Submission #564983

#	Time	Username	Problem	Language	Result	Execution time	Memory
564983		ac2hu	Split the sequence (APIO14_sequence)	C++14	50 / 100	2086 ms	24660 KiB

sequence

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
struct Z{
    vector<ll> vals;
    int n;
    Z(vector<int> &a){
        n = a.size();
        vals.resize(n , 0);
        vals[0] = a[0];
        for(int i = 1;i<n;i++){
            vals[i] = vals[i - 1] + a[i];
        }
    }
    ll operator()(int l,int r){
        if(l > r)return 0;
        assert(n > r);
        assert(l <= r);
        assert(l >= 0);
        int temp = vals[r];
        if(l != 0)temp -= vals[l - 1];
        return temp;
    }
};
signed main(){
    iostream::sync_with_stdio(false);
    cin.tie(nullptr);cout.tie(nullptr);
    int n, K;cin >> n >> K;
    vector<int> a(n);
    for(auto &e : a)cin >> e;
    Z pref(a);
    vector<vector<ll>> dp(n + 1, vector<ll>(K + 1, -1e17));
    vector<vector<int>> jump(n + 1, vector<int>(K + 1, -1));
    dp[0][0] = 0;
    for(int i = 1;i<=n;i++){
        dp[i][0] = 0;
        for(int j = i;j>=1;j--){
            for(int k = 1;k<=K;k++){
                ll val =dp[j - 1][k - 1] + pref(j - 1,i - 1)*pref(i, n - 1);
                if(val > dp[i][k]){
                    dp[i][k] = val;
                    jump[i][k] = j - 1;
                }
            }
        }
    }
    int MX = -1;
    ll val = -1;
    for(int i = 0;i<=n;i++){
        if(dp[i][K] > val){
            val = dp[i][K];
            MX = i;
        }
    }
    cout << val << "\n";
    vector<int> temp;
    int c = K;
    while(MX != 0 && MX != -1 &&  c > 0){
        temp.push_back(MX);
        MX = jump[MX][c];
        --c;
    }
    reverse(temp.begin(), temp.end());
    for(int e : temp)cout << e << " ";
    cout << "\n";
}

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