From 8a4cacc53d32ddece5097de262f79aba48d28dfc Mon Sep 17 00:00:00 2001 From: Andreas Koepf Date: Wed, 19 Feb 2025 22:45:50 +0100 Subject: [PATCH] update GALLERY.md --- GALLERY.md | 596 +++++++++++++++++++++++++++++++++++++++++++---------- 1 file changed, 492 insertions(+), 104 deletions(-) diff --git a/GALLERY.md b/GALLERY.md index b8e13c55..7164e6c4 100644 --- a/GALLERY.md +++ b/GALLERY.md @@ -45,9 +45,11 @@ This gallery shows examples from all available datasets using their default conf - [mini_sudoku](#mini_sudoku) - [n_queens](#n_queens) - [number_filtering](#number_filtering) +- [number_format](#number_format) - [number_sequence](#number_sequence) - [number_sorting](#number_sorting) - [palindrome](#palindrome) +- [palindrome_partitioning](#palindrome_partitioning) - [polynomial_equations](#polynomial_equations) - [polynomial_multiplication](#polynomial_multiplication) - [pool_matrix](#pool_matrix) @@ -808,17 +810,71 @@ size = 500 Example tasks: ```` Example 1: -Question: Convert the base-3 number 220020 to binary +Question: Your task is to convert a number between two different bases. + +If the target base is > 10, use lowercase letters a-z for digits above 9. + +Example: +- Input: Convert the base-9 number 440 to base-5 +- Output: 2420 +- Explanation + - First, we convert the base-9 number 440 to base-10: 4 * 9**2 + 4 * 9**1 + 0 * 9**0 = 324 + 36 + 0 = 360 + - Next, we convert the base-10 number 360 to base-5: + - 360 // 5 = 72 remainder 0 + - 72 // 5 = 14 remainder 2 + - 14 // 5 = 2 remainder 4 + - 2 // 5 = 0 remainder 2 + - Reading the remainders in reverse order gives us the base-5 number 2 4 2 0 + - Hence, the final answer is 2420 + +Now, convert the base-3 number 220020 to binary + Answer: 1010001110 Metadata: {'decimal_value': 654, 'source_base': 3, 'target_base': 2, 'source_repr': '220020', 'target_repr': '1010001110'} Example 2: -Question: Convert the base-6 number 103 to base-13 (use lowercase letters a-z for digits above 9) +Question: Your task is to convert a number between two different bases. + +If the target base is > 10, use lowercase letters a-z for digits above 9. + +Example: +- Input: Convert the base-9 number 440 to base-5 +- Output: 2420 +- Explanation + - First, we convert the base-9 number 440 to base-10: 4 * 9**2 + 4 * 9**1 + 0 * 9**0 = 324 + 36 + 0 = 360 + - Next, we convert the base-10 number 360 to base-5: + - 360 // 5 = 72 remainder 0 + - 72 // 5 = 14 remainder 2 + - 14 // 5 = 2 remainder 4 + - 2 // 5 = 0 remainder 2 + - Reading the remainders in reverse order gives us the base-5 number 2 4 2 0 + - Hence, the final answer is 2420 + +Now, convert the base-6 number 103 to base-13 + Answer: 30 Metadata: {'decimal_value': 39, 'source_base': 6, 'target_base': 13, 'source_repr': '103', 'target_repr': '30'} Example 3: -Question: Convert the base-10 number 418 to base-13 (use lowercase letters a-z for digits above 9) +Question: Your task is to convert a number between two different bases. + +If the target base is > 10, use lowercase letters a-z for digits above 9. + +Example: +- Input: Convert the base-9 number 440 to base-5 +- Output: 2420 +- Explanation + - First, we convert the base-9 number 440 to base-10: 4 * 9**2 + 4 * 9**1 + 0 * 9**0 = 324 + 36 + 0 = 360 + - Next, we convert the base-10 number 360 to base-5: + - 360 // 5 = 72 remainder 0 + - 72 // 5 = 14 remainder 2 + - 14 // 5 = 2 remainder 4 + - 2 // 5 = 0 remainder 2 + - Reading the remainders in reverse order gives us the base-5 number 2 4 2 0 + - Hence, the final answer is 2420 + +Now, convert the base-10 number 418 to base-13 + Answer: 262 Metadata: {'decimal_value': 418, 'source_base': 10, 'target_base': 13, 'source_repr': '418', 'target_repr': '262'} @@ -845,17 +901,17 @@ whitespace = single Example tasks: ```` Example 1: -Question: Put your final answer after '=' without additional text. Calculate -5 * -6 = +Question: Calculate -5 * -6. Ensure to report the answer as an integer. Do not add commas to the integer answers reported. Answer: 30 Metadata: {'num_terms': 2, 'num_digits': 1, 'expression': '-5 * -6'} Example 2: -Question: Put your final answer after '=' without additional text. Calculate 965 / 5 = +Question: Calculate 965 / 5. Ensure to report the answer as an integer. Do not add commas to the integer answers reported. Answer: 193 Metadata: {'num_terms': 2, 'num_digits': 3, 'expression': '965 / 5'} Example 3: -Question: Put your final answer after '=' without additional text. Calculate 0 + -2 + -4 * 0 * 3 = +Question: Calculate 0 + -2 + -4 * 0 * 3. Ensure to report the answer as an integer. Do not add commas to the integer answers reported. Answer: -2 Metadata: {'num_terms': 5, 'num_digits': 1, 'expression': '0 + -2 + -4 * 0 * 3'} @@ -874,23 +930,29 @@ difficulty = 1 Example tasks: ```` Example 1: -Question: This is a BF (Brainf*ck) computer program. What is the output? +Question: This is a BF (Brainf*ck) computer program. What is the output? >[-]>[-]<>++++++++++[<+++++++++++>-]<+.-.+++++.--------------.+++++++++++++++.< + +Respond only with the exact output of the program. Answer: onset Metadata: {'bfit_code': '\nint main() {\n print("onset");\n}\n', 'bf_program': '>[-]>[-]<>++++++++++[<+++++++++++>-]<+.