제출 #1002834

#제출 시각아이디문제언어결과실행 시간메모리
1002834mariaclaraCigle (COI21_cigle)C++17
100 / 100
195 ms134596 KiB
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef pair<int,int> pii;
const int MAXN = 1e5+5;
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define pb push_back
#define fr first
#define sc second

int n, v[5005], dp[5005][5005], max_dp[5005][5005], pref[5005]; // max_dp[i][j] =  max{dp[1][j], dp[2][j], ..., dp[i][j]}
int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n;

    for(int i = 1; i <= n; i++)
        cin >> v[i], pref[i] = pref[i-1] + v[i];

    // l ... r
    // l-1 ... k
    
    for(int l = 1; l <= n; l++) {
        dp[l][l] = max_dp[l-1][l-1];

        int cnt = 0;
        for(int r = l, k = l-1; r <= n; r++) {
            if(r > l) dp[l][r] = dp[l][r-1];
            if(k >= 1) dp[l][r] = max(dp[l][r], max_dp[k][l-1] + cnt);

            while(k >= 1 and pref[l-1] - pref[k-1] < pref[r] - pref[l-1]) k--;
            if(k >= 1 and pref[l-1] - pref[k-1] == pref[r] - pref[l-1]) cnt++, k--;
        }

        for(int k = 1; k <= l; k++)
            max_dp[k][l] = max(dp[k][l], max_dp[k-1][l]);
    }

    cout << max_dp[n][n] << "\n";
}
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