Wilson Vincent Homework 2

wvincent — Oct 7, 2013, 10:10 PM

#Wilson Vincent
#Homwork 2
#10/07/2013

#2.1
#Created the directory, project, and R script. Ran code from this script. 

#2.2
#The six different types of objects are the automic objects in which all objects are of the same mode, (1) vector, (2) matrix, (3) array, and recursive objec in which objects can differ in their mode, (4) list, data rame, and function. 

#A vector is a group of objects or elements that are of the same mode (e.g., character, numeric). 
#A matrix is a two-dimensional group of objects or elements that are of the same mode. This is essentially a two-dimensional vector. 
#An array is a multi-dimensional group of objects of the same mode, and it is of at least three dimensions. It is a multidimensional version of a vector or matrix. 
#A list is a group of data objects that have no restrictions. 
#A data frame is a  two-dimnsional group of objects without restrictions. It is a two-dimensional list. 
#A function is essentially an action that, for example, allow one to manipulate data (e.g., creating or removing objects) or perform operations (e.g., muliplication)

#2.3
#We can index an object in three ways, by name, by position, and by logical operation. 

#2.4
#Any R object components that can be indexed, can be REPLACED. 

#2.5
#The following is my effort at recreating Table 2.37. 

obs <- c(139, 230, 443, 502)

table <- matrix(c(130, 443, 230, 502), nrow = 2, ncol = 2, dimnames = list("Vital Status" = c("Dead", "Alive"), Smoking = c("Yes", "No")))
table
            Smoking
Vital Status Yes  No
       Dead  130 230
       Alive 443 502


#2.6
#The followin is my recreation of Table 2.38. 

rowtot <- apply(table, 1, sum)
table2 <- cbind(table, Total = rowtot)
coltot <- apply(table2, 2, sum)
table2 <- rbind(table2, Total = coltot)
names(dimnames(table2)) <- c("Vital Status", "Smoking")
rowtot
 Dead Alive 
  360   945 
coltot
  Yes    No Total 
  573   732  1305 
table2
            Smoking
Vital Status Yes  No Total
       Dead  130 230   360
       Alive 443 502   945
       Total 573 732  1305


#2.7
#Calculating marginal and joint distributions from the table of Problem 2.5. 

#row distribution
rowtot <- apply(table, 1, sum)
rowdist <- sweep(table, 1, rowtot, "/")
rowdist
            Smoking
Vital Status    Yes     No
       Dead  0.3611 0.6389
       Alive 0.4688 0.5312


#column distribution
coltot <- apply(table, 2, sum)
coldist <- sweep(table, 2, coltot, "/")
coldist
            Smoking
Vital Status    Yes     No
       Dead  0.2269 0.3142
       Alive 0.7731 0.6858


#joint distribution 
jntdist <- table/sum(table); jntdist
            Smoking
Vital Status     Yes     No
       Dead  0.09962 0.1762
       Alive 0.33946 0.3847
distrib <- list(row.distribution = rowdist, col.distribution = coldist, joint.distribution = jntdist)
distrib
$row.distribution
            Smoking
Vital Status    Yes     No
       Dead  0.3611 0.6389
       Alive 0.4688 0.5312

$col.distribution
            Smoking
Vital Status    Yes     No
       Dead  0.2269 0.3142
       Alive 0.7731 0.6858

$joint.distribution
            Smoking
Vital Status     Yes     No
       Dead  0.09962 0.1762
       Alive 0.33946 0.3847


#2.8
#Recreating Table 2.39

risk = table2[1,1:2]/table2[3,1:2]
risk.ratio <- risk/risk[2]
odds <- risk/(1-risk)
odds.ratio <- odds/odds[2]
ratios <- rbind(risk, risk.ratio, odds, odds.ratio)
ratios
              Yes     No
risk       0.2269 0.3142
risk.ratio 0.7221 1.0000
odds       0.2935 0.4582
odds.ratio 0.6405 1.0000


#2.9
#Calculating the reisk of death comparing smokers to non-smokers. 

wdat = read.table("http://www.medepi.net/data/whickham-engl.txt",
                  sep = ",", header = TRUE)
str(wdat)
'data.frame':   1314 obs. of  3 variables:
 $ Vital.Status: Factor w/ 2 levels "Alive","Dead": 2 2 1 1 1 1 1 1 1 1 ...
 $ Smoking     : Factor w/ 2 levels "No","Yes": 2 2 2 2 2 2 2 2 2 2 ...
 $ Age         : Factor w/ 7 levels "18-24","25-34",..: 1 1 1 1 1 1 1 1 1 1 ...
xtabs(~Vital.Status + Age + Smoking, data = wdat)
, , Smoking = No

            Age
Vital.Status 18-24 25-34 35-44 45-54 55-64 65-74 75+
       Alive    61   152   114    66    81    28   0
       Dead      1     5     7    12    40   101  64

, , Smoking = Yes

            Age
Vital.Status 18-24 25-34 35-44 45-54 55-64 65-74 75+
       Alive    53   121    95   103    64     7   0
       Dead      2     3    14    27    51    29  13
wdat.vas = xtabs(~Vital.Status + Age + Smoking, data = wdat)
wdat.vas
, , Smoking = No

            Age
Vital.Status 18-24 25-34 35-44 45-54 55-64 65-74 75+
       Alive    61   152   114    66    81    28   0
       Dead      1     5     7    12    40   101  64

, , Smoking = Yes

            Age
Vital.Status 18-24 25-34 35-44 45-54 55-64 65-74 75+
       Alive    53   121    95   103    64     7   0
       Dead      2     3    14    27    51    29  13
wdat.tot.vas = apply(wdat.vas, c(2, 3), sum)
wdat.risk.vas = sweep(wdat.vas, c(2, 3), wdat.tot.vas, "/")
round(wdat.risk.vas, 2)
, , Smoking = No

            Age
Vital.Status 18-24 25-34 35-44 45-54 55-64 65-74  75+
       Alive  0.98  0.97  0.94  0.85  0.67  0.22 0.00
       Dead   0.02  0.03  0.06  0.15  0.33  0.78 1.00

, , Smoking = Yes

            Age
Vital.Status 18-24 25-34 35-44 45-54 55-64 65-74  75+
       Alive  0.96  0.98  0.87  0.79  0.56  0.19 0.00
       Dead   0.04  0.02  0.13  0.21  0.44  0.81 1.00


#The risk of death appears to increase with more markedly at a younger age for smokers than non-smokers (i.e., ages 35-44 for smokers compared to ages 45 to 54 for non-smokers). However, there may be an age effect here, given that the risk of death seems to increase greatly with age for both groups. 

#2.10
#Evaluating the structure of a data frame and creating a #D array using the table or xtabs functions.
std <- read.table("http://www.medepi.net/data/syphilis89c.txt",
                  head = TRUE, sep = ",")
str(std)
'data.frame':   44081 obs. of  3 variables:
 $ Sex : Factor w/ 2 levels "Female","Male": 2 2 2 2 2 2 2 2 2 2 ...
 $ Race: Factor w/ 3 levels "Black","Other",..: 3 3 3 3 3 3 3 3 3 3 ...
 $ Age : Factor w/ 8 levels "<=14",">55","15-19",..: 1 1 3 3 3 3 3 3 3 3 ...
head(std)
   Sex  Race   Age
1 Male White  <=14
2 Male White  <=14
3 Male White 15-19
4 Male White 15-19
5 Male White 15-19
6 Male White 15-19
lapply(std, table)
$Sex

Female   Male 
 18075  26006 

$Race

Black Other White 
35508  3956  4617 

$Age

 <=14   >55 15-19 20-24 25-29 30-34 35-44 45-54 
  230  1278  4378 10405  9610  8648  6901  2631 

table(std$Race, std$Age, std$Sex)
, ,  = Female


        <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black  165   92  2257  4503  3590  2628  1505   392
  Other   11   15   158   307   283   167   149    40
  White   14   24   253   475   433   316   243    55

, ,  = Male


        <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black   31  823  1412  4059  4121  4453  3858  1619
  Other    7  108   210   654   633   520   492   202
  White    2  216    88   407   550   564   654   323
xtabs(~Race + Age + Sex, data = std)
, , Sex = Female

       Age
Race    <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black  165   92  2257  4503  3590  2628  1505   392
  Other   11   15   158   307   283   167   149    40
  White   14   24   253   475   433   316   243    55

, , Sex = Male

       Age
Race    <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black   31  823  1412  4059  4121  4453  3858  1619
  Other    7  108   210   654   633   520   492   202
  White    2  216    88   407   550   564   654   323


attach(std)
table(Race, Age, Sex)
, , Sex = Female

       Age
Race    <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black  165   92  2257  4503  3590  2628  1505   392
  Other   11   15   158   307   283   167   149    40
  White   14   24   253   475   433   316   243    55

, , Sex = Male

       Age
Race    <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black   31  823  1412  4059  4121  4453  3858  1619
  Other    7  108   210   654   633   520   492   202
  White    2  216    88   407   550   564   654   323
xtabs(~Race + Age + Sex)
, , Sex = Female

       Age
Race    <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black  165   92  2257  4503  3590  2628  1505   392
  Other   11   15   158   307   283   167   149    40
  White   14   24   253   475   433   316   243    55

, , Sex = Male

       Age
Race    <=14  >55 15-19 20-24 25-29 30-34 35-44 45-54
  Black   31  823  1412  4059  4121  4453  3858  1619
  Other    7  108   210   654   633   520   492   202
  White    2  216    88   407   550   564   654   323
detach(std)

#The resulting tables are essntially the same as the last one shown above. 

#2.11
tab.ars <- table(std$Age, std$Race, std$Sex)
# 2-D tables
tab.ar <- apply(tab.ars, c(1, 2), sum); tab.ar

        Black Other White
  <=14    196    18    16
  >55     915   123   240
  15-19  3669   368   341
  20-24  8562   961   882
  25-29  7711   916   983
  30-34  7081   687   880
  35-44  5363   641   897
  45-54  2011   242   378
tab.as <- apply(tab.ars, c(1, 3), sum); tab.as

        Female Male
  <=14     190   40
  >55      131 1147
  15-19   2668 1710
  20-24   5285 5120
  25-29   4306 5304
  30-34   3111 5537
  35-44   1897 5004
  45-54    487 2144
tab.rs <- apply(tab.ars, c(2, 3), sum); tab.rs

        Female  Male
  Black  15132 20376
  Other   1130  2826
  White   1813  2804
# 1-D tables
tab.a <- apply(tab.ars, 1, sum); tab.a
 <=14   >55 15-19 20-24 25-29 30-34 35-44 45-54 
  230  1278  4378 10405  9610  8648  6901  2631 
tab.r <- apply(tab.ars, 2, sum); tab.r
Black Other White 
35508  3956  4617 
tab.s <- apply(tab.ars, 3, sum); tab.s
Female   Male 
 18075  26006 


#2.12
tab.ars <- table(std$Age, std$Race, std$Sex)
# row distrib
rowt <- apply(tab.ars, c(1, 3), sum)
rowd <- sweep(tab.ars, c(1, 3), rowt, "/"); rowd
, ,  = Female


          Black   Other   White
  <=14  0.86842 0.05789 0.07368
  >55   0.70229 0.11450 0.18321
  15-19 0.84595 0.05922 0.09483
  20-24 0.85203 0.05809 0.08988
  25-29 0.83372 0.06572 0.10056
  30-34 0.84474 0.05368 0.10158
  35-44 0.79336 0.07855 0.12810
  45-54 0.80493 0.08214 0.11294

, ,  = Male


          Black   Other   White
  <=14  0.77500 0.17500 0.05000
  >55   0.71752 0.09416 0.18832
  15-19 0.82573 0.12281 0.05146
  20-24 0.79277 0.12773 0.07949
  25-29 0.77696 0.11934 0.10370
  30-34 0.80423 0.09391 0.10186
  35-44 0.77098 0.09832 0.13070
  45-54 0.75513 0.09422 0.15065
#confirm
apply(rowd, c(1, 3), sum)

        Female Male
  <=14       1    1
  >55        1    1
  15-19      1    1
  20-24      1    1
  25-29      1    1
  30-34      1    1
  35-44      1    1
  45-54      1    1

# col distrib
colt <- apply(tab.ars, c(2, 3), sum)
cold <- sweep(tab.ars, c(2, 3), colt, "/"); cold
, ,  = Female


            Black     Other     White
  <=14  0.0109040 0.0097345 0.0077220
  >55   0.0060798 0.0132743 0.0132377
  15-19 0.1491541 0.1398230 0.1395477
  20-24 0.2975813 0.2716814 0.2619967
  25-29 0.2372456 0.2504425 0.2388307
  30-34 0.1736717 0.1477876 0.1742967
  35-44 0.0994581 0.1318584 0.1340320
  45-54 0.0259054 0.0353982 0.0303365

, ,  = Male


            Black     Other     White
  <=14  0.0015214 0.0024770 0.0007133
  >55   0.0403907 0.0382166 0.0770328
  15-19 0.0692972 0.0743100 0.0313837
  20-24 0.1992049 0.2314225 0.1451498
  25-29 0.2022477 0.2239915 0.1961484
  30-34 0.2185414 0.1840057 0.2011412
  35-44 0.1893404 0.1740977 0.2332382
  45-54 0.0794562 0.0714791 0.1151926
#confirm
apply(cold, c(2, 3), sum)

        Female Male
  Black      1    1
  Other      1    1
  White      1    1
# joint distrib
jtt <- apply(tab.ars, 3, sum)
jtd <- sweep(tab.ars, 3, jtt, "/"); jtd
, ,  = Female


            Black     Other     White
  <=14  9.129e-03 6.086e-04 7.746e-04
  >55   5.090e-03 8.299e-04 1.328e-03
  15-19 1.249e-01 8.741e-03 1.400e-02
  20-24 2.491e-01 1.698e-02 2.628e-02
  25-29 1.986e-01 1.566e-02 2.396e-02
  30-34 1.454e-01 9.239e-03 1.748e-02
  35-44 8.326e-02 8.243e-03 1.344e-02
  45-54 2.169e-02 2.213e-03 3.043e-03

, ,  = Male


            Black     Other     White
  <=14  1.192e-03 2.692e-04 7.691e-05
  >55   3.165e-02 4.153e-03 8.306e-03
  15-19 5.430e-02 8.075e-03 3.384e-03
  20-24 1.561e-01 2.515e-02 1.565e-02
  25-29 1.585e-01 2.434e-02 2.115e-02
  30-34 1.712e-01 2.000e-02 2.169e-02
  35-44 1.484e-01 1.892e-02 2.515e-02
  45-54 6.225e-02 7.767e-03 1.242e-02
#confirm
apply(jtd, 3, sum)
Female   Male 
     1      1 
distr <- list(row.distribution = rowd,
              col.distribution = cold,
              joint.distribution = jtd)
distr
$row.distribution
, ,  = Female


          Black   Other   White
  <=14  0.86842 0.05789 0.07368
  >55   0.70229 0.11450 0.18321
  15-19 0.84595 0.05922 0.09483
  20-24 0.85203 0.05809 0.08988
  25-29 0.83372 0.06572 0.10056
  30-34 0.84474 0.05368 0.10158
  35-44 0.79336 0.07855 0.12810
  45-54 0.80493 0.08214 0.11294

, ,  = Male


          Black   Other   White
  <=14  0.77500 0.17500 0.05000
  >55   0.71752 0.09416 0.18832
  15-19 0.82573 0.12281 0.05146
  20-24 0.79277 0.12773 0.07949
  25-29 0.77696 0.11934 0.10370
  30-34 0.80423 0.09391 0.10186
  35-44 0.77098 0.09832 0.13070
  45-54 0.75513 0.09422 0.15065


$col.distribution
, ,  = Female


            Black     Other     White
  <=14  0.0109040 0.0097345 0.0077220
  >55   0.0060798 0.0132743 0.0132377
  15-19 0.1491541 0.1398230 0.1395477
  20-24 0.2975813 0.2716814 0.2619967
  25-29 0.2372456 0.2504425 0.2388307
  30-34 0.1736717 0.1477876 0.1742967
  35-44 0.0994581 0.1318584 0.1340320
  45-54 0.0259054 0.0353982 0.0303365

, ,  = Male


            Black     Other     White
  <=14  0.0015214 0.0024770 0.0007133
  >55   0.0403907 0.0382166 0.0770328
  15-19 0.0692972 0.0743100 0.0313837
  20-24 0.1992049 0.2314225 0.1451498
  25-29 0.2022477 0.2239915 0.1961484
  30-34 0.2185414 0.1840057 0.2011412
  35-44 0.1893404 0.1740977 0.2332382
  45-54 0.0794562 0.0714791 0.1151926


$joint.distribution
, ,  = Female


            Black     Other     White
  <=14  9.129e-03 6.086e-04 7.746e-04
  >55   5.090e-03 8.299e-04 1.328e-03
  15-19 1.249e-01 8.741e-03 1.400e-02
  20-24 2.491e-01 1.698e-02 2.628e-02
  25-29 1.986e-01 1.566e-02 2.396e-02
  30-34 1.454e-01 9.239e-03 1.748e-02
  35-44 8.326e-02 8.243e-03 1.344e-02
  45-54 2.169e-02 2.213e-03 3.043e-03

, ,  = Male


            Black     Other     White
  <=14  1.192e-03 2.692e-04 7.691e-05
  >55   3.165e-02 4.153e-03 8.306e-03
  15-19 5.430e-02 8.075e-03 3.384e-03
  20-24 1.561e-01 2.515e-02 1.565e-02
  25-29 1.585e-01 2.434e-02 2.115e-02
  30-34 1.712e-01 2.000e-02 2.169e-02
  35-44 1.484e-01 1.892e-02 2.515e-02
  45-54 6.225e-02 7.767e-03 1.242e-02


#2.13
sdat89b <- read.csv("http://www.medepi.net/data/syphilis89b.txt")
str(sdat89b)
'data.frame':   48 obs. of  4 variables:
 $ Sex : Factor w/ 2 levels "Female","Male": 2 1 2 1 2 1 2 1 2 1 ...
 $ Race: Factor w/ 3 levels "Black","Other",..: 3 3 1 1 2 2 3 3 1 1 ...
 $ Age : Factor w/ 8 levels "<=14",">55","15-19",..: 1 1 1 1 1 1 3 3 3 3 ...
 $ Freq: int  2 14 31 165 7 11 88 253 1412 2257 ...
Sex <- rep(sdat89b$Sex, sdat89b$Freq)
Race <- rep(sdat89b$Race, sdat89b$Freq)
Age <- rep(sdat89b$Age, sdat89b$Freq)
sdat89.df <- data.frame(Sex, Race, Age)
str(sdat89.df)
'data.frame':   44081 obs. of  3 variables:
 $ Sex : Factor w/ 2 levels "Female","Male": 2 2 1 1 1 1 1 1 1 1 ...
 $ Race: Factor w/ 3 levels "Black","Other",..: 3 3 3 3 3 3 3 3 3 3 ...
 $ Age : Factor w/ 8 levels "<=14",">55","15-19",..: 1 1 1 1 1 1 1 1 1 1 ...



