Logic Masters Deutschland e.V.

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Normal Sudoku rules apply. Digits separated by a white dot are consecutive.

We're trying to find out the current time of day. We have three clocks; two digital and one analog. They all display the correct time.

We never solve Sudokus during dinner, so we know it is not between 19:30 and 20:00 (7:30 to 8:00 pm).

In the two blue cages in the corners, the time is displayed in digital format, using 24-hour time (from 00:00 to 23:59), in normal reading order.

On the analog clock face, the time is displayed using hour and minute hands.

The shorter hour hand points to one of the twelve hour markers on the inner red ring; similarly, the longer minute hand points to one of the twelve hour markers on the outer yellow ring.

The analog clock is a "jump hour", that is, even at 8:59 the hour hand still points at the 8, only to jump to the 9 at 9:00. The minute hand however sweeps continuously.

An hour marker that is being pointed at by either of the hands has the correct digit in it that matches said hour marker (helpfully indicated in the cage corner).

Hour and minute hands are paths that originate in the middle of the grid (indicated by the gray circle) and end at the pointed-to digit. These paths only take orthogonal 1-cell steps, and except for their shared origin in the middle, they don't intersect. They also don't self-intersect.

The minute hand is twice as long as the hour hand, where length refers to the number of steps along the path (i.e. is one less than the number of digits along the path).

Both hour and minute hand are thermometers that share the bulb in the middle of the grid, i.e. digits increase along the path when starting from the bulb.

The minute hand is also a renban line, that is, it contains a set of distinct consecutive digits in any order.

Here is an example what it might look like at twenty-five minutes to five in the afternoon, with hands of length 3 and 6. This example may or may not actually be a valid solution.

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