An engineer, a physicist and a mathematician are sleeping in a room. There is a fire in the room. The engineer wakes up, sees the fire, picks up the bucket of water and douses the fire and goes back to sleep. Again there is fire in the room. This time, the physicist wakes up, notices the bucket, fills it with water, calculates the optimal trajectory and douses the fire in minimum amount of water and goes back to sleep. Again there is fire. This time the mathematician wakes up. He looks at the fire, looks at the bucket and the water and exclaims, "A solution exists" and goes back to sleep.