Replay Examination

Generated by mjai-reviewer

Layout:

Game Summary
  1. East 1
  2. East 2
  3. East 3
  4. East 3-1
  5. East 3-2
  6. East 4
  7. South 1
  8. South 2
  9. South 2-1
  10. South 3
  11. South 3-1
  12. South 4
  13. South 4-1
  1. Tsumo by Toimen👆13000
  2. Ron by Kamicha👈3000
  3. Ryuukyoku
  4. Ryuukyoku
  5. Tsumo by Kamicha👈10600
  6. Tsumo by Shimocha👉8400
  7. Ron by Toimen👆2000
  8. Tsumo by Self👇19000
  9. Ron by Shimocha👉4200
  10. Ron by Shimocha👉4900
  11. Ron by Self👇6200
  12. Ron by Toimen👆5800
  13. Ron by Shimocha👉5500
Metadata
engine
Mortal
game length
Hanchan
player id
1
log id
2020030901gm-0029-0000-7a308c98
loading time
5ms 40us 900ns
review time
10s 347ms 238us
rating
87.222
mjai-reviewer version
1.0.2
generated at
2022-07-05 23:45:48
FAQ Online FAQ

Tsumo by Toimen👆13000

Replay viewer
Final placement EV at East 1 start
\( \Phi_{ 0 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 0 }^{self}] = 0.08628 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇2500024.5605125.5715225.0343624.83361
Shimocha👉2500024.2644425.6533325.0807325.00150
Toimen👆2500026.3863123.3977224.8041725.41180
Kamicha👈2500024.7887325.3774325.0807424.75309
Turn 1    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 0 }, a_{ 0 }^{ 0 }) \) \( \hat Q^\pi(s_{ 0 }^{ 0 }, a_{ 0 }^{ 0 }) + \Phi_{ 0 } \)
Discard 1.081831.16810
Discard -21.41372-21.32744
Discard -26.42863-26.34235
Discard -31.04928-30.96301
Discard -37.70816-37.62188
Discard -39.69861-39.61233
Discard -46.73688-46.65061
Discard -46.75546-46.66919
Discard -46.77712-46.69084
Discard -47.23389-47.14762
Discard -49.64917-49.56289
Discard -49.95375-49.86747
Turn 2    3 shanten    #3/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 1 }, a_{ 0 }^{ 1 }) \) \( \hat Q^\pi(s_{ 0 }^{ 1 }, a_{ 0 }^{ 1 }) + \Phi_{ 0 } \)
Discard 0.220280.30655
Discard -6.15628-6.07000
Discard -9.50507-9.41880
Discard -28.56323-28.47696
Discard -29.74838-29.66210
Discard -31.10067-31.01439
Discard -38.55998-38.47370
Discard -39.59954-39.51326
Discard -40.77898-40.69270
Discard -41.07745-40.99118
Discard -42.23615-42.14987
Discard -42.99221-42.90594
Turn 2    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 0 }^{ 2 }, a_{ 0 }^{ 2 }) \) \( \hat Q^\pi(s_{ 0 }^{ 2 }, a_{ 0 }^{ 2 }) + \Phi_{ 0 } \)
Pass-0.74191-0.65564
Chii-105.27724-105.19096
Turn 3    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 3 }, a_{ 0 }^{ 3 }) \) \( \hat Q^\pi(s_{ 0 }^{ 3 }, a_{ 0 }^{ 3 }) + \Phi_{ 0 } \)
Discard -0.58673-0.50045
Discard -6.14933-6.06305
Discard -28.68952-28.60325
Discard -29.67856-29.59229
Discard -32.27391-32.18764
Discard -36.01748-35.93120
Discard -38.28716-38.20088
Discard -39.89580-39.80952
Discard -41.05568-40.96940
Discard -41.38612-41.29985
Discard -41.72952-41.64324
Discard -44.66194-44.57567
Turn 4    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 4 }, a_{ 0 }^{ 4 }) \) \( \hat Q^\pi(s_{ 0 }^{ 4 }, a_{ 0 }^{ 4 }) + \Phi_{ 0 } \)
Discard 2.331042.41732
Discard -23.44097-23.35470
Discard -31.10907-31.02279
Discard -32.67148-32.58521
Discard -34.01845-33.93217
Discard -34.78901-34.70274
Discard -40.51416-40.42789
Discard -41.38238-41.29610
Discard -41.40956-41.32328
Discard -43.14780-43.06153
Discard -43.73389-43.64762
Turn 4    2 shanten    #2/2
Player: Pass
Mortal: Pon
Action \( \hat Q^\pi(s_{ 0 }^{ 5 }, a_{ 0 }^{ 5 }) \) \( \hat Q^\pi(s_{ 0 }^{ 5 }, a_{ 0 }^{ 5 }) + \Phi_{ 0 } \)
Pon2.662492.74876
Pass0.133610.21988
Turn 5    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 6 }, a_{ 0 }^{ 6 }) \) \( \hat Q^\pi(s_{ 0 }^{ 6 }, a_{ 0 }^{ 6 }) + \Phi_{ 0 } \)
Discard 3.353013.43928
Discard -1.74011-1.65383
Discard -6.62848-6.54221
Discard -13.36486-13.27858
Discard -22.85249-22.76621
Discard -29.25349-29.16722
Discard -30.16029-30.07401
Discard -31.11830-31.03202
Discard -31.27163-31.18535
Discard -33.10234-33.01606
Discard -34.03854-33.95226
Turn 6    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 7 }, a_{ 0 }^{ 7 }) \) \( \hat Q^\pi(s_{ 0 }^{ 7 }, a_{ 0 }^{ 7 }) + \Phi_{ 0 } \)
Discard 11.2100011.29627
Discard -26.90153-26.81525
Discard -32.70273-32.61645
Discard -36.23088-36.14461
Discard -38.56435-38.47807
Discard -43.41717-43.33090
Discard -43.45463-43.36836
Discard -43.67086-43.58459
Discard -43.75775-43.67147
Discard -45.40434-45.31806
Discard -46.92743-46.84115
Discard -47.99458-47.90831
Turn 6    1 shanten   
Player: Pon
Mortal: Pon
Action \( \hat Q^\pi(s_{ 0 }^{ 8 }, a_{ 0 }^{ 8 }) \) \( \hat Q^\pi(s_{ 0 }^{ 8 }, a_{ 0 }^{ 8 }) + \Phi_{ 0 } \)
Pon10.9426911.02897
Pass-3.05517-2.96889
Turn 7    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 9 }, a_{ 0 }^{ 9 }) \) \( \hat Q^\pi(s_{ 0 }^{ 9 }, a_{ 0 }^{ 9 }) + \Phi_{ 0 } \)
Discard 12.0304812.11675
Discard -30.94862-30.86234
Discard -33.52296-33.43668
Discard -37.95185-37.86558
Discard -39.35657-39.27029
Discard -39.42414-39.33786
Discard -41.17253-41.08626
Discard -41.85762-41.77134
Discard -43.19924-43.11297
Discard -43.36898-43.28271
Turn 8    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 10 }, a_{ 0 }^{ 10 }) \) \( \hat Q^\pi(s_{ 0 }^{ 10 }, a_{ 0 }^{ 10 }) + \Phi_{ 0 } \)
Discard 13.4086813.49496
Discard -9.18906-9.10278
Discard -16.96823-16.88195
Discard -32.18825-32.10198
Discard -35.37606-35.28978
Discard -37.65008-37.56380
Discard -38.34395-38.25768
Discard -39.83387-39.74760
Discard -40.15485-40.06858
Turn 9    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 11 }, a_{ 0 }^{ 11 }) \) \( \hat Q^\pi(s_{ 0 }^{ 11 }, a_{ 0 }^{ 11 }) + \Phi_{ 0 } \)
Discard 5.993046.07932
Discard -37.89574-37.80947
Discard -44.77708-44.69081
Discard -45.94249-45.85622
Discard -46.54804-46.46177
Discard -47.87798-47.79170
Discard -47.92370-47.83743
Discard -49.66121-49.57494
Discard -50.30551-50.21924
Discard -52.34483-52.25856
Turn 10    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 12 }, a_{ 0 }^{ 12 }) \) \( \hat Q^\pi(s_{ 0 }^{ 12 }, a_{ 0 }^{ 12 }) + \Phi_{ 0 } \)
Discard 5.067305.15357
Discard -42.17701-42.09073
Discard -43.43968-43.35341
Discard -44.43772-44.35145
Discard -47.23081-47.14454
Discard -48.08055-47.99427
Discard -49.42498-49.33870
Discard -49.88277-49.79649
Discard -50.14740-50.06112
Discard -52.45948-52.37321
Turn 10    tenpai   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 0 }^{ 13 }, a_{ 0 }^{ 13 }) \) \( \hat Q^\pi(s_{ 0 }^{ 13 }, a_{ 0 }^{ 13 }) + \Phi_{ 0 } \)
Pass4.081054.16733
Chii-89.58582-89.49955
Turn 11    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 14 }, a_{ 0 }^{ 14 }) \) \( \hat Q^\pi(s_{ 0 }^{ 14 }, a_{ 0 }^{ 14 }) + \Phi_{ 0 } \)
Discard 5.369185.45546
Discard -42.69426-42.60798
Discard -48.07735-47.99107
Discard -48.92934-48.84306
Discard -49.05766-48.97139
Discard -49.20405-49.11777
Discard -50.06290-49.97663
Discard -51.10247-51.01619
Discard -52.28828-52.20201
Discard -53.43311-53.34684
Turn 12    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 15 }, a_{ 0 }^{ 15 }) \) \( \hat Q^\pi(s_{ 0 }^{ 15 }, a_{ 0 }^{ 15 }) + \Phi_{ 0 } \)
Discard -3.13144-3.04517
Discard -11.39547-11.30919
Discard -28.31762-28.23134
Discard -34.07753-33.99126
Discard -37.35580-37.26953
Discard -38.30513-38.21886
Discard -39.90390-39.81763
Discard -40.00288-39.91660
Discard -44.32168-44.23541
Discard -46.72488-46.63860
Turn 12    tenpai   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 0 }^{ 16 }, a_{ 0 }^{ 16 }) \) \( \hat Q^\pi(s_{ 0 }^{ 16 }, a_{ 0 }^{ 16 }) + \Phi_{ 0 } \)
Pass4.424944.51121
Pon-33.31830-33.23202
Turn 13    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 0 }^{ 17 }, a_{ 0 }^{ 17 }) \) \( \hat Q^\pi(s_{ 0 }^{ 17 }, a_{ 0 }^{ 17 }) + \Phi_{ 0 } \)
Discard 5.041145.12742
Discard -40.30851-40.22223
Discard -48.98029-48.89401
Discard -49.38630-49.30002
Discard -50.02056-49.93428
Discard -50.37340-50.28713
Discard -50.64339-50.55712
Discard -51.30509-51.21881
Discard -51.85077-51.76449
Discard -53.06543-52.97915

