Submission #960905

# Submission time Handle Problem Language Result Execution time Memory
960905 2024-04-11T08:03:58 Z vjudge1 Split the sequence (APIO14_sequence) C++17
100 / 100
761 ms 82128 KB
#include<bits/stdc++.h>
using namespace std;
#define ll long long
int lead[100100][200],zero[100100];
ll pre[100100],val[100100];
struct Ln{
    ll k,b,ii;
    Ln(){k=b=0;}
    Ln(ll a,ll x,ll i){k=a,b=x,ii=i;}
    ll inter(Ln x){
        return (b-x.b)/(x.k-k);
    }
    ll val(int x){
        return k*x+b;
    }
};
deque<Ln>ch;
int main(){
    cin.tie(0)->sync_with_stdio(0);
    int n,k;
    cin>>n>>k;
    set<int>st;
    for(int i=1;i<=n;i++){
        cin>>pre[i];
        if(!pre[i])
            st.insert(i+zero[i-1]+zero[i]),
            n--,zero[i--]++;
        else
            pre[i]+=pre[i-1],
            zero[i]+=zero[i-1];
    }
    if(k>=n-1){
        ll v=0;
        int x=k-n+1;
        while(st.size()>x)
            st.erase(st.begin());
        for(int i=2;i<=n;i++)
            v+=(pre[i]-pre[i-1])*pre[i-1];
        cout<<v<<'\n';
        for(int i=1;i<n;i++)
            st.insert(i+zero[i]);
        for(auto i:st)
            cout<<i<<' ';
        return 0;
    }
    for(int i=1;i<=k;i++){
        ch.push_back(Ln(pre[i],val[i]-pre[i]*pre[i],i));
        for(int j=i+1;j<=n;j++){
            while(ch.size()>1&&ch[0].inter(ch[1])<pre[j])
                ch.pop_front();
            ll V=ch[0].val(pre[j]);
            lead[j][i]=ch[0].ii;
            Ln L(pre[j],val[j]-pre[j]*pre[j],j);
            while(ch.size()>1&&L.inter(ch[ch.size()-2])<ch.back().inter(ch[ch.size()-2]))
                ch.pop_back();
            ch.push_back(L),val[j]=V;
        }
        ch.clear();
    }
    cout<<val[n]<<'\n';
    stack<int>stk;
    int cnt=k+1;
    while(--cnt)
        stk.push(n=lead[n][cnt]);
    while(stk.size())
        cout<<stk.top()+zero[stk.top()]<<' ',stk.pop();
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:35:24: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   35 |         while(st.size()>x)
      |               ~~~~~~~~~^~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 2396 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 2392 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 2396 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 2392 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 2396 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 2396 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 2396 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 2396 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 2396 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 2396 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 2396 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 2396 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 2396 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 2396 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 2396 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 2548 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 2392 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 2396 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 2396 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 2396 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 2396 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 2396 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 2396 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 2392 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 2396 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 2396 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 2396 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 2392 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 2396 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 2396 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 2396 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 4444 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 4444 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 4444 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 4444 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 4444 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 8 ms 4444 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 5 ms 4440 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 4444 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 4444 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 8796 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 8796 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 73 ms 10840 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 10844 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 36 ms 8796 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 43 ms 8796 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 66 ms 10844 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 45 ms 10840 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 52 ms 10844 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 67 ms 10968 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 40 ms 68188 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 23 ms 68136 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 761 ms 81748 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 26 ms 82004 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 618 ms 68412 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 472 ms 68188 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 700 ms 82096 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 504 ms 82128 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 519 ms 76184 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 675 ms 76264 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845