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  • 杭电1003 Max Sum

    Max Sum
    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 49213    Accepted Submission(s): 10950


    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

    MyCode·超时
     1 #include<iostream>
     2 #include<vector>
     3 using namespace std;
     4 
     5 #define P(x) \
     6 cout << #x " " << x << ":" << endl;
     7 
     8 #define PE(max, beg, end) \
     9 cout << max << " " << beg+1 << " " << end+1 << endl;
    10 
    11 int max_sum(int &beg, int &end, vector<int> ivec)
    12 {
    13     while(ivec[beg] < 0 && beg < ivec.size())
    14     {
    15         //忽略首相的负数
    16         beg++;
    17     }
    18     int max =  0, now = 0;
    19     for(int i = beg; i < ivec.size(); ++i)
    20     {
    21         now += ivec[i];
    22         if(max < now)
    23         {
    24             max =  now;
    25             end = i;
    26         }
    27     }
    28     return max;
    29 }
    30 int main()
    31 {
    32     int T, Case = 1;
    33     cin >> T;
    34     while(T--)
    35     {
    36         vector<int> ivec;
    37         int n, x;
    38         cin >> n;
    39         while(n--)
    40         {
    41             cin >> x;
    42             ivec.push_back(x);
    43         }
    44         int beg = 0, end = 0, now_beg = 0, now_end = 0, now = -1000, max = -1000;
    45         for(; now_beg < ivec.size(); ++now_beg)
    46         {
    47             now = max_sum(now_beg, now_end, ivec);
    48             if(max < now)
    49             {
    50                 max = now;
    51                 beg = now_beg;
    52                 end = now_end;
    53             }
    54         }
    55         P(Case);
    56         Case++;
    57         PE(max, beg, end);
    58         if(T)
    59             cout << endl;
    60     }
    61     return 0;
    62 }
    网上搜索的参考
     1 #include <iostream>
     2 using namespace std;
     3 int main()
     4 {
     5     int T,N,num,startP,endP;
     6     cin>>T;
     7     for(int k=0;k<T;k++)
     8     {
     9         cin>>N;
    10         int max=-1001,sum=0,temp=1;
    11         for(int i=0;i<N;i++)
    12         {
    13             cin>>num;
    14             sum+=num;
    15             if(sum>max)
    16             {
    17                 max=sum;
    18                 startP=temp;
    19                 endP=i+1;
    20             }
    21             if(sum<0)
    22             {
    23                 sum=0;
    24                 temp=i+2;
    25             }
    26         }
    27         cout<<"Case "<<k+1<<":"<<endl<<max<<" "<<startP<<" "<<endP<<endl;
    28         if(k!=T-1) cout<<endl;
    29     }
    30     return 0;
    31 }
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  • 原文地址:https://www.cnblogs.com/sanghai/p/2923027.html
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