Submission #968926

# Submission time Handle Problem Language Result Execution time Memory
968926 2024-04-24T09:46:31 Z noyancanturk Split the sequence (APIO14_sequence) C++17
71 / 100
75 ms 131072 KB
#include "bits/stdc++.h"
using namespace std;
    
#define int int64_t
#define pb push_back
    
const int lim=1e5+100;
const int mod=1e9+7;
    
using pii=pair<int,int>;
    
void solve(){
    int n,k;
    cin>>n>>k;
    int a[n+1];
    a[0]=0;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        a[i]+=a[i-1];
    }
    int dp[k+1][n+1];
    memset(dp,0,sizeof(dp));
    #define b(x) (dp[i-1][x]-a[x]*a[x])
    for(int i=1;i<=k;i++){
        deque<int>h;
        h.pb(i);
        for(int j=i+1;j<=n;j++){
            int sz;
            while(1<(sz=h.size())&&
                b(h[sz-1])+a[j]*a[h[sz-1]]
                <=
                b(h[sz-2])+a[j]*a[h[sz-2]]
            )h.pop_back();
            dp[i][j]=b(h[sz-1])+a[j]*a[h[sz-1]];
            while(1<h.size()&&
                (b(j)-b(h[0]))*(a[h[0]]-a[h[1]])
                >=
                (b(h[1])-b(h[0]))*(a[h[0]]-a[j])
            )h.pop_front();
            h.push_front(j);
        }
    }
    int ans=dp[k][n];
    cout<<ans<<"\n";
    int r=n;
    for(int i=n-1;0<=i;i--){
        if((a[r]-a[i])*a[i]+dp[k-1][i]==ans){
            cout<<i<<" ";
            ans-=(a[r]-a[i])*a[i];
            r=i;
            k--;
        }
        if(ans==0)break;
    }
}
    
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
#ifdef Local  
    freopen(".in","r",stdin);
    freopen(".out","w",stdout);
#endif
    int t=1;
    //cin>>t;
    while (t--)
    {
        solve();
    }
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB contestant found the optimal answer: 108 == 108
2 Correct 0 ms 348 KB contestant found the optimal answer: 999 == 999
3 Correct 0 ms 356 KB contestant found the optimal answer: 0 == 0
4 Correct 0 ms 348 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 348 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 348 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 344 KB contestant found the optimal answer: 1 == 1
8 Correct 0 ms 420 KB contestant found the optimal answer: 1 == 1
9 Correct 0 ms 344 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 348 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 348 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 348 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 348 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 348 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 348 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 348 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 344 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 344 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 348 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 348 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 348 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 348 KB contestant found the optimal answer: 933702 == 933702
7 Correct 0 ms 348 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 348 KB contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 344 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 348 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 348 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 600 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 348 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 604 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 708 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 604 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 348 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 348 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 344 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 0 ms 344 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1884 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 344 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 1884 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 1628 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 1884 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 2140 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 604 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1104 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 1 ms 860 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 55 ms 16220 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 2 ms 860 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 54 ms 10076 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 45 ms 11612 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 51 ms 12424 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 50 ms 10204 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 42 ms 11584 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 51 ms 14936 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 15 ms 4700 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 20 ms 4604 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 75 ms 131072 KB Execution killed with signal 9
4 Halted 0 ms 0 KB -