Given a set of N
people (numbered 1, 2, ..., N
), we would like to split everyone into two groups of any size.
Each person may dislike some other people, and they should not go into the same group.
Formally, if dislikes[i] = [a, b]
, it means it is not allowed to put the people numbered a
and b
into the same group.
Return true
if and only if it is possible to split everyone into two groups in this way.
Example 1:
Input: N = 4, dislikes = [[1,2],[1,3],[2,4]] Output: true Explanation: group1 [1,4], group2 [2,3]
Example 2:
Input: N = 3, dislikes = [[1,2],[1,3],[2,3]] Output: false
Example 3:
Input: N = 5, dislikes = [[1,2],[2,3],[3,4],[4,5],[1,5]] Output: false
Note:
<li><code>1 <= N <= 2000</code></li>
<li><code>0 <= dislikes.length <= 10000</code></li>
<li><code>1 <= dislikes[i][j] <= N</code></li>
<li><code>dislikes[i][0] < dislikes[i][1]</code></li>
<li>There does not exist <code>i != j</code> for which <code>dislikes[i] == dislikes[j]</code>.</li>