Fill the cells (big circles) of the grid with the numbers 1 though 9. On no straight line (with 2 - 9 cells) there can be any number repeated.

If there is between neighboured cells a line with a white dot, then the difference between the numbers in these cells is 1. If there is between neighboured cells a line with a black dot, then one number is the half from the other. The dot between two cells with 1 and 2 can have any of these two colors.

If there is a line without a small dot between two cells then neither the difference is 1 nor one cell is the half of the other.

Fill the grid with the digits 1 to 7. The numbers within the bold border represent the height of the skyscraper in each cell. Each row and column in that square has exactly one of each digit. The numbers outside the bold border tell you how many skyscrapers you can see from that vantage point.

If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors.

Fill the grid with the digits 1 to 9. Each row and column box has no number repeated. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors.

Fill in the grid the numbers 1 through 9. 2.The sum of each vertical or horizontal block equals the number at the top or on the left of that block.

If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors. If there is no dot then neither the difference is 1 nor one cell the half of the other.

Put the numbers 1 through 9 into the hexagonal cells so that every line (of any length) contains every digit not more than once. The lines must contain consecutive numbers, i. e., if a line has five cells there can be 2, 3, 4, 5, 6 or 3, 5, 4, 2, 6 but not 3, 4, 1, 9, 8 in the cells.

If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors. If there is no dot then neither the difference is 1 nor one cell the half of the other.

Put the numbers 1 through 9 into the cells so that every line (of any length) contains every digit not more than once. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors. If there is no dot then neither the difference is 1 nor one cell the half of the other.

Put the numbers 1 through 9 into the hexagonal cells so that every line (of any length) contains every digit not more than once. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. If there is no dot then neither the difference is 1 nor one cell the half of the other. The dot between two cells with 1 and 2 can have any of these two colors.

Smaller example with the numbers 1 through 6:

Puzzle:

Fill the grid with the digits 1 to 9. Each row, column and 3x3-box has exactly one of each digit. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors.

Fill the grid with the digits 1 to 9. Each row, column and 3x3-box has exactly one of each digit. If the difference between two cells is 1 then there is a white dot. If digit in a cell is the half from a neighboring cell then there is a black dot. The dot between two cells with 1 and 2 can have any of these two colors.