MathDB
P35 [Combinatorics] - Turkish NMO 1st Round - 2004

Source:

November 15, 2013
absolute value

Problem Statement

We are placing nn integers whose sum is 9494 over a circle such that each number is equal to the absolute value of the difference of (clockwise) next two numbers. What is the largest nn that makes such placing possible?
<spanclass=latexbold>(A)</span> 188<spanclass=latexbold>(B)</span> 186<spanclass=latexbold>(C)</span> 141<spanclass=latexbold>(D)</span> 100<spanclass=latexbold>(E)</span> 47 <span class='latex-bold'>(A)</span>\ 188 \qquad<span class='latex-bold'>(B)</span>\ 186 \qquad<span class='latex-bold'>(C)</span>\ 141 \qquad<span class='latex-bold'>(D)</span>\ 100 \qquad<span class='latex-bold'>(E)</span>\ 47