1 Objetivo

Construir permutaciones de conjuntos de datos de personas y de nombres de equipos deportivos

2 Descripción

A partir de conjuntos datos (valores individuales) realizar permutaciones para conocer el número de las mismas y el acomodo de los valores para su interpretación en términos de probabilidad.

La diferencias entre permutaciones y combinaciones tiene que ver con la cantidad o el número de eventos.

Al hacer permutaciones, si importa el orden en que se acomodan los elementos, es decir en que columna aparecen, en la primera, segunda, tercera y y sucesivamente.

Para identificar el orden, se puede decir que no es lo mismo “Oscar”, “Paco” que “Paco”, “Oscar”, están a la inversa o el orden está invertido. Eso es una diferencia con las combinaciones, son los mismos elementos pero el orden en que se acomodan o en que aparecen los elementos está diferente.

Se deben hacer las siguientes acciones:

  • Cargar librerías

  • Cargar los datos

  • Identificar fórmula de factorial

  • Identificar fórmula de permutaciones

  • Determinar probabilidades a partir del espacio muestral de las combinaciones

  • Encontrar probabilidad con base en frecuencia o contabilizar eventos específicos del espacio muestral

  • Interpretar el caso

2.1 Cargar librerías

Se van a utilizar funciones de la librería “gtools” por lo que se necesario instalarla previamente: install.packages(“gtools”).

Esta librería permitirá hacer combinaciones y permutaciones.

# install.packages("gtools")
library(gtools)

3 Marco conceptual

Para hacer permutaciones es necesario identificar la importancia del valor factorial de un número

3.1 Factorial

El factorial de un número es el producto de \(n\) por todos los naturales menores que el y se representa con el \(!n\), entonces \(n!=n\times(n-1)...\times 1\)

La función factorial es una fórmula matemática representada por el signo de exclamación \(!\). En la fórmula Factorial se deben multiplicar todos los números enteros y positivos que hay entre el número que aparece en la fórmula y el número \(1\).

Ejemplo: hallar el factorial de 6 o se sea \(6!=6\times5\times4\times3\times2\times1=720\)

3.2 Permutaciones

La regla de conteo de permutaciones permite calcular el número de resultados experimentales cuando se seleccionan cierto número objetos de un conjunto de \(n\) objetos y el orden de selección es relevante.

Los mismos \(r\) objetos seleccionados en orden diferente se consideran un resultado experimental diferente.

3.2.1 Fórmula de permutaciones

\[ S=Pn\binom{n}{r} = \frac{n!}{(n-r)!}\\S \text{ es el espacio muestral y la cantidad de permutaciones} \\Pn \text{ es el número de permutaciones posibles}\\ \binom{n}{r} \text {es símbolo de permutar n elementos en grupos de r}\\ n \text{ es el total de elementos}\\ r \text{ es de cuantos en cuantos elementos se hacen grupos y permutaciones} \]

3.3 Ejemplo 1. Nombres de personas

Se trata de hacer permutaciones con los nombres de cuatro personas: “Oscar”, “Paco”, “Paty”, “Laura”, “Rubén”, “Luis”, “Lucy”, “Alberto”, “Juan” en grupos de 2.

Entonces \(n=9\), porque hay cuatro nombres o elementos y \(r=2\) porque se trata de agrupar o permutar de dos en dos.

¿Cuántas permutaciones deberá haber?

  • Oscar y Paco

  • Paco y Oscar

  • Oscar y Paty

  • Paty y Oscar

  • Oscar y Laura

  • Laura y Oscar

  • Paco y Paty

  • Paty y Paco

  • … …

  • … …

  • Paty y Laura

  • Laura y Paty

nombres <- c("Oscar", "Paco", "Paty", "Laura", "Rubén", "Luis", "Lucy", "Alberto","Juan","Frank","Alex","Danni","Anahy","Mari")
n <- length(nombres)
r <- 2 # ¿cómo agrupar o permutar?
Pn <- factorial(n) / factorial(n-r)
paste("Existen ", Pn , " posibles permutaciones del total de ", n , " nombres ", " en grupos de ", r ," en ", r)
## [1] "Existen  182  posibles permutaciones del total de  14  nombres   en grupos de  2  en  2"

3.4 Ejemplo 2. Nombres de equipos de fútbol en México.

Se trata de hacer combinaciones con los nombres de seis equipos de fútbol: “Atlas”, “Guadalajara”, “Monterrey”, “América”, “Cruz Azul”, “Santos” en grupos de 5. Entonces \(n=9\), porque hay seis equipos o elementos y \(r=5\) porque se trata de agrupar de tres en tres.

¿Cuántas permutaciones deberá haber?

marcas <- c("Apple", "Microsoft", "Coca-Cola", "IBM", "Google", "McDonalds", "Intel", "Samsung", "BMW","Cisco")
n <- length(marcas)
r <- 5 # ¿cómo agrupar?
Pn <- factorial(n) / factorial(n-r)
paste("Existen ", Pn , " posibles permutaciones del total de ", n , " marcas ", " en grupos de ", r ," en ", r)
## [1] "Existen  30240  posibles permutaciones del total de  10  marcas   en grupos de  5  en  5"

4 Desarrollo

Si bien la fórmula de permutaciones indica el número de permutaciones posibles de un conjunto de elementos pero lo que se desea conocer es ¿cómo se forman o cómo se verían los grupos?.

Se utiliza la función permutation

4.1 Permutaciones

Se utiliza la función permutation() y se requiere por lo menos tres atributos:

  • La cantidad de elementos n

  • Los grupos de cuanto en cuanto se forman r

  • y los elementos, o sea en este caso el vector v

4.1.1 Nombres de personas

Se muestran las posibles permutaciones de los nombres de personas. Las función permutations() ordena los valores alfabéticamente y luego construye las combinaciones.

nombres
##  [1] "Oscar"   "Paco"    "Paty"    "Laura"   "Rubén"   "Luis"    "Lucy"   
##  [8] "Alberto" "Juan"    "Frank"   "Alex"    "Danni"   "Anahy"   "Mari"
Pern.nombres <- permutations(n = length(nombres), r = 2, v = nombres)
Pern.nombres
##        [,1]      [,2]     
##   [1,] "Alberto" "Alex"   
##   [2,] "Alberto" "Anahy"  
##   [3,] "Alberto" "Danni"  
##   [4,] "Alberto" "Frank"  
##   [5,] "Alberto" "Juan"   
##   [6,] "Alberto" "Laura"  
##   [7,] "Alberto" "Lucy"   
##   [8,] "Alberto" "Luis"   
##   [9,] "Alberto" "Mari"   
##  [10,] "Alberto" "Oscar"  
##  [11,] "Alberto" "Paco"   
##  [12,] "Alberto" "Paty"   
##  [13,] "Alberto" "Rubén"  
##  [14,] "Alex"    "Alberto"
##  [15,] "Alex"    "Anahy"  
##  [16,] "Alex"    "Danni"  
##  [17,] "Alex"    "Frank"  
##  [18,] "Alex"    "Juan"   
##  [19,] "Alex"    "Laura"  
##  [20,] "Alex"    "Lucy"   
##  [21,] "Alex"    "Luis"   
##  [22,] "Alex"    "Mari"   
##  [23,] "Alex"    "Oscar"  
##  [24,] "Alex"    "Paco"   
##  [25,] "Alex"    "Paty"   
##  [26,] "Alex"    "Rubén"  
##  [27,] "Anahy"   "Alberto"
##  [28,] "Anahy"   "Alex"   
##  [29,] "Anahy"   "Danni"  
##  [30,] "Anahy"   "Frank"  
##  [31,] "Anahy"   "Juan"   
##  [32,] "Anahy"   "Laura"  
##  [33,] "Anahy"   "Lucy"   
##  [34,] "Anahy"   "Luis"   
##  [35,] "Anahy"   "Mari"   
##  [36,] "Anahy"   "Oscar"  
##  [37,] "Anahy"   "Paco"   
##  [38,] "Anahy"   "Paty"   
##  [39,] "Anahy"   "Rubén"  
##  [40,] "Danni"   "Alberto"
##  [41,] "Danni"   "Alex"   
##  [42,] "Danni"   "Anahy"  
##  [43,] "Danni"   "Frank"  
##  [44,] "Danni"   "Juan"   
##  [45,] "Danni"   "Laura"  
##  [46,] "Danni"   "Lucy"   
##  [47,] "Danni"   "Luis"   
##  [48,] "Danni"   "Mari"   
##  [49,] "Danni"   "Oscar"  
##  [50,] "Danni"   "Paco"   
##  [51,] "Danni"   "Paty"   
##  [52,] "Danni"   "Rubén"  
##  [53,] "Frank"   "Alberto"
##  [54,] "Frank"   "Alex"   
##  [55,] "Frank"   "Anahy"  
##  [56,] "Frank"   "Danni"  
##  [57,] "Frank"   "Juan"   
##  [58,] "Frank"   "Laura"  
##  [59,] "Frank"   "Lucy"   
##  [60,] "Frank"   "Luis"   
##  [61,] "Frank"   "Mari"   
##  [62,] "Frank"   "Oscar"  
##  [63,] "Frank"   "Paco"   
##  [64,] "Frank"   "Paty"   
##  [65,] "Frank"   "Rubén"  
##  [66,] "Juan"    "Alberto"
##  [67,] "Juan"    "Alex"   
##  [68,] "Juan"    "Anahy"  
##  [69,] "Juan"    "Danni"  
##  [70,] "Juan"    "Frank"  
##  [71,] "Juan"    "Laura"  
##  [72,] "Juan"    "Lucy"   
##  [73,] "Juan"    "Luis"   
##  [74,] "Juan"    "Mari"   
##  [75,] "Juan"    "Oscar"  
##  [76,] "Juan"    "Paco"   
##  [77,] "Juan"    "Paty"   
##  [78,] "Juan"    "Rubén"  
##  [79,] "Laura"   "Alberto"
##  [80,] "Laura"   "Alex"   
##  [81,] "Laura"   "Anahy"  
##  [82,] "Laura"   "Danni"  
##  [83,] "Laura"   "Frank"  
##  [84,] "Laura"   "Juan"   
##  [85,] "Laura"   "Lucy"   
##  [86,] "Laura"   "Luis"   
##  [87,] "Laura"   "Mari"   
##  [88,] "Laura"   "Oscar"  
##  [89,] "Laura"   "Paco"   
##  [90,] "Laura"   "Paty"   
##  [91,] "Laura"   "Rubén"  
##  [92,] "Lucy"    "Alberto"
##  [93,] "Lucy"    "Alex"   
##  [94,] "Lucy"    "Anahy"  
##  [95,] "Lucy"    "Danni"  
##  [96,] "Lucy"    "Frank"  
##  [97,] "Lucy"    "Juan"   
##  [98,] "Lucy"    "Laura"  
##  [99,] "Lucy"    "Luis"   
## [100,] "Lucy"    "Mari"   
## [101,] "Lucy"    "Oscar"  
## [102,] "Lucy"    "Paco"   
## [103,] "Lucy"    "Paty"   
## [104,] "Lucy"    "Rubén"  
## [105,] "Luis"    "Alberto"
## [106,] "Luis"    "Alex"   
## [107,] "Luis"    "Anahy"  
## [108,] "Luis"    "Danni"  
## [109,] "Luis"    "Frank"  
## [110,] "Luis"    "Juan"   
## [111,] "Luis"    "Laura"  
## [112,] "Luis"    "Lucy"   
## [113,] "Luis"    "Mari"   
## [114,] "Luis"    "Oscar"  
## [115,] "Luis"    "Paco"   
## [116,] "Luis"    "Paty"   
## [117,] "Luis"    "Rubén"  
## [118,] "Mari"    "Alberto"
## [119,] "Mari"    "Alex"   
## [120,] "Mari"    "Anahy"  
## [121,] "Mari"    "Danni"  
## [122,] "Mari"    "Frank"  
## [123,] "Mari"    "Juan"   
## [124,] "Mari"    "Laura"  
## [125,] "Mari"    "Lucy"   
## [126,] "Mari"    "Luis"   
## [127,] "Mari"    "Oscar"  
## [128,] "Mari"    "Paco"   
## [129,] "Mari"    "Paty"   
## [130,] "Mari"    "Rubén"  
## [131,] "Oscar"   "Alberto"
## [132,] "Oscar"   "Alex"   
## [133,] "Oscar"   "Anahy"  
## [134,] "Oscar"   "Danni"  
## [135,] "Oscar"   "Frank"  
## [136,] "Oscar"   "Juan"   
## [137,] "Oscar"   "Laura"  
## [138,] "Oscar"   "Lucy"   
## [139,] "Oscar"   "Luis"   
## [140,] "Oscar"   "Mari"   
## [141,] "Oscar"   "Paco"   
## [142,] "Oscar"   "Paty"   
## [143,] "Oscar"   "Rubén"  
## [144,] "Paco"    "Alberto"
## [145,] "Paco"    "Alex"   
## [146,] "Paco"    "Anahy"  
## [147,] "Paco"    "Danni"  
## [148,] "Paco"    "Frank"  
## [149,] "Paco"    "Juan"   
## [150,] "Paco"    "Laura"  
## [151,] "Paco"    "Lucy"   
## [152,] "Paco"    "Luis"   
## [153,] "Paco"    "Mari"   
## [154,] "Paco"    "Oscar"  
## [155,] "Paco"    "Paty"   
## [156,] "Paco"    "Rubén"  
## [157,] "Paty"    "Alberto"
## [158,] "Paty"    "Alex"   
## [159,] "Paty"    "Anahy"  
## [160,] "Paty"    "Danni"  
## [161,] "Paty"    "Frank"  
## [162,] "Paty"    "Juan"   
## [163,] "Paty"    "Laura"  
## [164,] "Paty"    "Lucy"   
## [165,] "Paty"    "Luis"   
## [166,] "Paty"    "Mari"   
## [167,] "Paty"    "Oscar"  
## [168,] "Paty"    "Paco"   
## [169,] "Paty"    "Rubén"  
## [170,] "Rubén"   "Alberto"
## [171,] "Rubén"   "Alex"   
## [172,] "Rubén"   "Anahy"  
## [173,] "Rubén"   "Danni"  
## [174,] "Rubén"   "Frank"  
## [175,] "Rubén"   "Juan"   
## [176,] "Rubén"   "Laura"  
## [177,] "Rubén"   "Lucy"   
## [178,] "Rubén"   "Luis"   
## [179,] "Rubén"   "Mari"   
## [180,] "Rubén"   "Oscar"  
## [181,] "Rubén"   "Paco"   
## [182,] "Rubén"   "Paty"

4.1.2 Nombres de equipos de marcas

Se muestran las posibles combinaciones de los nombres de equipos de fútbol.

marcas
##  [1] "Apple"     "Microsoft" "Coca-Cola" "IBM"       "Google"    "McDonalds"
##  [7] "Intel"     "Samsung"   "BMW"       "Cisco"
Pern.marcas <- permutations(n = length(marcas), r = 5, v = marcas)

Se muestran solo los primeras diez y últimas diez permutaciones de equipos

head(Pern.marcas)
##      [,1]    [,2]  [,3]    [,4]        [,5]       
## [1,] "Apple" "BMW" "Cisco" "Coca-Cola" "Google"   
## [2,] "Apple" "BMW" "Cisco" "Coca-Cola" "IBM"      
## [3,] "Apple" "BMW" "Cisco" "Coca-Cola" "Intel"    
## [4,] "Apple" "BMW" "Cisco" "Coca-Cola" "McDonalds"
## [5,] "Apple" "BMW" "Cisco" "Coca-Cola" "Microsoft"
## [6,] "Apple" "BMW" "Cisco" "Coca-Cola" "Samsung"
tail(Pern.marcas)
##          [,1]      [,2]        [,3]        [,4]    [,5]       
## [30235,] "Samsung" "Microsoft" "McDonalds" "Intel" "Apple"    
## [30236,] "Samsung" "Microsoft" "McDonalds" "Intel" "BMW"      
## [30237,] "Samsung" "Microsoft" "McDonalds" "Intel" "Cisco"    
## [30238,] "Samsung" "Microsoft" "McDonalds" "Intel" "Coca-Cola"
## [30239,] "Samsung" "Microsoft" "McDonalds" "Intel" "Google"   
## [30240,] "Samsung" "Microsoft" "McDonalds" "Intel" "IBM"

¿Para qué sirve encontrar el número de permutaciones y la forma en que se agrupan?

Eso sería el espacio muestral que ya construído éste, permite hacer interpretaciones en términos probabilísticos.

5 Interpretación

El resultado de las permutaciones permite construir un espacio muestral que ofrece la oportunidad de conocer en términos de probabilidad, la cantidad de ocasiones y lo que representa un evento conforme a todo el espacio muestral, es decir frecuencia y frecuencia porcentual.

5.1 Preguntas sobre espacio muestral nombres

¿En cuántas ocasiones aparece el nombre de Laura en permutaciones de dos en dos?. Aparece 182 ocasiones.

¿En cuántas ocasiones aparece el nombre de Oscar en las combinaciones de dos en dos? Aparece 182 ocasiones.

En las permutaciones de nombres de dos en dos, ¿en cuántas ocasiones existe Laura y Oscar juntos o contiguos y en ese orden?. Se utiliza la función subset() para hacer filtros y responder a las preguntas.

La nominación [ , ] significa acceder al valor de un data frame por la primer colmna y [ ,2] la segunda columna.

filtro <- subset(Pern.nombres, Pern.nombres[,1] == "Laura" & Pern.nombres[,2] == "Oscar")
filtro
##      [,1]    [,2]   
## [1,] "Laura" "Oscar"
frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran Laura y Oscar juntos en ese orden, de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")
## [1] "Existen  1  ocasiones en que se encuentran Laura y Oscar juntos en ese orden, de un total de  182  representan  0.55 %"

En las permutaciones de nombres de dos en dos, ¿en cuántas ocasiones existe Oscar en la primer columna de todo el espacio muestral?

filtro <- subset(Pern.nombres, Pern.nombres[,1] == "Oscar")
filtro
##       [,1]    [,2]     
##  [1,] "Oscar" "Alberto"
##  [2,] "Oscar" "Alex"   
##  [3,] "Oscar" "Anahy"  
##  [4,] "Oscar" "Danni"  
##  [5,] "Oscar" "Frank"  
##  [6,] "Oscar" "Juan"   
##  [7,] "Oscar" "Laura"  
##  [8,] "Oscar" "Lucy"   
##  [9,] "Oscar" "Luis"   
## [10,] "Oscar" "Mari"   
## [11,] "Oscar" "Paco"   
## [12,] "Oscar" "Paty"   
## [13,] "Oscar" "Rubén"
frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran Oscar en la primer columna  , de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")
## [1] "Existen  13  ocasiones en que se encuentran Oscar en la primer columna  , de un total de  182  representan  7.14 %"

En cuántas ocasiones aparece en primera columna Oscar y Paco o Paty en segunda columna

filtro <- subset(Pern.nombres, Pern.nombres[,1] == "Oscar" & (Pern.nombres[,2] == "Paco" | Pern.nombres[,2] == "Paty"))
filtro
##      [,1]    [,2]  
## [1,] "Oscar" "Paco"
## [2,] "Oscar" "Paty"
frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran aparece en primera columna Oscar y Paco o Paty en segunda columna, de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")
## [1] "Existen  2  ocasiones en que se encuentran aparece en primera columna Oscar y Paco o Paty en segunda columna, de un total de  182  representan  1.1 %"

5.2 Preguntas sobre espacio muestral marcas

En cuántas ocasiones aparece de manera contigua y en este orden las marcas de Apple y Microsoft en primera y segunda columna respectivamente.

