In this article, we are going to reverse a sub-array of a given size. We will be provided with an array and a random size for the sub-array to be reversed. There exist different variations of this problem.
These are the following variations of reversing the array in groups of a given size:
Reverse the alternate groups
In this variation of reversing the array, we will reverse the alternate sub-array of the given number of elements. It means the sub-arrays of the given size will be reversed from start and end, while the middle elements will remain at the same positions.
Example:
Input: arr = [1, 2, 3, 4, 5, 6], k=3
Output: [3, 2, 1, 6, 5, 4]
Input: arr = [1, 2, 3, 4, 5], k=2
Output: [2, 1, 3, 5, 4]
Example: The below example will explain the practical implementation of this variation in JavaScript:
Javascript
function groupReverse(arr, n, k) {
let leftStart = 0, leftEnd = k - 1;
let rightStart = n - k, rightEnd = n - 1;
while (leftStart < leftEnd) {
let temp = arr[leftStart];
arr[leftStart] = arr[leftEnd];
arr[leftEnd] = temp;
leftStart++; leftEnd--;
}
while (rightStart < rightEnd) {
let temp = arr[rightStart];
arr[rightStart] = arr[rightEnd];
arr[rightEnd] = temp;
rightStart++; rightEnd--;
}
console.log(arr);
}
let array = [1, 2, 3, 4, 5];
let array2 = [1, 2, 3, 4, 5, 6, 7, 8, 9];
groupReverse(array, 5, 3);
groupReverse(array2, 9, 3);
|
Output
[ 3, 2, 5, 4, 1 ]
[
3, 2, 1, 4, 5,
6, 9, 8, 7
]
Time Complexity: O(k), k is the size of the sub-array
Space Complexity: O(1)
Reverse at a given distance
In this variation, we will be provided with two integer type variables k and m. Where, k will be the size of the sub-array and m will be the distance between the sub-arrays. Hence, we have to reverse the sub-arrays of size k after a distance of m elements between them.
Example:
Input: arr = [1, 2, 3, 4, 5, 6], k = 2, m = 2
Output: [2, 1, 3, 4, 6, 5]
Input: arr = [1, 2, 3, 4, 5, 6, 7, 8, 9], k = 3, m = 3
Output:
[3, 2, 1, 4, 5, 6, 9, 8, 7]
Example: The below example will explain you the practical implementation in JavaScript.
Javascript
function groupReverse(arr, n, k, m) {
let i = 0;
while (i < n) {
let leftStart = i;
let leftEnd = Math.min(i + k - 1,
n - 1);
while (leftStart < leftEnd) {
let temp = arr[leftStart];
arr[leftStart] = arr[leftEnd];
arr[leftEnd] = temp;
leftStart++; leftEnd--;
}
i += k + m;
}
console.log(arr);
}
let array = [1, 2, 3, 4, 5, 6];
let array2 = [1, 2, 3, 4, 5,
6, 7, 8];
groupReverse(array, 6, 2, 2);
groupReverse(array2, 8, 2, 4);
|
Output
[ 2, 1, 3, 4, 6, 5 ]
[
2, 1, 3, 4,
5, 6, 8, 7
]
Time Complexity: O(n), n is the size of array.
Space Complexity: O(1)
Reverse by doubling the group size
In this variation, the size of the sub-array will be doubled everytime and the sub-array of the new size will be reversed.
Example:
Input: arr = [1, 2, 3, 4, 5, 6, 7], k = 1
Output: [ [1], [3, 2], [7, 6, 5, 4] ]
Input:
arr = [1, 2, 3, 4, 5, 6], k = 2
Output: [ [2, 1], [6, 5, 4, 3] ]
Example: Below example will illustrate the implementation of this variation in JavaScript.
Javascript
function groupReverse(arr, n, k) {
let i = 0;
while (i < n) {
let leftStart = i;
let leftEnd = Math.min(i + k - 1,
n - 1);
while (leftStart < leftEnd) {
let temp = arr[leftStart];
arr[leftStart] = arr[leftEnd];
arr[leftEnd] = temp;
leftStart++; leftEnd--;
}
k *= 2;
i += k / 2;
}
console.log(arr);
}
let array = [1, 2, 3, 4, 5, 6];
let array2 = [1, 2, 3, 4, 5, 6, 7,
8, 9, 10, 11, 12, 13, 14];
groupReverse(array, 6, 2);
groupReverse(array2, 14, 3);
|
Output
[ 2, 1, 6, 5, 4, 3 ]
[
3, 2, 1, 9, 8, 7,
6, 5, 4, 14, 13, 12,
11, 10
]
Time Complexity: O(n), n is the size of array
Space Complexity: O(1)
Share your thoughts in the comments
Please Login to comment...