m0886.py

"""Possible Bipartition
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

Constraints:

* 1 <= N <= 2000
* 0 <= dislikes.length <= 10000
* dislikes[i].length == 2
* 1 <= dislikes[i][j] <= N
* dislikes[i][0] < dislikes[i][1]
* There does not exist i != j for which dislikes[i] == dislikes[j].
"""