# A Hokuro, but with a twist!

Recently, I created my first Hokuro puzzle, which was received really well. However, this time, there is a twist! Not with the rules or anything, however, it is combined with a Nonogram! Luckily, the sums of the movements indicated by the symbols in the corresponding row/column are already given. (except for one that can be easily deduced using )

Rules of Nonogram/Picross:

The grid must be colored or left blank according to numbers at the side of the grid to reveal a hidden pixel art-like picture.

The rules of Hokuro:

• Each cell contains each of the following cells:

• Each arrow indicates a step in that direction, while the dot indicates no movement.

• The clues in the black cells show the sum of the movements indicated by the symbols in the corresponding row/column.

• Symbols in consecutive white cells must be unique (a 'sum' cannot contain the same symbol more than once)

In some cases it might come in handy to sneak a peek at the Hokuro Cheat Sheet.

The puzzle:

Nonogram/Picross:

Play online!

For users who can't access images and don't want to do it online:

Rows:

R1:  12
R2:  7,4
R3:  3,1,2
R4:  2,5,2
R5:  1,1,2,1
R6:  1,1,2,1
R7:  1,5,1,1
R8:  1,1,1,1,2
R9:  2,1,1,1
R10: 1,3,1,1
R11: 2,3,1,1
R12: 12


Columns:

C1:  12
C2:  4,1,2
C3:  3,1,1,1
C4:  2,4,2
C5:  2,1,1,2
C6:  2,2,2,3
C7:  5,1,1,1
C8:  1,1,2,1
C9:  2,1,3,1
C10: 2,1,3
C11: 4,1,1
C12: 12


Hokuro:

tried to transcribe in code block but was sadly unable to

GLHF! (Good Luck Have Fun!)

• For anyone who solved the Nonogram, I imported the Hokuro into Google Sheets for whoever prefers to solve it this way: docs.google.com/spreadsheets/d/… It is the sheet titled "Twist Hokuro". One way to use this is to select File > Make a Copy in the menu bar. Commented Nov 21, 2023 at 20:39

Solved nonogram (black denotes filled cells, grey denotes empty ones):

Hokuro with colourings included (grey denotes "black" cells this time, white denotes empty ones):

Filling in single cells (btw I missed one in the upper right, which is included in the next image instead):

Some more easy deductions, and one cell highlighted in red for the next deduction:

That red cell is part of "down-right in 2" and "up-right in 2", so it must be either a dot or a right. It's next to a dot, so it must be a right. We continue:

(Note that the bottom left corner now can't be filled uniquely: there are two different options, as far as I can see.) Sorry, I realised that this part can be solved uniquely, see the final image.

The green cell is part of "left in 2" and "up in 2", so it must be either a dot or an up-left. If it's an up-left, then the blue cell must be a right, the next one must be an up, the next one must be a down-right, contradiction. So the green cell is a dot, the blue cell is an up, the next one is a right, the next one is a dot, and we continue:

As far as I can tell, the top right cells don't have a unique solution. We have two different possibilities for the overall solution, shown in blue/red in the following final answer: