What is the difference between jump search and ternary search?

The main difference between jump search and ternary search lies in the way they divide the search space.

Jump search is a searching algorithm that works by dividing the array into smaller blocks or subarrays and then performing a linear search within each block. It starts by jumping ahead a fixed number of steps (usually the square root of the array size) and checks if the target element is present in that block. If the target element is not found, it continues to jump ahead until the target element is found or it exceeds the array size. Jump search is efficient for sorted arrays.

On the other hand, ternary search is a divide and conquer algorithm that repeatedly divides the search space into three parts. It compares the target element with the values at two points, dividing the array into three subarrays. If the target element is smaller than the first point, the search continues in the first subarray. If it is larger than the second point, the search continues in the third subarray. Otherwise, if it lies between the two points, the search continues in the second subarray. This process is repeated until the target element is found or the search space is exhausted. Ternary search is efficient for sorted and monotonic functions.

In summary, jump search divides the array into smaller blocks and performs a linear search within each block, while ternary search repeatedly divides the search space into three parts based on comparisons with two points.