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Remove elements to make array sorted
  • Difficulty Level : Easy
  • Last Updated : 16 Apr, 2020

Given an array of integers, the task is to remove elements from the array to make array sorted. That is, remove the elements which do not follow an increasing order.

Examples:

Input: arr[] = {1, 2, 4, 3, 5, 7, 8, 6, 9, 10}
Output: 1 2 4 5 7 8 9 10

Input: arr[] = {10, 12, 9, 5, 2, 13, 14}
Output: 10 12 13 14

Approach: Traverse the given array and for every element which is greater than or equal to the previously taken element, add this element to another array else skip to next element. In the end, the newly created array will be sorted according to Stalin sort.



  1. For each element check if the element is greater than the previous element or not.
    • If yes then check for next element.
    • Else remove that element.
  2. After all the elements have been traversed, we will get a sorted array.

Below is the implementation of the above approach:

C++




// C++ implementation of the approach
  
#include <bits/stdc++.h>
using namespace std;
  
// Function to sort the array
// by removing misplaced elements
void removeElements(int arr[], int n)
{
  
    // brr[] is used to store
    // the sorted array elements
    int brr[n], l = 1;
  
    brr[0] = arr[0];
    for (int i = 1; i < n; i++) {
        if (brr[l - 1] <= arr[i]) {
            brr[l] = arr[i];
            l++;
        }
    }
  
    // Print the sorted array
    for (int i = 0; i < l; i++)
        cout << brr[i] << " ";
}
  
// Driver code
int main()
{
    int arr[] = { 10, 12, 9, 10, 2, 13, 14 };
    int n = sizeof(arr) / sizeof(arr[0]);
    removeElements(arr, n);
  
    return 0;
}


Java




// Java implementation of the approach
  
class GFG
{
      
// Function to sort the array
// by removing misplaced elements
static void removeElements(int []arr, int n)
{
  
    // brr[] is used to store
    // the sorted array elements
    int []brr = new int[n];
    int l = 1;
  
    brr[0] = arr[0];
    for (int i = 1; i < n; i++)
    {
        if (brr[l - 1] <= arr[i]) 
        {
            brr[l] = arr[i];
            l++;
        }
    }
  
    // Print the sorted array
    for (int i = 0; i < l; i++)
        System.out.print(brr[i] + " ");
}
  
// Driver code
static public void main (String[] args)
{
    int []arr = { 10, 12, 9, 10, 2, 13, 14 };
    int n = arr.length;
    removeElements(arr, n);
}
}
  
// This code is contributed by Code_Mech.


Python3




# Python3 implementation of the approach 
  
# Function to sort the array 
# by removing misplaced elements 
def removeElements(arr,  n) : 
  
    # brr[] is used to store 
    # the sorted array elements 
    brr = [0]*n; l = 1
  
    brr[0] = arr[0]; 
    for i in range(1,n) :
        if (brr[l - 1] <= arr[i]) :
            brr[l] = arr[i]; 
            l += 1
  
    # Print the sorted array 
    for i in range(l) :
        print(brr[i],end=" "); 
  
  
# Driver code 
if __name__ == "__main__"
  
    arr = [ 10, 12, 9, 10, 2, 13, 14 ]; 
    n = len(arr); 
    removeElements(arr, n); 
  
    # This code is contributed by AnkitRai01


C#




// C# implementation of the approach
using System;
  
class GFG
{
      
// Function to sort the array
// by removing misplaced elements
static void removeElements(int []arr, int n)
{
  
    // brr[] is used to store
    // the sorted array elements
    int []brr = new int[n];
    int l = 1;
  
    brr[0] = arr[0];
    for (int i = 1; i < n; i++)
    {
        if (brr[l - 1] <= arr[i]) 
        {
            brr[l] = arr[i];
            l++;
        }
    }
  
    // Print the sorted array
    for (int i = 0; i < l; i++)
        Console.Write(brr[i] + " ");
}
  
// Driver code
static public void Main ()
{
    int []arr = { 10, 12, 9, 10, 2, 13, 14 };
    int n = arr.Length;
    removeElements(arr, n);
}
}
  
// This code is contributed by jit_t


Output:

10 12 13 14

Method 2: Instead of using extra array, store them in the same array




// C++ implementation of the approach
  
#include <bits/stdc++.h>
using namespace std;
  
// Function to sort the array
// by removing misplaced elements
void removeElements(int arr[], int n)
{
  
    // l stores the index
    int l = 1;
    for (int i = 1; i < n; i++) {
        if (arr[l - 1] <= arr[i]) {
            arr[l] = arr[i];
            l++;
        }
    }
  
    // Print the sorted array
    for (int i = 0; i < l; i++)
        cout << arr[i] << " ";
}
  
// Driver code
int main()
{
    int arr[] = { 10, 12, 9, 10, 2, 13, 14 };
    int n = sizeof(arr) / sizeof(arr[0]);
    removeElements(arr, n);
  
    return 0;
}


Output:

10 12 13 14

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