One day, Alice and Bob felt bored again, Bob knows Alice is a girl who loves math and is just learning something about matrix, so he decided to make a crazy problem for her. Bob has a six-faced dice which has numbers 0, 1, 2, 3, 4 and 5 on each face.…

题目链接.hdu 4965 Fast Matrix Calculation 题目大意:给定两个矩阵A,B,分别为N*K和K*N. 矩阵C = A*B 矩阵M=CN∗N 将矩阵M中的全部元素取模6,得到新矩阵M' 计算矩阵M'中全部元素的和 解题思路:由于矩阵C为N*N的矩阵,N最大为1000.就算用高速幂也超时,可是由于C = A*B, 所以CN∗N=ABAB-AB=AC′N∗N−1B,C' = B*A, 为K*K的矩阵,K最大为6.全然能够接受. #include <cstdio> #inc…

HDU 4965 Fast Matrix Calculation 题目链接 矩阵相乘为AxBxAxB...乘nn次.能够变成Ax(BxAxBxA...)xB,中间乘n n - 1次,这样中间的矩阵一个仅仅有6x6.就能够用矩阵高速幂搞了 代码: #include <cstdio> #include <cstring> const int N = 1005; const int M = 10; int n, m; int A[N][M], B[M][N], C[M][M], CC[N…

http://acm.hdu.edu.cn/showproblem.php?pid=4965 2014 Multi-University Training Contest 9 1006 Fast Matrix Calculation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 238    Accepted Submission(…

题目链接:https://vjudge.net/problem/HDU-4965 Fast Matrix Calculation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 2057    Accepted Submission(s): 954 Problem Description One day, Alice and Bob…

题目链接:hdu 4965,题目大意:给你一个 n*k 的矩阵 A 和一个 k*n 的矩阵 B,定义矩阵 C= A*B,然后矩阵 M= C^(n*n),矩阵中一切元素皆 mod 6,最后求出 M 中所有元素的和.题意很明确了,便赶紧敲了个矩阵快速幂的模板(因为编程的基本功不够还是调试了很久),然后提交后TLE了,改了下细节,加了各种特技,比如输入优化什么的,还是TLE,没办法,只好搜题解,看了别人的题解后才知道原来 A*B 已经是 n*n 的矩阵了,所以(A*B)n*n 的快速幂里的每个乘法都是…

题目链接 http://acm.hdu.edu.cn/showproblem.php?pid=4965 题意 给出两个矩阵 一个A: n * k 一个B: k * n C = A * B M = (A * B) ^ (n * n) 然后将M中所有的元素对6取余后求和 思路 矩阵结合律.. M = (A * B) * (A * B) * (A * B) * (A * B) * (A * B) * (A * B) * (A * B) * (A * B) -- 其实也等价于 M = A * (B *…

题意: 给出一个\(n \times k\)的矩阵\(A\)和一个\(k \times n\)的矩阵\(B\),其中\(4 \leq N \leq 1000, \, 2 \leq K \leq 6\). 矩阵\(C=A \cdot B\),求矩阵\(C^{N^2}\)的各个元素之和,以上矩阵运算均是在模\(6\)的情况下计算的. 分析: 如果我们直接计算\(A \cdot B\)的话,这个矩阵非常大,不可能进行快速幂计算. 所以要变形一下, \((A \cdot B)^{N^2}=A \cdot…

一种奇葩的写法,纪念一下当时的RE. #include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <cmath> #include <algorithm> #include <string> #include <queue> #include <stack> #include <vec…

One day, Alice and Bob felt bored again, Bob knows Alice is a girl who loves math and is just learning something about matrix, so he decided to make a crazy problem for her. Bob has a six-faced dice which has numbers 0, 1, 2, 3, 4 and 5 on each face.…

One day, Alice and Bob felt bored again, Bob knows Alice is a girl who loves math and is just learning something about matrix, so he decided to make a crazy problem for her. Bob has a six-faced dice which has numbers 0, 1, 2, 3, 4 and 5 on each face.…

题面:http://acm.hdu.edu.cn/showproblem.php?pid=4965 题解:https://www.zybuluo.com/wsndy-xx/note/1153981…

一开始看这个题目以为是个裸的矩阵快速幂的题目, 后来发现会超时,超就超在  M = C^(N*N). 这个操作,而C本身是个N*N的矩阵,N最大为1000. 但是这里有个巧妙的地方就是 C的来源其实 是= A*B, A为一个N*k的矩阵,B为一个k*N的矩阵,k最大为10,突破的就在这里,矩阵的结合律要用起来 即我先不把A*B结合,我先把B*A结合,这样M不是要C^N*N吗,就先把里面N*N个(B*A)算出来,就10*10再乘以logN*N即可.最后再两端乘一下A和B即可 也挺机智的,我没想到结…

Fast Matrix Calculation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others) Total Submission(s): 170    Accepted Submission(s): 99 Problem Description    One day, Alice and Bob felt bored again, Bob knows Alice is a…

题目链接 Fast Matrix Calculation Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 87    Accepted Submission(s): 39 Problem Description One day, Alice and Bob felt bored again, Bob knows Alice is a…

A Simple Problem with Integers 每次将区间向下更新,或是用之前的方法,统计当前节点到父节点处的覆盖数目. #include <cstdio> #include <iostream> using namespace std; ; typedef long long int64; int d[MAXN]; class SegNode { public: int L, R; int64 c, sum; int64 get_c() { ); } void lo…

