N Queen Problem
The N Queen, also known as eight queens puzzle, is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other.
/*****Please include following header files*****/
// stdio.h
// stdbool.h
/***********************************************/
#define N 4
void PrintSolution(int board[N][N])
{
for (int i = 0; i < N; ++i)
{
for (int j = 0; j < N; ++j)
printf(" %d ", board[i][j]);
printf("\n");
}
}
bool IsSafe(int board[N][N], int row, int col)
{
int i, j;
for (i = 0; i < col; ++i)
if (board[row][i])
return false;
for (i = row, j = col; i >= 0 && j >= 0; --i, --j)
if (board[i][j])
return false;
for (i = row, j = col; j >= 0 && i < N; ++i, --j)
if (board[i][j])
return false;
return true;
}
bool SolveNQ(int board[N][N], int col)
{
if (col >= N)
return true;
for (int i = 0; i < N; ++i)
{
if (IsSafe(board, i, col))
{
board[i][col] = 1;
if (SolveNQ(board, col + 1))
return true;
board[i][col] = 0;
}
}
return false;
}
bool Solve()
{
int board[N][N] = {
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 },
{ 0, 0, 0, 0 }
};
if (SolveNQ(board, 0) == false)
return false;
PrintSolution(board);
return true;
}
Example
bool isSolved = Solve();
Output
isSolved: true
Output of Solve function:
0 0 1 0
1 0 0 0
0 0 0 1
0 1 0 0