I've found 3 different ways to make it with 21 turns, but I'm not counting an initial turn to start. U - I don't understand your statement "Assuming initially you need to turn to get to either way you're going". Does that mean that our first move (from block "0" to block "1" in the example) will take 1.25 seconds regardless of whether we go N (up) or E (right)? If that is the case, then all 3 of my solutions involve 22 turns. Can anyone find a quicker route?