vector<int> base10toBin(int nb)
{
vector <int> v(0);
vector <int> result(0);
while(nb>0)
{
if(nb%2==0)
v.push_back(0);
else
v.push_back(1);
nb = nb/2;
}
for(int i = v.size(); i > 0 ; i --)
result.push_back(v[i]);
result.push_back(v[0]);
return result;
}