Question:
There are N cars on a single lane infinitely long road. Each car travels at a randomly chosen but constant speed between 0 and 100 miles per hour. Cars can not pass each other. On expectation, how many "clusters" of cars will there eventually be?
Answer:
1 + 1/2 + 1/3 + ... + 1/N
Resolution Criteria: Also okay is log(n) which is asymptotically correct. It's okay if the logic is wrong. But it must give the correct answer of the sum of the harmonic series.