Complexities like O(1) and O(n) are
simple to understand. O(1) means it requires constant time to perform
operations like to reach an element in constant time as in case of dictionary
and O(n) means, it depends on the value of n to perform operations such as
searching an element in an array of n elements.
But
for O(Log n),
it is not that simple. Let us discuss this with the help of Binary Search
Algorithm whose complexity is O(log n).
Binary Search: Search a sorted array by
repeatedly dividing the search interval in half. Begin with an interval
covering the whole array. If the value of the search key is less than the item
in the middle of the interval, narrow the interval to the lower half.
Otherwise, narrow it to the upper half. Repeatedly check until the value is
found or the interval is empty.