Ron by Kamicha👈3000

Replay viewer
Final placement EV at East 2 start
\( \Phi_{ 1 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 1 }^{self}] = -12.79071 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇2200015.8857325.6798829.8093328.62505
Shimocha👉2200016.1583026.6151729.3154027.91112
Toimen👆3700056.6979326.5295911.406475.36601
Kamicha👈1900011.2580321.1753529.4688038.09782
Turn 1    5 shanten    #2/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 0 }, a_{ 1 }^{ 0 }) \) \( \hat Q^\pi(s_{ 1 }^{ 0 }, a_{ 1 }^{ 0 }) + \Phi_{ 1 } \)
Discard -6.64870-19.43941
Discard -13.91514-26.70584
Discard -34.01030-46.80101
Discard -36.64018-49.43088
Discard -42.74592-55.53662
Discard -43.66630-56.45701
Discard -43.75070-56.54141
Discard -46.81783-59.60854
Discard -47.46721-60.25792
Discard -47.64403-60.43474
Discard -48.64193-61.43264
Discard -49.01076-61.80147
Discard -49.79778-62.58848
Turn 2    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 1 }, a_{ 1 }^{ 1 }) \) \( \hat Q^\pi(s_{ 1 }^{ 1 }, a_{ 1 }^{ 1 }) + \Phi_{ 1 } \)
Discard -6.18363-18.97434
Discard -18.19987-30.99058
Discard -20.54421-33.33491
Discard -33.07615-45.86686
Discard -36.65684-49.44754
Discard -38.90210-51.69281
Discard -39.93549-52.72620
Discard -40.26109-53.05179
Discard -41.35920-54.14990
Discard -41.76182-54.55252
Discard -44.26117-57.05187
Discard -44.65293-57.44364
Turn 3    4 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 2 }, a_{ 1 }^{ 2 }) \) \( \hat Q^\pi(s_{ 1 }^{ 2 }, a_{ 1 }^{ 2 }) + \Phi_{ 1 } \)
Discard -6.70556-19.49626
Discard -8.20714-20.99785
Discard -14.64361-27.43432
Discard -31.23123-44.02194
Discard -33.11322-45.90392
Discard -35.49677-48.28748
Discard -36.99035-49.78105
Discard -37.39287-50.18357
Discard -38.48058-51.27129
Discard -38.78380-51.57450
Discard -39.09417-51.88488
Discard -39.72339-52.51409
Turn 4    3 shanten    #2/11
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 3 }, a_{ 1 }^{ 3 }) \) \( \hat Q^\pi(s_{ 1 }^{ 3 }, a_{ 1 }^{ 3 }) + \Phi_{ 1 } \)
Discard -6.49101-19.28171
Discard -9.83872-22.62943
Discard -23.46542-36.25613
Discard -28.42579-41.21649
Discard -32.88549-45.67619
Discard -35.12878-47.91948
Discard -35.52724-48.31794
Discard -35.74625-48.53696
Discard -36.45378-49.24449
Discard -36.81605-49.60676
Discard -40.93958-53.73029
Turn 5    3 shanten    #3/11
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 4 }, a_{ 1 }^{ 4 }) \) \( \hat Q^\pi(s_{ 1 }^{ 4 }, a_{ 1 }^{ 4 }) + \Phi_{ 1 } \)
Discard -7.84100-20.63171
Discard -8.22677-21.01748
Discard -11.94328-24.73398
Discard -25.18132-37.97202
Discard -26.30870-39.09941
Discard -27.48026-40.27097
Discard -29.49078-42.28149
Discard -32.42820-45.21891
Discard -32.78576-45.57647
Discard -32.97759-45.76829
Discard -36.59999-49.39069
Turn 6    3 shanten    #2/11
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 5 }, a_{ 1 }^{ 5 }) \) \( \hat Q^\pi(s_{ 1 }^{ 5 }, a_{ 1 }^{ 5 }) + \Phi_{ 1 } \)
Discard -8.46733-21.25803
Discard -9.51166-22.30237
Discard -12.33634-25.12705
Discard -13.23968-26.03038
Discard -15.42568-28.21639
Discard -26.83704-39.62775
Discard -28.79875-41.58945
Discard -28.99846-41.78917
Discard -29.07650-41.86721
Discard -29.18360-41.97430
Discard -32.83711-45.62782
Turn 6    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 1 }^{ 6 }, a_{ 1 }^{ 6 }) \) \( \hat Q^\pi(s_{ 1 }^{ 6 }, a_{ 1 }^{ 6 }) + \Phi_{ 1 } \)
Pass-7.45741-20.24812
Pon-17.02421-29.81491
Turn 7    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 7 }, a_{ 1 }^{ 7 }) \) \( \hat Q^\pi(s_{ 1 }^{ 7 }, a_{ 1 }^{ 7 }) + \Phi_{ 1 } \)
Discard -6.90469-19.69540
Discard -8.57605-21.36676
Discard -13.51300-26.30370
Discard -14.79366-27.58437
Discard -15.71962-28.51033
Discard -25.15304-37.94375
Discard -30.03063-42.82134
Discard -31.97743-44.76813
Discard -32.63842-45.42912
Discard -33.69085-46.48155
Discard -34.93925-47.72996
Turn 8    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 8 }, a_{ 1 }^{ 8 }) \) \( \hat Q^\pi(s_{ 1 }^{ 8 }, a_{ 1 }^{ 8 }) + \Phi_{ 1 } \)
Discard -7.57786-20.36856
Discard -11.73854-24.52925
Discard -15.03575-27.82646
Discard -19.82933-32.62004
Discard -21.47575-34.26645
Discard -25.64093-38.43164
Discard -30.34268-43.13338
Discard -30.36897-43.15968
Discard -30.64686-43.43756
Discard -34.40655-47.19726
Discard -35.60168-48.39239
Turn 8    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 1 }^{ 9 }, a_{ 1 }^{ 9 }) \) \( \hat Q^\pi(s_{ 1 }^{ 9 }, a_{ 1 }^{ 9 }) + \Phi_{ 1 } \)
Pass-7.79010-20.58081
Chii-17.01646-29.80717
Turn 9    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 10 }, a_{ 1 }^{ 10 }) \) \( \hat Q^\pi(s_{ 1 }^{ 10 }, a_{ 1 }^{ 10 }) + \Phi_{ 1 } \)
Discard -6.75476-19.54547
Discard -7.12804-19.91875
Discard -19.33057-32.12128
Discard -21.51608-34.30679
Discard -25.52132-38.31203
Discard -26.11753-38.90823
Discard -30.06408-42.85478
Discard -30.88463-43.67533
Discard -31.86545-44.65616
Discard -32.43589-45.22659
Discard -37.91954-50.71025
Turn 10    2 shanten    #2/11
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 11 }, a_{ 1 }^{ 11 }) \) \( \hat Q^\pi(s_{ 1 }^{ 11 }, a_{ 1 }^{ 11 }) + \Phi_{ 1 } \)
Discard -7.01872-19.80943
Discard -17.64382-30.43452
Discard -23.84812-36.63883
Discard -24.84340-37.63411
Discard -24.84707-37.63778
Discard -24.85387-37.64457
Discard -24.93673-37.72744
Discard -30.00203-42.79274
Discard -33.58998-46.38069
Discard -34.25244-47.04315
Discard -39.71212-52.50283
Turn 11    2 shanten    #2/10
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 12 }, a_{ 1 }^{ 12 }) \) \( \hat Q^\pi(s_{ 1 }^{ 12 }, a_{ 1 }^{ 12 }) + \Phi_{ 1 } \)
Discard -4.25095-17.04166
Discard -18.79594-31.58664
Discard -20.90814-33.69884
Discard -25.53265-38.32335
Discard -35.51685-48.30756
Discard -35.58440-48.37510
Discard -35.65916-48.44987
Discard -36.42440-49.21511
Discard -37.35658-50.14728
Discard -39.26329-52.05400
Turn 11    1 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 1 }^{ 13 }, a_{ 1 }^{ 13 }) \) \( \hat Q^\pi(s_{ 1 }^{ 13 }, a_{ 1 }^{ 13 }) + \Phi_{ 1 } \)
Pass-3.04536-15.83607
Chii-51.56594-64.35665
Turn 12    1 shanten    #2/10
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 14 }, a_{ 1 }^{ 14 }) \) \( \hat Q^\pi(s_{ 1 }^{ 14 }, a_{ 1 }^{ 14 }) + \Phi_{ 1 } \)
Discard -4.11127-16.90198
Discard -7.16744-19.95814
Discard -20.96128-33.75199
Discard -22.64162-35.43232
Discard -32.25015-45.04085
Discard -33.87673-46.66744
Discard -34.79123-47.58193
Discard -35.04147-47.83218
Discard -35.99364-48.78434
Discard -36.14921-48.93991
Turn 13    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 15 }, a_{ 1 }^{ 15 }) \) \( \hat Q^\pi(s_{ 1 }^{ 15 }, a_{ 1 }^{ 15 }) + \Phi_{ 1 } \)
Discard -9.41181-22.20252
Discard -31.63022-44.42092
Discard -48.02980-60.82050
Discard -48.21727-61.00798
Discard -51.01591-63.80661
Discard -52.08904-64.87974
Discard -52.22758-65.01828
Discard -52.48801-65.27871
Discard -54.57583-67.36653
Discard -54.71103-67.50174
Turn 13    1 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 1 }^{ 16 }, a_{ 1 }^{ 16 }) \) \( \hat Q^\pi(s_{ 1 }^{ 16 }, a_{ 1 }^{ 16 }) + \Phi_{ 1 } \)
Pass-7.38130-20.17201
Pon-29.32367-42.11438
Turn 14    1 shanten    #3/9
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 1 }^{ 17 }, a_{ 1 }^{ 17 }) \) \( \hat Q^\pi(s_{ 1 }^{ 17 }, a_{ 1 }^{ 17 }) + \Phi_{ 1 } \)
Discard -8.77335-21.56406
Discard -20.47801-33.26871
Discard -28.64387-41.43458
Discard -40.82539-53.61610
Discard -41.25224-54.04295
Discard -44.15726-56.94797
Discard -45.46689-58.25759
Discard -45.54630-58.33700
Discard -45.65499-58.44569

Ryuukyoku

Replay viewer
Final placement EV at East 3 start
\( \Phi_{ 2 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 2 }^{self}] = -14.93533 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇2200015.4606825.2587629.4906529.78991
Shimocha👉2200016.6958325.0235828.4311029.84949
Toimen👆3500053.6180726.9421513.038216.40156
Kamicha👈2100014.2254222.7755129.0400433.95903
Turn 1    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 0 }, a_{ 2 }^{ 0 }) \) \( \hat Q^\pi(s_{ 2 }^{ 0 }, a_{ 2 }^{ 0 }) + \Phi_{ 2 } \)
Discard 3.32387-11.61147
Discard -2.29613-17.23146
Discard -4.37684-19.31217
Discard -27.99767-42.93300
Discard -33.42800-48.36333
Discard -36.58740-51.52273
Discard -39.60883-54.54416
Discard -40.40092-55.33626
Discard -40.69905-55.63438
Discard -42.99575-57.93108
Discard -43.69614-58.63147
Turn 2    3 shanten    #2/11
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 1 }, a_{ 2 }^{ 1 }) \) \( \hat Q^\pi(s_{ 2 }^{ 1 }, a_{ 2 }^{ 1 }) + \Phi_{ 2 } \)
Discard 4.59627-10.33907
Discard 4.20945-10.72588
Discard -26.67314-41.60847
Discard -34.30067-49.23600
Discard -34.43435-49.36968
Discard -36.27853-51.21386
Discard -39.04194-53.97727
Discard -39.16962-54.10495
Discard -39.43566-54.37099
Discard -41.01054-55.94588
Discard -43.12972-58.06505
Turn 3    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 2 }, a_{ 2 }^{ 2 }) \) \( \hat Q^\pi(s_{ 2 }^{ 2 }, a_{ 2 }^{ 2 }) + \Phi_{ 2 } \)
Discard 2.14085-12.79449
Discard -8.59417-23.52950
Discard -32.20533-47.14067
Discard -37.55052-52.48585
Discard -38.55847-53.49380
Discard -39.84975-54.78509
Discard -43.52036-58.45570
Discard -43.72234-58.65767
Discard -44.25285-59.18819
Discard -45.48390-60.41923
Discard -48.08846-63.02379
Turn 4    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 3 }, a_{ 2 }^{ 3 }) \) \( \hat Q^\pi(s_{ 2 }^{ 3 }, a_{ 2 }^{ 3 }) + \Phi_{ 2 } \)
Discard 5.01972-9.91561
Discard -11.77811-26.71344
Discard -24.40499-39.34032
Discard -39.48861-54.42395
Discard -41.42023-56.35556
Discard -43.75635-58.69168
Discard -44.02764-58.96297
Discard -45.05420-59.98953
Discard -45.70938-60.64471
Discard -46.13913-61.07446
Discard -46.44305-61.37838
Turn 5    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 4 }, a_{ 2 }^{ 4 }) \) \( \hat Q^\pi(s_{ 2 }^{ 4 }, a_{ 2 }^{ 4 }) + \Phi_{ 2 } \)
Discard 5.14680-9.78853
Discard -2.75152-17.68685
Discard -27.78278-42.71811
Discard -30.53788-45.47321
Discard -32.64090-47.57623
Discard -35.83954-50.77487
Discard -38.06148-52.99681
Discard -39.76554-54.70087
Discard -40.30292-55.23825
Discard -41.12825-56.06358
Turn 6    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 5 }, a_{ 2 }^{ 5 }) \) \( \hat Q^\pi(s_{ 2 }^{ 5 }, a_{ 2 }^{ 5 }) + \Phi_{ 2 } \)
Discard 4.51172-10.42361
Discard -17.74025-32.67558
Discard -35.06538-50.00072
Discard -35.30483-50.24016
Discard -37.58092-52.51626
Discard -41.48379-56.41912
Discard -43.70243-58.63777
Discard -46.22310-61.15843
Discard -46.34831-61.28364
Discard -46.82171-61.75704
Turn 6    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 2 }^{ 6 }, a_{ 2 }^{ 6 }) \) \( \hat Q^\pi(s_{ 2 }^{ 6 }, a_{ 2 }^{ 6 }) + \Phi_{ 2 } \)
Pass4.76942-10.16591
Chii1.73087-13.20446
Turn 7    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 7 }, a_{ 2 }^{ 7 }) \) \( \hat Q^\pi(s_{ 2 }^{ 7 }, a_{ 2 }^{ 7 }) + \Phi_{ 2 } \)
Discard 2.45490-12.48044
Discard -18.22423-33.15957
Discard -36.95980-51.89513
Discard -37.20705-52.14238
Discard -39.61155-54.54689
Discard -43.79029-58.72562
Discard -45.57831-60.51364
Discard -47.90798-62.84331
Discard -48.15370-63.08903
Discard -48.33016-63.26549
Turn 7    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 2 }^{ 8 }, a_{ 2 }^{ 8 }) \) \( \hat Q^\pi(s_{ 2 }^{ 8 }, a_{ 2 }^{ 8 }) + \Phi_{ 2 } \)
Pass2.46917-12.46616
Pon-58.01982-72.95515
Turn 8    2 shanten    #4/9
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 9 }, a_{ 2 }^{ 9 }) \) \( \hat Q^\pi(s_{ 2 }^{ 9 }, a_{ 2 }^{ 9 }) + \Phi_{ 2 } \)
Discard 3.67574-11.25959
Discard -36.33114-51.26647
Discard -36.78920-51.72453
Discard -37.24503-52.18037
Discard -42.87917-57.81450
Discard -43.17501-58.11034
Discard -45.27200-60.20733
Discard -47.27454-62.20988
Discard -48.41931-63.35464
Turn 9    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 10 }, a_{ 2 }^{ 10 }) \) \( \hat Q^\pi(s_{ 2 }^{ 10 }, a_{ 2 }^{ 10 }) + \Phi_{ 2 } \)
Discard 3.52972-11.40561
Discard -4.16973-19.10507
Discard -35.15160-50.08693
Discard -39.07333-54.00866
Discard -39.35614-54.29148
Discard -39.94127-54.87660
Discard -40.07068-55.00601
Discard -42.88787-57.82321
Discard -43.34800-58.28333
Discard -44.71030-59.64563
Turn 9    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 2 }^{ 11 }, a_{ 2 }^{ 11 }) \) \( \hat Q^\pi(s_{ 2 }^{ 11 }, a_{ 2 }^{ 11 }) + \Phi_{ 2 } \)
Pass2.76662-12.16871
Pon-11.88626-26.82160
Kan -14.76273-29.69806
Turn 9    2 shanten   
Player: Chii
Mortal: Chii
Action \( \hat Q^\pi(s_{ 2 }^{ 12 }, a_{ 2 }^{ 12 }) \) \( \hat Q^\pi(s_{ 2 }^{ 12 }, a_{ 2 }^{ 12 }) + \Phi_{ 2 } \)
Chii8.57929-6.35605
Pass-11.75660-26.69193
Turn 10    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 13 }, a_{ 2 }^{ 13 }) \) \( \hat Q^\pi(s_{ 2 }^{ 13 }, a_{ 2 }^{ 13 }) + \Phi_{ 2 } \)
Discard 7.68826-7.24707
Discard -38.31801-53.25334
Discard -39.29474-54.23007
Discard -44.54792-59.48325
Discard -45.94168-60.87702
Discard -46.05150-60.98683
Discard -46.15748-61.09281
Turn 11    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 14 }, a_{ 2 }^{ 14 }) \) \( \hat Q^\pi(s_{ 2 }^{ 14 }, a_{ 2 }^{ 14 }) + \Phi_{ 2 } \)
Discard 5.90568-9.02965
Discard -21.10852-36.04385
Discard -34.75624-49.69157
Discard -38.27449-53.20982
Discard -38.60191-53.53724
Discard -44.78008-59.71541
Discard -45.24209-60.17742
Turn 12    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 15 }, a_{ 2 }^{ 15 }) \) \( \hat Q^\pi(s_{ 2 }^{ 15 }, a_{ 2 }^{ 15 }) + \Phi_{ 2 } \)
Discard 4.17207-10.76326
Discard -27.48838-42.42371
Discard -35.92729-50.86262
Discard -38.29345-53.22878
Discard -40.95549-55.89082
Discard -45.51994-60.45527
Discard -45.99836-60.93370
Turn 13    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 16 }, a_{ 2 }^{ 16 }) \) \( \hat Q^\pi(s_{ 2 }^{ 16 }, a_{ 2 }^{ 16 }) + \Phi_{ 2 } \)
Discard 3.22722-11.70812
Discard -24.67440-39.60973
Discard -31.80117-46.73651
Discard -36.31343-51.24876
Discard -39.33621-54.27154
Discard -43.07354-58.00887
Discard -43.52261-58.45795
Turn 14    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 17 }, a_{ 2 }^{ 17 }) \) \( \hat Q^\pi(s_{ 2 }^{ 17 }, a_{ 2 }^{ 17 }) + \Phi_{ 2 } \)
Discard 1.82102-13.11431
Discard -30.12405-45.05938
Discard -37.42630-52.36164
Discard -39.07778-54.01311
Discard -40.25514-55.19047
Discard -44.14716-59.08249
Discard -44.77372-59.70905
Turn 15    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 18 }, a_{ 2 }^{ 18 }) \) \( \hat Q^\pi(s_{ 2 }^{ 18 }, a_{ 2 }^{ 18 }) + \Phi_{ 2 } \)
Discard 0.64918-14.28615
Discard -30.17884-45.11417
Discard -38.96944-53.90477
Discard -39.53716-54.47249
Discard -40.29101-55.22634
Discard -44.74796-59.68330
Discard -45.15582-60.09115
Turn 16    1 shanten    #2/7
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 19 }, a_{ 2 }^{ 19 }) \) \( \hat Q^\pi(s_{ 2 }^{ 19 }, a_{ 2 }^{ 19 }) + \Phi_{ 2 } \)
Discard 6.08206-8.85327
Discard -9.99243-24.92776
Discard -29.93564-44.87097
Discard -31.15647-46.09180
Discard -34.03793-48.97326
Discard -34.34249-49.27783
Discard -35.16975-50.10509
Turn 16    tenpai   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 2 }^{ 20 }, a_{ 2 }^{ 20 }) \) \( \hat Q^\pi(s_{ 2 }^{ 20 }, a_{ 2 }^{ 20 }) + \Phi_{ 2 } \)
Pass9.30876-5.62657
Pon-29.46873-44.40406
Turn 17    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 21 }, a_{ 2 }^{ 21 }) \) \( \hat Q^\pi(s_{ 2 }^{ 21 }, a_{ 2 }^{ 21 }) + \Phi_{ 2 } \)
Discard 8.65429-6.28104
Discard -47.02802-61.96335
Discard -49.74302-64.67835
Discard -51.25712-66.19245
Discard -51.72799-66.66332
Discard -53.10793-68.04327
Discard -53.63656-68.57189
Discard -54.81667-69.75200
Turn 18    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 2 }^{ 22 }, a_{ 2 }^{ 22 }) \) \( \hat Q^\pi(s_{ 2 }^{ 22 }, a_{ 2 }^{ 22 }) + \Phi_{ 2 } \)
Discard -1.27872-16.21406
Discard -17.17591-32.11125
Discard -24.05823-38.99356
Discard -28.57634-43.51168
Discard -33.40197-48.33731
Discard -34.32694-49.26227
Discard -35.06563-50.00096
Discard -37.77006-52.70539

