
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 four numbers \(a, b, c, d\). Each pair of these numbers is summed, resulting in 6 sums: \(a+b, b+c, c+d, a+c, b+d, a+d\). The four smallest of these sums are \(7, 15, 43, 47\). Find the sum of the original four numbers \(a+b+c+d\). If the answer is not an integer, write it as a decimal fraction.

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