<prompt> Hlalosa algorithm ea ho rarolla papali ea 8-puzzle.nan  <response>: Instruction in English: Outline an algorithm to solve the 8-puzzle game. . Response in English: The 8-puzzle game consists of a 3x3 grid with eight numbered tiles and a blank space. The goal of the game is to rearrange the tiles so that they are in ascending order, with the blank space in the bottom right corner.Here is an algorithm that can be used to solve the 8-puzzle game:1. Initialize the game board: Start by generating the initial state of the game board, with the tiles arranged in a random order.2. Check if the puzzle is solvable: Not all initial states of the 8-puzzle game are solvable. Before starting the algorithm, check if the puzzle is solvable using the inversion formula. If the puzzle is not solvable, a solution cannot be found.3. Choose a search algorithm: There are several search algorithms that can be used to solve the 8-puzzle game, including the A algorithm, the breadth-first search algorithm, and the depth-first search algorithm. Choose the one that best fits the needs of the player.4. Define the heuristic function: A heuristic function estimates the distance from the current state to the goal state. For the 8-puzzle game, a common heuristic is the Manhattan distance, which calculates the distance between the current position of each tile and its goal position.5. Run the search algorithm: Start the search algorithm, using the heuristic function to guide the search. The algorithm will explore different states of the puzzle, looking for a sequence of moves that leads to the goal state.6. Backtrack to find the solution: Once the search algorithm finds the goal state, backtrack through the search tree to find the sequence of moves that leads to the solution.7. Display the solution: Display the sequence of moves that leads to the solution, so that the player can follow them to solve the puzzle. . Response in Sesotho: Papali ea 8-puzzle e na le marang-rang a 3x3 a nang le lithaele tse nang le linomoro tse robeli le sebaka se se nang letho. Sepheo sa papali ke ho hlophisa lithaele bocha hore li be ka tatellano e nyolohang, me ho na le sebaka se se nang letho hukung e ka tlase ho le letona. Mona ke algorithm e ka sebelisoang ho rarolla papali ea 8-puzzle: 1. Qala boto ea papali: Qala ka ho hlahisa boemo ba pele ba boto ea papali, ka lithaele tse hlophisitsoeng ka tatellano e sa reroang. 2. Lekola hore na puzzle e ka rarolloa: Ha se maemo ohle a qalang a papali ea 8-puzzle a ka rarolloang. Pele o qala algorithm, hlahloba hore na puzzle e ka rarolloa ka mokhoa oa inversion. Haeba bothata bo ke ke ba rarolloa, tharollo e ke ke ea fumanoa. 3. Khetha algorithm ea ho batla: Ho na le mekhoa e mengata ea ho batla e ka sebelisoang ho rarolla papali ea 8-puzzle, ho kenyeletsoa algorithm ea A , algorithm ea ho batla ka bophara, le algorithm ea ho batla ka botebo. Khetha e lumellanang hantle le litlhoko tsa sebapali. 4. Hlalosa mosebetsi oa heuristic: Mosebetsi oa heuristic o hakanya sebaka ho tloha sebakeng sa hona joale ho ea sebakeng sa sepheo. Bakeng sa papali ea 8-puzzle, heuristic e tloaelehileng ke sebaka sa Manhattan, se lekanyang sebaka se pakeng tsa boemo ba hajoale ba thaele ka ngoe le boemo ba eona ba sepheo. 5. Sebelisa algorithm ea ho batla: Qala algorithm ea ho batla, u sebelisa mosebetsi oa heuristic ho tataisa lipatlisiso. Algorithm e tla hlahloba maemo a fapaneng a papali, ho batla tatellano ea metsamao e lebisang sebakeng sa sepheo. 6. Backtrack ho fumana tharollo: Hang ha algorithm ea ho batla e fumana boemo ba sepheo, khutlela morao ka sefate sa ho batla ho fumana tatellano ea mehato e lebisang tharollo. 7. Hlahisa tharollo: Bontša tatellano ea metsamao e lebisang tharollong, e le hore sebapali se ka ba latela ho rarolla puzzle. 