http://poj.org/problem?id=3233 Matrix Power Series Time Limit: 3000MS   Memory Limit: 131072K Total Submissions: 18658   Accepted: 7895 Description Given a n × n matrix A and a positive integer k, find the sum S = A + A2 + A3 + … + Ak. Input The inpu…

Matrix Power Series Time Limit: 3000MS   Memory Limit: 131072K Total Submissions: 23187   Accepted: 9662 Description Given a n × n matrix A and a positive integer k, find the sum S = A + A2 + A3 + … + Ak. Input The input contains exactly one test cas…

题意 题目链接 给出$n \times n$的矩阵$A$,求$\sum_{i = 1}^k A^i $,每个元素对$m$取模 Sol 考虑直接分治 当$k$为奇数时 $\sum_{i = 1}^k A^i = \sum_{i = 1}^{k / 2 + 1} A^i + A^{k / 2 + 1}(\sum_{i = 1}^{k / 2} A^i)$ 当$k$为偶数时 $sum_{i = 1}^k = \sum_{i = 1}^{k / 2} A^i + A^{k / 2}(\sum_{i =…

链接 也是矩阵经典题目  二分递归求解 a+a^2+a^3+..+a^(k/2)+a^(k/2+1)+...+a^k = a+a^2+..+a^k/2+a^k/2(a^1+a^2+..+a^k/2)(偶数) a+a^2+a^3+..+a^(k/2)+a^(k/2+1)+...+a^k = a+a^2+..+a^k/2+a^k/2(a^1+a^2+..+a^k/2)+a^k. 奇数 #include <iostream> #include<cstdio> #include<cs…

构造矩阵 #include <cstdio> ; struct Matrix{int a[MAXN][MAXN];}O,I;int N; ;i<MAXN;i++);j<MAXN;j++)O.a[i][j]=,I.a[i][j]=(i==j);} Matrix Mul(Matrix A,Matrix B,int MOD){ Matrix C=O; ;i<=N;i++) ;j<=N;j++) ;k<=N;k++) C.a[i][j]=(C.a[i][j]+A.a[i]…

妈妈呀....这简直是目前死得最惨的一次. 贴题目: http://poj.org/problem?id=3233 Matrix Power Series Time Limit: 3000MS Memory Limit: 131072K Total Submissions: 19128 Accepted: 8068 Description Given a n × n matrix A and a positive integer k, find the sum S = A + A2 + A3 +…

此课程(MOOCULUS-2 "Sequences and Series")由Ohio State University于2014年在Coursera平台讲授. PDF格式教材下载 Sequences and Series 本系列学习笔记PDF下载(Academia.edu) MOOCULUS-2 Solution Summary Let $(a_n)$ be a sequence of real numbers starting with $a_0$. Then the power…

Matrix Power Series   Description Given a n × n matrix A and a positive integer k, find the sum S = A + A2 + A3 + … + Ak. Input The input contains exactly one test case. The first line of input contains three positive integers n (n ≤ 30), k (k ≤ 109)…

Matrix Power Series r时间限制: 1 Sec 内存限制: 512 MB 题目描述 给定矩阵A,求矩阵S=A^1+A^2+--+A^k,输出矩阵,S矩阵中每个元都要模m. 数据范围: n (n ≤ 30) , k (k ≤ 109) ,m (m < 104) 输入 输入三个正整数n,k,m 输出 输出矩阵S mod m 样例输入 2 2 4 0 1 1 1 样例输出 1 2 2 3 这道题不多说,可以得出加速矩阵(E为单位矩阵,也就是形为\(\begin{bmatrix}1&…

Matrix Power Series [题目链接]Matrix Power Series [题目类型]二分等比求和 &题解: 这题我原来用vector写的,总是超时,不知道为什么,之后就改用数组了,照着别人的代码敲了一遍 [时间复杂度]O(logn) &代码: #include <cstdio> #include <bitset> #include <iostream> #include <set> #include <cmath&g…