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package g0901_1000.s0931_minimum_falling_path_sum;
// #Medium #Array #Dynamic_Programming #Matrix #Dynamic_Programming_I_Day_13
// #2022_03_30_Time_4_ms_(72.19%)_Space_48.3_MB_(12.49%)
public class Solution {
public int minFallingPathSum(int[][] matrix) {
int l = matrix[0].length;
int[] arr = matrix[0];
for (int i = 1; i < matrix.length; i++) {
int[] cur = new int[l];
for (int j = 0; j < l; j++) {
int left = Integer.MAX_VALUE;
int right = Integer.MAX_VALUE;
int curCell = arr[j];
if (j > 0) {
left = arr[j - 1];
}
if (j < l - 1) {
right = arr[j + 1];
}
cur[j] = matrix[i][j] + Math.min(left, Math.min(right, curCell));
}
arr = cur;
}
int min = Integer.MAX_VALUE;
for (int i = 0; i < l; i++) {
if (arr[i] < min) {
min = arr[i];
}
}
return min;
}
}
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