Tile efficiency: Difference between revisions

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==Important concepts==
==Important concepts==
The general ideas of tile efficiency are:
The general ideas of tile efficiency are:
*Discard the tiles that have the fewest amount of upgrades
*Discard the tiles that contribute the least to tile acceptance / have the fewest amount of upgrades
*Prefer increasing tile acceptance at 1-shanten than before 1-shanten
*Try to get a good wait at [[tenpai]]
*Try to get a good wait at [[tenpai]]
*Prefer ryanmen over other types of joints
*Prefer ryanmen over other types of joints
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===Five-block theory===
===Five-block theory===
"Five-block theory" states that a standard winning hand has five "blocks" - four groups + one pair. Each joint and sequence in the hand is considered a block. Since pairs can turned into triplets, each pair is also a block. When a hand has 6 blocks, one of them will eventually need to be discarded. Thus, it is good to build hands with 5 blocks in mind (i.e., having 6+ blocks is redundant).
"Five-block theory" states that a standard winning hand has five "blocks" - four groups + one pair. Each joint and sequence in the hand is considered a block. Pairs are also considered a block, since they can be turned into a triplet. When a hand has 6 blocks, one of them will eventually need to be discarded. Thus, it is good to build hands with 5 blocks in mind (i.e., having 6+ blocks is redundant).


Example hand split into blocks:
Example hand split into blocks:
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If you have 4 pairs you might want to consider [[chiitoitsu]], but if a sequence or triplet forms, you should probably discard a pair and go for a normal hand. At 5 pairs, you're at 1-shanten for chiitoitsu, so you should likely go for that.
If you have 4 pairs you might want to consider [[chiitoitsu]], but if a sequence or triplet forms, you should probably discard a pair and go for a normal hand. At 5 pairs, you're at 1-shanten for chiitoitsu, so you should likely go for that.


==4+ tile complex joints==
==4+ tile complex shapes==
These shapes are made out of 4+ tiles.


===Sequence + Sequential tile===
===Sequence + Sequential tile===
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*{{#mjt:47p}} to create a pair. ({{#mjt:44567p}})
*{{#mjt:47p}} to create a pair. ({{#mjt:44567p}})


In other words, it is an ''extremely strong'' floating tile. The ryanmen acceptance is about twice that of a normal 4 or 7! Therefore, keeping this shape is very powerful if your hand's joints are not entirely composed out of ryanmen-or-better. It's also great to keep if you need a pair (even if you have all ryanmens).
In other words, it is an ''extremely strong'' floating tile. The ryanmen acceptance is about twice that of a normal 4 or 7! Therefore, keeping this shape is very powerful if your hand's joints are not entirely composed out of ryanmen-or-better. It's also great to keep if you need a pair (even if your hand has all ryanmens).


Note: When this shape contains a terminal tile (1 or 9), it becomes much worse. It's still good if you need a pair, but the ryanmen acceptance drops to a normal 4 or 7.
Note: When this shape contains a terminal tile (1 or 9), it becomes much worse. It's still good if you need a pair, but the ryanmen acceptance is halved, equal to a regular floating tile.


===Sequence + Middle tile===
===Sequence + Middle tile===
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Like the nobetan, the "bulging" shape can be seen as a floating 5, or a (45) ryanmen + (56) ryanmen. It accepts:
Like the nobetan, the "bulging" shape can be seen as a floating 5 or as (45) ryanmen + (56) ryanmen. It accepts:


*{{#mjt:3647p}} to create [[ryanmen]] + sequence ({{#mjt:345p}} + {{#mjt:56p}} / {{#mjt:44556p}})
*{{#mjt:3647p}} to create [[ryanmen]] + sequence ({{#mjt:345p}} + {{#mjt:56p}} / {{#mjt:44556p}})
*{{#mjt:5p}} to create a pair. ({{#mjt:456p}} + {{#mjt:55p}})
*{{#mjt:5p}} to create a pair. ({{#mjt:456p}} + {{#mjt:55p}})


There's no kanchan, so the acceptance is slightly worse than a nobetan. However, the ryanmen acceptance is still about twice that of normal floating tiles. Because this shape nearly guarantees 2 ryanmen when used, it's great if you're going for [[pinfu]]. The chance for [[iipeikou]] also helps. If you already have all ryanmens, there's not much need to keep the bulging shape intact (discard the middle tile).
There's no ability to create a kanchan, so the acceptance is slightly worse than a nobetan. However, the ryanmen acceptance is still about twice that of normal floating tiles. Because this shape nearly guarantees a ryanmen when accepting a tile, it's great if you're going for [[pinfu]]. The chance for [[iipeikou]] also helps. If your hand's joints are already ryanmen-or-better, there's not much need to keep the bulging shape intact (here, discard the middle tile).


Note: It's good to have a pair when you have a bulging shape. Also, like the nobetan, this shape becomes much worse if it contains a terminal tile.
Note: It's good to have a pair when you have a bulging shape. Also, like the nobetan, this shape becomes much worse if it contains a terminal tile.
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The 245679 accepts {{#mjt:3p}} or {{#mjt:8p}} to complete the 2nd sequence. Drawing a {{#mjt:5p}} or {{#mjt:6p}} upgrades it to a ryanmen.
* A {{#mjt:245679p}} can be split into ({{#mjt:24p}} + {{#mjt:567p}} + {{#mjt:9p}}) or ({{#mjt:2p}} + {{#mjt:456p}} + {{#mjt:79p}}). It combines 2 kanchan shapes, so it is essentially the same as ryankan.
: It accepts {{#mjt:3p}} or {{#mjt:8p}} to complete the 2nd sequence. Drawing a {{#mjt:5p}} or {{#mjt:6p}} upgrades it to a ryanmen.


The 455679 can be seen as 456 + 579 or as 45 + 567 + isolated 9. It accepts {{#mjt:368p}} to complete a second sequence.
 
* A {{#mjt:455679p}} can be seen as ({{#mjt:456p}} + {{#mjt:79p}}) or ({{#mjt:45p}} + {{#mjt:67p}} + {{#mjt:9p}}).
: It accepts {{#mjt:368p}} to complete a second sequence.


==Yaku==
==Yaku==
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