]> git.llucax.com Git - z.facultad/75.06/jacu.git/blobdiff - doc/InformeTP3.lyx
Agrego -r a la lista de parámetros
[z.facultad/75.06/jacu.git] / doc / InformeTP3.lyx
index b6c4dacb7690798dacbb1b096daf3c04545f520d..5c5a3c835245ba9c0616d9ea80e90d6419f7155a 100644 (file)
@@ -159,7 +159,7 @@ Como hemos ancitipado anteriormente, el compresor cuenta con features especiales
  Antes de pasar a su descripción, notamos la invocación general para comprimir
  y descomprimir un archivo como se pidió en el enunciado
 \begin_inset Foot
  Antes de pasar a su descripción, notamos la invocación general para comprimir
  y descomprimir un archivo como se pidió en el enunciado
 \begin_inset Foot
-collapsed true
+collapsed false
 
 \layout Standard
 
 
 \layout Standard
 
@@ -228,9 +228,9 @@ La opci
 \family typewriter 
 -t
 \family default 
 \family typewriter 
 -t
 \family default 
pcional que permite generar un archivo comprimido multivolumen, donde volsize
- será el tamaño en kbytes de cada volúmen, excepto el último que podrá ser
- menor.
opcional que permite generar un archivo comprimido multivolumen, donde
+ volsize será el tamaño en kbytes de cada volumen, excepto el último que
podrá ser menor.
 \layout Subsection
 
 
 \layout Subsection
 
 
@@ -241,8 +241,8 @@ La opci
 Opciones adicionales
 \layout Standard
 
 Opciones adicionales
 \layout Standard
 
-Ademas de los flags standards que hemos visto recién, nuestro compresor
- cuenta con otra serie de ellos para la utilización de los features especiales
+Además de los flags estándar que hemos visto recién, nuestro compresor cuenta
+ con otra serie de ellos para la utilización de los características especiales
  que veremos más adelante.
  A fines de documentar la totalidad de los flags de ejecución, detallamos
  los anteriores y los adicionales a continuación:
  que veremos más adelante.
  A fines de documentar la totalidad de los flags de ejecución, detallamos
  los anteriores y los adicionales a continuación:
@@ -253,7 +253,7 @@ Ademas de los flags standards que hemos visto reci
 \family typewriter 
 -c
 \family default 
 \family typewriter 
 -c
 \family default 
- Indica que se desea comprimir un archivo (mutualmente exclusivo con 
+ Indica que se desea comprimir un archivo (mutuamente exclusivo con 
 \family typewriter 
 -d
 \family default 
 \family typewriter 
 -d
 \family default 
@@ -265,8 +265,7 @@ Ademas de los flags standards que hemos visto reci
 \family typewriter 
 -d
 \family default 
 \family typewriter 
 -d
 \family default 
- Indica que se desea descomprimir un archivo (mutualmente exclusivo con
+ Indica que se desea descomprimir un archivo (mutuamente exclusivo con 
 \family typewriter 
 -c
 \family default 
 \family typewriter 
 -c
 \family default 
@@ -298,6 +297,19 @@ Zero Grouping
 \labelwidthstring 00.00.0000
 
 
 \labelwidthstring 00.00.0000
 
 
+\family typewriter 
+-r
+\family default 
+ Puede ser utilizado únicamente en una compresión y activa el característica
+ de 
+\series bold 
+Word Scaping
+\series default 
+, que realizar un reemplazo de palabras frecuentes antes del BlockSorting.
+\layout List
+\labelwidthstring 00.00.0000
+
+
 \family typewriter 
 -s
 \family default 
 \family typewriter 
 -s
 \family default 
@@ -411,9 +423,213 @@ Especificaciones
 \layout Subsection
 