-.+++++.--------------.+++++++++++++++.<'} Example 2: -Question: This is a BF (Brainf*ck) computer program. What is the output? +Question: Consider the following BF (Brainf*ck) code. What would it output? >[-]>[-]<>++++++++[<++++++++++++++>-]<.-----------.+++++++++++++.---------------.+++++.< + +Provide only the exact output of the code. Answer: perch Metadata: {'bfit_code': '\nint main() {\n print("perch");\n}\n', 'bf_program': '>[-]>[-]<>++++++++[<++++++++++++++>-]<.-----------.+++++++++++++.---------------.+++++.<'} Example 3: -Question: This is a BF (Brainf*ck) computer program. What is the output? +Question: This is a BF (Brainf*ck) computer program. What is the output? >[-]>[-]<>+++++++++[<+++++++++++++>-]<.-------.----------.+.+++++++++++++.< + +Respond only with the exact output of the program. Answer: under Metadata: {'bfit_code': '\nint main() {\n print("under");\n}\n', 'bf_program': '>[-]>[-]<>+++++++++[<+++++++++++++>-]<.-------.----------.+.+++++++++++++.<'} @@ -1731,21 +1793,21 @@ Example tasks: Example 1: Question: John is married to Isabella. They have a child called Edward. Edward is married to Victoria. -What is Isabella to Edward? +What is Isabella to Edward? Respond only with the word that describes their relationship. Answer: mother Metadata: {'person1': 'Isabella', 'person2': 'Edward', 'relationship': 'mother', 'family_size': 4} Example 2: Question: Henry is married to Karen. They have a child called Sebastian. Sebastian is married to Eleanor. -What relation is Henry to Karen? +What relation is Henry to Karen? Answer with a single word. Answer: husband Metadata: {'person1': 'Henry', 'person2': 'Karen', 'relationship': 'husband', 'family_size': 4} Example 3: Question: Liam is married to Nova. They have a child called Noah. Noah is married to Charlotte. They have a child called Patricia. Joseph is married to Lisa. They have a child called Charlotte. -What is Liam to Noah? +What is Liam to Noah? Respond only with the word that describes their relationship. Answer: father Metadata: {'person1': 'Liam', 'person2': 'Noah', 'relationship': 'father', 'family_size': 7} @@ -1948,7 +2010,7 @@ size = 500 Example tasks: ```` Example 1: -Question: What will this Game of Life board look like after 1 steps of simulation? Reply as array of array representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) +Question: What will this Game of Life board look like after 1 steps of simulation? Reply as array of array representing rows in the grid from top to bottom in JSON format. Let your answer(array of array be on a single line). (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,1,0,1,1,0,0,0,1,0], [1,0,0,1,0,1,1,1,1,1], @@ -1964,7 +2026,7 @@ Answer: [[0,1,0,0,0,0,0,0,0,0],[1,1,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0, Metadata: {'grid_size_x': 10, 'grid_size_y': 10, 'filled_cells': 100, 'simulation_steps': 1} Example 2: -Question: What will this Game of Life board look like after 1 steps of simulation? Reply as array of array representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) +Question: What will this Game of Life board look like after 1 steps of simulation? Reply as array of array representing rows in the grid from top to bottom in JSON format. Let your answer(array of array be on a single line). (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[1,1,1,1,1,1,0,1,1,1], [0,0,1,1,1,1,1,1,1,1], @@ -1980,7 +2042,7 @@ Answer: [[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0],[0,1, Metadata: {'grid_size_x': 10, 'grid_size_y': 10, 'filled_cells': 100, 'simulation_steps': 1} Example 3: -Question: What will this Game of Life board look like after 1 steps of simulation? Reply as array of array representing rows in the grid from top to bottom in JSON format. (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) +Question: What will this Game of Life board look like after 1 steps of simulation? Reply as array of array representing rows in the grid from top to bottom in JSON format. Let your answer(array of array be on a single line). (An empty 3x3 grid would look like this: [[0,0,0],[0,0,0],[0,0,0]]) [[0,1,0,1,1,1,1,0,0,1], [0,1,0,0,1,1,1,0,1,1], @@ -2050,7 +2112,7 @@ Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] Edges: [(0, 2), (0, 3), (0, 4), (0, 8), (1, 2), (1, 3), (1, 5), (1, 6), (1, 9), (2, 5), (2, 8), (2, 9), (3, 5), (3, 6), (3, 7), (4, 9), (6, 9), (7, 8), (7, 9), (8, 9)] Possible colors: [1, 2, 3, 4] -Return your solution as a JSON map of verteces to colors. (For example: {0: 1, 1: 2, 2: 3}) +Return your solution as a JSON map of vertices to colors. (For example: {0: 1, 1: 2, 2: 3}) Answer: None Metadata: {'possible_answer': {0: 1, 1: 1, 2: 2, 3: 2, 4: 2, 5: 3, 6: 3, 7: 1, 8: 3, 9: 4}, 'puzzle': {'vertices': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 'edges': [(0, 2), (0, 3), (0, 4), (0, 8), (1, 2), (1, 3), (1, 5), (1, 6), (1, 9), (2, 5), (2, 8), (2, 9), (3, 5), (3, 6), (3, 7), (4, 9), (6, 9), (7, 8), (7, 9), (8, 9)], 'num_colors': 4, 'color_options': [1, 2, 3, 4]}} @@ -2062,7 +2124,7 @@ Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] Edges: [(0, 1), (0, 3), (0, 9), (1, 3), (1, 8), (2, 4), (2, 5), (3, 6), (3, 7), (3, 