<prompt> Kuzalisha ufumbuzi kwa ajili ya tatizo zifuatazo kwamba inahusisha binary searchKutokana na safu ya ukubwa n, kutafuta kwa ajili ya kipengele x  <response>: One of the efficient ways to search for an element x in an array is to use binary search. It works by repeatedly dividing the search interval in half. It is important to note that binary search requires the array to be sorted. Heres how to implement it:1. Lets define two pointers left and right, initially pointing to the first and last element of the array, respectively.2. Calculate the middle index by adding left and right, then dividing it by 2.3. If the value of the array at the middle index is equal to the value x, return the middle index as the element was found.4. If the value of the array at the middle index is less than x, discard the left half of the array by bringing the left pointer to middle1.5. Otherwise, if the value of the array at the middle index is greater than x, discard the right half of the array by bringing the right pointer to middle-1.6. Repeat this process until either the element is found or until the left pointer crosses the right pointer, which means that the element was not found.Heres a sample code that implements binary search in Python:pythondef binary_searcharray, x: left, right 0, lenarray-1 while left right: middle left right 2 if arraymiddle x: return middle elif arraymiddle x: left middle 1 else: right middle - 1 return -1 element not foundBinary search has a time complexity of Olog n, making it a very efficient way to search for an element in a sorted array. 