following times: from 9:01 to 9:51, from 11:48 to 13:38, from 13:46 to 15:36, from 15:41 to 16:11\nThursday: Booked at the following times: from 11:14 to 13:14, from 13:59 to 15:09, from 15:17 to 15:37\nFriday: Booked at the following times: from 12:39 to 14:19, from 14:57 to 16:47\n\nThe schedule for Alexandria Dunn's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:53, from 10:43 to 11:24, from 11:54 to 12:27, from 14:07 to 14:14, anytime after 16:44\nTuesday: Booked at the following times: from 10:35 to 11:35, from 13:32 to 14:52, from 15:06 to 17:26\nWednesday: Free only at the following times: anytime before 9:05, from 9:35 to 10:04, from 11:54 to 12:48, from 13:28 to 14:07, from 16:27 to 17:18, anytime after 17:48\nThursday: Booked at the following times: from 9:45 to 10:35, from 14:38 to 17:08\nFriday: Booked at the following times: from 9:03 to 9:23, from 11:14 to 12:14, from 12:30 to 14:40, from 15:27 to 15:57, from 16:18 to 17:08, from 17:20 to 17:40\n\nStephen Miranda is in a timezone that is 2 hours ahead of other participants\nTyler Nicholson needs a break for lunch on Wednesday from 12:48 to 13:18\nNatalie Reese can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nJose Acosta needs a break for lunch on Friday from 12:59 to 13:29\nEric Smith requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Stephen Miranda": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[544, 614], [622, 642], [652, 722], [778, 888], [946, 976]], "Tuesday": [[652, 692], [705, 815], [892, 1022]], "Wednesday": [[540, 580], [660, 730], [814, 884]], "Thursday": [[548, 638], [713, 813]], "Friday": [[693, 783], [790, 880], [955, 1055]]}, "free_org": {"Monday": [[540, 544], [614, 622], [642, 652], [722, 778], [888, 946], [976, 1080]], "Tuesday": [[540, 652], [692, 705], [815, 892], [1022, 1080]], "Wednesday": [[580, 660], [730, 814], [884, 1080]], "Thursday": [[540, 548], [638, 713], [813, 1080]], "Friday": [[540, 693], [783, 790], [880, 955], [1055, 1080]]}, "constraint": ["timezone", 2]}, "Tyler Nicholson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[688, 758], [771, 831], [882, 942]], "Tuesday": [[579, 609], [647, 797], [825, 855], [871, 911], [956, 1066]], "Wednesday": [[603, 673], [801, 831], [858, 888], [971, 1011]], "Thursday": [[618, 698], [702, 852], [880, 1030]], "Friday": [[574, 664], [677, 807], [882, 962], [987, 1037]]}, "free_org": {"Monday": [[540, 688], [758, 771], [831, 882], [942, 1080]], "Tuesday": [[540, 579], [609, 647], [797, 825], [855, 871], [911, 956], [1066, 1080]], "Wednesday": [[540, 603], [673, 801], [831, 858], [888, 971], [1011, 1080]], "Thursday": [[540, 618], [698, 702], [852, 880], [1030, 1080]], "Friday": [[540, 574], [664, 677], [807, 882], [962, 987], [1037, 1080]]}, "constraint": ["lunch", ["Wednesday", [768, 798]]]}, "Natalie Reese": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[656, 776], [851, 921], [947, 977]], "Tuesday": [[799, 899], [900, 1030]], "Wednesday": [[561, 621], [631, 661], [719, 789], [842, 872], [873, 903], [919, 939], [963, 1033]], "Thursday": [[567, 597], [649, 679], [728, 748], [750, 770], [816, 836], [885, 925], [963, 1073]], "Friday": [[615, 675], [708, 728], [760, 810], [814, 834], [858, 918], [918, 938], [947, 967], [1011, 1051], [1060, 1080]]}, "free_org": {"Monday": [[540, 656], [776, 851], [921, 947], [977, 1080]], "Tuesday": [[540, 799], [899, 900], [1030, 1080]], "Wednesday": [[540, 561], [621, 631], [661, 719], [789, 842], [872, 873], [903, 919], [939, 963], [1033, 1080]], "Thursday": [[540, 567], [597, 649], [679, 728], [748, 750], [770, 816], [836, 885], [925, 963], [1073, 1080]], "Friday": [[540, 615], [675, 708], [728, 760], [810, 814], [834, 858], [938, 947], [967, 1011], [1051, 1060]]}, "constraint": ["conflict", 20]}, "Jose Acosta": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[658, 678], [684, 734], [751, 791], [815, 835], [871, 941], [957, 997], [997, 1057]], "Tuesday": [[721, 791], [851, 921], [995, 1015], [1035, 1065]], "Wednesday": [[680, 700], [733, 763], [764, 914], [916, 1026]], "Thursday": [[559, 649], [670, 780], [810, 840], [856, 926], [932, 952]], "Friday": [[560, 580], [642, 762], [850, 890], [899, 959], [970, 1040]]}, "free_org": {"Monday": [[540, 658], [678, 684], [734, 751], [791, 815], [835, 871], [941, 957], [1057, 1080]], "Tuesday": [[540, 721], [791, 851], [921, 995], [1015, 1035], [1065, 1080]], "Wednesday": [[540, 680], [700, 733], [763, 764], [914, 916], [1026, 1080]], "Thursday": [[540, 559], [649, 670], [780, 810], [840, 856], [926, 932], [952, 1080]], "Friday": [[540, 560], [580, 642], [762, 850], [890, 899], [959, 970], [1040, 1080]]}, "constraint": ["lunch", ["Friday", [779, 809]]]}, "Eric Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[680, 790], [821, 841], [948, 1078]], "Tuesday": [[572, 602], [642, 792], [861, 901], [908, 998]], "Wednesday": [[541, 591], [708, 818], [826, 936], [941, 971]], "Thursday": [[674, 794], [839, 909], [917, 937]], "Friday": [[759, 859], [897, 1007]]}, "free_org": {"Monday": [[540, 680], [790, 821], [841, 948], [1078, 1080]], "Tuesday": [[540, 572], [602, 642], [792, 861], [901, 908], [998, 1080]], "Wednesday": [[540, 541], [591, 708], [818, 826], [936, 941], [971, 1080]], "Thursday": [[540, 674], [794, 839], [909, 917], [937, 1080]], "Friday": [[540, 759], [859, 897], [1007, 1080]]}, "constraint": ["buffer", 5]}, "Alexandria Dunn": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[593, 643], [684, 714], [747, 847], [854, 884], [884, 1004]], "Tuesday": [[635, 695], [812, 892], [906, 1046]], "Wednesday": [[545, 575], [604, 714], [768, 808], [847, 887], [887, 987], [1038, 1068]], "Thursday": [[585, 635], [878, 1028]], "Friday": [[543, 563], [674, 734], [750, 880], [927, 957], [978, 1028], [1040, 1060]]}, "free_org": {"Monday": [[540, 593], [643, 684], [714, 747], [847, 854], [1004, 1080]], "Tuesday": [[540, 635], [695, 812], [892, 906], [1046, 1080]], "Wednesday": [[540, 545], [575, 604], [714, 768], [808, 847], [987, 1038], [1068, 1080]], "Thursday": [[540, 585], [635, 878], [1028, 1080]], "Friday": [[540, 543], [563, 674], [734, 750], [880, 927], [957, 978], [1028, 1040], [1060, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 14, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nPaul Wilson, Mary Mcgee, Rachel Carson, George Richard, John Chambers work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Paul Wilson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:25 to 11:25, from 11:44 to 12:54, from 14:15 to 14:35, from 16:39 to 16:59\nTuesday: Booked at the following times: from 9:51 to 11:01, from 12:08 to 13:58, from 14:34 to 16:44\nWednesday: Booked at the following times: from 9:21 to 11:01, from 13:08 to 13:58, from 14:33 to 15:43, from 16:19 to 17:39\nThursday: Booked at the following times: from 9:53 to 12:03, from 12:18 to 13:58, from 16:29 to 17:19\nFriday: Booked at the following times: from 9:34 to 11:14, from 16:06 to 17:46\n\nThe schedule for Mary Mcgee's week in their local time is as follows:\nMonday: Booked at the following times: from 9:08 to 9:38, from 9:51 to 10:21, from 11:28 to 12:28, from 12:56 to 13:16, from 13:40 to 14:20, from 15:14 to 17:04\nTuesday: Free only at the following times: anytime before 9:46, from 10:36 to 11:08, from 12:18 to 13:51, from 14:11 to 14:24, from 15:24 to 15:44, anytime after 17:24\nWednesday: Booked at the following times: from 9:10 to 11:20, from 11:44 to 13:34, from 13:48 to 14:48\nThursday: Booked at the following times: from 9:36 to 10:06, from 10:47 to 11:07, from 11:44 to 13:04, from 13:09 to 13:59, from 14:30 to 15:10, from 15:30 to 15:50, from 15:57 to 17:17\nFriday: Booked at the following times: from 10:36 to 11:26, from 13:46 to 14:16, from 14:47 to 15:17, from 16:43 to 17:53\n\nThe schedule for Rachel Carson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:24 to 11:44, from 13:01 to 14:21, from 15:45 to 17:45\nTuesday: Booked at the following times: from 9:41 to 12:11, from 14:06 to 16:36\nWednesday: Booked at the following times: from 10:34 to 11:24, from 11:31 to 13:01, from 14:47 to 16:27\nThursday: Booked at the following times: from 9:39 to 9:59, from 11:40 to 13:50, from 14:34 to 14:54, from 15:31 to 15:51, from 15:55 to 17:55\nFriday: Booked at the following times: from 9:09 to 9:29, from 9:54 to 10:34, from 11:26 to 13:46\n\nThe schedule for George Richard's week in their local time is as follows:\nMonday: Booked at the following times: from 9:04 to 9:44, from 9:57 to 12:07, from 14:00 to 14:20, from 16:32 to 17:12\nTuesday: Booked at the following times: from 10:03 to 12:23, from 13:57 to 16:27\nWednesday: Booked at the following times: from 9:32 to 10:42, from 10:55 to 11:25, from 13:13 to 14:53, from 15:23 to 15:53, from 15:59 to 16:49, from 17:17 to 17:37\nThursday: Booked at the following times: from 9:37 to 11:57, from 13:18 to 14:28, from 14:35 to 16:45\nFriday: Booked at the following times: from 10:18 to 11:28, from 12:04 to 12:54, from 13:11 to 14:01, from 14:34 to 15:44\n\nThe schedule for John Chambers's week in their local time is as follows:\nMonday: Booked at the following times: from 9:26 to 11:06, from 12:35 to 13:45, from 13:56 to 14:56, from 15:47 to 16:27, from 16:43 to 17:33\nTuesday: Free only at the following times: anytime before 9:55, from 10:15 to 10:24, from 11:04 to 11:18, from 11:38 to 11:45, from 12:45 to 13:12, from 13:52 to 14:31, from 14:51 to 15:02, from 15:32 to 15:41, from 16:11 to 16:42, anytime after 17:32\nWednesday: Booked at the following times: from 10:57 to 12:37, from 13:42 to 14:32, from 15:13 to 17:23\nThursday: Booked at the following times: from 10:00 to 12:00, from 12:01 to 12:41, from 13:22 to 14:52, from 15:52 to 17:32\nFriday: Booked at the following times: from 9:32 to 11:02, from 13:21 to 14:51, from 16:02 to 17:22\n\nPaul Wilson is in a timezone that is 1 hour behind of other participants\nMary Mcgee requires 5 minutes free before and after the meeting\nRachel Carson can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nGeorge Richard needs a break for lunch on Tuesday from 12:29 to 12:59\nJohn Chambers is in a timezone that is 2 hours behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Paul Wilson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[565, 685], [704, 774], [855, 875], [999, 1019]], "Tuesday": [[591, 661], [728, 838], [874, 1004]], "Wednesday": [[561, 661], [788, 838], [873, 943], [979, 1059]], "Thursday": [[593, 723], [738, 838], [989, 1039]], "Friday": [[574, 674], [966, 1066]]}, "free_org": {"Monday": [[540, 565], [685, 704], [774, 855], [875, 999], [1019, 1080]], "Tuesday": [[540, 591], [661, 728], [838, 874], [1004, 1080]], "Wednesday": [[540, 561], [661, 788], [838, 873], [943, 979], [1059, 1080]], "Thursday": [[540, 593], [723, 738], [838, 989], [1039, 1080]], "Friday": [[540, 574], [674, 966], [1066, 1080]]}, "constraint": ["timezone", -1]}, "Mary Mcgee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[548, 578], [591, 621], [688, 748], [776, 796], [820, 860], [914, 1024]], "Tuesday": [[586, 636], [668, 718], [718, 738], [831, 851], [864, 924], [944, 1044]], "Wednesday": [[550, 680], [704, 814], [828, 888]], "Thursday": [[576, 606], [647, 667], [704, 784], [789, 839], [870, 910], [930, 950], [957, 1037]], "Friday": [[636, 686], [826, 856], [887, 917], [1003, 1073]]}, "free_org": {"Monday": [[540, 548], [578, 591], [621, 688], [748, 776], [796, 820], [860, 914], [1024, 1080]], "Tuesday": [[540, 586], [636, 668], [738, 831], [851, 864], [924, 944], [1044, 1080]], "Wednesday": [[540, 550], [680, 704], [814, 828], [888, 1080]], "Thursday": [[540, 576], [606, 647], [667, 704], [784, 789], [839, 870], [910, 930], [950, 957], [1037, 1080]], "Friday": [[540, 636], [686, 826], [856, 887], [917, 1003], [1073, 1080]]}, "constraint": ["buffer", 5]}, "Rachel Carson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[564, 704], [781, 861], [945, 1065]], "Tuesday": [[581, 731], [846, 996]], "Wednesday": [[634, 684], [691, 781], [887, 987]], "Thursday": [[579, 599], [700, 830], [874, 894], [931, 951], [955, 1075]], "Friday": [[549, 569], [594, 634], [686, 826]]}, "free_org": {"Monday": [[540, 564], [704, 781], [861, 945], [1065, 1080]], "Tuesday": [[540, 581], [731, 846], [996, 1080]], "Wednesday": [[540, 634], [684, 691], [781, 887], [987, 1080]], "Thursday": [[540, 579], [599, 700], [830, 874], [894, 931], [951, 955], [1075, 1080]], "Friday": [[540, 549], [569, 594], [634, 686], [826, 1080]]}, "constraint": ["conflict", 20]}, "George Richard": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[544, 584], [597, 727], [840, 860], [992, 1032]], "Tuesday": [[603, 743], [837, 987]], "Wednesday": [[572, 642], [655, 685], [793, 893], [923, 953], [959, 1009], [1037, 1057]], "Thursday": [[577, 717], [798, 868], [875, 1005]], "Friday": [[618, 688], [724, 774], [791, 841], [874, 944]]}, "free_org": {"Monday": [[540, 544], [584, 597], [727, 840], [860, 992], [1032, 1080]], "Tuesday": [[540, 603], [743, 837], [987, 1080]], "Wednesday": [[540, 572], [642, 655], [685, 793], [893, 923], [953, 959], [1009, 1037], [1057, 1080]], "Thursday": [[540, 577], [717, 798], [868, 875], [1005, 1080]], "Friday": [[540, 618], [688, 724], [774, 791], [841, 874], [944, 1080]]}, "constraint": ["lunch", ["Tuesday", [749, 779]]]}, "John Chambers": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[566, 666], [755, 825], [836, 896], [947, 987], [1003, 1053]], "Tuesday": [[595, 615], [624, 664], [678, 698], [705, 745], [745, 765], [792, 832], [871, 891], [902, 932], [941, 971], [1002, 1052]], "Wednesday": [[657, 757], [822, 872], [913, 1043]], "Thursday": [[600, 720], [721, 761], [802, 892], [952, 1052]], "Friday": [[572, 662], [801, 891], [962, 1042]]}, "free_org": {"Monday": [[540, 566], [666, 755], [825, 836], [896, 947], [987, 1003], [1053, 1080]], "Tuesday": [[540, 595], [615, 624], [664, 678], [698, 705], [765, 792], [832, 871], [891, 902], [932, 941], [971, 1002], [1052, 1080]], "Wednesday": [[540, 657], [757, 822], [872, 913], [1043, 1080]], "Thursday": [[540, 600], [720, 721], [761, 802], [892, 952], [1052, 1080]], "Friday": [[540, 572], [662, 801], [891, 962], [1042, 1080]]}, "constraint": ["timezone", -2]}}, "solution": {"max_duration": 24, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAmy Moore MD, Connie Kim, Laura Hall, Charles Hamilton, Taylor Montgomery, Aaron Briggs work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Amy Moore MD's week in their local time is as follows:\nMonday: Booked at the following times: from 9:45 to 10:05, from 11:00 to 12:40, from 12:58 to 14:28, from 14:39 to 15:29, from 15:44 to 16:44, from 16:48 to 17:18\nTuesday: Booked at the following times: from 9:34 to 10:04, from 10:49 to 11:09, from 11:13 to 12:03, from 12:20 to 12:40, from 12:42 to 13:02, from 13:28 to 14:28, from 14:49 to 15:59, from 16:28 to 17:28\nWednesday: Booked at the following times: from 9:18 to 10:08, from 12:11 to 14:41, from 14:56 to 16:26, from 17:09 to 17:39\nThursday: Booked at the following times: from 10:02 to 10:42, from 10:43 to 12:43, from 12:55 to 14:25\nFriday: Booked at the following times: from 10:15 to 11:15, from 13:02 to 15:02, from 15:40 to 17:50\n\nThe schedule for Connie Kim's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 11:26, from 13:56 to 14:46, anytime after 16:26\nTuesday: Booked at the following times: from 9:10 to 10:00, from 11:37 to 14:07, from 14:49 to 16:39\nWednesday: Free only at the following times: anytime before 9:46, from 10:26 to 12:04, from 13:24 to 13:47, anytime after 15:57\nThursday: Booked at the following times: from 9:02 to 10:02, from 10:10 to 12:30, from 12:32 to 13:32, from 13:34 to 13:54, from 15:47 to 17:57\nFriday: Booked at the following times: from 10:29 to 12:39, from 13:12 to 15:02, from 15:21 to 17:11\n\nThe schedule for Laura Hall's week in their local time is as follows:\nMonday: Booked at the following times: from 9:03 to 10:33, from 11:31 to 12:51, from 14:24 to 15:14\nTuesday: Booked at the following times: from 9:32 to 10:32, from 11:14 to 11:34, from 11:59 to 13:19, from 14:25 to 15:25, from 15:42 to 17:32\nWednesday: Booked at the following times: from 10:13 to 11:33, from 12:02 to 14:32, from 14:49 to 16:49, from 16:56 to 17:16\nThursday: Booked at the following times: from 9:14 to 10:54, from 11:12 to 13:22, from 14:26 to 14:46, from 15:02 to 16:22\nFriday: Booked at the following times: from 11:29 to 12:49, from 14:07 to 15:07, from 16:54 to 17:44\n\nThe schedule for Charles Hamilton's week in their local time is as follows:\nMonday: Booked at the following times: from 10:08 to 11:48, from 11:51 to 13:41\nTuesday: Booked at the following times: from 9:11 to 11:01, from 12:37 to 12:57, from 14:02 to 15:52, from 16:00 to 17:30\nWednesday: Booked at the following times: from 10:38 to 11:08, from 11:22 to 11:42, from 12:31 to 13:01, from 13:21 to 14:51, from 16:46 to 17:16, from 17:25 to 17:55\nThursday: Booked at the following times: from 10:01 to 11:31, from 11:50 to 12:20, from 13:13 to 15:03\nFriday: Booked at the following times: from 12:01 to 14:21, from 15:48 to 17:18\n\nThe schedule for Taylor Montgomery's week in their local time is as follows:\nMonday: Booked at the following times: from 9:38 to 9:58, from 13:03 to 14:23, from 15:15 to 17:45\nTuesday: Booked at the following times: from 9:55 to 11:15, from 11:37 to 12:37, from 12:52 to 13:42, from 14:33 to 16:13, from 17:39 to 17:59\nWednesday: Booked at the following times: from 10:08 to 11:28, from 14:27 to 16:27\nThursday: Free only at the following times: from 10:20 to 11:01, from 12:41 to 13:43, anytime after 15:43\nFriday: Booked at the following times: from 10:47 to 11:47, from 12:41 to 13:21, from 13:24 to 13:54, from 13:58 to 14:18, from 14:23 to 15:23, from 15:26 to 17:26\n\nThe schedule for Aaron Briggs's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 10:56, from 13:06 to 15:16\nTuesday: Booked at the following times: from 10:53 to 13:23, from 14:44 to 15:44, from 17:19 to 17:59\nWednesday: Booked at the following times: from 9:42 to 11:22, from 13:03 to 14:53, from 16:10 to 17:00\nThursday: Free only at the following times: anytime before 11:40, from 12:00 to 12:13, from 14:23 to 14:49, from 16:39 to 17:13, anytime after 17:33\nFriday: Booked at the following times: from 11:04 to 12:14, from 12:33 to 15:03\n\nAmy Moore MD requires 10 minutes free before and after the meeting\nConnie Kim is in a timezone that is 1 hour behind of other participants\nLaura Hall can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nCharles Hamilton can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nTaylor Montgomery is in a timezone that is 2 hours ahead of other participants\nAaron Briggs requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Amy Moore MD": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[585, 605], [660, 760], [778, 868], [879, 929], [944, 1004], [1008, 1038]], "Tuesday": [[574, 604], [649, 669], [673, 723], [740, 760], [762, 782], [808, 868], [889, 959], [988, 1048]], "Wednesday": [[558, 608], [731, 881], [896, 986], [1029, 1059]], "Thursday": [[602, 642], [643, 763], [775, 865]], "Friday": [[615, 675], [782, 902], [940, 1070]]}, "free_org": {"Monday": [[540, 585], [605, 660], [760, 778], [868, 879], [929, 944], [1004, 1008], [1038, 1080]], "Tuesday": [[540, 574], [604, 649], [669, 673], [723, 740], [760, 762], [782, 808], [868, 889], [959, 988], [1048, 1080]], "Wednesday": [[540, 558], [608, 731], [881, 896], [986, 1029], [1059, 1080]], "Thursday": [[540, 602], [642, 643], [763, 775], [865, 1080]], "Friday": [[540, 615], [675, 782], [902, 940], [1070, 1080]]}, "constraint": ["buffer", 10]}, "Connie Kim": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[686, 736], [736, 836], [886, 986]], "Tuesday": [[550, 600], [697, 847], [889, 999]], "Wednesday": [[586, 626], [724, 804], [827, 927], [927, 957]], "Thursday": [[542, 602], [610, 750], [752, 812], [814, 834], [947, 1077]], "Friday": [[629, 759], [792, 902], [921, 1031]]}, "free_org": {"Monday": [[540, 686], [836, 886], [986, 1080]], "Tuesday": [[540, 550], [600, 697], [847, 889], [999, 1080]], "Wednesday": [[540, 586], [626, 724], [804, 827], [957, 1080]], "Thursday": [[540, 542], [602, 610], [750, 752], [812, 814], [834, 947], [1077, 1080]], "Friday": [[540, 629], [759, 792], [902, 921], [1031, 1080]]}, "constraint": ["timezone", -1]}, "Laura Hall": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[543, 633], [691, 771], [864, 914]], "Tuesday": [[572, 632], [674, 694], [719, 799], [865, 925], [942, 1052]], "Wednesday": [[613, 693], [722, 872], [889, 1009], [1016, 1036]], "Thursday": [[554, 654], [672, 802], [866, 886], [902, 982]], "Friday": [[689, 769], [847, 907], [1014, 1064]]}, "free_org": {"Monday": [[540, 543], [633, 691], [771, 864], [914, 1080]], "Tuesday": [[540, 572], [632, 674], [694, 719], [799, 865], [925, 942], [1052, 1080]], "Wednesday": [[540, 613], [693, 722], [872, 889], [1009, 1016], [1036, 1080]], "Thursday": [[540, 554], [654, 672], [802, 866], [886, 902], [982, 1080]], "Friday": [[540, 689], [769, 847], [907, 1014], [1064, 1080]]}, "constraint": ["conflict", 20]}, "Charles Hamilton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[608, 708], [711, 821]], "Tuesday": [[551, 661], [757, 777], [842, 952], [960, 1050]], "Wednesday": [[638, 668], [682, 702], [751, 781], [801, 891], [1006, 1036], [1045, 1075]], "Thursday": [[601, 691], [710, 740], [793, 903]], "Friday": [[721, 