
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
The lattice shown is continued for $15$ rows. What will be the fourth number in the $15$th row if the number of elements per row increases to $7$ and starts from 3? \begin{tabular}{rccccccc}
Row 1: & 3 & 4 & 5 & 6 & 7 & 8 & 9 \\
Row 2: & 10 & 11 & 12 & 13 & 14 & 15 & 16 \\
Row 3: & 17 & 18 & 19 & 20 & 21 & 22 & 23 \\
Row 4: & 24 & 25 & 26 & 27 & 28 & 29 & 30
\end{tabular}

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