
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
Given \( 1990 = 2^{\alpha_1} + 2^{\alpha_2} + \cdots + 2^{\alpha_n} \), where \( \alpha_1, \alpha_2, \cdots, \alpha_n \) are distinct non-negative integers, find the value of \( \alpha_1 + \alpha_2 + \cdots + \alpha_n \).

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