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Análisis de emisione=
s de
óxidos de nitrógeno de un motor de=
ciclo
OTTO SI,a partir del comportamiento de la relación aire–combustible y del
avance del encendido.
=
<=
![endif]>
Ana=
lysis
of emission of oxides of nitrogen from a OTTO SI cycle engine,from the behavior of the air-fuel ratio =
and
ignition advance.
Paúl Montúfar Paz. , Diego Alejandro Cáceres Veintimilla. ,Luis Fe=
rnando
Buenańo Moyano. & Gonzalo Noboa Larrea .
&nb=
sp;
Recibido : 17-12-2017 / Revisado : 09-02-2018 Aceptado:
11-03-2018/ Publicado : 12-04-2018
Abstract.
This research analyzes the emissions of oxides of
nitrogen, nox , emitted by an internal combustion
engine, indirect injection multipoint renault 1=
.8 l
and its behavior in function of the values of lambda to suggest strategies =
of
control of the oxygen content, with a better functional sampling at the tim=
e,
to the exhaust of the engine in order to mitigate the production of these t=
oxic
emissions. the analysis of the production of these emissions was done
experimentally in an engine dynamometer where the engine was subjected to
different conditions of load and revolutions to find the habitual behavior =
of a
motor of a light vehicle before the information obtained by the electronic
control module from the monitoring performed by a conventional high and low
oxygen probe. the study aims to focus the incidence of this type of monitor=
ing
on the production of nox and to propose alterna=
tives
that offer a greater range of measurements offering advantages from the
environmental point of view to a compound that has a high degree of toxicity
and affectation on the respiratory system causing a significant increase in
cases of lung cancer.
Keywords : Nox , Lambda, Dynamometer, Oxygen Sensor, Ignition Adv=
ance.
Resumen.
El presente trabajo tiene por
objeto el análisis de las emisiones de los óxidos de nitrógeno, nox , generadas por un motor de combustión interna de
inyección indirecta multipunto en función del valor de lambda de la mezcla
aire/gasolina y del avance de encendido. el análisis de la producción de es=
tas
emisiones se lo realizó experimentalmente en un dinamómetro de motor donde =
este
fue sometido a diferentes condiciones de carga y revoluciones planteadas en
base a un diseńo de experimental para poder encontrar la respuesta del moto=
r,
en sus emisiones, ante diferentes puntos de operación monitoreados por un
sensor de oxígeno de zirconio. el estudio busca enfocar la incidencia de es=
te
tipo de monitoreo sobre la producción de los óxidos de nitrógeno, para el e=
studio
de alternativas que ofrezcan un mayor rango de medición de la concentración=
de
oxígeno en el escape y la incidencia del avance de encendido sobre la
producción de las emisiones mencionadas para tener un punto de partida en el
análisis de estrategias que ofrezcan ventajas desde el punto de vista ambie=
ntal
ante un compuesto que tiene alto grado de toxicidad y afectación sobre el
sistema respiratorio.
Palabras
Claves <=
span
style=3D'mso-bookmark:_Hlk532910459'>:
Nox , Lambda, Dinamómetro, Sensor De Oxígeno, Av=
ance
De Encendido
Introducción.
<=
/span>
El motor de combustión intern=
a con
encendido provocado, si o mep , responde idealme=
nte al
comportamiento del ciclo otto , el mismo que uti=
liza a
la gasolina como su principal fuente de energía para generar el trabajo de
propulsión requerido. partiendo de un análisis termodinámico del motor en e=
l cuál el iso -octano, 𝐶 =
8 𝐻 18 , entrega su poder calorífico inferior=
,
pci ,
al ciclo aproximadamente 42500
𝐾𝑗
,
se requiere de una relación estequiométrica entre los reactivos y productos=
.
