#include <cassert>
#include <algorithm>
#include <vector>

//From http://www.richelbilderbeek.nl/CppRescale.htm
const std::vector<std::vector<double> > Rescale(
  std::vector<std::vector<double> > v,
  const double newMin,
  const double newMax)
{
  const double oldMin = MinElement(v);
  const double oldMax = MaxElement(v);
  typedef std::vector<std::vector<double> >::iterator RowIter;
  RowIter y = v.begin();
  const RowIter maxy = v.end();
  for ( ; y!=maxy; ++y)
  {
    typedef std::vector<double>::iterator ColIter;
    ColIter x = y->begin();
    const ColIter maxx = y->end();
    for ( ; x!=maxx; ++x)
    {
      *x = Rescale(*x,oldMin,oldMax,newMin,newMax);
    }
  }
  return v;
}