
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
Find a four digit number  $M$  such that the number  $N=4\times M$  has the following properties.

(a)  $N$  is also a four digit number

(b)  $N$  has the same digits as in  $M$  but in reverse order.

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