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.
思路:这题就是一个建模的过程,没什么算法;不是什么好的面试题;
class Solution {
public int unhappyFriends(int n, int[][] preferences, int[][] pairs) {
HashMap> preHashMap = new HashMap<>();
for(int i = 0; i < preferences.length; i++) {
preHashMap.putIfAbsent(i, new ArrayList());
for(int j = 0; j < preferences[i].length; j++) {
preHashMap.get(i).add(preferences[i][j]);
}
}
HashMap pairMap = new HashMap<>();
for(int i = 0; i < pairs.length; i++) {
int a = pairs[i][0];
int b = pairs[i][1];
pairMap.put(a, b);
pairMap.put(b, a);
}
int count = 0;
for(int i = 0; i < n; i++) {
int pair = pairMap.get(i);
List prelist = getPrelist(preHashMap.get(i), pair);
if(unhappy(prelist, i, pair, pairMap, preHashMap)) {
count++;
}
}
return count;
}
private List getPrelist(List list, int pair) {
List res = new ArrayList();
for(int i = 0; i < list.size(); i++) {
if(list.get(i) != pair) {
res.add(list.get(i));
} else {
break;
}
}
return res;
}
/*
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.
*/
private boolean unhappy(List prelist, int x, int y, HashMap pairMap,
HashMap> preHashMap) {
for(Integer u: prelist) {
Integer v = pairMap.get(u);
if(prefer(x, u, y, preHashMap) && prefer(u, x, v, preHashMap)) {
return true;
}
}
return false;
}
// x prefers u over y,
private boolean prefer(int x, int u, int y, HashMap> preHashMap) {
List xprelist = preHashMap.get(x);
int uindex = -1;
int yindex = -1;
for(int i = 0; i < xprelist.size(); i++) {
if(xprelist.get(i) == u) {
uindex = i;
}
if(xprelist.get(i) == y) {
yindex = i;
}
}
return uindex != -1 && yindex != -1 && uindex < yindex;
}
}