861], [948, 1038]]}, "free_org": {"Monday": [[540, 608], [708, 711], [821, 1080]], "Tuesday": [[540, 551], [661, 757], [777, 842], [952, 960], [1050, 1080]], "Wednesday": [[540, 638], [668, 682], [702, 751], [781, 801], [891, 1006], [1036, 1045], [1075, 1080]], "Thursday": [[540, 601], [691, 710], [740, 793], [903, 1080]], "Friday": [[540, 721], [861, 948], [1038, 1080]]}, "constraint": ["conflict", 40]}, "Taylor Montgomery": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[578, 598], [783, 863], [915, 1065]], "Tuesday": [[595, 675], [697, 757], [772, 822], [873, 973], [1059, 1079]], "Wednesday": [[608, 688], [867, 987]], "Thursday": [[540, 620], [661, 761], [823, 943]], "Friday": [[647, 707], [761, 801], [804, 834], [838, 858], [863, 923], [926, 1046]]}, "free_org": {"Monday": [[540, 578], [598, 783], [863, 915], [1065, 1080]], "Tuesday": [[540, 595], [675, 697], [757, 772], [822, 873], [973, 1059], [1079, 1080]], "Wednesday": [[540, 608], [688, 867], [987, 1080]], "Thursday": [[620, 661], [761, 823], [943, 1080]], "Friday": [[540, 647], [707, 761], [801, 804], [834, 838], [858, 863], [923, 926], [1046, 1080]]}, "constraint": ["timezone", 2]}, "Aaron Briggs": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 656], [786, 916]], "Tuesday": [[653, 803], [884, 944], [1039, 1079]], "Wednesday": [[582, 682], [783, 893], [970, 1020]], "Thursday": [[700, 720], [733, 763], [763, 863], [889, 999], [1033, 1053]], "Friday": [[664, 734], [753, 903]]}, "free_org": {"Monday": [[540, 576], [656, 786], [916, 1080]], "Tuesday": [[540, 653], [803, 884], [944, 1039], [1079, 1080]], "Wednesday": [[540, 582], [682, 783], [893, 970], [1020, 1080]], "Thursday": [[540, 700], [720, 733], [863, 889], [999, 1033], [1053, 1080]], "Friday": [[540, 664], [734, 753], [903, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 28, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nNicole Obrien, Melanie Gates, Michelle Rice, Paula Hernandez, Mark Owens, Mark Martinez DDS work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Nicole Obrien's week in their local time is as follows:\nMonday: Booked at the following times: from 9:20 to 10:10, from 11:35 to 12:35, from 13:25 to 13:55, from 14:16 to 14:46, from 15:15 to 15:55\nTuesday: Free only at the following times: anytime before 10:41, from 15:11 to 15:18, anytime after 16:08\nWednesday: Booked at the following times: from 9:46 to 10:26, from 10:43 to 12:03, from 12:04 to 14:24, from 15:30 to 17:40\nThursday: Booked at the following times: from 10:32 to 12:12, from 13:06 to 13:56, from 14:30 to 15:50, from 16:02 to 16:32, from 16:58 to 17:18, from 17:33 to 17:53\nFriday: Booked at the following times: from 9:24 to 9:44, from 10:34 to 11:14, from 11:31 to 13:41, from 13:59 to 14:19, from 15:01 to 17:31, from 17:33 to 17:53\n\nThe schedule for Melanie Gates's week in their local time is as follows:\nMonday: Booked at the following times: from 10:11 to 11:31, from 12:55 to 14:25, from 14:53 to 15:33, from 16:16 to 17:26\nTuesday: Free only at the following times: anytime before 9:16, from 10:16 to 10:36, from 11:06 to 12:01, from 12:41 to 13:24, from 14:34 to 14:39, from 14:59 to 15:44, from 16:14 to 17:00\nWednesday: Booked at the following times: from 9:06 to 9:56, from 10:46 to 11:16, from 13:07 to 14:27, from 14:46 to 15:26, from 15:27 to 15:47, from 17:08 to 17:28\nThursday: Booked at the following times: from 9:30 to 11:20, from 14:49 to 16:19\nFriday: Booked at the following times: from 9:19 to 9:39, from 10:29 to 10:49, from 11:03 to 12:13, from 13:36 to 15:46, from 15:53 to 16:13\n\nThe schedule for Michelle Rice's week in their local time is as follows:\nMonday: Booked at the following times: from 11:16 to 13:36, from 13:37 to 15:17\nTuesday: Booked at the following times: from 9:45 to 12:15, from 14:54 to 15:14, from 15:48 to 16:48, from 16:57 to 17:57\nWednesday: Booked at the following times: from 12:05 to 13:15, from 13:39 to 13:59, from 15:59 to 17:59\nThursday: Booked at the following times: from 9:39 to 10:29, from 11:15 to 13:05, from 14:20 to 15:50, from 16:01 to 17:51\nFriday: Booked at the following times: from 10:19 to 10:49, from 11:57 to 13:37, from 13:52 to 15:02, from 15:07 to 17:37\n\nThe schedule for Paula Hernandez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:16 to 11:46, from 13:31 to 14:51, from 17:08 to 17:48\nTuesday: Booked at the following times: from 9:13 to 9:33, from 10:31 to 11:31, from 11:34 to 11:54, from 12:05 to 12:55, from 13:11 to 14:01, from 15:18 to 17:28\nWednesday: Booked at the following times: from 10:26 to 12:56, from 13:00 to 15:30\nThursday: Free only at the following times: anytime before 10:53, from 11:33 to 12:24, from 13:14 to 13:32, from 14:02 to 14:18, from 15:08 to 15:30, from 17:00 to 17:40\nFriday: Booked at the following times: from 10:10 to 12:30, from 14:42 to 15:22, from 15:51 to 17:31\n\nThe schedule for Mark Owens's week in their local time is as follows:\nMonday: Booked at the following times: from 9:10 to 10:10, from 11:22 to 12:22, from 13:15 to 13:45, from 15:15 to 16:15, from 16:18 to 16:38, from 16:41 to 17:41\nTuesday: Booked at the following times: from 9:40 to 10:30, from 10:42 to 11:02, from 11:38 to 12:28, from 13:03 to 13:23, from 13:44 to 14:04, from 14:06 to 14:56, from 15:14 to 16:24, from 16:28 to 17:38\nWednesday: Booked at the following times: from 9:36 to 10:36, from 10:42 to 12:52, from 14:16 to 15:56\nThursday: Booked at the following times: from 10:15 to 10:55, from 10:58 to 11:48, from 12:23 to 13:13, from 14:40 to 15:50, from 17:26 to 17:56\nFriday: Booked at the following times: from 9:13 to 9:53, from 11:43 to 12:53, from 13:13 to 13:33, from 13:51 to 14:11, from 15:30 to 15:50, from 15:55 to 17:15\n\nThe schedule for Mark Martinez DDS's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 11:09, from 11:22 to 11:42, from 11:58 to 12:18, from 12:40 to 13:50, from 14:14 to 15:14, from 17:11 to 17:41\nTuesday: Booked at the following times: from 9:38 to 10:08, from 10:30 to 11:40, from 11:41 to 13:11, from 15:08 to 16:58\nWednesday: Booked at the following times: from 11:19 to 12:39, from 12:48 to 14:58, from 15:31 to 17:11\nThursday: Booked at the following times: from 10:34 to 11:04, from 13:26 to 14:46, from 16:24 to 17:54\nFriday: Booked at the following times: from 9:15 to 10:15, from 10:28 to 11:48, from 12:28 to 13:58, from 16:11 to 17:41\n\nNicole Obrien needs a break for lunch on Monday from 11:02 to 11:32\nMelanie Gates is in a timezone that is 2 hours ahead of other participants\nPaula Hernandez requires 15 minutes free before and after the meeting\nMark Owens is in a timezone that is 2 hours behind of other participants\nMark Martinez DDS is in a timezone that is 2 hours ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Nicole Obrien": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[560, 610], [695, 755], [805, 835], [856, 886], [915, 955]], "Tuesday": [[641, 781], [781, 911], [918, 968]], "Wednesday": [[586, 626], [643, 723], [724, 864], [930, 1060]], "Thursday": [[632, 732], [786, 836], [870, 950], [962, 992], [1018, 1038], [1053, 1073]], "Friday": [[564, 584], [634, 674], [691, 821], [839, 859], [901, 1051], [1053, 1073]]}, "free_org": {"Monday": [[540, 560], [610, 695], [755, 805], [835, 856], [886, 915], [955, 1080]], "Tuesday": [[540, 641], [911, 918], [968, 1080]], "Wednesday": [[540, 586], [626, 643], [723, 724], [864, 930], [1060, 1080]], "Thursday": [[540, 632], [732, 786], [836, 870], [950, 962], [992, 1018], [1038, 1053], [1073, 1080]], "Friday": [[540, 564], [584, 634], [674, 691], [821, 839], [859, 901], [1051, 1053], [1073, 1080]]}, "constraint": ["lunch", ["Monday", [662, 692]]]}, "Melanie Gates": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[611, 691], [775, 865], [893, 933], [976, 1046]], "Tuesday": [[556, 616], [636, 666], [721, 761], [804, 874], [879, 899], [944, 974], [1020, 1080]], "Wednesday": [[546, 596], [646, 676], [787, 867], [886, 926], [927, 947], [1028, 1048]], "Thursday": [[570, 680], [889, 979]], "Friday": [[559, 579], [629, 649], [663, 733], [816, 946], [953, 973]]}, "free_org": {"Monday": [[540, 611], [691, 775], [865, 893], [933, 976], [1046, 1080]], "Tuesday": [[540, 556], [616, 636], [666, 721], [761, 804], [874, 879], [899, 944], [974, 1020]], "Wednesday": [[540, 546], [596, 646], [676, 787], [867, 886], [926, 927], [947, 1028], [1048, 1080]], "Thursday": [[540, 570], [680, 889], [979, 1080]], "Friday": [[540, 559], [579, 629], [649, 663], [733, 816], [946, 953], [973, 1080]]}, "constraint": ["timezone", 2]}, "Michelle Rice": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[676, 816], [817, 917]], "Tuesday": [[585, 735], [894, 914], [948, 1008], [1017, 1077]], "Wednesday": [[725, 795], [819, 839], [959, 1079]], "Thursday": [[579, 629], [675, 785], [860, 950], [961, 1071]], "Friday": [[619, 649], [717, 817], [832, 902], [907, 1057]]}, "free_org": {"Monday": [[540, 676], [816, 817], [917, 1080]], "Tuesday": [[540, 585], [735, 894], [914, 948], [1008, 1017], [1077, 1080]], "Wednesday": [[540, 725], [795, 819], [839, 959], [1079, 1080]], "Thursday": [[540, 579], [629, 675], [785, 860], [950, 961], [1071, 1080]], "Friday": [[540, 619], [649, 717], [817, 832], [902, 907], [1057, 1080]]}, "constraint": ["none", null]}, "Paula Hernandez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[556, 706], [811, 891], [1028, 1068]], "Tuesday": [[553, 573], [631, 691], [694, 714], [725, 775], [791, 841], [918, 1048]], "Wednesday": [[626, 776], [780, 930]], "Thursday": [[653, 693], [744, 794], [812, 842], [858, 908], [930, 1020], [1060, 1080]], "Friday": [[610, 750], [882, 922], [951, 1051]]}, "free_org": {"Monday": [[540, 556], [706, 811], [891, 1028], [1068, 1080]], "Tuesday": [[540, 553], [573, 631], [691, 694], [714, 725], [775, 791], [841, 918], [1048, 1080]], "Wednesday": [[540, 626], [776, 780], [930, 1080]], "Thursday": [[540, 653], [693, 744], [794, 812], [842, 858], [908, 930], [1020, 1060]], "Friday": [[540, 610], [750, 882], [922, 951], [1051, 1080]]}, "constraint": ["buffer", 15]}, "Mark Owens": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[550, 610], [682, 742], [795, 825], [915, 975], [978, 998], [1001, 1061]], "Tuesday": [[580, 630], [642, 662], [698, 748], [783, 803], [824, 844], [846, 896], [914, 984], [988, 1058]], "Wednesday": [[576, 636], [642, 772], [856, 956]], "Thursday": [[615, 655], [658, 708], [743, 793], [880, 950], [1046, 1076]], "Friday": [[553, 593], [703, 773], [793, 813], [831, 851], [930, 950], [955, 1035]]}, "free_org": {"Monday": [[540, 550], [610, 682], [742, 795], [825, 915], [975, 978], [998, 1001], [1061, 1080]], "Tuesday": [[540, 580], [630, 642], [662, 698], [748, 783], [803, 824], [844, 846], [896, 914], [984, 988], [1058, 1080]], "Wednesday": [[540, 576], [636, 642], [772, 856], [956, 1080]], "Thursday": [[540, 615], [655, 658], [708, 743], [793, 880], [950, 1046], [1076, 1080]], "Friday": [[540, 553], [593, 703], [773, 793], [813, 831], [851, 930], [950, 955], [1035, 1080]]}, "constraint": ["timezone", -2]}, "Mark Martinez DDS": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 669], [682, 702], [718, 738], [760, 830], [854, 914], [1031, 1061]], "Tuesday": [[578, 608], [630, 700], [701, 791], [908, 1018]], "Wednesday": [[679, 759], [768, 898], [931, 1031]], "Thursday": [[634, 664], [806, 886], [984, 1074]], "Friday": [[555, 615], [628, 708], [748, 838], [971, 1061]]}, "free_org": {"Monday": [[540, 549], [669, 682], [702, 718], [738, 760], [830, 854], [914, 1031], [1061, 1080]], "Tuesday": [[540, 578], [608, 630], [700, 701], [791, 908], [1018, 1080]], "Wednesday": [[540, 679], [759, 768], [898, 931], [1031, 1080]], "Thursday": [[540, 634], [664, 806], [886, 984], [1074, 1080]], "Friday": [[540, 555], [615, 628], [708, 748], [838, 971], [1061, 1080]]}, "constraint": ["timezone", 2]}}, "solution": {"max_duration": 5, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJulie Fox, Michael Gonzalez, Sean Torres, Edward Brown, Pamela Duncan work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Julie Fox's week in their local time is as follows:\nMonday: Booked at the following times: from 9:40 to 10:10, from 10:11 to 12:11, from 12:52 to 13:42, from 14:06 to 14:36, from 15:01 to 16:01, from 16:40 to 17:10\nTuesday: Booked at the following times: from 9:39 to 10:09, from 12:00 to 12:20, from 12:47 to 15:07, from 15:28 to 15:48, from 15:50 to 16:20\nWednesday: Free only at the following times: anytime before 9:37, from 11:27 to 12:25, from 13:25 to 13:28, from 14:38 to 14:48, from 15:38 to 17:10\nThursday: Booked at the following times: from 9:12 to 11:42, from 12:41 to 14:21, from 17:05 to 17:55\nFriday: Booked at the following times: from 9:47 to 10:37, from 11:06 to 12:16, from 12:55 to 14:45, from 17:24 to 17:54\n\nThe schedule for Michael Gonzalez's week in their local time is as follows:\nMonday: Booked at the following times: from 9:29 to 11:09, from 11:53 to 12:43, from 12:54 to 13:54, from 14:23 to 16:03, from 16:41 to 17:31\nTuesday: Booked at the following times: from 9:32 to 10:32, from 12:23 to 14:03, from 15:22 to 16:02, from 16:05 to 17:15\nWednesday: Booked at the following times: from 9:29 to 9:49, from 9:51 to 10:41, from 10:55 to 11:35, from 11:53 to 13:03, from 14:03 to 16:13\nThursday: Booked at the following times: from 9:08 to 9:48, from 10:23 to 11:03, from 11:53 to 12:23, from 12:35 to 12:55, from 13:04 to 15:34, from 16:09 to 16:39, from 16:58 to 17:38\nFriday: Booked at the following times: from 9:04 to 11:24, from 12:00 to 14:30, from 16:02 to 16:42\n\nThe schedule for Sean Torres's week in their local time is as follows:\nMonday: Booked at the following times: from 9:02 to 9:22, from 9:31 to 10:21, from 10:47 to 11:47, from 12:51 to 14:21, from 16:27 to 17:27\nTuesday: Booked at the following times: from 10:43 to 11:03, from 11:51 to 12:51, from 12:56 to 13:16, from 15:34 to 17:34\nWednesday: Booked at the following times: from 10:29 to 11:09, from 12:17 to 14:07, from 14:08 to 14:48, from 16:06 to 16:26\nThursday: Booked at the following times: from 9:19 to 9:59, from 11:19 to 12:19, from 12:32 to 13:12, from 13:27 to 14:17, from 15:00 to 15:50, from 16:22 to 17:02, from 17:05 to 17:25\nFriday: Booked at the following times: from 11:52 to 14:22, from 14:33 to 16:43\n\nThe schedule for Edward Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 10:53, from 11:32 to 13:02, from 13:47 to 14:07, from 14:12 to 15:12, from 16:06 to 16:36, from 17:19 to 17:59\nTuesday: Booked at the following times: from 9:04 to 9:24, from 9:50 to 11:50, from 12:00 to 14:00, from 15:42 to 16:22\nWednesday: Booked at the following times: from 9:11 to 10:01, from 11:02 to 12:42, from 13:21 to 13:51, from 14:29 to 15:49, from 16:07 to 17:17\nThursday: Booked at the following times: from 10:33 to 11:23, from 12:17 to 13:27, from 14:07 to 15:47, from 16:31 to 17:01\nFriday: Booked at the following times: from 10:44 to 12:54, from 15:08 to 17:18\n\nThe schedule for Pamela Duncan's week in their local time is as follows:\nMonday: Booked at the following times: from 10:33 to 12:53, from 13:18 to 15:28, from 16:02 to 17:22\nTuesday: Booked at the following times: from 11:23 to 13:43, from 14:02 to 14:42, from 16:22 to 17:32\nWednesday: Free only at the following times: anytime before 9:43, from 11:53 to 11:56, from 12:36 to 14:09, from 14:59 to 16:48, anytime after 17:38\nThursday: Booked at the following times: from 10:03 to 11:03, from 11:06 to 12:46, from 13:54 to 14:24, from 14:30 to 15:50, from 15:55 to 16:25\nFriday: Booked at the following times: from 11:00 to 13:10, from 14:16 to 15:46\n\nJulie Fox needs a break for lunch on Thursday from 11:48 to 12:18\nMichael Gonzalez is in a timezone that is 1 hour ahead of other participants\nSean Torres is in a timezone that is 2 hours ahead of other participants\nPamela Duncan can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Julie Fox": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[580, 610], [611, 731], [772, 822], [846, 876], [901, 961], [1000, 1030]], "Tuesday": [[579, 609], [720, 740], [767, 907], [928, 948], [950, 980]], "Wednesday": [[577, 687], [745, 805], [808, 878], [888, 938], [1030, 1080]], "Thursday": [[552, 702], [761, 861], [1025, 1075]], "Friday": [[587, 637], [666, 736], [775, 885], [1044, 1074]]}, "free_org": {"Monday": [[540, 580], [610, 611], [731, 772], [822, 846], [876, 901], [961, 1000], [1030, 1080]], "Tuesday": [[540, 579], [609, 720], [740, 767], [907, 928], [948, 950], [980, 1080]], "Wednesday": [[540, 577], [687, 745], [805, 808], [878, 888], [938, 1030]], "Thursday": [[540, 552], [702, 761], [861, 1025], [1075, 1080]], "Friday": [[540, 587], [637, 666], [736, 775], [885, 1044], [1074, 1080]]}, "constraint": ["lunch", ["Thursday", [708, 738]]]}, "Michael Gonzalez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[569, 669], [713, 763], [774, 834], [863, 963], [1001, 1051]], "Tuesday": [[572, 632], [743, 843], [922, 962], [965, 1035]], "Wednesday": [[569, 589], [591, 641], [655, 695], [713, 783], [843, 973]], "Thursday": [[548, 588], [623, 663], [713, 743], [755, 775], [784, 934], [969, 999], [1018, 1058]], "Friday": [[544, 684], [720, 870], [962, 1002]]}, "free_org": {"Monday": [[540, 569], [669, 713], [763, 774], [834, 863], [963, 1001], [1051, 1080]], "Tuesday": [[540, 572], [632, 743], [843, 922], [962, 965], [1035, 1080]], "Wednesday": [[540, 569], [589, 591], [641, 655], [695, 713], [783, 843], [973, 1080]], "Thursday": [[540, 548], [588, 623], [663, 713], [743, 755], [775, 784], [934, 969], [999, 1018], [1058, 1080]], "Friday": [[540, 544], [684, 720], [870, 962], [1002, 1080]]}, "constraint": ["timezone", 1]}, "Sean Torres": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[542, 562], [571, 621], [647, 707], [771, 861], [987, 1047]], "Tuesday": [[643, 663], [711, 771], [776, 796], [934, 1054]], "Wednesday": [[629, 669], [737, 847], [848, 888], [966, 986]], "Thursday": [[559, 599], [679, 739], [752, 792], [807, 857], [900, 950], [982, 1022], [1025, 1045]], "Friday": [[712, 862], [873, 1003]]}, "free_org": {"Monday": [[540, 542], [562, 571], [621, 647], [707, 771], [861, 987], [1047, 1080]], "Tuesday": [[540, 643], [663, 711], [771, 776], [796, 934], [1054, 1080]], "Wednesday": [[540, 629], [669, 737], [847, 848], [888, 966], [986, 1080]], "Thursday": [[540, 559], [599, 679], [739, 752], [792, 807], [857, 900], [950, 982], [1022, 1025], [1045, 1080]], "Friday": [[540, 712], [862, 873], [1003, 1080]]}, "constraint": ["timezone", 2]}, "Edward Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 653], [692, 782], [827, 847], [852, 912], [966, 996], [1039, 1079]], "Tuesday": [[544, 564], [590, 710], [720, 840], [942, 982]], "Wednesday": [[551, 601], [662, 762], [801, 831], [869, 949], [967, 1037]], "Thursday": [[633, 683], [737, 807], [847, 947], [991, 1021]], "Friday": [[644, 774], [908, 1038]]}, "free_org": {"Monday": [[540, 573], [653, 692], [782, 827], [847, 852], [912, 966], [996, 1039], [1079, 1080]], "Tuesday": [[540, 544], [564, 590], [710, 720], [840, 942], [982, 1080]], "Wednesday": [[540, 551], [601, 662], [762, 801], [831, 869], [949, 967], [1037, 1080]], "Thursday": [[540, 633], [683, 737], [807, 847], [947, 991], [1021, 1080]], "Friday": [[540, 644], [774, 908], [1038, 1080]]}, "constraint": ["none", null]}, "Pamela Duncan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[633, 773], [798, 928], [962, 1042]], "Tuesday": [[683, 823], [842, 882], [982, 1052]], "Wednesday": [[583, 713], [716, 756], [849, 879], [879, 899], [1008, 1058]], "Thursday": [[603, 663], [666, 766], [834, 864], [870, 950], [955, 985]], "Friday": [[660, 790], [856, 946]]}, "free_org": {"Monday": [[540, 633], [773, 798], [928, 962], [1042, 1080]], "Tuesday": [[540, 683], [823, 842], [882, 982], [1052, 1080]], "Wednesday": [[540, 583], [713, 716], [756, 849], [899, 1008], [1058, 1080]], "Thursday": [[540, 603], [663, 666], [766, 834], [864, 870], [950, 955], [985, 1080]], "Friday": [[540, 660], [790, 856], [946, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 12, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDaniel Jackson, Charles Morris, Joe Baxter, Jenna Barber, Charles Lee work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Daniel Jackson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:09 to 11:19, from 11:21 to 11:51, from 12:11 to 13:11, from 15:26 to 16:36\nTuesday: Booked at the following times: from 9:37 to 11:07, from 12:37 to 13:07, from 13:45 to 14:05, from 16:27 to 17:37\nWednesday: Booked at the following times: from 9:39 to 12:09, from 12:47 to 13:17, from 13:38 to 14:08, from 15:22 to 17:22\nThursday: Booked at the following times: from 9:01 to 9:31, from 9:43 to 11:13, from 12:56 to 14:16, from 14:22 to 15:22\nFriday: Booked at the following times: from 9:22 to 9:42, from 9:54 to 10:34, from 12:33 to 14:33, from 15:00 to 15:30, from 15:42 to 17:22, from 17:26 to 17:56\n\nThe schedule for Charles Morris's week in their local time is as follows:\nMonday: Free only at the following times: from 10:30 to 12:27, from 12:47 to 13:18, from 14:58 to 15:23, anytime after 17:23\nTuesday: Booked at the following times: from 10:38 to 13:08, from 15:40 to 17:20\nWednesday: Booked at the following times: from 9:18 to 9:58, from 12:04 to 13:14, from 15:34 to 17:24\nThursday: Booked at the following times: from 9:18 to 9:58, from 11:25 to 13:45, from 14:55 to 15:15, from 15:34 to 16:04, from 16:41 to 17:21\nFriday: Booked at the following times: from 9:15 to 10:05, from 10:41 to 11:21, from 13:16 to 14:26, from 15:52 to 17:52\n\nThe schedule for Joe Baxter's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 10:13, from 11:03 to 12:27, from 13:17 to 14:35, from 15:25 to 15:26, from 16:06 to 16:10\nTuesday: Booked at the following times: from 10:31 to 12:21, from 13:20 to 15:30\nWednesday: Booked at the following times: from 10:31 to 12:51, from 14:11 to 15:41\nThursday: Booked at the following times: from 10:20 to 12:20, from 13:53 to 15:03, from 16:43 to 17:53\nFriday: Booked at the following times: from 11:42 to 12:42, from 13:29 to 15:29, from 16:24 to 17:24\n\nThe schedule for Jenna Barber's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 11:34, from 12:53 to 14:23, from 14:25 to 14:55\nTuesday: Booked at the following times: from 11:09 to 12:29, from 13:24 to 14:24, from 15:29 to 16:39\nWednesday: Booked at the following times: from 9:10 to 9:30, from 9:45 to 11:05, from 11:07 to 12:07, from 12:55 to 14:25, from 14:48 to 15:08, from 15:15 to 16:05, from 16:15 to 17:05\nThursday: Booked at the following times: from 11:21 to 11:51, from 12:59 to 14:49, from 15:20 to 17:50\nFriday: Booked at the following times: from 10:42 to 12:32, from 14:23 to 16:03\n\nThe schedule for Charles Lee's week in their local time is as follows:\nMonday: Booked at the following times: from 9:22 to 11:22, from 12:17 to 13:37\nTuesday: Booked at the following times: from 9:11 to 10:21, from 10:36 to 11:16, from 13:09 to 13:39, from 14:01 to 16:11, from 17:15 to 17:55\nWednesday: Booked at the following times: from 10:37 to 12:27, from 12:58 to 15:18, from 15:23 to 15:53\nThursday: Booked at the following times: from 9:55 to 10:45, from 10:56 to 11:46, from 12:47 to 13:27, from 13:35 to 15:15, from 15:18 to 15:48, from 16:07 to 16:27, from 16:59 to 17:39\nFriday: Booked at the following times: from 9:55 to 10:25, from 11:54 to 14:24, from 14:47 to 16:47\n\nDaniel Jackson can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nCharles Morris is in a timezone that is 1 hour ahead of other participants\nJoe Baxter is in a timezone that is 3 hours ahead of other participants\nJenna Barber needs a break for lunch on Wednesday from 12:21 to 12:51\nCharles Lee is in a timezone that is 1 hour ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Daniel Jackson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[609, 679], [681, 711], [731, 791], [926, 996]], "Tuesday": [[577, 667], [757, 787], [825, 845], [987, 1057]], "Wednesday": [[579, 729], [767, 797], [818, 848], [922, 1042]], "Thursday": [[541, 571], [583, 673], [776, 856], [862, 922]], "Friday": [[562, 582], [594, 634], [753, 873], [900, 930], [942, 1042], [1046, 1076]]}, "free_org": {"Monday": [[540, 609], [679, 681], [711, 731], [791, 926], [996, 1080]], "Tuesday": [[540, 577], [667, 757], [787, 825], [845, 987], [1057, 1080]], "Wednesday": [[540, 579], [729, 767], [797, 818], [848, 922], [1042, 1080]], "Thursday": [[540, 541], [571, 583], [673, 776], [856, 862], [922, 1080]], "Friday": [[540, 562], [582, 594], [634, 753], [873, 900], [930, 942], [1042, 1046], [1076, 1080]]}, "constraint": ["conflict", 40]}, "Charles Morris": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 630], [747, 767], [798, 898], [923, 1043]], "Tuesday": [[638, 788], [940, 1040]], "Wednesday": [[558, 598], [724, 794], [934, 1044]], "Thursday": [[558, 598], [685, 825], [895, 915], [934, 964], [1001, 1041]], "Friday": [[555, 605], [641, 681], [796, 866], [952, 1072]]}, "free_org": {"Monday": [[630, 747], [767, 798], [898, 923], [1043, 1080]], "Tuesday": [[540, 638], [788, 940], [1040, 1080]], "Wednesday": [[540, 558], [598, 724], [794, 934], [1044, 1080]], "Thursday": [[540, 558], [598, 685], [825, 895], [915, 934], [964, 1001], [1041, 1080]], "Friday": [[540, 555], [605, 641], [681, 796], [866, 952], [1072, 1080]]}, "constraint": ["timezone", 1]}, "Joe Baxter": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[613, 663], [747, 797], [875, 925], [926, 966], [970, 1080]], "Tuesday": [[631, 741], [800, 930]], "Wednesday": [[631, 771], [851, 941]], "Thursday": [[620, 740], [833, 903], [1003, 1073]], "Friday": [[702, 762], [809, 929], [984, 1044]]}, "free_org": {"Monday": [[540, 613], [663, 747], [797, 875], [925, 926], [966, 970]], "Tuesday": [[540, 631], [741, 800], [930, 1080]], "Wednesday": [[540, 631], [771, 851], [941, 1080]], "Thursday": [[540, 620], [740, 833], [903, 1003], [1073, 1080]], "Friday": [[540, 702], [762, 809], [929, 984], [1044, 1080]]}, "constraint": ["timezone", 3]}, "Jenna Barber": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 694], [773, 863], [865, 895]], "Tuesday": [[669, 749], [804, 864], [929, 999]], "Wednesday": [[550, 570], [585, 665], [667, 727], [775, 865], [888, 908], [915, 965], [975, 1025]], "Thursday": [[681, 711], [779, 889], [920, 1070]], "Friday": [[642, 752], [863, 963]]}, "free_org": {"Monday": [[540, 574], [694, 773], [863, 865], [895, 1080]], "Tuesday": [[540, 669], [749, 804], [864, 929], [999, 1080]], "Wednesday": [[540, 550], [570, 585], [665, 667], [727, 775], [865, 888], [908, 915], [965, 975], [1025, 1080]], "Thursday": [[540, 681], [711, 779], [889, 920], [1070, 1080]], "Friday": [[540, 642], [752, 863], [963, 1080]]}, "constraint": ["lunch", ["Wednesday", [741, 771]]]}, "Charles Lee": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[562, 682], [737, 817]], "Tuesday": [[551, 621], [636, 676], [789, 819], [841, 971], [1035, 1075]], "Wednesday": [[637, 747], [778, 918], [923, 953]], "Thursday": [[595, 645], [656, 706], [767, 807], [815, 915], [918, 948], [967, 987], [1019, 1059]], "Friday": [[595, 625], [714, 864], [887, 1007]]}, "free_org": {"Monday": [[540, 562], [682, 737], [817, 1080]], "Tuesday": [[540, 551], [621, 636], [676, 789], [819, 841], [971, 1035], [1075, 1080]], "Wednesday": [[540, 637], [747, 778], [918, 923], [953, 1080]], "Thursday": [[540, 595], [645, 656], [706, 767], [807, 815], [915, 918], [948, 967], [987, 1019], [1059, 1080]], "Friday": [[540, 595], [625, 714], [864, 887], [1007, 1080]]}, "constraint": ["timezone", 1]}}, "solution": {"max_duration": 22, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nRickey Bailey, Matthew Collins, April Decker, William Mason, Dr. Connor Smith work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Rickey Bailey's week in their local time is as follows:\nMonday: Booked at the following times: from 9:04 to 10:24, from 11:34 to 12:04, from 12:12 to 12:42, from 15:06 to 16:26\nTuesday: Booked at the following times: from 9:04 to 9:34, from 9:47 to 10:17, from 11:09 to 12:09, from 12:59 to 14:19, from 14:30 to 16:10\nWednesday: Free only at the following times: anytime before 9:47, from 10:27 to 10:45, from 11:45 to 12:02, from 12:22 to 13:29, from 14:59 to 15:27, from 15:47 to 16:18, from 16:38 to 16:42, anytime after 17:52\nThursday: Booked at the following times: from 9:31 to 11:51, from 13:31 to 14:01, from 14:32 to 16:42, from 16:44 to 17:54\nFriday: Booked at the following times: from 9:53 to 12:23, from 13:47 to 14:17, from 15:44 to 17:34\n\nThe schedule for Matthew Collins's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:47, from 10:07 to 10:25, from 12:45 to 16:50\nTuesday: Booked at the following times: from 11:44 to 12:54, from 14:14 to 14:54, from 14:57 to 16:27, from 16:32 to 17:32\nWednesday: Booked at the following times: from 9:02 to 9:42, from 11:26 to 13:46, from 13:49 to 15:49\nThursday: Booked at the following times: from 11:57 to 12:37, from 13:11 to 14:51, from 15:27 to 16:37\nFriday: Free only at the following times: anytime before 9:24, from 10:04 to 11:09, from 11:29 to 11:56, from 12:36 to 13:40, from 16:00 to 16:26, anytime after 16:46\n\nThe schedule for April Decker's week in their local time is as follows:\nMonday: Booked at the following times: from 9:18 to 10:08, from 10:44 to 11:54, from 13:07 to 13:27, from 13:29 to 13:59, from 14:05 to 14:55, from 15:13 to 17:13\nTuesday: Booked at the following times: from 9:29 to 10:19, from 11:38 to 12:28, from 12:34 to 14:14, from 15:49 to 16:29\nWednesday: Booked at the following times: from 9:07 to 9:27, from 10:28 to 11:18, from 13:17 to 14:27, from 14:39 to 14:59, from 15:40 to 17:20\nThursday: Booked at the following times: from 10:48 to 12:58, from 13:27 to 14:57, from 16:40 to 17:40\nFriday: Free only at the following times: anytime before 9:22, from 9:42 to 10:16, from 12:06 to 12:22, from 13:02 to 13:13, from 14:23 to 14:49, from 16:09 to 17:07, anytime after 17:37\n\nThe schedule for William Mason's week in their local time is as follows:\nMonday: Booked at the following times: from 9:58 to 11:38, from 11:48 to 14:18, from 14:50 to 15:40, from 15:58 to 16:18\nTuesday: Booked at the following times: from 10:05 to 10:45, from 12:04 to 12:24, from 13:28 to 14:08, from 14:24 to 15:44, from 15:56 to 16:56\nWednesday: Booked at the following times: from 12:03 to 13:43, from 14:12 to 16:32, from 17:03 to 17:43\nThursday: Booked at the following times: from 10:18 to 11:58, from 11:59 to 12:39, from 16:01 to 17:31\nFriday: Booked at the following times: from 9:05 to 11:05, from 12:13 to 14:23\n\nThe schedule for Dr. Connor Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 10:00 to 11:20, from 14:32 to 16:02, from 16:43 to 17:43\nTuesday: Booked at the following times: from 9:10 to 10:30, from 11:42 to 12:32, from 13:12 to 13:42, from 15:28 to 15:48, from 16:11 to 16:31\nWednesday: Booked at the following times: from 10:59 to 11:39, from 11:50 to 12:10, from 13:24 to 13:44, from 14:16 to 16:36, from 17:22 to 17:42\nThursday: Booked at the following times: from 10:45 to 11:45, from 12:31 to 13:01, from 13:13 to 15:03\nFriday: Booked at the following times: from 9:02 to 9:42, from 11:28 to 12:38, from 12:43 to 14:13, from 16:25 to 16:45\n\nRickey Bailey needs a break for lunch on Monday from 11:04 to 11:34\nApril Decker needs a break for lunch on Tuesday from 11:01 to 11:31\nWilliam Mason can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Rickey Bailey": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[544, 624], [694, 724], [732, 762], [906, 986]], "Tuesday": [[544, 574], [587, 617], [669, 729], [779, 859], [870, 970]], "Wednesday": [[587, 627], [645, 705], [722, 742], [809, 879], [879, 899], [927, 947], [978, 998], [1002, 1072]], "Thursday": [[571, 711], [811, 841], [872, 1002], [1004, 1074]], "Friday": [[593, 743], [827, 857], [944, 1054]]}, "free_org": {"Monday": [[540, 544], [624, 694], [724, 732], [762, 906], [986, 1080]], "Tuesday": [[540, 544], [574, 587], [617, 669], [729, 779], [859, 870], [970, 1080]], "Wednesday": [[540, 587], [627, 645], [705, 722], [742, 809], [899, 927], [947, 978], [998, 1002], [1072, 1080]], "Thursday": [[540, 571], [711, 811], [841, 872], [1002, 1004], [1074, 1080]], "Friday": [[540, 593], [743, 827], [857, 944], [1054, 1080]]}, "constraint": ["lunch", ["Monday", [664, 694]]]}, "Matthew Collins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[587, 607], [625, 765], [1010, 1080]], "Tuesday": [[704, 774], [854, 894], [897, 987], [992, 1052]], "Wednesday": [[542, 582], [686, 826], [829, 949]], "Thursday": [[717, 757], [791, 891], [927, 997]], "Friday": [[564, 604], [669, 689], [716, 736], [736, 756], [820, 960], [986, 1006]]}, "free_org": {"Monday": [[540, 587], [607, 625], [765, 1010]], "Tuesday": [[540, 704], [774, 854], [894, 897], [987, 992], [1052, 1080]], "Wednesday": [[540, 542], [582, 686], [826, 829], [949, 1080]], "Thursday": [[540, 717], [757, 791], [891, 927], [997, 1080]], "Friday": [[540, 564], [604, 669], [689, 716], [756, 820], [960, 986], [1006, 1080]]}, "constraint": ["none", null]}, "April Decker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[558, 608], [644, 714], [787, 807], [809, 839], [845, 895], [913, 1033]], "Tuesday": [[569, 619], [698, 748], [754, 854], [949, 989]], "Wednesday": [[547, 567], [628, 678], [797, 867], [879, 899], [940, 1040]], "Thursday": [[648, 778], [807, 897], [1000, 1060]], "Friday": [[562, 582], [616, 646], [646, 726], [742, 782], [793, 863], [889, 969], [1027, 1057]]}, "free_org": {"Monday": [[540, 558], [608, 644], [714, 787], [807, 809], [839, 845], [895, 913], [1033, 1080]], "Tuesday": [[540, 569], [619, 698], [748, 754], [854, 949], [989, 1080]], "Wednesday": [[540, 547], [567, 628], [678, 797], [867, 879], [899, 940], [1040, 1080]], "Thursday": [[540, 648], [778, 807], [897, 1000], [1060, 1080]], "Friday": [[540, 562], [582, 616], [726, 742], [782, 793], [863, 889], [969, 1027], [1057, 1080]]}, "constraint": ["lunch", ["Tuesday", [661, 691]]]}, "William Mason": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[598, 698], [708, 858], [890, 940], [958, 978]], "Tuesday": [[605, 645], [724, 744], [808, 848], [864, 944], [956, 1016]], "Wednesday": [[723, 823], [852, 992], [1023, 1063]], "Thursday": [[618, 718], [719, 759], [961, 1051]], "Friday": [[545, 665], [733, 863]]}, "free_org": {"Monday": [[540, 598], [698, 708], [858, 890], [940, 958], [978, 1080]], "Tuesday": [[540, 605], [645, 724], [744, 808], [848, 864], [944, 956], [1016, 1080]], "Wednesday": [[540, 723], [823, 852], [992, 1023], [1063, 1080]], "Thursday": [[540, 618], [718, 719], [759, 961], [1051, 1080]], "Friday": [[540, 545], [665, 733], [863, 1080]]}, "constraint": ["conflict", 60]}, "Dr. Connor Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[600, 680], [872, 962], [1003, 1063]], "Tuesday": [[550, 630], [702, 752], [792, 822], [928, 948], [971, 991]], "Wednesday": [[659, 699], [710, 730], [804, 824], [856, 996], [1042, 1062]], "Thursday": [[645, 705], [751, 781], [793, 903]], "Friday": [[542, 582], [688, 758], [763, 853], [985, 1005]]}, "free_org": {"Monday": [[540, 600], [680, 872], [962, 1003], [1063, 1080]], "Tuesday": [[540, 550], [630, 702], [752, 792], [822, 928], [948, 971], [991, 1080]], "Wednesday": [[540, 659], [699, 710], [730, 804], [824, 856], [996, 1042], [1062, 1080]], "Thursday": [[540, 645], [705, 751], [781, 793], [903, 1080]], "Friday": [[540, 542], [582, 688], [758, 763], [853, 985], [1005, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 31, "count": 2}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nKari Willis, Joshua Blake, Randy Larson, Arthur Acosta, Colton Turner work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Kari Willis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:25 to 10:25, from 10:30 to 11:50, from 12:17 to 13:47\nTuesday: Free only at the following times: from 10:30 to 11:31, from 11:51 to 13:18, anytime after 15:28\nWednesday: Booked at the following times: from 9:21 to 10:01, from 10:43 to 12:43, from 13:38 to 15:48, from 15:49 to 16:19\nThursday: Booked at the following times: from 9:01 to 10:41, from 10:42 to 12:32, from 13:45 to 15:55\nFriday: Free only at the following times: anytime before 9:33, from 10:03 to 10:55, from 11:45 to 11:49, from 12:09 to 12:33, from 13:23 to 13:28, from 14:08 to 14:56, anytime after 16:26\n\nThe schedule for Joshua Blake's week in their local time is as follows:\nMonday: Booked at the following times: from 9:24 to 10:44, from 13:33 to 15:13, from 15:37 to 16:27\nTuesday: Booked at the following times: from 12:22 to 13:32, from 13:53 to 16:13\nWednesday: Booked at the following times: from 9:51 to 10:51, from 13:15 to 14:55, from 15:10 to 16:10\nThursday: Booked at the following times: from 10:34 to 13:04, from 14:31 to 15:11\nFriday: Free only at the following times: anytime before 10:10, from 11:20 to 12:21, from 13:01 to 13:17, from 13:47 to 14:04, from 15:14 to 15:47, from 16:17 to 16:20, anytime after 16:50\n\nThe schedule for Randy Larson's week in their local time is as follows:\nMonday: Free only at the following times: from 9:50 to 10:00, from 11:50 to 13:30, anytime after 15:00\nTuesday: Booked at the following times: from 11:25 to 13:25, from 14:18 to 14:38, from 14:57 to 16:37, from 16:48 to 17:58\nWednesday: Booked at the following times: from 9:07 to 9:27, from 10:15 to 12:05, from 12:26 to 12:56, from 14:38 to 16:18, from 16:40 to 17:40\nThursday: Booked at the following times: from 9:13 to 11:23, from 11:30 to 12:10, from 12:57 to 13:17, from 13:18 to 14:18\nFriday: Booked at the following times: from 9:12 to 10:02, from 10:27 to 12:07, from 13:14 to 14:44, from 15:36 to 16:36, from 17:03 to 17:33\n\nThe schedule for Arthur Acosta's week in their local time is as follows:\nMonday: Booked at the following times: from 9:24 to 10:34, from 11:30 to 12:40, from 14:03 to 15:33, from 16:01 to 17:41\nTuesday: Booked at the following times: from 9:39 to 11:09, from 11:43 to 12:03, from 12:10 to 13:50, from 14:08 to 14:38, from 16:02 to 17:32\nWednesday: Booked at the following times: from 10:10 to 10:50, from 11:22 to 12:42, from 12:45 to 14:45, from 15:40 to 16:20\nThursday: Booked at the following times: from 9:39 to 10:39, from 10:40 to 11:40, from 11:48 to 12:48, from 13:30 to 14:10, from 15:00 to 15:20, from 15:43 to 16:03, from 16:11 to 16:41\nFriday: Booked at the following times: from 9:08 to 9:58, from 12:32 to 13:32, from 14:14 to 14:54, from 15:04 to 17:14, from 17:23 to 17:53\n\nThe schedule for Colton Turner's week in their local time is as follows:\nMonday: Booked at the following times: from 9:37 to 10:57, from 11:43 to 12:33, from 13:06 to 15:16, from 15:57 to 17:07\nTuesday: Booked at the following times: from 10:32 to 11:32, from 12:15 to 13:15, from 13:36 to 14:46, from 15:13 to 17:43\nWednesday: Booked at the following times: from 9:27 to 11:57, from 13:24 to 14:14\nThursday: Booked at the following times: from 10:11 to 11:01, from 13:44 to 14:14, from 14:53 to 17:23\nFriday: Booked at the following times: from 11:02 to 12:32, from 12:36 to 14:26, from 15:23 to 17:03\n\nKari Willis can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nRandy Larson requires 10 minutes free before and after the meeting\nArthur Acosta can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Kari Willis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[565, 625], [630, 710], [737, 827]], "Tuesday": [[540, 630], [691, 711], [798, 928]], "Wednesday": [[561, 601], [643, 763], [818, 948], [949, 979]], "Thursday": [[541, 641], [642, 752], [825, 955]], "Friday": [[573, 603], [655, 705], [709, 729], [753, 803], [808, 848], [896, 916], [916, 986]]}, "free_org": {"Monday": [[540, 565], [625, 630], [710, 737], [827, 1080]], "Tuesday": [[630, 691], [711, 798], [928, 1080]], "Wednesday": [[540, 561], [601, 643], [763, 818], [948, 949], [979, 1080]], "Thursday": [[540, 541], [641, 642], [752, 825], [955, 1080]], "Friday": [[540, 573], [603, 655], [705, 709], [729, 753], [803, 808], [848, 896], [986, 1080]]}, "constraint": ["conflict", 20]}, "Joshua Blake": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[564, 644], [813, 913], [937, 987]], "Tuesday": [[742, 812], [833, 973]], "Wednesday": [[591, 651], [795, 895], [910, 970]], "Thursday": [[634, 784], [871, 911]], "Friday": [[610, 630], [630, 680], [741, 781], [797, 827], [844, 914], [947, 977], [980, 1010]]}, "free_org": {"Monday": [[540, 564], [644, 813], [913, 937], [987, 1080]], "Tuesday": [[540, 742], [812, 833], [973, 1080]], "Wednesday": [[540, 591], [651, 795], [895, 910], [970, 1080]], "Thursday": [[540, 634], [784, 871], [911, 1080]], "Friday": [[540, 610], [680, 741], [781, 797], [827, 844], [914, 947], [977, 980], [1010, 1080]]}, "constraint": ["none", null]}, "Randy Larson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[540, 590], [600, 710], [810, 900]], "Tuesday": [[685, 805], [858, 878], [897, 997], [1008, 1078]], "Wednesday": [[547, 567], [615, 725], [746, 776], [878, 978], [1000, 1060]], "Thursday": [[553, 683], [690, 730], [777, 797], [798, 858]], "Friday": [[552, 602], [627, 727], [794, 884], [936, 996], [1023, 1053]]}, "free_org": {"Monday": [[590, 600], [710, 810], [900, 1080]], "Tuesday": [[540, 685], [805, 858], [878, 897], [997, 1008], [1078, 1080]], "Wednesday": [[540, 547], [567, 615], [725, 746], [776, 878], [978, 1000], [1060, 1080]], "Thursday": [[540, 553], [683, 690], [730, 777], [797, 798], [858, 1080]], "Friday": [[540, 552], [602, 627], [727, 794], [884, 936], [996, 1023], [1053, 1080]]}, "constraint": ["buffer", 10]}, "Arthur Acosta": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[564, 634], [690, 760], [843, 933], [961, 1061]], "Tuesday": [[579, 669], [703, 723], [730, 830], [848, 878], [962, 1052]], "Wednesday": [[610, 650], [682, 762], [765, 885], [940, 980]], "Thursday": [[579, 639], [640, 700], [708, 768], [810, 850], [900, 920], [943, 963], [971, 1001]], "Friday": [[548, 598], [752, 812], [854, 894], [904, 1034], [1043, 1073]]}, "free_org": {"Monday": [[540, 564], [634, 690], [760, 843], [933, 961], [1061, 1080]], "Tuesday": [[540, 579], [669, 703], [723, 730], [830, 848], [878, 962], [1052, 1080]], "Wednesday": [[540, 610], [650, 682], [762, 765], [885, 940], [980, 1080]], "Thursday": [[540, 579], [639, 640], [700, 708], [768, 810], [850, 900], [920, 943], [963, 971], [1001, 1080]], "Friday": [[540, 548], [598, 752], [812, 854], [894, 904], [1034, 1043], [1073, 1080]]}, "constraint": ["conflict", 40]}, "Colton Turner": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[577, 657], [703, 753], [786, 916], [957, 1027]], "Tuesday": [[632, 692], [735, 795], [816, 886], [913, 1063]], "Wednesday": [[567, 717], [804, 854]], "Thursday": [[611, 661], [824, 854], [893, 1043]], "Friday": [[662, 752], [756, 866], [923, 1023]]}, "free_org": {"Monday": [[540, 