**Algorithm #1 - Direct Sum****Objective:** Compute the sum of integers from 0 to N-1.```plaintextsum = 0for i in range(0, N): sum += iprint("sum =", sum)```**Explanation:**The algorithm initializes a variable `sum` with 0 and iterates through a loop, where it adds each integer `i` from 0 to N-1 to `sum`. Finally, it prints the total sum. This simple algorithm demonstrates a fundamental approach to aggregating a sequence of numbers.

We need to write a code in Python to find direct sum from 0 to n-1.

Answered: Algorithm #1 - Direct Sum Objective:…

Algorithm #1 - Direct Sum Objective: compute the sum of integers 0..N-1 sum = 0 for i in range(0,N): sum += i print("sum = ", sum)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Counting sort

The counting sort algorithm sorts an array’s contents by counting the repetition of each element that occurs in the array. A counting sort algorithm is a stable algorithm that works the best when the range of elements in the array is small, say for example from 0 to 9. The count which is the number of repetitions of an element in the array is mapped to an index of an auxiliary array, which is then saved in an auxiliary array. The counting sort algorithm has a stable time complexity of the order of O(size of array + size of auxiliary array). Let’s discuss the algorithm in detail as follows.

Question

**Algorithm #1 - Direct Sum**

**Objective:** Compute the sum of integers from 0 to N-1.

```plaintext
sum = 0

for i in range(0, N):
sum += i

print("sum =", sum)
```

**Explanation:**
The algorithm initializes a variable `sum` with 0 and iterates through a loop, where it adds each integer `i` from 0 to N-1 to `sum`. Finally, it prints the total sum. This simple algorithm demonstrates a fundamental approach to aggregating a sequence of numbers.

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