## 16 LEDs Kishi Puzzle Solution

22nd March 2022

Here's the solution to the Kishi puzzle I offered as a second puzzle to run on my 16 LEDs board; see 16 LEDs Solution and a New Puzzle.

### The puzzle

In the Kishi puzzle pressing a button toggles the state of the LED next to it, and also the state of the LEDs a knight's move away.

Starting from a random position you have to find the correct sequence of button presses to turn all the LEDs on. It is quite a bit harder than the original Tacoyaki puzzle, and every pattern of LEDs is possible.

### The solution

First use trial and error to get as many lights as possible turned on. This isn't essential, but it will save the number of subsequent steps you have to do.

Then to turn on each of the remaining LEDs proceed as follows:

#### Corners

For a corner LED in the position shown on the left, turn it on by pressing the pattern of buttons shown on the right (the order doesn't matter):

This will turn on the corner LED without affecting any of the other LEDs.

To solve the other three corners rotate the puzzle so it matches the picture on the left.

#### Edges

For an edge LED in the position shown on the left, turn it on by pressing the pattern of buttons shown on the right (as before, the order doesn't matter):

Alternatively, if it's in this position use the pattern on the right (which is just the previous pattern flipped left to right):

Again, you can rotate the puzzle to cater for all the other edge positions.

#### Centres

For a centre LED in the position shown on the left, turn it on by pressing the pattern of buttons shown on the right (again, the order doesn't matter):

Rotate the puzzle to cater for the other three centre positions.

Provided you didn't make any mistakes the puzzle should now be solved!

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