
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
Let $\left[x\right]$ denote the largest integer not exceeding $x$. For example, $\left[3.1\right]=3$, $\left[5\right]=5$, $\left[-4.2\right]=-5$. Given $0 \lt m \lt 1$ and satisfying $[m+\frac{1}{2022}]+[m+\frac{2}{2022}]+[m+\frac{3}{2022}]+\cdots+[m+\frac{2021}{2022}]=21$, find $\left[674m\right]$.

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