
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
Yesterday at the market, with 100 tugriks, one could buy 9 gingerbreads and 7 pastries (and even get change), but today this amount is no longer sufficient. However, today with the same 100 tugriks one can buy 2 gingerbreads and 11 pastries (also with change), but yesterday this amount would not have been enough. Each gingerbread and pastry costs a whole number of tugriks, and the price of each sweet changed by no more than one tugrik overnight. How much does one gingerbread cost today?

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