Cod sursa(job #2144777)

Utilizator andreicoman299Coman Andrei andreicoman299 Data 26 februarie 2018 21:57:36
Problema Algoritmul lui Gauss Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.45 kb
#include <bits/stdc++.h>
#define MAXN 300
#define MAXM 300

const double EPS = 0.0000001;
inline double absolut(double a){return a > 0 ? a : -a;}
double a[1 + MAXN][1 + MAXM + 1], v[1 + MAXN];
int main(){
    FILE*fi,*fo;
    fi = fopen("gauss.in","r");
    fo = fopen("gauss.out","w");

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

    int i, j, k;
    i = j = 1;
    while(i <= n && j <= m){
        k = i;
        while(k <= n && absolut(a[k][j]) < EPS) k++;
        if(k != n + 1){
            if(k != i) for(int p = 1; p <= m + 1; p++) std::swap(a[i][p], a[k][p]);
            for(int p = j + 1; p <= m + 1; p++) a[i][p] /= a[i][j];
            a[i][j] = 1.0;
            for(int p = i + 1; p <= n; p++){
                for(int q = j + 1; q <= m + 1; q++) a[p][q] -= a[p][j] * a[i][q];
                a[p][j] = 0.0;
            }
            i++;
        }
        j++;
    }

    for(int i = n; i >= 1; i--)
        for(int j = 1; j <= m + 1; j++)
            if(absolut(a[i][j]) > EPS){
                if(j == m + 1){
                    fprintf(fo,"Imposibil");
                    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++) fprintf(fo,"%.10f ", v[i]);

    return 0;
}