There exists an undirected tree with n
nodes numbered 0
to n - 1
. You are given 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
in the tree.
Initially, all nodes are unmarked. For each node i
:
i
is odd, the node will get marked at time x
if there is at least one node adjacent to it which was marked at time x - 1
.i
is even, the node will get marked at time x
if there is at least one node adjacent to it which was marked at time x - 2
.Return an array times
where times[i]
is the time when all nodes get marked in the tree, if you mark node i
at time t = 0
.
Note that the answer for each times[i]
is independent, i.e. when you mark node i
all other nodes are unmarked.
Example 1:
Input: edges = [[0,1],[0,2]]
Output: [2,4,3]
Explanation:
i = 0
:
t = 1
, and Node 2 at t = 2
.i = 1
:
t = 2
, and Node 2 at t = 4
.i = 2
:
t = 2
, and Node 1 at t = 3
.Example 2:
Input: edges = [[0,1]]
Output: [1,2]
Explanation:
i = 0
:
t = 1
.i = 1
:
t = 2
.Example 3:
Input: edges = [[2,4],[0,1],[2,3],[0,2]]
Output: [4,6,3,5,5]
Explanation:
Constraints:
2 <= n <= 105
edges.length == n - 1
edges[i].length == 2
0 <= edges[i][0], edges[i][1] <= n - 1
edges
represents a valid tree.