
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
A ruler of a certain country, for purely military reasons, wanted there to be more boys than girls among his subjects. Therefore, he decreed that no family should have more than one girl. Thus, every woman in this country who had children would have a girl as the last and only last child because no woman, having given birth to a girl, would dare to have more children. What proportion of boys made up the total mass of children in this country?

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