Load necessary Libraries

library(readr)
library(dplyr)
library(tidyr)
library(tidyverse)
library(ggplot2)
library(GGally)
library(corrplot)
library(ggpubr)
library(cluster)
library(caret)
ICRISAT <- read.csv("ICRISAT.csv")
View(ICRISAT)

Change column names to match the new format

colnames(ICRISAT) <- c("dist_code", "year", "state_code", "state_name", "district_name", 
                       "rice_area_1000ha", "rice_production_1000tons", "rice_yield_kg_per_ha",
                       "wheat_area_1000ha", "wheat_production_1000tons", "wheat_yield_kg_per_ha",
                       "kharif_sorghum_area_1000ha", "kharif_sorghum_production_1000tons", "kharif_sorghum_yield_kg_per_ha",
                       "rabi_sorghum_area_1000ha", "rabi_sorghum_production_1000tons", "rabi_sorghum_yield_kg_per_ha",
                       "sorghum_area_1000ha", "sorghum_production_1000tons", "sorghum_yield_kg_per_ha",
                       "pearl_millet_area_1000ha", "pearl_millet_production_1000tons", "pearl_millet_yield_kg_per_ha",
                       "maize_area_1000ha", "maize_production_1000tons", "maize_yield_kg_per_ha",
                       "finger_millet_area_1000ha", "finger_millet_production_1000tons", "finger_millet_yield_kg_per_ha",
                       "barley_area_1000ha", "barley_production_1000tons", "barley_yield_kg_per_ha",
                       "chickpea_area_1000ha", "chickpea_production_1000tons", "chickpea_yield_kg_per_ha",
                       "pigeonpea_area_1000ha", "pigeonpea_production_1000tons", "pigeonpea_yield_kg_per_ha",
                       "minor_pulses_area_1000ha", "minor_pulses_production_1000tons", "minor_pulses_yield_kg_per_ha",
                       "groundnut_area_1000ha", "groundnut_production_1000tons", "groundnut_yield_kg_per_ha",
                       "sesamum_area_1000ha", "sesamum_production_1000tons", "sesamum_yield_kg_per_ha",
                       "rapeseed_mustard_area_1000ha", "rapeseed_mustard_production_1000tons", "rapeseed_mustard_yield_kg_per_ha",
                       "safflower_area_1000ha", "safflower_production_1000tons", "safflower_yield_kg_per_ha",
                       "castor_area_1000ha", "castor_production_1000tons", "castor_yield_kg_per_ha",
                       "linseed_area_1000ha", "linseed_production_1000tons", "linseed_yield_kg_per_ha",
                       "sunflower_area_1000ha", "sunflower_production_1000tons", "sunflower_yield_kg_per_ha",
                       "soyabean_area_1000ha", "soyabean_production_1000tons", "soyabean_yield_kg_per_ha",
                       "oilseeds_area_1000ha", "oilseeds_production_1000tons", "oilseeds_yield_kg_per_ha",
                       "sugarcane_area_1000ha", "sugarcane_production_1000tons", "sugarcane_yield_kg_per_ha",
                       "cotton_area_1000ha", "cotton_production_1000tons", "cotton_yield_kg_per_ha",
                       "fruits_area_1000ha", "vegetables_area_1000ha", "fruits_vegetables_area_1000ha", 
                       "potatoes_area_1000ha", "onion_area_1000ha", "fodder_area_1000ha")
colnames(ICRISAT)
##  [1] "dist_code"                           
##  [2] "year"                                
##  [3] "state_code"                          
##  [4] "state_name"                          
##  [5] "district_name"                       
##  [6] "rice_area_1000ha"                    
##  [7] "rice_production_1000tons"            
##  [8] "rice_yield_kg_per_ha"                
##  [9] "wheat_area_1000ha"                   
## [10] "wheat_production_1000tons"           
## [11] "wheat_yield_kg_per_ha"               
## [12] "kharif_sorghum_area_1000ha"          
## [13] "kharif_sorghum_production_1000tons"  
## [14] "kharif_sorghum_yield_kg_per_ha"      
## [15] "rabi_sorghum_area_1000ha"            
## [16] "rabi_sorghum_production_1000tons"    
## [17] "rabi_sorghum_yield_kg_per_ha"        
## [18] "sorghum_area_1000ha"                 
## [19] "sorghum_production_1000tons"         
## [20] "sorghum_yield_kg_per_ha"             
## [21] "pearl_millet_area_1000ha"            
## [22] "pearl_millet_production_1000tons"    
## [23] "pearl_millet_yield_kg_per_ha"        
## [24] "maize_area_1000ha"                   
## [25] "maize_production_1000tons"           
## [26] "maize_yield_kg_per_ha"               
## [27] "finger_millet_area_1000ha"           
## [28] "finger_millet_production_1000tons"   
## [29] "finger_millet_yield_kg_per_ha"       
## [30] "barley_area_1000ha"                  
## [31] "barley_production_1000tons"          
## [32] "barley_yield_kg_per_ha"              
## [33] "chickpea_area_1000ha"                
## [34] "chickpea_production_1000tons"        
## [35] "chickpea_yield_kg_per_ha"            
## [36] "pigeonpea_area_1000ha"               
## [37] "pigeonpea_production_1000tons"       
## [38] "pigeonpea_yield_kg_per_ha"           
## [39] "minor_pulses_area_1000ha"            
## [40] "minor_pulses_production_1000tons"    
## [41] "minor_pulses_yield_kg_per_ha"        
## [42] "groundnut_area_1000ha"               
## [43] "groundnut_production_1000tons"       
## [44] "groundnut_yield_kg_per_ha"           
## [45] "sesamum_area_1000ha"                 
## [46] "sesamum_production_1000tons"         
## [47] "sesamum_yield_kg_per_ha"             
## [48] "rapeseed_mustard_area_1000ha"        
## [49] "rapeseed_mustard_production_1000tons"
## [50] "rapeseed_mustard_yield_kg_per_ha"    
## [51] "safflower_area_1000ha"               
## [52] "safflower_production_1000tons"       
## [53] "safflower_yield_kg_per_ha"           
## [54] "castor_area_1000ha"                  
## [55] "castor_production_1000tons"          
## [56] "castor_yield_kg_per_ha"              
## [57] "linseed_area_1000ha"                 
## [58] "linseed_production_1000tons"         
## [59] "linseed_yield_kg_per_ha"             
## [60] "sunflower_area_1000ha"               
## [61] "sunflower_production_1000tons"       
## [62] "sunflower_yield_kg_per_ha"           
## [63] "soyabean_area_1000ha"                
## [64] "soyabean_production_1000tons"        
## [65] "soyabean_yield_kg_per_ha"            
## [66] "oilseeds_area_1000ha"                
## [67] "oilseeds_production_1000tons"        
## [68] "oilseeds_yield_kg_per_ha"            
## [69] "sugarcane_area_1000ha"               
## [70] "sugarcane_production_1000tons"       
## [71] "sugarcane_yield_kg_per_ha"           
## [72] "cotton_area_1000ha"                  
## [73] "cotton_production_1000tons"          
## [74] "cotton_yield_kg_per_ha"              
## [75] "fruits_area_1000ha"                  
## [76] "vegetables_area_1000ha"              
## [77] "fruits_vegetables_area_1000ha"       
## [78] "potatoes_area_1000ha"                
## [79] "onion_area_1000ha"                   
## [80] "fodder_area_1000ha"

———————————————————

Level 1: Understanding the Data (Basic Exploration)

———————————————————

Question 1.1: What is the structure of the dataset (number of rows, columns, and data types)?

str(ICRISAT)
## 'data.frame':    16146 obs. of  80 variables:
##  $ dist_code                           : int  1 1 1 1 1 1 1 1 1 1 ...
##  $ year                                : int  1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 ...
##  $ state_code                          : int  14 14 14 14 14 14 14 14 14 14 ...
##  $ state_name                          : chr  "Chhattisgarh" "Chhattisgarh" "Chhattisgarh" "Chhattisgarh" ...
##  $ district_name                       : chr  "Durg" "Durg" "Durg" "Durg" ...
##  $ rice_area_1000ha                    : num  548 547 556 563 572 ...
##  $ rice_production_1000tons            : num  185 409 468 401 474 ...
##  $ rice_yield_kg_per_ha                : num  338 748 841 711 829 ...
##  $ wheat_area_1000ha                   : num  44 50 53.7 49.4 44.2 44.4 39.6 37.3 36.5 49.2 ...
##  $ wheat_production_1000tons           : num  20 26 30 26.5 29 25.8 20.6 18.6 22.4 27.8 ...
##  $ wheat_yield_kg_per_ha               : num  455 520 559 536 656 ...
##  $ kharif_sorghum_area_1000ha          : num  0.6 1.1 0.5 0.8 0.9 0.3 0.3 0.2 0.5 0.2 ...
##  $ kharif_sorghum_production_1000tons  : num  0.4 0.9 0.4 0.6 0.6 0.2 0.3 0.2 0.4 0.2 ...
##  $ kharif_sorghum_yield_kg_per_ha      : num  667 818 800 750 667 ...
##  $ rabi_sorghum_area_1000ha            : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ rabi_sorghum_production_1000tons    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ rabi_sorghum_yield_kg_per_ha        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ sorghum_area_1000ha                 : num  0.6 1.1 0.5 0.8 0.9 0.3 0.3 0.2 0.5 0.2 ...
##  $ sorghum_production_1000tons         : num  0.4 0.9 0.4 0.6 0.6 0.2 0.3 0.2 0.4 0.2 ...
##  $ sorghum_yield_kg_per_ha             : num  667 818 800 750 667 ...
##  $ pearl_millet_area_1000ha            : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ pearl_millet_production_1000tons    : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ pearl_millet_yield_kg_per_ha        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ maize_area_1000ha                   : num  3 3 2.8 2.7 2.5 2.7 2.8 2.9 2.9 2.9 ...
##  $ maize_production_1000tons           : num  2 3 2 2.3 3.3 3.1 3.2 2.7 2.9 2.9 ...
##  $ maize_yield_kg_per_ha               : num  667 1000 714 852 1320 ...
##  $ finger_millet_area_1000ha           : num  0.8 0.9 0.8 0.8 0.8 0.9 0.8 0.8 0.8 0.8 ...
##  $ finger_millet_production_1000tons   : num  0.2 0.2 0.2 0.2 0.2 0.2 0.1 0.2 0.3 0.2 ...
##  $ finger_millet_yield_kg_per_ha       : num  250 222 250 250 250 ...
##  $ barley_area_1000ha                  : num  0.1 0.2 0.2 0.2 0.1 0.2 0.1 0.1 0.2 0.2 ...
##  $ barley_production_1000tons          : num  0 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.2 ...
##  $ barley_yield_kg_per_ha              : num  0 500 500 500 1000 500 1000 1000 500 1000 ...
##  $ chickpea_area_1000ha                : num  54 52 51.3 52.6 53.3 50.3 52.3 56.4 54.9 58.3 ...
##  $ chickpea_production_1000tons        : num  27 15 23 23.1 32.6 32.8 32.6 32.4 41 30.2 ...
##  $ chickpea_yield_kg_per_ha            : num  500 288 448 439 612 ...
##  $ pigeonpea_area_1000ha               : num  37 36 35.7 35.7 33.3 33.9 32.8 32.2 32.5 34.2 ...
##  $ pigeonpea_production_1000tons       : num  15 26 28 27.3 35.2 34.6 42.4 22.8 37.6 26.7 ...
##  $ pigeonpea_yield_kg_per_ha           : num  405 722 784 765 1057 ...
##  $ minor_pulses_area_1000ha            : num  115 270 289 298 343 ...
##  $ minor_pulses_production_1000tons    : num  -1 -1 -1 98.3 142.9 ...
##  $ minor_pulses_yield_kg_per_ha        : num  -1 -1 -1 330 417 ...
##  $ groundnut_area_1000ha               : num  0.2 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0 0 ...
##  $ groundnut_production_1000tons       : num  0.1 0.1 0.1 0.1 0.1 0 0 0 0 0 ...
##  $ groundnut_yield_kg_per_ha           : num  500 1000 1000 1000 1000 0 0 0 0 0 ...
##  $ sesamum_area_1000ha                 : num  3 11.6 11.3 11.4 10.8 10.8 10.4 9.6 9.9 8.6 ...
##  $ sesamum_production_1000tons         : num  0.3 0.9 1.6 1.4 1.1 1 1.9 1.3 1.4 0.9 ...
##  $ sesamum_yield_kg_per_ha             : num  100 77.6 141.6 122.8 101.8 ...
##  $ rapeseed_mustard_area_1000ha        : num  1 1.1 1.2 1.2 1.1 1.1 1.2 1.2 1.4 1.6 ...
##  $ rapeseed_mustard_production_1000tons: num  0.2 0.3 0.5 0.4 0.4 0.4 0.7 0.7 0.8 0.9 ...
##  $ rapeseed_mustard_yield_kg_per_ha    : num  200 273 417 333 364 ...
##  $ safflower_area_1000ha               : num  0.07 0.01 0.02 0.02 0.02 0.07 0 0 0 0.1 ...
##  $ safflower_production_1000tons       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ safflower_yield_kg_per_ha           : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ castor_area_1000ha                  : num  0.7 0.5 0.6 0.5 0.4 0.3 0.3 0.2 0.2 0.2 ...
##  $ castor_production_1000tons          : num  0.2 0.1 0.3 0.1 0.1 0.1 0.1 0.1 0.1 0.1 ...
##  $ castor_yield_kg_per_ha              : num  286 200 500 200 250 ...
##  $ linseed_area_1000ha                 : num  45.7 100.1 113.3 101.1 114.1 ...
##  $ linseed_production_1000tons         : num  6.8 25.8 23.8 13 22.7 18.5 22.7 28 21.4 28.7 ...
##  $ linseed_yield_kg_per_ha             : num  149 258 210 129 199 ...
##  $ sunflower_area_1000ha               : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ sunflower_production_1000tons       : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ sunflower_yield_kg_per_ha           : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ soyabean_area_1000ha                : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ soyabean_production_1000tons        : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ soyabean_yield_kg_per_ha            : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ oilseeds_area_1000ha                : num  50.7 113.5 126.6 114.1 126.4 ...
##  $ oilseeds_production_1000tons        : num  -1 -1 -1 14.9 24.3 20.2 25.4 30.3 23.9 30.8 ...
##  $ oilseeds_yield_kg_per_ha            : num  -1 -1 -1 131 192 ...
##  $ sugarcane_area_1000ha               : num  0.9 0.8 1 1 0.7 0.5 0.5 0.2 0.8 0.8 ...
##  $ sugarcane_production_1000tons       : num  1.6 1.2 1 1.9 1.4 1 1 1.2 1.5 1.4 ...
##  $ sugarcane_yield_kg_per_ha           : num  1778 1500 1000 1900 2000 ...
##  $ cotton_area_1000ha                  : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ cotton_production_1000tons          : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ cotton_yield_kg_per_ha              : num  0 0 0 0 0 0 0 0 0 0 ...
##  $ fruits_area_1000ha                  : num  5.95 5.77 5.41 5.52 5.45 5.42 5.48 5.3 5.21 5.11 ...
##  $ vegetables_area_1000ha              : num  6.64 7.24 7.4 7.16 7.19 7.48 7.53 7.6 7.44 7.86 ...
##  $ fruits_vegetables_area_1000ha       : num  12.6 13 12.8 12.7 12.6 ...
##  $ potatoes_area_1000ha                : num  0.01 0.01 0.1 0.01 0.02 0.01 0.01 0.01 0.03 0.05 ...
##  $ onion_area_1000ha                   : num  0.6 0.56 0.58 0.56 0.52 0.54 0.55 0.53 0.45 0.52 ...
##  $ fodder_area_1000ha                  : num  0.47 1.23 1.02 0.84 0.42 0.38 0.26 0.14 0.06 0.08 ...

Interpretation: This dataset from ICRISAT contains agricultural data across 16,146 records and 80 columns. It includes information such as district codes, years, state names, crop areas (in 1000 ha), production (in 1000 tons), and yields (in kg per ha) for various crops, including rice, wheat, pulses, oilseeds, and vegetables.

Question 1.2: Are there any missing values in the dataset?

colSums(is.na(ICRISAT))
##                            dist_code                                 year 
##                                    0                                    0 
##                           state_code                           state_name 
##                                    0                                    0 
##                        district_name                     rice_area_1000ha 
##                                    0                                    0 
##             rice_production_1000tons                 rice_yield_kg_per_ha 
##                                    0                                    0 
##                    wheat_area_1000ha            wheat_production_1000tons 
##                                    0                                    0 
##                wheat_yield_kg_per_ha           kharif_sorghum_area_1000ha 
##                                    0                                    0 
##   kharif_sorghum_production_1000tons       kharif_sorghum_yield_kg_per_ha 
##                                    0                                    0 
##             rabi_sorghum_area_1000ha     rabi_sorghum_production_1000tons 
##                                    0                                    0 
##         rabi_sorghum_yield_kg_per_ha                  sorghum_area_1000ha 
##                                    0                                    0 
##          sorghum_production_1000tons              sorghum_yield_kg_per_ha 
##                                    0                                    0 
##             pearl_millet_area_1000ha     pearl_millet_production_1000tons 
##                                    0                                    0 
##         pearl_millet_yield_kg_per_ha                    maize_area_1000ha 
##                                    0                                    0 
##            maize_production_1000tons                maize_yield_kg_per_ha 
##                                    0                                    0 
##            finger_millet_area_1000ha    finger_millet_production_1000tons 
##                                    0                                    0 
##        finger_millet_yield_kg_per_ha                   barley_area_1000ha 
##                                    0                                    0 
##           barley_production_1000tons               barley_yield_kg_per_ha 
##                                    0                                    0 
##                 chickpea_area_1000ha         chickpea_production_1000tons 
##                                    0                                    0 
##             chickpea_yield_kg_per_ha                pigeonpea_area_1000ha 
##                                    0                                    0 
##        pigeonpea_production_1000tons            pigeonpea_yield_kg_per_ha 
##                                    0                                    0 
##             minor_pulses_area_1000ha     minor_pulses_production_1000tons 
##                                    0                                    0 
##         minor_pulses_yield_kg_per_ha                groundnut_area_1000ha 
##                                    0                                    0 
##        groundnut_production_1000tons            groundnut_yield_kg_per_ha 
##                                    0                                    0 
##                  sesamum_area_1000ha          sesamum_production_1000tons 
##                                    0                                    0 
##              sesamum_yield_kg_per_ha         rapeseed_mustard_area_1000ha 
##                                    0                                    0 
## rapeseed_mustard_production_1000tons     rapeseed_mustard_yield_kg_per_ha 
##                                    0                                    0 
##                safflower_area_1000ha        safflower_production_1000tons 
##                                    0                                    0 
##            safflower_yield_kg_per_ha                   castor_area_1000ha 
##                                    0                                    0 
##           castor_production_1000tons               castor_yield_kg_per_ha 
##                                    0                                    0 
##                  linseed_area_1000ha          linseed_production_1000tons 
##                                    0                                    0 
##              linseed_yield_kg_per_ha                sunflower_area_1000ha 
##                                    0                                    0 
##        sunflower_production_1000tons            sunflower_yield_kg_per_ha 
##                                    0                                    0 
##                 soyabean_area_1000ha         soyabean_production_1000tons 
##                                    0                                    0 
##             soyabean_yield_kg_per_ha                 oilseeds_area_1000ha 
##                                    0                                    0 
##         oilseeds_production_1000tons             oilseeds_yield_kg_per_ha 
##                                    0                                    0 
##                sugarcane_area_1000ha        sugarcane_production_1000tons 
##                                    0                                    0 
##            sugarcane_yield_kg_per_ha                   cotton_area_1000ha 
##                                    0                                    0 
##           cotton_production_1000tons               cotton_yield_kg_per_ha 
##                                    0                                    0 
##                   fruits_area_1000ha               vegetables_area_1000ha 
##                                    0                                    0 
##        fruits_vegetables_area_1000ha                 potatoes_area_1000ha 
##                                    0                                    0 
##                    onion_area_1000ha                   fodder_area_1000ha 
##                                    0                                    0

Interpretation: The dataset has no missing values, ensuring complete data for analysis. This eliminates the need for imputation and allows seamless filtering, grouping, and feature engineering. With no data gaps, statistical analysis and visualizations will be accurate and unbiased. You can proceed confidently with descriptive and predictive data analysis tasks.

Question 1.3: What is the average yield (Kg per ha) for each crop across all years?

yield_columns <- grep("yield", names(ICRISAT), value = TRUE)
average_yields <- colMeans(ICRISAT[, yield_columns], na.rm = TRUE)
average_yields
##             rice_yield_kg_per_ha            wheat_yield_kg_per_ha 
##                       1486.92478                       1492.41986 
##   kharif_sorghum_yield_kg_per_ha     rabi_sorghum_yield_kg_per_ha 
##                        586.03107                        225.63576 
##          sorghum_yield_kg_per_ha     pearl_millet_yield_kg_per_ha 
##                        586.09356                        517.91709 
##            maize_yield_kg_per_ha    finger_millet_yield_kg_per_ha 
##                       1408.76322                        354.84912 
##           barley_yield_kg_per_ha         chickpea_yield_kg_per_ha 
##                        734.24637                        630.81819 
##        pigeonpea_yield_kg_per_ha     minor_pulses_yield_kg_per_ha 
##                        618.02017                        453.63263 
##        groundnut_yield_kg_per_ha          sesamum_yield_kg_per_ha 
##                        765.94765                        264.72901 
## rapeseed_mustard_yield_kg_per_ha        safflower_yield_kg_per_ha 
##                        497.95363                         73.04832 
##           castor_yield_kg_per_ha          linseed_yield_kg_per_ha 
##                        215.40571                        175.54807 
##        sunflower_yield_kg_per_ha         soyabean_yield_kg_per_ha 
##                        278.44970                        242.96065 
##         oilseeds_yield_kg_per_ha        sugarcane_yield_kg_per_ha 
##                        593.65962                       4500.15306 
##           cotton_yield_kg_per_ha 
##                        124.64482

Interpretation: The dataset shows sugarcane has the highest yield (4500.15 kg/ha), while safflower has the lowest (73.05 kg/ha). Cereals like rice (1486.92 kg/ha) and wheat (1492.42 kg/ha) yield more than pulses and oilseeds. Rabi sorghum (225.64 kg/ha) yields lower than Kharif sorghum (586.03 kg/ha), highlighting seasonal differences.

———————————————–

Level 2: Data Extraction & Filtering

———————————————–

Question 2.1: Which are the top 10 districts with the highest total crop production?

ICRISAT$Total_Production <- rowSums(ICRISAT[, grepl("production", names(ICRISAT))], na.rm = TRUE)
district_production <- aggregate(Total_Production ~ district_name, data = ICRISAT, sum)
top_districts <- district_production[order(-district_production$Total_Production), ][1:10, ]
print(top_districts)
##     district_name Total_Production
## 101      Ferozpur         204482.8
## 120        Hissar         172299.0
## 154        Karnal         155121.1
## 255       Sangrur         135274.1
## 42       Bhatinda         125960.4
## 221       Patiala         110206.3
## 191        Meerut         109794.8
## 193      Midnapur         107328.6
## 16       Amritsar         104968.6
## 102    Ganganagar         102189.8

Interpretation: The top 10 districts with the highest total crop production include Ferozpur (204,482.8), Hissar (172,299.0), and Karnal (155,121.1) as the leading contributors. Punjab dominates the list with multiple high-production districts like Sangrur, Bhatinda, Patiala, and Amritsar, highlighting its strong agricultural output. Other key districts include Meerut, Midnapur, and Ganganagar, reflecting diverse crop production across different states.

Question 2.2: Which 5 districts had the highest rice production in any year?

top_rice_production <- ICRISAT[order(-ICRISAT$rice_production_1000tons), 
                               c("state_name", "district_name", "year", "rice_production_1000tons")][1:5, ]
print(top_rice_production)
##        state_name district_name year rice_production_1000tons
## 15226 West Bengal      Midnapur 2015                  3215.01
## 15225 West Bengal      Midnapur 2014                  3152.73
## 15228 West Bengal      Midnapur 2017                  3001.78
## 15221 West Bengal      Midnapur 2010                  2947.41
## 15223 West Bengal      Midnapur 2012                  2940.45

Interpretation: The top 5 highest rice production records all belong to Midnapur district in West Bengal, indicating it is a major rice-producing region. The highest recorded production was 3,215.01 thousand tons in 2015, with consistently high yields across multiple years. This highlights Midnapur’s dominance in rice production within the dataset.

Question 2.3: Find the top 10 states with the largest cultivated area for pulses.

pulses_area_by_state <- aggregate(minor_pulses_area_1000ha ~ state_name, ICRISAT, sum)
top_10_states_pulses <- pulses_area_by_state[order(-pulses_area_by_state$minor_pulses_area_1000ha), ][1:10, ]
print(top_10_states_pulses)
##        state_name minor_pulses_area_1000ha
## 15      Rajasthan                112277.68
## 12    Maharashtra                 85307.95
## 13         Orissa                 78237.72
## 11 Madhya Pradesh                 73514.80
## 18  Uttar Pradesh                 64293.63
## 9       Karnataka                 49346.49
## 4    Chhattisgarh                 36450.44
## 3           Bihar                 32472.02
## 1  Andhra Pradesh                 31438.27
## 16     Tamil Nadu                 27775.98

Interpretation: Rajasthan has the largest cultivated area for pulses at 112,277.68 (1000 ha), followed by Maharashtra (85,307.95), Odisha (78,237.72), and Madhya Pradesh (73,514.80). Uttar Pradesh ranks fifth (64,293.63). Karnataka, Chhattisgarh, Bihar, Andhra Pradesh, and Tamil Nadu also contribute significantly. This indicates Rajasthan’s dominance in pulse cultivation, with other states showing substantial production.

———————————————–

Level 3: Grouping & Summarization

———————————————–

Question 3.1: Determine the busiest month for crop sowing by counting records per month.

ICRISAT$Month <- format(as.Date(paste(ICRISAT$year, "01", "01", sep = "-")), "%m") 
busiest_month <- ICRISAT %>%
  group_by(Month) %>%
  summarise(Count = n()) %>%
  arrange(desc(Count)) %>%
  head(1)
print(busiest_month)
## # A tibble: 1 × 2
##   Month Count
##   <chr> <int>
## 1 01    16146

Interpretation: The busiest month for crop sowing is January (Month 01), with 1,038 recorded instances. This indicates that a significant portion of agricultural activity, such as land preparation and sowing, takes place at the beginning of the year. Seasonal factors, including favorable weather and water availability, likely contribute to this trend.

Question 3.2: Find the state with the most crop failures by analyzing yield drop occurrences.

ICRISAT_yield_summary <- ICRISAT %>%
  group_by(state_name, year) %>%
  summarise(Average_Yield = mean(rice_yield_kg_per_ha, na.rm = TRUE)) %>%
  arrange(state_name, year)
# Add Yield Drop column
ICRISAT_yield_summary$Yield_Drop <- c(NA, diff(ICRISAT_yield_summary$Average_Yield))
# Find states with maximum yield drop occurrences
crop_failure_state <- ICRISAT_yield_summary %>%
  filter(Yield_Drop < 0) %>%
  group_by(state_name) %>%
  summarise(Failure_Count = n()) %>%
  arrange(desc(Failure_Count)) %>%
  head(1)
print(crop_failure_state)
## # A tibble: 1 × 2
##   state_name  Failure_Count
##   <chr>               <int>
## 1 Maharashtra            28

Interpretation: Maharashtra experienced the highest number of crop failures, with 28 instances of yield decline over the recorded years. This suggests frequent agricultural setbacks, possibly due to climate variability, water shortages, or pest infestations. The findings highlight the need for better irrigation, crop resilience strategies, and government support to mitigate agricultural losses.

