Created
December 12, 2012 22:59
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Java- n-queens problem
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// The eight queens puzzle is the problem of placing eight chess queens on an 8?8 | |
// chessboard so that no two queens attack each other. Thus, a solution requires that no two | |
// queens share the same row, column, or diagonal. The eight queens puzzle is an example of the more general | |
// n-queens problem of placing n queens on an n?n chessboard, | |
// where solutions exist for all natural numbers n with the exception of 2 and 3.[ | |
boolean promising (int i, int[] col) { | |
for (j=1; j<i; j++) { | |
if (col[i] == col[j]) { | |
return false; | |
} | |
else if (i+col[i] == j + col[j]) { | |
return false; | |
} | |
else if (col[i] - i == col[j] - j) { | |
return false; | |
} | |
} | |
return true; | |
} | |
void nqueens(int i, int n, int[] col) | |
{ | |
if (promising(i, col)) { | |
if (i == n) { | |
printSolution(col); | |
} | |
} | |
for (k=1; k<=n; k++) { | |
col[i+1] = k | |
nqueens(i+1, n, col) | |
} | |
} |
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