|
BEC Vortex Experiment
List |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Latest update: February
1, 2018 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Prepared by Brian P. Anderson, College of Optical
Sciences, University of Arizona, Tucson, AZ. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Email corrections/additions/suggestions to:
bpa@optics.arizona.edu |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Vortexbibtex website: http://www.becvortex.com |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Alternative address: http://sites.google.com/site/becvortex/ |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Vortices in superfluid atomic
gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Citation Key |
journal |
vol |
page |
year |
first author |
Title |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
1999 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mat1999.PRL83.2498 |
Phys Rev Lett |
83 |
2498 |
1999 |
Matthews, M |
Vortices in a
Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2000 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mad2000.PRL84.806 |
Phys Rev Lett |
84 |
806 |
2000 |
Madison, K |
Vortex
Formation in a Stirred Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Che2000.PRL85.2223 |
Phys
Rev Lett |
85 |
2223 |
2000 |
Chevy,
F |
Measurement
of the Angular Momentum of a Rotating Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
And2000.PRL85.2857 |
Phys
Rev Lett |
85 |
2857 |
2000 |
Anderson,
B |
Vortex
Precession in Bose-Einstein Condensates: Observations with Filled and Empty
Cores |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mad2000.JMO47.2715 |
J
Modern Opt |
47 |
2715 |
2000 |
Madison,
K |
Vortices
in a Stirred Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2001 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Abo2001.Sci292.5516 |
Science |
292 |
5516 |
2001 |
Abo-Shaeer, J |
Observation of
Vortex Lattices in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
And2001.PRL86.2926 |
Phys
Rev Lett |
86 |
2926 |
2001 |
Anderson,
B |
Watching
Dark Solitons Decay into Vortex Rings in a Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hal2001.PRL86.2922 |
Phys
Rev Lett |
86 |
2922 |
2001 |
Haljan,
P |
Use
of Surface-Wave Spectroscopy to Characterize Tilt Modes of a Vortex in a
Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mad2001.PRL86.4443 |
Phys
Rev Lett |
86 |
4443 |
2001 |
Madison,
K |
Stationary
States of a Rotating Bose-Einstein Condensate: Routes to Vortex Nucleation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Che2001.CRAS2.663 |
Compt.
Rend. Acad Sci |
2 |
663 |
2001 |
Chevy,
F |
Nucleation
of quantized vortices in a gaseous Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dut2001.Sci293.663 |
Science |
293 |
663 |
2001 |
Dutton,
Z |
Observation
of Quantum Shock Waves Created with Ultra-Compressed Slow Light Pulses in a
Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Che2001.PRA64.031601 |
Phys
Rev A |
64 |
031601 |
2001 |
Chevy,
F |
Interferometric
detection of a single vortex in a dilute Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ino2001.PRL87.080402 |
Phys
Rev Lett |
87 |
080402 |
2001 |
Inouye,
S |
Observation
of Vortex Phase Singularities in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ram2001.PRL87.210402 |
Phys
Rev Lett |
87 |
210402 |
2001 |
Raman,
C |
Vortex
Nucleation in a Stirred Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hal2001.PRL87.210403 |
Phys
Rev Lett |
87 |
210403 |
2001 |
Haljan,
P |
Driving
Bose-Einstein-Condensate Vorticity with a Rotating Normal Cloud |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hod2001.PRL88.010405 |
Phys
Rev Lett |
88 |
010405 |
2001 |
Hodby,
E |
Vortex
Nucleation in Bose-Einstein Condensates in an Oblate, Purely Magnetic
Potential |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2002 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Abo2002.PRL88.070409 |
Phys Rev Lett |
88 |
070409 |
2002 |
Abo-Shaeer, J |
Formation and
Decay of Vortex Lattices in Bose-Einstein Condensates at Finite Temperatures |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ros2002.PRL88.250403 |
Phys
Rev Lett |
88 |
250403 |
2002 |
Rosenbusch,
P |
Critical
