id=19208">题目:Optimal Array Multiplication Sequence 题目大意:给出N个矩阵相乘.求这些矩阵相乘乘法次数最少的顺序. 解题思路:矩阵相乘不满足交换率但满足结合率.dp[i][j] 代表第1个矩阵到第j个矩阵之间的最少的乘法次数,转移状态方程:dp[i][j] = Min(dp[i][k] + dp[k + 1][j]  + A[i - 1] * A[k] *A[j]) k>= i && k <= j - 1.A0A…

题目传送门 /* 题意:加上适当的括号,改变计算顺序使得总的计算次数最少 矩阵连乘积问题,DP解决:状态转移方程: dp[i][j] = min (dp[i][k] + dp[k+1][j] + p[i-1] * p[k] * p[j]) (i<=k<j) s[i][j] 记录断开的地方(即加括号的位置),回溯法输出结果 */ #include <cstdio> #include <cstring> #include <string> #include &l…

HDU 5860 Death Sequence(递推) 题目链接http://acm.split.hdu.edu.cn/showproblem.php?pid=5860 Description You may heard of the Joseph Problem, the story comes from a Jewish historian living in 1st century. He and his 40 comrade soldiers were trapped in a cave…

                           Find the Permutations Sorting is one of the most used operations in real life, where Computer Science comes into act. It iswell-known that the lower bound of swap based sorting is nlog(n). It means that the best possiblesor…

题目链接: Beauty of Sequence Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 813    Accepted Submission(s): 379 Problem Description Sequence is beautiful and the beauty of an integer sequence is def…

UVA 11077 - Find the Permutations option=com_onlinejudge&Itemid=8&page=show_problem&category=485&problem=2018&mosmsg=Submission+received+with+ID+13900478" target="_blank" style="">题目链接 题意:给定n,k求出有多少个包括元素[1-n…

Recursive sequence Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2882    Accepted Submission(s): 1284 Problem Description Farmer John likes to play mathematics games with his N cows. Recently,…

Problem Description You may heard of the Joseph Problem, the story comes from a Jewish historian living in 1st century. He and his 40 comrade soldiers were trapped in a cave, the exit of which was blocked by Romans. They chose suicide over capture an…

When Mr. and Mrs. Clinton's twin sons Ben and Bill had their tenth birthday, the party was held at the McDonald's restaurant at South Broadway 202, New York. There were 20 kids at the party, including Ben and Bill. Ronald McDonald had made 10 hamburg…

题目大意:给你玩一个一维版的消灭星星,得分是当前消去的区间的长度的平方,求最大得分. 现在分析一下题目 因为得分是长度的平方,不能直接累加,所以在计算得分时需要考虑前一个状态所消去的长度,仅用dp[l][r]来表示区间最大得分是不足以用来转移的. 我们的解决方法是:增加一维预测未来可能会出现的情况,用dp[l][r][t]表示区间[l,r]之后附加t个与r同色的方块时所能得到的最大值.为了降低时间复杂度,我们可以在读入时处理一下,将一段长度为a.颜色为b的区间k表示成一个len[k]=a,col…