# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
1223060 | Szymon_Pilipczuk | 수열 (APIO14_sequence) | C++20 | 0 ms | 0 KiB |
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define int long long
#define st first
#define nd second
#define pb push_back
#define all(a) a.begin(),a.end()
#define rep(a,b) for(int a = 0;a<b;a++)
const int inf = 1e9;
const ll infl = 1e18;
int n,k;
ll sq(ll a)
{
return a*a;
}
deque<vector<ll>> dq;
void add(ll a,ll b,int i)
{
if(dq.size() == 0)
{
dq.push_back({0,infl,a,b,i});
return;
}
vector<ll> c = dq.back();
if(c[2] == a)
{
if(c[3] > b)
{
dq.pop_back();
add(a,b,i);
}
}
else
{
ll cu = (b-c[3])/(c[2]-a) + 1;
if(cu <= c[0])
{
dq.pop_back();
add(a,b,i);
}
else
{
dq.back()[1] = cu-1;
dq.pb({cu,infl,a,b,i});
}
}
}
pair<ll,int> check(ll c)
{
while(dq.front()[1] < c)
{
dq.pop_front();
}
return {c * dq.front()[2] + dq.front()[3],dq.front()[4]};
}
ll pref[100000];
int p[200][99999];
int32_t main()
{
cin>>n>>k;
int cu;
cin>>cu;
pref[0] = cu;
rep(i,n-1)
{
int c;
cin>>c;
pref[i+1] = pref[i]+c;
}
vector<vector<ll>> nx;
vector<vector<ll>> nxnx;
rep(q,k)
{
nx = nxnx;
nxnx.clear();
dq.clear();
add(0,inf,-1);
if(q == 0)
{
add(0,0,-1);
}
rep(i,n-1)
{
p[q][i] = check(pref[i]).nd;
nxnx.pb({-2 * pref[i],check(pref[i]).st + sq(pref[i])*2,i});
if(q != 0) add(nx[i][0],nx[i][1],nx[i][2]);
}
}
dq.clear();
rep(i,n-1)
{
add(nxnx[i][0],nxnx[i][1],nxnx[i][2]);
}
int ci = check(pref[n-1]).nd;
int cu = k-1;
vector<int> ord;
while(ci != -1)
{
ord.pb(ci);
ci = p[cu][ci];
cu--;
}
reverse(all(ord));
cout<<(check(pref[n-1]).st)/2<<"\n";
rep(i,k)
{
cout<<ord[i]+1<<" ";
}
cout<<"\n";
}