Logic Masters Deutschland e.V.

This second puzzle is a sort of sequel to my first one Squaring things out, also involving the use of squared digits and arrows, but with a different approach.

I tried to keep the math relatively simple, as I know some of you might be scared off by the perspective of summing to large numbers. And for those of you who like this, I'll publish a third puzzle with the same rules and another approach in the near future, before moving to something else.

Rules :

- Normal sudoku rules apply.

- Arrows : Digits/numbers along an arrow sum to the digit/number in that arrow's circle.

- Special Root Arrow rule : If an arrow forks into several branches, all the branches initiating from that fork must sum to the same total. The arrow's circle is still the sum of all the digits/numbers along all the branches. If an arrow circle has 2 or more arrows initiating from it, this is not considered as a fork. See an example below.

- Squares : Nine cells in the grid (one per row, column and box) are squares, which count as the square of their value on arrows. For example, a squared 9 will count as 81 if it's on an arrow.

Each digit is squared once in the grid.

- The grey square is even

Illustration of arithmetic on arrow forks

The puzzle :

Penpa link (with answer check)

CTC webapp (with answer check)

This one should be a little harder than the previous, but nothing monstrous, probably 3,5/5 on average.

Enjoy ! And consider giving feedback if you like the puzzle !