The Infinitely Out-of-Phase Sleeping Cycle Problem (IOPSC)

I have classes beginning 9 on Mon-Wed-Fridays so I have tue-thurs free. This has thrown my sleeping cycle out-of-whack (thats right, blame the schedule). I wake up early for class on Monday so I have to sleep in the afternoon and if I sleep in the afternoon, I cannot sleep in the night, which means I wake up late on tuesday. when I wake up late on tuesday I cant again sleep early in the night but I wake up early on wednesday for class and then sleep in the afternoon...and so on...get it. the pattern repeats on wed-thurs and then on the weekend. a disgustingly disciplined colleague of mine suggested I dont sleep in the afternoon - no can do mister - next proposal please. ... well he said - set an alarm an wake up early on tuesday - ( i feel a pang of irritation) as if I'd be consulting him if I could depend on alarm clocks...you see...he doesnt realise the problem is grave...and seeks an elegant solution ...and i gaurantee its not NP-complete... so if any of you think of something ... let me know. I promise not to be cranky....just dont suggest disciplinary type solutions .. and esp not in the morning.