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 differenttrust[i][0] != trust[i][1]
1 <= trust[i][0], trust[i][1] <= N
题解:别看题目有点长,但其实都是唬人的。把trust数组遍历一遍,建立一个矩阵,但是不同长,然后在遍历一遍矩阵,如果他的flag为true,就代表他有信任的人,就说明他不是town judge,如果有且仅有一个person,信任他的人数是N-1,并且他的flag不为true,则返回1,否则返回-1
/**
* @param {number} N
* @param {number[][]} trust
* @return {number}
*/
var findJudge = function(N, trust) {
let flag = new Array(N)
let tr = new Array(N)
let len = trust.length
for(let i = 1; i <= N; i ++) {
tr[i] = []
}
for(let i = 0; i < len; i ++) {
flag[trust[i][0]] = true
if(!flag[trust[i][1]]) {
tr[trust[i][1]].push(trust[i][0])
}
}
let ans = -1
for(let i = 1; i <= N; i ++) {
if(!flag[i] && tr[i].length === N - 1) {
if(ans !== -1) return -1
else ans = i
}
}
return ans
};