  We report adaptive-optics (AO) follow-up imaging of OGLE-2014-BLG-1050, which
is the second binary microlensing event with space-based parallax measurements.
The degeneracy in microlens parallax pi_E led to two sets of solutions, either
a ~(0.9, 0.35) M_Sun binary at ~3.5 kpc, or a ~(0.2, 0.07) M_Sun binary at ~1.1
kpc. We measure the flux blended with the microlensed source by conducting
Magellan AO observations, and find that the blending is consistent with the
predicted lens flux from the higher-mass solution. From the combination of the
AO flux measurement together with previous lensing constraints, it is estimated
that} the lens system consists of a $1.05^{+0.08}_{-0.07}$ M_Sun primary and a
$0.38^{+0.07}_{-0.06}$ M_Sun secondary at $3.43^{+0.19}_{-0.21}$ kpc.
