
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
Two brothers sold a flock of sheep, obtaining for each sheep as many rubles as there were sheep in the flock. Wishing to divide the proceeds equally, they took turns, starting with the elder brother, taking 10 rubles each from the total amount. After the elder brother took 10 rubles one more time, the younger brother was left with less than 10 rubles. To ensure an equal division, the elder brother gave the younger brother his knife. How many rubles was the knife valued at?

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