Victor and String

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 524288/262144 K (Java/Others)

Description

Victor loves to play with string. He thinks a string is charming as the string is a palindromic string.

Victor wants to play $n$ times. Each time he will do one of following four operations.

Operation 1 : add a char $c$ to the beginning of the string.

Operation 2 : add a char $c$ to the end of the string.

Operation 3 : ask the number of different charming substrings.

Operation 4 : ask the number of charming substrings, the same substrings which starts in different location has to be counted.

At the beginning, Victor has an empty string.

Input

The input contains several test cases, at most $5$ cases.

In each case, the first line has one integer $n$ means the number of operations.

The first number of next $n$ line is the integer $op$, meaning the type of operation. If $op$=$1$ or $2$, there will be a lowercase English letters followed.

$1\leq n \leq 100000$.

Output

For each query operation(operation 3 or 4), print the correct answer.

Sample Input

6 1 a 1 b 2 a 2 c 3 4 8 1 a 2 a 2 a 1 a 3 1 b 3 4

Sample Output

4 5 4 5 11

Hint

hujie

Source

BestCoder Round #52 (div.1) ($)

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