#2.14
# Explaining what R is doing in my own words. 

#1 Read county names
cty <- scan("http://www.medepi.net/data/calpop/calcounty.txt", what="")

#This R code created a character vector, which can be used as the names of counties. 

#2 Read county population estimates
calpop = read.csv("http://www.medepi.net/data/calpop/CalCounties2000.txt", header = T)

# R script has created a data frame, calpop, with "variables" such as race/ethnicity and gender. 

#2 Replace county number with county name
for(i in 1:length(cty)){calpop$County[calpop$County==i] <- cty[i]}

#R script has replaced the county number with the county name (a character vector)

#3 Discretize age into categories
calpop$Agecat <- cut(calpop$Age, c(0,20,45,65,100),
                     include.lowest = TRUE, right = FALSE)
calpop$Agecat
    [1] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
    [8] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
   [15] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [20,45) 
   [22] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
   [29] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
   [36] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
   [43] [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65) 
   [50] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
   [57] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
   [64] [45,65)  [45,65)  [65,100] [65,100] [65,100] [65,100] [65,100]
   [71] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
   [78] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
   [85] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
   [92] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
   [99] [65,100] [65,100] [65,100] [0,20)   [0,20)   [0,20)   [0,20)  
  [106] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
  [113] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
  [120] [0,20)   [0,20)   [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
  [127] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
  [134] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
  [141] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65) 
  [148] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
  [155] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
  [162] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100]
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 [1408] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1415] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1422] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1429] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [20,45) 
 [1436] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1443] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1450] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1457] [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1464] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1471] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1478] [45,65)  [45,65)  [65,100] [65,100] [65,100] [65,100] [65,100]
 [1485] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1492] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1499] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1506] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1513] [65,100] [65,100] [65,100] [0,20)   [0,20)   [0,20)   [0,20)  
 [1520] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1527] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1534] [0,20)   [0,20)   [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1541] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1548] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1555] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65) 
 [1562] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1569] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1576] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100]
 [1583] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1590] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1597] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1604] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1611] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [0,20)  
 [1618] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1625] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1632] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [20,45)  [20,45) 
 [1639] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1646] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1653] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1660] [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1667] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1674] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1681] [45,65)  [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1688] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1695] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1702] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1709] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1716] [65,100] [65,100] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1723] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1730] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1737] [0,20)   [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1744] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1751] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1758] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65)  [45,65) 
 [1765] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1772] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1779] [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100] [65,100]
 [1786] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1793] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1800] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1807] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1814] [65,100] [65,100] [65,100] [65,100] [65,100] [0,20)   [0,20)  
 [1821] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1828] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1835] [0,20)   [0,20)   [0,20)   [0,20)   [20,45)  [20,45)  [20,45) 
 [1842] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1849] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1856] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1863] [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1870] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1877] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1884] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1891] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1898] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1905] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1912] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1919] [65,100] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1926] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1933] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [1940] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1947] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1954] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [1961] [20,45)  [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65) 
 [1968] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1975] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [1982] [45,65)  [45,65)  [45,65)  [65,100] [65,100] [65,100] [65,100]
 [1989] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [1996] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2003] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2010] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2017] [65,100] [65,100] [65,100] [65,100] [0,20)   [0,20)   [0,20)  
 [2024] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2031] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2038] [0,20)   [0,20)   [0,20)   [20,45)  [20,45)  [20,45)  [20,45) 
 [2045] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2052] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2059] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2066] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2073] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2080] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [65,100]
 [2087] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2094] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2101] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2108] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2115] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2122] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2129] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2136] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [20,45) 
 [2143] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2150] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2157] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2164] [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2171] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2178] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2185] [45,65)  [45,65)  [65,100] [65,100] [65,100] [65,100] [65,100]
 [2192] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2199] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2206] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2213] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2220] [65,100] [65,100] [65,100] [0,20)   [0,20)   [0,20)   [0,20)  
 [2227] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2234] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2241] [0,20)   [0,20)   [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2248] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2255] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2262] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65) 
 [2269] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2276] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2283] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100]
 [2290] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2297] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2304] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2311] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2318] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [0,20)  
 [2325] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2332] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2339] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [20,45)  [20,45) 
 [2346] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2353] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2360] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2367] [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2374] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2381] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2388] [45,65)  [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2395] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2402] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2409] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2416] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2423] [65,100] [65,100] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2430] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2437] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2444] [0,20)   [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2451] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2458] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2465] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65)  [45,65) 
 [2472] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2479] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2486] [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100] [65,100]
 [2493] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2500] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2507] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2514] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2521] [65,100] [65,100] [65,100] [65,100] [65,100] [0,20)   [0,20)  
 [2528] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2535] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2542] [0,20)   [0,20)   [0,20)   [0,20)   [20,45)  [20,45)  [20,45) 
 [2549] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2556] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2563] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2570] [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2577] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2584] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
 [2591] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2598] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2605] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2612] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2619] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
 [2626] [65,100] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2633] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2640] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
 [2647] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2654] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2661] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
 [2668] [20,45)  [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65) 
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[10963] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
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[11047] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11054] [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11061] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11068] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
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[11166] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
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[11250] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11257] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11264] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
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[11355] [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65) 
[11362] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11369] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
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[11439] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11446] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11453] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65) 
[11460] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11467] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11474] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100]
[11481] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11488] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11495] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11502] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11509] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [0,20)  
[11516] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11523] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11530] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [20,45)  [20,45) 
[11537] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11544] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11551] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11558] [20,45)  [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11565] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11572] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11579] [45,65)  [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11586] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11593] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11600] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11607] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11614] [65,100] [65,100] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11621] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11628] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11635] [0,20)   [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11642] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11649] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11656] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [45,65)  [45,65) 
[11663] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11670] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11677] [45,65)  [45,65)  [45,65)  [45,65)  [65,100] [65,100] [65,100]
[11684] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11691] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11698] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11705] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11712] [65,100] [65,100] [65,100] [65,100] [65,100] [0,20)   [0,20)  
[11719] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11726] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11733] [0,20)   [0,20)   [0,20)   [0,20)   [20,45)  [20,45)  [20,45) 
[11740] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11747] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11754] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11761] [20,45)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11768] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11775] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11782] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11789] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11796] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11803] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11810] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11817] [65,100] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11824] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11831] [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)   [0,20)  
[11838] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11845] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11852] [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45)  [20,45) 
[11859] [20,45)  [20,45)  [20,45)  [20,45)  [45,65)  [45,65)  [45,65) 
[11866] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11873] [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65)  [45,65) 
[11880] [45,65)  [45,65)  [45,65)  [65,100] [65,100] [65,100] [65,100]
[11887] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11894] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11901] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11908] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100] [65,100]
[11915] [65,100] [65,100] [65,100] [65,100]
Levels: [0,20) [20,45) [45,65) [65,100]

# This R script has categorized age into a four-level categorical variable with the following levels: [0,20) [20,45) [45,65) [65,100]. 

