
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 in a straight line at some distance from each other, while five other identical balls are moving towards them. The speeds of all the balls are the same. Upon collision, any two balls bounce off in opposite directions with the same speed they had before the collision. How many total collisions will occur between the balls?

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