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.
\n\nYour 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.
\n\nReturn 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.
\n
Example 1:
\n\n\nInput: n = 3, paths = [[1,2],[2,3],[3,1]]\nOutput: [1,2,3]\nExplanation:\nGardens 1 and 2 have different types.\nGardens 2 and 3 have different types.\nGardens 3 and 1 have different types.\nHence, [1,2,3] is a valid answer. Other valid answers include [1,2,4], [1,4,2], and [3,2,1].\n\n\n
Example 2:
\n\n\nInput: n = 4, paths = [[1,2],[3,4]]\nOutput: [1,2,1,2]\n\n\n
Example 3:
\n\n\nInput: n = 4, paths = [[1,2],[2,3],[3,4],[4,1],[1,3],[2,4]]\nOutput: [1,2,3,4]\n\n\n
\n
Constraints:
\n\n1 <= n <= 1040 <= paths.length <= 2 * 104paths[i].length == 21 <= xi, yi <= nxi != yi有 n 个花园，按从 1 到 n 标记。另有数组 paths ，其中 paths[i] = [xi, yi] 描述了花园 xi 到花园 yi 的双向路径。在每个花园中，你打算种下四种花之一。
另外，所有花园 最多 有 3 条路径可以进入或离开.
\n\n你需要为每个花园选择一种花，使得通过路径相连的任何两个花园中的花的种类互不相同。
\n\n以数组形式返回 任一 可行的方案作为答案 answer，其中 answer[i] 为在第 (i+1) 个花园中种植的花的种类。花的种类用 1、2、3、4 表示。保证存在答案。
\n\n
示例 1：
\n\n\n输入：n = 3, paths = [[1,2],[2,3],[3,1]]\n输出：[1,2,3]\n解释：\n花园 1 和 2 花的种类不同。\n花园 2 和 3 花的种类不同。\n花园 3 和 1 花的种类不同。\n因此，[1,2,3] 是一个满足题意的答案。其他满足题意的答案有 [1,2,4]、[1,4,2] 和 [3,2,1]\n\n\n
示例 2：
\n\n\n输入：n = 4, paths = [[1,2],[3,4]]\n输出：[1,2,1,2]\n\n\n
示例 3：
\n\n\n输入：n = 4, paths = [[1,2],[2,3],[3,4],[4,1],[1,3],[2,4]]\n输出：[1,2,3,4]\n\n\n
\n\n
提示：
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