Medium
You are given a 0-indexed m x n
matrix grid
consisting of positive integers.
You can start at any cell in the first column of the matrix, and traverse the grid in the following way:
(row, col)
, you can move to any of the cells: (row - 1, col + 1)
, (row, col + 1)
and (row + 1, col + 1)
such that the value of the cell you move to, should be strictly bigger than the value of the current cell.Return the maximum number of moves that you can perform.
Example 1:
Input: grid = [[2,4,3,5],[5,4,9,3],[3,4,2,11],[10,9,13,15]]
Output: 3
Explanation: We can start at the cell (0, 0) and make the following moves:
It can be shown that it is the maximum number of moves that can be made.
Example 2:
Input: grid = [[3,2,4],[2,1,9],[1,1,7]]
Output: 0
Explanation: Starting from any cell in the first column we cannot perform any moves.
Constraints:
m == grid.length
n == grid[i].length
2 <= m, n <= 1000
4 <= m * n <= 105
1 <= grid[i][j] <= 106
class Solution {
fun maxMoves(grid: Array<IntArray>): Int {
val h = grid.size
var dp1 = BooleanArray(h)
var dp2 = BooleanArray(h)
var rtn = 0
dp1.fill(true)
for (col in 1 until grid[0].size) {
var f = false
for (row in 0 until h) {
val pr = row - 1
val nr = row + 1
dp2[row] = false
if (pr >= 0 && dp1[pr] && grid[pr][col - 1] < grid[row][col]) {
dp2[row] = true
f = true
}
if (nr < h && dp1[nr] && grid[nr][col - 1] < grid[row][col]) {
dp2[row] = true
f = true
}
if (dp1[row] && grid[row][col - 1] < grid[row][col]) {
dp2[row] = true
f = true
}
}
val t = dp1
dp1 = dp2
dp2 = t
if (!f) break
rtn++
}
return rtn
}
}