Given an undirected connected acyclic graph where each node has at most 3 edges and nodes are colored (Red/Black/White or similar color patterns), find a root node such that when the graph is viewed as a binary tree from that root, it satisfies specific color pattern constraints across levels (e.g., RBWRBW repeating pattern or alternating colors). Return -1 if no valid root exists.
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Find a valid root node in a colored tree. Given a tree with n nodes, each colored 'R', 'A', or 'W', determine if there exists a node that can serve as the root of a binary tree such that the colors follow one of six possible repeating 3-color patterns level by level. Return the index of a valid root node if it exists, or -1 if no solution exists. The tree has at most 3 neighbors per node, and the time complexity should be O(V).
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