
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
The price (in euros) of a diamond corresponds to its mass (in grams) squared and then multiplied by 100. The price (in euros) of a crystal corresponds to three times its mass (in grams).

Martin and Théodore unearth a treasure consisting of precious stones that are either diamonds or crystals and whose total value is €5,000,000. They cut each precious stone in half, and each takes one half of each stone. Martin’s total value of stones is €2,000,000. In euros, what was the total initial value of the diamonds contained in the treasure?

Only a numerical answer is expected here.

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