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"""# 谜题训练场开发任务
## 任务概述
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
## 背景说明
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
每个训练场类主要提供两个核心功能
1. 生成该谜题类型的问题实例
2. 验证用户对问题的回答是否正确
## 技术接口规范
### 类方法实现要求
```python
class {PuzzleName}bootcamp(Basebootcamp):
def __init__(self, **params):
\"\"\"
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
\"\"\"
pass
def case_generator(self):
\"\"\"
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
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
\"\"\"
pass
@staticmethod
def prompt_func(question_case) -> str:
\"\"\"
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
例如你是xxxx请你解答yyyy规则如下yyyy最终答案放置在zzzzz
参数:
question_case: 由case_generator生成的谜题实例
返回:
str: 格式化的问题字符串
注意:
1. 需考虑问题的格式以便后续能正确提取
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[answer] [/answer]
\"\"\"
pass
@staticmethod
def extract_output(output):
\"\"\"
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
参数:
output: LLM的完整输出包含原始问题和回答
返回:
提取的答案若未找到符合格式的答案则返回None
\"\"\"
pass
@classmethod
def _verify_correction(cls, solution, identity):
\"\"\"
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
参数:
solution: extract_output提取的答案
identity: case_generator生成的谜题实例
返回:
bool: 答案是否正确
\"\"\"
pass
```
### 验证评分方法(基类已实现)
```python
@classmethod
def verify_score(cls, model_output, identity:dict, format_score=0.1) -> float:
\"\"\"
验证输出结果并评分
参数:
model_output: 模型的完整输出
identity: 谜题实例由case_generator生成
format_score: 答案格式正确时的基础分数
返回:
float: 评分结果0-1之间
\"\"\"
score = 0.
try:
extract_solution = cls.extract_output(model_output)
if extract_solution is None:
return score
else:
score = format_score # 格式正确时的基础分数
if cls._verify_correction(extract_solution, identity):
score = 1. # 答案完全正确时的满分
except Exception as e:
# 处理异常情况
pass
return score
```
### 使用示例
```python
# 初始化谜题训练场
bootcamp = Puzzlebootcamp()
# 生成谜题实例
case = bootcamp.case_generator()
# 将谜题转换为文本问题
prompt = Puzzlebootcamp.prompt_func(case)
# 获取LLM对问题的解答
response = get_response(prompt, \"LLM\")
# 从完整对话中提取答案
extracted_output = Puzzlebootcamp.extract_output(prompt + response)
# 验证答案并评分
score = Puzzlebootcamp.verify_score(extracted_output, case)
```
## 你的任务
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
### 谜题描述
**Kakuro Puzzle Rules:**
1. **Grid Structure**:
- The puzzle is played on a grid of white (empty) and black (clue) cells.
- **Clue cells** (black) contain hints for solving adjacent white cells. Each clue has two components:
- **Rightward ()**: Sum of digits in the horizontal sequence of white cells to its right.
- **Downward ()**: Sum of digits in the vertical sequence of white cells below it.
2. **Digit Placement**:
- Fill white cells with digits **19**.
- A digit **cannot repeat** within the same horizontal or vertical sequence (referred to as a \"run\").
3. **Run Constraints**:
- 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.
- A white cell can belong to both a horizontal and vertical run simultaneously. Its digit must satisfy **both clues**.
4. **Key Principles**:
- **Uniqueness**: All digits in a single run must be distinct.
- **No Zeros**: Digits must be between 1 and 9.
- **Interconnected Solutions**: Solving one run provides constraints for intersecting runs.