#4 Create combined API category
calpop$AsianPI <- calpop$Asian + calpop$Pacific.Islander
calpop$Asian
    [1]  1921  1820  1930  1998  2029  1998  1984  1993  1957  2031  1967
   [12]  1945  1897  1862  1736  1855  1869  1896  2056  2307  2522  2526
   [23]  2399  2432  2573  2731  2790  2966  3022  3125  3324  3251  3062
   [34]  2887  2916  3077  3195  3145  2923  2815  2847  2645  2607  2538
   [45]  2484  2485  2337  2266  2190  2174  2246  2085  1870  1721  1479
   [56]  1363  1284  1202  1166  1144  1103  1065  1082  1099  1079  1106
   [67]  1065   986   958   949   943   888   841   815   824   767   715
   [78]   615   539   533   455   393   347   307   281   262   234   188
   [89]   145   130   102    78    56    46    36    34    24    18    21
  [100]    14    27  2033  1985  2007  2132  2141  2178  2214  2128  2177
  [111]  2108  2052  2110  2002  1876  1882  1963  1970  1947  2038  2322
  [122]  2539  2454  2233  2266  2297  2494  2566  2811  2897  2988  3078
  [133]  2995  2827  2701  2749  3011  3048  3001  2722  2611  2779  2652
  [144]  2509  2412  2351  2381  2226  2044  1993  1929  2032  1870  1744
  [155]  1525  1346  1256  1154  1054   949   980  1023   926   904   863
  [166]   823   854   829   782   754   751   733   672   634   619   561
  [177]   578   528   476   408   361   368   274   232   218   174   139
  [188]   138   119   105    88    64    43    48    36    22    13    10
  [199]    10     7     4     8     0     0     0     0     0     0     0
  [210]     0     0     0     0     0     0     0     0     0     0     0
  [221]     0     0     0     0     0     0     0     0     0     0     0
  [232]     0     0     0     0     0     0     0     0     0     0     0
  [243]     0     0     0     0     0     0     0     0     0     0     0
  [254]     1     0     0     0     0     0     0     0     0     0     0
  [265]     0     0     0     0     0     0     0     0     0     0     0
  [276]     0     0     0     0     0     0     0     0     0     0     0
  [287]     0     0     0     0     0     0     0     0     0     0     0
  [298]     0     0     0     0     0     0     0     0     0     0     0
  [309]     0     0     0     0     0     0     0     0     0     0     0
  [320]     0     0     0     0     0     0     1     0     0     0     0
  [331]     1     0     0     0     0     0     0     0     0     0     0
  [342]     0     0     0     0     0     0     0     0     0     0     1
  [353]     0     0     0     0     0     0     0     0     0     0     0
  [364]     0     0     0     0     0     0     0     0     0     0     0
  [375]     0     0     0     0     0     0     0     0     0     0     0
  [386]     0     0     0     0     0     0     0     0     0     0     0
  [397]     0     0     0     0     0     0     0     0     1     2     2
  [408]     0     1     0     2     1     3     2     2     3     3     2
  [419]     1     4     3     5     2     0     0     0     0     1     0
  [430]     0     2     2     1     1     2     3     3     2     2     1
  [441]     0     2     3     4     3     5     3     2     2     2     1
  [452]     2     4     2     1     3     3     3     3     3     1     3
  [463]     3     2     2     1     1     0     0     0     2     1     2
  [474]     3     1     0     0     2     2     2     1     0     1     0
  [485]     0     0     0     0     0     0     0     0     0     0     0
  [496]     1     0     0     0     0     0     0     0     0     0     3
  [507]     2     2     3     2     0     2     5     2     0     0     3
  [518]     2     2     3     1     3     9    35    14     9     5     4
  [529]     5     4     3     5     6     4     2     1     1     4     2
  [540]     2     1     1     2     3     2     4     3     4     4     3
  [551]     2     2     3     3     3     1     5     3     3     1     0
  [562]     1     0     1     1     1     0     2     3     1     0     1
  [573]     1     0     1     2     2     2     1     0     0     0     0
  [584]     0     0     0     0     0     1     0     0     0     0     0
  [595]     0     0     0     0     0     1     0     0     0     0     0
  [606]     0    52    50    59    71    78    85    59    72    86    91
  [617]    90    96    89    91    95    82    81    77    94    91   111
  [628]   105   107    88    70    59    57    43    43    30    31    35
  [639]    34    36    38    39    38    38    43    40    45    43    43
  [650]    38    42    48    37    39    37    44    32    34    36    32
  [661]    28    23    14    17    17    17    12    17    16    19    19
  [672]    12    14    12    10    10    10    13    16    14    11     5
  [683]    10     8     7     6     7    11     7     6     4     6     4
  [694]     8     6     1     2     1     1     0     0     0     0     0
  [705]     0     0     0    58    54    55    75    66    74    81    91
  [716]   100   108   104    96    98   103   111   109    94    95   101
  [727]    94   105    88    86    92    83    78    60    51    41    47
  [738]    41    34    28    20    26    41    28    26    32    35    38
  [749]    29    31    31    33    32    35    40    28    31    32    26
  [760]    25    25    23    16    15    18    14    14    15    10    13
  [771]    13    12    14    11     7     7     6     6     5     9     8
  [782]     4     6     4     7     7     4     4     5     5     3     3
  [793]     2     2     3     2     1     2     1     1     0     1     0
  [804]     0     0     0     0     0     2     2     3     1     2     3
  [815]     3     3     1     1     1     2     5     3     4     3     3
  [826]     4     3     2     2     3     3     2     0     2     3     3
  [837]     1     1     1     2     3     1     2     3     3     3     2
  [848]     2     3     5     3     5     3     3     3     6     5     4
  [859]     2     2     4     3     4     6     4     3     4     2     2
  [870]     3     4     3     3     3     5     3     3     3     3     1
  [881]     2     6     3     0     1     0     0     1     0     0     1
  [892]     0     0     0     1     0     0     0     0     0     0     0
  [903]     0     0     0     0     0     0     0     1     1     0     0
  [914]     2     3     3     3     4     3     3     3     2     4     8
  [925]     4     4     4     1     0     1     0     0     2     3     3
  [936]     1     2     3     3     1     1     0     0     0     1     2
  [947]     3     3     2     1     1     1     2     2     2     3     3
  [958]     2     2     4     2     1     1     5     4     2     2     3
  [969]     1     1     2     1     0     1     2     1     0     2     3
  [980]     2     0     2     1     1     1     0     0     0     1     0
  [991]     0     0     0     0     0     0     0     0     0     0     0
 [1002]     0     0     0     0     0     0     0     0     0     2     2
 [1013]     1     0     0     0     1     1     3     2     2     3     2
 [1024]     1     1     1     1     2     3     6     2     2     3     1
 [1035]     1     0     0     2     1     2     1     2     2     0     1
 [1046]     2     3     3     1     0     2     4     2     2     3     6
 [1057]     4     3     3     2     0     0     1     0     4     3     1
 [1068]     0     0     1     1     1     2     1     2     3     2     2
 [1079]     2     1     1     0     1     1     0     2     3     2     0
 [1090]     2     2     0     1     1     0     0     0     0     0     2
 [1101]     1     0     0     0     0     0     0     0     0     0     1
 [1112]     2     1     2     2     1     2     3     3     3     1     1
 [1123]     3     5     1     2     1     5     4     3     1     1     2
 [1134]     3     3     3     2     2     1     1     1     0     2     1
 [1145]     0     0     0     1     1     0     2     2     1     1     1
 [1156]     1     1     2     3     1     2     4     2     0     1     1
 [1167]     1     1     0     4     2     0     2     2     2     2     2
 [1178]     3     2     0     1     0     2     2     2     2     0     0
 [1189]     0     2     2     1     1     0     0     0     0     0     0
 [1200]     0     0     0     0     0     0     0     1     0     0     0
 [1211]     0     0   538   569   591   595   643   641   670   705   714
 [1222]   718   761   754   764   779   731   753   795   825   720   630
 [1233]   635   651   622   657   698   737   738   814   803   839   889
 [1244]   880   888   899   921  1012  1055  1059  1058  1079  1081  1078
 [1255]  1045  1076  1091  1085  1036  1059   962   947   999   978   850
 [1266]   818   705   622   607   527   483   453   464   445   415   393
 [1277]   399   405   379   381   336   345   367   310   323   279   263
 [1288]   248   225   220   187   187   164   133   118   100    98    81
 [1299]    75    61    51    50    35    20    20    19    17     9     7
 [1310]     3     2     4     9   592   587   632   656   680   685   720
 [1321]   712   746   793   810   866   848   809   845   869   858   847
 [1332]   798   727   709   638   615   666   643   659   689   734   756
 [1343]   709   760   745   741   747   765   835   863   867   845   864
 [1354]   921   874   888   907   879   926   878   861   810   815   874
 [1365]   789   765   706   581   533   489   447   457   439   438   398
 [1376]   369   346   331   313   273   272   276   268   267   236   230
 [1387]   198   193   189   175   175   164   120   106    96    76    83
 [1398]    72    57    42    34    37    26    22    22    14    11    10
 [1409]     5     4     3     1     4     1     7     6     6     5     4
 [1420]     8     9     7    11     8    14     8     6    10    11    12
 [1431]     8     9     8     6     6     3     2     4     3     3     3
 [1442]     6     4     3     4     6     4     3     5     6     7     6
 [1453]     3     6     7     4     5     3     5     2     4     5     3
 [1464]     6     4     3     3     3     3     3     3     2     2     1
 [1475]     4     3     1     1     4     2     0     1     1     2     1
 [1486]     2     2     0     0     1     0     1     1     0     0     0
 [1497]     0     0     0     1     0     1     0     0     0     0     0
 [1508]     0     0     0     0     0     0     0     0     7     3     6
 [1519]     4     6     7     9    12     8     8     9    10    15    11
 [1530]     8    11    12     8     7     7     2     2     3     2     1
 [1541]     1     4     5     6     5     5     2     2     3     6     6
 [1552]     3     4     3     3     5     4     3     3     6     5     6
 [1563]     4     3     3     3     3     4     2     1     2     1     2
 [1574]     1     1     2     1     0     0     1     2     3     1     1
 [1585]     2     1     2     1     0     0     0     1     0     0     0
 [1596]     0     0     0     0     0     1     0     0     0     0     0
 [1607]     0     0     0     0     0     0     0     0     0     0    22
 [1618]    24    14    15    21    30    21    19    31    24    20    27
 [1629]    30    28    16    19    20    20    22    14    19    15    15
 [1640]    15    12    11    20    22    17    22    28    30    21    28
 [1651]    40    37    43    47    41    38    40    46    37    33    46
 [1662]    43    34    41    28    33    39    35    35    28    24    20
 [1673]    22    22    23    18    18    15    21    14    14    16    17
 [1684]    11    14    15    12     7    13    12    12     8     7     4
 [1695]     3     3     6     2     4     3     1     0     0     1     2
 [1706]     2     0     0     0     1     0     0     0     0     0     0
 [1717]     1    16    17    21    26    23    25    27    19    18    25
 [1728]    22    26    28    32    30    23    24    31    21    19    17
 [1739]    20    19    13    23    18    15    19    17    15    18    20
 [1750]    19    16    26    29    31    29    37    32    32    36    33
 [1761]    27    34    39    30    34    42    32    28    28    21    22
 [1772]    14    11    11    17    15    14    18    20    17    16     9
 [1783]    10    13    10    10     8     9    10     9    10     4     4
 [1794]     6     4     5     4     3     3     2     3     2     0     1
 [1805]     0     2     1     2     1     0     0     1     0     0     0
 [1816]     0     0     0   501   480   510   562   612   656   681   733
 [1827]   765   826   870   848   823   801   809   801   803   794   729
 [1838]   652   602   497   460   390   403   385   375   406   388   431
 [1849]   419   401   394   388   386   417   399   418   440   459   449
 [1860]   431   392   386   432   450   383   382   360   369   386   344
 [1871]   308   295   261   251   230   200   200   201   203   173   158
 [1882]   158   171   184   159   170   164   185   166   137   148   145
 [1893]   148   133   135   141   127   128   118    84    80    59    65
 [1904]    67    55    35    31    26    13    10    14    11     9     6
 [1915]     4     4     6     4     3   504   518   546   581   628   697
 [1926]   737   790   823   835   852   848   863   879   921   881   870
 [1937]   873   799   699   567   506   425   395   407   399   366   392
 [1948]   361   368   366   364   379   366   392   392   404   431   372
 [1959]   388   423   416   386   375   389   401   413   354   359   374
 [1970]   361   301   295   260   247   234   220   200   193   202   189
 [1981]   169   171   145   144   154   147   148   132   132   146   116
 [1992]    99   116   120   115   118   107   102   101    93    70    60
 [2003]    58    57    47    26    27    24    16    12     9     9     4
 [2014]     5     5     3     3     1     1     1     6     8     8    12
 [2025]    13    12    11    18    14    17    15    13    16    12    11
 [2036]    15    12    16    10    11    10     8     6     7     5     6
 [2047]     5     4     4     4     7     7     5     3     7     6     5
 [2058]     5     5     8     8     5     3     4     5     6     2     5
 [2069]     2     5     4     6     6     3     3     5     2     3     2
 [2080]     3     1     2     2     2     3     2     0     1     2     3
 [2091]     3     2     1     1     2     2     0     0     1     2     1
 [2102]     0     0     0     2     1     0     0     0     2     1     0
 [2113]     1     0     0     0     0     0     0     0     0     4     5
 [2124]     9    13    10    13    13    14    22    19    14    20    12
 [2135]    13    23    15    19    14    17    14    10     7     5     5
 [2146]     5     6     6     6     4     4     4     4     5     3     4
 [2157]     3     6     7     4     5     5     5     7     4     4     6
 [2168]     4     2     2     5     3     5     4     3     3     2     4
 [2179]     3     2     4     2     5     3     3     2     2     2     0
 [2190]     1     0     0     0     1     1     1     1     0     1     0
 [2201]     1     1     1     0     0     1     0     1     0     1     0
 [2212]     0     0     0     0     0     0     0     0     0     0     0
 [2223]     8    13    23    23    23    17    17    18    14    19    19
 [2234]    13    19    21    24    20    21    21    34    34    28    21
 [2245]    40    21    26    18    20    12    13    18    17    18    14
 [2256]    23    20    18    24    17    21    20    19    19    15    14
 [2267]    15    15    15    13    10     8    11    15    14    14    12
 [2278]     7     9     6    11     8     6     6     7     6     4     3
 [2289]     2     5     6     6     5     3     4     3     3     2     1
 [2300]     2     3     3     3     2     1     1     0     1     2     1
 [2311]     0     1     0     0     0     0     0     0     0     0     1
 [2322]     0     0     7    13     9    10    13    16    22    17    12
 [2333]    17    19    20    24    21    23    26    21    22    21    32
 [2344]    22    29    20    20    18    21    20    15    12    19    10
 [2355]    10     8    10     9    10    11    18    14    13    15    15
 [2366]    13     9    12    17    16    12    12     9    13    11    14
 [2377]    11     5     2     3     7     4     6     6     6     4     5
 [2388]     4     4     3     3     3     2     2     2     3     5     4
 [2399]     4     1     1     2     2     1     1     0     0     0     0
 [2410]     1     1     1     1     1     0     0     0     0     0     0
 [2421]     0     0     0     1    15    13    12    17    25    22    19
 [2432]    13    18    20    16    16    23    24    19    21    13    19
 [2443]    20     7     3     3     9     8     7    12    20    15    17
 [2454]    17    21    24    27    21    23    20    19    20    16    18
 [2465]    25    23    25    21    15    22    19    19    18    19    22
 [2476]    19    15    17    18    16    12     9     5     7    13     9
 [2487]     4    11    11    11     8     7     8     4     6     5     5
 [2498]     7     4     3     3     6     5     3     4     3     4     2
 [2509]     1     0     1     2     2     1     0     0     0     1     0
 [2520]     0     0     0     0     1     0    18    17    19    20    23
 [2531]    20    22    22    26    19    20    26    23    15    16    19
 [2542]    19    18    18    13     9    14     9    14    24    24    13
 [2553]    37    24    23    18    15    24    38    20    34    29    27
 [2564]    20    31    34    24    25    28    22    22    27    15    18
 [2575]    24    23    19    31    15    12    14    15    12    11    12
 [2586]    13    14    18     9    12    12     6     8     7     3     5
 [2597]     6     7     7     7     8     3     5     4     4     4     2
 [2608]     2     3     3     3     4     8     4     6     6     3     3
 [2619]     2     2     1     1     0     0     1     0     1     0     0
 [2630]     0     2     1     0     1     1     1     4     3     1     0
 [2641]     2     3     2     2     1     1     1     1     1     0     0
 [2652]     0     0     2     1     1     1     3     2     1     2     2
 [2663]     3     3     2     4     3     3     3     1     2     2     1
 [2674]     5     3     1     2     5     3     1     2     1     2     2
 [2685]     0     2     2     0     0     1     0     0     0     0     0
 [2696]     0     0     0     0     1     0     0     1     0     0     0
 [2707]     0     0     1     0     0     0     0     0     0     1     0
 [2718]     0     0     0     0     0     0     0     0     0     0     3
 [2729]     1     0     0     2     2     1     2     1     2     3     2
 [2740]     2     3     1     0     0     2     2     0     0     1     0
 [2751]     0     0     1     1     1     0     0     1     0     2     3
 [2762]     1     1     0     1     2     2     0     2     2     0     2
 [2773]     3     2     2     3     3     2     1     0     1     2     1
 [2784]     0     0     2     3     1     1     1     0     0     0     0
 [2795]     0     0     1     1     1     0     0     0     0     0     0
 [2806]     0     0     0     0     0     0     0     0     0     0     1
 [2817]     0     0     0     0     0     0     0     0     0     0     0
 [2828]     0   144   145   128   127   153   155   176   175   152   178
 [2839]   189   200   174   167   183   172   170   193   173   154   135
 [2850]   122   125   129   151   142   116   144   153   147   153   161
 [2861]   178   180   196   182   182   191   207   193   190   194   217
 [2872]   213   187   201   192   194   186   183   178   173   155   154
 [2883]   141   117   153   115   102    98    94    80    88    80    87
 [2894]    77    68    77    75    69    74    70    56    66    70    58
 [2905]    55    57    47    39    40    32    26    25    23    20    14
 [2916]    13    10    11     6     4     4     4     3     1     1     1
 [2927]     1     1     2   129   148   216   157   157   161   172   183
 [2938]   245   173   180   191   188   178   194   182   206   200   179
 [2949]   171   153   147   127   144   169   173   169   132   145   156
 [2960]   148   149   152   156   179   167   172   172   162   178   187
 [2971]   185   181   186   173   181   175   159   155   151   149   136
 [2982]   138   130   116   112    89    83    84    79    82    79    78
 [2993]    76    77    66    59    72    59    45    42    48    57    58
 [3004]    46    49    46    38    36    34    33    30    25    24    21
 [3015]    14    11    14    14    12    12    10    10     7     4     7
 [3026]     4     3     2     0     2    23    26    26    19    27    31
 [3037]    21    21    24    35    35    28    29    27    31    34    35
 [3048]    38    31    24    28    31    21    24    25    28    27    24
 [3059]    29    22    21    23    29    28    33    32    28    30    32
 [3070]    30    39    37    23    25    36    29    26    33    29    20
 [3081]    19    19    16    27    25    20    19    14    14    13    19
 [3092]    22    20    19    13    11    11    17    17    17    13    19
 [3103]    20    11     7     5     8    10     9     8     7     7     6
 [3114]     3     6     7     4     3     3     3     2     0     1     0
 [3125]     0     0     0     0     0     0     1    25    24    25    19
 [3136]    24    33    22    24    25    30    29    32    25    29    33
 [3147]    36    28    32    30    24    28    36    23    24    28    24
 [3158]    26    24    26    21    21    23    28    27    27    30    28
 [3169]    30    28    25    29    28    21    25    30    27    26    26
 [3180]    32    22    19    19    16    23    15    18    18    12     6
 [3191]    12    12    11    13    11    12     9     6     5     5    11
 [3202]     7     8     9    10    12     8    13    12     5     3     6
 [3213]     3     5     3     2     4     3     3     3     2     1     0
 [3224]     1     0     0     0     0     0     0     0     1     3     4
 [3235]     1     2     5     2     2     3     3     3     3     3     3
 [3246]     1     1     4     3     7     4     1     1     1     1     2
 [3257]     4     4     2     5     4     3     6     6     3     3     7
 [3268]     4     4     3     3     4     4     3     3     2     5     8
 [3279]     6     6     6     9     9     7     5     9     4     4     4
 [3290]     2     3     4     7     4     1     4     3     5     2     3
 [3301]     1     1     2     2     1     1     1     3     1     4     3
 [3312]     3     1     2     1     0     1     0     1     1     0     0
 [3323]     0     0     0     0     0     0     0     0     0     0     0
 [3334]     3     0     2     2     2     2     4     3     3     2     4
 [3345]     3     3     3     6     5     4     3     5     1     1     1
 [3356]     3     1     2     1     1     2     4     3     3     5     2
 [3367]     2     3     5     2     2     3     3     5     2     2     5
 [3378]     4     3     3     6     4     5     4     4     3     4     4
 [3389]     6     4     3     3     3     1     2     5     1     1     2
 [3400]     1     2     2     1     2     1     2     1     1     1     1
 [3411]     0     1     2     2     0     0     0     0     0     0     1
 [3422]     0     1     0     0     0     0     0     0     0     1     0
 [3433]     0     0     0     2     1     0     2     1     0     0     0
 [3444]     2     2     1     2     4     1     2     3     4     5     3
 [3455]     1     2     3     1     2     1     0     1     2     3     1
 [3466]     1     0     2     3     3     2     2     2     1     6     4
 [3477]     3     2     2     4     2     5     2     0     2     2     1
 [3488]     2     1     1     2     1     2     2     0     2     2     0
 [3499]     0     0     0     2     1     0     0     0     0     0     0
 [3510]     0     0     1     0     0     0     0     1     0     0     0
 [3521]     0     0     0     0     0     0     0     0     0     0     0
 [3532]     0     0     0     0     0     1     1     2     2     2     2
 [3543]     0     1     1     1     1     1     0     0     0     2     1
 [3554]     2     5     8     6     4     3     4     6     7     6     3
 [3565]     3     4     4     3     5     6     3     2     6     7     6
 [3576]     3     3     3     3     3     2     1     2     3     3     2
 [3587]     0     2     3     4     3     1     0     2     2     0     0
 [3598]     1     0     0     1     0     1     0     0     0     0     0
 [3609]     0     1     0     0     0     0     0     0     0     0     0
 [3620]     0     0     0     0     0     0     0     0     0     0     0
 [3631]     0     0     0     0     0     0  5624  5433  5617  5937  6184
 [3642]  6396  6331  6614  6843  6918  6912  7053  6918  6810  6860  7075
 [3653]  7210  7740  8098  8376  8404  8389  8253  8480  8700  9198  9277
 [3664]  9636 10090 10312 10283 10039  9586  9208  9488 10022 10349 10397
 [3675]  9964 10256 10710 10588 10708 10815 10808 10994 10430 10143  9390
 [3686]  9354  9760  9230  8684  8044  6927  6581  6174  5883  5580  5401
 [3697]  5311  4848  4685  4613  4532  4502  4317  4225  3990  4003  4025
 [3708]  3829  3669  3564  3477  3347  3122  2981  2702  2522  2312  1959
 [3719]  1769  1547  1365  1227   995   876   701   595   444   359   292
 [3730]   239   201   142   114    95    64    57   118  5962  5764  6106
 [3741]  6303  6618  6705  6936  7076  7123  7299  7360  7759  7463  7204
 [3752]  7484  7751  7976  8236  8383  8534  8625  8346  8025  8276  8463
 [3763]  8614  8854  9026  9287  9464  9537  9075  8609  8201  8492  8926
 [3774]  9022  9233  8951  8876  9316  9163  9048  9043  9102  9364  8756
 [3785]  8557  8046  7866  8293  7826  7534  7114  6127  5748  5380  5083
 [3796]  4962  4832  4620  4325  4088  3961  3771  3652  3284  3249  3088
 [3807]  3116  3121  2922  2857  2709  2584  2462  2419  2316  2047  1819
 [3818]  1721  1481  1239  1100   922   812   693   581   476   394   294
 [3829]   243   176   138   115    78    57    46    37    24    36    10
 [3840]    15    12     9     8     8     8     7    13     8     6    10
 [3851]    14    20    19    11     8     8     9    10     8     7     6
 [3862]     7    15    11    13    15    16    17    16    22    19    17
 [3873]    14    18    10    11    20    19    22    20    13    11    15
 [3884]    11    12    12    11    18    16    14    15     9     5     8
 [3895]    12    10    10     8     9     7    11     5    10     5     7
 [3906]     3     6    10     8     9     7     4     4     3     9     5
 [3917]     9     5     2     5     3     1     2     3     1     1     1
 [3928]     1     1     0     0     1     0     0     0     0     0     0
 [3939]     1     8     8     5     9    19    10    10     8    13    15
 [3950]     9    10    14    14    12    12    15    15    13    11     8
