Logic Masters Deutschland e.V.

Rules:

• Normal sudoku rules apply.
• LOOP: Draw a one-cell-wide loop that moves orthogonally between cells. The loop never touches itself orthogonally, but it touches itself diagonally several times.
• THOUGHT BUBBLES: A thought bubble always emanates from one of the two cells where the loop is touching itself diagonally. The sum of these two cells is displayed inside the thought bubble (reading from left to right if the bubble covers two cells.) Eg: if the loop touches itself diagonally with the touching digits being a 4 and an 8, then either the 4 or the 8 would be 'thinking about' the sum of these two digits, 12, which would appear inside its thought bubble.
• UNIQUE THOUGHTS: Every thought bubble contains a different total.
• RULES ABOUT TOUCHING: To clarify, for the loop to be considered touching itself diagonally, the two touching cells must have more than one intermediary cell between them along the loop. (In other words, the two cells either side of a 90° turn in the loop don't count; even though these cells do touch diagonally, the loop is not considered to be touching itself here, as it is just turning.)
• ALTERNATING PARITY: Digits along the loop alternate between even and odd.
• BLACK DOTS: Digits separated by a black dot have a 1:2 ratio.

Example of what a small loop touching itself once might look like:

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Please leave a comment if you enjoy :)