Cod sursa(job #1899006)

Utilizator delta_wolfAndrei Stoica delta_wolf Data 2 martie 2017 14:30:12
Problema Algoritmul lui Gauss Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.42 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;
}