Given a string, your task is to process operations where you cut a substring and paste it to the end of the string. What is the final string after all the operations?

Input

The first input line has two integers n and m: the length of the string and the number of operations. The characters of the string are numbered 1,2,\dots,n.

The next line has a string of length n that consists of characters A–Z.

Finally, there are m lines that describe the operations. Each line has two integers a and b: you cut a substring from position a to position b.

Output

Print the final string after all the operations.

Constraints

• 1 \le n, m \le 2 \cdot 10^5
• 1 \le a \le b \le n

Example

Input:

7 2
AYBABTU
3 5
3 5

Output:

AYABTUB