g1401_1500.s1478_allocate_mailboxes.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g1401_1500.s1478_allocate_mailboxes;
// #Hard #Array #Dynamic_Programming #Math #Sorting
// #2022_04_04_Time_12_ms_(78.87%)_Space_41.6_MB_(89.79%)
import java.util.Arrays;
public class Solution {
public int minDistance(int[] houses, int k) {
Arrays.sort(houses);
int n = houses.length;
int[][] dp = new int[n][k + 1];
for (int[] ar : dp) {
Arrays.fill(ar, -1);
}
return recur(houses, 0, k, dp);
}
private int recur(int[] houses, int idx, int k, int[][] dp) {
if (dp[idx][k] != -1) {
return dp[idx][k];
}
if (k == 1) {
int dist = calDist(houses, idx, houses.length - 1);
dp[idx][k] = dist;
return dp[idx][k];
}
int min = Integer.MAX_VALUE;
for (int i = idx; i + k - 1 < houses.length; i++) {
int dist = calDist(houses, idx, i);
dist += recur(houses, i + 1, k - 1, dp);
min = Math.min(min, dist);
}
dp[idx][k] = min;
return min;
}
private int calDist(int[] ar, int start, int end) {
int result = 0;
while (start < end) {
result += ar[end--] - ar[start++];
}
return result;
}
}