Submission #989722

# Submission time Handle Problem Language Result Execution time Memory
989722 2024-05-28T16:14:24 Z kustizus Split the sequence (APIO14_sequence) C++17
100 / 100
812 ms 84304 KB
#include <bits/stdc++.h>
using namespace std;
const long long N=1e5;
long long n,k,idx=1,a[N+5],pre[N+5];
int bef1[N+5][205];
vector <long long> bef(N+5),dp(N+5);
long long Cal(int i, int j){
    return (pre[j]-pre[i-1])*(pre[n]-pre[j]);
}
void dnc(int l, int r, int optl, int optr){
    if (l>r) return;
    int md=l+r>>1;
    long long ans=-1e18,pos=0;
    for (int i=min(optr,md);i>=optl;--i){
        long long d=bef[i-1]+Cal(i,md);
        if (d>ans){
            ans=d;
            pos=i;
        }
    }
    dp[md]=ans;
    bef1[md][idx]=pos;
    dnc(l,md-1,optl,pos);
    dnc(md+1,r,pos,optr);
}
void Solve(){
    cin>>n>>k;
    for (int i=1;i<=n;++i){
        cin>>a[i];
        pre[i]=pre[i-1]+a[i];
    }
    for (int i=1;i<=n;++i) bef[i]=Cal(1,i);
    for (int i=2;i<=k;++i){
        ++idx;
        dnc(i,n,i,n);
        for (int j=1;j<=n;++j){
            bef[j]=dp[j];
            dp[j]=0;
        }
    }
    long long ans=-1e18,pos;
    for (int i=1;i<=n;++i)
        if (bef[i]>ans){
            ans=bef[i];
            pos=i;
        }
    cout<<ans<<"\n";
    for (int i=k;i>=1;--i){
        cout<<pos<<' ';
        pos=bef1[pos][i]-1;
    }
}
signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    // freopen ("FILE.INP","r",stdin);
    // freopen ("FILE.OUT","w",stdout);
    int t=1;
    // cin>>t;
    while (t--) Solve();
}

Compilation message

sequence.cpp: In function 'void dnc(int, int, int, int)':
sequence.cpp:12:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   12 |     int md=l+r>>1;
      |            ~^~
sequence.cpp: In function 'void Solve()':
sequence.cpp:50:24: warning: 'pos' may be used uninitialized in this function [-Wmaybe-uninitialized]
   50 |         pos=bef1[pos][i]-1;
      |             ~~~~~~~~~~~^
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 1884 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 1884 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 1884 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 1884 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 1884 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 1884 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 1884 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 1884 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 1884 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 1884 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 1884 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 1884 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 1884 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 1880 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 1884 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 1884 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 1884 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 1884 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 1884 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 1884 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 1884 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 1884 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 1884 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 1884 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 1884 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2140 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 2140 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 2140 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 2140 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 2140 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 2140 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 2140 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 2140 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 2196 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 2140 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 2652 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 2652 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 2648 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 2652 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 2652 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2872 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 2652 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 2648 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 2652 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 10076 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 10076 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 39 ms 10076 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 10076 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 45 ms 10208 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 41 ms 10072 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 39 ms 10072 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 27 ms 10204 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 39 ms 10076 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 47 ms 10076 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 42 ms 83796 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 41 ms 83792 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 433 ms 84052 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 37 ms 83960 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 812 ms 84144 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 498 ms 83652 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 475 ms 84304 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 312 ms 84052 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 433 ms 84152 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 535 ms 84052 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845