Akari

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Rules[edit]

Akari Example.png Akari Example Solution.png

Locate some "light bulbs" in the grid such that every white cell is "lit up". Each bulb occupies a single white cell, and lights up its own cell, as well as white cells in the four orthogonal directions until the light beam encounters a black square or the edge of the grid. A bulb may not illuminate another light bulb. All white cells must be lit up by at least one bulb. A given number in a black cell indicates how many cells orthogonally adjacent to it are occupied by bulbs.

(Rules and example from PGP IB)

History of the puzzle[edit]

First appeared on Nikoli volume 95 (2001). Invented by あさおきたん ("Asaokitan"). Original name 美術館 ("Bijutsukan") means "art museum" and it is possibly a reference to art gallery problem, a well-known problem in computational geometry.

The name Akari means "light" in Japanese and is an English name given by Nikoli Co., Ltd. to 美術館.

Variants[edit]

Regional Akari[edit]

Regional Akari Example.png Regional Akari Example Solution.png

Invented by Naoki Inaba (Japan) in 2011 under the name アマテラス ("Amaterasu": the Sun goddess of Japanese myths).[1] The name Regional Akari was given by Bram de Laat (Netherlands) in 2012.

Locate some light bulbs in the grid such that every white cell is "lit up". A bulb may not illuminate another light bulb. All white cells must be lit up by at least one bulb. Each region contains exactly one lightbulb.

(Example from WPC 2018 IB)

Appearances in the past WPCs[edit]

References[edit]