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by nahin munkar
Mon Apr 04, 2016 10:57 pm
Forum: Number Theory
Topic: Tuymaada 2008,Junior League,D2,P8
Replies: 2
Views: 1823

Re: Tuymaada 2008,Junior League,D2,P8

From the ques.,a1+a2+a3+a4-t≡0 (mod 23).so,a1+a2+a3+a4≡t(mod 23). The residue classes of modulo 23 is{0,1,2,.....,22}.so,it can be, t≡0/1/2/3/..../22(mod 23)(***1). Here we see,the integers can't exceed 501.so one residue class among(0,1,2,...,22)must be of the 21 integers not exce...