Cod sursa(job #1961599)

Utilizator edi_laitinLaitin Eduard edi_laitin Data 11 aprilie 2017 11:15:27
Problema Algoritmul lui Gauss Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.45 kb
#include <iostream>
#include <fstream>
#include <iomanip>

using namespace std;

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

int N,M,row[305],ok=1;
double E[305][305];

const double kEps = 1e-8;
bool Zero(double d)
{
  return (d > -kEps) && (d < kEps);
}

void Read()
{
    fin>>N>>M;

    for(int i=1;i<=N;i++)
      for(int j=1;j<=M+1;j++)
          fin>>E[i][j];
}

void Solve()
{
    int r=1,c=1;

    while(r<=N && c<=M)
    {
        if(Zero(E[r][c]))
        {
            int i=r+1;
            while(i<=N && Zero(E[i][c]))
                i++;
            if(i>N)
            {
               c++;
               continue;
            }
          swap(E[r],E[i]);
        }

        for(int i=1;i<=N;i++)
        {
            if(i==r)
                continue;

            double k=E[i][c]/E[r][c];
            for(int j=1;j<=M+1;j++)
                E[i][j]-=k*E[r][j];
        }
        row[c++]=r++;
    }

    if(c>M)
    {
        for(;r<=N;r++)
        {
            if(!Zero(E[r][M+1]))
               {
                   fout<<"Imposibil\n";
                   ok=0;
                   break;
               }
        }
    }
}

void Print()
{
    fout<<setprecision(10)<<fixed;
  for (int i=1;i<=M;i++)
    fout << (row[i] ? (E[row[i]][M + 1] / E[row[i]][i]) : 0.0) << " ";
  fout << "\n";
}

int main()
{
   Read();
   Solve();
   if(ok) Print();
   return 0;
}