𝐶 8 𝐻 18 + 12.5 ( 𝑂 2 + 3.76 𝑁 2 )=
→ 8 𝐶𝑂 2 +
9 𝐻 2 𝑂 + 47 =
span>𝑁 2
(1) =
span>
La ecuación 1 muestra el bala=
nce
químico que debe existir entre los compuestos para que se logre la mezcla e=
ntre
el aire y combustible de un modo ideal y aunque esto difícilmente se cumple
debido al carácter inestable de un motor donde cada una de sus variables
cambian permanentemente, podemos apreciar como en los reactivos existe una
importante presencia del nitrógeno, 79% en volumen del aire. si bien antes =
de combustionarse la mezcla, el nitrógeno es un gas iner=
te,
después de reaccionar en la cámara de combustión y ante una elevada
temperatura, superior a los 1800 °c , los óxidos=
de
nitrógeno empiezan a formarse, los mismos que son causantes de un sinnúmero=
de
problemas tales como: la lluvia ácida, incremento de problemas respiratorio=
s y
cáncer pulmonar entre otros [1=
].
El motor de encendido por
combustión, si, al ser una maquina termica generará altas temperaturas =
en la
cámara y con ello en mayor o menor medida la producción de los nox , más aún a mayores índices de carga y conforme el=
motor
incrementa su recorrido, emisiones que, junto al monóxido de carbono, co , los óxidos de azufre, sox y
el dióxido de carbono, co2, contribuyen al efecto invernadero. [2]
Ante las temperaturas alcanza=
das en
la combustión en el interior de las cámaras del motor los óxidos de nitróge=
no
se forman en la siguiente escala de mayor a menor: =
𝑁𝑂 ,
𝑁𝑂 2 ,
𝑁 2 𝑂 ,
𝑁𝑂 3 ,
𝑁 2 𝑂 3 . siendo los principales los =
tres primeros.[ 3][4]
En el caso del óxido nítrico =
su
formación responde principalmente a un mecanismo térmico, donde el nitrógen=
o de
la atmosfera se oxida rompiendo su fuerte enlace triple presente entre los =
átomos
del elemento y en base al mecanismo extendido de zeldo=
vich
se producen las siguientes reacciones mostradas en las ecuaciones 2,3, 4
respectivamente.
𝑁 2 + 𝑂 ↔ 𝑁𝑂 + 𝑁
(2)
𝑁 + 𝑂 2 ↔ 𝑁𝑂 + 𝑂
(3)
𝑁 + 𝑂𝐻 ↔ 𝑁𝑂 + 𝐻
(4)
=
En vista de la alta energía
requerida para la formación de estas reacciones, 319 k=
j /kmol
para el caso de la ecuación 2, se evidencia la relación con altas temperatu=
ras
de formación, en tanto que para temperaturas inferiores a los 1800 k el
mecanismo térmico de formación pierde importancia. [2]
La velocidad de reacción de
formación del óxido nitroso es bastante inferior al tiempo de combustión lo=
que
indica que la formación del gas es un proceso postcombustión, por lo cual s=
urge
la hipótesis de buscar las causas de la producción de óxido nítrico dentro y
fuera del proceso de combustión como en aspectos característicos de la cáma=
ra
como presión y temperatura. (Partially pre-mixed auto-ignition <=
span
class=3DSpellE>of gasoline to
attain low , 2007) si bien existe otros compuestos como el óxido
nitroso no2 que es inversamente proporcional a la temperatura este componen=
te
siendo el segundo en concentración de la familia de los nox
no representa más del 20% del total de estos compuestos. [5]
El estudio realizado muestra =
la
dependencia existente entre los óxidos de nitrógeno no=
x ,
respecto a factores relacionados a la combustión, pero sobre todo a las
características propias alcanzadas en el cilindro como la relación lambda <=
/span> 𝜆
y
el avance de encendido a fin de plantear estrategias que logren menguar la
producción de estos tóxicos compuestos.
Importancia
del problema
Los controles de las emisiones
generadas por el motor de combustión interna son de vital importancia debid=
o al
alto porcentaje dentro de la contribución del valor general de las mismas y
entre estos gases los que generan mayor preocupación son los óxidos de
nitrógeno por su toxicidad.
Encontrar condiciones de oper=
ación
en las cuales sea posible reducir esta producción se vuelve un aspecto crit=
ico
en la mejora de los automotores de las próximas generaciones. Factores como=
el
avance de encendido, y el valor de lambda al ser regulados sin que <=
/a>vayana perjuicio del rendimiento del
motor permitirá tener un mejor control sobre los diferentes tipos de óxidos=
de
nitrógeno.
Metodología.
