On day 1 of the year 2005 a man wakes up late for work, immediately gets dressed and leaves for work. He does not have time to shower before leaving, and resolves to shower when he gets home. He arrives home at 1130pm and takes a shower, and is in bed by midnight. He wakes up the next day and decides not to shower, since he had showered merely a few hours ago the night before, so he heads off to work and resolves to shower when he returns home. However, when he returns home on this day (Day 2) he is extremely fatigued and goes to sleep, resolving to shower the next morning. On day 3, the man wakes up, showers, goes to work, returns home and falls asleep. On day 4, the man wakes up late for work, heading out without showering, he returns home at 1130 and showers before bed. (exactly the same as day 1) The process continues indefinitely, he works 7 days a week, and has absolutely no way of showering at work or by any means except in the manner above. The question is, is the man adequately showered?