Double or Nothing, by James Sinclair
Normal sudoku rules apply.
This puzzle contains two sets of modifiers: nullifiers and doublers. Each set includes exactly one cell in each row, column, and box, and contains a complete set of the digits 1-9.
Modifiers of different types cannot occupy the same cell or orthogonally adjacent cells.
The value of a nullifier is zero. The value of a doubler is equal to its digit multiplied by two. (All other cells have a value equal to their digit.)
Arrows: the sum of the values along an arrow is equal to the value in the connected circle.
Renban lines: purple lines contain a non-repeating set of consecutive values in any order (note: the line segments that intersect in r3c3 form a single 11-cell line).
Modular lines: along teal lines, every set of three adjacent cells contains three values with different remainders when divided by 3.
Values in cells separated by a black dot have a 1:2 ratio.
SudokuPad
Some backstory: when I was working on the puzzle that became
Double Entendre, the name in the back of my mind was Double or Nothing—because in that puzzle, digits in doubler cells may or may not be doubled for the purpose of different clues. But it didn't feel quite right because that's not really
or nothing, it's
or the value is unchanged. So I picked a different name for that one, but I kept thinking about what a proper "double or nothing" puzzle might look like, and here's what I came up with :)
If you want more of my puzzles, most of which are substantially easier than this one, check out
Artisanal Sudoku, where I publish a new set of variant sudokus every week.