
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
A segment of length $2$ is divided into four segments: $a, b, c, d$ with the condition $a \leq b \leq c \leq d$. Determine the largest possible length of $d$ so that a quadrilateral can be formed using these segments as sides.
A) $d < 0.75$
B) $d < 1$
C) $d < 1.25$
D) $d < 1.5$
E) $d < 2$

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