题目:Algebraic Problem 链接:https://vjudge.net/problem/LightOJ-1070 分析: 1)$ a^n+b^n = ( a^{n-1}+b^{n-1} )*(a+b) - (a*b^{n-1}+a^{n-1}*b) $ 构造矩阵: $ \left[ \begin{array}{cc} 0 & -1 \\ a*b & a+b \end{array} \right] $ $$ \left[ \begin{array}{cc} a*b^{n-1}+…

题链:http://lightoj.com/volume_showproblem.php?problem=1070 1070 - Algebraic Problem PDF (English) Statistics Forum Time Limit: 2 second(s) Memory Limit: 32 MB Given the value of a+b and ab you will have to find the value of an+bn. a and b not necessar…

题目链接:problem=1070">LightOJ 1070 Algebraic Problem 题意:已知a+b和ab的值求a^n+b^n.结果模2^64. 思路: 1.找递推式 watermark/2/text/aHR0cDovL2Jsb2cuY3Nkbi5uZXQv/font/5a6L5L2T/fontsize/400/fill/I0JBQkFCMA==/dissolve/70/gravity/Center" alt=""> 得到递推式之后就是矩…

http://www.lightoj.com/volume_showproblem.php?problem=1070 思路:\({(a+b)}^n =(a+b){(a+b)}^{n-1} \) \((ab)C_{n}^{r}a^{n-r}b{r} = C_{n+2}^{r}a^{n-r+2}b{r} - a^{n+2} - b^{n+2} \) 综上\( f(n) = (a+b)f(n-1)-(ab)f(n-2) \) /** @Date : 2016-12-19-19.53 * @Author…

题目链接:http://lightoj.com/volume_showproblem.php?problem=1070 题意: 给你a+b和ab的值,给定一个n,让你求a^n + b^n的值(MOD 2^64). 题解: a + b也就是a^1 + b^1,然后要从这儿一直推到a^n + b^n. 矩阵快速幂?o(￣▽￣)d 那么主要解决的就是如何从a^n + b^n推到a^(n+1) + b^(n+1). 下面是推导过程: 由于推a^(n+1) + b^(n+1)要用到a^n + b^n和a^…

1065 - Number Sequence   PDF (English) Statistics Forum Time Limit: 2 second(s) Memory Limit: 32 MB Let's define another number sequence, given by the following function: f(0) = a f(1) = b f(n) = f(n-1) + f(n-2), n > 1 When a = 0 and b = 1, this sequ…

Algebraic Problem Given the value of a+b and ab you will have to find the value of an+bn. a and bnot necessarily have to be real numbers. Input Input starts with an integer T (≤ 10000), denoting the number of test cases. Each case contains three non-…

1 Introduction Real solving of polynomials is a fundamental problem with a wide application range. This package is targeted at providing black-box implementations of state-of-the-art algorithms to determine, compare, and approximate real roots of uni…

Problem A Algebraic Teamwork The great pioneers of group theory and linear algebra want to cooperate and join their theories. In group theory, permutations – also known as bijective functions – play an important role. For a finite set A, a function σ…

求有限集传递闭包的 Floyd Warshall 算法(矩阵实现) 其实就三重循环.zzuoj 1199 题 链接 http://acm.zzu.edu.cn:8000/problem.php?id=1199 Problem B: 大小关系 Time Limit: 2 Sec  Memory Limit: 128 MBSubmit: 148  Solved: 31[Submit][Status][Web Board] Description 当我们知道一组大小关系之后,可判断所有关系是否都能成立…