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|title1=What is the critical colour?
|title1=What is the critical colour?
|body1='''Grouped by colour:'''
|body1='''Grouped by colour:'''
:{{cardholder|c={{y}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hy|5|p=D|d=#324}}{{Hk|p=E|d=#324}} }}
:{{cardholder|b={{y}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hy|5|p=D|d=#324}}{{Hk|p=E|d=#324}} }}
:{{cardholder|c={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|4|p=C}}{{Hk|p=D}}{{Hk|p=E}} }} {{cardholder|c={{r}}|{{Hr|5|p=A}} }}
:{{cardholder|b={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|4|p=C}}{{Hk|p=D}}{{Hk|p=E}} }} {{cardholder|b={{r}}|{{Hr|5|p=A}} }}
:{{cardholder|c={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|2|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hk|p=D|d=#324}}{{Hw|3|p=E|d=#324}} }} {{cardholder|c={{w}}|{{Hw|4|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}
:{{cardholder|b={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|2|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hk|p=D|d=#324}}{{Hw|3|p=E|d=#324}} }} {{cardholder|b={{w}}|{{Hw|4|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}


'''white''' (1 clue + 4 plays + 3 empty = 8 turns)
'''white''' (1 clue + 4 plays + 3 empty = 8 turns)
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|body1=
|body1=
'''1. Group by colour:'''
'''1. Group by colour:'''
:{{cardholder|c={{y}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hy|5|p=D|d=#324}}{{Hk|p=E|d=#324}} }}
:{{cardholder|b={{y}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hy|5|p=D|d=#324}}{{Hk|p=E|d=#324}} }}
:{{cardholder|c={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|4|p=C}}{{Hk|p=D}}{{Hk|p=E}} }} {{cardholder|c={{r}}|{{Hr|5|p=A}} }}
:{{cardholder|b={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|4|p=C}}{{Hk|p=D}}{{Hk|p=E}} }} {{cardholder|b={{r}}|{{Hr|5|p=A}} }}
:{{cardholder|c={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|2|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hk|p=D|d=#324}}{{Hw|3|p=E|d=#324}} }} {{cardholder|c={{w}}|{{Hw|4|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}
:{{cardholder|b={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|2|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hk|p=D|d=#324}}{{Hw|3|p=E|d=#324}} }} {{cardholder|b={{w}}|{{Hw|4|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}


'''2. Serialise:'''
'''2. Serialise:'''
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|body2=
|body2=
'''1. Group by colour:'''
'''1. Group by colour:'''
:{{cardholder|c={{y}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hy|5|p=D|d=#324}}{{Hk|p=E|d=#324}} }}
:{{cardholder|b={{y}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hy|5|p=D|d=#324}}{{Hk|p=E|d=#324}} }}
:{{cardholder|c={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|4|p=C}}{{Hk|p=D}}{{Hk|p=E}} }} {{cardholder|c={{r}}|{{Hr|5|p=A}} }}
:{{cardholder|b={{r}}|{{Hk|p=A}}{{Hk|p=B}}{{Hr|4|p=C}}{{Hk|p=D}}{{Hk|p=E}} }} {{cardholder|b={{r}}|{{Hr|5|p=A}} }}
:{{cardholder|c={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|2|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hw|3|p=D|d=#324}}{{Hw|4|p=E|d=#324}} }} {{cardholder|c={{w}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}
:{{cardholder|b={{w}}|{{Hw|p=A|d=#324|c=}}{{Hw|2|p=B|d=#324}}{{Hk|p=C|d=#324}}{{Hw|3|p=D|d=#324}}{{Hw|4|p=E|d=#324}} }} {{cardholder|b={{w}}|{{Hk|p=A|d=#324}}{{Hk|p=B|d=#324}}{{Hw|5|p=C|d=#324}} }}


'''2. Serialise:'''
'''2. Serialise:'''

Revision as of 15:31, 1 August 2025

Extra examples from Sammy's Hanabi page

⚠ Work in progress

Interpretation

2025-07-05

red5,with a red 5clue,white2,with a white 2clue,red2,with a red 2clue,yellow4,with a yellow 4clue, Alice 🡲

yellow2,with a yellow 2clue,green1,with a green 1clue,blue2,with a blue 2clue,multicolour4,with a multicolour 4clue, Bob 🡲

multicolour1,with a multicolour 1clue,red4,with a red 4clue,blue4,with a blue 4clue,black powder2,with a black powder 2clue, Cathy 🡲

yellow1,with a yellow 1clue,multicolour5,with a multicolour 5clue,white5,with a white 5clue,yellow3,with a yellow 3clue, Donald 🡲

Played
red2,with a red 2clue, yellow1,with a yellow 1clue, green1,with a green 1clue, blue2,with a blue 2clue, white2,with a white 2clue, multicolour2,with a multicolour 2clue, black powder3,with a black powder 3clue,
Discarded
red4,with a red 4clue, yellow3,with a yellow 3clue, green4,with a green 4clue, blue3,with a blue 3clue, blue1,with a blue 1clue, white1,with a white 1clue, black powder4,with a black powder 4clue, black powder2,with a black powder 2clue,
Alice's view
Donald's view

white2,with a white 2clue, red2,with a red 2clue, are known trash

yellow3,with a yellow 3clue, is known not trash

2024-08-02

Complex example with gap between clue giver and first response:

