Solved by Tim Kleingeld

solution: orbs

14.

Drop first orb from floors 14, 27, 39, 50, 60, 69, 77, 84, 90, 95, 99, 100... (ie move up 14 then 13, then 12 floors, etc) until it breaks (or doesn't at 100). Call the first floor at which it breaks n and the previous tested floor n'. Then try the intervening floors (n'+1 .. n'-1) with the other orb.

Worst case is if correct floor is 13,14,26,27, etc which require m drops with the first orb and 14-m drops with the second.