Submission #1027205

# Submission time Handle Problem Language Result Execution time Memory
1027205 2024-07-19T02:01:46 Z Luvidi Split the sequence (APIO14_sequence) C++17
71 / 100
58 ms 131072 KB
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define fs first
#define sc second
#define pb push_back
    
ll dp[100001][202],bt[100001][202],a[100001],pre[100001];
int c;

void dnc(int l,int r,int opl,int opr){
    if(l>r)return;
    int m=(l+r)/2;
    pll best={-1e18,0};
    for(int i=opl;i<=opr&&i<m;i++){
        best=max(best,{dp[i][c-1]+pre[i]*(pre[m]-pre[i]),i});
    }
    dp[m][c]=best.fs;
    bt[m][c]=best.sc;
    dnc(l,m-1,opl,best.sc);
    dnc(m+1,r,best.sc,opr);
}
 
void solve() {
    int n,k;
    cin>>n>>k;
    k++;
    pre[0]=0;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        pre[i]=pre[i-1]+a[i];
    }
    for(int i=0;i<=n;i++){
        for(int j=i+1;j<=k;j++)dp[i][j]=-1e18;
        if(i)dp[i][0]=-1e18;
    }
    for(c=1;c<=k;c++){
        dnc(1,n,0,n);
    }
    cout<<dp[n][k]<<'\n';
    int x=n;
    vector<int> v;
    for(int i=k;i>1;i--){
        x=bt[x][i];
        v.pb(x); 
    }
    reverse(v.begin(),v.end());
    for(int i:v)cout<<i<<' ';
}
 
int main() {   
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
    solve();
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 4444 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 4444 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 4444 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 4444 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 4444 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 4444 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 4444 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 4444 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 4560 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 4444 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 4444 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 4440 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 4444 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 4444 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 4444 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 4444 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 4440 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 4444 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 4444 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 4444 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 4444 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 4444 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 4444 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 4444 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 4560 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 4560 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 4444 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 4444 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 4444 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 4444 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 4444 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 4444 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 8540 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 8656 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 4 ms 8540 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 8540 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 5 ms 8680 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 8540 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 5 ms 8540 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 8540 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 8540 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 8684 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 37468 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 37468 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 49 ms 37468 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 37468 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 52 ms 37468 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 49 ms 37468 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 46 ms 37500 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 38 ms 37512 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 45 ms 37212 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 58 ms 37400 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Runtime error 26 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -