
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
How many numbers between $200$ and $999$ have three different digits such that the digits are either in strictly increasing order or strictly decreasing order, and the sum of the digits is even?
A) 48
B) 52
C) 56
D) 60
E) 64

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