« Vrati se
For any integer r \geq 1, determine the smallest integer h(r) \geq 1 such that for any partition of the set \{1, 2, \cdots, h(r)\} into r classes, there are integers a \geq  0 \ ; 1 \leq x \leq y, such that a + x, a + y, a + x + y belong to the same class.

Proposed by Romania

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1692IMO Shortlist 1987 problem 80
1687IMO Shortlist 1987 problem 30
1355IMO Shortlist 1969 problem 250
1354IMO Shortlist 1969 problem 240
1353IMO Shortlist 1969 problem 230
1348IMO Shortlist 1969 problem 180