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Given the following recursive function: public static int recur(int num) { if (n

ID: 2246860 • Letter: G

Question

Given the following recursive function: public static int recur(int num) { if (num > 100) return num: else return recur((num * 2) + 3): } If the first call from within the main method is: int result = recur(4): What value will be passed as the num argument on the third call to recur (given that the call from within main is the first call)? ________. Using the recur function definition and call from the previous question, how many times will the recur function be recursively called before returning a result to the main method?

Explanation / Answer

Question 22 :]

( Given that the call from the main is first call )

First Call - num value 4 will be passed which is provided from main function call

Second Call - 4 is not greater then 100 . Hence if condition will failed and else will be executed according to which ((4 * 2) + 3 ) or 11 will be passed as num value

Third Call - 11 is not greater then 100 . Hence if condition will failed and else will be executed according to which ((11 * 2) + 3 ) or 25 will be passed as num value

So answer is 25

Question 23 :]

NOTE : 1 - In this question call from main will not be included in recursive function call counting (bcoz it's given)

2 - Recursion will terminate / return only when if statement become true or we can say num > 100

when function called num = 4

if ( 4 > 100) is false hence else condition will not execute else part will execute which is recursive call to recur

CALL 1 : num = ( (4 * 2) + 3 ) = 11

CALL 2 : num = ((11 * 2) + 3 ) = 25

CALL 3 : num = ((25 * 2) + 3 ) = 53

CALL 4 : num = ((53 * 2) + 3 ) = 109

Now since num = 109 > 100 is true hence if statement will execute and if statement is returning current value of num hence recursive function call will halt.

So ans = 4

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