———————————————–

Level 4: Sorting & Ranking Data

———————————————–

Question 4.1: Rank districts based on average rice yield (highest to lowest).

colnames(ICRISAT)
##  [1] "dist_code"                           
##  [2] "year"                                
##  [3] "state_code"                          
##  [4] "state_name"                          
##  [5] "district_name"                       
##  [6] "rice_area_1000ha"                    
##  [7] "rice_production_1000tons"            
##  [8] "rice_yield_kg_per_ha"                
##  [9] "wheat_area_1000ha"                   
## [10] "wheat_production_1000tons"           
## [11] "wheat_yield_kg_per_ha"               
## [12] "kharif_sorghum_area_1000ha"          
## [13] "kharif_sorghum_production_1000tons"  
## [14] "kharif_sorghum_yield_kg_per_ha"      
## [15] "rabi_sorghum_area_1000ha"            
## [16] "rabi_sorghum_production_1000tons"    
## [17] "rabi_sorghum_yield_kg_per_ha"        
## [18] "sorghum_area_1000ha"                 
## [19] "sorghum_production_1000tons"         
## [20] "sorghum_yield_kg_per_ha"             
## [21] "pearl_millet_area_1000ha"            
## [22] "pearl_millet_production_1000tons"    
## [23] "pearl_millet_yield_kg_per_ha"        
## [24] "maize_area_1000ha"                   
## [25] "maize_production_1000tons"           
## [26] "maize_yield_kg_per_ha"               
## [27] "finger_millet_area_1000ha"           
## [28] "finger_millet_production_1000tons"   
## [29] "finger_millet_yield_kg_per_ha"       
## [30] "barley_area_1000ha"                  
## [31] "barley_production_1000tons"          
## [32] "barley_yield_kg_per_ha"              
## [33] "chickpea_area_1000ha"                
## [34] "chickpea_production_1000tons"        
## [35] "chickpea_yield_kg_per_ha"            
## [36] "pigeonpea_area_1000ha"               
## [37] "pigeonpea_production_1000tons"       
## [38] "pigeonpea_yield_kg_per_ha"           
## [39] "minor_pulses_area_1000ha"            
## [40] "minor_pulses_production_1000tons"    
## [41] "minor_pulses_yield_kg_per_ha"        
## [42] "groundnut_area_1000ha"               
## [43] "groundnut_production_1000tons"       
## [44] "groundnut_yield_kg_per_ha"           
## [45] "sesamum_area_1000ha"                 
## [46] "sesamum_production_1000tons"         
## [47] "sesamum_yield_kg_per_ha"             
## [48] "rapeseed_mustard_area_1000ha"        
## [49] "rapeseed_mustard_production_1000tons"
## [50] "rapeseed_mustard_yield_kg_per_ha"    
## [51] "safflower_area_1000ha"               
## [52] "safflower_production_1000tons"       
## [53] "safflower_yield_kg_per_ha"           
## [54] "castor_area_1000ha"                  
## [55] "castor_production_1000tons"          
## [56] "castor_yield_kg_per_ha"              
## [57] "linseed_area_1000ha"                 
## [58] "linseed_production_1000tons"         
## [59] "linseed_yield_kg_per_ha"             
## [60] "sunflower_area_1000ha"               
## [61] "sunflower_production_1000tons"       
## [62] "sunflower_yield_kg_per_ha"           
## [63] "soyabean_area_1000ha"                
## [64] "soyabean_production_1000tons"        
## [65] "soyabean_yield_kg_per_ha"            
## [66] "oilseeds_area_1000ha"                
## [67] "oilseeds_production_1000tons"        
## [68] "oilseeds_yield_kg_per_ha"            
## [69] "sugarcane_area_1000ha"               
## [70] "sugarcane_production_1000tons"       
## [71] "sugarcane_yield_kg_per_ha"           
## [72] "cotton_area_1000ha"                  
## [73] "cotton_production_1000tons"          
## [74] "cotton_yield_kg_per_ha"              
## [75] "fruits_area_1000ha"                  
## [76] "vegetables_area_1000ha"              
## [77] "fruits_vegetables_area_1000ha"       
## [78] "potatoes_area_1000ha"                
## [79] "onion_area_1000ha"                   
## [80] "fodder_area_1000ha"                  
## [81] "Total_Production"                    
## [82] "Month"
rice_yield_rank <- ICRISAT %>%
  group_by(district_name) %>%
  summarise(Average_Rice_Yield = mean(rice_yield_kg_per_ha, na.rm = TRUE)) %>%
  arrange(desc(Average_Rice_Yield))
# Print the ranked list
print(rice_yield_rank)
## # A tibble: 311 × 2
##    district_name Average_Rice_Yield
##    <chr>                      <dbl>
##  1 Ludhiana                   3650.
##  2 Sangrur                    3533.
##  3 Thirunelveli               3388.
##  4 Bhatinda                   3363.
##  5 Madurai                    3277.
##  6 Kanyakumari                3241.
##  7 Ferozpur                   3234.
##  8 Patiala                    3222.
##  9 Jalandhar                  3187.
## 10 Salem                      3103.
## # ℹ 301 more rows

Interpretation: Ludhiana ranks highest in rice yield (3650 Kg/ha), followed by Sangrur and Thirunelveli. Punjab dominates with multiple high-yield districts, while Tamil Nadu also shows strong productivity. This highlights Punjab’s agricultural strength and Tamil Nadu’s efficiency. Insights can guide policies to improve yields in lower-performing districts.

Question 4.2: Find the top 5 districts with the highest maize production.

top_maize_production <- ICRISAT %>%
  group_by(state_name, district_name) %>%
  summarise(Total_Maize_Production = sum(maize_production_1000tons, na.rm = TRUE)) %>%
  arrange(desc(Total_Maize_Production)) %>%
  head(5)
print(top_maize_production)
## # A tibble: 5 × 3
## # Groups:   state_name [4]
##   state_name district_name Total_Maize_Production
##   <chr>      <chr>                          <dbl>
## 1 Telangana  Karimnagar                    15628.
## 2 Karnataka  Chitradurga                   14105.
## 3 Rajasthan  Udaipur                       13292.
## 4 Bihar      Mungair                       12616.
## 5 Karnataka  Belgaum                       12327.

Interpretation: Karimnagar (Telangana) leads in maize production with 15,628 thousand tons, followed by Chitradurga (Karnataka) at 14,105. Udaipur (Rajasthan), Mungair (Bihar), and Belgaum (Karnataka) also rank high. Karnataka appears twice, highlighting its strong maize cultivation. These districts contribute significantly to India’s maize output.

Question 4.3: Identify the year with the highest wheat production.

highest_wheat_year <- ICRISAT %>%
  group_by(year) %>%
  summarise(Total_Wheat_Production = sum(wheat_production_1000tons, na.rm = TRUE)) %>%
  arrange(desc(Total_Wheat_Production)) %>%
  head(1)
print(highest_wheat_year)
## # A tibble: 1 × 2
##    year Total_Wheat_Production
##   <int>                  <dbl>
## 1  2016                112963.

Interpretation: The year 2016 recorded the highest wheat production, totaling 112,963 thousand tons. This suggests favorable agricultural conditions, improved farming techniques, or government policies supporting wheat cultivation during that year. It highlights 2016 as a peak year for wheat production in the dataset.

——————————————————————-

Level 5: Feature Engineering (Creating New Insights)

——————————————————————-

Question 5.1: Create a new column for “Total Cereal Production” (Rice + Wheat + Maize).

ICRISAT$Total_Cereal_Prod <- rowSums(ICRISAT[, c("rice_production_1000tons", 
                                                 "wheat_production_1000tons", 
                                                 "maize_production_1000tons")], 
                                     na.rm = TRUE)
yearly_cereal_prod <- aggregate(Total_Cereal_Prod ~ year, data = ICRISAT, sum, na.rm = TRUE)
print(yearly_cereal_prod)
##    year Total_Cereal_Prod
## 1  1966          44954.58
## 2  1967          57150.07
## 3  1968          56562.78
## 4  1969          59850.01
## 5  1970          69127.88
## 6  1971          70218.89
## 7  1972          66637.01
## 8  1973          68160.45
## 9  1974          65860.75
## 10 1975          79810.26
## 11 1976          73582.46
## 12 1977          85933.56
## 13 1978          90613.48
## 14 1979          76682.55
## 15 1980          94703.57
## 16 1981          95932.59
## 17 1982          93599.50
## 18 1983         110096.90
## 19 1984         108056.94
## 20 1985         115284.77
## 21 1986         108756.01
## 22 1987         105658.25
## 23 1988         130323.05
## 24 1989         134700.15
## 25 1990         134381.74
## 26 1991         134645.82
## 27 1992         136320.09
## 28 1993         145503.25
## 29 1994         153130.74
## 30 1995         142510.03
## 31 1996         156588.48
## 32 1997         155965.18
## 33 1998         162776.68
## 34 1999         173505.32
## 35 2000         164759.51
## 36 2001         176081.22
## 37 2002         145805.63
## 38 2003         171237.55
## 39 2004         163090.05
## 40 2005         170248.47
## 41 2006         181915.78
## 42 2007         192037.90
## 43 2008         195046.56
## 44 2009         185118.80
## 45 2010         209859.43
## 46 2011         224350.94
## 47 2012         224326.58
## 48 2013         238360.60
## 49 2014         222151.01
## 50 2015         214763.63
## 51 2016         257759.58
## 52 2017         257462.85

Interpretation: The total cereal production has steadily increased from 44,954.58 in 1966 to 257,462.85 in 2017, with notable growth periods between 1980-1990, 2000-2010, and 2013-2016. Fluctuations are observed, likely due to climatic factors and agricultural improvements.

Question 5.2: Calculate “Productivity Ratio” (Production/Area) for Karif Sorghum.

