hdu 5015 233 Matrix(构造矩阵)】的更多相关文章

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…
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…
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…
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 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…
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…
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, ...…
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…
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…