
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
Fill in the circles with the natural numbers from 1 to 16 (each number used once and only once), such that the sum of the numbers in any four circles that lie on a straight line is equal. This is called an 8-order magic star, and the equal sum is referred to as the magic sum of the 8-order magic star. What is the magic sum of the 8-order magic star? Then continue to complete the following 8-order magic star.

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