
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
Given that \(a\) and \(d\) are non-negative numbers, \(b\) and \(c\) are positive numbers, and \(b+c \geqslant a+d\), find the minimum value of the following expression:
$$
\frac{b}{c+d} + \frac{c}{a+b}
$$

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