# Gulliver and the King

• April 28th 2013, 01:28 AM
baxteryay
Sigma
What does sigma mean I maths
• April 28th 2013, 05:11 AM
Soroban
Re: Gulliver and the King
Hello, baxteryay!

This is based on a classic problem.

He could cut one link like this: . $\subset\!\supset\!\!\!\subset\!\!\supset \;\;\subset\!\supset \;\;\subset\!\!\supset \!\!\!\subset\!\supset \!\!\! \subset\!\supset \!\!\!\subset\!\supset$

Then he can present from 1 to 7 links.

. . $\begin{array}{cc} \text{Number} & \text{Combination} \\ \hline 1 & 1 \\ 2 & 2 \\ 3 & 1+2 \\ 4 & 4 \\ 5 & 1+4 \\ 6 & 2+4 \\ 7 & 1+2+4 \end{array}$

Since he needed two cuts, he had more than 7 links,
. . up to a maximum of 15 links.