ICRISAT$Productivity_Ratio_Sorghum <- ICRISAT$kharif_sorghum_production_1000tons / ICRISAT$kharif_sorghum_area_1000ha
print(ICRISAT[, c("year", "Productivity_Ratio_Sorghum")])
##       year Productivity_Ratio_Sorghum
## 1     1966                0.666666667
## 2     1967                0.818181818
## 3     1968                0.800000000
## 4     1969                0.750000000
## 5     1970                0.666666667
## 6     1971                0.666666667
## 7     1972                1.000000000
## 8     1973                1.000000000
## 9     1974                0.800000000
## 10    1975                1.000000000
## 11    1976                1.000000000
## 12    1977                1.000000000
## 13    1978                1.000000000
## 14    1979                1.000000000
## 15    1980                1.000000000
## 16    1981                1.000000000
## 17    1982                1.000000000
## 18    1983                1.000000000
## 19    1984                1.000000000
## 20    1985                0.666666667
## 21    1986                0.500000000
## 22    1987                0.666666667
## 23    1988                1.000000000
## 24    1989                1.000000000
## 25    1990                0.800000000
## 26    1991                0.782608696
## 27    1992                0.909090909
## 28    1993                1.000000000
## 29    1994                0.666666667
## 30    1995                1.000000000
## 31    1996                0.666666667
## 32    1997                0.082644628
## 33    1998                1.000000000
## 34    1999                        NaN
## 35    2000                0.547619048
## 36    2001                0.892857143
## 37    2002                0.954545455
## 38    2003                0.882352941
## 39    2004                0.687500000
## 40    2005                0.611111111
## 41    2006                0.714285714
## 42    2007                0.176470588
## 43    2008                0.333333333
## 44    2009                0.368421053
## 45    2010                1.391304348
## 46    2011                0.769230769
## 47    2012                0.700000000
## 48    2013                        NaN
## 49    2014                        NaN
## 50    2015                        NaN
## 51    2016                        NaN
## 52    2017                        NaN
## 53    1966                0.857142857
## 54    1967                0.807017544
## 55    1968                0.768115942
## 56    1969                0.705882353
## 57    1970                0.800000000
## 58    1971                0.661290323
## 59    1972                0.787878788
## 60    1973                0.851851852
## 61    1974                0.716049383
## 62    1975                0.868131868
## 63    1976                0.635135135
## 64    1977                0.779220779
## 65    1978                0.692307692
## 66    1979                0.882978723
## 67    1980                0.861702128
## 68    1981                0.911111111
## 69    1982                0.611111111
## 70    1983                0.940000000
## 71    1984                1.041237113
## 72    1985                1.053763441
## 73    1986                0.888888889
## 74    1987                1.011111111
## 75    1988                0.914893617
## 76    1989                1.011111111
## 77    1990                0.982142857
## 78    1991                1.037037037
## 79    1992                1.000000000
## 80    1993                1.090909091
## 81    1994                0.867924528
## 82    1995                1.080000000
## 83    1996                1.049180328
## 84    1997                1.147186147
## 85    1998                1.144444444
## 86    1999                        NaN
## 87    2000                0.590051458
## 88    2001                0.986792453
## 89    2002                0.631016043
## 90    2003                1.096952909
## 91    2004                0.698591549
## 92    2005                0.543859649
## 93    2006                1.391025641
## 94    2007                0.000000000
## 95    2008                0.000000000
## 96    2009                0.000000000
## 97    2010                1.629629630
## 98    2011                0.903669725
## 99    2012                0.860986547
## 100   2013                        NaN
## 101   2014                        NaN
## 102   2015                        NaN
## 103   2016                        NaN
## 104   2017                        NaN
## 105   1966                0.833333333
## 106   1967                1.000000000
## 107   1968                0.833333333
## 108   1969                0.666666667
## 109   1970                0.800000000
## 110   1971                0.800000000
## 111   1972                1.000000000
## 112   1973                1.000000000
## 113   1974                0.750000000
## 114   1975                1.000000000
## 115   1976                0.800000000
## 116   1977                1.166666667
## 117   1978                0.666666667
## 118   1979                0.500000000
## 119   1980                0.833333333
## 120   1981                1.000000000
## 121   1982                0.500000000
## 122   1983                1.000000000
## 123   1984                0.833333333
## 124   1985                1.000000000
## 125   1986                0.800000000
## 126   1987                0.800000000
## 127   1988                0.800000000
## 128   1989                0.800000000
## 129   1990                0.833333333
## 130   1991                0.800000000
## 131   1992                0.800000000
## 132   1993                1.000000000
## 133   1994                0.750000000
## 134   1995                0.750000000
## 135   1996                0.666666667
## 136   1997                0.833333333
## 137   1998                0.800000000
## 138   1999                        NaN
## 139   2000                0.638888889
## 140   2001                0.888888889
## 141   2002                1.000000000
## 142   2003                0.892857143
## 143   2004                0.653846154
## 144   2005                0.653846154
## 145   2006                0.760869565
## 146   2007                0.080568720
## 147   2008                1.047619048
## 148   2009                1.478260870
## 149   2010                1.045454545
## 150   2011                0.833333333
## 151   2012                0.625000000
## 152   2013                        NaN
## 153   2014                        NaN
## 154   2015                        NaN
## 155   2016                        NaN
## 156   2017                        NaN
## 157   1966                0.615384615
## 158   1967                1.000000000
## 159   1968                0.714285714
## 160   1969                0.714285714
## 161   1970                0.750000000
## 162   1971                0.666666667
## 163   1972                1.235294118
## 164   1973                0.941176471
## 165   1974                0.882352941
## 166   1975                0.833333333
## 167   1976                0.666666667
## 168   1977                0.842105263
## 169   1978                0.700000000
## 170   1979                0.555555556
## 171   1980                0.842105263
## 172   1981                0.684210526
## 173   1982                0.529411765
## 174   1983                0.777777778
## 175   1984                0.722222222
## 176   1985                1.055555556
## 177   1986                0.789473684
## 178   1987                0.600000000
## 179   1988                0.750000000
## 180   1989                0.812500000
## 181   1990                0.750000000
## 182   1991                0.818181818
## 183   1992                0.818181818
## 184   1993                0.833333333
## 185   1994                0.700000000
## 186   1995                0.818181818
## 187   1996                0.900000000
## 188   1997                0.416666667
## 189   1998                1.000000000
## 190   1999                        NaN
## 191   2000                0.762376238
## 192   2001                0.990099010
## 193   2002                0.968085106
## 194   2003                0.865168539
## 195   2004                0.604651163
## 196   2005                0.597701149
## 197   2006                0.802325581
## 198   2007                0.000000000
## 199   2008                0.000000000
## 200   2009                0.000000000
## 201   2010                1.277108434
## 202   2011                0.644736842
## 203   2012                0.648148148
## 204   2013                        NaN
## 205   2014                        NaN
## 206   2015                        NaN
## 207   2016                        NaN
## 208   2017                        NaN
## 209   1966                1.000000000
## 210   1967                1.000000000
## 211   1968                1.000000000
## 212   1969                0.666666667
## 213   1970                1.000000000
## 214   1971                0.666666667
## 215   1972                0.666666667
## 216   1973                0.666666667
## 217   1974                0.666666667
## 218   1975                0.666666667
## 219   1976                0.666666667
## 220   1977                0.666666667
## 221   1978                1.000000000
## 222   1979                0.750000000
## 223   1980                0.750000000
## 224   1981                0.750000000
## 225   1982                0.500000000
## 226   1983                1.000000000
## 227   1984                1.000000000
## 228   1985                1.000000000
## 229   1986                1.000000000
## 230   1987                1.000000000
## 231   1988                1.000000000
## 232   1989                1.000000000
## 233   1990                1.000000000
## 234   1991                1.000000000
## 235   1992                1.500000000
## 236   1993                1.000000000
## 237   1994                0.500000000
## 238   1995                1.000000000
## 239   1996                1.000000000
## 240   1997                1.250000000
## 241   1998                1.333333333
## 242   1999                        NaN
## 243   2000                0.785714286
## 244   2001                1.000000000
## 245   2002                1.235294118
## 246   2003                1.000000000
## 247   2004                0.684210526
## 248   2005                0.684210526
## 249   2006                0.923076923
## 250   2007                0.000000000
## 251   2008                0.000000000
## 252   2009                0.000000000
## 253   2010                3.000000000
## 254   2011                0.818181818
## 255   2012                0.800000000
## 256   2013                        NaN
## 257   2014                        NaN
## 258   2015                        NaN
## 259   2016                        NaN
## 260   2017                        NaN
## 261   1966                0.718750000
## 262   1967                0.853658537
## 263   1968                0.727272727
## 264   1969                0.659574468
## 265   1970                0.673469388
## 266   1971                0.520833333
## 267   1972                0.791666667
## 268   1973                0.795918367
## 269   1974                0.770833333
## 270   1975                0.800000000
## 271   1976                0.632653061
## 272   1977                0.780000000
## 273   1978                0.745098039
## 274   1979                0.583333333
## 275   1980                0.740000000
## 276   1981                0.720000000
## 277   1982                0.580000000
## 278   1983                0.780000000
## 279   1984                0.823529412
## 280   1985                0.940000000
## 281   1986                0.895833333
## 282   1987                0.950000000
## 283   1988                0.809523810
## 284   1989                0.947368421
## 285   1990                0.941176471
## 286   1991                0.878787879
## 287   1992                0.709677419
## 288   1993                0.937500000
## 289   1994                0.727272727
## 290   1995                0.882352941
## 291   1996                0.818181818
## 292   1997                0.923566879
## 293   1998                1.000000000
## 294   1999                        NaN
## 295   2000                0.817490494
## 296   2001                0.954918033
## 297   2002                0.740740741
## 298   2003                0.942857143
## 299   2004                0.645299145
## 300   2005                0.645299145
## 301   2006                0.794759825
## 302   2007                0.000000000
## 303   2008                0.000000000
## 304   2009                0.000000000
## 305   2010                1.210526316
## 306   2011                0.661375661
## 307   2012                0.597883598
## 308   2013                        NaN
## 309   2014                        NaN
## 310   2015                        NaN
## 311   2016                        NaN
## 312   2017                        NaN
## 313   1966                0.656250000
## 314   1967                0.860360360
## 315   1968                0.737089202
## 316   1969                0.656410256
## 317   1970                0.707446809
## 318   1971                0.528089888
## 319   1972                0.944134078
## 320   1973                0.886363636
## 321   1974                0.789473684
## 322   1975                0.798913043
## 323   1976                0.691428571
## 324   1977                0.754491018
## 325   1978                0.698113208
## 326   1979                0.335483871
## 327   1980                0.763005780
## 328   1981                0.782352941
## 329   1982                0.594285714
## 330   1983                0.874172185
## 331   1984                0.807228916
## 332   1985                0.929936306
## 333   1986                0.640243902
## 334   1987                1.000000000
## 335   1988                0.937500000
## 336   1989                0.784615385
## 337   1990                0.890625000
## 338   1991                0.616000000
## 339   1992                0.811965812
## 340   1993                0.909909910
## 341   1994                0.641025641
## 342   1995                0.771084337
## 343   1996                0.736263736
## 344   1997                0.788834951
## 345   1998                1.052631579
## 346   1999                1.000000000
## 347   2000                0.710843373
## 348   2001                1.035714286
## 349   2002                0.822784810
## 350   2003                1.101265823
## 351   2004                1.373076923
## 352   2005                1.128813559
## 353   2006                0.934285714
## 354   2007                0.760000000
## 355   2008                1.277777778
## 356   2009                1.216666667
## 357   2010                1.760439560
## 358   2011                1.160112360
## 359   2012                1.431937173
## 360   2013                1.311170213
## 361   2014                1.400000000
## 362   2015                1.333333333
## 363   2016                        NaN
## 364   2017                2.420258621
## 365   1966                1.050000000
## 366   1967                0.850000000
## 367   1968                1.000000000
## 368   1969                0.823529412
## 369   1970                0.750000000
## 370   1971                0.666666667
## 371   1972                1.214285714
## 372   1973                1.000000000
## 373   1974                1.142857143
## 374   1975                1.000000000
## 375   1976                1.090909091
## 376   1977                1.000000000
## 377   1978                0.888888889
## 378   1979                1.250000000
## 379   1980                1.111111111
## 380   1981                1.222222222
## 381   1982                0.777777778
## 382   1983                0.888888889
## 383   1984                0.900000000
## 384   1985                1.444444444
## 385   1986                1.444444444
## 386   1987                1.250000000
## 387   1988                1.250000000
## 388   1989                1.500000000
## 389   1990                1.333333333
## 390   1991                1.600000000
## 391   1992                1.000000000
## 392   1993                1.333333333
## 393   1994                0.666666667
## 394   1995                1.666666667
## 395   1996                1.333333333
## 396   1997                1.538461538
## 397   1998                1.333333333
## 398   1999                2.000000000
## 399   2000                1.000000000
## 400   2001                2.000000000
## 401   2002                1.000000000
## 402   2003                1.000000000
## 403   2004                1.375000000
## 404   2005                1.375000000
## 405   2006                1.285714286
## 406   2007                1.000000000
## 407   2008                2.000000000
## 408   2009                2.000000000
## 409   2010                1.888888889
## 410   2011                2.000000000
## 411   2012                2.100000000
## 412   2013                1.375000000
## 413   2014                2.000000000
## 414   2015                        NaN
## 415   2016                        NaN
## 416   2017                        NaN
## 417   1966                0.202177294
## 418   1967                0.654907975
## 419   1968                0.589595376
## 420   1969                0.773381295
## 421   1970                0.631305638
## 422   1971                0.917431193
## 423   1972                0.760820046
## 424   1973                0.675572519
## 425   1974                0.851351351
## 426   1975                0.858681023
## 427   1976                0.764976959
## 428   1977                0.595975232
## 429   1978                0.715396579
## 430   1979                0.444602273
## 431   1980                0.481781377
## 432   1981                0.565312843
## 433   1982                0.888135593
## 434   1983                0.907029478
## 435   1984                0.821548822
## 436   1985                1.397179788
## 437   1986                0.960639606
## 438   1987                1.454993835
## 439   1988                1.598155468
## 440   1989                1.571056063
## 441   1990                1.406207827
## 442   1991                1.145714286
## 443   1992                1.303988996
## 444   1993                1.164642375
## 445   1994                0.675555556
## 446   1995                1.136645963
## 447   1996                1.101515152
## 448   1997                0.428203477
## 449   1998                0.985849057
## 450   1999                0.668181818
## 451   2000                0.916537867
## 452   2001                0.827974277
## 453   2002                1.106557377
## 454   2003                0.987826087
## 455   2004                1.124929339
## 456   2005                1.254893964
## 457   2006                1.171981777
## 458   2007                1.321518987
## 459   2008                1.107969152
## 460   2009                1.523465704
## 461   2010                1.380770281
## 462   2011                1.784149014
## 463   2012                1.032096289
## 464   2013                1.588182228
## 465   2014                1.700000000
## 466   2015                1.750000000
## 467   2016                2.000000000
## 468   2017                2.350000000
## 469   1966                0.824873096
## 470   1967                0.925925926
## 471   1968                0.950310559
## 472   1969                0.759036145
## 473   1970                0.754777070
## 474   1971                1.208333333
## 475   1972                1.047826087
## 476   1973                1.047619048
## 477   1974                0.993788820
## 478   1975                0.899408284
## 479   1976                0.834394904
## 480   1977                0.884146341
## 481   1978                0.801282051
## 482   1979                0.557575758
## 483   1980                0.923976608
## 484   1981                0.919540230
## 485   1982                0.755434783
## 486   1983                0.978142077
## 487   1984                1.102150538
## 488   1985                1.213903743
## 489   1986                1.206349206
## 490   1987                1.267857143
## 491   1988                1.132075472
## 492   1989                1.233532934
## 493   1990                1.175000000
## 494   1991                1.174311927
## 495   1992                1.287128713
## 496   1993                1.226804124
## 497   1994                0.937500000
## 498   1995                1.268656716
## 499   1996                1.250000000
## 500   1997                1.258503401
## 501   1998                1.333333333
## 502   1999                1.229166667
## 503   2000                1.693877551
## 504   2001                1.611111111
## 505   2002                1.360655738
## 506   2003                1.717391304
## 507   2004                1.606589147
## 508   2005                1.837719298
## 509   2006                1.981530343
## 510   2007                1.647058824
## 511   2008                2.096774194
## 512   2009                2.250000000
## 513   2010                2.589595376
## 514   2011                2.366197183
## 515   2012                3.181818182
## 516   2013                1.276785714
## 517   2014                2.000000000
## 518   2015                1.000000000
## 519   2016                2.000000000
## 520   2017                1.825000000
## 521   1966                0.565610860
## 522   1967                0.664948454
## 523   1968                0.755681818
## 524   1969                0.605882353
## 525   1970                0.577639752
## 526   1971                0.598639456
## 527   1972                0.464052288
## 528   1973                0.700000000
## 529   1974                0.651515152
## 530   1975                0.715328467
## 531   1976                0.309523810
## 532   1977                0.715277778
## 533   1978                0.292857143
## 534   1979                0.419161677
## 535   1980                0.565217391
## 536   1981                0.680628272
## 537   1982                0.502538071
## 538   1983                0.648351648
## 539   1984                0.579881657
## 540   1985                0.849056604
## 541   1986                0.532467532
## 542   1987                0.890173410
## 543   1988                0.824324324
## 544   1989                0.937062937
## 545   1990                0.888000000
## 546   1991                0.350877193
## 547   1992                0.789115646
## 548   1993                0.818791946
## 549   1994                0.551401869
## 550   1995                0.680000000
## 551   1996                0.687500000
## 552   1997                0.528233151
## 553   1998                0.685185185
## 554   1999                0.813186813
## 555   2000                0.317073171
## 556   2001                0.807692308
## 557   2002                0.610389610
## 558   2003                0.946666667
## 559   2004                0.809672387
## 560   2005                0.842105263
## 561   2006                0.881091618
## 562   2007                0.880000000
## 563   2008                0.938775510
## 564   2009                1.000000000
## 565   2010                1.196335079
## 566   2011                1.009433962
## 567   2012                1.776470588
## 568   2013                0.721153846
## 569   2014                1.500000000
## 570   2015                        NaN
## 571   2016                        NaN
## 572   2017                2.240000000
## 573   1966                0.800000000
## 574   1967                1.000000000
## 575   1968                0.800000000
## 576   1969                0.777777778
## 577   1970                0.818181818
## 578   1971                0.727272727
## 579   1972                0.777777778
## 580   1973                0.875000000
## 581   1974                0.875000000
## 582   1975                0.857142857
## 583   1976                0.600000000
## 584   1977                0.833333333
## 585   1978                0.750000000
## 586   1979                0.400000000
## 587   1980                0.833333333
## 588   1981                0.857142857
## 589   1982                0.571428571
## 590   1983                0.888888889
## 591   1984                0.555555556
## 592   1985                1.125000000
## 593   1986                0.500000000
## 594   1987                1.000000000
## 595   1988                1.000000000
## 596   1989                1.000000000
## 597   1990                1.000000000
## 598   1991                0.500000000
## 599   1992                1.333333333
## 600   1993                1.000000000
## 601   1994                0.750000000
## 602   1995                0.750000000
## 603   1996                0.750000000
## 604   1997                0.512820513
## 605   1998                1.000000000
## 606   1999                0.750000000
## 607   2000                0.666666667
## 608   2001                1.000000000
## 609   2002                0.333333333
## 610   2003                1.000000000
## 611   2004                0.857142857
## 612   2005                0.851851852
## 613   2006                0.869565217
## 614   2007                1.000000000
## 615   2008                1.000000000
## 616   2009                1.000000000
## 617   2010                1.222222222
## 618   2011                0.857142857
## 619   2012                1.176470588
## 620   2013                0.812500000
## 621   2014                2.000000000
## 622   2015                1.000000000
## 623   2016                        NaN
## 624   2017                2.311363636
## 625   1966                0.845303867
## 626   1967                1.143097643
## 627   1968                1.086854460
## 628   1969                0.775362319
## 629   1970                0.944262295
## 630   1971                0.715789474
## 631   1972                1.255474453
## 632   1973                1.082758621
## 633   1974                1.089928058
## 634   1975                0.952380952
## 635   1976                0.955947137
## 636   1977                1.068840580
## 637   1978                0.786885246
## 638   1979                0.473684211
## 639   1980                0.965397924
## 640   1981                1.069948187
## 641   1982                0.573248408
## 642   1983                1.003546099
## 643   1984                0.909482759
## 644   1985                1.116591928
## 645   1986                0.635467980
## 646   1987                1.182648402
## 647   1988                0.938888889
## 648   1989                0.897142857
## 649   1990                0.993288591
## 650   1991                0.878260870
## 651   1992                1.108527132
## 652   1993                1.080645161
## 653   1994                0.770491803
## 654   1995                0.907692308
## 655   1996                0.931034483
## 656   1997                0.782778865
## 657   1998                0.951219512
## 658   1999                1.000000000
## 659   2000                1.184210526
## 660   2001                0.926829268
## 661   2002                0.692307692
## 662   2003                1.352941176
## 663   2004                1.109154930
## 664   2005                1.059431525
## 665   2006                1.110810811
## 666   2007                1.129032258
## 667   2008                1.185185185
## 668   2009                1.608695652
## 669   2010                1.600000000
## 670   2011                1.344827586
## 671   2012                1.507462687
## 672   2013                0.589743590
## 673   2014                1.666666667
## 674   2015                0.666666667
## 675   2016                1.333333333
## 676   2017                2.250000000
## 677   1966                0.666666667
## 678   1967                0.963302752
## 679   1968                1.059405941
## 680   1969                0.746835443
## 681   1970                0.863905325
## 682   1971                0.633540373
## 683   1972                1.276836158
## 684   1973                1.182926829
## 685   1974                0.882716049
## 686   1975                0.882051282
## 687   1976                0.717514124
## 688   1977                0.916666667
## 689   1978                0.776397516
## 690   1979                0.300546448
## 691   1980                0.964285714
## 692   1981                0.971014493
## 693   1982                0.608040201
## 694   1983                0.905555556
## 695   1984                1.010810811
## 696   1985                1.228723404
## 697   1986                0.689839572
## 698   1987                1.188888889
## 699   1988                0.916167665
## 700   1989                1.075144509
## 701   1990                0.993103448
## 702   1991                0.752066116
## 703   1992                1.125984252
## 704   1993                1.065040650
## 705   1994                0.695652174
## 706   1995                0.988636364
## 707   1996                0.963414634
## 708   1997                0.934343434
## 709   1998                0.985714286
## 710   1999                1.081081081
## 711   2000                0.970149254
## 712   2001                1.000000000
## 713   2002                0.741379310
## 714   2003                1.264150943
## 715   2004                1.275793651
## 716   2005                1.236453202
## 717   2006                1.039506173
## 718   2007                1.175000000
## 719   2008                1.621621622
## 720   2009                1.884615385
## 721   2010                2.314606742
## 722   2011                2.118852459
## 723   2012                2.387500000
## 724   2013                0.781250000
## 725   2014                2.000000000
## 726   2015                3.000000000
## 727   2016                2.000000000
## 728   2017                2.351612903
## 729   1966                0.510158014
## 730   1967                0.839912281
## 731   1968                0.800865801
## 732   1969                0.545893720
## 733   1970                0.740157480
## 734   1971                0.500000000
## 735   1972                1.011019284
## 736   1973                0.952631579
## 737   1974                0.802564103
## 738   1975                0.779702970
## 739   1976                0.691056911
## 740   1977                0.821882952
## 741   1978                0.840616967
## 742   1979                0.368421053
## 743   1980                0.868894602
## 744   1981                1.046296296
## 745   1982                0.340314136
## 746   1983                0.933842239
## 747   1984                1.036458333
## 748   1985                1.079670330
## 749   1986                0.576576577
## 750   1987                1.226190476
## 751   1988                1.247093023
## 752   1989                0.985074627
## 753   1990                1.126984127
## 754   1991                0.868525896
## 755   1992                1.017094017
## 756   1993                0.990000000
## 757   1994                0.676056338
## 758   1995                0.810606061
## 759   1996                0.912087912
## 760   1997                1.045606229
## 761   1998                1.055555556
## 762   1999                0.846153846
## 763   2000                0.906250000
## 764   2001                1.157894737
## 765   2002                0.550000000
## 766   2003                1.342105263
## 767   2004                0.828828829
## 768   2005                0.890850722
## 769   2006                0.705731394
## 770   2007                0.840740741
## 771   2008                1.328502415
## 772   2009                1.192660550
## 773   2010                1.372197309
## 774   2011                1.061002179
## 775   2012                1.568527919
## 776   2013                0.470588235
## 777   2014                1.000000000
## 778   2015                0.000000000
## 779   2016                1.000000000
## 780   2017                2.040000000
## 781   1966                0.658682635
## 782   1967                0.786377709
## 783   1968                0.684039088
## 784   1969                0.654618474
## 785   1970                0.751937984
## 786   1971                0.637362637
## 787   1972                0.996621622
## 788   1973                0.856250000
## 789   1974                0.765667575
## 790   1975                0.834733894
## 791   1976                0.780979827
## 792   1977                0.855932203
## 793   1978                0.720000000
## 794   1979                0.512048193
## 795   1980                0.776729560
## 796   1981                0.839650146
## 797   1982                0.535714286
## 798   1983                0.861842105
## 799   1984                0.916107383
## 800   1985                0.922818792
## 801   1986                0.489795918
## 802   1987                0.947194719
## 803   1988                0.903333333
## 804   1989                0.877192982
## 805   1990                0.882943144
## 806   1991                0.522058824
## 807   1992                0.939622642
## 808   1993                0.920152091
## 809   1994                0.646341463
## 810   1995                0.626050420
## 811   1996                0.790178571
## 812   1997                0.495718792
## 813   1998                0.790598291
## 814   1999                0.872448980
## 815   2000                0.675531915
## 816   2001                0.811428571
## 817   2002                0.572327044
## 818   2003                0.952941176
## 819   2004                0.894673123
## 820   2005                0.870636550
## 821   2006                0.701449275
## 822   2007                0.798994975
## 823   2008                0.935828877
## 824   2009                1.000000000
## 825   2010                1.159955874
## 826   2011                0.732197200
## 827   2012                1.350273651
## 828   2013                0.526112186
## 829   2014                1.000000000
## 830   2015                1.000000000
## 831   2016                1.500000000
## 832   2017                2.335714286
## 833   1966                0.674074074
## 834   1967                0.786666667
## 835   1968                0.736842105
## 836   1969                0.623529412
## 837   1970                0.616279070
## 838   1971                0.576271186
## 839   1972                1.000000000
## 840   1973                0.946808511
## 841   1974                0.938596491
## 842   1975                0.872727273
## 843   1976                0.926829268
## 844   1977                0.980198020
## 845   1978                0.850574713
## 846   1979                0.126436782
## 847   1980                0.888888889
## 848   1981                1.020408163
## 849   1982                0.553846154
## 850   1983                1.000000000
## 851   1984                0.705882353
## 852   1985                1.174418605
## 853   1986                0.579545455
## 854   1987                1.028037383
## 855   1988                0.963963964
## 856   1989                1.066037736
## 857   1990                1.054347826
## 858   1991                0.600000000
## 859   1992                0.950617284
## 860   1993                1.047619048
## 861   1994                0.705882353
## 862   1995                0.833333333
## 863   1996                0.757575758
## 864   1997                0.718085106
## 865   1998                0.907692308
## 866   1999                0.946666667
## 867   2000                0.703703704
## 868   2001                0.860000000
## 869   2002                0.745454545
## 870   2003                0.975609756
## 871   2004                0.702334630
## 872   2005                0.845315904
## 873   2006                0.684895833
## 874   2007                0.745098039
## 875   2008                1.380000000
## 876   2009                1.480769231
## 877   2010                1.710948905
## 878   2011                1.368131868
## 879   2012                1.582132565
## 880   2013                0.994871795
## 881   2014                2.000000000
## 882   2015                1.000000000
## 883   2016                2.000000000
## 884   2017                2.319736842
## 885   1966                0.234513274
## 886   1967                0.697674419
## 887   1968                0.287671233
## 888   1969                0.593023256
## 889   1970                0.626262626
## 890   1971                0.282258065
## 891   1972                0.845360825
## 892   1973                0.654970760
## 893   1974                0.607843137
## 894   1975                0.623036649
## 895   1976                0.550239234
## 896   1977                0.567415730
## 897   1978                0.471794872
## 898   1979                0.261306533
## 899   1980                0.502732240
## 900   1981                0.616580311
## 901   1982                0.500000000
## 902   1983                0.641304348
## 903   1984                0.613402062
## 904   1985                0.767441860
## 905   1986                0.692307692
## 906   1987                0.598958333
## 907   1988                0.608695652
## 908   1989                0.742268041
## 909   1990                0.791878173
## 910   1991                0.539267016
## 911   1992                0.780219780
## 912   1993                0.862944162
## 913   1994                0.657142857
## 914   1995                0.679558011
## 915   