Logic Masters Deutschland e.V.

A Persistant Product-Sum Snake has finally managed to secure tickets to the Sudoku Variant Museum.
It enters the museum through one of the 4 exits (Corners), and wants to visit every exhibit (Box) exactly once, before finishing at the centre of the museum (R5C5).
The snake consists of a single path of orthogonally connected cells that never touches itself orthogonally (diagonally is fine).
The snake passes through at least 3 cells in each box, and the product of the first and last digits it passes through within each box equals the sum of the other digits it passes through within that box.

Solve the sudoku such that there exists a unique path for the snake through the museum.

All standard variant rules apply.

Puzzle Link


Museum Guide

• Exhibit 1: Odd/Even. Digits in a square must be even.
• Exhibit 2: Kropki Dots. Digits separated by a black dot must be in the ratio 2:1.
• Exhibit 3: Killer Cages. Digits in the cage must sum to the indicated total.
• Exhibit 4: German Whispers. Digits along the green line must differ by at least 5.
• Exhibit 5: Arrows. Digits along the arrows sum to the 2-digit number shown in the attached pill.
• Exhibit 6: Modular Lines. Each set of three consecutive digits along the teal line must contain one digit from the each of the following sets: (147), (258), (369).
• Exhibit 7: Entropic Lines. Each set of three consecutive digits along the peach line must contain one low digit (123), one medium digit (456), and one high digit (789).
• Exhibit 8: Min/Max. A digit in a grey cell must be greater than every orthogonally adjacent digit.
• Exhibit 9: Renban. Digits along a pink line must form a set of consecutive digits, in any order.

Please check out the other puzzles in this series:

• Curious Consecutive Snake
• Whimsical Whisper Snake
• Enigmatic Entropic Snake
• Puzzling Palindrome Snake
• Mysterious Modular Snake
• Zany Zipper Snake
• Ridiculous Region-Sum Snake
• Obstinate Odd Snake
• Naughty Negative Snake


• Inquisitive Indexer Snake
• Enlightened Even Snake
• Tentative Ten Snake
• Bewildered Between Snake
• Disappointed Divisor Snake