LeetCode Solutions
931. Minimum Falling Path Sum
Time: $O(n^2)$ Space: $O(1)$
class Solution {
public:
int minFallingPathSum(vector<vector<int>>& A) {
const int n = A.size();
for (int i = 1; i < n; ++i)
for (int j = 0; j < n; ++j) {
int mini = INT_MAX;
for (int k = max(0, j - 1); k < min(n, j + 2); ++k)
mini = min(mini, A[i - 1][k]);
A[i][j] += mini;
}
return *min_element(begin(A[n - 1]), end(A[n - 1]));
}
};
class Solution {
public int minFallingPathSum(int[][] A) {
final int n = A.length;
for (int i = 1; i < n; ++i)
for (int j = 0; j < n; ++j) {
int min = Integer.MAX_VALUE;
for (int k = Math.max(0, j - 1); k < Math.min(n, j + 2); ++k)
min = Math.min(min, A[i - 1][k]);
A[i][j] += min;
}
return Arrays.stream(A[n - 1]).min().getAsInt();
}
}
class Solution:
def minFallingPathSum(self, A: List[List[int]]) -> int:
n = len(A)
for i in range(1, n):
for j in range(n):
mini = math.inf
for k in range(max(0, j - 1), min(n, j + 2)):
mini = min(mini, A[i - 1][k])
A[i][j] += mini
return min(A[-1])