Cod sursa(job #2882474)

Utilizator vlad.ulmeanu30Ulmeanu Vlad vlad.ulmeanu30 Data 31 martie 2022 14:41:14
Problema Parantezare optima de matrici Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.7 kb
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pli pair<ll,int>
#define pil pair<int,ll>
#define fi first
#define se second
#define inf (INT_MAX/2-1)
#define infl (1LL<<61)
#define vi vector<int>
#define vl vector<ll>
#define pb push_back
#define sz(a) ((int)(a).size())
#define all(a) begin(a),end(a)
#define y0 y5656
#define y1 y7878
#define aaa system("pause");
#define dbg(x) std::cerr<<(#x)<<": "<<(x)<<'\n',aaa
#define dbga(x,n) std::cerr<<(#x)<<"[]: ";for(int _=0;_<n;_++)std::cerr<<x[_]<<' ';std::cerr<<'\n',aaa
#define dbgs(x) std::cerr<<(#x)<<"[stl]: ";for(auto _:x)std::cerr<<_<<' ';std::cerr<<'\n',aaa
#define dbgp(x) std::cerr<<(#x)<<": "<<x.fi<<' '<<x.se<<'\n',aaa
#define dbgsp(x) std::cerr<<(#x)<<"[stl pair]:\n";for(auto _:x)std::cerr<<_.fi<<' '<<_.se<<'\n';aaa
#define maxn 500

using namespace std;

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

int dims[maxn+5];
ll d[maxn+5][maxn+5];

int main() {
  int n; fin >> n; ///inmultesc n matrici.

  ///dc inmultesc o matrice a*b cu o matrice b*c, fac a*c*b inmultiri.

  int i, j, z;

  for (i = 1; i <= n+1; i++) {
    fin >> dims[i];
  }

  /// a i-a matrice \in [1, n] are dimensiunile dims[i], dims[i+1].
  for (i = 1; i <= n-1; i++) {
    d[i][i+1] = (ll)dims[i] * dims[i+1] * dims[i+2];
  }

  for (z = 3; z <= n; z++) { ///z = dimensiunea itv calculat.
    for (i = 1; i+z-1 <= n; i++) {
      j = i+z-1;
      d[i][j] = infl;
      for (int k = i; k < j; k++) {
        d[i][j] = min(d[i][j], d[i][k] + d[k+1][j] + (ll)dims[i]*dims[k+1]*dims[j+1]);
      }
    }
  }

  fout << d[1][n];

  fin.close();
  fout.close();

  return 0;
}