
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
Find the influence function \(G(x, y)\) for a beam supported at both ends \(x=0\) and \(x=1\). (Here, \(G(x, y)\) is the displacement parallel to the \(O z\) axis of the cross-section at point \(x=y\), caused by a unit load concentrated at point \(x=y\) and acting parallel to the \(O z\) axis.

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