
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
Let  $M$  be the set of palindromic integers of the form  $5n+4$  where  $n\ge 0$  is an integer. 
[list=a]
[*]If we write the elements of  $M$  in increasing order, what is the  $50^{\text{th}}$  number?
[*]Among all numbers in  $M$  with nonzero digits which sum up to  $2014$  which is the largest and smallest one?[/list]

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