Medium
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.
Cells (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.
Example 1:
Input: grid = [[0,1,0,0,0],[0,1,0,1,0],[0,0,0,1,0]], health = 1
Output: true
Explanation:
The final cell can be reached safely by walking along the gray cells below.
Example 2:
Input: 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
Output: false
Explanation:
A minimum of 4 health points is needed to reach the final cell safely.
Example 3:
Input: grid = [[1,1,1],[1,0,1],[1,1,1]], health = 5
Output: true
Explanation:
The final cell can be reached safely by walking along the gray cells below.
Any path that does not go through the cell (1, 1)
is unsafe since your health will drop to 0 when reaching the final cell.
Constraints:
m == 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.import java.util.LinkedList
import java.util.Objects
import java.util.Queue
class Solution {
fun findSafeWalk(grid: List<List<Int>>, health: Int): Boolean {
val n = grid.size
val m = grid[0].size
val dr = intArrayOf(0, 0, 1, -1)
val dc = intArrayOf(1, -1, 0, 0)
val visited = Array<Array<BooleanArray>?>(n) { Array<BooleanArray>(m) { BooleanArray(health + 1) } }
val bfs: Queue<IntArray?> = LinkedList<IntArray>()
bfs.add(intArrayOf(0, 0, health - grid[0][0]))
visited[0]!![0][health - grid[0][0]] = true
while (bfs.isNotEmpty()) {
var size = bfs.size
while (size-- > 0) {
val currNode = bfs.poll()
val r = Objects.requireNonNull<IntArray>(currNode)[0]
val c = currNode!![1]
val h = currNode[2]
if (r == n - 1 && c == m - 1 && h > 0) {
return true
}
for (k in 0..3) {
val nr = r + dr[k]
val nc = c + dc[k]
if (isValidMove(nr, nc, n, m)) {
val nh: Int = h - grid[nr][nc]
if (nh >= 0 && !visited[nr]!![nc][nh]) {
visited[nr]!![nc][nh] = true
bfs.add(intArrayOf(nr, nc, nh))
}
}
}
}
}
return false
}
private fun isValidMove(r: Int, c: Int, n: Int, m: Int): Boolean {
return r >= 0 && c >= 0 && r < n && c < m
}
}