SUMOFPOW - Another Mathematical Problem

Little Johny suddenly found a great amusement towards numbers. Blame his crush over his maths teacher or anything, it didnt really bother him. One day his teacher gave him a task for finding the solution for ( (P^N) + (Q^N) ) {P power N + Q power N} given P, Q and N. Given Johny's intense crush he solved it very quickly. Seeing this his teacher asked him to calculate ( (P^N) + (Q^N) ) but this time she gave P+Q and P*Q instead of P and Q. Johny set to work and then he understood the difficulty of this problem. Guess what? . It is the same story he asks you for help.

Input :
first line will contain an integer T (<=15) denoting the number of test cases
three integers p+q, p*q and n will be given for each test case in a seperate line
for every test case output the corresponding
output (p^n)+(q^n) in a seperate line

limits : 0<= N <=15, P+Q and P*Q will be in the (-15,15) inclusively.
Note : P, Q, N would be chosen in such a way that the answer fits in a 64 bit signed integer


Input :


6 9 11

6 7 10

1 2 3

-5 6 10

2 -4 9



Added by:Ranjith Mudalaiyar
Time limit:0.100s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64

hide comments
2012-05-26 18:37:25 rohitjv
2012-05-26 18:21:44 Ranjith Mudalaiyar
if p and q are real youll loose percision while powering
2012-05-26 17:13:27 Ranjith Mudalaiyar
outputs for all the input are correct.Those of you who submitted their solutions make sure your program is giving correct answer for the sample test cases

Last edit: 2012-05-26 18:02:00
2012-05-26 17:11:17 Jyotishman

Last edit: 2012-05-26 17:11:55
2012-05-26 16:57:58 Ranjith Mudalaiyar
@ nit coder :the answer is my previous comment
2012-05-26 16:54:55 Ranjith Mudalaiyar
P and Q can be irrational or complex also . There is lot of time left so think and come up with the logic
2012-05-26 16:53:56 lets_begin
i think ans of 6 7 10 is wrong
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