On a Problem of Steinhaus

Marcin Anholcer, Bartłomiej Bosek, Jarosław Grytczuk +4

Let $N$ be a positive integer. A sequence $X=(x_1,x_2,\dots ,x_N)$ of points in the unit interval $[0,1)$ is piercing if $\{x_1,x_2,\ldots,x_n\}\cap \left[\frac{i}{n},\frac{i+1}{n}…