filtro <- subset(Pern.marcas, Pern.marcas[,1] == "Apple" & Pern.marcas[,2] == "Microsoft")
filtro
##        [,1]    [,2]        [,3]        [,4]        [,5]       
##   [1,] "Apple" "Microsoft" "BMW"       "Cisco"     "Coca-Cola"
##   [2,] "Apple" "Microsoft" "BMW"       "Cisco"     "Google"   
##   [3,] "Apple" "Microsoft" "BMW"       "Cisco"     "IBM"      
##   [4,] "Apple" "Microsoft" "BMW"       "Cisco"     "Intel"    
##   [5,] "Apple" "Microsoft" "BMW"       "Cisco"     "McDonalds"
##   [6,] "Apple" "Microsoft" "BMW"       "Cisco"     "Samsung"  
##   [7,] "Apple" "Microsoft" "BMW"       "Coca-Cola" "Cisco"    
##   [8,] "Apple" "Microsoft" "BMW"       "Coca-Cola" "Google"   
##   [9,] "Apple" "Microsoft" "BMW"       "Coca-Cola" "IBM"      
##  [10,] "Apple" "Microsoft" "BMW"       "Coca-Cola" "Intel"    
##  [11,] "Apple" "Microsoft" "BMW"       "Coca-Cola" "McDonalds"
##  [12,] "Apple" "Microsoft" "BMW"       "Coca-Cola" "Samsung"  
##  [13,] "Apple" "Microsoft" "BMW"       "Google"    "Cisco"    
##  [14,] "Apple" "Microsoft" "BMW"       "Google"    "Coca-Cola"
##  [15,] "Apple" "Microsoft" "BMW"       "Google"    "IBM"      
##  [16,] "Apple" "Microsoft" "BMW"       "Google"    "Intel"    
##  [17,] "Apple" "Microsoft" "BMW"       "Google"    "McDonalds"
##  [18,] "Apple" "Microsoft" "BMW"       "Google"    "Samsung"  
##  [19,] "Apple" "Microsoft" "BMW"       "IBM"       "Cisco"    
##  [20,] "Apple" "Microsoft" "BMW"       "IBM"       "Coca-Cola"
##  [21,] "Apple" "Microsoft" "BMW"       "IBM"       "Google"   
##  [22,] "Apple" "Microsoft" "BMW"       "IBM"       "Intel"    
##  [23,] "Apple" "Microsoft" "BMW"       "IBM"       "McDonalds"
##  [24,] "Apple" "Microsoft" "BMW"       "IBM"       "Samsung"  
##  [25,] "Apple" "Microsoft" "BMW"       "Intel"     "Cisco"    
##  [26,] "Apple" "Microsoft" "BMW"       "Intel"     "Coca-Cola"
##  [27,] "Apple" "Microsoft" "BMW"       "Intel"     "Google"   
##  [28,] "Apple" "Microsoft" "BMW"       "Intel"     "IBM"      
##  [29,] "Apple" "Microsoft" "BMW"       "Intel"     "McDonalds"
##  [30,] "Apple" "Microsoft" "BMW"       "Intel"     "Samsung"  
##  [31,] "Apple" "Microsoft" "BMW"       "McDonalds" "Cisco"    
##  [32,] "Apple" "Microsoft" "BMW"       "McDonalds" "Coca-Cola"
##  [33,] "Apple" "Microsoft" "BMW"       "McDonalds" "Google"   
##  [34,] "Apple" "Microsoft" "BMW"       "McDonalds" "IBM"      
##  [35,] "Apple" "Microsoft" "BMW"       "McDonalds" "Intel"    
##  [36,] "Apple" "Microsoft" "BMW"       "McDonalds" "Samsung"  
##  [37,] "Apple" "Microsoft" "BMW"       "Samsung"   "Cisco"    
##  [38,] "Apple" "Microsoft" "BMW"       "Samsung"   "Coca-Cola"
##  [39,] "Apple" "Microsoft" "BMW"       "Samsung"   "Google"   
##  [40,] "Apple" "Microsoft" "BMW"       "Samsung"   "IBM"      
##  [41,] "Apple" "Microsoft" "BMW"       "Samsung"   "Intel"    
##  [42,] "Apple" "Microsoft" "BMW"       "Samsung"   "McDonalds"
##  [43,] "Apple" "Microsoft" "Cisco"     "BMW"       "Coca-Cola"
##  [44,] "Apple" "Microsoft" "Cisco"     "BMW"       "Google"   
##  [45,] "Apple" "Microsoft" "Cisco"     "BMW"       "IBM"      
##  [46,] "Apple" "Microsoft" "Cisco"     "BMW"       "Intel"    
##  [47,] "Apple" "Microsoft" "Cisco"     "BMW"       "McDonalds"
##  [48,] "Apple" "Microsoft" "Cisco"     "BMW"       "Samsung"  
##  [49,] "Apple" "Microsoft" "Cisco"     "Coca-Cola" "BMW"      
##  [50,] "Apple" "Microsoft" "Cisco"     "Coca-Cola" "Google"   
##  [51,] "Apple" "Microsoft" "Cisco"     "Coca-Cola" "IBM"      
##  [52,] "Apple" "Microsoft" "Cisco"     "Coca-Cola" "Intel"    
##  [53,] "Apple" "Microsoft" "Cisco"     "Coca-Cola" "McDonalds"
##  [54,] "Apple" "Microsoft" "Cisco"     "Coca-Cola" "Samsung"  
##  [55,] "Apple" "Microsoft" "Cisco"     "Google"    "BMW"      
##  [56,] "Apple" "Microsoft" "Cisco"     "Google"    "Coca-Cola"
##  [57,] "Apple" "Microsoft" "Cisco"     "Google"    "IBM"      
##  [58,] "Apple" "Microsoft" "Cisco"     "Google"    "Intel"    
##  [59,] "Apple" "Microsoft" "Cisco"     "Google"    "McDonalds"
##  [60,] "Apple" "Microsoft" "Cisco"     "Google"    "Samsung"  
##  [61,] "Apple" "Microsoft" "Cisco"     "IBM"       "BMW"      
##  [62,] "Apple" "Microsoft" "Cisco"     "IBM"       "Coca-Cola"
##  [63,] "Apple" "Microsoft" "Cisco"     "IBM"       "Google"   
##  [64,] "Apple" "Microsoft" "Cisco"     "IBM"       "Intel"    
##  [65,] "Apple" "Microsoft" "Cisco"     "IBM"       "McDonalds"
##  [66,] "Apple" "Microsoft" "Cisco"     "IBM"       "Samsung"  
##  [67,] "Apple" "Microsoft" "Cisco"     "Intel"     "BMW"      
##  [68,] "Apple" "Microsoft" "Cisco"     "Intel"     "Coca-Cola"
##  [69,] "Apple" "Microsoft" "Cisco"     "Intel"     "Google"   
##  [70,] "Apple" "Microsoft" "Cisco"     "Intel"     "IBM"      
##  [71,] "Apple" "Microsoft" "Cisco"     "Intel"     "McDonalds"
##  [72,] "Apple" "Microsoft" "Cisco"     "Intel"     "Samsung"  
##  [73,] "Apple" "Microsoft" "Cisco"     "McDonalds" "BMW"      
##  [74,] "Apple" "Microsoft" "Cisco"     "McDonalds" "Coca-Cola"
##  [75,] "Apple" "Microsoft" "Cisco"     "McDonalds" "Google"   
##  [76,] "Apple" "Microsoft" "Cisco"     "McDonalds" "IBM"      
##  [77,] "Apple" "Microsoft" "Cisco"     "McDonalds" "Intel"    
##  [78,] "Apple" "Microsoft" "Cisco"     "McDonalds" "Samsung"  
##  [79,] "Apple" "Microsoft" "Cisco"     "Samsung"   "BMW"      
##  [80,] "Apple" "Microsoft" "Cisco"     "Samsung"   "Coca-Cola"
##  [81,] "Apple" "Microsoft" "Cisco"     "Samsung"   "Google"   
##  [82,] "Apple" "Microsoft" "Cisco"     "Samsung"   "IBM"      
##  [83,] "Apple" "Microsoft" "Cisco"     "Samsung"   "Intel"    
##  [84,] "Apple" "Microsoft" "Cisco"     "Samsung"   "McDonalds"
##  [85,] "Apple" "Microsoft" "Coca-Cola" "BMW"       "Cisco"    
##  [86,] "Apple" "Microsoft" "Coca-Cola" "BMW"       "Google"   
##  [87,] "Apple" "Microsoft" "Coca-Cola" "BMW"       "IBM"      
##  [88,] "Apple" "Microsoft" "Coca-Cola" "BMW"       "Intel"    
##  [89,] "Apple" "Microsoft" "Coca-Cola" "BMW"       "McDonalds"
##  [90,] "Apple" "Microsoft" "Coca-Cola" "BMW"       "Samsung"  
##  [91,] "Apple" "Microsoft" "Coca-Cola" "Cisco"     "BMW"      
##  [92,] "Apple" "Microsoft" "Coca-Cola" "Cisco"     "Google"   
##  [93,] "Apple" "Microsoft" "Coca-Cola" "Cisco"     "IBM"      
##  [94,] "Apple" "Microsoft" "Coca-Cola" "Cisco"     "Intel"    
##  [95,] "Apple" "Microsoft" "Coca-Cola" "Cisco"     "McDonalds"
##  [96,] "Apple" "Microsoft" "Coca-Cola" "Cisco"     "Samsung"  
##  [97,] "Apple" "Microsoft" "Coca-Cola" "Google"    "BMW"      
##  [98,] "Apple" "Microsoft" "Coca-Cola" "Google"    "Cisco"    
##  [99,] "Apple" "Microsoft" "Coca-Cola" "Google"    "IBM"      
## [100,] "Apple" "Microsoft" "Coca-Cola" "Google"    "Intel"    
## [101,] "Apple" "Microsoft" "Coca-Cola" "Google"    "McDonalds"
## [102,] "Apple" "Microsoft" "Coca-Cola" "Google"    "Samsung"  
## [103,] "Apple" "Microsoft" "Coca-Cola" "IBM"       "BMW"      
## [104,] "Apple" "Microsoft" "Coca-Cola" "IBM"       "Cisco"    
## [105,] "Apple" "Microsoft" "Coca-Cola" "IBM"       "Google"   
## [106,] "Apple" "Microsoft" "Coca-Cola" "IBM"       "Intel"    
## [107,] "Apple" "Microsoft" "Coca-Cola" "IBM"       "McDonalds"
## [108,] "Apple" "Microsoft" "Coca-Cola" "IBM"       "Samsung"  
## [109,] "Apple" "Microsoft" "Coca-Cola" "Intel"     "BMW"      
## [110,] "Apple" "Microsoft" "Coca-Cola" "Intel"     "Cisco"    
## [111,] "Apple" "Microsoft" "Coca-Cola" "Intel"     "Google"   
## [112,] "Apple" "Microsoft" "Coca-Cola" "Intel"     "IBM"      
## [113,] "Apple" "Microsoft" "Coca-Cola" "Intel"     "McDonalds"
## [114,] "Apple" "Microsoft" "Coca-Cola" "Intel"     "Samsung"  
## [115,] "Apple" "Microsoft" "Coca-Cola" "McDonalds" "BMW"      
## [116,] "Apple" "Microsoft" "Coca-Cola" "McDonalds" "Cisco"    
## [117,] "Apple" "Microsoft" "Coca-Cola" "McDonalds" "Google"   
## [118,] "Apple" "Microsoft" "Coca-Cola" "McDonalds" "IBM"      
## [119,] "Apple" "Microsoft" "Coca-Cola" "McDonalds" "Intel"    
## [120,] "Apple" "Microsoft" "Coca-Cola" "McDonalds" "Samsung"  
## [121,] "Apple" "Microsoft" "Coca-Cola" "Samsung"   "BMW"      
## [122,] "Apple" "Microsoft" "Coca-Cola" "Samsung"   "Cisco"    
## [123,] "Apple" "Microsoft" "Coca-Cola" "Samsung"   "Google"   
## [124,] "Apple" "Microsoft" "Coca-Cola" "Samsung"   "IBM"      
## [125,] "Apple" "Microsoft" "Coca-Cola" "Samsung"   "Intel"    
## [126,] "Apple" "Microsoft" "Coca-Cola" "Samsung"   "McDonalds"
## [127,] "Apple" "Microsoft" "Google"    "BMW"       "Cisco"    
## [128,] "Apple" "Microsoft" "Google"    "BMW"       "Coca-Cola"
## [129,] "Apple" "Microsoft" "Google"    "BMW"       "IBM"      
## [130,] "Apple" "Microsoft" "Google"    "BMW"       "Intel"    
## [131,] "Apple" "Microsoft" "Google"    "BMW"       "McDonalds"
## [132,] "Apple" "Microsoft" "Google"    "BMW"       "Samsung"  
## [133,] "Apple" "Microsoft" "Google"    "Cisco"     "BMW"      
## [134,] "Apple" "Microsoft" "Google"    "Cisco"     "Coca-Cola"
## [135,] "Apple" "Microsoft" "Google"    "Cisco"     "IBM"      
## [136,] "Apple" "Microsoft" "Google"    "Cisco"     "Intel"    
## [137,] "Apple" "Microsoft" "Google"    "Cisco"     "McDonalds"
## [138,] "Apple" "Microsoft" "Google"    "Cisco"     "Samsung"  
## [139,] "Apple" "Microsoft" "Google"    "Coca-Cola" "BMW"      
## [140,] "Apple" "Microsoft" "Google"    "Coca-Cola" "Cisco"    
## [141,] "Apple" "Microsoft" "Google"    "Coca-Cola" "IBM"      
## [142,] "Apple" "Microsoft" "Google"    "Coca-Cola" "Intel"    
## [143,] "Apple" "Microsoft" "Google"    "Coca-Cola" "McDonalds"
## [144,] "Apple" "Microsoft" "Google"    "Coca-Cola" "Samsung"  
## [145,] "Apple" "Microsoft" "Google"    "IBM"       "BMW"      
## [146,] "Apple" "Microsoft" "Google"    "IBM"       "Cisco"    
## [147,] "Apple" "Microsoft" "Google"    "IBM"       "Coca-Cola"
## [148,] "Apple" "Microsoft" "Google"    "IBM"       "Intel"    
## [149,] "Apple" "Microsoft" "Google"    "IBM"       "McDonalds"
## [150,] "Apple" "Microsoft" "Google"    "IBM"       "Samsung"  
## [151,] "Apple" "Microsoft" "Google"    "Intel"     "BMW"      
## [152,] "Apple" "Microsoft" "Google"    "Intel"     "Cisco"    
## [153,] "Apple" "Microsoft" "Google"    "Intel"     "Coca-Cola"
## [154,] "Apple" "Microsoft" "Google"    "Intel"     "IBM"      
## [155,] "Apple" "Microsoft" "Google"    "Intel"     "McDonalds"
## [156,] "Apple" "Microsoft" "Google"    "Intel"     "Samsung"  
## [157,] "Apple" "Microsoft" "Google"    "McDonalds" "BMW"      
## [158,] "Apple" "Microsoft" "Google"    "McDonalds" "Cisco"    
## [159,] "Apple" "Microsoft" "Google"    "McDonalds" "Coca-Cola"
## [160,] "Apple" "Microsoft" "Google"    "McDonalds" "IBM"      
## [161,] "Apple" "Microsoft" "Google"    "McDonalds" "Intel"    
## [162,] "Apple" "Microsoft" "Google"    "McDonalds" "Samsung"  
## [163,] "Apple" "Microsoft" "Google"    "Samsung"   "BMW"      
## [164,] "Apple" "Microsoft" "Google"    "Samsung"   "Cisco"    
## [165,] "Apple" "Microsoft" "Google"    "Samsung"   "Coca-Cola"
## [166,] "Apple" "Microsoft" "Google"    "Samsung"   "IBM"      
## [167,] "Apple" "Microsoft" "Google"    "Samsung"   "Intel"    
## [168,] "Apple" "Microsoft" "Google"    "Samsung"   "McDonalds"
## [169,] "Apple" "Microsoft" "IBM"       "BMW"       "Cisco"    
## [170,] "Apple" "Microsoft" "IBM"       "BMW"       "Coca-Cola"
## [171,] "Apple" "Microsoft" "IBM"       "BMW"       "Google"   
## [172,] "Apple" "Microsoft" "IBM"       "BMW"       "Intel"    
## [173,] "Apple" "Microsoft" "IBM"       "BMW"       "McDonalds"
## [174,] "Apple" "Microsoft" "IBM"       "BMW"       "Samsung"  
## [175,] "Apple" "Microsoft" "IBM"       "Cisco"     "BMW"      
## [176,] "Apple" "Microsoft" "IBM"       "Cisco"     "Coca-Cola"
## [177,] "Apple" "Microsoft" "IBM"       "Cisco"     "Google"   
## [178,] "Apple" "Microsoft" "IBM"       "Cisco"     "Intel"    
## [179,] "Apple" "Microsoft" "IBM"       "Cisco"     "McDonalds"
## [180,] "Apple" "Microsoft" "IBM"       "Cisco"     "Samsung"  
## [181,] "Apple" "Microsoft" "IBM"       "Coca-Cola" "BMW"      
## [182,] "Apple" "Microsoft" "IBM"       "Coca-Cola" "Cisco"    
## [183,] "Apple" "Microsoft" "IBM"       "Coca-Cola" "Google"   
## [184,] "Apple" "Microsoft" "IBM"       "Coca-Cola" "Intel"    
## [185,] "Apple" "Microsoft" "IBM"       "Coca-Cola" "McDonalds"
## [186,] "Apple" "Microsoft" "IBM"       "Coca-Cola" "Samsung"  
## [187,] "Apple" "Microsoft" "IBM"       "Google"    "BMW"      
## [188,] "Apple" "Microsoft" "IBM"       "Google"    "Cisco"    
## [189,] "Apple" "Microsoft" "IBM"       "Google"    "Coca-Cola"
## [190,] "Apple" "Microsoft" "IBM"       "Google"    "Intel"    
## [191,] "Apple" "Microsoft" "IBM"       "Google"    "McDonalds"
## [192,] "Apple" "Microsoft" "IBM"       "Google"    "Samsung"  
## [193,] "Apple" "Microsoft" "IBM"       "Intel"     "BMW"      
## [194,] "Apple" "Microsoft" "IBM"       "Intel"     "Cisco"    
## [195,] "Apple" "Microsoft" "IBM"       "Intel"     "Coca-Cola"
## [196,] "Apple" "Microsoft" "IBM"       "Intel"     "Google"   
## [197,] "Apple" "Microsoft" "IBM"       "Intel"     "McDonalds"
## [198,] "Apple" "Microsoft" "IBM"       "Intel"     "Samsung"  
## [199,] "Apple" "Microsoft" "IBM"       "McDonalds" "BMW"      
## [200,] "Apple" "Microsoft" "IBM"       "McDonalds" "Cisco"    
## [201,] "Apple" "Microsoft" "IBM"       "McDonalds" "Coca-Cola"
## [202,] "Apple" "Microsoft" "IBM"       "McDonalds" "Google"   
## [203,] "Apple" "Microsoft" "IBM"       "McDonalds" "Intel"    
## [204,] "Apple" "Microsoft" "IBM"       "McDonalds" "Samsung"  
## [205,] "Apple" "Microsoft" "IBM"       "Samsung"   "BMW"      
## [206,] "Apple" "Microsoft" "IBM"       "Samsung"   "Cisco"    
## [207,] "Apple" "Microsoft" "IBM"       "Samsung"   "Coca-Cola"
## [208,] "Apple" "Microsoft" "IBM"       "Samsung"   "Google"   
## [209,] "Apple" "Microsoft" "IBM"       "Samsung"   "Intel"    
## [210,] "Apple" "Microsoft" "IBM"       "Samsung"   "McDonalds"
## [211,] "Apple" "Microsoft" "Intel"     "BMW"       "Cisco"    
## [212,] "Apple" "Microsoft" "Intel"     "BMW"       "Coca-Cola"
## [213,] "Apple" "Microsoft" "Intel"     "BMW"       "Google"   
## [214,] "Apple" "Microsoft" "Intel"     "BMW"       "IBM"      
## [215,] "Apple" "Microsoft" "Intel"     "BMW"       "McDonalds"
## [216,] "Apple" "Microsoft" "Intel"     "BMW"       "Samsung"  
## [217,] "Apple" "Microsoft" "Intel"     "Cisco"     "BMW"      
## [218,] "Apple" "Microsoft" "Intel"     "Cisco"     "Coca-Cola"
## [219,] "Apple" "Microsoft" "Intel"     "Cisco"     "Google"   
## [220,] "Apple" "Microsoft" "Intel"     "Cisco"     "IBM"      
## [221,] "Apple" "Microsoft" "Intel"     "Cisco"     "McDonalds"
## [222,] "Apple" "Microsoft" "Intel"     "Cisco"     "Samsung"  
## [223,] "Apple" "Microsoft" "Intel"     "Coca-Cola" "BMW"      
## [224,] "Apple" "Microsoft" "Intel"     "Coca-Cola" "Cisco"    
## [225,] "Apple" "Microsoft" "Intel"     "Coca-Cola" "Google"   
## [226,] "Apple" "Microsoft" "Intel"     "Coca-Cola" "IBM"      
## [227,] "Apple" "Microsoft" "Intel"     "Coca-Cola" "McDonalds"
## [228,] "Apple" "Microsoft" "Intel"     "Coca-Cola" "Samsung"  
## [229,] "Apple" "Microsoft" "Intel"     "Google"    "BMW"      
## [230,] "Apple" "Microsoft" "Intel"     "Google"    "Cisco"    
## [231,] "Apple" "Microsoft" "Intel"     "Google"    "Coca-Cola"
## [232,] "Apple" "Microsoft" "Intel"     "Google"    "IBM"      
## [233,] "Apple" "Microsoft" "Intel"     "Google"    "McDonalds"
## [234,] "Apple" "Microsoft" "Intel"     "Google"    "Samsung"  
## [235,] "Apple" "Microsoft" "Intel"     "IBM"       "BMW"      
## [236,] "Apple" "Microsoft" "Intel"     "IBM"       "Cisco"    
## [237,] "Apple" "Microsoft" "Intel"     "IBM"       "Coca-Cola"
## [238,] "Apple" "Microsoft" "Intel"     "IBM"       "Google"   
## [239,] "Apple" "Microsoft" "Intel"     "IBM"       "McDonalds"
## [240,] "Apple" "Microsoft" "Intel"     "IBM"       "Samsung"  
## [241,] "Apple" "Microsoft" "Intel"     "McDonalds" "BMW"      
## [242,] "Apple" "Microsoft" "Intel"     "McDonalds" "Cisco"    
## [243,] "Apple" "Microsoft" "Intel"     "McDonalds" "Coca-Cola"
## [244,] "Apple" "Microsoft" "Intel"     "McDonalds" "Google"   
## [245,] "Apple" "Microsoft" "Intel"     "McDonalds" "IBM"      
## [246,] "Apple" "Microsoft" "Intel"     "McDonalds" "Samsung"  
## [247,] "Apple" "Microsoft" "Intel"     "Samsung"   "BMW"      
## [248,] "Apple" "Microsoft" "Intel"     "Samsung"   "Cisco"    
## [249,] "Apple" "Microsoft" "Intel"     "Samsung"   "Coca-Cola"
## [250,] "Apple" "Microsoft" "Intel"     "Samsung"   "Google"   
## [251,] "Apple" "Microsoft" "Intel"     "Samsung"   "IBM"      
## [252,] "Apple" "Microsoft" "Intel"     "Samsung"   "McDonalds"
## [253,] "Apple" "Microsoft" "McDonalds" "BMW"       "Cisco"    
## [254,] "Apple" "Microsoft" "McDonalds" "BMW"       "Coca-Cola"
## [255,] "Apple" "Microsoft" "McDonalds" "BMW"       "Google"   
## [256,] "Apple" "Microsoft" "McDonalds" "BMW"       "IBM"      
## [257,] "Apple" "Microsoft" "McDonalds" "BMW"       "Intel"    
## [258,] "Apple" "Microsoft" "McDonalds" "BMW"       "Samsung"  
## [259,] "Apple" "Microsoft" "McDonalds" "Cisco"     "BMW"      
## [260,] "Apple" "Microsoft" "McDonalds" "Cisco"     "Coca-Cola"
## [261,] "Apple" "Microsoft" "McDonalds" "Cisco"     "Google"   
## [262,] "Apple" "Microsoft" "McDonalds" "Cisco"     "IBM"      
## [263,] "Apple" "Microsoft" "McDonalds" "Cisco"     "Intel"    
## [264,] "Apple" "Microsoft" "McDonalds" "Cisco"     "Samsung"  
## [265,] "Apple" "Microsoft" "McDonalds" "Coca-Cola" "BMW"      
## [266,] "Apple" "Microsoft" "McDonalds" "Coca-Cola" "Cisco"    
## [267,] "Apple" "Microsoft" "McDonalds" "Coca-Cola" "Google"   
## [268,] "Apple" "Microsoft" "McDonalds" "Coca-Cola" "IBM"      
## [269,] "Apple" "Microsoft" "McDonalds" "Coca-Cola" "Intel"    
## [270,] "Apple" "Microsoft" "McDonalds" "Coca-Cola" "Samsung"  
## [271,] "Apple" "Microsoft" "McDonalds" "Google"    "BMW"      
## [272,] "Apple" "Microsoft" "McDonalds" "Google"    "Cisco"    
## [273,] "Apple" "Microsoft" "McDonalds" "Google"    "Coca-Cola"
## [274,] "Apple" "Microsoft" "McDonalds" "Google"    "IBM"      
## [275,] "Apple" "Microsoft" "McDonalds" "Google"    "Intel"    
## [276,] "Apple" "Microsoft" "McDonalds" "Google"    "Samsung"  
## [277,] "Apple" "Microsoft" "McDonalds" "IBM"       "BMW"      
## [278,] "Apple" "Microsoft" "McDonalds" "IBM"       "Cisco"    
## [279,] "Apple" "Microsoft" "McDonalds" "IBM"       "Coca-Cola"
## [280,] "Apple" "Microsoft" "McDonalds" "IBM"       "Google"   
## [281,] "Apple" "Microsoft" "McDonalds" "IBM"       "Intel"    
## [282,] "Apple" "Microsoft" "McDonalds" "IBM"       "Samsung"  
## [283,] "Apple" "Microsoft" "McDonalds" "Intel"     "BMW"      
## [284,] "Apple" "Microsoft" "McDonalds" "Intel"     "Cisco"    
## [285,] "Apple" "Microsoft" "McDonalds" "Intel"     "Coca-Cola"
## [286,] "Apple" "Microsoft" "McDonalds" "Intel"     "Google"   
## [287,] "Apple" "Microsoft" "McDonalds" "Intel"     "IBM"      
## [288,] "Apple" "Microsoft" "McDonalds" "Intel"     "Samsung"  
## [289,] "Apple" "Microsoft" "McDonalds" "Samsung"   "BMW"      
## [290,] "Apple" "Microsoft" "McDonalds" "Samsung"   "Cisco"    
## [291,] "Apple" "Microsoft" "McDonalds" "Samsung"   "Coca-Cola"
## [292,] "Apple" "Microsoft" "McDonalds" "Samsung"   "Google"   
## [293,] "Apple" "Microsoft" "McDonalds" "Samsung"   "IBM"      
## [294,] "Apple" "Microsoft" "McDonalds" "Samsung"   "Intel"    
## [295,] "Apple" "Microsoft" "Samsung"   "BMW"       "Cisco"    
## [296,] "Apple" "Microsoft" "Samsung"   "BMW"       "Coca-Cola"
## [297,] "Apple" "Microsoft" "Samsung"   "BMW"       "Google"   
## [298,] "Apple" "Microsoft" "Samsung"   "BMW"       "IBM"      
## [299,] "Apple" "Microsoft" "Samsung"   "BMW"       "Intel"    
## [300,] "Apple" "Microsoft" "Samsung"   "BMW"       "McDonalds"
## [301,] "Apple" "Microsoft" "Samsung"   "Cisco"     "BMW"      
## [302,] "Apple" "Microsoft" "Samsung"   "Cisco"     "Coca-Cola"
## [303,] "Apple" "Microsoft" "Samsung"   "Cisco"     "Google"   
## [304,] "Apple" "Microsoft" "Samsung"   "Cisco"     "IBM"      
## [305,] "Apple" "Microsoft" "Samsung"   "Cisco"     "Intel"    
## [306,] "Apple" "Microsoft" "Samsung"   "Cisco"     "McDonalds"
## [307,] "Apple" "Microsoft" "Samsung"   "Coca-Cola" "BMW"      
## [308,] "Apple" "Microsoft" "Samsung"   "Coca-Cola" "Cisco"    
## [309,] "Apple" "Microsoft" "Samsung"   "Coca-Cola" "Google"   
## [310,] "Apple" "Microsoft" "Samsung"   "Coca-Cola" "IBM"      
## [311,] "Apple" "Microsoft" "Samsung"   "Coca-Cola" "Intel"    
## [312,] "Apple" "Microsoft" "Samsung"   "Coca-Cola" "McDonalds"
## [313,] "Apple" "Microsoft" "Samsung"   "Google"    "BMW"      
## [314,] "Apple" "Microsoft" "Samsung"   "Google"    "Cisco"    
## [315,] "Apple" "Microsoft" "Samsung"   "Google"    "Coca-Cola"
## [316,] "Apple" "Microsoft" "Samsung"   "Google"    "IBM"      
## [317,] "Apple" "Microsoft" "Samsung"   "Google"    "Intel"    
## [318,] "Apple" "Microsoft" "Samsung"   "Google"    "McDonalds"
## [319,] "Apple" "Microsoft" "Samsung"   "IBM"       "BMW"      
## [320,] "Apple" "Microsoft" "Samsung"   "IBM"       "Cisco"    
## [321,] "Apple" "Microsoft" "Samsung"   "IBM"       "Coca-Cola"
## [322,] "Apple" "Microsoft" "Samsung"   "IBM"       "Google"   
## [323,] "Apple" "Microsoft" "Samsung"   "IBM"       "Intel"    
## [324,] "Apple" "Microsoft" "Samsung"   "IBM"       "McDonalds"
## [325,] "Apple" "Microsoft" "Samsung"   "Intel"     "BMW"      
## [326,] "Apple" "Microsoft" "Samsung"   "Intel"     "Cisco"    
## [327,] "Apple" "Microsoft" "Samsung"   "Intel"     "Coca-Cola"
## [328,] "Apple" "Microsoft" "Samsung"   "Intel"     "Google"   
## [329,] "Apple" "Microsoft" "Samsung"   "Intel"     "IBM"      
## [330,] "Apple" "Microsoft" "Samsung"   "Intel"     "McDonalds"
## [331,] "Apple" "Microsoft" "Samsung"   "McDonalds" "BMW"      
## [332,] "Apple" "Microsoft" "Samsung"   "McDonalds" "Cisco"    
## [333,] "Apple" "Microsoft" "Samsung"   "McDonalds" "Coca-Cola"
## [334,] "Apple" "Microsoft" "Samsung"   "McDonalds" "Google"   
## [335,] "Apple" "Microsoft" "Samsung"   "McDonalds" "IBM"      
## [336,] "Apple" "Microsoft" "Samsung"   "McDonalds" "Intel"
frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran Apple y Microsoft juntos en ese orden, de un total de ", nrow(Pern.marcas), " representan ", round(frecuencia / nrow(Pern.marcas) * 100, 2), "%")
## [1] "Existen  336  ocasiones en que se encuentran Apple y Microsoft juntos en ese orden, de un total de  30240  representan  1.11 %"

En cuántas ocasiones aparece de manera contigua y en este orden los equipos de Coca-Cola y BMW en primera y segunda columna respectivamente.

