# Clueless

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start

Start by trying to figure out which letters are assigned to which colors, and figuring out the rule for this. You should find that each color is used by exactly five letters.

start

Try to identify a cooperative card game which is themed about fireworks and which has cards in five colors with five ranks.

chances

The denominators are factorial numbers, and indicate the number of cards remaining in the deck. Try to win the game in any way possible with the current cards and the specified number of cards in the deck.

rules

Given the number of cards in the deck, the current board state, and starting with no clues, try to win the game in any way possible. You should find there is a unique way to do this (with any other information being used only for confirmation or extraction). If you aren't familiar with the rules of Hanabi, read those carefully first; the small details matter for this puzzle.

impossible

Keep in mind that in Hanabi, playing a 5 restores a clue for the team.

five, impossible

Keep in mind that in Hanabi, playing a 5 restores a clue for the team. This allows players to stall for time by giving clues.

In most sub-puzzles, the number of cards in the deck is very low, which limits the number of discards possible. Each card that is played or discarded decreases the deck by one, and only four plays are permitted after the last card is drawn.

So for example, if there are nine cards to play but five cards in the deck, no more discards are possible, and every player must play in the last round.

extraction

Overlap the letters in the plan with the actual plays and find the matching letters to extract a crossword-style cluephrase. Once you have the cluephrase, give the nine-letter answer for that cluephrase.

Erratum:

January 18th 00:32 EST: In the box with "A BIG FUEL VESSEL", the yellow G was changed to a yellow L.

The team has figured out what they're holding, but they're out of clues and running out of time. How can they win?

Current status: ATVWX
1. BCDE (starts)
2. BCDU
3. FGHY
4. IKNS
Chances: 1 in 2
Plan: PUFF-UPS
Current status: DJKRV
1. IOPW (starts)
2. BBEX
3. CCIP
4. AOTY
Chances: 4 in 720
Plan: FIVES WIN THIS
Current status: BNWY
1. ACDE (starts)
2. BUVX
3. HLMR
4. CDEL
Chances: 6 in 362880
Plan: A BIG FUEL VESSEL
Current status: FNRV
1. DDWX (starts)
2. APTT
3. BBOO
4. CCJJ
Chances: 12 in 40320
Plan: FIRE EPIC BLOSSOM
Current status: AVX
1. DINS (starts)
2. AABF
3. GLRR
4. KOOW
Chances: 2 in 39916800
Plan: PYROPHORIC ROOFTOPS
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