
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
(1) How much boiling water needs to be added to \( a \) liters of water at \( t_{1} \) degrees Celsius in order to achieve a final temperature of \( t_{2} \) degrees Celsius, given that \( t_{1} < 100 \) degrees Celsius?

(2) If the approximate measured values are:
\( a = 3.641 \) liters, \( t_{1} = 36.7 \) degrees Celsius, and \( t_{2} = 57.4 \) degrees Celsius, how many liters of boiling water need to be added?

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