Logic Masters Deutschland e.V.

Parity Party XVII, "B.Y.O.P.P."

Normal Sudoku rules apply. No digit may repeat in a row, column, or 3x3 box.

Special rules of Parity Party: A number at the edge of the grid indicates the sum of cells encountered when moving through the grid from that vantage point, UP TO AND INCLUDING the first odd or first even digit. For example, a 15 at the bottom of a column could indicate something like 7-8, 8-7, 1-3-5-6 or 2-6-4-3 (among others) when reading up that column... but not 1-2-3-4-5 or 2-6-3-4 etc. That is, the parity of the farthest digit must deviate from that of the others.

Note: If the clue is less than 10, it might simply indicate the value of the first cell. That is to say, you could be adding up zero odd and one even number, or vice versa.

In this puzzle, the PP clues have been replaced by colors (symbols in the color-blind-friendly version). They have a corresponding cell or pair of cells within the grid representing the same value (cell pairs are read as two-digit numbers from left to right or top to bottom). For example, the two-digit number formed by the digits in column 3, row 7-8 constitute the parity party clue for row 7, starting from the left, as well as for column 3, starting from the bottom, and column 8 from the top.

Different colors do not necessarily indicate different numbers.

I am deeply indebted to the setter Qinlux for this idea.

f-puzzles link with colors.

f-puzzles link with letters.