UVA 11992 - Fast Matrix Operations 题目链接 题意:给定一个矩阵,3种操作,在一个矩阵中加入值a,设置值a.查询和 思路:因为最多20列,所以全然能够当作20个线段树来做,然后线段树是区间改动区间查询,利用延迟操作,开两个延迟值一个存放set操作.一个存放add操作 代码: #include <cstdio> #include <cstring> #include <algorithm> using namespace std; #de…

UVA11992 - Fast Matrix Operations(线段树区间改动) 题目链接 题目大意:给你个r*c的矩阵,初始化为0. 然后给你三种操作: 1 x1, y1, x2, y2, v 把由x1,y1, x2, y2构成的子矩阵里的每一个元素都加上v. 2 x1, y1, x2, y2, v 把这个子矩阵的每一个元素都改动为v. 3 x1, y1, x2, y2 查询这个子矩阵的元素之和,和这些元素的最大值和最小值. 解题思路:由于矩阵的行最多20行,所以能够将这个矩阵的元素构建一…

注意 setsetset 和 addvaddvaddv 标记的下传. 我们可以控制懒惰标记的优先级. 由于 setsetset 操作的优先级高于 addaddadd 操作,当下传 setsetset 操作时可直接强制清空 addaddadd 的 lazylazylazy. 实际上,当一个节点同时存在 setsetset 和 addaddadd 标记时,一定是先有的 setsetset 再被 addaddadd,因为如果反之,该节点上的 addaddadd标记会被清空. #include<cstd…

UVA 11992 - Fast Matrix Operations 给定一个r*c(r<=20,r*c<=1e6)的矩阵,其元素都是0,现在对其子矩阵进行操作. 1 x1 y1 x2 y2 val 表示将(x1,y1,x2,y2)(x1<=x2,y1<=y2)子矩阵中的所有元素add上val: 2 x1 y1 x2 y2 val 表示将(x1,y1,x2,y2)(x1<=x2,y1<=y2)子矩阵中的所有元素set为val: 3 x1 y1 x2 y2 val 表示输…

困难,.,真,,,不是太困难 的问题是,有一个矩阵运算优化 您有权发言权N*K矩阵A给K*N矩阵B(1<=N<=1000 && 1=<K<=6).他们拿起了第一次骑马C矩阵,再算上C^(N*N) 当于 ABABABABABABAB...=(AB)^(N*N) 不如 A(BA)^(N*N-1)B 由于BA乘得K*K的矩阵,K是比較小的 #include <cstdio> #include <cstdlib> #include <cstri…

难度上.,,确实...不算难 问题是有个矩阵运算的优化 题目是说给个N*K的矩阵A给个K*N的矩阵B(1<=N<=1000 && 1=<K<=6),先把他们乘起来乘为C矩阵.然后算C^(N*N) 相当于 ABABABABABABAB...=(AB)^(N*N) 不如 A(BA)^(N*N-1)B 由于BA乘得K*K的矩阵,K是比較小的 #include <cstdio> #include <cstdlib> #include <cstr…

http://acm.hdu.edu.cn/showproblem.php?pid=2686     Problem Description Yifenfei very like play a number game in the n*n Matrix. A positive integer number is put in each area of the Matrix.Every time yifenfei should to do is that choose a detour which…

One day, Alice and Bob felt bored again, Bob knows Alice is a girl who loves math and is just learning something about matrix, so he decided to make a crazy problem for her. Bob has a six-faced dice which has numbers 0, 1, 2, 3, 4 and 5 on each face.…

顺手写了下矩阵类模板 利用到矩阵乘法的交换律 (A*B)^n == A * (B*A)^n-1 *B #include <cstdio> #include <cstring> #include <iostream> #include <algorithm> #include <cmath> #include <vector> #include <utility> #include <stack> #includ…

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…

题目传送门 题意:训练指南P207 分析:因为矩阵不超过20行,所以可以建20条线段的线段树,支持两个区间更新以及区间查询. #include <bits/stdc++.h> using namespace std; #define lson l, mid, o << 1 #define rson mid + 1, r, o << 1 | 1 typedef long long ll; const int INF = 0x3f3f3f3f; const int N =…

题目链接 2015-10-30 https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=3143 给你一个矩阵,矩阵的每个元素初始值均为0 进行m次操作,操作共有三种类型,分别用1,2,3表示 操作一:子矩阵(x1, y1, x2, y2)的所有元素增加v 操作二:子矩阵(x1, y1, x2, y2)的所有元素设为v 操作三:查询子矩阵(x1,…

解法:因为至多20行,所以至多建20棵线段树,每行建一个.具体实现如下,有些复杂,慢慢看吧. #include <iostream> #include <cstdio> #include <cstring> #include <cmath> #include <algorithm> using namespace std; #define N 1000010 struct node { int mini,maxi,sum; int addmark…

比较综合的一道题目. 二维的线段树,支持区间的add和set操作,然后询问子矩阵的sum,min,max 写完这道题也是醉醉哒,代码仓库里还有一份代码就是在query的过程中也pushdown向下传递标记. #include <cstdio> #include <cstring> #include <algorithm> using namespace std; << ; int _sum, _min, _max, op, x1, x2, y1, y2, x…