
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
A larger square is tasked to inscribe a 2x2 square, a 1x3 rectangle, and a 2x1 rectangle. What is the side length of the larger square, if the sum of all possible areas for remaining unused space within the square (marked as space R) is the least?
A) 13  
B) 15  
C) 16  
D) 18  
E) 20

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