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Improve JumpSearch documentation with detailed explanation and example by Senrian · Pull Request #7354 · TheAlgorithms/Java · GitHub

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* Once the range is found, a linear search is performed within that block.
*
* <p>
* The Jump Search algorithm is particularly effective for large sorted arrays where the cost of
* performing a linear search on the entire array would be prohibitive.
* <b>How it works:</b>
* <ol>
* <li>Calculate the optimal block size as √n (square root of array length)</li>
* <li>Jump ahead by the block size until the current element is greater than the target</li>
* <li>Perform a linear search backwards within the identified block</li>
* </ol>
*
* <p>
* Worst-case performance: O(√N)<br>
* Best-case performance: O(1)<br>
* Average performance: O(√N)<br>
* Worst-case space complexity: O(1)
* <b>Example:</b><br>
* Array: [1, 3, 5, 7, 9, 11, 13, 15, 17, 19], Target: 9<br>
* Step 1: Jump from index 0 → 3 → 6 (9 < 13, so we found the block)<br>
* Step 2: Linear search from index 3 to 6: found 9 at index 4<br>
* Result: Index = 4
*
* <p>
* <b>Time Complexity:</b><br>
* - Best-case: O(1) - element found at first position<br>
* - Average: O(√n) - optimal block size reduces jumps<br>
* - Worst-case: O(√n) - element at end of array or not present<br>
*
* <p>
* <b>Space Complexity:</b> O(1) - only uses a constant amount of extra space
*
* <p>
* <b>Note:</b> Jump Search requires a sorted array. For unsorted arrays, use Linear Search.
* Compared to Linear Search (O(n)), Jump Search is faster for large arrays.
* Compared to Binary Search (O(log n)), Jump Search is less efficient but may be
* preferable when jumping through a linked list or when backward scanning is costly.
*
* <p>
* This class implements the {@link SearchAlgorithm} interface, providing a generic search method
* for any comparable type.
*
* @see SearchAlgorithm
* @see BinarySearch
* @see LinearSearch
*/
public class JumpSearch implements SearchAlgorithm {

/**
* Jump Search algorithm implementation.
*
* @param array the sorted array containing elements
* @param key the element to be searched
* @param array the sorted array containing elements (must be sorted in ascending order)
* @param key the element to be searched for
* @return the index of {@code key} if found, otherwise -1
*/
@Override
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