1042. Flower Planting With No Adjacent

https://leetcode.com/problems/flower-planting-with-no-adjacent

Description

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.

Example 1:

**Input:** n = 3, paths = [[1,2],[2,3],[3,1]]
**Output:** [1,2,3]
**Explanation:**
Gardens 1 and 2 have different types.
Gardens 2 and 3 have different types.
Gardens 3 and 1 have different types.
Hence, [1,2,3] is a valid answer. Other valid answers include [1,2,4], [1,4,2], and [3,2,1].

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]

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.

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