577], [657, 703], [753, 786], [916, 957], [1027, 1080]], "Tuesday": [[540, 632], [692, 735], [795, 816], [886, 913], [1063, 1080]], "Wednesday": [[540, 567], [717, 804], [854, 1080]], "Thursday": [[540, 611], [661, 824], [854, 893], [1043, 1080]], "Friday": [[540, 662], [752, 756], [866, 923], [1023, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 27, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nWilliam Perkins, Denise Pierce, Samantha Lambert, Steven Brown, Charles Porter, Christy Shepherd work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for William Perkins's week in their local time is as follows:\nMonday: Booked at the following times: from 9:02 to 11:32, from 11:54 to 13:44, from 15:55 to 17:35\nTuesday: Booked at the following times: from 10:04 to 12:34, from 13:51 to 14:11, from 17:00 to 17:50\nWednesday: Booked at the following times: from 11:15 to 13:15, from 13:28 to 13:58, from 14:09 to 15:39, from 16:19 to 17:09\nThursday: Booked at the following times: from 9:56 to 11:16, from 13:10 to 14:10, from 15:27 to 16:27\nFriday: Booked at the following times: from 12:19 to 13:09, from 14:07 to 16:27, from 16:48 to 17:08\n\nThe schedule for Denise Pierce's week in their local time is as follows:\nMonday: Booked at the following times: from 11:04 to 12:44, from 13:28 to 14:08, from 15:28 to 16:38\nTuesday: Booked at the following times: from 13:20 to 15:10, from 15:51 to 17:21\nWednesday: Free only at the following times: anytime before 9:36, from 12:36 to 13:38, anytime after 16:08\nThursday: Booked at the following times: from 9:14 to 10:24, from 10:37 to 11:17, from 11:25 to 12:25, from 12:34 to 13:34, from 13:46 to 14:06, from 16:41 to 17:21\nFriday: Booked at the following times: from 11:06 to 11:26, from 11:34 to 12:54, from 13:15 to 13:45, from 14:29 to 16:59\n\nThe schedule for Samantha Lambert's week in their local time is as follows:\nMonday: Booked at the following times: from 11:43 to 12:43, from 14:03 to 16:33, from 17:27 to 17:47\nTuesday: Booked at the following times: from 9:21 to 10:31, from 10:46 to 12:56, from 14:23 to 15:43\nWednesday: Booked at the following times: from 9:57 to 12:07, from 14:13 to 16:23\nThursday: Booked at the following times: from 9:48 to 10:08, from 10:15 to 12:35, from 12:43 to 15:13\nFriday: Booked at the following times: from 9:37 to 9:57, from 10:11 to 10:31, from 11:15 to 12:05, from 12:06 to 13:36, from 14:14 to 15:04, from 15:50 to 16:30, from 16:52 to 17:52\n\nThe schedule for Steven Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:46 to 10:56, from 11:20 to 12:20, from 12:37 to 13:27, from 14:48 to 15:08, from 15:26 to 15:46, from 16:21 to 17:11, from 17:28 to 17:58\nTuesday: Booked at the following times: from 10:43 to 12:03, from 12:15 to 13:35, from 14:42 to 16:12\nWednesday: Booked at the following times: from 11:27 to 12:47, from 13:27 to 15:57\nThursday: Booked at the following times: from 9:41 to 11:21, from 11:46 to 13:06, from 13:24 to 14:04, from 14:59 to 15:39, from 16:09 to 16:39\nFriday: Booked at the following times: from 10:30 to 13:00, from 13:01 to 14:31, from 15:22 to 17:22\n\nThe schedule for Charles Porter's week in their local time is as follows:\nMonday: Booked at the following times: from 10:16 to 12:36, from 13:51 to 14:41, from 15:03 to 16:53\nTuesday: Booked at the following times: from 9:41 to 11:21, from 11:47 to 14:17, from 16:06 to 17:36\nWednesday: Booked at the following times: from 9:10 to 10:00, from 10:14 to 10:34, from 11:02 to 12:02, from 12:27 to 14:27, from 14:46 to 15:26, from 16:37 to 17:07\nThursday: Free only at the following times: anytime before 11:42, from 12:02 to 13:25, from 16:15 to 16:27, anytime after 17:57\nFriday: Booked at the following times: from 9:03 to 9:33, from 11:25 to 12:55, from 13:25 to 14:15, from 15:34 to 15:54, from 15:59 to 16:49\n\nThe schedule for Christy Shepherd's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:16, from 12:16 to 13:33, from 14:03 to 14:36, from 15:36 to 16:07, anytime after 17:27\nTuesday: Booked at the following times: from 9:18 to 9:58, from 12:22 to 12:52, from 13:06 to 13:46, from 14:07 to 15:47, from 16:55 to 17:15\nWednesday: Booked at the following times: from 9:08 to 9:58, from 11:20 to 12:40, from 13:29 to 13:59, from 14:08 to 16:38\nThursday: Booked at the following times: from 9:01 to 11:01, from 11:19 to 11:39, from 12:15 to 14:15, from 14:48 to 16:18, from 17:14 to 17:34, from 17:38 to 17:58\nFriday: Booked at the following times: from 11:30 to 12:10, from 12:37 to 13:17, from 15:57 to 17:57\n\nWilliam Perkins can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nDenise Pierce is in a timezone that is 1 hour ahead of other participants\nSamantha Lambert requires 15 minutes free before and after the meeting\nCharles Porter can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"William Perkins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[542, 692], [714, 824], [955, 1055]], "Tuesday": [[604, 754], [831, 851], [1020, 1070]], "Wednesday": [[675, 795], [808, 838], [849, 939], [979, 1029]], "Thursday": [[596, 676], [790, 850], [927, 987]], "Friday": [[739, 789], [847, 987], [1008, 1028]]}, "free_org": {"Monday": [[540, 542], [692, 714], [824, 955], [1055, 1080]], "Tuesday": [[540, 604], [754, 831], [851, 1020], [1070, 1080]], "Wednesday": [[540, 675], [795, 808], [838, 849], [939, 979], [1029, 1080]], "Thursday": [[540, 596], [676, 790], [850, 927], [987, 1080]], "Friday": [[540, 739], [789, 847], [987, 1008], [1028, 1080]]}, "constraint": ["conflict", 60]}, "Denise Pierce": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[664, 764], [808, 848], [928, 998]], "Tuesday": [[800, 910], [951, 1041]], "Wednesday": [[576, 686], [686, 756], [818, 968]], "Thursday": [[554, 624], [637, 677], [685, 745], [754, 814], [826, 846], [1001, 1041]], "Friday": [[666, 686], [694, 774], [795, 825], [869, 1019]]}, "free_org": {"Monday": [[540, 664], [764, 808], [848, 928], [998, 1080]], "Tuesday": [[540, 800], [910, 951], [1041, 1080]], "Wednesday": [[540, 576], [756, 818], [968, 1080]], "Thursday": [[540, 554], [624, 637], [677, 685], [745, 754], [814, 826], [846, 1001], [1041, 1080]], "Friday": [[540, 666], [686, 694], [774, 795], [825, 869], [1019, 1080]]}, "constraint": ["timezone", 1]}, "Samantha Lambert": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[703, 763], [843, 993], [1047, 1067]], "Tuesday": [[561, 631], [646, 776], [863, 943]], "Wednesday": [[597, 727], [853, 983]], "Thursday": [[588, 608], [615, 755], [763, 913]], "Friday": [[577, 597], [611, 631], [675, 725], [726, 816], [854, 904], [950, 990], [1012, 1072]]}, "free_org": {"Monday": [[540, 703], [763, 843], [993, 1047], [1067, 1080]], "Tuesday": [[540, 561], [631, 646], [776, 863], [943, 1080]], "Wednesday": [[540, 597], [727, 853], [983, 1080]], "Thursday": [[540, 588], [608, 615], [755, 763], [913, 1080]], "Friday": [[540, 577], [597, 611], [631, 675], [725, 726], [816, 854], [904, 950], [990, 1012], [1072, 1080]]}, "constraint": ["buffer", 15]}, "Steven Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[586, 656], [680, 740], [757, 807], [888, 908], [926, 946], [981, 1031], [1048, 1078]], "Tuesday": [[643, 723], [735, 815], [882, 972]], "Wednesday": [[687, 767], [807, 957]], "Thursday": [[581, 681], [706, 786], [804, 844], [899, 939], [969, 999]], "Friday": [[630, 780], [781, 871], [922, 1042]]}, "free_org": {"Monday": [[540, 586], [656, 680], [740, 757], [807, 888], [908, 926], [946, 981], [1031, 1048], [1078, 1080]], "Tuesday": [[540, 643], [723, 735], [815, 882], [972, 1080]], "Wednesday": [[540, 687], [767, 807], [957, 1080]], "Thursday": [[540, 581], [681, 706], [786, 804], [844, 899], [939, 969], [999, 1080]], "Friday": [[540, 630], [780, 781], [871, 922], [1042, 1080]]}, "constraint": ["none", null]}, "Charles Porter": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[616, 756], [831, 881], [903, 1013]], "Tuesday": [[581, 681], [707, 857], [966, 1056]], "Wednesday": [[550, 600], [614, 634], [662, 722], [747, 867], [886, 926], [997, 1027]], "Thursday": [[702, 722], [805, 925], [925, 975], [987, 1077]], "Friday": [[543, 573], [685, 775], [805, 855], [934, 954], [959, 1009]]}, "free_org": {"Monday": [[540, 616], [756, 831], [881, 903], [1013, 1080]], "Tuesday": [[540, 581], [681, 707], [857, 966], [1056, 1080]], "Wednesday": [[540, 550], [600, 614], [634, 662], [722, 747], [867, 886], [926, 997], [1027, 1080]], "Thursday": [[540, 702], [722, 805], [975, 987], [1077, 1080]], "Friday": [[540, 543], [573, 685], [775, 805], [855, 934], [954, 959], [1009, 1080]]}, "constraint": ["conflict", 40]}, "Christy Shepherd": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[556, 706], [706, 736], [813, 843], [876, 936], [967, 1047]], "Tuesday": [[558, 598], [742, 772], [786, 826], [847, 947], [1015, 1035]], "Wednesday": [[548, 598], [680, 760], [809, 839], [848, 998]], "Thursday": [[541, 661], [679, 699], [735, 855], [888, 978], [1034, 1054], [1058, 1078]], "Friday": [[690, 730], [757, 797], [957, 1077]]}, "free_org": {"Monday": [[540, 556], [736, 813], [843, 876], [936, 967], [1047, 1080]], "Tuesday": [[540, 558], [598, 742], [772, 786], [826, 847], [947, 1015], [1035, 1080]], "Wednesday": [[540, 548], [598, 680], [760, 809], [839, 848], [998, 1080]], "Thursday": [[540, 541], [661, 679], [699, 735], [855, 888], [978, 1034], [1054, 1058], [1078, 1080]], "Friday": [[540, 690], [730, 757], [797, 957], [1077, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 22, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nJames Marshall, Ronald Ortiz, Diana Wilson, Allison Baker work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for James Marshall's week in their local time is as follows:\nMonday: Booked at the following times: from 9:48 to 12:08, from 13:17 to 14:07, from 14:12 to 14:32, from 16:55 to 17:55\nTuesday: Booked at the following times: from 9:49 to 11:59, from 13:06 to 15:26, from 15:54 to 17:44\nWednesday: Booked at the following times: from 10:19 to 11:59, from 12:44 to 13:24, from 14:05 to 15:55\nThursday: Booked at the following times: from 9:49 to 11:19, from 11:30 to 11:50, from 12:49 to 13:29, from 13:57 to 14:47, from 16:17 to 17:27\nFriday: Booked at the following times: from 9:24 to 10:24, from 11:03 to 12:43, from 13:43 to 15:03, from 16:37 to 17:57\n\nThe schedule for Ronald Ortiz's week in their local time is as follows:\nMonday: Booked at the following times: from 10:05 to 12:15, from 12:30 to 13:00, from 13:52 to 15:12, from 15:20 to 15:40, from 15:53 to 17:03\nTuesday: Booked at the following times: from 11:04 to 12:24, from 13:01 to 13:31, from 15:26 to 17:06\nWednesday: Free only at the following times: anytime before 9:53, from 10:13 to 12:08, from 12:28 to 13:02, from 14:52 to 15:16, anytime after 17:56\nThursday: Free only at the following times: anytime before 10:05, from 12:25 to 17:08, anytime after 17:48\nFriday: Booked at the following times: from 12:14 to 12:34, from 14:25 to 15:05, from 15:24 to 17:44\n\nThe schedule for Diana Wilson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 10:39, from 10:44 to 11:44, from 12:11 to 14:01, from 16:26 to 17:46\nTuesday: Booked at the following times: from 10:59 to 12:39, from 13:49 to 16:19\nWednesday: Booked at the following times: from 14:03 to 14:43, from 15:29 to 17:39\nThursday: Free only at the following times: anytime before 9:45, from 10:05 to 10:37, from 11:07 to 11:12, from 11:32 to 11:40, from 12:00 to 12:04, from 12:44 to 13:59, anytime after 17:19\nFriday: Booked at the following times: from 11:12 to 11:32, from 12:28 to 13:08, from 14:06 to 16:06\n\nThe schedule for Allison Baker's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 9:39, from 10:23 to 11:33, from 11:34 to 13:24, from 16:06 to 16:56\nTuesday: Booked at the following times: from 11:52 to 14:22, from 14:39 to 16:49\nWednesday: Booked at the following times: from 10:20 to 12:00, from 12:03 to 13:13, from 15:03 to 15:23, from 15:48 to 16:28\nThursday: Booked at the following times: from 9:54 to 10:44, from 11:18 to 12:08, from 12:27 to 14:37, from 15:58 to 16:28\nFriday: Booked at the following times: from 9:20 to 9:40, from 9:41 to 10:41, from 13:00 to 13:30, from 13:55 to 14:25, from 16:02 to 17:52\n\nJames Marshall can clear any meeting of 60 minutes or less from their schedule to accommodate the meeting\nRonald Ortiz is in a timezone that is 1 hour behind of other participants\nDiana Wilson needs a break for lunch on Wednesday from 12:03 to 12:33\nAllison Baker is in a timezone that is 3 hours ahead of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"James Marshall": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[588, 728], [797, 847], [852, 872], [1015, 1075]], "Tuesday": [[589, 719], [786, 926], [954, 1064]], "Wednesday": [[619, 719], [764, 804], [845, 955]], "Thursday": [[589, 679], [690, 710], [769, 809], [837, 887], [977, 1047]], "Friday": [[564, 624], [663, 763], [823, 903], [997, 1077]]}, "free_org": {"Monday": [[540, 588], [728, 797], [847, 852], [872, 1015], [1075, 1080]], "Tuesday": [[540, 589], [719, 786], [926, 954], [1064, 1080]], "Wednesday": [[540, 619], [719, 764], [804, 845], [955, 1080]], "Thursday": [[540, 589], [679, 690], [710, 769], [809, 837], [887, 977], [1047, 1080]], "Friday": [[540, 564], [624, 663], [763, 823], [903, 997], [1077, 1080]]}, "constraint": ["conflict", 60]}, "Ronald Ortiz": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[605, 735], [750, 780], [832, 912], [920, 940], [953, 1023]], "Tuesday": [[664, 744], [781, 811], [926, 1026]], "Wednesday": [[593, 613], [728, 748], [782, 892], [916, 1046], [1046, 1076]], "Thursday": [[605, 655], [655, 745], [1028, 1068]], "Friday": [[734, 754], [865, 905], [924, 1064]]}, "free_org": {"Monday": [[540, 605], [735, 750], [780, 832], [912, 920], [940, 953], [1023, 1080]], "Tuesday": [[540, 664], [744, 781], [811, 926], [1026, 1080]], "Wednesday": [[540, 593], [613, 728], [748, 782], [892, 916], [1076, 1080]], "Thursday": [[540, 605], [745, 1028], [1068, 1080]], "Friday": [[540, 734], [754, 865], [905, 924], [1064, 1080]]}, "constraint": ["timezone", -1]}, "Diana Wilson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 639], [644, 704], [731, 841], [986, 1066]], "Tuesday": [[659, 759], [829, 979]], "Wednesday": [[843, 883], [929, 1059]], "Thursday": [[585, 605], [637, 667], [672, 692], [700, 720], [724, 764], [839, 969], [969, 1039]], "Friday": [[672, 692], [748, 788], [846, 966]]}, "free_org": {"Monday": [[540, 549], [639, 644], [704, 731], [841, 986], [1066, 1080]], "Tuesday": [[540, 659], [759, 829], [979, 1080]], "Wednesday": [[540, 843], [883, 929], [1059, 1080]], "Thursday": [[540, 585], [605, 637], [667, 672], [692, 700], [720, 724], [764, 839], [1039, 1080]], "Friday": [[540, 672], [692, 748], [788, 846], [966, 1080]]}, "constraint": ["lunch", ["Wednesday", [723, 753]]]}, "Allison Baker": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 579], [623, 693], [694, 804], [966, 1016]], "Tuesday": [[712, 862], [879, 1009]], "Wednesday": [[620, 720], [723, 793], [903, 923], [948, 988]], "Thursday": [[594, 644], [678, 728], [747, 877], [958, 988]], "Friday": [[560, 580], [581, 641], [780, 810], [835, 865], [962, 1072]]}, "free_org": {"Monday": [[540, 559], [579, 623], [693, 694], [804, 966], [1016, 1080]], "Tuesday": [[540, 712], [862, 879], [1009, 1080]], "Wednesday": [[540, 620], [720, 723], [793, 903], [923, 948], [988, 1080]], "Thursday": [[540, 594], [644, 678], [728, 747], [877, 958], [988, 1080]], "Friday": [[540, 560], [580, 581], [641, 780], [810, 835], [865, 962], [1072, 1080]]}, "constraint": ["timezone", 3]}}, "solution": {"max_duration": 51, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nMichael Morrow, Stephanie Choi, Benjamin Green, Austin Le, Lisa Moon work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Michael Morrow's week in their local time is as follows:\nMonday: Free only at the following times: anytime before 9:46, from 13:16 to 15:58, anytime after 17:58\nTuesday: Booked at the following times: from 10:40 to 11:40, from 13:14 to 14:54, from 15:05 to 17:35\nWednesday: Free only at the following times: anytime before 9:46, from 11:16 to 12:37, from 13:17 to 13:19, from 13:59 to 14:30, anytime after 17:00\nThursday: Booked at the following times: from 9:13 to 10:43, from 11:31 to 12:51, from 14:31 to 15:31, from 15:44 to 16:44, from 17:03 to 17:53\nFriday: Booked at the following times: from 10:24 to 12:14, from 12:38 to 14:28, from 14:38 to 15:28\n\nThe schedule for Stephanie Choi's week in their local time is as follows:\nMonday: Booked at the following times: from 10:39 to 12:29, from 12:36 to 12:56, from 14:12 to 16:42\nTuesday: Booked at the following times: from 9:04 to 9:54, from 11:52 to 12:12, from 12:35 to 13:25, from 13:50 to 15:00, from 15:02 to 16:32\nWednesday: Booked at the following times: from 9:09 to 10:09, from 10:34 to 11:04, from 11:09 to 12:49, from 14:33 to 15:43, from 15:45 to 16:45\nThursday: Booked at the following times: from 9:16 to 11:26, from 12:23 to 14:53\nFriday: Booked at the following times: from 9:29 to 10:19, from 10:57 to 11:37, from 11:49 to 12:29, from 13:37 to 14:37\n\nThe schedule for Benjamin Green's week in their local time is as follows:\nMonday: Booked at the following times: from 9:06 to 9:46, from 10:06 to 10:26, from 12:05 to 12:35, from 13:05 to 13:35, from 14:13 to 15:03, from 15:05 to 15:25, from 15:33 to 17:23\nTuesday: Booked at the following times: from 9:05 to 9:25, from 10:02 to 11:42, from 12:27 to 12:47, from 13:27 to 13:47, from 14:25 to 15:15, from 15:24 to 15:54, from 16:04 to 16:24, from 17:00 to 17:50\nWednesday: Booked at the following times: from 9:59 to 12:09, from 13:20 to 14:50, from 16:11 to 17:31\nThursday: Booked at the following times: from 9:24 to 9:54, from 11:56 to 12:16, from 12:22 to 14:32, from 16:04 to 16:44\nFriday: Booked at the following times: from 9:14 to 10:14, from 10:38 to 11:38, from 13:02 to 13:22, from 13:34 to 15:14, from 15:28 to 16:18, from 16:22 to 16:42, from 17:05 to 17:45\n\nThe schedule for Austin Le's week in their local time is as follows:\nMonday: Booked at the following times: from 9:13 to 9:33, from 9:55 to 10:55, from 11:10 to 12:10, from 14:26 to 14:56, from 15:29 to 16:29, from 16:42 to 17:22\nTuesday: Booked at the following times: from 9:46 to 11:26, from 11:29 to 12:19, from 14:09 to 14:39\nWednesday: Booked at the following times: from 9:43 to 10:13, from 10:19 to 10:59, from 11:20 to 11:50, from 12:53 to 13:43, from 13:58 to 14:28, from 14:41 to 15:31, from 15:51 to 16:11, from 16:28 to 16:58, from 16:59 to 17:19\nThursday: Booked at the following times: from 9:24 to 10:24, from 11:47 to 13:57, from 14:54 to 16:54\nFriday: Booked at the following times: from 9:37 to 10:07, from 10:45 to 11:05, from 11:25 to 12:45, from 13:11 to 13:31, from 13:39 to 15:19, from 15:58 to 17:28\n\nThe schedule for Lisa Moon's week in their local time is as follows:\nMonday: Booked at the following times: from 11:22 to 12:22, from 12:56 to 15:06, from 15:30 to 17:50\nTuesday: Booked at the following times: from 9:34 to 9:54, from 10:29 to 11:49, from 12:14 to 12:34, from 12:37 to 14:47, from 16:46 to 17:56\nWednesday: Booked at the following times: from 10:39 to 11:19, from 13:03 to 14:53, from 15:27 to 15:57, from 16:23 to 17:23\nThursday: Booked at the following times: from 10:11 to 11:21, from 11:49 to 12:59, from 13:30 to 16:00, from 17:24 to 17:44\nFriday: Booked at the following times: from 9:27 to 11:37, from 12:07 to 14:17, from 14:27 to 16:27, from 16:35 to 16:55\n\nMichael Morrow can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nStephanie Choi is in a timezone that is 2 hours behind of other participants\nBenjamin Green is in a timezone that is 1 hour behind of other participants\nLisa Moon is in a timezone that is 1 hour behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Michael Morrow": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[586, 656], [656, 796], [958, 1078]], "Tuesday": [[640, 700], [794, 894], [905, 1055]], "Wednesday": [[586, 676], [757, 797], [799, 839], [870, 940], [940, 1020]], "Thursday": [[553, 643], [691, 771], [871, 931], [944, 1004], [1023, 1073]], "Friday": [[624, 734], [758, 868], [878, 928]]}, "free_org": {"Monday": [[540, 586], [796, 958], [1078, 1080]], "Tuesday": [[540, 640], [700, 794], [894, 905], [1055, 1080]], "Wednesday": [[540, 586], [676, 757], [797, 799], [839, 870], [1020, 1080]], "Thursday": [[540, 553], [643, 691], [771, 871], [931, 944], [1004, 1023], [1073, 1080]], "Friday": [[540, 624], [734, 758], [868, 878], [928, 1080]]}, "constraint": ["conflict", 20]}, "Stephanie Choi": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[639, 749], [756, 776], [852, 1002]], "Tuesday": [[544, 594], [712, 732], [755, 805], [830, 900], [902, 992]], "Wednesday": [[549, 609], [634, 664], [669, 769], [873, 943], [945, 1005]], "Thursday": [[556, 686], [743, 893]], "Friday": [[569, 619], [657, 697], [709, 749], [817, 877]]}, "free_org": {"Monday": [[540, 639], [749, 756], [776, 852], [1002, 1080]], "Tuesday": [[540, 544], [594, 712], [732, 755], [805, 830], [900, 902], [992, 1080]], "Wednesday": [[540, 549], [609, 634], [664, 669], [769, 873], [943, 945], [1005, 1080]], "Thursday": [[540, 556], [686, 743], [893, 1080]], "Friday": [[540, 569], [619, 657], [697, 709], [749, 817], [877, 1080]]}, "constraint": ["timezone", -2]}, "Benjamin