The \( n^{th}\) term of a mathematical series is described as follows:
\( K_{n} = K_{n-1} - K_{n+1}\)
You have to find the \(m^{th}\) term, given the first two terms \(K_{1}\) and \(K_{2}\) of the series.
Input format:
The first line contains T, which denotes the number of test cases, after which T test cases follow.
Each test case is made up of two lines. The first line contains \(K_{1}\) and \(K_{2}\), the first two terms of the series. The second line contains m, for which \(K_{m}\) has to be calculated.
Output format:
T lines each containing the value of \(K_{m}\) for the corresponding test case. Since the value of \(K_{m}\) can be large, print the value modulo \(10^9 +7\).
Input constraints:
\(1 \leq T \leq 10^5\)
\(1 \leq N \leq 2 \times 10^9\)
\(|K_1| \leq 10^9\)
\(|K_2| \leq 10^9\)