MathDB
Problems
Contests
International Contests
Tournament Of Towns
1989 Tournament Of Towns
(207) 1
(207) 1
Part of
1989 Tournament Of Towns
Problems
(1)
TOT 207 1989 Spring J1 staircase with 100 steps
Source:
3/7/2021
A staircase has
100
100
100
steps. Kolya wishes to descend the staircase by alternately jumping down some steps and then up some. The possible jumps he can do are through
6
6
6
(i.e. over
5
5
5
and landing on the
6
6
6
th) ,
7
7
7
or
8
8
8
steps . He also does not wish to land twice on the same step . Can he descend the staircase in this way?( S . Fomin, Leningrad)
number theory