
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
Five identical balls are moving in one direction along a straight line, and five other identical balls are moving in the opposite direction. The speeds of all the balls are the same. When any two balls collide, they rebound in opposite directions with the same speed they had before the collision. How many collisions will occur in total between the balls?

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