Logic Masters Deutschland e.V.

Rules
The grid just like a galaxy, where each number represents a star.
The four cages are like four spiral arms, The number in the top left corner indicates the number of stars of the same type observed. For example, 3456 means there are three 4 and five 6 in that cage.
Stars of the same kind can't be too close, meaning the 8 numbers around it can't have the same number.
The numbers separated by black dots are in a 1:2 ratio.
The sum of the numbers separated by X is 10.
Not all X's and black dots are given.
PLAY IN SUDOKUPAD