AD8220TRMZ-EP [ADI]

JFET Input Instrumentation Amplifier with Rail-to-Rail Output in MSOP Package;
AD8220TRMZ-EP
型号: AD8220TRMZ-EP
厂家: ADI    ADI
描述:

JFET Input Instrumentation Amplifier with Rail-to-Rail Output in MSOP Package

放大器 光电二极管
文件: 总11页 (文件大小:316K)
中文:  中文翻译
下载:  下载PDF数据表文档文件
JFET Input Instrumentation Amplifier with  
Rail-to-Rail Output in MSOP Package  
AD8220-EP  
Enhanced Product  
FEATURES  
PIN CONFIGURATION  
Low input currents  
AD8220-EP  
1
2
3
4
8
7
6
5
–IN  
+V  
S
25 pA maximum input bias current  
2 pA maximum input offset current  
High CMRR  
92 dB CMRR (minimum) to 60 Hz, G = 10  
72 dB CMRR (minimum) at 5 kHz, G = 1  
Excellent ac specifications and low power  
1.5 MHz bandwidth (G = 1)  
14 nV/√Hz input noise (1 kHz)  
Slew rate: 2 V/µs  
1 mA maximum quiescent supply current  
Versatile  
MSOP package  
Rail-to-rail output  
Input voltage range to below negative supply rail  
7 kV ESD HBM protection  
R
R
V
OUT  
G
G
REF  
+IN  
–V  
S
Figure 1.  
10000  
1000  
100  
10  
I
BIAS  
I
OS  
1
4.5 V to 36 V single supply  
2.25 V to 18 V dual supply  
Gain set with single resistor (G = 1 to 1000)  
0.1  
ENHANCED PRODUCT FEATURES  
Supports defense and aerospace applications (AQEC standard)  
Extended industrial temperature range: −55°C to +125°C  
Controlled manufacturing baseline  
1 assembly/test site  
0.01  
–75  
–25  
25  
75  
125  
TEMPERATURE (°C)  
Figure 2. Input Bias Current and Offset Current vs. Temperature  
1 fabrication site  
Product change notification  
Qualification data available on request  
can operate on a 18 V dual supply, as well as on a single 5 V  
supply. Its rail-to-rail output stage maximizes dynamic range on  
the low voltage supplies common in portable applications. Its  
ability to run on a single 5 V supply eliminates the need to use  
higher voltage, dual supplies. The AD8220-EP draws a maximum  
of 750 µA of quiescent current at 25°C, making it ideal for battery  
powered devices.  
APPLICATIONS  
Medical instrumentation  
Precision data acquisition  
Transducer interfaces  
GENERAL DESCRIPTION  
The AD8220-EP is the first single-supply, JFET input instrumenta-  
tion amplifier available in an MSOP package. Designed to meet  
the needs of high performance, portable instrumentation, the  
AD8220-EP has a minimum common-mode rejection ratio  
(CMRR) of 77 dB at dc and a minimum CMRR of 72 dB at 5 kHz  
for G = 1. Maximum input bias current at 25°C is 25 pA and  
remains below 100 nA over the entire extended industrial  
temperature range. Despite the JFET inputs, the AD8220-EP  
typically has a noise corner of only 10 Hz.  
Gain is set from 1 to 1000 with a single resistor. Increasing the  
gain increases the common-mode rejection. Measurements that  
need higher CMRR when reading small signals benefit when  
the AD8220-EP is set for large gains.  
A reference pin allows the user to offset the output voltage. This  
feature is useful when interfacing with analog-to-digital converters.  
The AD8220-EP is available in an MSOP that takes roughly half  
the board area of an SOIC. Performance is specified over the  
extended industrial temperature range of −55°C to +125°C.  
With the proliferation of mixed-signal processing, the number  
of power supplies required in each system has grown. The  
AD8220-EP is designed to alleviate this problem. The AD8220-EP  
Additional application and technical information can be found  
in the AD8220 data sheet.  
Rev. A  
Document Feedback  
Information furnished by Analog Devices is believed to be accurate and reliable. However, no  
responsibility is assumed by Analog Devices for its use, nor for any infringements of patents or other  
rightsof third parties that may result fromits use. Specifications subject to change without notice. No  
license is granted by implication or otherwise under any patent or patent rights of Analog Devices.  
Trademarks andregisteredtrademarks are the property of their respective owners.  
One Technology Way, P.O. Box 9106, Norwood, MA 02062-9106, U.S.A.  
Tel: 781.329.4700  
Technical Support  
©2017 Analog Devices, Inc. All rights reserved.  
www.analog.com  
 
