Numbers of Interest
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## Basic Programming, Mathamatics, Mathematics

Problem
Editorial
Analytics

Harold always boasted about his prowess with numbers. So one day Reese challenged him to a problem. He gave Harold two numbers X and Y and asked him to find out the Nth number of the series which began with X numbers of Y’s and the following elements are equal to the sum of the last X numbers in the series. Help Harold find the Nth number of the series.

Input:
The first line contains a number T , number of test cases.
The next T lines each contain 3 integers X, Y and N separated by single space.

Output:
For each test case print the Nth number of the sequence.

Constraints:
1<=T<=10^6
0 < N <= 50
0 < X < 50
0 <= Y< 3

Problem statement in native language : http://hck.re/F91Yaz

SAMPLE INPUT
1
3 2 7

SAMPLE OUTPUT
34

Explanation

For X=3,Y=2 the series will be as follow:
2, 2, 2, 6, 10, 18, 34

Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB

## This Problem was Asked in

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