
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
Observe the sequence of numbers arranged according to the following rules: $\frac{1}{1},\frac{1}{2},\frac{2}{1},\frac{1}{3},\frac{2}{2},\frac{3}{1},\frac{1}{4},\frac{2}{3},\frac{3}{2},\frac{4}{1},\frac{1}{5}…$ In the sequence, the $m$th number from the left is denoted as $F(m)$. Find the value of $m$ when $F(m)=\frac{1}{6}$ and when $F(m)=\frac{2}{99}$.

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