hud1003 max num

一道动态规划  F(x ) = max (F[x-1] + a[x] ,a[x])

题目:

Max Sum

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 123249    Accepted Submission(s): 28497


Problem Description
Given a sequence a[1],a[2],a[3]......a[n], your job is to calculate the max sum of a sub-sequence. For example, given (6,-1,5,4,-7), the max sum in this sequence is 6 + (-1) + 5 + 4 = 14.
 
Input
The first line of the input contains an integer T(1<=T<=20) which means the number of test cases. Then T lines follow, each line starts with a number N(1<=N<=100000), then N integers followed(all the integers are between -1000 and 1000).
 
Output
For each test case, you should output two lines. The first line is "Case #:", # means the number of the test case. The second line contains three integers, the Max Sum in the sequence, the start position of the sub-sequence, the end position of the sub-sequence. If there are more than one result, output the first one. Output a blank line between two cases.
 
Sample Input
2 5 6 -1 5 4 -7 7 0 6 -1 1 -6 7 -5
 
Sample Output
Case 1: 14 1 4 Case 2: 7 1 6
 
Author
Ignatius.L
 
 
代码:
 
 1 #include <iostream>
 2 using namespace std;
 3 const int maxn = 100000+10;
 4 int arr[maxn];
 5 int sum[maxn];
 6 int main()
 7 {
 8     int tst;
 9     cin>>tst;
10     int cse= 0;
11     while(tst--)
12     {
13         int n;
14         cin>>n;
15         for(int i=0;i<n;i++)
16         {
17             cin>>arr[i];
18         }
19 
20         int s=0,e=0,pos=0;
21         int max = arr[0];
22         int now  = arr[0];
23         for(int i=1;i<n;i++)
24         {
25             if(now+arr[i]<arr[i])
26             {
27                 pos = i;
28                 now = arr[i];
29             }
30             else
31             {
32                     now+=arr[i];
33 
34             }
35             if(now > max)
36             {
37                 s= pos;
38                 e = i;
39 
40                 max = now;
41             }
42         }
43         cout<<"Case "<<++cse<<":"<<endl;
44 
45         cout<<max<<" "<<s+1<<" "<<e+1<<endl;
46         if(tst)
47         cout<<endl;
48 
49     }
50 
51 
52     return 0;
53 }
原文地址:https://www.cnblogs.com/doubleshik/p/3489629.html