Fu: Difference between revisions

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==Counting Fu==
==Counting Fu==
===Tile groups===
===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).


{| class="wikitable"
{| class="wikitable"
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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.  
 
As for [[shanpon]], the fu generated with this pattern rests on the [[koutsu|tile groupings]] themselves as indicated in the above table.


{| class="wikitable"
{| class="wikitable"
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|-
|-
| Open wait || [[Ryanmen]] ||align=center| 0 fu
| Open wait || [[Ryanmen]] ||align=center| 0 fu
|-
| Dual pair wait || [[Shanpon]] ||align=center| 0 fu*
|-
|-
| Closed wait || [[Kanchan]] ||align=center| 2 fu
| Closed wait || [[Kanchan]] ||align=center| 2 fu
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| Pair wait || [[Tanki]] ||align=center| 2 fu
| Pair wait || [[Tanki]] ||align=center| 2 fu
|}
|}
<nowiki>*</nowiki> Gains fu by completing a triplet.
[[Complex waits]] can always be split into multiple types of basic wait. For example, a 23456 [[sanmentan]] can be considered as either as {23} wait or a {56} wait. Both these are ryanmen, so a sanmentan is considered a type of ryanmen wait. Other examples:
*A [[nobetan]] can be counted as two individual tanki waits, so it always scores 2 fu from tanki.
*A [[ryantan]] counts as ryanmen if it wins by completing the sequence, and a tanki if it wins by completing the pair.
*A 12345 sequence that wins off a 3 may count as either a {12} penchan wait or a {45} ryanmen wait.
When a hand can be interpreted in multiple ways, such the 12345 example above, the interpretation that scores the most points is used. In this example, it would be counted as a ryanmen if the hand could score [[pinfu]] (due to pinfu's +1 han), or a penchan otherwise (due to +2 fu). See below for more information.


===Yakuhai pair===
===Yakuhai pair===
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==Maximal Score==
==Maximal Score==
When a hand can be interpreted to have won with multiple different types of basic wait, the interpretation that scores the most final points is always used. This is always the interpretation that scores the most han; it may not score the most fu. The most common reason for this is for [[pinfu]].
'''Example 1:'''
:{{#mjt:23345m567p44678s}} 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 {{#mjt:35m}}, then it does not. It must be scored as pinfu because that is worth more points.


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:
'''Example 2:'''
:{{#mjt:23345m567p446'78s}} Agari: {{#mjt:4m}}


:{{#mjt:23345789m567p44s}} Agari: {{#mjt:4m}}
This is the same hand, except open. Pinfu cannot be scored when open. Therefore, the hand scores the +2 fu from kanchan, because that is worth more points. For this hand there is no functional difference (the hand ends up rounding to 30 fu either way), but it can matter for other hand compositions.


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 {{#mjt:35m}}, then it does not. It must be scored as pinfu because that is worth more points.
'''Example 3:'''


Pinfu is not, however, the only example of this:
Pinfu is not the only example of this:


:{{#mjt:789m66678999p789s}} Agari: {{#mjt:5z}}
:{{#mjt:789m66678999p789s}} Agari: {{#mjt:5z}}
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