Problem Description
Nowadays, a kind of chess game called “Super Jumping! Jumping! Jumping!” is very popular in HDU. Maybe you are a good boy, and know little about this game, so I introduce it to you now.
The game can be played by two or more than two players. It consists of a chessboard（棋盘）and some chessmen（棋子）, and all chessmen are marked by a positive integer or “start” or “end”. The player starts from start-point and must jumps into end-point finally. In the course of jumping, the player will visit the chessmen in the path, but everyone must jumps from one chessman to another absolutely bigger (you can assume start-point is a minimum and end-point is a maximum.). And all players cannot go backwards. One jumping can go from a chessman to next, also can go across many chessmen, and even you can straightly get to end-point from start-point. Of course you get zero point in this situation. A player is a winner if and only if he can get a bigger score according to his jumping solution. Note that your score comes from the sum of value on the chessmen in you jumping path.
Your task is to output the maximum value according to the given chessmen list.
Input
Input contains multiple test cases. Each test case is described in a line as follow:
N value_1 value_2 …value_N
It is guarantied that N is not more than 1000 and all value_i are in the range of 32-int.
A test case starting with 0 terminates the input and this test case is not to be processed.
Output
For each case, print the maximum according to rules, and one line one case.
Sample Input
3 1 3 2
4 1 2 3 4
4 3 3 2 1
0
Sample Output
4
10
3
题意：
求最长递增子序列的元素总和。
想法：
n²的DP思想，先求出最长递增元素总和，再在总和里找最大值。和求长度一样的想法。
#include <cstdio>
#include <algorithm>
#include <cstring>
const int MAX=1010;
using namespace std;
int seq[MAX];//代表此时的数
int seqlen[MAX];//代表能够到达这个位置可达到的最大值
int main()
{
int i,j,n;
int sum; //seqlen数组存以第i个数为终点的最长上升序列总和
while(~scanf("%d",&n),n)
{
for(i=1; i<=n; i++)
{
scanf("%d",&seq[i]); //seq数组保存序列数组
seqlen[i]=seq[i];
}
sum=seqlen[1];
for (i=2; i<=n; i++)
{
for (j=1; j<i; j++)
{
if(seq[j]<seq[i])
seqlen[i]=max(seqlen[j]+seq[i],seqlen[i]);
}
sum=max(sum,seqlen[i]);
}
printf("%d\n",sum);
}
return 0;
}