SOLVE
LATER
Given three numbers x,k and m, you need to find the value of \(x^{x^{x^{.^{.^{.^x}}}}}\)%m where number of x's in the expression are k. That is, if x=5,k=3 and m=3, then you need to compute \(5^{5^5}\)%3.
Constraints:
\(1 \le T \le 10^5\)
\(1 \le m \le 10^7\)
\(1 \le k \le 10^{18}\)
\(m < x \le 10^8\) x is always a prime number
Format of the input file:
First line : T i.e number of testcases.
For each testcase :
First line : Three space separated integers x , k and m.
Format of the output file:
Print the answer for each test case in a separate line
Case 1: 5 % 3=2
Case 2: \(5^5\) % 3=3125 % 3= 2