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internbootcamp/bootcamp/kakuro/kakuro.py
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322
internbootcamp/bootcamp/kakuro/kakuro.py
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"""# 谜题训练场开发任务
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## 任务概述
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你是一位资深程序员,我需要你帮我实现一个特定谜题的训练场环境类。这个类继承自`Basebootcamp`,用于生成谜题实例并验证解答。
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## 背景说明
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我正在开发一系列谜题训练场,每个训练场对应一个特定类型的谜题。训练场类命名为`{PuzzleName}bootcamp`,其中`PuzzleName`是谜题的名称。
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每个训练场类主要提供两个核心功能:
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1. 生成该谜题类型的问题实例
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2. 验证用户对问题的回答是否正确
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## 技术接口规范
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### 类方法实现要求
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```python
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class {PuzzleName}bootcamp(Basebootcamp):
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def __init__(self, **params):
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\"\"\"
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请你自定义params,以保存该puzzle相关的参数,例如网格大小等,参数配有默认值
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\"\"\"
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pass
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def case_generator(self):
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\"\"\"
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生成谜题实例,提示:为保证谜题有解,可以先生成结果再对结果处理得到谜题
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返回:一个可JSON序列化的字典(避免包含set等无法通过json.dumps处理的数据结构)
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\"\"\"
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pass
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@staticmethod
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def prompt_func(question_case) -> str:
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\"\"\"
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将case_generator生成的谜题实例转换为文本形式的问题,问题中包含问题背景、对谜题规则的介绍、具体要解决的谜题实例、期望最终答案的格式,
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例如:你是xxxx,请你解答yyyy,规则如下:yyyy,最终答案放置在:zzzzz
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参数:
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question_case: 由case_generator生成的谜题实例
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返回:
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str: 格式化的问题字符串
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注意:
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1. 需考虑问题的格式,以便后续能正确提取
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2. 问题描述中应包含期望的答案格式说明,以便后续能正确提取,为了避免抽取时匹配出干扰项,请要求模型将答案放在特定标签,如[answer] [/answer]内
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\"\"\"
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pass
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@staticmethod
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def extract_output(output):
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\"\"\"
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从LLM的回复中提取符合格式要求的答案,如有多个,请抽取最后一个,避免使用re.search等只抽取第一个结果的方式。
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参数:
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output: LLM的完整输出(包含原始问题和回答)
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返回:
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提取的答案,若未找到符合格式的答案则返回None
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\"\"\"
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pass
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@classmethod
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def _verify_correction(cls, solution, identity):
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\"\"\"
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验证提取的答案是否正确,注意一个问题可以能有多个解,按照谜题规则进行检验,不要直接匹配可能的答案。
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参数:
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solution: extract_output提取的答案
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identity: case_generator生成的谜题实例
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返回:
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bool: 答案是否正确
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\"\"\"
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pass
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```
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### 验证评分方法(基类已实现)
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```python
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@classmethod
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def verify_score(cls, model_output, identity:dict, format_score=0.1) -> float:
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\"\"\"
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验证输出结果并评分。
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参数:
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model_output: 模型的完整输出
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identity: 谜题实例(由case_generator生成)
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format_score: 答案格式正确时的基础分数
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返回:
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float: 评分结果(0-1之间)
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\"\"\"
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score = 0.
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try:
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extract_solution = cls.extract_output(model_output)
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if extract_solution is None:
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return score
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else:
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score = format_score # 格式正确时的基础分数
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if cls._verify_correction(extract_solution, identity):
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score = 1. # 答案完全正确时的满分
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except Exception as e:
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# 处理异常情况
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pass
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return score
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```
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### 使用示例
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```python
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# 初始化谜题训练场
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bootcamp = Puzzlebootcamp()
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# 生成谜题实例
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case = bootcamp.case_generator()
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# 将谜题转换为文本问题
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prompt = Puzzlebootcamp.prompt_func(case)
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# 获取LLM对问题的解答
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response = get_response(prompt, \"LLM\")
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# 从完整对话中提取答案
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extracted_output = Puzzlebootcamp.extract_output(prompt + response)
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# 验证答案并评分
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score = Puzzlebootcamp.verify_score(extracted_output, case)
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```
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## 你的任务
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请根据以下谜题描述(谜题描述可能不完整,请先结合你的知识澄清规则),实现一个完整的谜题训练场类:
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### 谜题描述
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**Kakuro Puzzle Rules:**
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1. **Grid Structure**:
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- The puzzle is played on a grid of white (empty) and black (clue) cells.
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- **Clue cells** (black) contain hints for solving adjacent white cells. Each clue has two components:
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- **Rightward (→)**: Sum of digits in the horizontal sequence of white cells to its right.
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- **Downward (↓)**: Sum of digits in the vertical sequence of white cells below it.
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2. **Digit Placement**:
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- Fill white cells with digits **1–9**.
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- A digit **cannot repeat** within the same horizontal or vertical sequence (referred to as a \"run\").
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3. **Run Constraints**:
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- Each run is defined by a clue cell. For example, a rightward clue of \"12 in 3 cells\" means the three adjacent horizontal cells must sum to 12, with no repeated digits.
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- A white cell can belong to both a horizontal and vertical run simultaneously. Its digit must satisfy **both clues**.
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4. **Key Principles**:
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- **Uniqueness**: All digits in a single run must be distinct.
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- **No Zeros**: Digits must be between 1 and 9.
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- **Interconnected Solutions**: Solving one run provides constraints for intersecting runs.
