You are given a tree (an acyclic undirected connected graph) with n nodes. The tree nodes are numbered from 1 to n. Each node has a color, white or black. All the nodes are black initially. We will ask you to perform some instructions of the following form:

• 0 u: ask for how many nodes are connected to u, two nodes are connected if all the node on the path from u to v (inclusive u and v) have the same color.
• 1 u: toggle the color of u (that is, from black to white, or from white to black).

Input

The first line contains a number n that denotes the number of nodes in the tree (1 ≤ n ≤ 10⁵). In each of the following n-1 lines, there will be two numbers (u, v) that describes an edge of the tree (1 ≤ u, v ≤ n). The next line contains a number m denoting number of operations we are going to process (1 ≤ m ≤ 10⁵). Each of the following m lines describe an operation (t, u) as we mentioned above(0 ≤ t ≤ 1, 1 ≤ u ≤ n).

Output

For each query operation, output the corresponding result.

Example

Input 1:
5
1 2
1 3
1 4
1 5
3
0 1
1 1
0 1
Output 1:
5
1

Input 2:
7
1 2
1 3
2 4
2 5
3 6
3 7
4
0 1
1 1
0 2
0 3


Output 2:
7
3
3


Warning: large input/output data,be careful with certain languages