 
 
 
 
AD8220-EP  
Enhanced Product  
TABLE OF CONTENTS  
Features .............................................................................................. 1  
Absolute Maximum Ratings ............................................................7  
ESD Caution...................................................................................7  
Pin Configuration and Function Descriptions..............................8  
Typical Performance Characteristics ..............................................9  
Outline Dimensions....................................................................... 11  
Ordering Guide .......................................................................... 11  
Enhanced Product Features ............................................................ 1  
Applications....................................................................................... 1  
General Description......................................................................... 1  
Pin Configuration............................................................................. 1  
Revision History ............................................................................... 2  
Specifications..................................................................................... 3  
REVISION HISTORY  
11/2017—Rev. 0 to Rev. A  
Changes to Table 1............................................................................ 4  
Changes to Input Offset, VOSI, Average TC Parameter, Table 2......... 5  
4/2017—Revision 0: Initial Version  
Rev. A | Page 2 of 11  
 
Enhanced Product  
AD8220-EP  
SPECIFICATIONS  
+VS = 15 V, VS = −15 V, V REF = 0 V, TA = 25°C, TOPR = −55°C to +125°C, G = 1, RL = 2 kΩ,1 unless otherwise noted.  
Table 1.  
Parameter  
Test Conditions/Comments  
Min  
Typ  
Max  
Unit  
COMMON-MODE REJECTION RATIO (CMRR)  
TOPR  
CMRR from DC to 60 Hz with 1 kΩ Source  
Imbalance  
VCM = 10 V  
G = 1  
G = 10  
G = 100  
G = 1000  
77  
92  
92  
92  
dB  
dB  
dB  
dB  
CMRR at 5 kHz  
G = 1  
G = 10  
G = 100  
G = 1000  
VCM = 10 V  
72  
80  
80  
80  
dB  
dB  
dB  
dB  
NOISE  
Referred to input (RTI) noise = √(eni2 + (eno/G)2), TA  
Voltage Noise, 1 kHz  
Input Voltage Noise, eni  
Output Voltage Noise, eno  
RTI, 0.1 Hz to 10 Hz  
G = 1  
VIN+, VIN− = 0 V  
VIN+, VIN− = 0 V  
14  
90  
nV/√Hz  
nV/√Hz  
5
0.8  
1
µV p-p  
µV p-p  
fA/√Hz  
G = 1000  
Current Noise  
VOLTAGE OFFSET  
Input Offset, VOSI  
Average Temperature Coefficient (TC) TOPR  
Output Offset, VOSO  
Average TC  
f = 1 kHz  
VOS = VOSI + VOSO/G  
TA  
−250  
−10  
−750  
−10  
+250  
+10  
+750  
+10  
µV  
µV/°C  
µV  
TA  
TOPR  
µV/°C  
Offset RTI vs. Supply (PSR)  
G = 1  
G = 10  
G = 100  
G = 1000  
VS = 5 V to 15 V, TOPR  
80  
92  
92  
92  
dB  
dB  
dB  
dB  
INPUT CURRENT  
Input Bias Current  
Over Temperature  
Input Offset Current  
Over Temperature  
DYNAMIC RESPONSE  
Small Signal Bandwidth, −3 dB  
G = 1  
TA  
TOPR  
TA  
25  
100  
2
pA  
nA  
pA  
nA  
TOPR  
10  
TA  
1500  
800  
120  
14  
kHz  
kHz  
kHz  
kHz  
G = 10  
G = 100  
G = 1000  
Settling Time 0.01%  
G = 1  
G = 10  
G = 100  
G = 1000  
10 V step, TA  
5
µs  
µs  
µs  
µs  
4.3  
8.1  
58  
Rev. A | Page 3 of 11  
 
