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if it is a spend note, check that there is a puzzle note with zero value, the state of the puzzle note is equal to encoded_puzzle, and sudoku_app_vk is equal to the app_vk of the puzzle note.
if it is the init sudoku note(output note), check init_state = current_state
if it is an output note(the puzzle state is updated from the spend note), check spend_note_init_state = output_note_init_note and spend_note_vk = output_note_vk
if it is a spend note, the output_note_current_state is a better solution than the spend_note_current_state. If the output_note_current_state is the final solution, check the value of output_note is zero; else, check the value of output_note is one.
Sudoku state encoding constraints in application vp
Add the constraints for non_zero_sudoku_cells assignment in check_puzzle
Consider if we need to make the app_data_static of the application vp unique. A potential solution is to embed the spend note rho into app_data_static when creating the note.
The goal of this application is to demo how Taiga works. Pending work:
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