'''
A googol (10100) is a massive number: one followed by one-hundred zeros; 100100 is almost unimaginably large: one followed by two-hundred zeros. Despite their size, the sum of the digits in each number is only 1.

Considering natural numbers of the form, ab, where a, b < 100, what is the maximum digital sum?
'''

import time
import math

def intSum(n):
    res = 0
    while n > 0:
        res += n % 10
        n //= 10
    
    return res

def main():
    print("Hello, this is Patrick")
    t0 = time.time()

    maxSum = 0

    for a in range(100):
        if a % 10 == 0:
            continue
        for b in range(100):
            if b % 10 == 0:
                continue
            
            if intSum(a**b) > maxSum:
                maxSum = intSum(a**b)

    print(maxSum, time.time() - t0)

if __name__ == "__main__":
    main()