  We use experimentally measured identified particle spectra and Hanbury
Brown-Twiss radii to determine the entropy per unit rapidity $dS/dy$ produced
in $\sqrt{s} = 7$ TeV pp and $\sqrt{s_{\rm NN}} = 2.76$ TeV Pb-Pb collisions.
We find that $dS/dy = 11335 \pm 1188$ in 0-10% Pb-Pb, $dS/dy = 135.7 \pm 17.9$
in high-multiplicity pp, and $dS/dy = 37.8 \pm 3.7$ in minimum bias pp
collisions and compare the corresponding entropy per charged particle
$(dS/dy)/(dN_{\rm ch}/dy)$ to predictions of statistical models. Finally, we
use the QCD kinetic theory pre-equilibrium and viscous hydrodynamics to model
entropy production in the collision and reconstruct the average temperature
profile at $\tau_0 = 1$ fm/$c$ for high multiplicity pp and Pb-Pb collisions.