Rotation of a Harmonically Trapped Bose Gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Eng2002.PRL89.100403 |
Phys
Rev Lett |
89 |
100403 |
2002 |
Engels,
P |
Nonequilibrium
Effects of Anisotropic Compression Applied to Vortex Lattices in
Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lea2002.PRL89.190403 |
Phys
Rev Lett |
89 |
190403 |
2002 |
Leanhardt,
A |
ImprintingVortices
in a Bose-Einstein Condensate using Topological Phases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ros2002.PRL89.200403 |
Phys
Rev Lett |
89 |
200403 |
2002 |
Rosenbusch,
P |
Dynamics
of a SingleVortex Line in a Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2003 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bre2003.PRL90.100403 |
Phys Rev Lett |
90 |
100403 |
2003 |
Bretin, V |
Quadrupole
Oscillation of a Single-Vortex Bose-Einstein Condensate: Evidence for Kelvin
Modes |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bre2003.JOB5.S23 |
J
Opt B |
5 |
S23 |
2003 |
Bretin,
V |
Dynamics
of a single vortex line in a Bose–Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lea2003.PRL90.140403 |
Phys
Rev Lett |
90 |
140403 |
2003 |
Leanhardt,
A |
CorelessVortex
Formation in a Spinor Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Eng2003.PRL90.170405 |
Phys
Rev Lett |
90 |
170405 |
2003 |
Engels,
P |
Observation
of Long-Lived Vortex Aggregates in Rapidly Rotating Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Eng2003.PBCM329.7 |
Physica
B: Cond Mat |
329 |
7 |
2003 |
Engels,
P |
Using
anisotropic compression to melt a vortex lattice in a Bose–Einstein
condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hod2003.PRL91.090403 |
Phys
Rev Lett |
91 |
090403 |
2003 |
Hodby,
E |
Experimental
Observation of a Superfluid Gyroscope in a Dilute Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cod2003.PRL91.100402 |
Phys
Rev Lett |
91 |
100402 |
2003 |
Coddington,
I |
Observation
of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2004 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Eng2004.JLTP134.683 |
J Low Temp Phys |
134 |
683 |
2004 |
Engels, P |
Vortex Lattice
Dynamics in a Dilute Gas BEC |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2004.PRL92.040404 |
Phys
Rev Lett |
92 |
040404 |
2004 |
Schweikhard,
V |
Rapidly
Rotating Bose-Einstein Condensates in and near the Lowest Landau Level |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bre2004.PRL92.050403 |
Phys
Rev Lett |
92 |
050403 |
2004 |
Bretin,
V |
Fast
Rotation of a Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sto2004.EPL65.594 |
Europhys
Lett |
65 |
594 |
2004 |
Stock,
S |
Shape
oscillation of a rotating Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ros2004.LP14.545 |
Laser
Phys |
14 |
545 |
2004 |
Rosenbusch,
P |
Evidence
for Kelvin modes in a single vortex Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Smi2004.PRL93.080406 |
Phys
Rev Lett |
93 |
080406 |
2004 |
Smith,
N |
Experimental
Observation of the Tilting Mode of an Array of Vortices in a Dilute
Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Shi2004.PRL93.160406 |
Phys
Rev Lett |
93 |
160406 |
2004 |
Shin,
Y |
Dynamical
Instability of a Doubly Quantized Vortex in a Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2004.PRL93.210403 |
Phys
Rev Lett |
93 |
210403 |
2004 |
Schweikhard,
V |
Vortex-Lattice
Dynamics in Rotating Spinor Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cod2004.PRA70.063607 |
Phys
Rev A |
70 |
063607 |
2004 |
Coddington,
I |
Experimental
studies of equilibrium vortex properties in a Bose-condensed gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2005 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Gin2005.PRL94.040403 |
Phys Rev Lett |
94 |
040403 |
2005 |
Ginsberg, N |
Observation of
Hybrid Soliton Vortex-Ring Structures in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sto2005.LPL2.275 |
Laser
Phys Lett |
2 |
275 |
2005 |
Stock,
S |
Bose-Einstein
condensates in fast rotation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sim2005.PRL94.080404 |
Phys
Rev Lett |
94 |
080404 |
2005 |
Simula,
T |
Observations
on Sound Propagation in Rapidly Rotating Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Zwi2005.Nat435.1047 |
Nature |
435 |
1047 |
2005 |
Zwierlein,
M |
Vortices
