Submission #564975

#	Time	Username	Problem	Language	Result	Execution time	Memory
564975		ac2hu	Split the sequence (APIO14_sequence)	C++14	33 / 100	175 ms	131072 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<vector<vector<ll>>> dp(n, vector<vector<ll>>(n, vector<ll>(K + 2)));
    vector<vector<vector<int>>> spp(n, vector<vector<int>>(n, vector<int>(K + 2)));
    vector<int> a(n);
    for(auto &e : a)cin >> e;
    Z pref(a);
    auto solve = [&](auto &self, int l,int r,int k)->ll{
        if(l > r)return 0;
        if(k == 0)return 0;
        if(dp[l][r][k] != 0)return dp[l][r][k];
        assert(k > 0);
        ll ans = 0;
        for(int i = l;i<r;i++){
            // (l, i), (l + 1, r)
            ll val = pref(l, i)*pref(i + 1, r) + self(self, l, i, 0) + self(self, i + 1, r, k - 1);
            if(val > ans){
                spp[l][r][k] = i;
                ans = val;
            }
        }
        return (dp[l][r][k] = ans);
    };
    vector<int> A;
    auto get = [&](auto &self,int l,int r,int k)->void{
        if(l > r)return;
        if(k == 0)return;
        A.push_back(spp[l][r][k]);
        int i = spp[l][r][k];
        self(self, l, i, 0);
        self(self, i + 1, r, k - 1);
    };
    cout << solve(solve, 0, n - 1, K) << "\n";
    get(get, 0, n - 1, K);
    for(auto e : A)cout << e + 1 << " ";
    cout << "\n";
}

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