Medium
Given an n x n
array of integers matrix
, return the minimum sum of any falling path through matrix
.
A falling path starts at any element in the first row and chooses the element in the next row that is either directly below or diagonally left/right. Specifically, the next element from position (row, col)
will be (row + 1, col - 1)
, (row + 1, col)
, or (row + 1, col + 1)
.
Example 1:
Input: matrix = [[2,1,3],[6,5,4],[7,8,9]]
Output: 13
Explanation: There are two falling paths with a minimum sum as shown.
Example 2:
Input: matrix = [[-19,57],[-40,-5]]
Output: -59
Explanation: The falling path with a minimum sum is shown.
Constraints:
n == matrix.length == matrix[i].length
1 <= n <= 100
-100 <= matrix[i][j] <= 100
class Solution {
fun minFallingPathSum(matrix: Array<IntArray>): Int {
val l = matrix[0].size
var arr = matrix[0]
for (i in 1 until matrix.size) {
val cur = IntArray(l)
for (j in 0 until l) {
var left = Int.MAX_VALUE
var right = Int.MAX_VALUE
val curCell = arr[j]
if (j > 0) {
left = arr[j - 1]
}
if (j < l - 1) {
right = arr[j + 1]
}
cur[j] = matrix[i][j] + left.coerceAtMost(right.coerceAtMost(curCell))
}
arr = cur
}
var min = Int.MAX_VALUE
for (i in 0 until l) {
if (arr[i] < min) {
min = arr[i]
}
}
return min
}
}