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What 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

What 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, which means it calls itself within its own definition. Here's how it works:

  1. The function funn is called with a = 2 and b = 6.
  2. Since a > 0 and b > 0, it enters the nested if condition.
  3. It then returns a + b + funn(a + 1, 0) + funn(a + 2, 0) + funn(a + 3, 0).
  4. The recursive calls funn(a + 1, 0), funn(a + 2, 0), and funn(a + 3, 0) are all with b = 0, so they will not enter the nested if condition. Instead, they will each return a + b, where b = 0.
  5. So, funn(a + 1, 0) = a + 1 + 0 = 3, funn(a + 2, 0) = a + 2 + 0 = 4, and funn(a + 3, 0) = a + 3 + 0 = 5.
  6. Substituting these values back into the original return statement, we get a + b + 3 + 4 + 5 = 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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