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* [http://tenhou.net/0/?log=2014020614gm-0009-7447-66a016d0&tw=0&ts=5 Kokushi 13] | * [http://tenhou.net/0/?log=2014020614gm-0009-7447-66a016d0&tw=0&ts=5 Kokushi 13] | ||
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'''Kokushi musou''' {{kana|国士無双}}, also simply known as '''kokushi''' or in English as '''thirteen orphans''', is one of the standard [[List of yaku#Yakuman|yakuman]] hands. It is one of the three '''yakuman gosanke''' {{kana|役満御三家}}, or "the three big families of yakuman". This hand is one of the two exceptions of the "four | '''Kokushi musou''' {{kana|国士無双}}, also simply known as '''kokushi''' or in English as '''thirteen orphans''', is one of the standard [[List of yaku#Yakuman|yakuman]] hands. It is one of the three '''yakuman gosanke''' {{kana|役満御三家}}, or "the three big families of yakuman". This hand is one of the two exceptions of the "[[Mentsu|four tile groups and one pair]]" requirement for [[tenpai]] hands, where the other exception is [[chiitoitsu]]. In fact, hands for this yakuman involve individual tiles while including a [[pair]]. | ||
==Composition== | ==Composition== | ||
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Restricted as closed only, this hand must draw at least 12 of the 13 tile types, among the honors and terminals. If a pair exists within the hand upon [[tenpai]], then naturally, the hand is waiting on the last remaining tile type not yet in the hand. In turn, this hand will be deemed [[karaten|impossible for completion]], when all 4 of any of the tile types are no longer available. Yet, if a player manages to develop the 13 wait variety, then this hand greatly increases its chances of completion, needing to simply pair any of the 13 types. | Restricted as closed only, this hand must draw at least 12 of the 13 tile types, among the honors and terminals. If a pair exists within the hand upon [[tenpai]], then naturally, the hand is waiting on the last remaining tile type not yet in the hand. In turn, this hand will be deemed [[karaten|impossible for completion]], when all 4 of any of the tile types are no longer available. Yet, if a player manages to develop the 13 wait variety, then this hand greatly increases its chances of completion, needing to simply pair any of the 13 types. | ||
Reasonable development of this hand begins with a dealt set of tiles that gives a player the option to call [[Tochuu_ryuukyoku# | Reasonable development of this hand begins with a dealt set of tiles that gives a player the option to call [[Tochuu_ryuukyoku#Kyuushu_kyuuhai|kyuushu kyuuhai]]. Declining this option puts the hand on the path to form this yakuman. | ||
===Attempting kokushi=== | ===Attempting kokushi=== | ||
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On average, a hand ending in [[exhaustive draw]] ends with roughly 16-19 tiles discarded per player, pending any tile calls. Therefore, every player has that many tile draws to work with. For example, if a hand starts with 9 tiles for the yakuman, then it requires 4 [[shanten|tile draws]] searching for specific tiles. Usually, barring unusual circumstances, those tile draws are nonconsecutive. If anything, a number of tile draws will be required to even attain tenpai. With that said, the decision to form a kokushi musou must be a decisive one at the [[haipai|very beginning of the hand]]. | On average, a hand ending in [[exhaustive draw]] ends with roughly 16-19 tiles discarded per player, pending any tile calls. Therefore, every player has that many tile draws to work with. For example, if a hand starts with 9 tiles for the yakuman, then it requires 4 [[shanten|tile draws]] searching for specific tiles. Usually, barring unusual circumstances, those tile draws are nonconsecutive. If anything, a number of tile draws will be required to even attain tenpai. With that said, the decision to form a kokushi musou must be a decisive one at the [[haipai|very beginning of the hand]]. | ||
=== | === 13-way wait development === | ||
Kokushi musou juusan menmachi is very rare. Out of all random tile draws that result in tenpai for kokushi, the chance of naturally drawing all 13 tiles without a single duplicate is approximately one in 9500 (~0.0106%). The only "consistent" way to achieve the double yakuman is to complete kokushi via tsumo, but discard the pair and hope to complete the hand while in furiten. | |||
===Kyuushu kyuuhai=== | |||
{{main|Tochuu ryuukyoku}} | {{main|Tochuu ryuukyoku}} | ||