
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
The algorithm for solving the problem is given as follows:  
S1 Input $x$  
S2 If $x \leq 1$ then execute S3, otherwise execute S4  
S3 Set $y = 2x - 3$  
S4 Set $y = x^2 - 3x + 3$  
S5 Output $y$  
When the input value is ______, the input value and the output value are equal.

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