Overview

This C++ program checks if a given number can be represented as the sum of consecutive positive integers starting from 1. If the number is a special number (i.e., it can be expressed as such a sum), the program will output a sequence of additions that equal the number. If not, it will indicate that the number is not special.

How It Works

Input: The program prompts the user to enter an integer. Processing: The calSpecial function recursively calculates whether the given number can be represented as a sum of consecutive integers starting from 1. Output: If the number can be expressed as such a sum, it prints "Special number" followed by the sequence of additions. If the number cannot be expressed as such a sum, it prints "Not a special number."

Functions

void calSpecial(int val, int &counter, int &sum)

Parameters: val (int): The number to be checked. counter (int&): Keeps track of the current integer being added. sum (int&): Keeps track of the cumulative sum of integers. Description: Checks if the current sum equals the given number. If so, prints the sequence. If the sum exceeds the number, indicates that it is not a special number. Uses recursion to add consecutive integers and update the sum.

int main()

Description: Prompts the user for input. Initializes variables and calls calSpecial to perform the calculation.

Example

Enter Number= 15 Special number 1 + 2 + 3 + 4 + 5 In this example, 15 is a special number because it can be represented as the sum of the first five consecutive positive integers (1 + 2 + 3 + 4 + 5).

Notes

The program uses recursion to determine if the number can be represented as a sum of consecutive integers. If the input number is less than 1, the output will be "Not a special number" as the sum of positive integers starting from 1 cannot be negative or zero.