Saturday, August 3, 2019

All Last Comebacks

It's important to know how big of a hand you need in order to make a comeback (gyakuten) in All Last. I've prepared tables of the common hand scores with what point difference they can overcome when you tsumo them. And of course, I have a tool for practicing them!

A brief note on the fu values, in case you aren't familiar. A 20 fu hand will be a pinfu tsumo. A 30 fu hand will be a non-pinfu tsumo in most cases. A 40 fu hand will usually be a toitoi tsumo, or when you have two closed triplets where one of them is a terminal or honor, and has the same score as a 20 fu han with one more han (eg, a 3 han 40 fu hand is the same as a 4 han 20 fu hand). A 25 fu hand will, of course, be chiitoitsu.

Tsumo as Non-Dealer
Hand Score Non-dealer Difference Dealer Difference
1 han 30 fu 1400 1600
2 han 20 fu 1900 2200
2 han 30 fu 2500 3000
3 han 20 fu 3400 4000
3 han 25 fu 4000 4800
3 han 30 fu 5000 6000
4 han 20 fu 6500 7800
4 han 25 fu 8000 9600
4 han 30 fu 9900 11800
Mangan 10000 12000
Haneman 15000 18000
Baiman 20000 24000
Sanbaiman 30000 36000
Yakuman 40000 48000

To use this table, look at the difference of points between you and the next placement. For example, if you're in fourth place, check the difference with third place. If you have 20,000 points, and they have 23,900 points, the difference is 3900.

Then, go down the Non-dealer Difference or Dealer Difference column, depending on whether they are the dealer or not, and stop when you get to a number equal to or greater than the difference. In our example, that would be 4000, which is 3 han 25 fu if they're not the dealer, or 3 han 20 fu if they are. If our hand isn't in a good position for chiitoitsu, then we'll have to do 3 han 30 fu if they aren't the dealer.

Note that it will only work when the scores are equal if you win the tie break. If the difference is exactly 4000, but the seating means you lose the tie break, then you'll need to go to the next tier. Unless there's a riichi stick or a honba on the table. Make sure to consider those! Each honba effectively reduces the difference by 400 points (you gain 300 more, they lose 100 more), and each riichi stick reduces it by 1000.

Here's the table for when you're dealer. Note that, in most rulesets, the dealer will always lose tie breaks, so you might want to consider these numbers 100 lower than as written. At least you get dealer repeats!

Tsumo as Dealer
Hand Score Difference
1 han 30 fu 2000
2 han 20 fu 2800
2 han 30 fu 4000
3 han 20 fu 5200
3 han 25 fu 6400
3 han 30 fu 8000
4 han 20 fu 10400
4 han 25 fu 12800
4 han 30 fu 15600
Mangan 16000
Haneman 24000
Baiman 32000
Sanbaiman 48000
Yakuman 64000

For direct hits, if you're hitting the player in third, you'd need a score which is at least half of the difference between you two. If the difference is 5000, you'd need a 2500 ron at least, so a 2 han 30 ron (2600) works. If you're hitting a different player, you need to make up all of the difference, so a 3 han 30 ron (5200) in this case.

If you'd like to drill yourself on this, you can use the All Last Trainer in the Mahjong Efficiency Trainer and set the maximum fu to 30 or 40. Hands with more fu than that are pretty rare, anyway. Learning the higher fu counts could be useful if you find the chance to declare a closed kan, but for the most part, learning just these will be plenty.

Video Overview by Dasuke (22:48 to 31:00)

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