Archive for the ‘Loop/Path’ Category:

Yajilin by David Olmsted

Yajilin by David Olmsted

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Theme: Ladders

Author/Opus: This is the 1st puzzle from guest contributor David Olmsted.

Rules: Standard Yajilin rules.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 7:30, Master = 13:45, Expert = 27:30

Note: Follow this link for other classic Yajilin. If you are new to this puzzle type, here are our easiest Yajilin to get started on. More Yajilin puzzles can be found in The Art of Puzzles 2.

Pentosnake by Nikolai Beluhov

Pentosnake by Nikolai Beluhov

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Theme: One Letter Clue

Author/Opus: This is the 3rd puzzle from guest contributor Nikolai Beluhov.

Rules: Draw a snake (a 1 cell-wide path) in the grid whose head and tail are given by circled cells. The snake can touch itself diagonally, but cannot touch itself orthogonally. All cells that are not part of the snake must be part of a pentomino (i.e., an orthogonally connected group of five cells). These unused pentominoes cannot touch orthogonally but can touch diagonally. A letter in a cell represents the pentomino shape that the cell belongs to. Pentomino shapes can be repeated in the grid, and can also be rotated and reflected. (Lettered cells cannot be used by the snake.)

Answer String: Enter the number of cells in each of the snake segments from left to right for the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 4:45, Master = 7:15, Expert = 14:30

Note: Follow this link for other Snake puzzles.

Numberlink by Thomas Snyder

Numberlink by Thomas Snyder

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Theme: Clue Symmetry & Logic (prepared for the 2017 Puzzle Grand Prix)

Author/Opus: This is the 274th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Connect each pair of identical numbers with a path passing through edge-adjacent cells. No cell may be used on more than one path.

Answer String: Enter the length in cells of the horizontal line segments from left to right in the marked rows, starting at the top. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 3:30, Expert = 7:00 (*Estimates from competition scoring, not our usual process)

Note: Follow this link for other Loop/Path puzzles.

4-Way Loop by Serkan Yürekli

4-Way Loop by Serkan Yürekli

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Theme: Clue Symmetry and Logic (for TheSubro)

Author/Opus: This is the 158th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: This puzzle combines four loop varieties commonly featured at GMPuzzles: Balance Loop (upper left), Yajilin (upper right), Castle Wall (lower left), and Masyu (lower right).

Draw a single, non-intersecting loop throughout all four quadrants. The loop may enter and exit the different quadrants as many times as needed.

The standard rules for each puzzle type are true for each quadrant, with these additional considerations:

Balance Loop: Use the entire length of segments (including parts of the segments that extend into an adjacent quadrant) when determining the balanced/unbalanced status of a circle clue.

Yajilin: The arrow clues refer only to shaded cells within the Yajilin quadrant. The loop must occupy all cells adjacent to a shaded cell, even in an adjacent quadrant.

Castle Wall: Number clues only apply within the grid and DO NOT include any line segments that cross the bold border with another grid or any segments in other quadrants. (Another way to say this is that the Castle Wall clues refer to the number of thin lines crossed in the lower-left quadrant only.)

Masyu: Normal rules apply for white and black circles, but the path satisfying these rules can extend into an adjacent quadrant. (For example, a white circle can be passed through crossing a quadrant edge, provided it turns immediately on one side of the circle whether the turn is in the Masyu quadrant or in another quadrant.)

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 18:00, Master = 35:00, Expert = 1:10:00

Castle Wall (Hexagonal) by Serkan Yürekli

Castle Wall by Serkan Yürekli

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Theme: Clue Symmetry and Logic (for Chris Green)

Author/Opus: This is the 157th puzzle from our contributing puzzlemaster Serkan Yürekli.

Rules: Standard Castle Wall rules. Also, the grid is hexagonal.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop has no horizontal segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 6:30, Master = 18:00, Expert = 36:00

Note: Follow this link for more Castle Wall puzzles. If you are new to this puzzle type, here are our easiest Castle Wall puzzles to get started on.

Masyu by Grant Fikes

Masyu by Grant Fikes

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Theme: Logic (for Daniel Cohen)

Author/Opus: This is the 236th puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Standard Masyu rules.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 1:30, Master = 3:30, Expert = 7:00

Note: Follow this link for other classic Masyu. If you are new to this puzzle type, here are our easiest Masyu to get started on. More Masyu puzzles can be found in The Art of Puzzles.

Double Yajilin by Prasanna Seshadri

Yajilin by Prasanna Seshadri

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Theme: Outside Clues

Author/Opus: This is the 155th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Yajilin rules, except that instead of blackening single cells, blacken in dominoes (1×2 rectangles). Clues indicate the total number of dominoes (not the total number of cells) that are shaded in the given direction.

Answer String: Enter the length in cells of the horizontal loop segments from left to right in the marked rows, starting at the top. If the loop only has vertical segments in the marked row, enter 0. Separate each row’s entry with a comma.

Time Standards (highlight to view): Grandmaster = 5:00, Master = 7:30, Expert = 15:00

Note: Follow this link for other variations of Yajilin and this link for classic Yajilin. If you are new to this puzzle type, here are our easiest Yajilin to get started on. More Yajilin puzzles can be found in The Art of Puzzles 2.