 Block Sorting
 \layout Subsection
 
 Block Sorting
+\layout Standard
+
+La técnica de Block Sorting
+\begin_inset Foot
+collapsed false
+
+\layout Standard
+
+desde ahora lo llamaremos BS, para minimizar la notación.
+\end_inset 
+
+ tiene su principal desventaja en que es un algoritmo que consume muchos
+ recursos, y para ser una solución práctica debe ser trabajada para dar
+ resultados coherentes.
+\layout Standard
+
+En una implementación simple, el BS debe crear una matriz y crear todos
+ los desplazamientos sobre ella.
+ Esto hace que se necesite 
+\begin_inset Formula $O(n^{2})$
+\end_inset 
+
+ en memoria, donde 
+\begin_inset Formula $n$
+\end_inset 
+
+ es la longitud del vector sobre el cual se quiere operar.
+ Claramente es un problema, ya que para una página pequeña, digamos 1kb,
+ se necesita una matriz de 1Mb.
+\layout Standard
+
+El otro problema es el tiempo de ordenamiento de los desplazamientos, que
+ debe ser lo menor posible.
+ Una posibilidad es utilizar un método de ordenamiento de bajo orden, como
+ el Quick Sort
+\begin_inset Foot
+collapsed false
+
+\layout Standard
+
+Se ha optado por utilizar el qsort de la libc por ser ANSI-C y tener una
+ técnica de selección del pivot aceptable.
+\end_inset 
+
+ utilizado en esta implementación.
+ Otra posible opción hubiera sido el Heap Sort, pero dada la complejidad
+ de su implementación no se creyó que diera una mejora factible y suficiente
+ apreciable como para implementarlo.
+\layout Standard
+
+Como última opción se estudió el Radix Sort, ya que justamente nuestro dato
+ a ordenar es de longitud fija 
+\begin_inset Formula $n$
+\end_inset 
+
+ y se cuenta con un conjunto de 
+\begin_inset Formula $L=255$
+\end_inset 
+
+ elementos posibles a aparecer en el dato.
+ El orden de éste método sería 
+\begin_inset Formula $O(n*L)$
+\end_inset 
+
+, pero para que realmente el Radix Sort sea efectivo, se requiere que 
+\begin_inset Formula $255=L<log_{2}(n)=15$
+\end_inset 
+
+, por lo que fue descartado.
+\layout Standard
+
+Para solucionar el problema del consumo de memoria se plateó un esquema
+ como el que se indica a continuación :
+\layout LyX-Code
+
+               
+\layout LyX-Code
+
+
+\size small 
+                +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+ 
+\layout LyX-Code
+
+
+\size small 
+Dato            | | | | | | | | | | | | | | | | | | | | | | | | | |
+\layout LyX-Code
+
+
+\size small 
+                +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
+\layout LyX-Code
+
+
+\size small 
+                 ^ ^                                             ^
+\layout LyX-Code
+
+
+\size small 
+Desplazamientos  | |                                             |
+\layout LyX-Code
+
+
+\size small 
+     +-+         | |                                             |
+\layout LyX-Code
+
+
+\size small 
+     | |---------+ |                                             |
+\layout LyX-Code
+
+
+\size small 
+     +-+           |                                             |
+\layout LyX-Code
+
+
+\size small 
+     | |-----------+                                             |
+\layout LyX-Code
+
+
+\size small 
+     +-+                                                         |
+\layout LyX-Code
+
+
+\size small 
+     
+\backslash 
+/
+\backslash 
+                                                         |
+\layout LyX-Code
+
+
+\size small 
+     +-+                                                         |
+\layout LyX-Code
+
+
+\size small 
+     | |---------------------------------------------------------+
+\layout LyX-Code
+
+
+\size small 
+     +-+
+\layout Standard
+
+El vector desplazamiento es una estructura de control que almacena :
+\layout Itemize
+
+La posición inicial de la palabra desplazada i en el Dato
+\layout Itemize
+
+La posición final de la palabra desplazada en el Dato ( se calcula como
+ (pos_inicial+n-1)%n)
+\layout Standard
+
+La ganancia de este método es que se utilizan 
+\begin_inset Formula $2*n$
+\end_inset 
+
+ bytes de memoria solamente, es decir, que se bajó a O(n) el orden en memoria
+ del algoritmo.
+\layout Standard
+
+Luego de inicializar el vector Desplazamiento (esta parte es 
+\begin_inset Formula $O(n)$
+\end_inset 
+
+ en tiempo) se ordena el vector utilizando el qsort, que es del orden de
+\begin_inset Formula $O(n*log_{2}(n))$
+\end_inset 
+
+
+\begin_inset Foot
+collapsed false
+
+\layout Standard
+
+En realidad es del orden de O(1.44*n*log2(n)), para el caso promedio.
+\end_inset 
+
+.
+ Y como último paso se obtiene la salida recurriendo el vector Desplazamiento
+ ordenado y emitiendo el último byte de cada posición.
+ Si se detecta la posición donde la posición inicial sea 0, se obtiene el
+ k para retornar.
+\layout Standard
+
+Se debe aclara que los órdenes estimados más arriba se basan en la suposición
+ de que el orden de una comparación en 
+\begin_inset Formula $O(1)$
+\end_inset 
+
+.
+ En el caso de tener que comprimir archivos donde los desplazamientos queden
+ iguales o solo cambien sobre el final, los órdenes se ven muy afectados.
+ Sin embargo, para el caso promedio no se comporta tan mal.
 \layout Subsection
 
 \layout Subsection
 
-Move to Front
+Move to Front (MTF)
 \layout Standard
 
 La idea básica del move to front es mantener una lista que represente los
 \layout Standard
 