Green": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[546, 586], [606, 626], [725, 755], [785, 815], [853, 903], [905, 925], [933, 1043]], "Tuesday": [[545, 565], [602, 702], [747, 767], [807, 827], [865, 915], [924, 954], [964, 984], [1020, 1070]], "Wednesday": [[599, 729], [800, 890], [971, 1051]], "Thursday": [[564, 594], [716, 736], [742, 872], [964, 1004]], "Friday": [[554, 614], [638, 698], [782, 802], [814, 914], [928, 978], [982, 1002], [1025, 1065]]}, "free_org": {"Monday": [[540, 546], [586, 606], [626, 725], [755, 785], [815, 853], [903, 905], [925, 933], [1043, 1080]], "Tuesday": [[540, 545], [565, 602], [702, 747], [767, 807], [827, 865], [915, 924], [954, 964], [984, 1020], [1070, 1080]], "Wednesday": [[540, 599], [729, 800], [890, 971], [1051, 1080]], "Thursday": [[540, 564], [594, 716], [736, 742], [872, 964], [1004, 1080]], "Friday": [[540, 554], [614, 638], [698, 782], [802, 814], [914, 928], [978, 982], [1002, 1025], [1065, 1080]]}, "constraint": ["timezone", -1]}, "Austin Le": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[553, 573], [595, 655], [670, 730], [866, 896], [929, 989], [1002, 1042]], "Tuesday": [[586, 686], [689, 739], [849, 879]], "Wednesday": [[583, 613], [619, 659], [680, 710], [773, 823], [838, 868], [881, 931], [951, 971], [988, 1018], [1019, 1039]], "Thursday": [[564, 624], [707, 837], [894, 1014]], "Friday": [[577, 607], [645, 665], [685, 765], [791, 811], [819, 919], [958, 1048]]}, "free_org": {"Monday": [[540, 553], [573, 595], [655, 670], [730, 866], [896, 929], [989, 1002], [1042, 1080]], "Tuesday": [[540, 586], [686, 689], [739, 849], [879, 1080]], "Wednesday": [[540, 583], [613, 619], [659, 680], [710, 773], [823, 838], [868, 881], [931, 951], [971, 988], [1018, 1019], [1039, 1080]], "Thursday": [[540, 564], [624, 707], [837, 894], [1014, 1080]], "Friday": [[540, 577], [607, 645], [665, 685], [765, 791], [811, 819], [919, 958], [1048, 1080]]}, "constraint": ["none", null]}, "Lisa Moon": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[682, 742], [776, 906], [930, 1070]], "Tuesday": [[574, 594], [629, 709], [734, 754], [757, 887], [1006, 1076]], "Wednesday": [[639, 679], [783, 893], [927, 957], [983, 1043]], "Thursday": [[611, 681], [709, 779], [810, 960], [1044, 1064]], "Friday": [[567, 697], [727, 857], [867, 987], [995, 1015]]}, "free_org": {"Monday": [[540, 682], [742, 776], [906, 930], [1070, 1080]], "Tuesday": [[540, 574], [594, 629], [709, 734], [754, 757], [887, 1006], [1076, 1080]], "Wednesday": [[540, 639], [679, 783], [893, 927], [957, 983], [1043, 1080]], "Thursday": [[540, 611], [681, 709], [779, 810], [960, 1044], [1064, 1080]], "Friday": [[540, 567], [697, 727], [857, 867], [987, 995], [1015, 1080]]}, "constraint": ["timezone", -1]}}, "solution": {"max_duration": 25, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAmanda Garcia, Lisa Ramos, Anthony Carter, Calvin Erickson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Amanda Garcia's week in their local time is as follows:\nMonday: Booked at the following times: from 10:51 to 12:31, from 13:01 to 15:31, from 15:57 to 17:07\nTuesday: Free only at the following times: anytime before 9:59, from 11:39 to 11:48, from 13:48 to 15:41, from 16:01 to 16:13, from 16:33 to 17:20\nWednesday: Booked at the following times: from 10:04 to 12:14, from 13:52 to 15:02\nThursday: Booked at the following times: from 10:02 to 12:22, from 14:06 to 16:06, from 16:14 to 17:24\nFriday: Booked at the following times: from 9:02 to 10:22, from 10:35 to 11:15, from 13:14 to 13:34, from 13:51 to 16:11\n\nThe schedule for Lisa Ramos's week in their local time is as follows:\nMonday: Booked at the following times: from 9:37 to 10:47, from 12:35 to 14:25, from 14:49 to 16:59\nTuesday: Booked at the following times: from 11:23 to 13:53, from 14:18 to 14:48, from 14:50 to 17:20\nWednesday: Booked at the following times: from 9:55 to 11:25, from 13:16 to 14:46, from 15:49 to 17:09\nThursday: Booked at the following times: from 9:43 to 11:23, from 11:49 to 12:59, from 13:49 to 15:39, from 16:18 to 16:58\nFriday: Booked at the following times: from 9:23 to 10:33, from 13:49 to 16:09\n\nThe schedule for Anthony Carter's week in their local time is as follows:\nMonday: Booked at the following times: from 11:26 to 13:36, from 13:45 to 14:25\nTuesday: Booked at the following times: from 9:23 to 10:23, from 10:41 to 12:41, from 17:09 to 17:29\nWednesday: Booked at the following times: from 9:07 to 9:57, from 11:20 to 13:30, from 15:06 to 15:36, from 16:54 to 17:24\nThursday: Free only at the following times: from 9:40 to 9:58, from 10:28 to 10:51, from 11:21 to 12:30, from 12:50 to 13:45, from 14:05 to 14:50, from 15:50 to 15:53, from 16:43 to 17:06, anytime after 17:56\nFriday: Booked at the following times: from 9:14 to 11:24, from 12:47 to 15:17, from 16:27 to 17:27\n\nThe schedule for Calvin Erickson's week in their local time is as follows:\nMonday: Booked at the following times: from 12:21 to 13:21, from 14:10 to 15:40, from 16:11 to 17:31\nTuesday: Booked at the following times: from 10:58 to 13:28, from 14:14 to 16:04\nWednesday: Booked at the following times: from 10:08 to 11:48, from 12:00 to 12:20, from 13:38 to 14:18, from 14:22 to 15:52\nThursday: Booked at the following times: from 9:47 to 12:17, from 12:51 to 13:31, from 13:33 to 15:03, from 15:28 to 15:58\nFriday: Booked at the following times: from 9:17 to 10:17, from 13:14 to 14:34, from 14:36 to 15:36\n\nLisa Ramos needs a break for lunch on Friday from 12:40 to 13:10\nCalvin Erickson needs a break for lunch on Friday from 11:17 to 11:47\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Amanda Garcia": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[651, 751], [781, 931], [957, 1027]], "Tuesday": [[599, 699], [708, 828], [941, 961], [973, 993], [1040, 1080]], "Wednesday": [[604, 734], [832, 902]], "Thursday": [[602, 742], [846, 966], [974, 1044]], "Friday": [[542, 622], [635, 675], [794, 814], [831, 971]]}, "free_org": {"Monday": [[540, 651], [751, 781], [931, 957], [1027, 1080]], "Tuesday": [[540, 599], [699, 708], [828, 941], [961, 973], [993, 1040]], "Wednesday": [[540, 604], [734, 832], [902, 1080]], "Thursday": [[540, 602], [742, 846], [966, 974], [1044, 1080]], "Friday": [[540, 542], [622, 635], [675, 794], [814, 831], [971, 1080]]}, "constraint": ["none", null]}, "Lisa Ramos": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[577, 647], [755, 865], [889, 1019]], "Tuesday": [[683, 833], [858, 888], [890, 1040]], "Wednesday": [[595, 685], [796, 886], [949, 1029]], "Thursday": [[583, 683], [709, 779], [829, 939], [978, 1018]], "Friday": [[563, 633], [829, 969]]}, "free_org": {"Monday": [[540, 577], [647, 755], [865, 889], [1019, 1080]], "Tuesday": [[540, 683], [833, 858], [888, 890], [1040, 1080]], "Wednesday": [[540, 595], [685, 796], [886, 949], [1029, 1080]], "Thursday": [[540, 583], [683, 709], [779, 829], [939, 978], [1018, 1080]], "Friday": [[540, 563], [633, 829], [969, 1080]]}, "constraint": ["lunch", ["Friday", [760, 790]]]}, "Anthony Carter": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[686, 816], [825, 865]], "Tuesday": [[563, 623], [641, 761], [1029, 1049]], "Wednesday": [[547, 597], [680, 810], [906, 936], [1014, 1044]], "Thursday": [[540, 580], [598, 628], [651, 681], [750, 770], [825, 845], [890, 950], [953, 1003], [1026, 1076]], "Friday": [[554, 684], [767, 917], [987, 1047]]}, "free_org": {"Monday": [[540, 686], [816, 825], [865, 1080]], "Tuesday": [[540, 563], [623, 641], [761, 1029], [1049, 1080]], "Wednesday": [[540, 547], [597, 680], [810, 906], [936, 1014], [1044, 1080]], "Thursday": [[580, 598], [628, 651], [681, 750], [770, 825], [845, 890], [950, 953], [1003, 1026], [1076, 1080]], "Friday": [[540, 554], [684, 767], [917, 987], [1047, 1080]]}, "constraint": ["none", null]}, "Calvin Erickson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[741, 801], [850, 940], [971, 1051]], "Tuesday": [[658, 808], [854, 964]], "Wednesday": [[608, 708], [720, 740], [818, 858], [862, 952]], "Thursday": [[587, 737], [771, 811], [813, 903], [928, 958]], "Friday": [[557, 617], [794, 874], [876, 936]]}, "free_org": {"Monday": [[540, 741], [801, 850], [940, 971], [1051, 1080]], "Tuesday": [[540, 658], [808, 854], [964, 1080]], "Wednesday": [[540, 608], [708, 720], [740, 818], [858, 862], [952, 1080]], "Thursday": [[540, 587], [737, 771], [811, 813], [903, 928], [958, 1080]], "Friday": [[540, 557], [617, 794], [874, 876], [936, 1080]]}, "constraint": ["lunch", ["Friday", [677, 707]]]}}, "solution": {"max_duration": 53, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nSarah Graham, Christina Vasquez, Jacqueline Dickerson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Sarah Graham's week in their local time is as follows:\nMonday: Booked at the following times: from 9:20 to 9:50, from 10:19 to 10:49, from 11:40 to 12:00, from 13:58 to 15:28, from 15:34 to 16:54\nTuesday: Booked at the following times: from 9:04 to 10:14, from 10:35 to 12:15, from 14:41 to 16:31, from 17:11 to 17:51\nWednesday: Booked at the following times: from 11:13 to 12:23, from 13:35 to 15:15, from 16:08 to 16:28, from 16:43 to 17:23\nThursday: Booked at the following times: from 9:23 to 10:03, from 10:49 to 11:49, from 11:55 to 13:05, from 13:18 to 13:48, from 15:30 to 17:50\nFriday: Booked at the following times: from 9:07 to 9:27, from 10:55 to 12:15, from 14:05 to 15:45, from 17:17 to 17:57\n\nThe schedule for Christina Vasquez's week in their local time is as follows:\nMonday: Booked at the following times: from 10:13 to 10:53, from 12:07 to 12:27, from 13:43 to 15:33, from 15:49 to 17:09\nTuesday: Booked at the following times: from 9:16 to 9:56, from 10:10 to 10:30, from 12:17 to 13:27, from 13:47 to 14:37, from 14:46 to 16:26\nWednesday: Booked at the following times: from 9:58 to 11:48, from 12:11 to 13:11\nThursday: Booked at the following times: from 11:21 to 11:41, from 12:04 to 12:44, from 13:07 to 13:37, from 13:45 to 15:25, from 15:26 to 15:56, from 16:16 to 17:26\nFriday: Booked at the following times: from 12:07 to 13:17, from 14:56 to 15:36, from 15:54 to 17:54\n\nThe schedule for Jacqueline Dickerson's week in their local time is as follows:\nMonday: Booked at the following times: from 9:13 to 9:43, from 11:24 to 13:44, from 14:01 to 14:31, from 14:36 to 16:46\nTuesday: Booked at the following times: from 10:01 to 10:31, from 10:50 to 11:50, from 11:51 to 12:51, from 13:23 to 14:53\nWednesday: Booked at the following times: from 9:12 to 10:12, from 10:16 to 11:36, from 11:53 to 13:13, from 14:48 to 16:18\nThursday: Booked at the following times: from 9:19 to 9:49, from 10:00 to 10:20, from 12:24 to 14:24, from 15:05 to 15:45, from 16:17 to 16:37\nFriday: Booked at the following times: from 10:14 to 10:54, from 11:45 to 13:35, from 13:47 to 15:57, from 16:45 to 17:05\n\nSarah Graham can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nChristina Vasquez needs a break for lunch on Tuesday from 11:22 to 11:52\nJacqueline Dickerson requires 5 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Sarah Graham": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[560, 590], [619, 649], [700, 720], [838, 928], [934, 1014]], "Tuesday": [[544, 614], [635, 735], [881, 991], [1031, 1071]], "Wednesday": [[673, 743], [815, 915], [968, 988], [1003, 1043]], "Thursday": [[563, 603], [649, 709], [715, 785], [798, 828], [930, 1070]], "Friday": [[547, 567], [655, 735], [845, 945], [1037, 1077]]}, "free_org": {"Monday": [[540, 560], [590, 619], [649, 700], [720, 838], [928, 934], [1014, 1080]], "Tuesday": [[540, 544], [614, 635], [735, 881], [991, 1031], [1071, 1080]], "Wednesday": [[540, 673], [743, 815], [915, 968], [988, 1003], [1043, 1080]], "Thursday": [[540, 563], [603, 649], [709, 715], [785, 798], [828, 930], [1070, 1080]], "Friday": [[540, 547], [567, 655], [735, 845], [945, 1037], [1077, 1080]]}, "constraint": ["conflict", 20]}, "Christina Vasquez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[613, 653], [727, 747], [823, 933], [949, 1029]], "Tuesday": [[556, 596], [610, 630], [737, 807], [827, 877], [886, 986]], "Wednesday": [[598, 708], [731, 791]], "Thursday": [[681, 701], [724, 764], [787, 817], [825, 925], [926, 956], [976, 1046]], "Friday": [[727, 797], [896, 936], [954, 1074]]}, "free_org": {"Monday": [[540, 613], [653, 727], [747, 823], [933, 949], [1029, 1080]], "Tuesday": [[540, 556], [596, 610], [630, 737], [807, 827], [877, 886], [986, 1080]], "Wednesday": [[540, 598], [708, 731], [791, 1080]], "Thursday": [[540, 681], [701, 724], [764, 787], [817, 825], [925, 926], [956, 976], [1046, 1080]], "Friday": [[540, 727], [797, 896], [936, 954], [1074, 1080]]}, "constraint": ["lunch", ["Tuesday", [682, 712]]]}, "Jacqueline Dickerson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[553, 583], [684, 824], [841, 871], [876, 1006]], "Tuesday": [[601, 631], [650, 710], [711, 771], [803, 893]], "Wednesday": [[552, 612], [616, 696], [713, 793], [888, 978]], "Thursday": [[559, 589], [600, 620], [744, 864], [905, 945], [977, 997]], "Friday": [[614, 654], [705, 815], [827, 957], [1005, 1025]]}, "free_org": {"Monday": [[540, 553], [583, 684], [824, 841], [871, 876], [1006, 1080]], "Tuesday": [[540, 601], [631, 650], [710, 711], [771, 803], [893, 1080]], "Wednesday": [[540, 552], [612, 616], [696, 713], [793, 888], [978, 1080]], "Thursday": [[540, 559], [589, 600], [620, 744], [864, 905], [945, 977], [997, 1080]], "Friday": [[540, 614], [654, 705], [815, 827], [957, 1005], [1025, 1080]]}, "constraint": ["buffer", 5]}}, "solution": {"max_duration": 64, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nLouis Huber, Brian Harrison, Lisa Jones, Roger Hartman work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Louis Huber's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 9:49, from 13:16 to 14:36, from 15:21 to 17:01\nTuesday: Booked at the following times: from 9:11 to 10:11, from 10:22 to 11:22, from 12:04 to 12:24, from 12:57 to 13:57, from 15:10 to 15:30, from 15:56 to 17:36\nWednesday: Booked at the following times: from 9:39 to 10:49, from 12:17 to 13:37, from 15:21 to 16:51\nThursday: Booked at the following times: from 9:25 to 9:45, from 11:07 to 11:57, from 12:24 to 13:14, from 13:35 to 14:35, from 15:02 to 16:22, from 16:53 to 17:23\nFriday: Booked at the following times: from 9:38 to 10:38, from 10:39 to 11:29, from 11:30 to 12:30, from 13:27 to 14:37, from 15:22 to 16:02, from 16:08 to 16:48\n\nThe schedule for Brian Harrison's week in their local time is as follows:\nMonday: Booked at the following times: from 9:41 to 10:41, from 11:53 to 13:53, from 15:40 to 17:20\nTuesday: Booked at the following times: from 10:44 to 11:44, from 12:05 to 14:25, from 14:49 to 16:09, from 16:29 to 17:59\nWednesday: Booked at the following times: from 9:28 to 10:38, from 14:11 to 15:11, from 16:22 to 17:52\nThursday: Booked at the following times: from 9:46 to 10:06, from 10:57 to 11:17, from 11:35 to 12:55, from 13:22 to 13:52, from 13:56 to 15:26, from 15:32 to 16:32\nFriday: Booked at the following times: from 9:55 to 11:25, from 11:42 to 12:42, from 13:26 to 15:16, from 15:44 to 16:14\n\nThe schedule for Lisa Jones's week in their local time is as follows:\nMonday: Booked at the following times: from 10:24 to 11:24, from 11:27 to 12:17, from 12:39 to 15:09\nTuesday: Booked at the following times: from 9:39 to 11:09, from 11:54 to 13:44, from 14:57 to 15:57, from 16:08 to 16:28\nWednesday: Booked at the following times: from 10:54 to 13:04, from 15:14 to 15:34, from 15:35 to 17:35\nThursday: Booked at the following times: from 10:40 to 11:20, from 11:34 to 12:24, from 13:12 to 14:12, from 14:25 to 14:55, from 15:06 to 17:16\nFriday: Booked at the following times: from 10:38 to 11:08, from 12:51 to 13:51, from 13:55 to 16:25\n\nThe schedule for Roger Hartman's week in their local time is as follows:\nMonday: Booked at the following times: from 10:06 to 10:46, from 11:28 to 12:18, from 12:26 to 13:56, from 15:04 to 16:54, from 16:55 to 17:25\nTuesday: Booked at the following times: from 9:06 to 9:46, from 9:54 to 10:24, from 10:41 to 11:11, from 11:45 to 12:05, from 13:00 to 14:10, from 14:37 to 16:07, from 16:26 to 17:36\nWednesday: Free only at the following times: anytime before 10:56, from 12:06 to 15:50\nThursday: Booked at the following times: from 9:42 to 10:42, from 11:39 to 12:29, from 12:36 to 13:46, from 14:18 to 16:18\nFriday: Booked at the following times: from 9:18 to 10:58, from 13:41 to 14:21, from 14:37 to 15:07, from 16:03 to 17:53\n\nLouis Huber needs a break for lunch on Tuesday from 11:24 to 11:54\nBrian Harrison needs a break for lunch on Monday from 11:12 to 11:42\nLisa Jones requires 5 minutes free before and after the meeting\nRoger Hartman requires 10 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Louis Huber": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 589], [796, 876], [921, 1021]], "Tuesday": [[551, 611], [622, 682], [724, 744], [777, 837], [910, 930], [956, 1056]], "Wednesday": [[579, 649], [737, 817], [921, 1011]], "Thursday": [[565, 585], [667, 717], [744, 794], [815, 875], [902, 982], [1013, 1043]], "Friday": [[578, 638], [639, 689], [690, 750], [807, 877], [922, 962], [968, 1008]]}, "free_org": {"Monday": [[540, 559], [589, 796], [876, 921], [1021, 1080]], "Tuesday": [[540, 551], [611, 622], [682, 724], [744, 777], [837, 910], [930, 956], [1056, 1080]], "Wednesday": [[540, 579], [649, 737], [817, 921], [1011, 1080]], "Thursday": [[540, 565], [585, 667], [717, 744], [794, 815], [875, 902], [982, 1013], [1043, 1080]], "Friday": [[540, 578], [638, 639], [689, 690], [750, 807], [877, 922], [962, 968], [1008, 1080]]}, "constraint": ["lunch", ["Tuesday", [684, 714]]]}, "Brian Harrison": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[581, 641], [713, 833], [940, 1040]], "Tuesday": [[644, 704], [725, 865], [889, 969], [989, 1079]], "Wednesday": [[568, 638], [851, 911], [982, 1072]], "Thursday": [[586, 606], [657, 677], [695, 775], [802, 832], [836, 926], [932, 992]], "Friday": [[595, 685], [702, 762], [806, 916], [944, 974]]}, "free_org": {"Monday": [[540, 581], [641, 713], [833, 940], [1040, 1080]], "Tuesday": [[540, 644], [704, 725], [865, 889], [969, 989], [1079, 1080]], "Wednesday": [[540, 568], [638, 851], [911, 982], [1072, 1080]], "Thursday": [[540, 586], [606, 657], [677, 695], [775, 802], [832, 836], [926, 932], [992, 1080]], "Friday": [[540, 595], [685, 702], [762, 806], [916, 944], [974, 1080]]}, "constraint": ["lunch", ["Monday", [672, 702]]]}, "Lisa Jones": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[624, 684], [687, 737], [759, 909]], "Tuesday": [[579, 669], [714, 824], [897, 957], [968, 988]], "Wednesday": [[654, 784], [914, 934], [935, 1055]], "Thursday": [[640, 680], [694, 744], [792, 852], [865, 895], [906, 1036]], "Friday": [[638, 668], [771, 831], [835, 985]]}, "free_org": {"Monday": [[540, 624], [684, 687], [737, 759], [909, 1080]], "Tuesday": [[540, 579], [669, 714], [824, 897], [957, 968], [988, 1080]], "Wednesday": [[540, 654], [784, 914], [934, 935], [1055, 1080]], "Thursday": [[540, 640], [680, 694], [744, 792], [852, 865], [895, 906], [1036, 1080]], "Friday": [[540, 638], [668, 771], [831, 835], [985, 1080]]}, "constraint": ["buffer", 5]}, "Roger Hartman": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[606, 646], [688, 738], [746, 836], [904, 1014], [1015, 1045]], "Tuesday": [[546, 586], [594, 624], [641, 671], [705, 725], [780, 850], [877, 967], [986, 1056]], "Wednesday": [[656, 726], [950, 1080]], "Thursday": [[582, 642], [699, 749], [756, 826], [858, 978]], "Friday": [[558, 658], [821, 861], [877, 907], [963, 1073]]}, "free_org": {"Monday": [[540, 606], [646, 688], [738, 746], [836, 904], [1014, 1015], [1045, 1080]], "Tuesday": [[540, 546], [586, 594], [624, 641], [671, 705], [725, 780], [850, 877], [967, 986], [1056, 1080]], "Wednesday": [[540, 656], [726, 950]], "Thursday": [[540, 582], [642, 699], [749, 756], [826, 858], [978, 1080]], "Friday": [[540, 558], [658, 821], [861, 877], [907, 963], [1073, 1080]]}, "constraint": ["buffer", 10]}}, "solution": {"max_duration": 34, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nBenjamin Barrett, Daniel Clark, Alejandro Palmer work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Benjamin Barrett's week in their local time is as follows:\nMonday: Booked at the following times: from 10:46 to 12:36, from 12:53 to 13:43, from 15:11 to 16:11, from 17:04 to 17:34\nTuesday: Booked at the following times: from 12:01 to 12:51, from 13:34 to 14:04, from 14:34 to 16:34\nWednesday: Booked at the following times: from 10:06 to 11:06, from 11:12 to 12:22, from 13:46 to 15:26\nThursday: Booked at the following times: from 9:30 to 10:20, from 10:40 to 11:10, from 12:25 to 14:45\nFriday: Booked at the following times: from 9:40 to 10:20, from 10:39 to 11:39, from 13:48 to 15:38, from 15:45 to 16:55\n\nThe schedule for Daniel Clark's week in their local time is as follows:\nMonday: Booked at the following times: from 9:04 to 11:24, from 14:54 to 16:34\nTuesday: Booked at the following times: from 9:54 to 11:54, from 13:21 to 15:41, from 16:09 to 17:39\nWednesday: Booked at the following times: from 9:32 to 11:02, from 11:12 to 11:52, from 12:32 to 13:02, from 13:12 to 14:02, from 14:21 to 15:51, from 16:38 to 17:18\nThursday: Booked at the following times: from 10:50 to 11:10, from 12:08 to 14:08, from 14:57 to 17:17\nFriday: Booked at the