Logic Masters Deutschland e.V.

This puzzle was set for Scojo's secret impostor prompt. We each had to set a puzzle in our own style then a week later we were all randomly assigned another setter, and we had to set another puzzle in that setter's style. Scojo then solved all 24 pairs of puzzles live on his Twitch.tv stream, and tried to guess which puzzle was set by the imposter.

This puzzle was my attempt to set something in the style of Dorlir. This was a very daunting task as he is known for creating some amazing puzzles, often making heavy use of maths or set theory. I felt I had done a reasonable job of setting a puzzle inspired by his style, but I didn't really think it would fool anyone. I didn't think my puzzle had that extra bit of something that one of his puzzles would likely have. I was therefore very surprised and amazed that, although it was a close run thing, Scojo and people in his twitch chat declared that they thought this was the real puzzle!

Dorlir's own puzzle is here.

Rules

Normal sudoku rules apply.

Draw a one-cell-wide loop of orthogonally connected cells. The loop can't touch itself, not even diagonally. Every run of three digits on the loop contains a digit from {1,4,7}, a digit from {2,5,8} and a digit from {3,6,9}.

Any cell with a small arrow is never on the loop. A digit in a small arrow cell equals the number of cells in the indicated direction that are on the loop. Every cell with a small arrow contains a different digit.

Digits along a large arrow must sum to the digit in that arrow's circle. One of the large arrows is fully on the loop including the circle.

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