AD8220-EP  
Enhanced Product  
Parameter  
Settling Time 0.001%  
G = 1  
Test Conditions/Comments  
Min  
Typ  
Max  
Unit  
10 V step, TA  
6
µs  
µs  
µs  
µs  
G = 10  
G = 100  
G = 1000  
4.6  
9.6  
74  
Slew Rate  
G = 1 to 100  
GAIN  
Gain Range  
Gain Error  
TA  
2
1
V/µs  
V/V  
G = 1 + (49.4 kΩ/RG), TOPR  
1000  
VOUT = 10 V  
G = 1  
G = 10  
G = 100  
G = 1000  
−0.1  
−0.8  
−0.8  
−0.8  
+0.1  
+0.8  
+0.8  
+0.8  
%
%
%
%
Gain Nonlinearity  
G = 1  
G = 10  
G = 100  
G = 1000  
G = 1  
G = 10  
G = 100  
VOUT = −10 V to +10 V, TA  
RL = 10 kΩ  
RL = 10 kΩ  
RL = 10 kΩ  
RL = 10 kΩ  
RL = 2 kΩ  
RL = 2 kΩ  
RL = 2 kΩ  
10  
5
15  
10  
60  
500  
15  
15  
75  
ppm  
ppm  
ppm  
ppm  
ppm  
ppm  
ppm  
30  
400  
10  
10  
50  
Gain vs. Temperature  
G = 1  
G > 10  
3
10  
−50  
ppm/°C  
ppm/°C  
INPUT  
Impedance (Pin to Ground)2  
Input Operating Voltage Range3  
Over Temperature  
OUTPUT  
TA  
104||5  
GΩ||pF  
VS = 2.25 V to 18 V for dual supplies, TA  
TOPR  
−VS − 0.1  
−VS − 0.1  
+VS − 2  
+VS − 2.2  
V
V
Output Swing  
Over Temperature  
Short-Circuit Current  
REFERENCE INPUT  
RIN  
RL = 10 kΩ, TA  
TOPR  
TA  
−14.7  
−14.3  
+14.7  
+14.3  
V
V
mA  
15  
40  
TA  
kΩ  
µA  
V
IIN  
VIN+, VIN− = 0 V  
TA  
70  
+VS  
Voltage Range  
Gain to Output  
POWER SUPPLY  
Operating Range4  
Quiescent Current  
Over Temperature  
TEMPERATURE RANGE  
For Specified Performance  
1
0.0001 V/V  
2.25  
−55  
18  
750  
1000  
V
µA  
µA  
TA  
TOPR  
TOPR  
+125  
°C  
1 When the output sinks more than 4 mA, use a 47 pF capacitor in parallel with the load to prevent ringing. Otherwise, use a larger load, such as 10 kΩ.  
2 Differential and common-mode input impedance (ZDIFF and ZCM) can be calculated from the pin impedance (ZPIN): ZDIFF = 2(ZPIN); ZCM = ZPIN/2.  
3 The AD8220-EP can operate up to a diode drop below the negative supply but the bias current increases sharply. The input voltage range reflects the maximum  
allowable voltage where the input bias current is within the specification.  
4 At the minimum supply voltage of 2.25 V, ensure that the input common-mode voltage is within the input voltage range specification.  
Rev. A | Page 4 of 11  
Enhanced Product  
AD8220-EP  
+VS = 5 V, VS = 0 V, V REF = 2.5 V, TA = 25°C, TOPR = −55°C to +125°C, G = 1, RL = 2 kΩ1, unless otherwise noted.  
Table 2.  
Parameter  
Test Conditions/Comments  
Min  
Typ  
Max  
Unit  
COMMON-MODE REJECTION RATIO (CMRR) TOPR  
CMRR from DC to 60 Hz with 1 kΩ Source VCM = 0 V to 2.5 V  
Imbalance  
G = 1  
77  
92  
92  
92  
dB  
dB  
dB  
dB  
G = 10  
G = 100  
G = 1000  
CMRR at 5 kHz  
G = 1  
G = 10  
G = 100  
G = 1000  
VCM = 0 V to 2.5 V  
72  
80  
80  
80  
dB  
dB  
dB  
dB  
NOISE  
RTI noise = √(eni2 + (eno/G)2), TA  
VS = 2.5 V  
VIN+, VIN− = 0 V, VREF = 0 V  
VIN+, VIN− = 0 V, VREF = 0 V  
Voltage Noise, 1 kHz  
Input Voltage Noise, eni  
Output Voltage Noise, eno  
RTI, 0.1 Hz to 10 Hz  
G = 1  
14  
