97C1+97C1*94C1/2!+97C1*94C1*91C1/3!+.......+97C1*94C1*91C1*.......*1C1/33!
there are 97 ways where i can take single 3 step,
there are 97 ways for 1st 3 step move and then 94 ways for another 33 step move and division is for removing duplicates.
e.g. in no of ways where 2 times 3 steps can have a permuation where 3 step move taken at 3rd step and 52nd step counted twice so delete by the x!.
this is tedious job,but simple to understand.please correct me if anyting is wrong