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