You were late in the maths class which is taught by Geek. Now to punish you, Geek gave you a problem to solve. Given four integer numbers A, B, C, and N, Geek wants you to find f(f(..........f(a)))N times. Where f(x) = ((x/b) * c) - 1.
Output can be represented as a fraction P/Q, you have to output P*Q-1 modulo 109 + 7, where Q-1 is modular multiplicative inverse of Q modulus 109 + 7.
Input:
1. The first line of the input contains a single integerT denoting the number of test cases. The description of T test cases follows.
2. The first line of each test case contains four space-separated integers A, B, C, and N.
Output: For each test case, printthe answer.
Constraints:
1. 1 ≤ T ≤ 10 2. 1 ≤ A, B, C ≤ 109 3. 1 ≤ N ≤ 103
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Avoid using static/global variables in your code as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases does not guarantee the correctness of code.
On submission, your code is tested against multiple test cases consisting of all
possible corner cases and stress constraints.
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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