Motor y dinamómetro
Las mediciones de los óxidos =
de
nitrógeno en función de los diferentes parámetros se las realizo en un motor
Renault 1.1 l d4f740, tabla 1, utilizando un dinamómetro de motor borghi & saveri el mi=
smo que
utiliza un mecanismo de control magnético. tabla 2.
Tabla
1. Ficha
técnica del motor Renault d4f740 donde se realizaron pruebas <=
/span>
Descripción
Valor
Unidad
tipo motor
normalmente
aspirado
código
=
d4f740
combustible=
=
gasolina
cilindros
=
4
diámetro
=
69
=
mm. =
span>
carrera
76.8 <=
/span>
mm. =
span>
relación de compresión
=
9.8:1 =
potencia
=
55@5500 rpm=
=
kw
torque
=
107@3750 rpm
=
nm
ańo
2012 <=
/span>
Elaborado por.=
Grupo de Investigación
Tabla 2, Especificaciones dinamómetro
marca
borghi & saveri
referencia
fe600-sd
<=
span
style=3D'mso-bookmark:_Hlk532910459'>tipo
<=
span
style=3D'mso-bookmark:_Hlk532910459'>eddy current
<=
span
style=3D'mso-bookmark:_Hlk532910459'>rpm max
<=
span
style=3D'mso-bookmark:_Hlk532910459'>13500 =
medición torque
850 nm – 0.12%fs=
<=
span
style=3D'mso-bookmark:_Hlk532910459'>potencia
<=
span
style=3D'mso-bookmark:_Hlk532910459'>493 hp
<=
span
style=3D'mso-bookmark:_Hlk532910459'>precisión
<=
span
style=3D'mso-bookmark:_Hlk532910459'>0.5% <=
/span>
Elaborado por. Grupo de Investigación.
El analizador de gases utiliz=
ado es
el avl modelo ditest cds , el cual permite obtener lecturas de co2, co , 02, no, no2, hcs , con=
una
resolución de 1 ppm utilizando como mecanismo de monitoreo near
– infrared . el analizador además es compatible =
para
mediciones a v=
ehículos
a diésel. <=
span
style=3D'mso-bookmark:_Hlk532910459'>
El
analizador cumple con la norma 2004/22/ec (mid ); oiml r99 class 0. Módulo de control electrónico, ecu
El módulo de control electrón=
ico
ecu, utilizado para el monitoreo y control del motor es una fh
electronics basado en el mapeo original del
fabricante para el motor. el módulo electrónico permite controlar la apertu=
ra
de la mariposa, ingresar el mapeo de inyección e incluye valores de correcc=
ión
por altitud.
Las entradas disponibles son:
temperatura del agua y aceite, presión del colector, sonda lambda, seńal del
cigüeńal ckp , árbol de levas cmp ,
4 lectores de frecuencia, 8 entradas digitales pull
up y pull down .
las salidas para los actuador=
es
son: 4 salidas de encendido de 10 a y 4 de3 a, control de acelerador
electrónico, 8 salidas digitales con protección y diagnóstico incluido, 4
salidas pwm para electroválvulas, 1 salida de
tacómetro, 4 salidas de encendido y de inyectores más dos seńales pwm para válvulas solenoides.
el protocolo de comunicación:
estándar mcd1 con hmi , protocolo can, puerto
asíncrono rs232 56kbit/s y 1 puerto ethernet 10 base-t para el flash de
estrategia y comunicación con hmi . =
span>
Diseńo de experimentos, doe .
