
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
Six different digits from the set
\[\{1, 2, 3, 4, 5, 6, 7, 8, 9\}\]
are used as entries in a T-shaped grid where the vertical column is composed of three cells and the horizontal row is composed of three cells intersecting at the middle cell of the vertical column. If the sum of the entries in the vertical column is 20 and the sum of the entries in the horizontal row, not counting the intersection cell, is 7, determine the sum of the six digits used.
A) 27
B) 29
C) 31
D) 33
E) 35

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