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C Program to Check Prime Number Using Efficient Logic

  Introduction A prime number is a number that has exactly two distinct positive divisors: 1 and itself. In this program, we check whether a given number is prime or not using a simple and efficient logic. This type of program is commonly used in mathematics, competitive programming, and basic algorithm learning for beginners in C programming. Problem Statement The task is to write a C program that determines whether a given integer is a prime number or not. The program takes a single integer input from the user and analyzes its divisibility. If the number has no divisors other than 1 and itself, it should be identified as a prime number; otherwise, it is not prime. This problem is important in number theory and has practical relevance in areas such as cryptography, data validation, and algorithm design.  Algorithm / Logic Explanation To check whether a number is prime, we need to verify that it is not divisible by any number other than 1 and itself. The algorithm follows a si...

C Program to Find the Second Smallest Element In an Array Without Sorting

๐Ÿ” C Program to Find the Second Smallest Element Without Sorting

#include<stdio.h>

int main()
{
    int num, a[100];
    printf("Enter the size of the array:\n");
    scanf("%d", &num);

    if (num < 2)
    {
        printf("Invalid input! At least two elements are required to find the second smallest element.\n");
        return 1;
    }

    printf("Enter %d elements:\n", num);
    for (int i = 0; i < num; i++)
    {
        scanf("%d", &a[i]);
    }

    int first, second;

    // Initialize first and second with the first two elements
    if (a[0] < a[1])
    {
        first = a[0];
        second = a[1];
    }
    else
    {
        first = a[1];
        second = a[0];
    }

    for (int i = 2; i < num; i++)
    {
        if (a[i] < first)
        {
            second = first;
            first = a[i];
        }
        else if (a[i] < second && a[i] != first)
        {
            second = a[i];
        }
    }

    if (first == second)
    {
        printf("All elements are equal.\n");
    }
    else
    {
        printf("The second smallest element in the array is %d\n", second);
    }

    return 0;
}
  

๐Ÿ“ Explanation:

This program finds the second smallest element without sorting the array. It maintains two variables, first and second, to track the smallest and second smallest values while iterating through the array.

๐Ÿ’ก Sample Output:

Enter the size of the array:
6
Enter 6 elements:
4 2 8 5 1 3
The second smallest element in the array is 2
  

๐Ÿ” Keywords:

Second smallest number in array C, no sorting, min value tracking, C array programs, interview coding logic

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