Given an undirected tree consisting of
n
vertices numbered from 0
to n-1
, which has some apples in their vertices. You spend 1 second to walk over one edge of the tree. Return the minimum time in seconds you have to spend to collect all apples in the tree, starting at vertex 0 and coming back to this vertex.The edges of the undirected tree are given in the array
edges
, where edges[i] = [ai, bi]
means that exists an edge connecting the vertices ai
and bi
. Additionally, there is a boolean array hasApple
, where hasApple[i] = true
means that vertex i
has an apple; otherwise, it does not have any apple.
Example 3:
Constraints:
1 <= n <= 105
edges.length == n - 1
edges[i].length == 2
0 <= ai < bi <= n - 1
hasApple.length == n