following times: from 9:18 to 11:48, from 13:03 to 14:53, from 15:25 to 15:45\n\nThe schedule for Alejandro Palmer's week in their local time is as follows:\nMonday: Booked at the following times: from 10:29 to 12:49, from 13:15 to 14:25, from 15:18 to 16:58\nTuesday: Booked at the following times: from 10:01 to 12:31, from 12:34 to 15:04\nWednesday: Booked at the following times: from 9:23 to 9:53, from 10:45 to 12:05, from 12:11 to 13:01, from 13:37 to 14:37, from 15:38 to 16:08, from 16:36 to 17:36\nThursday: Booked at the following times: from 9:20 to 10:00, from 11:34 to 13:54, from 15:30 to 15:50\nFriday: Booked at the following times: from 10:08 to 10:38, from 11:24 to 11:54, from 12:30 to 13:50, from 14:12 to 15:42, from 17:09 to 17:39\n\nBenjamin Barrett requires 10 minutes free before and after the meeting\nDaniel Clark is in a timezone that is 2 hours ahead of other participants\nAlejandro Palmer is in a timezone that is 2 hours behind of other participants\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Benjamin Barrett": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[646, 756], [773, 823], [911, 971], [1024, 1054]], "Tuesday": [[721, 771], [814, 844], [874, 994]], "Wednesday": [[606, 666], [672, 742], [826, 926]], "Thursday": [[570, 620], [640, 670], [745, 885]], "Friday": [[580, 620], [639, 699], [828, 938], [945, 1015]]}, "free_org": {"Monday": [[540, 646], [756, 773], [823, 911], [971, 1024], [1054, 1080]], "Tuesday": [[540, 721], [771, 814], [844, 874], [994, 1080]], "Wednesday": [[540, 606], [666, 672], [742, 826], [926, 1080]], "Thursday": [[540, 570], [620, 640], [670, 745], [885, 1080]], "Friday": [[540, 580], [620, 639], [699, 828], [938, 945], [1015, 1080]]}, "constraint": ["buffer", 10]}, "Daniel Clark": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[544, 684], [894, 994]], "Tuesday": [[594, 714], [801, 941], [969, 1059]], "Wednesday": [[572, 662], [672, 712], [752, 782], [792, 842], [861, 951], [998, 1038]], "Thursday": [[650, 670], [728, 848], [897, 1037]], "Friday": [[558, 708], [783, 893], [925, 945]]}, "free_org": {"Monday": [[540, 544], [684, 894], [994, 1080]], "Tuesday": [[540, 594], [714, 801], [941, 969], [1059, 1080]], "Wednesday": [[540, 572], [662, 672], [712, 752], [782, 792], [842, 861], [951, 998], [1038, 1080]], "Thursday": [[540, 650], [670, 728], [848, 897], [1037, 1080]], "Friday": [[540, 558], [708, 783], [893, 925], [945, 1080]]}, "constraint": ["timezone", 2]}, "Alejandro Palmer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[629, 769], [795, 865], [918, 1018]], "Tuesday": [[601, 751], [754, 904]], "Wednesday": [[563, 593], [645, 725], [731, 781], [817, 877], [938, 968], [996, 1056]], "Thursday": [[560, 600], [694, 834], [930, 950]], "Friday": [[608, 638], [684, 714], [750, 830], [852, 942], [1029, 1059]]}, "free_org": {"Monday": [[540, 629], [769, 795], [865, 918], [1018, 1080]], "Tuesday": [[540, 601], [751, 754], [904, 1080]], "Wednesday": [[540, 563], [593, 645], [725, 731], [781, 817], [877, 938], [968, 996], [1056, 1080]], "Thursday": [[540, 560], [600, 694], [834, 930], [950, 1080]], "Friday": [[540, 608], [638, 684], [714, 750], [830, 852], [942, 1029], [1059, 1080]]}, "constraint": ["timezone", -2]}}, "solution": {"max_duration": 31, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nDebbie Wilkinson, Jessica Hale MD, Maria Meyer, Catherine Moses, Michael Holland, Kimberly Fleming work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Debbie Wilkinson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:00 to 10:50, from 10:53 to 11:13, from 11:35 to 13:45, from 13:59 to 15:59\nTuesday: Booked at the following times: from 9:04 to 10:24, from 11:55 to 12:35, from 13:57 to 15:07, from 15:19 to 17:49\nWednesday: Booked at the following times: from 11:06 to 11:46, from 12:17 to 12:37, from 13:06 to 15:06, from 15:28 to 15:48, from 16:00 to 17:30\nThursday: Free only at the following times: anytime before 10:37, from 11:07 to 11:12, from 13:02 to 16:10\nFriday: Booked at the following times: from 12:10 to 14:20, from 15:18 to 17:38\n\nThe schedule for Jessica Hale MD's week in their local time is as follows:\nMonday: Booked at the following times: from 9:51 to 12:01, from 12:09 to 13:09, from 13:32 to 14:52, from 15:24 to 16:24\nTuesday: Booked at the following times: from 11:04 to 13:04, from 15:13 to 17:43\nWednesday: Booked at the following times: from 10:46 to 11:16, from 13:45 to 14:05, from 14:12 to 15:42, from 15:50 to 16:50\nThursday: Booked at the following times: from 10:34 to 11:24, from 13:07 to 14:27, from 14:42 to 15:52, from 16:09 to 17:09, from 17:26 to 17:46\nFriday: Booked at the following times: from 9:13 to 10:13, from 11:24 to 12:14, from 12:55 to 13:45, from 14:23 to 16:43\n\nThe schedule for Maria Meyer's week in their local time is as follows:\nMonday: Booked at the following times: from 9:53 to 11:03, from 14:03 to 16:33\nTuesday: Booked at the following times: from 9:14 to 9:44, from 9:45 to 10:25, from 11:48 to 12:58, from 13:05 to 13:25, from 14:25 to 15:15, from 15:27 to 16:07, from 16:49 to 17:39\nWednesday: Booked at the following times: from 9:39 to 9:59, from 11:15 to 11:35, from 12:15 to 13:55, from 15:09 to 17:29\nThursday: Booked at the following times: from 10:00 to 10:30, from 11:16 to 11:46, from 12:55 to 14:05, from 14:14 to 14:44, from 15:49 to 16:39, from 17:09 to 17:29\nFriday: Booked at the following times: from 9:09 to 11:29, from 13:32 to 15:42\n\nThe schedule for Catherine Moses's week in their local time is as follows:\nMonday: Booked at the following times: from 9:19 to 10:59, from 11:42 to 12:32, from 13:27 to 14:37, from 15:13 to 17:33\nTuesday: Booked at the following times: from 9:55 to 10:35, from 11:09 to 11:39, from 12:48 to 13:18, from 13:49 to 14:19, from 14:34 to 14:54, from 16:04 to 17:04, from 17:11 to 17:51\nWednesday: Booked at the following times: from 9:04 to 9:24, from 10:01 to 10:51, from 11:09 to 12:49, from 13:20 to 13:40, from 15:09 to 16:39\nThursday: Booked at the following times: from 9:49 to 12:09, from 16:01 to 17:51\nFriday: Booked at the following times: from 9:28 to 10:38, from 10:53 to 12:03, from 13:51 to 16:21, from 16:39 to 17:29\n\nThe schedule for Michael Holland's week in their local time is as follows:\nMonday: Booked at the following times: from 11:15 to 12:55, from 13:00 to 13:30, from 14:04 to 16:04\nTuesday: Booked at the following times: from 9:56 to 11:36, from 12:42 to 15:02, from 15:11 to 16:11\nWednesday: Booked at the following times: from 10:46 to 12:06, from 13:01 to 13:41, from 15:16 to 17:16\nThursday: Booked at the following times: from 9:56 to 11:46, from 13:39 to 15:29\nFriday: Booked at the following times: from 9:49 to 10:39, from 12:50 to 13:50, from 15:35 to 17:05\n\nThe schedule for Kimberly Fleming's week in their local time is as follows:\nMonday: Booked at the following times: from 12:12 to 14:42, from 15:58 to 17:28, from 17:33 to 17:53\nTuesday: Booked at the following times: from 9:19 to 10:49, from 11:13 to 11:53, from 12:46 to 13:46, from 14:15 to 15:25, from 16:04 to 17:14\nWednesday: Booked at the following times: from 10:04 to 11:44, from 12:06 to 14:36\nThursday: Booked at the following times: from 11:15 to 12:25, from 12:32 to 13:32, from 16:09 to 17:29\nFriday: Booked at the following times: from 10:57 to 12:27, from 13:57 to 15:57, from 16:26 to 17:56\n\nDebbie Wilkinson needs a break for lunch on Wednesday from 11:46 to 12:16\nJessica Hale MD is in a timezone that is 1 hour behind of other participants\nMaria Meyer requires 5 minutes free before and after the meeting\nCatherine Moses can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nMichael Holland requires 15 minutes free before and after the meeting\nKimberly Fleming needs a break for lunch on Monday from 11:01 to 11:31\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Debbie Wilkinson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[600, 650], [653, 673], [695, 825], [839, 959]], "Tuesday": [[544, 624], [715, 755], [837, 907], [919, 1069]], "Wednesday": [[666, 706], [737, 757], [786, 906], [928, 948], [960, 1050]], "Thursday": [[637, 667], [672, 782], [970, 1080]], "Friday": [[730, 860], [918, 1058]]}, "free_org": {"Monday": [[540, 600], [650, 653], [673, 695], [825, 839], [959, 1080]], "Tuesday": [[540, 544], [624, 715], [755, 837], [907, 919], [1069, 1080]], "Wednesday": [[540, 666], [706, 737], [757, 786], [906, 928], [948, 960], [1050, 1080]], "Thursday": [[540, 637], [667, 672], [782, 970]], "Friday": [[540, 730], [860, 918], [1058, 1080]]}, "constraint": ["lunch", ["Wednesday", [706, 736]]]}, "Jessica Hale MD": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[591, 721], [729, 789], [812, 892], [924, 984]], "Tuesday": [[664, 784], [913, 1063]], "Wednesday": [[646, 676], [825, 845], [852, 942], [950, 1010]], "Thursday": [[634, 684], [787, 867], [882, 952], [969, 1029], [1046, 1066]], "Friday": [[553, 613], [684, 734], [775, 825], [863, 1003]]}, "free_org": {"Monday": [[540, 591], [721, 729], [789, 812], [892, 924], [984, 1080]], "Tuesday": [[540, 664], [784, 913], [1063, 1080]], "Wednesday": [[540, 646], [676, 825], [845, 852], [942, 950], [1010, 1080]], "Thursday": [[540, 634], [684, 787], [867, 882], [952, 969], [1029, 1046], [1066, 1080]], "Friday": [[540, 553], [613, 684], [734, 775], [825, 863], [1003, 1080]]}, "constraint": ["timezone", -1]}, "Maria Meyer": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[593, 663], [843, 993]], "Tuesday": [[554, 584], [585, 625], [708, 778], [785, 805], [865, 915], [927, 967], [1009, 1059]], "Wednesday": [[579, 599], [675, 695], [735, 835], [909, 1049]], "Thursday": [[600, 630], [676, 706], [775, 845], [854, 884], [949, 999], [1029, 1049]], "Friday": [[549, 689], [812, 942]]}, "free_org": {"Monday": [[540, 593], [663, 843], [993, 1080]], "Tuesday": [[540, 554], [584, 585], [625, 708], [778, 785], [805, 865], [915, 927], [967, 1009], [1059, 1080]], "Wednesday": [[540, 579], [599, 675], [695, 735], [835, 909], [1049, 1080]], "Thursday": [[540, 600], [630, 676], [706, 775], [845, 854], [884, 949], [999, 1029], [1049, 1080]], "Friday": [[540, 549], [689, 812], [942, 1080]]}, "constraint": ["buffer", 5]}, "Catherine Moses": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[559, 659], [702, 752], [807, 877], [913, 1053]], "Tuesday": [[595, 635], [669, 699], [768, 798], [829, 859], [874, 894], [964, 1024], [1031, 1071]], "Wednesday": [[544, 564], [601, 651], [669, 769], [800, 820], [909, 999]], "Thursday": [[589, 729], [961, 1071]], "Friday": [[568, 638], [653, 723], [831, 981], [999, 1049]]}, "free_org": {"Monday": [[540, 559], [659, 702], [752, 807], [877, 913], [1053, 1080]], "Tuesday": [[540, 595], [635, 669], [699, 768], [798, 829], [859, 874], [894, 964], [1024, 1031], [1071, 1080]], "Wednesday": [[540, 544], [564, 601], [651, 669], [769, 800], [820, 909], [999, 1080]], "Thursday": [[540, 589], [729, 961], [1071, 1080]], "Friday": [[540, 568], [638, 653], [723, 831], [981, 999], [1049, 1080]]}, "constraint": ["conflict", 40]}, "Michael Holland": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[675, 775], [780, 810], [844, 964]], "Tuesday": [[596, 696], [762, 902], [911, 971]], "Wednesday": [[646, 726], [781, 821], [916, 1036]], "Thursday": [[596, 706], [819, 929]], "Friday": [[589, 639], [770, 830], [935, 1025]]}, "free_org": {"Monday": [[540, 675], [775, 780], [810, 844], [964, 1080]], "Tuesday": [[540, 596], [696, 762], [902, 911], [971, 1080]], "Wednesday": [[540, 646], [726, 781], [821, 916], [1036, 1080]], "Thursday": [[540, 596], [706, 819], [929, 1080]], "Friday": [[540, 589], [639, 770], [830, 935], [1025, 1080]]}, "constraint": ["buffer", 15]}, "Kimberly Fleming": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[732, 882], [958, 1048], [1053, 1073]], "Tuesday": [[559, 649], [673, 713], [766, 826], [855, 925], [964, 1034]], "Wednesday": [[604, 704], [726, 876]], "Thursday": [[675, 745], [752, 812], [969, 1049]], "Friday": [[657, 747], [837, 957], [986, 1076]]}, "free_org": {"Monday": [[540, 732], [882, 958], [1048, 1053], [1073, 1080]], "Tuesday": [[540, 559], [649, 673], [713, 766], [826, 855], [925, 964], [1034, 1080]], "Wednesday": [[540, 604], [704, 726], [876, 1080]], "Thursday": [[540, 675], [745, 752], [812, 969], [1049, 1080]], "Friday": [[540, 657], [747, 837], [957, 986], [1076, 1080]]}, "constraint": ["lunch", ["Monday", [661, 691]]]}}, "solution": {"max_duration": 0, "count": 0}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAriel Lewis, Jerry Smith, Curtis Ryan, Jeffrey Daniels, Anne Jackson work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ariel Lewis's week in their local time is as follows:\nMonday: Booked at the following times: from 9:51 to 10:11, from 11:18 to 13:18, from 14:05 to 16:05, from 16:48 to 17:58\nTuesday: Booked at the following times: from 10:24 to 11:44, from 14:03 to 16:23\nWednesday: Booked at the following times: from 11:34 to 12:14, from 12:38 to 15:08, from 15:30 to 16:10, from 16:11 to 16:41\nThursday: Booked at the following times: from 9:16 to 9:56, from 10:08 to 10:38, from 10:44 to 11:34, from 13:03 to 14:53, from 15:57 to 17:37\nFriday: Booked at the following times: from 9:55 to 11:25, from 11:38 to 13:28, from 15:19 to 16:59\n\nThe schedule for Jerry Smith's week in their local time is as follows:\nMonday: Booked at the following times: from 9:10 to 10:00, from 10:36 to 10:56, from 11:22 to 12:42, from 13:04 to 14:54, from 15:32 to 16:32\nTuesday: Booked at the following times: from 9:04 to 10:04, from 10:18 to 10:58, from 11:16 to 12:56, from 14:00 to 14:40, from 15:25 to 16:05, from 16:39 to 16:59, from 17:22 to 17:52\nWednesday: Booked at the following times: from 9:13 to 9:53, from 10:34 to 12:54, from 15:49 to 17:09\nThursday: Booked at the following times: from 9:16 to 10:16, from 10:54 to 11:34, from 11:47 to 12:17, from 12:51 to 13:11, from 15:17 to 17:07\nFriday: Booked at the following times: from 11:43 to 13:03, from 13:10 to 14:40, from 14:58 to 15:28\n\nThe schedule for Curtis Ryan's week in their local time is as follows:\nMonday: Booked at the following times: from 10:03 to 10:33, from 12:33 to 14:53, from 15:38 to 17:58\nTuesday: Booked at the following times: from 10:36 to 11:56, from 12:49 to 15:19\nWednesday: Booked at the following times: from 9:07 to 9:47, from 10:35 to 11:55, from 12:29 to 12:59, from 13:57 to 14:27, from 14:53 to 15:13, from 15:30 to 15:50, from 16:12 to 17:42\nThursday: Booked at the following times: from 9:16 to 10:56, from 11:01 to 13:31, from 15:30 to 16:10, from 16:11 to 17:11\nFriday: Booked at the following times: from 9:12 to 11:02, from 11:20 to 11:40, from 12:28 to 13:18, from 13:27 to 14:17, from 14:39 to 14:59, from 16:29 to 17:59\n\nThe schedule for Jeffrey Daniels's week in their local time is as follows:\nMonday: Booked at the following times: from 9:29 to 11:29, from 14:17 to 14:57, from 15:58 to 17:58\nTuesday: Booked at the following times: from 10:16 to 11:16, from 11:34 to 12:04, from 12:25 to 13:45, from 14:37 to 15:07, from 15:24 to 16:34, from 16:38 to 17:28\nWednesday: Booked at the following times: from 9:29 to 11:09, from 11:35 to 13:45, from 14:04 to 15:24, from 17:02 to 17:52\nThursday: Booked at the following times: from 9:19 to 9:59, from 11:06 to 11:56, from 13:27 to 14:37, from 15:01 to 16:51\nFriday: Booked at the following times: from 10:40 to 12:30, from 12:45 to 14:35, from 15:23 to 16:13, from 16:32 to 17:42\n\nThe schedule for Anne Jackson's week in their local time is as follows:\nMonday: Booked at the following times: from 11:49 to 13:29, from 13:54 to 14:34, from 15:06 to 17:36\nTuesday: Booked at the following times: from 9:22 to 11:32, from 12:51 to 13:31, from 13:33 to 15:43, from 16:38 to 17:58\nWednesday: Booked at the following times: from 9:45 to 11:25, from 11:53 to 14:03, from 14:52 to 16:42\nThursday: Booked at the following times: from 9:35 to 10:55, from 11:26 to 11:46, from 12:11 to 12:31, from 15:22 to 16:12\nFriday: Booked at the following times: from 9:39 to 11:29, from 11:35 to 12:15, from 14:14 to 15:34\n\nAriel Lewis requires 10 minutes free before and after the meeting\nJeffrey Daniels requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ariel Lewis": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[591, 611], [678, 798], [845, 965], [1008, 1078]], "Tuesday": [[624, 704], [843, 983]], "Wednesday": [[694, 734], [758, 908], [930, 970], [971, 1001]], "Thursday": [[556, 596], [608, 638], [644, 694], [783, 893], [957, 1057]], "Friday": [[595, 685], [698, 808], [919, 1019]]}, "free_org": {"Monday": [[540, 591], [611, 678], [798, 845], [965, 1008], [1078, 1080]], "Tuesday": [[540, 624], [704, 843], [983, 1080]], "Wednesday": [[540, 694], [734, 758], [908, 930], [970, 971], [1001, 1080]], "Thursday": [[540, 556], [596, 608], [638, 644], [694, 783], [893, 957], [1057, 1080]], "Friday": [[540, 595], [685, 698], [808, 919], [1019, 1080]]}, "constraint": ["buffer", 10]}, "Jerry Smith": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[550, 600], [636, 656], [682, 762], [784, 894], [932, 992]], "Tuesday": [[544, 604], [618, 658], [676, 776], [840, 880], [925, 965], [999, 1019], [1042, 1072]], "Wednesday": [[553, 593], [634, 774], [949, 1029]], "Thursday": [[556, 616], [654, 694], [707, 737], [771, 791], [917, 1027]], "Friday": [[703, 783], [790, 880], [898, 928]]}, "free_org": {"Monday": [[540, 550], [600, 636], [656, 682], [762, 784], [894, 932], [992, 1080]], "Tuesday": [[540, 544], [604, 618], [658, 676], [776, 840], [880, 925], [965, 999], [1019, 1042], [1072, 1080]], "Wednesday": [[540, 553], [593, 634], [774, 949], [1029, 1080]], "Thursday": [[540, 556], [616, 654], [694, 707], [737, 771], [791, 917], [1027, 1080]], "Friday": [[540, 703], [783, 790], [880, 898], [928, 1080]]}, "constraint": ["none", null]}, "Curtis Ryan": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[603, 633], [753, 893], [938, 1078]], "Tuesday": [[636, 716], [769, 919]], "Wednesday": [[547, 587], [635, 715], [749, 779], [837, 867], [893, 913], [930, 950], [972, 1062]], "Thursday": [[556, 656], [661, 811], [930, 970], [971, 1031]], "Friday": [[552, 662], [680, 700], [748, 798], [807, 857], [879, 899], [989, 1079]]}, "free_org": {"Monday": [[540, 603], [633, 753], [893, 938], [1078, 1080]], "Tuesday": [[540, 636], [716, 769], [919, 1080]], "Wednesday": [[540, 547], [587, 635], [715, 749], [779, 837], [867, 893], [913, 930], [950, 972], [1062, 1080]], "Thursday": [[540, 556], [656, 661], [811, 930], [970, 971], [1031, 1080]], "Friday": [[540, 552], [662, 680], [700, 748], [798, 807], [857, 879], [899, 989], [1079, 1080]]}, "constraint": ["none", null]}, "Jeffrey Daniels": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[569, 689], [857, 897], [958, 1078]], "Tuesday": [[616, 676], [694, 724], [745, 825], [877, 907], [924, 994], [998, 1048]], "Wednesday": [[569, 669], [695, 825], [844, 924], [1022, 1072]], "Thursday": [[559, 599], [666, 716], [807, 877], [901, 1011]], "Friday": [[640, 750], [765, 875], [923, 973], [992, 1062]]}, "free_org": {"Monday": [[540, 569], [689, 857], [897, 958], [1078, 1080]], "Tuesday": [[540, 616], [676, 694], [724, 745], [825, 877], [907, 924], [994, 998], [1048, 1080]], "Wednesday": [[540, 569], [669, 695], [825, 844], [924, 1022], [1072, 1080]], "Thursday": [[540, 559], [599, 666], [716, 807], [877, 901], [1011, 1080]], "Friday": [[540, 640], [750, 765], [875, 923], [973, 992], [1062, 1080]]}, "constraint": ["buffer", 15]}, "Anne Jackson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[709, 809], [834, 874], [906, 1056]], "Tuesday": [[562, 692], [771, 811], [813, 943], [998, 1078]], "Wednesday": [[585, 685], [713, 843], [892, 1002]], "Thursday": [[575, 655], [686, 706], [731, 751], [922, 972]], "Friday": [[579, 689], [695, 735], [854, 934]]}, "free_org": {"Monday": [[540, 709], [809, 834], [874, 906], [1056, 1080]], "Tuesday": [[540, 562], [692, 771], [811, 813], [943, 998], [1078, 1080]], "Wednesday": [[540, 585], [685, 713], [843, 892], [1002, 1080]], "Thursday": [[540, 575], [655, 686], [706, 731], [751, 922], [972, 1080]], "Friday": [[540, 579], [689, 695], [735, 854], [934, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 0, "count": 0}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nGloria White, Mark Williams, Danielle Moore work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Gloria White's week in their local time is as follows:\nMonday: Booked at the following times: from 9:50 to 10:40, from 11:04 to 11:34, from 11:44 to 12:44, from 15:33 to 17:53\nTuesday: Booked at the following times: from 10:13 to 11:13, from 12:53 to 14:03, from 14:32 to 16:42\nWednesday: Booked at the following times: from 9:18 to 11:48, from 13:29 to 15:19\nThursday: Booked at the following times: from 11:30 to 13:20, from 13:57 to 14:37, from 16:28 to 17:58\nFriday: Booked at the following times: from 9:56 to 10:16, from 10:25 to 12:15, from 12:59 to 13:29, from 13:46 to 14:26, from 14:34 to 15:44, from 16:56 to 17:26\n\nThe schedule for Mark Williams's week in their local time is as follows:\nMonday: Booked at the following times: from 11:42 to 12:42, from 13:19 to 14:39, from 15:31 to 17:31\nTuesday: Booked at the following times: from 9:53 to 10:43, from 12:25 to 14:45, from 17:17 to 17:57\nWednesday: Booked at the following times: from 9:36 to 10:56, from 12:07 to 14:07, from 14:50 to 15:10, from 15:43 to 16:03\nThursday: