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Mon, 16 Sep 2019

What solving strategies are there for knights tour?

For knights tour puzzles, the best way to solve them is to scan the grid at the start for steps where there is only one possible option. Then use the extra information this gains you to repeat the process.

This alone can often solve a good percentage of knights tour puzzles.

You will then need to look at routes that only have a couple of options, and check that they really are viable: in other words that the knight would not get 'stuck' or isolate another square if it took a particular journey. Often you will need to work through a sequence of two or three moves in your head to see what potential problems lie in the way of a route.

You should try to be organised and also ensure that you don't look for a number that is already in the grid!

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