SOLVE

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Find the term

Problem

Editorial

Analytics

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:**

**\(1 \leq T \leq 10^5\)**

**\(1 \leq N \leq 2 \times 10^9\)**

**\(|K_1| \leq 10^9\)**

**\(|K_2| \leq 10^9\)**

Explanation

In Test case 1:

**\(K_3 = K_1 - K_2 = 4 - 2 = 2\)**

Time Limit:
1.0 sec(s)
for each input file.

Memory Limit:
256 MB

Source Limit:
1024 KB

Marking Scheme:
Marks are awarded when all the testcases pass.

Allowed Languages:
Bash,
C,
C++,
C++14,
Clojure,
C#,
D,
Erlang,
F#,
Go,
Groovy,
Haskell,
Java,
Java 8,
JavaScript(Rhino),
JavaScript(Node.js),
Julia,
Kotlin,
Lisp,
Lisp (SBCL),
Lua,
Objective-C,
OCaml,
Octave,
Pascal,
Perl,
PHP,
Python,
Python 3,
R(RScript),
Racket,
Ruby,
Rust,
Scala,
Swift,
Swift-4.1,
Visual Basic

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