and superfluidity in a strongly interacting Fermi gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Shi2005.PRA72.021604 |
Phys
Rev A |
72 |
021604 |
2005 |
Shin,
Y. |
Interference
of Bose-Einstein condensates split with an atom chip |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sto2005.PRL95.190403 |
Phys
Rev Lett |
95 |
190403 |
2005 |
Stock,
S |
Observation
of Phase Defects in Quasi-Two-Dimensional Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2006 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Zwi2006.Sci311.5760 |
Science |
311 |
5760 |
2006 |
Zwierlein, M |
Fermionic
Superfluidity with Imbalanced Spin Populations |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kum2006.LP16.371 |
Laser
Phys |
16 |
371 |
2006 |
Kumakura,
M |
Topological
Creation of a Multiply Charged Quantized Vortex in the Rb Bose–Einstein
Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mun2006.PRA73.041605 |
Phys
Rev A |
73 |
041605 |
2006 |
Muniz,
S |
Bragg
spectroscopy of vortex lattices in Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kum2006.PRA73.063605 |
Phys
Rev A |
73 |
063605 |
2006 |
Kumakura,
M |
Topological
formation of a multiply charged vortex in the Rb Bose-Einstein condensate:
Effectiveness of the gravity compensation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Had2006.Nat441.1118 |
Nature |
441 |
1118 |
2006 |
Hadzibabic,
Z |
Berezinskii–Kosterlitz–Thouless
crossover in a trapped atomic gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sad2006.Nat443.312 |
Nature |
443 |
312 |
2006 |
Sadler,
L |
Spontaneous
symmetry breaking in a quenched ferromagnetic spinor Bose–Einstein
condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
And2006.PRL97.170406 |
Phys
Rev Lett |
97 |
170406 |
2006 |
Andersen,
M |
Quantized
Rotation of Atoms from Photons with Orbital Angular Momentum |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Tun2006.PRL97.240402 |
Phys
Rev Lett |
97 |
240402 |
2006 |
Tung,
S |
Observation
of Vortex Pinning in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2007 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2007.PRL98.050404 |
Phys Rev Lett |
98 |
050404 |
2007 |
Schunck, C |
Superfluid
Expansion of a Rotating Fermi Gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2007.PRL98.110402 |
Phys
Rev Lett |
98 |
110402 |
2007 |
Scherer,
D |
Vortex
Formation by Merging of Multiple Trapped Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mun2007.MCS74.397 |
Math.
Comp. Sim |
74 |
397 |
2007 |
Muniz,
S |
Dynamics
of rotating Bose–Einstein condensates probed by Bragg scattering |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hel2007.NPA790.705c |
Nuc.
Phys A |
790 |
705c |
2007 |
Helmerson,
K |
Generating
persistent currents states of atoms using orbital angular momentum of photons |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2007.PRL99.030401 |
Phys
Rev Lett |
99 |
030401 |
2007 |
Schweikhard,
V |
Vortex
Proliferation in the Berezinskii-Kosterlitz-Thouless Regime on a
Two-Dimensional Lattice of Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Iso2007.PRL99.200403 |
Phys
Rev Lett |
99 |
200403 |
2007 |
Isoshima,
T |
Spontaneous
Splitting of a Quadruply Charged Vortex |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ryu2007.PRL99.260401 |
Phys
Rev Lett |
99 |
260401 |
2007 |
Ryu,
C |
Observation
of Persistent Flow of a Bose-Einstein Condensate in a Toroidal Trap |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2008 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wri2008.PRA77.041601 |
Phys Rev A |
77 |
041601 |
2008 |
Wright, K |
Optical control
of the internal and external angular momentum of a Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Had2008.NJP10.045006 |
New
J Phys |
10 |
045006 |
2008 |
Hadzibabic,
Z |
The
trapped two-dimensional Bose gas:from Bose–Einstein condensation to
Berezinskii–Kosterlitz–Thouless physics |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mck2008.Nat453.76 |
Nature |
453 |
76 |
2008 |
McKay,
D |
Phase-slip-induced
dissipation in an atomic Bose–Hubbard system |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ven2008.PRL100.170403 |
Phys
Rev Lett |
100 |
170403 |
2008 |
Vengalattore,
M |
Spontaneously