 La idea básica del move to front es mantener una lista que represente los
@@ -421,6 +637,34 @@ La idea b
  mas frecuentes al frente de esta lista.
 \layout Standard
 
  mas frecuentes al frente de esta lista.
 \layout Standard
 
+Ejemplo: 
+\layout LyX-Code
+
+Entrada: 
+\begin_inset Quotes eld
+\end_inset 
+
+aaaabbabbbaaaaaccccbbccbbbbdddddbbbb
+\begin_inset Quotes erd
+\end_inset 
+
+
+\layout LyX-Code
+
+Lista de símbolos: 
+\begin_inset Quotes eld
+\end_inset 
+
+abcd
+\begin_inset Quotes erd
+\end_inset 
+
+
+\layout LyX-Code
+
+Salida: 00001011001000200020101000300010004
+\layout Standard
+
 Un símbolo es codificado como el índice (ó posición) en la lista de símbolos
  inicial (la cual contiene a todos los símbolos diferentes del archivo o
  bloque de datos).
 Un símbolo es codificado como el índice (ó posición) en la lista de símbolos
  inicial (la cual contiene a todos los símbolos diferentes del archivo o
  bloque de datos).
@@ -428,6 +672,19 @@ Un s
  bloque original y este mismo símbolo es promovido hacia el frente de la
  lista, de esta los símbolos mas frecuentes tienden a posicionarse al frente
  de la lista.
  bloque original y este mismo símbolo es promovido hacia el frente de la
  lista, de esta los símbolos mas frecuentes tienden a posicionarse al frente
  de la lista.
+\layout Standard
+
+Como este esquema es aplicado luego de ser procesado por el 
+\emph on 
+block sorting
+\emph default 
+ tenemos la seguridad que existirá una fuerte localidad de símbolos en el
+ bloque de datos recibido, esto provocará que la salida del 
+\emph on 
+move to front 
+\emph default 
+posea una gran cantidad de cadenas de ceros consecutivos, que luego pueden
+ ser codificados nuevamente, lo que favorece la compresión final.
 \layout Subsection
 
 Huffman Estático
 \layout Subsection
 
 Huffman Estático
@@ -442,8 +699,8 @@ Si bien no ahondaremos en detalles de implementaci
 \series bold 
 HUFF_STATE
 \series default 
 \series bold 
 HUFF_STATE
 \series default 
-, en la cual se especificarán cosas tales como si el compresor actua sobre
- archivos o chunks de datos, si es un huffman canonico o standard, archivo
+, en la cual se especificarán cosas tales como si el compresor actúa sobre
+ archivos o chunks de datos, si es un huffman canónico o estándar, archivo
  a comprimir, archivo destino, etc.
 \layout Paragraph
 
  a comprimir, archivo destino, etc.
 \layout Paragraph
 
@@ -526,7 +783,7 @@ Persistencia del Modelo Estad
 
 \series medium 
 A fines de poder grabar o cargar un modelo de orden-0 el cual simplemente
 
 \series medium 
 A fines de poder grabar o cargar un modelo de orden-0 el cual simplemente
- consiste en una tabla de frecuencias/probabilidades de los 255 symbolos
+ consiste en una tabla de frecuencias/probabilidades de los 255 símbolos
  posibles en un archivo, dando lugar al Huffman Canónico que será explicado
  posteriormente, se cuenta con dos funciones: 
 \family typewriter 
  posibles en un archivo, dando lugar al Huffman Canónico que será explicado
  posteriormente, se cuenta con dos funciones: 
 \family typewriter 
@@ -535,6 +792,44 @@ shuff_save_model()
 , y 
 \family typewriter 
 shuff_load_model()
 , y 
 \family typewriter 
 shuff_load_model()
+\layout Subsection
+
+Virtual File
+\layout Standard
+
+Uno de los problemas que teníamos al principio era que las tareas estaban
+ mezcladas, entonces donde se estaba comprimiendo, se estaba guardando también
+ en un archivo y manejando la lógica de hacer los splits de los archivos.
+\layout Standard
+
+Obviamente como eso resultaba muy molesto planteamos un modelo más abstracto
+ al que llamamos Virtual File, que es una API escrita sobre la API ANSI-C
+ de Input/Output que maneja de manera transparente este tema.
+\layout Standard
+
+Utilizar la API esta tan simple como agregar una 
+\begin_inset Quotes eld
+\end_inset 
+
+v
+\begin_inset Quotes erd
+\end_inset 
+
+ delante de las funciones fopen, fclose, fread, etc y reemplazar la estructura
+ FILE por VFILE.
+\layout Standard
+
+Cuando se abre un archivo para escritura a medida que se van escribiendo
+ bytes se va incrementando un contador.
+ Si el contador llega al limite pedido, se cierra el archivo actual, se
+ abre el siguiente y se sigue escribiendo en éste, de manera totalmente
+ transparente para el usuario/programador.
+\layout Standard
+
+La lectura es similar.
+ Cada vez que se llega al EOF de un archivo, si éste no es el último volumen,
+ se cierra el archivo actual y se abre el siguiente hasta llegar al EOF
+ del último volumen.
 \layout Section
 