 [3961]     6     5     5     6     7    13     8     8     9     9    12
 [3972]     9     7    10    12     9     7    14    14     8    19    17
 [3983]    11    11    10    10    13    10    16    13     7     6    10
 [3994]     5     3     6     8    10     6     4     4     6     4    10
 [4005]     7     6     5     3     7     5     4     3     5     3     2
 [4016]     2     6     4     3     3     2     3     2     0     3     3
 [4027]     2     0     1     0     2     1     0     0     0     0     0
 [4038]     0     0     0    45    64    64    45    56    70    61    61
 [4049]    49    62    65    64    52    58    72    66    61    55    60
 [4060]    48    52    44    43    49    63    77    76    98   100    97
 [4071]   113   116   106   108   117   134   118   148   136   140   145
 [4082]   141   131   129   134   119   134   126   123   117   130   104
 [4093]   113    92    79    80    79    72    82    62    52    41    54
 [4104]    45    47    51    53    51    47    43    43    40    35    34
 [4115]    32    28    26    24    18    23    20    19    13    11     7
 [4126]     6     4     6     3     2     2     2     3     3     3     1
 [4137]     3     1     0     0     0    40    66    53    52    53    57
 [4148]    62    64    57    65    59    62    66    66    65    64    77
 [4159]    69    69    47    46    55    50    56    55    73    70    85
 [4170]    95    93    87    93   103   102    97   100    95    93    91
 [4181]   100   105    88    91    90    98    90   101    97    81    75
 [4192]    86    92    76    66    51    53    49    46    47    44    42
 [4203]    41    42    36    40    35    32    27    32    32    22    25
 [4214]    23    26    19    24    24    15    11    11    11     9    10
 [4225]    10     4     9     5     3     4     3     2     0     0     0
 [4236]     1     1     0     0     0     0     0     0     1     2     1
 [4247]     0     0     0     0     2     1     0     1     1     2     3
 [4258]     1     0     0     2     1     1     0     0     1     0     0
 [4269]     0     0     2     1     2     2     0     1     1     1     2
 [4280]     1     2     3     3     3     2     1     1     2     1     1
 [4291]     2     1     0     1     1     1     0     2     3     2     1
 [4302]     2     1     0     0     0     2     1     1     2     1     0
 [4313]     1     1     2     2     0     0     0     0     0     0     1
 [4324]     0     0     1     0     0     0     0     0     0     0     0
 [4335]     0     0     0     0     0     0     0     0     0     0     0
 [4346]     0     0     0     0     0     0     0     2     1     0     1
 [4357]     0     0     0     1     1     2     3     3     1     0     0
 [4368]     1     0     0     2     1     0     1     0     0     0     0
 [4379]     0     3     1     1     0     0     0     2     3     4     2
 [4390]     2     2     1     0     2     3     1     2     2     2     1
 [4401]     2     1     0     0     0     2     1     2     1     0     0
 [4412]     0     0     1     0     0     1     0     0     0     0     0
 [4423]     0     0     0     0     0     0     0     0     0     0     0
 [4434]     0     0     0     0     0     0     0     0     0     0     0
 [4445]     9     4     4     4    10     9     4     5     2     5     7
 [4456]    11    12    11     9    14    15    17    13    11     5     3
 [4467]     4     6     4     4     9     7     6     9    13     9     9
 [4478]    14    12     8     9    11    14    17    18    11    13     9
 [4489]    16    18    19    13    10    16    13    11     9     7    11
 [4500]     7     5     5    10     6     5     3     3     6     7     7
 [4511]    10     6     5     3     3     5     2     2     5     1     0
 [4522]     5     3     0     0     0     1     0     1     0     1     0
 [4533]     1     2     1     0     0     0     0     0     0     0     0
 [4544]     0     0     1     3     7     4     3     4     6     3     2
 [4555]     7     6     9     7     7     7    11    12    13    12     9
 [4566]     7     4     3     5     3     8     4     6     6     5     5
 [4577]     7     4     3     4     6     9     8     9     6     8     5
 [4588]     6     7     8     7    13    12    11     8    10     5     4
 [4599]     3     9     6     4     4     3     2     4     3     3     3
 [4610]     3     3     4     3     5     3     6     4     2     2     1
 [4621]     0     2     2     4     1     1     0     0     1     0     0
 [4632]     0     0     0     0     0     0     0     0     2     2     0
 [4643]     0     0     0     0   110   109   114   137   166   166   176
 [4654]   189   175   201   201   194   203   221   215   214   213   204
 [4665]   169   133   105    91    76    61    58    78    85    87    78
 [4676]    81    80    82    85    93    95    96    86    81    86    93
 [4687]   104    92    85    75    83    94    91    92    85    91    79
 [4698]    69    67    65    64    66    56    39    41    49    43    37
 [4709]    44    41    40    41    35    34    31    28    39    36    24
 [4720]    30    42    30    24    22    16    24    21    17    15    12
 [4731]    11    11     7     6     4     4     4     1     3     3     2
 [4742]     1     2     2     1     1     1   108   135   153   158   171
 [4753]   171   166   173   190   215   224   228   217   236   232   225
 [4764]   227   208   190   138   117   104    84    80    77    77    67
 [4775]    64    88    70    71    84    87    78    86    84    75    71
 [4786]    74    80    88    67    67    70    77    94    75    76    68
 [4797]    74    84    63    63    45    53    52    45    39    45    55
 [4808]    43    35    31    32    28    36    30    29    19    25    20
 [4819]    15    16    21    14    17    22    17    21    14    11    11
 [4830]     8    10     9     7     4     3     4     3     5     2     0
 [4841]     2     2     1     1     0     0     0     0     1     1     0
 [4852]     0     1     1     0     1     0     0     0     0     0     0
 [4863]     1     1     1     0     0     0     0     0     0     0     0
 [4874]     0     0     0     0     0     0     1     0     0     1     1
 [4885]     0     0     0     0     2     1     0     0     1     1     1
 [4896]     2     2     1     1     0     0     0     0     0     1     0
 [4907]     2     1     1     0     0     0     0     1     0     0     1
 [4918]     1     0     1     0     1     0     1     0     1     0     1
 [4929]     0     0     0     0     0     0     0     0     0     0     0
 [4940]     0     0     0     0     0     0     0     0     0     0     0
 [4951]     1     0     0     0     0     0     0     1     0     0     2
 [4962]     1     0     0     0     0     1     0     0     1     0     1
 [4973]     0     0     0     0     0     1     0     0     0     1     0
 [4984]     1     1     0     1     1     1     0     0     1     1     0
 [4995]     0     0     0     0     0     0     0     0     1     0     0
 [5006]     0     1     0     0     0     0     0     2     2     0     0
 [5017]     0     0     0     0     0     0     1     0     1     0     0
 [5028]     0     0     0     1     0     0     0     0     0     0     0
 [5039]     0     0     0     0     0     0     0     0     0     0     0
 [5050]     0     3     2     1     0     2     2     0     0     2     1
 [5061]     0     1     0     2     3     2     0     0     2     3     1
 [5072]     0     1     0     0     1     0     0     1     1     2     5
 [5083]     3     3     2     0     2     2     0     2     3     1     1
 [5094]     1     2     2     1     1     2     3     3     1     0     1
 [5105]     0     1     0     0     0     1     0     1     0     0     0
 [5116]     0     1     0     1     1     1     0     1     0     0     0
 [5127]     0     0     0     0     0     0     0     0     0     0     0
 [5138]     0     0     0     0     0     0     0     0     0     0     0
 [5149]     0     0     0     1     0     0     0     0     2     1     1
 [5160]     2     1     0     1     0     0     0     1     0     0     2
 [5171]     2     2     1     2     2     0     2     3     4     1     1
 [5182]     2     2     1     2     3     2     1     1     2     2     1
 [5193]     0     0     2     1     3     3     4     1     2     3     1
 [5204]     0     1     1     0     1     0     1     0     0     0     0
 [5215]     0     0     2     1     1     1     1     0     1     1     1
 [5226]     0     0     0     0     0     0     0     1     0     0     0
 [5237]     0     0     0     0     0     0     0     0     0     0     0
 [5248]     0     0     0     0     0   102    99   109   112   128   131
 [5259]   137   119   125   138   140   151   137   154   158   148   141
 [5270]   129   136   150   141   132   142   148   139   145   130   156
 [5281]   174   168   184   166   169   180   198   179   181   195   189
 [5292]   203   240   224   211   216   208   238   221   195   166   202
 [5303]   196   196   187   184   160   152   150   137   126   132   134
 [5314]   120   123   127   134   131   134   136   133   147   145   159
 [5325]   156   137   124   110   105    94    80    74    61    49    39
 [5336]    37    34    31    25    15    17    11     8     9     7     4
 [5347]     6     5     3     2     2     2     4   121   110   134   127
 [5358]   141   144   141   137   149   143   156   149   153   139   164
 [5369]   153   152   164   159   149   159   150   151   127   126   153
 [5380]   137   144   161   167   175   150   149   169   173   174   189
 [5391]   192   188   196   212   184   177   173   168   188   174   188
 [5402]   159   146   155   157   154   137   120   116   105    98    81
 [5413]    82    83    81   107    84    85    83    83    74    61    87
 [5424]    80    75    84    74    65    58    53    48    43    43    53
 [5435]    41    30    35    27    21    18    22    23    13    17    13
 [5446]    14    11     9     7     4     2     1     2     3    16    22
 [5457]    16    20    21    17    16    17    16    16    21    29    26
 [5468]    15    24    25    18    27    40    53    49    42    24    23
 [5479]    23    20    18    25    26    29    25    20    25    28    30
 [5490]    20    32    38    28    39    38    27    29    34    45    42
 [5501]    49    47    34    30    34    26    25    30    22    24    20
 [5512]    17    20    21    19    15    17    20    18    24    18    20
 [5523]    13    15    19    16    17    15    12     7     7    10    10
 [5534]     7     8     7     7     4     3     4     3     3     2     2
 [5545]     2     2     1     2     2     1     0     0     0     0     0
 [5556]    19    19    15    14    22    20    25    21    18    23    22
 [5567]    19    25    30    26    32    23    23    33    48    44    46
 [5578]    41    33    31    28    32    22    21    23    24    21    29
 [5589]    23    29    26    33    32    22    20    19    33    33    25
 [5600]    33    30    26    31    32    33    38    24    25    21    19
 [5611]    16    18    18    17    15    22    14    11    17    11    13
 [5622]    15    15    15    10    10    11    12     9     7    12     8
 [5633]     7     4     3     5     5     5     3     4     3     1     1
 [5644]     0     2     3     2     0     1     2     2     0     0     0
 [5655]     0     1     3     2     3     3     5     4     5     8     4
 [5666]     3     7     4     3     4     3     4     7     4     3     4
 [5677]     4     2     1     0     4     5     5     6     7     6     9
 [5688]     6     7     9     5     6     7     8     9    11     9     7
 [5699]    10     9     7    13    11    10    11     8    13     6    10
 [5710]     8     4     5     4     4     4     5     3     3     1     2
 [5721]     3     5     3     3     3     4     3     4     4     4     3
 [5732]     6     5     2     0     1     2     3     1     1     0     0
 [5743]     0     0     0     1     0     0     1     0     0     0     0
 [5754]     1     0     0     0     5     2     3     4     3     6     4
 [5765]     3     5     2     5     8     4     3     3     5     5     5
 [5776]     3     3     3     5     2     2     3     4     6     4     5
 [5787]     3     3     6     4     3     4     2     3     5     6     7
 [5798]     8     7     5     5     4     6     4     5     7     6     5
 [5809]     9     7     3     4     4     4     4     6     5     2     3
 [5820]     4     4     2     1     1     2     3     5     5     1     2
 [5831]     2     1     2     3     3     1     1     2     3     2     0
 [5842]     0     0     0     0     0     0     0     0     0     0     0
 [5853]     0     0     0     0     0     0  2299  2216  2254  2396  2513
 [5864]  2517  2522  2484  2472  2497  2462  2530  2545  2426  2446  2639
 [5875]  2705  2763  3069  3141  3071  3021  2890  2763  3028  3398  3426
 [5886]  3594  3675  3770  3803  3715  3631  3533  3475  3588  3603  3543
 [5897]  3483  3593  3611  3598  3488  3471  3533  3489  3352  3245  3029
 [5908]  3055  3029  2851  2725  2518  2133  2038  1981  1877  1776  1661
 [5919]  1584  1441  1448  1441  1334  1250  1257  1232  1084  1113  1094
 [5930]  1019   907   860   864   796   682   646   569   501   453   405
 [5941]   356   317   274   238   216   197   152   127   104    70    47
 [5952]    36    28    28    20    15     9     5    17  2415  2268  2340
 [5963]  2467  2582  2647  2647  2702  2753  2729  2638  2748  2731  2600
 [5974]  2625  2784  2951  3072  3158  3132  2976  2945  2868  2836  2964
 [5985]  3142  3220  3358  3479  3477  3443  3422  3370  3246  3300  3393
 [5996]  3405  3268  3153  3258  3406  3222  3176  3015  2943  2967  2893
 [6007]  2840  2598  2580  2680  2575  2411  2224  2025  1978  1904  1846
 [6018]  1704  1616  1622  1413  1388  1316  1152  1173  1059  1032   946
 [6029]   896   904   832   738   661   648   563   539   488   427   400
 [6040]   370   320   256   200   175   162   141   100    92    66    52
 [6051]    38    36    29    14    10    10    11     7     3     8    45
 [6062]    48    47    53    56    57    50    50    45    43    64    51
 [6073]    62    63    51    48    50    46    47    34    30    34    30
 [6084]    28    36    42    49    53    54    58    65    75    73    58
 [6095]    57    73    92    85    85    90    95    70    75    98    79
 [6106]    71    71    61    58    65    64    63    57    43    34    46
 [6117]    43    36    29    34    38    26    28    28    33    29    32
 [6128]    34    31    30    24    27    28    24    29    28    20    18
 [6139]    14    11    15     8     8    12    10     4     5     7     5
 [6150]     3     3     2     0     0     0     0     2     2     0     1
 [6161]     0    48    43    48    57    51    53    58    50    49    51
 [6172]    60    56    41    54    51    51    49    41    36    31    30
 [6183]    27    29    25    23    26    37    42    44    42    57    64
 [6194]    54    46    62    77    77    72    67    70    75    59    69
 [6205]    71    73    70    62    57    56    61    51    49    55    43
 [6216]    29    32    35    28    23    20    18    24    24    25    15
 [6227]    18    21    18    16    17    17    14    14    12    20    17
 [6238]    21    19    17    10    11    11    12    10     7    10     5
 [6249]     6     4     3     1     2     2     1     0     1     0     1
 [6260]     0     0     0     0     0     0     0     0     1     0     0
 [6271]     1     1     2     2     0     0     0     1     2     3     1
 [6282]     0     0     2     1     0     2     1     2     2     0     0
 [6293]     0     0     1     1     0     0     1     0     1     1     2
 [6304]     3     1     0     2     3     3     3     2     2     2     1
 [6315]     3     3     3     3     1     1     0     0     1     0     1
 [6326]     0     0     0     1     2     2     1     0     2     1     0
 [6337]     1     1     0     0     1     1     0     0     0     0     0
 [6348]     0     0     0     0     0     0     0     0     0     0     0
 [6359]     0     0     0     0     0     1     0     1     0     0     0
 [6370]     0     0     1     0     0     1     2     1     1     2     3
 [6381]     2     0     0     1     0     1     0     0     0     1     1
 [6392]     1     0     0     2     2     0     0     1     0     1     0
 [6403]     0     0     0     0     0     1     0     0     1     1     2
 [6414]     2     1     1     1     0     1     1     0     0     0     2
 [6425]     3     1     0     0     1     0     1     0     0     1     0
 [6436]     0     1     1     0     0     0     0     0     0     0     0
 [6447]     0     0     0     0     0     0     0     0     0     0     0
 [6458]     0     0     0     0     0     0     1   249   279   294   299
 [6469]   342   355   366   375   425   414   388   429   434   418   446
 [6480]   480   444   467   711   866   752   623   515   403   389   401
 [6491]   383   392   418   410   429   431   445   418   482   510   541
 [6502]   541   535   555   575   600   541   556   552   562   515   524
 [6513]   492   500   482   446   390   376   304   300   263   251   246
 [6524]   234   221   193   201   209   222   209   210   207   172   179
 [6535]   182   167   166   160   147   131   106   117    94    88    77
 [6546]    57    46    46    43    30    28    25    16    14    12    11
 [6557]    11     5     3     5     3     2     0     2     3   282   302
 [6568]   323   335   382   373   376   390   405   421   417   447   453
 [6579]   438   482   497   458   485   625   747   792   650   520   418
 [6590]   400   383   357   332   348   360   386   373   351   337   378
 [6601]   401   393   430   417   481   486   438   414   437   475   428
 [6612]   404   423   376   387   403   364   331   316   274   261   232
 [6623]   212   211   190   171   161   145   137   144   149   137   144
 [6634]   129   122   106    98   102    98    87    78    76    63    56
 [6645]    61    48    35    33    30    27    27    18    15    11    11
 [6656]    11    10     7     7     5     1     3     1     1     1     0
 [6667]   891   874   914   963  1062  1094  1060  1151  1182  1175  1176
 [6678]  1203  1158  1181  1203  1267  1330  1307  1194  1047  1034   976
 [6689]   959  1025  1076  1146  1120  1098  1088  1125  1124  1132  1084
 [6700]  1055  1038  1080  1065  1032   978  1065  1118  1059  1084  1065
 [6711]  1043  1126  1037   990   987   997  1009   939   875   812   701
 [6722]   665   582   527   514   548   533   502   524   502   521   485
 [6733]   464   462   468   498   470   474   452   433   403   375   328
 [6744]   323   294   272   251   198   184   168   143   132   116    89
 [6755]    71    67    50    40    25    21    13    13    15     9     6
 [6766]     5     9   883   959   992  1047  1110  1162  1177  1194  1233
 [6777]  1268  1253  1295  1276  1303  1357  1336  1339  1401  1251  1114
 [6788]  1030   981   959   943  1022  1102  1085  1105  1073  1052  1081
 [6799]  1043   989   966  1048  1027   991   991   982  1006  1007   988
 [6810]   956   936   950   959   884   898   836   872   882   801   744
 [6821]   674   582   541   488   460   421   429   452   412   392   385
 [6832]   364   368   360   360   341   318   325   327   329   308   314
 [6843]   302   274   258   239   219   204   165   125   108   108    92
 [6854]    74    61    47    52    40    26    18    11     8     9     7
 [6865]     3     3     3     8     8     8     7    10    11    11    10
 [6876]     7    10     9     9    10     9     9     7     7    10     7
 [6887]     4     5     5     6     3     5     9     7    10    10    10
 [6898]    16    18    18    12    15    19    12     5    20    19    14
 [6909]    20    16    11     9    16    10     9    11     6     7     9
 [6920]     6     9     8     6     5     6     7     9     6     7     6
 [6931]     5     5     6     6     4     5     7     4     1     2     5
 [6942]     5     5     3     3     3     6     3     1     0     3     3
 [6953]     1     1     0     2     2     0     0     0     1     0     0
 [6964]     0     0     0     0     0     0     8     6    10    12     7
 [6975]     5    10    11     8    13    11     7     6     6     7     8
 [6986]     6    10     5     5     3     5     4     3     9     6     5
 [6997]     7     6     6    11     9     9    13    11    15     9     7
 [7008]    14    12    11    10    10    12    11    11     8     4    10
 [7019]     9     7     8     7     7     6     4     6     7     5     6
 [7030]     8     5     7     6     3     3     3     3     3     1     1
 [7041]     2     3     3     3     1     2     3     3     1     1     0
 [7052]     2     1     2     1     0     0     0     1     0     0     0
 [7063]     1     0     1     0     0     1     0     1   455   447   486
 [7074]   476   543   547   560   574   551   547   577   613   599   572
 [7085]   602   645   689   664   645   584   534   524   525   577   602
 [7096]   655   624   650   710   745   725   703   684   652   753   795
 [7107]   772   753   769   783   822   824   789   765   810   833   790
 [7118]   758   721   750   751   706   601   548   491   457   425   398
 [7129]   380   356   342   307   293   277   292   277   265   238   240
 [7140]   240   225   223   213   189   191   172   148   144   116   107
 [7151]    90    87    69    63    53    46    36    34    31    22    13
 [7162]    11    11    11     8     6     4     1     2     1     3   453
 [7173]   464   510   554   574   603   594   597   585   611   662   660
 [7184]   697   672   691   696   717   724   704   663   626   611   569
 [7195]   548   611   642   588   592   607   642   629   605   610   600
 [7206]   609   635   656   688   639   635   709   693   691   674   657
 [7217]   693   702   664   583   609   624   543   519   515   432   396
 [7228]   382   354   316   301   279   278   257   240   216   195   172
 [7239]   175   163   166   149   120   134   125    99   104    95    83
 [7250]    77    72    77    52    42    41    38    34    25    22    16
 [7261]    15    17    10     7     7     6     2     5     3     2     2
 [7272]     0  1379  1350  1379  1465  1483  1499  1495  1519  1514  1608
 [7283]  1583  1559  1591  1595  1572  1681  1778  1784  2049  2282  2306
 [7294]  2247  2163  2060  2096  2161  2297  2331  2328  2446  2392  2357
 [7305]  2418  2317  2255  2389  2390  2372  2280  2346  2361  2310  2281
 [7316]  2314  2318  2251  2200  2128  1973  1933  1960  1857  1744  1701
 [7327]  1349  1271  1169  1124  1125  1066  1079  1043  1043  1050  1008
 [7338]  1031  1032  1026   917   911   888   848   781   733   677   587
 [7349]   548   501   429   389   359   289   258   216   186   165   133
 [7360]   118    90    65    58    39    32    24    18    14    10    11
 [7371]     6     5    14  1452  1486  1540  1564  1620  1601  1616  1717
 [7382]  1711  1691  1650  1728  1740  1737  1722  1736  1826  1906  2163
 [7393]  2365  2432  2404  2307  2129  2112  2225  2135  2198  2185  2159
 [7404]  2173  2104  2027  2013  2049  2058  2062  2123  2039  1950  1957
 [7415]  1864  1825  1771  1734  1830  1785  1750  1652  1582  1529  1403
 [7426]  1250  1229  1057  1004   940   848   833   846   819   805   751
 [7437]   718   667   673   674   635   577   554   552   503   554   559
 [7448]   495   457   460   385   323   286   247   183   171   132   131
 [7459]   109    93    69    61    49    37    26    29    18    17    10
 [7470]     5     4     7     4     4   949   936   936   950   982  1097
 [7481]  1102  1148  1168  1152  1133  1205  1184  1130  1148  1213  1260
 [7492]  1297  1254  1404  1573  1619  1779  2006  2195  2323  2394  2458
 [7503]  2418  2415  2448  2223  2071  1951  1973  2100  2107  2113  1962
 [7514]  1877  1973  1901  1909  1908  1943  1971  1893  1874  1866  1924
 [7525]  2206  2091  1800  1600  1408  1322  1187  1127  1183  1220  1305
 [7536]  1249  1320  1293  1329  1325  1362  1289  1213  1317  1396  1278
 [7547]  1260  1277  1262  1135   996   913   855   773   718   628   540
 [7558]   487   454   395   343   305   271   221   177   153   122   105
 [7569]    85    65    52    45    31    20    47   981   921   941  1054
 [7580]  1080  1141  1147  1123  1172  1211  1263  1276  1263  1245  1270
 [7591]  1303  1343  1365  1357  1411  1546  1529  1653  1829  2020  2155
 [7602]  2190  2251  2252  2210  2294  2102  1879  1763  1810  1940  1877
 [7613]  1934  1813  1762  1850  1740  1732  1734  1737  1814  1696  1643
 [7624]  1546  1639  1916  1811  1569  1328  1118  1109  1007   937   972
 [7635]   957  1046  1023   998   997  1027  1104  1139  1077   975  1005
 [7646]  1038   955   913   900   876   912   810   821   736   579   538
 [7657]   418   335   305   295   248   203   166   148   141   110    87
 [7668]    70    45    40    23    11    12     8     8    17   432   412
 [7679]   465   506   502   549   592   630   628   673   692   708   689
 [7690]   714   740   742   746   715   670   595   517   457   375   384
 [7701]   408   384   395   411   407   421   426   425   415   405   450
 [7712]   439   456   454   466   502   486   470   479   429   503   500
 [7723]   461   441   418   462   443   417   370   351   313   298   265
 [7734]   271   263   284   242   198   200   203   200   211   204   198
 [7745]   182   201   200   183   174   180   166   163   170   149   132
 [7756]   115   118    95    82    78    61    50    45    36    27    22
 [7767]    19    18    13    15     9     4     7     3     3     3     4
 [7778]   452   437   474   520   580   574   599   624   692   713   669
 [7789]   729   743   742   761   780   801   812   743   621   501   418
 [7800]   372   359   346   361   334   348   358   390   393   376   396
 [7811]   403   428   414   418   465   426   421   436   425   446   457
 [7822]   492   482   460   418   376   393   408   371   339   299   266
 [7833]   260   244   219   218   214   205   216   181   175   170   169
 [7844]   161   143   134   161   156   143   152   155   144   145   120
 [7855]   126   118    95    91    83    76    64    54    50    44    51
 [7866]    40    45    46    27    17    16    13     8     5     2     2
 [7877]     3     9    22    19    21    29    26    21    23    32    25
 [7888]    26    31    33    30    34    41    38    37    34   100   141
 [7899]   124   141    99    83    65    51    40    43    51    54    42
 [7910]    39    45    36    51    47    48    51    53    45    41    49
 [7921]    43    46    53    52    47    63    46    50    43    37    45
 [7932]    43    33    43    36    32    22    25    30    25    20    25
