
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
Six points  $A, B, C, D, E, F$  are chosen on a circle anticlockwise. None of  $AB, CD, EF$  is a diameter. Extended $AB$  and  $DC$  meet at  $Z, CD$  and  $FE$  at  $X, EF$  and  $BA$  at  $Y.  AC$  and  $BF$  meets at  $P, CE$  and  $BD$  at  $Q$  and  $AE$  and  $DF$  at  $R.$  If  $O$  is the point of intersection of  $YQ$  and  $ZR,$  find the  $\angle XOP.$ 

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