
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
Let $E(n)$ denote the sum of the even digits of $n$. Define a new function $F(n)$ to be the sum $E(n)$ only for those numbers $n$ where $n$ ends in digit 4. For example, $E(134) = 4$ and $E(94) = 4 + 4 = 8$. Calculate $F(1)+F(2)+F(3)+\dots +F(100)$.
A) 48
B) 52
C) 64
D) 68
E) 72

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