
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 a set of distinct plane vectors $\overrightarrow {a_{i}}$ (i=1, 2, 3, …), satisfying: ① $|\overrightarrow {a_{i}}|=2$; ② $\overrightarrow {a_{i}} \cdot \overrightarrow {a_{i+1}}=0$, if $\overrightarrow {T_{m}} = \overrightarrow {a_{1}} + \overrightarrow {a_{2}} + \ldots + \overrightarrow {a_{m}}$ (m≥2), then the set of possible values for $|\overrightarrow {T_{m}}|$ is \_\_\_\_\_\_.

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