python 生成六宫的数独题每一宫里有2*3个格子并画出相应的方格导出到pdf
时间: 2023-06-11 08:07:21 浏览: 171
数独六宫格智力游戏练习题.doc
生成数独题可以使用回溯算法,主要思路是在每个格子中填入一个数字,然后检查是否符合数独的规则,如果符合则递归到下一个格子,否则回溯到上一个格子重新填数字。具体实现可以参考以下代码:
```python
import random
from typing import List
from reportlab.pdfgen import canvas
# 生成数独题
def generate_sudoku() -> List[List[int]]:
# 初始化数独矩阵
sudoku = [[0] * 6 for _ in range(6)]
# 回溯算法填充数字
def backtrack(row: int, col: int) -> bool:
if col == 6:
col = 0
row += 1
if row == 6:
return True
candidates = list(range(1, 7))
random.shuffle(candidates)
for num in candidates:
if num not in sudoku[row] and num not in [sudoku[i][col] for i in range(6)] \
and num not in [sudoku[i][j] for i in range(row//2*2, row//2*2+2) for j in range(col//3*3, col//3*3+3)]:
sudoku[row][col] = num
if backtrack(row, col+1):
return True
sudoku[row][col] = 0
return False
backtrack(0, 0)
return sudoku
# 绘制数独题
def draw_sudoku(sudoku: List[List[int]]):
c = canvas.Canvas("sudoku.pdf")
c.setFont("Helvetica", 20)
cell_width = 30
cell_height = 30
margin_x = 50
margin_y = 700
for i in range(6):
for j in range(6):
c.rect(margin_x + j * cell_width, margin_y - i * cell_height,
cell_width, cell_height)
if sudoku[i][j]:
c.drawString(margin_x + j * cell_width + cell_width / 2 - 5,
margin_y - i * cell_height - cell_height / 2 - 5,
str(sudoku[i][j]))
c.save()
if __name__ == "__main__":
sudoku = generate_sudoku()
draw_sudoku(sudoku)
```
这段代码中,generate_sudoku() 函数使用回溯算法生成数独题目,draw_sudoku() 函数使用 reportlab 库绘制数独题目并导出到 pdf 文件中。
绘制六宫格子可以使用 reportlab 库中的 rect() 方法绘制矩形。具体实现可以参考以下代码:
```python
import random
from typing import List
from reportlab.pdfgen import canvas
# 生成数独题
def generate_sudoku() -> List[List[int]]:
# 初始化数独矩阵
sudoku = [[0] * 6 for _ in range(6)]
# 回溯算法填充数字
def backtrack(row: int, col: int) -> bool:
if col == 6:
col = 0
row += 1
if row == 6:
return True
candidates = list(range(1, 7))
random.shuffle(candidates)
for num in candidates:
if num not in sudoku[row] and num not in [sudoku[i][col] for i in range(6)] \
and num not in [sudoku[i][j] for i in range(row//2*2, row//2*2+2) for j in range(col//3*3, col//3*3+3)]:
sudoku[row][col] = num
if backtrack(row, col+1):
return True
sudoku[row][col] = 0
return False
backtrack(0, 0)
return sudoku
# 绘制数独题
def draw_sudoku(sudoku: List[List[int]]):
c = canvas.Canvas("sudoku.pdf")
c.setFont("Helvetica", 20)
cell_width = 30
cell_height = 30
margin_x = 50
margin_y = 700
for i in range(6):
for j in range(6):
c.rect(margin_x + j * cell_width, margin_y - i * cell_height,
cell_width, cell_height)
if sudoku[i][j]:
c.drawString(margin_x + j * cell_width + cell_width / 2 - 5,
margin_y - i * cell_height - cell_height / 2 - 5,
str(sudoku[i][j]))
# 绘制六宫格子
c.setLineWidth(1)
for i in range(3):
for j in range(2):
x = margin_x + j * 3 * cell_width
y = margin_y - i * 2 * cell_height
c.rect(x, y, 3 * cell_width, 2 * cell_height)
c.save()
if __name__ == "__main__":
sudoku = generate_sudoku()
draw_sudoku(sudoku)
```
这段代码中,draw_sudoku() 函数在绘制数独题目的基础上,使用 rect() 方法绘制了六宫格子。其中,setLineWidth() 方法设置线条宽度。
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