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Svetach [21]
3 years ago
5

Give a recursive algorithm to compute the sum of the cubes of the first n positive integers. The input to the algorithm is a pos

itive integer n. The output is ∑j=1nj3. The algorithm should be recursive, it should not compute the sum using a closed form expression or a loop.
Computers and Technology
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

def sum_cubes(n):

   if n == 1:

       return 1

   else:

       return n * n * n + sum_cubes(n-1)

print(sum_cubes(3))

Explanation:

Create a function called sum_cubes that takes one parameter, n

If n is equal to 1, return 1. Otherwise, calculate the cube of n, and add it to the sum_cubes function with parameter n-1

If we want to calculate the cubes of the first 3 numbers:

sum_cubes(3) = 3*3*3 + sum_cubes(2)

sum_cubes(2) = 2*2*2 + sum_cubes(1)

sum_cubes(1) = 1

If you substitute the values from the bottom, you get 27+8+1 = 36

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3 years ago
Write a class named Accumulator containing: An instance variable named sum of type integer. A constructor that accepts an intege
Genrish500 [490]

Answer:

The following are the code in the C++ Programming Language.

//define header file

#include <iostream>

// using namespace

using namespace std;

//define a class

class Accumulator

{

//set private access modifier

private:  

//declare integer type variable

int sum;

//set public access modifier

public:

//define constructor  

Accumulator (int sum)

{

//refer the same class as instance variable

this->sum = sum;

}

//define integer type function

int getSum()

{

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return sum;

}

//define void type function

void add (int value)

{

//variable sum is increased by the argument value

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}

};

Explanation:

<u>The following are the description of the code</u>.

  • Firstly, set the required header file and namespace then, define a class 'Accumulator' and inside the class.
  • Set private access modifier then, declare an integer data type variable 'sum'.
  • Declare a class constructor whose name is the same as the class name 'Accumulator()' and pass integer data type argument 'sum' in its parameter that refers to the same class as instance variable.
  • Define a integer data type function 'getSum()' that return the value of the variable sum.
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erastovalidia [21]

Answer:

(a)

Assuming the one-time pad P is used to XOR the message M to get ciphertext C, the following holds:

M ⊕ P = C

P = C ⊕ M

this is a basic property of how XOR works.

(b)

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then M2 = C2 ⊕ P

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The attacker can make assumptions about the message (e.g., presence of certain words and spaces) and then calculate which pad would be needed to get them in the ciphertexts. He then has two ciphertexts that should yield valid content, making it much more easy to guess the pad.

Explanation:

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