a1,a2,a3,a4,a5,a6,a7,a8,为{1,2,3,4,5,6,7,8,9,10,11,12,13,14,1516,17}中八个不同的数,求证在 a1--a8 中至少有三对(i,j),使得ai-aj的差相等(ai-aj=K,K>0) 求详解,
问题描述:
a1,a2,a3,a4,a5,a6,a7,a8,为{1,2,3,4,5,6,7,8,9,10,11,12,13,14,1516,17}中八个不同的数,求证在 a1--a8 中至少有三对(i,j),使得ai-aj的差相等(ai-aj=K,K>0) 求详解,
答
不妨设a1