"You must input the password you get between levels and not use any preset passwords. Usage of phone camera/emulator snapshot for this purpose is allowed."

Does that mean I can't use my phone to take a pic of the password so that i can enter it later? Are we required to memorize the password? Can we write it down? The wording is a little confusing.

you can use the phone to help you with the passwords, same with emulator. it would be unfair to ask everyone to remember the password from memory but you must use the passwords you get during your run.

ok understood now, it's ok to record the password in any way, so long as you use the same password that corresponds to the current run.

that is correct!