
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
Liam and Noah were initially 45 inches and 40 inches respectively. Liam has grown by 15% while Noah has grown by a number of inches that is 50% of Liam's growth in percent. Calculate Liam and Noah's heights in inches after their growth.

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