{leetcode}/problems/process-restricted-friend-requests/[LeetCode - 2076. Process Restricted Friend Requests ^]
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] = [x<sub>i</sub>, y<sub>i</sub>]
means that person x<sub>i</sub>
and person y<sub>i</sub>
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] = [u<sub>j</sub>, v<sub>j</sub>]
is a friend request between person u<sub>j</sub>
and person v<sub>j</sub>
.
A friend request is successful *if u<sub>j</sub>
and v<sub>j</sub>
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, u<sub>j</sub>
and v<sub>j</sub>
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 u<sub>j</sub>
and v<sub>j</sub>
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 ⇐ x<sub>i</sub>, y<sub>i</sub> ⇐ n - 1
-
x<sub>i</sub> != y<sub>i</sub>
-
1 ⇐ requests.length ⇐ 1000
-
requests[j].length == 2
-
0 ⇐ u<sub>j</sub>, v<sub>j</sub> ⇐ n - 1
-
u<sub>j</sub> != v<sub>j</sub>