Submission #1076428

#	Time	Username	Problem	Language	Result	Execution time	Memory
1076428		YassirSalama	Split the sequence (APIO14_sequence)	C++17	50 / 100	107 ms	3596 KiB

sequence

#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define int long long
#define all(v) v.begin(),v.end()
#define pii pair<int,int>
#define F first
#define S second
template<typename T> 
void dbg(const T& t){
    cout<<t<<endl;
}
template<typename T,typename... Args>
void dbg(const T& t,const Args&... args){
    cout<<t<<" , ";
    dbg(args...);
}
#define dbg(...) cout<<"("<<#__VA_ARGS__<<") : ";dbg(__VA_ARGS__);
const int maxn=1000+10;
int n,k;
int pref[maxn];
int v[maxn];
int sum(int l,int r){
    if(l>r) return 0LL;
    if(l==0) return pref[r];
    return pref[r]-pref[l-1];
}
signed main(){
    ios_base::sync_with_stdio(0);cin.tie(0);
    cin>>n>>k;
    for(int i=1;i<=n;i++){
        cin>>v[i];
    }
    for(int i=1;i<=n;i++){
        pref[i]=v[i];
        if(i) pref[i]+=pref[i-1];
    }
    int dp[n+1][k+1];
    for(int i=0;i<=n;i++) for(int j=0;j<=k;j++) dp[i][j]=-1e18;
    dp[0][0]=0;
    int ans=0;
    int dp2[n+1][k+1];
    memset(dp2,0,sizeof(dp2));
    for(int i=1;i<=n;i++){
        for(int j=i;j>=1;j--){
            for(int t=k;t>=1;t--){
                int x=dp[j-1][t-1]+sum(j,i)*sum(i+1,n);
                if(dp[i][t]<x){
                    dp[i][t]=x;
                    dp2[i][t]=j;
                    ans=max(ans,dp[i][t]);
                }
            }
        }
    }
    cout<<ans<<"\n";
    vector<int> a;
    int t=k;
    for(int i=n-1;i>=1;i--){
        if(dp[i][t]==ans){
            a.pb(i);
            ans=dp[dp2[i][t]-1][t-1];
            t--;
            // break;
        }
    }
    reverse(all(a));
    for(auto x:a){
        cout<<x<<" ";
    }
    cout<<"\n";
    return 0;
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29