Modulated Spin Textures in a Dipolar Spinor Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wei2008.Nat455.948 |
Nature |
455 |
948 |
2008 |
Weiler,
C |
Spontaneous
vortices in the formation of Bose–Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cha2008.PRL101.170404 |
Phys
Rev Lett |
101 |
170404 |
2008 |
Chang,
J. |
Formation
of Dispersive Shock Waves by Merging and Splitting Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2009 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wri2009.PRL102.030405 |
Phys Rev Lett |
102 |
030405 |
2009 |
Wright, K |
Sculpting the
Vortex State of a Spinor BEC |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sho2009.NatPhys5.193 |
Nature
Physics |
5 |
193 |
2009 |
Shomroni,
I. |
Evidence
for an oscillating soliton/vortex ring by density engineering of a
Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hen2009.PRA79.043618 |
Phys
Rev A |
79 |
043618 |
2009 |
Henn,
E |
Observation
of vortex formation in an oscillating trapped Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cla2009.PRL102.170401 |
Phys
Rev Lett |
102 |
170401 |
2009 |
Clade,
P |
Observation
of a 2D Bose Gas: From Thermal to Quasicondensate to Superfluid |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hen2009.PRL103.045301 |
Phys
Rev Lett |
103 |
045301 |
2009 |
Henn,
E |
Emergence
of Turbulence in an Oscillating Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lin2009.Nat462.628 |
Nature |
462 |
628 |
2009 |
Lin,
Y.-J. |
Synthetic
magnetic fields for ultracold neutral atoms |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Les2009.PRL103.250401 |
Phys
Rev Lett |
103 |
250401 |
2009 |
Leslie,
L |
Creation
and Detection of Skyrmions in a Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hel2009.TOP2.002 |
Topologica |
2 |
002 |
2009 |
Helmerson, K |
Vortices and
Persistent Currents: Rotating a Bose-Einstein Condensate Using Photons with
Orbital Angular Momentum |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2010 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wil2010.PRL104.050404 |
Phys Rev Lett |
104 |
050404 |
2010 |
Williams, R |
Observation of
Vortex Nucleation in a Rotating Two-Dimensional Lattice of Bose-Einstein
Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hen2010.JLTP158.435 |
J.
Low Temp Phys |
158 |
435 |
2010 |
Henn,
E |
Generation
of Vortices and Observation of Quantum Turbulence in an Oscillating
Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kuw2010.JPSJ79.034004 |
J
Phys Soc Japan |
79 |
034004 |
2010 |
Kuwamoto,
T. |
Dynamics
of Quadruply Quantized Vortices in 87Rb Bose-Einstein Condensates Confined in
Magnetic and Optical Traps |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Nee2010.PRL104.160401 |
Phys
Rev Lett |
104 |
160401 |
2010 |
Neely,
T |
Observation
of Vortex Dipoles in a Highly Oblate Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fre2010.Sci329.1182 |
Science |
329 |
1182 |
2010 |
Freilich, D |
Real-Time
Dynamics of Single Vortex Lines and Vortex Dipoles in a Bose-Einstein
Condensate. |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sem2010.PRA82.033616 |
Phys
Rev A |
82 |
033616 |
2010 |
Seman,
J.A. |
Three-vortex
configurations in trapped Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2011 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sem2011.JPCS264.012004 |
J Phys Conf
Series |
264 |
012004 |
2011 |
Seman, J. |
Turbulence in a
trapped Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ram2011.PRL106.130401 |
Phys
Rev Lett |
106 |
130401 |
2011 |
Ramanathan,
A. |
Superflow
in a Toroidal Bose-Einstein Condensate: An Atom Circuit with a Tuneable Weak
Link |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Shi2011.JPB44.075302 |
J
Phys B |
44 |
075302 |
2011 |
Shibayama,
H. |
Vortex
nucleation in Bose-Einstein condensates confined in a QUIC trap by
topological phase imprinting |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Che2011.PRL106.235304 |
Phys
Rev Lett |
106 |
235304 |
2011 |
Chen,
D. |
Quantum
Quench of an Atomic Mott Insulator |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bra2011.OptExp19.12984 |
Optics Express |
18 |
12984 |
2011 |
Brachman, J. |
Inducing
vortices in a Bose-Einstein condensate using holographically produced light
