
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
Place each of the digits 3, 4, 5, 6, and 7 in exactly one square to make the smallest possible sum of two products. The configuration should be like:
[asy]
draw((0,.5)--(10,.5),linewidth(1));
draw((4,1)--(6,1)--(6,3)--(4,3)--(4,1),linewidth(1));
draw((7,1)--(9,1)--(9,3)--(7,3)--(7,1),linewidth(1));
draw((7,5)--(9,5)--(9,7)--(7,7)--(7,5),linewidth(1));
draw((4,5)--(6,5)--(6,7)--(4,7)--(4,5),linewidth(1));
draw((0,3)--(3,3)--(3,5)--(0,5)--(0,3),linewidth(1));
[/asy]
What is this sum of two products?

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