A number sequence is defined as follows:

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

  1. 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 ...

  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 ...

  3. 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 ...

  4. 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 ...

  5. 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 ...

  6. 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 ...

  7. 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 ...

  8. 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 ...

  9. 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 ...

  10. 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

  1. QT_OPENGL-------- 3.ElementArraryBuffer

    与上一节内容基本相同,只是用ElementArraryBuffer绘制三角形,也就是VBO与IBO. 1.VBO 一系列点,通过glDrawArrays指定绘制几个点,是连续的,不能跳跃.2.IBO( ...

  2. Docker容器中安装新的程序

    在容器里面安装一个简单的程序(ping). 之前下载的是ubuntu的镜像,则可以使用ubuntu的apt-get命令来安装ping程序:apt-get install -y ping. $docke ...

  3. vmware中配置CentOS

    一.下载 http://mirrors.aliyun.com/centos/7.6.1810/isos/x86_64/CentOS-7-x86_64-DVD-1810.iso 这里选择的是阿里云镜像 ...

  4. 自定义View系列教程03--onLayout源码详尽分析

    深入探讨Android异步精髓Handler 站在源码的肩膀上全解Scroller工作机制 Android多分辨率适配框架(1)- 核心基础 Android多分辨率适配框架(2)- 原理剖析 Andr ...

  5. Python3.6正向解析与反向解析域中主机

    公司最近接手的一家跨国企业的项目,该企业单域.多站点,且遍布美国.巴西.日本.东京.新加坡等多个国家,服务器及客户端计算机数量庞大.由于处理一些特殊故障,需要找出一些不在域中的网络设备及存储.NBU等 ...

  6. JQuery------库

    JQuery-------------模块.类库 集成了DOM/BOM/JS的类库 一.查找元素 DOM 10左右 JQuery: 选择器: 筛选: ps:版本: 1.x:兼容性最好.1.12推荐 2 ...

  7. LightOJ 1269 Consecutive Sum (Trie树)

    Jan's LightOJ :: Problem 1269 - Consecutive Sum 题意是,求给定序列的中,子序列最大最小的抑或和. 做法就是用一棵Trie树,记录数的每一位是0还是1.查 ...

  8. oracle用Where子句替换HAVING子句

    避免使用HAVING子句, HAVING 只会在检索出所有记录之后才对结果集进行过滤. 这个处理需要排序,总计等操作. 如果能通过WHERE子句限制记录的数目,那就能减少这方面的开销. 例如: 低效: ...

  9. vscode settings.json配置

    // 将设置放入此文件中以覆盖默认设置 { "editor.fontSize": 18, "editor.tabSize": 2, "editor.m ...

  10. ORACLE内部操作

    当执行查询时,ORACLE采用了内部的操作. 下表显示了几种重要的内部操作. ORACLE Clause 内部操作 ORDER BY SORT ORDER BY UNION UNION-ALL MIN ...