With the advent of online gaming, some computer mahjong games offer "clash" style player vs player challenges where each opponent solves the same board and shuffle, and the best score wins. The winds are usually worth the most bonus points when paired individually, but the most bonus points are achieved by matching all of the seasons followed by all of the flowers (or vice versa). Using traditional mahjong tiles, the sets include the dragons, the flowers, the seasons, and the winds. Points are gained for each pair removed, with bonus points for removing matched pairs in sequence or removing pairs in sequence that are parts of sets. Mahjong solitaire can be played either solo or with a partner, in which case the aim is to accumulate the most pairs, to be the last one to match a pair, or to score the most points. Additionally, most implementations of the game arrange the tiles in such a way that the game is solvable in at least one way. Most also offer hints or undo options which provides the ability to have a match found for the player or to backtrack and undo already made moves. These games often have a time limit which is sometimes optional. Adding "wildcard tiles" and other tiles that have special functions.
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Playing a series of different layouts with varying levels of difficulty (usually given Chinese-looking names such as 'the ox' or 'the snake').Changing the tile set and patterns from the traditional tiles to flowers, jewels or other items that may be easier to match up at a glance.Some electronic Mahjong solitaire games offer extra options, such as: This removes the tedium of set-up and the temptation to cheat. Usually though, it is played in an electronic form as a computer game. Mahjong solitaire can be played using genuine tiles and a special wooden frame for set-up. It has been proven that it is PSPACE-hard to approximate the maximum probability of removing all tiles within a factor of n ϵ games with the default layout, "the turtle", revealed that between 2.95 and 2.96 percent of the turtles cannot be solved even if looking below tiles is allowed. Playing Mahjong solitaire optimally in the sense to maximize the probability of removing all tiles is PSPACE-complete, and the game gets NP-complete when looking below tiles is allowed. Sometimes, tiles are only partially covered by other tiles, and the extent to which such tiles can be distinguished depends on the actual tile set. But by repeated undos or restarts which some programs offer, one gradually gets more and more information. Tiles that are below other tiles cannot be seen. The game is finished when all pairs of tiles have been removed from the board or when there are no exposed pairs remaining. The goal is to match open pairs of identical tiles and remove them from the board, exposing the tiles under them for play. A tile is said to be open or exposed if it can be moved either left or right without disturbing other tiles. The 144 tiles are arranged in a special four-layer pattern with their faces upwards. An untouched turtle formation, with exposed "free" tiles highlighted in blue
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