ZF-DUOPLAN 2K800 User manual

OPERATING INSTRUCTIONS
Two-speed Gearbox
2K800 / 2K801 / 2K802
10.2006 Edition
4161 758 103g

2K800/2K801/2K802
2
NOTE
These operating instructions also apply to the predecessor model 2K50.
Subject to alterations in design
Copyright by ZF
Reproduction, in whole or in part, is only allowed with our written approval and authorization.
Printed in Germany
Edition 10.2006
4161 758 103g

Operating Instructions
2K800/2K801/2K802 Contents
3
1
Preface.....................................................................................................................................................5
1.1
Safety instructions .........................................................................................................................5
1.2
ZF instructions ...............................................................................................................................5
1.3
Service products.............................................................................................................................6
2
Application and Design..........................................................................................................................7
2.1
Application ....................................................................................................................................7
2.2
Features..........................................................................................................................................7
2.3
Design ............................................................................................................................................8
2.4
Technical data................................................................................................................................9
2.5
Installation positions....................................................................................................................10
3
Initial Installation.................................................................................................................................11
3.1
Axial runout, radial runout and length tolerances – drive motor.................................................11
3.2
Balancing .....................................................................................................................................12
3.2.1
Semi-key balancing......................................................................................................................12
3.2.2
Full-key balancing .......................................................................................................................12
3.3
Adaptation, motor/gearbox ..........................................................................................................13
3.3.1
Open design .................................................................................................................................13
3.3.2
Close design (with shaft sealing ring)..........................................................................................14
3.3.3
Open design with adapter ring for 2K800 and 2K801.................................................................15
3.3.4
Open design with adapter ring for 2K802....................................................................................15
3.4
Gearbox - fit.................................................................................................................................16
3.5
Output ..........................................................................................................................................17
3.5.1
Version with belt output ..............................................................................................................17
3.5.2
Version with coaxial output.........................................................................................................17
3.6
Electrical connection, gearchange ...............................................................................................17
3.6.1
Switching unit with solenoid unit ................................................................................................17
3.6.2
Switching unit with servo-motor .................................................................................................19
3.6.3
Switching logic for switching unit with solenoid unit .................................................................21
3.6.4
Switching logic for switching unit with solenoid unit and centre position..................................22
3.6.5
Switching logic for switching unit with servo-motor ..................................................................23
3.6.6
Switching logic for switching unit with servo-motor and centre position...................................24
3.7
Lubrication...................................................................................................................................25
3.7.1
Recirculating lubrication..............................................................................................................25
3.7.2
Ports and connections for recirculating lubrication .....................................................................27
3.7.3
Gearbox oil pump (option) ..........................................................................................................28
3.7.4
Heat exchanger (option)...............................................................................................................30
4
Taking into Operation .........................................................................................................................32
4.1
Initial inspection ..........................................................................................................................32

Operating Instructions
Contents 2K800/2K801/2K802
4
5
Maintenance..........................................................................................................................................32
5.1
Oil change ....................................................................................................................................32
6
Repair ....................................................................................................................................................33
6.1
Gearbox fault checklist ................................................................................................................33
6.2
Gearbox - disassemble .................................................................................................................34
6.3
Hub...............................................................................................................................................34
7
Frequently Asked Questions (FAQ) ...................................................................................................35

