Submission #946240

#	Time	Username	Problem	Language	Result	Execution time	Memory
946240		KK_1729	Split the sequence (APIO14_sequence)	C++17	50 / 100	2058 ms	32912 KiB

sequence

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

#define int long long
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define pb push_back
#define all(a) a.begin(), a.end()
#define endl "\n"

void printVector(vector<int> a){
    for (auto x: a) cout << x << " ";
    cout << endl;
}

int max(int x, int y){
    if (x > y) return x;
    else return y;
}

void solve(){
    int n, k; cin >> n >> k;
    vector<int> a(n+1);
    FOR(i,0,n) cin >> a[i+1];

    vector<int> prefix(n+1);
    FOR(i,1,n+1) prefix[i] = prefix[i-1]+a[i];

    vector<vector<int>> dp(n+1, vector<int>(k+2));
    vector<vector<int>> prev(n+1, vector<int>(k+2));
    for (int j = 1; j <= k+1; ++j){
        for (int i = 1; i <= n; ++i){
            if (j > i) continue;
            for (int u = 0; u < i; u++){
                if (dp[u][j-1]+(prefix[i]-prefix[u])*(prefix[n]-prefix[i]) >= dp[i][j]){
                    prev[i][j] = u;
                    dp[i][j] = dp[u][j-1]+(prefix[i]-prefix[u])*(prefix[n]-prefix[i]);
                }
            }
        }
    }
    int u = n;
    int h = k+1;
    cout << dp[n][k+1] << endl;
    while (prev[u][h] != 0 && h > 1){
        cout << prev[u][h] << " ";
        u = prev[u][h];
        h--;
    }
    
    cout << endl;

}
int32_t main(){
    ios::sync_with_stdio(false); cin.tie(0);

    // freopen("in.in", stdin)
    int t = 1; // cin >> t;
    while (t--) solve();
}

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