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Geek created a random series and given a name geek-onacci series. Given four integers **A, B, C, N**. A, B, C represents the first three numbers of geek-onacci series. Find the Nth number of the series. The nth number of geek-onacci series is a sum of the last three numbers (summation of N-1th, N-2th, and N-3th geek-onacci numbers)

**Note:** The answer can be very large. So, output answer modulo 10^{9} + 7.

**Input: **

1. The first line of the input contains a single integer* * **T** denoting the number of test cases. The description of **T** test cases follows.

2. The first line of each test case contains four space-separated integers **A, B, C, **and** N.**

**Output:** For each test case, print **Nth **geek-onacci number

**Constraints:**

1. 1 <= T <= 10^{2}

2. 1 <= A, B, C <= 10^{5}

3. 4 <= N <= 10^{4}

**Example:
Input:**

3

1 3 2 4

1 3 2 5

1 3 2 6

**Output:**

6

11

19

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