Como
matriz de medición se consideró un diseńo de experimentos doe ,
en el cuál estén presentes 3 factores: velocidad del motor =
span>𝜛
en
rangos de 250 rpm, valor de lambda 𝜆 en rangos de 0.5 de 0.9 a 1.1=
y
carga del motor 𝜁
de
25 a 100% en rangos de 25%, teniendo en cuenta que este último determina el
porcentaje del torque total al que el motor se encuentra respecto a un 100%=
de
abertura de la mariposa. este doe parte de 206
corridas con replica incluida por prueba donde se emparejan las diferentes
combinaciones de factores posibles. la escala para lambda 𝜆
se
selecciono en base a las relaciones que suceden=
con
más repitencia y son más significativas dentro del espectro de trabajo norm=
al
de un motor de combustión interna si . =
span>
Los datos registrados fueron:=
Tabla
3. Lecturas de variables del dis=
eńo de
experimento, doe
Pará=
metro
Repr=
esentación
Unidad
torque =
ζ
nm
lambda =
λ
<=
/span>
avance <=
/span> de encendido
ae
°
óxidos <=
/span> de nitrógeno
<=
span
style=3D'mso-bookmark:_Hlk532910459'>nox
<=
span
style=3D'mso-bookmark:_Hlk532910459'>ppm
velocidad del motor
ϖ=
rpm
dióxido =
de carbono <=
/o:p>
co2
%
carga =
span>
<=
/span>
<=
span
style=3D'mso-bookmark:_Hlk532910459'>%
=
Elaborado por.=
Grupo de
Investigación
Fig <=
/span> 1. =
Diagrama
del experimento con las variables independientes, dependientes y ruido del
motor sobre el dianometro y con el monitoreo del
analizador de gases.
Fuente: Autores, Ecuad=
or,
2017.
Resultados
El
análisis porcentual de los componentes de los óxidos de nitrógeno muestra u=
na
mayoritaria presencia de óxido nítrico sobre el resto de formaciones llegan=
do a
ser en valores que oscilan entre el 95% y 99% en volumen respecto al dióxid=
o de
nitrógeno, 𝑁𝑂 2 =
y
al óxido nitroso 𝑁 2 =
𝑂 . <=
/span>
<=
/span>
Fig. 2 . Compara=
ción
en composición de los óxidos de nitrógeno.
Fuente: Autores, Ecuador, 2017. =
span>
Partiendo del análisis de las
variables dependientes e independientes obtenidas a partir del diseńo de
experimentes de 3 factores se aprecia una fuerte correlación existente entre
lamba y las emisiones de nox y de igual modo en=
tre el
avance de encendido y los nox . para este propósito se midió la correlación exis=
tente
entre las variables que mostraron ser
buenos predictores para las emisiones de óxidos de nitrógeno, como lo es la=
mbda
y el avance de ignición como se puede visualizar en las figuras 2 y 3.[ 6]
Fig. 3 Gráfica de dispersión para ev=
aluar
la correlación entre el valor de lambda y los óxidos de nitrógeno
=
=
Fuente: Autores, Ecuador, 2017. =
span>
Fig. 4. Gráfica de dispersión para ev=
aluar
la correlación existente entre la producción de nox y
el avance de encendido
=
Fuente: Autores,
Ecuador, 2017.
Al realizar el análisis de
correlación entre las variables se aprecian los siguientes resultados:
La
correlación existente entre el valor de lambda y los óxidos de nitrógeno es=
de
0.63 y con un valor de pearson <0.05 nos ind=
ica
con 95% de certeza que existe una alta correlación positiva entre las dos
variables. cuando se analiza respecto al valor del avance de encendido es
posible concluir que su correlación es de -0.4 y con un valor de pearson
<0.05
nos indica con 95% de certeza que existe una mediana correlación negativa e=
ntre
las dos variables. [6] [7]
A
partir de estos resultados ayudado de una regresión es posible determinar el
efecto de los predictores sobre la producción de nox=
span>
y se determina el efecto de lambda sobre el valor de los óxidos de nitrógen=
o.
[4]
Fig.
5 Gráfica de regresión de los ó=
xidos de
nitrógeno a partir del valor de lambda.
=
Los procesos de combustión do=
nde
existe una relación estequiométrica cercana a 15.4 y levemente empobrecidas
muestran altas concentraciones de las emisiones de nox=
y particularmente el óxido nítrico, no, pues básicamente en esta zona exist=
en
altas concentraciones de super-equilibrio de
radicales o y oh, si bien existieron valores atípicos en las muestras de
laboratorio la ecuación de la regresión describe el comportamiento del fenó=
meno
en un 52% y con un valor de p<0.05 mostrando el comportamiento del conta=
minante
a base de nitrógeno.[8][9]
Fig. 6. Gráfica de dispersión de la
producción de óxidos de nitrógeno, nox , con reg=
resión
=
Fuente: Autores,
Ecuador, 2017.
