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Start from the left bottom corner, you can spin the cell to create a long snake!
Solve this :
This is my snake:
First I had a look at the edges, and did this:
Then I extended with the chains of Ls:
Filled in a couple of forced things:
And the rest was easy (see top)
Here's another version of the snake with both ends on the edges of the grid.
Required, but never shown