8), (4, 6), (4, 9), (6, 7), (7, 9)] Possible colors: [1, 2, 3, 4] -Return your solution as a JSON map of verteces to colors. (For example: {0: 1, 1: 2, 2: 3}) +Return your solution as a JSON map of vertices to colors. (For example: {0: 1, 1: 2, 2: 3}) Answer: None Metadata: {'possible_answer': {0: 1, 1: 2, 2: 1, 3: 3, 4: 2, 5: 2, 6: 1, 7: 2, 8: 1, 9: 3}, 'puzzle': {'vertices': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 'edges': [(0, 1), (0, 3), (0, 9), (1, 3), (1, 8), (2, 4), (2, 5), (3, 6), (3, 7), (3, 8), (4, 6), (4, 9), (6, 7), (7, 9)], 'num_colors': 4, 'color_options': [1, 2, 3, 4]}} @@ -2074,7 +2136,7 @@ Vertices: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] Edges: [(0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 5), (1, 8), (1, 9), (2, 5), (2, 6), (2, 7), (2, 9), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (4, 8), (5, 8), (6, 9)] Possible colors: [1, 2, 3, 4] -Return your solution as a JSON map of verteces to colors. (For example: {0: 1, 1: 2, 2: 3}) +Return your solution as a JSON map of vertices to colors. (For example: {0: 1, 1: 2, 2: 3}) Answer: None Metadata: {'possible_answer': {0: 1, 1: 1, 2: 1, 3: 1, 4: 2, 5: 3, 6: 3, 7: 3, 8: 4, 9: 2}, 'puzzle': {'vertices': [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], 'edges': [(0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 5), (1, 8), (1, 9), (2, 5), (2, 6), (2, 7), (2, 9), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (4, 8), (5, 8), (6, 9)], 'num_colors': 4, 'color_options': [1, 2, 3, 4]}} @@ -2699,17 +2761,83 @@ size = 500 Example tasks: ```` Example 1: -Question: Unscramble these words: ew hsall eb ebla ot puodrce +Question: Your task is to unsramble words in a sentence. + +For each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words. + +The order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.). + +Example: +- Input: Unscramble these words: raendgmeins yWh nya hilcd anc od hatt +- Output: meanderings Why any child can do that +- Explanation + - We unscramble each of the words independently. + - raendgmeins -> meanderings + - yWh -> Why + - nya -> any + - hilcd -> child + - anc -> can + - od -> do + - hatt -> that + - The final answer is: meanderings Why any child can do that + - Notice that the order of the words is preserved, no new words / symbols (e.g. new lines) are added. + +Now, unscramble these words: ew hsall eb ebla ot puodrce + Answer: we shall be able to produce Metadata: {'num_words': 6, 'corruption_level': 0.12000860417813355, 'scrambled_words': ['ew', 'hsall', 'eb', 'ebla', 'ot', 'puodrce'], 'original_words': ['we', 'shall', 'be', 'able', 'to', 'produce']} Example 2: -Question: Unscramble these words: ni oiurnalmsj Well Cahs +Question: Your task is to unsramble words in a sentence. + +For each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words. + +The order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.). + +Example: +- Input: Unscramble these words: raendgmeins yWh nya hilcd anc od hatt +- Output: meanderings Why any child can do that +- Explanation + - We unscramble each of the words independently. + - raendgmeins -> meanderings + - yWh -> Why + - nya -> any + - hilcd -> child + - anc -> can + - od -> do + - hatt -> that + - The final answer is: meanderings Why any child can do that + - Notice that the order of the words is preserved, no new words / symbols (e.g. new lines) are added. + +Now, unscramble these words: ni oiurnalmsj Well Cahs + Answer: in journalism Well Cash Metadata: {'num_words': 4, 'corruption_level': 0.3288673442377109, 'scrambled_words': ['ni', 'oiurnalmsj', 'Well', 'Cahs'], 'original_words': ['in', 'journalism', 'Well', 'Cash']} Example 3: -Question: Unscramble these words: dear rchAdbali keep no nSice yrstyedae atnhks ot oyu rheet si a gain fo sucrbbisesr rM +Question: Your task is to unsramble words in a sentence. + +For each word in a sentence, the letter may have been randomly shuffled. Your task is to unscramble the words. + +The order of the words in the sentence is preserved. Moreover, the style of the sentence is preserved (i.e. punctuation, capitalization, new lines, etc.). + +Example: +- Input: Unscramble these words: raendgmeins yWh nya hilcd anc od hatt +- Output: meanderings Why any child can do that +- Explanation + - We unscramble each of the words independently. + - raendgmeins -> meanderings + - yWh -> Why + - nya -> any + - hilcd -> child + - anc -> can + - od -> do + - hatt -> that + - The final answer is: meanderings Why any child can do that + - Notice that the order of the words is preserved, no new words / symbols (e.g. new lines) are added. + +Now, unscramble these words: dear rchAdbali keep no nSice yrstyedae atnhks ot oyu rheet si a gain fo sucrbbisesr rM + Answer: dear Archibald keep on Since yesterday thanks to you there is a gain of subscribers Mr Metadata: {'num_words': 16, 'corruption_level': 0.516016391169858, 'scrambled_words': ['dear', 'rchAdbali', 'keep', 'no', 'nSice', 'yrstyedae', 'atnhks', 'ot', 'oyu', 'rheet', 'si', 'a', 'gain', 'fo', 'sucrbbisesr', 'rM'], 'original_words': ['dear', 'Archibald', 'keep', 'on', 'Since', 'yesterday', 'thanks', 'to', 'you', 'there', 'is', 'a', 