Logic Masters Deutschland e.V.

Originally titled "Symphony", I wrote this puzzle after attending my daughter's symphony with intentions of having one common theme played out in four movements - each of the lines. After test solving, it plays much more like a fugue -- overlapping and bouncing back and forth between all four parts. If you'd like, click on the picture to hear an example of a fugue that will probably sound similar to the solving experience.

The Rules:

All standard sudoku rules for x, v, kropki, renban, region sum, modular and entropic lines...

1. [Sudoku] Normal sudoku rules apply. Fill every row, column, and 3x3 box with the digits from 1 to 9 once each.
2. [Lines]:
   • [Region Sum]The blue line in the upper left corner is a region sum line. Box borders divide the blue line into segments, and the digits on each segment must have the same sum. Digits may repeat along this line.
   • [Entropic] The peach line in the bottom left corner is an entropic line: Each set of three consecutive digits along the line includes one low digit (1,2,3), one medium digit (4,5,6) and one high digit (7,8,9). Digits may repeat on this line if allowed by other rules.
   • [Modular] The teal line in the upper right corner is a modular line. Any three adjacent digits along the line have a different remainder when dividing by 3. Digits may repeat on this line if allowed by other rules.
   • [Renban] The purple line in the bottom right corner is a Renban line. It contains a set of consecutive digits in any order without repetition. Digits may NOT repeat along this line.
3. [Pairs]: Not all instances of these pairs are necessarily given:
   • Cells separated by an X must sum to 10.
   • Cells separated by a V must sum to 5.
   • Cells separated by a white circle must have a difference of 1
   • Cells separated by a black circle must have a 2 to 1 ratio.

The Puzzle:

Click here to try it on Sven's Sudokupad