
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
The number  $28!$  ( $28$  in decimal) has base  $30$  representation \[28!=Q6T32S??OCLQJ6000000_{30}\] where the seventh and eighth digits are missing. What are the missing digits? In base  $30$ , we have that the digits  $A=10$ ,  $B=11$ ,  $C=12$ ,  $D=13$ ,  $E=14$ ,  $F=15$ ,  $G=16$ ,  $H=17$ ,  $I=18$ ,  $J=19$ ,  $K=20$ ,  $L=21$ ,  $M=22$ ,  $N=23$ ,  $O=24$ ,  $P=25$ ,  $Q=26$ ,  $R=27$ ,  $S=28$ ,  $T=29$ .

*2019 CCA Math Bonanza Tiebreaker Round #4*

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