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E. Blood Cousins Return

time limit per test

3 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputPolycarpus got hold of a family tree. The found tree describes the family relations of *n* people, numbered from 1 to *n*. Every person in this tree has at most one direct ancestor. Also, each person in the tree has a name, the names are not necessarily unique.

We call the man with a number *a* a 1-ancestor of the man with a number *b*, if the man with a number *a* is a direct ancestor of the man with a number *b*.

We call the man with a number *a* a *k*-ancestor (*k* > 1) of the man with a number *b*, if the man with a number *b* has a 1-ancestor, and the man with a number *a* is a (*k* - 1)-ancestor of the 1-ancestor of the man with a number *b*.

In the tree the family ties do not form cycles. In other words there isn't a person who is his own direct or indirect ancestor (that is, who is an *x*-ancestor of himself, for some *x*, *x* > 0).

We call a man with a number *a* the *k*-son of the man with a number *b*, if the man with a number *b* is a *k*-ancestor of the man with a number *a*.

Polycarpus is very much interested in how many sons and which sons each person has. He took a piece of paper and wrote *m* pairs of numbers *v*_{i}, *k*_{i}. Help him to learn for each pair *v*_{i}, *k*_{i} the number of distinct names among all names of the *k*_{i}-sons of the man with number *v*_{i}.

Input

The first line of the input contains a single integer *n* (1 ≤ *n* ≤ 10^{5}) — the number of people in the tree. Next *n* lines contain the description of people in the tree. The *i*-th line contains space-separated string *s*_{i} and integer *r*_{i} (0 ≤ *r*_{i} ≤ *n*), where *s*_{i} is the name of the man with a number *i*, and *r*_{i} is either the number of the direct ancestor of the man with a number *i* or 0, if the man with a number *i* has no direct ancestor.

The next line contains a single integer *m* (1 ≤ *m* ≤ 10^{5}) — the number of Polycarpus's records. Next *m* lines contain space-separated pairs of integers. The *i*-th line contains integers *v*_{i}, *k*_{i} (1 ≤ *v*_{i}, *k*_{i} ≤ *n*).

It is guaranteed that the family relationships do not form cycles. The names of all people are non-empty strings, consisting of no more than 20 lowercase English letters.

Output

Print *m* whitespace-separated integers — the answers to Polycarpus's records. Print the answers to the records in the order, in which the records occur in the input.

Examples

Input

6

pasha 0

gerald 1

gerald 1

valera 2

igor 3

olesya 1

5

1 1

1 2

1 3

3 1

6 1

Output

2

2

0

1

0

Input

6

valera 0

valera 1

valera 1

gerald 0

valera 4

kolya 4

7

1 1

1 2

2 1

2 2

4 1

5 1

6 1

Output

1

0

0

0

2

0

0

Codeforces (c) Copyright 2010-2022 Mike Mirzayanov

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