Given a fence with n posts and k colors, find out the number of ways of painting the fence such that at most 2 adjacent posts have the same color. Since answer can be large return it modulo 10^9 + 7.
The first line of input contains an integer T denoting the number of test cases. Each test case contains two integers n and k.
Print an integer which denoted the number of ways in which the fence can be painted.(modulo 109 + 7)
For the second test case we have following possible combinations:
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