Max Sum Plus Plus     HDU - 1024 Now I think you have got an AC in Ignatius.L's "Max Sum" problem. To be a brave ACMer, we always challenge ourselves to more difficult problems. Now you are faced with a more difficult problem. Given a consecutiv…

Now I think you have got an AC in Ignatius.L's "Max Sum" problem. To be a brave ACMer, we always challenge ourselves to more difficult problems. Now you are faced with a more difficult problem. Given a consecutive number sequence S 1, S 2, S 3,…

用二位数组dp[i][j]记录组数为i,前j个数字的最大子段和. 转移方程: dp[i][j],考虑第j个数,第j个数可以并到前面那一组,此时dp[i][j]=dp[i][j-1]+arr[j],第j个数也可以是作为新的一组,那么dp[i][j]=max(dp[i-1][k])(i-1<=k<=j-1)+arr[j].我们只要求出前i-1组最大的字段和,然后加上arr[j]这一新的组就行了. 二维数组(o(n^3))的写法 ;i<=m;i++) for(int j=i;j<=n;j…

/* dp[i][j]=max(dp[i][j-1]+a[j],max(dp[i-1][k])+a[j]) (0<k<j) dp[i][j-1]+a[j]表示的是前j-1分成i组,第j个必须放在前一组里面. max( dp[i-1][k] ) + a[j] )表示的前(0<k<j)分成i-1组,第j个单独分成一组. */ #include <iostream> #include <cstdio> #include <cstring> #inclu…

[题解]最大 M 子段和 Max Sum Plus Plus [Hdu1024] [51nod1052] 传送门:最大 \(M\) 子段和 \(Max\) \(Sum\) \(Plus\) \(Plus\) \([Hdu1024]\) \([51nod1052]\) [题目描述] 给出一个长度为 \(N\) 的序列 ,将这 \(N\) 个数划分为互不相交的 \(M\) 个子段,并使得 \(M\) 个子段的和最大. [样例] 样例输入: 7 2 -2 11 -4 13 -5 6 -2 样例输出:…

Max Sum. The following is an instance. a)    (-2,11,-4,13,-5,-2) 思路: 最大子段和:给定一个序列(元素可正可负),找出其子序列中元素和最大的值. 1.令b[j]表示以位置 j 为终点的所有子区间中和最大的一个 2.子问题:如j为终点的最大子区间包含了位置j-1,则以j-1为终点的最大子区间必然包括在其中 3.如果b[j-1] >0, 那么显然b[j] = b[j-1] + a[j],用之前最大的一个加上a[j]即可,因为a[j]必…

http://acm.hdu.edu.cn/showproblem.php?pid=1003 给出一个包含n个数字的序列{a1,a2,..,ai,..,an},-1000<=ai<=1000 求最大连续子段和及其起始位置和终止位置,很基础的动态规划(DP)问题,看完DP第一次做的DP题目 DP真的是一种很优美的算法,或者说思想,但是比较难理解,我对DP的理解还很浅薄 # include <stdio.h> # define INF 1000000000 int main() { i…

Max Sum Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 135262    Accepted Submission(s): 31311 Problem Description Given a sequence a[1],a[2],a[3]......a[n], your job is to calculate the max s…

Max Sum Plus Plus Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 29942    Accepted Submission(s): 10516 Problem Description Now I think you have got an AC in Ignatius.L's "Max Sum" problem…

http://acm.hdu.edu.cn/showproblem.php?pid=1024     Max Sum Plus Plus Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 23844    Accepted Submission(s): 8143 Problem Description Now I think you hav…