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
Note:
1 <= N <= 1000
trust.length <= 10000
-
trust[i]
are all different trust[i][0] != trust[i][1]
1 <= trust[i][0], trust[i][1] <= N
在一个小镇里,按从 1
到 N
标记了 N
个人。传言称,这些人中有一个是小镇上的秘密法官。
如果小镇的法官真的存在,那么:
- 小镇的法官不相信任何人。
- 每个人(除了小镇法官外)都信任小镇的法官。
- 只有一个人同时满足属性 1 和属性 2 。
给定数组 trust
,该数组由信任对 trust[i] = [a, b]
组成,表示标记为 a
的人信任标记为 b
的人。
如果小镇存在秘密法官并且可以确定他的身份,请返回该法官的标记。否则,返回 -1
。
示例 1:
输入:N = 2, trust = [[1,2]] 输出:2
示例 2:
输入:N = 3, trust = [[1,3],[2,3]] 输出:3
示例 3:
输入:N = 3, trust = [[1,3],[2,3],[3,1]] 输出:-1
示例 4:
输入:N = 3, trust = [[1,2],[2,3]] 输出:-1
示例 5:
输入:N = 4, trust = [[1,3],[1,4],[2,3],[2,4],[4,3]] 输出:3
提示:
1 <= N <= 1000
trust.length <= 10000
-
trust[i]
是完全不同的 trust[i][0] != trust[i][1]
1 <= trust[i][0], trust[i][1] <= N
Runtime: 852 ms Memory Usage: 19.7 MB
1 class Solution { 2 func findJudge(_ N: Int, _ trust: [[Int]]) -> Int { 3 var st:[Set<Int>] = [Set<Int>](repeating:Set<Int>(),count:N+1) 4 var rst:[Set<Int>] = [Set<Int>](repeating:Set<Int>(),count:N+1) 5 for e in trust 6 { 7 st[e[1]].insert(e[0]) 8 rst[e[0]].insert(e[1]) 9 } 10 for i in 1...N 11 { 12 if st[i].count == N-1 && rst[i].count == 0 13 { 14 return i 15 } 16 } 17 return -1 18 } 19 }