Ryuukyoku

Replay viewer
Final placement EV at East 3-1 start
\( \Phi_{ 3 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 3 }^{self}] = -15.38591 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇2200015.4288125.1041929.4160930.05091
Shimocha👉2200016.4375225.1646428.4947629.90308
Toimen👆3500053.9628126.8282012.897906.31109
Kamicha👈2100014.1708622.9029729.1912533.73492
Turn 1    3 shanten    #2/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 0 }, a_{ 3 }^{ 0 }) \) \( \hat Q^\pi(s_{ 3 }^{ 0 }, a_{ 3 }^{ 0 }) + \Phi_{ 3 } \)
Discard -3.48375-18.86966
Discard -4.38169-19.76761
Discard -17.14866-32.53457
Discard -28.46407-43.84999
Discard -33.58069-48.96660
Discard -35.41877-50.80468
Discard -36.20895-51.59486
Discard -39.58564-54.97155
Discard -40.23249-55.61840
Discard -40.62420-56.01011
Discard -41.42471-56.81062
Discard -41.47834-56.86425
Discard -41.70118-57.08709
Turn 1    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 1 }, a_{ 3 }^{ 1 }) \) \( \hat Q^\pi(s_{ 3 }^{ 1 }, a_{ 3 }^{ 1 }) + \Phi_{ 3 } \)
Pass-4.57576-19.96168
Chii-48.04411-63.43002
Turn 2    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 2 }, a_{ 3 }^{ 2 }) \) \( \hat Q^\pi(s_{ 3 }^{ 2 }, a_{ 3 }^{ 2 }) + \Phi_{ 3 } \)
Discard -4.33677-19.72268
Discard -17.81155-33.19746
Discard -26.31030-41.69621
Discard -35.79093-51.17684
Discard -35.82152-51.20743
Discard -42.29801-57.68392
Discard -42.86319-58.24910
Discard -42.99184-58.37775
Discard -43.64426-59.03017
Discard -45.04753-60.43344
Discard -46.28115-61.66706
Discard -46.82525-62.21116
Turn 3    3 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 3 }, a_{ 3 }^{ 3 }) \) \( \hat Q^\pi(s_{ 3 }^{ 3 }, a_{ 3 }^{ 3 }) + \Phi_{ 3 } \)
Discard -3.74763-19.13355
Discard -3.94639-19.33230
Discard -24.17222-39.55813
Discard -26.06688-41.45280
Discard -36.60241-51.98832
Discard -36.92450-52.31042
Discard -39.04713-54.43304
Discard -39.63615-55.02206
Discard -39.70853-55.09444
Discard -40.39277-55.77868
Discard -40.73881-56.12472
Discard -42.16130-57.54722
Turn 4    3 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 4 }, a_{ 3 }^{ 4 }) \) \( \hat Q^\pi(s_{ 3 }^{ 4 }, a_{ 3 }^{ 4 }) + \Phi_{ 3 } \)
Discard -3.52389-18.90980
Discard -14.98520-30.37111
Discard -28.40976-43.79567
Discard -29.74206-45.12797
Discard -38.76451-54.15043
Discard -40.16894-55.55485
Discard -41.79972-57.18563
Discard -43.53392-58.91984
Discard -44.25208-59.63800
Discard -44.52248-59.90839
Discard -44.94208-60.32799
Discard -45.29789-60.68381
Turn 4    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 5 }, a_{ 3 }^{ 5 }) \) \( \hat Q^\pi(s_{ 3 }^{ 5 }, a_{ 3 }^{ 5 }) + \Phi_{ 3 } \)
Pass-4.39929-19.78520
Pon-8.02894-23.41485
Turn 5    3 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 6 }, a_{ 3 }^{ 6 }) \) \( \hat Q^\pi(s_{ 3 }^{ 6 }, a_{ 3 }^{ 6 }) + \Phi_{ 3 } \)
Discard -4.51470-19.90061
Discard -5.01744-20.40335
Discard -20.75167-36.13758
Discard -22.45997-37.84588
Discard -31.21892-46.60483
Discard -36.72564-52.11156
Discard -38.11021-53.49612
Discard -38.49360-53.87951
Discard -39.50966-54.89558
Discard -40.05708-55.44300
Discard -40.13760-55.52351
Discard -41.43946-56.82538
Turn 5    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 7 }, a_{ 3 }^{ 7 }) \) \( \hat Q^\pi(s_{ 3 }^{ 7 }, a_{ 3 }^{ 7 }) + \Phi_{ 3 } \)
Pass-4.82874-20.21465
Pon-9.40047-24.78638
Turn 5    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 8 }, a_{ 3 }^{ 8 }) \) \( \hat Q^\pi(s_{ 3 }^{ 8 }, a_{ 3 }^{ 8 }) + \Phi_{ 3 } \)
Pass-4.78490-20.17081
Chii-42.09509-57.48100
Turn 6    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 9 }, a_{ 3 }^{ 9 }) \) \( \hat Q^\pi(s_{ 3 }^{ 9 }, a_{ 3 }^{ 9 }) + \Phi_{ 3 } \)
Discard -5.20629-20.59220
Discard -24.97260-40.35851
Discard -26.04761-41.43353
Discard -34.95427-50.34018
Discard -39.33558-54.72149
Discard -39.95758-55.34349
Discard -40.96587-56.35179
Discard -41.60529-56.99120
Discard -42.63736-58.02327
Discard -43.16334-58.54925
Discard -43.20599-58.59191
Discard -43.37069-58.75660
Turn 7    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 10 }, a_{ 3 }^{ 10 }) \) \( \hat Q^\pi(s_{ 3 }^{ 10 }, a_{ 3 }^{ 10 }) + \Phi_{ 3 } \)
Discard -5.22759-20.61351
Discard -5.61760-21.00351
Discard -20.75831-36.14422
Discard -25.04121-40.42712
Discard -28.66991-44.05582
Discard -31.39399-46.77990
Discard -31.57452-46.96044
Discard -33.71359-49.09950
Discard -34.08730-49.47322
Discard -34.19331-49.57923
Discard -37.47172-52.85763
Turn 7    2 shanten    #2/2
Player: Chii
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 11 }, a_{ 3 }^{ 11 }) \) \( \hat Q^\pi(s_{ 3 }^{ 11 }, a_{ 3 }^{ 11 }) + \Phi_{ 3 } \)
Pass-3.98449-19.37041
Chii-25.05868-40.44459
Turn 8    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 12 }, a_{ 3 }^{ 12 }) \) \( \hat Q^\pi(s_{ 3 }^{ 12 }, a_{ 3 }^{ 12 }) + \Phi_{ 3 } \)
Discard -4.75703-20.14294
Discard -7.17995-22.56587
Discard -12.72358-28.10949
Discard -22.83824-38.22415
Discard -32.67891-48.06483
Discard -34.14270-49.52862
Discard -34.40525-49.79117
Discard -34.80328-50.18920
Discard -36.55643-51.94235
Discard -42.28103-57.66694
Turn 9    2 shanten    #2/9
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 13 }, a_{ 3 }^{ 13 }) \) \( \hat Q^\pi(s_{ 3 }^{ 13 }, a_{ 3 }^{ 13 }) + \Phi_{ 3 } \)
Discard -4.68357-20.06948
Discard -10.49048-25.87639
Discard -11.54782-26.93374
Discard -19.93137-35.31729
Discard -23.74550-39.13141
Discard -31.09195-46.47787
Discard -32.21141-47.59732
Discard -32.48425-47.87017
Discard -38.88654-54.27245
Turn 10    2 shanten    #2/9
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 14 }, a_{ 3 }^{ 14 }) \) \( \hat Q^\pi(s_{ 3 }^{ 14 }, a_{ 3 }^{ 14 }) + \Phi_{ 3 } \)
Discard -4.90476-20.29068
Discard -5.14987-20.53578
Discard -24.45067-39.83658
Discard -26.39196-41.77787
Discard -29.00058-44.38649
Discard -33.32147-48.70738
Discard -33.38742-48.77334
Discard -34.16779-49.55370
Discard -36.09803-51.48394
Turn 10    1 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 15 }, a_{ 3 }^{ 15 }) \) \( \hat Q^\pi(s_{ 3 }^{ 15 }, a_{ 3 }^{ 15 }) + \Phi_{ 3 } \)
Pass-3.76399-19.14990
Pon-17.39228-32.77820
Chii-17.74731-33.13322
Turn 11    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 16 }, a_{ 3 }^{ 16 }) \) \( \hat Q^\pi(s_{ 3 }^{ 16 }, a_{ 3 }^{ 16 }) + \Phi_{ 3 } \)
Discard -4.22955-19.61546
Discard -14.34624-29.73215
Discard -18.18832-33.57423
Discard -35.66637-51.05229
Discard -36.07546-51.46137
Discard -37.35572-52.74163
Discard -37.57533-52.96124
Discard -38.92410-54.31001
Discard -40.98699-56.37290
Turn 12    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 17 }, a_{ 3 }^{ 17 }) \) \( \hat Q^\pi(s_{ 3 }^{ 17 }, a_{ 3 }^{ 17 }) + \Phi_{ 3 } \)
Discard -6.74029-22.12620
Discard -40.53996-55.92587
Discard -43.80762-59.19353
Discard -44.32697-59.71289
Discard -45.09717-60.48308
Discard -45.40590-60.79181
Discard -45.51153-60.89744
Discard -45.52624-60.91215
Discard -49.36811-64.75402
Turn 13    1 shanten    #2/10
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 18 }, a_{ 3 }^{ 18 }) \) \( \hat Q^\pi(s_{ 3 }^{ 18 }, a_{ 3 }^{ 18 }) + \Phi_{ 3 } \)
Discard -5.09168-20.47759
Discard -6.54772-21.93363
Discard -9.25468-24.64059
Discard -23.64826-39.03418
Discard -24.00341-39.38932
Discard -27.80712-43.19303
Discard -30.53255-45.91846
Discard -31.52099-46.90690
Discard -32.51508-47.90099
Discard -36.81036-52.19628
Turn 14    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 19 }, a_{ 3 }^{ 19 }) \) \( \hat Q^\pi(s_{ 3 }^{ 19 }, a_{ 3 }^{ 19 }) + \Phi_{ 3 } \)
Discard -5.70762-21.09353
Discard -9.54784-24.93375
Discard -9.94668-25.33259
Discard -18.49264-33.87855
Discard -19.16776-34.55367
Discard -26.51217-41.89808
Discard -28.54756-43.93347
Discard -30.37577-45.76169
Discard -31.99986-47.38577
Discard -39.12984-54.51576
Turn 15    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 20 }, a_{ 3 }^{ 20 }) \) \( \hat Q^\pi(s_{ 3 }^{ 20 }, a_{ 3 }^{ 20 }) + \Phi_{ 3 } \)
Discard -7.45761-22.84353
Discard -7.81147-23.19738
Discard -34.48418-49.87010
Discard -35.85588-51.24179
Discard -36.27522-51.66114
Discard -37.56365-52.94956
Discard -37.66393-53.04985
Discard -39.90391-55.28982
Discard -41.75884-57.14475
Discard -42.45897-57.84489
Turn 16    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 21 }, a_{ 3 }^{ 21 }) \) \( \hat Q^\pi(s_{ 3 }^{ 21 }, a_{ 3 }^{ 21 }) + \Phi_{ 3 } \)
Discard -7.68709-23.07301
Discard -12.56788-27.95379
Discard -37.95582-53.34173
Discard -42.09232-57.47824
Discard -42.67793-58.06385
Discard -43.01764-58.40355
Discard -44.48897-59.87488
Discard -44.87969-60.26560
Discard -46.41000-61.79591
Discard -47.59573-62.98165
Turn 16    1 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 3 }^{ 22 }, a_{ 3 }^{ 22 }) \) \( \hat Q^\pi(s_{ 3 }^{ 22 }, a_{ 3 }^{ 22 }) + \Phi_{ 3 } \)
Pass-8.13915-23.52506
Pon-28.43349-43.81941
Turn 17    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 3 }^{ 23 }, a_{ 3 }^{ 23 }) \) \( \hat Q^\pi(s_{ 3 }^{ 23 }, a_{ 3 }^{ 23 }) + \Phi_{ 3 } \)
Discard -9.02073-24.40665
Discard -9.15696-24.54287
Discard -37.41960-52.80551
Discard -39.25466-54.64057
Discard -39.43839-54.82430
Discard -40.59667-55.98258
Discard -42.34127-57.72718
Discard -43.67348-59.05939
Discard -45.43770-60.82361

