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 109 + 7.
Input:
1. The first line of the input contains a single integerT 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 <= 102 2. 1 <= A, B, C <= 105
3. 4 <= N <= 104
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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