Array obtained by repeatedly reversing array after every insertion from given array

Given an array arr[], the task is to print the array obtained by inserting elements of arr[] one by one into an initially empty array, say arr1[], and reversing the array arr1[] after every insertion.

Examples:

Input: arr[] = {1, 2, 3, 4}
Output: 4 2 1 3
Explanation:
Operations performed on the array arr1[] as follows:
Step 1: Append 1 into the array and reverse it. arr1[] = {1}
Step 2: Append 2 into the array and reverse it. arr1[] = {2, 1}
Step 3: Append 3 into the array and reverse it. arr1[] = {3, 1, 2}
Step 3: Append 4 into the array and reverse it. arr1[] = {4, 2, 1, 3}

Input: arr[]  = {1, 2, 3}
Output: 3 1 2
Explanation:
Operations performed on the array arr1[] as follows:
Step 1: Append 1 into the array and reverse it. arr1[] = {1}
Step 2: Append 2 into the array and reverse it. arr1[] = {2, 1}
Step 3: Append 3 into the array and reverse it. arr1[] = {3, 1, 2}

 

Naive Approach: The simplest approach to solve the problem is to iterate over the array arr[] and insert each element of arr[] one by one into the array arr1[] and reverse the array arr1[] after each insertion. 



Time Complexity: O(N2)
Auxiliary Space: O(1)

Efficient Approach: To optimize the above approach, the idea is to use the Doubly Ended Queue (Deque) to append the elements at both ends. Follow the steps below to solve the problem:

Below is the implementation of the above approach:

C++

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// C++ program of the above approach
 
#include <bits/stdc++.h>
using namespace std;
 
// Function to generate the array by
// inserting array elements one by one
// followed by reversing the array
void generateArray(int arr[], int n)
{
 
    // Doubly ended Queue
    deque<int> ans;
 
    // Iterate over the array
    for (int i = 0; i < n; i++) {
 
        // Push array elements
        // alternately to the front
        // and back
        if (i & 1)
            ans.push_front(arr[i]);
        else
            ans.push_back(arr[i]);
    }
 
    // If size of list is odd
    if (n & 1) {
 
        // Reverse the list
        reverse(ans.begin(),
                ans.end());
    }
 
    // Print the elements
    // of the array
    for (auto x : ans) {
        cout << x << " ";
    }
    cout << endl;
}
 
// Driver Code
int32_t main()
{
    int n = 4;
    int arr[n] = { 1, 2, 3, 4 };
    generateArray(arr, n);
    return 0;
}

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Java

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// Java program of the above approach
import java.io.*;
import java.util.*;
 
class GFG{
     
// Function to generate the array by
// inserting array elements one by one
// followed by reversing the array
static void generateArray(int arr[], int n)
{
     
    // Doubly ended Queue
    Deque<Integer> ans = new LinkedList<>();
  
    // Iterate over the array
    for(int i = 0; i < n; i++)
    {
         
        // Push array elements
        // alternately to the front
        // and back
        if ((i & 1) != 0)
            ans.addFirst(arr[i]);
        else
            ans.add(arr[i]);
    }
  
    // If size of list is odd
    if ((n & 1) != 0)
    {
         
        // Reverse the list
        Collections.reverse(Arrays.asList(ans));
    }
  
    // Print the elements
    // of the array
    for(int x : ans)
    {
        System.out.print(x + " ");
    }
    System.out.println();
}
  
// Driver Code
public static void main (String[] args)
{
    int n = 4;
    int arr[] = { 1, 2, 3, 4 };
     
    generateArray(arr, n);
}
}
 
// This code is contributed by code_hunt

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Python3

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# Python3 program of the above approach
from collections import deque
 
# Function to generate the array by
# inserting array elements one by one
# followed by reversing the array
def generateArray(arr, n):
  
    # Doubly ended Queue
    ans = deque()
  
    # Iterate over the array
    for i in range(n):
  
        # Push array elements
        # alternately to the front
        # and back
        if (i & 1 != 0):
            ans.appendleft(arr[i])
        else:
            ans.append(arr[i])
     
    # If size of list is odd
    if (n & 1 != 0):
  
        # Reverse the list
        ans.reverse()
     
    # Print the elements
    # of the array
    for x in ans:
        print(x, end = " ")
     
    print()
 
# Driver Code
n = 4
arr = [ 1, 2, 3, 4 ]
 
generateArray(arr, n)
 
# This code is contributed by code_hunt

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C#

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// C# program of
// the above approach
using System;
using System.Collections.Generic;
class GFG{
     
// Function to generate the array
// by inserting array elements
// one by one followed by
// reversing the array
static void generateArray(int []arr,
                          int n)
{   
  // Doubly ended Queue
  List<int> ans = new List<int>();
 
  // Iterate over the array
  for(int i = 0; i < n; i++)
  {
    // Push array elements
    // alternately to the front
    // and back
    if ((i & 1) != 0)
      ans.Insert(0, arr[i]);
    else
      ans.Add(arr[i]);
  }
 
  // If size of list is odd
  if ((n & 1) != 0)
  {
    // Reverse the list
    ans.Reverse();
  }
 
  // Print the elements
  // of the array
  foreach(int x in ans)
  {
    Console.Write(x + " ");
  }
  Console.WriteLine();
}
  
// Driver Code
public static void Main(String[] args)
{
  int n = 4;
  int []arr = {1, 2, 3, 4};
  generateArray(arr, n);
}
}
 
// This code is contributed by 29AjayKumar

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Output: 

4 2 1 3





 

Time Complexity: O(N)
Auxiliary Space: O(N)

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Improved By : code_hunt, 29AjayKumar