  • A clues yellow4,with a yellow 4clue,
  • B does something unrelated
  • C plays yellow1,with a yellow 1clue,
  • D plays black powder3,with a black powder 3clue, as yellow2,with a yellow 2clue,
  • E has yellow3,with a yellow 3clue, marked
  • Why isn't it layered? 🡆 Wrong question
  • Should be thinking: can it be a bluff? / do I need to keep playing?
  • Alice's view
  • Donald's view

Endgame

3cards in the deck red3,with a red 3clue, yellow4,with a yellow 4clue, green5,with a green 5clue, blue5,with a blue 5clue, white1,with a white 1clue, 3 clue tokens

card back,with a clue,card back,with a clue,card back4,with a 4clue,card back5,with a 5clue, Alice 🡲 white2,with a white 2clue,black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue, Bob 🡲 black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,white5,with a white 5clue, Cathy 🡲 white3,with a white 3clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue, Donald 🡲 white4,with a white 4clue,black powder,with a black powder clue,black powder,with a black powder clue,white3,with a white 3clue, Emily 🡲

What is the critical colour?
Grouped by colour:
black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue,black powder,with a black powder clue, ​
black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
white,with a white clue,white2,with a white 2clue,black powder,with a black powder clue,black powder,with a black powder clue,white3,with a white 3clue, ​ white4,with a white 4clue,black powder,with a black powder clue,white5,with a white 5clue, ​
white (1 clue + 4 plays + 3 empty = 8 turns)
What is the critical card?
white2,with a white 2clue,
What is the critical move?
​
A) Alice clues Bob white2,with a white 2clue, / white2,with a white 2clue, hint: don't choose A
B) Alice clues Donald white3,with a white 3clue, / white3,with a white 3clue,
C) Alice clues Emily white4,with a white 4clue, / white4,with a white 4clue,
D) Alice discards white4,with a white 4clue,
E) Alice (mis)plays white4,with a white 4clue,
F) Alice discards slot 1
G) Alice (mis)plays slot 1

What is the maximum score?

29
1. Group by colour:
black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue,black powder,with a black powder clue, ​
black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
white,with a white clue,white2,with a white 2clue,black powder,with a black powder clue,black powder,with a black powder clue,white3,with a white 3clue, ​ white4,with a white 4clue,black powder,with a black powder clue,white5,with a white 5clue, ​

2. Serialise:

white,with a white clue,white2,with a white 2clue,red4,with a red 4clue,yellow5,with a yellow 5clue,white3,with a white 3clue, ​ white4,with a white 4clue,black powder,with a black powder clue,white5,with a white 5clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
3cards in the deck2cards in the deck1cards in the deck0cards in the deckcards in the deck ​ cards in the deckcards in the deckcards in the deckcards in the deck ​
  • There are not enough turns for Alice to clue white2,with a white 2clue, and play both white4,with a white 4clue, and red5,with a red 5clue,.
  • Can Alice shorten the critical path?
30
1. Group by colour:
black powder,with a black powder clue,black powder,with a black powder clue,black powder,with a black powder clue,yellow5,with a yellow 5clue,black powder,with a black powder clue, ​
black powder,with a black powder clue,black powder,with a black powder clue,red4,with a red 4clue,black powder,with a black powder clue,black powder,with a black powder clue, ​ red5,with a red 5clue, ​
white,with a white clue,white2,with a white 2clue,black powder,with a black powder clue,white3,with a white 3clue,white4,with a white 4clue, ​ black powder,with a black powder clue,black powder,with a black powder clue,white5,with a white 5clue, ​

2. Serialise:

white,with a white clue,white2,with a white 2clue,red4,with a red 4clue,white3,with a white 3clue,white4,with a white 4clue, ​ red5,with a red 5clue,black powder,with a black powder clue,white5,with a white 5clue,yellow5,with a yellow 5clue, ​
3cards in the deck2cards in the deck1cards in the deck0cards in the deckcards in the deck ​ cards in the deckcards in the deckcards in the deckcards in the deck ​
  • Alice clues the unmarked white4,with a white 4clue, in Emily's hand (finesse) so that Alice has one card fewer to play and shortens the critical path.
Solution
:A) Alice clues Bob white2,with a white 2clue, / white2,with a white 2clue, ❌ does not get the unmarked white3,with a white 3clue, / white4,with a white 4clue,
B) Alice clues Donald white3,with a white 3clue, / white3,with a white 3clue, ❌ does not get the unmarked white4,with a white 4clue,
C) Alice clues Emily white4,with a white 4clue, / white4,with a white 4clue, ❌ does not get the unmarked white3,with a white 3clue,
D) Alice discards white4,with a white 4clue, ✅ finesses up to white4,with a white 4clue,
E) Alice (mis)plays white4,with a white 4clue, ❌ interpretation = [Gamehelphanabi#Advanced positional misplay]
F) Alice discards slot 1 ✅ Donald and Emily both see Alice could have clued instead white4,with a white 4clue,
G) Alice (mis)plays slot 1 ❌ interpretation: [Gamehelphanabi#Advanced positional misplay]
Other possible options include trash push if both of Emily's other cards are the same rank (not 4) or colour (not white) e.g red1,with a red 1clue,yellow1,with a yellow 1clue, then Alice could clue red1,with a red 1clue,yellow1,with a yellow 1clue, to Emily.