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    C++ program to print the left Rotation of the array
    
    
    
    
        Left rotation of the array using C++ program: Here, we are going to learn how to print the array elements after left rotation?
        
            Submitted by Vivek Kothari, on February 13, 2019
        
    
    Problem statement:
    Given an array of N elements and the task is to print the elements of an array after left rotating array elements by d positions.
    Input: N, d and next line containing the n elements of array.
    Output: Array elements after d rotation.
Example:
    Input:
    n = 7, d = 2
    array elements: 1 2 3 4 5 6 7
    Output: 
    3 4 5 6 7 1 2
    Solution:
    The naïve approach to solve this problem is to shift the all elements d times but this is a time-consuming process.
    We can use a small trick here to print the elements of the array after left rotating d elements.
    Let,
    i = ith iteration
    D = number of elements to rotate
    N = size of array
    Then to left rotate array we can use -
    arr[i] = arr[(i+D)%N]
C++ Implementation:
#include <iostream>
using namespace std;
int main()
{
	int n,d;
	//input value of n and d
	cout<<"Enter the value of n and d"<<endl;
	cin>>n>>d;
	int a[n];
	//input array elements
	cout<<"enter the array elements : ";
	for(int i=0;i<n;i++)
	{
		cin>>a[i];
	}
	//print the elements of array after rotation
	cout<<"array elements after rotation : ";
	for(int i=0;i<n;i++)
	{
		cout<<a[(i+d)%n]<<" ";
	}
	return 0;
}
Output
Enter the value of n and d
7 3
enter the array elements : 1 2 3 4 5 6 7
array elements after rotation : 4 5 6 7 1 2 3
    
	
	
    
    
  
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