This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define fs first
#define sc second
#define pb push_back
void solve() {
int n,k;
cin>>n>>k;
k++;
ll a[n+1],pre[n+1];
pre[0]=0;
for(int i=1;i<=n;i++){
cin>>a[i];
pre[i]=pre[i-1]+a[i];
}
ll dp[n+1][k+1],prev[n+1][k+1];
memset(dp,0,sizeof(dp));
for(int i=0;i<=n;i++){
for(int j=i+1;j<=k;j++)dp[i][j]=-1e18;
if(i)dp[i][0]=-1e18;
}
for(int i=1;i<=n;i++){
for(int j=1;j<=k;j++){
int y=lower_bound(pre+1,pre+n+1,pre[i]-pre[i]/j)-pre;
for(int x=0-2;x<3;x++){
int p=max(1,min(y+x,i));
dp[i][j]=max(dp[i][j],pre[p-1]*(pre[i]-pre[p-1])+dp[p-1][j-1]);
if(dp[i][j]==pre[p-1]*(pre[i]-pre[p-1])+dp[p-1][j-1])prev[i][j]=p-1;
}
}
}
cout<<dp[n][k]<<'\n';
vector<int> ans;
int c=n,x=k;
while(c){
ans.pb(c);
c=prev[c][x];
x--;
}
reverse(ans.begin(),ans.end());
ans.pop_back();
for(int i:ans)cout<<i<<' ';
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
solve();
}
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