Submission #762560

# Submission time Handle Problem Language Result Execution time Memory
762560 2023-06-21T13:47:07 Z Ahmed57 Split the sequence (APIO14_sequence) C++17
100 / 100
1334 ms 84172 KB
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
deque<pair<pair<long long,long long>,long long>> v1;
double in(long double m1,long double c1,long double m2,long double c2){
    if(m1==m2)return (c1>=c2);
    return (c2-c1)/(m1-m2);
}
void insert_line(long long m,long long c,long long idx){
    while(v1.size()>1&&in(v1[v1.size()-2].first.first,v1[v1.size()-2].first.second,v1[v1.size()-1].first.first,v1[v1.size()-1].first.second)>=in(v1[v1.size()-2].first.first,v1[v1.size()-2].first.second,m,c)){
        v1.pop_back();
    }
    v1.push_back({{m,c},idx});
}
pair<long long,long long> eval(long long x){
    while(v1.size()>1&&in(v1[0].first.first,v1[0].first.second,v1[1].first.first,v1[1].first.second)<x)v1.pop_front();
    return {v1[0].first.first*x+v1[0].first.second,v1[0].second};
}
long long dp[100001][2];
int lol[100001][204];
signed main(){
    ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
    long long n,k;
    cin>>n>>k;
    long long arr[n+1] = {0};
    for(int i = 1;i<=n;i++){
        cin>>arr[i];
        arr[i]+=arr[i-1];
    }
    if(n==1){
        cout<<0<<endl;
        return 0;
    }
    for(long long j = 1;j<=k+1;j++){
        v1.clear();
        insert_line(arr[j-1],(dp[j-1][!(j&1)]-arr[j-1]*arr[n]),j-1);
        for(int i = j;i<=n;i++){
            dp[i][j&1] = arr[i]*arr[n]-arr[i]*arr[i]+eval(arr[i]).first;
            lol[i][j] = eval(arr[i]).second;
            insert_line(arr[i],(dp[i][!(j&1)]-arr[i]*arr[n]),i);
        }
    }
    k++;
    cout<<dp[n][k&1]<<endl;
    int x = n;
    vector<long long> ha;
    while(k>1){
        ha.push_back(max(1,lol[x][k]));
        x = lol[x][k];k--;
    }
    for(int i = ha.size()-1;i>=0;i--){
        cout<<ha[i]<<" ";
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 340 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 212 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 340 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 212 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 212 KB contestant found the optimal answer: 1 == 1
7 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 340 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 340 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 340 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 212 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 340 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 340 KB contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 212 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 212 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 212 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 340 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 340 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 340 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 340 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 340 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 340 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 340 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 340 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 340 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 340 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 468 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 468 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 468 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 468 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 468 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 396 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 468 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 468 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 468 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1108 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1108 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 1108 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1108 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 11 ms 1172 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 9 ms 1108 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1108 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1168 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1108 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 1120 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 8532 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 8660 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 96 ms 8660 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 8660 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 79 ms 8660 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 90 ms 8628 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 98 ms 8660 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 66 ms 8660 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 83 ms 8660 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 100 ms 8660 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 55 ms 83448 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 53 ms 83600 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1026 ms 83664 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 52 ms 84172 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1334 ms 83896 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 920 ms 83700 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 955 ms 84172 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 714 ms 84048 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 778 ms 83884 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 981 ms 83932 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845