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 Kamal Apr 11 '20 at 15:42
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$\begingroup$ The previous number and the next number must appear in the 9 boxes surrounding a number $\endgroup$ – perayu Apr 11 '20 at 15:45
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1$\begingroup$ 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'Thor Apr 11 '20 at 16:20
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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.
