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Find all positive integers k for which the following statement is true: If F(x) is a polynomial with integer coefficients satisfying the condition 0 \leq F(c) \leq k for each c\in \{0,1,\ldots,k + 1\}, then F(0) = F(1) = \ldots = F(k + 1).

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1982IMO Shortlist 1997 problem 260
1975IMO Shortlist 1997 problem 192
1971IMO Shortlist 1997 problem 150
1970IMO Shortlist 1997 problem 144
1969IMO Shortlist 1997 problem 132
1968IMO Shortlist 1997 problem 122