<=
span
style=3D'mso-bookmark:_Hlk532912536'>Discusión
El ángulo de avance con que s=
alta
la chispa previo al punto muerto superior explica en menor medida la produc=
ción
de nox , se puede apreciar un r ajustado cercano=
al
20% y con una buena confiabilidad a la ecuación que describe el fenómeno
p<0.05, en base a esta curva es posible apreciar como el avance en ángul=
os
inferiores aumentan la generación de nox por una
inadecuada combustión de la mezcla lo cual eleva en gran medida las
temperaturas presentes en el cilindro principal causante de las emisiones p=
ues
en lugar de destinar la energía al movimiento del pistón cuando el avance d=
e la
chispa es el adecuado lo desperdicia en un incremento inadecuado en la
temperatura de los gases. [9][ 10]
Altas temperaturas a causa de
mezclas pobres y una mala sincronización de la combustión del iso -octano, c8h18, son las causas principales para la
formación de las emisiones estudiadas, en vista de que esta condición favor=
ece
la separación de las moléculas de oxígeno y nitrógeno, fuertemente unidas e=
ntre
sí convirtiéndolos en radicales e incrementando la formación de óxidos de
nitrógeno, figura 6.
=
span>Fig.
7. Diagrama
de dispersión por grupos del valor de lambda, óxidos de nitrógeno nox vs ángulo de avance
Fuente: Autores,
Ecuador, 2017.
Fig.8 grafica
de concentración del monóxido de carbono en función de la proporción
aire/combustible y de la carga impuesta al motor. <=
/p>
=
=
Fuente: Autores, Ecuad=
or,
2017.
A
partir del análisis de resultados resulto útil encontrar las variables
importantes que determinan la producción de óxidos de nitrógeno, el monóxid=
o de
nitrógeno incrementa sus valores para zonas de mezcla levemente pobre ( 1
< 𝜆 < 1.05) con carg=
as
superiores al 40%, mientras
que en mezclas ricas ( 0.9=
span> <
𝜆 <
0.95 )
mantiene una producción inferior a las 1000 ppm conforme lo muestra la figura 10.
Al
analizar el comportamiento de los óxidos de nitrógeno se encuentra que en z=
onas
de mezclas levemente empobrecidas y con el motor en el rango entre 1500 y 2=
000
rpm, así como entre 3500 y 4000 rpm también se produce un incremento import=
ante
en la producción de estas emisiones contaminantes (fig. 8)
Fig.9 grafico de cont=
ornos,
en el eje x el factor lambda, en el eje y la velocidad del motor y los nive=
les
expresados en función de la producción de los oxidos=
span>
de nitogeno , nox .
Fuente: Autores, Ecuad=
or,
2017.
Conclusion .
· =
Los óxidos de nitrógeno tienen un proceso de forma=
ción
inherente a la propia combustión sin embargo sus diferentes componentes com=
o son
𝑁𝑂 , 𝑁𝑂 2 , 𝑁 =
2 𝑂 , 𝑁𝑂 3 , 𝑁 =
2 𝑂 3
,en
orden de porcentajes en la composición, tienen diferentes factores que
propician su formación.
· =
En el caso del monóxido de carbono, no, el princip=
al
componente dentro de este grupo como lo muestra la figura 2 tiene una marca=
da
relación con el factor lambda, el avance de ignición y la carga a la que es=
tá
sometida el motor. <=
/span>
· =
Mientras la mezcla mantiene una proporción de aire
combustible levemente inferiores a 13:1 disminuyen las emisiones de =
=
119873;𝑂𝑥 en ta=
nto
que un avance inadecuado del encendido, particularmente retrasado produce un
incremento importante en dichas emisiones.
· =
Motores funcionando a plena carga con déficit de
oxígeno y con una mala sincronización del encendido provocan incrementos
considerables en las emisiones sobre las 4000 ppm lo cual pone en manifiesto
que parte de los factores que propician la formación de los óxidos tienen un
origen postcombustión.
· =
La cinética química del óxido nítrico es dominante
respecto al óxido nitroso sin embargo existen zonas en las que la presencia=
del
𝑁𝑂 2 es importante en zonas donde la conversión de no a
causa de alta concentración de oxígeno.
