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
. If a trust relationship does not exist in trust
array, then such a trust relationship does not exist.
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 <= 104
trust[i].length == 2
All the pairs of
trust
are unique.ai != bi
1 <= ai, bi <= n
Solution
/**
* @param {number} n
* @param {number[][]} trust
* @return {number}
*/
var findJudge = function(n, trust) {
var map = Array(n + 1).fill(0).map(() => [0, 0]);
for (var i = 0; i < trust.length; i++) {
map[trust[i][0]][0] += 1;
map[trust[i][1]][1] += 1;
}
for (var j = 1; j <= n; j++) {
if (map[j][0] === 0 && map[j][1] === n - 1) return j;
}
return -1;
};
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).