Problem
In a town, there are n
people labeled 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 an array trust
where trust[i] = [ai, bi]
representing that the person labeled ai
trusts the person labeled bi
.
Return **the label of the town judge if the town judge exists and can be identified, or return *-1
* otherwise**.
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
Constraints:
1 <= n <= 1000
0 <= trust.length <= 10^4
trust[i].length == 2
All the pairs of
trust
are unique.ai != bi
1 <= ai, bi <= n
Solution (Java)
class Solution {
public int findJudge(int n, int[][] trust) {
if (trust.length < n - 1) {
return -1;
}
int[] trustScores = new int[n];
for (int[] t : trust) {
trustScores[t[1] - 1]++;
trustScores[t[0] - 1]--;
}
for (int i = 0; i < n; i++) {
if (trustScores[i] == n - 1) {
return i + 1;
}
}
return -1;
}
}
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).