C# 编写一个数独程序,7排4列 ,A为数独横排数之和数组,B为数独竖排列数之和的数组 随机生成最符合的A,B数组和数独
时间: 2024-02-29 10:53:33 浏览: 22
好的,这是一个有趣的问题!以下是我提供的 C# 代码,用于生成符合要求的数独。
```csharp
using System;
class SudokuGenerator
{
static void Main()
{
int rows = 7, cols = 4;
int[,] sudoku = new int[rows, cols];
int[] rowSums = new int[rows];
int[] colSums = new int[cols];
// Generate random row sums
for (int r = 0; r < rows; r++)
{
rowSums[r] = GetRandomSum(cols);
}
// Generate random col sums
for (int c = 0; c < cols; c++)
{
colSums[c] = GetRandomSum(rows);
}
// Fill in the sudoku grid
for (int r = 0; r < rows; r++)
{
for (int c = 0; c < cols; c++)
{
// Find the maximum and minimum possible values for this cell
int minVal = Math.Max(1, rowSums[r] - GetSumInRow(sudoku, r, c));
int maxVal = Math.Min(9, colSums[c] - GetSumInCol(sudoku, r, c));
// Fill in the cell with a random value between minVal and maxVal
sudoku[r, c] = GetRandomValue(minVal, maxVal);
}
}
// Print the generated sudoku grid and row/col sums
Console.WriteLine("Sudoku grid:");
PrintGrid(sudoku);
Console.WriteLine("Row sums:");
PrintArray(rowSums);
Console.WriteLine("Col sums:");
PrintArray(colSums);
}
static int GetRandomSum(int size)
{
// Generate a random sum between size and size*9
return new Random().Next(size, size * 9 + 1);
}
static int GetSumInRow(int[,] grid, int row, int col)
{
// Get the sum of values in the same row and to the left of the current cell
int sum = 0;
for (int c = 0; c < col; c++)
{
sum += grid[row, c];
}
return sum;
}
static int GetSumInCol(int[,] grid, int row, int col)
{
// Get the sum of values in the same column and above the current cell
int sum = 0;
for (int r = 0; r < row; r++)
{
sum += grid[r, col];
}
return sum;
}
static int GetRandomValue(int min, int max)
{
// Generate a random value between min and max (inclusive)
return new Random().Next(min, max + 1);
}
static void PrintGrid(int[,] grid)
{
// Print the grid as a matrix of values
for (int r = 0; r < grid.GetLength(0); r++)
{
for (int c = 0; c < grid.GetLength(1); c++)
{
Console.Write(grid[r, c] + " ");
}
Console.WriteLine();
}
}
static void PrintArray(int[] arr)
{
// Print the array as a list of values
for (int i = 0; i < arr.Length; i++)
{
Console.Write(arr[i] + " ");
}
Console.WriteLine();
}
}
```
这段代码使用了以下步骤来生成符合要求的数独:
1. 创建一个指定大小的数独矩阵和两个大小为行数和列数的数组,用于存储每个行和列的和。
2. 生成随机的行和数组和列和数组。
3. 填充数独矩阵,对于每个单元格,找到该单元格的最小和最大可能值,然后使用 GetRandomValue 函数生成该单元格的随机值。
4. 打印生成的数独矩阵和行/列和数组。
请注意,此代码仅生成简单的数独,不保证具有唯一解或具有良好的解法。为了生成更复杂的数独,您可能需要实现更复杂的算法。