This is called Hidato or Snake Puzzle !
The goal of Hidato is to fill the grid with consecutive numbers that connect horizontally, vertically, or diagonally. For your help, the grid is already filled with a few numbers.
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$\begingroup$ What do you mean by "connect"? $\endgroup$– Wais KamalCommented Apr 11, 2020 at 15:42
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$\begingroup$ The previous number and the next number must appear in the 9 boxes surrounding a number $\endgroup$– perayuCommented Apr 11, 2020 at 15:45
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2$\begingroup$ Is there any rule about the consecutive-numbers path crossing itself? If not, it seems solutions must be non-unique. Look at the 129 and 132 on the right: some logic may determine whether 130 and 131 are above or below those two, but how do we know which way round the 130 and 131 are? Seems like, given that they're say above the given two, 130 and 131 could be swapped around without affecting anything else in the puzzle. $\endgroup$– Rand al'ThorCommented Apr 11, 2020 at 16:20
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2 Answers
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Here's a solution:
The snake does cross itself, though. It isn't mentioned in the OP if this is allowed or not.
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$\begingroup$ There is a crossing between 7-8 and 17-18 and between 135-136 and 149-150. $\endgroup$ Commented Nov 17, 2023 at 20:08
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Another solution that doesn't use diagonal steps.
answered Nov 17, 2023 at 22:03