Logic Masters Deutschland e.V.

Ever since my puzzle “Chaconopia Whirlwind,” in which I managed to get by with just 9 of these little arrows as clues, I couldn't stop wondering whether it would be possible to do it with even fewer. The fascinating answer: it works with just 7!

Sudoku on:
SudokuPad

---

Rules:

1. Chaos Construction: The grid has to be devided into nine regions of orthogonally connected cells. Each row, column and region has to contain the digits 1-9 once each.

2. Roles: Cells take on roles If certain conditions are met. These roles increase the value of those cells. Only if none of these conditions, which are described below, is met, the value of a cell is its digit. If more than one condition is met, a cell always takes the role with the highest value.

2.1 Role Mechanics and Values (X = Digit in a cell):
- Farmer (Value = 2X): To become a Farmer, a cell needs at least X cells including itself of its own region in the 3x3 area centered on the cell.
- Merchant (Value = 3X): To become a Merchant, there has to be at least one foreign region that occupies at least X orthogonally and/or diagonally touching cells of the considered cell.
- Diplomat (Value = 4X): To become a Diplomat, a cell has to be orthogonally and/or diagonally touched by at least X different other regions.

3. Clues: The value of the cell N steps away in the direction of an arrow is given in the corresponding circle. N is the digit in the cell from which the arrow extends (Example: If r1c1 would be a 4 then the value of r5c5 would have to be 15.)

Have fun solving!