Operating Instructions
2K800/2K801/2K802 Preface
5
1Preface
This documentation is intended for specialists who
have experience to carry out maintenance and re-
pair work.
The ZF product is documented in accordance with
the design status as of the issue date.
The following safety notices are used in these op-
erating instructions:
NOTE
Used to highlight special sequences, methods, in-
formation, etc.
CAUTION
Used when incorrect and improper operating
procedures can cause damage to the product.
DANGER!
Used when due lack of care and attention
can cause injury to personnel and/or
damage to property.
ENVIRONMENTAL HAZARDS!
Lubricants and cleaning products must
not be poured onto the ground, into
groundwater or down the drain.
• Obtain and comply with the safety
regulations relevant to these products
issued by your local environmental au-
thority.
• Collect used oil in a suitably large con-
tainer.
• Dispose of used oil, clogged filters, lu-
bricants and cleaning products in ac-
cordance with local environmental
protection regulations.
• Always follow the instructions issued
by the manufacturer when handling
lubricants and cleaning products.
1.1 Safety instructions
•All persons repairing ZF units are responsible
for their own work safety.
•Every applicable safety regulation and legal
requirement must be complied with in order to
prevent injury to personnel and/or damage to
the product during the course of maintenance
and repair work.
•Repair staff should familiarize themselves with
these regulations before commencing work.
•Correct and proper repair of these ZF products
can only be assured by appropriately trained
specialists.
•The organization in charge of repairs is respon-
sible for ensuring that such training is given.
•Read these operating instructions carefully be-
fore commencing any testing or repair work.
CAUTION
Pictures, drawings and components do not al-
ways represent the original object but are used
to illustrate working procedures.
The illustrations, diagrams and parts are not
drawn to scale and no assumptions should be
made regarding size and weight (including
within a single illustration or drawing).
Work must be performed as described in the
text.
Following the completion of repair work and test-
ing, the specialists must satisfy themselves that the
product will function perfectly again.
1.2 ZF instructions
•Remove any traces of old seals or gaskets from
mating faces. Use an oil stone to carefully re-
move any burrs or similar irregularities.
•Carefully cover or shield open gearboxes to
prevent the ingress of foreign matter.
!
!

Operating Instructions
Preface 2K800/2K801/2K802
6
1.3 Service products
Product Name/specification Quantity
(approx.)
[dm3]
Use Remarks
Grease
Shell Avania WR2
Fuchs Renolit CXEP2
Esso Beacon EP2
General-purpose
Gearbox oil
HLP 46 to ISO VG 46
Gearbox oil for
recirculating
lubrication
Can also be used for
recirculating lubrication
with heat exchanger
Gearbox oil
HLP 32 to ISO VG 32
Gearbox oil for
recirculating
lubrication with
heat exchanger

Operating Instructions
2K800/2K801/2K802 Application and Design
7
2Application and Design
2.1 Application
The ZF-DUOPLAN two-speed gearbox is mainly
used in machine tool drives.
By way of example, the gearbox can be used in
turning machines (horizontal B5) or machining
centers (vertical V1) thanks to its variable installa-
tion position. The gearbox is also suitable for use
in many systems in which torque increase or
speed reduction is required.
The gearboxes have coaxial output and are suit-
able for the high speeds generated in machine tool
construction.
2.2 Features
•Two-speed gearboxes for AC and DC main
spindle drives in machine tools
•Compact thanks to planetary design
•Flange-mountable to all AC, DC and standard
motors
•High running smoothness and low-noise
operation thanks to helical gearing
•Low torsional backlash
•Easy to install
•High radial forces permitted on output end
•Combined axial and radial force thanks to
flexible output bearings
•High efficiency
•Electromagnetic or electromechanical gear
switching (depends on the version)

Operating Instructions
Application and Design 2K800/2K801/2K802
8
2.3 Design
The gearbox primarily comprises the following
assemblies:
Connecting parts
•Drive hub (1)
•Adapter plate (2) with radial shaft seal (3) and
hub bearings (4), as necessary
Housing
•Gearbox housing (5)
Input
•Sun gear (6)
•Ring gear (7)
•Ring gear bearings (8)
Output
•Bearing housing (9)
•Output bearings (10, 11)
•Output shaft (12)
•Radial shaft seal (13)
•Planet carrier (14)
•Axial bearing (15)
Shift mechanism
•Sliding sleeve (16)
•Shift fork (17)
•Brake disc (18)
Shift unit
•With servo-motor or solenoid unit (19)
027933

Operating Instructions
2K800/2K801/2K802 Application and Design
9
2.4 Technical data
Typ 2K800
2K801/802
Standard
version
2K800
2K801/802
with STW
(i=1.236)
Nominal power max. 84 kW max. 84 kW
Nominal speed 1000 rpm 1000 rpm
Max. speed
in direct drive i=1
5000 rpm
5000 rpm
NOTE
When using engine brakes/counterflow to brake
the spindles (e.g. emergency stop) ensure that the
moments of inertia do not exceed the admissible
output torques. Braking times must be adapted
accordingly.
Standard fixing dimension (in mm)
in accordance with EN 50347: 2001
Two-speed
gearbox
2K800
FF350
2K801
FF400
2K802
FF500
Motor size 180 200 225
h 180 200 225
d 60 65 75
l 140±0.2 140±0.2 140±0.2
b 300 350 450
e2350 400 500
a1400 450 550
s24x18.5 8x18.5 8x18.5
Type 2K800
2K801/802
Standard
version
2K800
2K801/802
with STW
(i=1.236)
Nominal input
torque (S1)
max. 800 Nm max. 800 Nm
Max. output
torque (S1) for
i = 1.00
i = 3.19
i = 4.00
800 Nm
2552 Nm
3200 Nm
989 Nm
3154 Nm
3955 Nm
Weight approx. 110 kg approx. 325 kg
Model plate (standard)
(affixed to gearbox housing)

