Given a permutation arrays A[] consisting of N numbers in range [1, N], the task is to left rotate all the even numbers and right rotate all the odd numbers of the permutation and print the updated permutation.
Note: N is always even.
Examples:
Input: A = {1, 2, 3, 4, 5, 6, 7, 8}
Output: {7, 4, 1, 6, 3, 8, 5, 2}
Explanation:
Even element = {2, 4, 6, 8}
Odd element = {1, 3, 5, 7}
Left rotate of even number = {4, 6, 8, 2}
Right rotate of odd number = {7, 1, 3, 5}
Combining Both odd and even number alternatively.
Input: A = {1, 2, 3, 4, 5, 6}
Output: {5, 4, 1, 6, 3, 2}
Approach:
- It is clear that the odd elements are always on even index and even elements are always laying on odd index.
- To do left rotation of even number we choose only odd indices.
- To do right rotation of odd number we choose only even indices.
- Print the updated array.
Below is the implementation of the above approach:
<script> // Javascript program to implement
// the above approach
// function to left rotate
function left_rotate(arr)
{
let last = arr[1];
for (let i = 3; i < 6; i = i + 2)
{
arr[i - 2] = arr[i];
}
arr[6 - 1] = last;
}
// function to right rotate
function right_rotate(arr)
{
let start = arr[6 - 2];
for (let i = 6- 4; i >= 0; i = i - 2)
{
arr[i + 2] = arr[i];
}
arr[0] = start;
}
// Function to rotate the array
function rotate(arr)
{
left_rotate(arr);
right_rotate(arr);
for (let i = 0; i < 6; i++)
{
document.write(arr[i] + " " );
}
}
let arr = [ 1, 2, 3, 4, 5, 6 ];
rotate(arr);
</script> |
5 4 1 6 3 2
Time Complexity: O(N)
Auxiliary Space: O(1)
Please refer complete article on Rotate all odd numbers right and all even numbers left in an Array of 1 to N for more details!