RU-ALLRUSSIAN 1972 Problem 14
x₁, x₂, ..., xₙ are positive reals with sum 1. Let s be the largest of x₁/(1 + x₁), x₂/(1 + x₁ + x₂), ..., xₙ/(1 + x₁ + ... + xₙ). What is the smallest possible value of s? What are the corresponding xᵢ?
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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