· =
Una estrategia por desarrollar para el control de =
los
óxidos de nitrógeno es el monitoreo de banda ancha de los sensores de oxíge=
no a
fin de poder tener un mayor control sobre la mezcla en la combustión. =
Referen=
cias bibliográficas .
1. “automo=
tive
emission control”, crouse , w.h ., (1971), mcgraw-hill =
, new York <=
o:p>
2. automob=
ile
et pollution. =
degobert paul . editions technip . <=
span
class=3DSpellE>paris . <=
/span>1992.
3. “emissi=
on
comparison of lpg / gasoline / diesel in passen=
ger cars”h=
ollemans , b., et
al. (1993=
), , tno road vehículo research institute .
4. enginee=
ring
fundamentals of the internal combustion engine. 2nd . edition . plateville pulkrabek willard w.. =
ed. prentice hall. 395=
p. p. 277-312
5. internal
combustion engines. 5th ed rajput r.k ..<=
/span> new
york : mcgraw-hill , =
879 p.
p. 221-235.
6. introdu=
ction
to internal combustion engines richard=
stone.. 3th ed. londres . <=
span
class=3DSpellE>antony rowe ltd. 635 p. p=
.98 – 109.
7. j motores de combustión alterna alternativos payri , f y de =
psantes ,. méxico . editorial rever=
te. 1016
p. p. 656 – 711
8. “modeling =
of
nitrogen oxides formation and destruction in combustion systems” hill, =
s.
c. y douglas smoot, l progress in energy and co=
mbustion
science, 2000, vol. 26 p. 417 – 458. [consultado el 5 de diciembre de 2017]. disponible en:
9. http://www.sciencedirect.com/science/article/pii/s=
0360128500000113
10. on-road=
remote
sensing of vehicle emissions in mexico =
i>. f.,
1997.bishop, g. a., stedman d. h., de la garza , j., and dávalos , v=
ol. 31,
no. 12. 3505-=
3510. environmental science &am=
p; technology ,
11. . “the =
new
concept 3-way catalyst for automotive lean-burn engine: nox
storage and reduction catalyst” naokita=
kahashi 1996. =
p.
63-69. disponible: https://doi.org/10.1016/09=
20-5861(95)00173-5 =
o:p>
12. “soluciones a la contaminación de motores térmicos
alternativos de automoción”, monografía sobre medio ambiente, serie tecnolo=
gía
y recursos naturales, vol. 1 . payri , f., et al., (1979), =
p>
Para
citar el artículo indexado.
<=
/span>
El artículo que se publica es=
de
exclusiva responsabilidad de los autores y no necesariamente reflejan el
pensamiento de la Revista Ciencia
Digital.
El articulo queda en propieda=
d de
la revista y, por tanto, su publicación parcial y/o total en otro medio tie=
ne
que ser autorizado por el director de la Revista
Ciencia Digital.
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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AP///wAAAP//////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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//////////////////////////////////////////////////////////////////////8AAAAA
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////wAAAAAAAAAA////AAAA////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////AAAAAAAAAAD///8AAAD/////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////8AAAAAAAAAAP///wAAAP//////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////yEhIf//////
/////////////////////////////////////////////////yEhIf//////////////////////
////////////////////////////////////////////////////////////////////////////
/////////yEhISEhIf//////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////wAA
AAAAAAAA////AAAA////////////////////////////////////////////////////////////
////////////////////////ISEhISEh////ISEhISEhISEhISEhISEhISEh////ISEhISEh////
ISEhISEhISEh////ISEhISEh////ISEh////ISEhISEhISEh////ISEhISEh////ISEhISEhISEh
ISEh////////ISEh////ISEhISEhISEhISEhISEh////ISEh////ISEhISEhISEhISEh////ISEh
ISEh////ISEhISEhISEhISEh////ISEhISEh////ISEhISEh////////ISEhISEhISEhISEhISEh
////ISEhISEhISEhISEh////ISEhISEhISEhISEh////////ISEhISEhISEhISEhISEh////ISEh
ISEhISEhISEh////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////AAAAAAAAAAD///8AAAD/////////////////////////
//////////////////////////////////////////////////////////8hISEhISH///8hISEh
ISEhISEhISEhISEhISEhISH///8hISH///8hISEhISEhISH///8hISEhISH///8hISH///8hISEh
ISEhISH///8hISEhISH///8hISEhISEhISEhISH///8hISEhISH///8hISH///8hISEhISEhISH/
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ISEhISEhISH///8hISEhISEhISEhISEhISH///8hISEhISEhISEhISH///8hISEhISEhISEhISH/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ISEhISEhISEhISEhIf//////////////////////////////////////////////////////////
/////////////////////////////////////////////////////wAAAAAAAAAA////AAAA////
////////////////////////////////////////////////////////////////////////////
////ISEhISEh////ISEhISEhISEhISEh////ISEhISEh////ISEhISEhISEhISEhISEh////ISEh
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////ISEhISEh////ISEhISEhISEhISEhISEh////////ISEhISEh////ISEh////ISEh////////
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ISEhISEhISEh////ISEhISEhISEhISEhISEhISEh////ISEhISEhISEhISEhISEh////////ISEh
ISEhISEhISEh////ISEhISEhISEh////ISEhISEhISEhISEhISEh////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////AAAAAAAAAAD///8AAAD/////////////////////////////////////////////
