
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
In 1854, geologist W.K. Loftus excavated two clay tablets in Senkereh (an ancient Babylonian site), one of which recorded:
$$9^{2}=81=60+21=1\cdot21$$
$$10^{2}=100=60+40=1\cdot40$$
$$11^{2}=121=2\cdot60+1=2\cdot1$$
$$12^{2}=144=2\cdot60+24=2\cdot24$$
$$\dots$$
Following this pattern, $58^{2}=$ \_\_\_\_\_\_ $.($Write in the form of $a\cdot b$$)$

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