90  
nV/√Hz  
nV/√Hz  
5
0.8  
1
µV p-p  
µV p-p  
fA/√Hz  
G = 1000  
Current Noise  
VOLTAGE OFFSET  
Input Offset, VOSI  
Average TC  
Output Offset, VOSO  
Average TC  
Offset RTI vs. Supply (PSR)  
G = 1  
G = 10  
f = 1 kHz  
VOS = VOSI + VOSO/G  
TA  
TOPR  
TA  
TOPR  
TOPR  
−300  
−10  
−800  
−10  
+300  
+10  
+800  
+10  
µV  
µV/°C  
µV  
µV/°C  
80  
92  
92  
92  
dB  
dB  
dB  
dB  
G = 100  
G = 1000  
INPUT CURRENT  
Input Bias Current  
Over Temperature  
Input Offset Current  
Over Temperature  
DYNAMIC RESPONSE  
Small Signal Bandwidth, −3 dB  
G = 1  
TA  
TOPR  
TA  
TOPR  
TA  
25  
100  
2
pA  
nA  
pA  
nA  
10  
1500  
800  
120  
14  
kHz  
kHz  
kHz  
kHz  
G = 10  
G = 100  
G = 1000  
Settling Time 0.01%  
G = 1  
G = 10  
G = 100  
G = 1000  
Settling Time 0.001%  
G = 1  
G = 10  
G = 100  
G = 1000  
TA  
3 V step  
4 V step  
4 V step  
4 V step  
TA  
3 V step  
4 V step  
4 V step  
4 V step  
2.5  
2.5  
7.5  
30  
µs  
µs  
µs  
µs  
3.5  
3.5  
8.5  
37  
µs  
µs  
µs  
µs  
Rev. A | Page 5 of 11  
AD8220-EP  
Enhanced Product  
Parameter  
Slew Rate  
G = 1 to 100  
GAIN  
Gain Range  
Gain Error  
Test Conditions/Comments  
Min  
2
Typ  
Max  
Unit  
V/µs  
V/V  
TA  
G = 1 + (49.4 kΩ/RG), TOPR  
1
1000  
VOUT = 0.3 V to 2.9 V for G = 1, VOUT = 0.3 V to 3.8 V for  
G > 1  
G = 1  
G = 10  
G = 100  
G = 1000  
Nonlinearity  
−0.1  
−0.8  
−0.8  
−0.8  
+0.1  
+0.8  
+0.8  
+0.8  
%
%
%
%
VOUT = 0.3 V to 2.9 V for G = 1, VOUT = 0.3 V to 3.8 V for  
G > 1, TA  
G = 1  
G = 10  
G = 100  
G = 1000  
G = 1  
G = 10  
G = 100  
RL = 10 kΩ  
RL = 10 kΩ  
RL = 10 kΩ  
RL = 10 kΩ  
RL = 2 kΩ  
RL = 2 kΩ  
RL = 2 kΩ  
50  
50  
75  
750  
50  
50  
75  
ppm  
ppm  
ppm  
ppm  
ppm  
ppm  
ppm  
Gain vs. Temperature  
G = 1  
G > 10  
3
10  
−50  
ppm/°C  
ppm/°C  
INPUT  
Impedance (Pin to Ground)2  
Input Voltage Range3  
Over Temperature  
TA  
TA  
TOPR  
104||6  
GΩ||pF  
V
V
−0.1  
+VS −  
2.2  
OUTPUT  
Output Swing  
RL = 10 kΩ  
TOPR  
0.15  
0.3  
4.85  
4.70  
V
V
mA  
Over Temperature  
Short-Circuit Current  
REFERENCE INPUT  
RIN  
15  
40  
TA  
kΩ  
µA  
V
IIN  
VIN+, VIN− = 0 V  
TA  
70  
+VS  
Voltage Range  
Gain to Output  
POWER SUPPLY  
Operating Range  
Quiescent Current  
Over Temperature  
TEMPERATURE RANGE  
TOPR, For Specified Performance  
−VS  
4.5  
1
0.0001  
V/V  
36  
750  
1000  
V
µA  
µA  
TA  
TOPR  
TOPR  
−55  
+125  
°C  
1 When the output sinks more than 4 mA, use a 47 pF capacitor in parallel with the load to prevent ringing. Otherwise, use a larger load, such as 10 kΩ.  
2 Differential and common-mode impedance can be calculated from the pin impedance: ZDIFF = 2(ZPIN); ZCM = ZPIN/2.  
3 The AD8220-EP can operate up to a diode drop below the negative supply but the bias current increases sharply. The input voltage range reflects the maximum  
allowable voltage where the input bias current is within the specification.  
Rev. A | Page 6 of 11  
 
