Leetcode Problem 1478. Allocate Mailboxes

1478. Allocate Mailboxes

Leetcode Solutions

Sort the houses array to ensure they are in ascending order of their locations.
Precompute the prefix sum array B where B[i] is the sum of the first i houses' locations.
Define a helper function cal(i, j) that calculates the minimum distance for houses from index i to j with one mailbox placed at the median location.
Initialize a DP array dp with high initial values, except dp[0] which should be 0.
Iterate over the number of mailboxes k from 1 to K.
For each k, iterate over the end house index j from k-1 to n-1 (where n is the number of houses).
For each j, iterate over the start house index i from k-2 to j-1.
Update dp[j] with the minimum of its current value and dp[i] + cal(i+1, j).
After all iterations, dp[n-1] will contain the minimum total distance for n houses with K mailboxes.

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