 [7943]    20    22    23    14    18    19    19    23    23    23    17
 [7954]    28    17    11    11    11    11     8     5     3     6     6
 [7965]     6     7     7     5     3     3     3     3     2     1     0
 [7976]     0     0     0     1    21    22    20    21    28    32    25
 [7987]    22    32    33    29    28    32    25    25    31    32    53
 [7998]   147   199   214   183   161   122   115    79    80    73    48
 [8009]    57    63    33    40    29    33    38    41    36    32    43
 [8020]    56    41    35    39    33    36    40    45    27    38    39
 [8031]    38    39    35    24    30    25    22    27    23    18    16
 [8042]    15    25    22    13    11    12    15    11     9     9    10
 [8053]     8    16    13     9    10     8     7     7     8     7     4
 [8064]     4     5     4     5     3     3     5     5     5     2     0
 [8075]     2     1     0     0     0     2   837   817   809   835   786
 [8086]   797   767   798   860   881   848   841   779   815   862   830
 [8097]   845   910   797   803   804   845   923  1043  1102  1245  1278
 [8108]  1338  1431  1457  1517  1501  1471  1369  1401  1445  1513  1478
 [8119]  1415  1423  1409  1366  1325  1317  1359  1387  1251  1220  1184
 [8130]  1207  1298  1253  1159  1050   867   836   777   708   682   654
 [8141]   692   649   617   583   569   545   554   536   488   466   480
 [8152]   450   458   398   389   358   313   281   256   234   224   194
 [8163]   151   146   147   128    91    82    71    57    51    35    25
 [8174]    20    15     9     4     6     7     4    11   871   816   819
 [8185]   811   866   822   809   858   887   934   938   919   911   868
 [8196]   868   854   892   973   930   812   825   869   932   993  1094
 [8207]  1193  1289  1335  1377  1451  1409  1346  1293  1276  1270  1318
 [8218]  1306  1277  1244  1226  1231  1261  1247  1142  1122  1115  1025
 [8229]  1010  1018  1048  1077  1073   948   900   727   662   638   578
 [8240]   580   574   577   522   465   482   452   425   413   406   365
 [8251]   343   356   345   304   256   260   257   240   230   206   165
 [8262]   163   119    94    95    85    72    62    43    35    35    29
 [8273]    20    18    14    13     6     4     8     2     3     4    57
 [8284]    81    84    85    77    84   100    95    77    80    83    80
 [8295]    83    87    98    94    94    94   118   263   346   341   233
 [8306]   157   149   138   154   142   130   146   129   120   134   128
 [8317]   118   131   117   144   129   152   148   140   127   136   133
 [8328]   119   121   125   120   104   114    92   103    97    82    92
 [8339]    74    57    64    63    60    64    67    61    67    59    67
 [8350]    67    66    59    61    59    54    54    53    46    36    35
 [8361]    32    31    22    22    21    20    25    18    14     8     7
 [8372]     5     4     3     5     4     3     1     0     1     1     2
 [8383]     2    62    72    78    82    71    71    84    82    82    78
 [8394]    88    90    79    82   101   101    95   101   140   222   270
 [8405]   286   227   211   176   160   146   150   156   132   125   117
 [8416]   125   121   119   131   124   124   110   112   117   130   119
 [8427]   105   125   142   112    93   100    82    85    96    76    72
 [8438]    65    57    55    49    47    34    43    49    43    39    34
 [8449]    38    37    32    37    33    48    35    35    40    30    33
 [8460]    39    32    27    29    18    14    16    13    11    11     9
 [8471]    13    14    13    10     7     4     3     2     2     2     0
 [8482]     1     0     0  3148  3051  3066  3043  2997  2991  2827  2848
 [8493]  2849  2791  2765  2847  2670  2464  2464  2610  2669  2642  2553
 [8504]  2328  2266  2387  2501  2968  3496  4108  4357  4537  4781  4925
 [8515]  5091  4980  4713  4466  4409  4499  4480  4359  4046  4007  4066
 [8526]  3794  3601  3640  3534  3463  3239  3163  3014  2967  2962  2676
 [8537]  2416  2256  1956  1861  1707  1570  1517  1520  1497  1433  1455
 [8548]  1388  1328  1327  1221  1240  1148  1147  1111  1063   980   939
 [8559]   914   866   789   742   665   612   561   447   392   359   301
 [8570]   263   205   190   159   142    99    73    61    46    37    30
 [8581]    20    17    11    11    24  3400  3189  3172  3212  3241  3146
 [8592]  3008  2980  2991  2938  2962  3000  2870  2699  2662  2763  2804
 [8603]  2840  2725  2556  2507  2504  2546  2871  3655  4270  4649  5046
 [8614]  5157  5158  5415  5171  4892  4665  4730  4940  4844  4645  4307
 [8625]  4171  4161  3831  3735  3560  3386  3245  3057  3029  2789  2762
 [8636]  2742  2594  2293  2085  1866  1765  1647  1528  1445  1368  1388
 [8647]  1289  1236  1128  1139  1048   955   934   860   857   909   852
 [8658]   758   723   703   681   636   574   524   477   472   380   317
 [8669]   278   210   191   150   137   114    88    65    59    46    32
 [8680]    23    21    12    10     8     6     7    37    36    27    38
 [8691]    40    29    38    38    35    37    42    37    29    43    40
 [8702]    38    33    50   118   222   182   134    91    62    66    67
 [8713]    64    77    82    77    72    87    83    75    74    88    89
 [8724]    68    68    80    94    67    73    83    87    82    83    92
 [8735]    75    73    65    63    61    64    49    36    42    38    28
 [8746]    30    33    33    29    28    27    25    30    32    30    31
 [8757]    28    36    31    30    28    30    25    25    22    19    18
 [8768]    15    14    14    15    12    14     8     7     4     3     3
 [8779]     4     3     5     1     1     1     0     0     0    32    29
 [8790]    30    34    36    35    29    34    47    46    41    42    43
 [8801]    47    36    45    53    39   113   201   181   134    95    77
 [8812]    70    70    72    76    64    60    57    57    62    72    69
 [8823]    81    65    65    68    72    69    80    79    61    68    64
 [8834]    65    63    57    71    65    60    54    46    38    36    34
 [8845]    29    32    29    23    32    25    24    17    18    13    17
 [8856]    21    27    23    24    16    11    18    22    21    19    22
 [8867]    14    16    11    13    15     9    10    11     9     7     7
 [8878]     5     6     9     2     2     2     2     2     1     0     0
 [8889]    16    21    20    25    23    27    29    35    41    30    37
 [8900]    40    35    38    49    49    41    45    49    38    31    25
 [8911]    21    13    12    15    15    20    17    18    21    18    16
 [8922]    19    28    25    18    26    27    25    33    25    28    28
 [8933]    27    25    24    21    25    22    21    25    20    20    13
 [8944]    14    12     8    14     9    11     9    11    12     6     6
 [8955]     7     9     9    11     8    10     9     6     5     6     4
 [8966]     3     2     2     5     2     1     2     3     3     2     2
 [8977]     2     1     1     1     0     0     0     0     0     0     0
 [8988]     0     0    16    19    17    26    23    34    34    40    31
 [8999]    33    37    44    47    39    45    57    44    66    54    38
 [9010]    29    22    22    21    25    23    13    14    12    11    11
 [9021]    17    19    18    15    24    18    16    19    25    23    20
 [9032]    24    24    26    25    19    18    12    22    22    15    14
 [9043]    15    10    12    11     8     5     3    11     7     5     7
 [9054]     6     7     4     6     8     5     6     7     8     6     3
 [9065]     6     4     3     3     1     3     4     2     0     0     1
 [9076]     1     2     2     0     0     1     0     0     0     0     0
 [9087]     0     0     0     0     0     0     0     0     0     0     0
 [9098]     0     0     0     0     0     0     0     1     0     0     0
 [9109]     0     0     0     0     0     0     0     0     0     0     0
 [9120]     0     1     0     0     0     0     0     0     0     0     0
 [9131]     0     0     0     2     1     0     0     0     0     0     0
 [9142]     0     0     0     0     0     0     0     0     0     0     0
 [9153]     0     0     0     0     0     0     0     0     0     0     0
 [9164]     0     0     0     0     0     0     0     0     0     0     0
 [9175]     0     0     0     0     0     0     0     0     0     0     0
 [9186]     0     0     0     0     0     0     0     0     0     0     0
 [9197]     0     0     0     0     0     0     0     0     0     0     0
 [9208]     0     0     0     0     0     0     0     0     0     0     0
 [9219]     0     0     0     0     0     0     0     0     0     0     0
 [9230]     0     0     0     0     0     0     0     0     0     0     0
 [9241]     0     0     0     0     0     0     0     0     0     0     0
 [9252]     0     0     0     0     0     0     0     0     0     0     0
 [9263]     1     0     0     0     0     0     0     0     0     0     0
 [9274]     0     0     0     0     0     0     0     0     0     0     0
 [9285]     0     0     0     0     0     0     0     0     4     6     4
 [9296]     4     5     4     4     3     3     8     4     6     7    10
 [9307]     8    10    14    11     8     7     8     5     4     1     2
 [9318]     1     3     3     2     1     0     1     5     4     1     2
 [9329]     6     2     5     4     3     9     8    13     7     4     3
 [9340]     4     5     5     4     5     6     4     3     4     3     3
 [9351]     4     2     2     3     3     2     1     3     1     2     2
 [9362]     0     0     2     3     2     1     0     1     1     2     2
 [9373]     2     1     0     0     0     0     0     0     0     1     0
 [9384]     0     1     0     0     0     0     0     0     0     0     3
 [9395]     4     3     1     1     0     2     3     5     6     6     6
 [9406]     7     7    10    10    11    12     9     4     4     3     1
 [9417]     1     2     1     3     1     1     1     1     1     1     2
 [9428]     3     4     3     3     3     2     3     3     5     6     5
 [9439]     5     5     5     4     6     5     3     4     3     3     3
 [9450]     2     2     3     3     4     1     2     2     0     1     0
 [9461]     0     1     0     1     0     1     0     0     0     1     1
 [9472]     1     0     0     1     1     0     0     0     1     0     0
 [9483]     0     0     0     0     0     0     0     0     0     0     0
 [9494]     0   241   274   288   287   319   326   303   343   333   332
 [9505]   366   385   369   369   407   394   390   423   387   348   328
 [9516]   320   334   334   319   323   313   336   304   345   352   356
 [9527]   368   371   388   381   413   451   434   458   476   491   498
 [9538]   478   505   532   531   546   464   455   453   422   422   404
 [9549]   352   304   273   262   245   245   239   227   220   204   218
 [9560]   218   234   244   222   218   223   207   190   174   166   159
 [9571]   140   126   104   109   107    71    58    48    46    35    33
 [9582]    29    29    20    15    12     8     8     5     4     2     4
 [9593]     1     0     1   242   278   298   320   300   327   327   324
 [9604]   326   369   403   409   413   408   419   426   462   474   388
 [9615]   393   361   347   374   360   345   338   311   312   305   302
 [9626]   329   293   290   314   327   363   361   379   379   348   405
 [9637]   400   380   397   382   424   408   416   432   367   360   359
 [9648]   328   324   281   242   239   204   171   196   188   176   171
 [9659]   152   144   137   124   129   110   103   120   116   123   105
 [9670]    99   100    89    64    66    60    49    41    38    43    27
 [9681]    25    28    17    19    25    15     7     6     9     5     5
 [9692]     3     3     2     2     1    92    81    80    99    91    97
 [9703]    79    97    92    85    84    93   105   105   106   122   108
 [9714]    99   115   136   133   113   108   106   123   115    96   119
 [9725]   126   113   149   133   123   126   127   133   154   154   131
 [9736]   148   150   142   149   149   146   132   138   130   129   121
 [9747]   133   133   118   101    72    91    81    69    68    49    60
 [9758]    59    60    53    42    55    52    46    58    51    54    45
 [9769]    34    38    38    39    34    28    24    30    21    20    15
 [9780]    24    19    15    17     9     6     7     6     7     5     3
 [9791]     2     4     6     4     2     4     4    78    88    89    88
 [9802]    88    96    90    97    99   108    96    90   108    98    96
 [9813]   108   109   116   111   114   105    89    94   106   107   116
 [9824]   113   102   107   101   110   124   121   104    94   108   110
 [9835]   127   106   106   134   110   109   114   117   132   117   104
 [9846]   115   108   100   101   107    95    73    56    67    55    52
 [9857]    51    44    40    40    38    34    41    36    36    33    28
 [9868]    29    25    30    28    24    19    23    19    24    19    17
 [9879]    20    15    15    14     9     7     7     6     5     7     5
 [9890]     3     4     3     2     2     1     1     1     2   124   118
 [9901]   132   131   139   147   156   168   176   202   178   201   213
 [9912]   219   239   220   226   249   227   195   149   142   132   113
 [9923]   117   140   135   135   123   134   133   140   136   128   126
 [9934]   153   158   155   154   170   188   167   156   159   172   161
 [9945]   155   156   136   137   133   125   114    94    78    94    83
 [9956]    81    76    74    67    69    59    63    64    63    51    58
 [9967]    53    58    43    38    44    32    32    26    24    23    25
 [9978]    21    23    21    14    10     8    11    12     7     4     5
 [9989]     8     6     4     3     2     1     2     1     3     3     3
[10000]   134   148   139   156   153   150   165   165   194   195   200
[10011]   215   225   217   246   247   239   239   201   177   154   136
[10022]   140   115   101   115   111   125   126   138   150   141   117
[10033]   105   118   133   136   129   136   144   145   143   146   131
[10044]   139   160   144   127   126   131   119   104   105    89    82
[10055]    80    72    70    69    67    65    57    58    50    48    51
[10066]    42    48    42    39    27    32    36    28    28    30    26
[10077]    21    16    19    17    10     7    13    10    11    11    10
[10088]     6     3     3     4     4     4     3     1     2     0     0
[10099]     2     2    69    70    62    68    77    71    80    83    75
[10110]    67    65    64    63    64    65    84    83    86    72    66
[10121]    78    65    54    67    79    72    75    82    77    67    71
[10132]    58    78    79    80    80    71    66    73    63    58    63
[10143]    58    56    64    78    73    71    58    53    62    55    58
[10154]    51    54    63    49    50    50    42    45    47    48    42
[10165]    35    40    30    33    32    37    36    26    25    21    22
[10176]    24    24    16    11    11    11     7     7     7     6     5
[10187]     3     4     4     2     2     2     2     3     1     0     0
[10198]     1     0     0     1    78    74    77    84    75    74    80
[10209]    70    85    91    86    79    86    89    78    78    81    81
[10220]    84    81    79    72    69    72    66    56    57    68    69
[10231]    69    82    69    72    74    79    84    75    68    69    74
[10242]    75    69    65    73    57    69    61    57    56    60    68
[10253]    59    51    51    49    54    43    38    48    43    44    44
[10264]    43    28    31    35    35    32    31    28    32    28    24
[10275]    32    18    21    21    15     9    11     9     7     9     9
[10286]     7     4     5     6     3     2     3     3     3     3     2
[10297]     0     1     1     0     0     0     2     2     5     3     4
[10308]     6     3     5     4     4     5     5     3     4     4     5
[10319]     6     7     3     2     2     2     2     1     1     2     1
[10330]     4     2     1     0     2     3     4     5     4     5     3
[10341]     3     6     9     4     6     7     5     5     4     5     3
[10352]     2     1     6     3     2     6     2     1     1     3     2
[10363]     1     1     2     4     2     3     1     1     1     0     2
[10374]     2     2     2     0     2     1     0     1     1     1     0
[10385]     0     0     0     0     0     0     0     0     0     0     0
[10396]     0     0     0     0     0     0     0     0     2     4     1
[10407]     2     6     4     1     2     3     3     4     5     2     3
[10418]     3     5     3     3     6     4     3     3     3     4     2
[10429]     2     2     2     3     2     2     4     3     3     6     3
[10440]     2     4     8     3     3     4     5     3     2     9     6
[10451]     3     3     6     4     3     5     3     4     3     1     2
[10462]     1     1     0     0     2     2     0     1     1     2     3
[10473]     1     1     1     0     0     0     0     0     0     1     0
[10484]     0     0     0     0     0     0     0     0     0     0     1
[10495]     0     0     0     0     0     0     0     0     0     0     0
[10506]     0     0     0     2     1     1     2     1     2     1     0
[10517]     1     1     1     1     2     1     1     0     0     0     0
[10528]     0     0     0     0     0     2     1     0     1     0     0
[10539]     0     0     1     0     2     2     2     2     0     1     0
[10550]     2     1     0     2     1     1     1     2     1     0     0
[10561]     1     0     0     0     0     0     0     0     0     0     2
[10572]     2     0     2     1     0     0     0     0     0     0     0
[10583]     0     0     0     0     0     0     0     0     0     0     0
[10594]     0     0     0     0     0     0     0     0     0     0     0
[10605]     0     0     0     0     0     0     0     0     1     0     0
[10616]     0     1     1     2     1     1     1     0     0     1     0
[10627]     0     0     0     0     0     0     0     1     0     0     0
[10638]     0     0     1     0     1     0     0     0     1     0     1
[10649]     0     2     3     1     0     0     0     0     0     0     2
[10660]     1     0     0     0     0     1     0     0     0     1     0
[10671]     0     0     0     0     0     0     0     0     0     0     0
[10682]     0     0     0     0     0     0     0     0     0     0     0
[10693]     0     0     0     0     0     0     0     0     0     0     0
[10704]     0     0     0    64    64    68    75    86    99   112   130
[10715]   117   132   124   133   135   149   163   152   155   148   129
[10726]    99    73    59    70    68    65    54    54    56    60    61
[10737]    68    60    66    75    82    79    76    79    78    94   107
[10748]   102    83    81    92    96    94   106    83    80    93    76
[10759]    64    57    58    57    46    43    43    52    34    34    44
[10770]    45    48    47    32    33    39    38    34    42    37    38
[10781]    43    32    32    31    31    24    28    17    16    13    13
[10792]     8     8     5     7     3     2     3     2     3     2     0
[10803]     0     0     0     0     3    71    80    71    83    90    89
[10814]    87   118   126   108   130   148   145   155   135   141   144
[10825]   139   129   114    93    83    75    56    53    63    49    70
[10836]    65    60    62    47    65    59    59    74    65    61    77
[10847]    59    73    90    88    84    90   100    91    79    77    79
[10858]    79    84    65    73    71    57    47    62    45    48    42
[10869]    36    36    32    27    31    37    36    29    21    25    29
[10880]    33    35    38    32    28    31    31    31    23    11    13
[10891]     9     8    10    11     8    10    12     5    10     5     3
[10902]     2     2     1     0     0     0     0     1     2     3     3
[10913]     2     3     3     3     3     3     2     1     4     3     3
[10924]     1     2     2     1     2     2     1     3     1     2     3
[10935]     2     3     3     2     2     4     3     3     5     3     2
[10946]     5     3     2     3     3     3     5     6     4     2     5
[10957]     7     7     5     3     3     3     3     4     1     2     1
[10968]     5     7     4     3     2     2     3     3     3     2     2
[10979]     3     3     3     2     1     0     0     1     0     0     1
[10990]     0     0     0     0     0     0     0     0     0     0     0
[11001]     0     0     0     0     0     0     0     0     0     3     1
[11012]     2     2     0     2     3     2     2     2     3     2     1
[11023]     0     2     3     1     2     5     3     3     3     5     6
[11034]     5     2     2     3     1     4     4     3     4     5     8
[11045]     4     3     3     2     3     3     4     4     3     3     4
[11056]     1     2     1     2     6     4     3     6     3     1     2
[11067]     3     2     1     0     0     1     0     2     2     1     2
[11078]     3     3     1     3     1     4     1     1     1     0     0
[11089]     0     0     1     0     0     1     0     0     0     0     0
[11100]     0     0     0     0     0     0     0     0     0     0     0
[11111]   187   201   235   250   251   255   257   270   251   252   256
[11122]   272   276   249   306   305   316   314   268   265   251   245
[11133]   221   254   260   274   288   291   304   356   353   350   351
[11144]   390   430   440   441   425   403   456   431   447   429   419
[11155]   458   428   395   429   367   346   406   393   344   312   257
[11166]   252   263   234   213   216   215   184   174   181   180   177
[11177]   181   175   141   153   160   146   152   123   116   111   100
[11188]    82    76    74    74    59    40    37    41    35    32    32
[11199]    20    18    16     9     9    10     9     4     3     3     2
[11210]     0     2   199   239   234   256   261   264   240   275   277
[11221]   291   288   277   290   287   292   314   317   335   309   271
[11232]   253   253   229   249   263   279   257   277   280   293   313
[11243]   299   280   296   325   377   389   395   387   374   374   358
[11254]   344   353   363   354   322   312   325   310   280   279   284
[11265]   260   234   226   201   211   188   171   165   162   160   136
[11276]   137   146   132   121   106   105    92    88    82    91    97
[11287]    71    66    65    59    50    45    47    35    33    24    23
[11298]    17    14    11    10     8     7     6     3     2     2     3
[11309]     2     1     2     3    57    56    56    69    73    71    68
[11320]    70    88    83    80    82    72    67    76    77    80    77
[11331]   585   824   694   805   517   333   204   163   161   138   138
[11342]   122   133   109   106    99   111   111   110   112    93    87
[11353]    87    80    76    78    79    88    79    74    76    72    80
[11364]    64    49    59    48    39    49    46    34    31    34    33
[11375]    34    33    25    28    28    28    30    31    36    23    22
[11386]    19    19    19    18    15    18    15     8     9     7     7
[11397]     6     6     7     5     4     3     5     3     3     2     2
[11408]     3     2     0     1     2     2    66    74    76    80    75
[11419]    85    87    89    96    86    87    82    89    86    88    79
[11430]    77    94   394   629   564   655   466   331   224   173   158
[11441]   136   127   126   117   101   107   107   100   105   107    92
[11452]    87    78    87    84    87    84    62    75    73    59    61
[11463]    60    78    56    57    53    39    37    34    28    33    32
[11474]    25    23    20    35    21    23    17    22    23    23    16
[11485]    15    21    20    20    26    18    15    15    12     8     7
[11496]     7     8     7     3     5     5     3     4     3     4     2
[11507]     1     1     2     1     1     0     0     1    45    37    45
[11518]    43    47    61    60    48    62    57    61    63    75    73
[11529]    79    86    81    70    54    39    35    26    21    21    25
[11540]    24    30    24    29    26    23    32    34    24    32    31
[11551]    22    25    29    31    35    31    31    27    26    23    28
[11562]    23    22    31    19    24    16    19    21    16    13    14
[11573]    14    15    13    10    11     8    16    13    11    11    11
[11584]     9     9     7    11     9     6     9     8     7     7     8
[11595]     7     6     3     6     6     2     3     1     2     2     0
[11606]     0     0     0     1     1     1     0     0     0     0    42
[11617]    39    42    47    51    55    58    71    73    78    71    79
[11628]    82    80    70    73    71    67    64    44    37    35    29
[11639]    28    27    23    30    31    27    33    28    28    25    27
[11650]    27    26    23    28    23    22    29    23    25    12    17
[11661]    28    26    23    19    20    21    14    14    13     8    13
[11672]     9     8     4     8     9     8     5     7     5     6     7
[11683]    10     7     5     5     5     5     3     4     4     6     7
[11694]     8     8     6     1     1     2     2     3     3     3     2
[11705]     0     2     2     0     0     0     1     0     0     0     0
[11716]     0 20879 20424 21044 21920 22760 23283 23081 23810 24116 24522
[11727] 24487 24974 24472 24032 24270 25201 25712 26431 27676 28468 28204
[11738] 27866 26941 27433 28914 30991 31557 32848 33773 34702 35240 34391
[11749] 33247 31967 32535 33984 34562 34400 32974 33583 34468 33497 32984
[11760] 33005 33248 33442 31671 30993 29052 29095 30049 28219 26013 24168
[11771] 20683 19604 18306 17134 16516 16107 15921 14772 14682 14412 14200
[11782] 14065 13672 13386 12497 12694 12682 11964 11415 10928 10644  9918
[11793]  9031  8456  7568  7039  6441  5394  4736  4207  3772  3336  2796
[11804]  2423  1973  1664  1275   991   798   659   529   394   312   253
[11815]   183   152   319 21965 21547 22375 23288 24163 24484 24758 25155
[11826] 25741 26023 26057 26970 26475 25668 26243 26928 27556 28297 28794
[11837] 29039 28815 27921 26694 26954 28316 29884 30431 31665 32257 32538
[11848] 33138 31775 30424 29351 30192 31676 31631 31702 30223 29961 31174
[11859] 29936 29374 28750 28526 29088 27480 26698 25143 24945 25895 24276
[11870] 22609 20899 18138 17135 16007 14971 14379 14048 13892 12954 12367
[11881] 11824 11263 11156 10405 10152  9464  9393  9444  8778  8493  8100
[11892]  7697  7437  7054  6592  5887  5160  4869  3989  3331  2985  2557
[11903]  2233  1881  1591  1355  1160   918   717   574   427   338   236
[11914]   164   133    96    76   124

