<prompt> Hlalosa bohlokoa ba ho khutlela morao ho saense ea khomphutha.nan  <response>: Instruction in English: Explain the importance of recursion in computer science. . Response in English: Recursion is a powerful concept in computer science that allows a function or algorithm to call itself repeatedly in a repeated manner to solve a problem. It is a critical tool that forms the basis for many common algorithms and data structures. There are several reasons why recursion is important in computer science:1. Simplicity: In certain cases, a recursive solution can be simpler and easier to read and understand compared to an equivalent iterative solution. This is especially true for problems that have a natural recursive structure, such as tree-based problems or problems that can be broken down into subproblems of the same type.2. Divide and Conquer: Recursion is very useful for solving complex problems using the divide-and-conquer technique. This technique involves breaking down a problem into smaller subproblems, solving them recursively, and combining the results to solve the original problem. Many well-known algorithms, like quicksort and merge sort, use recursion to achieve optimal performance.3. Backtracking: Recursion is widely used in backtracking algorithms, which involve exploring all possible solutions to a problem and choosing the best one. Recursion enables the algorithm to backtrack to a previous point in the search space when a dead end is reached, allowing the algorithm to continue exploring other potential solutions.4. Depth-First Search: Recursion is a natural fit for depth-first search algorithms, which involve exploring a graph or tree by going as deep as possible before backtracking to explore other branches. Recursion allows the algorithm to keep track of its current position in the search space, making it easier to implement and understand.Overall, recursion is an essential concept in computer science, helping to solve complex problems in a powerful, elegant, and intuitive way. . Response in Sesotho: Recursion ke mohopolo o matla ho mahlale a khomphutha o lumellang tsebetso kapa algorithm ho ipitsa khafetsa ka mokhoa o pheta-phetoang ho rarolla bothata. Ke sesebelisoa sa bohlokoa se etsang motheo oa li-algorithms tse ngata tse tloaelehileng le libopeho tsa data. Ho na le mabaka a maloa a hore na ke hobaneng ha ho pheta-pheta ho le bohlokoa ho saense ea khomphieutha: 1. Bonolo: Maemong a mang, tharollo e pheta-phetoang e ka ba bonolo le ho ba bonolo ho e bala le ho e utloisisa ha e bapisoa le tharollo e lekanang le eona. Sena ke nete ka ho khetheha bakeng sa mathata a nang le sebopeho sa tlhaho sa ho ipheta, joalo ka mathata a thehiloeng lifateng kapa mathata a ka aroloa ka li-subproblems tsa mofuta o le mong. 2. Arola me U Fenye: Ho khutlela morao ho molemo haholo bakeng sa ho rarolla mathata a rarahaneng ka mokhoa oa ho arola le ho hlōla. Mokhoa ona o kenyelletsa ho arola bothata ka mathata a manyenyane, ho a rarolla ka ho pheta-pheta, le ho kopanya liphello ho rarolla bothata ba pele. Li-algorithms tse ngata tse tsebahalang, joalo ka quicksort le merge sort, sebelisa recursion ho fihlela tsebetso e nepahetseng. 3. Backtracking: Recursion e sebelisoa haholo ho backtracking algorithms, e kenyelletsang ho hlahloba mekhoa eohle e ka khonehang ea bothata le ho khetha e molemo ka ho fetisisa. Recursion e nolofalletsa algorithm ho khutlela sebakeng se fetileng sebakeng sa ho batla ha ho fihla pheletsong e shoeleng, e lumellang algorithm hore e tsoele pele ho hlahloba mekhoa e meng e ka bang teng. 4. Patlisiso e tebileng ea pele: Recursion ke mokhoa oa tlhaho o loketseng li-algorithms tsa ho batla tse tebileng, tse kenyelletsang ho hlahloba graph kapa sefate ka ho teba ka hohle kamoo ho ka khonehang pele o khutlela morao ho hlahloba makala a mang. Recursion e lumella algorithm ho boloka tlaleho ea boemo ba eona ba hajoale sebakeng sa ho batla, ho etsa hore ho be bonolo ho e sebelisa le ho e utloisisa. Ka kakaretso, recursion ke mohopolo oa bohlokoa ho mahlale a khomphutha, o thusang ho rarolla mathata a rarahaneng ka tsela e matla, e ntle le e hlakileng. 