beams |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sem2011.LPL8.691 |
Laser Phys
Lett |
8 |
691 |
2011 |
Seman, J. |
Route to
turbulence in a trapped Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mid2011.PRA84.011605 |
Phys Rev A |
84 |
011605 |
2011 |
Middelkamp, S |
Guiding-center
dynamics of vortex dipoles in Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2012 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cho2012.PRL108.035301 |
Phys Rev Lett |
108 |
035301 |
2012 |
Choi, J. |
Observation of
topologically stable 2D skyrmions in an antiferromagnetic spinor
Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cho2012.NJP14.053013 |
New
J Phys |
14 |
053013 |
2012 |
Choi,
J. |
Imprinting
Skyrmion spin textures in spinor Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mou2012.PRA86.013629 |
Phys
Rev A |
86 |
013629 |
2012 |
Moulder,
S. |
Quantized
supercurrent decay in an annular Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Des2012.NatPhys8.645 |
Nature
Phys |
8 |
645 |
2012 |
Desbuquois,
R. |
Superfluid
behaviour of a two-dimensional Bose gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2013 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bea2013.PRL110.025301 |
Phys Rev Lett |
110 |
025301 |
2013 |
Beattie, S. |
Persistent
Currents in Spinor Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wri2013.PRL110.025302 |
Phys
Rev Lett |
110 |
025302 |
2013 |
Wright,
K. |
Driving
Phase Slips in a Superfluid Atom Circuit with a Rotating Weak Link |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wil2013.ARCAM1.261 |
Ann
Rev Cold At & Mol |
1 |
261 |
2013 |
Wilson,
K. |
Experimental
Methods for Generating Two-Dimensional Quantum Turbulence in Bose-Einstein
Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cho2013.PRL110.175302 |
Phys
Rev Lett |
110 |
175302 |
2013 |
Choi,
J. |
Observation
of Thermally Activated Vortex Pairs in a Quasi-2D Bose Gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Nav2013.PRL110.225301 |
Phys
Rev Lett |
110 |
225301 |
2013 |
Navarro,
R. |
Dynamics
of a Few Corotating Vortices in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mur2013.PRA88.053615 |
Phys
Rev A |
88 |
053615 |
2013 |
Murray,
N. |
Probing
the circulation of ring-shaped Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bec2013.NJP15.113028 |
New J Phys |
15 |
113028 |
2013 |
Becker, C. |
Inelastic
collisions of solitary waves in anisotropic Bose–Einstein condensates:
sling-shot events and expanding collision bubbles |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Nee2013.PRL111.235301 |
Phys Rev Lett |
111 |
235301 |
2013 |
Neely, T |
Characteristics
of Two-Dimensional Quantum Turbulence in a Compressible Superfluid |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cho2013.PRL111.245301 |
Phys
Rev Lett |
111 |
245301 |
2013 |
Choi,
J. |
Observation
of a Geometric Hall Effect in a Spinor Bose-Einstein Condensate with a
Skyrmion Spin Texture |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Roo2013.PRA88.063620 |
Phys
Rev A |
88 |
063620 |
2013 |
Rooney,
S |
Persistent-current
formation in a high-temperature Bose-Einstein condensate: An experimental
test for classical-field theory |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wri2013.PRA88.063633 |
Phys
Rev A |
88 |
063633 |
2013 |
Wright,
K. |
Threshold
for creating excitations in a stirred superfluid ring |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2014 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Seo2014.JKPS64.53 |
J Korean Phys
Soc |
64 |
53 |
2014 |
Seo, S. |
Free expansion
of quasi-2D Bose-Einstein condensates with quantized vortices |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ryu2014.NJP16.013046 |
New
J Phys |
16 |
013046 |
2014 |
Ryu,
C. |
Creation
of matter wave Bessel beams and observation of quantized circulation in a
Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ray2014.Nat505.657 |
Nature |
505 |
657 |
2014 |
Ray,
M. |
Observation
of Dirac monopoles in a synthetic magnetic field |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Eck2014.Nat506.200 |
Nature |
506 |
200 |
2014 |
Eckel,
S. |
Hysteresis
in a quantized superfluid 'atomtronic' circuit |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Law2014.PRA89.053606 |
Phys.
