
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
In base- $2$  notation, digits are  $0$  and  $1$  only and the places go up in powers of  $-2$ . For example,  $11011$  stands for  $(-2)^4+(-2)^3+(-2)^1+(-2)^0$  and equals number  $7$  in base  $10$ . If the decimal number  $2019$  is expressed in base  $-2$  how many non-zero digits does it contain ?

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