# 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? Nov 8 at 13:41
• I deleted it, mistake. I'll post again. Nov 9 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. Nov 9 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. Nov 9 at 17:04
• No prob. I got stuck on that one so just wanted to check Nov 9 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. Nov 11 at 12:16
• @DanielMathias Aah yes, didn't notice that Nov 11 at 12:39