The optimal block size for a Jump Search is the square root of the size of the array being searched[1][3]. This is because Jump Search works by dividing the array into blocks of equal size and jumping between blocks until the target element is found or the end of the array is reached.
The algorithm works as follows:
Divide the array into blocks of size √n, where n is the size of the array.
Jump from block to block, comparing the last element of each block to the target element.
When the target element is found to be greater than the last element of a block, perform a linear search within that block to find the target element.
By setting the block size to √n, the algorithm minimizes the number of jumps required while ensuring that the linear search within each block is not too large[1][3]. This results in an optimal time complexity of O(√n) for the Jump Search algorithm.
