
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  $\triangle ABC$ ,  $X, Y$ , are points on BC such that  $BX=XY=YC$ ,  $M , N$  are points on  $AC$  such that  $AM=MN=NC$ .  $BM$  and  $BN$  intersect  $AY$  at  $S$  and  $R$  and respectively. If the area of  $\triangle ABC$  is  $1$ , find the area of  $SMNR$ .

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