'gain', 'of', 'subscribers', 'Mr']} @@ -2881,23 +3009,35 @@ size = 500 Example tasks: ```` Example 1: -Question: Solve this 4x4 Mini Sudoku puzzle: -_ _ _ _ -_ _ _ _ +Question: In 4x4 Mini Sudoku: +- Each row must contain each number from 1-4 exactly once +- Each column must contain each number 1-4 exactly once +- Each 2x2 subgrid must contain each number 1-4 exactly once +Solve this 4x4 Mini Sudoku puzzle: +4 _ _ _ +_ 3 _ _ _ 1 3 _ -_ 4 _ 1 +_ _ _ _ +Format your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows. + Answer: 4 2 1 3 1 3 4 2 2 1 3 4 3 4 2 1 -Metadata: {'puzzle': [[0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 3, 0], [0, 4, 0, 1]], 'solution': [[4, 2, 1, 3], [1, 3, 4, 2], [2, 1, 3, 4], [3, 4, 2, 1]], 'num_empty': 12} +Metadata: {'puzzle': [[4, 0, 0, 0], [0, 3, 0, 0], [0, 1, 3, 0], [0, 0, 0, 0]], 'solution': [[4, 2, 1, 3], [1, 3, 4, 2], [2, 1, 3, 4], [3, 4, 2, 1]], 'num_empty': 12} Example 2: -Question: Solve this 4x4 Mini Sudoku puzzle: +Question: In 4x4 Mini Sudoku: +- Each row must contain each number from 1-4 exactly once +- Each column must contain each number 1-4 exactly once +- Each 2x2 subgrid must contain each number 1-4 exactly once +Solve this 4x4 Mini Sudoku puzzle: 3 _ _ _ _ _ 4 _ 4 2 _ _ _ _ _ 4 +Format your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows. + Answer: 3 4 1 2 2 1 4 3 4 2 3 1 @@ -2905,16 +3045,22 @@ Answer: 3 4 1 2 Metadata: {'puzzle': [[3, 0, 0, 0], [0, 0, 4, 0], [4, 2, 0, 0], [0, 0, 0, 4]], 'solution': [[3, 4, 1, 2], [2, 1, 4, 3], [4, 2, 3, 1], [1, 3, 2, 4]], 'num_empty': 11} Example 3: -Question: Solve this 4x4 Mini Sudoku puzzle: +Question: In 4x4 Mini Sudoku: +- Each row must contain each number from 1-4 exactly once +- Each column must contain each number 1-4 exactly once +- Each 2x2 subgrid must contain each number 1-4 exactly once +Solve this 4x4 Mini Sudoku puzzle: _ _ _ _ 1 3 4 _ -3 1 2 4 -4 _ _ _ +3 _ 2 4 +4 _ _ 1 +Format your response as the puzzle above, with spaces separating each number within a row, and newlines separating rows. + Answer: 2 4 1 3 1 3 4 2 3 1 2 4 4 2 3 1 -Metadata: {'puzzle': [[0, 0, 0, 0], [1, 3, 4, 0], [3, 1, 2, 4], [4, 0, 0, 0]], 'solution': [[2, 4, 1, 3], [1, 3, 4, 2], [3, 1, 2, 4], [4, 2, 3, 1]], 'num_empty': 8} +Metadata: {'puzzle': [[0, 0, 0, 0], [1, 3, 4, 0], [3, 0, 2, 4], [4, 0, 0, 1]], 'solution': [[2, 4, 1, 3], [1, 3, 4, 2], [3, 1, 2, 4], [4, 2, 3, 1]], 'num_empty': 8} ```` @@ -3097,6 +3243,68 @@ Metadata: {'original_numbers': ['4', '-64.7', '-42.1', '-77', '-79.9640', '37.76 ```` +### number_format +Generates Count Bits exercises with configurable difficulty + +Default configuration: +```python +max_num_candidates = 5 +min_n = 1000 +max_n = 1000000000 +max_delta = 1000 +size = 500 +seed = 42 +``` + +Example tasks: +```` +Example 1: +Question: Your task is to pick the largest/smallest number out of several options. + +Example +- Input: Pick the largest number of the following candidates: 857575.23 8.975554e+05 887,555.62 +- Output: 8.975554e+05 +- Explanation: + - Sorting the numbers written in various notations we get: 857575.23 < 887,555.62 < 8.975554e+05 + - Therefore, the largest number is 8.975554e+05 + +Now, pick the largest number of the following candidates: 25011730.212000 25011280.271000 + +Answer: 25011730.212 +Metadata: {'candidates': [25011730.212, 25011280.271], 'solution': 25011730.212, 'formatted_candidates': ['25011730.212000', '25011280.271000'], 'size': 'largest'} + +Example 2: +Question: Your task is to pick the largest/smallest number out of several options. + +Example +- Input: Pick the largest number of the following candidates: 857575.23 8.975554e+05 887,555.62 +- Output: 8.975554e+05 +- Explanation: + - Sorting the numbers written in various notations we get: 857575.23 < 887,555.62 < 8.975554e+05 + - Therefore, the largest number is 8.975554e+05 + +Now, pick the largest number of the following candidates: 286,084,894.213 286,085,419.581 + +Answer: 286085419.581 +Metadata: {'candidates': [286084894.213, 286085419.581], 'solution': 286085419.581, 'formatted_candidates': ['286,084,894.213', '286,085,419.581'], 'size': 'largest'} + +Example 3: +Question: Your task is to pick the largest/smallest number out of several options. + +Example +- Input: Pick the largest number of the following candidates: 857575.23 8.975554e+05 887,555.62 +- Output: 8.975554e+05 +- Explanation: + - Sorting the numbers written in various notations we get: 857575.23 < 887,555.62 < 8.975554e+05 + - Therefore, the largest number is 8.975554e+05 + +Now, pick the largest number of the following candidates: 520020968.942000 520021372.170000 5.200202022530000e+08 520020728.080000 520020548.078000 + +Answer: 520021372.16999996 +Metadata: {'candidates': [520020968.942, 520021372.16999996, 520020202.25299996, 520020728.08, 520020548.07799995], 'solution': 520021372.16999996, 'formatted_candidates': ['520020968.942000', '520021372.170000', '5.200202022530000e+08', '520020728.080000', '520020548.078000'], 'size': 'largest'} + +```` + ### number_sequence Generates number sequence completion tasks with dynamic pattern generation @@ -3251,6 +3459,82 @@ Metadata: {'letters': ['n', 'j', 'n', 'j', 'd', 'j', 's', 