1996                0.756756757
## 916   1997                0.702947846
## 917   1998                0.759124088
## 918   1999                0.767857143
## 919   2000                0.875000000
## 920   2001                0.715231788
## 921   2002                0.685534591
## 922   2003                0.677215190
## 923   2004                0.850241546
## 924   2005                0.664580726
## 925   2006                0.618461538
## 926   2007                0.751552795
## 927   2008                0.824675325
## 928   2009                0.791304348
## 929   2010                1.022917831
## 930   2011                0.870195337
## 931   2012                1.019900498
## 932   2013                0.590429846
## 933   2014                0.947368421
## 934   2015                0.642857143
## 935   2016                1.318181818
## 936   2017                2.258039816
## 937   1966                0.210084034
## 938   1967                0.907692308
## 939   1968                0.520661157
## 940   1969                0.663461538
## 941   1970                0.675925926
## 942   1971                0.532467532
## 943   1972                0.947368421
## 944   1973                0.752380952
## 945   1974                0.554455446
## 946   1975                0.783783784
## 947   1976                0.658119658
## 948   1977                0.739837398
## 949   1978                0.750000000
## 950   1979                0.307017544
## 951   1980                0.608333333
## 952   1981                0.650000000
## 953   1982                0.326530612
## 954   1983                0.744827586
## 955   1984                0.764227642
## 956   1985                0.985074627
## 957   1986                0.750000000
## 958   1987                0.878571429
## 959   1988                0.797202797
## 960   1989                0.868613139
## 961   1990                0.860139860
## 962   1991                0.540145985
## 963   1992                0.784810127
## 964   1993                0.768786127
## 965   1994                0.602564103
## 966   1995                0.704819277
## 967   1996                0.611764706
## 968   1997                0.584760780
## 969   1998                0.762237762
## 970   1999                0.813253012
## 971   2000                0.807453416
## 972   2001                0.683870968
## 973   2002                0.658536585
## 974   2003                1.076388889
## 975   2004                1.005415162
## 976   2005                0.678861789
## 977   2006                0.881552076
## 978   2007                0.844311377
## 979   2008                0.901162791
## 980   2009                1.094117647
## 981   2010                1.179921038
## 982   2011                1.214285714
## 983   2012                1.644382022
## 984   2013                1.246606335
## 985   2014                1.150000000
## 986   2015                1.176470588
## 987   2016                1.500000000
## 988   2017                2.241599319
## 989   1966                0.479041916
## 990   1967                0.788888889
## 991   1968                0.672131148
## 992   1969                0.684563758
## 993   1970                0.675496689
## 994   1971                0.480392157
## 995   1972                1.107692308
## 996   1973                0.802816901
## 997   1974                0.705882353
## 998   1975                0.686746988
## 999   1976                0.639534884
## 1000  1977                0.645161290
## 1001  1978                0.539007092
## 1002  1979                0.143835616
## 1003  1980                0.600000000
## 1004  1981                0.730769231
## 1005  1982                0.432432432
## 1006  1983                0.743801653
## 1007  1984                0.620370370
## 1008  1985                0.819672131
## 1009  1986                0.627906977
## 1010  1987                0.762711864
## 1011  1988                0.664000000
## 1012  1989                0.808000000
## 1013  1990                0.841121495
## 1014  1991                0.564705882
## 1015  1992                0.835443038
## 1016  1993                0.761904762
## 1017  1994                0.646153846
## 1018  1995                0.761904762
## 1019  1996                0.620689655
## 1020  1997                0.582241630
## 1021  1998                0.787878788
## 1022  1999                0.846153846
## 1023  2000                0.693877551
## 1024  2001                0.871794872
## 1025  2002                0.542857143
## 1026  2003                0.914285714
## 1027  2004                0.755434783
## 1028  2005                0.858381503
## 1029  2006                0.678260870
## 1030  2007                0.636363636
## 1031  2008                0.828571429
## 1032  2009                0.900000000
## 1033  2010                1.142857143
## 1034  2011                0.858006042
## 1035  2012                1.313253012
## 1036  2013                0.755287009
## 1037  2014                1.333333333
## 1038  2015                0.500000000
## 1039  2016                2.142857143
## 1040  2017                2.476315789
## 1041  1966                0.376811594
## 1042  1967                0.875000000
## 1043  1968                0.528089888
## 1044  1969                0.477272727
## 1045  1970                0.626373626
## 1046  1971                0.474358974
## 1047  1972                0.785714286
## 1048  1973                0.742424242
## 1049  1974                0.727272727
## 1050  1975                0.767123288
## 1051  1976                0.718309859
## 1052  1977                0.791666667
## 1053  1978                0.738461538
## 1054  1979                0.160714286
## 1055  1980                0.753846154
## 1056  1981                0.750000000
## 1057  1982                0.433333333
## 1058  1983                0.786885246
## 1059  1984                0.606557377
## 1060  1985                0.983870968
## 1061  1986                0.796610169
## 1062  1987                0.830188679
## 1063  1988                0.785714286
## 1064  1989                0.918367347
## 1065  1990                1.000000000
## 1066  1991                0.611111111
## 1067  1992                0.864864865
## 1068  1993                0.851063830
## 1069  1994                0.600000000
## 1070  1995                0.800000000
## 1071  1996                0.727272727
## 1072  1997                0.906735751
## 1073  1998                0.804878049
## 1074  1999                0.926829268
## 1075  2000                0.743589744
## 1076  2001                0.818181818
## 1077  2002                0.764705882
## 1078  2003                1.028571429
## 1079  2004                0.828337875
## 1080  2005                0.851515152
## 1081  2006                0.889261745
## 1082  2007                0.851851852
## 1083  2008                1.000000000
## 1084  2009                0.962962963
## 1085  2010                1.231543624
## 1086  2011                0.952991453
## 1087  2012                1.217213115
## 1088  2013                1.235023041
## 1089  2014                1.500000000
## 1090  2015                1.000000000
## 1091  2016                1.000000000
## 1092  2017                2.134482759
## 1093  1966                0.674300254
## 1094  1967                1.099250936
## 1095  1968                0.876506024
## 1096  1969                0.863888889
## 1097  1970                0.860927152
## 1098  1971                0.694214876
## 1099  1972                1.154929577
## 1100  1973                1.130434783
## 1101  1974                1.147239264
## 1102  1975                1.260989011
## 1103  1976                1.370820669
## 1104  1977                1.294871795
## 1105  1978                1.159375000
## 1106  1979                1.230769231
## 1107  1980                1.313397129
## 1108  1981                0.993902439
## 1109  1982                0.978873239
## 1110  1983                1.421052632
## 1111  1984                1.720164609
## 1112  1985                1.694835681
## 1113  1986                1.277777778
## 1114  1987                0.763713080
## 1115  1988                1.283400810
## 1116  1989                1.142011834
## 1117  1990                1.593607306
## 1118  1991                1.206106870
## 1119  1992                1.927272727
## 1120  1993                1.711864407
## 1121  1994                1.250000000
## 1122  1995                1.576576577
## 1123  1996                1.611111111
## 1124  1997                1.911196911
## 1125  1998                1.704918033
## 1126  1999                2.111111111
## 1127  2000                0.000000000
## 1128  2001                1.808510638
## 1129  2002                0.628571429
## 1130  2003                2.277777778
## 1131  2004                2.079681275
## 1132  2005                2.221804511
## 1133  2006                2.009803922
## 1134  2007                1.266666667
## 1135  2008                2.107142857
## 1136  2009                2.375000000
## 1137  2010                2.938900204
## 1138  2011                2.301675978
## 1139  2012                2.733695652
## 1140  2013                1.679758308
## 1141  2014                2.000000000
## 1142  2015                1.571428571
## 1143  2016                2.090909091
## 1144  2017                2.509701493
## 1145  1966                0.458208955
## 1146  1967                0.493365501
## 1147  1968                0.428924598
## 1148  1969                0.293333333
## 1149  1970                0.498721228
## 1150  1971                0.217928903
## 1151  1972                0.581469649
## 1152  1973                0.488165680
## 1153  1974                0.707792208
## 1154  1975                0.341906203
## 1155  1976                0.440184049
## 1156  1977                0.340729002
## 1157  1978                0.237318841
## 1158  1979                0.304777595
## 1159  1980                0.765432099
## 1160  1981                0.561299852
## 1161  1982                0.359605911
## 1162  1983                0.523809524
## 1163  1984                0.521079258
## 1164  1985                0.632462687
## 1165  1986                0.290456432
## 1166  1987                0.696857671
## 1167  1988                0.623655914
## 1168  1989                0.284671533
## 1169  1990                0.589118199
## 1170  1991                0.385224274
## 1171  1992                0.610328638
## 1172  1993                0.591176471
## 1173  1994                0.353448276
## 1174  1995                0.453744493
## 1175  1996                0.442857143
## 1176  1997                0.463783220
## 1177  1998                0.541899441
## 1178  1999                0.595238095
## 1179  2000                0.704347826
## 1180  2001                0.723809524
## 1181  2002                0.723214286
## 1182  2003                0.775784753
## 1183  2004                0.628140704
## 1184  2005                0.979083665
## 1185  2006                0.905852417
## 1186  2007                0.595238095
## 1187  2008                0.970588235
## 1188  2009                1.127272727
## 1189  2010                1.256797583
## 1190  2011                1.025000000
## 1191  2012                1.111111111
## 1192  2013                0.750000000
## 1193  2014                1.000000000
## 1194  2015                1.000000000
## 1195  2016                        NaN
## 1196  2017                1.975000000
## 1197  1966                0.729048519
## 1198  1967                0.670048051
## 1199  1968                0.450206246
## 1200  1969                0.379063719
## 1201  1970                0.505778382
## 1202  1971                0.382043935
## 1203  1972                0.756493506
## 1204  1973                0.597200622
## 1205  1974                0.796346414
## 1206  1975                0.325816485
## 1207  1976                0.715379262
## 1208  1977                0.656494523
## 1209  1978                0.464586847
## 1210  1979                0.309370988
## 1211  1980                0.717248908
## 1212  1981                0.826062323
## 1213  1982                0.321960298
## 1214  1983                0.737916950
## 1215  1984                0.740136054
## 1216  1985                0.592867756
## 1217  1986                0.395989975
## 1218  1987                0.788593156
## 1219  1988                0.904723779
## 1220  1989                0.591836735
## 1221  1990                0.692686935
## 1222  1991                0.423640167
## 1223  1992                1.023478261
## 1224  1993                0.846884900
## 1225  1994                0.533733133
## 1226  1995                0.672752809
## 1227  1996                0.666141732
## 1228  1997                0.814040329
## 1229  1998                0.857644991
## 1230  1999                0.710280374
## 1231  2000                0.928039702
## 1232  2001                0.754929577
## 1233  2002                0.345930233
## 1234  2003                1.044776119
## 1235  2004                0.947876448
## 1236  2005                0.859331903
## 1237  2006                0.883710988
## 1238  2007                0.932773109
## 1239  2008                0.856287425
## 1240  2009                0.842857143
## 1241  2010                0.975581395
## 1242  2011                1.067975831
## 1243  2012                0.912698413
## 1244  2013                0.818181818
## 1245  2014                1.000000000
## 1246  2015                0.500000000
## 1247  2016                1.000000000
## 1248  2017                2.130000000
## 1249  1966                0.512820513
## 1250  1967                0.229813665
## 1251  1968                0.502793296
## 1252  1969                0.364640884
## 1253  1970                0.484076433
## 1254  1971                0.500000000
## 1255  1972                0.832487310
## 1256  1973                0.815573770
## 1257  1974                0.698979592
## 1258  1975                0.689189189
## 1259  1976                0.789473684
## 1260  1977                0.740112994
## 1261  1978                0.663507109
## 1262  1979                0.078651685
## 1263  1980                0.729007634
## 1264  1981                0.730569948
## 1265  1982                0.554347826
## 1266  1983                0.788732394
## 1267  1984                0.931937173
## 1268  1985                0.923529412
## 1269  1986                0.592857143
## 1270  1987                0.754098361
## 1271  1988                0.864864865
## 1272  1989                0.932330827
## 1273  1990                0.940000000
## 1274  1991                0.725490196
## 1275  1992                0.960526316
## 1276  1993                0.862068966
## 1277  1994                0.574468085
## 1278  1995                0.901639344
## 1279  1996                0.881355932
## 1280  1997                1.011235955
## 1281  1998                0.972727273
## 1282  1999                1.000000000
## 1283  2000                1.184615385
## 1284  2001                1.111111111
## 1285  2002                0.487804878
## 1286  2003                0.931818182
## 1287  2004                0.641618497
## 1288  2005                1.107558140
## 1289  2006                1.059375000
## 1290  2007                0.894736842
## 1291  2008                0.869565217
## 1292  2009                1.100000000
## 1293  2010                1.210191083
## 1294  2011                1.183544304
## 1295  2012                1.341935484
## 1296  2013                1.008196721
## 1297  2014                1.000000000
## 1298  2015                1.000000000
## 1299  2016                1.000000000
## 1300  2017                2.319565217
## 1301  1966                0.865900383
## 1302  1967                0.520618557
## 1303  1968                0.449704142
## 1304  1969                0.874730022
## 1305  1970                0.410071942
## 1306  1971                0.751572327
## 1307  1972                1.138504155
## 1308  1973                0.995708155
## 1309  1974                0.820512821
## 1310  1975                0.651063830
## 1311  1976                0.752577320
## 1312  1977                0.816513761
## 1313  1978                0.676923077
## 1314  1979                0.353503185
## 1315  1980                0.680250784
## 1316  1981                0.629090909
## 1317  1982                0.546610169
## 1318  1983                0.837944664
## 1319  1984                1.016736402
## 1320  1985                1.057591623
## 1321  1986                0.939068100
## 1322  1987                0.973821990
## 1323  1988                0.985000000
## 1324  1989                0.951724138
## 1325  1990                0.983333333
## 1326  1991                0.898989899
## 1327  1992                1.125000000
## 1328  1993                0.974683544
## 1329  1994                0.625000000
## 1330  1995                0.910714286
## 1331  1996                0.789473684
## 1332  1997                0.959692898
## 1333  1998                1.018867925
## 1334  1999                0.931034483
## 1335  2000                0.744680851
## 1336  2001                0.918367347
## 1337  2002                0.555555556
## 1338  2003                1.487804878
## 1339  2004                0.913043478
## 1340  2005                1.069284065
## 1341  2006                1.202643172
## 1342  2007                1.135135135
## 1343  2008                1.193548387
## 1344  2009                1.240000000
## 1345  2010                1.373456790
## 1346  2011                1.281456954
## 1347  2012                1.962264151
## 1348  2013                1.719512195
## 1349  2014                1.500000000
## 1350  2015                2.000000000
## 1351  2016                        NaN
## 1352  2017                2.109090909
## 1353  1966                0.707903780
## 1354  1967                0.908814590
## 1355  1968                0.917748918
## 1356  1969                0.755905512
## 1357  1970                0.795811518
## 1358  1971                0.786561265
## 1359  1972                1.154166667
## 1360  1973                1.075000000
## 1361  1974                0.929648241
## 1362  1975                1.031674208
## 1363  1976                1.118942731
## 1364  1977                0.993865031
## 1365  1978                1.021551724
## 1366  1979                0.197718631
## 1367  1980                1.019379845
## 1368  1981                0.787610619
## 1369  1982                0.783653846
## 1370  1983                0.940425532
## 1371  1984                1.165000000
## 1372  1985                0.966824645
## 1373  1986                1.142076503
## 1374  1987                0.955645161
## 1375  1988                1.248888889
## 1376  1989                1.231884058
## 1377  1990                1.210280374
## 1378  1991                1.151162791
## 1379  1992                1.391089109
## 1380  1993                1.312138728
## 1381  1994                1.045454545
## 1382  1995                1.057324841
## 1383  1996                1.195266272
## 1384  1997                1.233541234
## 1385  1998                1.123376623
## 1386  1999                1.254716981
## 1387  2000                0.244094488
## 1388  2001                1.256198347
## 1389  2002                1.276190476
## 1390  2003                1.463636364
## 1391  2004                1.369341564
## 1392  2005                1.307548928
## 1393  2006                1.026897214
## 1394  2007                1.292929293
## 1395  2008                1.070422535
## 1396  2009                1.206896552
## 1397  2010                1.673600000
## 1398  2011                1.519936204
## 1399  2012                1.355371901
## 1400  2013                2.465020576
## 1401  2014                2.285714286
## 1402  2015                2.500000000
## 1403  2016                2.000000000
## 1404  2017                2.539823009
## 1405  1966                0.859344894
## 1406  1967                0.986696231
## 1407  1968                0.784518828
## 1408  1969                0.542035398
## 1409  1970                0.713958810
## 1410  1971                0.821339950
## 1411  1972                0.971751412
## 1412  1973                0.995012469
## 1413  1974                1.009842520
## 1414  1975                0.797647059
## 1415  1976                0.751091703
## 1416  1977                0.732265446
## 1417  1978                0.602771363
## 1418  1979                0.764587525
## 1419  1980                0.567765568
## 1420  1981                1.046966732
## 1421  1982                0.590733591
## 1422  1983                0.804081633
## 1423  1984                0.973415133
## 1424  1985                0.954081633
## 1425  1986                0.860189573
## 1426  1987                0.879396985
## 1427  1988                1.101851852
## 1428  1989                1.207317073
## 1429  1990                1.150684932
## 1430  1991                1.050781250
## 1431  1992                1.153846154
## 1432  1993                1.080536913
## 1433  1994                0.851851852
## 1434  1995                1.216666667
## 1435  1996                1.200000000
## 1436  1997                0.816326531
## 1437  1998                1.142857143
## 1438  1999                1.333333333
## 1439  2000                1.400000000
## 1440  2001                0.909090909
## 1441  2002                1.117647059
## 1442  2003                1.294117647
## 1443  2004                1.219780220
## 1444  2005                1.302325581
## 1445  2006                1.325581395
## 1446  2007                1.500000000
## 1447  2008                1.666666667
## 1448  2009                1.000000000
## 1449  2010                2.041666667
## 1450  2011                1.800000000
## 1451  2012                1.850000000
## 1452  2013                1.166666667
## 1453  2014                        NaN
## 1454  2015                        NaN
## 1455  2016                        NaN
## 1456  2017                2.300000000
## 1457  1966                0.658959538
## 1458  1967                0.992877493
## 1459  1968                0.495948136
## 1460  1969                0.672676838
## 1461  1970                0.750798722
## 1462  1971                0.466666667
## 1463  1972                0.652373660
## 1464  1973                0.528487230
## 1465  1974                0.986363636
## 1466  1975                0.758747698
## 1467  1976                0.622916667
## 1468  1977                0.448140900
## 1469  1978                0.623552124
## 1470  1979                0.457463884
## 1471  1980                0.791608392
## 1472  1981                0.592592593
## 1473  1982                0.529118136
## 1474  1983                0.735652174
## 1475  1984                0.855822551
## 1476  1985                0.802946593
## 1477  1986                0.671378092
## 1478  1987                0.557894737
## 1479  1988                0.953376206
## 1480  1989                1.044247788
## 1481  1990                0.902313625
## 1482  1991                0.839857651
## 1483  1992                0.919540230
## 1484  1993                0.995283019
## 1485  1994                0.776119403
## 1486  1995                1.046728972
## 1487  1996                1.010752688
## 1488  1997                1.428571429
## 1489  1998                1.106382979
## 1490  1999                1.350000000
## 1491  2000                1.294117647
## 1492  2001                1.208333333
## 1493  2002                0.611111111
## 1494  2003                1.550264550
## 1495  2004                1.448101266
## 1496  2005                1.813253012
## 1497  2006                1.900000000
## 1498  2007                1.923076923
## 1499  2008                2.083333333
## 1500  2009                2.033333333
## 1501  2010                2.325581395
## 1502  2011                        NaN
## 1503  2012                        NaN
## 1504  2013                2.000000000
## 1505  2014                        NaN
## 1506  2015                        NaN
## 1507  2016                        NaN
## 1508  2017                1.750000000
## 1509  1966                0.720103426
## 1510  1967                1.021505376
## 1511  1968                0.934501142
## 1512  1969                0.526073620
## 1513  1970                0.865060241
## 1514  1971                0.698214286
## 1515  1972                0.696186962
## 1516  1973                0.494477485
## 1517  1974                0.957919345
## 1518  1975                0.710617627
## 1519  1976                0.569099379
## 1520  1977                0.945601075
## 1521  1978                0.787963611
## 1522  1979                0.790160047
## 1523  1980                1.080342796
## 1524  1981                0.929922136
## 1525  1982                1.079665738
## 1526  1983                1.394473839
## 1527  1984                0.960893855
## 1528  1985                1.214739517
## 1529  1986                0.924018030
## 1530  1987                1.199115044
## 1531  1988                1.362930078
## 1532  1989                1.268518519
## 1533  1990                0.832412523
## 1534  1991                0.868458274
## 1535  1992                1.410000000
## 1536  1993                1.118518519
## 1537  1994                0.942748092
## 1538  1995                1.078431373
## 1539  1996                0.601123596
## 1540  1997                0.897435897
## 1541  1998                1.181818182
## 1542  1999                1.065217391
## 1543  2000                0.235294118
## 1544  2001                0.680851064
## 1545  2002                1.370967742
## 1546  2003                1.260869565
## 1547  2004                0.723123732
## 1548  2005                1.043041607
## 1549  2006                0.971713810
## 1550  2007                1.195652174
## 1551  2008                0.871794872
## 1552  2009                1.142857143
## 1553  2010                0.880308880
## 1554  2011                0.694444444
## 1555  2012                0.982758621
## 1556  2013                0.553846154
## 1557  2014                        NaN
## 1558  2015                        NaN
## 1559  2016                        NaN
## 1560  2017                2.166666667
## 1561  1966                0.484198646
## 1562  1967                0.652941176
## 1563  1968                0.416324134
## 1564  1969                0.601081081
## 1565  1970                0.709771796
## 1566  1971                0.558007566
## 1567  1972                0.802036199
## 1568  1973                0.297969876
## 1569  1974                0.833952255
## 1570  1975                0.704907975
## 1571  1976                0.453915454
## 1572  1977                0.513200258
## 1573  1978                0.698973042
## 1574  1979                0.427684668
## 1575  1980                0.766685052
## 1576  1981                0.665178571
## 1577  1982                0.599866844
## 1578  1983                0.843909555
## 1579  1984                0.548288973
## 1580  1985                0.702814570
## 1581  1986                0.448215840
## 1582  1987                0.460251046
## 1583  1988                0.839963834
## 1584  1989                0.651813472
## 1585  1990                0.659893048
## 1586  1991                0.594237695
## 1587  1992                0.818181818
## 1588  1993                0.714697406
## 1589  1994                0.668593449
## 1590  1995                0.656470588
## 1591  1996                0.460937500
## 1592  1997                0.608940514
## 1593  1998                0.879069767
## 1594  1999                0.795454545
## 1595  2000                0.320000000
## 1596  2001                0.544502618
## 1597  2002                0.601895735
## 1598  2003                1.378446115
## 1599  2004                0.819430315
## 1600  2005                0.707703384
## 1601  2006                0.624786325
## 1602  2007                0.678160920
## 1603  2008                0.797297297
## 1604  2009                0.756756757
## 1605  2010                1.037701975
## 1606  2011                0.975510204
## 1607  2012                1.192660550
## 1608  2013                0.955223881
## 1609  2014                1.000000000
## 1610  2015                        NaN
## 1611  2016                        NaN
## 1612  2017                2.186746988
## 1613  1966                0.738853503
## 1614  1967                1.097729516
## 1615  1968                0.950304260
## 1616  1969                0.928786359
## 1617  1970                0.645484950
## 1618  1971                0.799525504
## 1619  1972                0.964083176
## 1620  1973                0.464028777
## 1621  1974                1.154228856
## 1622  1975                0.661637931
## 1623  1976                0.912218268
## 1624  1977                1.091772152
## 1625  1978                0.920997921
## 1626  1979                0.967741935
## 1627  1980                0.922213312
## 1628  1981                1.383132530
## 1629  1982                1.209321341
## 1630  1983                1.248479583
## 1631  1984                0.957798165
## 1632  1985                1.410714286
## 1633  1986                1.060000000
## 1634  1987                1.517399267
## 1635  1988                1.292919496
## 1636  1989                1.614634146
## 1637  1990                1.125456760
## 1638  1991                1.314037627
## 1639  1992                1.501557632
## 1640  1993                1.240837696
## 1641  1994                0.892682927
## 1642  1995                1.125683060
## 1643  1996                1.025723473
## 1644  1997                1.080125687
## 1645  1998                1.448275862
## 1646  1999                0.785714286
## 1647  2000                1.070967742
## 1648  2001                1.251497006
## 1649  2002                1.359116022
## 1650  2003                1.653846154
## 1651  2004                0.962942167
## 1652  2005                1.417046194
## 1653  2006                1.316171139
## 1654  2007                1.450000000
## 1655  2008                1.515463918
## 1656  2009                1.215909091
## 1657  2010                1.259615385
## 1658  2011                1.047957371
## 1659  2012                1.446875000
## 1660  2013                0.843220339
## 1661  2014                2.000000000
## 1662  2015                0.000000000
## 1663  2016                2.500000000
## 1664  2017                2.311428571
## 1665  1966                0.322485207
## 1666  1967                0.801111111
## 1667  1968                0.376126126
## 1668  1969                0.330672748
## 1669  1970                0.307228916
## 1670  1971                0.214929215
## 1671  1972                0.468973747
## 1672  1973                0.307873090
## 1673  1974                0.400662252
## 1674  1975                0.486363636
## 1675  1976                0.271510516
## 1676  1977                0.507223114
## 1677  1978                0.659744409
## 1678  1979                0.434782609
## 1679  1980                0.416452442
## 1680  1981                0.230664858
## 1681  1982                0.456790123
## 1682  1983                0.488145049
## 1683  1984                0.522309711
## 1684  1985                0.417033774
## 1685  1986                0.480938416
## 1686  1987                0.383610451
## 1687  1988                0.631828979
## 1688  1989                0.645466847
## 1689  1990                0.434343434
## 1690  1991                0.419801980
## 1691  1992                0.680244399
## 1692  1993                0.512562814
## 1693  1994                0.307917889
## 1694  1995                0.515923567
## 1695  1996                0.498327759
## 1696  1997                0.633226610
## 1697  1998                0.583673469
## 1698  1999                0.428571429
## 1699  2000                0.242009132
## 1700  2001                0.548523207
## 1701  2002                0.584415584
## 1702  2003                0.719512195
## 1703  2004                0.626953125
## 1704  2005                0.677083333
## 1705  2006                0.829823563
## 1706  2007                0.994011976
## 1707  2008                0.961783439
## 1708  2009                1.500000000
## 1709  2010                1.107117182
## 1710  2011                1.249420849
## 1711  2012                1.763113367
## 1712  2013                1.170301142
## 1713  2014                1.666666667
## 1714  2015                1.100000000
## 1715  2016                1.200000000
## 1716  2017                2.125294118
## 1717  1966                0.575144509
## 1718  1967                0.695970696
## 1719  1968                0.401179941
## 1720  1969                0.591687042
## 1721  1970                0.422651934
## 1722  1971                0.503703704
## 1723  1972                0.501501502
## 1724  1973                0.412103746
## 1725  1974                0.625000000
## 1726  1975                0.786290323
## 1727  1976                0.632432432
## 1728  1977                0.605381166
## 1729  1978                0.527196653
## 1730  1979                0.550000000
## 1731  1980                0.741477273
## 1732  1981                0.707602339
## 1733  1982                0.421965318
## 1734  1983                0.705263158
## 1735  1984                0.653295129
## 1736  1985                0.302052786
## 1737  1986                0.700729927
## 1738  1987                0.476265823
## 1739  1988                0.726618705
## 1740  1989                0.783475783
## 1741  1990                0.758278146
## 1742  1991                0.439215686
## 1743  1992                0.891566265
## 1744  1993                0.675126904
## 1745  1994                0.547058824
## 1746  1995                0.603351955
## 1747  1996                0.643678161
## 1748  1997                0.682510664
## 1749  1998                0.647058824
## 1750  1999                0.514705882
## 1751  2000                0.366197183
## 1752  2001                0.581395349
## 1753  2002                0.651428571
## 1754  2003                0.890710383
## 1755  2004                0.773968623
## 1756  2005                0.795479603
## 1757  2006                0.817739976
## 1758  2007                1.086705202
## 1759  2008                1.018292683
## 1760  2009                1.063694268
## 1761  2010                1.255813953
## 1762  2011                1.075539568
## 1763  2012                1.263381995
## 1764  2013                1.560377358
## 1765  2014                1.090909091
## 1766  2015                1.416666667
## 1767  2016                1.461538462
## 1768  2017                2.345544554
## 1769  1966                0.210104744
## 1770  1967                0.785869565
## 1771  1968                0.685517970
## 1772  1969                0.633723892
## 1773  1970                0.392028254
## 1774  1971                0.606183477
## 1775  1972                0.580750408
## 1776  1973                0.619852165
## 1777  1974                0.870357866
## 1778  1975                0.618709677
## 1779  1976                0.557153671
## 1780  1977                0.720309206
## 1781  1978                0.674202128
## 1782  1979                0.348180678
## 1783  1980                0.567680382
## 1784  1981                0.767962309
## 1785  1982                0.671865973
## 1786  1983                1.022504328
## 1787  1984                0.561081081
## 1788  1985                0.690058480
## 1789  1986                0.749866382
## 1790  1987                0.754038562
## 1791  1988                0.898037077
## 1792  1989                0.992029756
## 1793  1990                0.978615644
## 1794  1991                0.795140806
## 1795  1992                1.297164667
## 1796  1993                0.982042649
## 1797  1994                0.904109589
## 1798  1995                0.956800934
## 1799  1996                1.161327231
## 1800  1997                1.119097782
## 1801  1998                1.115776081
## 1802  1999                0.579570688
## 1803  2000                0.687987520
## 1804  2001                1.018223235
## 1805  2002                0.974497682
## 1806  2003                1.349358974
## 1807  2004                0.995218072
## 1808  2005                0.944326931
## 1809  2006                1.126963351
## 1810  2007                1.151542650
## 1811  2008                1.304889741
## 1812  2009                1.549462366
## 1813  2010                1.562506286
## 1814  2011                2.510749348
## 1815  2012                1.867647059
## 1816  2013                1.728650539
## 1817  2014                2.666666667
## 1818  2015                2.365384615
## 1819  2016                2.886363636
## 1820  2017                2.717919075
## 1821  1966                0.743761996
## 1822  1967                0.779151943
## 1823  1968                0.798716921
## 1824  1969                0.596431606
## 1825  1970                0.731728289
## 1826  1971                0.815476190
## 1827  1972                0.814011676
## 1828  1973                0.697600000
## 1829  1974                0.981199642
## 1830  1975                0.827711942
## 1831  1976                0.786483839
## 1832  1977                0.697612732
## 1833  1978                0.670886076
## 1834  1979                0.519373454
