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38 changes: 38 additions & 0 deletions java/0052-n-queens-ii.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,38 @@
class Solution {
int count = 0;

public int totalNQueens(int n) {
Set<Integer> colSet = new HashSet<>();
Set<Integer> posDiagSet = new HashSet<>(); // (r + c)
Set<Integer> negDiagSet = new HashSet<>(); // (r - c)
backtrack(0, n, colSet, posDiagSet, negDiagSet);
return count;
}

private void backtrack(
int row,
int n,
Set<Integer> colSet,
Set<Integer> posDiagSet,
Set<Integer> negDiagSet) {
if (row == n) {
count += 1;
return;
}

for (int col = 0; col < n; col++) {
if (colSet.contains(col)
|| posDiagSet.contains(row + col)
|| negDiagSet.contains(row - col)) {
continue;
}
colSet.add(col);
posDiagSet.add(row + col);
negDiagSet.add(row - col);
backtrack(row + 1, n, colSet, posDiagSet, negDiagSet);
colSet.remove(col);
posDiagSet.remove(row + col);
negDiagSet.remove(row - col);
}
}
}