Cod sursa(job #2513861)

Utilizator vlad082002Ciocoiu Vlad vlad082002 Data 23 decembrie 2019 22:30:08
Problema Ferma Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.24 kb
#include <iostream>
#include <fstream>
#define MAXN 10005
#define inf 1000000000
#define MAXK 1024
using namespace std;

ifstream fin("ferma.in");
ofstream fout("ferma.out");

int n, K, prod[MAXN], s[MAXN], dp[MAXK][MAXN], res;

void citire() {
    fin >> n >> K;
    for(int i = 1; i <= n; i++)
        fin >> prod[i];
}

void solve() {
    s[1] = prod[1];
    for(int i = 2; i<= n; i++)
        s[i] = s[i-1]+prod[i];

    for(int i = 1; i <= K; i++) {
        dp[i][i] = s[i];
        int maxim = dp[i-1][i]-s[i];
        for(int j = i+1; j <= n; j++) {
            dp[i][j] = max(dp[i][j-1], maxim+s[j]);
            maxim = max(maxim, dp[i-1][j]-s[j]);
        }
    }

    for(int j = K; j <= n; j++)
        res = max(res, dp[K][j]);

    for(int j = 2; j <= n; j++)
        dp[1][j] = max(dp[1][j-1], s[j]);

    for(int i = 2; i <= K; i++) {
        dp[i][i] = s[i];
        int maxim = dp[i-1][i]-s[i];
        for(int j = i+1; j <= n; j++) {
            dp[i][j] = max(dp[i][j-1], maxim+s[j]);
            maxim = max(maxim, dp[i-1][j]-s[j]);
        }
    }

    for(int j = K; j <= n; j++)
        res = max(res, dp[K][j]+s[n]-s[j]);
}

int main() {
    citire();
    solve();
    fout << res;
}