Suppose you live on the corner of 6th and 6th and work on the corner of 19th and 19th. Thus you must travel 26 blocks to get to work as quickly as possible. a. How many different routes can you take to work, assuming you want to get there as quickly as possible? a. Now suppose you want to stop and get a donut on the way to work, from your favorite donut shop on the corner of 17th ave and 15th st. How many routes to work, stopping at the donut shop, can you take (again, ensuring the shortest possible route)? a. Disaster Strikes Gridtown: there is a pothole on 9th ave between 7th st and 8th st. How many routes to work can you take avoiding that unsightly (and dangerous) stretch of road? a. The pothole has been repaired (phew) and a new donut shop has opened on the corner of 9th ave and 7th st. How many routes to work drive by one or the other (or both) donut shops? Hint: the donut shops serve PIE.