### Arrow/Killer/Kropki/Thermo-Sudoku by Michael Rios

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

**Theme:** Square Knots

**Author/Opus:** This is the 2nd puzzle from guest contributor Michael Rios.

**Rules:** Standard Sudoku rules. Also, some arrow shapes are in the grid; the sum of the digits along the path of each arrow must equal the digit in the circled cell (digits can repeat on an arrow). Some cages are in the grid marked by dashed lines; the sum of the digits in these cages must equal the value given in the upper-left corner of that cage (digits cannot repeat inside a cage). Some dots are given between two cells; a white dot shows that the digits in those cells are consecutive and a black dot shows that the digit in one of the cells has twice the value of the other (adjacent cells without dots may or may not follow these rules). Finally, some thermometer shapes are in the grid; the digits along the thermometer must be strictly increasing from the round bulb to the flat end.

**Difficulty:** 4.5 stars

**Time Standards (highlight to view):** Grandmaster = 10:45, Master = 18:45, Expert = 37:30

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

**Note:** Follow this link for more Arrow Sudoku. Follow this link for more Thermo-Sudoku puzzles. More Arrow and Thermo-Sudoku puzzles can be found in *The Art of Sudoku 2*. More Killer Sudoku puzzles can be found in *Killer Sudoku* by Serkan Yürekli.