题目描述
地上有一个m行和n列的方格。一个机器人从坐标0,0的格子开始移动,每一次只能向左,右,上,下四个方向移动一格,但是不能进入行坐标和列坐标的数位之和大于k的格子。 例如,当k为18时,机器人能够进入方格(35,37),因为3+5+3+7 = 18。但是,它不能进入方格(35,38),因为3+5+3+8 = 19。请问该机器人能够达到多少个格子?
public class Solution {
public int movingCount(int threshold, int rows, int cols)
{
boolean[] visited = new boolean[rows*cols];
return movingSum(threshold,rows, cols,0,0,visited);
}
public int movingSum(int threshold,int rows,int cols,int row,int col,boolean[] visited){
if(row<0||row>=rows||col<0||col>=cols)
return 0;
int i = row*cols+col;
if(visited[i]||!checkSum(threshold,row,col))
return 0;
visited[i] = true;
return 1+movingSum(threshold,rows, cols,row,col+1,visited)
+movingSum(threshold,rows, cols,row,col-1,visited)
+movingSum(threshold,rows, cols,row+1,col,visited)
+movingSum(threshold,rows, cols,row-1,col,visited);
}
public boolean checkSum(int threshold, int row, int col){
int sum = 0;
while(row!=0){
sum+=row%10;
row/=10;
}
while(col!=0){
sum+=col%10;
col/=10;
}
if(sum>threshold)
return false;
return true;
}
}