filtro <- subset(Pern.marcas, Pern.marcas[,1] == "Coca-Cola" & Pern.marcas[,2] == "BMW")
filtro
##        [,1]        [,2]  [,3]        [,4]        [,5]       
##   [1,] "Coca-Cola" "BMW" "Apple"     "Cisco"     "Google"   
##   [2,] "Coca-Cola" "BMW" "Apple"     "Cisco"     "IBM"      
##   [3,] "Coca-Cola" "BMW" "Apple"     "Cisco"     "Intel"    
##   [4,] "Coca-Cola" "BMW" "Apple"     "Cisco"     "McDonalds"
##   [5,] "Coca-Cola" "BMW" "Apple"     "Cisco"     "Microsoft"
##   [6,] "Coca-Cola" "BMW" "Apple"     "Cisco"     "Samsung"  
##   [7,] "Coca-Cola" "BMW" "Apple"     "Google"    "Cisco"    
##   [8,] "Coca-Cola" "BMW" "Apple"     "Google"    "IBM"      
##   [9,] "Coca-Cola" "BMW" "Apple"     "Google"    "Intel"    
##  [10,] "Coca-Cola" "BMW" "Apple"     "Google"    "McDonalds"
##  [11,] "Coca-Cola" "BMW" "Apple"     "Google"    "Microsoft"
##  [12,] "Coca-Cola" "BMW" "Apple"     "Google"    "Samsung"  
##  [13,] "Coca-Cola" "BMW" "Apple"     "IBM"       "Cisco"    
##  [14,] "Coca-Cola" "BMW" "Apple"     "IBM"       "Google"   
##  [15,] "Coca-Cola" "BMW" "Apple"     "IBM"       "Intel"    
##  [16,] "Coca-Cola" "BMW" "Apple"     "IBM"       "McDonalds"
##  [17,] "Coca-Cola" "BMW" "Apple"     "IBM"       "Microsoft"
##  [18,] "Coca-Cola" "BMW" "Apple"     "IBM"       "Samsung"  
##  [19,] "Coca-Cola" "BMW" "Apple"     "Intel"     "Cisco"    
##  [20,] "Coca-Cola" "BMW" "Apple"     "Intel"     "Google"   
##  [21,] "Coca-Cola" "BMW" "Apple"     "Intel"     "IBM"      
##  [22,] "Coca-Cola" "BMW" "Apple"     "Intel"     "McDonalds"
##  [23,] "Coca-Cola" "BMW" "Apple"     "Intel"     "Microsoft"
##  [24,] "Coca-Cola" "BMW" "Apple"     "Intel"     "Samsung"  
##  [25,] "Coca-Cola" "BMW" "Apple"     "McDonalds" "Cisco"    
##  [26,] "Coca-Cola" "BMW" "Apple"     "McDonalds" "Google"   
##  [27,] "Coca-Cola" "BMW" "Apple"     "McDonalds" "IBM"      
##  [28,] "Coca-Cola" "BMW" "Apple"     "McDonalds" "Intel"    
##  [29,] "Coca-Cola" "BMW" "Apple"     "McDonalds" "Microsoft"
##  [30,] "Coca-Cola" "BMW" "Apple"     "McDonalds" "Samsung"  
##  [31,] "Coca-Cola" "BMW" "Apple"     "Microsoft" "Cisco"    
##  [32,] "Coca-Cola" "BMW" "Apple"     "Microsoft" "Google"   
##  [33,] "Coca-Cola" "BMW" "Apple"     "Microsoft" "IBM"      
##  [34,] "Coca-Cola" "BMW" "Apple"     "Microsoft" "Intel"    
##  [35,] "Coca-Cola" "BMW" "Apple"     "Microsoft" "McDonalds"
##  [36,] "Coca-Cola" "BMW" "Apple"     "Microsoft" "Samsung"  
##  [37,] "Coca-Cola" "BMW" "Apple"     "Samsung"   "Cisco"    
##  [38,] "Coca-Cola" "BMW" "Apple"     "Samsung"   "Google"   
##  [39,] "Coca-Cola" "BMW" "Apple"     "Samsung"   "IBM"      
##  [40,] "Coca-Cola" "BMW" "Apple"     "Samsung"   "Intel"    
##  [41,] "Coca-Cola" "BMW" "Apple"     "Samsung"   "McDonalds"
##  [42,] "Coca-Cola" "BMW" "Apple"     "Samsung"   "Microsoft"
##  [43,] "Coca-Cola" "BMW" "Cisco"     "Apple"     "Google"   
##  [44,] "Coca-Cola" "BMW" "Cisco"     "Apple"     "IBM"      
##  [45,] "Coca-Cola" "BMW" "Cisco"     "Apple"     "Intel"    
##  [46,] "Coca-Cola" "BMW" "Cisco"     "Apple"     "McDonalds"
##  [47,] "Coca-Cola" "BMW" "Cisco"     "Apple"     "Microsoft"
##  [48,] "Coca-Cola" "BMW" "Cisco"     "Apple"     "Samsung"  
##  [49,] "Coca-Cola" "BMW" "Cisco"     "Google"    "Apple"    
##  [50,] "Coca-Cola" "BMW" "Cisco"     "Google"    "IBM"      
##  [51,] "Coca-Cola" "BMW" "Cisco"     "Google"    "Intel"    
##  [52,] "Coca-Cola" "BMW" "Cisco"     "Google"    "McDonalds"
##  [53,] "Coca-Cola" "BMW" "Cisco"     "Google"    "Microsoft"
##  [54,] "Coca-Cola" "BMW" "Cisco"     "Google"    "Samsung"  
##  [55,] "Coca-Cola" "BMW" "Cisco"     "IBM"       "Apple"    
##  [56,] "Coca-Cola" "BMW" "Cisco"     "IBM"       "Google"   
##  [57,] "Coca-Cola" "BMW" "Cisco"     "IBM"       "Intel"    
##  [58,] "Coca-Cola" "BMW" "Cisco"     "IBM"       "McDonalds"
##  [59,] "Coca-Cola" "BMW" "Cisco"     "IBM"       "Microsoft"
##  [60,] "Coca-Cola" "BMW" "Cisco"     "IBM"       "Samsung"  
##  [61,] "Coca-Cola" "BMW" "Cisco"     "Intel"     "Apple"    
##  [62,] "Coca-Cola" "BMW" "Cisco"     "Intel"     "Google"   
##  [63,] "Coca-Cola" "BMW" "Cisco"     "Intel"     "IBM"      
##  [64,] "Coca-Cola" "BMW" "Cisco"     "Intel"     "McDonalds"
##  [65,] "Coca-Cola" "BMW" "Cisco"     "Intel"     "Microsoft"
##  [66,] "Coca-Cola" "BMW" "Cisco"     "Intel"     "Samsung"  
##  [67,] "Coca-Cola" "BMW" "Cisco"     "McDonalds" "Apple"    
##  [68,] "Coca-Cola" "BMW" "Cisco"     "McDonalds" "Google"   
##  [69,] "Coca-Cola" "BMW" "Cisco"     "McDonalds" "IBM"      
##  [70,] "Coca-Cola" "BMW" "Cisco"     "McDonalds" "Intel"    
##  [71,] "Coca-Cola" "BMW" "Cisco"     "McDonalds" "Microsoft"
##  [72,] "Coca-Cola" "BMW" "Cisco"     "McDonalds" "Samsung"  
##  [73,] "Coca-Cola" "BMW" "Cisco"     "Microsoft" "Apple"    
##  [74,] "Coca-Cola" "BMW" "Cisco"     "Microsoft" "Google"   
##  [75,] "Coca-Cola" "BMW" "Cisco"     "Microsoft" "IBM"      
##  [76,] "Coca-Cola" "BMW" "Cisco"     "Microsoft" "Intel"    
##  [77,] "Coca-Cola" "BMW" "Cisco"     "Microsoft" "McDonalds"
##  [78,] "Coca-Cola" "BMW" "Cisco"     "Microsoft" "Samsung"  
##  [79,] "Coca-Cola" "BMW" "Cisco"     "Samsung"   "Apple"    
##  [80,] "Coca-Cola" "BMW" "Cisco"     "Samsung"   "Google"   
##  [81,] "Coca-Cola" "BMW" "Cisco"     "Samsung"   "IBM"      
##  [82,] "Coca-Cola" "BMW" "Cisco"     "Samsung"   "Intel"    
##  [83,] "Coca-Cola" "BMW" "Cisco"     "Samsung"   "McDonalds"
##  [84,] "Coca-Cola" "BMW" "Cisco"     "Samsung"   "Microsoft"
##  [85,] "Coca-Cola" "BMW" "Google"    "Apple"     "Cisco"    
##  [86,] "Coca-Cola" "BMW" "Google"    "Apple"     "IBM"      
##  [87,] "Coca-Cola" "BMW" "Google"    "Apple"     "Intel"    
##  [88,] "Coca-Cola" "BMW" "Google"    "Apple"     "McDonalds"
##  [89,] "Coca-Cola" "BMW" "Google"    "Apple"     "Microsoft"
##  [90,] "Coca-Cola" "BMW" "Google"    "Apple"     "Samsung"  
##  [91,] "Coca-Cola" "BMW" "Google"    "Cisco"     "Apple"    
##  [92,] "Coca-Cola" "BMW" "Google"    "Cisco"     "IBM"      
##  [93,] "Coca-Cola" "BMW" "Google"    "Cisco"     "Intel"    
##  [94,] "Coca-Cola" "BMW" "Google"    "Cisco"     "McDonalds"
##  [95,] "Coca-Cola" "BMW" "Google"    "Cisco"     "Microsoft"
##  [96,] "Coca-Cola" "BMW" "Google"    "Cisco"     "Samsung"  
##  [97,] "Coca-Cola" "BMW" "Google"    "IBM"       "Apple"    
##  [98,] "Coca-Cola" "BMW" "Google"    "IBM"       "Cisco"    
##  [99,] "Coca-Cola" "BMW" "Google"    "IBM"       "Intel"    
## [100,] "Coca-Cola" "BMW" "Google"    "IBM"       "McDonalds"
## [101,] "Coca-Cola" "BMW" "Google"    "IBM"       "Microsoft"
## [102,] "Coca-Cola" "BMW" "Google"    "IBM"       "Samsung"  
## [103,] "Coca-Cola" "BMW" "Google"    "Intel"     "Apple"    
## [104,] "Coca-Cola" "BMW" "Google"    "Intel"     "Cisco"    
## [105,] "Coca-Cola" "BMW" "Google"    "Intel"     "IBM"      
## [106,] "Coca-Cola" "BMW" "Google"    "Intel"     "McDonalds"
## [107,] "Coca-Cola" "BMW" "Google"    "Intel"     "Microsoft"
## [108,] "Coca-Cola" "BMW" "Google"    "Intel"     "Samsung"  
## [109,] "Coca-Cola" "BMW" "Google"    "McDonalds" "Apple"    
## [110,] "Coca-Cola" "BMW" "Google"    "McDonalds" "Cisco"    
## [111,] "Coca-Cola" "BMW" "Google"    "McDonalds" "IBM"      
## [112,] "Coca-Cola" "BMW" "Google"    "McDonalds" "Intel"    
## [113,] "Coca-Cola" "BMW" "Google"    "McDonalds" "Microsoft"
## [114,] "Coca-Cola" "BMW" "Google"    "McDonalds" "Samsung"  
## [115,] "Coca-Cola" "BMW" "Google"    "Microsoft" "Apple"    
## [116,] "Coca-Cola" "BMW" "Google"    "Microsoft" "Cisco"    
## [117,] "Coca-Cola" "BMW" "Google"    "Microsoft" "IBM"      
## [118,] "Coca-Cola" "BMW" "Google"    "Microsoft" "Intel"    
## [119,] "Coca-Cola" "BMW" "Google"    "Microsoft" "McDonalds"
## [120,] "Coca-Cola" "BMW" "Google"    "Microsoft" "Samsung"  
## [121,] "Coca-Cola" "BMW" "Google"    "Samsung"   "Apple"    
## [122,] "Coca-Cola" "BMW" "Google"    "Samsung"   "Cisco"    
## [123,] "Coca-Cola" "BMW" "Google"    "Samsung"   "IBM"      
## [124,] "Coca-Cola" "BMW" "Google"    "Samsung"   "Intel"    
## [125,] "Coca-Cola" "BMW" "Google"    "Samsung"   "McDonalds"
## [126,] "Coca-Cola" "BMW" "Google"    "Samsung"   "Microsoft"
## [127,] "Coca-Cola" "BMW" "IBM"       "Apple"     "Cisco"    
## [128,] "Coca-Cola" "BMW" "IBM"       "Apple"     "Google"   
## [129,] "Coca-Cola" "BMW" "IBM"       "Apple"     "Intel"    
## [130,] "Coca-Cola" "BMW" "IBM"       "Apple"     "McDonalds"
## [131,] "Coca-Cola" "BMW" "IBM"       "Apple"     "Microsoft"
## [132,] "Coca-Cola" "BMW" "IBM"       "Apple"     "Samsung"  
## [133,] "Coca-Cola" "BMW" "IBM"       "Cisco"     "Apple"    
## [134,] "Coca-Cola" "BMW" "IBM"       "Cisco"     "Google"   
## [135,] "Coca-Cola" "BMW" "IBM"       "Cisco"     "Intel"    
## [136,] "Coca-Cola" "BMW" "IBM"       "Cisco"     "McDonalds"
## [137,] "Coca-Cola" "BMW" "IBM"       "Cisco"     "Microsoft"
## [138,] "Coca-Cola" "BMW" "IBM"       "Cisco"     "Samsung"  
## [139,] "Coca-Cola" "BMW" "IBM"       "Google"    "Apple"    
## [140,] "Coca-Cola" "BMW" "IBM"       "Google"    "Cisco"    
## [141,] "Coca-Cola" "BMW" "IBM"       "Google"    "Intel"    
## [142,] "Coca-Cola" "BMW" "IBM"       "Google"    "McDonalds"
## [143,] "Coca-Cola" "BMW" "IBM"       "Google"    "Microsoft"
## [144,] "Coca-Cola" "BMW" "IBM"       "Google"    "Samsung"  
## [145,] "Coca-Cola" "BMW" "IBM"       "Intel"     "Apple"    
## [146,] "Coca-Cola" "BMW" "IBM"       "Intel"     "Cisco"    
## [147,] "Coca-Cola" "BMW" "IBM"       "Intel"     "Google"   
## [148,] "Coca-Cola" "BMW" "IBM"       "Intel"     "McDonalds"
## [149,] "Coca-Cola" "BMW" "IBM"       "Intel"     "Microsoft"
## [150,] "Coca-Cola" "BMW" "IBM"       "Intel"     "Samsung"  
## [151,] "Coca-Cola" "BMW" "IBM"       "McDonalds" "Apple"    
## [152,] "Coca-Cola" "BMW" "IBM"       "McDonalds" "Cisco"    
## [153,] "Coca-Cola" "BMW" "IBM"       "McDonalds" "Google"   
## [154,] "Coca-Cola" "BMW" "IBM"       "McDonalds" "Intel"    
## [155,] "Coca-Cola" "BMW" "IBM"       "McDonalds" "Microsoft"
## [156,] "Coca-Cola" "BMW" "IBM"       "McDonalds" "Samsung"  
## [157,] "Coca-Cola" "BMW" "IBM"       "Microsoft" "Apple"    
## [158,] "Coca-Cola" "BMW" "IBM"       "Microsoft" "Cisco"    
## [159,] "Coca-Cola" "BMW" "IBM"       "Microsoft" "Google"   
## [160,] "Coca-Cola" "BMW" "IBM"       "Microsoft" "Intel"    
## [161,] "Coca-Cola" "BMW" "IBM"       "Microsoft" "McDonalds"
## [162,] "Coca-Cola" "BMW" "IBM"       "Microsoft" "Samsung"  
## [163,] "Coca-Cola" "BMW" "IBM"       "Samsung"   "Apple"    
## [164,] "Coca-Cola" "BMW" "IBM"       "Samsung"   "Cisco"    
## [165,] "Coca-Cola" "BMW" "IBM"       "Samsung"   "Google"   
## [166,] "Coca-Cola" "BMW" "IBM"       "Samsung"   "Intel"    
## [167,] "Coca-Cola" "BMW" "IBM"       "Samsung"   "McDonalds"
## [168,] "Coca-Cola" "BMW" "IBM"       "Samsung"   "Microsoft"
## [169,] "Coca-Cola" "BMW" "Intel"     "Apple"     "Cisco"    
## [170,] "Coca-Cola" "BMW" "Intel"     "Apple"     "Google"   
## [171,] "Coca-Cola" "BMW" "Intel"     "Apple"     "IBM"      
## [172,] "Coca-Cola" "BMW" "Intel"     "Apple"     "McDonalds"
## [173,] "Coca-Cola" "BMW" "Intel"     "Apple"     "Microsoft"
## [174,] "Coca-Cola" "BMW" "Intel"     "Apple"     "Samsung"  
## [175,] "Coca-Cola" "BMW" "Intel"     "Cisco"     "Apple"    
## [176,] "Coca-Cola" "BMW" "Intel"     "Cisco"     "Google"   
## [177,] "Coca-Cola" "BMW" "Intel"     "Cisco"     "IBM"      
## [178,] "Coca-Cola" "BMW" "Intel"     "Cisco"     "McDonalds"
## [179,] "Coca-Cola" "BMW" "Intel"     "Cisco"     "Microsoft"
## [180,] "Coca-Cola" "BMW" "Intel"     "Cisco"     "Samsung"  
## [181,] "Coca-Cola" "BMW" "Intel"     "Google"    "Apple"    
## [182,] "Coca-Cola" "BMW" "Intel"     "Google"    "Cisco"    
## [183,] "Coca-Cola" "BMW" "Intel"     "Google"    "IBM"      
## [184,] "Coca-Cola" "BMW" "Intel"     "Google"    "McDonalds"
## [185,] "Coca-Cola" "BMW" "Intel"     "Google"    "Microsoft"
## [186,] "Coca-Cola" "BMW" "Intel"     "Google"    "Samsung"  
## [187,] "Coca-Cola" "BMW" "Intel"     "IBM"       "Apple"    
## [188,] "Coca-Cola" "BMW" "Intel"     "IBM"       "Cisco"    
## [189,] "Coca-Cola" "BMW" "Intel"     "IBM"       "Google"   
## [190,] "Coca-Cola" "BMW" "Intel"     "IBM"       "McDonalds"
## [191,] "Coca-Cola" "BMW" "Intel"     "IBM"       "Microsoft"
## [192,] "Coca-Cola" "BMW" "Intel"     "IBM"       "Samsung"  
## [193,] "Coca-Cola" "BMW" "Intel"     "McDonalds" "Apple"    
## [194,] "Coca-Cola" "BMW" "Intel"     "McDonalds" "Cisco"    
## [195,] "Coca-Cola" "BMW" "Intel"     "McDonalds" "Google"   
## [196,] "Coca-Cola" "BMW" "Intel"     "McDonalds" "IBM"      
## [197,] "Coca-Cola" "BMW" "Intel"     "McDonalds" "Microsoft"
## [198,] "Coca-Cola" "BMW" "Intel"     "McDonalds" "Samsung"  
## [199,] "Coca-Cola" "BMW" "Intel"     "Microsoft" "Apple"    
## [200,] "Coca-Cola" "BMW" "Intel"     "Microsoft" "Cisco"    
## [201,] "Coca-Cola" "BMW" "Intel"     "Microsoft" "Google"   
## [202,] "Coca-Cola" "BMW" "Intel"     "Microsoft" "IBM"      
## [203,] "Coca-Cola" "BMW" "Intel"     "Microsoft" "McDonalds"
## [204,] "Coca-Cola" "BMW" "Intel"     "Microsoft" "Samsung"  
## [205,] "Coca-Cola" "BMW" "Intel"     "Samsung"   "Apple"    
## [206,] "Coca-Cola" "BMW" "Intel"     "Samsung"   "Cisco"    
## [207,] "Coca-Cola" "BMW" "Intel"     "Samsung"   "Google"   
## [208,] "Coca-Cola" "BMW" "Intel"     "Samsung"   "IBM"      
## [209,] "Coca-Cola" "BMW" "Intel"     "Samsung"   "McDonalds"
## [210,] "Coca-Cola" "BMW" "Intel"     "Samsung"   "Microsoft"
## [211,] "Coca-Cola" "BMW" "McDonalds" "Apple"     "Cisco"    
## [212,] "Coca-Cola" "BMW" "McDonalds" "Apple"     "Google"   
## [213,] "Coca-Cola" "BMW" "McDonalds" "Apple"     "IBM"      
## [214,] "Coca-Cola" "BMW" "McDonalds" "Apple"     "Intel"    
## [215,] "Coca-Cola" "BMW" "McDonalds" "Apple"     "Microsoft"
## [216,] "Coca-Cola" "BMW" "McDonalds" "Apple"     "Samsung"  
## [217,] "Coca-Cola" "BMW" "McDonalds" "Cisco"     "Apple"    
## [218,] "Coca-Cola" "BMW" "McDonalds" "Cisco"     "Google"   
## [219,] "Coca-Cola" "BMW" "McDonalds" "Cisco"     "IBM"      
## [220,] "Coca-Cola" "BMW" "McDonalds" "Cisco"     "Intel"    
## [221,] "Coca-Cola" "BMW" "McDonalds" "Cisco"     "Microsoft"
## [222,] "Coca-Cola" "BMW" "McDonalds" "Cisco"     "Samsung"  
## [223,] "Coca-Cola" "BMW" "McDonalds" "Google"    "Apple"    
## [224,] "Coca-Cola" "BMW" "McDonalds" "Google"    "Cisco"    
## [225,] "Coca-Cola" "BMW" "McDonalds" "Google"    "IBM"      
## [226,] "Coca-Cola" "BMW" "McDonalds" "Google"    "Intel"    
## [227,] "Coca-Cola" "BMW" "McDonalds" "Google"    "Microsoft"
## [228,] "Coca-Cola" "BMW" "McDonalds" "Google"    "Samsung"  
## [229,] "Coca-Cola" "BMW" "McDonalds" "IBM"       "Apple"    
## [230,] "Coca-Cola" "BMW" "McDonalds" "IBM"       "Cisco"    
## [231,] "Coca-Cola" "BMW" "McDonalds" "IBM"       "Google"   
## [232,] "Coca-Cola" "BMW" "McDonalds" "IBM"       "Intel"    
## [233,] "Coca-Cola" "BMW" "McDonalds" "IBM"       "Microsoft"
## [234,] "Coca-Cola" "BMW" "McDonalds" "IBM"       "Samsung"  
## [235,] "Coca-Cola" "BMW" "McDonalds" "Intel"     "Apple"    
## [236,] "Coca-Cola" "BMW" "McDonalds" "Intel"     "Cisco"    
## [237,] "Coca-Cola" "BMW" "McDonalds" "Intel"     "Google"   
## [238,] "Coca-Cola" "BMW" "McDonalds" "Intel"     "IBM"      
## [239,] "Coca-Cola" "BMW" "McDonalds" "Intel"     "Microsoft"
## [240,] "Coca-Cola" "BMW" "McDonalds" "Intel"     "Samsung"  
## [241,] "Coca-Cola" "BMW" "McDonalds" "Microsoft" "Apple"    
## [242,] "Coca-Cola" "BMW" "McDonalds" "Microsoft" "Cisco"    
## [243,] "Coca-Cola" "BMW" "McDonalds" "Microsoft" "Google"   
## [244,] "Coca-Cola" "BMW" "McDonalds" "Microsoft" "IBM"      
## [245,] "Coca-Cola" "BMW" "McDonalds" "Microsoft" "Intel"    
## [246,] "Coca-Cola" "BMW" "McDonalds" "Microsoft" "Samsung"  
## [247,] "Coca-Cola" "BMW" "McDonalds" "Samsung"   "Apple"    
## [248,] "Coca-Cola" "BMW" "McDonalds" "Samsung"   "Cisco"    
## [249,] "Coca-Cola" "BMW" "McDonalds" "Samsung"   "Google"   
## [250,] "Coca-Cola" "BMW" "McDonalds" "Samsung"   "IBM"      
## [251,] "Coca-Cola" "BMW" "McDonalds" "Samsung"   "Intel"    
## [252,] "Coca-Cola" "BMW" "McDonalds" "Samsung"   "Microsoft"
## [253,] "Coca-Cola" "BMW" "Microsoft" "Apple"     "Cisco"    
## [254,] "Coca-Cola" "BMW" "Microsoft" "Apple"     "Google"   
## [255,] "Coca-Cola" "BMW" "Microsoft" "Apple"     "IBM"      
## [256,] "Coca-Cola" "BMW" "Microsoft" "Apple"     "Intel"    
## [257,] "Coca-Cola" "BMW" "Microsoft" "Apple"     "McDonalds"
## [258,] "Coca-Cola" "BMW" "Microsoft" "Apple"     "Samsung"  
## [259,] "Coca-Cola" "BMW" "Microsoft" "Cisco"     "Apple"    
## [260,] "Coca-Cola" "BMW" "Microsoft" "Cisco"     "Google"   
## [261,] "Coca-Cola" "BMW" "Microsoft" "Cisco"     "IBM"      
## [262,] "Coca-Cola" "BMW" "Microsoft" "Cisco"     "Intel"    
## [263,] "Coca-Cola" "BMW" "Microsoft" "Cisco"     "McDonalds"
## [264,] "Coca-Cola" "BMW" "Microsoft" "Cisco"     "Samsung"  
## [265,] "Coca-Cola" "BMW" "Microsoft" "Google"    "Apple"    
## [266,] "Coca-Cola" "BMW" "Microsoft" "Google"    "Cisco"    
## [267,] "Coca-Cola" "BMW" "Microsoft" "Google"    "IBM"      
## [268,] "Coca-Cola" "BMW" "Microsoft" "Google"    "Intel"    
## [269,] "Coca-Cola" "BMW" "Microsoft" "Google"    "McDonalds"
## [270,] "Coca-Cola" "BMW" "Microsoft" "Google"    "Samsung"  
## [271,] "Coca-Cola" "BMW" "Microsoft" "IBM"       "Apple"    
## [272,] "Coca-Cola" "BMW" "Microsoft" "IBM"       "Cisco"    
## [273,] "Coca-Cola" "BMW" "Microsoft" "IBM"       "Google"   
## [274,] "Coca-Cola" "BMW" "Microsoft" "IBM"       "Intel"    
## [275,] "Coca-Cola" "BMW" "Microsoft" "IBM"       "McDonalds"
## [276,] "Coca-Cola" "BMW" "Microsoft" "IBM"       "Samsung"  
## [277,] "Coca-Cola" "BMW" "Microsoft" "Intel"     "Apple"    
## [278,] "Coca-Cola" "BMW" "Microsoft" "Intel"     "Cisco"    
## [279,] "Coca-Cola" "BMW" "Microsoft" "Intel"     "Google"   
## [280,] "Coca-Cola" "BMW" "Microsoft" "Intel"     "IBM"      
## [281,] "Coca-Cola" "BMW" "Microsoft" "Intel"     "McDonalds"
## [282,] "Coca-Cola" "BMW" "Microsoft" "Intel"     "Samsung"  
## [283,] "Coca-Cola" "BMW" "Microsoft" "McDonalds" "Apple"    
## [284,] "Coca-Cola" "BMW" "Microsoft" "McDonalds" "Cisco"    
## [285,] "Coca-Cola" "BMW" "Microsoft" "McDonalds" "Google"   
## [286,] "Coca-Cola" "BMW" "Microsoft" "McDonalds" "IBM"      
## [287,] "Coca-Cola" "BMW" "Microsoft" "McDonalds" "Intel"    
## [288,] "Coca-Cola" "BMW" "Microsoft" "McDonalds" "Samsung"  
## [289,] "Coca-Cola" "BMW" "Microsoft" "Samsung"   "Apple"    
## [290,] "Coca-Cola" "BMW" "Microsoft" "Samsung"   "Cisco"    
## [291,] "Coca-Cola" "BMW" "Microsoft" "Samsung"   "Google"   
## [292,] "Coca-Cola" "BMW" "Microsoft" "Samsung"   "IBM"      
## [293,] "Coca-Cola" "BMW" "Microsoft" "Samsung"   "Intel"    
## [294,] "Coca-Cola" "BMW" "Microsoft" "Samsung"   "McDonalds"
## [295,] "Coca-Cola" "BMW" "Samsung"   "Apple"     "Cisco"    
## [296,] "Coca-Cola" "BMW" "Samsung"   "Apple"     "Google"   
## [297,] "Coca-Cola" "BMW" "Samsung"   "Apple"     "IBM"      
## [298,] "Coca-Cola" "BMW" "Samsung"   "Apple"     "Intel"    
## [299,] "Coca-Cola" "BMW" "Samsung"   "Apple"     "McDonalds"
## [300,] "Coca-Cola" "BMW" "Samsung"   "Apple"     "Microsoft"
## [301,] "Coca-Cola" "BMW" "Samsung"   "Cisco"     "Apple"    
## [302,] "Coca-Cola" "BMW" "Samsung"   "Cisco"     "Google"   
## [303,] "Coca-Cola" "BMW" "Samsung"   "Cisco"     "IBM"      
## [304,] "Coca-Cola" "BMW" "Samsung"   "Cisco"     "Intel"    
## [305,] "Coca-Cola" "BMW" "Samsung"   "Cisco"     "McDonalds"
## [306,] "Coca-Cola" "BMW" "Samsung"   "Cisco"     "Microsoft"
## [307,] "Coca-Cola" "BMW" "Samsung"   "Google"    "Apple"    
## [308,] "Coca-Cola" "BMW" "Samsung"   "Google"    "Cisco"    
## [309,] "Coca-Cola" "BMW" "Samsung"   "Google"    "IBM"      
## [310,] "Coca-Cola" "BMW" "Samsung"   "Google"    "Intel"    
## [311,] "Coca-Cola" "BMW" "Samsung"   "Google"    "McDonalds"
## [312,] "Coca-Cola" "BMW" "Samsung"   "Google"    "Microsoft"
## [313,] "Coca-Cola" "BMW" "Samsung"   "IBM"       "Apple"    
## [314,] "Coca-Cola" "BMW" "Samsung"   "IBM"       "Cisco"    
## [315,] "Coca-Cola" "BMW" "Samsung"   "IBM"       "Google"   
## [316,] "Coca-Cola" "BMW" "Samsung"   "IBM"       "Intel"    
## [317,] "Coca-Cola" "BMW" "Samsung"   "IBM"       "McDonalds"
## [318,] "Coca-Cola" "BMW" "Samsung"   "IBM"       "Microsoft"
## [319,] "Coca-Cola" "BMW" "Samsung"   "Intel"     "Apple"    
## [320,] "Coca-Cola" "BMW" "Samsung"   "Intel"     "Cisco"    
## [321,] "Coca-Cola" "BMW" "Samsung"   "Intel"     "Google"   
## [322,] "Coca-Cola" "BMW" "Samsung"   "Intel"     "IBM"      
## [323,] "Coca-Cola" "BMW" "Samsung"   "Intel"     "McDonalds"
## [324,] "Coca-Cola" "BMW" "Samsung"   "Intel"     "Microsoft"
## [325,] "Coca-Cola" "BMW" "Samsung"   "McDonalds" "Apple"    
## [326,] "Coca-Cola" "BMW" "Samsung"   "McDonalds" "Cisco"    
## [327,] "Coca-Cola" "BMW" "Samsung"   "McDonalds" "Google"   
## [328,] "Coca-Cola" "BMW" "Samsung"   "McDonalds" "IBM"      
## [329,] "Coca-Cola" "BMW" "Samsung"   "McDonalds" "Intel"    
## [330,] "Coca-Cola" "BMW" "Samsung"   "McDonalds" "Microsoft"
## [331,] "Coca-Cola" "BMW" "Samsung"   "Microsoft" "Apple"    
## [332,] "Coca-Cola" "BMW" "Samsung"   "Microsoft" "Cisco"    
## [333,] "Coca-Cola" "BMW" "Samsung"   "Microsoft" "Google"   
## [334,] "Coca-Cola" "BMW" "Samsung"   "Microsoft" "IBM"      
## [335,] "Coca-Cola" "BMW" "Samsung"   "Microsoft" "Intel"    
## [336,] "Coca-Cola" "BMW" "Samsung"   "Microsoft" "McDonalds"
frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran Apple y Microsoft juntos en ese orden, de un total de ", nrow(Pern.marcas), " representan ", round(frecuencia / nrow(Pern.marcas) * 100, 2), "%")
## [1] "Existen  336  ocasiones en que se encuentran Apple y Microsoft juntos en ese orden, de un total de  30240  representan  1.11 %"

