Given the array houses and an integer k. where houses[i] is the location of the ith house along a street, your task is to allocate k mailboxes in the street.
Return the minimum total distance between each house and its nearest mailbox.
The answer is guaranteed to fit in a 32-bit signed integer.
Example 1:
Input: houses = [1,4,8,10,20], k = 3 Output: 5 Explanation: Allocate mailboxes in position 3, 9 and 20. Minimum total distance from each houses to nearest mailboxes is |3-1| + |4-3| + |9-8| + |10-9| + |20-20| = 5
Example 2:
Input: houses = [2,3,5,12,18], k = 2 Output: 9 Explanation: Allocate mailboxes in position 3 and 14. Minimum total distance from each houses to nearest mailboxes is |2-3| + |3-3| + |5-3| + |12-14| + |18-14| = 9.
Example 3:
Input: houses = [7,4,6,1], k = 1 Output: 8
Example 4:
Input: houses = [3,6,14,10], k = 4 Output: 0
Constraints:
n == houses.length1 <= n <= 1001 <= houses[i] <= 10^41 <= k <= n- Array
housescontain unique integers.