Archive for the ‘Puzzle’ Category:

Araf (Inequality) by Dan Katz

Araf by Dan Katz

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 1st puzzle from guest contributor Dan Katz.

Rules: Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain exactly two given numbers, one in a yellow circle (>) and one in a red circle (<). Each region must have an area that is strictly between those numbers. Note: This idea to "simplify" Araf puzzles comes from Prasanna Seshadri, whose example of this variation will appear tomorrow. Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. Separate the rows with a comma.

Time Standards (highlight to view): Grandmaster = 1:20, Master = 3:00, Expert = 6:00

Solution: PDF

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf. An example image for a “classic” Araf puzzle is here.

Araf by Thomas Snyder

Araf by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools with a composite mode for line/edge drawing.)

Theme: Aisles

Author/Opus: This is the 177th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Divide the grid into some regions formed of edge-adjacent squares. Each cell is part of one region, and each region should contain exactly two given numbers. Each region must have an area that is strictly between those numbers (This means, for two number clues A and B with A < B, the area C fulfills A < C < B).

Araf Example

Answer String: Enter the number of cells in each connected group (between bold lines) in the marked rows. For the example above, this is “34,121111,4111”.

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:15, Expert = 2:30

Solution: PDF

Note: Araf is a relatively new puzzle for us on GMPuzzles. Follow this link for other Araf.

Bonus: Double Minesweeper by Serkan Yürekli

Double Minesweeper by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools. Use left click to place 1 or 2 mines, right click (in cell) to mark unused, right click (on edge/corner) to mark a note; hitting tab will also enable a shading mode. If you want more solving options, turn off Penpa-Lite option.)

Theme: Symmetry and Logic (Note: this puzzle originally appeared in this year’s 24H Puzzle Championship.)

Author/Opus: This is the 45th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Place either 0, 1, or 2 mines into each empty cell so that each number represents the total count of mines in all neighboring cells, including diagonally adjacent cells. See also this example:

Double Minesweeper by Serkan Yürekli

Answer String: For each cell in the marked columns, enter the number of mines (0, 1, 2) for each cell. Enter 0 if the cell is a number cell. Separate each column’s entry from the next with a comma. In the example (with marked rows), the answer is “022102,002000”.

Time Standards (highlight to view): Grandmaster = 6:00, Master = 9:30, Expert = 19:00

Solution: PDF

Note: Click here for other Double Minesweeper puzzles.

Heavy Dots by Prasanna Seshadri

Heavy Dots by Prasanna Seshadri

PDF

or solve online (using our beta test of Penpa-Edit tools in a composite mode for line/edge drawing.)

Theme: Clue Symmetry and Logic

Author/Opus: This is the 22nd puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Draw vertical/horizontal lines between dots to divide the grid into regions. A region may contain at most one number, equal to the area of the region. No region may cover a 2×2 area. Some dots are “heavy” and have 3 or 4 lines connected to them. Black circles indicate heavy dots with exactly three lines; white circles indicate heavy dots with four lines. Not all heavy dots are given, but there can be no heavy dots orthogonally adjacent to the indicated ones. In other words, there may be only 2 lines from any unmarked dot adjacent to a white/black circle (these dots are gray in the example).

Heavy Dots example by Prasanna Seshadri

Answer String: Enter the length of groups of white cells in the same area in the marked rows. For this example, the answer is “11212, 1132”

Time Standards (highlight to view): Grandmaster = 8:30, Master = 14:00, Expert = 28:00

Solution: PDF; a solution video is available here.

Note: This is a new puzzle style, so it is recommended to carefully review and solve the example first to get used to the thinking and all the rules.

Thermo-Skyscraper Sudoku by Hans van Stippent

Thermo-Skyscraper Sudoku by Hans van Stippent

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: No Givens

Author/Opus: This is the 5th puzzle from guest contributor Hans van Stippent.

Note: we’ve been holding onto this puzzle for awhile; it was inspired by last year’s USPC Thermo-Skyscrapers puzzle and, by adding in the sudoku constraints, makes a nice challenge before this weekend’s US Sudoku Qualifying Test.

Rules: Standard Thermo-Sudoku rules. Also, any digits in the thermometer shapes outside of the grid are Skyscraper clues, representing the number of buildings seen inside the grid in that direction as in a regular Skyscrapers puzzle. (Note: digits in a thermometer must be strictly increasing even when outside the grid, so do not repeat any digits within a thermometer.)

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 6th row from left to right. Note: only enter the 9 digits inside the grid in these rows, not any of the outside skyscraper clues.

