Counting Solutions

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175 POINTS Calculate the number of solutions of the equation x*y=N! . As the answer might be very large, give your output modulo 1000007. Input The first line of input contains an integer T (1 The next T lines contain an integer N (1Output Output an integer, the answer for each test case, modulo 1000007 on a separate line. Sample Test Cases Input 1 3 Output 4 Input 2 2 500 Output 2 382728

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solution.cppC++17

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