
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 sequence is formed by arranging the following arrays into a row: $$( \frac {1}{1}), ( \frac {2}{1}, \frac {1}{2}), ( \frac {3}{1}, \frac {2}{2}, \frac {1}{3}), ( \frac {4}{1}, \frac {3}{2}, \frac {2}{3}, \frac {1}{4}), ( \frac {5}{1}, \frac {4}{2}, \frac {3}{3}, \frac {2}{4}, \frac {1}{5}),…$$ If we remove the parentheses from the arrays, we get a sequence: $$\frac {1}{1}, \frac {2}{1}, \frac {1}{2}, \frac {3}{1}, \frac {2}{2}, \frac {1}{3}, \frac {4}{1}, \frac {3}{2}, \frac {2}{3}, \frac {1}{4}, \frac {5}{1}, \frac {4}{2}, \frac {3}{3}, \frac {2}{4}, \frac {1}{5},…$$ A student observed that $$\frac {63×64}{2}=2016,$$ based on this, the 2012th term of the sequence is ______.

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