Exponential Search in Data Structure And Algorithm : Practice MCQ Questions & Answers with Explanations

Logarithmic search is not an alternate name of the exponential search. Some alternate names of exponential search are Doubling search, Galloping search and Struzik search.

Time complexity of exponential search and binary search are the same. But exponential search performs better than binary search when the element being searched is present near the starting point of the array.

Exponential search first finds the range where binary search needs to be applied. So when the element is present near the starting point of the array then exponential search performs better than standard binary search.

The worst case time complexity of jump search and exponential searches are O(n1/2) and O(log n) respectively. So exponential search is better in terms of time complexity.

Best case of the exponential search will be when the first element of the array is the element that is being searched. In this case, only one comparison will be required. Thus it will have a time complexity of O(1).

Jump search only needs to jump backwards once, while an exponential search can jump backwards up to log n times. Thus jump search will be preferred if jumping backwards is expensive.

Exponential search has the least time complexity (equal to log n) out of the given searching algorithms. This makes exponential search preferable in most cases.

Exponential search requires an auxiliary space of log n when used with recursive binary search. This space is required for the recursion call stack space.

Exponential search does not require any auxiliary space for finding the element being searched. So it has a constant auxiliary space O(1).

In exponential search, we first find a range where the required elements should be present in the array. Then we apply binary search in this range. This takes O(log n) time in the worst case.

Exponential search has neither an exponential space complexity nor exponential time complexity. It is named exponential search because it searches for an element in an exponential manner.

In exponential search, we first find a range where the required elements should be present in the array. Then we apply binary search in this range.

Exponential sort requires the input array to be sorted. The algorithm would fail to give the correct result if array is not sorted.