Bella, I love your math blogs because I was a math major 40 years ago at Cornell, and got a Masters in Comp Sci and Statistics from NC State in the 1980s. The problems that you describe are always great end of day brain teasers before I go to sleep. You have been branching out lately with the Steak Frites manifesto and the latest soul searching piece. My two cents is that you will find the meaning of life in math problems while chomping down on a great tenderloin cooked to perfection, accompanied by a glass of Bordeaux, but make sure that you are always surrounded by great friends while doing so.