Sum of Distances in Tree
There is an undirected connected tree with n nodes labeled from 0 to n - 1 and n - 1 edges.
You are given the integer n and the array edges where edges[i] = [ai, bi] indicates that there is an edge between nodes ai and bi in the tree.
Return an array answer of length n where answer[i] is the sum of the distances between the i^th node in the tree and all other nodes.
Example 1
Input
n = 6, edges = [[0,1],[0,2],[2,3],[2,4],[2,5]]Output
[8,12,6,10,10,10]For node 0, the distance sum is dist(0,1) + dist(0,2) + dist(0,3) + dist(0,4) + dist(0,5) = 1 + 1 + 2 + 2 + 2 = 8, and the other entries are computed similarly.
Example 2
Input
n = 1, edges = []Output
[0]With only one node, there are no other nodes to measure distance to, so the sum is 0.
Constraints
- 1 <= n <= 3 * 10^4
- edges.length == n - 1
- edges[i].length == 2
- 0 <= ai, bi < n
- ai != bi
- The given input represents a valid tree.