HDU - 1005 Number Sequence (矩阵快速幂)
f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.
Given A, B, and n, you are to calculate the value of f(n).
InputThe input consists of multiple test cases. Each test case contains 3 integers A, B and n on a single line (1 <= A, B <= 1000, 1 <= n <= 100,000,000). Three zeros signal the end of input and this test case is not to be processed.
OutputFor each test case, print the value of f(n) on a single line.
Sample Input
1 1 3
1 2 10
0 0 0
Sample Output
2
5 原谅博主不会Markdown

#include<iostream>
#include<algorithm>
#include<vector>
#include<stack>
#include<queue>
#include<map>
#include<set>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<ctime>
#define fuck(x) cout<<#x<<" = "<<x<<endl;
#define debug(a,i) cout<<#a<<"["<<i<<"] = "<<a[i]<<endl;
#define ls (t<<1)
#define rs ((t<<1)|1)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
const int maxn = ;
const int maxm = ;
const int inf = 2.1e9;
const ll Inf = ;
const int mod = ;
const double eps = 1e-;
const double pi = acos(-); struct Matrix{
int a[][];
}; Matrix mul(Matrix a,Matrix b){
Matrix ans;
for(int i=;i<=;i++){
for(int j=;j<=;j++){
ans.a[i][j]=;
for(int k=;k<=;k++){
ans.a[i][j]+=a.a[i][k]*b.a[k][j];
}
ans.a[i][j]%=mod;
}
}
return ans;
} Matrix q_pow(Matrix a,int b){
Matrix ans ;
ans.a[][]=ans.a[][]=;
ans.a[][]=ans.a[][]=;
while (b){
if(b&){
ans=mul(ans,a);
}
b>>=;
a=mul(a,a);
}
return ans;
} int main()
{
// ios::sync_with_stdio(false);
// freopen("in.txt","r",stdin); int A,B,n; while (scanf("%d%d%d",&A,&B,&n)!=EOF&&A&&B&&n){
Matrix exa;
if(n<=){printf("%d\n",);
continue;
}
exa.a[][]=A;
exa.a[][]=B;
exa.a[][]=;
exa.a[][]=; exa=q_pow(exa,n-);
printf("%d\n",(exa.a[][]+exa.a[][])%);
}
return ;
}
HDU - 1005 Number Sequence (矩阵快速幂)的更多相关文章
- HDU - 1005 Number Sequence 矩阵快速幂
HDU - 1005 Number Sequence Problem Description A number sequence is defined as follows:f(1) = 1, f(2 ...
- HDU 1005 Number Sequence(矩阵快速幂,快速幂模板)
Problem Description A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1 ...
- HDU - 1005 -Number Sequence(矩阵快速幂系数变式)
A number sequence is defined as follows: f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) m ...
- HDU 5950 - Recursive sequence - [矩阵快速幂加速递推][2016ACM/ICPC亚洲区沈阳站 Problem C]
题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5950 Farmer John likes to play mathematics games with ...
- UVA - 10689 Yet another Number Sequence 矩阵快速幂
Yet another Number Sequence Let’s define another number sequence, given by the foll ...
- Yet Another Number Sequence——[矩阵快速幂]
Description Everyone knows what the Fibonacci sequence is. This sequence can be defined by the recur ...
- Yet another Number Sequence 矩阵快速幂
Let’s define another number sequence, given by the following function: f(0) = a f(1) = b f(n) = f(n ...
- SDUT1607:Number Sequence(矩阵快速幂)
题目:http://acm.sdut.edu.cn/sdutoj/problem.php?action=showproblem&problemid=1607 题目描述 A number seq ...
- hdu 5950 Recursive sequence 矩阵快速幂
Recursive sequence Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Other ...
- Codeforces 392C Yet Another Number Sequence (矩阵快速幂+二项式展开)
题意:已知斐波那契数列fib(i) , 给你n 和 k , 求∑fib(i)*ik (1<=i<=n) 思路:不得不说,这道题很有意思,首先我们根据以往得出的一个经验,当我们遇到 X^k ...
随机推荐
- TensorFlow3学习笔记1
1.简单实例:向量相加 下面我们通过两个向量相加的简单例子来看一下Tensorflow的基本用法. [1. 1. 1. 1.] + [2. 2. 2. 2.] = [3. 3. 3. 3.] impo ...
- 发布网站时 遇到XX类型 同时存在XX.dll和XX.dll中
遇到该问题的可能如下: 1.复制了页面 更改了名字 可是对应的一些地方没有注意 <%@ Page Language="C#" AutoEventWireup="tr ...
- 【机器学习】Iris Data Set(鸢尾花数据集)
[机器学习]Iris Data Set(鸢尾花数据集) 注:数据是机器学习模型的原材料,当下机器学习的热潮离不开大数据的支撑.在机器学习领域,有大量的公开数据集可以使用,从几百个样本到几十万个样本的数 ...
- UVa 679 【思维题】
UVA 679 紫书P148例题. 题目大意:小球从一棵所有叶子深度相同的二叉树的顶点开始向下落,树开始所有节点都为0.若小球落到节点为0的则往左落,否则向右落.并且小球会改变它经过的节点,0变1,1 ...
- android完美的退出方法
http://blog.csdn.net/get123/article/details/9001214
- 动态设置iframe高度
<%//动态设置iframe高度 %><script language="javascript" type="text/javascript" ...
- iOS中几种数据持久化方案:我要永远地记住你!
http://www.cocoachina.com/ios/20150720/12610.html 作者:@翁呀伟呀 授权本站转载 概论 所谓的持久化,就是将数据保存到硬盘中,使得在应用程序或机器重启 ...
- javascript简介 标签: javascript 2015-11-13 12:13 1712人阅读 评论(39)
JavaScript是一种属于网络的脚本语言,已经被广泛用于Web应用开发,常用来为网页添加各式各样的动态功能,为用户提供更流畅美观的浏览效果.通常JavaScript脚本是通过嵌入在HTML中来实现 ...
- composer基本使用
一.Composer的安装 1.下载Composer 2.Composer安装 1).Composer安装前请确保已经安装了php:打开命令行窗口输入php -v可以查看php的当前版本号. 3.局部 ...
- list extend 和 append
append 一次追加一个列表 extend 一次追加所有的元素 单个的形式加入