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
@Suppress("NAME_SHADOWING")
class Solution {
fun friendRequests(n: Int, restrictions: Array<IntArray>, requests: Array<IntArray>): BooleanArray {
// Check for each request whether it can cause conflict or not
val uf = UnionFind(n)
val res = BooleanArray(requests.size)
for (i in requests.indices) {
val p1 = uf.findParent(requests[i][0])
val p2 = uf.findParent(requests[i][1])
if (p1 == p2) {
res[i] = true
continue
}
// Check whether the current request will violate any restriction or not
var flag = true
for (restrict in restrictions) {
val r1 = uf.findParent(restrict[0])
val 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 class UnionFind(n: Int) {
var parent: IntArray = IntArray(n)
init {
for (i in 0 until n) {
parent[i] = i
}
}
fun findParent(user: Int): Int {
var user = user
while (parent[user] != user) {
parent[user] = parent[parent[user]]
user = parent[user]
}
return user
}
}
}