Submission #235816

#	Time	Username	Problem	Language	Result	Execution time	Memory
235816		balbit	Split the sequence (APIO14_sequence)	C++14	0 / 100	78 ms	131076 KiB

sequence

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pii pair<int, int>
#define f first
#define s second

#define REP(i,n) for (int i = 0; i<n; ++i)
#ifdef BALBIT
#define bug(...) cerr<<"#"<<__LINE__<<": "<<#__VA_ARGS__<<": ", _do(__VA_ARGS__)
template<typename T> void _do(T && x){cerr<<x<<endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y){cerr<<x<<", "; _do(y...);}
#define IOS()
#else
#define IOS() ios::sync_with_stdio(0), cin.tie(0)
#define endl '\n'
#define bug(...)
#endif // BALBIT

#define SZ(x) (int)(x.size())
#define ALL(x) (x).begin(), (x).end()
#define pb push_back

struct line{
    ll m,b;
    int id;
};

double its(line a, line b){
    if (a.m == b.m) return 1e18+1029;
    return (b.b-a.b) / (double)(a.m-b.m);
}

list<line>dq[203];
ll dp[100005][203];
int frm[100005][203];
ll ps[100005];

signed main(){
    IOS();
    int n,K; cin>>n>>K; ++K;
    assert(K >= 2);
    for (int i = 0; i<n; ++i) {
        cin>>ps[i+1]; ps[i+1] += ps[i];
    }
    memset(dp, 0x3f, sizeof dp);
    dp[0][0] = 0;
    for (int i=1;i<=n;++i){
        for (int k=1; k<=K; ++k) {
            for (int j = 0; j<i; ++j) {
                ll tt = dp[j][k-1] + (ps[i] - ps[j]) * (ps[i] - ps[j]);
                if (tt <= dp[i][k]) {
                    frm[i][k] = j; dp[i][k] = tt;
                }
            }
//            bug(i,k,dp[i][k]);
        }
    }
//    bug(dp[n][K]);
    cout<<(ps[n]*ps[n] - dp[n][K]) / 2<<endl;
    int at = frm[n][K];
    for (int k = K-1; k>0; --k) {
        cout<<at<<' ';
        at = frm[at][k];
    }
    cout<<endl;
}

/*
7 3
4 1 3 4 0 2 3
*/

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