In a town, there are N
people labelled from 1
to N
. There is a rumor that one of these people is secretly the town judge.
If the town judge exists, then:
- The town judge trusts nobody.
- Everybody (except for the town judge) trusts the town judge.
- There is exactly one person that satisfies properties 1 and 2.
You are given trust
, an array of pairs trust[i] = [a, b]
representing that the person labelled a
trusts the person labelled b
.
If the town judge exists and can be identified, return the label of the town judge. Otherwise, return -1
.
Example 1:
Input: N = 2, trust = [[1,2]]
Output: 2
Example 2:
Input: N = 3, trust = [[1,3],[2,3]]
Output: 3
Example 3:
Input: N = 3, trust = [[1,3],[2,3],[3,1]]
Output: -1
Example 4:
Input: N = 3, trust = [[1,2],[2,3]]
Output: -1
Example 5:
Input: N = 4, trust = [[1,3],[1,4],[2,3],[2,4],[4,3]]
Output: 3
class Solution { public int findJudge(int N, int[][] trust) { if(trust.length == 1) return trust[0][1]; if(trust.length == 0) return 1; Set<Integer> set = new HashSet(); for(int i = 0; i < trust.length; i++){ set.add(trust[i][1]); } for(int i = 0; i < trust.length; i++){ if(set.contains(trust[i][0])) set.remove(trust[i][0]); } int res = -1; int ind = 0; if(set.size() != 0) res = set.iterator().next(); for(int i = 0; i < trust.length; i++){ if(trust[i][1] == res) ind++; } return ind == N-1 ? res : -1; } }
普通方法得考虑很多边角问题比如数组空、1,不是所有其他人相信judge
用图就比较方便
https://leetcode.com/problems/find-the-town-judge/discuss/242938/JavaC%2B%2BPython-Directed-Graph
参考lee神
class Solution { public int findJudge(int N, int[][] trust) { int[] arr = new int[N+1]; for(int[] a: trust){ arr[a[0]]--; arr[a[1]]++; } for(int i = 1; i <= N; i++){ if(arr[i] == N-1) return i; } return -1; } }
in-degree - out-degree = N - 1