Best way to plot three overlapping sets of integer data?

I'm plotting the number of iterations for 3 different trials so the y-axis is all integer values.

The issue is that the data overlaps so my current plot is HIDEOUS. I thought of doing '--kv','--ks','--kd' for the linestyles and that looks slightly better but still horrible. Any ideas? Below is a print out of the current plot:

[per isakson]

Why isn't this good enough?

[Justin]

@per isakson

I personally think it's really hard to read with the overlapping regions. Does no one else think so?

Answer 1

[Image Analyst]

Looks fine to me. Plot as three separate plots if you don't want overlapping sections.