
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
A modified triangular array of coins has $3$ coins in the first row, $6$ coins in the second row, $9$ coins in the third row, and so on, increasing by $3$ coins each row up to $N$ rows. Find the value of $N$ if the total number of coins in the array is $3825$.

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