hdu3415 Max Sum of Max-K-sub-sequence

Max Sum of Max-K-sub-sequence

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

Total Submission(s): 3193 Accepted Submission(s): 1136



Problem Description

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

Author

shǎ崽@HDU



Source

HDOJ Monthly Contest – 2010.06.05



Recommend

lcy

单调队列。

设sum[i]为从头到第i个数的和，然后就是维护距离为k的最小sum值，答案就是sum[i]-sum[min]，可以用双端队列的stl做，不过不会太简化代码量。

#include <stdio.h>

#define INF 999999999

typedef struct
{
    int val,num,now;
}Queue;

int a[200005];
int sum[200005];
Queue q[200005];

int main()
{
    int front,tail,k,i,j,n,T;
    Queue ans;
    scanf("%d",&T);
    while(T--)
    {
        scanf("%d%d",&n,&k);
        for (i=1;i<=n;i++)
        {
            scanf("%d",&a[i]);
        }
        for (i=n+1;i<=2*n;i++)
        {
            a[i]=a[i-n];
        }
        n=2*n;
        sum[0]=0;
        for (i=1;i<=n;i++)
        {
            sum[i]=sum[i-1]+a[i];
        }
        front=tail=1;
        ans.val=-INF;
        for (i=1;i<=n;i++)
        {
            while(tail>front && sum[i-1]<q[tail-1].val) tail--;
            q[tail].val=sum[i-1];
            q[tail].num=i-1;
            tail++;
            if (i-q[front].num>k) front++;
            if (sum[i]-q[front].val>ans.val)
            {
                ans.val=sum[i]-q[front].val;
                ans.num=q[front].num+1;
                ans.now=i;
            }
        }
        printf("%d %d %d\n",ans.val,ans.num,ans.now-n/2>0?ans.now-n/2:ans.now);
    }
    return 0;
}