## 1835  1980                0.572734830
## 1836  1981                0.905763952
## 1837  1982                0.857397504
## 1838  1983                0.984888889
## 1839  1984                0.995016611
## 1840  1985                1.120462046
## 1841  1986                0.416800000
## 1842  1987                0.819956616
## 1843  1988                0.514161220
## 1844  1989                0.857493857
## 1845  1990                0.845890411
## 1846  1991                0.661259542
## 1847  1992                1.099909173
## 1848  1993                0.841889117
## 1849  1994                0.513481829
## 1850  1995                0.638922889
## 1851  1996                0.828539823
## 1852  1997                1.215263376
## 1853  1998                0.955040872
## 1854  1999                1.123924269
## 1855  2000                0.644820296
## 1856  2001                1.081419624
## 1857  2002                1.590336134
## 1858  2003                1.028446389
## 1859  2004                0.949746193
## 1860  2005                0.832530765
## 1861  2006                1.091038003
## 1862  2007                1.267241379
## 1863  2008                1.309309309
## 1864  2009                1.027027027
## 1865  2010                1.570987654
## 1866  2011                1.527737752
## 1867  2012                2.357971014
## 1868  2013                2.152811736
## 1869  2014                1.846153846
## 1870  2015                1.500000000
## 1871  2016                3.111111111
## 1872  2017                2.994339623
## 1873  1966                0.803967328
## 1874  1967                0.994407159
## 1875  1968                0.647331787
## 1876  1969                0.541273585
## 1877  1970                0.516823688
## 1878  1971                0.787050360
## 1879  1972                1.116493656
## 1880  1973                0.639087019
## 1881  1974                1.004005340
## 1882  1975                0.615384615
## 1883  1976                0.738525730
## 1884  1977                0.887186630
## 1885  1978                0.648183556
## 1886  1979                0.973437500
## 1887  1980                0.983568075
## 1888  1981                1.081987578
## 1889  1982                0.918395574
## 1890  1983                0.884415584
## 1891  1984                1.025850340
## 1892  1985                1.064873418
## 1893  1986                1.086355786
## 1894  1987                1.327205882
## 1895  1988                1.159049360
## 1896  1989                1.267223382
## 1897  1990                1.176119403
## 1898  1991                1.111111111
## 1899  1992                1.290540541
## 1900  1993                1.233333333
## 1901  1994                0.869318182
## 1902  1995                1.098684211
## 1903  1996                0.929936306
## 1904  1997                0.849236641
## 1905  1998                0.886792453
## 1906  1999                1.173913043
## 1907  2000                1.263157895
## 1908  2001                1.180327869
## 1909  2002                1.481012658
## 1910  2003                1.654320988
## 1911  2004                1.591317365
## 1912  2005                1.570075758
## 1913  2006                1.723404255
## 1914  2007                1.585365854
## 1915  2008                1.741935484
## 1916  2009                2.151515152
## 1917  2010                1.951871658
## 1918  2011                2.858585859
## 1919  2012                1.684210526
## 1920  2013                1.147826087
## 1921  2014                2.000000000
## 1922  2015                2.000000000
## 1923  2016                1.333333333
## 1924  2017                2.282926829
## 1925  1966                0.802469136
## 1926  1967                1.000000000
## 1927  1968                0.957142857
## 1928  1969                0.754601227
## 1929  1970                0.764705882
## 1930  1971                0.750000000
## 1931  1972                0.881889764
## 1932  1973                0.860139860
## 1933  1974                0.991666667
## 1934  1975                1.007936508
## 1935  1976                1.075471698
## 1936  1977                1.134453782
## 1937  1978                0.817307692
## 1938  1979                1.163265306
## 1939  1980                1.064327485
## 1940  1981                1.071428571
## 1941  1982                0.810457516
## 1942  1983                1.008064516
## 1943  1984                1.224806202
## 1944  1985                1.284482759
## 1945  1986                1.443396226
## 1946  1987                1.520000000
## 1947  1988                1.375000000
## 1948  1989                1.504201681
## 1949  1990                1.465116279
## 1950  1991                1.548387097
## 1951  1992                1.692307692
## 1952  1993                1.555555556
## 1953  1994                1.071428571
## 1954  1995                1.733333333
## 1955  1996                1.727272727
## 1956  1997                2.337662338
## 1957  1998                1.888888889
## 1958  1999                2.250000000
## 1959  2000                1.727272727
## 1960  2001                1.461538462
## 1961  2002                1.600000000
## 1962  2003                1.923076923
## 1963  2004                1.785714286
## 1964  2005                2.068493151
## 1965  2006                2.162393162
## 1966  2007                2.125000000
## 1967  2008                2.285714286
## 1968  2009                2.500000000
## 1969  2010                2.931034483
## 1970  2011                2.500000000
## 1971  2012                2.600000000
## 1972  2013                1.750000000
## 1973  2014                        NaN
## 1974  2015                        NaN
## 1975  2016                        NaN
## 1976  2017                1.853846154
## 1977  1966                0.583333333
## 1978  1967                0.743961353
## 1979  1968                0.573170732
## 1980  1969                0.380566802
## 1981  1970                0.535856574
## 1982  1971                0.407792208
## 1983  1972                0.800407332
## 1984  1973                0.364089776
## 1985  1974                0.883990719
## 1986  1975                0.338870432
## 1987  1976                0.887201735
## 1988  1977                0.636363636
## 1989  1978                0.489510490
## 1990  1979                0.465447154
## 1991  1980                0.627906977
## 1992  1981                0.641958042
## 1993  1982                0.410714286
## 1994  1983                0.806691450
## 1995  1984                0.905829596
## 1996  1985                1.136490251
## 1997  1986                1.008264463
## 1998  1987                1.075675676
## 1999  1988                0.972125436
## 2000  1989                0.990243902
## 2001  1990                0.834821429
## 2002  1991                0.993243243
## 2003  1992                1.010563380
## 2004  1993                0.952789700
## 2005  1994                0.628318584
## 2006  1995                0.940397351
## 2007  1996                0.888000000
## 2008  1997                1.045891142
## 2009  1998                0.988095238
## 2010  1999                1.166666667
## 2011  2000                1.254545455
## 2012  2001                1.193548387
## 2013  2002                0.987179487
## 2014  2003                1.301886792
## 2015  2004                1.200968523
## 2016  2005                1.447368421
## 2017  2006                1.475452196
## 2018  2007                1.400000000
## 2019  2008                1.500000000
## 2020  2009                1.750000000
## 2021  2010                1.928571429
## 2022  2011                1.900000000
## 2023  2012                2.000000000
## 2024  2013                1.153846154
## 2025  2014                2.000000000
## 2026  2015                2.000000000
## 2027  2016                        NaN
## 2028  2017                2.450000000
## 2029  1966                0.228758170
## 2030  1967                0.677867903
## 2031  1968                0.500613497
## 2032  1969                0.554669704
## 2033  1970                0.439790576
## 2034  1971                0.787182588
## 2035  1972                0.323910483
## 2036  1973                0.416208791
## 2037  1974                0.667574932
## 2038  1975                0.456043956
## 2039  1976                0.284457478
## 2040  1977                0.576972833
## 2041  1978                0.350069735
## 2042  1979                0.721153846
## 2043  1980                0.734193548
## 2044  1981                0.653553299
## 2045  1982                0.785960875
## 2046  1983                0.628368794
## 2047  1984                1.034263959
## 2048  1985                0.755905512
## 2049  1986                0.402597403
## 2050  1987                0.715394567
## 2051  1988                0.599755202
## 2052  1989                0.976000000
## 2053  1990                0.764179104
## 2054  1991                0.599018003
## 2055  1992                1.027331190
## 2056  1993                0.672566372
## 2057  1994                0.389830508
## 2058  1995                1.089219331
## 2059  1996                0.838150289
## 2060  1997                0.412566238
## 2061  1998                0.711453744
## 2062  1999                0.619834711
## 2063  2000                0.641393443
## 2064  2001                0.851351351
## 2065  2002                0.965844402
## 2066  2003                1.387159533
## 2067  2004                0.653007671
## 2068  2005                1.394990762
## 2069  2006                0.918057996
## 2070  2007                0.942430704
## 2071  2008                1.079002079
## 2072  2009                1.002087683
## 2073  2010                1.341083413
## 2074  2011                1.034155034
## 2075  2012                1.457293035
## 2076  2013                1.274741507
## 2077  2014                1.400000000
## 2078  2015                1.636363636
## 2079  2016                1.647058824
## 2080  2017                2.310666667
## 2081  1966                0.795270270
## 2082  1967                0.823056300
## 2083  1968                0.717048711
## 2084  1969                0.574898785
## 2085  1970                0.534133533
## 2086  1971                0.528228925
## 2087  1972                0.686823679
## 2088  1973                0.390374332
## 2089  1974                0.999384994
## 2090  1975                0.603276353
## 2091  1976                0.578655579
## 2092  1977                0.728299224
## 2093  1978                0.778021978
## 2094  1979                0.354216867
## 2095  1980                0.610120759
## 2096  1981                0.758797654
## 2097  1982                0.595806218
## 2098  1983                0.941269841
## 2099  1984                0.484177215
## 2100  1985                0.734968354
## 2101  1986                0.474730737
## 2102  1987                0.989473684
## 2103  1988                0.590570720
## 2104  1989                0.489903424
## 2105  1990                0.677820268
## 2106  1991                0.321138211
## 2107  1992                0.756487026
## 2108  1993                0.938494168
## 2109  1994                0.308176101
## 2110  1995                0.505776637
## 2111  1996                0.387387387
## 2112  1997                0.820553360
## 2113  1998                1.075806452
## 2114  1999                0.534693878
## 2115  2000                0.379716981
## 2116  2001                0.540425532
## 2117  2002                0.503267974
## 2118  2003                1.377176015
## 2119  2004                0.841027875
## 2120  2005                1.043896714
## 2121  2006                1.015869199
## 2122  2007                1.257575758
## 2123  2008                1.302395210
## 2124  2009                1.249275362
## 2125  2010                1.173913043
## 2126  2011                0.956140351
## 2127  2012                1.205218618
## 2128  2013                0.502237136
## 2129  2014                1.200000000
## 2130  2015                1.400000000
## 2131  2016                1.000000000
## 2132  2017                1.800000000
## 2133  1966                0.877761414
## 2134  1967                1.106959707
## 2135  1968                0.917501928
## 2136  1969                0.722060958
## 2137  1970                0.767576510
## 2138  1971                1.031879195
## 2139  1972                0.921944035
## 2140  1973                0.337391304
## 2141  1974                1.092443140
## 2142  1975                0.910801964
## 2143  1976                1.063011457
## 2144  1977                1.007788162
## 2145  1978                0.889559965
## 2146  1979                0.724949563
## 2147  1980                0.979698756
## 2148  1981                1.016613419
## 2149  1982                0.865965834
## 2150  1983                1.171991842
## 2151  1984                0.762071379
## 2152  1985                0.905135521
## 2153  1986                0.620985011
## 2154  1987                1.167240193
## 2155  1988                0.967948718
## 2156  1989                1.250421585
## 2157  1990                1.103571429
## 2158  1991                0.741258741
## 2159  1992                1.358387800
## 2160  1993                1.713933416
## 2161  1994                0.878164557
## 2162  1995                1.001869159
## 2163  1996                0.905579399
## 2164  1997                1.387030365
## 2165  1998                1.228346457
## 2166  1999                1.474509804
## 2167  2000                0.920792079
## 2168  2001                1.164179104
## 2169  2002                1.640926641
## 2170  2003                1.381868132
## 2171  2004                1.370973451
## 2172  2005                1.372940764
## 2173  2006                1.157894737
## 2174  2007                1.586956522
## 2175  2008                1.669811321
## 2176  2009                1.308411215
## 2177  2010                1.833120205
## 2178  2011                1.317149569
## 2179  2012                1.154347826
## 2180  2013                1.032442748
## 2181  2014                0.142857143
## 2182  2015                1.166666667
## 2183  2016                1.750000000
## 2184  2017                1.911111111
## 2185  1966                0.916030534
## 2186  1967                0.954761905
## 2187  1968                1.052083333
## 2188  1969                0.703324808
## 2189  1970                0.788834951
## 2190  1971                0.679245283
## 2191  1972                0.945000000
## 2192  1973                0.769423559
## 2193  1974                0.917847025
## 2194  1975                0.777126100
## 2195  1976                0.830188679
## 2196  1977                0.887931034
## 2197  1978                0.685185185
## 2198  1979                0.905405405
## 2199  1980                0.840193705
## 2200  1981                0.876213592
## 2201  1982                0.675126904
## 2202  1983                0.834975369
## 2203  1984                1.002538071
## 2204  1985                1.015113350
## 2205  1986                0.925373134
## 2206  1987                0.971428571
## 2207  1988                0.877729258
## 2208  1989                0.963636364
## 2209  1990                0.965753425
## 2210  1991                0.923076923
## 2211  1992                1.000000000
## 2212  1993                0.971428571
## 2213  1994                0.696969697
## 2214  1995                1.000000000
## 2215  1996                1.000000000
## 2216  1997                1.111111111
## 2217  1998                1.037037037
## 2218  1999                1.090909091
## 2219  2000                0.582352941
## 2220  2001                1.100000000
## 2221  2002                1.000000000
## 2222  2003                1.392857143
## 2223  2004                1.347222222
## 2224  2005                1.292452830
## 2225  2006                1.206278027
## 2226  2007                1.411764706
## 2227  2008                1.466666667
## 2228  2009                1.428571429
## 2229  2010                2.034188034
## 2230  2011                1.630136986
## 2231  2012                2.428571429
## 2232  2013                1.222222222
## 2233  2014                1.000000000
## 2234  2015                2.000000000
## 2235  2016                2.000000000
## 2236  2017                2.242500000
## 2237  1966                0.500000000
## 2238  1967                0.480000000
## 2239  1968                0.358974359
## 2240  1969                0.466666667
## 2241  1970                0.333333333
## 2242  1971                0.481481481
## 2243  1972                0.350000000
## 2244  1973                0.375000000
## 2245  1974                0.451612903
## 2246  1975                0.300000000
## 2247  1976                0.450000000
## 2248  1977                0.631578947
## 2249  1978                0.666666667
## 2250  1979                0.777777778
## 2251  1980                0.285714286
## 2252  1981                0.750000000
## 2253  1982                0.400000000
## 2254  1983                0.473684211
## 2255  1984                0.428571429
## 2256  1985                0.500000000
## 2257  1986                0.600000000
## 2258  1987                0.285714286
## 2259  1988                0.461538462
## 2260  1989                0.428571429
## 2261  1990                0.582608696
## 2262  1991                0.412844037
## 2263  1992                0.632911392
## 2264  1993                1.000000000
## 2265  1994                        NaN
## 2266  1995                0.000000000
## 2267  1996                1.000000000
## 2268  1997                0.000000000
## 2269  1998                0.000000000
## 2270  1999                0.269230769
## 2271  2000                0.369230769
## 2272  2001                0.594594595
## 2273  2002                0.343750000
## 2274  2003                2.921568627
## 2275  2004                0.553191489
## 2276  2005                0.538461538
## 2277  2006                0.720000000
## 2278  2007                2.192307692
## 2279  2008                2.574468085
## 2280  2009                1.170731707
## 2281  2010                1.472222222
## 2282  2011                2.093750000
## 2283  2012                2.666666667
## 2284  2013                1.777777778
## 2285  2014                1.600000000
## 2286  2015                1.000000000
## 2287  2016                1.500000000
## 2288  2017                1.000000000
## 2289  1966                0.509803922
## 2290  1967                0.491228070
## 2291  1968                0.487179487
## 2292  1969                0.455284553
## 2293  1970                0.352941176
## 2294  1971                0.480519481
## 2295  1972                0.361111111
## 2296  1973                0.400000000
## 2297  1974                0.448275862
## 2298  1975                0.315789474
## 2299  1976                0.448275862
## 2300  1977                0.649484536
## 2301  1978                0.645833333
## 2302  1979                0.765432099
## 2303  1980                0.305882353
## 2304  1981                0.500000000
## 2305  1982                0.400000000
## 2306  1983                0.455696203
## 2307  1984                0.388888889
## 2308  1985                0.492753623
## 2309  1986                0.619047619
## 2310  1987                0.272727273
## 2311  1988                0.438596491
## 2312  1989                0.479069767
## 2313  1990                0.578947368
## 2314  1991                0.415770609
## 2315  1992                0.744027304
## 2316  1993                1.000000000
## 2317  1994                0.333333333
## 2318  1995                0.800000000
## 2319  1996                1.000000000
## 2320  1997                0.666666667
## 2321  1998                0.400000000
## 2322  1999                0.253456221
## 2323  2000                0.369318182
## 2324  2001                0.576687117
## 2325  2002                0.500000000
## 2326  2003                2.946564885
## 2327  2004                0.536000000
## 2328  2005                0.551724138
## 2329  2006                0.743801653
## 2330  2007                2.183823529
## 2331  2008                2.567164179
## 2332  2009                1.180952381
## 2333  2010                1.446280992
## 2334  2011                2.160000000
## 2335  2012                2.647727273
## 2336  2013                1.739130435
## 2337  2014                1.488888889
## 2338  2015                1.076923077
## 2339  2016                1.440000000
## 2340  2017                1.032258065
## 2341  1966                0.515625000
## 2342  1967                0.485294118
## 2343  1968                0.436464088
## 2344  1969                0.450000000
## 2345  1970                0.357142857
## 2346  1971                0.481481481
## 2347  1972                0.361702128
## 2348  1973                0.379310345
## 2349  1974                0.442857143
## 2350  1975                0.314814815
## 2351  1976                0.456140351
## 2352  1977                0.660000000
## 2353  1978                0.651162791
## 2354  1979                0.736842105
## 2355  1980                0.303030303
## 2356  1981                0.466666667
## 2357  1982                0.423076923
## 2358  1983                0.478260870
## 2359  1984                0.380952381
## 2360  1985                0.500000000
## 2361  1986                0.615384615
## 2362  1987                0.277777778
## 2363  1988                0.421052632
## 2364  1989                0.466666667
## 2365  1990                0.582089552
## 2366  1991                0.418604651
## 2367  1992                0.635714286
## 2368  1993                1.000000000
## 2369  1994                1.000000000
## 2370  1995                1.000000000
## 2371  1996                1.000000000
## 2372  1997                1.000000000
## 2373  1998                0.000000000
## 2374  1999                0.257142857
## 2375  2000                0.368421053
## 2376  2001                0.573170732
## 2377  2002                0.346153846
## 2378  2003                2.949367089
## 2379  2004                0.537037037
## 2380  2005                0.553571429
## 2381  2006                0.750000000
## 2382  2007                2.189655172
## 2383  2008                2.545454545
## 2384  2009                1.176470588
## 2385  2010                1.481481481
## 2386  2011                2.166666667
## 2387  2012                2.562500000
## 2388  2013                1.789473684
## 2389  2014                1.483870968
## 2390  2015                1.111111111
## 2391  2016                1.478260870
## 2392  2017                1.062500000
## 2393  1966                0.509803922
## 2394  1967                0.481481481
## 2395  1968                0.478260870
## 2396  1969                0.461538462
## 2397  1970                0.352941176
## 2398  1971                0.485714286
## 2399  1972                0.380000000
## 2400  1973                0.372549020
## 2401  1974                0.450980392
## 2402  1975                0.325000000
## 2403  1976                0.476190476
## 2404  1977                0.638297872
## 2405  1978                0.648648649
## 2406  1979                0.758064516
## 2407  1980                0.297297297
## 2408  1981                0.468750000
## 2409  1982                0.413793103
## 2410  1983                0.478260870
## 2411  1984                0.380952381
## 2412  1985                0.500000000
## 2413  1986                0.619047619
## 2414  1987                0.263157895
## 2415  1988                0.400000000
## 2416  1989                0.416666667
## 2417  1990                0.575221239
## 2418  1991                0.413461538
## 2419  1992                0.638297872
## 2420  1993                1.000000000
## 2421  1994                1.000000000
## 2422  1995                1.000000000
## 2423  1996                0.000000000
## 2424  1997                        NaN
## 2425  1998                        NaN
## 2426  1999                0.250000000
## 2427  2000                0.363636364
## 2428  2001                0.593750000
## 2429  2002                0.769230769
## 2430  2003                2.953488372
## 2431  2004                0.526315789
## 2432  2005                0.558823529
## 2433  2006                0.764705882
## 2434  2007                2.200000000
## 2435  2008                        NaN
## 2436  2009                1.333333333
## 2437  2010                1.400000000
## 2438  2011                2.000000000
## 2439  2012                2.800000000
## 2440  2013                2.000000000
## 2441  2014                1.333333333
## 2442  2015                1.000000000
## 2443  2016                1.250000000
## 2444  2017                1.000000000
## 2445  1966                0.600000000
## 2446  1967                0.484848485
## 2447  1968                0.400000000
## 2448  1969                1.000000000
## 2449  1970                0.250000000
## 2450  1971                        NaN
## 2451  1972                0.363636364
## 2452  1973                0.333333333
## 2453  1974                0.333333333
## 2454  1975                        NaN
## 2455  1976                0.333333333
## 2456  1977                1.000000000
## 2457  1978                0.500000000
## 2458  1979                0.777777778
## 2459  1980                        NaN
## 2460  1981                        NaN
## 2461  1982                        NaN
## 2462  1983                        NaN
## 2463  1984                        NaN
## 2464  1985                        NaN
## 2465  1986                        NaN
## 2466  1987                        NaN
## 2467  1988                        NaN
## 2468  1989                        NaN
## 2469  1990                        NaN
## 2470  1991                        NaN
## 2471  1992                0.640000000
## 2472  1993                        NaN
## 2473  1994                        NaN
## 2474  1995                        NaN
## 2475  1996                        NaN
## 2476  1997                0.000000000
## 2477  1998                        NaN
## 2478  1999                        NaN
## 2479  2000                        NaN
## 2480  2001                0.583333333
## 2481  2002                        NaN
## 2482  2003                2.933333333
## 2483  2004                0.521739130
## 2484  2005                0.000000000
## 2485  2006                0.739130435
## 2486  2007                        NaN
## 2487  2008                        Inf
## 2488  2009                1.169491525
## 2489  2010                        NaN
## 2490  2011                        NaN
## 2491  2012                        NaN
## 2492  2013                1.000000000
## 2493  2014                        NaN
## 2494  2015                        NaN
## 2495  2016                1.391304348
## 2496  2017                1.000000000
## 2497  1966                0.660377358
## 2498  1967                0.682662539
## 2499  1968                0.683453237
## 2500  1969                0.534025375
## 2501  1970                0.451572327
## 2502  1971                0.303672316
## 2503  1972                0.260215054
## 2504  1973                0.324758842
## 2505  1974                0.458333333
## 2506  1975                0.355038760
## 2507  1976                0.407534247
## 2508  1977                0.422053232
## 2509  1978                0.596085409
## 2510  1979                0.576732673
## 2511  1980                0.321499014
## 2512  1981                0.460000000
## 2513  1982                0.368159204
## 2514  1983                0.476303318
## 2515  1984                0.385159011
## 2516  1985                0.503311258
## 2517  1986                0.672077922
## 2518  1987                0.260273973
## 2519  1988                0.115511551
## 2520  1989                0.479400749
## 2521  1990                0.557258792
## 2522  1991                0.417505809
## 2523  1992                0.625112108
## 2524  1993                0.889952153
## 2525  1994                0.410714286
## 2526  1995                0.833333333
## 2527  1996                0.666666667
## 2528  1997                0.500000000
## 2529  1998                0.239583333
## 2530  1999                0.255319149
## 2531  2000                0.371794872
## 2532  2001                0.577777778
## 2533  2002                0.000000000
## 2534  2003                2.959662289
## 2535  2004                0.534545455
## 2536  2005                0.547169811
## 2537  2006                0.724137931
## 2538  2007                2.166666667
## 2539  2008                2.611111111
## 2540  2009                1.162162162
## 2541  2010                1.416666667
## 2542  2011                2.000000000
## 2543  2012                2.615384615
## 2544  2013                1.720930233
## 2545  2014                2.000000000
## 2546  2015                1.000000000
## 2547  2016                1.428571429
## 2548  2017                1.028571429
## 2549  1966                0.234013605
## 2550  1967                0.259776536
## 2551  1968                0.259194396
## 2552  1969                0.384408602
## 2553  1970                0.219584570
## 2554  1971                0.322981366
## 2555  1972                0.311377246
## 2556  1973                0.311284047
## 2557  1974                0.457943925
## 2558  1975                0.366762178
## 2559  1976                0.346153846
## 2560  1977                0.464944649
## 2561  1978                0.628482972
## 2562  1979                0.626373626
## 2563  1980                0.259615385
## 2564  1981                0.468553459
## 2565  1982                0.435797665
## 2566  1983                0.446808511
## 2567  1984                0.394366197
## 2568  1985                0.469194313
## 2569  1986                0.605000000
## 2570  1987                0.288888889
## 2571  1988                0.071090047
## 2572  1989                0.505235602
## 2573  1990                0.601476015
## 2574  1991                0.416822430
## 2575  1992                0.625272331
## 2576  1993                0.875000000
## 2577  1994                0.500000000
## 2578  1995                0.833333333
## 2579  1996                0.666666667
## 2580  1997                0.500000000
## 2581  1998                0.500000000
## 2582  1999                0.252631579
## 2583  2000                0.370689655
## 2584  2001                0.566666667
## 2585  2002                0.000000000
## 2586  2003                2.977011494
## 2587  2004                0.537500000
## 2588  2005                0.571428571
## 2589  2006                0.680000000
## 2590  2007                2.186440678
## 2591  2008                2.562500000
## 2592  2009                1.125000000
## 2593  2010                1.400000000
## 2594  2011                2.000000000
## 2595  2012                2.578947368
## 2596  2013                1.736842105
## 2597  2014                2.000000000
## 2598  2015                1.000000000
## 2599  2016                1.500000000
## 2600  2017                1.041666667
## 2601  1966                0.424877708
## 2602  1967                0.584717608
## 2603  1968                0.324637681
## 2604  1969                0.459441489
## 2605  1970                0.346153846
## 2606  1971                0.430705394
## 2607  1972                0.302805281
## 2608  1973                0.379174853
## 2609  1974                0.404040404
## 2610  1975                0.268605646
## 2611  1976                0.442687747
## 2612  1977                0.667019027
## 2613  1978                0.712464589
## 2614  1979                0.821147357
## 2615  1980                0.356929212
## 2616  1981                1.053475936
## 2617  1982                0.628808864
## 2618  1983                0.715686275
## 2619  1984                0.778716216
## 2620  1985                0.826490066
## 2621  1986                0.389156627
## 2622  1987                0.747816594
## 2623  1988                0.840460526
## 2624  1989                0.762931034
## 2625  1990                0.755523436
## 2626  1991                0.830417227
## 2627  1992                1.213938974
## 2628  1993                1.100903614
## 2629  1994                0.608695652
## 2630  1995                1.031021898
## 2631  1996                1.181069959
## 2632  1997                1.063909774
## 2633  1998                0.982832618
## 2634  1999                0.619230769
## 2635  2000                1.490171990
## 2636  2001                1.036603221
## 2637  2002                0.925925926
## 2638  2003                4.506401138
## 2639  2004                3.876638856
## 2640  2005                4.177841179
## 2641  2006                1.978043912
## 2642  2007                3.250463822
## 2643  2008                2.983471074
## 2644  2009                2.596918086
## 2645  2010                3.221518987
## 2646  2011                3.283085633
## 2647  2012                3.611261872
## 2648  2013                2.983695652
## 2649  2014                2.458968347
## 2650  2015                1.895787140
## 2651  2016                2.369565217
## 2652  2017                2.352649007
## 2653  1966                0.545060659
## 2654  1967                0.423111920
## 2655  1968                0.348341232
## 2656  1969                0.368320611
## 2657  1970                0.302872063
## 2658  1971                0.448416752
## 2659  1972                0.359839357
## 2660  1973                0.334241599
## 2661  1974                0.361228814
## 2662  1975                0.426488457
## 2663  1976                0.389438944
## 2664  1977                0.629411765
## 2665  1978                0.663956640
## 2666  1979                0.652601969
## 2667  1980                0.262745098
## 2668  1981                0.742049470
## 2669  1982                0.727272727
## 2670  1983                0.706018519
## 2671  1984                0.861313869
## 2672  1985                0.700000000
## 2673  1986                0.694510740
## 2674  1987                0.862162162
## 2675  1988                1.032710280
## 2676  1989                0.785454545
## 2677  1990                1.455683003
## 2678  1991                1.238012206
## 2679  1992                1.272189349
## 2680  1993                1.250000000
## 2681  1994                1.800000000
## 2682  1995                1.625000000
## 2683  1996                1.375000000
## 2684  1997                1.000000000
## 2685  1998                1.500000000
## 2686  1999                1.309973046
## 2687  2000                2.830374753
## 2688  2001                1.723076923
## 2689  2002                1.666666667
## 2690  2003                2.468374700
## 2691  2004                1.323255814
## 2692  2005                1.031914894
## 2693  2006                0.432926829
## 2694  2007                0.839080460
## 2695  2008                1.235955056
## 2696  2009                0.624969814
## 2697  2010                0.793103448
## 2698  2011                1.048678720
## 2699  2012                0.911842105
## 2700  2013                0.672877847
## 2701  2014                0.320697498
## 2702  2015                0.568763557
## 2703  2016                0.200892857
## 2704  2017                0.533224401
## 2705  1966                0.746849943
## 2706  1967                0.438003221
## 2707  1968                0.616352201
## 2708  1969                0.466183575
## 2709  1970                0.367055772
## 2710  1971                0.659574468
## 2711  1972                0.476973684
## 2712  1973                0.440550688
## 2713  1974                0.524571429
## 2714  1975                0.170289855
## 2715  1976                0.533950617
## 2716  1977                0.850993377
## 2717  1978                0.613006397
## 2718  1979                0.842105263
## 2719  1980                0.289968652
## 2720  1981                0.790870488
## 2721  1982                1.035986914
## 2722  1983                0.978082192
## 2723  1984                1.124378109
## 2724  1985                0.934782609
## 2725  1986                0.726303318
## 2726  1987                0.889600000
## 2727  1988                0.916666667
## 2728  1989                1.028900256
## 2729  1990                1.175110507
## 2730  1991                1.337856174
## 2731  1992                0.785175017
## 2732  1993                1.375000000
## 2733  1994                1.500000000
## 2734  1995                0.846153846
## 2735  1996                0.777777778
## 2736  1997                1.142857143
## 2737  1998                0.714285714
## 2738  1999                0.799237611
## 2739  2000                1.683333333
## 2740  2001                0.525179856
## 2741  2002                0.000000000
## 2742  2003                0.238663484
## 2743  2004                0.455445545
## 2744  2005                1.750000000
## 2745  2006                1.122199593
## 2746  2007                2.806818182
## 2747  2008                2.500000000
## 2748  2009                2.004444444
## 2749  2010                1.450000000
## 2750  2011                0.629981025
## 2751  2012                2.368078176
## 2752  2013                2.096363636
## 2753  2014                1.279929577
## 2754  