
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
Given that there are 15 points arranged in either a triangular or a trapezoidal point lattice with a condition that the difference in the number of points between two adjacent rows is always 1, determine how many ways there are to arrange 2014 points into either a triangular or a trapezoidal point lattice (with at least two layers).

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