Logic Masters Deutschland e.V.

After introducing the special role “Bishop” for my Chaconopia world with a 7x7 puzzle a few days ago, here is the first 9x9 puzzle with this addition.

Sudoku on:
SudokuPad

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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: If certain conditions are met, cells can take roles that increase their value. The value of a cell with no role is it's digit. Role values and conditions are described below.

2.1 Role conditions and values (X = Digit in a cell)

2.1.1 Basic roles:
- 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.

2.1.2 Special role:
- Bishop (Value = 5X): To become a Bishop, a cell needs to see at least X cells of its own region including itself in diagonal directions. Cells from other regions block the view.

2.2 Role assignation: Basic roles are automatically taken if their condition is met. If more than one condition is met, a cell takes the role with the highest value.
The Special role "Bishop" may appear only once per region and can either be taken by a cell with no role or replace the Basic role of a cell. The assignment of the Bishop role to a cell must be done according to the rule that no other cell in the same region that meets the conditions for becoming a bishop would gain a higher increase in value from this role than the cell to which the role is assigned. (See example below for clarification)

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 r2c2 would be a 3 then the value of r5c5 would have to be 5.)

Have fun solving!

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Example: This is an 5x5 example picture to show how roles are assigned to cells. White circles mark the bishop cell in a region. In Region A, I only marked the cells that meet the Bishop condition (grey circles) and you can try to determine the Bishop as a little exercise. Basic roles are not marked:
- Regions B and E: The cell with 1 is the only cell that meet the Bishop condition and therefore is the Bishop.
- Region C and D: The cells with 1, 2 and 3 all meet the Bishop condition. In Region C the cell with 2 is the Bishop as it can increase it's value by 4 (from 6 to 10) compared to it's Basic role (Merchant). The cell with the 3 has the Basic role Diplomat with a value of 12 and could increase it's value only by 3 (from 12 two 15). In Region D it's the other way around.
- Region A: The cells with 1 and 2 meet the Bishop condition. Try to determine which cell is the Bishop.