题目: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?
/**
* 机器人的运动范围
* @param threshold
* @param rows
* @param cols
* @return
*/
public int movingCount(int threshold, int rows, int cols)
{
if(threshold < 0 || rows <= 0 || cols <= 0)
return 0;
boolean[] visited = new boolean[rows*cols];
for(int i=0;i<rows;i++){
for(int j=0;j<cols;j++)
visited[i*cols+j] = false;
}
int count = movingCountCore(threshold, rows, cols, 0, 0, visited);
return count;
}
public int movingCountCore(int threshold, int rows, int cols, int row, int col, boolean[] visited){
int count = 0;
if(check(threshold, rows, cols, row, col, visited)){
visited[row*cols+col] = true;
count = 1 + movingCountCore(threshold, rows, cols, row + 1, col, visited)
+ movingCountCore(threshold, rows, cols, row - 1, col, visited)
+ movingCountCore(threshold, rows, cols, row, col + 1, visited)
+ movingCountCore(threshold, rows, cols, row, col - 1, visited);
}
return count;
}
public boolean check(int threshold, int rows, int cols, int row, int col, boolean[] visited){
if(row>=0 && row<rows && col>=0 && col<cols
&& (getSum(row) + getSum(col)) <= threshold
&& !visited[row*cols+col])
return true;
return false;
}
public int getSum(int n){
int sum=0;
while(n>0){
int tmp = n % 10;
sum+=tmp;
n/=10;
}
return sum;
}