Time Standards (highlight to view): Grandmaster = 5:30, Master = 9:30, Expert = 19:00

Solution: PDF

Note: Follow this link for more Thermo-Sudoku puzzles. If you are new to this puzzle type, here are our easiest Thermo-Sudoku to get started on. More Thermo-Sudoku puzzles can be found in The Art of Sudoku 2.

Bonus: Double Minesweeper by Serkan Yürekli

Double Minesweeper by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools. Use left click to place 1 or 2 mines, right click (in cell) to mark unused, right click (on edge/corner) to mark a note; hitting tab will also enable a shading mode. If you want more solving options, turn off Penpa-Lite option.)

Theme: Symmetry and Logic (Note: this puzzle originally appeared in this year’s 24H Puzzle Championship.)

Author/Opus: This is the 44th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Place either 0, 1, or 2 mines into each empty cell so that each number represents the total count of mines in all neighboring cells, including diagonally adjacent cells. See also this example:

Double Minesweeper by Serkan Yürekli

Answer String: For each cell in the marked rows, enter the number of mines (0, 1, 2) for each cell. Enter 0 if the cell is a number cell. Separate each row’s entry from the next with a comma. In this example, the answer is “022102,002000”.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:00, Expert = 4:00

Solution: PDF

Note: This is a bonus puzzle and is not tied to a normal weekly difficulty rating. Click here for other Double Minesweeper puzzles.

Dominion by Serkan Yürekli

Dominion by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: C Sharp

Author/Opus: This is the 43rd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Shade some empty cells black to form a set of dominoes (1×2 rectangles) that divides the grid into white regions; the dominoes cannot overlap or share an edge. Each region must contain exactly one type of given letter, and must also contain all instances of that letter (i.e. there cannot be two regions that contain C). See also this example:

Dominion by Serkan Yürekli

Answer String: Enter the length of the unshaded segments in order in the marked rows/columns. Separate the groups with a comma. For this example, the answer is “25,132”

Time Standards (highlight to view): Grandmaster = 3:30, Master = 5:30, Expert = 11:00

Solution: PDF

Bonus: Double Minesweeper by Serkan Yürekli

Double Minesweeper by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools. Use left click to place 1 or 2 mines, right click (in cell) to mark unused, right click (on edge/corner) to mark a note; hitting tab will also enable a shading mode. If you want more solving options, turn off Penpa-Lite option.)

Theme: Symmetry and Logic (Note: this puzzle originally appeared in this year’s Japan dakejanai Zukei dakejanai Puzzle Championship.)

Author/Opus: This is the 42nd puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Place either 0, 1, or 2 mines into each empty cell so that each number represents the total count of mines in all neighboring cells, including diagonally adjacent cells. See also this example:

Double Minesweeper by Serkan Yürekli

Answer String: For each cell in the marked rows, enter the number of mines (0, 1, 2) for each cell. Enter 0 if the cell is a number cell. Separate each row’s entry from the next with a comma. In this example, the answer is “022102,002000”.

Time Standards (highlight to view): Grandmaster = 1:15, Master = 1:45, Expert = 3:30

Solution: PDF

Note: This is a bonus puzzle and is not tied to a normal weekly difficulty rating. Click here for other Double Minesweeper puzzles.

TomTom by Grant Fikes

TomTom by Grant Fikes

PDF

or solve online (using our beta test of Penpa-Edit tools)

Theme: Hourglass

Author/Opus: This is the 103rd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard TomTom rules, using the integers 1-6.

Answer String: Enter the 1st row from left to right, followed by a comma, followed by the 6th row from left to right.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:15, Expert = 4:30

Solution: PDF

Note: Follow this link for other classic TomTom. If you are new to this puzzle type, here are our easiest TomTom to get started on.

Slitherlink (Sheep and Wolves) by Grant Fikes

Slitherlink by Grant Fikes

PDF

or solve online (using our beta test of Penpa-Edit tools in edgex mode where left click+drag draws lines and right click marks X’s)

Theme: Symmetrical Clues (allowing for rotations and reflections)

Author/Opus: This is the 102nd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Slitherlink rules. Also, there are some sheep (marked by a reflected 2 in blue) that must be inside the loop and some wolves (marked by a rotated 3 in red) that must be outside the loop.

(Note: the reflected/rotated digits in blue and red do not actually serve as loop clues meaning 2 and 3, just as sheep and wolves. We chose this presentation because the theme works better with the wackiness of some 2’s and 3’s even if it needs this extra note.)

Answer String: Enter the length in cells of each of the internal loop segments following the arrows for the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 2:30, Expert = 5:00

Solution: PDF

Note: Follow this link for other Slitherlink variations and this link for classic Slitherlink. If you are new to this puzzle type, here are our easiest Slitherlink puzzles to get started on.