This concept is very clever, but the first level with a pushing block is immensely difficult. There's nothing to imply that you CAN push the block.
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Second level is literally impossible. Snake is 5 blocks long, and therefore literally can't lie on both squares simultaneously.
right x 9, left x 7
The second level is literally possible. I'm revoking your puzzle licence. BOOK'EM DANNO.
WHY? (╯°□°)╯︵ ┻━┻