Operating Instructions
Application and Design 2K800/2K801/2K802
10
2.5 Installation positions
Horizontal B5
Horizontal B5
(shift unit rotated)
Vertical V1
Vertical V3
CAUTION
The breather outlet must always be at the top,
regardless of the installation position.
027929

Operating Instructions
2K800/2K801/2K802 Initial Installation
11
3Initial Installation
3.1 Axial runout, radial runout and length
tolerances – drive motor
In order to guarantee fault-free operation, the mo-
tor must not exceed the specified tolerances.
Axial runout, radial runout and length tolerances –
electric motor mounting flange:
Tolerance
Gearbox
type A B C L=140
2K800 /
2K801
0.030 0.063 0.063 ±0.200
A B C L=140
2K802 0.030 0.063 0.063 ±0.200
Tolerances A, B, C to DIN 42955R
Please note that the tolerance of the shaft length "L" is
restricted in relation to the DIN standard
CAUTION
The special tolerance for shaft length "L" must
be maintained in order to guarantee fault-free
gearbox operation. Undersize shafts must be
compensated for by using shims when mount-
ing to the motor. Oversize shafts must be ma-
chined to the correct length.
Take into account the motor shaft elongation
caused by heating in motors with fixed bearing on
the B-side (opposite the motor output shaft).
ABC
L
001064

Operating Instructions
Initial Installation 2K800/2K801/2K802
12
Semi-key balancing Full-key balancing
3.2 Balancing
The hubs (2) come with a keyway (1) for trans-
mitting power from the motor shaft (3) as stan-
dard.
There are two balancing types for the motor and
gearbox: Semi-key and full-key, which are de-
scribed in more detail in DIN ISO 8821.
It must be ensured that the hub is balanced in the
same way as the motor.
This is why it is very important to indicate the
motor data, dimensions and balancing type when
ordering.
Motor output shafts with standard fitted key
in accordance with EN 50347: 2001
Gearbox
type
Shaft diameter Fitted
key
Fitted key
length
2K800
2K801
2K802
60 mm
65 mm
75 mm
80 mm
A18x11
A18x11
A20x12
A22x14
110 mm
110 mm
125 mm
140 mm
3.2.1 Semi-key balancing
In semi-key balancing, the keyway is filled with a
balance compensation corresponding to approxi-
mately half a key, shape B by default. This is
based on the original key, shape, length and posi-
tion used by the motor manufacturer and is de-
fined as a counterweight. In semi-key balancing –
in contrast to full-key balancing – the joint passes
through a shared component. This means imbal-
ance can arise after assembly due to tolerance
factors.
As a result, it is recommended that rebalancing
should be performed after the joined parts have
been assembled.
3.2.2 Full-key balancing
In full-key balancing, the motor shaft is balanced
with a full key whereas the hub is not. The key,
shape, length and position are not important in
this case.
1
2
3

Operating Instructions
2K800/2K801/2K802 Initial Installation
13
3.3 Adaptation, motor/gearbox
The motors must have a flange-mounting option
for mounting the gearboxes.
The gearbox housing is fitted to the motor by
means of the centering adapter on the bearing
housing. This is standard.
Different gearbox variants are used depending on
the motor type. Gearbox mounting also differs
accordingly.
Reference dimensions for hub position
Gearbox type For output
shaft length
Dimension C
in mm
140 82.3 –0.2
140 148.3 –0.2
2K800
2K801
2K802
170 182.3 –0.2
CAUTION
Dimension C on request in the case of motors
with fixed bearing on the B-side.
Spacer discs are supplied with shims of varying
thickness. These enable balancing of the motor
shaft length tolerances and, therefore, compliance
with reference dimension "C".
3.3.1 Open design
The open version is the gearbox without adapter
plate but with seal on the motor output shaft (2) to
prevent gearbox oil ingress.
The drive hub (1) is delivered loose with the gear-
box. Clean the fitting surfaces of the motor (3)
and drive hub. Check the motor shaft for axial and
radial runout as described in section 3.1. Also
lightly grease the motor shaft.
After cleaning the fitting surfaces, heat the drive
hub to approx 120 °C from the opening and slide
it onto the motor shaft until it reaches the stop.
Then check reference dimension "C". If undersize,
use shims for balancing. If oversize, shorten the
motor shaft.
CAUTION
Risk of motor shaft damage if the hub is not
sufficiently heated.
Tighten the threaded pin (9) and secure it to pre-
vent it from turning, see section 3.4.

