You have N gardens, labelled 1 to N. In each garden, you want to plant one of 4 types of flowers.
paths[i] = [x, y] describes the existence of a bidirectional path from garden x to garden y.
Also, there is no garden that has more than 3 paths coming into or leaving it.
Your task is to choose a flower type for each garden such that, for any two gardens connected by a path, they have different types of flowers.
Return any such a choice as an array answer, where answer[i] is the type of flower planted in the (i+1)-th garden. The flower types are denoted 1, 2, 3, or 4. It is guaranteed an answer exists.
Example 1:
Input: N = 3, paths = [[1,2],[2,3],[3,1]] Output: [1,2,3]
Example 2:
Input: N = 4, paths = [[1,2],[3,4]] Output: [1,2,1,2]
Example 3:
Input: N = 4, paths = [[1,2],[2,3],[3,4],[4,1],[1,3],[2,4]] Output: [1,2,3,4]
Note:
<li><code><span>1 <= N <= 10000</span></code></li>
<li><code><span>0 <= paths.size <= 20000</span></code></li>
<li>No garden has 4 or more paths coming into or leaving it.</li>
<li>It is guaranteed an answer exists.</li>