Problem #PRU-100346

Problemas Matemáticas Discretas Teoría de conjuntos y lógica Lógica matemática

Problem

One hundred and one numbers are written down: \(1^2\), \(2^2\), ..., \(101^2\). In one go it is allowed to erase any two numbers and write the absolute value of their difference instead. What is the smallest number which can be obtained as the result of 100 such operations?