UVa 343 - What Base Is This?

343 - What base is this

 * http://acm.uva.es/p/v3/343.html

Summary
Given two numbers n1, n2 calculate find a the bases of both numbers such that n1 (base b1)= n2 (base b2).

Explanation

 * Calculate the base 10 equivalent of n1 (base 1) and n2 (base 2) for each base and when they are equal to each other they are both equivalent.
 * White space should not affect the input.

Gotchas

 * The problem states the bases are from 1 to 36 but there is no base 1 for this question!!
 * Use unsigned long long just incase, the cases will most likely overflow signed int.

Optimizations
You could generate the values for the bases and store it into an array. The lookup will save you the cost of calculating it every time.

Input
12  5    10     A 12 34 123  456  1    2  10   2  10 36  35 Z Z                     35 0 0

Output
12 (base 3) = 5 (base 6) 10 (base 10) = A (base 11) 12 (base 17) = 34 (base 5) 123 is not equal to 456 in any base 2..36 1 is not equal to 2 in any base 2..36 10 (base 2) = 2 (base 3) 10 (base 27) = 36 (base 7) 35 (base 10) = Z (base 36) Z (base 36) = 35 (base 10) 0 (base 2) = 0 (base 2)