C Program to Find and Display duplicate Elements in an array.

Problem Statement: Given an array of integers. Your task is to write a C program to find and display the duplicate elements present in the array.

Example:

Input: arr[] = {3, 2, 4, 2, 7, 8, 4, 1, 8}
Output: Duplicate numbers: 2 4 8

Input: arr[] = {1, 4, 1, 3, 2}
Output: Duplicate numbers: 1

Algorithm to Find Duplicate Elements.

Below are the steps that you need to follow:

Step 1: Traverse through the array one element at a time.
Step 2: For each element, check if it appears again later in the array.
Step 3: If the element is found later in the array and is not already marked as a duplicate, mark it as a duplicate and print it.
Step 4: Continue this process for each element.

Below is the C program implementation to find and display duplicate numbers from the given array.

C code:
//C program to find duplicate number from the given array
#include <stdio.h>

int main() {
    int arr[] = {3, 2, 4, 2, 7, 8, 4, 1, 8};
    int size = sizeof(arr) / sizeof(arr[0]);

    printf("Duplicate elements: ");
    //traverse to find duplicate
    for (int i = 0; i < size; i++) {
        for (int j = i + 1; j < size; j++) {
            if (arr[i] == arr[j]) {
                printf("%d ", arr[i]);
                break;
            }
        }
    }

    printf("\n");
    return 0;
}
Output:
Duplicate elements: 2 4 8 

Time Complexity: The time complexity of this algorithm is O(n^2) in the worst case, where n is the number of elements in the array. 

Space Complexity: The space complexity of this algorithm is O(1) as it uses a constant amount of extra space to store the loop variables and other variables.

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