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leetcode51v2.java
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leetcode51v2.java
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public class Solution {
public List<List<String>> solveNQueens(int n) {
List<List<String>> res = new ArrayList<>();
char[][] cur = new char[n][n];
for(char[] row: cur){
Arrays.fill(row,'.');
}
boolean[] col_occupied = new boolean[n];
backtrack(res,cur,col_occupied,0,n);
return res;
}
private void backtrack(List<List<String>> res, char[][] cur, boolean[] col_occupied, int r, int n){
// end condition
if(r == n){
List<String> list = new ArrayList<>();
for(char[] row: cur){
list.add(new String(row));
}
res.add(list);
return;
}
// judgement
for(int i = 0; i < n; i++){
if(isValid(cur,col_occupied,r,i,n)){
cur[r][i] = 'Q';
col_occupied[i] = true;
// recursive
backtrack(res,cur,col_occupied,r+1,n);
// return to previous condition
cur[r][i] = '.';
col_occupied[i] = false;
}
}
}
private boolean isValid(char[][]curr, boolean[] col_occupied, int row, int col, int n) {
if (col_occupied[col])
return false;
for (int i=1; row-i>=0 && col-i>=0; i++) {
if (curr[row-i][col-i] == 'Q')
return false;
}
for (int i=1; row-i>=0 && col+i<n; i++) {
if (curr[row-i][col+i] == 'Q')
return false;
}
return true;
}
}