The simplest formula I have found for tourney greens is, distance to hole, plus or minus elevation (expressed as feet ) plus 1.5 feet x .7. For severe drops or rises in elevation ( anything over 5 ") adjust accordingly. Your 35' 1"down putt I would play,
35-1=34 &1.5=35.5 x.7= 24.85 . Hit @ twenty five feet with no break on greens and you would be very close. For fast breaks ( left or right slopes) I add a couple feet to allow for extra distance the ball must travel to hole, but, then again my putting stats ain't that great. lol. Good luck.
Doc :)