
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
Jirka collects signatures of famous athletes and singers. He has a special notebook for this and decided that signatures will be on the front side of each page only. He numbered all these pages $1,3,5,7,9, \ldots$ so he would notice if any pages were missing. He wrote a total of 125 digits.

- How many pages did his notebook have?
- How many ones did he write in total?

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