Created
August 29, 2019 00:14
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8 queen problem
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package com.algorithms; | |
import java.util.ArrayList; | |
import java.util.Arrays; | |
import java.util.List; | |
public class NQueen { | |
class Position { | |
int row; | |
int col; | |
public Position(int row, int col) { | |
this.row = row; | |
this.col = col; | |
} | |
public String toString() { | |
return "[ " + row + "," + col + " ]"; | |
} | |
} | |
public List<List<String>> solveNQueens(int n) { | |
List<List<String>> result = new ArrayList<>(); | |
Position[] positions = new Position[n]; | |
solve(0, positions, result, n); | |
return result; | |
} | |
public void solve(int row, Position[] positions, List<List<String>> result, int n) { | |
if (n == row) { | |
StringBuffer buff = new StringBuffer(); | |
List<String> oneResult = new ArrayList<>(); | |
for (Position p : positions) { | |
for (int i = 0; i < n; i++) { | |
if (p.col == i) { | |
buff.append("Q"); | |
} else { | |
buff.append("."); | |
} | |
} | |
oneResult.add(buff.toString()); | |
buff = new StringBuffer(); | |
} | |
buff.append("\n"); | |
result.add(oneResult); | |
return; | |
} | |
for (int col = 0; col < n; col++) { | |
boolean found = true; | |
for (int queen = 0; queen < row; queen++) { | |
if (positions[queen].col == col || positions[queen].col - positions[queen].row == col - row || positions[queen].row + positions[queen].col == col + row) { | |
found = false; | |
break; | |
} | |
} | |
if (found) { | |
positions[row] = new Position(row, col); | |
solve(row + 1, positions, result, n); | |
} | |
} | |
} | |
} |
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