  Resurgent-transseries solutions to Painleve equations may be recursively
constructed out of these nonlinear differential-equations -- but require Stokes
data to be globally defined over the complex plane. Stokes data explicitly
construct connection-formulae which describe the nonlinear Stokes phenomena
associated to these solutions, via implementation of Stokes transitions acting
on the transseries. Nonlinear resurgent Stokes data lack, however, a
first-principle computational approach, hence are hard to determine
generically. In the Painleve I and Painleve II contexts, nonlinear Stokes data
get further hindered as these equations are resonant, with non-trivial
consequences for the interconnections between transseries sectors, bridge
equations, and associated Stokes coefficients. In parallel to this, the
Painleve I and Painleve II equations are string-equations for two-dimensional
quantum (super) gravity and minimal string theories, where Stokes data have
natural ZZ-brane interpretations. This work computes for the first time the
complete, analytical, resurgent Stokes data for the first two Painleve
equations, alongside their quantum gravity or minimal string incarnations. The
method developed herein, dubbed "closed-form asymptotics", makes sole use of
resurgent large-order asymptotics of transseries solutions -- alongside a
careful analysis of the role resonance plays. Given its generality, it may be
applicable to other distinct (nonlinear, resonant) problems. Results for
analytical Stokes coefficients have natural structures, which are described,
and extensive high-precision numerical tests corroborate all analytical
predictions. Connection-formulae are explicitly constructed, with rather simple
and compact final results encoding the full Stokes data, and further allowing
for exact monodromy checks -- hence for an analytical proof of our results.
