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package g1701_1800.s1766_tree_of_coprimes;
// #Hard #Math #Depth_First_Search #Breadth_First_Search #Tree
// #2022_04_30_Time_111_ms_(94.07%)_Space_155.4_MB_(40.68%)
import java.util.ArrayList;
import java.util.Arrays;
@SuppressWarnings({"unchecked", "java:S107"})
public class Solution {
private void dfs(
int[] v2n,
int[] v2d,
int depth,
int parent,
int node,
int[] ans,
int[] nums,
ArrayList[] neighbors) {
int d = Integer.MIN_VALUE;
int n = -1;
int v = nums[node];
for (int i = 1; i <= 50; i++) {
if (v2n[i] != -1 && v2d[i] > d && gcd(i, v) == 1) {
d = v2d[i];
n = v2n[i];
}
}
ans[node] = n;
int v2NOld = v2n[v];
int v2DOld = v2d[v];
v2n[v] = node;
v2d[v] = depth;
for (int child : neighbors[node]) {
if (child == parent) {
continue;
}
dfs(v2n, v2d, depth + 1, node, child, ans, nums, neighbors);
}
v2n[v] = v2NOld;
v2d[v] = v2DOld;
}
private int gcd(int x, int y) {
return x == 0 ? y : gcd(y % x, x);
}
public int[] getCoprimes(int[] nums, int[][] edges) {
int n = nums.length;
ArrayList[] neighbors = new ArrayList[n];
for (int i = 0; i < n; i++) {
neighbors[i] = new ArrayList<>();
}
for (int[] edge : edges) {
neighbors[edge[0]].add(edge[1]);
neighbors[edge[1]].add(edge[0]);
}
int[] ans = new int[n];
int[] v2n = new int[51];
int[] v2d = new int[51];
Arrays.fill(v2n, -1);
dfs(v2n, v2d, 0, -1, 0, ans, nums, neighbors);
return ans;
}
}