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For every integer n \geq 2 determine the minimum value that the sum \sum^n_{i=0} a_i can take for nonnegative numbers a_0, a_1, \ldots, a_n satisfying the condition a_0 = 1, a_i \leq a_{i+1} + a_{i+2} for i = 0, \ldots, n - 2.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1977IMO Shortlist 1997 problem 210
1976IMO Shortlist 1997 problem 201
1975IMO Shortlist 1997 problem 192
1974IMO Shortlist 1997 problem 183
1973IMO Shortlist 1997 problem 175
1972IMO Shortlist 1997 problem 160