Cod sursa(job #1610521)

Utilizator ArkinyStoica Alex Arkiny Data 23 februarie 2016 16:50:40
Problema Algoritmul lui Gauss Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.32 kb
#include<fstream>
#include<algorithm>
#include<iomanip>
using namespace std;
ifstream in("gauss.in");
ofstream out("gauss.out");

double A[310][310];
double var[310];
int N, M;

#define EPS 0.0000001

int main()
{
	int N, M;
	in >> N >> M;
	for (int i = 1; i <= N; ++i)
		for (int j = 1; j <= M + 1; ++j)
			in >> A[i][j];
    
	int i = 1, j = 1;
	while(i<=N && j<=M)
	{
		int k;
		for (k = i; k <= N; ++k)
			if (A[k][j] != 0)
				break;
		if (k == N + 1)
		{
			++j;
			continue;
		}
		if (k != i)
		{
			for (int r = 1; r <= M + 1; ++r)
			{
				int t = A[i][r];
				A[i][r] = A[k][r];
				A[k][r] = t;
			}
		}
		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 >= 1; --i)
		for (int j = 1; j <= M + 1;++j)
			if (A[i][j]>EPS || A[i][j]<-EPS)
			{
				if (j == M + 1)
				{
					out << "Imposibil";
					return 0;
				}
				var[j] = A[i][M + 1];
				for (int k = j + 1; k <= M; ++k)
					var[j] -= A[i][k] * var[k];
				var[j] = var[j] / A[i][j];
				break;
			}
	for (int i = 1; i <= M; ++i)
		out <<setprecision(10)<<fixed<< var[i] << " ";


	return 0;
}