
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 $\left[x\right]$ represents the largest integer not exceeding $x$. For example, $\left[2.1\right]=2$, $\left[-1.3\right]=-2$, $\left[0\right]=0$. If $A=\{y\left|\right.y=x-\left[x\right]\}$ and $B=\{y\left|\right.0\leqslant y\leqslant m\}$, where $y\in A$ is a sufficient but not necessary condition for $y\in B$, then the range of values for $m$ is ____.

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