{ "data": { "question": { "questionId": "3558", "questionFrontendId": "3286", "categoryTitle": "Algorithms", "boundTopicId": 2897126, "title": "Find a Safe Walk Through a Grid", "titleSlug": "find-a-safe-walk-through-a-grid", "content": "
You are given an m x n
binary matrix grid
and an integer health
.
You start on the upper-left corner (0, 0)
and would like to get to the lower-right corner (m - 1, n - 1)
.
You can move up, down, left, or right from one cell to another adjacent cell as long as your health remains positive.
\n\nCells (i, j)
with grid[i][j] = 1
are considered unsafe and reduce your health by 1.
Return true
if you can reach the final cell with a health value of 1 or more, and false
otherwise.
\n
Example 1:
\n\nInput: grid = [[0,1,0,0,0],[0,1,0,1,0],[0,0,0,1,0]], health = 1
\n\nOutput: true
\n\nExplanation:
\n\nThe final cell can be reached safely by walking along the gray cells below.
\nExample 2:
\n\nInput: grid = [[0,1,1,0,0,0],[1,0,1,0,0,0],[0,1,1,1,0,1],[0,0,1,0,1,0]], health = 3
\n\nOutput: false
\n\nExplanation:
\n\nA minimum of 4 health points is needed to reach the final cell safely.
\nExample 3:
\n\nInput: grid = [[1,1,1],[1,0,1],[1,1,1]], health = 5
\n\nOutput: true
\n\nExplanation:
\n\nThe final cell can be reached safely by walking along the gray cells below.
\n\nAny path that does not go through the cell (1, 1)
is unsafe since your health will drop to 0 when reaching the final cell.
\n
Constraints:
\n\nm == grid.length
n == grid[i].length
1 <= m, n <= 50
2 <= m * n
1 <= health <= m + n
grid[i][j]
is either 0 or 1.给你一个 m x n
的二进制矩形 grid
和一个整数 health
表示你的健康值。
你开始于矩形的左上角 (0, 0)
,你的目标是矩形的右下角 (m - 1, n - 1)
。
你可以在矩形中往上下左右相邻格子移动,但前提是你的健康值始终是 正数 。
\n\n对于格子 (i, j)
,如果 grid[i][j] = 1
,那么这个格子视为 不安全 的,会使你的健康值减少 1 。
如果你可以到达最终的格子,请你返回 true
,否则返回 false
。
注意 ,当你在最终格子的时候,你的健康值也必须为 正数 。
\n\n\n\n
示例 1:
\n\n输入:grid = [[0,1,0,0,0],[0,1,0,1,0],[0,0,0,1,0]], health = 1
\n\n输出:true
\n\n解释:
\n\n沿着下图中灰色格子走,可以安全到达最终的格子。
\n示例 2:
\n\n输入:grid = [[0,1,1,0,0,0],[1,0,1,0,0,0],[0,1,1,1,0,1],[0,0,1,0,1,0]], health = 3
\n\n输出:false
\n\n解释:
\n\n健康值最少为 4 才能安全到达最后的格子。
\n示例 3:
\n\n输入:grid = [[1,1,1],[1,0,1],[1,1,1]], health = 5
\n\n输出:true
\n\n解释:
\n\n沿着下图中灰色格子走,可以安全到达最终的格子。
\n\n任何不经过格子 (1, 1)
的路径都是不安全的,因为你的健康值到达最终格子时,都会小于等于 0 。
\n\n
提示:
\n\nm == grid.length
n == grid[i].length
1 <= m, n <= 50
2 <= m * n
1 <= health <= m + n
grid[i][j]
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