Math Path by JinHoo Ahn

This is a free “warm-up” puzzle; Season 4 subscribers will see today’s main puzzle in the same style posted at 9:05 AM PT.

Math Path by JinHoo Ahn

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: Tiny Watch

Author/Opus: This is the 131st puzzle from our contributing puzzlemaster JinHoo Ahn.

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 = 1:15, 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 12 Discussion post on the GMPuzzles Discord.

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.

Microsoft Puzzle Hunt Bonus (4/4): MESSENGER by Thomas Snyder

See these earlier posts 1, 2, and 3 for the other Microsoft Puzzle Hunt challenges

Puzzle PDF

Author/Opus: This is the 433rd puzzle from Thomas Snyder, aka Dr. Sudoku.

Hints:
1. How do I get started? Pbafvqre gur fvatyr pryy ahzorerq fdhnerf dhvgr pnershyyl gb uryc svther bhg jung xvaq bs chmmyr guvf vf.
2. How do I solve this? Guvf vf n UVQNGB chmmyr jvgu ahzrevpny pbafgenvagf nf va n GbzGbz/Pnyphqbxh npebff pryyf. Sbe rknzcyr, gur 8÷ pntr pbagnvaf n 3 naq 24 (nf 24/3 = 8).
3. How do I get a final answer? Gur sbhe ? fdhnerf pbagnva gur inyhrf 46, 73, 85, naq 97 va fbzr beqre. Ohg gurfr inyhrf jba’g or nf vzcbegnag gb svavfu gur chmmyr nf gur cngu gb trg guebhtu gurz.

Solution: PDF

Answer String: Enter the final answer (a word or phrase) in ALL CAPITAL LETTERS without spaces to confirm. There may be intermediate answer phrases that are not the final answer; our answer checker is not able to send the message “Keep going” like the Microsoft Hunt solving software does so if you do not see what you expect, treat it like “Keep going” and potentially send an email to us or watch out for hints.