[HDU5015]233 Matrix 试题描述 In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it woul…

HDU5015 233 Matrix(矩阵高速幂) 题目链接 题目大意: 给出n∗m矩阵,给出第一行a01, a02, a03 ...a0m (各自是233, 2333, 23333...), 再给定第一列a10, a10, a10, a10,...an0.矩阵中的每一个元素等于左边的加上上面的,求出anm. 解题思路: 先要依据矩阵元素的特征得出相乘的矩阵T, 然后就是求这个矩阵T的m次幂(这里就能够用矩阵高速幂),最后再和给定的第一列所形成的矩阵相乘,就能得到anm. 求矩阵T请參考 代码:…

233 Matrix Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 1190    Accepted Submission(s): 700 Problem Description In our daily life we often use 233 to express our feelings. Actually, we may s…

233 Matrix Time Limit:5000MS     Memory Limit:65536KB     64bit IO Format:%I64d & %I64u Description In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the quest…

In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333, 23333...…

Description In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 233…

233 Matrix In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333…

题目链接:https://vjudge.net/problem/HDU-5015 233 Matrix Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2805    Accepted Submission(s): 1611 Problem Description In our daily life we often use 233 t…

先贴四份矩阵快速幂的模板:http://www.cnblogs.com/shangyu/p/3620803.html http://www.cppblog.com/acronix/archive/2010/08/23/124470.aspx?opt=admin http://www.cnblogs.com/vongang/archive/2012/04/01/2429015.html http://www.cnblogs.com/yan-boy/archive/2012/11/29/279529…

233 Matrix Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 749    Accepted Submission(s): 453 Problem Description In our daily life we often use 233 to express our feelings. Actually, we may s…

In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333, 23333...…

233 Matrix 有一\(n\times m\)的矩阵\(\{a\}\),定义\(a[0][0]=0,a[0][1]=233,a[0][2]=2333,a[0][3]=23333...\),然后给出\(a[1][0],a[2][0],...,a[n][0]\),未给出或定义的位置满足\(a[i][j]=a[i-1][j]+a[i][j-1]\),询问\(a[n][m]\)的值\(mod\ 10000007\),\(n ≤ 10,m ≤ 10^9\). 解 显然对于第0行,我们有转移方程\(a…

In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333, 23333...…

题意:给出矩阵的第0行(233,2333,23333,...)和第0列a1,a2,...an(n<=10,m<=10^9),给出式子: A[i][j] = A[i-1][j] + A[i][j-1],要求A[n][m]. 解法:看到n<=10和m<=10^9 应该对矩阵有些想法,现在我们假设要求A[a][b],则A[a][b] = A[a][b-1] + A[a-1][b] = A[a][b-1] + A[a-1][b-1] + A[a-2][b] = ... 这样相当于右图:,红…

题意:给定一个矩阵的第0列的第1到n个数,第一行第1个数开始每个数分别为233, 2333........,求第n行的第m个数. 分析: 其实也没那么难,自己想了半天还没往对的方向想,m最大1e9,应该立即想到要用到快速幂,关键在于递推矩阵. 递推矩阵的作用是依次算出每一列,第1列第一个数233是前一列的23*10+3,将前一列增加一个元素[3, 23, a1, a2,....an],然后第一列第一个数为3,对应向量[1, 0, 0, 0.....0],233对应向量[1, 10, 0, ...…

http://acm.hdu.edu.cn/showproblem.php?pid=5015 由于是个二维的递推式,当时没有想到能够这样构造矩阵.从列上看,当前这一列都是由前一列递推得到.依据这一点来构造矩阵.令b[i]代表第i列,是一个(n+2)*1的矩阵,即b[1] = [1,233......],之所以在加了两行,是要从前一个矩阵b[i-1]得到b[i]中的第二个数2333...,再构造一个转换矩阵a,它是一个(n+2)*(n+2)的矩阵,那么a^(m-1) * b就是第m列. /* a矩…

原题地址:http://acm.hdu.edu.cn/showproblem.php?pid=5015 解题思路:一看到题目,感觉是杨辉三角形,然后用组合数学做,不过没想出来怎么做,后来看数据+递推思想,感觉可能是矩阵快速幂,可惜一直不知道a*10+3的 +3怎么处理,果然还是图样图森破啊!如果矩阵能搞出来的话,后面的就简单了,真可惜一直到比赛结束也没想出来,看来这种矩阵的题目做的太少了,真后悔线性代数没有认真学.. 今天晚上又想了一会,完全可以把+3那个放到新的一阶矩阵上,值始终等于3,那么对…

矩阵快速幂 按列递推 #include <iostream> #include <cstdio> #include <cstdlib> #include <algorithm> #include <cmath> #include <cstring> #define ll long long using namespace std; const int MOD = 10000007; int n, m; struct Matrix {…

[题目链接] http://acm.hdu.edu.cn/showproblem.php?pid=5015 [算法] 矩阵乘法 [代码] #include<bits/stdc++.h> using namespace std; ; int i,j,n,m,ans; ],val[]; struct Matrix { ][]; } b; inline void multipy(Matrix &a,Matrix b) { int i,j,k; Matrix res; memset(res.m…