Rev. A |
89 |
053606 |
2014 |
Law,
K. |
Dynamic
and energetic stabilization of persistent currents in Bose-Einstein
condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2014.OL39.4271 |
Opt
Lett |
39 |
4271 |
2014 |
Schultz, J. |
A
Raman waveplate for spinor Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Jen2014.PRL113.045305 |
Phys Rev Lett |
113 |
045305 |
2014 |
Jendrzejewski,
F. |
Resistive Flow
in a Weakly Interacting Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ku2014.PRL113.065301 |
Phys Rev Lett |
113 |
065301 |
2014 |
Ku, M. |
Motion of a
Solitonic Vortex in the BEC-BCS Crossover |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Don2014.PRL113.065302 |
Phys
Rev Lett |
113 |
065302 |
2014 |
Donadello,
S. |
Observation
of Solitonic Vortices in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Eck2014.PRX4.031052 |
Phys
Rev X |
4 |
031052 |
2014 |
Eckel,
S. |
Interferometric
Measurement of the Current-Phase Relationship of a Superfluid Weak Link |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cor2014.PRL113.135302 |
Phys
Rev Lett |
113 |
135302 |
2014 |
Corman,
L. |
Quench-Induced
Supercurrents in an Annular Bose Gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kwo2014.PRA90.063627 |
Phys Rev A |
90 |
063627 |
2014 |
Kwon, W. |
Relaxation of
superfluid turbulence in highly oblate Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2015 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kan2015.PRA91.013603 |
Phys Rev A |
91 |
013603 |
2015 |
Kang, S. |
Rotating a
Bose-Einstein condensate by shaking an anharmonic axisymmetric magnetic
potential |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cho2015.NatComm6.6162 |
Nature
Comm |
6 |
6162 |
2015 |
Chomaz,
L. |
Emergence
of coherence via transverse condensation in a uniform quasi-two-dimensional
Bose gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Wil2015.PRA91.023621 |
Phys Rev A |
91 |
023621 |
2015 |
Wilson, K. |
In situ
imaging of vortices in Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Yuk2015.JLTP180.53 |
J Low Temp
Phys |
180 |
53 |
2015 |
Yukalov, V. |
Strongly
Nonequilibrium Bose-Condensed Atomic Systems |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Tyl2015.EPJST224.577 |
Eur Phys J
Special Topics |
224 |
577 |
2015 |
Tylutki, M. |
Solitonic
vortices in Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ray2015.Sci348.544 |
Science |
348 |
544 |
2015 |
Ray,
M. |
Observation
of isolated monopoles in a quantum field |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kwo2015.PRA91.053615 |
Phys
Rev A |
91 |
053615 |
2015 |
Kwon,
W. |
Critical
velocity for vortex shedding in a Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Leb2015.NJP17.065016 |
New
J Phys |
17 |
065016 |
2015 |
LeBlanc,
L. |
Gauge
matters: observing the vortex-nucleation transition in a Bose condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Seo2015.PRL115.015301 |
Phys
Rev Lett |
115 |
015301 |
2015 |
Seo,
S. |
Half-Quantum
Vortices in an Anti-Ferromagnetic Spinor Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mat2015.PRA92.033602 |
Phys Rev Lett |
92 |
033602 |
2015 |
Matthew, R. |
Self-heterodyne
detection of the in situ phase
of an atomic superconducting quantum interference device |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ser2015.PRL115.170402 |
Phys Rev Lett |
115 |
170402 |
2015 |
Serafini, S. |
Dynamics
and Interaction of Vortex Lines in an Elongated Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2016 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hal2016.NatPhys12.478 |
Nat Phys |
12 |
478 |
2016 |
Hall, D. |
Tying quantum knots |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ku2016.PRL116.045304 |
Phys Rev Lett |
116 |
045304 |
2016 |
Ku, M. |
Cascade of
Solitonic Excitations in a Superfluid Fermi gas: From Planar Solitons to
Vortex Rings and Lines |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kum2015.NJP18.025001 |
New
J Phys |
18 |
025001 |
2015 |
Kumar,
A. |
Minimally
destructive, Doppler measurement of a quantized flow in a ring-shaped
Bose–Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2016.JMO63.1759 |
J
Mod Opt |
63 |
1759 |
2016 |
Schultz,
J. |
Raman
fingerprints on the Bloch sphere of a spinor Bose–Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Han2016.Optica3.355 |
Optica |
3 |
355 |
2016 |
Hansen,
A |
Singular
atom optics with spinor Bose–Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Shi2016.JPSJ85.054401 |
J
Phys Soc Japan |
85 |
054401 |
2016 |
Shibayama,
H. |
Density