Operating Instructions
Initial Installation 2K800/2K801/2K802
14
3.3.2 Close design (with shaft sealing ring)
This variant incorporates an adapter plate (5) with
shaft seal (7), which means that the gearbox forms
a compact, closed unit.
The adapter plate (5) and drive hub (1) are sepa-
rately delivered loose. Clean the fitting surfaces of
the motor (3) and drive hub. Check the motor
shaft (2) for axial and radial runout as described in
section 3.1. Also lightly grease the motor shaft
(2).
After cleaning the fitting surfaces, place the
adapter plate with radial shaft seal (7) onto the
motor housing. Heat the drive hub to approx
120 °C from the opening and slide it onto the
motor shaft until it reaches the stop.
Then check reference dimension "C" and change
using shims if necessary.
CAUTION
Risk of motor shaft damage if the hub is not
sufficiently heated.
Tighten the threaded pin (9) and secure it to pre-
vent it from turning, see section 3.4.
CAUTION
Thoroughly grease the radial shaft seal and the
drive hub before installation. When installing,
make sure that the sealing lip and the radial
shaft seal are in the correct position.
NOTE
The radial shaft sealing ring in the drive motor
must be removed on the output end when the
closed design is used.

Operating Instructions
2K800/2K801/2K802 Initial Installation
15
3.3.3 Open design with adapter ring for
2K800 and 2K801
The adapter ring allows adaptation to different
connection dimensions. A seal is required on the
motor output shaft.
The adapter ring (5) and drive hub (1) are deliv-
ered loose. Clean the fitting surfaces of the motor
(3) and drive hub (1). Check the motor shaft (2)
for axial and radial runout as described in section
3.1. Also lightly grease the motor shaft.
After cleaning the fitting surfaces, place the
adapter ring onto the motor housing. Then heat
the drive hub to approx 120 °C from the opening
and slide it onto the motor shaft (2) until it
reaches the stop.
Then check reference dimension "C" and change
using shims if necessary.
CAUTION
Risk of motor shaft damage if the hub is not
sufficiently heated.
Tighten the threaded pin (9) and secure it to pre-
vent it from turning, see section 3.4.
3.3.4 Open design with adapter ring for
2K802
The adapter ring allows adaptation to different
connection dimensions. A seal is required on the
motor output shaft.
The adapter ring (5) and drive hub (1) are deliv-
ered loose. Clean the fitting surfaces of the motor
(3) and drive hub (1). Check the motor shaft (2)
for axial and radial runout as described in section
3.1. Also lightly grease the motor shaft (2).
After cleaning the fitting surfaces, place the
adapter ring onto the motor housing. Then heat
the drive hub to approx 120 °C from the opening
and slide it onto the motor shaft (2) until it
reaches the stop.
Then check reference dimension "C" and change
using shims if necessary.

