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leet code

2084 - N-Queens II

처음 n==6에서 TLE에 걸렸습니다.

이후 n==8에서 TLE에 걸렸습니다.

해결 방법은 rows, columns, 이미 추가된 queens를 모두 순회하는 것이 아니라

rows, columns 둘 중 하나를 생략할 수 있었습니다.

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#include<algorithm>

class Solution {
public:
    int totalNQueens(int n) {
        _boardSize = n;
        return _totalnq(n);
    }

    int _totalnq(int n){
        if(n==0)
        {
            vector<vector<int>> a(_queens);
            sort(a.begin(), a.end());
            for(int i=0; i<_answers.size(); ++i)
            {
                if(_answers[i] == a) return 0;
            }
            _answers.push_back(a);
            return 1; // 성공조건
        }

        int cnt = 0;
        for(int i=0; i<_boardSize; ++i)
        {
            if(n==_boardSize && i>_boardSize/2) break;
            for(int j=0; j<_boardSize; ++j)
            {
                if(n==_boardSize && j>_boardSize/2) break;
                bool isValid = true;
                for(int k=0; k< _queens.size(); ++k)
                {
                    int x1 = _queens[k][0];
                    int y1 = _queens[k][1];
                    if(x1 == j || y1 == i || (x1-y1) == (j-i) || (x1+y1) == i+j)
                    {
                        isValid = false;
                        break;
                    };
                }
                if(!isValid) continue;
                vector<int> a{j, i};
                _queens.push_back(a);
                cnt += _totalnq(n-1);
                _queens.pop_back();
            }
        }
        return cnt;

    }

private:
    int _board[10][10] = {0, };
    vector<vector<int>> _queens;
    int _boardSize;
    vector<vector<vector<int>>> _answers;
};
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#include<algorithm>

class Solution {
public:
    int totalNQueens(int n) {
        _boardSize = n;
        return _totalnq(n);
    }

    int _totalnq(int n){
        if(n==0)
        {
          vector<vector<int>> a(_queens);
          sort(a.begin(), a.end());
          for(int i=0; i<_answers.size(); ++i)
          {
              if(_answers[i] == a) return 0;
          }
          _answers.push_back(a);
          return 1; // 성공조건
        }

        int cnt = 0;
        int j = n-1;
        for(int i=0; i<_boardSize; ++i)
        {
            bool isValid = true;
            for(int k=0; k< _queens.size(); ++k)
            {
                int x1 = _queens[k][0];
                int y1 = _queens[k][1];
                if(x1 == j || y1 == i || (x1-y1) == (j-i) || (x1+y1) == i+j)
                {
                    isValid = false;
                    break;
                };
            }
            if(!isValid) continue;
            vector<int> a{j, i};
            _queens.push_back(a);
            cnt += _totalnq(n-1);
            _queens.pop_back();
        }
        return cnt;

    }

private:
    int _board[10][10] = {0, };
    vector<vector<int>> _queens;
    int _boardSize;
    vector<vector<vector<int>>> _answers;
};