What is the difference between exponential search and jump search?

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What is the difference between exponential search and jump search?

The main difference between exponential search and jump search lies in their approach to finding a target element within a sorted array.

Exponential search starts by comparing the target element with the first element of the array. If they match, the search is complete. Otherwise, it exponentially increases the index to be checked until it finds an element greater than the target or reaches the end of the array. Once this is done, it performs a binary search between the previous index and the current index to find the target element.

On the other hand, jump search divides the array into blocks of a fixed size and performs a linear search within each block. If the target element is found within a block, the search is complete. Otherwise, it jumps to the next block and repeats the process until the target element is found or it exceeds the last element of the array. Once the block containing the target element is identified, a linear search is performed within that block to find the target.

In summary, exponential search uses exponential increments to narrow down the search range before performing a binary search, while jump search divides the array into blocks and performs linear searches within each block.