<prompt> Hlalosa mohopolo oa algorithm ea mofuta oa qubu.nan  <response>: Instruction in English: Explain the concept of a heap sort algorithm. . Response in English: A heap sort algorithm is an efficient sorting technique based on the heap data structure, which is a complete binary tree where nodes are organized in order of increasing or decreasing value. It is an in-place, non-stable sorting algorithm with a time complexity of On log n for both the best and worst cases.The basic idea behind the heap sort is to convert the unsorted list into a max-heap, which is a complete binary tree where the value of the root is greater than or equal to its children. Then, the algorithm repeatedly removes the largest element from the heap and places it at the end of the array while maintaining the heap property. This process continues until the heap is empty, and the result is a sorted list in ascending order.The heap sort algorithm consists of two main parts: building the max-heap and sorting the list. Building a max-heap involves rearranging elements of the list to satisfy the properties of a max-heap. The algorithm then removes the root node, which contains the maximum element, and swaps it with the last node. The size of the heap is reduced, and the process is repeated until the heap is empty.In summary, heap sort is an efficient sorting technique that utilizes the heap data structure to organize the elements of a list in a specific order. It performs better than simpler sorting algorithms like bubble sort and insertion sort, and its time complexity is comparable to other efficient sorting algorithms like quicksort and mergesort. . Response in Sesotho: Algorithm ea mofuta oa qubu ke mokhoa o sebetsang oa ho hlopha o ipapisitse le sebopeho sa data ea qubu, e leng sefate se felletseng sa binary moo li-node li hlophisitsoeng ka tatellano ea ho eketseha kapa ho fokotseha ha boleng. Ke algorithm ea ho hlophisa sebakeng, e sa tsitsang e nang le nako e thata ea On log n bakeng sa maemo a matle le a mabe ka ho fetesisa. Mohopolo oa mantlha oa mofuta oa qubu ke ho fetolela lethathamo le sa hlophisoang hore e be max-heap, e leng sefate se felletseng sa binary moo boleng ba motso bo leng boholo ho feta kapa bo lekanang le bana ba sona. Ebe, algorithm e tlosa khafetsa ntho e kholo ho tsoa qubu ebe e e beha qetellong ea sehlopha ha e ntse e boloka thepa ea qubu. Tsebetso ena e tsoela pele ho fihlela qubu e se na letho, me sephetho ke lethathamo le hlophisitsoeng ka tatellano e nyolohang. Algorithm ea mofuta oa qubu e na le likarolo tse peli tsa mantlha: ho aha max-heap le ho hlopha lenane. Ho aha max-heap ho kenyelletsa ho hlophisa bocha likarolo tsa lenane ho khotsofatsa thepa ea max-heap. Joale algorithm e tlosa node ea motso, e nang le karolo e kholo, ebe e e fetola ka node ea ho qetela. Boholo ba qubu bo fokotsehile, me tsebetso e phetoa ho fihlela qubu e se na letho. Ka kakaretso, heap sort ke mokhoa o atlehileng oa ho hlopha o sebelisang sebopeho sa data ea qubu ho hlophisa likarolo tsa lethathamo ka tatellano e itseng. E sebetsa betere ho feta mekhoa e bonolo ea ho hlopha joalo ka mofuta oa bubble le mofuta oa ho kenya, me ho rarahana ha nako ea eona ho bapisoa le li-algorithms tse ling tse sebetsang hantle tsa ho hlopha joalo ka quicksort le mergesort. 