Solving the Array Rotation Problem using JavaScript
Introduction:
Array manipulation is a common task in programming, and one interesting challenge is rotating an array to the right by a given number of steps. In this blog post, we will explore the array rotation problem, understand the approach to solving it, and implement a JavaScript program that effectively rotates an array.
Problem Description:
Given an array of integers and a rotation count k
, the task is to rotate the array to the right by k
steps. For instance, if the input array is [1, 2, 3, 4, 5]
and k
is 2, the expected output would be [4, 5, 1, 2, 3]
.
Approach:
To solve the array rotation problem, we can use a cyclic rotation approach. The idea is to repeatedly move the elements to their final positions while ensuring that we don't overwrite any values. This can be achieved in a few steps:
Calculate the effective rotation count: Since rotating an array by its length or multiples of its length would result in the same array, we can calculate the effective rotation count by taking the remainder of
k
when divided by the array length.Create a new array to store the rotated elements.
Iterate through the original array, and for each element at index
i
, calculate the new index after rotation using(i + effectiveRotation) % array.length
, and place the element in the new array at the calculated index.The new array now holds the rotated elements.
JavaScript Implementation:
function rotateArray(arr, k) {
const effectiveRotation = k % arr.length;
const rotatedArray = [];
for (let i = 0; i < arr.length; i++) {
const newIndex = (i + effectiveRotation) % arr.length;
rotatedArray[newIndex] = arr[i];
}
return rotatedArray;
}
// Example usage
const inputArray = [1, 2, 3, 4, 5];
const rotationCount = 2;
const rotatedResult = rotateArray(inputArray, rotationCount);
console.log(rotatedResult); // Output: [4, 5, 1, 2, 3]
Conclusion:
In this blog post, we explored the array rotation problem, discussed a cyclic rotation approach to solving it, and implemented a JavaScript program to rotate an array to the right by a given number of steps. Array manipulation problems like this one not only test our algorithmic skills but also enhance our ability to think critically and design efficient solutions. Happy coding!
Other Challenges:
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