4:["$","div",null,{"className":"min-h-screen bg-white flex flex-col","children":[["$","div",null,{"className":"px-6 pt-6 pb-4 border-b border-gray-100","children":[["$","div",null,{"className":"flex items-center gap-1.5 text-xs text-gray-400 mb-4","children":[["$","a",null,{"href":"/","className":"hover:text-[#26a69a] transition-colors","children":"Market"}],["$","span",null,{"children":"›"}],["$","span",null,{"className":"text-gray-600","children":"Sliding puzzle"}]]}],["$","div",null,{"className":"text-[10px] text-gray-400 uppercase tracking-widest mb-1","children":"Company Profile"}],["$","h1",null,{"className":"text-2xl font-bold text-gray-900","children":"Sliding puzzle"}],null]}],["$","div",null,{"className":"flex-1 px-6 py-6","children":[["$","p",null,{"className":"text-sm text-gray-600 leading-relaxed mb-8","children":"A sliding puzzle, sliding block puzzle, or sliding tile puzzle is a combination puzzle that challenges a player to slide pieces along certain routes to establish a certain end-configuration. The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a larger picture, numbers, or letters."}],["$","div",null,{"className":"columns-1 md:columns-2 gap-10","children":[["$","div","0",{"className":"mb-8 break-inside-avoid","children":[["$","div",null,{"className":"text-xs font-semibold text-gray-400 uppercase tracking-wide mb-3 border-b border-gray-100 pb-1","children":"Group theory"}],["$","div",null,{"className":"text-sm text-gray-600 leading-relaxed wiki-content","dangerouslySetInnerHTML":{"__html":"As a famous example of the sliding puzzle, it can be proved that the 15 puzzle can be represented by the alternating group A_{15}, because the combinations of the 15 puzzle can be generated by 3-cycles. In fact, any n \\times m sliding puzzle with square tiles of equal size can be represented by A_{n m - 1}. ==Gallery=="}}]]}],["$","div","1",{"className":"mb-8 break-inside-avoid","children":[["$","div",null,{"className":"text-xs font-semibold text-gray-400 uppercase tracking-wide mb-3 border-b border-gray-100 pb-1","children":"Gallery"}],["$","div",null,{"className":"text-sm text-gray-600 leading-relaxed wiki-content","dangerouslySetInnerHTML":{"__html":"File:15-puzzle.svg|A solved 15-puzzle File:15-puzzle-Rate-Your-Mind-Pal.svg|A solved 15-puzzle with letters forming a sentence File:15-puzzle_image.svg|A solved 15-puzzle with an image File:Combination Puzzle 7x7 sliding piece.jpg|A 7x7 sliding puzzle. The goal is for each image to appear only once horizontally, vertically, and diagonally. There is more than one solution to this puzzle. File:batgirl.gif|A 3x3 sliding puzzle featuring a comic book character File:Hakoiri3.jpg|An example of the Klotski puzzle File:15-Puzzle.jpg|An unsolvable puzzle due to the pieces not being in an even permutation ==Examples of sliding puzzles=="}}]]}],["$","div","2",{"className":"mb-8 break-inside-avoid","children":[["$","div",null,{"className":"text-xs font-semibold text-gray-400 uppercase tracking-wide mb-3 border-b border-gray-100 pb-1","children":"Examples of sliding puzzles"}],["$","div",null,{"className":"text-sm text-gray-600 leading-relaxed wiki-content","dangerouslySetInnerHTML":{"__html":"• Fifteen puzzle • Klotski • Minus Cube • Rush Hour • Sokoban • Rubik's Slide ==See also=="}}]]}]]}],"$Lf"]}],"$L10"]}]