Operating Instructions
Initial Installation 2K800/2K801/2K802
16
CAUTION
Risk of motor shaft damage if the hub is not
sufficiently heated.
Tighten the threaded pin (9) and secure it to pre-
vent it from turning, see section 3.4.
3.4 Gearbox - fit
NOTE
When fitting the drive hub (1), screw in and
tighten the threaded pin (9) onto the fitted key.
Make sure you coat the threaded pin with liquid
seal before installing it.
Make sure that the O-ring (10) is in the correct
position during installation. The O-ring is deliv-
ered loose with the gearbox and has to be coated
with grease before being inserted into the seal
groove in the housing (6).
Check the position of the gearbox shift mecha-
nism. The sliding sleeve must be in the 1st gear
position ("low" gear ratio).
Take up the gearbox and place it onto the motor
flange. Carefully bring the sun gear/hub connec-
tion together when doing this.
NOTE
The external spline of the sun gear must be guided
into the internal spline of the hub.
This can be made easier by turning to the left or
right at the gearbox output.
The gearbox housing, adapter ring (if applicable)
and motor are bolted together using four, six or
eight hexagon bolts (11).
Fill the gearbox with oil and connect up the recir-
culating lubrication system and the power supply.
The breather outlet must always be at the top,
regardless of the installation position. Tighten by
max. 1 turn if necessary.
The gearbox is now ready for use.
1st gear position
ABrake disc
BSliding sleeve
CAUTION
The gearboxes can be operated under the same
degrees of protection as those defined for AC
and DC motors.
When setting up, make sure that the motor cooling
air can flow in and out unhindered.
NOTE
Before taking the electric motor/gearbox assembly
into operation, check that the gearbox output can
be turned by hand.
In the case of drive units that are fixed on the
gearbox flange, support the motor on the B-side
so that it does not vibrate.
027928

Operating Instructions
2K800/2K801/2K802 Initial Installation
17
3.5 Output
3.5.1 Version with belt output
The belt pulley must be centered on the outer
diameter of the output flange (tolerance K6), fas-
tened with the bolts so that it is frictionally en-
gaged and secured. Comply with the specified
tightening torques.
The belt pulley should be balanced to quality 6.3
as per VDI Directive 2060 in order to ensure low-
vibration operation.
CAUTION
Note the maximum specified tensioning force
when tightening the belts in order to prevent
bearing overload. The average belt force must
be between the bearings. When assembling, it
must be possible to easily slide the belt pulley
onto the output shaft. Heat the belt pulley if
necessary.
3.5.2 Version with coaxial output
In the case of the version with coaxial output
(shaft stub), also note the balancing type for the
output (see section 3.2). The gearbox is delivered
with full-key balancing.
Refer to the installation drawing for the fitted key
dimensions. Always fix the fitted keys using
threaded pins.
3.6 Electrical connection, gearchange
The gearbox is electrically connected using the
supplied 8-pole Harting connector (HAN 8 U).
The plug-in connection is located on the shift unit.
3.6.1 Switching unit with solenoid unit
Technical data:
Power rating
Standard 120 W
with neutral position 144 W
Supply voltage 24 V DC ± 10%
Current consumption
Standard 5 A
with neutral position 6.0 A
The required cable lead diameter is 1.5 mm².
The 24 VDC connection voltage and 5/6 A power
consumption must be assured at the solenoid plug.
Losses due to cable length and transition resistors
must be taken into account.
If switching the solenoid by relay, we recommend
you use a varistor, e.g. Siemens type S14-30
(30 V), to connect to the 24 V voltage, pin 2 and
pin 3.
Scope of supply:
Sleeve housing, screw connection, socket insert
and 8 jacks, type Harting AWG16
(ZF order no. 4161 298 004).
The shift unit can only be obtained as a complete
part.
Gearbox shift mechanism:
Gearchanges are effected when the 24 V voltage
is applied to pin 2 and 3. The polarity of the ap-
plied voltage dictates which gear is engaged.
Solenoid L3 is always energized when the voltage
is applied, regardless of the polarity. It releases
the gear lock-out device before the gearchange is
effected.