#This R script has combined two vectors, which combined two variables into one. 

#5 Shorten selected ethnic labels
names(calpop)[c(6, 9, 10)] = c("Latino", "AfrAmer", "AmerInd")

#This R script has renamed the labels for race/ethnicity by shortening the names.

#6 Index Bay Area Counties
baindex <- calpop$County=="Alameda" | calpop$County=="San Francisco"
bapop <- calpop[baindex,]
bapop
            County Year Sex Age White Latino Asian Pacific.Islander
1          Alameda 2000   F   0  2751   2910  1921               63
2          Alameda 2000   F   1  2673   2837  1820               70
3          Alameda 2000   F   2  2654   2770  1930               64
4          Alameda 2000   F   3  2646   2798  1998               64
5          Alameda 2000   F   4  2780   2762  2029               85
6          Alameda 2000   F   5  2826   2738  1998               93
7          Alameda 2000   F   6  2871   2872  1984               78
8          Alameda 2000   F   7  2942   2837  1993               94
9          Alameda 2000   F   8  3087   2756  1957               85
10         Alameda 2000   F   9  3070   2603  2031               83
11         Alameda 2000   F  10  3076   2465  1967               89
12         Alameda 2000   F  11  3056   2315  1945               77
13         Alameda 2000   F  12  3167   2236  1897               71
14         Alameda 2000   F  13  3077   2168  1862               78
15         Alameda 2000   F  14  2979   2094  1736               82
16         Alameda 2000   F  15  3027   2023  1855               93
17         Alameda 2000   F  16  2972   1987  1869               79
18         Alameda 2000   F  17  2880   2045  1896               69
19         Alameda 2000   F  18  2787   2210  2056               93
20         Alameda 2000   F  19  2839   2312  2307               92
21         Alameda 2000   F  20  2870   2371  2522               86
22         Alameda 2000   F  21  2869   2417  2526               92
23         Alameda 2000   F  22  3079   2581  2399               86
24         Alameda 2000   F  23  3260   2629  2432               83
25         Alameda 2000   F  24  3430   2675  2573               77
26         Alameda 2000   F  25  3694   2771  2731               73
27         Alameda 2000   F  26  3701   2748  2790               74
28         Alameda 2000   F  27  3874   2861  2966               88
29         Alameda 2000   F  28  4037   2837  3022               76
30         Alameda 2000   F  29  4449   2734  3125               87
31         Alameda 2000   F  30  4978   2680  3324               86
32         Alameda 2000   F  31  4792   2540  3251               85
33         Alameda 2000   F  32  4521   2493  3062              101
34         Alameda 2000   F  33  4462   2383  2887               82
35         Alameda 2000   F  34  4612   2341  2916               73
36         Alameda 2000   F  35  5100   2362  3077               90
37         Alameda 2000   F  36  5252   2295  3195               92
38         Alameda 2000   F  37  5183   2172  3145               91
39         Alameda 2000   F  38  5330   2154  2923               90
40         Alameda 2000   F  39  5484   1961  2815               95
41         Alameda 2000   F  40  5586   1934  2847               99
42         Alameda 2000   F  41  5453   1790  2645               92
43         Alameda 2000   F  42  5460   1697  2607               83
44         Alameda 2000   F  43  5456   1569  2538               70
45         Alameda 2000   F  44  5394   1558  2484               70
46         Alameda 2000   F  45  5445   1532  2485               62
47         Alameda 2000   F  46  5328   1423  2337               68
48         Alameda 2000   F  47  5310   1306  2266               64
49         Alameda 2000   F  48  5204   1197  2190               51
50         Alameda 2000   F  49  5179   1181  2174               54
51         Alameda 2000   F  50  5274   1179  2246               69
52         Alameda 2000   F  51  5099   1126  2085               58
53         Alameda 2000   F  52  5206   1089  1870               43
54         Alameda 2000   F  53  5387   1001  1721               36
55         Alameda 2000   F  54  4387    884  1479               35
56         Alameda 2000   F  55  4132    841  1363               30
57         Alameda 2000   F  56  3921    759  1284               28
58         Alameda 2000   F  57  3776    755  1202               25
59         Alameda 2000   F  58  3308    668  1166               20
60         Alameda 2000   F  59  2915    659  1144               25
61         Alameda 2000   F  60  2775    694  1103               29
62         Alameda 2000   F  61  2658    603  1065               25
63         Alameda 2000   F  62  2464    573  1082               26
64         Alameda 2000   F  63  2274    558  1099               24
65         Alameda 2000   F  64  2163    506  1079               24
66         Alameda 2000   F  65  2219    505  1106               24
67         Alameda 2000   F  66  2075    445  1065               26
68         Alameda 2000   F  67  2016    462   986               18
69         Alameda 2000   F  68  1994    468   958               21
70         Alameda 2000   F  69  1984    459   949               15
71         Alameda 2000   F  70  2154    465   943               12
72         Alameda 2000   F  71  2074    396   888               13
73         Alameda 2000   F  72  2046    392   841               18
74         Alameda 2000   F  73  2160    397   815               15
75         Alameda 2000   F  74  2307    368   824               12
76         Alameda 2000   F  75  2301    336   767               11
77         Alameda 2000   F  76  2272    317   715               13
78         Alameda 2000   F  77  2209    302   615                8
79         Alameda 2000   F  78  2246    276   539                4
80         Alameda 2000   F  79  2127    248   533                5
81         Alameda 2000   F  80  1980    216   455                6
82         Alameda 2000   F  81  1800    201   393                7
83         Alameda 2000   F  82  1679    178   347                9
84         Alameda 2000   F  83  1542    158   307                4
85         Alameda 2000   F  84  1445    143   281                3
86         Alameda 2000   F  85  1355    127   262                2
87         Alameda 2000   F  86  1294    108   234                2
88         Alameda 2000   F  87  1113    110   188                3
89         Alameda 2000   F  88   990     98   145                2
90         Alameda 2000   F  89   861     68   130                2
91         Alameda 2000   F  90   717     65   102                3
92         Alameda 2000   F  91   580     52    78                2
93         Alameda 2000   F  92   503     39    56                1
94         Alameda 2000   F  93   438     43    46                0
95         Alameda 2000   F  94   360     24    36                0
96         Alameda 2000   F  95   254     21    34                0
97         Alameda 2000   F  96   208     12    24                0
98         Alameda 2000   F  97   146     13    18                0
99         Alameda 2000   F  98    88     15    21                0
100        Alameda 2000   F  99    87     10    14                1
101        Alameda 2000   F 100   138     11    27                0
102        Alameda 2000   M   0  2905   3025  2033               57
103        Alameda 2000   M   1  2788   2983  1985               76
104        Alameda 2000   M   2  2793   2913  2007               82
105        Alameda 2000   M   3  2841   2896  2132               77
106        Alameda 2000   M   4  2914   2877  2141               75
107        Alameda 2000   M   5  3082   2971  2178               95
108        Alameda 2000   M   6  3068   2904  2214               87
109        Alameda 2000   M   7  3113   2934  2128               82
110        Alameda 2000   M   8  3228   2801  2177               88
111        Alameda 2000   M   9  3282   2748  2108               81
112        Alameda 2000   M  10  3287   2669  2052               76
113        Alameda 2000   M  11  3214   2445  2110               89
114        Alameda 2000   M  12  3212   2398  2002               90
115        Alameda 2000   M  13  3174   2223  1876               86
116        Alameda 2000   M  14  3211   2168  1882               95
117        Alameda 2000   M  15  3120   2194  1963               79
118        Alameda 2000   M  16  3044   2244  1970               89
119        Alameda 2000   M  17  3125   2365  1947               76
120        Alameda 2000   M  18  3014   2559  2038               84
121        Alameda 2000   M  19  3031   2780  2322               93
122        Alameda 2000   M  20  3163   3058  2539               91
123        Alameda 2000   M  21  3075   3086  2454               84
124        Alameda 2000   M  22  3179   3161  2233               81
125        Alameda 2000   M  23  3261   3120  2266               70
126        Alameda 2000   M  24  3458   3257  2297               73
127        Alameda 2000   M  25  3752   3349  2494               70
128        Alameda 2000   M  26  3715   3352  2566               75
129        Alameda 2000   M  27  3910   3374  2811               82
130        Alameda 2000   M  28  4100   3351  2897               74
131        Alameda 2000   M  29  4555   3481  2988               82
132        Alameda 2000   M  30  5165   3412  3078               84
133        Alameda 2000   M  31  4873   3032  2995               85
134        Alameda 2000   M  32  4627   2944  2827               75
135        Alameda 2000   M  33  4641   2817  2701               78
136        Alameda 2000   M  34  4823   2802  2749               84
137        Alameda 2000   M  35  5355   2815  3011               86
138        Alameda 2000   M  36  5464   2561  3048              104
139        Alameda 2000   M  37  5444   2384  3001               95
140        Alameda 2000   M  38  5550   2306  2722               90
141        Alameda 2000   M  39  5580   2104  2611               84
142        Alameda 2000   M  40  5856   2175  2779               98
143        Alameda 2000   M  41  5537   1984  2652               90
144        Alameda 2000   M  42  5635   1843  2509               84
145        Alameda 2000   M  43  5492   1777  2412               69
146        Alameda 2000   M  44  5535   1688  2351               74
147        Alameda 2000   M  45  5520   1630  2381               72
148        Alameda 2000   M  46  5316   1416  2226               63
149        Alameda 2000   M  47  5327   1276  2044               56
150        Alameda 2000   M  48  5207   1235  1993               55
151        Alameda 2000   M  49  4939   1140  1929               58
152        Alameda 2000   M  50  5217   1163  2032               56
153        Alameda 2000   M  51  5066   1036  1870               59
154        Alameda 2000   M  52  5127    998  1744               53
155        Alameda 2000   M  53  5282    914  1525               49
156        Alameda 2000   M  54  4377    799  1346               40
157        Alameda 2000   M  55  4066    797  1256               36
158        Alameda 2000   M  56  3884    720  1154               41
159        Alameda 2000   M  57  3892    657  1054               30
160        Alameda 2000   M  58  3334    625   949               21
161        Alameda 2000   M  59  2890    558   980               25
162        Alameda 2000   M  60  2754    554  1023               23
163        Alameda 2000   M  61  2573    521   926               26
164        Alameda 2000   M  62  2403    457   904               25
165        Alameda 2000   M  63  2152    457   863               15
166        Alameda 2000   M  64  2006    449   823               16
167        Alameda 2000   M  65  1985    426   854               22
168        Alameda 2000   M  66  1851    385   829               18
169        Alameda 2000   M  67  1813    366   782               17
170        Alameda 2000   M  68  1786    362   754               20
171        Alameda 2000   M  69  1735    361   751               15
172        Alameda 2000   M  70  1749    333   733               12
173        Alameda 2000   M  71  1672    333   672               17
174        Alameda 2000   M  72  1648    311   634               10
175        Alameda 2000   M  73  1655    278   619                7
176        Alameda 2000   M  74  1618    252   561                4
177        Alameda 2000   M  75  1599    268   578                8
178        Alameda 2000   M  76  1577    254   528                7
179        Alameda 2000   M  77  1498    200   476                4
180        Alameda 2000   M  78  1526    191   408                3
181        Alameda 2000   M  79  1384    194   361                3
182        Alameda 2000   M  80  1256    147   368                3
183        Alameda 2000   M  81  1118    118   274                2
184        Alameda 2000   M  82  1002     98   232                2
185        Alameda 2000   M  83   884     82   218                5
186        Alameda 2000   M  84   810     75   174                3
187        Alameda 2000   M  85   777     62   139                4
188        Alameda 2000   M  86   659     58   138                2
189        Alameda 2000   M  87   513     54   119                1
190        Alameda 2000   M  88   411     52   105                1
191        Alameda 2000   M  89   342     36    88                2
192        Alameda 2000   M  90   280     29    64                1
193        Alameda 2000   M  91   231     29    43                0
194        Alameda 2000   M  92   165     23    48                0
195        Alameda 2000   M  93   125     10    36                1
196        Alameda 2000   M  94   107     10    22                0
197        Alameda 2000   M  95    73      7    13                0
198        Alameda 2000   M  96    49      3    10                1
199        Alameda 2000   M  97    32      3    10                0
200        Alameda 2000   M  98    20      3     7                0
201        Alameda 2000   M  99    17      2     4                0
202        Alameda 2000   M 100    27      1     8                0
7475 San Francisco 2000   F   0  1248    782   949               26
7476 San Francisco 2000   F   1  1012    693   936               22
7477 San Francisco 2000   F   2   784    667   936               22
7478 San Francisco 2000   F   3   731    694   950               29
7479 San Francisco 2000   F   4   660    656   982               35
7480 San Francisco 2000   F   5   622    669  1097               30
7481 San Francisco 2000   F   6   582    659  1102               35
7482 San Francisco 2000   F   7   602    675  1148               25
7483 San Francisco 2000   F   8   616    677  1168               22
7484 San Francisco 2000   F   9   608    671  1152               38
7485 San Francisco 2000   F  10   651    654  1133               36
7486 San Francisco 2000   F  11   639    592  1205               31
7487 San Francisco 2000   F  12   623    616  1184               25
7488 San Francisco 2000   F  13   651    612  1130               26
7489 San Francisco 2000   F  14   626    572  1148               33
7490 San Francisco 2000   F  15   633    588  1213               28
7491 San Francisco 2000   F  16   621    600  1260               30
7492 San Francisco 2000   F  17   617    631  1297               37
7493 San Francisco 2000   F  18   822    738  1254               42
7494 San Francisco 2000   F  19  1007    805  1404               45
7495 San Francisco 2000   F  20  1157    857  1573               39
7496 San Francisco 2000   F  21  1336    865  1619               40
7497 San Francisco 2000   F  22  2114    943  1779               40
7498 San Francisco 2000   F  23  3278   1032  2006               31
7499 San Francisco 2000   F  24  3993   1125  2195               31
7500 San Francisco 2000   F  25  4590   1202  2323               40
7501 San Francisco 2000   F  26  4747   1185  2394               40
7502 San Francisco 2000   F  27  4872   1170  2458               41
7503 San Francisco 2000   F  28  5259   1166  2418               37
7504 San Francisco 2000   F  29  5721   1198  2415               39
7505 San Francisco 2000   F  30  6054   1230  2448               42
7506 San Francisco 2000   F  31  5140   1067  2223               40
7507 San Francisco 2000   F  32  4370   1017  2071               41
7508 San Francisco 2000   F  33  3934    930  1951               30
7509 San Francisco 2000   F  34  3622    890  1973               35
7510 San Francisco 2000   F  35  3577    891  2100               34
7511 San Francisco 2000   F  36  3136    858  2107               31
7512 San Francisco 2000   F  37  2739    782  2113               33
7513 San Francisco 2000   F  38  2560    758  1962               26
7514 San Francisco 2000   F  39  2457    711  1877               32
7515 San Francisco 2000   F  40  2524    748  1973               32
7516 San Francisco 2000   F  41  2230    761  1901               31
7517 San Francisco 2000   F  42  2112    713  1909               20
7518 San Francisco 2000   F  43  2123    676  1908               19
7519 San Francisco 2000   F  44  2121    683  1943               16
7520 San Francisco 2000   F  45  2219    709  1971               23
7521 San Francisco 2000   F  46  2111    619  1893               17
7522 San Francisco 2000   F  47  2223    589  1874               15
7523 San Francisco 2000   F  48  2222    553  1866               18
7524 San Francisco 2000   F  49  2188    528  1924               19
7525 San Francisco 2000   F  50  2327    574  2206               25
7526 San Francisco 2000   F  51  2212    530  2091               15
7527 San Francisco 2000   F  52  2284    472  1800               17
7528 San Francisco 2000   F  53  2341    441  1600               20
7529 San Francisco 2000   F  54  1914    441  1408               19
7530 San Francisco 2000   F  55  1793    420  1322               14
7531 San Francisco 2000   F  56  1695    381  1187               11
7532 San Francisco 2000   F  57  1619    379  1127               10
7533 San Francisco 2000   F  58  1413    385  1183               13
7534 San Francisco 2000   F  59  1277    365  1220               15
7535 San Francisco 2000   F  60  1265    373  1305               10
7536 San Francisco 2000   F  61  1213    368  1249               11
7537 San Francisco 2000   F  62  1164    353  1320               11
7538 San Francisco 2000   F  63  1098    356  1293               15
7539 San Francisco 2000   F  64  1039    348  1329               12
7540 San Francisco 2000   F  65   979    348  1325               10
7541 San Francisco 2000   F  66   932    339  1362                4
7542 San Francisco 2000   F  67   937    309  1289                5
7543 San Francisco 2000   F  68   958    298  1213                9
7544 San Francisco 2000   F  69  1016    335  1317                9
7545 San Francisco 2000   F  70  1087    320  1396               10
7546 San Francisco 2000   F  71  1081    303  1278                8
7547 San Francisco 2000   F  72  1129    281  1260                8
7548 San Francisco 2000   F  73  1138    254  1277                8
7549 San Francisco 2000   F  74  1208    260  1262                5
7550 San Francisco 2000   F  75  1257    245  1135                3
7551 San Francisco 2000   F  76  1261    223   996                4
7552 San Francisco 2000   F  77  1265    242   913                6
7553 San Francisco 2000   F  78  1198    232   855                3
7554 San Francisco 2000   F  79  1168    193   773                3
7555 San Francisco 2000   F  80  1091    211   718                2
7556 San Francisco 2000   F  81   995    156   628                2
7557 San Francisco 2000   F  82   925    145   540                5
7558 San Francisco 2000   F  83   882    139   487                3
7559 San Francisco 2000   F  84   839    126   454                3
7560 San Francisco 2000   F  85   870    137   395                3
7561 San Francisco 2000   F  86   815    120   343                1
7562 San Francisco 2000   F  87   748    118   305                1
7563 San Francisco 2000   F  88   644     85   271                2
7564 San Francisco 2000   F  89   548     65   221                3
7565 San Francisco 2000   F  90   475     58   177                1
7566 San Francisco 2000   F  91   408     48   153                2
7567 San Francisco 2000   F  92   310     39   122                4
7568 San Francisco 2000   F  93   278     36   105                1
7569 San Francisco 2000   F  94   215     31    85                0
7570 San Francisco 2000   F  95   151     23    65                0
7571 San Francisco 2000   F  96   106     14    52                0
7572 San Francisco 2000   F  97    86     10    45                0
7573 San Francisco 2000   F  98    67      9    31                0
7574 San Francisco 2000   F  99    50     10    20                0
7575 San Francisco 2000   F 100    98     11    47                1
7576 San Francisco 2000   M   0  1245    850   981               29
7577 San Francisco 2000   M   1  1043    749   921               27
7578 San Francisco 2000   M   2   876    723   941               24
7579 San Francisco 2000   M   3   790    721  1054               31
7580 San Francisco 2000   M   4   732    696  1080               31
7581 San Francisco 2000   M   5   708    713  1141               35
7582 San Francisco 2000   M   6   683    732  1147               38
7583 San Francisco 2000   M   7   627    713  1123               40
7584 San Francisco 2000   M   8   661    688  1172               34
7585 San Francisco 2000   M   9   633    696  1211               29
7586 San Francisco 2000   M  10   669    692  1263               39
7587 San Francisco 2000   M  11   671    644  1276               41
7588 San Francisco 2000   M  12   648    651  1263               37
7589 San Francisco 2000   M  13   616    591  1245               29
7590 San Francisco 2000   M  14   654    585  1270               33
7591 San Francisco 2000   M  15   653    624  1303               34
7592 San Francisco 2000   M  16   653    670  1343               45
7593 San Francisco 2000   M  17   686    778  1365               37
7594 San Francisco 2000   M  18   765    902  1357               32
7595 San Francisco 2000   M  19   868   1062  1411               29
7596 San Francisco 2000   M  20  1076   1190  1546               26
7597 San Francisco 2000   M  21  1247   1189  1529               21
7598 San Francisco 2000   M  22  1749   1308  1653               25
7599 San Francisco 2000   M  23  2783   1351  1829               41
7600 San Francisco 2000   M  24  3630   1378  2020               35
7601 San Francisco 2000   M  25  4593   1575  2155               39
7602 San Francisco 2000   M  26  4913   1529  2190               28
7603 San Francisco 2000   M  27  5117   1554  2251               25
7604 San Francisco 2000   M  28  5729   1602  2252               31
7605 San Francisco 2000   M  29  6456   1613  2210               32
7606 San Francisco 2000   M  30  7205   1767  2294               38
7607 San Francisco 2000   M  31  6476   1533  2102               29
7608 San Francisco 2000   M  32  5829   1412  1879               31
7609 San Francisco 2000   M  33  5315   1285  1763               31
7610 San Francisco 2000   M  34  5116   1369  1810               30
7611 San Francisco 2000   M  35  5331   1332  1940               37
7612 San Francisco 2000   M  36  4780   1244  1877               35
7613 San Francisco 2000   M  37  4246   1056  1934               36
7614 San Francisco 2000   M  38  4045    994  1813               38
