Why I have to finish so many assignments???

Jamie is getting very busy with his school life. He starts to forget the assignments that he has to do. He decided to write the things down on a to-do list. He assigns a value priority for each of his assignment (lower value means more important) so he can decide which he needs to spend more time on.

After a few days, Jamie finds out the list is too large that he can't even manage the list by himself! As you are a good friend of Jamie, help him write a program to support the following operations on the to-do list:

set a_i x_i — Add assignment a_i to the to-do list if it is not present, and set its priority to x_i. If assignment a_i is already in the to-do list, its priority is changed to x_i.
remove a_i — Remove assignment a_i from the to-do list if it is present in it.
query a_i — Output the number of assignments that are more important (have a smaller priority value) than assignment a_i, so Jamie can decide a better schedule. Output - 1 if a_i is not in the to-do list.
undo d_i — Undo all changes that have been made in the previous d_i days (not including the day of this operation)

At day 0, the to-do list is empty. In each of the following q days, Jamie will do exactly one out of the four operations. If the operation is a query, you should output the result of the query before proceeding to the next day, or poor Jamie cannot make appropriate decisions.

Input

The first line consists of a single integer q (1 ≤ q ≤ 10⁵) — the number of operations.

The following q lines consists of the description of the operations. The i-th line consists of the operation that Jamie has done in the i-th day. The query has the following format:

The first word in the line indicates the type of operation. It must be one of the following four: set, remove, query, undo.

If it is a set operation, a string a_i and an integer x_i follows (1 ≤ x_i ≤ 10⁹). a_i is the assignment that need to be set to priority x_i.
If it is a remove operation, a string a_i follows. a_i is the assignment that need to be removed.
If it is a query operation, a string a_i follows. a_i is the assignment that needs to be queried.
If it is a undo operation, an integer d_i follows (0 ≤ d_i < i). d_i is the number of days that changes needed to be undone.

All assignment names a_i only consists of lowercase English letters and have a length 1 ≤ |a_i| ≤ 15.

It is guaranteed that the last operation is a query operation.

Output

For each query operation, output a single integer — the number of assignments that have a priority lower than assignment a_i, or - 1 if a_i is not in the to-do list.

Interaction

If the operation is a query, you should output the result of the query and flush the output stream before proceeding to the next operation. Otherwise, you may get the verdict Idleness Limit Exceed.

For flushing the output stream, please refer to the documentation of your chosen programming language. The flush functions of some common programming languages are listed below:

C: fflush(stdout);
C++: cout « flush;
Java: System.out.flush();

Idx	Name	Rating
A	Jamie and Alarm Snooze	900
B	Jamie and Binary Sequence (changed after round)	2000
C	Jamie and Interesting Graph	1600
D	Jamie and To-do List	2200
E	Jamie and Tree	2400

Codeforces Round 457 (Div. 2)