Medium
You are given a list of preferences
for n
friends, where n
is always even.
For each person i
, preferences[i]
contains a list of friends sorted in the order of preference. In other words, a friend earlier in the list is more preferred than a friend later in the list. Friends in each list are denoted by integers from 0
to n-1
.
All the friends are divided into pairs. The pairings are given in a list pairs
, where pairs[i] = [xi, yi]
denotes xi
is paired with yi
and yi
is paired with xi
.
However, this pairing may cause some of the friends to be unhappy. A friend x
is unhappy if x
is paired with y
and there exists a friend u
who is paired with v
but:
x
prefers u
over y
, andu
prefers x
over v
.Return the number of unhappy friends.
Example 1:
Input: n = 4, preferences = [[1, 2, 3], [3, 2, 0], [3, 1, 0], [1, 2, 0]], pairs = [[0, 1], [2, 3]]
Output: 2
Explanation:
Friend 1 is unhappy because:
1 is paired with 0 but prefers 3 over 0, and
3 prefers 1 over 2.
Friend 3 is unhappy because:
3 is paired with 2 but prefers 1 over 2, and
1 prefers 3 over 0.
Friends 0 and 2 are happy.
Example 2:
Input: n = 2, preferences = [[1], [0]], pairs = [[1, 0]]
Output: 0
Explanation: Both friends 0 and 1 are happy.
Example 3:
Input: n = 4, preferences = [[1, 3, 2], [2, 3, 0], [1, 3, 0], [0, 2, 1]], pairs = [[1, 3], [0, 2]]
Output: 4
Constraints:
2 <= n <= 500
n
is even.preferences.length == n
preferences[i].length == n - 1
0 <= preferences[i][j] <= n - 1
preferences[i]
does not contain i
.preferences[i]
are unique.pairs.length == n/2
pairs[i].length == 2
xi != yi
0 <= xi, yi <= n - 1
@Suppress("UNUSED_PARAMETER")
class Solution {
fun unhappyFriends(n: Int, preferences: Array<IntArray>, pairs: Array<IntArray>): Int {
var unhappyFriends = 0
val assignedPair: MutableMap<Int, Int> = HashMap()
for (pair in pairs) {
assignedPair[pair[0]] = pair[1]
assignedPair[pair[1]] = pair[0]
}
for (pair in pairs) {
if (isUnHappy(pair[1], pair[0], preferences, assignedPair)) {
unhappyFriends++
}
if (isUnHappy(pair[0], pair[1], preferences, assignedPair)) {
unhappyFriends++
}
}
return unhappyFriends
}
private fun isUnHappy(
self: Int,
assignedFriend: Int,
preferences: Array<IntArray>,
assignedPairs: Map<Int, Int>,
): Boolean {
val preference = preferences[self]
val assignedFriendPreferenceIndex = findIndex(preference, assignedFriend)
for (i in 0..assignedFriendPreferenceIndex) {
val preferredFriend = preference[i]
val preferredFriendAssignedFriend = assignedPairs[preferredFriend]!!
if (preferredFriendAssignedFriend == self) {
return false
}
val candidateAssignedFriendIndex = findIndex(preferences[preferredFriend], preferredFriendAssignedFriend)
if (isPreferred(self, preferences[preferredFriend], candidateAssignedFriendIndex)) {
return true
}
}
return false
}
private fun isPreferred(self: Int, preference: IntArray, boundary: Int): Boolean {
for (i in 0..boundary) {
if (self == preference[i]) {
return true
}
}
return false
}
private fun findIndex(preference: IntArray, assignedFriend: Int): Int {
for (i in preference.indices) {
if (preference[i] == assignedFriend) {
return i
}
}
return 0
}
}