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
#pragma GCC optimize("Os")
vector<vector<ll>> dp;
vector<ll> pref;
ll inter2(int &i, int &j, int &k)
{
return ((-pref[j]*pref[j]+dp[j][k])-(-pref[i]*pref[i]+dp[i][k]))/(double)(pref[i]-pref[j]);
}
ll inter(int &i, int &j, int k)
{
return ((-pref[j]*pref[j]+dp[j][k])-(-pref[i]*pref[i]+dp[i][k]));
}
int32_t main()
{
//freopen("../input.txt", "r", stdin);
//freopen("../output.txt", "w", stdout);
int n, k;
cin >> n >> k;
k++;
vector<deque<int>> ch(k+1);
ch[0].push_back(0);
pref.assign(n+1, 0);
dp.assign(n+1, vector<ll>(k+1, 0));
vector<vector<int>> best(n+1, vector<int>(k+1, -1));
for (int i = 1; i <= n; i++)
{
int a;
cin >> a;
pref[i] = pref[i-1];
pref[i]+=a;
for(int j = min(k-1, i-1); j>= 0; j--)
{
while (ch[j].size()>1 && inter2(ch[j][0], ch[j][1], j)<=
pref[i]) ch[j].pop_front();
int h = ch[j].front();
best[i][j+1] = h;
dp[i][j+1] = dp[h][j]-pref[h]*(pref[h]-pref[i]);
while (ch[j+1].size()>1 &&
inter(ch[j+1][ch[j+1].size()-2], ch[j+1].back(), j+1)
*(pref[ch[j+1].back()]-pref[i]) >=
inter(ch[j+1].back(), i, j+1)
*(pref[ch[j+1][ch[j+1].size()-2]]-pref[ch[j+1].back()]))
ch[j+1].pop_back();
ch[j+1].push_back(i);
}
}
int cn = n;
cout << dp[cn][k] << "\n";
for (int i = k; i >= 2; i--)
{
cout << best[cn][i] << " ";
cn = best[cn][i];
}
return 0;
}
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