C++ Exercises: Check three given integers and return true if the difference between small and medium and the difference between medium and large is same

Last update on April 07 2025 12:57:58 (UTC/GMT +8 hours)

Equal Differences for Three Integers

Write a C++ program to check three given integers (small, medium and large) and return true if the difference between small and medium and the difference between medium and large is same.

Sample Solution:

C++ Code :

#include <iostream>

using namespace std;

// Function 'test' checks if the differences between the numbers are equal
bool test(int x, int y, int z)
{
    // Checks for the condition when x is the largest number
    if (x > y && x > z && y > z)
        return x - y == y - z; // Returns true if differences are equal

    // Checks for the condition when x is the largest number, but z is the smallest
    if (x > y && x > z && z > y)
        return x - z == z - y; // Returns true if differences are equal

    // Checks for the condition when y is the largest number
    if (y > x && y > z && x > z)
        return y - x == x - z; // Returns true if differences are equal

    // Checks for the condition when y is the largest number, but z is the smallest
    if (y > x && y > z && z > x)
        return y - z == z - x; // Returns true if differences are equal

    // Checks for the condition when z is the largest number
    if (z > x && z > y && x > y)
        return z - x == x - y; // Returns true if differences are equal

    // Returns true if differences are equal (when z is the largest number and y is the smallest)
    return z - y == y - x;
}

int main() 
{
    // Testing the 'test' function with different sets of numbers
    cout << test(4, 5, 6) << endl;  
    cout << test(7, 12, 13) << endl; 
    cout << test(-1, 0, 1) << endl;
    return 0;    
}

Sample Output:

1
0
1

Visual Presentation:

Flowchart:

For more Practice: Solve these Related Problems:

• Write a C++ program to check if three integers are equally spaced, meaning the difference between the first and second equals the difference between the second and third.
• Write a C++ program that reads three numbers and returns true if the difference between the smallest and middle equals the difference between the middle and largest.
• Write a C++ program to verify whether three given integers have uniform differences between consecutive values, using subtraction operations.
• Write a C++ program that accepts three integer inputs and checks if they form an arithmetic progression by comparing consecutive differences.

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