
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
Consider the sequence $$\frac {1}{1}$$, $$\frac {1}{2}$$, $$\frac {2}{1}$$, $$\frac {1}{3}$$, $$\frac {2}{2}$$, $$\frac {3}{1}$$, … $$\frac {1}{k}$$, $$\frac {2}{k-1}$$… $$\frac {k}{1}$$… The value of the 2010th term in this sequence is \_\_\_\_\_\_; in this sequence, the index of the 2010th term that equals 1 is \_\_\_\_\_\_.

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