KUANGBIN带你飞 全专题整理 https://www.cnblogs.com/slzk/articles/7402292.html 专题一 简单搜索 POJ 1321 棋盘问题    //2019.3.18 POJ 2251 Dungeon Master POJ 3278 Catch That Cow  //4.8 POJ 3279 Fliptile POJ 1426 Find The Multiple  //4.8 POJ 3126 Prime Path POJ 3087 Shuffle…

动态dp 瞎扯两句吧 先从序列上理解,维护链的最大独立集. 考虑是从左边转移的,那么矩阵的转移唯一,直接放在线段树上就可以了. 放在树上的话,儿子都可以转移,把轻儿子的转移放在子链链头更新,然后每条链都处理成序列就行了. 注意一点,因为维护的是序列,所以单点存放的矩阵是只含轻儿子和自己的贡献,相当于把轻儿子的子树缩给了自己,而重儿子维护的东西是通过线段树上维护的区间贡献过来的. 咕咕模板,最大全独立集 Code: #include <cstdio> #include <algorithm…

Description windy在有向图中迷路了. 该有向图有 N 个节点,windy从节点 0 出发,他必须恰好在 T 时刻到达节点 N-1. 现在给出该有向图,你能告诉windy总共有多少种不同的路径吗? 注意:windy不能在某个节点逗留,且通过某有向边的时间严格为给定的时间. Input 第一行包含两个整数,N T. 接下来有 N 行,每行一个长度为 N 的字符串. 第i行第j列为'0'表示从节点i到节点j没有边. 为'1'到'9'表示从节点i到节点j需要耗费的时间. Output 包…

layout: post title: 「kuangbin带你飞」专题十九 矩阵 author: "luowentaoaa" catalog: true tags: mathjax: true - kuangbin - 矩阵 传送门 A.CodeForces - 450B Jzzhu and Sequences 题意 水题,主要是拿来试试模板 题解 F[i]=f[i-1]-f[i-2] #include<bits/stdc++.h> using namespace std;…

233 Matrix Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 1399    Accepted Submission(s): 826 Problem Description In our daily life we often use 233 to express our feelings. Actually, we may…

[kuangbin带你飞]专题1-23 专题一 简单搜索 POJ 1321 棋盘问题POJ 2251 Dungeon MasterPOJ 3278 Catch That CowPOJ 3279 FliptilePOJ 1426 Find The MultiplePOJ 3126 Prime PathPOJ 3087 Shuffle'm UpPOJ 3414 PotsFZU 2150 Fire GameUVA 11624 Fire!POJ 3984 迷宫问题HDU 1241 Oil Deposit…

LOJ 思路 显然是要DP的.设\(dp_{u,i}\)表示\(u\)子树内一个包含\(u\)的连通块异或出\(i\)的方案数,发现转移可以用FWT优化,写成生成函数就是这样的: \[ dp_{u}=x^{val_u}\prod (dp_v+1) \] 最后答案是所有DP值的和,于是获得了朴素的\(O(nmQ)\)的做法.(中间运算全部用点值表示) 显然是要用动态DP优化的,我们另外记一个\(S_u\)表示子树的DP值和自己的DP值的和,写成矩阵的形式,就是 \[ \left[\begin{ma…

专题一 简单搜索 POJ 1321 棋盘问题POJ 2251 Dungeon MasterPOJ 3278 Catch That CowPOJ 3279 FliptilePOJ 1426 Find The MultiplePOJ 3126 Prime PathPOJ 3087 Shuffle'm UpPOJ 3414 PotsFZU 2150 Fire GameUVA 11624 Fire!POJ 3984 迷宫问题HDU 1241 Oil DepositsHDU 1495 非常可乐HDU 26…

各种TEL,233啊.没想到是处理掉0的情况就能够过啊.一直以为会有极端数据.没想到居然是这种啊..在网上看到了一个AC的奇妙的代码,经典的矩阵乘法,仅仅只是把最内层的枚举,移到外面就过了啊...有点不理解啊,复杂度不是一样的吗.. Matrix multiplication Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others) Total Submission(s): 640 …

http://acm.hdu.edu.cn/showproblem.php?pid=5015 需要构造一个 n+2 维的矩阵. 就是要增加一维去维护2333这样的序列. 可以发现 2333 = 233*10 + 3 所以增加了一维就 是1, 然后就可以全部转移了. 10 0 0 0 0 ... 1                                                                                                   1…

[BZOJ4128]Matrix Description 给定矩阵A,B和模数p,求最小的x满足 A^x = B (mod p) Input 第一行两个整数n和p,表示矩阵的阶和模数,接下来一个n * n的矩阵A.接下来一个n * n的矩阵B Output 输出一个正整数,表示最小的可能的x,数据保证在p内有解 Sample Input 2 7 1 1 1 0 5 3 3 2 Sample Output 4 HINT 对于100%的数据,n <= 70,p <=19997,p为质数,0<…