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 != yiCompiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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