
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
Several pairs of positive integers  $(m ,n )$  satisfy the condition  $19m + 90 + 8n = 1998$ .  Of these,  $(100, 1 )$   is the pair with the smallest value for  $n$ . Find the pair with the smallest value for  $m$ .

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