's', 'd'], 'generated_ ```` +### palindrome_partitioning +Generates Palindrome Partitioning exercises with configurable difficulty + +Default configuration: +```python +min_string_len = 5 +max_string_len = 15 +max_substring_palindome_len = 5 +size = 500 +seed = 42 +``` + +Example tasks: +```` +Example 1: +Question: Given a string, partition it such that every substring is a palindrome. + +A palindrome is a word that reads the same backward as forward. + +You may return all possible palindrome partitioning in any order. + +Example: +- Input: Partition the following string into palindromes: aab +- Output: [["a","a","b"],["aa","b"]] +- Explanation: + - One way to partition the string is "a" | "a" | "b", where each substring is a palindrome. + - Another way to partition the string is "aa" | "b", where again each substring is a palindrome. + - Therefore, the final result is a list of the two palindrome partitions. + +Partition the following string into palindromes: agegvckakcgnnrw + +Answer: [["a", "g", "e", "g", "v", "c", "k", "a", "k", "c", "g", "n", "n", "r", "w"], ["a", "g", "e", "g", "v", "c", "k", "a", "k", "c", "g", "nn", "r", "w"], ["a", "g", "e", "g", "v", "c", "kak", "c", "g", "n", "n", "r", "w"], ["a", "g", "e", "g", "v", "c", "kak", "c", "g", "nn", "r", "w"], ["a", "g", "e", "g", "v", "ckakc", "g", "n", "n", "r", "w"], ["a", "g", "e", "g", "v", "ckakc", "g", "nn", "r", "w"], ["a", "geg", "v", "c", "k", "a", "k", "c", "g", "n", "n", "r", "w"], ["a", "geg", "v", "c", "k", "a", "k", "c", "g", "nn", "r", "w"], ["a", "geg", "v", "c", "kak", "c", "g", "n", "n", "r", "w"], ["a", "geg", "v", "c", "kak", "c", "g", "nn", "r", "w"], ["a", "geg", "v", "ckakc", "g", "n", "n", "r", "w"], ["a", "geg", "v", "ckakc", "g", "nn", "r", "w"]] +Metadata: {'string': 'agegvckakcgnnrw', 'solution': [['a', 'g', 'e', 'g', 'v', 'c', 'k', 'a', 'k', 'c', 'g', 'n', 'n', 'r', 'w'], ['a', 'g', 'e', 'g', 'v', 'c', 'k', 'a', 'k', 'c', 'g', 'nn', 'r', 'w'], ['a', 'g', 'e', 'g', 'v', 'c', 'kak', 'c', 'g', 'n', 'n', 'r', 'w'], ['a', 'g', 'e', 'g', 'v', 'c', 'kak', 'c', 'g', 'nn', 'r', 'w'], ['a', 'g', 'e', 'g', 'v', 'ckakc', 'g', 'n', 'n', 'r', 'w'], ['a', 'g', 'e', 'g', 'v', 'ckakc', 'g', 'nn', 'r', 'w'], ['a', 'geg', 'v', 'c', 'k', 'a', 'k', 'c', 'g', 'n', 'n', 'r', 'w'], ['a', 'geg', 'v', 'c', 'k', 'a', 'k', 'c', 'g', 'nn', 'r', 'w'], ['a', 'geg', 'v', 'c', 'kak', 'c', 'g', 'n', 'n', 'r', 'w'], ['a', 'geg', 'v', 'c', 'kak', 'c', 'g', 'nn', 'r', 'w'], ['a', 'geg', 'v', 'ckakc', 'g', 'n', 'n', 'r', 'w'], ['a', 'geg', 'v', 'ckakc', 'g', 'nn', 'r', 'w']]} + +Example 2: +Question: Given a string, partition it such that every substring is a palindrome. + +A palindrome is a word that reads the same backward as forward. + +You may return all possible palindrome partitioning in any order. + +Example: +- Input: Partition the following string into palindromes: aab +- Output: [["a","a","b"],["aa","b"]] +- Explanation: + - One way to partition the string is "a" | "a" | "b", where each substring is a palindrome. + - Another way to partition the string is "aa" | "b", where again each substring is a palindrome. + - Therefore, the final result is a list of the two palindrome partitions. + +Partition the following string into palindromes: sesjj + +Answer: [["s", "e", "s", "j", "j"], ["s", "e", "s", "jj"], ["ses", "j", "j"], ["ses", "jj"]] +Metadata: {'string': 'sesjj', 'solution': [['s', 'e', 's', 'j', 'j'], ['s', 'e', 's', 'jj'], ['ses', 'j', 'j'], ['ses', 'jj']]} + +Example 3: +Question: Given a string, partition it such that every substring is a palindrome. + +A palindrome is a word that reads the same backward as forward. + +You may return all possible palindrome partitioning in any order. + +Example: +- Input: Partition the following string into palindromes: aab +- Output: [["a","a","b"],["aa","b"]] +- Explanation: + - One way to partition the string is "a" | "a" | "b", where each substring is a palindrome. + - Another way to partition the string is "aa" | "b", where again each substring is a palindrome. + - Therefore, the final result is a list of the two palindrome partitions. + +Partition the following string into palindromes: owfwofaafsd + +Answer: [["o", "w", "f", "w", "o", "f", "a", "a", "f", "s", "d"], ["o", "w", "f", "w", "o", "f", "aa", "f", "s", "d"], ["o", "w", "f", "w", "o", "faaf", "s", "d"], ["o", "wfw", "o", "f", "a", "a", "f", "s", "d"], ["o", "wfw", "o", "f", "aa", "f", "s", "d"], ["o", "wfw", "o", "faaf", "s", "d"], ["owfwo", "f", "a", "a", "f", "s", "d"], ["owfwo", "f", "aa", "f", "s", "d"], ["owfwo", "faaf", "s", "d"]] +Metadata: {'string': 'owfwofaafsd', 'solution': [['o', 'w', 'f', 'w', 'o', 'f', 'a', 'a', 'f', 's', 'd'], ['o', 'w', 'f', 'w', 'o', 'f', 'aa', 'f', 's', 'd'], ['o', 'w', 'f', 'w', 'o', 'faaf', 's', 'd'], ['o', 'wfw', 'o', 'f', 'a', 'a', 'f', 's', 'd'], ['o', 'wfw', 'o', 'f', 'aa', 'f', 's', 'd'], ['o', 'wfw', 'o', 'faaf', 's', 'd'], ['owfwo', 'f', 'a', 'a', 'f', 's', 'd'], ['owfwo', 'f', 'aa', 'f', 's', 'd'], ['owfwo', 'faaf', 's', 'd']]} + +```` + ### polynomial_equations Generates random polynomial equations of degree in [min_degree, max_degree]. - The polynomial is formed by summing random terms