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Is it true that if $A=\{a_1<\cdots <a_t\}\subseteq \{1,\ldots,N\}$ has no solutions to \[a_i+a_{i+1}+\cdots+a_j\in A\] then \[\lvert A\rvert \leq \frac{N}{2}+O(1)?\]
A finitary version of [839].