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Problem 1344 Division

Accept: 57    Submit: 232
Time Limit: 1000 mSec    Memory Limit : 32768 KB

Problem Description

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.

Sample Input

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

Sample Output

(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.

Source

Waterloo 010127

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