Dependence of Charge-4 Vortex Splitting in Bose–Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Seo2016.PRL2016.185301 |
Phys
Rev Lett |
116 |
185301 |
2016 |
Seo,
S. |
Collisional
Dynamics of Half-Quantum Vortices in a Spinor Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sch2016.JO18.064009 |
J
Opt |
18 |
064009 |
2016 |
Schultz,
J. |
Creating
full-Bloch Bose–Einstein condensates with Raman q-plates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Don2016.PRA94.023628 |
Phys
Rev A |
94 |
023628 |
2016 |
Donadello,
S. |
Creation
and counting of defects in a temperature-quenched Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kim2016.PRA94.033612 |
Phys Rev A |
94 |
033612 |
2016 |
Kim, J. |
Role of
thermal friction in relaxation of turbulent Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Yao2016.PRL117.145301 |
Phys
Rev Lett |
117 |
145301 |
2016 |
Yao,
X.-C. |
Observation
of Coupled Vortex Lattices in a Mass-Imbalance Bose and Fermi Superfluid
Mixture |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pri2016.NJP18.113009 |
New
J Phys |
18 |
113009 |
2016 |
Price,
R. |
Vortex
nucleation in a Bose–Einstein condensate: from the inside out |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kwo2016.PRL117.245301 |
Phys
Rev Lett |
117 |
245301 |
2016 |
Kwon,
W. |
Observation
of von K‡rm‡n Vortex Street in an Atomic Superfluid Gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2017 |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kum2017.PRA95.021602 |
Phys Rev A |
95 |
021602 |
2017 |
Kumar, A. |
Temperature-induced
decay of persistent currents in a superfluid ultracold gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sin2017.PRA95.043631 |
Phys
Rev A |
95 |
043631 |
2017 |
Singh,
V. |
Superfluidity
and relaxation dynamics of a laser-stirred two-dimensional Bose gas |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ser2017.PRX7.021031 |
Phys
Rev X |
7 |
021031 |
2017 |
Serafini,
S. |
Vortex
Reconnections and Rebounds in Trapped Atomic Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kan2017.PRA95.053638 |
Phys Rev A |
95 |
053638 |
2017 |
Kang, S. |
Emergence and
scaling of spin turbulence in quenched antiferromagnetic spinor Bose-Einstein
condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kim2017.PRL119.185302 |
Phys
Rev Lett |
119 |
185302 |
2017 |
Kim,
J. |
Critical
Spin Superflow in a Spinor Bose-Einstein Condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Bis2017.PRA96.053605 |
Phys
Rev A |
96 |
053605 |
2017 |
Bisset,
R. |
Observation
of a spinning top in a Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Aid2017.PRL119.190403 |
Phys Rev Lett |
119 |
190403 |
2017 |
Aidelsburger, M. |
Relaxation
Dynamics in the Merging of N Independent Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
BECVortex website |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Citation Key |
website |
|
|
|
first author |
Title |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
And.BEC.vortex |
www.becvortex.com |
|
|
|
Anderson,
B. P. |
The
BEC Vortex Project |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Superfluidity articles |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Citation Key |
journal |
vol |
page |
year |
first author |
Title |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kap1938.Nat141.74 |
Nature |
141 |
74 |
1938 |
Kapitza,
P. |
Viscosity
of Liquid Helium below the l-Point |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
All1938.Nat141.75 |
Nature |
141 |
75 |
1938 |
Allen,
J. F. |
Flow
of Liquid Helium II |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Gor1949.NCim6Sup2.245 |
Il
Nuovo Cimento |
6,
S2 |
245 |
1949 |
Gorter,
C.J. |
The
two fluid model for Helium II
[see remarks by L. Onsager on pp. 249-250] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ons1949.NCim6Sup2.279 |
Il
Nuovo Cimento |
6,
S2 |
279 |
1949 |
Onsager,
L. |
Statistical
Hydrodynamics [see footnote on p.
281] |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Lon1948.PR74.562 |
Phys
Rev |
74 |
562 |
1948 |
London,
F. |
On
the Problem of the Molecular Theory of Superconductivity |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fey1955.PLTP1.17 |
Prog
Low Temp Phys |
1 |
17 |
1955 |
Feynman,
R. P. |
Application
of Quantum Mechanics to Liquid Helium |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hal1956.PRSA238.204 |
Proc.
R. Soc. A |
238 |
204 |
1956 |
Hall,
H. E. |
The
Rotation of Liquid Helium II. I. Experiments on the Propagation of Second
Sound in Uniformly Rotating Helium II |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Vin1961.PRSA260.218 |
Proc.
