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'''Fu''' {{kana|符}} (''pronounced as foo'') is a component of [[scoring]].  It takes the hand composition into consideration in terms of [[mentsu|tile groups]], [[machi|wait patterns]] and/or win method.  In addition, every hand begins with a default start value of 20 fu.  To determine the final number of ''fu'', the sources of fu are added up along with the base number and then rounded up to the nearest 10.  One exception falls on the yaku [[chiitoitsu]], which is defined and set at 25 fu, regardless of other factors.
'''Fu''' {{kana|符}} (''pronounced as foo'') is a component of [[scoring]].  It takes the hand composition into consideration in terms of [[mentsu|tile groups]], [[machi|wait patterns]] and/or win method.  In addition, every hand begins with a default start value of 20 fu.  To determine the final number of ''fu'', the sources of fu are added up along with the base number and then rounded up to the nearest 10.  One exception falls on the yaku [[chiitoitsu]], which is defined and set at 25 fu, regardless of other factors.


==Tile groups==
==Counting Fu==
===Tile groups===
For shuntsu (sequences), the fu count is 0.  For koutsu (triplet) and kantsu (four-of-a-kind), the fu value depends on whether they are [[tanyaohai]] (simples) or [[jihai]]/[[routouhai]] (honor/terminals).
For shuntsu (sequences), the fu count is 0.  For koutsu (triplet) and kantsu (four-of-a-kind), the fu value depends on whether they are [[tanyaohai]] (simples) or [[jihai]]/[[routouhai]] (honor/terminals).


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==Waits==
===Waits===


The different [[machi|basic wait patterns]] count for fu as well.  [[Complex machi|Combination wait patterns]] are not listed, such as [[nobetan]], [[sanmentan]], and [[ryanmenten]].  Both nobetan and sanmentan counts for [[tanki]]; and ryanmenten counts for [[ryanmen]].  Other combination patterns factor fu the same as the basic patterns listed here.  However, the fu counts only one time.  For example, a combination of tanki and [[kanchan]] only generates 2 fu from one pattern but not for both.
The different [[machi|basic wait patterns]] count for fu as well.  [[Complex machi|Combination wait patterns]] are not listed, such as [[nobetan]], [[sanmentan]], and [[ryanmenten]].  Both nobetan and sanmentan counts for [[tanki]]; and ryanmenten counts for [[ryanmen]].  Other combination patterns factor fu the same as the basic patterns listed here.  However, the fu counts only one time.  For example, a combination of tanki and [[kanchan]] only generates 2 fu from one pattern but not for both.
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==Yakuhai pair==
===Yakuhai pair===


If the hand's pair is of tiles that would score [[yakuhai]] in a koutsu, then this scores 2 fu.  If the pair doubles up as both the round wind and the seat wind, it may score 2 fu, or 4 fu.  That is dependent on which [[Scoring variations#Double Wind Fu|scoring rule]] is used for this case.
If the hand's pair is of tiles that would score [[yakuhai]] in a koutsu, then this scores 2 fu.  If the pair doubles up as both the round wind and the seat wind, it may score 2 fu, or 4 fu.  That is dependent on which [[Scoring variations#Double Wind Fu|scoring rule]] is used for this case.


==Winning condition==
===Winning condition===
* Winning with a closed hand by ron, the hand is awarded 10 fu. These 10 fu are called ''menzen-kafu'' and do not count against the player for achieving [[pinfu]].
* Winning with a closed hand by ron, the hand is awarded 10 fu. These 10 fu are called ''menzen-kafu'' and do not count against the player for achieving [[pinfu]].
* A win by tsumo with an open or closed hand is worth 2 fu.
* A win by tsumo with an open or closed hand is worth 2 fu.
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* Depending on the [[Scoring variations#Rinshan Fu|scoring rules]] used, a hand won with a kan replacement tile may also be ineligible for the 2 fu for tsumo, instead scoring only the han for [[rinshan kaihou]].
* Depending on the [[Scoring variations#Rinshan Fu|scoring rules]] used, a hand won with a kan replacement tile may also be ineligible for the 2 fu for tsumo, instead scoring only the han for [[rinshan kaihou]].
* An open hand won by ron without any fu from koutsu or the waiting pattern (i.e. 20 fu) is forced to 30 fu. This is often described as being worth 2 fu for an open pinfu.
* An open hand won by ron without any fu from koutsu or the waiting pattern (i.e. 20 fu) is forced to 30 fu. This is often described as being worth 2 fu for an open pinfu.
==Maximal Score==
When a hand has multiple waits, or the same wait multiple ways, the way that leads to the highest-scoring hand must be chosen. This will always be the hand with the most [[han]]. This may not necessarily be the option that produces the most fu. The most common reason for this is to score [[pinfu]]. For instance:
:{{#mjt:23345789m567p44s}} Agari: {{#mjt:4m}}
If the hand is viewed as waiting on the ryanmen {{#mjt:23m}}, then it qualifies for pinfu. If, however, the hand is viewed as waiting on the kanchan {{#mtg:35m}}, then it does not. It must be scored as pinfu because that is worth more points.
Pinfu is not, however, the only example of this:
:{{#mjt:789m66678999p789s}} Agari: {{#mjt:5z}}
In this case, there are two options for interpreting the pinzu: either as {{#mjt:66p}}, {{#mjt:678p}}, and {{#mjt:999p}}, or as {{#mjt:666p}}, {{#mjt:789p}}, and {{#mjt:99p}}. Although the triplet of {{#mjt:9p}} is worth more fu, interpreting it as the triplet would deny [[sanshoku]], and so the hand must be interpreted as having the triplet of {{#mjt:6p}}.


== Extreme hands ==
== Extreme hands ==

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