Leetcode Problem 1289. Minimum Falling Path Sum II
1289. Minimum Falling Path Sum II
Leetcode Solutions
Dynamic Programming with Min-Heap Optimization
Check if the grid size is 1, return the only element if true.
Initialize a min-heap to keep track of the two smallest elements in each row.
Iterate over the rows of the grid.
a. If it's the first row, add all elements to the min-heap.
b. For subsequent rows, pop the two smallest elements from the min-heap.
c. Update the current row's elements by adding the smaller of the two popped elements that do not share the same column.
d. Push the updated elements back into the min-heap.
After processing the last row, the top two elements of the min-heap will be the two smallest sums of falling paths. Return the smaller one.
Dynamic Programming with Two Minimum Values Tracking