Black Hole
May contain traces of nut
Regular readers will know I've been picking holes in the star rating the Daily Mail gives its Kurosu puzzles (it is not uncommon the three-star require less deductive reasoning than two-star examples). Rarely are they all that challenging, the real challenge being to work out how challenging they are on a relative scale without regard to personal bias.
Well, today's "three star" merits its rating - it's the trickiest I have come across, and I would award it 5 Black Holes if I was sure there could not be a trickier one.
BH Rating: ●︎●︎●︎●︎○︎
The objective is to complete the 6x6 grid with X's and O's, so that all rows and all columns contain exactly three X's and three O's, and there are no horizontal or vertical runs of three adjacent X's or O's.
Well, today's "three star" merits its rating - it's the trickiest I have come across, and I would award it 5 Black Holes if I was sure there could not be a trickier one.
Code:
———————————————————————
| | | | | | X |
|———|———|———|———|———|———|
| O | | | | O | |
|———|———|———|———|———|———|
| | | | X | | |
|———|———|———|———|———|———|
| | X | X | | | |
|———|———|———|———|———|———|
| | | | | | X |
|———|———|———|———|———|———|
| | | X | | O | |
———————————————————————
BH Rating: ●︎●︎●︎●︎○︎
The objective is to complete the 6x6 grid with X's and O's, so that all rows and all columns contain exactly three X's and three O's, and there are no horizontal or vertical runs of three adjacent X's or O's.
Inference Level 1: If a row or column already contains three of one symbol, the remaining squares must be filled with the other symbol.
Inference Level 2: If there is a space between two of one symbol, or a space adjacent to two of one symbol, the space must be filled with the other symbol.
Inference Level 3: If filling a space with one symbol would cause a run of three of the other symbol elsewhere in that row or column, the space can't be occupied by that symbol.
Inference levels 1-3 are localised to single rows or columns, but I have not yet come across any deeper inference than Level 3. Solving the puzzle above requires four separate applications of Level 3.
Inference Level 2: If there is a space between two of one symbol, or a space adjacent to two of one symbol, the space must be filled with the other symbol.
Inference Level 3: If filling a space with one symbol would cause a run of three of the other symbol elsewhere in that row or column, the space can't be occupied by that symbol.
Inference levels 1-3 are localised to single rows or columns, but I have not yet come across any deeper inference than Level 3. Solving the puzzle above requires four separate applications of Level 3.
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