
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 the diagram, 3 of the $1 \times 1$ squares that make up the $4 \times 5$ grid are shaded. Calculate the number of additional $1 \times 1$ squares that need to be shaded so that one-half of all of the $1 \times 1$ squares are shaded.

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