Tsumo by Kamicha👈10600

Replay viewer
Final placement EV at East 3-2 start
\( \Phi_{ 4 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 4 }^{self}] = -31.74784 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇1900011.6776821.0549628.9470038.32036
Shimocha👉2300017.3122128.6163329.0657825.00568
Toimen👆3600057.0835826.4403411.392045.08403
Kamicha👈2100013.9265323.8883730.5951831.58993
Turn 1    5 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 0 }, a_{ 4 }^{ 0 }) \) \( \hat Q^\pi(s_{ 4 }^{ 0 }, a_{ 4 }^{ 0 }) + \Phi_{ 4 } \)
Discard -1.73520-33.48304
Discard -6.59340-38.34124
Discard -25.30624-57.05408
Discard -29.87367-61.62151
Discard -31.45937-63.20720
Discard -43.87437-75.62221
Discard -45.93009-77.67793
Discard -47.34669-79.09453
Discard -47.40874-79.15658
Discard -48.13044-79.87828
Discard -48.65481-80.40265
Discard -48.79420-80.54204
Discard -49.85491-81.60275
Turn 2    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 1 }, a_{ 4 }^{ 1 }) \) \( \hat Q^\pi(s_{ 4 }^{ 1 }, a_{ 4 }^{ 1 }) + \Phi_{ 4 } \)
Discard -3.09277-34.84061
Discard -6.20279-37.95063
Discard -23.07351-54.82135
Discard -25.96314-57.71098
Discard -42.64000-74.38784
Discard -44.25592-76.00376
Discard -44.52744-76.27527
Discard -44.73798-76.48582
Discard -46.01348-77.76132
Discard -46.89744-78.64528
Discard -47.43401-79.18185
Discard -47.51330-79.26114
Discard -48.23753-79.98536
Turn 3    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 2 }, a_{ 4 }^{ 2 }) \) \( \hat Q^\pi(s_{ 4 }^{ 2 }, a_{ 4 }^{ 2 }) + \Phi_{ 4 } \)
Discard -4.23034-35.97818
Discard -9.32662-41.07446
Discard -19.69393-51.44176
Discard -25.13578-56.88362
Discard -41.23820-72.98604
Discard -42.58957-74.33741
Discard -42.95217-74.70001
Discard -43.57067-75.31851
Discard -43.89982-75.64766
Discard -44.77115-76.51899
Discard -46.53248-78.28032
Discard -46.96638-78.71422
Discard -47.58963-79.33747
Turn 4    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 3 }, a_{ 4 }^{ 3 }) \) \( \hat Q^\pi(s_{ 4 }^{ 3 }, a_{ 4 }^{ 3 }) + \Phi_{ 4 } \)
Discard -4.85655-36.60439
Discard -5.04065-36.78849
Discard -17.78649-49.53433
Discard -22.37181-54.11964
Discard -35.58559-67.33343
Discard -38.06218-69.81001
Discard -38.08733-69.83517
Discard -39.73248-71.48032
Discard -40.04261-71.79045
Discard -40.54820-72.29604
Discard -41.12744-72.87528
Discard -42.56050-74.30834
Discard -43.91490-75.66274
Turn 5    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 4 }, a_{ 4 }^{ 4 }) \) \( \hat Q^\pi(s_{ 4 }^{ 4 }, a_{ 4 }^{ 4 }) + \Phi_{ 4 } \)
Discard -6.52161-38.26945
Discard -17.37922-49.12705
Discard -26.04049-57.78833
Discard -28.99240-60.74024
Discard -38.42610-70.17394
Discard -38.53911-70.28695
Discard -40.29955-72.04739
Discard -41.70656-73.45440
Discard -41.72790-73.47574
Discard -41.89472-73.64256
Discard -46.10654-77.85438
Discard -46.68364-78.43148
Discard -48.00293-79.75077
Turn 5    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 4 }^{ 5 }, a_{ 4 }^{ 5 }) \) \( \hat Q^\pi(s_{ 4 }^{ 5 }, a_{ 4 }^{ 5 }) + \Phi_{ 4 } \)
Pass-5.97425-37.72209
Chii-74.04186-105.78970
Turn 6    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 6 }, a_{ 4 }^{ 6 }) \) \( \hat Q^\pi(s_{ 4 }^{ 6 }, a_{ 4 }^{ 6 }) + \Phi_{ 4 } \)
Discard -5.58591-37.33375
Discard -28.55600-60.30384
Discard -35.32047-67.06830
Discard -35.88183-67.62967
Discard -39.73040-71.47824
Discard -40.71903-72.46687
Discard -41.82942-73.57726
Discard -41.97021-73.71805
Discard -42.73014-74.47798
Discard -45.94053-77.68836
Discard -48.13955-79.88739
Discard -50.54854-82.29638
Turn 7    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 4 }^{ 7 }, a_{ 4 }^{ 7 }) \) \( \hat Q^\pi(s_{ 4 }^{ 7 }, a_{ 4 }^{ 7 }) + \Phi_{ 4 } \)
Discard -8.84768-40.59552
Discard -16.10347-47.85131
Discard -31.77860-63.52644
Discard -43.00111-74.74895
Discard -43.29440-75.04224
Discard -43.32607-75.07390
Discard -44.61579-76.36363
Discard -45.38697-77.13481
Discard -45.82912-77.57696
Discard -45.93555-77.68339
Discard -46.21570-77.96354
Discard -50.51921-82.26705

Tsumo by Shimocha👉8400

Replay viewer
Final placement EV at East 4 start
\( \Phi_{ 5 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 5 }^{self}] = -48.81764 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇168008.3299514.0801131.1820546.40789
Shimocha👉1880010.0856016.0618434.2292139.62334
Toimen👆3380049.1382531.4483014.025965.38748
Kamicha👈3060032.4461938.4097520.562788.58129
Turn 1    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 0 }, a_{ 5 }^{ 0 }) \) \( \hat Q^\pi(s_{ 5 }^{ 0 }, a_{ 5 }^{ 0 }) + \Phi_{ 5 } \)
Discard 1.56592-47.25172
Discard -12.57819-61.39582
Discard -30.04028-78.85792
Discard -37.31683-86.13447
Discard -38.43100-87.24863
Discard -41.63898-90.45662
Discard -41.94417-90.76181
Discard -46.73324-95.55088
Discard -47.81801-96.63565
Discard -48.40582-97.22346
Discard -48.57844-97.39608
Discard -48.59917-97.41680
Discard -49.93087-98.74850
Turn 1    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 5 }^{ 1 }, a_{ 5 }^{ 1 }) \) \( \hat Q^\pi(s_{ 5 }^{ 1 }, a_{ 5 }^{ 1 }) + \Phi_{ 5 } \)
Pass1.94907-46.86857
Chii-113.11581-161.93344
Turn 2    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 2 }, a_{ 5 }^{ 2 }) \) \( \hat Q^\pi(s_{ 5 }^{ 2 }, a_{ 5 }^{ 2 }) + \Phi_{ 5 } \)
Discard 0.16124-48.65640
Discard -34.11783-82.93547
Discard -34.84843-83.66607
Discard -39.72726-88.54490
Discard -43.46148-92.27912
Discard -43.87723-92.69487
Discard -46.92142-95.73906
Discard -50.86895-99.68659
Discard -50.98741-99.80505
Discard -52.09696-100.91460
Discard -52.49291-101.31055
Discard -53.27826-102.09590
Discard -53.96374-102.78138
Turn 3    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 3 }, a_{ 5 }^{ 3 }) \) \( \hat Q^\pi(s_{ 5 }^{ 3 }, a_{ 5 }^{ 3 }) + \Phi_{ 5 } \)
Discard -0.39795-49.21559
Discard -10.24241-59.06005
Discard -26.98934-75.80698
Discard -30.73779-79.55543
Discard -33.27702-82.09466
Discard -37.19196-86.00960
Discard -40.56208-89.37972
Discard -41.84304-90.66068
Discard -45.43484-94.25248
Discard -46.24245-95.06009
Discard -46.47492-95.29256
Discard -46.63348-95.45112
Discard -47.52320-96.34084
Turn 3    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 5 }^{ 4 }, a_{ 5 }^{ 4 }) \) \( \hat Q^\pi(s_{ 5 }^{ 4 }, a_{ 5 }^{ 4 }) + \Phi_{ 5 } \)
Pass-1.23252-50.05016
Chii-11.47939-60.29703
Turn 4    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 5 }, a_{ 5 }^{ 5 }) \) \( \hat Q^\pi(s_{ 5 }^{ 5 }, a_{ 5 }^{ 5 }) + \Phi_{ 5 } \)
Discard 5.36841-43.44923
Discard 5.12898-43.68866
Discard -23.64624-72.46388
Discard -29.60629-78.42393
Discard -32.86871-81.68635
Discard -33.55272-82.37036
Discard -33.61289-82.43053
Discard -35.73845-84.55608
Discard -36.55626-85.37389
Discard -36.78261-85.60025
Discard -37.37587-86.19351
Discard -38.14744-86.96508
Discard -39.22847-88.04610
Turn 5    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 6 }, a_{ 5 }^{ 6 }) \) \( \hat Q^\pi(s_{ 5 }^{ 6 }, a_{ 5 }^{ 6 }) + \Phi_{ 5 } \)
Discard 3.52863-45.28900
Discard -12.97789-61.79553
Discard -39.04699-87.86463
Discard -43.65882-92.47646
Discard -46.56617-95.38380
Discard -46.59207-95.40971
Discard -47.69889-96.51653
Discard -49.03840-97.85604
Discard -50.54879-99.36643
Discard -51.29502-100.11266
Discard -52.66726-101.48489
Discard -53.39932-102.21696
Discard -53.47692-102.29456
Turn 5    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 5 }^{ 7 }, a_{ 5 }^{ 7 }) \) \( \hat Q^\pi(s_{ 5 }^{ 7 }, a_{ 5 }^{ 7 }) + \Phi_{ 5 } \)
Pass3.12372-45.69392
Pon-86.31556-135.13320
Turn 6    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 8 }, a_{ 5 }^{ 8 }) \) \( \hat Q^\pi(s_{ 5 }^{ 8 }, a_{ 5 }^{ 8 }) + \Phi_{ 5 } \)
Discard 2.18784-46.62980
Discard -7.90184-56.71948
Discard -37.19381-86.01144
Discard -39.55166-88.36930
Discard -43.56197-92.37961
Discard -43.82908-92.64672
Discard -46.17211-94.98975
Discard -47.10754-95.92517
Discard -47.50222-96.31986
Discard -48.77223-97.58987
Discard -49.49033-98.30797
Discard -49.80852-98.62616
Discard -49.85785-98.67549
Turn 7    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 9 }, a_{ 5 }^{ 9 }) \) \( \hat Q^\pi(s_{ 5 }^{ 9 }, a_{ 5 }^{ 9 }) + \Phi_{ 5 } \)
Discard -0.02803-48.84567
Discard -7.96720-56.78484
Discard -34.90147-83.71911
Discard -38.79300-87.61064
Discard -44.54957-93.36721
Discard -45.46462-94.28226
Discard -47.15652-95.97415
Discard -47.79575-96.61338
Discard -47.79700-96.61464
Discard -49.51623-98.33387
Discard -49.71914-98.53678
Discard -50.67234-99.48997
Discard -50.83879-99.65642
Turn 7    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 5 }^{ 10 }, a_{ 5 }^{ 10 }) \) \( \hat Q^\pi(s_{ 5 }^{ 10 }, a_{ 5 }^{ 10 }) + \Phi_{ 5 } \)
Pass-2.86901-51.68665
Chii-60.61276-109.43040
Turn 8    2 shanten    #2/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 11 }, a_{ 5 }^{ 11 }) \) \( \hat Q^\pi(s_{ 5 }^{ 11 }, a_{ 5 }^{ 11 }) + \Phi_{ 5 } \)
Discard -2.92000-51.73764
Discard -4.85748-53.67512
Discard -22.20464-71.02228
Discard -32.57253-81.39016
Discard -37.54131-86.35895
Discard -42.57970-91.39734
Discard -43.10132-91.91896
Discard -45.28228-94.09992
Discard -46.68139-95.49903
Discard -47.02467-95.84230
Discard -47.14764-95.96528
Discard -47.27152-96.08916
Discard -47.36491-96.18255
Turn 9    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 12 }, a_{ 5 }^{ 12 }) \) \( \hat Q^\pi(s_{ 5 }^{ 12 }, a_{ 5 }^{ 12 }) + \Phi_{ 5 } \)
Discard -2.68463-51.50227
Discard -30.90359-79.72122
Discard -37.99056-86.80820
Discard -43.81383-92.63147
Discard -50.63172-99.44936
Discard -50.94497-99.76260
Discard -52.31183-101.12947
Discard -52.42589-101.24353
Discard -52.77702-101.59465
Discard -53.56460-102.38224
Discard -54.24945-103.06709
Discard -54.31522-103.13286
Discard -55.86488-104.68251
Turn 10    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 13 }, a_{ 5 }^{ 13 }) \) \( \hat Q^\pi(s_{ 5 }^{ 13 }, a_{ 5 }^{ 13 }) + \Phi_{ 5 } \)
Discard -2.85457-51.67221
Discard -40.20695-89.02459
Discard -44.37597-93.19360
Discard -45.68799-94.50563
Discard -50.71486-99.53249
Discard -52.35760-101.17524
Discard -53.49241-102.31005
Discard -53.92926-102.74689
Discard -53.99557-102.81320
Discard -55.17283-103.99047
Discard -55.97186-104.78949
Discard -56.47280-105.29043
Discard -57.74338-106.56102
Turn 11    1 shanten    #2/14
Player: Riichi
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 14 }, a_{ 5 }^{ 14 }) \) \( \hat Q^\pi(s_{ 5 }^{ 14 }, a_{ 5 }^{ 14 }) + \Phi_{ 5 } \)
Discard -2.18489-51.00253
Riichi-13.84090-62.65854
Discard -25.26122-74.07886
Discard -26.04599-74.86363
Discard -30.78991-79.60755
Discard -37.17980-85.99744
Discard -40.43151-89.24914
Discard -41.05426-89.87190
Discard -43.41956-92.23720
Discard -44.44316-93.26080
Discard -44.58990-93.40754
Discard -44.65569-93.47333
Discard -44.66248-93.48012
Discard -45.36278-94.18042
Turn 11    1 shanten    #2/2
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 5 }^{ 15 }, a_{ 5 }^{ 15 }) \) \( \hat Q^\pi(s_{ 5 }^{ 15 }, a_{ 5 }^{ 15 }) + \Phi_{ 5 } \)
Discard -2.11003-50.92767
Discard -7.27463-56.09226

