Fu: Difference between revisions

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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 used. This is always the interpretation that scores the most han, but it may not score the most fu. The most common reason is for [[pinfu]].
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 used. This is always the interpretation that scores the most han, but it may not score the most fu. The most common reason is for [[pinfu]].


'''Example 1:'''
'''Example 1'''
:{{#mjt:23345m567p44678s}} Agari: {{#mjt:4m}}
:{{#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.
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 2:'''
'''Example 2'''
:{{#mjt:23345m567p446'78s}} Agari: {{#mjt:4m}}
:{{#mjt:23345m567p44s111z}} Tsumo: {{#mjt:4m}}


This is the same hand, except open. Pinfu cannot be scored when open. Therefore, the hand scores the +2 fu from the 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.
This is the same hand, except that one of the sequences is replaced with a triplet and thus does not qualify for pinfu. Therefore, the hand scores the +2 fu from the kanchan, because that is worth more points.  


'''Example 3:'''
'''Example 3'''


Pinfu is not the only example of this:
Pinfu is not the only example of this:
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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}}.
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}}.
'''Example 4'''
:{{#mjt:1123444m111p111s}} Ron: {{#mjt:1m}}
In this case, there are two options for interpreting the manzu:
#{{#mjt:11m}}, {{#mjt:123m}}, and {{#mjt:444m}}
#{{#mjt:111m}}, {{#mjt:234m}}, and {{#mjt:44m}}
Option 1 can qualify for sanankou and can be interpreted as tanki, therefore it is worth 2 han and (20+10+8+8+4+2=52, rounded up to) 60 fu in total.
Option 2 can qualify for sanshoku doukou, but because the hand is won by ron, the {{#mjt:111m}} must be interpreted as an open triplet and thus denies sanankou. Therefore it is worth 2 han and (20+10+8+8+4=) 50 fu in total.
Because two options have the same han, the hand must be interpreted as option 1 because it has the higher fu value and thus the more points.


== Example: 1 han 110 fu ==
== Example: 1 han 110 fu ==
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