Submission #837397

# Submission time Handle Problem Language Result Execution time Memory
837397 2023-08-25T10:18:07 Z Warinchai Split the sequence (APIO14_sequence) C++14
89 / 100
620 ms 85316 KB
#include<bits/stdc++.h>
using namespace std;
int ar[100005];
struct line{
    long long m,c;
    int num;
    line(long long mm=0,long long cc=0,long long i=0){
        m=mm;
        c=cc;
        num=i;
    }
    long long pnt(long long x){
        return m*x+c;
    }
};
bool better(line a,line b,line c){
    return (c.c-a.c)*(a.m-b.m)<=(b.c-a.c)*(a.m-c.m);
}
struct hull{
    deque<line>dq;
    void add(line x){
        while(dq.size()>1&&better(dq[dq.size()-2],dq.back(),x)){
            dq.pop_back();
        }
        dq.push_back(x);
    }
    pair<long long,int> fbest(long long x,int mxl){
        while(dq.size()>1&&dq.front().num<mxl&&(dq.front().pnt(x)<=dq[1].pnt(x))){
            dq.pop_front();
        }
        if(dq.empty()){
            return {0,0};
        }
        return {dq.front().pnt(x),dq.front().num};
    }
}hl;
long long sum[100005];
int path[205][100005];
line info[2][100005];
vector<int>v;
int main(){
    int n,k;
    cin>>n>>k;
    long long sm=0;
    for(int i=1;i<=n;i++){
        cin>>ar[i];
        sm+=ar[i];
        sum[i]=sm;
    }
    long long ans=0;
    long long lnum=0;
    //cerr<<"work"<<endl;
    for(int i=1;i<=k;i++){
        hl.dq.clear();
        for(int j=i;j<n;j++){
            //cerr<<"i:j "<<i<<" "<<j<<endl;
            if(i!=1){
                hl.add(info[i%2][j-1]);
            }
            pair<long long,int>p=hl.fbest(sum[j],j);
            //cerr<<"after fbest"<<endl;
            long long x=p.first;
            //cerr<<"x:"<<x<<endl;
            int pn=p.second;
            long long tans=x+sm*sum[j]-sum[j]*sum[j];
            //cerr<<"ans:"<<tans<<endl;
            long long nm=sum[j];
            long long nc=tans-sm*sum[j];
            info[(i+1)%2][j]=(line(nm,nc,j));
            //cerr<<"after add"<<endl;
            path[i][j]=pn;
            if(i==k){
                if(tans>ans){
                    ans=tans;
                    lnum=j;
                }
            }
        }
    }
    //cerr<<"out"<<endl;
    cout<<ans<<"\n";
    v.push_back(lnum);
    for(int i=k;i>=2;i--){
        lnum=path[i][lnum];
        v.push_back(lnum);
    }
    for(int i=v.size()-1;i>=0;i--){
        cout<<v[i]<<" ";
    }

}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 4948 KB contestant found the optimal answer: 999 == 999
3 Incorrect 2 ms 4948 KB Integer 0 violates the range [1, 1]
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 4948 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 5204 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 4948 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 4948 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 4948 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 5076 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 4948 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 4948 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 5076 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 3 ms 4948 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 5972 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 4948 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 5716 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 5844 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 5972 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 3 ms 5204 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 3 ms 5076 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 5204 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 4948 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 6612 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 4948 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 6612 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 6356 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 6616 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 6612 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 5332 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 5716 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5332 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 5460 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 49 ms 13912 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 5332 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 39 ms 10452 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 42 ms 11208 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 45 ms 11644 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 34 ms 10444 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 40 ms 11216 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 50 ms 13008 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 20 ms 8376 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 20 ms 8216 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 462 ms 85316 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 32 ms 8268 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 620 ms 85268 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 422 ms 61808 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 442 ms 65752 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 361 ms 54856 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 387 ms 61844 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 486 ms 77468 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845