Answer: Interpolation search

Explanation: Interpolation search is a binary search algorithm that works by calculating the position of the element based on its value and the values of the first and last elements in the array.

Answer: Binary search

Explanation: Binary search is used for searching in a balanced binary search tree because it takes advantage of the tree's structure to quickly find the element.

Answer: Breadth-first search

Explanation: Breadth-first search can be used for finding the shortest path between two nodes in a graph because it visits all the nodes at a given level before moving on to the next level.

Answer: Jump search

Explanation: Jump search is a linear search algorithm that works by dividing an array into blocks and then searching for the element in the appropriate block.

Answer: Linear search

Explanation: Linear search works by searching the elements one by one from the beginning of the array, which makes it a slow searching algorithm for large arrays.

Answer: Binary search

Explanation: Binary search has a time complexity of O(log n), which is better than the time complexity of the other searching algorithms.

Answer: Binary search

Explanation: Binary search works by recursively dividing the array in half until the element is found, which makes it a fast searching algorithm for sorted arrays.

Answer: Depth-first search

Explanation: Depth-first search is used for searching in a graph because it traverses the graph in a depth-first manner and can find all reachable vertices.

Answer: Hashing

Explanation: Hashing is not a comparison-based algorithm because it uses a hash function to map the element to a specific location in the hash table.

Answer: Hashing

Explanation: Hashing is the most efficient searching algorithm for searching in a hash table because it takes advantage of the hash function to quickly locate the element.