MathDB
combinatorics problem

Source: 2021 China Second Round A2

February 23, 2023
combinatorics

Problem Statement

Find the maximum value of MM, if you choose 1010 different real numbers randomly in [1,M][1,M], there must be 33 numbers a<b<ca<b<c, satisfy ax2+bx+c=0ax^2+bx+c=0 has no real root.
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