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Snail odd/even (689)

Instruction:
Enter numbers 1-3 in the grid so that the numbers follow the sequence 1,2,3,1,2,3,… from start to end and each number appears in each row or column exactly once.
The cells marked with "E" may contain even numbers only, cells marked with "O" may contain odd numbers only. Some of the marked cells may remain empty. Cells without clue may also contain number

Reference: WPC 2018 (120)

Parent puzzle:
Magic Snail