HDU1087 / SDNU1330 求上升序列最大和
2016-05-31 19:41
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0)
两个题一个意思,代码的输入输出部分稍有不同,此处用HDU提交的代码。
用的动态规划。①未优化,②优化了,但是时间上差不多,可能优化的不好或者数据不是很大吧。
1)HDU
①:
②
2)
SDNU:
令sum=ab1+ab2+…+abm,并且满足:ab1<ab2<…<abm;b1<b2<…<bm;1<=m<=n。
求最大的sum。
n<=1000,0<ai<=109
第二行,n个用空格隔开的正整数序列。
HDU:
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
Sample Output
两个题一个意思,代码的输入输出部分稍有不同,此处用HDU提交的代码。
用的动态规划。①未优化,②优化了,但是时间上差不多,可能优化的不好或者数据不是很大吧。
1)HDU
①:
#include <iostream> #include <stdio.h> #include <string.h> using namespace std; int a[1010];//value long long int sum[1001]; int main() { int n; while(~scanf("%d",&n)&&n!=0) { a[0]=0; sum[0]=0; for(int i=1; i<=n; i++) { scanf("%d",&a[i]); sum[i]=a[i]; } for(int i=1; i<=n; i++) { long long int temp=sum[i]; for(int j=i-1; j>=0; j--) { if(a[j]<a[i]) { if((sum[j]+a[i])>temp) temp=sum[j]+a[i]; } } sum[i]=temp; } long long int maxx=0; for(int i=1; i<=n; i++) { maxx=max(maxx,sum[i]); } cout<<maxx<<endl; } return 0; }
②
#include <iostream> #include <stdio.h> #include <string.h> using namespace std; int a[1010];//value long long int sum[1001]; int main() { int n; while(~scanf("%d",&n)&&n!=0) { a[0]=0; sum[0]=0; for(int i=1; i<=n; i++) { scanf("%d",&a[i]); sum[i]=a[i]; } for(int i=1; i<=n; i++) { long long int temp=sum[i]; for(int j=i-1; j>=0; j--) { if(a[j]<a[i]) { if((sum[j]+a[i])>temp) temp=sum[j]+a[i]; } } sum[i]=temp; } long long int maxx=0; for(int i=1; i<=n; i++) { maxx=max(maxx,sum[i]); } cout<<maxx<<endl; } return 0; }
2)
SDNU:
Description
给定长度为n的正整数序列a1,a2,…,an。令sum=ab1+ab2+…+abm,并且满足:ab1<ab2<…<abm;b1<b2<…<bm;1<=m<=n。
求最大的sum。
n<=1000,0<ai<=109
Input
第一行,n,表示给定序列的个数。第二行,n个用空格隔开的正整数序列。
Output
最大的sum。Sample Input
62 4 1 20 5 6
Sample Output
26
HDU:
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
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