Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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- Consider a recursive function, called f, that computes powers of 3 using only the + operator. Assume n > = 0. int f(int n) { if (n == 0) return 1; return f(n-1) + f(n-1) + f(n-1); } Give an optimized version of f, called g, where we save the result of the recursive call to a temporary variable t, then return t+t+t. i got int g(int n) { if (n == 0) return 1; int t = g(n - 1); return t+t+t; } so now Write a recurrence relation for T(n), the number addition operations performed by g(n) in terms of n.arrow_forwardCan someone explain how the output of this recusrsive function is 5? I find recursion difficult to understand def R(n): if n<=0: return 20 return R(n-1)-n print(R(5))arrow_forward//write a recursion function that will find the largest interger in the string. Can you give me some feedback on this function public int findMax(String s,intmax) { if (s.length()== 0) return 1; for (int = 0 ; i > s.length() ;i++) if (s.charAt (i) > s.charAt(i) )) returnmax; returnmax;arrow_forward
- I need help with thisarrow_forwardWrite a recursive Python function named pgcd, to find and return the Greatest Common Divisor (GCD) of two numbers x and y passed in parameters. • Test it gcd (1234,4321) gcd (8192,192)arrow_forwardUsing recursion, write a function sum that takes a single argument n and computes the sum of all integers between 0 and n inclusive. Do not write this function using a while or for loop. Assume n is non-negative. def sum(n): """Using recursion, computes the sum of all integers between 1 and n, inclusive. Assume n is positive. >>> sum(1) 1 >>> sum(5) # 1 + 2 + 3+ 4+ 5 15 "*** YOUR CODE HERE ***"arrow_forward
- Which is the base case for the following recursive function? void printOut( int n ) // Print nonnegative n { if( n >= 10 ) printOut( n / 10 ); printDigit( n % 10 ); } Group of answer choices A.if ( n >= 10 ) B.printOut( n/10 ); C.printDigit( n%10 ); D.if ( n >= 10) E.None of the abovearrow_forwardWhich of the following is the recursive definition for the function f(n)=2n with initial condition f(1) = 2? f(n) = 2n + f(n-1) f(n) = 2n - f(n-1) f(n) = 2n * f(n-1) f(n) = 2f(n − 1) Which of the following is the recursive definition for the function f(n)=5n+2 with initial condition f(1)=7? f(n) = 5n - f(n-1) f(n) = 5f(n-1) + 2 f(n) = 5n + f(n-1) f(n) = f(n-1) + 5arrow_forwardWhat does the following recursive function do? int f(int n){ if (n==1) return 1; else returm n*f(n-1); } O sum of numbers from 1 to n Factorial of numbern Square of numbers from 1 to n Print the numbers from 1 to narrow_forward
- 1. Consider the following recursive function: def foo(n): if (n == 0): return 0 return n + foo(n - 1)a. What is foo(5) b. What is foo(10) c. Suppose that n + foo(n - 1) is changed to n * foo(n - 1). What is foo(5) now? d. What happens if foo(-1) is called?arrow_forwardq16arrow_forwardhi,it is wrong agai n fib(n) 2 1 2 1 2 1 2 1 2 1Number of recursive calls: 5 but have to:arrow_forward
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