
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 the following algorithm to solve a problem:
S<sub>1</sub> Input x
S<sub>2</sub> If x ≤ 1, execute S<sub>3</sub>; otherwise, execute S<sub>4</sub>
S<sub>3</sub> Assign y = 2x - 3
S<sub>4</sub> Assign y = x^2 - 3x + 3
S<sub>5</sub> Output y
For which input value does the input value equal the output value?

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