Max Sum of Max-K-sub-sequence

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 4913    Accepted Submission(s): 1791

Problem Description

Given a circle sequence A[1],A[2],A[3]......A[n]. Circle sequence means the left neighbour of A[1] is A[n] , and the right neighbour of A[n] is A[1].

Now your job is to calculate the max sum of a Max-K-sub-sequence. Max-K-sub-sequence means a continuous non-empty sub-sequence which length not exceed K.

 

 

Input

The first line of the input contains an integer T(1<=T<=100) which means the number of test cases.

Then T lines follow, each line starts with two integers N , K(1<=N<=100000 , 1<=K<=N), then N integers followed(all the integers are between -1000 and 1000).

 

 

Output

For each test case, you should output a 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 minimum start position, if still more than one , output the minimum length of them.

 

 

Sample Input

4 6 3 6 -1 2 -6 5 -5 6 4 6 -1 2 -6 5 -5 6 3 -1 2 -6 5 -5 6 6 6 -1 -1 -1 -1 -1 -1

 

 

Sample Output

7 1 3 7 1 3 7 6 2 -1 1 1

#include <iostream>

#include <cstdio>

#include <cstring>

using namespace std;

int a[222222],sum[222222]={

0},que[222222];

int main (void)

{

    int t,n,m,s,i,j,k,l,max,aa,ss,qian,hou;

    scanf("%d",&t);

    while(t--&&scanf("%d%d",&n,&m))

    {

        for(i=1;i<=n;i++)

            scanf("%d",&a[i]),a[n+i]=a[i];

        for(i=1,sum[0]=0;i<=n+m;i++)

            sum[i]=sum[i-1]+a[i];  //把总和记录下来

        max=-1000000,aa=ss=qian=hou=0;

        for(i=1;i<n+m;i++)

        {

            while(qian<hou&&sum[i-1]<sum[que[hou-1]])hou--;  //保持单调

            que[hou++]=i-1;

            while(qian<hou&&i-que[qian]>m)qian++;  //保持长度

            if(sum[i]-sum[que[qian]]>max)

            {

                max=sum[i]-sum[que[qian]];

                aa=que[qian]+1;ss=i;

            }

        }

        if(aa>n)aa-=n;

        if(ss>n)ss-=n;

        printf("%d %d %d\n",max,aa,ss);

    }

    return 0;

}