Logic Masters Deutschland e.V.

Heavy computing by Patrick Junke

Preamble:

Don't be intimidated by the length of the "rules". They are rather instructions for independant steps to be followed one at a time.
In brief what you will have to do is :
- to color a maze in the grid.
- to make a few arithmetic conversions.
- to resolve a (** difficulty) Sudoku variant based on arithmetics.

Instructions:

1) Hardware: Build the circuit.

The 9×9 grid contains a maze : an unique area of orthogonally connected cells. All other cells are walls.

- No 2×2 block of cells within the grid can be entirely composed of maze cells or entirely of wall cells.
- An arrow indicates a dead end in the maze and points to the only cell to which it is connected. ALL ARROWS ARE GIVEN.
- Each dotted region contains exactly 4 wall cells and 5 maze cells.

2) Turn on the circuit and collect the raw data.

In each cell crossed by a horizontal or vertical line:
– Write 1 if the cell is a wall.
– Write 0 if the cell is a maze cell.

Reading the digits along horizontal lines from left to right, and along vertical lines from top to bottom, gives you now binary numbers.

3) Convert the raw data into usable data.

Convert the binary numbers into decimal numbers.

To convert a binary number to decimal:
Multiply each digit by 2ⁿ, where n is the position from the right, starting at 0. Then sum the results.
Example: Binary 1011 → (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 8 + 0 + 2 + 1 = 11 in decimal.

Write the results to the right of the grid at the corresponding row for horizontal lines, and below the grid -the tens digit above the unit digit- at the corresponding column for vertical lines.

4) Clean the data.

Inside the grid, erase the 0s and 1s.
You may also remove any coloring from the grid.

5) Software: Test a beta version of your Sudoku program with this Sudoku variant.

Rules:
- Each 3×3 region must contain all digits from 1 to 9.
- The numbers outside the grid correpond to the sum of the digits in the corresponding row or column.

App link :

Here is a link to a SudokuPad version of the grid.

NB : You have to fill all the digits inside but also outside the grid (i.e. providing all the sums) to validate the solution on Sudokupad.