제출 #1200218

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1200218		Muhammad_Aneeq	수열 (APIO14_sequence)	C++20	100 / 100	1054 ms	84324 KiB

sequence

#include <iostream>
#include <vector>
#include <map>
#include <algorithm>
using namespace std;
vector<pair<long long,long long>>hull={};
vector<int>ind;
inline bool com(pair<long long,long long> a,pair<long long,long long> b)
{
    if (a.first/a.second!=b.first/b.second)
        return a.first/a.second < b.first/b.second;
    a.first%=a.second;
    b.first%=b.second;
    return (a.first*b.second<b.first*a.second);
}
inline bool cw(pair<long long,long long> a,pair<long long,long long> b,pair<long long,long long> c)
{
    return com({b.first-a.first,a.second-b.second},{c.first-b.first,b.second-c.second});
}
inline void insert(pair<long long,long long> x,int in)
{
    while (hull.size()&&hull.back()==x)
    {
        hull.pop_back();
        ind.pop_back();
    }
    while (hull.size()>1&&!cw(hull[hull.size()-2],hull.back(),x))
    {
        hull.pop_back();
        ind.pop_back();
    }
    hull.push_back(x);
    ind.push_back(in);
}
inline long long vl(pair<long long,long long> a,long long x)
{
    return x*a.second+a.first;
}
pair<long long,int> query(long long x)
{
    long long ans=vl(hull[0],x);
    int in=ind[0];
    int st=1,en=hull.size()-1;
    while (st<=en)
    {
        int mid=(st+en)/2;
        long long ans1=vl(hull[mid-1],x),ans2=vl(hull[mid],x);
        if (ans1>ans2)
        {
            if (ans1>ans)
                in=ind[mid-1];
            ans=max(ans,ans1);
            en=mid-1;
        }
        else
        {
            if (ans2>ans)
                in=ind[mid];
            ans=max(ans,ans2);
            st=mid+1;
        }
    }
    return {ans,in};
}
inline void solve()
{
    int n,k;
    cin>>n>>k;
    int a[n+1]={};
    long long p[n+1]={};
    for (int i=1;i<=n;i++)
    {
        cin>>a[i];
        p[i]=p[i-1]+a[i];
    }
    long long dp1[n+1]={};
    for (int i=1;i<=n;i++)
        dp1[i]=p[i]*(p[n]-p[i]);
    long long dp[n+1]={};
    int pre[k+1][n+1]={};
    for (int l=2;l<=k;l++)
    {
        hull={};
        ind={};
        insert({dp1[l-1]-p[n]*p[l-1],p[l-1]},l-1);
        for (int i=l;i<=n;i++)
        {
            pair<long long,long long> y=query(p[i]);
            pre[l][i]=y.second;
            dp[i]=y.first+(p[n]-p[i])*p[i];
            insert({dp1[i]-p[n]*p[i],p[i]},i);
            dp1[i]=dp[i];
            dp[i]=0;
        }
    }
    long long ans=-1;
    int ind=1;
    for (int i=1;i<=n;i++)
    {
        if (dp1[i]>ans)
        {
            ans=dp1[i];
            ind=i;
        }
    }
    int ans1[k]={};
    for (int l=k;l>=1;l--)
    {
        ans1[l-1]=ind;
        ind=pre[l][ind];
    }
    cout<<ans<<endl;
    for (auto i:ans1)
        cout<<i<<' ';
    cout<<endl;
}
int main()
{
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    int t=1;
    for (int i=1;i<=t;i++)
    {
        solve();
    }
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 29 / 29