Ron by Toimen👆2000

Replay viewer
Final placement EV at South 1 start
\( \Phi_{ 6 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 6 }^{self}] = -77.06280 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇142007.620659.9068617.0062265.46628
Shimocha👉2720024.8569629.0482031.7774514.31739
Toimen👆2960037.9901828.5325323.799999.67730
Kamicha👈2900029.5322132.5124127.4163510.53904
Turn 1    2 shanten    #2/11
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 0 }, a_{ 6 }^{ 0 }) \) \( \hat Q^\pi(s_{ 6 }^{ 0 }, a_{ 6 }^{ 0 }) + \Phi_{ 6 } \)
Discard -1.80725-78.87005
Discard -10.12997-87.19277
Discard -17.17977-94.24257
Discard -24.27121-101.33401
Discard -30.97751-108.04032
Discard -34.45063-111.51343
Discard -34.85409-111.91689
Discard -35.04134-112.10414
Discard -37.01638-114.07918
Discard -38.36872-115.43152
Discard -41.22356-118.28636
Turn 2    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 1 }, a_{ 6 }^{ 1 }) \) \( \hat Q^\pi(s_{ 6 }^{ 1 }, a_{ 6 }^{ 1 }) + \Phi_{ 6 } \)
Discard -2.31665-79.37945
Discard -8.27138-85.33418
Discard -23.88531-100.94811
Discard -30.25250-107.31530
Discard -32.19103-109.25383
Discard -32.94687-110.00967
Discard -35.63274-112.69554
Discard -37.22870-114.29151
Discard -37.44562-114.50842
Discard -38.71617-115.77897
Discard -40.98644-118.04925
Turn 2    2 shanten    #2/2
Player: Pon
Mortal: Pass
Action \( \hat Q^\pi(s_{ 6 }^{ 2 }, a_{ 6 }^{ 2 }) \) \( \hat Q^\pi(s_{ 6 }^{ 2 }, a_{ 6 }^{ 2 }) + \Phi_{ 6 } \)
Pass-2.31306-79.37586
Pon-5.26610-82.32890
Turn 3    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 3 }, a_{ 6 }^{ 3 }) \) \( \hat Q^\pi(s_{ 6 }^{ 3 }, a_{ 6 }^{ 3 }) + \Phi_{ 6 } \)
Discard -2.51479-79.57759
Discard -17.48631-94.54911
Discard -27.99775-105.06055
Discard -29.03683-106.09964
Discard -42.74517-119.80797
Discard -44.72984-121.79264
Discard -46.34317-123.40597
Discard -48.11054-125.17334
Discard -48.41109-125.47390
Turn 4    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 4 }, a_{ 6 }^{ 4 }) \) \( \hat Q^\pi(s_{ 6 }^{ 4 }, a_{ 6 }^{ 4 }) + \Phi_{ 6 } \)
Discard -2.91231-79.97511
Discard -38.86826-115.93106
Discard -44.91309-121.97590
Discard -48.04424-125.10705
Discard -50.19902-127.26182
Discard -50.76783-127.83063
Discard -52.22153-129.28434
Discard -54.20592-131.26872
Discard -55.54053-132.60333
Discard -57.56373-134.62653
Turn 4    1 shanten    #2/2
Player: Pass
Mortal: Chii
Action \( \hat Q^\pi(s_{ 6 }^{ 5 }, a_{ 6 }^{ 5 }) \) \( \hat Q^\pi(s_{ 6 }^{ 5 }, a_{ 6 }^{ 5 }) + \Phi_{ 6 } \)
Chii-2.56398-79.62678
Pass-9.43984-86.50264
Turn 5    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 6 }, a_{ 6 }^{ 6 }) \) \( \hat Q^\pi(s_{ 6 }^{ 6 }, a_{ 6 }^{ 6 }) + \Phi_{ 6 } \)
Discard -1.85754-78.92034
Discard -28.30261-105.36541
Discard -45.59186-122.65466
Discard -48.61679-125.67960
Discard -48.68338-125.74618
Discard -48.71104-125.77385
Discard -52.07553-129.13834
Discard -52.30495-129.36776
Discard -53.71037-130.77317
Discard -56.47793-133.54073
Turn 6    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 7 }, a_{ 6 }^{ 7 }) \) \( \hat Q^\pi(s_{ 6 }^{ 7 }, a_{ 6 }^{ 7 }) + \Phi_{ 6 } \)
Discard -3.86744-80.93024
Discard -45.23023-122.29303
Discard -47.44730-124.51010
Discard -49.82526-126.88807
Discard -51.23472-128.29752
Discard -53.25585-130.31865
Discard -54.68739-131.75020
Discard -55.25411-132.31691
Discard -57.50049-134.56329
Turn 7    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 8 }, a_{ 6 }^{ 8 }) \) \( \hat Q^\pi(s_{ 6 }^{ 8 }, a_{ 6 }^{ 8 }) + \Phi_{ 6 } \)
Discard -4.45078-81.51359
Discard -44.68412-121.74693
Discard -46.44382-123.50662
Discard -46.53951-123.60231
Discard -48.53484-125.59765
Discard -50.93085-127.99366
Discard -53.09259-130.15540
Discard -55.28873-132.35153
Discard -59.40677-136.46957
Turn 8    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 9 }, a_{ 6 }^{ 9 }) \) \( \hat Q^\pi(s_{ 6 }^{ 9 }, a_{ 6 }^{ 9 }) + \Phi_{ 6 } \)
Discard -4.16304-81.22584
Discard -46.39999-123.46280
Discard -50.75887-127.82167
Discard -51.39651-128.45931
Discard -53.40858-130.47138
Discard -53.43007-130.49287
Discard -55.20755-132.27035
Discard -56.21232-133.27512
Discard -59.79944-136.86224
Turn 9    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 10 }, a_{ 6 }^{ 10 }) \) \( \hat Q^\pi(s_{ 6 }^{ 10 }, a_{ 6 }^{ 10 }) + \Phi_{ 6 } \)
Discard -5.06358-82.12638
Discard -8.20265-85.26546
Discard -13.86378-90.92658
Discard -15.34705-92.40985
Discard -31.04827-108.11108
Discard -31.82509-108.88789
Discard -32.79804-109.86084
Discard -39.59984-116.66264
Discard -40.31877-117.38157
Turn 10    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 11 }, a_{ 6 }^{ 11 }) \) \( \hat Q^\pi(s_{ 6 }^{ 11 }, a_{ 6 }^{ 11 }) + \Phi_{ 6 } \)
Discard -2.72859-79.79139
Discard -38.41683-115.47963
Discard -40.93494-117.99775
Discard -45.08624-122.14904
Discard -46.73100-123.79380
Discard -47.81294-124.87575
Discard -48.94901-126.01181
Discard -51.09038-128.15318
Turn 11    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 12 }, a_{ 6 }^{ 12 }) \) \( \hat Q^\pi(s_{ 6 }^{ 12 }, a_{ 6 }^{ 12 }) + \Phi_{ 6 } \)
Discard -3.55745-80.62025
Discard -43.07780-120.14060
Discard -43.24622-120.30902
Discard -47.01354-124.07634
Discard -48.59069-125.65349
Discard -50.36919-127.43200
Discard -52.02834-129.09114
Discard -54.08082-131.14362
Turn 12    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 13 }, a_{ 6 }^{ 13 }) \) \( \hat Q^\pi(s_{ 6 }^{ 13 }, a_{ 6 }^{ 13 }) + \Phi_{ 6 } \)
Discard -5.76271-82.82551
Discard -14.89207-91.95487
Discard -22.92233-99.98513
Discard -24.97118-102.03398
Discard -33.74637-110.80917
Discard -41.60382-118.66663
Discard -44.84881-121.91161
Discard -46.19009-123.25289
Turn 13    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 14 }, a_{ 6 }^{ 14 }) \) \( \hat Q^\pi(s_{ 6 }^{ 14 }, a_{ 6 }^{ 14 }) + \Phi_{ 6 } \)
Discard -4.94474-82.00754
Discard -28.03838-105.10118
Discard -34.67026-111.73306
Discard -39.45453-116.51733
Discard -40.06452-117.12732
Discard -41.36265-118.42545
Discard -45.36074-122.42354
Turn 14    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 6 }^{ 15 }, a_{ 6 }^{ 15 }) \) \( \hat Q^\pi(s_{ 6 }^{ 15 }, a_{ 6 }^{ 15 }) + \Phi_{ 6 } \)
Discard -8.95936-86.02216
Discard -14.55949-91.62229
Discard -17.33219-94.39499
Discard -18.73973-95.80254
Discard -27.89529-104.95810
Discard -33.82052-110.88332
Discard -36.77958-113.84239
Discard -38.80562-115.86842

Tsumo by Self👇19000

Replay viewer
Final placement EV at South 2 start
\( \Phi_{ 7 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 7 }^{self}] = -95.62285 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇122005.528506.2629711.6034576.60507
Shimocha👉2720023.1920126.2109539.4496211.14742
Toimen👆3160045.4613231.7010118.157564.68011
Kamicha👈2900025.8181735.8250630.789367.56740
Turn 1    3 shanten    #2/9
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 7 }^{ 0 }, a_{ 7 }^{ 0 }) \) \( \hat Q^\pi(s_{ 7 }^{ 0 }, a_{ 7 }^{ 0 }) + \Phi_{ 7 } \)
Discard 21.52142-74.10143
Discard 11.69389-83.92896
Discard -5.59011-101.21296
Discard -15.62822-111.25107
Discard -18.22923-113.85208
Discard -18.41071-114.03356
Discard -18.70144-114.32429
Discard -25.58476-121.20761
Discard -25.81766-121.44051
Turn 2    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 7 }^{ 1 }, a_{ 7 }^{ 1 }) \) \( \hat Q^\pi(s_{ 7 }^{ 1 }, a_{ 7 }^{ 1 }) + \Phi_{ 7 } \)
Discard 25.66155-69.96130
Discard 3.53482-92.08803
Discard -12.78467-108.40752
Discard -22.23026-117.85311
Discard -22.68278-118.30563
Discard -24.07381-119.69666
Discard -25.71451-121.33736
Discard -26.44767-122.07052
Turn 2    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 7 }^{ 2 }, a_{ 7 }^{ 2 }) \) \( \hat Q^\pi(s_{ 7 }^{ 2 }, a_{ 7 }^{ 2 }) + \Phi_{ 7 } \)
Pass20.58774-75.03511
Chii-21.99803-117.62088
Turn 3    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 7 }^{ 3 }, a_{ 7 }^{ 3 }) \) \( \hat Q^\pi(s_{ 7 }^{ 3 }, a_{ 7 }^{ 3 }) + \Phi_{ 7 } \)
Discard 21.84909-73.77376
Discard 8.30272-87.32013
Discard -19.80240-115.42525
Discard -21.75361-117.37646
Discard -22.11387-117.73672
Discard -22.74930-118.37215
Discard -27.03508-122.65793
Discard -29.07668-124.69953
Turn 4    1 shanten   
Player: Riichi
Mortal: Riichi
Action \( \hat Q^\pi(s_{ 7 }^{ 4 }, a_{ 7 }^{ 4 }) \) \( \hat Q^\pi(s_{ 7 }^{ 4 }, a_{ 7 }^{ 4 }) + \Phi_{ 7 } \)
Riichi57.64291-37.97994
Discard 20.61291-75.00994
Discard 4.42470-91.19815
Discard 0.84241-94.78044
Discard -0.80858-96.43143
Discard -9.67415-105.29700
Discard -11.24937-106.87222
Discard -14.65339-110.27624
Discard -17.93206-113.55491
Turn 7    tenpai   
Player: Tsumo
Mortal: Tsumo
Action \( \hat Q^\pi(s_{ 7 }^{ 5 }, a_{ 7 }^{ 5 }) \) \( \hat Q^\pi(s_{ 7 }^{ 5 }, a_{ 7 }^{ 5 }) + \Phi_{ 7 } \)
Tsumo130.5717934.94894
Discard -95.15165-190.77450

