  We re-analyse the prospects of discovering supersymmetry at the LHC, in order
to re-express coverage in terms of a fine-tuning parameter and to extend the
analysis to scalar masses (m_0) above 2 TeV.
  We use minimal supergravity (mSUGRA) unification assumptions for the SUSY
breaking parameters. The discovery reach at high m_0 is of renewed interest
because this region has recently been found to have a focus point, leading to
relatively low fine-tuning, and because it remains uncertain how much of the
region can be ruled out due to lack of radiative electroweak symmetry breaking.
  The best fine tuning reach is found in a mono-leptonic channel, where for
mu>0, A_0=0 and tan beta=10
  (within the focus point region), and a top mass of 174 GeV, all points in
mSUGRA with m_0 < 4000 GeV, with a fine tuning measure up to 210 (500) are
covered by the search, where the definition of fine-tuning excludes (includes)
the contribution from the top Yukawa coupling. Even for arbitrarily high m_0,
mSUGRA can be discovered through gaugino events, provided the gaugino mass
parameter M_1/2 < 460 GeV. In this region, the mono-leptonic channel still
provides the best reach.
