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?
回溯,DFS/BFS
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| const int xMove[] = {0, 1, 0, -1}; const int yMove[] = {-1, 0, 1, 0};
class Solution { public: int getSum(int n) { int sum = 0; while (n > 0) { int left = n / 10; sum += n - 10 * left; n = left; } return sum; } int movingCount(int threshold, int rows, int cols) { if (threshold <= 0 || rows < 1 || cols < 1) { return 0; } else { bool isAdded[127][127] = {false}; int area = 1; int xRoute[65535], yRoute[65535]; int peak = 0; xRoute[0] = 0; yRoute[0] = 0; isAdded[0][0] = true; while (peak >= 0) { int x = xRoute[peak]; int y = yRoute[peak]; peak--; for (int i = 0; i < 4; i++) { x += xMove[i]; y += yMove[i]; if (x >= 0 && x < cols && y >= 0 && y < rows && getSum(x) + getSum(y) <= threshold && !isAdded[x][y]) { isAdded[x][y] = true; peak++; xRoute[peak] = x; yRoute[peak] = y; area++; } x -= xMove[i]; y -= yMove[i]; } } return area; } } };
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