題目描述
判斷一個 9x9 的數獨是否有效。只需要根據以下規則,驗證已經填入的數字是否有效即可。
數字 1-9 在每一行只能出現一次。
數字 1-9 在每一列只能出現一次。
數字 1-9 在每一個以粗實線分隔的 3x3 宮內只能出現一次。
上圖是一個部分填充的有效的數獨。
數獨部分空格內已填入了數字,空白格用 '.' 表示。
示例 1:
輸入:
[
["5","3",".",".","7",".",".",".","."],
["6",".",".","1","9","5",".",".","."],
[".","9","8",".",".",".",".","6","."],
["8",".",".",".","6",".",".",".","3"],
["4",".",".","8",".","3",".",".","1"],
["7",".",".",".","2",".",".",".","6"],
[".","6",".",".",".",".","2","8","."],
[".",".",".","4","1","9",".",".","5"],
[".",".",".",".","8",".",".","7","9"]
]
輸出: true
示例 2:
輸入:
[
["8","3",".",".","7",".",".",".","."],
["6",".",".","1","9","5",".",".","."],
[".","9","8",".",".",".",".","6","."],
["8",".",".",".","6",".",".",".","3"],
["4",".",".","8",".","3",".",".","1"],
["7",".",".",".","2",".",".",".","6"],
[".","6",".",".",".",".","2","8","."],
[".",".",".","4","1","9",".",".","5"],
[".",".",".",".","8",".",".","7","9"]
]
輸出: false
解釋: 除了第一行的第一個數字從 5 改爲 8 以外,空格內其他數字均與 示例1 相同。
但由於位於左上角的 3x3 宮內有兩個 8 存在, 因此這個數獨是無效的。
說明:
一個有效的數獨(部分已被填充)不一定是可解的。
只需要根據以上規則,驗證已經填入的數字是否有效即可。
給定數獨序列只包含數字 1-9 和字符 '.' 。
給定數獨永遠是 9x9 形式的。
來源:力扣(LeetCode)
鏈接:https://leetcode-cn.com/problems/valid-sudoku
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白話題目:
[suˈdəʊkuː],判斷已經填入的狀態是否有效。就是同行同列,同九宮格不能有重複的1,2,3,4,5,6,7,8,9。
算法:
(1)輸入測試,就是從一個txt文檔中讀入輸入 用到了fopen,fgets,strtok(用空格分隔字符串)
(2)存入char **board中,注意不能用board[][],當初寫的時候出現了問題
(3)判斷
//1,循環判斷行是否都有效
//2,循環判斷列是否都有效
//3,循環判斷每個9宮格是否都有效
//三者都有效時整個數獨纔有效
思路簡單,容易理解,完成的就是代碼實現的事,至於後面的37題,我們再想辦法。
今朝有酒今朝醉,明日愁來明日愁。
詳細解釋關注 B站 【C語言全代碼】學渣帶你刷Leetcode 不走丟 https://www.bilibili.com/video/BV1C7411y7gB
C語言完全代碼
#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#define BUF_SIZE (200)
bool isValidLine(char** board, int line)
{
int iNumFlag[9]= {0};
int index= 0;
bool bRet= true;
for (index = 0; index < 9; index++)
{
if ((board[line][index] >= '1') && (board[line][index] <= '9'))
{
if (1 == iNumFlag[board[line][index] - '1'])
{
bRet = false;
return bRet;
}
else
{
iNumFlag[board[line][index] - '1'] = 1;
}
}
}
return bRet;
}
bool isValidColumn(char** board, int column)
{
int iNumFlag[9] = {0};
int index = 0;
bool bRet = true;
for (index = 0; index < 9; index++)
{
if ((board[index][column] >= '1') && (board[index][column] <= '9'))
{
if (1 == iNumFlag[board[index][column] - '1'])
{
bRet = false;
return bRet;
}
else
{
iNumFlag[board[index][column] - '1'] = 1;
}
}
}
return bRet;
}
bool isvalidSpace(char** board, int line, int column)
{
int iNumFlag[9] = {0};
int i = 0;
int j = 0;
bool bRet = true;
for (i = 0; i < 3; i++)
{
for (j = 0; j < 3; j++)
{
if ((board[line + i][column + j] >= '1') && (board[line + i][column + j] <= '9'))
{
if (1 == iNumFlag[board[line + i][column + j] - '1'])
{
bRet = false;
return bRet;
}
else
{
iNumFlag[board[line + i][column + j] - '1'] = 1;
}
}
}
}
return bRet;
}
bool isValidSudoku(char** board, int boardSize, int* boardColSize)
{
int i = 0;
int j = 0;
bool bRet = true;
printf("start\n");
//行判斷
for (i = 0; i < 9; i++)
{
if (false == isValidLine(board, i))
{
bRet = false;
return bRet;
}
}
//列判斷
for (j = 0; j < 9; j++)
{
if (false == isValidColumn(board, j))
{
bRet = false;
return bRet;
}
}
//9宮格判斷
for (i = 0; i < 9; i += 3)
{
for (j = 0; j < 9; j += 3)
{
if (false == isvalidSpace(board, i, j))
{
bRet = false;
return bRet;
}
}
}
return bRet;
}
int main()
{
int boardSize=9;
int boardColSize=9;
char** board=(char**)malloc(sizeof(char*)*boardSize);
char arr[9][BUF_SIZE]= {0};
FILE *fp=fopen("suduku.txt","r");
if(!fp)
{
printf("open fail\n");
}
int i=0;
int j=0;
char buf[BUF_SIZE]= {'0'};
while((fgets(arr[i],BUF_SIZE,fp))!=NULL)
{
puts(arr[i]); //每一行都被存在了arr[i]中
board[i]=(char*)malloc(sizeof(char)*boardColSize);
char *subarr= strtok(arr[i]," ");
int j=0;
while(subarr!=NULL)
{
// printf( "---%d\n", strlen(subarr));
// printf( "---%s\n", subarr );
board[i][j]=subarr[0]; //拆分的是字符串, 回車也有,我們就取一個第一位就好了
subarr =strtok(NULL," ");//繼續
j++;
}
i++;
}
printf("\n");
fclose(fp);
for(i=0; i<boardSize; i++)
{
for(j=0; j<boardColSize; j++)
{
printf("%c",board[i][j]);
}
printf("\n");
}
bool result=isValidSudoku(board, boardSize,&boardColSize);
printf("%d\n", result);
return 0;
}