
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
To ensure information security, data needs to be transmitted in an encrypted form. The sender encrypts plaintext to ciphertext, and the receiver decrypts ciphertext to plaintext. The encryption rules are as follows: plaintext values \(a, b, c\) correspond to ciphertext values \(a+1, 2b+a, 3c-4\). For example, the plaintext values 1, 2, 5 correspond to the ciphertext values \(2, 5, 11\). If the receiver obtains the ciphertext values \(21, 22, 23\), what are the corresponding plaintext values?

Present the answer in LaTex format: \boxed{Your answer}
user