Ron by Shimocha👉4200

Replay viewer
Final placement EV at South 2-1 start
\( \Phi_{ 8 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 8 }^{self}] = 38.63833 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇3020039.5402933.2503218.386758.82264
Shimocha👉2120015.4392217.8670025.1376741.55611
Toimen👆2560028.3029224.8852026.1909520.62093
Kamicha👈2300016.7175823.9974930.2846229.00031
Turn 1    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 0 }, a_{ 8 }^{ 0 }) \) \( \hat Q^\pi(s_{ 8 }^{ 0 }, a_{ 8 }^{ 0 }) + \Phi_{ 8 } \)
Discard -4.1078034.53053
Discard -25.3369213.30141
Discard -36.471462.16687
Discard -36.849951.78839
Discard -38.423830.21450
Discard -39.66670-1.02837
Discard -40.90000-2.26167
Discard -47.11152-8.47319
Discard -48.14737-9.50904
Discard -48.33963-9.70130
Discard -49.33807-10.69974
Discard -50.19483-11.55650
Discard -50.31217-11.67384
Turn 2    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 1 }, a_{ 8 }^{ 1 }) \) \( \hat Q^\pi(s_{ 8 }^{ 1 }, a_{ 8 }^{ 1 }) + \Phi_{ 8 } \)
Discard -3.8202134.81812
Discard -8.7756729.86266
Discard -24.9025913.73574
Discard -26.6895311.94880
Discard -32.325266.31307
Discard -37.718930.91940
Discard -43.24015-4.60182
Discard -44.78870-6.15037
Discard -44.98583-6.34750
Discard -45.46490-6.82657
Discard -45.97175-7.33342
Discard -47.04221-8.40388
Discard -47.32111-8.68278
Turn 2    4 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 8 }^{ 2 }, a_{ 8 }^{ 2 }) \) \( \hat Q^\pi(s_{ 8 }^{ 2 }, a_{ 8 }^{ 2 }) + \Phi_{ 8 } \)
Pass-4.5388434.09949
Chii-58.56050-19.92217
Turn 3    4 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 3 }, a_{ 8 }^{ 3 }) \) \( \hat Q^\pi(s_{ 8 }^{ 3 }, a_{ 8 }^{ 3 }) + \Phi_{ 8 } \)
Discard -5.8538432.78449
Discard -8.2434830.39485
Discard -13.1229525.51538
Discard -16.7359821.90235
Discard -18.2413420.39699
Discard -27.3109211.32741
Discard -37.015641.62269
Discard -38.65169-0.01336
Discard -38.86765-0.22932
Discard -40.44580-1.80747
Discard -40.45581-1.81748
Discard -43.15121-4.51288
Turn 4    4 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 4 }, a_{ 8 }^{ 4 }) \) \( \hat Q^\pi(s_{ 8 }^{ 4 }, a_{ 8 }^{ 4 }) + \Phi_{ 8 } \)
Discard -5.7649432.87339
Discard -5.8063032.83203
Discard -17.3827921.25554
Discard -17.4681021.17023
Discard -30.027988.61035
Discard -35.299723.33861
Discard -37.824370.81396
Discard -41.89248-3.25414
Discard -43.05028-4.41195
Discard -43.33876-4.70043
Discard -44.03596-5.39763
Discard -45.96792-7.32959
Turn 4    4 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 8 }^{ 5 }, a_{ 8 }^{ 5 }) \) \( \hat Q^\pi(s_{ 8 }^{ 5 }, a_{ 8 }^{ 5 }) + \Phi_{ 8 } \)
Pass-4.7070833.93125
Pon-44.56114-5.92281
Turn 5    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 6 }, a_{ 8 }^{ 6 }) \) \( \hat Q^\pi(s_{ 8 }^{ 6 }, a_{ 8 }^{ 6 }) + \Phi_{ 8 } \)
Discard -1.3681637.27017
Discard -19.3522219.28611
Discard -21.8387716.79956
Discard -33.715634.92270
Discard -40.96670-2.32837
Discard -44.69797-6.05964
Discard -45.63544-6.99711
Discard -46.01181-7.37348
Discard -46.53587-7.89754
Discard -46.67397-8.03564
Discard -48.86582-10.22749
Discard -50.55362-11.91529
Turn 6    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 7 }, a_{ 8 }^{ 7 }) \) \( \hat Q^\pi(s_{ 8 }^{ 7 }, a_{ 8 }^{ 7 }) + \Phi_{ 8 } \)
Discard 1.3040439.94237
Discard -18.1046520.53368
Discard -32.214796.42354
Discard -32.859285.77905
Discard -39.30451-0.66618
Discard -39.99281-1.35448
Discard -40.12845-1.49012
Discard -40.29309-1.65476
Discard -41.67790-3.03957
Discard -42.28925-3.65092
Discard -43.77240-5.13407
Discard -44.14993-5.51160
Turn 6    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 8 }^{ 8 }, a_{ 8 }^{ 8 }) \) \( \hat Q^\pi(s_{ 8 }^{ 8 }, a_{ 8 }^{ 8 }) + \Phi_{ 8 } \)
Pass1.5048640.14319
Pon-117.35206-78.71373
Turn 7    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 9 }, a_{ 8 }^{ 9 }) \) \( \hat Q^\pi(s_{ 8 }^{ 9 }, a_{ 8 }^{ 9 }) + \Phi_{ 8 } \)
Discard -0.3578538.28048
Discard -26.6953711.94296
Discard -32.267506.37083
Discard -37.569091.06924
Discard -43.80067-5.16234
Discard -44.08458-5.44625
Discard -45.63428-6.99595
Discard -46.36963-7.73129
Discard -46.81480-8.17647
Discard -47.95692-9.31859
Discard -48.13983-9.50150
Discard -49.59897-10.96064
Turn 7    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 8 }^{ 10 }, a_{ 8 }^{ 10 }) \) \( \hat Q^\pi(s_{ 8 }^{ 10 }, a_{ 8 }^{ 10 }) + \Phi_{ 8 } \)
Pass-0.4604138.17792
Chii-54.95680-16.31847
Turn 8    2 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 11 }, a_{ 8 }^{ 11 }) \) \( \hat Q^\pi(s_{ 8 }^{ 11 }, a_{ 8 }^{ 11 }) + \Phi_{ 8 } \)
Discard 1.4213940.05972
Discard -4.0190834.61925
Discard -27.5115111.12682
Discard -31.347767.29057
Discard -34.583714.05462
Discard -34.601584.03675
Discard -36.104692.53364
Discard -36.591372.04696
Discard -36.630542.00780
Discard -36.780971.85736
Discard -37.241841.39649
Discard -37.756480.88185
Turn 8    1 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 8 }^{ 12 }, a_{ 8 }^{ 12 }) \) \( \hat Q^\pi(s_{ 8 }^{ 12 }, a_{ 8 }^{ 12 }) + \Phi_{ 8 } \)
Pass0.2325838.87091
Chii-53.50373-14.86540
Turn 9    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 8 }^{ 13 }, a_{ 8 }^{ 13 }) \) \( \hat Q^\pi(s_{ 8 }^{ 13 }, a_{ 8 }^{ 13 }) + \Phi_{ 8 } \)
Discard -4.3448034.29353
Discard -4.6505833.98775
Discard -5.1129033.52543
Discard -5.2437233.39461
Discard -6.6257532.01258
Discard -10.4524128.18592
Discard -14.0856224.55271
Discard -14.2673224.37101
Discard -17.3252021.31313
Discard -23.9825514.65578
Discard -24.5866114.05172

Ron by Shimocha👉4900

Replay viewer
Final placement EV at South 3 start
\( \Phi_{ 9 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 9 }^{self}] = 13.99378 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇2600025.0223633.0622424.5788517.33656
Shimocha👉2540026.1827624.6052727.4257021.78627
Toimen👆2560031.0281122.8479924.6837721.44013
Kamicha👈2300017.7667719.4845023.3116839.43705
Turn 1    5 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 9 }^{ 0 }, a_{ 9 }^{ 0 }) \) \( \hat Q^\pi(s_{ 9 }^{ 0 }, a_{ 9 }^{ 0 }) + \Phi_{ 9 } \)
Discard -5.215768.77801
Discard -7.051426.94236
Discard -13.972460.02132
Discard -15.45439-1.46061
Discard -24.58982-10.59604
Discard -27.57084-13.57706
Discard -29.94161-15.94783
Discard -36.84178-22.84800
Discard -37.44179-23.44801
Discard -37.71770-23.72392
Discard -38.82932-24.83554
Discard -39.63083-25.63705
Discard -41.27128-27.27750
Turn 2    5 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 9 }^{ 1 }, a_{ 9 }^{ 1 }) \) \( \hat Q^\pi(s_{ 9 }^{ 1 }, a_{ 9 }^{ 1 }) + \Phi_{ 9 } \)
Discard -5.514488.47930
Discard -8.746675.24711
Discard -11.277132.71665
Discard -18.71331-4.71953
Discard -22.86701-8.87323
Discard -24.03847-10.04469
Discard -25.14041-11.14663
Discard -32.30747-18.31369
Discard -32.40369-18.40991
Discard -34.00517-20.01139
Discard -35.74753-21.75375
Discard -37.25498-23.26120
Discard -37.32224-23.32846
Turn 3    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 9 }^{ 2 }, a_{ 9 }^{ 2 }) \) \( \hat Q^\pi(s_{ 9 }^{ 2 }, a_{ 9 }^{ 2 }) + \Phi_{ 9 } \)
Discard -5.650348.34344
Discard -6.607247.38654
Discard -17.22716-3.23338
Discard -19.44943-5.45565
Discard -19.94047-5.94669
Discard -20.74292-6.74914
Discard -22.45896-8.46518
Discard -32.27240-18.27862
Discard -33.19758-19.20380
Discard -34.84503-20.85125
Discard -35.90427-21.91049
Discard -37.44795-23.45417
Discard -38.13677-24.14299
Turn 4    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 9 }^{ 3 }, a_{ 9 }^{ 3 }) \) \( \hat Q^\pi(s_{ 9 }^{ 3 }, a_{ 9 }^{ 3 }) + \Phi_{ 9 } \)
Discard -11.422512.57127
Discard -38.04464-24.05086
Discard -39.36414-25.37036
Discard -46.49675-32.50297
Discard -47.19243-33.19865
Discard -51.82426-37.83048
Discard -51.88107-37.88729
Discard -54.04641-40.05263
Discard -54.72238-40.72860
Discard -55.43738-41.44360
Discard -55.99496-42.00118
Discard -56.37429-42.38051
Discard -56.48114-42.48736

