Your computer engineering instructor decided to give you another task (you are the best in the class, after all):

Write a program that prints the result of ~N ^ P \bmod M~.

Unimpressed by the supposed challenge, you open up you favourite text editor (Vim, of course) and begin typing away~\ldots~ in assembly.

Input Specification

The first line will contain 3 space-separated integers, ~N~ ~(1 \le N \le 100)~, ~P~ ~(1 \le P \le 10^9)~, and ~M~ ~(P < M \le 10^9 + 7)~.

Output Specification

The result of ~N^P \bmod M~.

Sample Input 1

2 5 11

Sample Output 1

10

Sample Input 2

9 100 1000000007

Sample Output 2

136318165

Note

To use libc in NASM, the first line of your program should be ; libc. For all others, it should be ; features: libc.