All Tracks Math Number Theory Basic Number Theory-1 Problem

Rhezo and Big Powers
Tag(s):

Easy-Medium, Math, Number Theory

Problem
Editorial
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Rhezo likes numbers of the form $$A^B$$. But computing $$A^B$$, for any $$2$$ numbers $$A$$ and $$B$$ is a hard task for him. He would like you to help him out in this.

Input:
First line of input contains a single integer $$A$$. Second line contains the integer $$B$$.

Output:
Help Rhezo find $$A^B$$. As this number can be large, print it modulo $$10^9+7$$.

Constraints:

  • $$ 1 \le A \le 10^9 $$
  • $$ 1 \le B \le 10^{10^5} $$
SAMPLE INPUT
4
3
SAMPLE OUTPUT
64
Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: C, C++, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala 2.11.8, Swift, Visual Basic

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This Problem was Asked in

Happay

Challenge Name

Happay Hiring Challenge

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