Ron by Self👇6200

Replay viewer
Final placement EV at South 3-1 start
\( \Phi_{ 10 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 10 }^{self}] = 14.90025 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇2600022.8180130.1726032.7770814.23231
Shimocha👉2930037.5997038.5888017.737016.07449
Toimen👆2560028.0615719.9705132.3969819.57094
Kamicha👈1910011.5207211.2681017.0889360.12226
Turn 1    4 shanten    #2/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 0 }, a_{ 10 }^{ 0 }) \) \( \hat Q^\pi(s_{ 10 }^{ 0 }, a_{ 10 }^{ 0 }) + \Phi_{ 10 } \)
Discard -4.939569.96069
Discard -11.545353.35490
Discard -20.98099-6.08074
Discard -22.23918-7.33893
Discard -24.32429-9.42404
Discard -25.59792-10.69767
Discard -28.99628-14.09603
Discard -32.16204-17.26179
Discard -34.87119-19.97094
Discard -35.52232-20.62206
Discard -36.00433-21.10408
Discard -38.11533-23.21508
Discard -39.78680-24.88655
Turn 2    4 shanten    #2/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 1 }, a_{ 10 }^{ 1 }) \) \( \hat Q^\pi(s_{ 10 }^{ 1 }, a_{ 10 }^{ 1 }) + \Phi_{ 10 } \)
Discard -5.641789.25847
Discard -6.141828.75843
Discard -12.982541.91771
Discard -21.55304-6.65279
Discard -24.40668-9.50643
Discard -28.04076-13.14051
Discard -29.42701-14.52675
Discard -29.56263-14.66238
Discard -31.40962-16.50937
Discard -34.74557-19.84532
Discard -35.19637-20.29612
Discard -35.70937-20.80912
Discard -38.11588-23.21562
Turn 3    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 2 }, a_{ 10 }^{ 2 }) \) \( \hat Q^\pi(s_{ 10 }^{ 2 }, a_{ 10 }^{ 2 }) + \Phi_{ 10 } \)
Discard -6.245888.65437
Discard -11.580633.31962
Discard -11.938322.96194
Discard -18.57802-3.67777
Discard -27.29100-12.39075
Discard -30.97980-16.07955
Discard -31.12899-16.22874
Discard -32.32715-17.42690
Discard -33.97281-19.07256
Discard -35.23410-20.33385
Discard -36.07002-21.16977
Discard -37.00542-22.10517
Discard -38.91026-24.01001
Turn 3    4 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 10 }^{ 3 }, a_{ 10 }^{ 3 }) \) \( \hat Q^\pi(s_{ 10 }^{ 3 }, a_{ 10 }^{ 3 }) + \Phi_{ 10 } \)
Pass-6.443018.45725
Chii-16.08880-1.18855
Turn 4    4 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 4 }, a_{ 10 }^{ 4 }) \) \( \hat Q^\pi(s_{ 10 }^{ 4 }, a_{ 10 }^{ 4 }) + \Phi_{ 10 } \)
Discard -4.3938410.50641
Discard -18.82966-3.92941
Discard -29.32609-14.42583
Discard -31.18635-16.28610
Discard -32.04292-17.14266
Discard -33.00096-18.10071
Discard -34.37532-19.47507
Discard -34.60612-19.70587
Discard -36.99014-22.08988
Discard -38.90681-24.00656
Discard -39.77136-24.87111
Discard -42.87307-27.97282
Turn 4    3 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 10 }^{ 5 }, a_{ 10 }^{ 5 }) \) \( \hat Q^\pi(s_{ 10 }^{ 5 }, a_{ 10 }^{ 5 }) + \Phi_{ 10 } \)
Pass-5.063789.83647
Pon-11.480033.42022
Turn 5    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 6 }, a_{ 10 }^{ 6 }) \) \( \hat Q^\pi(s_{ 10 }^{ 6 }, a_{ 10 }^{ 6 }) + \Phi_{ 10 } \)
Discard -5.743229.15703
Discard -31.16928-16.26903
Discard -34.59344-19.69319
Discard -34.95929-20.05904
Discard -35.41735-20.51710
Discard -36.01126-21.11101
Discard -39.32422-24.42397
Discard -40.68873-25.78848
Discard -41.01462-26.11437
Discard -41.91373-27.01348
Discard -42.30829-27.40804
Discard -45.80522-30.90497
Turn 5    3 shanten   
Player: Pon
Mortal: Pon
Action \( \hat Q^\pi(s_{ 10 }^{ 7 }, a_{ 10 }^{ 7 }) \) \( \hat Q^\pi(s_{ 10 }^{ 7 }, a_{ 10 }^{ 7 }) + \Phi_{ 10 } \)
Pon-4.6576010.24265
Pass-7.000657.89960
Turn 6    2 shanten    #2/10
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 8 }, a_{ 10 }^{ 8 }) \) \( \hat Q^\pi(s_{ 10 }^{ 8 }, a_{ 10 }^{ 8 }) + \Phi_{ 10 } \)
Discard -4.5607410.33951
Discard -7.537077.36318
Discard -7.640547.25971
Discard -15.01203-0.11178
Discard -15.63171-0.73145
Discard -17.24825-2.34800
Discard -18.12819-3.22794
Discard -20.12654-5.22629
Discard -28.76459-13.86434
Discard -33.16847-18.26822
Turn 6    2 shanten   
Player: Pon
Mortal: Pon
Action \( \hat Q^\pi(s_{ 10 }^{ 9 }, a_{ 10 }^{ 9 }) \) \( \hat Q^\pi(s_{ 10 }^{ 9 }, a_{ 10 }^{ 9 }) + \Phi_{ 10 } \)
Pon-3.7339511.16631
Pass-5.109709.79055
Turn 7    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 10 }, a_{ 10 }^{ 10 }) \) \( \hat Q^\pi(s_{ 10 }^{ 10 }, a_{ 10 }^{ 10 }) + \Phi_{ 10 } \)
Discard -1.2346013.66565
Discard -23.26829-8.36804
Discard -40.20141-25.30116
Discard -40.82706-25.92681
Discard -41.81473-26.91448
Discard -42.36160-27.46135
Discard -43.58535-28.68510
Discard -45.78605-30.88580
Turn 8    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 11 }, a_{ 10 }^{ 11 }) \) \( \hat Q^\pi(s_{ 10 }^{ 11 }, a_{ 10 }^{ 11 }) + \Phi_{ 10 } \)
Discard 10.3413025.24155
Discard -33.23825-18.33800
Discard -37.11850-22.21825
Discard -37.16445-22.26420
Discard -40.15667-25.25642
Discard -40.17883-25.27858
Discard -41.20959-26.30934
Discard -43.64494-28.74469
Turn 8    tenpai   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 10 }^{ 12 }, a_{ 10 }^{ 12 }) \) \( \hat Q^\pi(s_{ 10 }^{ 12 }, a_{ 10 }^{ 12 }) + \Phi_{ 10 } \)
Pass10.5575225.45777
Chii-54.08297-39.18272
Turn 9    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 13 }, a_{ 10 }^{ 13 }) \) \( \hat Q^\pi(s_{ 10 }^{ 13 }, a_{ 10 }^{ 13 }) + \Phi_{ 10 } \)
Discard 9.3139324.21418
Discard -44.53588-29.63563
Discard -44.75631-29.85605
Discard -46.24624-31.34599
Discard -46.60000-31.69975
Discard -48.94241-34.04216
Discard -49.21587-34.31561
Discard -53.43111-38.53086
Turn 10    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 14 }, a_{ 10 }^{ 14 }) \) \( \hat Q^\pi(s_{ 10 }^{ 14 }, a_{ 10 }^{ 14 }) + \Phi_{ 10 } \)
Discard 9.7892624.68951
Discard -43.55132-28.65107
Discard -43.65981-28.75956
Discard -44.34971-29.44946
Discard -45.71793-30.81768
Discard -48.13409-33.23384
Discard -48.34409-33.44383
Discard -50.95790-36.05765
Turn 11    tenpai    #2/8
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 15 }, a_{ 10 }^{ 15 }) \) \( \hat Q^\pi(s_{ 10 }^{ 15 }, a_{ 10 }^{ 15 }) + \Phi_{ 10 } \)
Discard -2.7832412.11701
Discard -25.99534-11.09509
Discard -41.94985-27.04960
Discard -43.39865-28.49840
Discard -45.38895-30.48870
Discard -45.76265-30.86239
Discard -47.96492-33.06467
Discard -50.27294-35.37269
Turn 12    1 shanten    #6/8
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 16 }, a_{ 10 }^{ 16 }) \) \( \hat Q^\pi(s_{ 10 }^{ 16 }, a_{ 10 }^{ 16 }) + \Phi_{ 10 } \)
Discard -11.194363.70589
Discard -34.80351-19.90326
Discard -39.78095-24.88070
Discard -41.51511-26.61486
Discard -42.03323-27.13298
Discard -44.21350-29.31325
Discard -48.36020-33.45995
Discard -52.57328-37.67303
Turn 13    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 17 }, a_{ 10 }^{ 17 }) \) \( \hat Q^\pi(s_{ 10 }^{ 17 }, a_{ 10 }^{ 17 }) + \Phi_{ 10 } \)
Discard -10.498284.40198
Discard -18.34283-3.44258
Discard -37.10627-22.20602
Discard -38.08118-23.18093
Discard -38.56427-23.66402
Discard -41.23648-26.33623
Discard -44.85807-29.95782
Discard -48.85760-33.95735
Turn 14    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 18 }, a_{ 10 }^{ 18 }) \) \( \hat Q^\pi(s_{ 10 }^{ 18 }, a_{ 10 }^{ 18 }) + \Phi_{ 10 } \)
Discard -5.376099.52416
Discard -6.077078.82318
Discard -35.16080-20.26055
Discard -38.91299-24.01274
Discard -38.98146-24.08121
Discard -39.60482-24.70457
Discard -40.20484-25.30459
Discard -43.05491-28.15466
Turn 15    1 shanten    #2/8
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 19 }, a_{ 10 }^{ 19 }) \) \( \hat Q^\pi(s_{ 10 }^{ 19 }, a_{ 10 }^{ 19 }) + \Phi_{ 10 } \)
Discard -4.3671210.53313
Discard -6.243138.65713
Discard -16.48440-1.58414
Discard -30.52482-15.62457
Discard -34.64538-19.74513
Discard -35.70840-20.80815
Discard -37.04781-22.14756
Discard -39.35709-24.45684
Turn 16    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 20 }, a_{ 10 }^{ 20 }) \) \( \hat Q^\pi(s_{ 10 }^{ 20 }, a_{ 10 }^{ 20 }) + \Phi_{ 10 } \)
Discard -13.956550.94371
Discard -15.06460-0.16435
Discard -16.67872-1.77847
Discard -33.21141-18.31116
Discard -36.72578-21.82553
Discard -42.76476-27.86450
Discard -46.15436-31.25411
Turn 17    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 21 }, a_{ 10 }^{ 21 }) \) \( \hat Q^\pi(s_{ 10 }^{ 21 }, a_{ 10 }^{ 21 }) + \Phi_{ 10 } \)
Discard 7.3278522.22810
Discard -33.74302-18.84277
Discard -34.47724-19.57699
Discard -35.03474-20.13449
Discard -35.05058-20.15032
Discard -35.80827-20.90802
Discard -36.02647-21.12622
Discard -39.86978-24.96953
Turn 17    tenpai   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 10 }^{ 22 }, a_{ 10 }^{ 22 }) \) \( \hat Q^\pi(s_{ 10 }^{ 22 }, a_{ 10 }^{ 22 }) + \Phi_{ 10 } \)
Pass7.1904922.09074
Chii-72.92209-58.02184
Turn 18    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 10 }^{ 23 }, a_{ 10 }^{ 23 }) \) \( \hat Q^\pi(s_{ 10 }^{ 23 }, a_{ 10 }^{ 23 }) + \Phi_{ 10 } \)
Discard 9.2429224.14317
Discard -38.05428-23.15403
Discard -41.12406-26.22381
Discard -42.24073-27.34048
Discard -42.26213-27.36188
Discard -43.11501-28.21476
Discard -44.25877-29.35852
Discard -45.69736-30.79711
Turn 18    tenpai   
Player: Ron
Mortal: Ron
Action \( \hat Q^\pi(s_{ 10 }^{ 24 }, a_{ 10 }^{ 24 }) \) \( \hat Q^\pi(s_{ 10 }^{ 24 }, a_{ 10 }^{ 24 }) + \Phi_{ 10 } \)
Ron48.4916963.39194
Pass-108.14371-93.24346

