
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
Problem 3 (MAR CP 1992) :
From the digits  $1,2,...,9$ , we write all the numbers formed by these nine digits (the nine digits are all distinct), and we order them in increasing order as follows :  $123456789$ ,  $123456798$ , ...,  $987654321$ . What is the  $100000th$  number ?

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