Let a, b, c be pairwise relatively prime positive integers satisfying a > bc. For any two positive integers m < n we say that m is a successor of n, if for every pile of stones with weights a, b, c and total weight n, it is possible to remove some stones and obtain a new pile with total weight m. Find the greatest positive integer that does not have any successor.
Correct Solutions by,
- Toshihiro Shimizu Kawasaki, Japan
- Ahmet Yüksel Aydın
- Umut Eren Bilgiç New Albany High School, Ohio, USA
- Mert Emir
- Magnus Jakobsson Lund, Sweden
- Albert Stadler Herrliberg, Switzerland
- Serkan Sonel Bilkent University
- Roger Bengtsson Lund, Sweden
- Choi Min Kyu South Korea