Cod sursa(job #1721415)

Utilizator delta_wolfAndrei Stoica delta_wolf Data 25 iunie 2016 16:57:43
Problema Algoritmul lui Gauss Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.16 kb
#include <cstdio>

using namespace std;

#define EPS 0.0000001

int n,m;
double a[310][310],v[310];

int main()
{
    freopen("gauss.in", "r", stdin);
    freopen("gauss.out", "w", stdout);

    scanf("%d%d",&n,&m);
    for(int i=1;i<=n;++i)
    for(int j=1;j<=m+1;++j)
    scanf("%lf",&a[i][j]);

    int i=1,j=1,k;
    double aux;
    while(i<=n&&j<=m)
    {

    for(k=i;k<=n;++k)
    if(a[k][j]<-EPS||a[k][j]>EPS)
    break;


    if(k==n+1)
    {
    ++j;
    continue;
    }


    if(k!=i)
    for(int l=1;l<=m+1;++l)
    {
    aux=a[i][l];
    a[i][l]=a[k][l];
    a[k][l]=aux;
    }


    for(int l=j+1;l<=m+1;++l)
    a[i][l]=a[i][l]/a[i][j];
    a[i][j]=1;


    for(int u=i+1;u<=n;++u)
    {
    for(int l=j+1;l<=m+1;++l)
    a[u][l]-=a[u][j]*a[i][l];
    a[u][j]=0;
    }

    ++i;++j;
    }

    for(int i=n;i>0;--i)
    for(int j=1;j<=m+1;++j)
    if(a[i][j]>EPS||a[i][j]<-EPS)
    {
    if(j==m+1)
    {
    printf("Imposibil\n");
    return 0;
}


v[j]=a[i][m+1];
for(int k=j+1;k<=m;++k)
v[j]-=v[k]*a[i][k];

break;
}
for(int i=1;i<=m;++i)
printf("%.8lf ",v[i]);
printf("\n");

return 0;
}