
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
Let \(a, b, c, d\) be real numbers such that \(1 \leq a \leq b \leq c \leq d \leq 5\). Find the minimum value of
\[
(a - 1)^2 + \left( \frac{b}{a} - 1 \right)^2 + \left( \frac{c}{b} - 1 \right)^2 + \left( \frac{d}{c} - 1 \right)^2 + \left( \frac{5}{d} - 1 \right)^2.
\]

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