Archive for the ‘Puzzle’ Category:

Math Path by Thomas Snyder

Math Path by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a number entry mode, a number candidates mode, and a path drawing mode.)

Theme: Double Vision

Author/Opus: This is the 497th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Write a number from 1 to N (N is given for each puzzle) into each cell so that every number appears in the grid once. There must be a path using just adjacent cells to travel between consecutive numbers from 1 to N. Also, the number in the upper-left corner of each bold cage indicates the value of a mathematical operation (addition, subtraction, multiplication, division) applied successively to all numbers in the cage, starting with the largest number for subtraction and division (e.g. 1,2,4 with subtraction is a 1- clue as 4-2-1 = 1). The operation may or may not be given in the cage, but at least one of the four operations must apply.

See also this example:

Math Path example by Thomas Snyder

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 1:45, Master = 4:00, Expert = 8:00

Solution: PDF and solving animation.

Note: Follow this link for other Math Path puzzles and this link for other Number Placement variations.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Math Path by Thomas Snyder

Math Path by Thomas Snyder

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to alternate between a number entry mode, a number candidates mode, and a path drawing mode.)

Theme: Twenty Something

Author/Opus: This is the 496th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Write a number from 1 to N (N is given for each puzzle) into each cell so that every number appears in the grid once. There must be a path using just adjacent cells to travel between consecutive numbers from 1 to N. Also, the number in the upper-left corner of each bold cage indicates the value of a mathematical operation (addition, subtraction, multiplication, division) applied successively to all numbers in the cage, starting with the largest number for subtraction and division (e.g. 1,2,4 with subtraction is a 1- clue as 4-2-1 = 1). The operation may or may not be given in the cage, but at least one of the four operations must apply.

See also this example:

Math Path example by Thomas Snyder

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:30, Expert = 3:00

Solution: PDF and solving animation.

Note: Follow this link for other Math Path puzzles and this link for other Number Placement variations.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Aqre by Serkan Yürekli

Aqre by Serkan Yürekli

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Fields

Author/Opus: This is the 475th puzzle from our managing editor Serkan Yürekli.

Rules: Standard Aqre rules: Shade some cells so that all shaded cells form one connected group. Regions with numbers must contain the indicated count of shaded cells, and it is allowed to shade over the numbered cells. There may not exist a run of four or more consecutive shaded or unshaded cells horizontally or vertically anywhere in the grid.

Aqre Example by Serkan Yürekli

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:45, Expert = 3:30

Solution: PDF and solving animation.

Note: Follow this link for more Aqre puzzles. If you are new to this puzzle type, here are our easiest Aqre to get started on. More Aqre puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Aqre by Murat Can Tonta

The Season 4 preview week starts with this “warm-up” Aqre puzzle by Murat Can Tonta with a Rectangles theme. The warm-up puzzles have blue stars at the top and use the same 1-5 star system as other puzzles on the site. Most warm-up puzzles will be 1 to 1.5 stars with a couple 2 star examples here and there.

Aqre by Murat Can Tonta

PDF

or solve online (using our beta test of Penpa-Edit tools; use tab to shift between shading mode and the composite Yajilin mode where left click marks cells, right click marks dots in cells or X’s on edges, left click+drag draws lines.)

Theme: Rectangles

Author/Opus: This is the 290th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Standard Aqre rules: Shade some cells so that all shaded cells form one connected group. Regions with numbers must contain the indicated count of shaded cells, and it is allowed to shade over the numbered cells. There may not exist a run of four or more consecutive shaded or unshaded cells horizontally or vertically anywhere in the grid.

Aqre Example by Serkan Yürekli

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:20, Master = 0:30, Expert = 1:00

Solution: PDF and solving animation.

Note: Follow this link for more Aqre puzzles. If you are new to this puzzle type, here are our easiest Aqre to get started on. More Aqre puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Sunday Special: Instructionless by Takeya Saikachi

Takeya Saikachi presents us with a new loop genre in which you need to discover the rules by solving the example first.

Instructionless by Takeya Saikachi

PDF

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

Theme: Triplets

Author/Opus: This is the 40th puzzle from our contributing puzzlemaster Takeya Saikachi.

Rules: To solve the main puzzle, you must first discover the genre’s rules by solving the example puzzle.

Example: solve online

Instructionless Example by Takeya Saikachi

Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 4:35, Master = 7:15, Expert = 14:30

Hints: 1. This is a loop puzzle style that involves visiting all cells, forming a single closed loop. But what do the number clues do?
2. When thinking the right way, each number clue will have two uses.
3. Looking at individual clues may not be enough.
4. Pair all the clues together (as passed through by the loop) and consider any special properties you find.
5. This puzzle draws inspiration from a region division puzzle with a four-letter name (rot13 = NENS) that also pairs clues together.

