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Valid Sudoku

2024-08-02 23:34:10   221人阅读

Determine if a Sudoku is valid, according to: Sudoku Puzzles - The Rules.

The Sudoku board could be partially filled, where empty cells are filled with the character ‘.‘.

A partially filled sudoku which is valid.

 

Note:
A valid Sudoku board (partially filled) is not necessarily solvable. Only the filled cells need to be validated.

注意：其中没有填的也代表有效的，用‘.‘表示。为了是每行每列以及每个9方格中没有重复的元素，使用了set来存放，本来想用map的，但是map每次要存放两个元素，多余。

当每行或每列填满之后，可以直接判断set的长度是否为9，否则就是有重复的元素。

 

C++代码如下：

#include<iostream>#include<set>#include<vector>using namespace std;class Solution{public:    bool isValidSudoku(vector<vector<char> > &board)    {        set<char> st;        size_t dot=0;        int i,j;        for(i=0; i<9; i++)        {            st.clear();            dot=0;            for(j=0; j<9; j++)            {                if(board[i][j]==‘.‘)                {                    dot++;                    continue;                }                st.insert(board[i][j]);            }            if(st.size()<9-dot)                return false;        }        for(i=0; i<9; i++)        {            st.clear();            dot=0;            for(j=0; j<9; j++)            {                if(board[j][i]==‘.‘)                {                    dot++;                    continue;                }                st.insert(board[j][i]);            }            if(st.size()<9-dot)                return false;        }        int block=0;        for(block=0; block<9; block++)        {            dot=0;            st.clear();            for(i=block/3*3; i<block/3*3+3; i++)            {                for(j=block%3*3; j<block%3*3+3; j++)                {                    if(board[i][j]==‘.‘)                    {                        dot++;                        continue;                    }                    st.insert(board[i][j]);                }            }            if(st.size()<9-dot)                return false;        }        return true;    }};int main(){    Solution s;    /*vector<vector<char> > vec= {{‘8‘,‘1‘,‘4‘,‘6‘,‘5‘,‘2‘,‘7‘,‘3‘,‘9‘},        {‘9‘,‘5‘,‘7‘,‘1‘,‘8‘,‘3‘,‘6‘,‘2‘,‘4‘},        {‘2‘,‘3‘,‘6‘,‘9‘,‘7‘,‘4‘,‘1‘,‘5‘,‘8‘},        {‘6‘,‘9‘,‘5‘,‘4‘,‘3‘,‘7‘,‘2‘,‘8‘,‘1‘},        {‘4‘,‘8‘,‘1‘,‘5‘,‘2‘,‘6‘,‘3‘,‘9‘,‘7‘},        {‘3‘,‘7‘,‘2‘,‘8‘,‘9‘,‘1‘,‘5‘,‘4‘,‘6‘},        {‘5‘,‘6‘,‘9‘,‘3‘,‘1‘,‘8‘,‘4‘,‘7‘,‘2‘},        {‘7‘,‘4‘,‘8‘,‘2‘,‘6‘,‘5‘,‘9‘,‘1‘,‘3‘},        {‘1‘,‘2‘,‘3‘,‘7‘,‘4‘,‘9‘,‘8‘,‘6‘,‘5‘}    };*/    vector<vector<char> >vec= {{‘.‘,‘.‘,‘5‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘6‘},        {‘.‘,‘.‘,‘.‘,‘.‘,‘1‘,‘4‘,‘.‘,‘.‘,‘.‘},        {‘2‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},        {‘1‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},        {‘5‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},        {‘6‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},        {‘7‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},        {‘8‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},        {‘9‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘,‘.‘},    };    cout<<s.isValidSudoku(vec)<<endl;}

 

Valid Sudoku


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