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  • [ACM_动态规划] hdu1003 Max Sum [最大连续子串和]

    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
     
    ???->>>>设某序列[x,j]的和大于等于0,则后面再来一个数肯定要接在上面;如果其小于0则后面来的数不要接在其后面,要把这个序列的开头设为当前输入的位置。
     
     1 #include <iostream>
     2 using namespace std;
     3 
     4 int main(){
     5     int t,n,temp,pos1,pos2,max,now,x,i,j;
     6     cin>>t;
     7     for (i=1;i<=t;i++){
     8         cin>>n>>temp;//输入n和第一个数
     9         now=max=temp;//令now和max都等于第一个数
    10         pos1=pos2=x=1;//令初始位置为1
    11         for(j=2;j<=n;j++){//循环输入2-n个
    12             cin>>temp;
    13             if (now+temp<temp)//如果now为负就从新的位置开始
    14                 now=temp,x=j;//x保存当前开头位置
    15             else//否则就在now后加上输入数据
    16                 now+=temp;
    17             if(now>max)//如果now>max就更新max
    18                 max=now,pos1=x,pos2=j;
    19         }
    20         cout<<"Case "<<i<<":"<<endl<<max<<" "<<pos1<<" "<<pos2<<endl;
    21         if (i!=t)cout<<endl;
    22     }
    23     return 0;
    24 }
     
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  • 原文地址:https://www.cnblogs.com/zjutlitao/p/3674088.html
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