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A formal proof required (Posted on 2024-03-10) Difficulty: 3 of 5
Given a sequence of 19 positive (not necessarily distinct) integers not greater than 93, and a set of 93 positive (not necessarily distinct) integers not greater than 19.

Show that we can find non-empty subsequences of the two sequences
with equal sum.

No Solution Yet Submitted by Ady TZIDON    
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soln Comment 1 of 1
note one way of making a "sequence of sequences"

93 x 1 = 18 x 5 + 3
93 x 2 = 18 x 10 + 6
93 x 3 = 18 x 15 + 9

So for n = 1,... and f=floor(93 n/18) and r its remainder...
93 x n = 18 x f + r

That's as formal as I'm gonna get :-)

  Posted by Steven Lord on 2024-03-10 14:39:10
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