
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
In a paralleogram  $ABCD$  , a point  $P$  on the segment  $AB$  is taken such that  $\frac{AP}{AB}=\frac{61}{2022}$ and a point  $Q$  on the segment  $AD$  is taken such that  $\frac{AQ}{AD}=\frac{61}{2065}$ .If  $PQ$  intersects  $AC$  at  $T$ , find  $\frac{AC}{AT}$  to the nearest integer

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