
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
For the quadratic function $y=x^2-2mx-3$, the following statements are made:
① Its graph intersects the x-axis at two points;
② If $y$ decreases as $x$ increases when $x \leq 1$, then $m=1$;
③ If its graph is translated 3 units to the left and then passes through the origin, then $m=-1$;
④ If the function value when $x=4$ is equal to the function value when $x=2010$, then the function value when $x=2014$ is $-3$.
Among these statements, the number of correct statements is     .

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