Logic Masters Deutschland e.V.

To Christmas 2023 some eager puzzlefriends have again arranged a group in which everybody had to make anonymously a puzzle for someone else. These puzzles are now presented one after the other here in the portal.

"What kind of strange mishmash is this?", asked the head gnome when he saw this grid that his gnome apprentice had created. "As a beginner, I unfortunately lacked ideas... so I simply had the rules created by an AI", replied the newcomer, a little anxiously. "The result was a combination of Japanese sums, Subway, Pentominoes and ten-lines." The head gnome's exasperation rose: "Japanese sums and Subway might be fine... but what in the world are ten-lines? Our recipient surely won't like that!" The newcomer replied confidently: "In fact, an informant told me that the recipient of this puzzle is secretly a big fan of ten-lines." "You're making that up! What kind of informant?!", shouted the head gnome, but then he realized that there was far too little time to create a new puzzle. "Well, since we have no other choice, we'll leave this puzzle as it is. But next year I'll choose the rules!"

The left grid is a standard Subway puzzle. The right grid is a standard Japanese sums puzzle with the digits 1-9. "?"s may stand for any digit 0-9, but double-digit numbers cannot start with 0. "..." stands for an arbitrary number of clues, including none.

All empty cells in the Subway grid form pentominoes, which may not touch each other, even diagonally. The same applies for all shaded cells in the Japanese Sums grid. When overlaying both grids on top of each other, every such pentomino in one grid overlaps exactly two pentominoes from the other grid, and each overlap consists of exactly one cell. The digits in the Japanese Sums grid on top of a pentomino from the Subway grid must sum to 10.