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Bosnia and Herzegovina TST 2000 Day 2 Problem 2

Source: Bosnia and Herzegovina Team Selection Test 2000

September 19, 2018
geometryperimetercongruent

Problem Statement

Let TmT_m be a number of non-congruent triangles which perimeter is mm and all its sides are positive integers. Prove that: a)a) T1999>T2000T_{1999} > T_{2000} b)b) T4n+1=T4n−2+nT_{4n+1}=T_{4n-2}+n, (n∈N)(n \in \mathbb{N})
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