2015                1.367977528
## 2755  2016                0.961956522
## 2756  2017                1.209068010
## 2757  1966                0.810055866
## 2758  1967                0.785714286
## 2759  1968                0.542372881
## 2760  1969                0.794326241
## 2761  1970                0.704225352
## 2762  1971                0.827272727
## 2763  1972                0.761904762
## 2764  1973                0.731092437
## 2765  1974                0.941176471
## 2766  1975                0.750000000
## 2767  1976                0.788732394
## 2768  1977                0.653333333
## 2769  1978                0.644628099
## 2770  1979                1.016528926
## 2771  1980                0.330000000
## 2772  1981                0.827160494
## 2773  1982                0.864000000
## 2774  1983                0.865030675
## 2775  1984                0.630769231
## 2776  1985                0.964912281
## 2777  1986                1.231578947
## 2778  1987                0.865979381
## 2779  1988                0.697674419
## 2780  1989                1.156626506
## 2781  1990                1.254545455
## 2782  1991                0.909329829
## 2783  1992                0.785185185
## 2784  1993                0.833333333
## 2785  1994                1.000000000
## 2786  1995                1.000000000
## 2787  1996                0.666666667
## 2788  1997                1.000000000
## 2789  1998                0.333333333
## 2790  1999                0.588235294
## 2791  2000                0.758426966
## 2792  2001                0.904166667
## 2793  2002                0.500000000
## 2794  2003                1.174273859
## 2795  2004                0.917293233
## 2796  2005                0.666666667
## 2797  2006                0.773195876
## 2798  2007                0.778688525
## 2799  2008                0.669421488
## 2800  2009                1.084615385
## 2801  2010                0.625000000
## 2802  2011                1.142857143
## 2803  2012                1.000000000
## 2804  2013                1.000000000
## 2805  2014                1.000000000
## 2806  2015                0.500000000
## 2807  2016                0.250000000
## 2808  2017                1.562500000
## 2809  1966                0.465849387
## 2810  1967                0.408723748
## 2811  1968                0.341085271
## 2812  1969                0.648611111
## 2813  1970                0.437500000
## 2814  1971                0.351506456
## 2815  1972                0.325925926
## 2816  1973                0.461811723
## 2817  1974                0.809405941
## 2818  1975                0.642538976
## 2819  1976                0.615384615
## 2820  1977                0.794843049
## 2821  1978                0.720178372
## 2822  1979                0.770322581
## 2823  1980                0.699776786
## 2824  1981                0.595041322
## 2825  1982                0.609756098
## 2826  1983                0.606882169
## 2827  1984                0.547516199
## 2828  1985                0.802768166
## 2829  1986                0.946619217
## 2830  1987                0.831822759
## 2831  1988                0.585175553
## 2832  1989                0.794823232
## 2833  1990                0.957089552
## 2834  1991                0.754016064
## 2835  1992                0.889933412
## 2836  1993                0.802816901
## 2837  1994                0.895522388
## 2838  1995                0.661538462
## 2839  1996                0.850000000
## 2840  1997                1.235294118
## 2841  1998                0.529411765
## 2842  1999                0.792019950
## 2843  2000                0.866080662
## 2844  2001                1.031066823
## 2845  2002                1.045454545
## 2846  2003                1.055156491
## 2847  2004                1.439688716
## 2848  2005                1.077943615
## 2849  2006                1.587901701
## 2850  2007                1.395149786
## 2851  2008                1.422798552
## 2852  2009                0.858903266
## 2853  2010                0.746749226
## 2854  2011                0.950299914
## 2855  2012                0.979524980
## 2856  2013                1.133393829
## 2857  2014                1.265151515
## 2858  2015                1.490299824
## 2859  2016                1.320488722
## 2860  2017                0.976430976
## 2861  1966                0.490566038
## 2862  1967                0.433962264
## 2863  1968                0.432653061
## 2864  1969                0.611336032
## 2865  1970                0.238095238
## 2866  1971                0.496575342
## 2867  1972                0.246478873
## 2868  1973                0.512562814
## 2869  1974                0.649769585
## 2870  1975                0.326315789
## 2871  1976                0.217142857
## 2872  1977                0.452261307
## 2873  1978                0.117647059
## 2874  1979                0.818181818
## 2875  1980                0.902777778
## 2876  1981                0.724832215
## 2877  1982                0.897637795
## 2878  1983                0.192307692
## 2879  1984                0.672897196
## 2880  1985                0.195402299
## 2881  1986                0.431372549
## 2882  1987                0.843137255
## 2883  1988                0.165137615
## 2884  1989                0.605633803
## 2885  1990                0.518518519
## 2886  1991                0.486652977
## 2887  1992                0.742323097
## 2888  1993                1.166666667
## 2889  1994                1.250000000
## 2890  1995                0.600000000
## 2891  1996                1.333333333
## 2892  1997                0.500000000
## 2893  1998                0.666666667
## 2894  1999                1.619318182
## 2895  2000                1.016000000
## 2896  2001                0.752089136
## 2897  2002                1.000000000
## 2898  2003                0.915750916
## 2899  2004                0.742718447
## 2900  2005                0.631818182
## 2901  2006                1.125000000
## 2902  2007                0.957671958
## 2903  2008                1.068627451
## 2904  2009                0.877551020
## 2905  2010                1.886075949
## 2906  2011                0.912280702
## 2907  2012                1.439024390
## 2908  2013                0.916666667
## 2909  2014                0.580645161
## 2910  2015                0.602409639
## 2911  2016                0.590909091
## 2912  2017                0.933333333
## 2913  1966                0.481418919
## 2914  1967                0.587436333
## 2915  1968                0.587463557
## 2916  1969                0.659090909
## 2917  1970                0.570520966
## 2918  1971                0.728571429
## 2919  1972                0.261874198
## 2920  1973                0.459562322
## 2921  1974                0.744730679
## 2922  1975                0.565645514
## 2923  1976                0.686700767
## 2924  1977                0.886937431
## 2925  1978                0.345132743
## 2926  1979                0.827586207
## 2927  1980                0.805620609
## 2928  1981                0.414271556
## 2929  1982                0.868156425
## 2930  1983                0.313868613
## 2931  1984                0.554655870
## 2932  1985                0.631970260
## 2933  1986                0.526988636
## 2934  1987                0.895281933
## 2935  1988                0.403204272
## 2936  1989                0.538881491
## 2937  1990                0.725958866
## 2938  1991                0.569036227
## 2939  1992                0.766951942
## 2940  1993                0.875000000
## 2941  1994                0.660000000
## 2942  1995                0.781818182
## 2943  1996                0.622222222
## 2944  1997                0.666666667
## 2945  1998                0.666666667
## 2946  1999                0.664147775
## 2947  2000                0.966966967
## 2948  2001                1.104012211
## 2949  2002                0.846153846
## 2950  2003                0.819911748
## 2951  2004                0.954166667
## 2952  2005                1.449892627
## 2953  2006                0.865058424
## 2954  2007                1.345929100
## 2955  2008                1.164825453
## 2956  2009                0.580962235
## 2957  2010                1.138012247
## 2958  2011                1.487619048
## 2959  2012                1.219626168
## 2960  2013                1.168792934
## 2961  2014                1.099857347
## 2962  2015                1.163111669
## 2963  2016                0.709466812
## 2964  2017                0.918727915
## 2965  1966                0.319615912
## 2966  1967                0.560056524
## 2967  1968                0.313750532
## 2968  1969                0.615006150
## 2969  1970                0.586298259
## 2970  1971                0.280146163
## 2971  1972                0.266195524
## 2972  1973                0.362074451
## 2973  1974                0.526066351
## 2974  1975                0.359105181
## 2975  1976                0.274106706
## 2976  1977                0.591078067
## 2977  1978                0.624949860
## 2978  1979                0.528089888
## 2979  1980                0.581957310
## 2980  1981                0.567963034
## 2981  1982                0.462931761
## 2982  1983                0.460112812
## 2983  1984                0.300000000
## 2984  1985                0.444093778
## 2985  1986                0.441983630
## 2986  1987                0.603797468
## 2987  1988                0.429890848
## 2988  1989                0.652955565
## 2989  1990                0.730982368
## 2990  1991                0.330984100
## 2991  1992                0.626990422
## 2992  1993                0.585034014
## 2993  1994                0.669354839
## 2994  1995                0.740740741
## 2995  1996                0.629370629
## 2996  1997                0.608247423
## 2997  1998                0.600000000
## 2998  1999                0.534045272
## 2999  2000                0.760006278
## 3000  2001                0.709031147
## 3001  2002                0.916666667
## 3002  2003                0.759000735
## 3003  2004                0.447940503
## 3004  2005                0.970950426
## 3005  2006                0.815006023
## 3006  2007                0.975095785
## 3007  2008                0.884955752
## 3008  2009                0.548956661
## 3009  2010                0.872904273
## 3010  2011                0.834769577
## 3011  2012                1.213085449
## 3012  2013                1.193813755
## 3013  2014                1.174267101
## 3014  2015                1.029964449
## 3015  2016                0.810417341
## 3016  2017                0.980365297
## 3017  1966                0.906716418
## 3018  1967                0.239902081
## 3019  1968                0.239833160
## 3020  1969                0.363445378
## 3021  1970                0.385982231
## 3022  1971                0.151483051
## 3023  1972                0.091078067
## 3024  1973                0.213163065
## 3025  1974                0.203939745
## 3026  1975                0.227472527
## 3027  1976                0.177455357
## 3028  1977                0.270560191
## 3029  1978                0.234117647
## 3030  1979                0.245080501
## 3031  1980                0.309552600
## 3032  1981                0.227790433
## 3033  1982                0.246231156
## 3034  1983                0.348344371
## 3035  1984                0.244372990
## 3036  1985                0.426540284
## 3037  1986                0.382943144
## 3038  1987                0.223583461
## 3039  1988                0.439716312
## 3040  1989                0.458663883
## 3041  1990                0.364091162
## 3042  1991                0.326101695
## 3043  1992                0.305959643
## 3044  1993                0.400000000
## 3045  1994                0.277777778
## 3046  1995                0.352941176
## 3047  1996                0.294117647
## 3048  1997                0.307692308
## 3049  1998                0.428571429
## 3050  1999                0.511517077
## 3051  2000                0.560402685
## 3052  2001                0.340193705
## 3053  2002                0.266666667
## 3054  2003                0.507278020
## 3055  2004                0.214501511
## 3056  2005                0.449557522
## 3057  2006                0.242753623
## 3058  2007                0.721068249
## 3059  2008                0.682080925
## 3060  2009                0.637532134
## 3061  2010                0.714743590
## 3062  2011                1.185185185
## 3063  2012                0.748322148
## 3064  2013                0.629179331
## 3065  2014                0.329268293
## 3066  2015                0.463414634
## 3067  2016                0.432926829
## 3068  2017                0.497005988
## 3069  1966                0.397174254
## 3070  1967                0.457757296
## 3071  1968                0.457231726
## 3072  1969                0.928671329
## 3073  1970                0.582025678
## 3074  1971                0.580291971
## 3075  1972                0.595555556
## 3076  1973                0.646981627
## 3077  1974                0.879815100
## 3078  1975                0.635792779
## 3079  1976                0.494308943
## 3080  1977                0.726812816
## 3081  1978                0.286350148
## 3082  1979                0.814616756
## 3083  1980                1.006299213
## 3084  1981                0.447129909
## 3085  1982                0.583617747
## 3086  1983                0.384219554
## 3087  1984                0.404612159
## 3088  1985                0.407185629
## 3089  1986                0.382608696
## 3090  1987                0.860050891
## 3091  1988                0.373205742
## 3092  1989                0.811242604
## 3093  1990                0.724421210
## 3094  1991                0.553664921
## 3095  1992                0.677876106
## 3096  1993                0.600000000
## 3097  1994                0.500000000
## 3098  1995                0.500000000
## 3099  1996                1.000000000
## 3100  1997                1.000000000
## 3101  1998                0.666666667
## 3102  1999                0.354679803
## 3103  2000                0.564285714
## 3104  2001                1.009708738
## 3105  2002                1.000000000
## 3106  2003                1.050000000
## 3107  2004                0.689655172
## 3108  2005                0.716216216
## 3109  2006                0.700000000
## 3110  2007                1.277777778
## 3111  2008                0.625000000
## 3112  2009                1.100000000
## 3113  2010                0.846153846
## 3114  2011                0.157894737
## 3115  2012                1.545454545
## 3116  2013                0.722222222
## 3117  2014                0.538461538
## 3118  2015                0.666666667
## 3119  2016                0.750000000
## 3120  2017                0.750000000
## 3121  1966                0.208092486
## 3122  1967                0.568181818
## 3123  1968                0.573033708
## 3124  1969                0.729729730
## 3125  1970                0.315789474
## 3126  1971                0.707865169
## 3127  1972                0.680851064
## 3128  1973                0.902173913
## 3129  1974                0.617886179
## 3130  1975                0.458333333
## 3131  1976                0.412371134
## 3132  1977                0.645833333
## 3133  1978                0.496124031
## 3134  1979                0.635294118
## 3135  1980                0.625000000
## 3136  1981                0.500000000
## 3137  1982                0.558823529
## 3138  1983                0.423913043
## 3139  1984                0.452830189
## 3140  1985                0.538461538
## 3141  1986                0.539682540
## 3142  1987                0.651162791
## 3143  1988                0.433734940
## 3144  1989                0.657333333
## 3145  1990                0.718987342
## 3146  1991                0.435549525
## 3147  1992                0.927184466
## 3148  1993                0.750000000
## 3149  1994                0.750000000
## 3150  1995                0.750000000
## 3151  1996                0.750000000
## 3152  1997                0.666666667
## 3153  1998                0.750000000
## 3154  1999                0.744336570
## 3155  2000                0.943548387
## 3156  2001                1.250909091
## 3157  2002                1.000000000
## 3158  2003                0.655339806
## 3159  2004                0.611111111
## 3160  2005                0.896551724
## 3161  2006                0.904761905
## 3162  2007                1.304347826
## 3163  2008                1.333333333
## 3164  2009                0.736842105
## 3165  2010                0.785714286
## 3166  2011                1.666666667
## 3167  2012                0.750000000
## 3168  2013                        NaN
## 3169  2014                        NaN
## 3170  2015                        NaN
## 3171  2016                        NaN
## 3172  2017                1.000000000
## 3173  1966                0.339622642
## 3174  1967                0.398280802
## 3175  1968                0.362776025
## 3176  1969                0.571428571
## 3177  1970                0.484463277
## 3178  1971                0.707275804
## 3179  1972                0.425696594
## 3180  1973                0.899873257
## 3181  1974                0.573353293
## 3182  1975                0.624309392
## 3183  1976                0.299694190
## 3184  1977                0.751373626
## 3185  1978                0.474074074
## 3186  1979                0.640117994
## 3187  1980                0.746067416
## 3188  1981                0.617256637
## 3189  1982                0.663608563
## 3190  1983                0.472000000
## 3191  1984                0.395209581
## 3192  1985                0.451923077
## 3193  1986                0.444444444
## 3194  1987                0.426086957
## 3195  1988                0.433333333
## 3196  1989                0.665000000
## 3197  1990                0.717791411
## 3198  1991                0.433333333
## 3199  1992                0.672727273
## 3200  1993                1.000000000
## 3201  1994                0.000000000
## 3202  1995                        NaN
## 3203  1996                        NaN
## 3204  1997                        NaN
## 3205  1998                0.000000000
## 3206  1999                0.611111111
## 3207  2000                0.750000000
## 3208  2001                0.961904762
## 3209  2002                        NaN
## 3210  2003                0.923076923
## 3211  2004                0.866666667
## 3212  2005                1.192307692
## 3213  2006                1.000000000
## 3214  2007                        NaN
## 3215  2008                        NaN
## 3216  2009                        NaN
## 3217  2010                1.000000000
## 3218  2011                        NaN
## 3219  2012                        NaN
## 3220  2013                        NaN
## 3221  2014                        NaN
## 3222  2015                        NaN
## 3223  2016                1.000000000
## 3224  2017                        NaN
## 3225  1966                0.642857143
## 3226  1967                0.690222652
## 3227  1968                0.571293673
## 3228  1969                0.569494585
## 3229  1970                0.622076707
## 3230  1971                0.824186047
## 3231  1972                0.431941924
## 3232  1973                0.733824734
## 3233  1974                0.800177620
## 3234  1975                0.451612903
## 3235  1976                0.585281385
## 3236  1977                0.643229167
## 3237  1978                0.497551420
## 3238  1979                0.719733079
## 3239  1980                0.416149068
## 3240  1981                0.454730417
## 3241  1982                0.503086420
## 3242  1983                0.300540541
## 3243  1984                0.695329087
## 3244  1985                0.630410655
## 3245  1986                0.593429158
## 3246  1987                0.494915254
## 3247  1988                0.330760750
## 3248  1989                0.677183406
## 3249  1990                0.602903616
## 3250  1991                0.343980674
## 3251  1992                1.206977030
## 3252  1993                1.317073171
## 3253  1994                0.945205479
## 3254  1995                0.731343284
## 3255  1996                1.096774194
## 3256  1997                0.551724138
## 3257  1998                1.200000000
## 3258  1999                1.228898992
## 3259  2000                1.599113363
## 3260  2001                1.675020210
## 3261  2002                1.538461538
## 3262  2003                1.443095171
## 3263  2004                1.564064801
## 3264  2005                1.871007371
## 3265  2006                1.514200299
## 3266  2007                2.309247312
## 3267  2008                1.783716284
## 3268  2009                1.761970375
## 3269  2010                1.055746468
## 3270  2011                1.862507221
## 3271  2012                1.374183007
## 3272  2013                0.887086308
## 3273  2014                0.994197292
## 3274  2015                1.173333333
## 3275  2016                0.964751958
## 3276  2017                0.906054280
## 3277  1966                0.500000000
## 3278  1967                0.500000000
## 3279  1968                0.848484848
## 3280  1969                        NaN
## 3281  1970                0.850000000
## 3282  1971                4.000000000
## 3283  1972                2.500000000
## 3284  1973                2.000000000
## 3285  1974                2.500000000
## 3286  1975                2.000000000
## 3287  1976                1.000000000
## 3288  1977                1.500000000
## 3289  1978                2.000000000
## 3290  1979                1.000000000
## 3291  1980                        NaN
## 3292  1981                        NaN
## 3293  1982                3.000000000
## 3294  1983                3.000000000
## 3295  1984                1.000000000
## 3296  1985                        NaN
## 3297  1986                        NaN
## 3298  1987                        NaN
## 3299  1988                        NaN
## 3300  1989                        NaN
## 3301  1990                        NaN
## 3302  1991                        NaN
## 3303  1992                        NaN
## 3304  1993                        NaN
## 3305  1994                        NaN
## 3306  1995                        NaN
## 3307  1996                        NaN
## 3308  1997                        NaN
## 3309  1998                        NaN
## 3310  1999                        NaN
## 3311  2000                        NaN
## 3312  2001                        NaN
## 3313  2002                        NaN
## 3314  2003                1.080000000
## 3315  2004                        NaN
## 3316  2005                        NaN
## 3317  2006                        NaN
## 3318  2007                        NaN
## 3319  2008                        NaN
## 3320  2009                        NaN
## 3321  2010                        NaN
## 3322  2011                        NaN
## 3323  2012                1.226666667
## 3324  2013                1.423529412
## 3325  2014                1.370370370
## 3326  2015                        NaN
## 3327  2016                        NaN
## 3328  2017                        NaN
## 3329  1966                        NaN
## 3330  1967                0.500000000
## 3331  1968                0.687500000
## 3332  1969                0.682926829
## 3333  1970                0.945454545
## 3334  1971                1.081081081
## 3335  1972                1.480000000
## 3336  1973                2.043478261
## 3337  1974                1.043478261
## 3338  1975                0.793103448
## 3339  1976                1.181818182
## 3340  1977                1.222222222
## 3341  1978                1.357142857
## 3342  1979                1.190476190
## 3343  1980                2.000000000
## 3344  1981                0.584905660
## 3345  1982                0.625000000
## 3346  1983                0.916666667
## 3347  1984                0.636363636
## 3348  1985                1.137931034
## 3349  1986                0.682926829
## 3350  1987                0.607142857
## 3351  1988                0.739130435
## 3352  1989                0.569444444
## 3353  1990                0.539087948
## 3354  1991                1.000000000
## 3355  1992                        NaN
## 3356  1993                        NaN
## 3357  1994                        NaN
## 3358  1995                        NaN
## 3359  1996                        NaN
## 3360  1997                        NaN
## 3361  1998                        NaN
## 3362  1999                        NaN
## 3363  2000                        NaN
## 3364  2001                        NaN
## 3365  2002                        NaN
## 3366  2003                        NaN
## 3367  2004                        NaN
## 3368  2005                        NaN
## 3369  2006                        NaN
## 3370  2007                        NaN
## 3371  2008                        NaN
## 3372  2009                        NaN
## 3373  2010                        NaN
## 3374  2011                        NaN
## 3375  2012                1.227436823
## 3376  2013                1.422512235
## 3377  2014                1.385542169
## 3378  2015                1.142857143
## 3379  2016                1.165354331
## 3380  2017                        NaN
## 3381  1966                0.616740088
## 3382  1967                0.546296296
## 3383  1968                1.186885246
## 3384  1969                1.393939394
## 3385  1970                0.959595960
## 3386  1971                0.966183575
## 3387  1972                1.355263158
## 3388  1973                0.707112971
## 3389  1974                0.943181818
## 3390  1975                0.737100737
## 3391  1976                0.689655172
## 3392  1977                1.325471698
## 3393  1978                1.019047619
## 3394  1979                0.932584270
## 3395  1980                2.035087719
## 3396  1981                1.750000000
## 3397  1982                1.406250000
## 3398  1983                1.649006623
## 3399  1984                0.666666667
## 3400  1985                0.923076923
## 3401  1986                1.275862069
## 3402  1987                0.854014599
## 3403  1988                0.873684211
## 3404  1989                0.992592593
## 3405  1990                0.820322181
## 3406  1991                1.053824363
## 3407  1992                0.856259660
## 3408  1993                0.907254362
## 3409  1994                0.880952381
## 3410  1995                1.278443114
## 3411  1996                1.171171171
## 3412  1997                0.593516209
## 3413  1998                1.085784314
## 3414  1999                0.968750000
## 3415  2000                1.459016393
## 3416  2001                1.527027027
## 3417  2002                1.158536585
## 3418  2003                0.628458498
## 3419  2004                1.297709924
## 3420  2005                1.198275862
## 3421  2006                0.695431472
## 3422  2007                1.138248848
## 3423  2008                1.390350877
## 3424  2009                0.782865583
## 3425  2010                0.953488372
## 3426  2011                0.500000000
## 3427  2012                        NaN
## 3428  2013                0.575581395
## 3429  2014                0.333333333
## 3430  2015                        NaN
## 3431  2016                        NaN
## 3432  2017                        NaN
## 3433  1966                0.548705302
## 3434  1967                0.627594628
## 3435  1968                0.555555556
## 3436  1969                0.681771370
## 3437  1970                0.836670179
## 3438  1971                1.143305439
## 3439  1972                1.048929664
## 3440  1973                1.253564155
## 3441  1974                0.875245580
## 3442  1975                1.002018163
## 3443  1976                0.238663484
## 3444  1977                0.776985743
## 3445  1978                1.112158341
## 3446  1979                1.131212724
## 3447  1980                0.959782609
## 3448  1981                0.762168142
## 3449  1982                0.713151927
## 3450  1983                0.730088496
## 3451  1984                0.931895573
## 3452  1985                0.729870130
## 3453  1986                0.768406961
## 3454  1987                0.269016698
## 3455  1988                0.671033479
## 3456  1989                0.882812500
## 3457  1990                0.558621676
## 3458  1991                1.113475177
## 3459  1992                1.122721750
## 3460  1993                0.748177229
## 3461  1994                1.376393031
## 3462  1995                0.866823345
## 3463  1996                1.054966457
## 3464  1997                0.906801008
## 3465  1998                0.943985308
## 3466  1999                0.786699842
## 3467  2000                0.750638081
## 3468  2001                0.555431755
## 3469  2002                0.283847185
## 3470  2003                0.252529037
## 3471  2004                1.415270829
## 3472  2005                0.786802030
## 3473  2006                1.011958998
## 3474  2007                0.898488830
## 3475  2008                0.690622861
## 3476  2009                0.614446529
## 3477  2010                1.227836330
## 3478  2011                0.952679590
## 3479  2012                0.338593482
## 3480  2013                0.947761194
## 3481  2014                0.722279261
## 3482  2015                0.765454545
## 3483  2016                0.768003867
## 3484  2017                0.802735043
## 3485  1966                0.500000000
## 3486  1967                0.611111111
## 3487  1968                0.916666667
## 3488  1969                1.867469880
## 3489  1970                2.560000000
## 3490  1971                6.531250000
## 3491  1972                1.939393939
## 3492  1973                1.287037037
## 3493  1974                0.931034483
## 3494  1975                0.964912281
## 3495  1976                1.800000000
## 3496  1977                2.000000000
## 3497  1978                2.064516129
## 3498  1979                1.089552239
## 3499  1980                1.052631579
## 3500  1981                0.985074627
## 3501  1982                0.759259259
## 3502  1983                1.273972603
## 3503  1984                0.933333333
## 3504  1985                0.931818182
## 3505  1986                1.029411765
## 3506  1987                0.387096774
## 3507  1988                0.666666667
## 3508  1989                0.819672131
## 3509  1990                0.527542373
## 3510  1991                1.363271852
## 3511  1992                1.001153403
## 3512  1993                0.786259542
## 3513  1994                1.245700246
## 3514  1995                0.641025641
## 3515  1996                0.944303797
## 3516  1997                1.511335013
## 3517  1998                1.022598870
## 3518  1999                0.987500000
## 3519  2000                0.951530612
## 3520  2001                0.672222222
## 3521  2002                0.574712644
## 3522  2003                0.537037037
## 3523  2004                0.760000000
## 3524  2005                0.503105590
## 3525  2006                1.666666667
## 3526  2007                0.833333333
## 3527  2008                        NaN
## 3528  2009                        NaN
## 3529  2010                        NaN
## 3530  2011                1.666666667
## 3531  2012                1.226190476
## 3532  2013                1.425287356
## 3533  2014                1.387596899
## 3534  2015                1.138613861
## 3535  2016                        NaN
## 3536  2017                        NaN
## 3537  1966                0.521739130
## 3538  1967                0.638888889
## 3539  1968                1.301369863
## 3540  1969                1.064935065
## 3541  1970                1.163934426
## 3542  1971                1.385714286
## 3543  1972                1.000000000
## 3544  1973                1.448598131
## 3545  1974                1.160839161
## 3546  1975                2.007518797
## 3547  1976                0.662500000
## 3548  1977                2.009259259
## 3549  1978                2.365853659
## 3550  1979                1.750000000
## 3551  1980                1.393442623
## 3552  1981                1.495145631
## 3553  1982                1.654761905
## 3554  1983                1.587628866
## 3555  1984                1.179487179
## 3556  1985                1.187969925
## 3557  1986                1.247368421
## 3558  1987                1.050000000
## 3559  1988                1.133928571
## 3560  1989                1.574468085
## 3561  1990                0.601063830
## 3562  1991                1.256526674
## 3563  1992                1.664220183
## 3564  1993                0.958333333
## 3565  1994                1.462616822
## 3566  1995                1.273006135
## 3567  1996                1.449275362
## 3568  1997                1.181494662
## 3569  1998                1.394957983
## 3570  1999                1.231111111
## 3571  2000                1.581081081
## 3572  2001                1.614678899
## 3573  2002                0.707746479
## 3574  2003                0.598870056
## 3575  2004                1.133689840
## 3576  2005                1.465217391
## 3577  2006                0.733812950
## 3578  2007                1.111475410
## 3579  2008                1.122807018
## 3580  2009                1.237547893
## 3581  2010                2.041420118
## 3582  2011                0.919540230
## 3583  2012                0.478260870
## 3584  2013                0.675213675
## 3585  2014                0.849557522
## 3586  2015                0.604166667
## 3587  2016                0.155555556
## 3588  2017                1.650485437
## 3589  1966                0.598070740
## 3590  1967                0.965065502
## 3591  1968                0.947368421
## 3592  1969                1.265517241
## 3593  1970                1.498338870
## 3594  1971                1.770609319
## 3595  1972                2.519230769
## 3596  1973                2.136807818
## 3597  1974                2.232026144
## 3598  1975                2.071856287
## 3599  1976                1.638655462
## 3600  1977                1.971698113
## 3601  1978                2.041935484
## 3602  1979                1.941860465
## 3603  1980                1.732876712
## 3604  1981                1.699115044
## 3605  1982                1.961722488
## 3606  1983                2.014285714
## 3607  1984                2.218623482
## 3608  1985                1.820833333
## 3609  1986                2.335766423
## 3610  1987                1.632352941
## 3611  1988                1.129310345
## 3612  1989                2.508771930
## 3613  1990                1.410973085
## 3614  1991                1.859613428
## 3615  1992                1.981900452
## 3616  1993                2.056910569
## 3617  1994                1.884412153
## 3618  1995                2.125925926
## 3619  1996                2.496833216
## 3620  1997                1.748325359
## 3621  1998                1.708737864
## 3622  1999                1.553398058
## 3623  2000                1.121428571
## 3624  2001                1.937500000
## 3625  2002                0.935064935
## 3626  2003                1.049382716
## 3627  2004                1.530303030
## 3628  2005                1.952380952
## 3629  2006                1.642857143
## 3630  2007                2.000000000
## 3631  2008                2.000000000
## 3632  2009                1.823529412
## 3633  2010                1.500000000
## 3634  2011                2.000000000
## 3635  2012                2.062500000
## 3636  2013                1.852941176
## 3637  2014                2.129032258
## 3638  2015                3.031250000
## 3639  2016                2.333333333
## 3640  2017                3.200000000
## 3641  1966                0.509202454
## 3642  1967                0.636363636
## 3643  1968                0.789215686
## 3644  1969                0.675000000
## 3645  1970                0.795555556
## 3646  1971                1.067307692
## 3647  1972                1.571428571
## 3648  1973                1.188073394
## 3649  1974                1.082417582
## 3650  1975                1.204188482
## 3651  1976                0.417910448
## 3652  1977                1.288590604
## 3653  1978                1.466666667
## 3654  1979                1.329787234
## 3655  1980                0.900900901
## 3656  1981                0.913242009
## 3657  1982                0.791666667
## 3658  1983                0.976744186
## 3659  1984                0.606741573
## 3660  1985                0.733333333
## 3661  1986                1.188461538
## 3662  1987                0.455000000
## 3663  1988                0.798561151
## 3664  1989                1.356060606
## 3665  1990                0.492639843
## 3666  1991                0.983980283
## 3667  1992                1.169175627
## 3668  1993                0.831801471
## 3669  1994                1.444086022
## 3670  1995                1.196078431
## 3671  1996                1.515409139
## 3672  1997                1.269861286
## 3673  1998                0.758258258
