T(n) = 9T(n/3) + O(n2)
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T(n) = 9T(n/3) + O(n2)
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- Example: Enter an integer = 75 Smallest divisor is = 3Analyze the time complexity of the code segment and find their Big-O. int myfunction4 (int n, int m) { if (n < 10) return n; else if (n < 100) return myfunction4(n - 2, m); else return myfunction4(n/2, m); }Write an algorithm that asks the user to enter a positive integer n and prints the sum of the divisors of n.
- A number of the form a + ib, in which i2 = -1 and a and b are real numbers, is called a complex number. We call the real part and b the imaginary part of a + ib. Complex numbers can also be represented as ordered pairs (a, b). The addition and multiplication of complex numbers are defined by the following rules: (a + ib) + (c + id) = (a + c) + i(b + d ) (a + ib) * (c + id) = (ac - bd) + i(ad + bc) Using the ordered pair notation, these rules are written as: (a, b) + (c, d) = ((a + c), (b + d )) (a, b) * (c, d) = ((ac - bd ), (ad + bc)) C++ has no built-in data type that allows us to manipulate complex numbers. Construct a data type, complex Type, that can be used to process complex numbers. Overload the stream insertion and stream extraction operators for easy input and output. We will also overload the operators + and * to perform addition and multiplication of complex numbers. If x and y are complex numbers, we can evaluate expressions such as x + y and x * y.What is the step count of the pseudocode below: for i=-n to n do s = s + i if ( i % 2 == 0) then p = p * (i-1) else p = p * (i-1) s = 0 endif p = p * i endfora program that prints 10x10 multiplication table using while (not nested) loop in java
- In c language Consider this array unsigned int data [ ] = { 0xA3A4A5A6, 0x12131415 } write a for loop to print the array values in this order 0x1415 0x1213 0xA5A6 0xA3A42. Design an algorithm for computing n! (where n is any positive integer).Choose any number as n, output all n-digit binary numbers which have equal total in right and left halves. Mid element can either be 1 or 0 IF n is odd.1.Explain where does the recursion happened?2.Solve using the programming languages and test. using java jdp
- An operation ∗ on the set of positive integers is defined by a ∗ b = (a + b) a−b . Evaluate 1024 ∗ (512 ∗ (256 ∗ (128 ∗ (64 ∗ (32 ∗ (16 ∗ (8 ∗ (4 ∗ (2 ∗ 1). a. 2028 b. 2048 c. 2047 d. 2027complete the following pseudo coded algorithm for computing the factorial of n if n equals 0 n! is 1. else n! = ______. a) n*(n-1) b) n*(n+1) c) (n-1)! d) n*(n-1)!Convert/Evaluate the following expressions into postfix and prefix using stack. P = (A + B) * C - (D - E) * (F + G) / H Q = (300 + 23) * (43 - 21) / (84 + 7) R = 3 * (2 + 4) * (5 + 7)