7615 San Francisco 2000   M  39  3703    990  1762               36
7616 San Francisco 2000   M  40  3803   1005  1850               41
7617 San Francisco 2000   M  41  3307    914  1740               26
7618 San Francisco 2000   M  42  3229    858  1732               25
7619 San Francisco 2000   M  43  3156    825  1734               24
7620 San Francisco 2000   M  44  2964    732  1737               17
7621 San Francisco 2000   M  45  3117    756  1814               19
7622 San Francisco 2000   M  46  2914    689  1696               18
7623 San Francisco 2000   M  47  2830    657  1643               19
7624 San Francisco 2000   M  48  2846    617  1546               18
7625 San Francisco 2000   M  49  2840    603  1639               15
7626 San Francisco 2000   M  50  2974    590  1916               22
7627 San Francisco 2000   M  51  2702    490  1811               14
7628 San Francisco 2000   M  52  2697    481  1569               14
7629 San Francisco 2000   M  53  2732    450  1328               13
7630 San Francisco 2000   M  54  2334    402  1118               10
7631 San Francisco 2000   M  55  2199    370  1109                6
7632 San Francisco 2000   M  56  1999    353  1007               10
7633 San Francisco 2000   M  57  1849    316   937               15
7634 San Francisco 2000   M  58  1608    286   972                9
7635 San Francisco 2000   M  59  1496    307   957               10
7636 San Francisco 2000   M  60  1478    302  1046               10
7637 San Francisco 2000   M  61  1392    275  1023                6
7638 San Francisco 2000   M  62  1325    260   998                3
7639 San Francisco 2000   M  63  1234    230   997                9
7640 San Francisco 2000   M  64  1128    240  1027               11
7641 San Francisco 2000   M  65  1133    256  1104               10
7642 San Francisco 2000   M  66  1035    237  1139               10
7643 San Francisco 2000   M  67   988    205  1077               10
7644 San Francisco 2000   M  68   967    196   975                4
7645 San Francisco 2000   M  69  1044    226  1005                7
7646 San Francisco 2000   M  70  1086    228  1038                8
7647 San Francisco 2000   M  71  1015    207   955               10
7648 San Francisco 2000   M  72   992    194   913                9
7649 San Francisco 2000   M  73   972    182   900                6
7650 San Francisco 2000   M  74   935    177   876                6
7651 San Francisco 2000   M  75  1000    164   912                6
7652 San Francisco 2000   M  76   962    149   810                5
7653 San Francisco 2000   M  77   836    133   821                5
7654 San Francisco 2000   M  78   825    124   736                3
7655 San Francisco 2000   M  79   794     99   579                3
7656 San Francisco 2000   M  80   741     96   538                1
7657 San Francisco 2000   M  81   648     81   418                2
7658 San Francisco 2000   M  82   578     83   335                3
7659 San Francisco 2000   M  83   524     45   305                3
7660 San Francisco 2000   M  84   518     45   295                1
7661 San Francisco 2000   M  85   462     50   248                1
7662 San Francisco 2000   M  86   387     48   203                2
7663 San Francisco 2000   M  87   346     35   166                3
7664 San Francisco 2000   M  88   293     30   148                1
7665 San Francisco 2000   M  89   238     30   141                0
7666 San Francisco 2000   M  90   187     29   110                0
7667 San Francisco 2000   M  91   145     15    87                0
7668 San Francisco 2000   M  92   117     15    70                0
7669 San Francisco 2000   M  93    86     10    45                0
7670 San Francisco 2000   M  94    60      8    40                1
7671 San Francisco 2000   M  95    49      7    23                0
7672 San Francisco 2000   M  96    31      9    11                0
7673 San Francisco 2000   M  97    22      5    12                1
7674 San Francisco 2000   M  98    13      2     8                1
7675 San Francisco 2000   M  99    15      0     8                0
7676 San Francisco 2000   M 100    28      8    17                0
     AfrAmer AmerInd Multirace   Agecat AsianPI
1       1346      32       711   [0,20)    1984
2       1343      37       574   [0,20)    1890
3       1442      37       579   [0,20)    1994
4       1455      39       588   [0,20)    2062
5       1558      38       575   [0,20)    2114
6       1632      45       576   [0,20)    2091
7       1657      53       548   [0,20)    2062
8       1732      51       514   [0,20)    2087
9       1817      43       545   [0,20)    2042
10      1819      44       537   [0,20)    2114
11      1820      39       524   [0,20)    2056
12      1802      40       489   [0,20)    2022
13      1762      47       475   [0,20)    1968
14      1570      40       463   [0,20)    1940
15      1573      37       433   [0,20)    1818
16      1524      47       431   [0,20)    1948
17      1543      51       402   [0,20)    1948
18      1552      33       384   [0,20)    1965
19      1442      45       388   [0,20)    2149
20      1376      41       384   [0,20)    2399
21      1469      49       361  [20,45)    2608
22      1462      51       357  [20,45)    2618
23      1445      45       350  [20,45)    2485
24      1490      50       356  [20,45)    2515
25      1540      42       356  [20,45)    2650
26      1597      48       328  [20,45)    2804
27      1636      48       318  [20,45)    2864
28      1696      48       318  [20,45)    3054
29      1773      64       320  [20,45)    3098
30      1915      66       333  [20,45)    3212
31      2097      59       338  [20,45)    3410
32      1847      51       308  [20,45)    3336
33      1667      49       293  [20,45)    3163
34      1719      47       281  [20,45)    2969
35      1877      60       280  [20,45)    2989
36      2110      67       313  [20,45)    3167
37      2030      75       288  [20,45)    3287
38      1909      71       272  [20,45)    3236
39      1922      54       277  [20,45)    3013
40      1924      61       295  [20,45)    2910
41      2044      68       285  [20,45)    2946
42      1872      60       273  [20,45)    2737
43      1885      51       265  [20,45)    2690
44      1754      54       254  [20,45)    2608
45      1757      63       239  [20,45)    2554
46      1835      60       233  [45,65)    2547
47      1676      59       219  [45,65)    2405
48      1765      55       227  [45,65)    2330
49      1679      60       199  [45,65)    2241
50      1629      55       182  [45,65)    2228
51      1728      46       199  [45,65)    2315
52      1597      64       178  [45,65)    2143
53      1508      53       172  [45,65)    1913
54      1433      52       166  [45,65)    1757
55      1186      46       146  [45,65)    1514
56      1164      40       133  [45,65)    1393
57      1059      34       127  [45,65)    1312
58       987      26       124  [45,65)    1227
59       973      30       106  [45,65)    1186
60       918      36        91  [45,65)    1169
61       884      32        96  [45,65)    1132
62       783      22        86  [45,65)    1090
63       751      15        87  [45,65)    1108
64       725      19        79  [45,65)    1123
65       668      18        72  [45,65)    1103
66       735      14        71 [65,100]    1130
67       650       9        69 [65,100]    1091
68       637      17        65 [65,100]    1004
69       577      15        62 [65,100]     979
70       589      12        62 [65,100]     964
71       648      10        63 [65,100]     955
72       593      11        54 [65,100]     901
73       588      12        49 [65,100]     859
74       613      13        48 [65,100]     830
75       638      12        51 [65,100]     836
76       628      13        43 [65,100]     778
77       585      15        40 [65,100]     728
78       541      10        42 [65,100]     623
79       521       9        41 [65,100]     543
80       490       7        48 [65,100]     538
81       501       9        42 [65,100]     461
82       441       5        28 [65,100]     400
83       414       5        23 [65,100]     356
84       358       6        17 [65,100]     311
85       300       8        16 [65,100]     284
86       303       7        12 [65,100]     264
87       263       5        13 [65,100]     236
88       213       8         9 [65,100]     191
89       182       5         9 [65,100]     147
90       149       3         7 [65,100]     132
91       121       2         8 [65,100]     105
92       102       2         4 [65,100]      80
93        91       0         3 [65,100]      57
94        76       1         3 [65,100]      46
95        56       1         3 [65,100]      36
96        50       0         3 [65,100]      34
97        46       0         2 [65,100]      24
98        39       0         1 [65,100]      18
99        25       0         1 [65,100]      21
100       22       0         1 [65,100]      15
101       49       0         1 [65,100]      27
102     1344      30       755   [0,20)    2090
103     1346      37       606   [0,20)    2061
104     1452      30       602   [0,20)    2089
105     1539      36       585   [0,20)    2209
106     1620      32       576   [0,20)    2216
107     1632      44       596   [0,20)    2273
108     1720      38       550   [0,20)    2301
109     1785      44       532   [0,20)    2210
110     1800      55       528   [0,20)    2265
111     1874      48       550   [0,20)    2189
112     1968      48       524   [0,20)    2128
113     1825      45       478   [0,20)    2199
114     1706      49       470   [0,20)    2092
115     1603      47       453   [0,20)    1962
116     1561      40       453   [0,20)    1977
117     1568      40       387   [0,20)    2042
118     1553      34       379   [0,20)    2059
119     1557      50       362   [0,20)    2023
120     1488      42       364   [0,20)    2122
121     1336      39       352   [0,20)    2415
122     1347      37       312  [20,45)    2630
123     1278      49       305  [20,45)    2538
124     1178      53       292  [20,45)    2314
125     1216      49       257  [20,45)    2336
126     1271      36       284  [20,45)    2370
127     1312      38       301  [20,45)    2564
128     1256      39       297  [20,45)    2641
129     1317      47       286  [20,45)    2893
130     1340      42       293  [20,45)    2971
131     1491      43       309  [20,45)    3070
132     1731      56       308  [20,45)    3162
133     1579      59       283  [20,45)    3080
134     1441      70       257  [20,45)    2902
135     1452      41       256  [20,45)    2779
136     1558      46       267  [20,45)    2833
137     1762      74       271  [20,45)    3097
138     1624      58       262  [20,45)    3152
139     1617      48       253  [20,45)    3096
140     1666      48       253  [20,45)    2812
141     1651      65       257  [20,45)    2695
142     1823      55       279  [20,45)    2877
143     1613      57       238  [20,45)    2742
144     1529      56       243  [20,45)    2593
145     1464      53       225  [20,45)    2481
146     1460      44       207  [20,45)    2425
147     1591      53       220  [45,65)    2453
148     1491      46       204  [45,65)    2289
149     1403      49       174  [45,65)    2100
150     1300      47       164  [45,65)    2048
151     1289      44       159  [45,65)    1987
152     1453      38       162  [45,65)    2088
153     1332      39       151  [45,65)    1929
154     1237      42       147  [45,65)    1797
155     1146      52       147  [45,65)    1574
156      975      37       120  [45,65)    1386
157      937      28       126  [45,65)    1292
158      911      38       113  [45,65)    1195
159      866      27       101  [45,65)    1084
160      770      32        98  [45,65)     970
161      751      32        77  [45,65)    1005
162      754      24        83  [45,65)    1046
163      697      19        72  [45,65)     952
164      606      18        64  [45,65)     929
165      615      11        66  [45,65)     878
166      613      11        58  [45,65)     839
167      588      14        51 [65,100]     876
168      499      12        49 [65,100]     847
169      490       4        53 [65,100]     799
170      471       5        46 [65,100]     774
171      460       7        45 [65,100]     766
172      432       7        35 [65,100]     745
173      390       9        39 [65,100]     689
174      405      10        34 [65,100]     644
175      411      11        35 [65,100]     626
176      435       7        35 [65,100]     565
177      388       7        32 [65,100]     586
178      346       8        25 [65,100]     535
179      344       9        26 [65,100]     480
180      346       5        29 [65,100]     411
181      314       7        30 [65,100]     364
182      312       5        28 [65,100]     371
183      227       3        24 [65,100]     276
184      209       4        15 [65,100]     234
185      162       3         8 [65,100]     223
186      161       2        11 [65,100]     177
187      142       3        10 [65,100]     143
188      108       2        10 [65,100]     140
189       87       2         7 [65,100]     120
190       77       0         5 [65,100]     106
191       67       3         6 [65,100]      90
192       49       3         6 [65,100]      65
193       33       2         3 [65,100]      43
194       20       1         3 [65,100]      48
195       20       0         3 [65,100]      37
196       24       0         2 [65,100]      22
197       17       0         1 [65,100]      13
198       14       1         2 [65,100]      11
199       12       0         2 [65,100]      10
200        9       0         0 [65,100]       7
201        6       0         0 [65,100]       4
202       12       0         1 [65,100]       8
7475     279       9       267   [0,20)     975
7476     285       8       202   [0,20)     958
7477     266       9       174   [0,20)     958
7478     283      11       183   [0,20)     979
7479     307       7       156   [0,20)    1017
7480     320       8       143   [0,20)    1127
7481     380       9       132   [0,20)    1137
7482     387       6       145   [0,20)    1173
7483     395      12       153   [0,20)    1190
7484     386       6       139   [0,20)    1190
7485     398       7       131   [0,20)    1169
7486     361       8       124   [0,20)    1236
7487     391      11       132   [0,20)    1209
7488     358      11       126   [0,20)    1156
7489     348       5       124   [0,20)    1181
7490     368       5       127   [0,20)    1241
7491     353       6       115   [0,20)    1290
7492     367       9       119   [0,20)    1334
7493     370      12       122   [0,20)    1296
7494     384      14       126   [0,20)    1449
7495     361      14       117  [20,45)    1612
7496     350      15       114  [20,45)    1659
7497     342      17       139  [20,45)    1819
7498     380      16       177  [20,45)    2037
7499     379      22       181  [20,45)    2226
7500     376      20       199  [20,45)    2363
7501     362      24       204  [20,45)    2434
7502     357      20       202  [20,45)    2499
7503     409      26       212  [20,45)    2455
7504     430      28       221  [20,45)    2454
7505     484      24       208  [20,45)    2490
7506     422      25       179  [20,45)    2263
7507     392      25       163  [20,45)    2112
7508     376      20       147  [20,45)    1981
7509     394      20       136  [20,45)    2008
7510     428      18       146  [20,45)    2134
7511     422      18       134  [20,45)    2138
7512     441      23       117  [20,45)    2146
7513     444      18       103  [20,45)    1988
7514     429      23        95  [20,45)    1909
7515     489      26       104  [20,45)    2005
7516     440      29        94  [20,45)    1932
7517     486      18        95  [20,45)    1929
7518     456      19        87  [20,45)    1927
7519     435      18        82  [20,45)    1959
7520     485      22        83  [45,65)    1994
7521     459      21        78  [45,65)    1910
7522     433      14        78  [45,65)    1889
7523     405      12        76  [45,65)    1884
7524     388      18        66  [45,65)    1943
7525     407      20        79  [45,65)    2231
7526     392      21        74  [45,65)    2106
7527     396      21        69  [45,65)    1817
7528     357      17        66  [45,65)    1620
7529     313      16        58  [45,65)    1427
7530     291      17        55  [45,65)    1336
7531     319       9        55  [45,65)    1198
7532     316      10        47  [45,65)    1137
7533     273       9        35  [45,65)    1196
7534     283       8        35  [45,65)    1235
7535     317       9        41  [45,65)    1315
7536     261       6        38  [45,65)    1260
7537     263       8        34  [45,65)    1331
7538     259      12        40  [45,65)    1308
7539     273      12        37  [45,65)    1341
7540     259       6        35 [65,100]    1335
7541     234       6        26 [65,100]    1366
7542     245       6        23 [65,100]    1294
7543     224       7        28 [65,100]    1222
7544     231       7        26 [65,100]    1326
7545     232       4        26 [65,100]    1406
7546     231       5        27 [65,100]    1286
7547     243       9        33 [65,100]    1268
7548     254       5        29 [65,100]    1285
7549     237       4        28 [65,100]    1267
7550     258       4        33 [65,100]    1138
7551     249       4        25 [65,100]    1000
7552     240       8        23 [65,100]     919
7553     239       5        24 [65,100]     858
7554     199       3        14 [65,100]     776
7555     196       2        17 [65,100]     720
7556     171       2        18 [65,100]     630
7557     159       2        17 [65,100]     545
7558     157       3        12 [65,100]     490
7559     156       4        11 [65,100]     457
7560     136       4        11 [65,100]     398
7561     119       4        13 [65,100]     344
7562      88       6        11 [65,100]     306
7563      77       4         9 [65,100]     273
7564      69       1         5 [65,100]     224
7565      50       1         4 [65,100]     178
7566      48       1         5 [65,100]     155
7567      44       1         5 [65,100]     126
7568      34       2         5 [65,100]     106
7569      25       0         3 [65,100]      85
7570      22       1         3 [65,100]      65
7571       9       0         2 [65,100]      52
7572       8       0         1 [65,100]      45
7573       6       0         1 [65,100]      31
7574       7       0         0 [65,100]      20
7575      16       0         1 [65,100]      48
7576     269      12       278   [0,20)    1010
7577     279       8       213   [0,20)     948
7578     314       4       187   [0,20)     965
7579     327       7       182   [0,20)    1085
7580     335       8       159   [0,20)    1111
7581     336       8       133   [0,20)    1176
7582     332       9       134   [0,20)    1185
7583     330      11       138   [0,20)    1163
7584     389       8       132   [0,20)    1206
7585     382      10       126   [0,20)    1240
7586     409       9       129   [0,20)    1302
7587     383       8       133   [0,20)    1317
7588     356       8       121   [0,20)    1300
7589     385       8       109   [0,20)    1274
7590     388       5       119   [0,20)    1303
7591     342       7       123   [0,20)    1337
7592     346       7       108   [0,20)    1388
7593     360       7       105   [0,20)    1402
7594     346      10       110   [0,20)    1389
7595     351      11       112   [0,20)    1440
7596     348      16       105  [20,45)    1572
7597     328      19       103  [20,45)    1550
7598     302      19       131  [20,45)    1678
7599     322      21       145  [20,45)    1870
7600     342      23       162  [20,45)    2055
7601     351      30       171  [20,45)    2194
7602     345      37       172  [20,45)    2218
7603     351      34       186  [20,45)    2276
7604     403      36       196  [20,45)    2283
7605     428      38       198  [20,45)    2242
7606     501      37       213  [20,45)    2332
7607     483      39       199  [20,45)    2131
7608     446      35       170  [20,45)    1910
7609     439      33       154  [20,45)    1794
7610     443      38       144  [20,45)    1840
7611     539      40       160  [20,45)    1977
7612     499      35       165  [20,45)    1912
7613     500      34       141  [20,45)    1970
7614     502      35       126  [20,45)    1851
7615     535      35       132  [20,45)    1798
7616     586      37       140  [20,45)    1891
7617     549      32       125  [20,45)    1766
7618     570      22       119  [20,45)    1757
7619     522      33       111  [20,45)    1758
7620     477      24        98  [20,45)    1754
7621     522      24       106  [45,65)    1833
7622     495      28       101  [45,65)    1714
7623     474      21        96  [45,65)    1662
7624     495      27        80  [45,65)    1564
7625     486      21        84  [45,65)    1654
7626     536      25       100  [45,65)    1938
7627     474      19        78  [45,65)    1825
7628     415      20        62  [45,65)    1583
7629     391      24        65  [45,65)    1341
7630     315      17        57  [45,65)    1128
7631     323      13        51  [45,65)    1115
7632     294      17        43  [45,65)    1017
7633     311      16        42  [45,65)     952
7634     257      19        43  [45,65)     981
7635     268      11        38  [45,65)     967
7636     293      16        40  [45,65)    1056
7637     262      13        32  [45,65)    1029
7638     257       8        33  [45,65)    1001
7639     253      10        35  [45,65)    1006
7640     231       5        34  [45,65)    1038
7641     242       8        29 [65,100]    1114
7642     209       5        19 [65,100]    1149
7643     205       5        23 [65,100]    1087
7644     175       6        20 [65,100]     979
7645     178       5        22 [65,100]    1012
7646     192       6        30 [65,100]    1046
7647     167       3        24 [65,100]     965
7648     182       2        28 [65,100]     922
7649     180       4        29 [65,100]     906
7650     163       4        23 [65,100]     882
7651     137       2        20 [65,100]     918
7652     140       1        20 [65,100]     815
7653     138       2        17 [65,100]     826
7654     138       2        18 [65,100]     739
7655     127       1        16 [65,100]     582
7656     130       2        15 [65,100]     539
7657     111       3        15 [65,100]     420
7658      96       2        12 [65,100]     338
7659      64       1        10 [65,100]     308
7660      53       2         9 [65,100]     296
7661      45       1         9 [65,100]     249
7662      42       2         7 [65,100]     205
7663      39       1         9 [65,100]     169
7664      40       1         5 [65,100]     149
7665      32       2         4 [65,100]     141
7666      15       2         3 [65,100]     110
7667      15       0         2 [65,100]      87
7668      16       0         2 [65,100]      70
7669      16       0         3 [65,100]      45
7670      12       1         3 [65,100]      41
7671       9       0         2 [65,100]      23
7672       9       0         1 [65,100]      11
7673       3       0         0 [65,100]      13
7674       0       0         0 [65,100]       9
7675       2       0         0 [65,100]       8
7676       7       0         1 [65,100]      17