¿En cuántas ocasiones aparece de manera contigua y en este orden las marcas de Google y Cisco en cualquier columna uno y dos, dos y tres, tres y cuatro o cuatro y cinco?

filtro <- subset(Pern.marcas, (Pern.marcas[,1] == "Cisco" & Pern.marcas[,2] == "Google") 
                 | (Pern.marcas[,2] == "Cisco" & Pern.marcas[,3] == "Google") 
                 | 
                   (Pern.marcas[,3] == "Cisco" & Pern.marcas[,4] == "Google") 
                 | (Pern.marcas[,4] == "Cisco" & Pern.marcas[,5] == "Google"))
filtro
##         [,1]        [,2]        [,3]        [,4]        [,5]       
##    [1,] "Apple"     "BMW"       "Cisco"     "Google"    "Coca-Cola"
##    [2,] "Apple"     "BMW"       "Cisco"     "Google"    "IBM"      
##    [3,] "Apple"     "BMW"       "Cisco"     "Google"    "Intel"    
##    [4,] "Apple"     "BMW"       "Cisco"     "Google"    "McDonalds"
##    [5,] "Apple"     "BMW"       "Cisco"     "Google"    "Microsoft"
##    [6,] "Apple"     "BMW"       "Cisco"     "Google"    "Samsung"  
##    [7,] "Apple"     "BMW"       "Coca-Cola" "Cisco"     "Google"   
##    [8,] "Apple"     "BMW"       "IBM"       "Cisco"     "Google"   
##    [9,] "Apple"     "BMW"       "Intel"     "Cisco"     "Google"   
##   [10,] "Apple"     "BMW"       "McDonalds" "Cisco"     "Google"   
##   [11,] "Apple"     "BMW"       "Microsoft" "Cisco"     "Google"   
##   [12,] "Apple"     "BMW"       "Samsung"   "Cisco"     "Google"   
##   [13,] "Apple"     "Cisco"     "Google"    "BMW"       "Coca-Cola"
##   [14,] "Apple"     "Cisco"     "Google"    "BMW"       "IBM"      
##   [15,] "Apple"     "Cisco"     "Google"    "BMW"       "Intel"    
##   [16,] "Apple"     "Cisco"     "Google"    "BMW"       "McDonalds"
##   [17,] "Apple"     "Cisco"     "Google"    "BMW"       "Microsoft"
##   [18,] "Apple"     "Cisco"     "Google"    "BMW"       "Samsung"  
##   [19,] "Apple"     "Cisco"     "Google"    "Coca-Cola" "BMW"      
##   [20,] "Apple"     "Cisco"     "Google"    "Coca-Cola" "IBM"      
##   [21,] "Apple"     "Cisco"     "Google"    "Coca-Cola" "Intel"    
##   [22,] "Apple"     "Cisco"     "Google"    "Coca-Cola" "McDonalds"
##   [23,] "Apple"     "Cisco"     "Google"    "Coca-Cola" "Microsoft"
##   [24,] "Apple"     "Cisco"     "Google"    "Coca-Cola" "Samsung"  
##   [25,] "Apple"     "Cisco"     "Google"    "IBM"       "BMW"      
##   [26,] "Apple"     "Cisco"     "Google"    "IBM"       "Coca-Cola"
##   [27,] "Apple"     "Cisco"     "Google"    "IBM"       "Intel"    
##   [28,] "Apple"     "Cisco"     "Google"    "IBM"       "McDonalds"
##   [29,] "Apple"     "Cisco"     "Google"    "IBM"       "Microsoft"
##   [30,] "Apple"     "Cisco"     "Google"    "IBM"       "Samsung"  
##   [31,] "Apple"     "Cisco"     "Google"    "Intel"     "BMW"      
##   [32,] "Apple"     "Cisco"     "Google"    "Intel"     "Coca-Cola"
##   [33,] "Apple"     "Cisco"     "Google"    "Intel"     "IBM"      
##   [34,] "Apple"     "Cisco"     "Google"    "Intel"     "McDonalds"
##   [35,] "Apple"     "Cisco"     "Google"    "Intel"     "Microsoft"
##   [36,] "Apple"     "Cisco"     "Google"    "Intel"     "Samsung"  
##   [37,] "Apple"     "Cisco"     "Google"    "McDonalds" "BMW"      
##   [38,] "Apple"     "Cisco"     "Google"    "McDonalds" "Coca-Cola"
##   [39,] "Apple"     "Cisco"     "Google"    "McDonalds" "IBM"      
##   [40,] "Apple"     "Cisco"     "Google"    "McDonalds" "Intel"    
##   [41,] "Apple"     "Cisco"     "Google"    "McDonalds" "Microsoft"
##   [42,] "Apple"     "Cisco"     "Google"    "McDonalds" "Samsung"  
##   [43,] "Apple"     "Cisco"     "Google"    "Microsoft" "BMW"      
##   [44,] "Apple"     "Cisco"     "Google"    "Microsoft" "Coca-Cola"
##   [45,] "Apple"     "Cisco"     "Google"    "Microsoft" "IBM"      
##   [46,] "Apple"     "Cisco"     "Google"    "Microsoft" "Intel"    
##   [47,] "Apple"     "Cisco"     "Google"    "Microsoft" "McDonalds"
##   [48,] "Apple"     "Cisco"     "Google"    "Microsoft" "Samsung"  
##   [49,] "Apple"     "Cisco"     "Google"    "Samsung"   "BMW"      
##   [50,] "Apple"     "Cisco"     "Google"    "Samsung"   "Coca-Cola"
##   [51,] "Apple"     "Cisco"     "Google"    "Samsung"   "IBM"      
##   [52,] "Apple"     "Cisco"     "Google"    "Samsung"   "Intel"    
##   [53,] "Apple"     "Cisco"     "Google"    "Samsung"   "McDonalds"
##   [54,] "Apple"     "Cisco"     "Google"    "Samsung"   "Microsoft"
##   [55,] "Apple"     "Coca-Cola" "BMW"       "Cisco"     "Google"   
##   [56,] "Apple"     "Coca-Cola" "Cisco"     "Google"    "BMW"      
##   [57,] "Apple"     "Coca-Cola" "Cisco"     "Google"    "IBM"      
##   [58,] "Apple"     "Coca-Cola" "Cisco"     "Google"    "Intel"    
##   [59,] "Apple"     "Coca-Cola" "Cisco"     "Google"    "McDonalds"
##   [60,] "Apple"     "Coca-Cola" "Cisco"     "Google"    "Microsoft"
##   [61,] "Apple"     "Coca-Cola" "Cisco"     "Google"    "Samsung"  
##   [62,] "Apple"     "Coca-Cola" "IBM"       "Cisco"     "Google"   
##   [63,] "Apple"     "Coca-Cola" "Intel"     "Cisco"     "Google"   
##   [64,] "Apple"     "Coca-Cola" "McDonalds" "Cisco"     "Google"   
##   [65,] "Apple"     "Coca-Cola" "Microsoft" "Cisco"     "Google"   
##   [66,] "Apple"     "Coca-Cola" "Samsung"   "Cisco"     "Google"   
##   [67,] "Apple"     "IBM"       "BMW"       "Cisco"     "Google"   
##   [68,] "Apple"     "IBM"       "Cisco"     "Google"    "BMW"      
##   [69,] "Apple"     "IBM"       "Cisco"     "Google"    "Coca-Cola"
##   [70,] "Apple"     "IBM"       "Cisco"     "Google"    "Intel"    
##   [71,] "Apple"     "IBM"       "Cisco"     "Google"    "McDonalds"
##   [72,] "Apple"     "IBM"       "Cisco"     "Google"    "Microsoft"
##   [73,] "Apple"     "IBM"       "Cisco"     "Google"    "Samsung"  
##   [74,] "Apple"     "IBM"       "Coca-Cola" "Cisco"     "Google"   
##   [75,] "Apple"     "IBM"       "Intel"     "Cisco"     "Google"   
##   [76,] "Apple"     "IBM"       "McDonalds" "Cisco"     "Google"   
##   [77,] "Apple"     "IBM"       "Microsoft" "Cisco"     "Google"   
##   [78,] "Apple"     "IBM"       "Samsung"   "Cisco"     "Google"   
##   [79,] "Apple"     "Intel"     "BMW"       "Cisco"     "Google"   
##   [80,] "Apple"     "Intel"     "Cisco"     "Google"    "BMW"      
##   [81,] "Apple"     "Intel"     "Cisco"     "Google"    "Coca-Cola"
##   [82,] "Apple"     "Intel"     "Cisco"     "Google"    "IBM"      
##   [83,] "Apple"     "Intel"     "Cisco"     "Google"    "McDonalds"
##   [84,] "Apple"     "Intel"     "Cisco"     "Google"    "Microsoft"
##   [85,] "Apple"     "Intel"     "Cisco"     "Google"    "Samsung"  
##   [86,] "Apple"     "Intel"     "Coca-Cola" "Cisco"     "Google"   
##   [87,] "Apple"     "Intel"     "IBM"       "Cisco"     "Google"   
##   [88,] "Apple"     "Intel"     "McDonalds" "Cisco"     "Google"   
##   [89,] "Apple"     "Intel"     "Microsoft" "Cisco"     "Google"   
##   [90,] "Apple"     "Intel"     "Samsung"   "Cisco"     "Google"   
##   [91,] "Apple"     "McDonalds" "BMW"       "Cisco"     "Google"   
##   [92,] "Apple"     "McDonalds" "Cisco"     "Google"    "BMW"      
##   [93,] "Apple"     "McDonalds" "Cisco"     "Google"    "Coca-Cola"
##   [94,] "Apple"     "McDonalds" "Cisco"     "Google"    "IBM"      
##   [95,] "Apple"     "McDonalds" "Cisco"     "Google"    "Intel"    
##   [96,] "Apple"     "McDonalds" "Cisco"     "Google"    "Microsoft"
##   [97,] "Apple"     "McDonalds" "Cisco"     "Google"    "Samsung"  
##   [98,] "Apple"     "McDonalds" "Coca-Cola" "Cisco"     "Google"   
##   [99,] "Apple"     "McDonalds" "IBM"       "Cisco"     "Google"   
##  [100,] "Apple"     "McDonalds" "Intel"     "Cisco"     "Google"   
##  [101,] "Apple"     "McDonalds" "Microsoft" "Cisco"     "Google"   
##  [102,] "Apple"     "McDonalds" "Samsung"   "Cisco"     "Google"   
##  [103,] "Apple"     "Microsoft" "BMW"       "Cisco"     "Google"   
##  [104,] "Apple"     "Microsoft" "Cisco"     "Google"    "BMW"      
##  [105,] "Apple"     "Microsoft" "Cisco"     "Google"    "Coca-Cola"
##  [106,] "Apple"     "Microsoft" "Cisco"     "Google"    "IBM"      
##  [107,] "Apple"     "Microsoft" "Cisco"     "Google"    "Intel"    
##  [108,] "Apple"     "Microsoft" "Cisco"     "Google"    "McDonalds"
##  [109,] "Apple"     "Microsoft" "Cisco"     "Google"    "Samsung"  
##  [110,] "Apple"     "Microsoft" "Coca-Cola" "Cisco"     "Google"   
##  [111,] "Apple"     "Microsoft" "IBM"       "Cisco"     "Google"   
##  [112,] "Apple"     "Microsoft" "Intel"     "Cisco"     "Google"   
##  [113,] "Apple"     "Microsoft" "McDonalds" "Cisco"     "Google"   
##  [114,] "Apple"     "Microsoft" "Samsung"   "Cisco"     "Google"   
##  [115,] "Apple"     "Samsung"   "BMW"       "Cisco"     "Google"   
##  [116,] "Apple"     "Samsung"   "Cisco"     "Google"    "BMW"      
##  [117,] "Apple"     "Samsung"   "Cisco"     "Google"    "Coca-Cola"
##  [118,] "Apple"     "Samsung"   "Cisco"     "Google"    "IBM"      
##  [119,] "Apple"     "Samsung"   "Cisco"     "Google"    "Intel"    
##  [120,] "Apple"     "Samsung"   "Cisco"     "Google"    "McDonalds"
##  [121,] "Apple"     "Samsung"   "Cisco"     "Google"    "Microsoft"
##  [122,] "Apple"     "Samsung"   "Coca-Cola" "Cisco"     "Google"   
##  [123,] "Apple"     "Samsung"   "IBM"       "Cisco"     "Google"   
##  [124,] "Apple"     "Samsung"   "Intel"     "Cisco"     "Google"   
##  [125,] "Apple"     "Samsung"   "McDonalds" "Cisco"     "Google"   
##  [126,] "Apple"     "Samsung"   "Microsoft" "Cisco"     "Google"   
##  [127,] "BMW"       "Apple"     "Cisco"     "Google"    "Coca-Cola"
##  [128,] "BMW"       "Apple"     "Cisco"     "Google"    "IBM"      
##  [129,] "BMW"       "Apple"     "Cisco"     "Google"    "Intel"    
##  [130,] "BMW"       "Apple"     "Cisco"     "Google"    "McDonalds"
##  [131,] "BMW"       "Apple"     "Cisco"     "Google"    "Microsoft"
##  [132,] "BMW"       "Apple"     "Cisco"     "Google"    "Samsung"  
##  [133,] "BMW"       "Apple"     "Coca-Cola" "Cisco"     "Google"   
##  [134,] "BMW"       "Apple"     "IBM"       "Cisco"     "Google"   
##  [135,] "BMW"       "Apple"     "Intel"     "Cisco"     "Google"   
##  [136,] "BMW"       "Apple"     "McDonalds" "Cisco"     "Google"   
##  [137,] "BMW"       "Apple"     "Microsoft" "Cisco"     "Google"   
##  [138,] "BMW"       "Apple"     "Samsung"   "Cisco"     "Google"   
##  [139,] "BMW"       "Cisco"     "Google"    "Apple"     "Coca-Cola"
##  [140,] "BMW"       "Cisco"     "Google"    "Apple"     "IBM"      
##  [141,] "BMW"       "Cisco"     "Google"    "Apple"     "Intel"    
##  [142,] "BMW"       "Cisco"     "Google"    "Apple"     "McDonalds"
##  [143,] "BMW"       "Cisco"     "Google"    "Apple"     "Microsoft"
##  [144,] "BMW"       "Cisco"     "Google"    "Apple"     "Samsung"  
##  [145,] "BMW"       "Cisco"     "Google"    "Coca-Cola" "Apple"    
##  [146,] "BMW"       "Cisco"     "Google"    "Coca-Cola" "IBM"      
##  [147,] "BMW"       "Cisco"     "Google"    "Coca-Cola" "Intel"    
##  [148,] "BMW"       "Cisco"     "Google"    "Coca-Cola" "McDonalds"
##  [149,] "BMW"       "Cisco"     "Google"    "Coca-Cola" "Microsoft"
##  [150,] "BMW"       "Cisco"     "Google"    "Coca-Cola" "Samsung"  
##  [151,] "BMW"       "Cisco"     "Google"    "IBM"       "Apple"    
##  [152,] "BMW"       "Cisco"     "Google"    "IBM"       "Coca-Cola"
##  [153,] "BMW"       "Cisco"     "Google"    "IBM"       "Intel"    
##  [154,] "BMW"       "Cisco"     "Google"    "IBM"       "McDonalds"
##  [155,] "BMW"       "Cisco"     "Google"    "IBM"       "Microsoft"
##  [156,] "BMW"       "Cisco"     "Google"    "IBM"       "Samsung"  
##  [157,] "BMW"       "Cisco"     "Google"    "Intel"     "Apple"    
##  [158,] "BMW"       "Cisco"     "Google"    "Intel"     "Coca-Cola"
##  [159,] "BMW"       "Cisco"     "Google"    "Intel"     "IBM"      
##  [160,] "BMW"       "Cisco"     "Google"    "Intel"     "McDonalds"
##  [161,] "BMW"       "Cisco"     "Google"    "Intel"     "Microsoft"
##  [162,] "BMW"       "Cisco"     "Google"    "Intel"     "Samsung"  
##  [163,] "BMW"       "Cisco"     "Google"    "McDonalds" "Apple"    
##  [164,] "BMW"       "Cisco"     "Google"    "McDonalds" "Coca-Cola"
##  [165,] "BMW"       "Cisco"     "Google"    "McDonalds" "IBM"      
##  [166,] "BMW"       "Cisco"     "Google"    "McDonalds" "Intel"    
##  [167,] "BMW"       "Cisco"     "Google"    "McDonalds" "Microsoft"
##  [168,] "BMW"       "Cisco"     "Google"    "McDonalds" "Samsung"  
##  [169,] "BMW"       "Cisco"     "Google"    "Microsoft" "Apple"    
##  [170,] "BMW"       "Cisco"     "Google"    "Microsoft" "Coca-Cola"
##  [171,] "BMW"       "Cisco"     "Google"    "Microsoft" "IBM"      
##  [172,] "BMW"       "Cisco"     "Google"    "Microsoft" "Intel"    
##  [173,] "BMW"       "Cisco"     "Google"    "Microsoft" "McDonalds"
##  [174,] "BMW"       "Cisco"     "Google"    "Microsoft" "Samsung"  
##  [175,] "BMW"       "Cisco"     "Google"    "Samsung"   "Apple"    
##  [176,] "BMW"       "Cisco"     "Google"    "Samsung"   "Coca-Cola"
##  [177,] "BMW"       "Cisco"     "Google"    "Samsung"   "IBM"      
##  [178,] "BMW"       "Cisco"     "Google"    "Samsung"   "Intel"    
##  [179,] "BMW"       "Cisco"     "Google"    "Samsung"   "McDonalds"
##  [180,] "BMW"       "Cisco"     "Google"    "Samsung"   "Microsoft"
##  [181,] "BMW"       "Coca-Cola" "Apple"     "Cisco"     "Google"   
##  [182,] "BMW"       "Coca-Cola" "Cisco"     "Google"    "Apple"    
##  [183,] "BMW"       "Coca-Cola" "Cisco"     "Google"    "IBM"      
##  [184,] "BMW"       "Coca-Cola" "Cisco"     "Google"    "Intel"    
##  [185,] "BMW"       "Coca-Cola" "Cisco"     "Google"    "McDonalds"
##  [186,] "BMW"       "Coca-Cola" "Cisco"     "Google"    "Microsoft"
##  [187,] "BMW"       "Coca-Cola" "Cisco"     "Google"    "Samsung"  
##  [188,] "BMW"       "Coca-Cola" "IBM"       "Cisco"     "Google"   
##  [189,] "BMW"       "Coca-Cola" "Intel"     "Cisco"     "Google"   
##  [190,] "BMW"       "Coca-Cola" "McDonalds" "Cisco"     "Google"   
##  [191,] "BMW"       "Coca-Cola" "Microsoft" "Cisco"     "Google"   
##  [192,] "BMW"       "Coca-Cola" "Samsung"   "Cisco"     "Google"   
##  [193,] "BMW"       "IBM"       "Apple"     "Cisco"     "Google"   
##  [194,] "BMW"       "IBM"       "Cisco"     "Google"    "Apple"    
##  [195,] "BMW"       "IBM"       "Cisco"     "Google"    "Coca-Cola"
##  [196,] "BMW"       "IBM"       "Cisco"     "Google"    "Intel"    
##  [197,] "BMW"       "IBM"       "Cisco"     "Google"    "McDonalds"
##  [198,] "BMW"       "IBM"       "Cisco"     "Google"    "Microsoft"
##  [199,] "BMW"       "IBM"       "Cisco"     "Google"    "Samsung"  
##  [200,] "BMW"       "IBM"       "Coca-Cola" "Cisco"     "Google"   
##  [201,] "BMW"       "IBM"       "Intel"     "Cisco"     "Google"   
##  [202,] "BMW"       "IBM"       "McDonalds" "Cisco"     "Google"   
##  [203,] "BMW"       "IBM"       "Microsoft" "Cisco"     "Google"   
##  [204,] "BMW"       "IBM"       "Samsung"   "Cisco"     "Google"   
##  [205,] "BMW"       "Intel"     "Apple"     "Cisco"     "Google"   
##  [206,] "BMW"       "Intel"     "Cisco"     "Google"    "Apple"    
##  [207,] "BMW"       "Intel"     "Cisco"     "Google"    "Coca-Cola"
##  [208,] "BMW"       "Intel"     "Cisco"     "Google"    "IBM"      
##  [209,] "BMW"       "Intel"     "Cisco"     "Google"    "McDonalds"
##  [210,] "BMW"       "Intel"     "Cisco"     "Google"    "Microsoft"
##  [211,] "BMW"       "Intel"     "Cisco"     "Google"    "Samsung"  
##  [212,] "BMW"       "Intel"     "Coca-Cola" "Cisco"     "Google"   
##  [213,] "BMW"       "Intel"     "IBM"       "Cisco"     "Google"   
##  [214,] "BMW"       "Intel"     "McDonalds" "Cisco"     "Google"   
##  [215,] "BMW"       "Intel"     "Microsoft" "Cisco"     "Google"   
##  [216,] "BMW"       "Intel"     "Samsung"   "Cisco"     "Google"   
##  [217,] "BMW"       "McDonalds" "Apple"     "Cisco"     "Google"   
##  [218,] "BMW"       "McDonalds" "Cisco"     "Google"    "Apple"    
##  [219,] "BMW"       "McDonalds" "Cisco"     "Google"    "Coca-Cola"
##  [220,] "BMW"       "McDonalds" "Cisco"     "Google"    "IBM"      
##  [221,] "BMW"       "McDonalds" "Cisco"     "Google"    "Intel"    
##  [222,] "BMW"       "McDonalds" "Cisco"     "Google"    "Microsoft"
##  [223,] "BMW"       "McDonalds" "Cisco"     "Google"    "Samsung"  
##  [224,] "BMW"       "McDonalds" "Coca-Cola" "Cisco"     "Google"   
##  [225,] "BMW"       "McDonalds" "IBM"       "Cisco"     "Google"   
##  [226,] "BMW"       "McDonalds" "Intel"     "Cisco"     "Google"   
##  [227,] "BMW"       "McDonalds" "Microsoft" "Cisco"     "Google"   
##  [228,] "BMW"       "McDonalds" "Samsung"   "Cisco"     "Google"   
##  [229,] "BMW"       "Microsoft" "Apple"     "Cisco"     "Google"   
##  [230,] "BMW"       "Microsoft" "Cisco"     "Google"    "Apple"    
##  [231,] "BMW"       "Microsoft" "Cisco"     "Google"    "Coca-Cola"
##  [232,] "BMW"       "Microsoft" "Cisco"     "Google"    "IBM"      
##  [233,] "BMW"       "Microsoft" "Cisco"     "Google"    "Intel"    
##  [234,] "BMW"       "Microsoft" "Cisco"     "Google"    "McDonalds"
##  [235,] "BMW"       "Microsoft" "Cisco"     "Google"    "Samsung"  
##  [236,] "BMW"       "Microsoft" "Coca-Cola" "Cisco"     "Google"   
##  [237,] "BMW"       "Microsoft" "IBM"       "Cisco"     "Google"   
##  [238,] "BMW"       "Microsoft" "Intel"     "Cisco"     "Google"   
##  [239,] "BMW"       "Microsoft" "McDonalds" "Cisco"     "Google"   
##  [240,] "BMW"       "Microsoft" "Samsung"   "Cisco"     "Google"   
##  [241,] "BMW"       "Samsung"   "Apple"     "Cisco"     "Google"   
##  [242,] "BMW"       "Samsung"   "Cisco"     "Google"    "Apple"    
##  [243,] "BMW"       "Samsung"   "Cisco"     "Google"    "Coca-Cola"
##  [244,] "BMW"       "Samsung"   "Cisco"     "Google"    "IBM"      
##  [245,] "BMW"       "Samsung"   "Cisco"     "Google"    "Intel"    
##  [246,] "BMW"       "Samsung"   "Cisco"     "Google"    "McDonalds"
##  [247,] "BMW"       "Samsung"   "Cisco"     "Google"    "Microsoft"
##  [248,] "BMW"       "Samsung"   "Coca-Cola" "Cisco"     "Google"   
##  [249,] "BMW"       "Samsung"   "IBM"       "Cisco"     "Google"   
##  [250,] "BMW"       "Samsung"   "Intel"     "Cisco"     "Google"   
##  [251,] "BMW"       "Samsung"   "McDonalds" "Cisco"     "Google"   
##  [252,] "BMW"       "Samsung"   "Microsoft" "Cisco"     "Google"   
##  [253,] "Cisco"     "Google"    "Apple"     "BMW"       "Coca-Cola"
##  [254,] "Cisco"     "Google"    "Apple"     "BMW"       "IBM"      
##  [255,] "Cisco"     "Google"    "Apple"     "BMW"       "Intel"    
##  [256,] "Cisco"     "Google"    "Apple"     "BMW"       "McDonalds"
##  [257,] "Cisco"     "Google"    "Apple"     "BMW"       "Microsoft"
##  [258,] "Cisco"     "Google"    "Apple"     "BMW"       "Samsung"  
##  [259,] "Cisco"     "Google"    "Apple"     "Coca-Cola" "BMW"      
##  [260,] "Cisco"     "Google"    "Apple"     "Coca-Cola" "IBM"      
##  [261,] "Cisco"     "Google"    "Apple"     "Coca-Cola" "Intel"    
##  [262,] "Cisco"     "Google"    "Apple"     "Coca-Cola" "McDonalds"
##  [263,] "Cisco"     "Google"    "Apple"     "Coca-Cola" "Microsoft"
##  [264,] "Cisco"     "Google"    "Apple"     "Coca-Cola" "Samsung"  
##  [265,] "Cisco"     "Google"    "Apple"     "IBM"       "BMW"      
##  [266,] "Cisco"     "Google"    "Apple"     "IBM"       "Coca-Cola"
##  [267,] "Cisco"     "Google"    "Apple"     "IBM"       "Intel"    
##  [268,] "Cisco"     "Google"    "Apple"     "IBM"       "McDonalds"
##  [269,] "Cisco"     "Google"    "Apple"     "IBM"       "Microsoft"
##  [270,] "Cisco"     "Google"    "Apple"     "IBM"       "Samsung"  
##  [271,] "Cisco"     "Google"    "Apple"     "Intel"     "BMW"      
##  [272,] "Cisco"     "Google"    "Apple"     "Intel"     "Coca-Cola"
##  [273,] "Cisco"     "Google"    "Apple"     "Intel"     "IBM"      
##  [274,] "Cisco"     "Google"    "Apple"     "Intel"     "McDonalds"
##  [275,] "Cisco"     "Google"    "Apple"     "Intel"     "Microsoft"
##  [276,] "Cisco"     "Google"    "Apple"     "Intel"     "Samsung"  
##  [277,] "Cisco"     "Google"    "Apple"     "McDonalds" "BMW"      
##  [278,] "Cisco"     "Google"    "Apple"     "McDonalds" "Coca-Cola"
##  [279,] "Cisco"     "Google"    "Apple"     "McDonalds" "IBM"      
##  [280,] "Cisco"     "Google"    "Apple"     "McDonalds" "Intel"    
##  [281,] "Cisco"     "Google"    "Apple"     "McDonalds" "Microsoft"
##  [282,] "Cisco"     "Google"    "Apple"     "McDonalds" "Samsung"  
##  [283,] "Cisco"     "Google"    "Apple"     "Microsoft" "BMW"      
##  [284,] "Cisco"     "Google"    "Apple"     "Microsoft" "Coca-Cola"
##  [285,] "Cisco"     "Google"    "Apple"     "Microsoft" "IBM"      
##  [286,] "Cisco"     "Google"    "Apple"     "Microsoft" "Intel"    
##  [287,] "Cisco"     "Google"    "Apple"     "Microsoft" "McDonalds"
##  [288,] "Cisco"     "Google"    "Apple"     "Microsoft" "Samsung"  
##  [289,] "Cisco"     "Google"    "Apple"     "Samsung"   "BMW"      
##  [290,] "Cisco"     "Google"    "Apple"     "Samsung"   "Coca-Cola"
##  [291,] "Cisco"     "Google"    "Apple"     "Samsung"   "IBM"      
##  [292,] "Cisco"     "Google"    "Apple"     "Samsung"   "Intel"    
##  [293,] "Cisco"     "Google"    "Apple"     "Samsung"   "McDonalds"
##  [294,] "Cisco"     "Google"    "Apple"     "Samsung"   "Microsoft"
##  [295,] "Cisco"     "Google"    "BMW"       "Apple"     "Coca-Cola"
##  [296,] "Cisco"     "Google"    "BMW"       "Apple"     "IBM"      
##  [297,] "Cisco"     "Google"    "BMW"       "Apple"     "Intel"    
##  [298,] "Cisco"     "Google"    "BMW"       "Apple"     "McDonalds"
##  [299,] "Cisco"     "Google"    "BMW"       "Apple"     "Microsoft"
##  [300,] "Cisco"     "Google"    "BMW"       "Apple"     "Samsung"  
##  [301,] "Cisco"     "Google"    "BMW"       "Coca-Cola" "Apple"    
##  [302,] "Cisco"     "Google"    "BMW"       "Coca-Cola" "IBM"      
##  [303,] "Cisco"     "Google"    "BMW"       "Coca-Cola" "Intel"    
##  [304,] "Cisco"     "Google"    "BMW"       "Coca-Cola" "McDonalds"
##  [305,] "Cisco"     "Google"    "BMW"       "Coca-Cola" "Microsoft"
##  [306,] "Cisco"     "Google"    "BMW"       "Coca-Cola" "Samsung"  
##  [307,] "Cisco"     "Google"    "BMW"       "IBM"       "Apple"    
##  [308,] "Cisco"     "Google"    "BMW"       "IBM"       "Coca-Cola"
##  [309,] "Cisco"     "Google"    "BMW"       "IBM"       "Intel"    
##  [310,] "Cisco"     "Google"    "BMW"       "IBM"       "McDonalds"
##  [311,] "Cisco"     "Google"    "BMW"       "IBM"       "Microsoft"
##  [312,] "Cisco"     "Google"    "BMW"       "IBM"       "Samsung"  
##  [313,] "Cisco"     "Google"    "BMW"       "Intel"     "Apple"    
##  [314,] "Cisco"     "Google"    "BMW"       "Intel"     "Coca-Cola"
##  [315,] "Cisco"     "Google"    "BMW"       "Intel"     "IBM"      
##  [316,] "Cisco"     "Google"    "BMW"       "Intel"     "McDonalds"
##  [317,] "Cisco"     "Google"    "BMW"       "Intel"     "Microsoft"
##  [318,] "Cisco"     "Google"    "BMW"       "Intel"     "Samsung"  
##  [319,] "Cisco"     "Google"    "BMW"       "McDonalds" "Apple"    
##  [320,] "Cisco"     "Google"    "BMW"       "McDonalds" "Coca-Cola"
##  [321,] "Cisco"     "Google"    "BMW"       "McDonalds" "IBM"      
##  [322,] "Cisco"     "Google"    "BMW"       "McDonalds" "Intel"    
##  [323,] "Cisco"     "Google"    "BMW"       "McDonalds" "Microsoft"
##  [324,] "Cisco"     "Google"    "BMW"       "McDonalds" "Samsung"  
##  [325,] "Cisco"     "Google"    "BMW"       "Microsoft" "Apple"    
##  [326,] "Cisco"     "Google"    "BMW"       "Microsoft" "Coca-Cola"
##  [327,] "Cisco"     "Google"    "BMW"       "Microsoft" "IBM"      
##  [328,] "Cisco"     "Google"    "BMW"       "Microsoft" "Intel"    
##  [329,] "Cisco"     "Google"    "BMW"       "Microsoft" "McDonalds"
##  [330,] "Cisco"     "Google"    "BMW"       "Microsoft" "Samsung"  
##  [331,] "Cisco"     "Google"    "BMW"       "Samsung"   "Apple"    
##  [332,] "Cisco"     "Google"    "BMW"       "Samsung"   "Coca-Cola"
##  [333,] "Cisco"     "Google"    "BMW"       "Samsung"   "IBM"      
##  [334,] "Cisco"     "Google"    "BMW"       "Samsung"   "Intel"    
##  [335,] "Cisco"     "Google"    "BMW"       "Samsung"   "McDonalds"
##  [336,] "Cisco"     "Google"    "BMW"       "Samsung"   "Microsoft"
##  [337,] "Cisco"     "Google"    "Coca-Cola" "Apple"     "BMW"      
##  [338,] "Cisco"     "Google"    "Coca-Cola" "Apple"     "IBM"      
##  [339,] "Cisco"     "Google"    "Coca-Cola" "Apple"     "Intel"    
##  [340,] "Cisco"     "Google"    "Coca-Cola" "Apple"     "McDonalds"
##  [341,] "Cisco"     "Google"    "Coca-Cola" "Apple"     "Microsoft"
##  [342,] "Cisco"     "Google"    "Coca-Cola" "Apple"     "Samsung"  
##  [343,] "Cisco"     "Google"    "Coca-Cola" "BMW"       "Apple"    
##  [344,] "Cisco"     "Google"    "Coca-Cola" "BMW"       "IBM"      
##  [345,] "Cisco"     "Google"    "Coca-Cola" "BMW"       "Intel"    
##  [346,] "Cisco"     "Google"    "Coca-Cola" "BMW"       "McDonalds"
##  [347,] "Cisco"     "Google"    "Coca-Cola" "BMW"       "Microsoft"
##  [348,] "Cisco"     "Google"    "Coca-Cola" "BMW"       "Samsung"  
##  [349,] "Cisco"     "Google"    "Coca-Cola" "IBM"       "Apple"    
##  [350,] "Cisco"     "Google"    "Coca-Cola" "IBM"       "BMW"      
##  [351,] "Cisco"     "Google"    "Coca-Cola" "IBM"       "Intel"    
##  [352,] "Cisco"     "Google"    "Coca-Cola" "IBM"       "McDonalds"
##  [353,] "Cisco"     "Google"    "Coca-Cola" "IBM"       "Microsoft"
##  [354,] "Cisco"     "Google"    "Coca-Cola" "IBM"       "Samsung"  
##  [355,] "Cisco"     "Google"    "Coca-Cola" "Intel"     "Apple"    
##  [356,] "Cisco"     "Google"    "Coca-Cola" "Intel"     "BMW"      
##  [357,] "Cisco"     "Google"    "Coca-Cola" "Intel"     "IBM"      
##  [358,] "Cisco"     "Google"    "Coca-Cola" "Intel"     "McDonalds"
##  [359,] "Cisco"     "Google"    "Coca-Cola" "Intel"     "Microsoft"
##  [360,] "Cisco"     "Google"    "Coca-Cola" "Intel"     "Samsung"  
##  [361,] "Cisco"     "Google"    "Coca-Cola" "McDonalds" "Apple"    
##  [362,] "Cisco"     "Google"    "Coca-Cola" "McDonalds" "BMW"      
##  [363,] "Cisco"     "Google"    "Coca-Cola" "McDonalds" "IBM"      
##  [364,] "Cisco"     "Google"    "Coca-Cola" "McDonalds" "Intel"    
##  [365,] "Cisco"     "Google"    "Coca-Cola" "McDonalds" "Microsoft"
##  [366,] "Cisco"     "Google"    "Coca-Cola" "McDonalds" "Samsung"  
##  [367,] "Cisco"     "Google"    "Coca-Cola" "Microsoft" "Apple"    
##  [368,] "Cisco"     "Google"    "Coca-Cola" "Microsoft" "BMW"      
##  [369,] "Cisco"     "Google"    "Coca-Cola" "Microsoft" "IBM"      
##  [370,] "Cisco"     "Google"    "Coca-Cola" "Microsoft" "Intel"    
##  [371,] "Cisco"     "Google"    "Coca-Cola" "Microsoft" "McDonalds"
##  [372,] "Cisco"     "Google"    "Coca-Cola" "Microsoft" "Samsung"  
##  [373,] "Cisco"     "Google"    "Coca-Cola" "Samsung"   "Apple"    
##  [374,] "Cisco"     "Google"    "Coca-Cola" "Samsung"   "BMW"      
##  [375,] "Cisco"     "Google"    "Coca-Cola" "Samsung"   "IBM"      
##  [376,] "Cisco"     "Google"    "Coca-Cola" "Samsung"   "Intel"    
##  [377,] "Cisco"     "Google"    "Coca-Cola" "Samsung"   "McDonalds"
##  [378,] "Cisco"     "Google"    "Coca-Cola" "Samsung"   "Microsoft"
##  [379,] "Cisco"     "Google"    "IBM"       "Apple"     "BMW"      
##  [380,] "Cisco"     "Google"    "IBM"       "Apple"     "Coca-Cola"
##  [381,] "Cisco"     "Google"    "IBM"       "Apple"     "Intel"    
##  [382,] "Cisco"     "Google"    "IBM"       "Apple"     "McDonalds"
##  [383,] "Cisco"     "Google"    "IBM"       "Apple"     "Microsoft"
##  [384,] "Cisco"     "Google"    "IBM"       "Apple"     "Samsung"  
##  [385,] "Cisco"     "Google"    "IBM"       "BMW"       "Apple"    
##  [386,] "Cisco"     "Google"    "IBM"       "BMW"       "Coca-Cola"
##  [387,] "Cisco"     "Google"    "IBM"       "BMW"       "Intel"    
##  [388,] "Cisco"     "Google"    "IBM"       "BMW"       "McDonalds"
##  [389,] "Cisco"     "Google"    "IBM"       "BMW"       "Microsoft"
##  [390,] "Cisco"     "Google"    "IBM"       "BMW"       "Samsung"  
##  [391,] "Cisco"     "Google"    "IBM"       "Coca-Cola" "Apple"    
##  [392,] "Cisco"     "Google"    "IBM"       "Coca-Cola" "BMW"      
##  [393,] "Cisco"     "Google"    "IBM"       "Coca-Cola" "Intel"    
##  [394,] "Cisco"     "Google"    "IBM"       "Coca-Cola" "McDonalds"
##  [395,] "Cisco"     "Google"    "IBM"       "Coca-Cola" "Microsoft"
##  [396,] "Cisco"     "Google"    "IBM"       "Coca-Cola" "Samsung"  
##  [397,] "Cisco"     "Google"    "IBM"       "Intel"     "Apple"    
##  [398,] "Cisco"     "Google"    "IBM"       "Intel"     "BMW"      
##  [399,] "Cisco"     "Google"    "IBM"       "Intel"     "Coca-Cola"
##  [400,] "Cisco"     "Google"    "IBM"       "Intel"     "McDonalds"
##  [401,] "Cisco"     "Google"    "IBM"       "Intel"     "Microsoft"
##  [402,] "Cisco"     "Google"    "IBM"       "Intel"     "Samsung"  
##  [403,] "Cisco"     "Google"    "IBM"       "McDonalds" "Apple"    
##  [404,] "Cisco"     "Google"    "IBM"       "McDonalds" "BMW"      
##  [405,] "Cisco"     "Google"    "IBM"       "McDonalds" "Coca-Cola"
##  [406,] "Cisco"     "Google"    "IBM"       "McDonalds" "Intel"    
##  [407,] "Cisco"     "Google"    "IBM"       "McDonalds" "Microsoft"
##  [408,] "Cisco"     "Google"    "IBM"       "McDonalds" "Samsung"  
##  [409,] "Cisco"     "Google"    "IBM"       "Microsoft" "Apple"    
##  [410,] "Cisco"     "Google"    "IBM"       "Microsoft" "BMW"      
##  [411,] "Cisco"     "Google"    "IBM"       "Microsoft" "Coca-Cola"
##  [412,] "Cisco"     "Google"    "IBM"       "Microsoft" "Intel"    
##  [413,] "Cisco"     "Google"    "IBM"       "Microsoft" "McDonalds"
##  [414,] "Cisco"     "Google"    "IBM"       "Microsoft" "Samsung"  
##  [415,] "Cisco"     "Google"    "IBM"       "Samsung"   "Apple"    
##  [416,] "Cisco"     "Google"    "IBM"       "Samsung"   "BMW"      
##  [417,] "Cisco"     "Google"    "IBM"       "Samsung"   "Coca-Cola"
##  [418,] "Cisco"     "Google"    "IBM"       "Samsung"   "Intel"    
##  [419,] "Cisco"     "Google"    "IBM"       "Samsung"   "McDonalds"
##  [420,] "Cisco"     "Google"    "IBM"       "Samsung"   "Microsoft"
##  [421,] "Cisco"     "Google"    "Intel"     "Apple"     "BMW"      
##  [422,] "Cisco"     "Google"    "Intel"     "Apple"     "Coca-Cola"
##  [423,] "Cisco"     "Google"    "Intel"     "Apple"     "IBM"      
##  [424,] "Cisco"     "Google"    "Intel"     "Apple"     "McDonalds"
##  [425,] "Cisco"     "Google"    "Intel"     "Apple"     "Microsoft"
##  [426,] "Cisco"     "Google"    "Intel"     "Apple"     "Samsung"  
##  [427,] "Cisco"     "Google"    "Intel"     "BMW"       "Apple"    
##  [428,] "Cisco"     "Google"    "Intel"     "BMW"       "Coca-Cola"
##  [429,] "Cisco"     "Google"    "Intel"     "BMW"       "IBM"      
##  [430,] "Cisco"     "Google"    "Intel"     "BMW"       "McDonalds"
##  [431,] "Cisco"     "Google"    "Intel"     "BMW"       "Microsoft"
##  [432,] "Cisco"     "Google"    "Intel"     "BMW"       "Samsung"  
##  [433,] "Cisco"     "Google"    "Intel"     "Coca-Cola" "Apple"    
##  [434,] "Cisco"     "Google"    "Intel"     "Coca-Cola" "BMW"      
##  [435,] "Cisco"     "Google"    "Intel"     "Coca-Cola" "IBM"      
##  [436,] "Cisco"     "Google"    "Intel"     "Coca-Cola" "McDonalds"
##  [437,] "Cisco"     "Google"    "Intel"     "Coca-Cola" "Microsoft"
##  [438,] "Cisco"     "Google"    "Intel"     "Coca-Cola" "Samsung"  
##  [439,] "Cisco"     "Google"    "Intel"     "IBM"       "Apple"    
##  [440,] "Cisco"     "Google"    "Intel"     "IBM"       "BMW"      
##  [441,] "Cisco"     "Google"    "Intel"     "IBM"       "Coca-Cola"
##  [442,] "Cisco"     "Google"    "Intel"     "IBM"       "McDonalds"
##  [443,] "Cisco"     "Google"    "Intel"     "IBM"       "Microsoft"
##  [444,] "Cisco"     "Google"    "Intel"     "IBM"       "Samsung"  
##  [445,] "Cisco"     "Google"    "Intel"     "McDonalds" "Apple"    
##  [446,] "Cisco"     "Google"    "Intel"     "McDonalds" "BMW"      
##  [447,] "Cisco"     "Google"    "Intel"     "McDonalds" "Coca-Cola"
##  [448,] "Cisco"     "Google"    "Intel"     "McDonalds" "IBM"      
##  [449,] "Cisco"     "Google"    "Intel"     "McDonalds" "Microsoft"
##  [450,] "Cisco"     "Google"    "Intel"     "McDonalds" "Samsung"  
##  [451,] "Cisco"     "Google"    "Intel"     "Microsoft" "Apple"    
##  [452,] "Cisco"     "Google"    "Intel"     "Microsoft" "BMW"      
##  [453,] "Cisco"     "Google"    "Intel"     "Microsoft" "Coca-Cola"
##  [454,] "Cisco"     "Google"    "Intel"     "Microsoft" "IBM"      
##  [455,] "Cisco"     "Google"    "Intel"     "Microsoft" "McDonalds"
##  [456,] "Cisco"     "Google"    "Intel"     "Microsoft" "Samsung"  
##  [457,] "Cisco"     "Google"    "Intel"     "Samsung"   "Apple"    
##  [458,] "Cisco"     "Google"    "Intel"     "Samsung"   "BMW"      
##  [459,] "Cisco"     "Google"    "Intel"     "Samsung"   "Coca-Cola"
##  [460,] "Cisco"     "Google"    "Intel"     "Samsung"   "IBM"      
##  [461,] "Cisco"     "Google"    "Intel"     "Samsung"   "McDonalds"
##  [462,] "Cisco"     "Google"    "Intel"     "Samsung"   "Microsoft"
##  [463,] "Cisco"     "Google"    "McDonalds" "Apple"     "BMW"      
##  [464,] "Cisco"     "Google"    "McDonalds" "Apple"     "Coca-Cola"
##  [465,] "Cisco"     "Google"    "McDonalds" "Apple"     "IBM"      
##  [466,] "Cisco"     "Google"    "McDonalds" "Apple"     "Intel"    
##  [467,] "Cisco"     "Google"    "McDonalds" "Apple"     "Microsoft"
##  [468,] "Cisco"     "Google"    "McDonalds" "Apple"     "Samsung"  
##  [469,] "Cisco"     "Google"    "McDonalds" "BMW"       "Apple"    
##  [470,] "Cisco"     "Google"    "McDonalds" "BMW"       "Coca-Cola"
##  [471,] "Cisco"     "Google"    "McDonalds" "BMW"       "IBM"      
##  [472,] "Cisco"     "Google"    "McDonalds" "BMW"       "Intel"    
##  [473,] "Cisco"     "Google"    "McDonalds" "BMW"       "Microsoft"
##  [474,] "Cisco"     "Google"    "McDonalds" "BMW"       "Samsung"  
##  [475,] "Cisco"     "Google"    "McDonalds" "Coca-Cola" "Apple"    
##  [476,] "Cisco"     "Google"    "McDonalds" "Coca-Cola" "BMW"      
##  [477,] "Cisco"     "Google"    "McDonalds" "Coca-Cola" "IBM"      
##  [478,] "Cisco"     "Google"    "McDonalds" "Coca-Cola" "Intel"    
##  [479,] "Cisco"     "Google"    "McDonalds" "Coca-Cola" "Microsoft"
##  [480,] "Cisco"     "Google"    "McDonalds" "Coca-Cola" "Samsung"  
##  [481,] "Cisco"     "Google"    "McDonalds" "IBM"       "Apple"    
##  [482,] "Cisco"     "Google"    "McDonalds" "IBM"       "BMW"      
##  [483,] "Cisco"     "Google"    "McDonalds" "IBM"       "Coca-Cola"
##  [484,] "Cisco"     "Google"    "McDonalds" "IBM"       "Intel"    
##  [485,] "Cisco"     "Google"    "McDonalds" "IBM"       "Microsoft"
##  [486,] "Cisco"     "Google"    "McDonalds" "IBM"       "Samsung"  
##  [487,] "Cisco"     "Google"    "McDonalds" "Intel"     "Apple"    
##  [488,] "Cisco"     "Google"    "McDonalds" "Intel"     "BMW"      
##  [489,] "Cisco"     "Google"    "McDonalds" "Intel"     "Coca-Cola"
##  [490,] "Cisco"     "Google"    "McDonalds" "Intel"     "IBM"      
##  [491,] "Cisco"     "Google"    "McDonalds" "Intel"     "Microsoft"
##  [492,] "Cisco"     "Google"    "McDonalds" "Intel"     "Samsung"  
##  [493,] "Cisco"     "Google"    "McDonalds" "Microsoft" "Apple"    
##  [494,] "Cisco"     "Google"    "McDonalds" "Microsoft" "BMW"      
##  [495,] "Cisco"     "Google"    "McDonalds" "Microsoft" "Coca-Cola"
##  [496,] "Cisco"     "Google"    "McDonalds" "Microsoft" "IBM"      
##  [497,] "Cisco"     "Google"    "McDonalds" "Microsoft" "Intel"    
##  [498,] "Cisco"     "Google"    "McDonalds" "Microsoft" "Samsung"  
##  [499,] "Cisco"     "Google"    "McDonalds" "Samsung"   "Apple"    
##  [500,] "Cisco"     "Google"    "McDonalds" "Samsung"   "BMW"      
##  [501,] "Cisco"     "Google"    "McDonalds" "Samsung"   "Coca-Cola"
##  [502,] "Cisco"     "Google"    "McDonalds" "Samsung"   "IBM"      
##  [503,] "Cisco"     "Google"    "McDonalds" "Samsung"   "Intel"    
##  [504,] "Cisco"     "Google"    "McDonalds" "Samsung"   "Microsoft"
##  [505,] "Cisco"     "Google"    "Microsoft" "Apple"     "BMW"      
##  [506,] "Cisco"     "Google"    "Microsoft" "Apple"     "Coca-Cola"
##  [507,] "Cisco"     "Google"    "Microsoft" "Apple"     "IBM"      
##  [508,] "Cisco"     "Google"    "Microsoft" "Apple"     "Intel"    
##  [509,] "Cisco"     "Google"    "Microsoft" "Apple"     "McDonalds"
##  [510,] "Cisco"     "Google"    "Microsoft" "Apple"     "Samsung"  
##  [511,] "Cisco"     "Google"    "Microsoft" "BMW"       "Apple"    
##  [512,] "Cisco"     "Google"    "Microsoft" "BMW"       "Coca-Cola"
##  [513,] "Cisco"     "Google"    "Microsoft" "BMW"       "IBM"      
##  [514,] "Cisco"     "Google"    "Microsoft" "BMW"       "Intel"    
##  [515,] "Cisco"     "Google"    "Microsoft" "BMW"       "McDonalds"
##  [516,] "Cisco"     "Google"    "Microsoft" "BMW"       "Samsung"  
##  [517,] "Cisco"     "Google"    "Microsoft" "Coca-Cola" "Apple"    
##  [518,] "Cisco"     "Google"    "Microsoft" "Coca-Cola" "BMW"      
##  [519,] "Cisco"     "Google"    "Microsoft" "Coca-Cola" "IBM"      
##  [520,] "Cisco"     "Google"    "Microsoft" "Coca-Cola" "Intel"    
##  [521,] "Cisco"     "Google"    "Microsoft" "Coca-Cola" "McDonalds"
##  [522,] "Cisco"     "Google"    "Microsoft" "Coca-Cola" "Samsung"  
##  [523,] "Cisco"     "Google"    "Microsoft" "IBM"       "Apple"    
##  [524,] "Cisco"     "Google"    "Microsoft" "IBM"       "BMW"      
##  [525,] "Cisco"     "Google"    "Microsoft" "IBM"       "Coca-Cola"
##  [526,] "Cisco"     "Google"    "Microsoft" "IBM"       "Intel"    
##  [527,] "Cisco"     "Google"    "Microsoft" "IBM"       "McDonalds"
##  [528,] "Cisco"     "Google"    "Microsoft" "IBM"       "Samsung"  
##  [529,] "Cisco"     "Google"    "Microsoft" "Intel"     "Apple"    
##  [530,] "Cisco"     "Google"    "Microsoft" "Intel"     "BMW"      
##  [531,] "Cisco"     "Google"    "Microsoft" "Intel"     "Coca-Cola"
##  [532,] "Cisco"     "Google"    "Microsoft" "Intel"     "IBM"      
##  [533,] "Cisco"     "Google"    "Microsoft" "Intel"     "McDonalds"
##  [534,] "Cisco"     "Google"    "Microsoft" "Intel"     "Samsung"  
##  [535,] "Cisco"     "Google"    "Microsoft" "McDonalds" "Apple"    
##  [536,] "Cisco"     "Google"    "Microsoft" "McDonalds" "BMW"      
##  [537,] "Cisco"     "Google"    "Microsoft" "McDonalds" "Coca-Cola"
##  [538,] "Cisco"     "Google"    "Microsoft" "McDonalds" "IBM"      
##  [539,] "Cisco"     "Google"    "Microsoft" "McDonalds" "Intel"    
##  [540,] "Cisco"     "Google"    "Microsoft" "McDonalds" "Samsung"  
##  [541,] "Cisco"     "Google"    "Microsoft" "Samsung"   "Apple"    
##  [542,] "Cisco"     "Google"    "Microsoft" "Samsung"   "BMW"      
##  [543,] "Cisco"     "Google"    "Microsoft" "Samsung"   "Coca-Cola"
##  [544,] "Cisco"     "Google"    "Microsoft" "Samsung"   "IBM"      
##  [545,] "Cisco"     "Google"    "Microsoft" "Samsung"   "Intel"    
##  [546,] "Cisco"     "Google"    "Microsoft" "Samsung"   "McDonalds"
##  [547,] "Cisco"     "Google"    "Samsung"   "Apple"     "BMW"      
##  [548,] "Cisco"     "Google"    "Samsung"   "Apple"     "Coca-Cola"
##  [549,] "Cisco"     "Google"    "Samsung"   "Apple"     "IBM"      
##  [550,] "Cisco"     "Google"    "Samsung"   "Apple"     "Intel"    
##  [551,] "Cisco"     "Google"    "Samsung"   "Apple"     "McDonalds"
##  [552,] "Cisco"     "Google"    "Samsung"   "Apple"     "Microsoft"
##  [553,] "Cisco"     "Google"    "Samsung"   "BMW"       "Apple"    
##  [554,] "Cisco"     "Google"    "Samsung"   "BMW"       "Coca-Cola"
##  [555,] "Cisco"     "Google"    "Samsung"   "BMW"       "IBM"      
##  [556,] "Cisco"     "Google"    "Samsung"   "BMW"       "Intel"    
##  [557,] "Cisco"     "Google"    "Samsung"   "BMW"       "McDonalds"
##  [558,] "Cisco"     "Google"    "Samsung"   "BMW"       "Microsoft"
##  [559,] "Cisco"     "Google"    "Samsung"   "Coca-Cola" "Apple"    
##  [560,] "Cisco"     "Google"    "Samsung"   "Coca-Cola" "BMW"      
##  [561,] "Cisco"     "Google"    "Samsung"   "Coca-Cola" "IBM"      
##  [562,] "Cisco"     "Google"    "Samsung"   "Coca-Cola" "Intel"    
##  [563,] "Cisco"     "Google"    "Samsung"   "Coca-Cola" "McDonalds"
##  [564,] "Cisco"     "Google"    "Samsung"   "Coca-Cola" "Microsoft"
##  [565,] "Cisco"     "Google"    "Samsung"   "IBM"       "Apple"    
##  [566,] "Cisco"     "Google"    "Samsung"   "IBM"       "BMW"      
##  [567,] "Cisco"     "Google"    "Samsung"   "IBM"       "Coca-Cola"
##  [568,] "Cisco"     "Google"    "Samsung"   "IBM"       "Intel"    
##  [569,] "Cisco"     "Google"    "Samsung"   "IBM"       "McDonalds"
##  [570,] "Cisco"     "Google"    "Samsung"   "IBM"       "Microsoft"
##  [571,] "Cisco"     "Google"    "Samsung"   "Intel"     "Apple"    
##  [572,] "Cisco"     "Google"    "Samsung"   "Intel"     "BMW"      
##  [573,] "Cisco"     "Google"    "Samsung"   "Intel"     "Coca-Cola"
##  [574,] "Cisco"     "Google"    "Samsung"   "Intel"     "IBM"      
##  [575,] "Cisco"     "Google"    "Samsung"   "Intel"     "McDonalds"
##  [576,] "Cisco"     "Google"    "Samsung"   "Intel"     "Microsoft"
##  [577,] "Cisco"     "Google"    "Samsung"   "McDonalds" "Apple"    
##  [578,] "Cisco"     "Google"    "Samsung"   "McDonalds" "BMW"      
##  [579,] "Cisco"     "Google"    "Samsung"   "McDonalds" "Coca-Cola"
##  [580,] "Cisco"     "Google"    "Samsung"   "McDonalds" "IBM"      
##  [581,] "Cisco"     "Google"    "Samsung"   "McDonalds" "Intel"    
##  [582,] "Cisco"     "Google"    "Samsung"   "McDonalds" "Microsoft"
##  [583,] "Cisco"     "Google"    "Samsung"   "Microsoft" "Apple"    
##  [584,] "Cisco"     "Google"    "Samsung"   "Microsoft" "BMW"      
##  [585,] "Cisco"     "Google"    "Samsung"   "Microsoft" "Coca-Cola"
##  [586,] "Cisco"     "Google"    "Samsung"   "Microsoft" "IBM"      
##  [587,] "Cisco"     "Google"    "Samsung"   "Microsoft" "Intel"    
##  [588,] "Cisco"     "Google"    "Samsung"   "Microsoft" "McDonalds"
##  [589,] "Coca-Cola" "Apple"     "BMW"       "Cisco"     "Google"   
##  [590,] "Coca-Cola" "Apple"     "Cisco"     "Google"    "BMW"      
##  [591,] "Coca-Cola" "Apple"     "Cisco"     "Google"    "IBM"      
##  [592,] "Coca-Cola" "Apple"     "Cisco"     "Google"    "Intel"    
##  [593,] "Coca-Cola" "Apple"     "Cisco"     "Google"    "McDonalds"
##  [594,] "Coca-Cola" "Apple"     "Cisco"     "Google"    "Microsoft"
##  [595,] "Coca-Cola" "Apple"     "Cisco"     "Google"    "Samsung"  
##  [596,] "Coca-Cola" "Apple"     "IBM"       "Cisco"     "Google"   
##  [597,] "Coca-Cola" "Apple"     "Intel"     "Cisco"     "Google"   
##  [598,] "Coca-Cola" "Apple"     "McDonalds" "Cisco"     "Google"   
##  [599,] "Coca-Cola" "Apple"     "Microsoft" "Cisco"     "Google"   
##  [600,] "Coca-Cola" "Apple"     "Samsung"   "Cisco"     "Google"   
##  [601,] "Coca-Cola" "BMW"       "Apple"     "Cisco"     "Google"   
##  [602,] "Coca-Cola" "BMW"       "Cisco"     "Google"    "Apple"    
##  [603,] "Coca-Cola" "BMW"       "Cisco"     "Google"    "IBM"      
##  [604,] "Coca-Cola" "BMW"       "Cisco"     "Google"    "Intel"    
##  [605,] "Coca-Cola" "BMW"       "Cisco"     "Google"    "McDonalds"
##  [606,] "Coca-Cola" "BMW"       "Cisco"     "Google"    "Microsoft"
##  [607,] "Coca-Cola" "BMW"       "Cisco"     "Google"    "Samsung"  
##  [608,] "Coca-Cola" "BMW"       "IBM"       "Cisco"     "Google"   
##  [609,] "Coca-Cola" "BMW"       "Intel"     "Cisco"     "Google"   
##  [610,] "Coca-Cola" "BMW"       "McDonalds" "Cisco"     "Google"   
##  [611,] "Coca-Cola" "BMW"       "Microsoft" "Cisco"     "Google"   
##  [612,] "Coca-Cola" "BMW"       "Samsung"   "Cisco"     "Google"   
##  [613,] "Coca-Cola" "Cisco"     "Google"    "Apple"     "BMW"      
##  [614,] "Coca-Cola" "Cisco"     "Google"    "Apple"     "IBM"      
##  [615,] "Coca-Cola" "Cisco"     "Google"    "Apple"     "Intel"    
##  [616,] "Coca-Cola" "Cisco"     "Google"    "Apple"     "McDonalds"
##  [617,] "Coca-Cola" "Cisco"     "Google"    "Apple"     "Microsoft"
##  [618,] "Coca-Cola" "Cisco"     "Google"    "Apple"     "Samsung"  
##  [619,] "Coca-Cola" "Cisco"     "Google"    "BMW"       "Apple"    
##  [620,] "Coca-Cola" "Cisco"     "Google"    "BMW"       "IBM"      
##  [621,] "Coca-Cola" "Cisco"     "Google"    "BMW"       "Intel"    
##  [622,] "Coca-Cola" "Cisco"     "Google"    "BMW"       "McDonalds"
##  [623,] "Coca-Cola" "Cisco"     "Google"    "BMW"       "Microsoft"
##  [624,] "Coca-Cola" "Cisco"     "Google"    "BMW"       "Samsung"  
##  [625,] "Coca-Cola" "Cisco"     "Google"    "IBM"       "Apple"    
##  [626,] "Coca-Cola" "Cisco"     "Google"    "IBM"       "BMW"      
##  [627,] "Coca-Cola" "Cisco"     "Google"    "IBM"       "Intel"    
##  [628,] "Coca-Cola" "Cisco"     "Google"    "IBM"       "McDonalds"
##  [629,] "Coca-Cola" "Cisco"     "Google"    "IBM"       "Microsoft"
##  [630,] "Coca-Cola" "Cisco"     "Google"    "IBM"       "Samsung"  
##  [631,] "Coca-Cola" "Cisco"     "Google"    "Intel"     "Apple"    
##  [632,] "Coca-Cola" "Cisco"     "Google"    "Intel"     "BMW"      
##  [633,] "Coca-Cola" "Cisco"     "Google"    "Intel"     "IBM"      
##  [634,] "Coca-Cola" "Cisco"     "Google"    "Intel"     "McDonalds"
##  [635,] "Coca-Cola" "Cisco"     "Google"    "Intel"     "Microsoft"
##  [636,] "Coca-Cola" "Cisco"     "Google"    "Intel"     "Samsung"  
##  [637,] "Coca-Cola" "Cisco"     "Google"    "McDonalds" "Apple"    
##  [638,] "Coca-Cola" "Cisco"     "Google"    "McDonalds" "BMW"      
##  [639,] "Coca-Cola" "Cisco"     "Google"    "McDonalds" "IBM"      
##  [640,] "Coca-Cola" "Cisco"     "Google"    "McDonalds" "Intel"    
##  [641,] "Coca-Cola" "Cisco"     "Google"    "McDonalds" "Microsoft"
##  [642,] "Coca-Cola" "Cisco"     "Google"    "McDonalds" "Samsung"  
##  [643,] "Coca-Cola" "Cisco"     "Google"    "Microsoft" "Apple"    
##  [644,] "Coca-Cola" "Cisco"     "Google"    "Microsoft" "BMW"      
##  [645,] "Coca-Cola" "Cisco"     "Google"    "Microsoft" "IBM"      
##  [646,] "Coca-Cola" "Cisco"     "Google"    "Microsoft" "Intel"    
##  [647,] "Coca-Cola" "Cisco"     "Google"    "Microsoft" "McDonalds"
##  [648,] "Coca-Cola" "Cisco"     "Google"    "Microsoft" "Samsung"  
##  [649,] "Coca-Cola" "Cisco"     "Google"    "Samsung"   "Apple"    
##  [650,] "Coca-Cola" "Cisco"     "Google"    "Samsung"   "BMW"      
##  [651,] "Coca-Cola" "Cisco"     "Google"    "Samsung"   "IBM"      
##  [652,] "Coca-Cola" "Cisco"     "Google"    "Samsung"   "Intel"    
##  [653,] "Coca-Cola" "Cisco"     "Google"    "Samsung"   "McDonalds"
##  [654,] "Coca-Cola" "Cisco"     "Google"    "Samsung"   "Microsoft"
##  [655,] "Coca-Cola" "IBM"       "Apple"     "Cisco"     "Google"   
##  [656,] "Coca-Cola" "IBM"       "BMW"       "Cisco"     "Google"   
##  [657,] "Coca-Cola" "IBM"       "Cisco"     "Google"    "Apple"    
##  [658,] "Coca-Cola" "IBM"       "Cisco"     "Google"    "BMW"      
##  [659,] "Coca-Cola" "IBM"       "Cisco"     "Google"    "Intel"    
##  [660,] "Coca-Cola" "IBM"       "Cisco"     "Google"    "McDonalds"
##  [661,] "Coca-Cola" "IBM"       "Cisco"     "Google"    "Microsoft"
##  [662,] "Coca-Cola" "IBM"       "Cisco"     "Google"    "Samsung"  
##  [663,] "Coca-Cola" "IBM"       "Intel"     "Cisco"     "Google"   
##  [664,] "Coca-Cola" "IBM"       "McDonalds" "Cisco"     "Google"   
##  [665,] "Coca-Cola" "IBM"       "Microsoft" "Cisco"     "Google"   
##  [666,] "Coca-Cola" "IBM"       "Samsung"   "Cisco"     "Google"   
##  [667,] "Coca-Cola" "Intel"     "Apple"     "Cisco"     "Google"   
##  [668,] "Coca-Cola" "Intel"     "BMW"       "Cisco"     "Google"   
##  [669,] "Coca-Cola" "Intel"     "Cisco"     "Google"    "Apple"    
##  [670,] "Coca-Cola" "Intel"     "Cisco"     "Google"    "BMW"      
##  [671,] "Coca-Cola" "Intel"     "Cisco"     "Google"    "IBM"      
##  [672,] "Coca-Cola" "Intel"     "Cisco"     "Google"    "McDonalds"
##  [673,] "Coca-Cola" "Intel"     "Cisco"     "Google"    "Microsoft"
##  [674,] "Coca-Cola" "Intel"     "Cisco"     "Google"    "Samsung"  
##  [675,] "Coca-Cola" "Intel"     "IBM"       "Cisco"     "Google"   
##  [676,] "Coca-Cola" "Intel"     "McDonalds" "Cisco"     "Google"   
##  [677,] "Coca-Cola" "Intel"     "Microsoft" "Cisco"     "Google"   
##  [678,] "Coca-Cola" "Intel"     "Samsung"   "Cisco"     "Google"   
##  [679,] "Coca-Cola" "McDonalds" "Apple"     "Cisco"     "Google"   
##  [680,] "Coca-Cola" "McDonalds" "BMW"       "Cisco"     "Google"   
##  [681,] "Coca-Cola" "McDonalds" "Cisco"     "Google"    "Apple"    
##  [682,] "Coca-Cola" "McDonalds" "Cisco"     "Google"    "BMW"      
##  [683,] "Coca-Cola" "McDonalds" "Cisco"     "Google"    "IBM"      
##  [684,] "Coca-Cola" "McDonalds" "Cisco"     "Google"    "Intel"    
##  [685,] "Coca-Cola" "McDonalds" "Cisco"     "Google"    "Microsoft"
##  [686,] "Coca-Cola" "McDonalds" "Cisco"     "Google"    "Samsung"  
##  [687,] "Coca-Cola" "McDonalds" "IBM"       "Cisco"     "Google"   
##  [688,] "Coca-Cola" "McDonalds" "Intel"     "Cisco"     "Google"   
##  [689,] "Coca-Cola" "McDonalds" "Microsoft" "Cisco"     "Google"   
##  [690,] "Coca-Cola" "McDonalds" "Samsung"   "Cisco"     "Google"   
##  [691,] "Coca-Cola" "Microsoft" "Apple"     "Cisco"     "Google"   
##  [692,] "Coca-Cola" "Microsoft" "BMW"       "Cisco"     "Google"   
##  [693,] "Coca-Cola" "Microsoft" "Cisco"     "Google"    "Apple"    
##  [694,] "Coca-Cola" "Microsoft" "Cisco"     "Google"    "BMW"      
##  [695,] "Coca-Cola" "Microsoft" "Cisco"     "Google"    "IBM"      
##  [696,] "Coca-Cola" "Microsoft" "Cisco"     "Google"    "Intel"    
##  [697,] "Coca-Cola" "Microsoft" "Cisco"     "Google"    "McDonalds"
##  [698,] "Coca-Cola" "Microsoft" "Cisco"     "Google"    "Samsung"  
##  [699,] "Coca-Cola" "Microsoft" "IBM"       "Cisco"     "Google"   
##  [700,] "Coca-Cola" "Microsoft" "Intel"     "Cisco"     "Google"   
##  [701,] "Coca-Cola" "Microsoft" "McDonalds" "Cisco"     "Google"   
##  [702,] "Coca-Cola" "Microsoft" "Samsung"   "Cisco"     "Google"   
##  [703,] "Coca-Cola" "Samsung"   "Apple"     "Cisco"     "Google"   
##  [704,] "Coca-Cola" "Samsung"   "BMW"       "Cisco"     "Google"   
##  [705,] "Coca-Cola" "Samsung"   "Cisco"     "Google"    "Apple"    
##  [706,] "Coca-Cola" "Samsung"   "Cisco"     "Google"    "BMW"      
##  [707,] "Coca-Cola" "Samsung"   "Cisco"     "Google"    "IBM"      
##  [708,] "Coca-Cola" "Samsung"   "Cisco"     "Google"    "Intel"    
##  [709,] "Coca-Cola" "Samsung"   "Cisco"     "Google"    "McDonalds"
##  [710,] "Coca-Cola" "Samsung"   "Cisco"     "Google"    "Microsoft"
##  [711,] "Coca-Cola" "Samsung"   "IBM"       "Cisco"     "Google"   
##  [712,] "Coca-Cola" "Samsung"   "Intel"     "Cisco"     "Google"   
##  [713,] "Coca-Cola" "Samsung"   "McDonalds" "Cisco"     "Google"   
##  [714,] "Coca-Cola" "Samsung"   "Microsoft" "Cisco"     "Google"   
##  [715,] "IBM"       "Apple"     "BMW"       "Cisco"     "Google"   
##  [716,] "IBM"       "Apple"     "Cisco"     "Google"    "BMW"      
##  [717,] "IBM"       "Apple"     "Cisco"     "Google"    "Coca-Cola"
##  [718,] "IBM"       "Apple"     "Cisco"     "Google"    "Intel"    
##  [719,] "IBM"       "Apple"     "Cisco"     "Google"    "McDonalds"
##  [720,] "IBM"       "Apple"     "Cisco"     "Google"    "Microsoft"
##  [721,] "IBM"       "Apple"     "Cisco"     "Google"    "Samsung"  
##  [722,] "IBM"       "Apple"     "Coca-Cola" "Cisco"     "Google"   
##  [723,] "IBM"       "Apple"     "Intel"     "Cisco"     "Google"   
##  [724,] "IBM"       "Apple"     "McDonalds" "Cisco"     "Google"   
##  [725,] "IBM"       "Apple"     "Microsoft" "Cisco"     "Google"   
##  [726,] "IBM"       "Apple"     "Samsung"   "Cisco"     "Google"   
##  [727,] "IBM"       "BMW"       "Apple"     "Cisco"     "Google"   
##  [728,] "IBM"       "BMW"       "Cisco"     "Google"    "Apple"    
##  [729,] "IBM"       "BMW"       "Cisco"     "Google"    "Coca-Cola"
##  [730,] "IBM"       "BMW"       "Cisco"     "Google"    "Intel"    
##  [731,] "IBM"       "BMW"       "Cisco"     "Google"    "McDonalds"
##  [732,] "IBM"       "BMW"       "Cisco"     "Google"    "Microsoft"
##  [733,] "IBM"       "BMW"       "Cisco"     "Google"    "Samsung"  
##  [734,] "IBM"       "BMW"       "Coca-Cola" "Cisco"     "Google"   
##  [735,] "IBM"       "BMW"       "Intel"     "Cisco"     "Google"   
##  [736,] "IBM"       "BMW"       "McDonalds" "Cisco"     "Google"   
##  [737,] "IBM"       "BMW"       "Microsoft" "Cisco"     "Google"   
##  [738,] "IBM"       "BMW"       "Samsung"   "Cisco"     "Google"   
##  [739,] "IBM"       "Cisco"     "Google"    "Apple"     "BMW"      
##  [740,] "IBM"       "Cisco"     "Google"    "Apple"     "Coca-Cola"
##  [741,] "IBM"       "Cisco"     "Google"    "Apple"     "Intel"    
##  [742,] "IBM"       "Cisco"     "Google"    "Apple"     "McDonalds"
##  [743,] "IBM"       "Cisco"     "Google"    "Apple"     "Microsoft"
##  [744,] "IBM"       "Cisco"     "Google"    "Apple"     "Samsung"  
##  [745,] "IBM"       "Cisco"     "Google"    "BMW"       "Apple"    
##  [746,] "IBM"       "Cisco"     "Google"    "BMW"       "Coca-Cola"
##  [747,] "IBM"       "Cisco"     "Google"    "BMW"       "Intel"    
##  [748,] "IBM"       "Cisco"     "Google"    "BMW"       "McDonalds"
##  [749,] "IBM"       "Cisco"     "Google"    "BMW"       "Microsoft"
##  [750,] "IBM"       "Cisco"     "Google"    "BMW"       "Samsung"  
##  [751,] "IBM"       "Cisco"     "Google"    "Coca-Cola" "Apple"    
##  [752,] "IBM"       "Cisco"     "Google"    "Coca-Cola" "BMW"      
##  [753,] "IBM"       "Cisco"     "Google"    "Coca-Cola" "Intel"    
##  [754,] "IBM"       "Cisco"     "Google"    "Coca-Cola" "McDonalds"
##  [755,] "IBM"       "Cisco"     "Google"    "Coca-Cola" "Microsoft"
##  [756,] "IBM"       "Cisco"     "Google"    "Coca-Cola" "Samsung"  
##  [757,] "IBM"       "Cisco"     "Google"    "Intel"     "Apple"    
##  [758,] "IBM"       "Cisco"     "Google"    "Intel"     "BMW"      
##  [759,] "IBM"       "Cisco"     "Google"    "Intel"     "Coca-Cola"
##  [760,] "IBM"       "Cisco"     "Google"    "Intel"     "McDonalds"
##  [761,] "IBM"       "Cisco"     "Google"    "Intel"     "Microsoft"
##  [762,] "IBM"       "Cisco"     "Google"    "Intel"     "Samsung"  
##  [763,] "IBM"       "Cisco"     "Google"    "McDonalds" "Apple"    
##  [764,] "IBM"       "Cisco"     "Google"    "McDonalds" "BMW"      
##  [765,] "IBM"       "Cisco"     "Google"    "McDonalds" "Coca-Cola"
##  [766,] "IBM"       "Cisco"     "Google"    "McDonalds" "Intel"    
##  [767,] "IBM"       "Cisco"     "Google"    "McDonalds" "Microsoft"
##  [768,] "IBM"       "Cisco"     "Google"    "McDonalds" "Samsung"  
##  [769,] "IBM"       "Cisco"     "Google"    "Microsoft" "Apple"    
##  [770,] "IBM"       "Cisco"     "Google"    "Microsoft" "BMW"      
##  [771,] "IBM"       "Cisco"     "Google"    "Microsoft" "Coca-Cola"
##  [772,] "IBM"       "Cisco"     "Google"    "Microsoft" "Intel"    
##  [773,] "IBM"       "Cisco"     "Google"    "Microsoft" "McDonalds"
##  [774,] "IBM"       "Cisco"     "Google"    "Microsoft" "Samsung"  
##  [775,] "IBM"       "Cisco"     "Google"    "Samsung"   "Apple"    
##  [776,] "IBM"       "Cisco"     "Google"    "Samsung"   "BMW"      
##  [777,] "IBM"       "Cisco"     "Google"    "Samsung"   "Coca-Cola"
##  [778,] "IBM"       "Cisco"     "Google"    "Samsung"   "Intel"    
##  [779,] "IBM"       "Cisco"     "Google"    "Samsung"   "McDonalds"
##  [780,] "IBM"       "Cisco"     "Google"    "Samsung"   "Microsoft"
##  [781,] "IBM"       "Coca-Cola" "Apple"     "Cisco"     "Google"   
##  [782,] "IBM"       "Coca-Cola" "BMW"       "Cisco"     "Google"   
##  [783,] "IBM"       "Coca-Cola" "Cisco"     "Google"    "Apple"    
##  [784,] "IBM"       "Coca-Cola" "Cisco"     "Google"    "BMW"      
##  [785,] "IBM"       "Coca-Cola" "Cisco"     "Google"    "Intel"    
##  [786,] "IBM"       "Coca-Cola" "Cisco"     "Google"    "McDonalds"
##  [787,] "IBM"       "Coca-Cola" "Cisco"     "Google"    "Microsoft"
##  [788,] "IBM"       "Coca-Cola" "Cisco"     "Google"    "Samsung"  
##  [789,] "IBM"       "Coca-Cola" "Intel"     "Cisco"     "Google"   
##  [790,] "IBM"       "Coca-Cola" "McDonalds" "Cisco"     "Google"   
##  [791,] "IBM"       "Coca-Cola" "Microsoft" "Cisco"     "Google"   
##  [792,] "IBM"       "Coca-Cola" "Samsung"   "Cisco"     "Google"   
##  [793,] "IBM"       "Intel"     "Apple"     "Cisco"     "Google"   
##  [794,] "IBM"       "Intel"     "BMW"       "Cisco"     "Google"   
##  [795,] "IBM"       "Intel"     "Cisco"     "Google"    "Apple"    
##  [796,] "IBM"       "Intel"     "Cisco"     "Google"    "BMW"      
##  [797,] "IBM"       "Intel"     "Cisco"     "Google"    "Coca-Cola"
##  [798,] "IBM"       "Intel"     "Cisco"     "Google"    "McDonalds"
##  [799,] "IBM"       "Intel"     "Cisco"     "Google"    "Microsoft"
##  [800,] "IBM"       "Intel"     "Cisco"     "Google"    "Samsung"  
##  [801,] "IBM"       "Intel"     "Coca-Cola" "Cisco"     "Google"   
##  [802,] "IBM"       "Intel"     "McDonalds" "Cisco"     "Google"   
##  [803,] "IBM"       "Intel"     "Microsoft" "Cisco"     "Google"   
##  [804,] "IBM"       "Intel"     "Samsung"   "Cisco"     "Google"   
##  [805,] "IBM"       "McDonalds" "Apple"     "Cisco"     "Google"   
##  [806,] "IBM"       "McDonalds" "BMW"       "Cisco"     "Google"   
##  [807,] "IBM"       "McDonalds" "Cisco"     "Google"    "Apple"    
##  [808,] "IBM"       "McDonalds" "Cisco"     "Google"    "BMW"      
##  [809,] "IBM"       "McDonalds" "Cisco"     "Google"    "Coca-Cola"
##  [810,] "IBM"       "McDonalds" "Cisco"     "Google"    "Intel"    
##  [811,] "IBM"       "McDonalds" "Cisco"     "Google"    "Microsoft"
##  [812,] "IBM"       "McDonalds" "Cisco"     "Google"    "Samsung"  
##  [813,] "IBM"       "McDonalds" "Coca-Cola" "Cisco"     "Google"   
##  [814,] "IBM"       "McDonalds" "Intel"     "Cisco"     "Google"   
##  [815,] "IBM"       "McDonalds" "Microsoft" "Cisco"     "Google"   
##  [816,] "IBM"       "McDonalds" "Samsung"   "Cisco"     "Google"   
##  [817,] "IBM"       "Microsoft" "Apple"     "Cisco"     "Google"   
##  [818,] "IBM"       "Microsoft" "BMW"       "Cisco"     "Google"   
##  [819,] "IBM"       "Microsoft" "Cisco"     "Google"    "Apple"    
##  [820,] "IBM"       "Microsoft" "Cisco"     "Google"    "BMW"      
##  [821,] "IBM"       "Microsoft" "Cisco"     "Google"    "Coca-Cola"
##  [822,] "IBM"       "Microsoft" "Cisco"     "Google"    "Intel"    
##  [823,] "IBM"       "Microsoft" "Cisco"     "Google"    "McDonalds"
##  [824,] "IBM"       "Microsoft" "Cisco"     "Google"    "Samsung"  
##  [825,] "IBM"       "Microsoft" "Coca-Cola" "Cisco"     "Google"   
##  [826,] "IBM"       "Microsoft" "Intel"     "Cisco"     "Google"   
##  [827,] "IBM"       "Microsoft" "McDonalds" "Cisco"     "Google"   
##  [828,] "IBM"       "Microsoft" "Samsung"   "Cisco"     "Google"   
##  [829,] "IBM"       "Samsung"   "Apple"     "Cisco"     "Google"   
##  [830,] "IBM"       "Samsung"   "BMW"       "Cisco"     "Google"   
##  [831,] "IBM"       "Samsung"   "Cisco"     "Google"    "Apple"    
##  [832,] "IBM"       "Samsung"   "Cisco"     "Google"    "BMW"      
##  [833,] "IBM"       "Samsung"   "Cisco"     "Google"    "Coca-Cola"
##  [834,] "IBM"       "Samsung"   "Cisco"     "Google"    "Intel"    
##  [835,] "IBM"       "Samsung"   "Cisco"     "Google"    "McDonalds"
##  [836,] "IBM"       "Samsung"   "Cisco"     "Google"    "Microsoft"
##  [837,] "IBM"       "Samsung"   "Coca-Cola" "Cisco"     "Google"   
##  [838,] "IBM"       "Samsung"   "Intel"     "Cisco"     "Google"   
##  [839,] "IBM"       "Samsung"   "McDonalds" "Cisco"     "Google"   
##  [840,] "IBM"       "Samsung"   "Microsoft" "Cisco"     "Google"   
##  [841,] "Intel"     "Apple"     "BMW"       "Cisco"     "Google"   
##  [842,] "Intel"     "Apple"     "Cisco"     "Google"    "BMW"      
##  [843,] "Intel"     "Apple"     "Cisco"     "Google"    "Coca-Cola"
##  [844,] "Intel"     "Apple"     "Cisco"     "Google"    "IBM"      
##  [845,] "Intel"     "Apple"     "Cisco"     "Google"    "McDonalds"
##  [846,] "Intel"     "Apple"     "Cisco"     "Google"    "Microsoft"
##  [847,] "Intel"     "Apple"     "Cisco"     "Google"    "Samsung"  
##  [848,] "Intel"     "Apple"     "Coca-Cola" "Cisco"     "Google"   
##  [849,] "Intel"     "Apple"     "IBM"       "Cisco"     "Google"   
##  [850,] "Intel"     "Apple"     "McDonalds" "Cisco"     "Google"   
##  [851,] "Intel"     "Apple"     "Microsoft" "Cisco"     "Google"   
##  [852,] "Intel"     "Apple"     "Samsung"   "Cisco"     "Google"   
##  [853,] "Intel"     "BMW"       "Apple"     "Cisco"     "Google"   
##  [854,] "Intel"     "BMW"       "Cisco"     "Google"    "Apple"    
##  [855,] "Intel"     "BMW"       "Cisco"     "Google"    "Coca-Cola"
##  [856,] "Intel"     "BMW"       "Cisco"     "Google"    "IBM"      
##  [857,] "Intel"     "BMW"       "Cisco"     "Google"    "McDonalds"
##  [858,] "Intel"     "BMW"       "Cisco"     "Google"    "Microsoft"
##  [859,] "Intel"     "BMW"       "Cisco"     "Google"    "Samsung"  
##  [860,] "Intel"     "BMW"       "Coca-Cola" "Cisco"     "Google"   
##  [861,] "Intel"     "BMW"       "IBM"       "Cisco"     "Google"   
##  [862,] "Intel"     "BMW"       "McDonalds" "Cisco"     "Google"   
##  [863,] "Intel"     "BMW"       "Microsoft" "Cisco"     "Google"   
##  [864,] "Intel"     "BMW"       "Samsung"   "Cisco"     "Google"   
##  [865,] "Intel"     "Cisco"     "Google"    "Apple"     "BMW"      
##  [866,] "Intel"     "Cisco"     "Google"    "Apple"     "Coca-Cola"
##  [867,] "Intel"     "Cisco"     "Google"    "Apple"     "IBM"      
##  [868,] "Intel"     "Cisco"     "Google"    "Apple"     "McDonalds"
##  [869,] "Intel"     "Cisco"     "Google"    "Apple"     "Microsoft"
##  [870,] "Intel"     "Cisco"     "Google"    "Apple"     "Samsung"  
##  [871,] "Intel"     "Cisco"     "Google"    "BMW"       "Apple"    
##  [872,] "Intel"     "Cisco"     "Google"    "BMW"       "Coca-Cola"
##  [873,] "Intel"     "Cisco"     "Google"    "BMW"       "IBM"      
##  [874,] "Intel"     "Cisco"     "Google"    "BMW"       "McDonalds"
##  [875,] "Intel"     "Cisco"     "Google"    "BMW"       "Microsoft"
##  [876,] "Intel"     "Cisco"     "Google"    "BMW"       "Samsung"  
##  [877,] "Intel"     "Cisco"     "Google"    "Coca-Cola" "Apple"    
##  [878,] "Intel"     "Cisco"     "Google"    "Coca-Cola" "BMW"      
##  [879,] "Intel"     "Cisco"     "Google"    "Coca-Cola" "IBM"      
##  [880,] "Intel"     "Cisco"     "Google"    "Coca-Cola" "McDonalds"
##  [881,] "Intel"     "Cisco"     "Google"    "Coca-Cola" "Microsoft"
##  [882,] "Intel"     "Cisco"     "Google"    "Coca-Cola" "Samsung"  
##  [883,] "Intel"     "Cisco"     "Google"    "IBM"       "Apple"    
##  [884,] "Intel"     "Cisco"     "Google"    "IBM"       "BMW"      
##  [885,] "Intel"     "Cisco"     "Google"    "IBM"       "Coca-Cola"
##  [886,] "Intel"     "Cisco"     "Google"    "IBM"       "McDonalds"
##  [887,] "Intel"     "Cisco"     "Google"    "IBM"       "Microsoft"
##  [888,] "Intel"     "Cisco"     "Google"    "IBM"       "Samsung"  
##  [889,] "Intel"     "Cisco"     "Google"    "McDonalds" "Apple"    
##  [890,] "Intel"     "Cisco"     "Google"    "McDonalds" "BMW"      
##  [891,] "Intel"     "Cisco"     "Google"    "McDonalds" "Coca-Cola"
##  [892,] "Intel"     "Cisco"     "Google"    "McDonalds" "IBM"      
##  [893,] "Intel"     "Cisco"     "Google"    "McDonalds" "Microsoft"
##  [894,] "Intel"     "Cisco"     "Google"    "McDonalds" "Samsung"  
##  [895,] "Intel"     "Cisco"     "Google"    "Microsoft" "Apple"    
##  [896,] "Intel"     "Cisco"     "Google"    "Microsoft" "BMW"      
##  [897,] "Intel"     "Cisco"     "Google"    "Microsoft" "Coca-Cola"
##  [898,] "Intel"     "Cisco"     "Google"    "Microsoft" "IBM"      
##  [899,] "Intel"     "Cisco"     "Google"    "Microsoft" "McDonalds"
##  [900,] "Intel"     "Cisco"     "Google"    "Microsoft" "Samsung"  
##  [901,] "Intel"     "Cisco"     "Google"    "Samsung"   "Apple"    
##  [902,] "Intel"     "Cisco"     "Google"    "Samsung"   "BMW"      
##  [903,] "Intel"     "Cisco"     "Google"    "Samsung"   "Coca-Cola"
##  [904,] "Intel"     "Cisco"     "Google"    "Samsung"   "IBM"      
##  [905,] "Intel"     "Cisco"     "Google"    "Samsung"   "McDonalds"
##  [906,] "Intel"     "Cisco"     "Google"    "Samsung"   "Microsoft"
##  [907,] "Intel"     "Coca-Cola" "Apple"     "Cisco"     "Google"   
##  [908,] "Intel"     "Coca-Cola" "BMW"       "Cisco"     "Google"   
##  [909,] "Intel"     "Coca-Cola" "Cisco"     "Google"    "Apple"    
##  [910,] "Intel"     "Coca-Cola" "Cisco"     "Google"    "BMW"      
##  [911,] "Intel"     "Coca-Cola" "Cisco"     "Google"    "IBM"      
##  [912,] "Intel"     "Coca-Cola" "Cisco"     "Google"    "McDonalds"
##  [913,] "Intel"     "Coca-Cola" "Cisco"     "Google"    "Microsoft"
##  [914,] "Intel"     "Coca-Cola" "Cisco"     "Google"    "Samsung"  
##  [915,] "Intel"     "Coca-Cola" "IBM"       "Cisco"     "Google"   
##  [916,] "Intel"     "Coca-Cola" "McDonalds" "Cisco"     "Google"   
##  [917,] "Intel"     "Coca-Cola" "Microsoft" "Cisco"     "Google"   
##  [918,] "Intel"     "Coca-Cola" "Samsung"   "Cisco"     "Google"   
##  [919,] "Intel"     "IBM"       "Apple"     "Cisco"     "Google"   
##  [920,] "Intel"     "IBM"       "BMW"       "Cisco"     "Google"   
##  [921,] "Intel"     "IBM"       "Cisco"     "Google"    "Apple"    
##  [922,] "Intel"     "IBM"       "Cisco"     "Google"    "BMW"      
##  [923,] "Intel"     "IBM"       "Cisco"     "Google"    "Coca-Cola"
##  [924,] "Intel"     "IBM"       "Cisco"     "Google"    "McDonalds"
##  [925,] "Intel"     "IBM"       "Cisco"     "Google"    "Microsoft"
##  [926,] "Intel"     "IBM"       "Cisco"     "Google"    "Samsung"  
##  [927,] "Intel"     "IBM"       "Coca-Cola" "Cisco"     "Google"   
##  [928,] "Intel"     "IBM"       "McDonalds" "Cisco"     "Google"   
##  [929,] "Intel"     "IBM"       "Microsoft" "Cisco"     "Google"   
##  [930,] "Intel"     "IBM"       "Samsung"   "Cisco"     "Google"   
##  [931,] "Intel"     "McDonalds" "Apple"     "Cisco"     "Google"   
##  [932,] "Intel"     "McDonalds" "BMW"       "Cisco"     "Google"   
##  [933,] "Intel"     "McDonalds" "Cisco"     "Google"    "Apple"    
##  [934,] "Intel"     "McDonalds" "Cisco"     "Google"    "BMW"      
##  [935,] "Intel"     "McDonalds" "Cisco"     "Google"    "Coca-Cola"
##  [936,] "Intel"     "McDonalds" "Cisco"     "Google"    "IBM"      
##  [937,] "Intel"     "McDonalds" "Cisco"     "Google"    "Microsoft"
##  [938,] "Intel"     "McDonalds" "Cisco"     "Google"    "Samsung"  
##  [939,] "Intel"     "McDonalds" "Coca-Cola" "Cisco"     "Google"   
##  [940,] "Intel"     "McDonalds" "IBM"       "Cisco"     "Google"   
##  [941,] "Intel"     "McDonalds" "Microsoft" "Cisco"     "Google"   
##  [942,] "Intel"     "McDonalds" "Samsung"   "Cisco"     "Google"   
##  [943,] "Intel"     "Microsoft" "Apple"     "Cisco"     "Google"   
##  [944,] "Intel"     "Microsoft" "BMW"       "Cisco"     "Google"   
##  [945,] "Intel"     "Microsoft" "Cisco"     "Google"    "Apple"    
##  [946,] "Intel"     "Microsoft" "Cisco"     "Google"    "BMW"      
##  [947,] "Intel"     "Microsoft" "Cisco"     "Google"    "Coca-Cola"
##  [948,] "Intel"     "Microsoft" "Cisco"     "Google"    "IBM"      
##  [949,] "Intel"     "Microsoft" "Cisco"     "Google"    "McDonalds"
##  [950,] "Intel"     "Microsoft" "Cisco"     "Google"    "Samsung"  
##  [951,] "Intel"     "Microsoft" "Coca-Cola" "Cisco"     "Google"   
##  [952,] "Intel"     "Microsoft" "IBM"       "Cisco"     "Google"   
##  [953,] "Intel"     "Microsoft" "McDonalds" "Cisco"     "Google"   
##  [954,] "Intel"     "Microsoft" "Samsung"   "Cisco"     "Google"   
##  [955,] "Intel"     "Samsung"   "Apple"     "Cisco"     "Google"   
##  [956,] "Intel"     "Samsung"   "BMW"       "Cisco"     "Google"   
##  [957,] "Intel"     "Samsung"   "Cisco"     "Google"    "Apple"    
##  [958,] "Intel"     "Samsung"   "Cisco"     "Google"    "BMW"      
##  [959,] "Intel"     "Samsung"   "Cisco"     "Google"    "Coca-Cola"
##  [960,] "Intel"     "Samsung"   "Cisco"     "Google"    "IBM"      
##  [961,] "Intel"     "Samsung"   "Cisco"     "Google"    "McDonalds"
##  [962,] "Intel"     "Samsung"   "Cisco"     "Google"    "Microsoft"
##  [963,] "Intel"     "Samsung"   "Coca-Cola" "Cisco"     "Google"   
##  [964,] "Intel"     "Samsung"   "IBM"       "Cisco"     "Google"   
##  [965,] "Intel"     "Samsung"   "McDonalds" "Cisco"     "Google"   
##  [966,] "Intel"     "Samsung"   "Microsoft" "Cisco"     "Google"   
##  [967,] "McDonalds" "Apple"     "BMW"       "Cisco"     "Google"   
##  [968,] "McDonalds" "Apple"     "Cisco"     "Google"    "BMW"      
##  [969,] "McDonalds" "Apple"     "Cisco"     "Google"    "Coca-Cola"
##  [970,] "McDonalds" "Apple"     "Cisco"     "Google"    "IBM"      
##  [971,] "McDonalds" "Apple"     "Cisco"     "Google"    "Intel"    
##  [972,] "McDonalds" "Apple"     "Cisco"     "Google"    "Microsoft"
##  [973,] "McDonalds" "Apple"     "Cisco"     "Google"    "Samsung"  
##  [974,] "McDonalds" "Apple"     "Coca-Cola" "Cisco"     "Google"   
##  [975,] "McDonalds" "Apple"     "IBM"       "Cisco"     "Google"   
##  [976,] "McDonalds" "Apple"     "Intel"     "Cisco"     "Google"   
##  [977,] "McDonalds" "Apple"     "Microsoft" "Cisco"     "Google"   
##  [978,] "McDonalds" "Apple"     "Samsung"   "Cisco"     "Google"   
##  [979,] "McDonalds" "BMW"       "Apple"     "Cisco"     "Google"   
##  [980,] "McDonalds" "BMW"       "Cisco"     "Google"    "Apple"    
##  [981,] "McDonalds" "BMW"       "Cisco"     "Google"    "Coca-Cola"
##  [982,] "McDonalds" "BMW"       "Cisco"     "Google"    "IBM"      
##  [983,] "McDonalds" "BMW"       "Cisco"     "Google"    "Intel"    
##  [984,] "McDonalds" "BMW"       "Cisco"     "Google"    "Microsoft"
##  [985,] "McDonalds" "BMW"       "Cisco"     "Google"    "Samsung"  
##  [986,] "McDonalds" "BMW"       "Coca-Cola" "Cisco"     "Google"   
##  [987,] "McDonalds" "BMW"       "IBM"       "Cisco"     "Google"   
##  [988,] "McDonalds" "BMW"       "Intel"     "Cisco"     "Google"   
##  [989,] "McDonalds" "BMW"       "Microsoft" "Cisco"     "Google"   
##  [990,] "McDonalds" "BMW"       "Samsung"   "Cisco"     "Google"   
##  [991,] "McDonalds" "Cisco"     "Google"    "Apple"     "BMW"      
##  [992,] "McDonalds" "Cisco"     "Google"    "Apple"     "Coca-Cola"
##  [993,] "McDonalds" "Cisco"     "Google"    "Apple"     "IBM"      
##  [994,] "McDonalds" "Cisco"     "Google"    "Apple"     "Intel"    
##  [995,] "McDonalds" "Cisco"     "Google"    "Apple"     "Microsoft"
##  [996,] "McDonalds" "Cisco"     "Google"    "Apple"     "Samsung"  
##  [997,] "McDonalds" "Cisco"     "Google"    "BMW"       "Apple"    
##  [998,] "McDonalds" "Cisco"     "Google"    "BMW"       "Coca-Cola"
##  [999,] "McDonalds" "Cisco"     "Google"    "BMW"       "IBM"      
## [1000,] "McDonalds" "Cisco"     "Google"    "BMW"       "Intel"    
## [1001,] "McDonalds" "Cisco"     "Google"    "BMW"       "Microsoft"
## [1002,] "McDonalds" "Cisco"     "Google"    "BMW"       "Samsung"  
## [1003,] "McDonalds" "Cisco"     "Google"    "Coca-Cola" "Apple"    
## [1004,] "McDonalds" "Cisco"     "Google"    "Coca-Cola" "BMW"      
## [1005,] "McDonalds" "Cisco"     "Google"    "Coca-Cola" "IBM"      
## [1006,] "McDonalds" "Cisco"     "Google"    "Coca-Cola" "Intel"    
## [1007,] "McDonalds" "Cisco"     "Google"    "Coca-Cola" "Microsoft"
## [1008,] "McDonalds" "Cisco"     "Google"    "Coca-Cola" "Samsung"  
## [1009,] "McDonalds" "Cisco"     "Google"    "IBM"       "Apple"    
## [1010,] "McDonalds" "Cisco"     "Google"    "IBM"       "BMW"      
## [1011,] "McDonalds" "Cisco"     "Google"    "IBM"       "Coca-Cola"
## [1012,] "McDonalds" "Cisco"     "Google"    "IBM"       "Intel"    
## [1013,] "McDonalds" "Cisco"     "Google"    "IBM"       "Microsoft"
## [1014,] "McDonalds" "Cisco"     "Google"    "IBM"       "Samsung"  
## [1015,] "McDonalds" "Cisco"     "Google"    "Intel"     "Apple"    
## [1016,] "McDonalds" "Cisco"     "Google"    "Intel"     "BMW"      
## [1017,] "McDonalds" "Cisco"     "Google"    "Intel"     "Coca-Cola"
## [1018,] "McDonalds" "Cisco"     "Google"    "Intel"     "IBM"      
## [1019,] "McDonalds" "Cisco"     "Google"    "Intel"     "Microsoft"
## [1020,] "McDonalds" "Cisco"     "Google"    "Intel"     "Samsung"  
## [1021,] "McDonalds" "Cisco"     "Google"    "Microsoft" "Apple"    
## [1022,] "McDonalds" "Cisco"     "Google"    "Microsoft" "BMW"      
## [1023,] "McDonalds" "Cisco"     "Google"    "Microsoft" "Coca-Cola"
## [1024,] "McDonalds" "Cisco"     "Google"    "Microsoft" "IBM"      
## [1025,] "McDonalds" "Cisco"     "Google"    "Microsoft" "Intel"    
## [1026,] "McDonalds" "Cisco"     "Google"    "Microsoft" "Samsung"  
## [1027,] "McDonalds" "Cisco"     "Google"    "Samsung"   "Apple"    
## [1028,] "McDonalds" "Cisco"     "Google"    "Samsung"   "BMW"      
## [1029,] "McDonalds" "Cisco"     "Google"    "Samsung"   "Coca-Cola"
## [1030,] "McDonalds" "Cisco"     "Google"    "Samsung"   "IBM"      
## [1031,] "McDonalds" "Cisco"     "Google"    "Samsung"   "Intel"    
## [1032,] "McDonalds" "Cisco"     "Google"    "Samsung"   "Microsoft"
## [1033,] "McDonalds" "Coca-Cola" "Apple"     "Cisco"     "Google"   
## [1034,] "McDonalds" "Coca-Cola" "BMW"       "Cisco"     "Google"   
## [1035,] "McDonalds" "Coca-Cola" "Cisco"     "Google"    "Apple"    
## [1036,] "McDonalds" "Coca-Cola" "Cisco"     "Google"    "BMW"      
## [1037,] "McDonalds" "Coca-Cola" "Cisco"     "Google"    "IBM"      
## [1038,] "McDonalds" "Coca-Cola" "Cisco"     "Google"    "Intel"    
## [1039,] "McDonalds" "Coca-Cola" "Cisco"     "Google"    "Microsoft"
## [1040,] "McDonalds" "Coca-Cola" "Cisco"     "Google"    "Samsung"  
## [1041,] "McDonalds" "Coca-Cola" "IBM"       "Cisco"     "Google"   
## [1042,] "McDonalds" "Coca-Cola" "Intel"     "Cisco"     "Google"   
## [1043,] "McDonalds" "Coca-Cola" "Microsoft" "Cisco"     "Google"   
## [1044,] "McDonalds" "Coca-Cola" "Samsung"   "Cisco"     "Google"   
## [1045,] "McDonalds" "IBM"       "Apple"     "Cisco"     "Google"   
## [1046,] "McDonalds" "IBM"       "BMW"       "Cisco"     "Google"   
## [1047,] "McDonalds" "IBM"       "Cisco"     "Google"    "Apple"    
## [1048,] "McDonalds" "IBM"       "Cisco"     "Google"    "BMW"      
## [1049,] "McDonalds" "IBM"       "Cisco"     "Google"    "Coca-Cola"
## [1050,] "McDonalds" "IBM"       "Cisco"     "Google"    "Intel"    
## [1051,] "McDonalds" "IBM"       "Cisco"     "Google"    "Microsoft"
## [1052,] "McDonalds" "IBM"       "Cisco"     "Google"    "Samsung"  
## [1053,] "McDonalds" "IBM"       "Coca-Cola" "Cisco"     "Google"   
## [1054,] "McDonalds" "IBM"       "Intel"     "Cisco"     "Google"   
## [1055,] "McDonalds" "IBM"       "Microsoft" "Cisco"     "Google"   
## [1056,] "McDonalds" "IBM"       "Samsung"   "Cisco"     "Google"   
## [1057,] "McDonalds" "Intel"     "Apple"     "Cisco"     "Google"   
## [1058,] "McDonalds" "Intel"     "BMW"       "Cisco"     "Google"   
## [1059,] "McDonalds" "Intel"     "Cisco"     "Google"    "Apple"    
## [1060,] "McDonalds" "Intel"     "Cisco"     "Google"    "BMW"      
## [1061,] "McDonalds" "Intel"     "Cisco"     "Google"    "Coca-Cola"
## [1062,] "McDonalds" "Intel"     "Cisco"     "Google"    "IBM"      
## [1063,] "McDonalds" "Intel"     "Cisco"     "Google"    "Microsoft"
## [1064,] "McDonalds" "Intel"     "Cisco"     "Google"    "Samsung"  
## [1065,] "McDonalds" "Intel"     "Coca-Cola" "Cisco"     "Google"   
## [1066,] "McDonalds" "Intel"     "IBM"       "Cisco"     "Google"   
## [1067,] "McDonalds" "Intel"     "Microsoft" "Cisco"     "Google"   
## [1068,] "McDonalds" "Intel"     "Samsung"   "Cisco"     "Google"   
## [1069,] "McDonalds" "Microsoft" "Apple"     "Cisco"     "Google"   
## [1070,] "McDonalds" "Microsoft" "BMW"       "Cisco"     "Google"   
## [1071,] "McDonalds" "Microsoft" "Cisco"     "Google"    "Apple"    
## [1072,] "McDonalds" "Microsoft" "Cisco"     "Google"    "BMW"      
## [1073,] "McDonalds" "Microsoft" "Cisco"     "Google"    "Coca-Cola"
## [1074,] "McDonalds" "Microsoft" "Cisco"     "Google"    "IBM"      
## [1075,] "McDonalds" "Microsoft" "Cisco"     "Google"    "Intel"    
## [1076,] "McDonalds" "Microsoft" "Cisco"     "Google"    "Samsung"  
## [1077,] "McDonalds" "Microsoft" "Coca-Cola" "Cisco"     "Google"   
## [1078,] "McDonalds" "Microsoft" "IBM"       "Cisco"     "Google"   
## [1079,] "McDonalds" "Microsoft" "Intel"     "Cisco"     "Google"   
## [1080,] "McDonalds" "Microsoft" "Samsung"   "Cisco"     "Google"   
## [1081,] "McDonalds" "Samsung"   "Apple"     "Cisco"     "Google"   
## [1082,] "McDonalds" "Samsung"   "BMW"       "Cisco"     "Google"   
## [1083,] "McDonalds" "Samsung"   "Cisco"     "Google"    "Apple"    
## [1084,] "McDonalds" "Samsung"   "Cisco"     "Google"    "BMW"      
## [1085,] "McDonalds" "Samsung"   "Cisco"     "Google"    "Coca-Cola"
## [1086,] "McDonalds" "Samsung"   "Cisco"     "Google"    "IBM"      
## [1087,] "McDonalds" "Samsung"   "Cisco"     "Google"    "Intel"    
## [1088,] "McDonalds" "Samsung"   "Cisco"     "Google"    "Microsoft"
## [1089,] "McDonalds" "Samsung"   "Coca-Cola" "Cisco"     "Google"   
## [1090,] "McDonalds" "Samsung"   "IBM"       "Cisco"     "Google"   
## [1091,] "McDonalds" "Samsung"   "Intel"     "Cisco"     "Google"   
## [1092,] "McDonalds" "Samsung"   "Microsoft" "Cisco"     "Google"   
## [1093,] "Microsoft" "Apple"     "BMW"       "Cisco"     "Google"   
## [1094,] "Microsoft" "Apple"     "Cisco"     "Google"    "BMW"      
## [1095,] "Microsoft" "Apple"     "Cisco"     "Google"    "Coca-Cola"
## [1096,] "Microsoft" "Apple"     "Cisco"     "Google"    "IBM"      
## [1097,] "Microsoft" "Apple"     "Cisco"     "Google"    "Intel"    
## [1098,] "Microsoft" "Apple"     "Cisco"     "Google"    "McDonalds"
## [1099,] "Microsoft" "Apple"     "Cisco"     "Google"    "Samsung"  
## [1100,] "Microsoft" "Apple"     "Coca-Cola" "Cisco"     "Google"   
## [1101,] "Microsoft" "Apple"     "IBM"       "Cisco"     "Google"   
## [1102,] "Microsoft" "Apple"     "Intel"     "Cisco"     "Google"   
## [1103,] "Microsoft" "Apple"     "McDonalds" "Cisco"     "Google"   
## [1104,] "Microsoft" "Apple"     "Samsung"   "Cisco"     "Google"   
## [1105,] "Microsoft" "BMW"       "Apple"     "Cisco"     "Google"   
## [1106,] "Microsoft" "BMW"       "Cisco"     "Google"    "Apple"    
## [1107,] "Microsoft" "BMW"       "Cisco"     "Google"    "Coca-Cola"
## [1108,] "Microsoft" "BMW"       "Cisco"     "Google"    "IBM"      
## [1109,] "Microsoft" "BMW"       "Cisco"     "Google"    "Intel"    
## [1110,] "Microsoft" "BMW"       "Cisco"     "Google"    "McDonalds"
## [1111,] "Microsoft" "BMW"       "Cisco"     "Google"    "Samsung"  
## [1112,] "Microsoft" "BMW"       "Coca-Cola" "Cisco"     "Google"   
## [1113,] "Microsoft" "BMW"       "IBM"       "Cisco"     "Google"   
## [1114,] "Microsoft" "BMW"       "Intel"     "Cisco"     "Google"   
## [1115,] "Microsoft" "BMW"       "McDonalds" "Cisco"     "Google"   
## [1116,] "Microsoft" "BMW"       "Samsung"   "Cisco"     "Google"   
## [1117,] "Microsoft" "Cisco"     "Google"    "Apple"     "BMW"      
## [1118,] "Microsoft" "Cisco"     "Google"    "Apple"     "Coca-Cola"
## [1119,] "Microsoft" "Cisco"     "Google"    "Apple"     "IBM"      
## [1120,] "Microsoft" "Cisco"     "Google"    "Apple"     "Intel"    
## [1121,] "Microsoft" "Cisco"     "Google"    "Apple"     "McDonalds"
## [1122,] "Microsoft" "Cisco"     "Google"    "Apple"     "Samsung"  
## [1123,] "Microsoft" "Cisco"     "Google"    "BMW"       "Apple"    
## [1124,] "Microsoft" "Cisco"     "Google"    "BMW"       "Coca-Cola"
## [1125,] "Microsoft" "Cisco"     "Google"    "BMW"       "IBM"      
## [1126,] "Microsoft" "Cisco"     "Google"    "BMW"       "Intel"    
## [1127,] "Microsoft" "Cisco"     "Google"    "BMW"       "McDonalds"
## [1128,] "Microsoft" "Cisco"     "Google"    "BMW"       "Samsung"  
## [1129,] "Microsoft" "Cisco"     "Google"    "Coca-Cola" "Apple"    
## [1130,] "Microsoft" "Cisco"     "Google"    "Coca-Cola" "BMW"      
## [1131,] "Microsoft" "Cisco"     "Google"    "Coca-Cola" "IBM"      
## [1132,] "Microsoft" "Cisco"     "Google"    "Coca-Cola" "Intel"    
## [1133,] "Microsoft" "Cisco"     "Google"    "Coca-Cola" "McDonalds"
## [1134,] "Microsoft" "Cisco"     "Google"    "Coca-Cola" "Samsung"  
## [1135,] "Microsoft" "Cisco"     "Google"    "IBM"       "Apple"    
## [1136,] "Microsoft" "Cisco"     "Google"    "IBM"       "BMW"      
## [1137,] "Microsoft" "Cisco"     "Google"    "IBM"       "Coca-Cola"
## [1138,] "Microsoft" "Cisco"     "Google"    "IBM"       "Intel"    
## [1139,] "Microsoft" "Cisco"     "Google"    "IBM"       "McDonalds"
## [1140,] "Microsoft" "Cisco"     "Google"    "IBM"       "Samsung"  
## [1141,] "Microsoft" "Cisco"     "Google"    "Intel"     "Apple"    
## [1142,] "Microsoft" "Cisco"     "Google"    "Intel"     "BMW"      
## [1143,] "Microsoft" "Cisco"     "Google"    "Intel"     "Coca-Cola"
## [1144,] "Microsoft" "Cisco"     "Google"    "Intel"     "IBM"      
## [1145,] "Microsoft" "Cisco"     "Google"    "Intel"     "McDonalds"
## [1146,] "Microsoft" "Cisco"     "Google"    "Intel"     "Samsung"  
## [1147,] "Microsoft" "Cisco"     "Google"    "McDonalds" "Apple"    
## [1148,] "Microsoft" "Cisco"     "Google"    "McDonalds" "BMW"      
## [1149,] "Microsoft" "Cisco"     "Google"    "McDonalds" "Coca-Cola"
## [1150,] "Microsoft" "Cisco"     "Google"    "McDonalds" "IBM"      
## [1151,] "Microsoft" "Cisco"     "Google"    "McDonalds" "Intel"    
## [1152,] "Microsoft" "Cisco"     "Google"    "McDonalds" "Samsung"  
## [1153,] "Microsoft" "Cisco"     "Google"    "Samsung"   "Apple"    
## [1154,] "Microsoft" "Cisco"     "Google"    "Samsung"   "BMW"      
## [1155,] "Microsoft" "Cisco"     "Google"    "Samsung"   "Coca-Cola"
## [1156,] "Microsoft" "Cisco"     "Google"    "Samsung"   "IBM"      
## [1157,] "Microsoft" "Cisco"     "Google"    "Samsung"   "Intel"    
## [1158,] "Microsoft" "Cisco"     "Google"    "Samsung"   "McDonalds"
## [1159,] "Microsoft" "Coca-Cola" "Apple"     "Cisco"     "Google"   
## [1160,] "Microsoft" "Coca-Cola" "BMW"       "Cisco"     "Google"   
## [1161,] "Microsoft" "Coca-Cola" "Cisco"     "Google"    "Apple"    
## [1162,] "Microsoft" "Coca-Cola" "Cisco"     "Google"    "BMW"      
## [1163,] "Microsoft" "Coca-Cola" "Cisco"     "Google"    "IBM"      
## [1164,] "Microsoft" "Coca-Cola" "Cisco"     "Google"    "Intel"    
## [1165,] "Microsoft" "Coca-Cola" "Cisco"     "Google"    "McDonalds"
## [1166,] "Microsoft" "Coca-Cola" "Cisco"     "Google"    "Samsung"  
## [1167,] "Microsoft" "Coca-Cola" "IBM"       "Cisco"     "Google"   
## [1168,] "Microsoft" "Coca-Cola" "Intel"     "Cisco"     "Google"   
## [1169,] "Microsoft" "Coca-Cola" "McDonalds" "Cisco"     "Google"   
## [1170,] "Microsoft" "Coca-Cola" "Samsung"   "Cisco"     "Google"   
## [1171,] "Microsoft" "IBM"       "Apple"     "Cisco"     "Google"   
## [1172,] "Microsoft" "IBM"       "BMW"       "Cisco"     "Google"   
## [1173,] "Microsoft" "IBM"       "Cisco"     "Google"    "Apple"    
## [1174,] "Microsoft" "IBM"       "Cisco"     "Google"    "BMW"      
## [1175,] "Microsoft" "IBM"       "Cisco"     "Google"    "Coca-Cola"
## [1176,] "Microsoft" "IBM"       "Cisco"     "Google"    "Intel"    
## [1177,] "Microsoft" "IBM"       "Cisco"     "Google"    "McDonalds"
## [1178,] "Microsoft" "IBM"       "Cisco"     "Google"    "Samsung"  
## [1179,] "Microsoft" "IBM"       "Coca-Cola" "Cisco"     "Google"   
## [1180,] "Microsoft" "IBM"       "Intel"     "Cisco"     "Google"   
## [1181,] "Microsoft" "IBM"       "McDonalds" "Cisco"     "Google"   
## [1182,] "Microsoft" "IBM"       "Samsung"   "Cisco"     "Google"   
## [1183,] "Microsoft" "Intel"     "Apple"     "Cisco"     "Google"   
## [1184,] "Microsoft" "Intel"     "BMW"       "Cisco"     "Google"   
## [1185,] "Microsoft" "Intel"     "Cisco"     "Google"    "Apple"    
## [1186,] "Microsoft" "Intel"     "Cisco"     "Google"    "BMW"      
## [1187,] "Microsoft" "Intel"     "Cisco"     "Google"    "Coca-Cola"
## [1188,] "Microsoft" "Intel"     "Cisco"     "Google"    "IBM"      
## [1189,] "Microsoft" "Intel"     "Cisco"     "Google"    "McDonalds"
## [1190,] "Microsoft" "Intel"     "Cisco"     "Google"    "Samsung"  
## [1191,] "Microsoft" "Intel"     "Coca-Cola" "Cisco"     "Google"   
## [1192,] "Microsoft" "Intel"     "IBM"       "Cisco"     "Google"   
## [1193,] "Microsoft" "Intel"     "McDonalds" "Cisco"     "Google"   
## [1194,] "Microsoft" "Intel"     "Samsung"   "Cisco"     "Google"   
## [1195,] "Microsoft" "McDonalds" "Apple"     "Cisco"     "Google"   
## [1196,] "Microsoft" "McDonalds" "BMW"       "Cisco"     "Google"   
## [1197,] "Microsoft" "McDonalds" "Cisco"     "Google"    "Apple"    
## [1198,] "Microsoft" "McDonalds" "Cisco"     "Google"    "BMW"      
## [1199,] "Microsoft" "McDonalds" "Cisco"     "Google"    "Coca-Cola"
## [1200,] "Microsoft" "McDonalds" "Cisco"     "Google"    "IBM"      
## [1201,] "Microsoft" "McDonalds" "Cisco"     "Google"    "Intel"    
## [1202,] "Microsoft" "McDonalds" "Cisco"     "Google"    "Samsung"  
## [1203,] "Microsoft" "McDonalds" "Coca-Cola" "Cisco"     "Google"   
## [1204,] "Microsoft" "McDonalds" "IBM"       "Cisco"     "Google"   
## [1205,] "Microsoft" "McDonalds" "Intel"     "Cisco"     "Google"   
## [1206,] "Microsoft" "McDonalds" "Samsung"   "Cisco"     "Google"   
## [1207,] "Microsoft" "Samsung"   "Apple"     "Cisco"     "Google"   
## [1208,] "Microsoft" "Samsung"   "BMW"       "Cisco"     "Google"   
## [1209,] "Microsoft" "Samsung"   "Cisco"     "Google"    "Apple"    
## [1210,] "Microsoft" "Samsung"   "Cisco"     "Google"    "BMW"      
## [1211,] "Microsoft" "Samsung"   "Cisco"     "Google"    "Coca-Cola"
## [1212,] "Microsoft" "Samsung"   "Cisco"     "Google"    "IBM"      
## [1213,] "Microsoft" "Samsung"   "Cisco"     "Google"    "Intel"    
## [1214,] "Microsoft" "Samsung"   "Cisco"     "Google"    "McDonalds"
## [1215,] "Microsoft" "Samsung"   "Coca-Cola" "Cisco"     "Google"   
## [1216,] "Microsoft" "Samsung"   "IBM"       "Cisco"     "Google"   
## [1217,] "Microsoft" "Samsung"   "Intel"     "Cisco"     "Google"   
## [1218,] "Microsoft" "Samsung"   "McDonalds" "Cisco"     "Google"   
## [1219,] "Samsung"   "Apple"     "BMW"       "Cisco"     "Google"   
## [1220,] "Samsung"   "Apple"     "Cisco"     "Google"    "BMW"      
## [1221,] "Samsung"   "Apple"     "Cisco"     "Google"    "Coca-Cola"
## [1222,] "Samsung"   "Apple"     "Cisco"     "Google"    "IBM"      
## [1223,] "Samsung"   "Apple"     "Cisco"     "Google"    "Intel"    
## [1224,] "Samsung"   "Apple"     "Cisco"     "Google"    "McDonalds"
## [1225,] "Samsung"   "Apple"     "Cisco"     "Google"    "Microsoft"
## [1226,] "Samsung"   "Apple"     "Coca-Cola" "Cisco"     "Google"   
## [1227,] "Samsung"   "Apple"     "IBM"       "Cisco"     "Google"   
## [1228,] "Samsung"   "Apple"     "Intel"     "Cisco"     "Google"   
## [1229,] "Samsung"   "Apple"     "McDonalds" "Cisco"     "Google"   
## [1230,] "Samsung"   "Apple"     "Microsoft" "Cisco"     "Google"   
## [1231,] "Samsung"   "BMW"       "Apple"     "Cisco"     "Google"   
## [1232,] "Samsung"   "BMW"       "Cisco"     "Google"    "Apple"    
## [1233,] "Samsung"   "BMW"       "Cisco"     "Google"    "Coca-Cola"
## [1234,] "Samsung"   "BMW"       "Cisco"     "Google"    "IBM"      
## [1235,] "Samsung"   "BMW"       "Cisco"     "Google"    "Intel"    
## [1236,] "Samsung"   "BMW"       "Cisco"     "Google"    "McDonalds"
## [1237,] "Samsung"   "BMW"       "Cisco"     "Google"    "Microsoft"
## [1238,] "Samsung"   "BMW"       "Coca-Cola" "Cisco"     "Google"   
## [1239,] "Samsung"   "BMW"       "IBM"       "Cisco"     "Google"   
## [1240,] "Samsung"   "BMW"       "Intel"     "Cisco"     "Google"   
## [1241,] "Samsung"   "BMW"       "McDonalds" "Cisco"     "Google"   
## [1242,] "Samsung"   "BMW"       "Microsoft" "Cisco"     "Google"   
## [1243,] "Samsung"   "Cisco"     "Google"    "Apple"     "BMW"      
## [1244,] "Samsung"   "Cisco"     "Google"    "Apple"     "Coca-Cola"
## [1245,] "Samsung"   "Cisco"     "Google"    "Apple"     "IBM"      
## [1246,] "Samsung"   "Cisco"     "Google"    "Apple"     "Intel"    
## [1247,] "Samsung"   "Cisco"     "Google"    "Apple"     "McDonalds"
## [1248,] "Samsung"   "Cisco"     "Google"    "Apple"     "Microsoft"
## [1249,] "Samsung"   "Cisco"     "Google"    "BMW"       "Apple"    
## [1250,] "Samsung"   "Cisco"     "Google"    "BMW"       "Coca-Cola"
## [1251,] "Samsung"   "Cisco"     "Google"    "BMW"       "IBM"      
## [1252,] "Samsung"   "Cisco"     "Google"    "BMW"       "Intel"    
## [1253,] "Samsung"   "Cisco"     "Google"    "BMW"       "McDonalds"
## [1254,] "Samsung"   "Cisco"     "Google"    "BMW"       "Microsoft"
## [1255,] "Samsung"   "Cisco"     "Google"    "Coca-Cola" "Apple"    
## [1256,] "Samsung"   "Cisco"     "Google"    "Coca-Cola" "BMW"      
## [1257,] "Samsung"   "Cisco"     "Google"    "Coca-Cola" "IBM"      
## [1258,] "Samsung"   "Cisco"     "Google"    "Coca-Cola" "Intel"    
## [1259,] "Samsung"   "Cisco"     "Google"    "Coca-Cola" "McDonalds"
## [1260,] "Samsung"   "Cisco"     "Google"    "Coca-Cola" "Microsoft"
## [1261,] "Samsung"   "Cisco"     "Google"    "IBM"       "Apple"    
## [1262,] "Samsung"   "Cisco"     "Google"    "IBM"       "BMW"      
## [1263,] "Samsung"   "Cisco"     "Google"    "IBM"       "Coca-Cola"
## [1264,] "Samsung"   "Cisco"     "Google"    "IBM"       "Intel"    
## [1265,] "Samsung"   "Cisco"     "Google"    "IBM"       "McDonalds"
## [1266,] "Samsung"   "Cisco"     "Google"    "IBM"       "Microsoft"
## [1267,] "Samsung"   "Cisco"     "Google"    "Intel"     "Apple"    
## [1268,] "Samsung"   "Cisco"     "Google"    "Intel"     "BMW"      
## [1269,] "Samsung"   "Cisco"     "Google"    "Intel"     "Coca-Cola"
## [1270,] "Samsung"   "Cisco"     "Google"    "Intel"     "IBM"      
## [1271,] "Samsung"   "Cisco"     "Google"    "Intel"     "McDonalds"
## [1272,] "Samsung"   "Cisco"     "Google"    "Intel"     "Microsoft"
## [1273,] "Samsung"   "Cisco"     "Google"    "McDonalds" "Apple"    
## [1274,] "Samsung"   "Cisco"     "Google"    "McDonalds" "BMW"      
## [1275,] "Samsung"   "Cisco"     "Google"    "McDonalds" "Coca-Cola"
## [1276,] "Samsung"   "Cisco"     "Google"    "McDonalds" "IBM"      
## [1277,] "Samsung"   "Cisco"     "Google"    "McDonalds" "Intel"    
## [1278,] "Samsung"   "Cisco"     "Google"    "McDonalds" "Microsoft"
## [1279,] "Samsung"   "Cisco"     "Google"    "Microsoft" "Apple"    
## [1280,] "Samsung"   "Cisco"     "Google"    "Microsoft" "BMW"      
## [1281,] "Samsung"   "Cisco"     "Google"    "Microsoft" "Coca-Cola"
## [1282,] "Samsung"   "Cisco"     "Google"    "Microsoft" "IBM"      
## [1283,] "Samsung"   "Cisco"     "Google"    "Microsoft" "Intel"    
## [1284,] "Samsung"   "Cisco"     "Google"    "Microsoft" "McDonalds"
## [1285,] "Samsung"   "Coca-Cola" "Apple"     "Cisco"     "Google"   
## [1286,] "Samsung"   "Coca-Cola" "BMW"       "Cisco"     "Google"   
## [1287,] "Samsung"   "Coca-Cola" "Cisco"     "Google"    "Apple"    
## [1288,] "Samsung"   "Coca-Cola" "Cisco"     "Google"    "BMW"      
## [1289,] "Samsung"   "Coca-Cola" "Cisco"     "Google"    "IBM"      
## [1290,] "Samsung"   "Coca-Cola" "Cisco"     "Google"    "Intel"    
## [1291,] "Samsung"   "Coca-Cola" "Cisco"     "Google"    "McDonalds"
## [1292,] "Samsung"   "Coca-Cola" "Cisco"     "Google"    "Microsoft"
## [1293,] "Samsung"   "Coca-Cola" "IBM"       "Cisco"     "Google"   
## [1294,] "Samsung"   "Coca-Cola" "Intel"     "Cisco"     "Google"   
## [1295,] "Samsung"   "Coca-Cola" "McDonalds" "Cisco"     "Google"   
## [1296,] "Samsung"   "Coca-Cola" "Microsoft" "Cisco"     "Google"   
## [1297,] "Samsung"   "IBM"       "Apple"     "Cisco"     "Google"   
## [1298,] "Samsung"   "IBM"       "BMW"       "Cisco"     "Google"   
## [1299,] "Samsung"   "IBM"       "Cisco"     "Google"    "Apple"    
## [1300,] "Samsung"   "IBM"       "Cisco"     "Google"    "BMW"      
## [1301,] "Samsung"   "IBM"       "Cisco"     "Google"    "Coca-Cola"
## [1302,] "Samsung"   "IBM"       "Cisco"     "Google"    "Intel"    
## [1303,] "Samsung"   "IBM"       "Cisco"     "Google"    "McDonalds"
## [1304,] "Samsung"   "IBM"       "Cisco"     "Google"    "Microsoft"
## [1305,] "Samsung"   "IBM"       "Coca-Cola" "Cisco"     "Google"   
## [1306,] "Samsung"   "IBM"       "Intel"     "Cisco"     "Google"   
## [1307,] "Samsung"   "IBM"       "McDonalds" "Cisco"     "Google"   
## [1308,] "Samsung"   "IBM"       "Microsoft" "Cisco"     "Google"   
## [1309,] "Samsung"   "Intel"     "Apple"     "Cisco"     "Google"   
## [1310,] "Samsung"   "Intel"     "BMW"       "Cisco"     "Google"   
## [1311,] "Samsung"   "Intel"     "Cisco"     "Google"    "Apple"    
## [1312,] "Samsung"   "Intel"     "Cisco"     "Google"    "BMW"      
## [1313,] "Samsung"   "Intel"     "Cisco"     "Google"    "Coca-Cola"
## [1314,] "Samsung"   "Intel"     "Cisco"     "Google"    "IBM"      
## [1315,] "Samsung"   "Intel"     "Cisco"     "Google"    "McDonalds"
## [1316,] "Samsung"   "Intel"     "Cisco"     "Google"    "Microsoft"
## [1317,] "Samsung"   "Intel"     "Coca-Cola" "Cisco"     "Google"   
## [1318,] "Samsung"   "Intel"     "IBM"       "Cisco"     "Google"   
## [1319,] "Samsung"   "Intel"     "McDonalds" "Cisco"     "Google"   
## [1320,] "Samsung"   "Intel"     "Microsoft" "Cisco"     "Google"   
## [1321,] "Samsung"   "McDonalds" "Apple"     "Cisco"     "Google"   
## [1322,] "Samsung"   "McDonalds" "BMW"       "Cisco"     "Google"   
## [1323,] "Samsung"   "McDonalds" "Cisco"     "Google"    "Apple"    
## [1324,] "Samsung"   "McDonalds" "Cisco"     "Google"    "BMW"      
## [1325,] "Samsung"   "McDonalds" "Cisco"     "Google"    "Coca-Cola"
## [1326,] "Samsung"   "McDonalds" "Cisco"     "Google"    "IBM"      
## [1327,] "Samsung"   "McDonalds" "Cisco"     "Google"    "Intel"    
## [1328,] "Samsung"   "McDonalds" "Cisco"     "Google"    "Microsoft"
## [1329,] "Samsung"   "McDonalds" "Coca-Cola" "Cisco"     "Google"   
## [1330,] "Samsung"   "McDonalds" "IBM"       "Cisco"     "Google"   
## [1331,] "Samsung"   "McDonalds" "Intel"     "Cisco"     "Google"   
## [1332,] "Samsung"   "McDonalds" "Microsoft" "Cisco"     "Google"   
## [1333,] "Samsung"   "Microsoft" "Apple"     "Cisco"     "Google"   
## [1334,] "Samsung"   "Microsoft" "BMW"       "Cisco"     "Google"   
## [1335,] "Samsung"   "Microsoft" "Cisco"     "Google"    "Apple"    
## [1336,] "Samsung"   "Microsoft" "Cisco"     "Google"    "BMW"      
## [1337,] "Samsung"   "Microsoft" "Cisco"     "Google"    "Coca-Cola"
## [1338,] "Samsung"   "Microsoft" "Cisco"     "Google"    "IBM"      
## [1339,] "Samsung"   "Microsoft" "Cisco"     "Google"    "Intel"    
## [1340,] "Samsung"   "Microsoft" "Cisco"     "Google"    "McDonalds"
## [1341,] "Samsung"   "Microsoft" "Coca-Cola" "Cisco"     "Google"   
## [1342,] "Samsung"   "Microsoft" "IBM"       "Cisco"     "Google"   
## [1343,] "Samsung"   "Microsoft" "Intel"     "Cisco"     "Google"   
## [1344,] "Samsung"   "Microsoft" "McDonalds" "Cisco"     "Google"
frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " aparece de manera contigua y en este orden las marcas de Cisco y Google en cualquier columna , de un total de ", nrow(Pern.marcas), " representan ", round(frecuencia / nrow(Pern.marcas) * 100, 2), "%")
## [1] "Existen  1344  aparece de manera contigua y en este orden las marcas de Cisco y Google en cualquier columna , de un total de  30240  representan  4.44 %"

6 Bibliografía

Anderson, David R., Dennis J. Sweeney, and Thomas A. Williams. 2008. Estadística Para Administración y Economía. 10th ed. Australia Brasil Corea España Estados Unidos Japón México Reino Unido Singapur: Cengage Learning,. Mendenhall, William, Robert J. Beaver, and Barbara M. Beaver. 2010. Introducción a La Probabilidad y Estadística. 13th ed. Cengage Learning Editores, S.A. de C.V.,. Walpole, Ronald E., Raymond H. Myers, and Sharon L. Myers. 2012. Probabilidad y Estadística Para Ingeniería y Ciencias. Novena Edición. México: Pearson.