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