of the form: coeff * x^exponent. @@ -3321,11 +3605,13 @@ min_terms = 2 max_terms = 4 min_value = 1 max_value = 100 -min_degree = 1 +min_degree = 0 max_degree = 3 min_polynomials = 2 max_polynomials = 3 -single_variable = True +variables = ('x', 'y', 'z') +allow_cross_variable_product = False +allow_multivariate_polynomials = False operators = ('+', '-') seed = 42 size = 500 @@ -3334,31 +3620,31 @@ size = 500 Example tasks: ```` Example 1: -Question: Calculate the following: (65*x - 72)*(105*x - 125) +Question: Calculate the following: (-95*z**3 + 18*z)*(-12*z**2 + 78*z - 104) In addition, When doing calculation, Use the following instructions together with your mathematical ingenuity to solve the integral problems ## 1. Use ** instead ^ to represent powers. For example 7*X**2 instead of 7*X^2. ## 2. Always use * when doing all sorts of multiplcation in your reasoning steps and even in reporting answers. -Answer: 6825*x**2 - 15685*x + 9000 -Metadata: {'polynomial_expr': '(65*x - 72)*(105*x - 125)', 'single_variable': True, 'result': '6825*x**2 - 15685*x + 9000'} +Answer: 1140*z**5 - 7410*z**4 + 9664*z**3 + 1404*z**2 - 1872*z +Metadata: {'polynomial_expr': '(-95*z**3 + 18*z)*(-12*z**2 + 78*z - 104)', 'result': '1140*z**5 - 7410*z**4 + 9664*z**3 + 1404*z**2 - 1872*z', 'variables': [z]} Example 2: -Question: Calculate the following: (-9*x**2 - 28*x)*(86*x**2 - 2*x - 13) +Question: Simplify this expression: (-49*x**3 + 77*x + 8)*(8*x**3 - 163*x**2 - 49)*(16*x**3 + 74*x + 98) In addition, When doing calculation, Use the following instructions together with your mathematical ingenuity to solve the integral problems ## 1. Use ** instead ^ to represent powers. For example 7*X**2 instead of 7*X^2. ## 2. Always use * when doing all sorts of multiplcation in your reasoning steps and even in reporting answers. -Answer: -774*x**4 - 2390*x**3 + 173*x**2 + 364*x -Metadata: {'polynomial_expr': '(-9*x**2 - 28*x)*(86*x**2 - 2*x - 13)', 'single_variable': True, 'result': '-774*x**4 - 2390*x**3 + 173*x**2 + 364*x'} +Answer: -6272*x**9 + 127792*x**8 - 19152*x**7 + 391246*x**6 + 807446*x**5 - 746364*x**4 - 1091196*x**3 - 406994*x**2 - 398762*x - 38416 +Metadata: {'polynomial_expr': '(-49*x**3 + 77*x + 8)*(8*x**3 - 163*x**2 - 49)*(16*x**3 + 74*x + 98)', 'result': '-6272*x**9 + 127792*x**8 - 19152*x**7 + 391246*x**6 + 807446*x**5 - 746364*x**4 - 1091196*x**3 - 406994*x**2 - 398762*x - 38416', 'variables': [x]} Example 3: -Question: Calculate the following: (43 - 91*x)*(3*x**2 - 10*x)*(71*x**3 - 2*x - 29) +Question: Calculate the following: (29*y**2 - 49*y)*(21*y**3 + 49) In addition, When doing calculation, Use the following instructions together with your mathematical ingenuity to solve the integral problems ## 1. Use ** instead ^ to represent powers. For example 7*X**2 instead of 7*X^2. ## 2. Always use * when doing all sorts of multiplcation in your reasoning steps and even in reporting answers. -Answer: -19383*x**6 + 73769*x**5 - 29984*x**4 + 5839*x**3 - 29271*x**2 + 12470*x -Metadata: {'polynomial_expr': '(43 - 91*x)*(3*x**2 - 10*x)*(71*x**3 - 2*x - 29)', 'single_variable': True, 'result': '-19383*x**6 + 73769*x**5 - 29984*x**4 + 5839*x**3 - 29271*x**2 + 12470*x'} +Answer: 609*y**5 - 1029*y**4 + 1421*y**2 - 2401*y +Metadata: {'polynomial_expr': '(29*y**2 - 49*y)*(21*y**3 + 49)', 'result': '609*y**5 - 1029*y**4 + 1421*y**2 - 2401*y', 'variables': [y]} ```` @@ -4070,9 +4356,40 @@ size = 500 Example tasks: ```` Example 1: -Question: How many rectangles do you see? Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. +Question: Your task is to count how many rectangles are present in an ASCII grid. - +Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. + +Example: +- Input: How many rectangles are in the grid below? + + #### + # # + #### + + + + + + + + + + + ######### + # █## + # █ # + ########█ # + # # + ### +- Output: 3 +- Explanation: + - The first rectangle is the 3x4 rectangle in the top right. + - The other two rectangles are overlapping in the bottom left corner. + - Therefore, the final answer is 3. + +Now, it's your turn. How many rectangles do you see in the grid below? + @@ -4152,13 +4469,46 @@ Question: How many rectangles do you see? Single rectangles are outlined with a + Answer: 2 +Metadata: {'puzzle': ' \n \n \n \n \n \n \n \n \n \n \n \n \n ################################################## \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n ################################################## \n \n \n \n \n ###################################### \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n ###################################### \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n', 'solution': 2} Example 2: -Question: How many rectangles do you see? Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. +Question: Your task is to count how many rectangles are present in an ASCII grid. - +Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. + +Example: +- Input: How many rectangles are in the grid below? + + #### + # # + #### + + + + + + + + + + + ######### + # █## + # █ # + ########█ # + # # + ### +- Output: 3 +- Explanation: + - The first rectangle is the 3x4 rectangle in the top right. + - The other two rectangles are overlapping in the bottom left corner. + - Therefore, the final answer is 3. + +Now, it's your turn. How many rectangles do you see in the grid below? + @@ -4239,12 +4589,45 @@ Question: How many rectangles do you see? Single rectangles are outlined with a + Answer: 1 +Metadata: {'puzzle': ' \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n ############ \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n ############ \n \n \n \n \n \n \n \n', 'solution': 1} Example 3: -Question: How many rectangles do you see? Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. +Question: Your task is to count how many rectangles are present in an ASCII grid. - +Single rectangles are outlined with a '#', overlapping rectangles (max 2) are shown with '█'. + +Example: +- Input: How many rectangles are in the grid below? + + #### + # # + #### + + + + + + + + + + + ######### + # █## + # █ # + ########█ # + # # + ### +- Output: 3 +- Explanation: + - The first rectangle is the 3x4 rectangle in the top right. + - The other two rectangles are overlapping in the bottom left corner. + - Therefore, the final answer is 3. + +Now, it's your turn. How many rectangles do you see in the grid below? + @@ -4325,7 +4708,9 @@ Question: How many rectangles do you see? Single rectangles are outlined with a ####################### ########################### + Answer: 7 +Metadata: {'puzzle': ' \n \n \n \n \n \n \n \n \n ######################### \n # # \n # # \n # # \n # # \n # ############ \n # ## # \n # ## # \n # ## # \n # ## # \n # ## # \n #####█#######################██#########█# \n # # ## ## \n # # ## ## \n # # ## ## \n # # ## ## \n # # ## ## \n # # ## ## \n # # ## ## \n # # ## ## \n #####█#######################██#########█# \n # ## # \n # ## # \n # ## # \n # ## # \n # ## # \n # ## # \n # ## # \n # ########## ## # \n # # # ############ \n # # # # \n # ########## # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n # # \n ######################### \n \n \n \n \n \n \n \n \n \n \n ####################### \n # # \n # # \n # # \n # # \n # # \n # # \n # ######█### \n # # # # \n # ######█### \n # # ########################### \n # # # # \n # # # # \n ####################### ########################### \n \n', 'solution': 7} ```` @@ -5417,69 +5802,72 @@ Example tasks: ```` Example 1: Question: Solve this Sudoku puzzle: -4 _ _ _ 5 2 _ 3 _ -_ _ 3 4 6 _ _ _ _ -6 1 2 _ _ 8 4 _ _ -1 _ _ _ _ _ 7 9 5 -3 _ _ 7 1 _ _ 2 6 -7 _ _ 5 _ _ _ _ 3 -2 _ _ _ 7 5 _ _ _ -_ 3 _ _ 4 1 _ _ _ -_ _ _ 2 8 _ _ _ 4 -Answer: 4 7 8 1 5 2 6 3 9 -5 9 3 4 6 7 2 8 1 -6 1 2 3 9 8 4 5 7 -1 2 4 8 3 6 7 9 5 -3 5 9 7 1 4 8 2 6 -7 8 6 5 2 9 1 4 3 -2 4 1 9 7 5 3 6 8 -8 3 5 6 4 1 9 7 2 -9 6 7 2 8 3 5 1 4 -Metadata: {'puzzle': [[4, 0, 0, 0, 5, 2, 0, 3, 0], [0, 0, 3, 4, 6, 0, 0, 0, 0], [6, 1, 2, 0, 0, 8, 4, 0, 0], [1, 0, 0, 0, 0, 0, 7, 9, 5], [3, 0, 0, 7, 1, 0, 0, 2, 6], [7, 0, 0, 5, 0, 0, 0, 0, 3], [2, 0, 0, 0, 7, 5, 0, 0, 0], [0, 3, 0, 0, 4, 1, 0, 0, 0], [0, 0, 0, 2, 8, 0, 0, 0, 4]], 'solution': [[4, 7, 8, 1, 5, 2, 6, 3, 9], [5, 9, 3, 4, 6, 7, 2, 8, 1], [6, 1, 2, 3, 9, 8, 4, 5, 7], [1, 2, 4, 8, 3, 6, 7, 9, 5], [3, 5, 9, 7, 1, 4, 8, 2, 6], [7, 8, 6, 5, 2, 9, 1, 4, 3], [2, 4, 1, 9, 7, 5, 3, 6, 8], [8, 3, 5, 6, 4, 1, 9, 7, 2], [9, 6, 7, 2, 8, 3, 5, 1, 4]], 'num_empty': 48} +4 _ _ _ 9 2 _ 3 _ +_ _ 3 4 6 _ _ _ 7 +6 1 2 _ _ 7 8 _ _ +2 _ _ _ _ _ 7 9 1 +8 _ _ 7 1 _ _ 5 6 +1 _ _ 5 _ _ _ _ 3 +9 _ 4 _ 7 1 _ _ _ +_ 8 _ _ _ _ _ _ _ +_ _ _ 9 8 _ _ _ 4 +Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. +Answer: 4 7 8 1 9 2 6 3 5 +5 9 3 4 6 8 1 2 7 +6 1 2 3 5 7 8 4 9 +2 4 5 8 3 6 7 9 1 +8 3 9 7 1 4 2 5 6 +1 6 7 5 2 9 4 8 3 +9 5 4 2 7 1 3 6 8 +3 8 1 6 4 5 9 7 2 +7 2 6 9 8 3 5 1 4 +Metadata: {'puzzle': [[4, 0, 0, 0, 9, 2, 0, 3, 0], [0, 0, 3, 4, 6, 0, 0, 0, 7], [6, 1, 2, 0, 0, 7, 8, 0, 0], [2, 0, 0, 0, 0, 0, 7, 9, 1], [8, 0, 0, 7, 1, 0, 0, 5, 6], [1, 0, 0, 5, 0, 0, 0, 0, 3], [9, 0, 4, 0, 7, 1, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 8, 0, 0, 0, 4]], 'solution': [[4, 7, 8, 1, 9, 2, 6, 3, 5], [5, 9, 3, 4, 6, 8, 1, 2, 7], [6, 1, 2, 3, 5, 7, 8, 4, 9], [2, 4, 5, 8, 3, 6, 7, 9, 1], [8, 3, 9, 7, 1, 4, 2, 5, 6], [1, 6, 7, 5, 2, 9, 4, 8, 3], [9, 5, 4, 2, 7, 1, 3, 6, 8], [3, 8, 1, 6, 4, 5, 9, 7, 2], [7, 2, 6, 9, 8, 3, 5, 1, 4]], 'num_empty': 48} Example 2: Question: Solve this Sudoku puzzle: _ _ _ 1 3 2 6 4 5 -_ 4 _ 7 _ _ _ 9 1 -_ _ 1 8 _ 9 _ _ _ -_ 8 9 _ _ _ 7 5 4 +_ 4 _ 8 5 _ _ 9 _ +_ _ 1 9 _ 7 _ _ _ +_ 8 9 6 _ _ 7 5 4 _ 3 _ 4 _ 1 9 8 _ -4 6 _ 5 9 _ 1 2 3 -5 _ 4 9 1 7 3 _ _ -9 7 6 _ 8 4 5 1 _ +4 6 _ 5 9 _ 2 3 1 +5 _ 4 7 1 9 3 _ _ +9 7 6 _ _ 4 5 1 _ 8 _ 3 _ _ _ 4 7 _ +Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. Answer: 7 9 8 1 3 2 6 4 5 -3 4 2 7 5 6 8 9 1 -6 5 1 8 4 9 2 3 7 +3 4 2 8 5 6 1 9 7 +6 5 1 9 4 7 8 2 3 1 8 9 6 2 3 7 5 4 2 3 5 4 7 1 9 8 6 -4 6 7 5 9 8 1 2 3 -5 2 4 9 1 7 3 6 8 +4 6 7 5 9 8 2 3 1 +5 2 4 7 1 9 3 6 8 9 7 6 3 8 4 5 1 2 8 1 3 2 6 5 4 7 9 -Metadata: {'puzzle': [[0, 0, 0, 1, 3, 2, 6, 4, 5], [0, 4, 0, 7, 0, 0, 0, 9, 1], [0, 0, 1, 8, 0, 9, 0, 0, 0], [0, 8, 9, 0, 0, 0, 7, 5, 4], [0, 3, 0, 4, 0, 1, 9, 8, 0], [4, 6, 0, 5, 9, 0, 1, 2, 3], [5, 0, 4, 9, 1, 7, 3, 0, 0], [9, 7, 6, 0, 8, 4, 5, 1, 0], [8, 0, 3, 