Booked at the following times: from 10:26 to 11:06, from 11:16 to 12:16, from 14:05 to 14:25, from 15:24 to 16:24\nFriday: Booked at the following times: from 9:47 to 10:07, from 11:22 to 11:42, from 12:26 to 13:26, from 15:24 to 16:34, from 16:51 to 17:51\n\nThe schedule for Danielle Moore's week in their local time is as follows:\nMonday: Booked at the following times: from 10:33 to 11:43, from 11:58 to 13:48, from 15:53 to 17:33\nTuesday: Booked at the following times: from 9:57 to 12:17, from 13:46 to 15:06, from 15:42 to 16:32\nWednesday: Booked at the following times: from 9:10 to 11:10, from 12:08 to 13:38\nThursday: Booked at the following times: from 9:25 to 9:55, from 10:44 to 11:04, from 11:12 to 11:42, from 13:19 to 13:49, from 15:52 to 16:12, from 16:50 to 17:40\nFriday: Booked at the following times: from 11:08 to 12:38, from 13:21 to 15:51\n\nMark Williams can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Gloria White": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[590, 640], [664, 694], [704, 764], [933, 1073]], "Tuesday": [[613, 673], [773, 843], [872, 1002]], "Wednesday": [[558, 708], [809, 919]], "Thursday": [[690, 800], [837, 877], [988, 1078]], "Friday": [[596, 616], [625, 735], [779, 809], [826, 866], [874, 944], [1016, 1046]]}, "free_org": {"Monday": [[540, 590], [640, 664], [694, 704], [764, 933], [1073, 1080]], "Tuesday": [[540, 613], [673, 773], [843, 872], [1002, 1080]], "Wednesday": [[540, 558], [708, 809], [919, 1080]], "Thursday": [[540, 690], [800, 837], [877, 988], [1078, 1080]], "Friday": [[540, 596], [616, 625], [735, 779], [809, 826], [866, 874], [944, 1016], [1046, 1080]]}, "constraint": ["none", null]}, "Mark Williams": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[702, 762], [799, 879], [931, 1051]], "Tuesday": [[593, 643], [745, 885], [1037, 1077]], "Wednesday": [[576, 656], [727, 847], [890, 910], [943, 963]], "Thursday": [[626, 666], [676, 736], [845, 865], [924, 984]], "Friday": [[587, 607], [682, 702], [746, 806], [924, 994], [1011, 1071]]}, "free_org": {"Monday": [[540, 702], [762, 799], [879, 931], [1051, 1080]], "Tuesday": [[540, 593], [643, 745], [885, 1037], [1077, 1080]], "Wednesday": [[540, 576], [656, 727], [847, 890], [910, 943], [963, 1080]], "Thursday": [[540, 626], [666, 676], [736, 845], [865, 924], [984, 1080]], "Friday": [[540, 587], [607, 682], [702, 746], [806, 924], [994, 1011], [1071, 1080]]}, "constraint": ["conflict", 40]}, "Danielle Moore": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[633, 703], [718, 828], [953, 1053]], "Tuesday": [[597, 737], [826, 906], [942, 992]], "Wednesday": [[550, 670], [728, 818]], "Thursday": [[565, 595], [644, 664], [672, 702], [799, 829], [952, 972], [1010, 1060]], "Friday": [[668, 758], [801, 951]]}, "free_org": {"Monday": [[540, 633], [703, 718], [828, 953], [1053, 1080]], "Tuesday": [[540, 597], [737, 826], [906, 942], [992, 1080]], "Wednesday": [[540, 550], [670, 728], [818, 1080]], "Thursday": [[540, 565], [595, 644], [664, 672], [702, 799], [829, 952], [972, 1010], [1060, 1080]], "Friday": [[540, 668], [758, 801], [951, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 161, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAmanda Thompson, Kyle Lester, Joan Gilbert, Marcus King work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Amanda Thompson's week in their local time is as follows:\nMonday: Booked at the following times: from 10:37 to 12:17, from 12:28 to 14:38, from 14:48 to 15:38, from 15:50 to 16:20, from 16:53 to 17:43\nTuesday: Booked at the following times: from 9:09 to 10:19, from 10:24 to 11:04, from 11:12 to 11:52, from 13:56 to 15:26, from 15:28 to 15:48, from 16:21 to 17:31\nWednesday: Booked at the following times: from 10:09 to 11:49, from 12:27 to 14:27, from 15:12 to 15:32, from 15:53 to 16:33, from 16:56 to 17:36\nThursday: Booked at the following times: from 9:39 to 11:19, from 12:13 to 13:33\nFriday: Booked at the following times: from 11:51 to 13:01, from 14:12 to 15:32, from 15:49 to 17:39\n\nThe schedule for Kyle Lester's week in their local time is as follows:\nMonday: Booked at the following times: from 10:33 to 12:23, from 12:50 to 14:50\nTuesday: Booked at the following times: from 10:12 to 11:32, from 14:16 to 15:56\nWednesday: Booked at the following times: from 9:15 to 9:55, from 10:33 to 11:13, from 12:54 to 13:44, from 15:11 to 17:01\nThursday: Booked at the following times: from 9:33 to 10:33, from 11:09 to 12:39, from 15:10 to 16:40, from 17:06 to 17:26\nFriday: Booked at the following times: from 10:04 to 12:24, from 12:32 to 14:22, from 14:58 to 17:28\n\nThe schedule for Joan Gilbert's week in their local time is as follows:\nMonday: Booked at the following times: from 9:16 to 9:36, from 9:44 to 10:04, from 10:36 to 10:56, from 11:33 to 12:03, from 12:44 to 13:04, from 13:21 to 14:31, from 15:22 to 15:52, from 16:14 to 17:44\nTuesday: Booked at the following times: from 10:41 to 12:21, from 12:58 to 13:48, from 13:50 to 15:20, from 15:33 to 15:53, from 16:32 to 16:52\nWednesday: Booked at the following times: from 9:10 to 9:30, from 9:48 to 10:58, from 12:52 to 15:02, from 15:34 to 16:24, from 16:38 to 17:18\nThursday: Booked at the following times: from 11:38 to 13:28, from 15:11 to 15:41, from 15:59 to 16:29, from 17:10 to 17:50\nFriday: Booked at the following times: from 9:11 to 10:21, from 12:21 to 14:51, from 16:13 to 17:13\n\nThe schedule for Marcus King's week in their local time is as follows:\nMonday: Booked at the following times: from 10:07 to 10:27, from 10:36 to 11:26, from 11:29 to 11:59, from 12:02 to 13:42, from 14:57 to 15:37, from 15:47 to 17:07\nTuesday: Booked at the following times: from 11:53 to 13:53, from 15:18 to 17:48\nWednesday: Booked at the following times: from 9:58 to 10:48, from 12:07 to 13:17, from 13:55 to 14:55, from 16:15 to 16:35, from 17:35 to 17:55\nThursday: Booked at the following times: from 9:13 to 11:43, from 13:07 to 14:07, from 16:21 to 17:11, from 17:12 to 17:52\nFriday: Booked at the following times: from 9:09 to 10:09, from 11:01 to 12:51, from 14:47 to 15:57, from 17:22 to 17:42\n\nAmanda Thompson can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\nKyle Lester is in a timezone that is 1 hour ahead of other participants\nMarcus King can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Amanda Thompson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[637, 737], [748, 878], [888, 938], [950, 980], [1013, 1063]], "Tuesday": [[549, 619], [624, 664], [672, 712], [836, 926], [928, 948], [981, 1051]], "Wednesday": [[609, 709], [747, 867], [912, 932], [953, 993], [1016, 1056]], "Thursday": [[579, 679], [733, 813]], "Friday": [[711, 781], [852, 932], [949, 1059]]}, "free_org": {"Monday": [[540, 637], [737, 748], [878, 888], [938, 950], [980, 1013], [1063, 1080]], "Tuesday": [[540, 549], [619, 624], [664, 672], [712, 836], [926, 928], [948, 981], [1051, 1080]], "Wednesday": [[540, 609], [709, 747], [867, 912], [932, 953], [993, 1016], [1056, 1080]], "Thursday": [[540, 579], [679, 733], [813, 1080]], "Friday": [[540, 711], [781, 852], [932, 949], [1059, 1080]]}, "constraint": ["conflict", 20]}, "Kyle Lester": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[633, 743], [770, 890]], "Tuesday": [[612, 692], [856, 956]], "Wednesday": [[555, 595], [633, 673], [774, 824], [911, 1021]], "Thursday": [[573, 633], [669, 759], [910, 1000], [1026, 1046]], "Friday": [[604, 744], [752, 862], [898, 1048]]}, "free_org": {"Monday": [[540, 633], [743, 770], [890, 1080]], "Tuesday": [[540, 612], [692, 856], [956, 1080]], "Wednesday": [[540, 555], [595, 633], [673, 774], [824, 911], [1021, 1080]], "Thursday": [[540, 573], [633, 669], [759, 910], [1000, 1026], [1046, 1080]], "Friday": [[540, 604], [744, 752], [862, 898], [1048, 1080]]}, "constraint": ["timezone", 1]}, "Joan Gilbert": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[556, 576], [584, 604], [636, 656], [693, 723], [764, 784], [801, 871], [922, 952], [974, 1064]], "Tuesday": [[641, 741], [778, 828], [830, 920], [933, 953], [992, 1012]], "Wednesday": [[550, 570], [588, 658], [772, 902], [934, 984], [998, 1038]], "Thursday": [[698, 808], [911, 941], [959, 989], [1030, 1070]], "Friday": [[551, 621], [741, 891], [973, 1033]]}, "free_org": {"Monday": [[540, 556], [576, 584], [604, 636], [656, 693], [723, 764], [784, 801], [871, 922], [952, 974], [1064, 1080]], "Tuesday": [[540, 641], [741, 778], [828, 830], [920, 933], [953, 992], [1012, 1080]], "Wednesday": [[540, 550], [570, 588], [658, 772], [902, 934], [984, 998], [1038, 1080]], "Thursday": [[540, 698], [808, 911], [941, 959], [989, 1030], [1070, 1080]], "Friday": [[540, 551], [621, 741], [891, 973], [1033, 1080]]}, "constraint": ["none", null]}, "Marcus King": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[607, 627], [636, 686], [689, 719], [722, 822], [897, 937], [947, 1027]], "Tuesday": [[713, 833], [918, 1068]], "Wednesday": [[598, 648], [727, 797], [835, 895], [975, 995], [1055, 1075]], "Thursday": [[553, 703], [787, 847], [981, 1031], [1032, 1072]], "Friday": [[549, 609], [661, 771], [887, 957], [1042, 1062]]}, "free_org": {"Monday": [[540, 607], [627, 636], [686, 689], [719, 722], [822, 897], [937, 947], [1027, 1080]], "Tuesday": [[540, 713], [833, 918], [1068, 1080]], "Wednesday": [[540, 598], [648, 727], [797, 835], [895, 975], [995, 1055], [1075, 1080]], "Thursday": [[540, 553], [703, 787], [847, 981], [1031, 1032], [1072, 1080]], "Friday": [[540, 549], [609, 661], [771, 887], [957, 1042], [1062, 1080]]}, "constraint": ["conflict", 40]}}, "solution": {"max_duration": 18, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAnthony Brown, Julian Perez, Clayton Wong, Larry Woodward, Ronald Ewing work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Anthony Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:36 to 10:06, from 10:50 to 12:40, from 13:22 to 14:12, from 15:38 to 15:58, from 16:11 to 17:51\nTuesday: Booked at the following times: from 11:46 to 12:56, from 14:04 to 16:14\nWednesday: Booked at the following times: from 9:20 to 11:10, from 12:11 to 12:41, from 13:33 to 14:13, from 14:26 to 15:16\nThursday: Booked at the following times: from 10:04 to 12:24, from 13:08 to 14:28, from 15:07 to 15:27, from 16:23 to 17:43\nFriday: Booked at the following times: from 9:50 to 10:40, from 12:05 to 13:25, from 13:37 to 15:47\n\nThe schedule for Julian Perez's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 10:50, from 10:56 to 11:56, from 13:18 to 14:28, from 14:44 to 16:04\nTuesday: Booked at the following times: from 9:11 to 10:21, from 10:29 to 12:29\nWednesday: Booked at the following times: from 9:07 to 10:47, from 10:51 to 11:11, from 11:48 to 12:58, from 14:42 to 15:12, from 15:31 to 16:51, from 16:56 to 17:26\nThursday: Booked at the following times: from 9:11 to 9:31, from 11:07 to 12:47, from 12:59 to 13:29, from 13:32 to 14:52, from 17:04 to 17:44\nFriday: Booked at the following times: from 10:12 to 12:02, from 12:18 to 12:38, from 16:13 to 17:43\n\nThe schedule for Clayton Wong's week in their local time is as follows:\nMonday: Booked at the following times: from 9:38 to 9:58, from 10:19 to 10:49, from 11:39 to 13:09, from 13:25 to 15:15, from 15:39 to 17:09\nTuesday: Booked at the following times: from 9:46 to 10:36, from 10:57 to 13:17, from 14:51 to 15:21, from 15:36 to 16:46\nWednesday: Booked at the following times: from 9:30 to 10:20, from 10:52 to 12:12, from 13:14 to 15:44\nThursday: Booked at the following times: from 10:07 to 11:27, from 11:31 to 12:51, from 13:21 to 15:01, from 16:01 to 16:41, from 17:11 to 17:51\nFriday: Booked at the following times: from 9:30 to 10:20, from 10:54 to 11:54, from 12:41 to 13:51, from 14:11 to 14:51\n\nThe schedule for Larry Woodward's week in their local time is as follows:\nMonday: Booked at the following times: from 9:53 to 12:13, from 12:30 to 14:20, from 14:29 to 15:39\nTuesday: Booked at the following times: from 10:19 to 10:39, from 10:49 to 11:49, from 13:20 to 14:30, from 15:01 to 15:51\nWednesday: Booked at the following times: from 9:36 to 11:56, from 14:10 to 16:20\nThursday: Booked at the following times: from 9:06 to 9:36, from 10:15 to 10:55, from 11:54 to 13:04, from 13:05 to 13:55, from 14:03 to 14:23, from 14:45 to 15:35, from 17:04 to 17:44\nFriday: Booked at the following times: from 9:23 to 9:53, from 11:45 to 12:05, from 12:11 to 13:41, from 14:33 to 15:23, from 15:43 to 16:23\n\nThe schedule for Ronald Ewing's week in their local time is as follows:\nMonday: Booked at the following times: from 9:34 to 10:14, from 11:16 to 12:06, from 12:15 to 12:55, from 13:15 to 13:55, from 14:01 to 14:21, from 14:40 to 16:40, from 16:58 to 17:28\nTuesday: Booked at the following times: from 9:30 to 10:30, from 11:34 to 13:14, from 14:41 to 16:41\nWednesday: Booked at the following times: from 9:38 to 10:08, from 10:37 to 11:17, from 11:18 to 13:18, from 14:43 to 16:43, from 17:06 to 17:36\nThursday: Booked at the following times: from 9:06 to 9:46, from 10:27 to 11:57, from 12:13 to 12:53, from 14:33 to 15:03\nFriday: Booked at the following times: from 9:36 to 10:46, from 11:22 to 12:22, from 14:21 to 16:51\n\nJulian Perez can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nClayton Wong requires 15 minutes free before and after the meeting\nLarry Woodward requires 15 minutes free before and after the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Anthony Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[576, 606], [650, 760], [802, 852], [938, 958], [971, 1071]], "Tuesday": [[706, 776], [844, 974]], "Wednesday": [[560, 670], [731, 761], [813, 853], [866, 916]], "Thursday": [[604, 744], [788, 868], [907, 927], [983, 1063]], "Friday": [[590, 640], [725, 805], [817, 947]]}, "free_org": {"Monday": [[540, 576], [606, 650], [760, 802], [852, 938], [958, 971], [1071, 1080]], "Tuesday": [[540, 706], [776, 844], [974, 1080]], "Wednesday": [[540, 560], [670, 731], [761, 813], [853, 866], [916, 1080]], "Thursday": [[540, 604], [744, 788], [868, 907], [927, 983], [1063, 1080]], "Friday": [[540, 590], [640, 725], [805, 817], [947, 1080]]}, "constraint": ["none", null]}, "Julian Perez": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 650], [656, 716], [798, 868], [884, 964]], "Tuesday": [[551, 621], [629, 749]], "Wednesday": [[547, 647], [651, 671], [708, 778], [882, 912], [931, 1011], [1016, 1046]], "Thursday": [[551, 571], [667, 767], [779, 809], [812, 892], [1024, 1064]], "Friday": [[612, 722], [738, 758], [973, 1063]]}, "free_org": {"Monday": [[540, 610], [650, 656], [716, 798], [868, 884], [964, 1080]], "Tuesday": [[540, 551], [621, 629], [749, 1080]], "Wednesday": [[540, 547], [647, 651], [671, 708], [778, 882], [912, 931], [1011, 1016], [1046, 1080]], "Thursday": [[540, 551], [571, 667], [767, 779], [809, 812], [892, 1024], [1064, 1080]], "Friday": [[540, 612], [722, 738], [758, 973], [1063, 1080]]}, "constraint": ["conflict", 40]}, "Clayton Wong": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[578, 598], [619, 649], [699, 789], [805, 915], [939, 1029]], "Tuesday": [[586, 636], [657, 797], [891, 921], [936, 1006]], "Wednesday": [[570, 620], [652, 732], [794, 944]], "Thursday": [[607, 687], [691, 771], [801, 901], [961, 1001], [1031, 1071]], "Friday": [[570, 620], [654, 714], [761, 831], [851, 891]]}, "free_org": {"Monday": [[540, 578], [598, 619], [649, 699], [789, 805], [915, 939], [1029, 1080]], "Tuesday": [[540, 586], [636, 657], [797, 891], [921, 936], [1006, 1080]], "Wednesday": [[540, 570], [620, 652], [732, 794], [944, 1080]], "Thursday": [[540, 607], [687, 691], [771, 801], [901, 961], [1001, 1031], [1071, 1080]], "Friday": [[540, 570], [620, 654], [714, 761], [831, 851], [891, 1080]]}, "constraint": ["buffer", 15]}, "Larry Woodward": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[593, 733], [750, 860], [869, 939]], "Tuesday": [[619, 639], [649, 709], [800, 870], [901, 951]], "Wednesday": [[576, 716], [850, 980]], "Thursday": [[546, 576], [615, 655], [714, 784], [785, 835], [843, 863], [885, 935], [1024, 1064]], "Friday": [[563, 593], [705, 725], [731, 821], [873, 923], [943, 983]]}, "free_org": {"Monday": [[540, 593], [733, 750], [860, 869], [939, 1080]], "Tuesday": [[540, 619], [639, 649], [709, 800], [870, 901], [951, 1080]], "Wednesday": [[540, 576], [716, 850], [980, 1080]], "Thursday": [[540, 546], [576, 615], [655, 714], [784, 785], [835, 843], [863, 885], [935, 1024], [1064, 1080]], "Friday": [[540, 563], [593, 705], [725, 731], [821, 873], [923, 943], [983, 1080]]}, "constraint": ["buffer", 15]}, "Ronald Ewing": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[574, 614], [676, 726], [735, 775], [795, 835], [841, 861], [880, 1000], [1018, 1048]], "Tuesday": [[570, 630], [694, 794], [881, 1001]], "Wednesday": [[578, 608], [637, 677], [678, 798], [883, 1003], [1026, 1056]], "Thursday": [[546, 586], [627, 717], [733, 773], [873, 903]], "Friday": [[576, 646], [682, 742], [861, 1011]]}, "free_org": {"Monday": [[540, 574], [614, 676], [726, 735], [775, 795], [835, 841], [861, 880], [1000, 1018], [1048, 1080]], "Tuesday": [[540, 570], [630, 694], [794, 881], [1001, 1080]], "Wednesday": [[540, 578], [608, 637], [677, 678], [798, 883], [1003, 1026], [1056, 1080]], "Thursday": [[540, 546], [586, 627], [717, 733], [773, 873], [903, 1080]], "Friday": [[540, 576], [646, 682], [742, 861], [1011, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 44, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAndrew Rogers, James Norman, John Miles, William Mullins, Christopher Walton work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Andrew Rogers's week in their local time is as follows:\nMonday: Booked at the following times: from 10:04 to 11:04, from 12:05 to 13:45, from 16:24 to 17:34\nTuesday: Free only at the following times: anytime before 10:09, from 12:39 to 13:23, from 14:33 to 14:47, from 15:27 to 15:57, anytime after 17:17\nWednesday: Booked at the following times: from 10:58 to 13:18, from 13:50 to 14:20, from 14:39 to 16:39\nThursday: Booked at the following times: from 9:08 to 9:58, from 10:37 to 12:27, from 15:52 to 16:32\nFriday: Booked at the following times: from 10:46 to 11:36, from 11:37 to 13:37\n\nThe schedule for James Norman's week in their local time is as follows:\nMonday: Booked at the following times: from 9:55 to 11:15, from 12:42 to 14:02, from 16:53 to 17:53\nTuesday: Booked at the following times: from 9:49 to 11:09, from 11:18 to 12:18, from 13:26 to 13:46, from 14:01 to 15:01\nWednesday: Booked at the following times: from 9:39 to 11:19, from 12:47 to 13:17, from 15:17 to 17:17, from 17:32 to 17:52\nThursday: Booked at the following times: from 9:29 to 9:59, from 10:13 to 10:53, from 11:34 to 12:54, from 15:57 to 16:57\nFriday: Booked at the following times: from 9:06 to 9:46, from 10:43 to 12:13, from 12:58 to 14:38, from 15:21 to 16:11, from 17:16 to 17:46\n\nThe schedule for John Miles's week in their local time is as follows:\nMonday: Booked at the following times: from 9:05 to 11:35, from 15:15 to 17:25\nTuesday: Booked at the following times: from 9:13 to 11:23, from 11:35 to 12:15, from 12:57 to 14:47, from 15:01 to 16:01\nWednesday: Booked at the following times: from 10:25 to 10:45, from 11:11 to 13:31, from 14:01 to 16:21, from 16:38 to 17:28\nThursday: Booked at the following times: from 9:41 to 11:21, from 11:36 to 13:36, from 13:52 to 14:52, from 15:51 to 16:51\nFriday: Booked at the following times: from 9:13 to 10:23, from 10:41 to 11:21, from 12:20 to 13:50, from 14:44 to 15:24, from 15:25 to 16:35\n\nThe schedule for William Mullins's week in their local time is as follows:\nMonday: Booked at the following times: from 10:56 to 13:06, from 14:10 to 15:20\nTuesday: Booked at the following times: from 12:02 to 12:42, from 13:20 to 14:00, from 14:22 to 16:42\nWednesday: Booked at the following times: from 12:22 to 13:12, from 13:26 to 15:26, from 15:37 to 16:37\nThursday: Booked at the following times: from 9:08 to 9:48, from 10:07 to 11:07, from 11:51 to 12:21, from 12:26 to 12:56, from 14:06 to 14:26, from 14:40 to 15:10, from 15:22 to 15:52, from 16:46 to 17:46\nFriday: Booked at the following times: from 10:19 to 10:59, from 13:45 to 14:15, from 15:16 to 17:46\n\nThe schedule for Christopher Walton's week in their local time is as follows:\nMonday: Booked at the following times: from 9:09 to 10:29, from 11:24 to 12:14, from 12:17 to 12:37, from 14:16 to 14:56, from 15:01 to 16:21\nTuesday: Booked at the following times: from 9:15 to 11:05, from 12:11 to 13:01, from 14:36 to 15:26, from 16:33 to 17:53\nWednesday: Booked at the following times: from 9:03 to 9:53, from 10:01 to 11:11, from 11:15 to 11:45, from 11:53 to 13:03, from 13:37 to 13:57, from 14:54 to 15:14, from 15:40 to 17:00\nThursday: Booked at the following times: from 10:09 to 12:19, from 12:20 to 13:50, from 13:53 to 14:53, from 15:09 to 17:29\nFriday: Booked at the following times: from 11:39 to 14:09, from 16:37 to 17:57\n\nAndrew Rogers is in a timezone that is 1 hour ahead of other participants\nJames Norman needs a break for lunch on Monday from 11:22 to 11:52\nChristopher Walton needs a break for lunch on Tuesday from 11:11 to 11:41\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Andrew Rogers": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[604, 664], [725, 825], [984, 1054]], "Tuesday": [[609, 759], [803, 873], [887, 927], [957, 1017], [1017, 