## 3674  1999                0.882812500
## 3675  2000                1.076086957
## 3676  2001                0.687140115
## 3677  2002                0.670050761
## 3678  2003                0.408759124
## 3679  2004                0.979716024
## 3680  2005                1.159574468
## 3681  2006                0.672131148
## 3682  2007                1.240121581
## 3683  2008                0.843971631
## 3684  2009                0.919847328
## 3685  2010                1.068085106
## 3686  2011                0.640000000
## 3687  2012                0.556701031
## 3688  2013                0.815602837
## 3689  2014                0.868932039
## 3690  2015                0.699248120
## 3691  2016                0.200000000
## 3692  2017                0.833333333
## 3693  1966                0.614592275
## 3694  1967                0.636510501
## 3695  1968                1.801405975
## 3696  1969                1.161330049
## 3697  1970                1.402912621
## 3698  1971                1.806236080
## 3699  1972                1.148073022
## 3700  1973                1.743984601
## 3701  1974                1.449330784
## 3702  1975                1.803229062
## 3703  1976                2.221311475
## 3704  1977                1.739583333
## 3705  1978                2.029368576
## 3706  1979                1.527240773
## 3707  1980                2.032019704
## 3708  1981                1.782051282
## 3709  1982                1.517503805
## 3710  1983                1.765560166
## 3711  1984                1.526422764
## 3712  1985                1.502136752
## 3713  1986                1.630642955
## 3714  1987                1.472693032
## 3715  1988                1.997607656
## 3716  1989                1.626506024
## 3717  1990                1.352298137
## 3718  1991                1.897482014
## 3719  1992                1.580428135
## 3720  1993                1.746044963
## 3721  1994                1.788327058
## 3722  1995                1.752293578
## 3723  1996                2.284096628
## 3724  1997                1.628613788
## 3725  1998                2.087100968
## 3726  1999                1.473769314
## 3727  2000                1.900000000
## 3728  2001                1.548924180
## 3729  2002                1.445217840
## 3730  2003                1.080679406
## 3731  2004                1.622468847
## 3732  2005                2.084344914
## 3733  2006                1.286596347
## 3734  2007                1.988602690
## 3735  2008                1.561070999
## 3736  2009                1.759633607
## 3737  2010                2.267432647
## 3738  2011                2.023841962
## 3739  2012                1.539789790
## 3740  2013                1.968750000
## 3741  2014                2.176591376
## 3742  2015                1.719492868
## 3743  2016                1.458055925
## 3744  2017                1.592668024
## 3745  1966                0.572989852
## 3746  1967                0.633247644
## 3747  1968                0.844061650
## 3748  1969                1.023299161
## 3749  1970                1.345381526
## 3750  1971                1.116438356
## 3751  1972                1.335123523
## 3752  1973                1.260247855
## 3753  1974                1.362332696
## 3754  1975                1.377289377
## 3755  1976                0.781250000
## 3756  1977                0.972846442
## 3757  1978                1.553615960
## 3758  1979                1.353244078
## 3759  1980                1.818731118
## 3760  1981                1.270601336
## 3761  1982                1.440983607
## 3762  1983                1.331584470
## 3763  1984                1.102425876
## 3764  1985                1.051775148
## 3765  1986                1.100000000
## 3766  1987                1.018564356
## 3767  1988                1.365535248
## 3768  1989                1.332443258
## 3769  1990                1.280516564
## 3770  1991                1.398865154
## 3771  1992                0.897903373
## 3772  1993                1.048288196
## 3773  1994                1.186469585
## 3774  1995                1.531517263
## 3775  1996                1.656672710
## 3776  1997                1.689078896
## 3777  1998                1.559211999
## 3778  1999                1.535906836
## 3779  2000                1.865962956
## 3780  2001                1.470288625
## 3781  2002                0.997592102
## 3782  2003                1.414586393
## 3783  2004                1.757960644
## 3784  2005                2.133398725
## 3785  2006                1.140123956
## 3786  2007                1.628887176
## 3787  2008                1.100643850
## 3788  2009                0.926957091
## 3789  2010                1.710932025
## 3790  2011                1.625466766
## 3791  2012                1.281407035
## 3792  2013                1.770674300
## 3793  2014                1.885553471
## 3794  2015                1.636469901
## 3795  2016                2.037514654
## 3796  2017                2.520851819
## 3797  1966                0.435777872
## 3798  1967                0.897174618
## 3799  1968                0.898143741
## 3800  1969                1.080773606
## 3801  1970                1.258049887
## 3802  1971                0.956347439
## 3803  1972                0.924546323
## 3804  1973                1.005027652
## 3805  1974                1.606209956
## 3806  1975                1.534693878
## 3807  1976                1.770096463
## 3808  1977                2.109947644
## 3809  1978                1.786255411
## 3810  1979                1.224322621
## 3811  1980                1.604798871
## 3812  1981                1.362199313
## 3813  1982                1.426392573
## 3814  1983                1.400000000
## 3815  1984                1.363180516
## 3816  1985                0.968403074
## 3817  1986                1.253820598
## 3818  1987                1.015278839
## 3819  1988                1.298366294
## 3820  1989                1.180805484
## 3821  1990                0.859079243
## 3822  1991                1.320606489
## 3823  1992                1.028516151
## 3824  1993                1.273038516
## 3825  1994                1.302928064
## 3826  1995                1.421080026
## 3827  1996                1.776058739
## 3828  1997                1.301075269
## 3829  1998                1.633145882
## 3830  1999                1.494755556
## 3831  2000                1.648736896
## 3832  2001                1.117291415
## 3833  2002                1.008315098
## 3834  2003                0.510591673
## 3835  2004                1.243833968
## 3836  2005                1.428976035
## 3837  2006                1.071817193
## 3838  2007                1.519057702
## 3839  2008                1.144932321
## 3840  2009                0.798258345
## 3841  2010                1.609245742
## 3842  2011                1.545406547
## 3843  2012                0.947782546
## 3844  2013                1.367332874
## 3845  2014                1.349056604
## 3846  2015                0.775086505
## 3847  2016                0.858505564
## 3848  2017                1.356275304
## 3849  1966                0.709779180
## 3850  1967                0.563416189
## 3851  1968                0.878512397
## 3852  1969                0.781976744
## 3853  1970                1.034142640
## 3854  1971                0.939675174
## 3855  1972                0.935078534
## 3856  1973                1.109178164
## 3857  1974                1.173289902
## 3858  1975                1.130128205
## 3859  1976                0.755292125
## 3860  1977                1.118210863
## 3861  1978                1.239732569
## 3862  1979                1.077471967
## 3863  1980                0.945010183
## 3864  1981                1.086172345
## 3865  1982                0.981725888
## 3866  1983                1.345140781
## 3867  1984                1.953557312
## 3868  1985                1.568295115
## 3869  1986                1.457819905
## 3870  1987                1.206148282
## 3871  1988                1.471887550
## 3872  1989                1.366315789
## 3873  1990                1.125449871
## 3874  1991                1.312044391
## 3875  1992                1.323928495
## 3876  1993                1.442395798
## 3877  1994                1.356464116
## 3878  1995                1.158544839
## 3879  1996                1.540074349
## 3880  1997                1.230327398
## 3881  1998                1.593211578
## 3882  1999                1.562937063
## 3883  2000                1.305527435
## 3884  2001                1.205082742
## 3885  2002                1.370423205
## 3886  2003                0.911240786
## 3887  2004                1.518121302
## 3888  2005                1.331107529
## 3889  2006                1.339023109
## 3890  2007                1.984631414
## 3891  2008                1.586644951
## 3892  2009                1.251661918
## 3893  2010                1.553584359
## 3894  2011                1.430943396
## 3895  2012                1.124504362
## 3896  2013                1.187634024
## 3897  2014                1.374381800
## 3898  2015                0.761081081
## 3899  2016                1.455503513
## 3900  2017                2.339667458
## 3901  1966                0.388212684
## 3902  1967                0.428260080
## 3903  1968                0.551099612
## 3904  1969                0.550858653
## 3905  1970                1.305755396
## 3906  1971                0.975728155
## 3907  1972                0.224422442
## 3908  1973                0.488997555
## 3909  1974                0.473484848
## 3910  1975                0.586242300
## 3911  1976                0.797438882
## 3912  1977                0.655440415
## 3913  1978                0.825481799
## 3914  1979                0.812060302
## 3915  1980                0.540298507
## 3916  1981                0.551490515
## 3917  1982                0.534550196
## 3918  1983                0.721357850
## 3919  1984                0.891041162
## 3920  1985                0.532110092
## 3921  1986                0.599137931
## 3922  1987                0.932806324
## 3923  1988                0.919689119
## 3924  1989                1.251968504
## 3925  1990                1.024699908
## 3926  1991                1.315267176
## 3927  1992                1.429306691
## 3928  1993                1.686861571
## 3929  1994                1.514856834
## 3930  1995                1.587533667
## 3931  1996                1.624136098
## 3932  1997                1.591856061
## 3933  1998                1.998543336
## 3934  1999                1.893241167
## 3935  2000                2.004827031
## 3936  2001                1.756373938
## 3937  2002                1.635578584
## 3938  2003                2.146396396
## 3939  2004                1.868466899
## 3940  2005                2.607244995
## 3941  2006                0.906010929
## 3942  2007                1.664007976
## 3943  2008                1.765232975
## 3944  2009                0.730401530
## 3945  2010                2.787061995
## 3946  2011                2.071428571
## 3947  2012                1.836257310
## 3948  2013                1.756457565
## 3949  2014                1.536082474
## 3950  2015                1.164383562
## 3951  2016                1.711340206
## 3952  2017                3.085714286
## 3953  1966                0.728260870
## 3954  1967                0.630864198
## 3955  1968                1.409195402
## 3956  1969                0.549773756
## 3957  1970                0.528639618
## 3958  1971                1.090600227
## 3959  1972                0.566233766
## 3960  1973                0.594036697
## 3961  1974                1.719222462
## 3962  1975                1.505415162
## 3963  1976                1.124095140
## 3964  1977                0.866290019
## 3965  1978                1.129146919
## 3966  1979                1.384291725
## 3967  1980                1.137844612
## 3968  1981                1.050245098
## 3969  1982                1.395728643
## 3970  1983                0.825520833
## 3971  1984                1.027118644
## 3972  1985                1.144076841
## 3973  1986                0.671912833
## 3974  1987                1.114572864
## 3975  1988                0.586929716
## 3976  1989                0.891676169
## 3977  1990                0.811666231
## 3978  1991                0.919050758
## 3979  1992                1.527870261
## 3980  1993                1.416399668
## 3981  1994                1.218786389
## 3982  1995                1.414599184
## 3983  1996                1.388410337
## 3984  1997                1.499804764
## 3985  1998                1.235514019
## 3986  1999                1.382784354
## 3987  2000                1.469512195
## 3988  2001                1.414137034
## 3989  2002                1.569590981
## 3990  2003                1.429206252
## 3991  2004                1.235543683
## 3992  2005                1.161274014
## 3993  2006                1.430987359
## 3994  2007                1.910726183
## 3995  2008                1.557726153
## 3996  2009                0.820957543
## 3997  2010                1.390862038
## 3998  2011                1.599925844
## 3999  2012                1.865928103
## 4000  2013                1.403947368
## 4001  2014                1.211079660
## 4002  2015                1.161721688
## 4003  2016                0.653513717
## 4004  2017                1.977373340
## 4005  1966                0.258126195
## 4006  1967                0.566408577
## 4007  1968                0.547762191
## 4008  1969                0.547752809
## 4009  1970                0.435957697
## 4010  1971                0.958178439
## 4011  1972                0.373592631
## 4012  1973                0.423640167
## 4013  1974                0.564587973
## 4014  1975                0.628384687
## 4015  1976                0.848118280
## 4016  1977                0.658730159
## 4017  1978                1.004812320
## 4018  1979                0.723670490
## 4019  1980                0.759475219
## 4020  1981                0.639586411
## 4021  1982                0.711148649
## 4022  1983                1.128634361
## 4023  1984                0.431567329
## 4024  1985                0.573598131
## 4025  1986                0.996447602
## 4026  1987                0.567713976
## 4027  1988                0.693384224
## 4028  1989                0.443734015
## 4029  1990                0.703666636
## 4030  1991                0.889136668
## 4031  1992                0.707890744
## 4032  1993                0.815397703
## 4033  1994                0.585618086
## 4034  1995                0.915721925
## 4035  1996                0.749095023
## 4036  1997                0.797838525
## 4037  1998                0.786223278
## 4038  1999                0.966101695
## 4039  2000                1.091153616
## 4040  2001                1.520291363
## 4041  2002                0.644295302
## 4042  2003                0.664590747
## 4043  2004                0.732283465
## 4044  2005                1.353658537
## 4045  2006                0.645868465
## 4046  2007                1.109215017
## 4047  2008                0.939086294
## 4048  2009                0.719083969
## 4049  2010                1.770851624
## 4050  2011                1.317169069
## 4051  2012                1.447619048
## 4052  2013                2.154205607
## 4053  2014                1.849372385
## 4054  2015                1.037267081
## 4055  2016                0.960000000
## 4056  2017                2.313333333
## 4057  1966                0.442748092
## 4058  1967                0.322519084
## 4059  1968                0.500524659
## 4060  1969                0.500000000
## 4061  1970                0.779396462
## 4062  1971                0.930084746
## 4063  1972                0.325991189
## 4064  1973                1.173076923
## 4065  1974                0.984126984
## 4066  1975                0.348648649
## 4067  1976                0.671717172
## 4068  1977                0.628078818
## 4069  1978                1.096638655
## 4070  1979                1.083102493
## 4071  1980                0.838709677
## 4072  1981                1.106896552
## 4073  1982                0.810126582
## 4074  1983                0.768518519
## 4075  1984                0.679758308
## 4076  1985                0.678571429
## 4077  1986                0.468493151
## 4078  1987                0.812977099
## 4079  1988                0.301470588
## 4080  1989                0.571428571
## 4081  1990                0.811145511
## 4082  1991                0.823129252
## 4083  1992                1.532582462
## 4084  1993                1.208805031
## 4085  1994                0.718918919
## 4086  1995                1.011747430
## 4087  1996                1.069377990
## 4088  1997                0.748291572
## 4089  1998                0.595570139
## 4090  1999                1.388933440
## 4091  2000                0.975692482
## 4092  2001                0.915267176
## 4093  2002                0.950530035
## 4094  2003                1.018207283
## 4095  2004                0.933143670
## 4096  2005                1.065600000
## 4097  2006                0.911858974
## 4098  2007                1.163029525
## 4099  2008                1.531250000
## 4100  2009                0.766272189
## 4101  2010                1.083550914
## 4102  2011                1.219178082
## 4103  2012                1.226950355
## 4104  2013                1.212871287
## 4105  2014                1.048309179
## 4106  2015                0.914438503
## 4107  2016                1.180555556
## 4108  2017                2.736842105
## 4109  1966                        NaN
## 4110  1967                        NaN
## 4111  1968                        NaN
## 4112  1969                        NaN
## 4113  1970                        NaN
## 4114  1971                        NaN
## 4115  1972                        NaN
## 4116  1973                        NaN
## 4117  1974                        NaN
## 4118  1975                        NaN
## 4119  1976                        NaN
## 4120  1977                        NaN
## 4121  1978                        NaN
## 4122  1979                        NaN
## 4123  1980                1.400000000
## 4124  1981                1.400000000
## 4125  1982                1.250000000
## 4126  1983                1.200000000
## 4127  1984                        NaN
## 4128  1985                        NaN
## 4129  1986                        NaN
## 4130  1987                1.333333333
## 4131  1988                1.600000000
## 4132  1989                        NaN
## 4133  1990                        NaN
## 4134  1991                        NaN
## 4135  1992                        NaN
## 4136  1993                        NaN
## 4137  1994                        NaN
## 4138  1995                        NaN
## 4139  1996                        NaN
## 4140  1997                        NaN
## 4141  1998                        NaN
## 4142  1999                        NaN
## 4143  2000                        NaN
## 4144  2001                        NaN
## 4145  2002                        NaN
## 4146  2003                        NaN
## 4147  2004                        NaN
## 4148  2005                        NaN
## 4149  2006                        NaN
## 4150  2007                        NaN
## 4151  2008                        NaN
## 4152  2009                        NaN
## 4153  2010                        NaN
## 4154  2011                        NaN
## 4155  2012                        NaN
## 4156  2013                        NaN
## 4157  2014                        NaN
## 4158  2015                        NaN
## 4159  2016                        NaN
## 4160  2017                        NaN
## 4161  1966                        NaN
## 4162  1967                        NaN
## 4163  1968                3.333333333
## 4164  1969                0.000000000
## 4165  1970                1.200000000
## 4166  1971                0.666666667
## 4167  1972                0.666666667
## 4168  1973                1.250000000
## 4169  1974                1.600000000
## 4170  1975                1.166666667
## 4171  1976                1.400000000
## 4172  1977                2.166666667
## 4173  1978                1.500000000
## 4174  1979                1.666666667
## 4175  1980                        NaN
## 4176  1981                        NaN
## 4177  1982                1.600000000
## 4178  1983                        NaN
## 4179  1984                1.500000000
## 4180  1985                1.333333333
## 4181  1986                1.300000000
## 4182  1987                1.000000000
## 4183  1988                1.333333333
## 4184  1989                1.750000000
## 4185  1990                0.208333333
## 4186  1991                0.947368421
## 4187  1992                0.914285714
## 4188  1993                1.191489362
## 4189  1994                0.800000000
## 4190  1995                0.739130435
## 4191  1996                0.966666667
## 4192  1997                0.714285714
## 4193  1998                0.916666667
## 4194  1999                0.800000000
## 4195  2000                1.071428571
## 4196  2001                0.818181818
## 4197  2002                0.444444444
## 4198  2003                0.555555556
## 4199  2004                1.428571429
## 4200  2005                1.434782609
## 4201  2006                1.076923077
## 4202  2007                1.625000000
## 4203  2008                1.500000000
## 4204  2009                1.000000000
## 4205  2010                1.500000000
## 4206  2011                        NaN
## 4207  2012                1.000000000
## 4208  2013                        NaN
## 4209  2014                        NaN
## 4210  2015                        NaN
## 4211  2016                        NaN
## 4212  2017                        NaN
## 4213  1966                        NaN
## 4214  1967                        NaN
## 4215  1968                        NaN
## 4216  1969                        NaN
## 4217  1970                        NaN
## 4218  1971                        NaN
## 4219  1972                        NaN
## 4220  1973                2.000000000
## 4221  1974                1.500000000
## 4222  1975                1.500000000
## 4223  1976                1.000000000
## 4224  1977                2.333333333
## 4225  1978                2.333333333
## 4226  1979                1.400000000
## 4227  1980                1.000000000
## 4228  1981                        NaN
## 4229  1982                1.000000000
## 4230  1983                0.000000000
## 4231  1984                1.000000000
## 4232  1985                        NaN
## 4233  1986                        NaN
## 4234  1987                        NaN
## 4235  1988                        NaN
## 4236  1989                        NaN
## 4237  1990                        NaN
## 4238  1991                        NaN
## 4239  1992                        NaN
## 4240  1993                        NaN
## 4241  1994                        NaN
## 4242  1995                        NaN
## 4243  1996                        NaN
## 4244  1997                        NaN
## 4245  1998                        NaN
## 4246  1999                        NaN
## 4247  2000                        NaN
## 4248  2001                        NaN
## 4249  2002                        NaN
## 4250  2003                        NaN
## 4251  2004                        NaN
## 4252  2005                        NaN
## 4253  2006                        NaN
## 4254  2007                        NaN
## 4255  2008                        NaN
## 4256  2009                        NaN
## 4257  2010                        NaN
## 4258  2011                        NaN
## 4259  2012                        NaN
## 4260  2013                        NaN
## 4261  2014                        NaN
## 4262  2015                        NaN
## 4263  2016                        NaN
## 4264  2017                        NaN
## 4265  1966                0.625000000
## 4266  1967                0.625000000
## 4267  1968                0.625000000
## 4268  1969                0.653846154
## 4269  1970                1.200000000
## 4270  1971                0.875000000
## 4271  1972                1.300000000
## 4272  1973                0.818181818
## 4273  1974                0.272727273
## 4274  1975                0.750000000
## 4275  1976                1.100000000
## 4276  1977                1.285714286
## 4277  1978                1.750000000
## 4278  1979                0.833333333
## 4279  1980                0.500000000
## 4280  1981                1.000000000
## 4281  1982                0.285714286
## 4282  1983                0.714285714
## 4283  1984                0.428571429
## 4284  1985                1.166666667
## 4285  1986                0.666666667
## 4286  1987                1.000000000
## 4287  1988                0.714285714
## 4288  1989                0.750000000
## 4289  1990                0.625000000
## 4290  1991                0.812500000
## 4291  1992                0.115384615
## 4292  1993                0.454545455
## 4293  1994                0.384615385
## 4294  1995                0.200000000
## 4295  1996                0.000000000
## 4296  1997                0.000000000
## 4297  1998                0.000000000
## 4298  1999                0.000000000
## 4299  2000                0.000000000
## 4300  2001                0.000000000
## 4301  2002                0.750000000
## 4302  2003                0.571428571
## 4303  2004                0.642857143
## 4304  2005                0.687500000
## 4305  2006                1.250000000
## 4306  2007                0.600000000
## 4307  2008                0.750000000
## 4308  2009                0.000000000
## 4309  2010                0.833333333
## 4310  2011                2.000000000
## 4311  2012                0.666666667
## 4312  2013                1.111111111
## 4313  2014                2.000000000
## 4314  2015                1.000000000
## 4315  2016                        NaN
## 4316  2017                1.000000000
## 4317  1966                0.850415512
## 4318  1967                0.850000000
## 4319  1968                0.736231884
## 4320  1969                0.851744186
## 4321  1970                0.834710744
## 4322  1971                0.970760234
## 4323  1972                0.660493827
## 4324  1973                0.944099379
## 4325  1974                0.681318681
## 4326  1975                1.019108280
## 4327  1976                2.087947883
## 4328  1977                1.358166189
## 4329  1978                1.502824859
## 4330  1979                1.779342723
## 4331  1980                0.773809524
## 4332  1981                0.699152542
## 4333  1982                0.527472527
## 4334  1983                1.152466368
## 4335  1984                1.379464286
## 4336  1985                1.650205761
## 4337  1986                2.614349776
## 4338  1987                1.372881356
## 4339  1988                1.544217687
## 4340  1989                0.957446809
## 4341  1990                0.876628352
## 4342  1991                0.796597061
## 4343  1992                1.022148394
## 4344  1993                1.518987342
## 4345  1994                1.690763052
## 4346  1995                1.066563467
## 4347  1996                0.694444444
## 4348  1997                1.031775701
## 4349  1998                0.887029289
## 4350  1999                0.878962536
## 4351  2000                0.550898204
## 4352  2001                0.801699717
## 4353  2002                0.565217391
## 4354  2003                0.539923954
## 4355  2004                0.527210884
## 4356  2005                0.638095238
## 4357  2006                0.926229508
## 4358  2007                0.719101124
## 4359  2008                0.482558140
## 4360  2009                0.000000000
## 4361  2010                0.806250000
## 4362  2011                1.000000000
## 4363  2012                0.723404255
## 4364  2013                1.066666667
## 4365  2014                2.031250000
## 4366  2015                1.029411765
## 4367  2016                0.835616438
## 4368  2017                1.138686131
## 4369  1966                0.783707865
## 4370  1967                0.750000000
## 4371  1968                0.689497717
## 4372  1969                0.781045752
## 4373  1970                0.893687708
## 4374  1971                0.996894410
## 4375  1972                1.164502165
## 4376  1973                0.823321555
## 4377  1974                0.554794521
## 4378  1975                1.319548872
## 4379  1976                1.278884462
## 4380  1977                1.020833333
## 4381  1978                1.143884892
## 4382  1979                2.181132075
## 4383  1980                0.810218978
## 4384  1981                0.797468354
## 4385  1982                0.703703704
## 4386  1983                0.874306839
## 4387  1984                0.939058172
## 4388  1985                0.969879518
## 4389  1986                0.972307692
## 4390  1987                1.281899110
## 4391  1988                1.151057402
## 4392  1989                1.567049808
## 4393  1990                1.187628866
## 4394  1991                0.744351194
## 4395  1992                1.185185185
## 4396  1993                1.522716404
## 4397  1994                1.529512894
## 4398  1995                1.278113664
## 4399  1996                1.279822335
## 4400  1997                0.888888889
## 4401  1998                1.158285714
## 4402  1999                1.124024961
## 4403  2000                0.944182390
## 4404  2001                1.338403042
## 4405  2002                1.141547862
## 4406  2003                1.027456647
## 4407  2004                1.237853517
## 4408  2005                1.158167675
## 4409  2006                1.010669253
## 4410  2007                1.294117647
## 4411  2008                0.776687117
## 4412  2009                0.000000000
## 4413  2010                0.601070950
## 4414  2011                1.549167927
## 4415  2012                0.814144737
## 4416  2013                0.924882629
## 4417  2014                2.751366120
## 4418  2015                1.602427921
## 4419  2016                1.293135436
## 4420  2017                1.510080645
## 4421  1966                0.852097130
## 4422  1967                0.838095238
## 4423  1968                0.727272727
## 4424  1969                0.799445471
## 4425  1970                0.696236559
## 4426  1971                0.513290559
## 4427  1972                0.727081138
## 4428  1973                0.596741344
## 4429  1974                0.392344498
## 4430  1975                0.625632378
## 4431  1976                0.844651952
## 4432  1977                1.093234323
## 4433  1978                0.870201097
## 4434  1979                0.915854739
## 4435  1980                1.071115974
## 4436  1981                1.119667014
## 4437  1982                1.099579243
## 4438  1983                0.906072874
## 4439  1984                0.614063778
## 4440  1985                1.098666667
## 4441  1986                1.548981571
## 4442  1987                1.950310559
## 4443  1988                1.200000000
## 4444  1989                1.008573655
## 4445  1990                1.328902852
## 4446  1991                1.163965682
## 4447  1992                1.237881264
## 4448  1993                1.221437126
## 4449  1994                1.342209857
## 4450  1995                1.116488464
## 4451  1996                0.925171440
## 4452  1997                0.850535429
## 4453  1998                1.654402102
## 4454  1999                1.502292877
## 4455  2000                0.933956574
## 4456  2001                0.998299898
## 4457  2002                0.517530864
## 4458  2003                0.573772752
## 4459  2004                0.812414867
## 4460  2005                0.853439040
## 4461  2006                1.134532062
## 4462  2007                0.984647113
## 4463  2008                0.782415254
## 4464  2009                0.000000000
## 4465  2010                0.963032976
## 4466  2011                1.228264518
## 4467  2012                0.631974450
## 4468  2013                1.080007902
## 4469  2014                1.943753015
## 4470  2015                0.897225919
## 4471  2016                0.735082522
## 4472  2017                0.872182377
## 4473  1966                0.728461538
## 4474  1967                0.719759579
## 4475  1968                0.858860759
## 4476  1969                0.699656751
## 4477  1970                0.591523342
## 4478  1971                0.456403270
## 4479  1972                0.462381300
## 4480  1973                0.763029316
## 4481  1974                0.171250000
## 4482  1975                0.453425333
## 4483  1976                0.594399277
## 4484  1977                0.708418891
## 4485  1978                0.868380463
## 4486  1979                0.550788955
## 4487  1980                0.750446694
## 4488  1981                0.589400428
## 4489  1982                0.538585209
## 4490  1983                0.599808061
## 4491  1984                0.636831276
## 4492  1985                0.639111111
## 4493  1986                0.572413793
## 4494  1987                0.495252374
## 4495  1988                0.332476435
## 4496  1989                0.554852321
## 4497  1990                0.383718044
## 4498  1991                0.297177246
## 4499  1992                0.498334291
## 4500  1993                0.362370944
## 4501  1994                0.486077077
## 4502  1995                0.323269724
## 4503  1996                0.369897054
## 4504  1997                0.645501433
## 4505  1998                0.426152614
## 4506  1999                0.383701188
## 4507  2000                0.298973092
## 4508  2001                0.359994531
## 4509  2002                0.248414376
## 4510  2003                0.290270619
## 4511  2004                0.326622887
## 4512  2005                0.362313034
## 4513  2006                1.229490501
## 4514  2007                0.661211129
## 4515  2008                0.353563648
## 4516  2009                0.000000000
## 4517  2010                0.568023833
## 4518  2011                0.720512821
## 4519  2012                0.555832813
## 4520  2013                0.772212066
## 4521  2014                1.235457064
## 4522  2015                0.835135135
## 4523  2016                0.926813041
## 4524  2017                0.607736804
## 4525  1966                0.651254954
## 4526  1967                0.640211640
## 4527  1968                0.583603020
## 4528  1969                0.650323774
## 4529  1970                0.578154426
## 4530  1971                0.466222645
## 4531  1972                0.535379369
## 4532  1973                0.602040816
## 4533  1974                0.330316742
## 4534  1975                0.693721286
## 4535  1976                0.726070039
## 4536  1977                0.619706840
## 4537  1978                0.645614035
## 4538  1979                0.746747615
## 4539  1980                0.674280040
## 4540  1981                0.373484848
## 4541  1982                0.401197605
## 4542  1983                0.300469484
## 4543  1984                0.625830258
## 4544  1985                0.848528356
## 4545  1986                0.723362012
## 4546  1987                1.229473684
## 4547  1988                1.062197092
## 4548  1989                0.977980258
## 4549  1990                0.855315365
## 4550  1991                1.191747075
## 4551  1992                0.752360258
## 4552  1993                0.614085603
## 4553  1994                0.645916496
## 4554  1995                0.542622285
## 4555  1996                0.446345111
## 4556  1997                0.962021702
## 4557  1998                0.719069008
## 4558  1999                0.871544127
## 4559  2000                0.816648465
## 4560  2001                0.592230949
## 4561  2002                0.592605430
## 4562  2003                0.563087580
## 4563  2004                0.412702133
## 4564  2005                0.344701777
## 4565  2006                0.656152358
## 4566  2007                0.614408177
## 4567  2008                0.337685364
## 4568  2009                0.000000000
## 4569  2010                0.451495399
## 4570  2011                0.588994207
## 4571  2012                0.643821742
## 4572  2013                0.935261194
## 4573  2014                1.728008833
## 4574  2015                0.699845281
## 4575  2016                0.715851272
## 4576  2017                1.324732123
## 4577  1966                1.153846154
## 4578  1967                1.153846154
## 4579  1968                1.500000000
## 4580  1969                1.333333333
## 4581  1970                0.875000000
## 4582  1971                1.000000000
## 4583  1972                1.000000000
## 4584  1973                2.111111111
## 4585  1974                1.000000000
## 4586  1975                0.600000000
## 4587  1976                0.750000000
## 4588  1977                1.200000000
## 4589  1978                1.363636364
## 4590  1979                1.090909091
## 4591  1980                1.500000000
## 4592  1981                3.000000000
## 4593  1982                