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:
<li>The town judge trusts nobody.</li>
<li>Everybody (except for the town judge) trusts the town judge.</li>
<li>There is exactly one person that satisfies properties 1 and 2.</li>
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:
<li><code>1 <= N <= 1000</code></li>
<li><code>trust.length <= 10000</code></li>
<li><code>trust[i]</code> are all different</li>
<li><code>trust[i][0] != trust[i][1]</code></li>
<li><code>1 <= trust[i][0], trust[i][1] <= N</code></li>