Problem:
Write a program to solve a Sudoku puzzle by filling the empty cells.
Empty cells is indicated by the character ‘.‘
.
Assume that there would be is only one unique solution.
A Sudoku Puzzle ...
... and its solution numbers marked in red.
Solution: Using the clumsy Dfs method, to determine whether the numbers entered is legal, you can filter out the illegal numbers in advance by three rules, and then try to see if there are any legal numbers left.
Title: Fill Sudoku Game ...
Java source Code (300MS):
public class Solution {public void Solvesudoku (char[][] board) {SudoKu (board,0,0); } Private Boolean SudoKu (char[][] Board,int I,int j) {if (i==8 && j==9) return true; if (j==9) {i++;j=0; } if (board[i][j]!= '. ') {if (SudoKu (board,i,j+1)) return true; }else{int[] Map=getvalidnum (BOARD,I,J); for (int k=1;k<10;k++) {if (map[k]==0) {board[i][j]= (char) (k + ' 0 '); if (SudoKu (board,i,j+1)) return true; Board[i][j]= '. '; }}} return false; } private int[] Getvalidnum (char[][] Board,int i,int j) {int[] map=new int[10]; for (int k=0;k<9;k++) {if (board[i][k]!= '. ') map[board[i][k]-' 0 ']=1; if (board[k][j]!= '. ') map[board[k][j]-' 0 ']=1; } for (int k=3* (I/3), k<3* (I/3) +3;k++) {for (int l=3* (J/3); l<3* (J/3) +3;l++) {iF (board[k][l]!= '. ') map[board[k][l]-' 0 ']=1; }} return map; }}
C Language Source code (12MS):
int* getvalidnum (char** board,int i,int j) {int k,l; int* map = (int*) malloc (sizeof (int) *10); memset (map,0,sizeof (int) *10); for (k=0;k<9;k++) {if (board[i][k]!= '. ') map[board[i][k]-' 0 ']=1; } for (k=0;k<9;k++) {if (board[k][j]!= '. ') map[board[k][j]-' 0 ']=1; } for (k=3* (I/3), k<3* (I/3) +3;k++) {for (l=3* (J/3); l<3* (J/3) +3;l++) {if (board[k][l]!= '. ') Map[boar d[k][l]-' 0 ']=1; }} return map;} BOOL SudoKu (char** board,int i,int j) {int k; if (i==8 && j==9) return true; if (j==9) {i++; j=0; } if (board[i][j]!= '. ') {if (SudoKu (board,i,j+1)) return true; }else{int* Map=getvalidnum (board,i,j); for (k=1;k<10;k++) {if (map[k]==0) {board[i][j]=k+ ' 0 '; if (SudoKu (board,i,j+1)) return true; Board[i][j]= '. '; }} free (map); } return false;} void Solvesudoku (char** board, int boardrowsize, int boaRdcolsize) {SudoKu (board,0,0);}
C + + source code (24MS):
Class Solution {Public:void Solvesudoku (vector<vector<char>>& board) {SudoKu (board,0,0); }private:bool SudoKu (vector<vector<char>>& board,int i,int j) {if (i==8 && j==9) return T Rue if (j==9) {i++;j=0; } if (board[i][j]!= '. ') {if (SudoKu (board,i,j+1)) return true; }else{int* Map=getvalidnum (board,i,j); for (int k=1;k<10;k++) {if (map[k]==0) {board[i][j]=k+ ' 0 '; if (SudoKu (board,i,j+1)) return true; Board[i][j]= '. '; }}} return false; } int* getvalidnum (vector<vector<char>>& board,int i,int j) {int* map= (int*) malloc (sizeof (int) * * 0); memset (map,0,sizeof (int) *10); for (int k=0;k<9;k++) {if (board[i][k]!= '. ') map[board[i][k]-' 0 ']=1; if (board[k][j]!= '. ') map[board[k][j]-' 0 ']=1; } for (int k=3* (I/3), k<3* (I/3) +3;k++) {for (int l=3* (J/3); l<3* (J/3) +3;l++) {if (Board[k] [l]!= '. ') map[board[k][l]-' 0 ']=1; }} return map; }};
Python source code (636MS):
Class Solution: # @param {character[][]} board # @return {void} do not return anything, modify board In-place Instea D. def solvesudoku (self, Board): self. SudoKu (board,0,0) def SudoKu (self,board,i,j): If I==8 and J==9:return True if j==9:i+=1;j=0 if boa Rd[i][j]!= '. ': if self. SudoKu (board,i,j+1): Return True Else:map=self.getvalidnum (board,i,j) for K in range (1,10): If MAP[K]==0:BOARD[I][J]=CHR (K+ord (' 0 ')) if self. SudoKu (board,i,j+1): Return True board[i][j]= '. ' Return False def getvalidnum (self,board,i,j): Map=[0 for K in range (Ten)] for K in range (9): if Board[i][k]!= '. ': Map[ord (Board[i][k])-ord (' 0 ')]=1 if board[k][j]!= '. ': Map[ord (Board[k][j])-ord (' 0 ')]=1 For-K in range (I/3), I/3 (+ +3): for-L in range ((J/3), (J/3) +3): If board[k][l]!= '. ': Map[or D (Board[k][L]) -ord (' 0 ')]=1 return map
Leetcode Notoginseng Sudoku Solver (C,c++,java,python)