Introduction to C++

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Problem B: Alpha-Beta numbers (20 points) Assume "Alpha numbers" are described by the following formula: where B(x) are "Beta numbers" defined as: Assume that A(0)-0 and B(0) 0. Write a recursive C++ program that lets you enter a number, then find both the Alpha and Beta numbers for that value. Example 1 (user input is underlined): Which number ? 1 A Ipha number: Beta number: Example 1 (user input is underlined): Which number? Alpha number 2313442 Beta number