Logic Masters Deutschland e.V.

Fill the grid with numbers from 1 to 8 such that every row, every column and every region contains each of the numbers from 1 to 8 once. The regions are sets of 8 connected cells and first have to be determined. They can not cover any 2x2 region.

Digits in a cell with an arrow show the amount of steps that can be taken within the cells' region to reach an end within the same region. An end is defined as a cell of a region that has walls on all other 3 edges besides the one we used to enter that cell. (So, if there is a 4 in an arrow cell, it means that if you take 4 steps in the given direction, an end within the region will be reached. These 4 steps can go in any direction after the first initial step in the given direction, but not back to cells already visited before.)

All arrows have been given

Penpa

6x6 version with example

7x7 version