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Java Solution for LeetCode algorithm problems, continually updating
package g2401_2500.s2421_number_of_good_paths;
// #Hard #Array #Tree #Graph #Union_Find #2022_11_18_Time_31_ms_(99.43%)_Space_62.2_MB_(94.18%)
import java.util.Arrays;
import java.util.Comparator;
public class Solution {
public int numberOfGoodPaths(int[] vals, int[][] edges) {
int n = vals.length;
int[] parent = new int[n];
int[] maxElement = new int[n];
int[] count = new int[n];
for (int i = 0; i < n; i++) {
parent[i] = i;
maxElement[i] = vals[i];
count[i] = 1;
}
Arrays.sort(edges, Comparator.comparingInt(a -> Math.max(vals[a[0]], vals[a[1]])));
int ans = n;
for (int[] it : edges) {
int a = findParent(parent, it[0]);
int b = findParent(parent, it[1]);
if (maxElement[a] != maxElement[b]) {
if (maxElement[a] > maxElement[b]) {
parent[b] = a;
} else {
parent[a] = b;
}
} else {
parent[b] = a;
ans += count[a] * count[b];
count[a] += count[b];
}
}
return ans;
}
private int findParent(int[] parent, int a) {
if (a == parent[a]) {
return a;
}
parent[a] = findParent(parent, parent[a]);
return parent[a];
}
}