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Shanten: Difference between revisions
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→Lower bound estimate: 13 disconnected is only 8-shanten, despite having 13 tiles, so "# useless tiles" doesn't *always* work
m (→Lower bound estimate: 13 disconnected is only 8-shanten, despite having 13 tiles, so "# useless tiles" doesn't *always* work) |
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=== Lower bound estimate === | === Lower bound estimate === | ||
For the standard "4 groups + 1 pair" shape, every "useless" tile (any lone honor tile; number tiles with no neighbors in a +/- 2 interval) must be discarded or grouped in order to reach tenpai. Therefore, the # of useless tiles | For the standard "4 groups + 1 pair" shape, every "useless" tile (any lone honor tile; number tiles with no neighbors in a +/- 2 interval) must be discarded or grouped in order to reach tenpai. Therefore, the # of useless tiles is a good minimum for the "4 groups + 1 pair" shape. The actual shanten may be higher, but usually isn't lower. | ||
It is important to note that this method of counting useless tiles does not account for [[chiitoitsu]] or [[kokushi musou]]. | It is important to note that this method of counting useless tiles does not account for [[chiitoitsu]] or [[kokushi musou]]. | ||