X-Git-Url: https://git.llucax.com/z.facultad/75.06/jacu.git/blobdiff_plain/556e04e97b53bc7ccc03bbad3d9e6cd88f36999a..a678220ecfa90dcc47b66fa4003c834a84b02717:/doc/InformeTP3.lyx

diff --git a/doc/InformeTP3.lyx b/doc/InformeTP3.lyx
index 4e648d0..7996145 100644
--- a/doc/InformeTP3.lyx
+++ b/doc/InformeTP3.lyx
@@ -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
-collapsed true
+collapsed false
 
 \layout Standard
 
@@ -229,7 +229,7 @@ La opci
 -t
 \family default 
  opcional que permite generar un archivo comprimido multivolumen, donde
- volsize será el tamaño en kbytes de cada volúmen, excepto el último que
+ volsize será el tamaño en kbytes de cada volumen, excepto el último que
  podrá ser menor.
 \layout Subsection
 
@@ -241,8 +241,8 @@ La opci
 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:
@@ -253,7 +253,7 @@ Ademas de los flags standards que hemos visto reci
 \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 
@@ -265,8 +265,7 @@ Ademas de los flags standards que hemos visto reci
 \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 
@@ -411,6 +410,210 @@ Especificaciones
 \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
 
 Move to Front (MTF)
@@ -421,6 +624,34 @@ La idea b
  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).
@@ -455,8 +686,8 @@ Si bien no ahondaremos en detalles de implementaci
 \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
 
@@ -539,7 +770,7 @@ Persistencia del Modelo Estad
 
 \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 
@@ -548,6 +779,44 @@ shuff_save_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
 
 
@@ -841,20 +1110,5082 @@ Benchmarks
 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
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.834
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.052
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
 
-Bench 1) JACU vs GZIP vs BZIP2
 \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:
+0.079
+\size footnotesize 
+s
+\end_inset 
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+book1
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3535 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.4531 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.420 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+5.339
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.205
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.508
+\size footnotesize 
+s
+\end_inset 
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
 \layout Standard
 
+book2
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.9374 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.7068 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.062 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.435
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.140
+\size footnotesize 
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+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.387
+\size footnotesize 
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+\end_inset 
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+geo
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+5.7057 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+5.3510 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.447 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.809
+\size footnotesize 
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+
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+
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+\size footnotesize 
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+\end_inset 
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+
+\layout Standard
+
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+\end_inset 
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+news
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.3889 
+\size footnotesize 
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+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.0726 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+2.516 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.961
+\size footnotesize 
+s
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
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+\size footnotesize 
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+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.228
+\size footnotesize 
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+\end_inset 
+</cell>
+</row>
+<row topline="true">
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+obj1
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.7653 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+3.8404 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+4.013 
+\size footnotesize 
+bpb
+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
+0.668
+\size footnotesize 
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+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
+
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+\size footnotesize 
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+\end_inset 
+</cell>
+<cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
+\begin_inset Text
+
+\layout Standard
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