#include<cstdio>
#include<iostream>
using namespace std;
#define inf (1<<30)
const int maxn=200100;
int p[maxn];
int sum[maxn],x[maxn];
int main()
{
int i,j,t,k;
int n,m;
int head,tail;
int ans;
int tL1,tL2;
int L,R;
cin>>t;
while(t--)
{
scanf("%d%d",&n,&k);
sum[0]=0;
for(i=1;i<=n;i++)
{
scanf("%d",&x[i]);
sum[i]=sum[i-1]+x[i];
}
for(i=n+1;i<=n+k-1;i++)
{
sum[i]=sum[i-1]+x[i-n];
}
head=0;
tail=-1;
ans=-inf;
for(i=1;i<=n+k-1;i++)
{
while(head<=tail&&sum[p[tail]]>sum[i-1])
tail--;
p[++tail]=i-1;
if(i-p[head]>k)head++;
if(sum[i]-sum[p[head]]>ans)
{
ans=sum[i]-sum[p[head]];
L=p[head]+1;
R=i;
}
}
if(R>n)R-=n;
printf("%d %d %d\n",ans,L,R);
}
}
/*
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
*/