# Progress bars

Algebra Level pending

Suppose we want to run $$n$$ identical programs on a computer. There are 2 progress bars showing the progress of the programs. One shows the progress of the current program and the other shows the total progress ( i.e. there are 6 60-step programs, one progress bar shows Program 1 step 30/60, the other shows 8.33 %). Find a formula for the number of times the first progress bar passes the second one during the entire process ( running all $$n$$ programs )

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