R. Soc. A |
260 |
218 |
1961 |
Vinen,
W. F. |
The
Detection of Single Quanta of Circulation in Liquid Helium II |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
BEC reviews |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Citation Key |
journal |
vol |
page |
year |
first author |
Title |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Dal1999.RMP71.463 |
Rev
Mod Phys |
71 |
463 |
1999 |
Dalfovo,
F. |
Theory
of Bose-Einstein condensation in trapped gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Leg2001.RMP73.307 |
Rev
Mod Phys |
73 |
307 |
2001 |
Leggett,
A. |
Bose-Einstein
condensation in the alkali gases: Some fundamental concepts |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cor2002.RMP74.875 |
Rev
Mod Phys |
74 |
875 |
2002 |
Cornell,
E. |
Nobel
Lecture: Bose-Einstein condensation in a dilute gas, the first 70 years and
some recent experiments |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ket2002.RMP74.1131 |
Rev
Mod Phys |
74 |
1131 |
2002 |
Ketterle,
W. |
Nobel
lecture: When atoms behave as waves: Bose-Einstein condensation and the atom
laser |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Hal2003.AJP71.649 |
Am
J Phys |
71 |
649 |
2003 |
Hall,
D. |
Resource
Letter 1: BEC-1: Bose-Einstein condensates in trapped dilute gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
BEC vortex review articles |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Citation Key |
journal |
vol |
page |
year |
first author |
Title |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fet2001.JPCM13.R135 |
J
Phys: Condens. Matt. |
13 |
R135 |
2001 |
Fetter,
A. |
Vortices
in a trapped dilute Bose-Einstein condensate |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kev2004.MPLB18.1481 |
Mod
Phys Lett B |
18 |
1481 |
2004 |
Kevrekidis,
P. |
Vortices
in Bose-Einstein condensates: some recent developments |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sri2006.Pramana66.3 |
Pramana
– J. Phys |
66 |
307 |
2006 |
Srinivasan,
R. |
Vortices
in Bose-Einstein condensates: A review of the experimental results |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fet2009.RMP81.647 |
Rev
Mod Phys |
81 |
647 |
2009 |
Fetter,
A. |
Rotating
trapped Bose-Einstein condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Fet2010.JLTP161.445 |
J. Low Temp
Phys |
161 |
445 |
2010 |
Fetter, A. |
Vortices and
Dynamics in Trapped Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
And2010.JLTP161.574 |
J.
Low Temp Phys |
161 |
574 |
2010 |
Anderson,
B. P. |
Resource
Article: Experiments with Vortices in Superfluid Atomic Gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Beu2017.JPB50.022002 |
J.
Phys B |
50 |
022002 |
2017 |
Beugnon,
J. |
Exploring
the Kibble–Zurek mechanism with homogeneous Bose gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Books (links not provided) |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Citation Key |
Publisher |
|
|
year |
first author /
editor |
Title |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Don1991.Vortices.book |
Cambridge
Univ. Press |
|
|
1991 |
Donnelly,
R. J. |
Quantized
Vortices in Helium II |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Gri1996.Bose.book |
Cambridge
Univ. Press |
|
|
1996 |
Griffin,
A. |
Bose-Einstein
Condensation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Met1999.Laser.book |
Springer-Verlag |
|
|
1999 |
Metcalf,
H. J. |
Laser
Cooling and Trapping |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ing1999.Bose.book |
IOS
Press |
|
|
1999 |
Inguscio,
M. |
Bose-Einstein
Condensation in Atomic Gases.
Proceedings of the International School of Physics, ``Enrico Fermi'',
Vol. CXL |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Mey2001.Atom.book |
Springer-Verlag |
|
|
2001 |
Meystre,
P. |
Atom
Optics |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pit2003.Bose.book |
Springer |
|
|
2003 |
Pitaevskii,
L. |
Bose-Einstein
Condensation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Kev2008.Emergent.book |
Springer |
|
|
2008 |
Kevrekidis,
P. |
Emergent
Nonlinear Phenomena in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Aft2006.Vortices.book |
Birkhauser |
|
|
2006 |
Aftalion,
A. |
Vortices
in Bose-Einstein Condensates |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ing2008.Fermi.book |
IOS
Press |
|
|
2008 |
Inguscio,
M. |
Ultra-Cold
Fermi Gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pet2008.Bose.book |
Cambridge
Univ. Press |
|
|
2008 |
Pethick,
C. J. |
Bose-Eisntein
Condensation in Dilute Gases |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Sto2009.Ultracold.book |
Springer |
|
|
2009 |
Stoof,
H. T. C. |
Ultracold
Quantum Fields |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Ued2010.Fundamentals.book |
World
Scientific |
|
|
2010 |
Ueda,
M. |
Fundamentals
and New Frontiers of Bose-Einstein Condensation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pro2013.Quantum.book |
Imperial
College Press |
|
|
2013 |
Proukakis,
N. |
Quantum
Gases: Finite Temperature and Non-Equilibrium Dynamics |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Pro2017.Universal.book |
Cambridge
Univ. Press |
|
|
2017 |
Proukakis, N. |
Universal
Themes of Bose-Einstein Condensation |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
end of list |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|