
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
Along a straight avenue, 100 streetlights are positioned at equal intervals, numbered sequentially from 1 to 100. At the same time, Petya and Vasya start walking towards each other from opposite ends of the avenue at different constant speeds (Petya starts from the first streetlight, and Vasya from the hundredth streetlight). When Petya reaches the 22nd streetlight, Vasya reaches the 88th streetlight. At which streetlight will they meet? If the meeting happens between two streetlights, provide the smaller number of the two in the answer.

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