Solution: PDF and solving animation.

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

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Skyscrapers (Sum) by Murat Can Tonta

Getting started with this difficult Skyscrapers (Sum) puzzle designed by Murat Can Tonta probably requires noting a lot about the two distinct clues in the grid.

Skyscrapers (Sum) by Murat Can Tonta

PDF

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

Theme: Two Consecutive Numbers

Author/Opus: This is the 274th puzzle from our contributing puzzlemaster Murat Can Tonta.

Rules: Variation of Skyscrapers; each clue represents the sum of the heights of the visible buildings in that direction.

Difficulty: 5 stars

Time Standards (highlight to view): Grandmaster = 9:45, Master = 25:00, Expert = 50:00

Solution: PDF and solving animation.

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. If you are new to this puzzle type, here are our easiest Skyscrapers Puzzles to get started on. More Skyscrapers puzzles can be found in The Art of Puzzles, in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli, and in the e-book Skyscrapers by Ashish Kumar.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Skyscrapers (Sum) by Takeya Saikachi

Takeya Saikachi’s warm-up puzzle, in which he places all possible odd clues symmetrically, will be good practice for the second grid today.

Skyscrapers (Sum) by Takeya Saikachi

PDF

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

Theme: Possible Odds

Author/Opus: This is the 39th puzzle from our contributing puzzlemaster Takeya Saikachi.

Rules: Variation of Skyscrapers; each clue represents the sum of the heights of the visible buildings in that direction.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:20, Master = 0:35, Expert = 1:10

Solution: PDF and solving animation.

Note: Follow this link for classic Skyscrapers puzzles and this link for variations on Skyscrapers puzzles. If you are new to this puzzle type, here are our easiest Skyscrapers Puzzles to get started on. More Skyscrapers puzzles can be found in The Art of Puzzles, in our beginner-friendly collection Intro to GMPuzzles by Serkan Yürekli, and in the e-book Skyscrapers by Ashish Kumar.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Arrow Sudoku by Serkan Yürekli

Even though today is not Valentine’s Day, Serkan Yürekli is presenting us with a love-themed Arrow Sudoku and must be drawing attention to our shared love for solving puzzles.

Arrow Sudoku by Serkan Yürekli

PDF

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

Theme: Love

Author/Opus: This is the 451st puzzle from our managing editor Serkan Yürekli.

Rules: Standard Arrow Sudoku rules.

Estimated Difficulty: 3.5 stars

Time Standards (highlight to view): Grandmaster = 5:15, Master = 8:35, Expert = 17:10

Solution: PDF and solving animation.

Note: Follow this link for more Arrow Sudoku. If you are new to this puzzle type, here are our easiest Arrow Sudoku to get started on. More Arrow Sudoku puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Arrow Sudoku by Thomas Snyder

In Arrow Sudoku, it is often a good approach to focus on possible combinations of numbers in arrows pointing in just one direction; this warm-up puzzle by Thomas Snyder is full of such arrows, all going to the right.

Arrow Sudoku by Thomas Snyder

PDF

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

Theme: Right Way of Thinking

Author/Opus: This is the 476th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Standard Arrow Sudoku rules.

Estimated Difficulty: 2 stars

Time Standards (highlight to view): Grandmaster = 1:05, Master = 2:05, Expert = 4:10

Solution: PDF and solving animation.

Note: Follow this link for more Arrow Sudoku. If you are new to this puzzle type, here are our easiest Arrow Sudoku to get started on. More Arrow Sudoku puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.

Star Battle by JinHoo Ahn

As suggested by the title, JinHoo Ahn’s T-region-dominated grid is important to think about to make progress.

Star Battle by JinHoo Ahn

PDF

or solve online (using our beta test of Penpa-Edit tools; in composite Star Battle mode a left click places a star, right click in a cell marks off the cell, and a right click on an edge or corner marks in a dot as a placement note.)

Theme: T It Up

Author/Opus: This is the 101st puzzle from our contributing puzzlemaster JinHoo Ahn.

Rules: Standard Star Battle rules. Two stars per row, column, and region.

Difficulty: 3 stars

Time Standards (highlight to view): Grandmaster = 3:15, Master = 4:30, Expert = 9:00

Solution: PDF and solving animation.

Note: Follow this link for other classic Star Battles and this link for Star Battle variations. If you are new to this puzzle type, here are our easiest Star Battles to get started on. More Star Battle puzzles can be found in these books in our e-store.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our week-0-discussion thread on the GMPuzzles Discord. If you are not yet part of this Discord community, use this link.