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Numbered snake (690)

Instruction:
Draw a snake in the grid. The snake goes from cell to cell vertically or horizontally, but not diagonally. The snake does not touch itself, not even diagonally. The snake is numbered from head to tail in a sequence from 1 to N where N is the length of the snake. On top and on the left you can find the number of odd and even numbers in every row and column. Head and tail of the snake are not given.

Reference: WPC 2018 (120)

Parent puzzle:
Snake