#This R script has indexed the Bay Area counties such that we now have Alameda and San Francisco counties only. 

#7 Labels for later use
agelabs <- names(table(bapop$Agecat))
sexlabs <- c("Female", "Male")
racen <- c("White", "AfrAmer", "AsianPI", "Latino", "Multirace",
           "AmerInd")
ctylabs <- names(table(bapop$County))
agelabs
[1] "[0,20)"   "[20,45)"  "[45,65)"  "[65,100]"
sexlabs
[1] "Female" "Male"  
racen
[1] "White"     "AfrAmer"   "AsianPI"   "Latino"    "Multirace" "AmerInd"  

#This R script has created labels that represent names. These names can later be used to rename variables or to name new variables. 

#8 Aggregate
bapop2 <- aggregate(bapop[,racen],list(Agecat = bapop$Agecat, Sex = bapop$Sex,County = bapop$County), sum)
bapop2
     Agecat Sex        County  White AfrAmer AsianPI Latino Multirace
1    [0,20)   F       Alameda  58160   31765   40653  49738     10120
2   [20,45)   F       Alameda 112326   44437   72923  58553      7658
3   [45,65)   F       Alameda  82205   24948   33236  18534      2922
4  [65,100]   F       Alameda  49762   12834   16004   7548      1014
5    [0,20)   M       Alameda  61446   32277   42922  53097     10102
6   [20,45)   M       Alameda 115745   36976   69053  69233      6795
7   [45,65)   M       Alameda  81332   20737   29841  17402      2506
8  [65,100]   M       Alameda  33994    8087   11855   5416       711
9    [0,20)   F San Francisco  14355    6986   23265  13251      2940
10  [20,45)   F San Francisco  85766   10284   52479  23458      3656
11  [45,65)   F San Francisco  35617    6890   31478   9184      1144
12 [65,100]   F San Francisco  27215    5172   23044   5773       554
13   [0,20)   M San Francisco  14881    6959   24541  14480      2851
14  [20,45)   M San Francisco 105798   11111   48379  31605      3766
15  [45,65)   M San Francisco  43694    7352   26404   8674      1220
16 [65,100]   M San Francisco  20072    3329   17190   3428       450
   AmerInd
1      839
2     1401
3      822
4      246
5      828
6     1263
7      687
8      156
9      173
10     526
11     282
12     121
13     165
14     782
15     354
16      76

#This R script has aggregated the data. 

#9 Temp matrix of counts
tmp <- as.matrix(cbind(bapop2[1:4,racen], bapop2[5:8,racen],bapop2[9:12,racen], bapop2[13:16,racen]))
tmp
   White AfrAmer AsianPI Latino Multirace AmerInd  White AfrAmer AsianPI
1  58160   31765   40653  49738     10120     839  61446   32277   42922
2 112326   44437   72923  58553      7658    1401 115745   36976   69053
3  82205   24948   33236  18534      2922     822  81332   20737   29841
4  49762   12834   16004   7548      1014     246  33994    8087   11855
  Latino Multirace AmerInd White AfrAmer AsianPI Latino Multirace AmerInd
1  53097     10102     828 14355    6986   23265  13251      2940     173
2  69233      6795    1263 85766   10284   52479  23458      3656     526
3  17402      2506     687 35617    6890   31478   9184      1144     282
4   5416       711     156 27215    5172   23044   5773       554     121
   White AfrAmer AsianPI Latino Multirace AmerInd
1  14881    6959   24541  14480      2851     165
2 105798   11111   48379  31605      3766     782
3  43694    7352   26404   8674      1220     354
4  20072    3329   17190   3428       450      76

#This R script grouped racial and ethnic categories by fours. I am actually not sure about the utility of this. When would this be used? 

#10 Convert into final array
bapop3 <- array(tmp, c(4, 6, 2, 2))
dimnames(bapop3) <- list(agelabs, racen, sexlabs, ctylabs)
bapop3
, , Female, Alameda

          White AfrAmer AsianPI Latino Multirace AmerInd
[0,20)    58160   31765   40653  49738     10120     839
[20,45)  112326   44437   72923  58553      7658    1401
[45,65)   82205   24948   33236  18534      2922     822
[65,100]  49762   12834   16004   7548      1014     246

, , Male, Alameda

          White AfrAmer AsianPI Latino Multirace AmerInd
[0,20)    61446   32277   42922  53097     10102     828
[20,45)  115745   36976   69053  69233      6795    1263
[45,65)   81332   20737   29841  17402      2506     687
[65,100]  33994    8087   11855   5416       711     156

, , Female, San Francisco

         White AfrAmer AsianPI Latino Multirace AmerInd
[0,20)   14355    6986   23265  13251      2940     173
[20,45)  85766   10284   52479  23458      3656     526
[45,65)  35617    6890   31478   9184      1144     282
[65,100] 27215    5172   23044   5773       554     121

, , Male, San Francisco

          White AfrAmer AsianPI Latino Multirace AmerInd
[0,20)    14881    6959   24541  14480      2851     165
[20,45)  105798   11111   48379  31605      3766     782
[45,65)   43694    7352   26404   8674      1220     354
[65,100]  20072    3329   17190   3428       450      76

#This R script has created a new array using new variables (vectors) created in prior script.