Operating Instructions
Initial Installation 2K800/2K801/2K802
18
During the gearchange, the main spindle motor
should make the shaft oscillate +5° at a rate of
1 to 5 rotation direction changes per second. The
limit switch signals from S1 (contact 4) and S2
(contact 6) serve to shut off the solenoid once the
gearchange is complete.
CAUTION
The solenoid must remain energized for a fur-
ther 0.5 to 1.0 seconds once the limit switch
signals are reached. The limit switch signals
must be monitored during the operating time.
The limit switches must only be energized with
the control current (0,1 - 0.5 A) and not with
the changeover current (6 A).
If the number of resisters rather small, also a
lower control current can be used.
The control current for end-position monitor-
ing is to be set according to length, line and
transition resistance and the number of con-
nection points. Increased resistance due to cor-
rosion after some time must be taken into con-
sideration. Switching of inductive loads by
means of the control current requires it to be
wired parallel to the load by a diode.
If the limit switches detect that a gear is no
longer securely engaged, steps such as emer-
gency shut-off etc. must be initiated through
the control system.
NOTE
Electromagnetic fields can falsify the limit posi-
tion monitoring currents. This can be prevented
by re-routing or shielding the line.
The shift sequence must be monitored. If neces-
sary, a timer should be used to cancel the shift
sequence after approx. 2 seconds if there is no
limit switch signal (S1/S2). The main spindle
motor can not be operated until this signal is pre-
sent.
Circuit diagram for switchgear unit with sole-
noid unit and two switch positions (standard)
or three switch positions (with neutral posi-
tion):
1st gear ==> e.g. 4:1
2nd gear ==> 1:1
3rd gear ==> Neutral position, idling
(option)
Solenoid L1 Shift to 1st gear
Solenoid L2 Shift to 2nd gear
Solenoid L3 Release of lock-out device before
gearchange
Solenoid L4 Shift to neutral position (option)
Solenoid L4 must be energized for shifts from 1st
gear to 2nd gear and vice versa. Solenoid L4 is
de-energized in the case of shifts to neutral.
NOTE
Neutral can only be engaged from 1st gear.
Immediately shut off the power at L1 or L2 as
soon as limit switch S3 receives the signal.

Operating Instructions
2K800/2K801/2K802 Initial Installation
19
3.6.2 Switching unit with servo-motor
Specifications:
Power rating 85W
Supply voltage 24V DC ± 10%
Current consumption 5A
(max. starting current)
A supply cable cross-section of 1.5 mm² is re-
quired.
The gear switching unit’s plug must be connected
up to the 24V DC supply voltage and the 5A cur-
rent consumption circuit.
Cable length and transfer resistance losses must
be taken into consideration.
We recommend using a varistor, e.g. Siemens
S14-30 (30V), for the 24V connections to Pin 2
and Pin 3 if you are using relays to switch the
switching unit.
Package contains:
Grommets, screws, socket unit and 8 Harting
AWG16 contact sockets,
(ZF Order-No. 4161 298 004).
The switching unit is only available as a complete
unit.
Gear switching:
The main spindle motor must undergo an oscillat-
ing movement at an angle of ± 5° with 1 - 5 rota-
tional direction changes per second whilst switch-
ing gear levels. However, the gear’s switching
gear-teeth normally mesh together during the first
rotational direction change. This means that the
actual switching time is approx. 300 - 400 ms.
The mechanical gearing level switching is carried
out by a switching unit on the gear that is driven
by a DC motor (24V DC) or a solenoid unit.
The gear switching components (axial movement,
toothed sliding collar) are positive locking com-
ponents.
The switching positions are monitored by stop
switches inside the switching unit. A time relay
has been provided for monitoring the time lapse
that, if necessary, will reset the process if the
switching process has not been completed within
2 seconds after the switching process started (i.e.
if a signal has not been received from stop switch
S1 or S2). A new switching process must be initi-
ated afterwards. A time limit of 10 seconds has
been implemented for approx. 4 - 5 further
switching attempts. The system must be checked
out if the gearing has not switched over within
this time. Check the oscillating movement angle
and number of rotational direction changes and in
the majority of cases a smaller value must be set
and the switching process can be repeated after-
wards. (The gearing level switching sequence plan
can be found in Chapters 3.6.3 / 3.6.4 / 3.6.5 /
3.6.6).
CAUTION
The stop switch signal must always be moni-
tored whilst the system is running.
The stop switch must be supplied with control
current (max. 0.5A) only and not with the
switching current (5A).
The switching sequence must be monitored and
the switching process must be reset by a timing
relay after approx. 2 seconds, if necessary, if the
stop switch does not generate a signal (S1/S2).
The main spindle motor must not be released by
the new switching command afterwards.

Operating Instructions
Initial Installation 2K800/2K801/2K802
20
Circuit diagram for a switching unit with three
switch positions (with neutral position):
1st Gear ==> e.g. 4:1
2nd Gear ==> 1:1
3rd Gear ==> neutral switch position,
idle running
(option)
The gearing is connected up electrically using the
8-pin Harting plug (HAN 8 U) supplied by us.
The plug connection is on the switching unit (with
neutral position):
027931
027932
This manual suits for next models
2
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