**Objective**: Fill all white cells to satisfy all horizontal and vertical clues without violating the rules.
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
"""
from bootcamp import Basebootcamp
import random
import re
from ast import literal_eval
class Kakurobootcamp(Basebootcamp):
def __init__(self, rows=3, cols=3):
self.rows = rows
self.cols = cols
def case_generator(self):
# 生成横向序列的数对
a, b = self._generate_unique_pair()
sum_r = a + b
# 生成纵向序列的数对
c, d = self._generate_unique_pair()
sum_d = c + d
# 构建网格结构
grid = [[{'type': 'black', 'right': (sum_r, 2), 'down': (sum_d, 2)} if (row == 0 and col == 0) else
{'type': 'white'} if ((row == 0 and col in (1, 2)) or (col == 0 and row in (1, 2))) else
{'type': 'black'} for col in range(self.cols)] for row in range(self.rows)]
solution = {
"(0, 1)": a,
"(0, 2)": b,
"(1, 0)": c,
"(2, 0)": d
}
return {
'grid': grid,
'solution': solution
}
def _generate_unique_pair(self):
while True:
a = random.randint(1, 9)
b = random.randint(1, 9)
if a != b:
return a, b
@staticmethod
def prompt_func(question_case) -> str:
clues = []
grid = question_case['grid']
for row_idx, row in enumerate(grid):
for col_idx, cell in enumerate(row):
if cell['type'] == 'black':
parts = []
if 'right' in cell:
sum_r, len_r = cell['right']
parts.append(f"右侧的 {len_r} 个白色格子之和为 {sum_r}")
if 'down' in cell:
sum_d, len_d = cell['down']
parts.append(f"下方的 {len_d} 个白色格子之和为 {sum_d}")
if parts:
clues.append(f"位于 ({row_idx}, {col_idx}) 的黑色格子:" + "".join(parts))
clues_text = "\n".join(clues)
white_coords = []
for row_idx, row in enumerate(grid):
for col_idx, cell in enumerate(row):
if cell['type'] == 'white':
white_coords.append(f"({row_idx}, {col_idx})")
white_coords_text = ", ".join(white_coords)
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。
谜题线索
{clues_text}
需要填充的白色格子位于以下坐标{white_coords_text}
请将你的答案以字典形式放在[answer][/answer]之间键为坐标字符串"(行,列)"值为对应的整数例如
[answer]
{{"(0,1)": 3, "(0,2)": 4, "(1,0)":5, "(2,0)":2}}
[/answer]
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"""
return prompt
@staticmethod
def extract_output(output):
answer_blocks = re.findall(r'\[answer\](.*?)\[/answer\]', output, re.DOTALL)
if not answer_blocks:
return None
last_block = answer_blocks[-1].strip()
try:
answer_dict = literal_eval(last_block)
if not isinstance(answer_dict, dict):
return None
converted = {}
for coord_str, value in answer_dict.items():
coord_str = coord_str.strip('()')
row, col = map(int, coord_str.split(','))
converted[(row, col)] = value
return converted
except:
return None
@classmethod
def _verify_correction(cls, solution, identity):
if not solution:
return False
grid = identity['grid']
solution = solution.copy()
# Check all coordinates in solution are valid white cells
for coord in solution:
row, col = coord
if row < 0 or col < 0 or row >= len(grid) or col >= len(grid[0]):
return False
cell = grid[row][col]
if cell.get('type') != 'white':
return False
value = solution[coord]
if not (1 <= value <= 9):
return False
# Check all clues
for row_idx in range(len(grid)):
for col_idx in range(len(grid[row_idx])):
cell = grid[row_idx][col_idx]
if cell.get('type') != 'black':
continue
# Check right clue
if 'right' in cell:
sum_r, len_r = cell['right']
run_coords = []
current_col = col_idx + 1
while current_col < len(grid[row_idx]) and grid[row_idx][current_col].get('type') == 'white':
run_coords.append((row_idx, current_col))
current_col += 1
if len(run_coords) != len_r:
return False
# Check all coords are in solution
for coord in run_coords:
if coord not in solution:
return False
values = [solution[coord] for coord in run_coords]
if sum(values) != sum_r or len(set(values)) != len_r:
return False
# Check down clue
if 'down' in cell:
sum_d, len_d = cell['down']
run_coords = []
current_row = row_idx + 1
while current_row < len(grid) and grid[current_row][col_idx].get('type') == 'white':
run_coords.append((current_row, col_idx))
current_row += 1
if len(run_coords) != len_d:
return False
for coord in run_coords:
if coord not in solution:
return False
values = [solution[coord] for coord in run_coords]
if sum(values) != sum_d or len(set(values)) != len_d:
return False
return True