
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
Ivan and Mirka were sharing pears from a bowl. Ivan always takes two pears, and Mirka takes half of what remains in the bowl. They proceed to take pears one by one in the following order: Ivan, Mirka, Ivan, Mirka, and finally Ivan, who took the last two pears.

Determine who ended up with more pears and by how many.

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