
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
Each of the three children received candy from their parents. Vitya got 5 candies and Masha got fewer than Vitya. Sasha got as many candies as Vitya and Masha together. How many candies could the parents have bought for all the children?

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