<prompt> Sepheo sa ho tebisa maikutlo ho algorithm ea ho batla e tebileng ke efe?nan  <response>: Instruction in English: What is the purpose of iterative deepening in a depth-first search algorithm? . Response in English: Iterative deepening is a technique used in depth-first search algorithms in which the depth of the search is gradually increased until a solution is found. The purpose of iterative deepening is to combine the advantages of depth-first and breadth-first search algorithms. Depth-first search is more space-efficient as it only needs to store a stack of nodes for the current path, while breadth-first search needs to store the entire tree level. However, depth-first search can potentially get stuck in an infinite branch and may never find a solution even if one exists. Iterative deepening addresses this problem by limiting the depth of the search at each iteration, so that infinite branches are effectively ignored. It also retains the space-efficiency of depth-first search while ensuring that the shallowest solution is found, similarly to breadth-first search. Additionally, for tree searches where most of the solutions are near the bottom, iterative deepening can be more time-efficient than breadth-first search as it does not need to explore all the shallow levels.In summary, the purpose of iterative deepening in a depth-first search algorithm is to provide a more efficient, complete and optimal search strategy that combines the advantages of both depth-first and breadth-first search algorithms. . Response in Sesotho: Ho tebisa ka makhetlo-khetlo ke mokhoa o sebelisoang ka botebo-pele ho batla algorithms moo botebo ba lipatlisiso bo ntseng bo eketseha butle-butle ho fihlela tharollo e fumanoa. Sepheo sa ho tebisa khafetsa ke ho kopanya melemo ea li-algorithms tsa ho batla ka botebo-pele le bophara ba pele. Patlisiso e tebileng ea pele e sebetsa hantle haholo sebakeng kaha e hloka feela ho boloka mokoloko oa li-node bakeng sa tsela ea hajoale, ha lipatlisiso tsa bophara ba pele li hloka ho boloka boemo bohle ba sefate. Leha ho le joalo, patlisiso e tebileng ea pele e ka na ea khomarela lekaleng le sa feleng me e ka na ea se ke ea fumana tharollo le haeba e le teng. Ho tebisa khafetsa ho rarolla bothata bona ka ho fokotsa botebo ba patlisiso nako le nako, e le hore makala a sa feleng a hlokomolohuoe. E boetse e boloka bokhoni ba sebaka sa lipatlisiso tse tebileng-pele ha e ntse e netefatsa hore tharollo e sa tebang e fumanoa, ka mokhoa o tsoanang le ho batla ka bophara. Ho feta moo, bakeng sa lipatlisiso tsa lifate moo litharollo tse ngata li leng haufi le tlase, ho teba ka nako e telele ho ka sebetsa nako e telele ho feta lipatlisiso tsa pele kaha ha ho hloke ho hlahloba maemo ohle a sa tebang. Ka bokhutsoane, sepheo sa ho tebisa ka makhetlo-khetlo algorithm ea ho batla ka botebo ke ho fana ka leano la ho batla le sebetsang hantle, le felletseng le le ntlafetseng le kopanyang melemo ea li-algorithms tsa ho batla ka botebo-pele le bophara ba pele. 