
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 3D shape is formed using unit cubes. Each cube shares at least one face with another cube. Determine the minimum number of cubes required to create a structure that matches the provided front and top views. 
[asy]
/* Scenario Setup for New Problem */
draw((0,0)--(2,0)--(2,2)--(0,2)--cycle);
draw((0,1)--(2,1));
draw((1,0)--(1,2));

draw((4,0)--(5,0)--(5,2)--(6,2)--(6,0)--cycle);
draw((5,1)--(6,1));
label(scale(0.8)*"FRONT", (1,0), S);
label(scale(0.8)*"TOP", (5,0), S);
[/asy]

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