
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
 $\textbf{Problem 1.}$  Alejandra is going to distribute candies to several children. He gives the first one a candy, the second gets two, the third gets twice as many candies as he gave the second and so on, if Alejandra has  $2007$  candies, what is the minimum number of candies that is missing to be able to distribute them exactly? and how many children would you give candy?

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