Recursion is more than just a theoretical concept; it has numerous practical applications across various algorithms. Understanding these applications can greatly enhance your programming skills.

In this blog, we’ll discuss:

• Sorting Algorithms: How recursion is used in sorting.
• Searching Algorithms: The role of recursion in searching.

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Sorting Algorithms

Quick Sort

Quick Sort is a recursive sorting algorithm that works by selecting a 'pivot' element and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot.

Example: Quick Sort

function quickSort(arr) {
  if (arr.length <= 1) return arr;
  const pivot = arr[arr.length - 1];
  const left = arr.slice(0, -1).filter(x => x < pivot);
  const right = arr.slice(0, -1).filter(x => x >= pivot);
  return [...quickSort(left), pivot, ...quickSort(right)];
}

Searching Algorithms

Binary Search

Binary Search is a classic example of recursion in searching algorithms. It divides the search interval in half repeatedly until the target value is found.

Example: Binary Search

function binarySearch(arr, target) {
  function search(low, high) {
    if (low > high) return -1;
    const mid = Math.floor((low + high) / 2);
    if (arr[mid] === target) return mid;
    return arr[mid] > target ? search(low, mid - 1) : search(mid + 1, high);
  }
  return search(0, arr.length - 1);
}

Conclusion

Recursion is a powerful tool that finds applications in various sorting and searching algorithms. Mastering these practical uses can elevate your algorithmic skills.