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Found problems: 1

1980 All Soviet Union Mathematical Olympiad, 300
Tags: minimum , integer set , set , combinatorics
The $A$ set consists of integers only. Its minimal element is $1$ and its maximal element is $100$. Every element of $A$ except $1$ equals to the sum of two (may be equal) numbers being contained in $A$. What is the least possible number of elements in $A$?