 
 \layout Section
 
 
@@ -828,20 +1123,5082 @@ Benchmarks
 Prueba Calgary Corpus
 \layout Standard
 
 Prueba Calgary Corpus
 \layout Standard
 
-El set de prueba Calgary Corpus Test es utilizado internacionalmente para
- la prueba y comparación de compresores, contando con archivos diseñados
- especificamente para estos fines.
- Es por ello que hemos utilizado dicho set y a continuación exponemos los
- resultados:
-\layout Paragraph
+El conjunto de prueba Calgary Corpus Test es utilizado internacionalmente
+ para la prueba y comparación de compresores, contando con archivos diseñados
+ específicamente para estos fines.
+ Es por ello que hemos utilizado dicho conjunto y a continuación exponemos
+ los resultados:
+\layout Standard
+
+
+\begin_inset Float table
+placement H
+wide false
+collapsed false
+
+\layout Caption
+
+Comparación de compresores JACU, GZIP y BZIP2 con Test de Calgary Corpus,
+ utilizando un microprocesador Athlon XP 1.7+ Thunderbird con 256 MB RAM.
+ La compresión JACU se realiza con página default de 32 Kbytes.
+\layout Standard
+\align center 
+
+\begin_inset  Tabular
+<lyxtabular version="3" rows="19" columns="7">
+<features>
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" width="0">
+<column alignment="center" valignment="top" leftline="true" rightline="true" width="0">
+<row topline="true" bottomline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+Filename
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+JACU (c)
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+GZIP (c)
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+BZIP2 (c)
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+JACU (t)
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+GZIP (t)
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+
+\series bold 
+BZIP2 (t)
+\end_inset 
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+bib
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.8618 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.5211 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+1.975 
+\size footnotesize 
+bpb
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+
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+
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+
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+
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+
+3.3535 
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-Bench 1) JACU vs GZIP vs BZIP2
 \layout Standard
 
 \layout Standard
 
-Se prueba el set de Calgary utilizando nuestro compresor, y enfrentandolo
- al GZIP y BZIP2 en términos de tiempo utilizado para la compresion y nivel
- de compresión (Bits per Byte).
- Los resultados a continuación:
+2.4531 
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+bpb
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+
 \layout Standard
 
 \layout Standard
 
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+\size footnotesize 
+bpb
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+
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+
+5.339
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+s
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+</cell>
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+
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+
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+s
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+
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+
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+</row>
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+
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+
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+
+\layout Standard
+
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+\size footnotesize 
+bpb
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+
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+
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+bpb
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+
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+
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+s
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+</cell>
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+
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+
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+<row topline="true">
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+
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+
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+</cell>
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+
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+
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+
+5.3510 
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+bpb
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+</cell>
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+\begin_inset Text
+
+\layout Standard
+
+4.447 
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+bpb
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+
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+
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+
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+
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+
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+
+3.3889 
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+bpb
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+</cell>
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+\begin_inset Text
+
+\layout Standard
+
+3.0726 
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+bpb
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+</cell>
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+\begin_inset Text
+
+\layout Standard
+
+2.516 
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+bpb
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+</cell>
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+
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+s
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+
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+
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+s
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+
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+s
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+</cell>
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+
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+
+obj1
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+
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+
+4.7653 
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+bpb
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+</cell>
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+
+\layout Standard
+
+3.8404 
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+bpb
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+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
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+
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+
+4.013 
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+bpb
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+</cell>
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+
+\layout Standard
+
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+s
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+
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+
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+
+0.046
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+s
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+</cell>
+</row>
+<row topline="true">
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+
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+
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+\end_inset 
+</cell>
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+\begin_inset Text
+
+\layout Standard
+
+3.0978 
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+bpb
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+
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+bpb
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+
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+
+2.478 
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+bpb
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+
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+s
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+s
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+</row>
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+
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+
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+
+3.0767 
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+bpb
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+
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+
+2.7955 
+\size footnotesize 
+bpb
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+
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+
+2.492 
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+bpb
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+</row>
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+
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+
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+
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+bpb
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+bpb
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+
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+
+
+\end_inset 
+
+
 \the_end
 \the_end