Submission #855499

#TimeUsernameProblemLanguageResultExecution timeMemory
855499vjudge1수열 (APIO14_sequence)C++17
71 / 100
47 ms131072 KiB
#include<bits/stdc++.h>
#pragma GCC target( "sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
using namespace std;
#define int long long
#define y1 cheza
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int N=2e5+100;
const int B=700;
const int M=1e7+10;
const int mod=1e9+7;
const int INF=1e18;
const long double eps=1e-8;
const int dx[]={1,-1,0,0};
const int dy[]={0,0,-1,1};
const int debug=0;
int n,k;
int a[N];
int dp[N][5];
int pr[N][300];
int pref[N];
deque<int>v;
bool left(int x,int y,int z){
    return dp[y][0]-dp[x][0]>=(pref[y]-pref[x])*(pref[n]-pref[z]);
}
bool right(int x,int y,int z){
    return (dp[y][0]-dp[x][0])*(pref[z]-pref[y])<=(dp[z][0]-dp[y][0])*(pref[y]-pref[x]);
}
void shrink(int x){
    while(v.size()>1&&left(v[0],v[1],x)){
        v.pop_front();
    }
}

void add(int x){
    while(v.size()>1&&right(v[v.size()-2],v[v.size()-1],x)){
        v.pop_back();
    }
    v.push_back(x);
}
void test(){
    cin>>n>>k;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        pref[i]=pref[i-1]+a[i];
    }
    for(int kk=1;kk<=k;kk++){
        v.push_back(0);
        for(int i=1;i<=n;i++){
            shrink(i);
            dp[i][1]=dp[v.front()][0]+(pref[i]-pref[v.front()])*(pref[n]-pref[i]);
            pr[i][kk]=v.front();
            add(i);
        }
        v.clear();
        for(int i=1;i<=n;i++){
            dp[i][0]=dp[i][1];
        }
        // for(int i=1;i<=n;i++){
            // cout<<dp[i][0]<<' ';
        // }
        // cout<<'\n';

        // cout<<'\n';
    }
    // A B C
    // k1=AC+BC
    // k1=AB+BC
    // k1=AB+AC
    // k2=AC+BC+AB
    // k2=AB+AC+BC
    // for(int i=1;i<=k;i++){
    //     for(int j=1;j<=n;j++){
    //         cout<<dp[j][i]<<' ';
    //     }
    //     cout<<'\n';
    // }
    // for(int i=1;i<=k;i++){
    //     for(int j=1;j<=n;j++){
    //         cout<<pr[j][i]<<' ';
    //     }
    //     cout<<'\n';
    // }
    // return;
    int mx=-1;
    int cur=-1;
    for(int i=1;i<=n;i++){
        if(mx<dp[i][0]){
            mx=dp[i][0];
            cur=i;
        }
    }
    vector<int>ans;
    ans.push_back(cur);
    for(int i=k;i>=2;i--){
        cur=pr[cur][i];
        ans.push_back(cur);
    }
    cout<<mx<<'\n';
    reverse(ans.begin(),ans.end());
    // sort(ans.begin(),ans.end());
    for(auto i:ans){
        cout<<i<<' ';
    }
    cout<<'\n';
}
/*
int y=dp[j][kk-1]+(pref[i]-pref[j])*(pref[n]-pref[i]);
i ,j
dp[i][kk]=min dp[j][kk-1] + (pref[i]-pref[j])*(pref[n]-pref[i]);
dp[i][kk]=pref[i]*pref[n]-pref[i]*pref[i];
-pref[j]*(pref[n]-pref[i])+dp[j][kk-1];
*/
signed main(){
    // cout<<"HEllo\n";
    // freopen("INPUT.TXT","r",stdin);
    // freopen("OUTPUT.TXT","w",stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    // cout.tie(nullptr);
    long long t2=1;
    //  cin>>t2;
    // scanf("%lld",&t2);
    for(int i=1;i<=t2;i++){
        // cout<<"Case "<<i<<": ";
        test();
    }
    
    return 0;

}
/*
temmie luck

*/
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