Enhanced Product  
AD8220-EP  
ABSOLUTE MAXIMUM RATINGS  
Table 3.  
Stresses at or above those listed under Absolute Maximum  
Ratings may cause permanent damage to the product. This is a  
stress rating only; functional operation of the product at these  
or any other conditions above those indicated in the operational  
section of this specification is not implied. Operation beyond  
the maximum operating conditions for extended periods may  
affect product reliability.  
Parameter  
Rating  
Supply Voltage  
Power Dissipation  
18 V  
See Figure 3  
Indefinite1  
VS  
Output Short-Circuit Current  
Input Voltage (Common Mode)  
Differential Input Voltage  
Storage Temperature Range  
Operating Temperature Range  
Reflow Temperature  
Junction Temperature  
θJA (4-Layer JEDEC Standard Board)2  
ESD  
VS  
−65°C to +125°C  
−55°C to +125°C  
260°C  
140°C  
189°C/W  
Figure 3 shows the maximum safe power dissipation in the  
package vs. the ambient temperature for the MSOP on a 4-layer  
JEDEC standard board.  
0.6  
0.5  
0.4  
0.3  
0.2  
0.1  
0
Human Body Model  
Charge Device Model  
Machine Model  
7 kV  
1.25 kV  
0.4 kV  
1 Assumes the load is referenced to midsupply.  
2 θJA value is an approximation.  
–60  
–40  
–20  
0
20  
40  
60  
80  
100  
120  
AMBIENT TEMPERATURE (°C)  
Figure 3. Maximum Power Dissipation vs. Ambient Temperature  
ESD CAUTION  
Rev. A | Page 7 of 11  
 