Ron by Toimen👆5800

Replay viewer
Final placement EV at South 4 start
\( \Phi_{ 11 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 11 }^{self}] = 71.00881 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇3220064.6285831.734752.571821.06485
Shimocha👉2510011.5855641.7570338.966107.69131
Toimen👆2460019.5684119.0929347.9441713.39450
Kamicha👈181004.217457.4152910.5179177.84935
Turn 1    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 0 }, a_{ 11 }^{ 0 }) \) \( \hat Q^\pi(s_{ 11 }^{ 0 }, a_{ 11 }^{ 0 }) + \Phi_{ 11 } \)
Discard 0.7159971.72480
Discard -26.2657544.74306
Discard -32.7944638.21435
Discard -34.7538536.25497
Discard -35.5847235.42409
Discard -35.6024435.40637
Discard -37.6861533.32266
Discard -37.6873433.32147
Discard -38.5100432.49877
Discard -40.0681830.94064
Discard -40.6229830.38583
Discard -41.1457629.86306
Turn 1    3 shanten   
Player: Pon
Mortal: Pon
Action \( \hat Q^\pi(s_{ 11 }^{ 1 }, a_{ 11 }^{ 1 }) \) \( \hat Q^\pi(s_{ 11 }^{ 1 }, a_{ 11 }^{ 1 }) + \Phi_{ 11 } \)
Pon0.4471871.45599
Pass-3.0333567.97546
Turn 2    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 2 }, a_{ 11 }^{ 2 }) \) \( \hat Q^\pi(s_{ 11 }^{ 2 }, a_{ 11 }^{ 2 }) + \Phi_{ 11 } \)
Discard 0.5138671.52268
Discard -27.3480443.66077
Discard -29.2739741.73485
Discard -30.5235740.48524
Discard -32.5430938.46572
Discard -33.5291137.47971
Discard -34.1330336.87578
Discard -35.6363335.37248
Discard -39.5679431.44087
Discard -41.0020930.00672
Turn 3    2 shanten    #4/9
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 3 }, a_{ 11 }^{ 3 }) \) \( \hat Q^\pi(s_{ 11 }^{ 3 }, a_{ 11 }^{ 3 }) + \Phi_{ 11 } \)
Discard 1.8602572.86906
Discard -8.7274462.28137
Discard -24.1032246.90560
Discard -25.6665145.34230
Discard -27.6744143.33440
Discard -30.8522240.15659
Discard -34.0448036.96402
Discard -39.4502331.55859
Discard -40.3173730.69144
Turn 3    2 shanten   
Player: Pon
Mortal: Pon
Action \( \hat Q^\pi(s_{ 11 }^{ 4 }, a_{ 11 }^{ 4 }) \) \( \hat Q^\pi(s_{ 11 }^{ 4 }, a_{ 11 }^{ 4 }) + \Phi_{ 11 } \)
Pon0.4590771.46789
Pass-0.3598770.64894
Turn 4    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 5 }, a_{ 11 }^{ 5 }) \) \( \hat Q^\pi(s_{ 11 }^{ 5 }, a_{ 11 }^{ 5 }) + \Phi_{ 11 } \)
Discard 2.3050073.31381
Discard -10.7770360.23178
Discard -30.5123840.49643
Discard -31.1832539.82556
Discard -31.7219639.28685
Discard -37.8688333.13998
Discard -40.0366530.97216
Turn 5    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 6 }, a_{ 11 }^{ 6 }) \) \( \hat Q^\pi(s_{ 11 }^{ 6 }, a_{ 11 }^{ 6 }) + \Phi_{ 11 } \)
Discard 1.7664572.77526
Discard -28.0952942.91352
Discard -28.8027342.20608
Discard -34.6402936.36852
Discard -34.6926336.31618
Discard -39.4111231.59769
Turn 6    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 7 }, a_{ 11 }^{ 7 }) \) \( \hat Q^\pi(s_{ 11 }^{ 7 }, a_{ 11 }^{ 7 }) + \Phi_{ 11 } \)
Discard 1.9742572.98306
Discard -34.0737436.93507
Discard -35.8852235.12359
Discard -36.7433634.26545
Discard -39.9722431.03657
Discard -42.5526828.45613
Turn 7    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 8 }, a_{ 11 }^{ 8 }) \) \( \hat Q^\pi(s_{ 11 }^{ 8 }, a_{ 11 }^{ 8 }) + \Phi_{ 11 } \)
Discard 1.3908072.39961
Discard -18.4181752.59064
Discard -22.2797448.72907
Discard -30.1484340.86038
Discard -32.5830638.42575
Discard -35.8413235.16749
Turn 8    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 9 }, a_{ 11 }^{ 9 }) \) \( \hat Q^\pi(s_{ 11 }^{ 9 }, a_{ 11 }^{ 9 }) + \Phi_{ 11 } \)
Discard 1.2623372.27114
Discard -30.4588240.54999
Discard -33.0963937.91243
Discard -34.7451836.26363
Discard -35.2624135.74640
Discard -39.0256831.98313
Turn 9    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 10 }, a_{ 11 }^{ 10 }) \) \( \hat Q^\pi(s_{ 11 }^{ 10 }, a_{ 11 }^{ 10 }) + \Phi_{ 11 } \)
Discard 3.1640474.17285
Discard 1.9863372.99514
Discard -11.5516659.45715
Discard -16.4850254.52379
Discard -18.5408852.46793
Turn 10    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 11 }, a_{ 11 }^{ 11 }) \) \( \hat Q^\pi(s_{ 11 }^{ 11 }, a_{ 11 }^{ 11 }) + \Phi_{ 11 } \)
Discard 5.1310576.13986
Discard -19.6169851.39183
Discard -29.6459241.36289
Discard -30.5977540.41106
Turn 11    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 12 }, a_{ 11 }^{ 12 }) \) \( \hat Q^\pi(s_{ 11 }^{ 12 }, a_{ 11 }^{ 12 }) + \Phi_{ 11 } \)
Discard 5.4550276.46383
Discard -34.4872636.52155
Discard -34.8694936.13932
Discard -35.7996735.20914
Turn 12    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 13 }, a_{ 11 }^{ 13 }) \) \( \hat Q^\pi(s_{ 11 }^{ 13 }, a_{ 11 }^{ 13 }) + \Phi_{ 11 } \)
Discard 3.1130574.12186
Discard -35.0984535.91036
Discard -35.5893035.41951
Discard -36.6888134.32000
Turn 13    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 14 }, a_{ 11 }^{ 14 }) \) \( \hat Q^\pi(s_{ 11 }^{ 14 }, a_{ 11 }^{ 14 }) + \Phi_{ 11 } \)
Discard 2.8165073.82531
Discard -34.9022936.10652
Discard -35.1897235.81909
Discard -37.1220133.88680
Turn 14    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 15 }, a_{ 11 }^{ 15 }) \) \( \hat Q^\pi(s_{ 11 }^{ 15 }, a_{ 11 }^{ 15 }) + \Phi_{ 11 } \)
Discard 3.4183674.42717
Discard -32.6255438.38327
Discard -35.3838435.62497
Discard -36.7235234.28529
Turn 15    tenpai    #2/4
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 16 }, a_{ 11 }^{ 16 }) \) \( \hat Q^\pi(s_{ 11 }^{ 16 }, a_{ 11 }^{ 16 }) + \Phi_{ 11 } \)
Discard -1.9959569.01286
Discard -2.9955068.01331
Discard -5.3155165.69330
Discard -6.5859164.42290
Turn 16    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 17 }, a_{ 11 }^{ 17 }) \) \( \hat Q^\pi(s_{ 11 }^{ 17 }, a_{ 11 }^{ 17 }) + \Phi_{ 11 } \)
Discard 4.4120775.42088
Discard -21.1363749.87244
Discard -23.6347747.37404
Discard -24.6982046.31061
Turn 17    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 18 }, a_{ 11 }^{ 18 }) \) \( \hat Q^\pi(s_{ 11 }^{ 18 }, a_{ 11 }^{ 18 }) + \Phi_{ 11 } \)
Discard 7.6125978.62140
Discard -29.5150541.49377
Discard -30.7406940.26812
Discard -31.1164439.89237
Turn 18    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 11 }^{ 19 }, a_{ 11 }^{ 19 }) \) \( \hat Q^\pi(s_{ 11 }^{ 19 }, a_{ 11 }^{ 19 }) + \Phi_{ 11 } \)
Discard 6.8315177.84032
Discard -33.0554937.95332
Discard -33.6087637.40005
Discard -34.1788436.82997

Ron by Shimocha👉5500

Replay viewer
Final placement EV at South 4-1 start
\( \Phi_{ 12 } = (90, 45, 0, -135) \cdot \mathbb{E}[P_{ 12 }^{self}] = 66.25568 \)
Playerscore1st prob (%)2nd prob (%)3rd prob (%)4th prob (%)
Self👇3220054.5956540.084444.639610.68030
Shimocha👉251008.7980811.5361174.966824.69898
Toimen👆3040034.9621247.0735316.656631.30772
Kamicha👈123001.644141.305923.7369493.31300
Turn 1    4 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 0 }, a_{ 12 }^{ 0 }) \) \( \hat Q^\pi(s_{ 12 }^{ 0 }, a_{ 12 }^{ 0 }) + \Phi_{ 12 } \)
Discard -1.0911265.16456
Discard -29.8326136.42308
Discard -31.5714534.68423
Discard -31.8215534.43413
Discard -33.9822332.27345
Discard -40.1836726.07201
Discard -46.5866619.66903
Discard -47.1929819.06270
Discard -47.2254919.03019
Discard -48.2600617.99562
Discard -48.8201817.43551
Discard -49.5314716.72422
Discard -49.5443816.71131
Discard -50.6967715.55891
Turn 2    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 1 }, a_{ 12 }^{ 1 }) \) \( \hat Q^\pi(s_{ 12 }^{ 1 }, a_{ 12 }^{ 1 }) + \Phi_{ 12 } \)
Discard -3.5780962.67760
Discard -24.9567141.29897
Discard -32.8496633.40602
Discard -33.0691233.18657
Discard -33.9967932.25889
Discard -41.8689924.38669
Discard -45.8382920.41739
Discard -46.9591419.29655
Discard -48.5272317.72845
Discard -49.0275817.22810
Discard -49.1316917.12399
Discard -50.1555816.10010
Discard -51.3863514.86933
Discard -52.8698413.38584
Turn 3    3 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 2 }, a_{ 12 }^{ 2 }) \) \( \hat Q^\pi(s_{ 12 }^{ 2 }, a_{ 12 }^{ 2 }) + \Phi_{ 12 } \)
Discard -4.1282962.12739
Discard -14.8577451.39795
Discard -20.1834146.07227
Discard -21.1666645.08902
Discard -32.3225533.93314
Discard -36.9622429.29345
Discard -39.3667726.88891
Discard -40.6212725.63442
Discard -42.3393623.91632
Discard -43.1151823.14051
Discard -43.8359922.41969
Discard -44.6071321.64856
Discard -45.8682520.38743
Discard -47.6713818.58431
Turn 4    3 shanten    #2/14
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 3 }, a_{ 12 }^{ 3 }) \) \( \hat Q^\pi(s_{ 12 }^{ 3 }, a_{ 12 }^{ 3 }) + \Phi_{ 12 } \)
Discard -4.9364861.31920
Discard -11.2983354.95736
Discard -20.0591246.19656
Discard -22.3169943.93869
Discard -32.6942033.56148
Discard -34.4958631.75983
Discard -34.7805331.47516
Discard -35.4030530.85263
Discard -38.5468427.70885
Discard -39.6719226.58377
Discard -40.0271726.22852
Discard -40.2155226.04016
Discard -40.3421125.91357
Discard -44.2398922.01579
Turn 5    3 shanten    #2/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 4 }, a_{ 12 }^{ 4 }) \) \( \hat Q^\pi(s_{ 12 }^{ 4 }, a_{ 12 }^{ 4 }) + \Phi_{ 12 } \)
Discard -6.9025159.35318
Discard -11.9727654.28293
Discard -26.0524340.20325
Discard -28.3471237.90856
Discard -30.2635735.99211
Discard -35.1170531.13863
Discard -36.0551330.20055
Discard -36.3646029.89108
Discard -37.5655828.69010
Discard -39.9128026.34288
Discard -40.5661725.68951
Discard -41.6328424.62285
Discard -45.3506320.90506
Turn 6    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 5 }, a_{ 12 }^{ 5 }) \) \( \hat Q^\pi(s_{ 12 }^{ 5 }, a_{ 12 }^{ 5 }) + \Phi_{ 12 } \)
Discard -7.9007358.35495
Discard -9.2884156.96727
Discard -22.0283844.22730
Discard -27.7826738.47301
Discard -28.8994137.35627
Discard -28.9337337.32195
Discard -29.7722636.48342
Discard -32.1927934.06290
Discard -34.2066032.04908
Discard -36.6245929.63109
Discard -37.6345828.62110
Discard -39.7533726.50231
Discard -43.6131222.64257
Turn 6    2 shanten   
Player: Pass
Mortal: Pass
Action \( \hat Q^\pi(s_{ 12 }^{ 6 }, a_{ 12 }^{ 6 }) \) \( \hat Q^\pi(s_{ 12 }^{ 6 }, a_{ 12 }^{ 6 }) + \Phi_{ 12 } \)
Pass-8.1236158.13207
Pon-34.0699032.18579
Turn 7    2 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 7 }, a_{ 12 }^{ 7 }) \) \( \hat Q^\pi(s_{ 12 }^{ 7 }, a_{ 12 }^{ 7 }) + \Phi_{ 12 } \)
Discard -7.7996558.45603
Discard -17.3562448.89944
Discard -21.8643844.39131
Discard -24.0773742.17831
Discard -34.3241531.93153
Discard -34.8750431.38065
Discard -35.1575131.09817
Discard -35.8487630.40692
Discard -36.5256229.73006
Discard -42.3984223.85726
Discard -43.1971423.05854
Discard -45.4580820.79760
Discard -46.1829320.07276
Turn 8    2 shanten    #2/12
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 8 }, a_{ 12 }^{ 8 }) \) \( \hat Q^\pi(s_{ 12 }^{ 8 }, a_{ 12 }^{ 8 }) + \Phi_{ 12 } \)
Discard -7.8879058.36779
Discard -9.5547756.70091
Discard -10.8954755.36021
Discard -18.5464247.70926
Discard -21.5847444.67095
Discard -22.6206543.63504
Discard -25.1585641.09712
Discard -25.3911040.86459
Discard -27.3509638.90473
Discard -31.5878534.66783
Discard -33.9568332.29886
Discard -37.8948928.36079
Turn 9    2 shanten    #5/13
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 9 }, a_{ 12 }^{ 9 }) \) \( \hat Q^\pi(s_{ 12 }^{ 9 }, a_{ 12 }^{ 9 }) + \Phi_{ 12 } \)
Discard -6.3021859.95350
Discard -20.8029245.45276
Discard -21.7477744.50791
Discard -21.7746544.48104
Discard -25.3887240.86696
Discard -32.9724833.28320
Discard -34.4703631.78532
Discard -35.9171730.33852
Discard -36.7999029.45578
Discard -37.3509728.90472
Discard -39.6321326.62356
Discard -40.7447525.51093
Discard -41.3447324.91096
Turn 10    1 shanten   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 10 }, a_{ 12 }^{ 10 }) \) \( \hat Q^\pi(s_{ 12 }^{ 10 }, a_{ 12 }^{ 10 }) + \Phi_{ 12 } \)
Discard -3.9135462.34214
Riichi-4.4852061.77048
Discard -9.0852657.17042
Discard -21.2817644.97392
Discard -22.3984743.85722
Discard -22.6509343.60476
Discard -25.6982640.55743
Discard -28.8089637.44672
Discard -29.8462136.40948
Discard -30.1307036.12498
Discard -30.9001635.35552
Discard -33.6259332.62975
Discard -33.6444132.61127
Discard -33.9234632.33223
Turn 11    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 11 }, a_{ 12 }^{ 11 }) \) \( \hat Q^\pi(s_{ 12 }^{ 11 }, a_{ 12 }^{ 11 }) + \Phi_{ 12 } \)
Discard -4.8722261.38347
Discard -5.7811960.47450
Discard -8.5280057.72769
Riichi-16.1447950.11090
Discard -21.8211844.43451
Discard -28.1411538.11454
Discard -32.2709033.98478
Discard -32.3915333.86415
Discard -32.9886533.26704
Discard -33.2399633.01572
Discard -33.9096832.34601
Discard -34.3471531.90853
Discard -35.4746730.78102
Discard -36.8243929.43129
Turn 12    tenpai   
Player: Discard
Mortal: Discard
Action \( \hat Q^\pi(s_{ 12 }^{ 12 }, a_{ 12 }^{ 12 }) \) \( \hat Q^\pi(s_{ 12 }^{ 12 }, a_{ 12 }^{ 12 }) + \Phi_{ 12 } \)
Discard -3.2361063.01958
Discard -4.7816161.47407
Discard -16.1078950.14780
Riichi-17.2987448.95695
Discard -25.1350741.12062
Discard -28.9813837.27431
Discard -30.5154435.74024
Discard -32.6257633.62992
Discard -32.6953833.56030
Discard -33.2583332.99735
Discard -34.0021232.25356
Discard -35.8886930.36700
Discard -36.3269229.92877