<prompt> Hlahisa tharollo bakeng sa bothata bo latelang bo kenyeletsang lipatlisiso tsa binaryHo latela boholo ba n, batla element x  <response>: Instruction in English: Generate a solution for the following problem that involves binary search . Response in English: 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. . Response in Sesotho: ngoe ea litsela tse sebetsang hantle tsa ho batla element x ka bongata ke ho sebelisa binary search. E sebetsa ka ho arola khafetsa nako ea ho batla ka halofo. Ke habohlokoa ho hlokomela hore lipatlisiso tsa binary li hloka hore lihlopha li hlophisoe. Tsela ea ho e kenya tsebetsong ke ena: 1. Ha re hlalose litsupa tse peli le letšehali le ho le letona, qalong re supe karolo ea pele le ea ho qetela ea lenane, ka ho latellana. 2. Bala index ea bohareng ka ho eketsa ka ho le letšehali le ka ho le letona, ebe u e arola ka 2. 3. Haeba boleng ba lenane le bohareng ba index bo lekana le boleng ba x, khutlisetsa index e bohareng joalo ka ha elemente e fumanoe. 4. Haeba boleng ba lenane le bohareng la index bo le ka tlase ho x, lahla halofo e ka ho le letšehali ea sehlopha ka ho tlisa le letšehali sesupa bohareng1. 5. Ho seng joalo, haeba boleng ba lenane le bohareng la index bo le kholo ho feta x, lahla halofo e nepahetseng ea lenane ka ho tlisa right pointer ho bohareng-1. 6. Pheta tsebetso ena ho fihlela element e fumanoa kapa ho fihlela pointer ea le letšehali e tšela right pointer, ho bolelang hore element ha e ea fumanoa. Mona ke mohlala oa khoutu o sebelisang patlo ea binary ho Python: python def binary_searcharray, x: ka ho le letšehali, ka ho le letona 0, lenarray -1 ha e ntse e le letšehali right: middle le letšehali le letona 2 if arraybohareng x: return middle elif arraybohare 