1. a) Given a recursive algorithm as below: int F(int n) { if (n <= 1) return 1; else if (n % 2 == 0) return F(n-1) +n; else return F(n/2) - 1; } Illustrate how you will find out the value of F(10) using the above algorithm. You need to show all the steps. b) Given a function as below: int recFx(int a, int b) { If (a
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To find F(10)
10%2==0, so it is F(9)+10
This will be F(4)-1+10
This will be F(3)+4-1+10
This will be F(1)-1+4-1+10
This will be 1-1+4-1+10
Hence, F(10)=13
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- Write the definition of a recursive function int simpleSqrt(int n) The function returns the integer square root of n, meaning the biggest integer whose square is less than or equal to n. You may assume that the function is always called with a nonnegative value for n. Use the following algorithm: If n is 0 then return 0. Otherwise, call the function recursively with n-1 as the argument to get a number t. Check whether or not t+1 squared is strictly greater than n. Based on that test, return the correct result. For example, a call to simpleSqrt(8) would recursively call simpleSqrt(7) and get back 2 as the answer. Then we would square (2+1) = 3 to get 9. Since 9 is bigger than 8, we know that 3 is too big, so return 2 in this case. On the other hand a call to simpleSqrt(9) would recursively call simpleSqrt(8) and get back 2 as the answer. Again we would square (2+1) = 3 to get back 9. So 3 is the correct return value in this case.1. Given the following function: int Fn (int N) { } if (N == 0) return 2; else return N + Fn (N/3); a) What type of function is this, Iterative or Recursive? Give justification. b) Given N = 17, what will be the output from this function? Show your work.Consider the recursive procedure which computes the nth Fibonacci number is the one below. procedure Fl (n) //a function which returns the nth Fibonacci number.// if n < 2 then return(n) else return (F2(2,n,1,1)) endif end Fl procedure F2(i,n,x,y) if i
- Write a recursive function that finds n-th power of number m. Ex:m=3 n=4 Ans=81 WRITE IN PYTHON PLEASEWrite a recursive function F(N) that generalízes the following function: NF(N) 1 2 10 19 4 37 5 70 (Hìnt: F(N) computes the output differently for odd and even values of N! Think about the base case first, then think about what would be the recursive case for the odd value of N and what would be the recursive case for an even value of N!) For example: Test Result print(F(0)) 1 Answer: (penalty regime: 0, 0, 0, 0, 0, 5, 10, 15, 20, .. %)Write a recursive function to compute the following series: m(i) = 1 + 1/2 + 1/3 + . . . + 1/i Write a test program that displays m(i) for i 1, 2, ..., 10.
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