0, 0, 0, 4, 7, 0]], 'solution': [[7, 9, 8, 1, 3, 2, 6, 4, 5], [3, 4, 2, 7, 5, 6, 8, 9, 1], [6, 5, 1, 8, 4, 9, 2, 3, 7], [1, 8, 9, 6, 2, 3, 7, 5, 4], [2, 3, 5, 4, 7, 1, 9, 8, 6], [4, 6, 7, 5, 9, 8, 1, 2, 3], [5, 2, 4, 9, 1, 7, 3, 6, 8], [9, 7, 6, 3, 8, 4, 5, 1, 2], [8, 1, 3, 2, 6, 5, 4, 7, 9]], 'num_empty': 34} +Metadata: {'puzzle': [[0, 0, 0, 1, 3, 2, 6, 4, 5], [0, 4, 0, 8, 5, 0, 0, 9, 0], [0, 0, 1, 9, 0, 7, 0, 0, 0], [0, 8, 9, 6, 0, 0, 7, 5, 4], [0, 3, 0, 4, 0, 1, 9, 8, 0], [4, 6, 0, 5, 9, 0, 2, 3, 1], [5, 0, 4, 7, 1, 9, 3, 0, 0], [9, 7, 6, 0, 0, 4, 5, 1, 0], [8, 0, 3, 0, 0, 0, 4, 7, 0]], 'solution': [[7, 9, 8, 1, 3, 2, 6, 4, 5], [3, 4, 2, 8, 5, 6, 1, 9, 7], [6, 5, 1, 9, 4, 7, 8, 2, 3], [1, 8, 9, 6, 2, 3, 7, 5, 4], [2, 3, 5, 4, 7, 1, 9, 8, 6], [4, 6, 7, 5, 9, 8, 2, 3, 1], [5, 2, 4, 7, 1, 9, 3, 6, 8], [9, 7, 6, 3, 8, 4, 5, 1, 2], [8, 1, 3, 2, 6, 5, 4, 7, 9]], 'num_empty': 34} Example 3: Question: Solve this Sudoku puzzle: -_ _ 1 2 3 _ _ _ 9 -3 _ _ 1 8 5 6 7 2 -_ _ _ 4 9 6 1 _ _ -1 _ 5 7 _ _ 9 2 _ -_ 4 _ _ 5 9 7 1 6 -9 _ 6 _ 1 _ 4 5 3 -_ _ 3 9 7 _ 2 8 4 -_ _ 2 6 4 _ _ 9 1 -_ 1 _ 5 2 8 3 _ _ -Answer: 5 6 1 2 3 7 8 4 9 -3 9 4 1 8 5 6 7 2 -8 2 7 4 9 6 1 3 5 -1 3 5 7 6 4 9 2 8 -2 4 8 3 5 9 7 1 6 -9 7 6 8 1 2 4 5 3 -6 5 3 9 7 1 2 8 4 -7 8 2 6 4 3 5 9 1 -4 1 9 5 2 8 3 6 7 -Metadata: {'puzzle': [[0, 0, 1, 2, 3, 0, 0, 0, 9], [3, 0, 0, 1, 8, 5, 6, 7, 2], [0, 0, 0, 4, 9, 6, 1, 0, 0], [1, 0, 5, 7, 0, 0, 9, 2, 0], [0, 4, 0, 0, 5, 9, 7, 1, 6], [9, 0, 6, 0, 1, 0, 4, 5, 3], [0, 0, 3, 9, 7, 0, 2, 8, 4], [0, 0, 2, 6, 4, 0, 0, 9, 1], [0, 1, 0, 5, 2, 8, 3, 0, 0]], 'solution': [[5, 6, 1, 2, 3, 7, 8, 4, 9], [3, 9, 4, 1, 8, 5, 6, 7, 2], [8, 2, 7, 4, 9, 6, 1, 3, 5], [1, 3, 5, 7, 6, 4, 9, 2, 8], [2, 4, 8, 3, 5, 9, 7, 1, 6], [9, 7, 6, 8, 1, 2, 4, 5, 3], [6, 5, 3, 9, 7, 1, 2, 8, 4], [7, 8, 2, 6, 4, 3, 5, 9, 1], [4, 1, 9, 5, 2, 8, 3, 6, 7]], 'num_empty': 33} +_ _ 1 9 2 _ _ _ 3 +3 _ _ 1 7 5 8 2 6 +_ _ _ 4 3 6 1 _ _ +1 _ 5 7 _ _ 9 3 _ +_ 4 _ _ 5 9 7 1 8 +7 _ 9 _ 1 _ 6 4 5 +_ _ 3 5 9 _ 2 8 4 +_ _ 2 6 8 _ _ 9 1 +_ 5 _ 2 4 1 3 _ _ +Respond with only your answer, formatted as the puzzle, a 9x9 grid with numbers separated by spaces, and rows separated by newlines. +Answer: 5 6 1 9 2 8 4 7 3 +3 9 4 1 7 5 8 2 6 +8 2 7 4 3 6 1 5 9 +1 8 5 7 6 4 9 3 2 +2 4 6 3 5 9 7 1 8 +7 3 9 8 1 2 6 4 5 +6 1 3 5 9 7 2 8 4 +4 7 2 6 8 3 5 9 1 +9 5 8 2 4 1 3 6 7 +Metadata: {'puzzle': [[0, 0, 1, 9, 2, 0, 0, 0, 3], [3, 0, 0, 1, 7, 5, 8, 2, 6], [0, 0, 0, 4, 3, 6, 1, 0, 0], [1, 0, 5, 7, 0, 0, 9, 3, 0], [0, 4, 0, 0, 5, 9, 7, 1, 8], [7, 0, 9, 0, 1, 0, 6, 4, 5], [0, 0, 3, 5, 9, 0, 2, 8, 4], [0, 0, 2, 6, 8, 0, 0, 9, 1], [0, 5, 0, 2, 4, 1, 3, 0, 0]], 'solution': [[5, 6, 1, 9, 2, 8, 4, 7, 3], [3, 9, 4, 1, 7, 5, 8, 2, 6], [8, 2, 7, 4, 3, 6, 1, 5, 9], [1, 8, 5, 7, 6, 4, 9, 3, 2], [2, 4, 6, 3, 5, 9, 7, 1, 8], [7, 3, 9, 8, 1, 2, 6, 4, 5], [6, 1, 3, 5, 9, 7, 2, 8, 4], [4, 7, 2, 6, 8, 3, 5, 9, 1], [9, 5, 8, 2, 4, 1, 3, 6, 7]], 'num_empty': 33} ```` @@ -5561,7 +5949,7 @@ Metadata: {'task_type': 'datetime_tz', 'start_time': datetime.datetime(2964, 6, Example 2: Question: A video call started at 09:44 and ended at 12:22. How long was the call? Answer in HH:MM. Answer: 02:38 -Metadata: {'task_type': 'time', 'start_time': datetime.datetime(2025, 2, 16, 9, 44), 'end_time': datetime.datetime(2025, 2, 16, 12, 22), 'format': '%H:%M', 'expected_format': 'HH:MM'} +Metadata: {'task_type': 'time', 'start_time': datetime.datetime(2025, 2, 19, 9, 44), 'end_time': datetime.datetime(2025, 2, 19, 12, 22), 'format': '%H:%M', 'expected_format': 'HH:MM'} Example 3: Question: Calculate the time difference between Sat Dec 22 2677 and Thu Mar 21 2678. Express the result in D days. @@ -5749,22 +6137,22 @@ Example tasks: ```` Example 1: Question: Transform the word ladder 'HAND' to 'GLEE' by changing one letter at a time. - Provide your answer as a comma-separated sequence of uppercase letters without spaces. - Each step must be a valid English word. +Provide your answer as a comma-separated sequence of uppercase letters without spaces. +Each step must be a valid English word. Answer: HAND,HARD,HERD,HEED,FEED,FLED,FLEE,GLEE Metadata: {'start_word': 'HAND', 'end_word': 'GLEE', 'word_length': 4, 'chain_length': 8} Example 2: Question: Transform the word ladder 'JAZZ' to 'DORM' by changing one letter at a time. - Provide your answer as a comma-separated sequence of uppercase letters without spaces. - Each step must be a valid English word. +Provide your answer as a comma-separated sequence of uppercase letters without spaces. +Each step must be a valid English word. Answer: JAZZ,JIZZ,FIZZ,FUZZ,FUZE,FAZE,FARE,FORE,FORM,DORM Metadata: {'start_word': 'JAZZ', 'end_word': 'DORM', 'word_length': 4, 'chain_length': 10} Example 3: Question: Transform the word ladder 'SNOG' to 'SUQS' by changing one letter at a time. - Provide your answer as a comma-separated sequence of uppercase letters without spaces. - Each step must be a valid English word. +Provide your answer as a comma-separated sequence of uppercase letters without spaces. +Each step must be a valid English word. Answer: SNOG,SNOW,SHOW,SHEW,SHES,SUES,SUQS Metadata: {'start_word': 'SNOG', 'end_word': 'SUQS', 'word_length': 4, 'chain_length': 7}