
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
Misha has a set of nine cards with the letters of the word "LOMONOSOV". On the reverse side of each card, Misha wrote a digit such that the cards with identical letters have identical digits, and cards with different letters have different digits. It turned out that the following equality holds:

$$
L+\frac{\mathrm{O}}{\mathrm{M}}+\mathrm{O}+\mathrm{H}+\frac{\mathrm{O}}{\mathrm{C}}=\mathrm{OB}
$$

in which both fractions are proper fractions. What digits could Misha have written on the cards? Provide at least one example.

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