题目描述

Problem D: Division

Given t, a, b positive integers not bigger than 2147483647, establish whether (t^a - 1)/(t^b -1) is an integer with less than 100 digits. Each line of input contains t, a, b. For each line of input print the formula followed by its value, or followed by "is not an integer with less than 100 digits.", whichever is appropriate.

样例 1

输入

2 9 3
2 3 2
21 42 7
123 911 1

输出

(2^9-1)/(2^3-1) 73
(2^3-1)/(2^2-1) is not an integer with less than 100 digits.
(21^42-1)/(21^7-1) 18952884496956715554550978627384117011154680106
(123^911-1)/(123^1-1) is not an integer with less than 100 digits.

题目来源：fps-zhblue-waterloo-010127.xml；FPS 共享题包，题包内第 4 题。保留原作者与原赛事署名。