In 2-3, You can get CC(2) using Jet. 3-7 before Susie route is faster. It was compared by dk3.

D3's route is here: http://bossbattles.blog.fc2.com/blog-entry-3.html?sp

There are some things I do that are faster, such as keeping Cutter in 1-2 and 6-2 I never timed if taking Cutter in 5-5 is faster, or taking Parasol in 3-4 instead of Ice Probably needs more work on the route