
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 numbers  $1,2,...,100$  are written in a board. We are allowed to choose any two numbers from the board  $a,b$  to delete them and replace on the board the number  $a+b-1$ . 
What are the possible numbers u can get after  $99$  consecutive operations of these?

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