
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
In the given diagram, there are 10 different natural numbers \(a, b, c, \cdots, k\). It is known that each number pointed to by an arrow in the diagram equals the sum of the two numbers at the starting points of those arrows. Find the minimum value of \(d\) arranged in this way.

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