MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1990 All Soviet Union Mathematical Olympiad
528
528
Part of
1990 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 528 All Soviet Union MO 1990 1990 piles with 1, 2, 3, ... , 1990 stones
Source:
8/14/2019
Given
1990
1990
1990
piles of stones, containing
1
,
2
,
3
,
.
.
.
,
1990
1, 2, 3, ... , 1990
1
,
2
,
3
,
...
,
1990
stones. A move is to take an equal number of stones from one or more piles. How many moves are needed to take all the stones?
piles
combinatorics
algebra
game
game strategy