 
 
AD8220-EP  
Enhanced Product  
PIN CONFIGURATION AND FUNCTION DESCRIPTIONS  
AD8220-EP  
1
2
3
4
8
7
6
5
–IN  
+V  
S
R
R
V
OUT  
G
G
REF  
–V  
+IN  
S
TOP VIEW  
(Not to Scale)  
Figure 4. Pin Configuration  
Table 4. Pin Function Descriptions  
Pin No. Mnemonic Description  
1
2, 3  
4
5
6
−IN  
RG  
Negative Input Terminal (True Differential Input).  
Gain Setting Terminals. Place a resistor across the RG pins.  
Positive Input Terminal (True Differential Input).  
Negative Power Supply Terminal.  
Reference Voltage Terminal. Drive this terminal with a low impedance voltage source to level shift the output.  
Output Terminal.  
+IN  
−VS  
REF  
VOUT  
+VS  
7
8
Positive Power Supply Terminal.  
Rev. A | Page 8 of 11  
 
Enhanced Product  
AD8220-EP  
TYPICAL PERFORMANCE CHARACTERISTICS  
2
1
10000  
+125°C  
+85°C  
+25°C  
–40°C  
–55°C  
1000  
–V  
+V  
I
S
100  
10  
0
BIAS  
–1  
–2  
–3  
–4  
I
S
OS  
1
0.1  
0.01  
NOTES  
1. THE AD8220-EP CAN OPERATE SLIGHTLY BELOW THE  
NEGATIVE SUPPLY, BUT THE BIAS CURRENT INCREASES  
SHARPLY AND MAY AFFECT DEVICE RELIABILITY.  
–75  
–25  
25  
75  
125  
2
4
6
8
10  
12  
14  
16  
18  
TEMPERATURE (°C)  
SUPPLY VOLTAGE (V)  
Figure 5. Input Bias Current and Offset Current vs. Temperature,  
VS = 15 V, VREF = 0 V  
Figure 8. Input Voltage Limit vs. Supply Voltage, G = 1, VREF = 0 V  
10000  
1000  
100  
0
–1  
–2  
I
BIAS  
+125°C  
10  
1
–3  
+85°C  
+25°C  
–40°C  
–55°C  
I
OS  
–4  
2
1
0
0.1  
0.01  
–75  
–25  
25  
75  
125  
2
4
6
8
10  
12  
14  
16  
18  
TEMPERATURE (°C)  
DUAL SUPPLY VOLTAGE (±V)  
Figure 6. Input Bias Current and Offset Current vs. Temperature,  
VS = 5 V, VREF = 2.5 V  
Figure 9. Output Voltage Swing Referred to Supply Voltage vs. Dual Supply  
Voltage, RLOAD = 2 kΩ, G = 10, VREF = 0 V  
10  
8
0
–0.2  
–0.4  
6
4
2
+125°C  
+85°C  
+25°C  
–40°C  
–55°C  
0
–2  
–4  
–6  
–8  
–10  
0.4  
0.2  
0
2
4
6
8
10  
12  
14  
16  
18  
–60 –40 –20  
0
20  
40  
60  
80  
100 120 140  
DUAL SUPPLY VOLTAGE (±V)  
TEMPERATURE (°C)  
Figure 7. CMRR vs. Temperature, G = 1  
Figure 10. Output Voltage Swing Referred to Supply Voltage vs. Dual Supply  
Voltage, RLOAD = 10 kΩ, G = 10, VREF = 0 V  
Rev. A | Page 9 of 11  
 
AD8220-EP  
Enhanced Product  
15  
10  
5
0
–1  
–2  
–3  
–4  
+V  
S
+125°C  
+85°C  
+25°C  
–40°C  
–55°C  
0
+125°C  
+85°C  
+25°C  
–40°C  
–55°C  
–5  
–10  
2
1
0
–V  
S
–15  
100  
1k  
10k  
0
2
4
6
8
10  
12  
14  
16  
I
(mA)  
R
()  
OUT  
LOAD  
Figure 13. Output Voltage Swing Referred to Supply Voltage vs. Output  
Current (IOUT), VS = 15 V, VREF = 0 V  
Figure 11. Output Voltage Swing vs. Load Resistance (RLOAD), VS = 15 V,  
REF = 0 V  
V
0
–1  
–2  
–3  
5.0  
4.5  
4.0  
3.5  
3.0  
2.5  
2.0  
1.5  
1.0  
0.5  
0
+V  
S
+125°C  
+85°C  
+25°C  
–40°C  
–55°C  
+125°C  
+85°C  
+25°C  
–40°C  
–55°C  
2.0  
1.5  
1.0  
0.5  
0
–V  
S
0
2
4
6
8
10  
12  
14  
16  
100  
1k  
10k  
I
(mA)  
OUT  
R
()  
LOAD  
Figure 14. Output Voltage Swing Referred to Supply Voltage vs. Output  
Current (IOUT), VS = 5 V, VREF = 2.5 V  
Figure 12. Output Voltage Swing vs. Load Resistance (RLOAD), VS = 5 V,  
REF = 2.5 V  
V
Rev. A | Page 10 of 11  
Enhanced Product  
AD8220-EP  
OUTLINE DIMENSIONS  
3.20  
3.00  
2.80  
8
1
5
4
5.15  
4.90  
4.65  
3.20  
3.00  
2.80  
PIN 1  
IDENTIFIER  
0.65 BSC  
0.95  
0.85  
0.75  
15° MAX  
1.10 MAX  
0.80  
0.55  
0.40  
0.15  
0.05  
0.23  
0.09  
6°  
0°  
0.40  
0.25  
COPLANARITY  
0.10  
COMPLIANT TO JEDEC STANDARDS MO-187-AA  
Figure 15. 8-Lead Mini Small Outline Package [MSOP]  
(RM-8)  
Dimensions shown in millimeters  
ORDERING GUIDE  
Model1  
Temperature Range  
Package Description  
Package Option  
RM-8  
RM-8  
Branding  
Y6T  
Y6T  
AD8220TRMZ-EP  
AD8220TRMZ-EP-R7  
−55°C to +125°C  
−55°C to +125°C  
8-Lead MSOP  
8-Lead MSOP, 7Tape and Reel  
1 Z = RoHS Compliant Part.  
©2017 Analog Devices, Inc. All rights reserved. Trademarks and  
registered trademarks are the property of their respective owners.  
D15434-0-11/17(A)  
Rev. A | Page 11 of 11  
 
 

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