You have n gardens, labeled from 1 to n, and an array paths where paths[i] = [xi, yi] describes a bidirectional path between garden xi to garden yi. In each garden, you want to plant one of 4 types of flowers. All gardens have at most 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.
Input Format
Integer n Integer m 2*m values
Output Format
Integer array of size n
Constraints
1 <= n <= 104 0 <= paths.length <= 2 * 104 paths[i].length == 2 1 <= xi, yi <= n xi != yi Every garden has at most 3 paths coming into or leaving it.
Notice
NA
Example
Input
3 3 1 2 2 3 3 1
Output
1 2 3