
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
We define a permutation $(a_1,a_2,a_3,a_4,a_5)$ of $(1,2,3,4,5)$ as stripe-tailed if $a_1 + a_2 < a_3 + 2a_4 + a_5$. How many stripe-tailed permutations exist among all permutations of these numbers?
A) 50
B) 52
C) 54
D) 56 
E) 58

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