Class Solution
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- All Implemented Interfaces:
public final class Solution
834 - Sum of Distances in Tree.
Hard
There is an undirected connected tree with
n
nodes labeled from0
ton - 1
andn - 1
edges.You are given the integer
n
and the arrayedges
where <code>edgesi = a<sub>i</sub>, b<sub>i</sub></code> indicates that there is an edge between nodes <code>a<sub>i</sub></code> and <code>b<sub>i</sub></code> in the tree.Return an array
answer
of lengthn
whereanswer[i]
is the sum of the distances between the <code>i<sup>th</sup></code> 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
Explanation: The tree is shown above.
We can see that dist(0,1) + dist(0,2) + dist(0,3) + dist(0,4) + dist(0,5) equals 1 + 1 + 2 + 2 + 2 = 8.
Hence, answer0 = 8, and so on.
Example 2:
Input: n = 1, edges = []
Output: 0
Example 3:
Input: n = 2, edges = [1,0]
Output: 1,1
Constraints:
<code>1 <= n <= 3 * 10<sup>4</sup></code>
edges.length == n - 1
edges[i].length == 2
<code>0 <= a<sub>i</sub>, b<sub>i</sub>< n</code>
<code>a<sub>i</sub> != b<sub>i</sub></code>
The given input represents a valid tree.