<prompt> Hlalosa hore na ke hobaneng ha algorithm ena e sebetsa.def binary_searchlenane, sepheo: tlase 0 holimo lenlethathamo - 1 ha e ntse e le tlase holimo: bohareng tlase ka holimo 2 Floor Division guess listmid if guess target: khutlela bohareng haeba u hakanya sepheo: holimo bohareng - 1 e ngoe: tlaase bohareng 1 khutlela Ha ho letho  <response>: Instruction in English: Explain why this algorithm works. . Response in English: The binary search algorithm is designed to search for a specific element or target within a sorted list of elements. The algorithm works by repeatedly dividing the search interval in half until the target value is found or the search interval is empty. Initially, the search interval defined by the lower and upper variables encompasses the entire list. The midpoint of the search interval is calculated by taking the average of the lower and upper indices via floor division. The algorithm then compares the value of the element at the midpoint, referred to as the guess, to the target value. If the guess is equal to the target, the function returns the index of the guess. If the guess is larger than the target, the upper bound of the search interval is reduced to exclude the guess and all larger values, since the target must lie in the lower half of the search interval. If the guess is smaller than the target, the lower bound of the search interval is increased to exclude the guess and all smaller values, as the target must lie in the upper half of the search interval.The while loop continues until either the target value is found or the search interval is empty, meaning that the target value is not present in the list. If the target value is not found, the function returns a value of None.The reason the binary search algorithm is effective is that it takes advantage of the sorted nature of the input list. By repeatedly dividing the search interval in half, the algorithm is able to quickly narrow down the possible locations of the target value. This allows the algorithm to search large lists much more efficiently than a simple linear search, which would require examining every element in the list. . Response in Sesotho: Binary search algorithm e etselitsoe ho batla ntho e itseng kapa sepheo ka hara lethathamo le hlophisitsoeng la likarolo. Algorithm e sebetsa ka ho arola khafetsa nako ea ho batla ka halofo ho fihlela boleng ba sepheo bo fumanoa kapa nako ea ho batla e se na letho. Qalong, nako ea ho batla e hlalosoang ke mefuta e tlaase le e ka holimo e akaretsa lethathamo lohle. Bohareng ba nako ea ho batla bo baloa ka ho nka karolelano ea li-indices tse tlase le tse holimo ka ho arola fatše. Joale algorithm e bapisa boleng ba ntho e bohareng, eo ho thoeng ke khakanyo, le boleng ba sepheo. Haeba khakanyo e lekana le sepheo, tšebetso e khutlisa index ea khakanyo. Haeba khakanyo e le kholo ho feta sepheo, moeli o ka holimo oa nako ea ho batla o fokotsehile ho qhelela khakanyo le litekanyetso tsohle tse kholoanyane, kaha sepheo se tlameha ho ba karolong e ka tlaase ea nako ea ho batla. Haeba khakanyo e le nyane ho feta sepheo, moeli o tlase oa nako ea ho batla o ea eketseha ho qhelela khakanyo le litekanyetso tsohle tse nyane, kaha sepheo se tlameha ho ba karolong e kaholimo ea nako ea ho batla. The while loop e tsoela pele ho fihlela boleng ba sepheo bo fumanoa kapa nako ea ho batla e se na letho, ho bolelang hore boleng ba sepheo ha bo teng lethathamong. Haeba boleng ba sepheo bo sa fumanehe, tšebetso e khutlisa boleng ba None. Lebaka leo ka lona binary search algorithm e sebetsang ke hore e nka monyetla oa mofuta o hlophisitsoeng oa lenane la ho kenya. Ka ho arola khafetsa nako ea ho batla ka halofo, algorithm e khona ho potlakisa ho fokotsa libaka tse ka khonehang tsa boleng ba sepheo. Sena se lumella algorithm ho batla manane a maholo ka mokhoa o atlehileng ho feta mokhoa o bonolo oa ho batla, o tla hloka ho hlahloba ntho e ngoe le e ngoe lethathamong. 