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There is an undirected tree with n nodes labeled from 1 to n, rooted at node 1. The tree is represented by a 2D integer array edges of length n - 1, where edges[i] = [ui, vi] indicates that there is an edge between nodes ui and vi. Initially, all edges have a weight of 0. You must assign each edge a weight of either 1 or 2. The cost of a path between any two nodes u and v is the total weight of all edges in the path connecting them. Select any one node x at the maximum depth. Return the number of ways to assign edge weights in the path from node 1 to x such that its total cost is odd. Since the answer may be large, return it modulo 109 + 7. Note: Ignore all edges not in the path from node 1 to x.
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There is an undirected tree with n nodes labeled from 1 to n, rooted at node 1. The tree is represented by a 2D integer array edges of length n - 1, where edges[i] = [ui, vi] indicates that there is an edge between nodes ui and vi. Initially, all edges have a weight of 0. You must assign each edge a weight of either 1 or 2. The cost of a path between any two nodes u and v is the total weight of all edges in the path connecting them. Select any one node x at the maximum depth. Return the number of ways to assign edge weights in the path from node 1 to x such that its total cost is odd. Since the answer may be large, return it modulo 109 + 7. Note: Ignore all edges not in the path from node 1 to x.
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edges = [[1,2]]
1
edges = [[1,2],[1,3],[3,4],[3,5]]
2
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Solve Number of Ways to Assign Edge Weights I — There is an undirected tree with n nodes labeled from 1 to n, rooted at node 1. ...
Here's the optimal approach using Math:
Time: O(n) | Space: O(n)
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