杭电ACM1003
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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
算法分析:求最大字段和,d[i]表示已i 结尾(字段和中包含 i )在 a[1..i] 上的最大和,d[i]=(d[i-1]+a[i]>a[i])?d[i-1]+a[i]:a[i];
max = {d[i],1<=i<=n} ;
#include<iostream>
#define N 100010
using namespace std;
int a[N],d[N];
int main()
{
int test,n,i,max,k,f,e;
cin>>test;
k=1;
while(test--)
{
cin>>n;
for(i=1;i<=n;i++)
cin>>a[i];
d[1]=a[1];
for(i=2;i<=n;i++)
{
if(d[i-1]<0) d[i]=a[i];
else d[i]=d[i-1]+a[i];
}
max=d[1];e=1;
for(i=2;i<=n;i++)
{
if(max<d[i])
{
max=d[i];e=i;
}
}
int t=0;
f=e;
for(i=e;i>0;i--)
{
t=t+a[i];
if(t==max) f=i;
}
cout<<"Case "<<k++<<":"<<endl<<max<<" "<<f<<" "<<e<<endl;
if(test) cout<<endl;
}
return 0;
}
#define N 100010
using namespace std;
int a[N],d[N];
int main()
{
int test,n,i,max,k,f,e;
cin>>test;
k=1;
while(test--)
{
cin>>n;
for(i=1;i<=n;i++)
cin>>a[i];
d[1]=a[1];
for(i=2;i<=n;i++)
{
if(d[i-1]<0) d[i]=a[i];
else d[i]=d[i-1]+a[i];
}
max=d[1];e=1;
for(i=2;i<=n;i++)
{
if(max<d[i])
{
max=d[i];e=i;
}
}
int t=0;
f=e;
for(i=e;i>0;i--)
{
t=t+a[i];
if(t==max) f=i;
}
cout<<"Case "<<k++<<":"<<endl<<max<<" "<<f<<" "<<e<<endl;
if(test) cout<<endl;
}
return 0;
}
只处理最大和不处理位置
#include<cstdio>
int main()
{
int n,test,ans,t,a,i;
scanf("%d",&test);
while(test--)
{
scanf("%d",&n);
scanf("%d",&a);
ans=t=a;
for(i=1;i<n;i++)
{
scanf("%d",&a);
if(t<0) t=a;
else t=t+a;
if(ans<t) ans=t;
}
printf("%d\n",ans);
}
return 0;
}
int main()
{
int n,test,ans,t,a,i;
scanf("%d",&test);
while(test--)
{
scanf("%d",&n);
scanf("%d",&a);
ans=t=a;
for(i=1;i<n;i++)
{
scanf("%d",&a);
if(t<0) t=a;
else t=t+a;
if(ans<t) ans=t;
}
printf("%d\n",ans);
}
return 0;
}
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