# A (maybe) simple Hokuro puzzle

Hokuro is a puzzle that was introduced to the Puzzling Stack Exchange on December 2nd, 2020 by sarsapilla as an entry for Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community. It is a puzzle inspired by Kakuro, and it has similar rules.

Hokuro is a puzzle with the following rules:

• Each cell contains one of the following symbols:

• 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 twice)

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

The puzzle (which hopefully has a unique solution):

Please give feedback as this is my first Hokuro puzzle that I've ever made

• Very cool that you created a hokuro puzzle as well! It seems to be missing clues in R8C3 and R5C7 though? Commented Nov 8, 2023 at 13:41
• I deleted it, mistake. I'll post again. Commented Nov 9, 2023 at 16:21
• I'll just write it. Is the dot, in the black square (row 2), a clue to the row on the left or the column below? If column, then the left-most cell of the row is unknown. Commented Nov 9, 2023 at 16:53
• @Prim3numbah holy crap I am so sorry the dot is a clue to the row, for the hint for the column below there should be an arrow facing north, I will make some quick fixes. Commented Nov 9, 2023 at 17:04
• No prob. I got stuck on that one so just wanted to check Commented Nov 9, 2023 at 17:08

Step 1

I placed dots in single cells clued by no movement.

Step 2

I placed arrow in single cells clued by an arrow.

Step 3

Now after doing step 1 and 2, we can make some pretty straight forward deductions by first looking at the two clues marked in red, helping us filling in these red cells

Step 4

If we first focus on the clue marked in yellow, we can fill in these yellow cells.

Step 5

If we first focus on the clue marked in grey, we can fill in these grey cells.

Step 6

If we focus on the clue marked in blue, we see that one of the two cells marked in blue has to be a left arrow and one of them an up-left arrow.

If the top blue cell contain a left arrow then we'll reach a contradiction on this clue (where the blue arrow is pointing).

This means the top blue cell must contain an up-left arrow and the bottom blue cell must contain a left arrow. And the rest of the blue cells can be filled.

Step 7

To fill in these last bottom left 5 cells (marked in gold), I don' think there is a unique solution, but one arrangement that works is this:

• The clue marked in blue applies to the two cells to its right. The clue for the cells below is missing. There are indeed multiple solutions. Commented Nov 11, 2023 at 12:16
• @DanielMathias Aah yes, didn't notice that Commented Nov 11, 2023 at 12:39