
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
There are 5 pieces of cardboard, each formed by gluing together four $1 \times 1$ small squares in different shapes. Can these 5 pieces of cardboard be used to form a $4 \times 5$ rectangle as shown in the right diagram? If possible, please draw one possible arrangement; if not, please give a brief explanation.

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