Archive for the ‘Variation’ Category:

Sunday Stumper: Japanese Sums (Battleships) by John Bulten

Since 2021, we have posted some extra difficult Sunday Stumpers, about once a month. These will be quite tough puzzles, but with a logical path to be found (and solution videos to help). This seventh Sunday Stumper of 2022 is a variation of Japanese Sums by John Bulten.

Japanese Sums (Battleships) by John Bulten

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between number entry and shading modes.)

Theme: Yamato

Author/Opus: This is the 88th puzzle from our contributing puzzlemaster John Bulten.

Rules: Standard Japanese Sums rules: Place the numbers in the indicated range (1-9) in some of the cells so that no number is repeated in any row or column. Numbers on the outside of the grid indicate the sums of adjacent number groups in that row or column, in order. Each sum is separated by at least one unused cell. A ? can represent any sum of 1 or larger.

Also, all unused cells must form an unknown fleet of 1-cell wide ships in the grid. Each segment of a ship occupies a single cell, and ships do not touch each other, even diagonally.

Japanese Sums Example

Difficulty: 5 stars

Time Standards (highlight to view): Grandmaster = 18:30, Master = 30:00, Expert = 1:00:00

Solution: To be posted tomorrow on this post once live.

Note: Follow this link for other Japanese Sums puzzles.

————
Saturday’s Solution: “Why was 6 Afraid of 7?” Japanese Sums by Sam Cappleman-Lynes: PDF and solving video.

Easy as Japanese Sums by Serkan Yürekli

Easy as Japanese Sums by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between number entry and shading modes.)

Theme: 1 to 10

Author/Opus: This is the 372nd puzzle from our managing editor Serkan Yürekli.

Rules: Fill some cells with numbers 1-4 so that each row and column contains each number from 1 to 4 exactly once as well as two empty cells. Numbers outside of the grid indicate the sum of all numbers in the first connected group in that direction as in a Japanese Sums puzzle.

Japanese Sums Example

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 2:00, Master = 3:15, Expert = 6:30

Solution: To be posted tomorrow on this post once live.

Note: Follow this link for other Japanese Sums puzzles.

————
Saturday’s Solution: “High Five” Japanese Sums by JinHoo Ahn: PDF and solving video.

Balance Loop (Inequality) by Prasanna Seshadri

Balance Loop by Prasanna Seshadri

(view directly for a larger image)

PDF

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

Theme: Diamonds

Author/Opus: This is the 237th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Balance Loop rules. Also, number clues are not fully specified and must strictly follow the inequality values given.

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 9:00, Master = 16:00, Expert = 32:00

Solution: PDF and solving video.

Note: Follow this link for other Balance Loop puzzles. If you are new to this puzzle type, here are our easiest Balance Loop Puzzles to get started on. More Balance Loops can be found in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli and in Balance Loop by Prasanna Seshadri and Murat Can Tonta.

Balance Loop (Either/Or) by Serkan Yürekli

Balance Loop by Serkan Yürekli

PDF

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

Author/Opus: This is the 371st puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Balance Loop rules. Each circle clue has either an incorrect color or an incorrect number. If the color is incorrect, the real clue should have the opposite color. If the number is incorrect, the real clue should have a number one more or one less than the given number.

Difficulty: 3 stars

Time Standards (highlight to view): Grandmaster = 3:00, Master = 4:45, Expert = 9:30

Solution: PDF and solving video.

Note: Follow this link for other Balance Loop puzzles. If you are new to this puzzle type, here are our easiest Balance Loop Puzzles to get started on. More Balance Loops can be found in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli and in Balance Loop by Prasanna Seshadri and Murat Can Tonta.

Balance Loop (Half Balance) by Bryce Herdt

Balance Loop by Bryce Herdt

PDF

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

Theme: BALANCE

Author/Opus: This is the 22nd puzzle from guest contributor Bryce Herdt.

Rules: Variation of Balance Loop rules. (Draw a single, non-intersecting loop that passes through all circled cells. All white circles must have equal segment lengths on both sides of the circle before turning. All black circles must have unequal segment lengths on both sides of the circle before turning.)

Numbers, where given, indicate the length of only one of the two loop segments coming out from the circle. All other rules for the loop are the same as usual.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:50, Master = 1:15, Expert = 2:30

Solution: PDF and solving video.

Note: Follow this link for other Balance Loop puzzles. If you are new to this puzzle type, here are our easiest Balance Loop Puzzles to get started on. More Balance Loops can be found in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli and in Balance Loop by Prasanna Seshadri and Murat Can Tonta.

Snake Pit X by Joseph Howard

Snake Pit X by Joseph Howard

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Series

Author/Opus: This is the 30th puzzle from guest contributor Joseph Howard.

Rules: (Hybrid of Fillomino and Snake Puzzles.) Divide the grid along the boundary lines so that every cell belongs to a snake. A snake is a one-cell-wide path at least two cells long that does not touch itself, not even diagonally. Circled cells must be at one of the ends of a snake. A snake may contain one circled cell, two circled cells, or no circled cells at all. Numbered cells must be part of a snake with a length of exactly that number of cells. A snake may contain one number, multiple identical numbers, or no numbers at all. Two snakes of the same length cannot touch each other horizontally or vertically. Cells with an X cannot be an end of a snake.

Also see this example:

Snake Pit

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 9:00, Master = 16:00, Expert = 32:00

Solution: PDF and solving video.

Note: Follow this link for more Snake Pit puzzles. Follow these links for other Fillomino or Snake puzzles.

Snake Pit X by Prasanna Seshadri

Snake Pit X by Prasanna Seshadri

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a composite mode for line/edge drawing and a number entry mode.)

Theme: Surrounded

Author/Opus: This is the 236th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: (Hybrid of Fillomino and Snake Puzzles.) Divide the grid along the boundary lines so that every cell belongs to a snake. A snake is a one-cell-wide path at least two cells long that does not touch itself, not even diagonally. Circled cells must be at one of the ends of a snake. A snake may contain one circled cell, two circled cells, or no circled cells at all. Numbered cells must be part of a snake with a length of exactly that number of cells. A snake may contain one number, multiple identical numbers, or no numbers at all. Two snakes of the same length cannot touch each other horizontally or vertically. Cells with an X cannot be an end of a snake.

Also see this example:

Snake Pit

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 6:00, Master = 8:30, Expert = 17:00

Solution: PDF and solving video.

Note: Follow this link for more Snake Pit puzzles. Follow these links for other Fillomino or Snake puzzles.