Question

1583. Count Unhappy Friends

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Description

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, and
• u 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.
• All values in preferences[i] are unique.
• pairs.length == n/2
• pairs[i].length == 2
• xi != yi
• 0 <= xi, yi <= n - 1
• Each person is contained in exactly one pair.

Solutions

Solution 1

class Solution:
  def unhappyFriends(
    self, n: int, preferences: List[List[int]], pairs: List[List[int]]
  ) -> int:
    d = [{p: i for i, p in enumerate(v)} for v in preferences]
    p = {}
    for x, y in pairs:
      p[x] = y
      p[y] = x
    ans = 0
    for x in range(n):
      y = p[x]
      ans += any(d[u][x] < d[u][p[u]] for u in preferences[x][: d[x][y]])
    return ans

class Solution {
  public int unhappyFriends(int n, int[][] preferences, int[][] pairs) {
    int[][] d = new int[n][n];
    for (int i = 0; i < n; ++i) {
      for (int j = 0; j < n - 1; ++j) {
        d[i][preferences[i][j]] = j;
      }
    }
    int[] p = new int[n];
    for (var e : pairs) {
      int x = e[0], y = e[1];
      p[x] = y;
      p[y] = x;
    }
    int ans = 0;
    for (int x = 0; x < n; ++x) {
      int y = p[x];
      int find = 0;
      for (int i = 0; i < d[x][y]; ++i) {
        int u = preferences[x][i];
        if (d[u][x] < d[u][p[u]]) {
          find = 1;
          break;
        }
      }
      ans += find;
    }
    return ans;
  }
}

class Solution {
public:
  int unhappyFriends(int n, vector<vector<int>>& preferences, vector<vector<int>>& pairs) {
    int d[n][n];
    int p[n];
    for (int i = 0; i < n; ++i) {
      for (int j = 0; j < n - 1; ++j) {
        d[i][preferences[i][j]] = j;
      }
    }
    for (auto& e : pairs) {
      int x = e[0], y = e[1];
      p[x] = y;
      p[y] = x;
    }
    int ans = 0;
    for (int x = 0; x < n; ++x) {
      int y = p[x];
      int find = 0;
      for (int i = 0; i < d[x][y]; ++i) {
        int u = preferences[x][i];
        if (d[u][x] < d[u][p[u]]) {
          find = 1;
          break;
        }
      }
      ans += find;
    }
    return ans;
  }
};

func unhappyFriends(n int, preferences [][]int, pairs [][]int) (ans int) {
  d := make([][]int, n)
  p := make([]int, n)
  for i := range d {
    d[i] = make([]int, n)
    for j := 0; j < n-1; j++ {
      d[i][preferences[i][j]] = j
    }
  }
  for _, e := range pairs {
    x, y := e[0], e[1]
    p[x] = y
    p[y] = x
  }
  for x := 0; x < n; x++ {
    y := p[x]
    find := 0
    for i := 0; i < d[x][y]; i++ {
      u := preferences[x][i]
      if d[u][x] < d[u][p[u]] {
        find = 1
        break
      }
    }
    ans += find
  }
  return
}