
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

Pepík created the following problem:

$$
M+A+M+R+A+D+M+A+T+E+M+A+T+I+K+U=?
$$

Different letters were replaced by different digits from 1 to 9, and he was investigating the outcomes.

a) What is the largest result Pepík could have obtained?

b) Could he obtain a result of 50? If so, how?

c) Could he obtain a result of 59? If so, determine all possible values for the sum $M+A+M$.

Hint: How many times does each letter repeat?

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