코딩 연습

In the following equation \(x, \; y,\) and \(n\) are positive integers. \[\dfrac{1}{x} + \dfrac{1}{y} = \dfrac{1}{n}\] For \(n=4\) there are exactly three distinct solutions: \[\begin{split} \dfrac{1}{5} + \dfrac{1}{20} &= \dfrac{1}{4} \\ \dfrac{1}{6} + \dfrac{1}{12} &= \dfrac{1}{4} \\ \dfrac{1}{8} + \dfrac{1}{8} &= \dfrac{1}{4} \end{split}\] What is the least value of \(n\) for which the bumber..

The following undirected network consists of seven vertices and twelve edges with a total weight of \(243\). The same network can be represented by the matrix below. A B C D E F G A - 16 12 21 - - - B 16 - - 17 20 - - C 12 - - 28 - 31 - D 21 17 28 - 18 19 23 E - 20 - 18 - - 11 F - - 31 19 - - 27 G - - - 23 11 27 - However, it is possible to optimize the network by removing some edges and still e..

The Fibonacci sequence is defined by the recurrence relation: \({\rm F}_n = {\rm F}_{n-1} + {\rm F}_{n-2}, \) where \({\rm F}_1 =1 \) and \({\rm F}_2 = 1\) It turns out that \(\rm F_{541}\), which contains \(113\) digits, is the first Fibonacci number for which the last nine digits are \(1-9\) pandigital (contain all the digits \(1\) to \(9\), but bot necessarily in order). And \(\rm F_{2749}\),..