Erratic Systematic Wormhole Mathematics

Computer Science Level 3

Chaos has emerged in a 1×1 field; The fabric of space will never be healed.

The limits of light have been replaced: All matter is teleported to a random place!

How far is the average point displaced?

This rule of space should not be disregarded: You might teleport to exactly where you started.

Hint: Don't set your bar low. Use Monte-Carlo.