
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
Given the numbers 2, 5, 8, 11, and 14 placed in one of the five squares arranged in an L-shape, such that the sum of the three numbers in the horizontal row equals the sum of the three numbers in one vertical column, find the largest possible value for the horizontal or vertical sum.

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