1037]], "Wednesday": [[658, 798], [830, 860], [879, 999]], "Thursday": [[548, 598], [637, 747], [952, 992]], "Friday": [[646, 696], [697, 817]]}, "free_org": {"Monday": [[540, 604], [664, 725], [825, 984], [1054, 1080]], "Tuesday": [[540, 609], [759, 803], [873, 887], [927, 957], [1037, 1080]], "Wednesday": [[540, 658], [798, 830], [860, 879], [999, 1080]], "Thursday": [[540, 548], [598, 637], [747, 952], [992, 1080]], "Friday": [[540, 646], [696, 697], [817, 1080]]}, "constraint": ["timezone", 1]}, "James Norman": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[595, 675], [762, 842], [1013, 1073]], "Tuesday": [[589, 669], [678, 738], [806, 826], [841, 901]], "Wednesday": [[579, 679], [767, 797], [917, 1037], [1052, 1072]], "Thursday": [[569, 599], [613, 653], [694, 774], [957, 1017]], "Friday": [[546, 586], [643, 733], [778, 878], [921, 971], [1036, 1066]]}, "free_org": {"Monday": [[540, 595], [675, 762], [842, 1013], [1073, 1080]], "Tuesday": [[540, 589], [669, 678], [738, 806], [826, 841], [901, 1080]], "Wednesday": [[540, 579], [679, 767], [797, 917], [1037, 1052], [1072, 1080]], "Thursday": [[540, 569], [599, 613], [653, 694], [774, 957], [1017, 1080]], "Friday": [[540, 546], [586, 643], [733, 778], [878, 921], [971, 1036], [1066, 1080]]}, "constraint": ["lunch", ["Monday", [682, 712]]]}, "John Miles": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[545, 695], [915, 1045]], "Tuesday": [[553, 683], [695, 735], [777, 887], [901, 961]], "Wednesday": [[625, 645], [671, 811], [841, 981], [998, 1048]], "Thursday": [[581, 681], [696, 816], [832, 892], [951, 1011]], "Friday": [[553, 623], [641, 681], [740, 830], [884, 924], [925, 995]]}, "free_org": {"Monday": [[540, 545], [695, 915], [1045, 1080]], "Tuesday": [[540, 553], [683, 695], [735, 777], [887, 901], [961, 1080]], "Wednesday": [[540, 625], [645, 671], [811, 841], [981, 998], [1048, 1080]], "Thursday": [[540, 581], [681, 696], [816, 832], [892, 951], [1011, 1080]], "Friday": [[540, 553], [623, 641], [681, 740], [830, 884], [924, 925], [995, 1080]]}, "constraint": ["none", null]}, "William Mullins": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[656, 786], [850, 920]], "Tuesday": [[722, 762], [800, 840], [862, 1002]], "Wednesday": [[742, 792], [806, 926], [937, 997]], "Thursday": [[548, 588], [607, 667], [711, 741], [746, 776], [846, 866], [880, 910], [922, 952], [1006, 1066]], "Friday": [[619, 659], [825, 855], [916, 1066]]}, "free_org": {"Monday": [[540, 656], [786, 850], [920, 1080]], "Tuesday": [[540, 722], [762, 800], [840, 862], [1002, 1080]], "Wednesday": [[540, 742], [792, 806], [926, 937], [997, 1080]], "Thursday": [[540, 548], [588, 607], [667, 711], [741, 746], [776, 846], [866, 880], [910, 922], [952, 1006], [1066, 1080]], "Friday": [[540, 619], [659, 825], [855, 916], [1066, 1080]]}, "constraint": ["none", null]}, "Christopher Walton": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[549, 629], [684, 734], [737, 757], [856, 896], [901, 981]], "Tuesday": [[555, 665], [731, 781], [876, 926], [993, 1073]], "Wednesday": [[543, 593], [601, 671], [675, 705], [713, 783], [817, 837], [894, 914], [940, 1020]], "Thursday": [[609, 739], [740, 830], [833, 893], [909, 1049]], "Friday": [[699, 849], [997, 1077]]}, "free_org": {"Monday": [[540, 549], [629, 684], [734, 737], [757, 856], [896, 901], [981, 1080]], "Tuesday": [[540, 555], [665, 731], [781, 876], [926, 993], [1073, 1080]], "Wednesday": [[540, 543], [593, 601], [671, 675], [705, 713], [783, 817], [837, 894], [914, 940], [1020, 1080]], "Thursday": [[540, 609], [739, 740], [830, 833], [893, 909], [1049, 1080]], "Friday": [[540, 699], [849, 997], [1077, 1080]]}, "constraint": ["lunch", ["Tuesday", [671, 701]]]}}, "solution": {"max_duration": 9, "count": 1}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAllison Grant, Rachel Hunt, Daniel Brown, Zachary Lam work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Allison Grant's week in their local time is as follows:\nMonday: Booked at the following times: from 9:31 to 10:21, from 10:28 to 11:48, from 12:39 to 12:59, from 13:01 to 13:41, from 14:44 to 15:34, from 16:39 to 17:09\nTuesday: Booked at the following times: from 9:35 to 11:35, from 11:42 to 13:02, from 14:05 to 15:15, from 16:11 to 16:41\nWednesday: Booked at the following times: from 11:39 to 12:09, from 13:10 to 14:10, from 14:22 to 14:42, from 16:24 to 17:24\nThursday: Free only at the following times: anytime before 9:37, from 9:57 to 10:16, from 11:16 to 12:10, from 14:20 to 16:05, from 16:35 to 16:36, anytime after 17:26\nFriday: Free only at the following times: anytime before 9:26, from 10:26 to 10:33, from 11:33 to 12:52, from 13:22 to 13:40, from 15:20 to 15:37, anytime after 17:37\n\nThe schedule for Rachel Hunt's week in their local time is as follows:\nMonday: Booked at the following times: from 9:59 to 11:59, from 13:08 to 13:28, from 15:51 to 16:41, from 17:26 to 17:46\nTuesday: Booked at the following times: from 9:28 to 9:58, from 10:24 to 11:24, from 11:48 to 13:28, from 15:38 to 16:58\nWednesday: Booked at the following times: from 11:16 to 13:46, from 13:48 to 14:48\nThursday: Booked at the following times: from 9:01 to 11:21, from 14:23 to 15:33\nFriday: Booked at the following times: from 10:11 to 10:41, from 11:05 to 11:35, from 11:58 to 13:48, from 15:31 to 17:11, from 17:15 to 17:35\n\nThe schedule for Daniel Brown's week in their local time is as follows:\nMonday: Booked at the following times: from 9:42 to 10:52, from 11:24 to 11:44, from 11:56 to 12:46, from 12:54 to 14:34, from 14:57 to 15:27, from 16:18 to 16:58\nTuesday: Booked at the following times: from 9:06 to 9:26, from 10:36 to 11:56, from 12:10 to 13:50, from 15:08 to 16:08, from 17:26 to 17:46\nWednesday: Booked at the following times: from 10:20 to 10:50, from 10:59 to 11:19, from 11:51 to 13:21, from 13:38 to 14:48, from 16:08 to 16:58\nThursday: Booked at the following times: from 10:52 to 12:12, from 13:12 to 13:42, from 14:45 to 17:05\nFriday: Booked at the following times: from 9:21 to 10:01, from 11:11 to 13:41, from 13:42 to 15:32, from 16:12 to 17:22\n\nThe schedule for Zachary Lam's week in their local time is as follows:\nMonday: Booked at the following times: from 10:11 to 11:51, from 12:00 to 13:40, from 13:59 to 14:29\nTuesday: Booked at the following times: from 10:30 to 11:10, from 11:49 to 12:19, from 12:24 to 14:04, from 14:14 to 16:34\nWednesday: Booked at the following times: from 9:17 to 10:17, from 11:05 to 11:25, from 11:40 to 13:00, from 13:29 to 13:49, from 14:07 to 14:37, from 15:24 to 16:14\nThursday: Booked at the following times: from 9:11 to 9:51, from 10:36 to 12:56, from 13:00 to 14:30, from 15:33 to 16:53\nFriday: Booked at the following times: from 11:38 to 11:58, from 12:20 to 14:00, from 14:28 to 16:58\n\nAllison Grant is in a timezone that is 3 hours ahead of other participants\nRachel Hunt needs a break for lunch on Thursday from 12:30 to 13:00\nDaniel Brown requires 10 minutes free before and after the meeting\nZachary Lam needs a break for lunch on Friday from 11:00 to 11:30\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Allison Grant": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[571, 621], [628, 708], [759, 779], [781, 821], [884, 934], [999, 1029]], "Tuesday": [[575, 695], [702, 782], [845, 915], [971, 1001]], "Wednesday": [[699, 729], [790, 850], [862, 882], [984, 1044]], "Thursday": [[577, 597], [616, 676], [730, 800], [800, 860], [965, 995], [996, 1046]], "Friday": [[566, 626], [633, 693], [772, 802], [820, 920], [937, 957], [957, 1057]]}, "free_org": {"Monday": [[540, 571], [621, 628], [708, 759], [779, 781], [821, 884], [934, 999], [1029, 1080]], "Tuesday": [[540, 575], [695, 702], [782, 845], [915, 971], [1001, 1080]], "Wednesday": [[540, 699], [729, 790], [850, 862], [882, 984], [1044, 1080]], "Thursday": [[540, 577], [597, 616], [676, 730], [860, 965], [995, 996], [1046, 1080]], "Friday": [[540, 566], [626, 633], [693, 772], [802, 820], [920, 937], [1057, 1080]]}, "constraint": ["timezone", 3]}, "Rachel Hunt": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[599, 719], [788, 808], [951, 1001], [1046, 1066]], "Tuesday": [[568, 598], [624, 684], [708, 808], [938, 1018]], "Wednesday": [[676, 826], [828, 888]], "Thursday": [[541, 681], [863, 933]], "Friday": [[611, 641], [665, 695], [718, 828], [931, 1031], [1035, 1055]]}, "free_org": {"Monday": [[540, 599], [719, 788], [808, 951], [1001, 1046], [1066, 1080]], "Tuesday": [[540, 568], [598, 624], [684, 708], [808, 938], [1018, 1080]], "Wednesday": [[540, 676], [826, 828], [888, 1080]], "Thursday": [[540, 541], [681, 863], [933, 1080]], "Friday": [[540, 611], [641, 665], [695, 718], [828, 931], [1031, 1035], [1055, 1080]]}, "constraint": ["lunch", ["Thursday", [750, 780]]]}, "Daniel Brown": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[582, 652], [684, 704], [716, 766], [774, 874], [897, 927], [978, 1018]], "Tuesday": [[546, 566], [636, 716], [730, 830], [908, 968], [1046, 1066]], "Wednesday": [[620, 650], [659, 679], [711, 801], [818, 888], [968, 1018]], "Thursday": [[652, 732], [792, 822], [885, 1025]], "Friday": [[561, 601], [671, 821], [822, 932], [972, 1042]]}, "free_org": {"Monday": [[540, 582], [652, 684], [704, 716], [766, 774], [874, 897], [927, 978], [1018, 1080]], "Tuesday": [[540, 546], [566, 636], [716, 730], [830, 908], [968, 1046], [1066, 1080]], "Wednesday": [[540, 620], [650, 659], [679, 711], [801, 818], [888, 968], [1018, 1080]], "Thursday": [[540, 652], [732, 792], [822, 885], [1025, 1080]], "Friday": [[540, 561], [601, 671], [821, 822], [932, 972], [1042, 1080]]}, "constraint": ["buffer", 10]}, "Zachary Lam": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[611, 711], [720, 820], [839, 869]], "Tuesday": [[630, 670], [709, 739], [744, 844], [854, 994]], "Wednesday": [[557, 617], [665, 685], [700, 780], [809, 829], [847, 877], [924, 974]], "Thursday": [[551, 591], [636, 776], [780, 870], [933, 1013]], "Friday": [[698, 718], [740, 840], [868, 1018]]}, "free_org": {"Monday": [[540, 611], [711, 720], [820, 839], [869, 1080]], "Tuesday": [[540, 630], [670, 709], [739, 744], [844, 854], [994, 1080]], "Wednesday": [[540, 557], [617, 665], [685, 700], [780, 809], [829, 847], [877, 924], [974, 1080]], "Thursday": [[540, 551], [591, 636], [776, 780], [870, 933], [1013, 1080]], "Friday": [[540, 698], [718, 740], [840, 868], [1018, 1080]]}, "constraint": ["lunch", ["Friday", [660, 690]]]}}, "solution": {"max_duration": 22, "count": 2}}}
{"data_source": "BbehTemporalSequences", "prompt": "You are an intelligent assistant specializing in solving custom puzzle problems. Now the puzzle is Temporal Sequence.\nIn this task, the calendar schedules of a few people is provided for an entire week. The blocked times for the calendar of each person is sampled randomly, and is provided as text either by giving the times of the day when it is blocked or giving the times of the day when it is free.\nThe goal is to find: 1- the longest meeting that can be scheduled for them, and 2- the number of possibilities for such a meeting.\nThese people may also have some constraints or we might have some information about them that has to be taken into account for meeting scheduling. Examples include: being in a different timezone than the other participants, needing some free time before and after the meeting, requiring some free time for lunch, etc.\n\nAshley Hill, Bradley Blair, Nancy Thompson, Michael Mcneil, Rita Berg, Tara Johnson DDS work from 9:00 to 18:00 their local time on weekdays. They want to have a meeting some time this week.\n\nThe schedule for Ashley Hill's week in their local time is as follows:\nMonday: Booked at the following times: from 10:01 to 10:41, from 12:12 to 13:22, from 14:24 to 16:14, from 16:36 to 17:06\nTuesday: Booked at the following times: from 9:48 to 11:08, from 12:10 to 12:30, from 13:02 to 14:12, from 16:23 to 17:03\nWednesday: Booked at the following times: from 10:43 to 12:53, from 13:13 to 15:23\nThursday: Booked at the following times: from 9:11 to 9:31, from 9:48 to 10:48, from 10:55 to 11:15, from 11:46 to 12:16, from 12:34 to 13:04, from 13:26 to 14:16, from 15:03 to 15:53, from 16:26 to 17:06, from 17:33 to 17:53\nFriday: Free only at the following times: anytime before 10:19, from 11:39 to 12:27, from 13:47 to 13:48, from 14:48 to 15:29, anytime after 16:39\n\nThe schedule for Bradley Blair's week in their local time is as follows:\nMonday: Booked at the following times: from 9:33 to 11:43, from 12:27 to 13:47, from 14:01 to 14:51, from 16:10 to 16:30\nTuesday: Booked at the following times: from 9:06 to 9:36, from 10:15 to 11:45, from 12:34 to 12:54, from 13:15 to 13:35, from 13:47 to 15:47, from 15:51 to 16:11, from 17:07 to 17:37\nWednesday: Booked at the following times: from 10:36 to 11:46, from 11:59 to 13:39, from 15:26 to 17:46\nThursday: Booked at the following times: from 9:04 to 9:24, from 10:25 to 12:35, from 13:30 to 14:50, from 14:55 to 16:25\nFriday: Booked at the following times: from 9:20 to 11:50, from 12:00 to 14:20, from 15:08 to 17:38\n\nThe schedule for Nancy Thompson's week in their local time is as follows:\nMonday: Booked at the following times: from 12:03 to 14:33, from 15:13 to 16:13, from 17:08 to 17:48\nTuesday: Free only at the following times: anytime before 9:09, from 11:29 to 11:45, from 12:25 to 15:39, from 15:59 to 16:12, from 16:52 to 17:00\nWednesday: Booked at the following times: from 9:58 to 10:48, from 11:11 to 11:51, from 12:04 to 12:24, from 12:28 to 12:48, from 13:09 to 14:09, from 14:49 to 16:29, from 16:47 to 17:17\nThursday: Booked at the following times: from 10:30 to 11:30, from 12:59 to 14:49, from 15:22 to 17:02\nFriday: Booked at the following times: from 9:13 to 10:03, from 11:19 to 13:29, from 14:02 to 14:32, from 14:43 to 16:33\n\nThe schedule for Michael Mcneil's week in their local time is as follows:\nMonday: Booked at the following times: from 9:48 to 10:38, from 10:45 to 12:35, from 12:57 to 13:57, from 15:26 to 15:56, from 15:58 to 16:38, from 16:45 to 17:55\nTuesday: Booked at the following times: from 10:42 to 12:12, from 13:18 to 15:18, from 15:56 to 17:36\nWednesday: Booked at the following times: from 9:22 to 11:12, from 11:41 to 13:31, from 15:43 to 17:23\nThursday: Booked at the following times: from 9:10 to 9:30, from 12:30 to 15:00, from 15:17 to 17:27\nFriday: Booked at the following times: from 10:47 to 11:07, from 11:41 to 13:11, from 15:24 to 17:04\n\nThe schedule for Rita Berg's week in their local time is as follows:\nMonday: Booked at the following times: from 10:10 to 11:00, from 11:04 to 13:04, from 14:49 to 16:49\nTuesday: Booked at the following times: from 9:53 to 12:13, from 15:25 to 17:45\nWednesday: Booked at the following times: from 10:45 to 12:35, from 12:58 to 13:58, from 15:12 to 15:32, from 16:12 to 16:42, from 16:43 to 17:03\nThursday: Booked at the following times: from 9:36 to 9:56, from 12:24 to 14:34, from 15:11 to 16:21\nFriday: Booked at the following times: from 11:14 to 12:14, from 14:39 to 17:09\n\nThe schedule for Tara Johnson DDS's week in their local time is as follows:\nMonday: Booked at the following times: from 9:07 to 10:37, from 12:00 to 13:20, from 14:34 to 16:14\nTuesday: Booked at the following times: from 9:21 to 11:31, from 12:27 to 13:07, from 13:18 to 14:38, from 14:57 to 15:57, from 17:16 to 17:56\nWednesday: Booked at the following times: from 9:29 to 10:39, from 11:50 to 14:00, from 15:21 to 16:01, from 16:11 to 17:11\nThursday: Booked at the following times: from 10:33 to 12:43, from 12:46 to 14:56, from 15:05 to 15:45\nFriday: Booked at the following times: from 10:50 to 12:30, from 14:46 to 16:46\n\nAshley Hill is in a timezone that is 2 hours ahead of other participants\nNancy Thompson can clear any meeting of 40 minutes or less from their schedule to accommodate the meeting\nMichael Mcneil needs a break for lunch on Friday from 11:08 to 11:38\nRita Berg can clear any meeting of 20 minutes or less from their schedule to accommodate the meeting\n\nLet X be the length of the longest meeting (in minutes) that can be scheduled. Also, let Y be number of possible options of such meetings. Compute X and Y and report them separated by a comma (e.g., 45, 3). If X is 0, report 0, 0.\n\n**Instruction for Answer Submission**  \nAfter analyzing the schedules and constraints, provide your answer in the following format:  \n`Final Answer: \\boxed{X,Y}`  \nWhere:  \n- `X` = Length of longest possible meeting (minutes)  \n- `Y` = Number of possible options of such meetings", "ground_truth": {"people": {"Ashley Hill": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[601, 641], [732, 802], [864, 974], [996, 1026]], "Tuesday": [[588, 668], [730, 750], [782, 852], [983, 1023]], "Wednesday": [[643, 773], [793, 923]], "Thursday": [[551, 571], [588, 648], [655, 675], [706, 736], [754, 784], [806, 856], [903, 953], [986, 1026], [1053, 1073]], "Friday": [[619, 659], [659, 699], [747, 827], [828, 888], [929, 999]]}, "free_org": {"Monday": [[540, 601], [641, 732], [802, 864], [974, 996], [1026, 1080]], "Tuesday": [[540, 588], [668, 730], [750, 782], [852, 983], [1023, 1080]], "Wednesday": [[540, 643], [773, 793], [923, 1080]], "Thursday": [[540, 551], [571, 588], [648, 655], [675, 706], [736, 754], [784, 806], [856, 903], [953, 986], [1026, 1053], [1073, 1080]], "Friday": [[540, 619], [699, 747], [827, 828], [888, 929], [999, 1080]]}, "constraint": ["timezone", 2]}, "Bradley Blair": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[573, 703], [747, 827], [841, 891], [970, 990]], "Tuesday": [[546, 576], [615, 705], [754, 774], [795, 815], [827, 947], [951, 971], [1027, 1057]], "Wednesday": [[636, 706], [719, 819], [926, 1066]], "Thursday": [[544, 564], [625, 755], [810, 890], [895, 985]], "Friday": [[560, 710], [720, 860], [908, 1058]]}, "free_org": {"Monday": [[540, 573], [703, 747], [827, 841], [891, 970], [990, 1080]], "Tuesday": [[540, 546], [576, 615], [705, 754], [774, 795], [815, 827], [947, 951], [971, 1027], [1057, 1080]], "Wednesday": [[540, 636], [706, 719], [819, 926], [1066, 1080]], "Thursday": [[540, 544], [564, 625], [755, 810], [890, 895], [985, 1080]], "Friday": [[540, 560], [710, 720], [860, 908], [1058, 1080]]}, "constraint": ["none", null]}, "Nancy Thompson": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[723, 873], [913, 973], [1028, 1068]], "Tuesday": [[549, 689], [705, 745], [939, 959], [972, 1012], [1020, 1080]], "Wednesday": [[598, 648], [671, 711], [724, 744], [748, 768], [789, 849], [889, 989], [1007, 1037]], "Thursday": [[630, 690], [779, 889], [922, 1022]], "Friday": [[553, 603], [679, 809], [842, 872], [883, 993]]}, "free_org": {"Monday": [[540, 723], [873, 913], [973, 1028], [1068, 1080]], "Tuesday": [[540, 549], [689, 705], [745, 939], [959, 972], [1012, 1020]], "Wednesday": [[540, 598], [648, 671], [711, 724], [744, 748], [768, 789], [849, 889], [989, 1007], [1037, 1080]], "Thursday": [[540, 630], [690, 779], [889, 922], [1022, 1080]], "Friday": [[540, 553], [603, 679], [809, 842], [872, 883], [993, 1080]]}, "constraint": ["conflict", 40]}, "Michael Mcneil": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[588, 638], [645, 755], [777, 837], [926, 956], [958, 998], [1005, 1075]], "Tuesday": [[642, 732], [798, 918], [956, 1056]], "Wednesday": [[562, 672], [701, 811], [943, 1043]], "Thursday": [[550, 570], [750, 900], [917, 1047]], "Friday": [[647, 667], [701, 791], [924, 1024]]}, "free_org": {"Monday": [[540, 588], [638, 645], [755, 777], [837, 926], [956, 958], [998, 1005], [1075, 1080]], "Tuesday": [[540, 642], [732, 798], [918, 956], [1056, 1080]], "Wednesday": [[540, 562], [672, 701], [811, 943], [1043, 1080]], "Thursday": [[540, 550], [570, 750], [900, 917], [1047, 1080]], "Friday": [[540, 647], [667, 701], [791, 924], [1024, 1080]]}, "constraint": ["lunch", ["Friday", [668, 698]]]}, "Rita Berg": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[610, 660], [664, 784], [889, 1009]], "Tuesday": [[593, 733], [925, 1065]], "Wednesday": [[645, 755], [778, 838], [912, 932], [972, 1002], [1003, 1023]], "Thursday": [[576, 596], [744, 874], [911, 981]], "Friday": [[674, 734], [879, 1029]]}, "free_org": {"Monday": [[540, 610], [660, 664], [784, 889], [1009, 1080]], "Tuesday": [[540, 593], [733, 925], [1065, 1080]], "Wednesday": [[540, 645], [755, 778], [838, 912], [932, 972], [1002, 1003], [1023, 1080]], "Thursday": [[540, 576], [596, 744], [874, 911], [981, 1080]], "Friday": [[540, 674], [734, 879], [1029, 1080]]}, "constraint": ["conflict", 20]}, "Tara Johnson DDS": {"work_hours_org": {"Monday": [540, 1080], "Tuesday": [540, 1080], "Wednesday": [540, 1080], "Thursday": [540, 1080], "Friday": [540, 1080]}, "busy_org": {"Monday": [[547, 637], [720, 800], [874, 974]], "Tuesday": [[561, 691], [747, 787], [798, 878], [897, 957], [1036, 1076]], "Wednesday": [[569, 639], [710, 840], [921, 961], [971, 1031]], "Thursday": [[633, 763], [766, 896], [905, 945]], "Friday": [[650, 750], [886, 1006]]}, "free_org": {"Monday": [[540, 547], [637, 720], [800, 874], [974, 1080]], "Tuesday": [[540, 561], [691, 747], [787, 798], [878, 897], [957, 1036], [1076, 1080]], "Wednesday": [[540, 569], [639, 710], [840, 921], [961, 971], [1031, 1080]], "Thursday": [[540, 633], [763, 766], [896, 905], [945, 1080]], "Friday": [[540, 650], [750, 886], [1006, 1080]]}, "constraint": ["none", null]}}, "solution": {"max_duration": 40, "count": 1}}}