//////////////////////////////////////////8hISH/////////////////////////////
//////////////////////////////////////8hISH/////////////////////////////////
//////////////////////////////////////////////8hISH/////////////////////////
//////8hISH///////////////////////////////8hISH/////////////////////////////
//////////////////////////////////////8hISH/////////////////////////////////
//////////////8hISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEhISEh
ISH/////////////////////////////////////////////////////////////////////////
//////////////////////////////8hISH/////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////8AAAAAAAAAAP///wAAAP//////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////wAAAAAAAAAA////AAAA////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////AAAAAAAAAAD///8AAAD/////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////////8A
AAAAAAAAAP///wAAAP//////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////wAAAAAAAAAA////AAAA////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////AAAAAAAA
AAD///8AAAD/////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////8AAAAAAAAAAP///wAAAP//////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////wAAAAAAAAAA////
AAAA////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////AAAAAAAAAAD///8AAAD/////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////8AAAAAAAAAAP///wAAAP//
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////wAAAAAAAAAA////AAAA////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////AAAAAAAAAAD///8AAAD/////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////8AAAAAAAAAAP///wAAAP//////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////wAAAAAAAAAA////AAAA////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
AAAAAAAAAAD///8AAAD/////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////8AAAAAAAAAAP///wAAAP//////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////wAAAAAA
AAAA////AAAA////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////AAAAAAAAAAD///8AAAD/////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////8AAAAAAAAAAP//
/wAAAP//////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////wAAAAAAAAAA////AAAA////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////AAAAAAAAAAD///8AAAD/
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////8AAAAAAAAAAP///wAAAP//////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////wAAAAAAAAAA////AAAA////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////AAAAAAAAAAD///8AAAD/////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////8AAAD/////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////8AAAAAAAAAAP///wAAAP//////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////wAA
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////AAAAAAAAAAAA////AAAAAAAAAAAAAAAAAAAAAAAA
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////////8AAAAA
AAAAAP///wAAAP//////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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/////////////////////////////////////////wAAAP//////////////////////////////
/////wAAAP///wAAAP///////wAAAP///////////////////////////////////////////wAA
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/////////////////////////////wAAAP///////////wAAAP//////////////////////////
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////////////////////////////////////////////////////////////////////////////
/////////////////////////////wAAAAAAAAAA////AAAA////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////AAAAAAAAAAD/
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////8AAAAAAAAAAP///wAAAP//////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////wAAAAAAAAAA////AAAA
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////AAAA////////////////////AAAAAAAA////////////////////////////
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////////////////////////////AAAAAAAA////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////wAAAAAAAAAA////AAAA////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////AAAA
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////8AAAAAAAAAAP///wAAAP//////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////wAAAAAA
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////wAAAAAAAAAA////AAAA////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
/////////////////////////////////////////////////////////////////////////wAA
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////AAAAAAAAAAD///8AAAD/////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////////////////////////////////////////////////////8AAAAAAAAA
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
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////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
////////////////////////////////////////////////////////////////////////////
//////////////////8AAAAAAAAAAP///wAAAP//////////////////////////////////////
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