Hard
You are given an integer n
indicating the number of people in a network. Each person is labeled from 0
to n - 1
.
You are also given a 0-indexed 2D integer array restrictions
, where restrictions[i] = [xi, yi]
means that person xi
and person yi
cannot become friends, either directly or indirectly through other people.
Initially, no one is friends with each other. You are given a list of friend requests as a 0-indexed 2D integer array requests
, where requests[j] = [uj, vj]
is a friend request between person uj
and person vj
.
A friend request is successful if uj
and vj
can be friends. Each friend request is processed in the given order (i.e., requests[j]
occurs before requests[j + 1]
), and upon a successful request, uj
and vj
become direct friends for all future friend requests.
Return a boolean array result
, where each result[j]
is true
if the jth
friend request is successful or false
if it is not.
Note: If uj
and vj
are already direct friends, the request is still successful.
Example 1:
Input: n = 3, restrictions = [[0,1]], requests = [[0,2],[2,1]]
Output: [true,false]
Explanation:
Request 0: Person 0 and person 2 can be friends, so they become direct friends.
Request 1: Person 2 and person 1 cannot be friends since person 0 and person 1 would be indirect friends (1–2–0).
Example 2:
Input: n = 3, restrictions = [[0,1]], requests = [[1,2],[0,2]]
Output: [true,false]
Explanation:
Request 0: Person 1 and person 2 can be friends, so they become direct friends.
Request 1: Person 0 and person 2 cannot be friends since person 0 and person 1 would be indirect friends (0–2–1).
Example 3:
Input: n = 5, restrictions = [[0,1],[1,2],[2,3]], requests = [[0,4],[1,2],[3,1],[3,4]]
Output: [true,false,true,false]
Explanation:
Request 0: Person 0 and person 4 can be friends, so they become direct friends.
Request 1: Person 1 and person 2 cannot be friends since they are directly restricted.
Request 2: Person 3 and person 1 can be friends, so they become direct friends.
Request 3: Person 3 and person 4 cannot be friends since person 0 and person 1 would be indirect friends (0–4–3–1).
Constraints:
2 <= n <= 1000
0 <= restrictions.length <= 1000
restrictions[i].length == 2
0 <= xi, yi <= n - 1
xi != yi
1 <= requests.length <= 1000
requests[j].length == 2
0 <= uj, vj <= n - 1
uj != vj
public class Solution {
public boolean[] friendRequests(int n, int[][] restrictions, int[][] requests) {
// Check for each request whether it can cause conflict or not
UnionFind uf = new UnionFind(n);
boolean[] res = new boolean[requests.length];
for (int i = 0; i < requests.length; i++) {
int p1 = uf.findParent(requests[i][0]);
int p2 = uf.findParent(requests[i][1]);
if (p1 == p2) {
res[i] = true;
continue;
}
// Check whether the current request will violate any restriction or not
boolean flag = true;
for (int[] restrict : restrictions) {
int r1 = uf.findParent(restrict[0]);
int r2 = uf.findParent(restrict[1]);
if ((r1 == p1 && r2 == p2) || (r1 == p2 && r2 == p1)) {
flag = false;
break;
}
}
if (flag) {
res[i] = true;
// Union
uf.parent[p1] = p2;
}
}
return res;
}
private static class UnionFind {
int n;
int[] parent;
public UnionFind(int n) {
this.n = n;
this.parent = new int[n];
for (int i = 0; i < n; i++) {
parent[i] = i;
}
}
public int findParent(int user) {
while (parent[user] != user) {
parent[user] = parent[parent[user]];
user = parent[user];
}
return user;
}
}
}