Rank of Matrix 3X3

problem id:--http://practice.geeksforgeeks.org/problems/rank-of-matrix/0

code:--

#include <bits/stdc++.h>

using namespace std;
#define ll   long long
#define      pii               std::pair<int,int>
#define      vi                std::vector<int>
#define      vll               std::vector<long long>
#define      mp(a,b)           make_pair(a,b)
#define      pb(a)             push_back(a)
#define sc(x)   scanf("%d",&x)
#define scll(x)   scanf("%lld",&x)
#define sc2(x,y)   scanf("%d%d",&x,&y)
#define sc3(x,y,z)   scanf("%d%d%d",&x,&y,&z)
#define     pf(x)   printf("%d ",x)
#define     pf2(x,y)   printf("%d %d ",x,y)
#define     pf3(x,y,z)   printf("%d %d %d ",x,y,z)
#define pfnl()   printf("\n");
#define      each(it,s)        for(auto it = s.begin(); it != s.end(); ++it)
#define      rep(i, n)         for(int i = 0; i < (n); ++i)
#define rep2(i,j,n)   for(int i = j; i < (n); ++i)
//#define      fill(a)           memset(a, 0, sizeof (a))
#define      sortA(v)          sort(v.begin(), v.end())
#define      sortD(v)          sort(v.begin(), v.end(), greater<auto>())
#define      X                 first
#define      Y                 second

#define debug(x) cerr<<"debug->"<<#x<<"::"<<x<<endl
#define debug2(x,y) cerr<<#x<<" :: "<<x<<"\t"<<#y<<" :: "<<y<<"\n"
#define debug3(x,y,z) cerr<<#x<<" :: "<<x<<"\t"<<#y<<" :: "<<y<<"\t"<<#z<<" :: "<<z<<"\n"
#define MOD 1000000007
#define eps 0.000001

int main(int argc, char **argv) {
//std::ios::sync_with_stdio(false);
float arr[3][3];
int rank,c,n=3;
bool visit[3];
int t;
sc(t);
while(t--)
{
fill(visit,visit+3,0);
cout<<fixed;
cout<<setprecision(6);
rep(i,n) rep(j,n) scanf("%f",&arr[i][j]);
rank=0,c=0;
rep(k,n)
{
int loc=-1;
rep(i,n)
if(!visit[i] && fabs(arr[i][c])>eps) { loc=i; break; }
if(loc==-1) { ++c;continue; }
++rank,visit[loc]=1;
rep(r,n)
{
if(visit[r] || fabs(arr[r][c])<eps) continue;
float fact=arr[r][c]/arr[loc][c];
rep2(temp_c,c,n) arr[r][temp_c]+=-fact*arr[loc][temp_c];
}
++c;
}
//rep(i,n) { rep(j,n) printf("%f ",arr[i][j]); printf("\n"); } // you could print the matrix by removing the comment line
pf(rank);
pfnl();
}
return 0;
}