But not I.
The Pike Place Hillclimb Walk runs from the waterfront up to Pike Place Market. This section rises about 100 feet over a distance of about 375 feet.
The following info comes from a local Seattle website (Communitywalk.com)that has a database of all stairways with 100 or more steps and mentions this stairway:
Pike Street Hillclimb: 163 stairs
Lower end: Alaskan Way
Upper end: Pike Place Market
Type: concrete and wood
Parking: Pike Place Market
Note: stairs go through Public Market; lower outside section has 109 stairs, upper inside section 54 stairs.