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#!/usr/bin/env python3
# Challenge 066
#
# TASK #2 > Power Integers
# Submitted by: Mohammad S Anwar
#
# You are given an integer $N.
#
# Write a script to check if the given number can be expressed as mn where m and
# n are positive integers. Otherwise print 0.
#
# Please make sure m > 1 and n > 1.
#
# BONUS: If there are more than one ways to express the given number then print
# all possible solutions.
#
# Example 1:
# For given $N = 9, it should print 32 or 3^2.
#
# Example 2:
# For given $N = 45, it should print 0.
#
# Example 3:
# For given $N = 64, it should print all or one of 8^2 or 2^6 or 4^3.
import sys
from math import sqrt
def show_powers(n):
has_solution = False
for b in range(2, int(sqrt(n))+1):
for e in range(2, n):
if b**e == n:
print(str(b)+"^"+str(e))
has_solution = True
if not has_solution:
print(0)
N = int(sys.argv[1])
show_powers(N)
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