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**Objective**: Fill all white cells to satisfy all horizontal and vertical clues without violating the rules.
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请完成上述谜题的训练场环境类实现,包括所有必要的方法。
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"""
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from bootcamp import Basebootcamp
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import random
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import re
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from ast import literal_eval
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class Kakurobootcamp(Basebootcamp):
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def __init__(self, rows=3, cols=3):
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self.rows = rows
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self.cols = cols
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def case_generator(self):
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# 生成横向序列的数对
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a, b = self._generate_unique_pair()
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sum_r = a + b
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# 生成纵向序列的数对
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c, d = self._generate_unique_pair()
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sum_d = c + d
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# 构建网格结构
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grid = [[{'type': 'black', 'right': (sum_r, 2), 'down': (sum_d, 2)} if (row == 0 and col == 0) else
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{'type': 'white'} if ((row == 0 and col in (1, 2)) or (col == 0 and row in (1, 2))) else
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{'type': 'black'} for col in range(self.cols)] for row in range(self.rows)]
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solution = {
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"(0, 1)": a,
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"(0, 2)": b,
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"(1, 0)": c,
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"(2, 0)": d
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}
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return {
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'grid': grid,
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'solution': solution
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}
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def _generate_unique_pair(self):
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while True:
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a = random.randint(1, 9)
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b = random.randint(1, 9)
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if a != b:
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return a, b
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@staticmethod
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def prompt_func(question_case) -> str:
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clues = []
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grid = question_case['grid']
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for row_idx, row in enumerate(grid):
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for col_idx, cell in enumerate(row):
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if cell['type'] == 'black':
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parts = []
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if 'right' in cell:
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sum_r, len_r = cell['right']
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parts.append(f"右侧的 {len_r} 个白色格子之和为 {sum_r}")
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if 'down' in cell:
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sum_d, len_d = cell['down']
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parts.append(f"下方的 {len_d} 个白色格子之和为 {sum_d}")
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if parts:
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clues.append(f"位于 ({row_idx}, {col_idx}) 的黑色格子:" + ",".join(parts))
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clues_text = "\n".join(clues)
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white_coords = []
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for row_idx, row in enumerate(grid):
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for col_idx, cell in enumerate(row):
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if cell['type'] == 'white':
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white_coords.append(f"({row_idx}, {col_idx})")
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white_coords_text = ", ".join(white_coords)
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prompt = f"""你是Kakuro谜题解答者,请根据以下线索填充所有白色格子,确保每个横向或纵向的序列满足和的条件,且同一序列中的数字不重复。每个格子只能填1-9的整数。
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谜题线索:
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{clues_text}
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需要填充的白色格子位于以下坐标:{white_coords_text}。
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请将你的答案以字典形式放在[answer]和[/answer]之间,键为坐标字符串,如"(行,列)",值为对应的整数。例如:
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[answer]
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{{"(0,1)": 3, "(0,2)": 4, "(1,0)":5, "(2,0)":2}}
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[/answer]
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请确保所有白色格子都被正确填写,且没有多余或缺少的项。"""
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return prompt
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@staticmethod
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def extract_output(output):
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answer_blocks = re.findall(r'\[answer\](.*?)\[/answer\]', output, re.DOTALL)
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if not answer_blocks:
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return None
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last_block = answer_blocks[-1].strip()
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try:
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answer_dict = literal_eval(last_block)
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if not isinstance(answer_dict, dict):
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return None
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converted = {}
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for coord_str, value in answer_dict.items():
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coord_str = coord_str.strip('()')
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row, col = map(int, coord_str.split(','))
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converted[(row, col)] = value
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return converted
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except:
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return None
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@classmethod
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def _verify_correction(cls, solution, identity):
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if not solution:
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return False
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grid = identity['grid']
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solution = solution.copy()
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# Check all coordinates in solution are valid white cells
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for coord in solution:
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row, col = coord
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if row < 0 or col < 0 or row >= len(grid) or col >= len(grid[0]):
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return False
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cell = grid[row][col]
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if cell.get('type') != 'white':
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return False
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value = solution[coord]
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if not (1 <= value <= 9):
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return False
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# Check all clues
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for row_idx in range(len(grid)):
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for col_idx in range(len(grid[row_idx])):
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cell = grid[row_idx][col_idx]
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if cell.get('type') != 'black':
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continue
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# Check right clue
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if 'right' in cell:
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sum_r, len_r = cell['right']
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run_coords = []
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current_col = col_idx + 1
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while current_col < len(grid[row_idx]) and grid[row_idx][current_col].get('type') == 'white':
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run_coords.append((row_idx, current_col))
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current_col += 1
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if len(run_coords) != len_r:
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return False
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# Check all coords are in solution
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for coord in run_coords:
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if coord not in solution:
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return False
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values = [solution[coord] for coord in run_coords]
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if sum(values) != sum_r or len(set(values)) != len_r:
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return False
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# Check down clue
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if 'down' in cell:
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sum_d, len_d = cell['down']
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run_coords = []
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current_row = row_idx + 1
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while current_row < len(grid) and grid[current_row][col_idx].get('type') == 'white':
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run_coords.append((current_row, col_idx))
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current_row += 1
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if len(run_coords) != len_d:
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return False
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for coord in run_coords:
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if coord not in solution:
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return False
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values = [solution[coord] for coord in run_coords]
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if sum(values) != sum_d or len(set(values)) != len_d:
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return False
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return True
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