This year, we have started to have 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 sixth Sunday Stumper is a Kakuro puzzle with some extra clue shadings to indicate connected digit subsets for some of the entries.

PDF

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

Theme: Eye

Author/Opus: This is the 209th puzzle from our contributing puzzlemaster Prasanna Seshadri.

Rules: Standard Kakuro Rules. Also, whenever two multi-digit entries intersect and the set of digits in one entry is a subset of the set of digits in the other entry, the cell preceding each of those entries (either giving the entry’s clue or indicating that the entry is unclued) is shaded in gray. A shaded cell may be shaded because of its Across entry, Down entry, or both. Any clue cell that is not shaded does not have a multi-digit entry intersecting its Across or Down entries with a shared subset of digits. Any set of digits is considered a subset of itself.

See also this example:

Difficulty: 5 stars

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

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

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

Theme: Capsules

Author/Opus: This is the 331st puzzle from our managing editor Serkan Yürekli.

Rules: Fill all empty hexes with digits from 1-9 so that all number clues (in white) indicate the sum of the digits in that direction. Digits cannot repeat in any entry (i.e., any group of hexes connected either horizontally or in one of the two diagonal directions, without any black cells separating them). This no repeat rule applies even for unclued entries.

Difficulty: 1 star

Time Standards (highlight to view): Grandmaster = 0:40, Master = 1:15, Expert = 2:30

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

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

Theme: Nothing Unusual to See Here

Author/Opus: This is the 379th puzzle from Thomas Snyder, aka Dr. Sudoku.

Rules: Variation of Kakuro Rules. Exactly one digit must appear twice in each entry (i.e., group of cells connected horizontally or vertically without any black cells between). All other digits must not repeat within an entry.

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 9:00, Master = 15:45, Expert = 31:30

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

or solve online (using our beta test of Penpa-Edit tools; note that the dotted circles are just for answer entry and are where the number should be placed in the 2×2 cell. An alternate option suggested in the comments below with centralized digit entry is here.)

Theme: Circular Reasoning

Author/Opus: This is the 342nd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Variation of Kakuro. The gray (2×2) cells are to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of if it is in a small or large cell.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:50, Master = 1:45, Expert = 3:30

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

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

Author/Opus: This is the 332nd puzzle from our contributing puzzlemaster Grant Fikes.

Rules: Variation of Kakuro. Some 2×2 white regions are to be shaded gray and treated as single (2×2) cells in the Double Kakuro, the position of these cells must be found while solving, and each gray cell is to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of whether they are in small or large cells.
(An example Double Kakuro puzzle is linked.)

Difficulty: 2.5 stars

Time Standards (highlight to view): Grandmaster = 3:30, Master = 5:00, Expert = 10:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

or solve online (using our beta test of Penpa-Edit tools; note that the dotted circles are just for answer entry and are where the number should be placed in the 2×2 cell. An alternate option with centralized digit entry is here.)

Theme: Ring

Author/Opus: This is the 299th puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Kakuro. The gray (2×2) cells are to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of if it is in a small or large cell.

Difficulty: 1.5 stars

Time Standards (highlight to view): Grandmaster = 0:45, Master = 1:00, Expert = 2:00

Solution: PDF

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

or solve online (using our beta test of Penpa-Edit tools; note that the dotted circles are just for answer entry and are where the number should be placed in the 2×2 cell. An alternate option with centralized digit entry is here.)

Theme: Stuck

Author/Opus: This is the 287th puzzle from our managing editor Serkan Yürekli.

Rules: Variation of Kakuro. The gray (2×2) cells are to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of if it is in a small or large cell.

Difficulty: 4.5 stars

Time Standards (highlight to view): Grandmaster = 11:00, Master = 15:30, Expert = 31:00

Solution: PDF; a solution video is also available here.

Note: Follow this link for classic Kakuro and this link for Kakuro variations. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

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

Theme: V for Victory

Author/Opus: This is the 281st puzzle from our managing editor Serkan Yürekli.

Rules: Standard Kakuro rules. Also, a white circle between two cells shows that the digits in those cells are consecutive (i.e., they differ by 1). A black circle shows that the digit in one of the cells has twice the value of the other. If there is no circle between adjacent cells, neither of these properties holds. (Note: between 1 and 2, either a white or a black circle can be given.)

Difficulty: 4 stars

Time Standards (highlight to view): Grandmaster = 4:30, Master = 7:00, Expert = 14:00

Solution: PDF

Note: Follow this link for other Kakuro puzzles. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

or solve online (using our beta test of Penpa-Edit tools; note that the dotted circles are just for answer entry and are where the number should be placed in the 2×2 cell. An alternate option with centralized digit entry is here.)

Theme: Checker

Author/Opus: This is the 2nd puzzle from guest contributor Hatice Esra Aydemir.

Rules: Variation of Kakuro. The gray (2×2) cells are to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of if it is in a small or large cell.

Answer String: Enter the values in each cell in the 1st row from left to right and then in the 5th column from top to bottom, separating the two entries with a comma. Ignore black cells.

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

Solution: PDF

Note: Follow this link for other Kakuro puzzles. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli and in The Art of Puzzles 2.

PDF

or solve online (using our beta test of Penpa-Edit tools; note that the dotted circles are just for answer entry and are where the number should be placed in the 2×2 cell. An alternate option with centralized digit entry is here.)

Theme: 4×4

Author/Opus: This is the 3rd puzzle from guest contributor İlay Zehra Şenay.

Rules: Variation of Kakuro. The gray (2×2) cells are to be filled by a single digit which sits in multiple rows and columns. No digits can repeat within an entry, regardless of if it is in a small or large cell.

Answer String: Enter the values in each white/gray cell in the marked row from left to right and then the marked column from top to bottom, separating the groups with a comma.

Time Standards (highlight to view): Grandmaster = 4:15, Master = 6:15, Expert = 12:30

Solution: PDF

Note: Follow this link for other Kakuro puzzles. More Kakuro puzzles can be found in Kakuro and Variations by Serkan Yürekli. Kakuro will also eventually be featured in The Art of Puzzles 2.