Infinite sum

This problem presents a concise task: Calculate the sum.

Input

The input consists of a single line containing two integers, a and b, where 1 ≤ a, b ≤ 10.

Output

Output a single line with the word "infinity" if the series diverges. If the series converges to a rational number, provide the sum as an irreducible fraction. If the series converges to an irrational number, output the word "irrational".

Examples