Logic Masters Deutschland e.V.

Solve in SudokuPad

Rules

Standard Sudoku rules apply.

The digits in a cage sum to the number in the upper corner of the cage.

Along the blue region sum line, box boundaries divide the line into segments whose digits all share the same sum.

Diamond marked cells anywhere in the grid have two properties:

1. The digit in the cell is equal to the number of times that digit appears on the region sum line.


2. The digit in the cell appears in at least 3 different patterns of digits on the region sum line. A pattern of digits is a set of digits that appear on a single segment.
   
   For example, if the digit 4 appears in one of the diamond marked cells anywhere in the grid, then there are exactly four instances of digit 4 on the region sum line in at least 3 different sets such as 147, 246, 345. (Changing the order of the digits does not count as a different set. The sum of each set must be the same).

In addition, the grid is populated with a number of "Exploding Pentominoes." Similar to renban lines, these each represent a sequential set of five different digits, one per box in the cells corresponding to the shape of the pentomino.

Illustration of Exploding Pentominoes

The five cells of the set defined by each exploding pentomino occupy the same position in each 3x3 box.

Solving the Puzzle

All steps can be made by deduction. No guessing or brute force is required. Most of the individual steps are not overly hard, but some careful analysis of possibilities is required. Good luck!

Puzzle Series : The Cryptex Mission ★★★☆☆

• Phase I - Polyominoes and Palindromes
• Phase II - Happy Dolphins Sudoku
• Phase III (coming soon)

Other Exploding Pentomino Puzzles ★★★☆☆

• Exploding Pentomino Sudoku
• Exploding Pentomino Sudoku II
• Exploding Pentomino Sudoku III