
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
After a soccer match, the coach lined up the team as shown in the picture and commanded: "Go to the locker room if your number is less than any of your neighbors." After several players left, he repeated his command. The coach continued until only one player remained. What is Igor's number if it is known that after he left, there were 3 people left in the lineup? (After each command, one or several players left, and the lineup closed the gaps so there were no empty spots between remaining players.)

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