
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
If $\left[x\right)$ represents the smallest integer greater than $x$, such as $\left[5\right)=6$, $\left[-1.8\right)=-1$, then the correct conclusions are______(fill in the numbers of all correct conclusions) ①$\left[0\right)=1$; ②The minimum value of $\left[x\right)-x$ is $0$; ③The maximum value of $\left[x\right)-x$ is $0$; ④There exists a number $x$ such that $\left[x\right)-x=0.2$ holds.

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