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dyGPTQuestion textWhat will be the output of the following pseudocode for a = 2, b = 6?Integer funn(Integer a, Integer b  If(a > 0)    If(b > 0)      Return a + b + funn(a + 1, 0) + funn(a + 2, 0) + funn(a + 3, 0)    End If  End If  Return a + bEnd Function funn()

Question

dyGPTQuestion textWhat will be the output of the following pseudocode for a = 2, b = 6?Integer funn(Integer a, Integer b  If(a > 0)    If(b > 0)      Return a + b + funn(a + 1, 0) + funn(a + 2, 0) + funn(a + 3, 0)    End If  End If  Return a + bEnd Function funn()

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Solution

The pseudocode provided is a recursive function. Let's break it down step by step:

  1. We start with a = 2 and b = 6. Since a > 0 and b > 0, we enter the nested if statement and the return statement becomes: return 2 + 6 + funn(2 + 1, 0) + funn(2 + 2, 0) + funn(2 + 3, 0)

  2. Now we need to evaluate the recursive calls. Let's start with funn(2 + 1, 0) which is funn(3, 0). Since b = 0, we skip the nested if statement and the return statement becomes: return 3 + 0 = 3

  3. Next, we evaluate funn(2 + 2, 0) which is funn(4, 0). Again, since b = 0, we skip the nested if statement and the return statement becomes: return 4 + 0 = 4

  4. Finally, we evaluate funn(2 + 3, 0) which is funn(5, 0). Since b = 0, we skip the nested if statement and the return statement becomes: return 5 + 0 = 5

  5. Now we can substitute these values back into our original return statement: return 2 + 6 + 3 + 4 + 5 = 20

So, the output of the pseudocode for a = 2 and b = 6 is 20.

This problem has been solved

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