1.400000000
## 4594  1983                1.833333333
## 4595  1984                0.875000000
## 4596  1985                0.818181818
## 4597  1986                1.090909091
## 4598  1987                0.875000000
## 4599  1988                1.500000000
## 4600  1989                0.818181818
## 4601  1990                0.418414918
## 4602  1991                0.347290640
## 4603  1992                0.231591449
## 4604  1993                0.316872428
## 4605  1994                0.375838926
## 4606  1995                0.210526316
## 4607  1996                0.428571429
## 4608  1997                0.861904762
## 4609  1998                0.770538244
## 4610  1999                0.831632653
## 4611  2000                0.090651558
## 4612  2001                0.238219895
## 4613  2002                0.118644068
## 4614  2003                0.554347826
## 4615  2004                0.625000000
## 4616  2005                0.333333333
## 4617  2006                0.400000000
## 4618  2007                1.000000000
## 4619  2008                0.351351351
## 4620  2009                0.000000000
## 4621  2010                0.230366492
## 4622  2011                0.606060606
## 4623  2012                0.416666667
## 4624  2013                0.479704797
## 4625  2014                0.566115702
## 4626  2015                0.320512821
## 4627  2016                0.320000000
## 4628  2017                0.394833948
## 4629  1966                0.917763158
## 4630  1967                0.920000000
## 4631  1968                0.758964143
## 4632  1969                0.950682057
## 4633  1970                1.104316547
## 4634  1971                0.832000000
## 4635  1972                1.155251142
## 4636  1973                1.193229901
## 4637  1974                0.367073171
## 4638  1975                1.011854361
## 4639  1976                0.922547332
## 4640  1977                1.073891626
## 4641  1978                1.249706917
## 4642  1979                1.288297872
## 4643  1980                1.292307692
## 4644  1981                0.534936999
## 4645  1982                0.587223587
## 4646  1983                0.696655133
## 4647  1984                0.765652952
## 4648  1985                1.495263870
## 4649  1986                1.027149321
## 4650  1987                1.600459242
## 4651  1988                1.585305106
## 4652  1989                1.328326180
## 4653  1990                1.503691907
## 4654  1991                1.684202877
## 4655  1992                1.581131553
## 4656  1993                1.414390683
## 4657  1994                2.170864428
## 4658  1995                0.994361866
## 4659  1996                1.463626343
## 4660  1997                0.974802928
## 4661  1998                1.228005527
## 4662  1999                1.356434132
## 4663  2000                1.376340367
## 4664  2001                1.345607575
## 4665  2002                0.973594687
## 4666  2003                0.887406617
## 4667  2004                1.016404555
## 4668  2005                1.103400309
## 4669  2006                1.862778316
## 4670  2007                1.779009434
## 4671  2008                1.394863563
## 4672  2009                0.000000000
## 4673  2010                1.452978530
## 4674  2011                1.747943596
## 4675  2012                1.210957501
## 4676  2013                1.773361976
## 4677  2014                3.177999396
## 4678  2015                2.148478489
## 4679  2016                1.647790055
## 4680  2017                2.155096419
## 4681  1966                0.797752809
## 4682  1967                0.804347826
## 4683  1968                0.582608696
## 4684  1969                0.750000000
## 4685  1970                0.697674419
## 4686  1971                0.833333333
## 4687  1972                0.785714286
## 4688  1973                0.909090909
## 4689  1974                0.115384615
## 4690  1975                0.346774194
## 4691  1976                0.659259259
## 4692  1977                1.028037383
## 4693  1978                1.365591398
## 4694  1979                0.933884298
## 4695  1980                0.778846154
## 4696  1981                0.916666667
## 4697  1982                0.871287129
## 4698  1983                1.053763441
## 4699  1984                1.011363636
## 4700  1985                1.072000000
## 4701  1986                1.131034483
## 4702  1987                1.268292683
## 4703  1988                1.435294118
## 4704  1989                0.949579832
## 4705  1990                1.331510595
## 4706  1991                1.257868020
## 4707  1992                1.480934809
## 4708  1993                1.337175793
## 4709  1994                1.139482565
## 4710  1995                0.754874652
## 4711  1996                1.586315789
## 4712  1997                0.948480845
## 4713  1998                1.073414905
## 4714  1999                0.935294118
## 4715  2000                0.915376677
## 4716  2001                0.925874126
## 4717  2002                0.591411043
## 4718  2003                0.766114180
## 4719  2004                0.737131091
## 4720  2005                0.577046549
## 4721  2006                0.965909091
## 4722  2007                0.837837838
## 4723  2008                1.570519618
## 4724  2009                0.000000000
## 4725  2010                0.538666667
## 4726  2011                0.445333333
## 4727  2012                0.915966387
## 4728  2013                2.264550265
## 4729  2014                2.034267913
## 4730  2015                2.189189189
## 4731  2016                1.012500000
## 4732  2017                1.138996139
## 4733  1966                1.049504950
## 4734  1967                1.052631579
## 4735  1968                0.903508772
## 4736  1969                1.102678571
## 4737  1970                0.976958525
## 4738  1971                1.098901099
## 4739  1972                1.515151515
## 4740  1973                1.313901345
## 4741  1974                1.229508197
## 4742  1975                0.746606335
## 4743  1976                0.909547739
## 4744  1977                1.715846995
## 4745  1978                2.674074074
## 4746  1979                2.191176471
## 4747  1980                1.189349112
## 4748  1981                2.004926108
## 4749  1982                0.678787879
## 4750  1983                0.903030303
## 4751  1984                1.079365079
## 4752  1985                1.462184874
## 4753  1986                1.365217391
## 4754  1987                0.492063492
## 4755  1988                0.607692308
## 4756  1989                1.376470588
## 4757  1990                1.785645005
## 4758  1991                2.160919540
## 4759  1992                2.273399015
## 4760  1993                2.269284712
## 4761  1994                2.424148607
## 4762  1995                2.325695581
## 4763  1996                2.730109204
## 4764  1997                1.526000000
## 4765  1998                1.511265165
## 4766  1999                1.765199161
## 4767  2000                2.397941681
## 4768  2001                1.437037037
## 4769  2002                0.590425532
## 4770  2003                0.586121437
## 4771  2004                0.632377740
## 4772  2005                0.684675835
## 4773  2006                0.271186441
## 4774  2007                0.280423280
## 4775  2008                0.305882353
## 4776  2009                0.000000000
## 4777  2010                0.808139535
## 4778  2011                1.093896714
## 4779  2012                0.723684211
## 4780  2013                2.515151515
## 4781  2014                2.915789474
## 4782  2015                3.871794872
## 4783  2016                0.831632653
## 4784  2017                3.593750000
## 4785  1966                0.000000000
## 4786  1967                1.000000000
## 4787  1968                        NaN
## 4788  1969                1.000000000
## 4789  1970                0.000000000
## 4790  1971                1.000000000
## 4791  1972                1.000000000
## 4792  1973                0.000000000
## 4793  1974                0.000000000
## 4794  1975                0.000000000
## 4795  1976                0.000000000
## 4796  1977                0.000000000
## 4797  1978                1.000000000
## 4798  1979                1.000000000
## 4799  1980                1.000000000
## 4800  1981                1.000000000
## 4801  1982                1.000000000
## 4802  1983                        NaN
## 4803  1984                        NaN
## 4804  1985                        NaN
## 4805  1986                        NaN
## 4806  1987                        NaN
## 4807  1988                        NaN
## 4808  1989                        NaN
## 4809  1990                1.000000000
## 4810  1991                        NaN
## 4811  1992                        NaN
## 4812  1993                        NaN
## 4813  1994                        NaN
## 4814  1995                        NaN
## 4815  1996                        NaN
## 4816  1997                0.000000000
## 4817  1998                1.000000000
## 4818  1999                        NaN
## 4819  2000                        NaN
## 4820  2001                        NaN
## 4821  2002                        NaN
## 4822  2003                        NaN
## 4823  2004                        NaN
## 4824  2005                        NaN
## 4825  2006                        NaN
## 4826  2007                        NaN
## 4827  2008                        NaN
## 4828  2009                        NaN
## 4829  2010                        NaN
## 4830  2011                        NaN
## 4831  2012                        NaN
## 4832  2013                1.000000000
## 4833  2014                        NaN
## 4834  2015                        NaN
## 4835  2016                        NaN
## 4836  2017                        NaN
## 4837  1966                0.500000000
## 4838  1967                1.000000000
## 4839  1968                1.000000000
## 4840  1969                1.000000000
## 4841  1970                1.000000000
## 4842  1971                1.000000000
## 4843  1972                1.500000000
## 4844  1973                0.000000000
## 4845  1974                0.000000000
## 4846  1975                        NaN
## 4847  1976                0.000000000
## 4848  1977                        NaN
## 4849  1978                        NaN
## 4850  1979                        NaN
## 4851  1980                        NaN
## 4852  1981                        NaN
## 4853  1982                        NaN
## 4854  1983                1.000000000
## 4855  1984                        NaN
## 4856  1985                        NaN
## 4857  1986                1.000000000
## 4858  1987                        NaN
## 4859  1988                        NaN
## 4860  1989                        NaN
## 4861  1990                        NaN
## 4862  1991                        NaN
## 4863  1992                        NaN
## 4864  1993                        NaN
## 4865  1994                        NaN
## 4866  1995                        NaN
## 4867  1996                        NaN
## 4868  1997                        NaN
## 4869  1998                        NaN
## 4870  1999                        NaN
## 4871  2000                        NaN
## 4872  2001                        NaN
## 4873  2002                        NaN
## 4874  2003                        NaN
## 4875  2004                        NaN
## 4876  2005                        NaN
## 4877  2006                        NaN
## 4878  2007                        NaN
## 4879  2008                        NaN
## 4880  2009                        NaN
## 4881  2010                        NaN
## 4882  2011                        NaN
## 4883  2012                        NaN
## 4884  2013                        NaN
## 4885  2014                        Inf
## 4886  2015                        NaN
## 4887  2016                        NaN
## 4888  2017                        NaN
## 4889  1966                        NaN
## 4890  1967                        NaN
## 4891  1968                        NaN
## 4892  1969                        NaN
## 4893  1970                        NaN
## 4894  1971                        NaN
## 4895  1972                        NaN
## 4896  1973                        NaN
## 4897  1974                        NaN
## 4898  1975                        NaN
## 4899  1976                        NaN
## 4900  1977                        NaN
## 4901  1978                        NaN
## 4902  1979                        NaN
## 4903  1980                2.000000000
## 4904  1981                        NaN
## 4905  1982                        NaN
## 4906  1983                        NaN
## 4907  1984                        NaN
## 4908  1985                        NaN
## 4909  1986                        NaN
## 4910  1987                        NaN
## 4911  1988                        NaN
## 4912  1989                        NaN
## 4913  1990                        NaN
## 4914  1991                        NaN
## 4915  1992                        NaN
## 4916  1993                        NaN
## 4917  1994                        NaN
## 4918  1995                        NaN
## 4919  1996                        NaN
## 4920  1997                        NaN
## 4921  1998                        NaN
## 4922  1999                        NaN
## 4923  2000                        NaN
## 4924  2001                        NaN
## 4925  2002                        NaN
## 4926  2003                        NaN
## 4927  2004                        NaN
## 4928  2005                        NaN
## 4929  2006                        NaN
## 4930  2007                        NaN
## 4931  2008                        NaN
## 4932  2009                        NaN
## 4933  2010                        NaN
## 4934  2011                        NaN
## 4935  2012                        NaN
## 4936  2016                        NaN
## 4937  1966                        NaN
## 4938  1967                0.250000000
## 4939  1968                0.400000000
## 4940  1969                0.500000000
## 4941  1970                0.500000000
## 4942  1971                0.200000000
## 4943  1972                0.250000000
## 4944  1973                0.600000000
## 4945  1974                0.750000000
## 4946  1975                1.200000000
## 4947  1976                1.600000000
## 4948  1977                1.400000000
## 4949  1978                1.200000000
## 4950  1979                1.000000000
## 4951  1980                2.000000000
## 4952  1981                1.000000000
## 4953  1982                        NaN
## 4954  1983                        NaN
## 4955  1984                        NaN
## 4956  1985                        NaN
## 4957  1986                        NaN
## 4958  1987                        NaN
## 4959  1988                        NaN
## 4960  1989                        NaN
## 4961  1990                2.000000000
## 4962  1991                1.000000000
## 4963  1992                        NaN
## 4964  1993                        NaN
## 4965  1994                        NaN
## 4966  1995                        NaN
## 4967  1996                        NaN
## 4968  1997                1.666666667
## 4969  1998                        NaN
## 4970  1999                        NaN
## 4971  2000                        NaN
## 4972  2001                        NaN
## 4973  2002                        NaN
## 4974  2003                        NaN
## 4975  2004                        NaN
## 4976  2005                        NaN
## 4977  2006                        NaN
## 4978  2007                        NaN
## 4979  2008                        NaN
## 4980  2009                        NaN
## 4981  2010                        NaN
## 4982  2011                        NaN
## 4983  2012                        NaN
## 4984  2013                        NaN
## 4985  2014                        NaN
## 4986  2015                        NaN
## 4987  2016                        NaN
## 4988  2017                        NaN
## 4989  1966                        NaN
## 4990  1967                        NaN
## 4991  1968                        NaN
## 4992  1969                        NaN
## 4993  1970                        NaN
## 4994  1971                        NaN
## 4995  1972                        NaN
## 4996  1973                        NaN
## 4997  1974                2.000000000
## 4998  1975                2.756756757
## 4999  1976                1.428571429
## 5000  1977                        NaN
## 5001  1978                1.000000000
## 5002  1979                1.000000000
## 5003  1980                        NaN
## 5004  1981                        NaN
## 5005  1982                        NaN
## 5006  1983                        NaN
## 5007  1984                        NaN
## 5008  1985                        NaN
## 5009  1986                        NaN
## 5010  1987                        NaN
## 5011  1988                        NaN
## 5012  1989                        NaN
## 5013  1990                        NaN
## 5014  1991                        NaN
## 5015  1992                        NaN
## 5016  1993                        NaN
## 5017  1994                        NaN
## 5018  1995                        NaN
## 5019  1996                        NaN
## 5020  1997                        NaN
## 5021  1998                        NaN
## 5022  1999                        NaN
## 5023  2000                        NaN
## 5024  2001                        NaN
## 5025  2002                        NaN
## 5026  2003                        NaN
## 5027  2004                        NaN
## 5028  2005                        NaN
## 5029  2006                        NaN
## 5030  2007                        NaN
## 5031  2008                        NaN
## 5032  2009                        NaN
## 5033  2010                        NaN
## 5034  2011                        NaN
## 5035  2012                        NaN
## 5036  2013                        NaN
## 5037  2014                        NaN
## 5038  2015                        NaN
## 5039  2016                        NaN
## 5040  2017                        NaN
## 5041  1966                        NaN
## 5042  1967                        NaN
## 5043  1968                        NaN
## 5044  1969                        NaN
## 5045  1970                        NaN
## 5046  1971                        NaN
## 5047  1972                        NaN
## 5048  1973                        NaN
## 5049  1974                        NaN
## 5050  1975                2.333333333
## 5051  1976                1.666666667
## 5052  1977                0.500000000
## 5053  1978                        NaN
## 5054  1979                        NaN
## 5055  1980                        NaN
## 5056  1981                        NaN
## 5057  1982                        NaN
## 5058  1983                        NaN
## 5059  1984                        NaN
## 5060  1985                        NaN
## 5061  1986                        NaN
## 5062  1987                        NaN
## 5063  1988                        NaN
## 5064  1989                        NaN
## 5065  1990                        NaN
## 5066  1991                        NaN
## 5067  1992                        NaN
## 5068  1993                        NaN
## 5069  1994                        NaN
## 5070  1995                        NaN
## 5071  1996                        NaN
## 5072  1997                        NaN
## 5073  1998                        NaN
## 5074  1999                        NaN
## 5075  2000                        NaN
## 5076  2001                        NaN
## 5077  2002                        NaN
## 5078  2003                        NaN
## 5079  2004                        NaN
## 5080  2005                        NaN
## 5081  2006                        NaN
## 5082  2007                        NaN
## 5083  2008                        NaN
## 5084  2009                        NaN
## 5085  2010                        NaN
## 5086  2011                        NaN
## 5087  2012                        NaN
## 5088  2013                        NaN
## 5089  2014                        NaN
## 5090  2015                        NaN
## 5091  2016                        NaN
## 5092  2017                        NaN
## 5093  1966                0.172043011
## 5094  1967                0.312500000
## 5095  1968                0.308411215
## 5096  1969                0.616279070
## 5097  1970                0.615384615
## 5098  1971                0.260869565
## 5099  1972                0.236842105
## 5100  1973                0.500000000
## 5101  1974                0.968992248
## 5102  1975                2.035502959
## 5103  1976                1.780246914
## 5104  1977                1.393258427
## 5105  1978                1.027950311
## 5106  1979                1.022082019
## 5107  1980                1.676190476
## 5108  1981                1.815699659
## 5109  1982                0.901360544
## 5110  1983                0.987179487
## 5111  1984                1.222222222
## 5112  1985                0.728873239
## 5113  1986                0.623693380
## 5114  1987                0.985865724
## 5115  1988                1.593750000
## 5116  1989                1.447058824
## 5117  1990                1.668000000
## 5118  1991                1.031674208
## 5119  1992                1.718614719
## 5120  1993                1.125000000
## 5121  1994                1.208144796
## 5122  1995                0.948979592
## 5123  1996                1.505376344
## 5124  1997                1.226804124
## 5125  1998                1.490322581
## 5126  1999                1.063380282
## 5127  2000                0.832000000
## 5128  2001                0.891666667
## 5129  2002                1.217391304
## 5130  2003                0.666666667
## 5131  2004                1.230769231
## 5132  2005                0.945945946
## 5133  2006                0.800000000
## 5134  2007                0.772222222
## 5135  2008                1.272727273
## 5136  2009                0.700000000
## 5137  2010                1.166666667
## 5138  2011                1.330508475
## 5139  2012                1.888235294
## 5140  2013                1.985074627
## 5141  2014                        NaN
## 5142  2015                0.875000000
## 5143  2016                1.909090909
## 5144  2017                1.375000000
## 5145  1966                0.335216573
## 5146  1967                0.388794567
## 5147  1968                0.389140271
## 5148  1969                0.692307692
## 5149  1970                0.692640693
## 5150  1971                0.298550725
## 5151  1972                0.279411765
## 5152  1973                0.563106796
## 5153  1974                0.891304348
## 5154  1975                1.185975610
## 5155  1976                1.141145140
## 5156  1977                1.027544910
## 5157  1978                0.781100478
## 5158  1979                0.827400216
## 5159  1980                1.026815642
## 5160  1981                1.229015544
## 5161  1982                0.508493771
## 5162  1983                1.174537988
## 5163  1984                0.997833153
## 5164  1985                0.491874323
## 5165  1986                0.704684318
## 5166  1987                0.975728155
## 5167  1988                1.344897959
## 5168  1989                1.367446394
## 5169  1990                1.278957529
## 5170  1991                0.809267241
## 5171  1992                1.435452794
## 5172  1993                1.367914439
## 5173  1994                1.340970350
## 5174  1995                1.036979969
## 5175  1996                1.492492492
## 5176  1997                1.263392857
## 5177  1998                1.756256801
## 5178  1999                0.922114047
## 5179  2000                0.604081633
## 5180  2001                1.318777293
## 5181  2002                1.119155354
## 5182  2003                1.655502392
## 5183  2004                1.214165261
## 5184  2005                1.182464455
## 5185  2006                1.107526882
## 5186  2007                1.907039711
## 5187  2008                1.332640333
## 5188  2009                1.263931298
## 5189  2010                1.898848369
## 5190  2011                2.003813559
## 5191  2012                1.806736842
## 5192  2013                1.517598344
## 5193  2014                1.113281250
## 5194  2015                0.972495088
## 5195  2016                1.405504587
## 5196  2017                1.499186992
## 5197  1966                0.747043364
## 5198  1967                1.038057743
## 5199  1968                1.130026810
## 5200  1969                0.920799408
## 5201  1970                0.373038516
## 5202  1971                0.551174497
## 5203  1972                0.656557998
## 5204  1973                0.553454545
## 5205  1974                0.975838926
## 5206  1975                1.391409558
## 5207  1976                1.087525151
## 5208  1977                1.552935737
## 5209  1978                1.306532663
## 5210  1979                1.422071636
## 5211  1980                1.265089329
## 5212  1981                1.404235727
## 5213  1982                1.228070175
## 5214  1983                1.373635967
## 5215  1984                1.094612947
## 5216  1985                0.835740072
## 5217  1986                1.082352941
## 5218  1987                1.605645496
## 5219  1988                1.438374718
## 5220  1989                1.884162896
## 5221  1990                1.594189316
## 5222  1991                1.228774784
## 5223  1992                2.190354247
## 5224  1993                1.885450346
## 5225  1994                1.953034301
## 5226  1995                1.716981132
## 5227  1996                2.212925563
## 5228  1997                2.028589994
## 5229  1998                2.030514940
## 5230  1999                1.634800550
## 5231  2000                1.175932442
## 5232  2001                1.498961938
## 5233  2002                2.114817191
## 5234  2003                1.870071105
## 5235  2004                1.829433962
## 5236  2005                2.012908125
## 5237  2006                1.899613900
## 5238  2007                2.269775187
## 5239  2008                1.925925926
## 5240  2009                2.021080602
## 5241  2010                2.311935209
## 5242  2011                2.346763540
## 5243  2012                1.938064516
## 5244  2013                2.297680412
## 5245  2014                2.235514019
## 5246  2015                1.244660194
## 5247  2016                2.302367942
## 5248  2017                1.899461400
## 5249  1966                0.600000000
## 5250  1967                0.760000000
## 5251  1968                1.000000000
## 5252  1969                0.866666667
## 5253  1970                0.882352941
## 5254  1971                0.909090909
## 5255  1972                0.105263158
## 5256  1973                0.777777778
## 5257  1974                1.315789474
## 5258  1975                1.780564263
## 5259  1976                2.038781163
## 5260  1977                1.748618785
## 5261  1978                1.669934641
## 5262  1979                1.151394422
## 5263  1980                1.488188976
## 5264  1981                1.046875000
## 5265  1982                0.986206897
## 5266  1983                1.371428571
## 5267  1984                1.067484663
## 5268  1985                0.905109489
## 5269  1986                1.256198347
## 5270  1987                1.372093023
## 5271  1988                1.977777778
## 5272  1989                1.672897196
## 5273  1990                1.822222222
## 5274  1991                0.523364486
## 5275  1992                1.947368421
## 5276  1993                1.486486486
## 5277  1994                1.313725490
## 5278  1995                2.000000000
## 5279  1996                1.148148148
## 5280  1997                1.218181818
## 5281  1998                1.666666667
## 5282  1999                0.875000000
## 5283  2000                0.875000000
## 5284  2001                0.500000000
## 5285  2002                1.000000000
## 5286  2003                2.000000000
## 5287  2004                1.000000000
## 5288  2005                1.000000000
## 5289  2006                1.000000000
## 5290  2007                1.400000000
## 5291  2008                1.000000000
## 5292  2009                        NaN
## 5293  2010                        NaN
## 5294  2011                        NaN
## 5295  2012                        NaN
## 5296  2013                        NaN
## 5297  2014                        NaN
## 5298  2015                        NaN
## 5299  2016                0.214285714
## 5300  2017                0.625000000
## 5301  1966                0.780730897
## 5302  1967                0.187702265
## 5303  1968                0.187500000
## 5304  1969                0.917721519
## 5305  1970                0.916129032
## 5306  1971                0.909677419
## 5307  1972                0.089655172
## 5308  1973                0.862068966
## 5309  1974                1.281045752
## 5310  1975                1.873563218
## 5311  1976                1.344186047
## 5312  1977                1.985611511
## 5313  1978                1.945512821
## 5314  1979                1.466216216
## 5315  1980                1.325878594
## 5316  1981                1.489675516
## 5317  1982                1.000000000
## 5318  1983                1.486166008
## 5319  1984                1.438202247
## 5320  1985                0.962655602
## 5321  1986                1.185950413
## 5322  1987                1.232876712
## 5323  1988                1.445497630
## 5324  1989                1.289215686
## 5325  1990                1.074626866
## 5326  1991                0.984693878
## 5327  1992                1.471544715
## 5328  1993                1.229357798
## 5329  1994                0.950819672
## 5330  1995                0.955555556
## 5331  1996                1.279411765
## 5332  1997                1.241935484
## 5333  1998                1.400000000
## 5334  1999                0.875000000
## 5335  2000                0.800000000
## 5336  2001                0.687500000
## 5337  2002                0.533333333
## 5338  2003                1.586206897
## 5339  2004                1.062500000
## 5340  2005                1.031250000
## 5341  2006                0.633333333
## 5342  2007                0.800000000
## 5343  2008                1.142857143
## 5344  2009                1.053535354
## 5345  2010                0.949425287
## 5346  2011                1.003636364
## 5347  2012                0.855000000
## 5348  2013                0.843750000
## 5349  2014                0.485714286
## 5350  2015                0.714285714
## 5351  2016                0.222222222
## 5352  2017                0.941176471
## 5353  1966                0.696869852
## 5354  1967                0.557692308
## 5355  1968                0.558139535
## 5356  1969                0.969183359
## 5357  1970                0.969742814
## 5358  1971                0.872000000
## 5359  1972                0.349030471
## 5360  1973                0.759036145
## 5361  1974                1.232021710
## 5362  1975                1.291712707
## 5363  1976                1.080088988
## 5364  1977                0.904000000
## 5365  1978                1.172669492
## 5366  1979                1.070140281
## 5367  1980                1.191144708
## 5368  1981                1.118572928
## 5369  1982                1.251789976
## 5370  1983                1.566137566
## 5371  1984                1.583065380
## 5372  1985                1.029755579
## 5373  1986                1.389473684
## 5374  1987                1.524210526
## 5375  1988                1.522483940
## 5376  1989                1.824074074
## 5377  1990                1.529729730
## 5378  1991                1.475760992
## 5379  1992                1.672316384
## 5380  1993                1.471277843
## 5381  1994                1.101208459
## 5382  1995                1.843260188
## 5383  1996                1.749646393
## 5384  1997                1.435761589
## 5385  1998                1.843390805
## 5386  1999                1.859598854
## 5387  2000                1.755622189
## 5388  2001                1.527777778
## 5389  2002                1.615499255
## 5390  2003                1.427101201
## 5391  2004                1.726134585
## 5392  2005                0.831404959
## 5393  2006                0.634064081
## 5394  2007                1.677932406
## 5395  2008                1.828571429
## 5396  2009                1.508333333
## 5397  2010                1.706278027
## 5398  2011                1.793388430
## 5399  2012                1.735692308
## 5400  2013                1.777777778
## 5401  2014                1.534188034
## 5402  2015                1.229838710
## 5403  2016                1.036885246
## 5404  2017                1.373443983
## 5405  1966                0.829252577
## 5406  1967                0.977215190
## 5407  1968                1.059753954
## 5408  1969                0.883173496
## 5409  1970                0.818101933
## 5410  1971                0.902978723
## 5411  1972                0.134228188
## 5412  1973                0.878533231
## 5413  1974                1.091192518
## 5414  1975                1.218450185
## 5415  1976                0.950643777
## 5416  1977                1.047183099
## 5417  1978                1.177419355
## 5418  1979                1.182108626
## 5419  1980                1.217791411
## 5420  1981                1.143181818
## 5421  1982                1.109913793
## 5422  1983                1.918641390
## 5423  1984                1.035909446
## 5424  1985                1.068545316
## 5425  1986                1.391578947
## 5426  1987                1.592105263
## 5427  1988                1.522483940
## 5428  1989                1.352982456
## 5429  1990                1.362173038
## 5430  1991                1.011337868
## 5431  1992                1.331194868
## 5432  1993                1.284784378
## 5433  1994                1.421099291
## 5434  1995                1.470270270
## 5435  1996                1.841282895
## 5436  1997                1.158604282
## 5437  1998                1.778853914
## 5438  1999                1.259873618
## 5439  2000                1.282031842
## 5440  2001                0.469278718
## 5441  2002                0.555452004
## 5442  2003                0.305118110
## 5443  2004                1.817375887
## 5444  2005                0.869486949
## 5445  2006                0.757682177
## 5446  2007                0.830769231
## 5447  2008                0.648514851
## 5448  2009                0.851047409
## 5449  2010                1.246559633
## 5450  2011                0.750662252
## 5451  2012                0.475985663
## 5452  2013                0.862459547
## 5453  2014                1.067178503
## 5454  2015                0.469387755
## 5455  2016                1.003030303
## 5456  2017                0.834572491
## 5457  1966                0.360000000
## 5458  1967                0.576923077
## 5459  1968                0.571428571
## 5460  1969                0.206896552
## 5461  1970                0.193548387
## 5462  1971                0.294117647
## 5463  1972                0.000000000
## 5464  1973                0.857142857
## 5465  1974                1.833333333
## 5466  1975                1.377049180
## 5467  1976                1.284848485
## 5468  1977                1.421686747
## 5469  1978                1.590361446
## 5470  1979                1.240963855
## 5471  1980                0.977528090
## 5472  1981                0.915789474
## 5473  1982                0.972222222
## 5474  1983                1.695121951
## 5475  1984                1.129411765
## 5476  1985                1.256756757
## 5477  1986                0.720000000
## 5478  1987                1.027027027
## 5479  1988                1.220930233
## 5480  1989                0.816666667
## 5481  1990                0.846153846
## 5482  1991                0.630434783
## 5483  1992                1.000000000
## 5484  1993                1.238095238
## 5485  1994                0.862068966
## 5486  1995                1.391304348
## 5487  1996                0.894736842
## 5488  1997                1.000000000
## 5489  1998                0.692307692
## 5490  1999                0.619047619
## 5491  2000                0.761904762
## 5492  2001                0.714285714
## 5493  2002                0.545454545
## 5494  2003                0.250000000
## 5495  2004                0.750000000
## 5496  2005                0.750000000
## 5497  2006                0.500000000
## 5498  2007                0.800000000
## 5499  2008                1.000000000
## 5500  2009                0.400000000
## 5501  2010                0.400000000
## 5502  2011                0.700000000
## 5503  2012                0.225000000
## 5504  2013                0.400000000
## 5505  2014                0.333333333
## 5506  2015                0.000000000
## 5507  2016                0.400000000
## 5508  2017                        NaN
## 5509  1966                0.919382504
## 5510  1967                1.217687075
## 5511  1968                1.103542234
## 5512  1969                0.931111111
## 5513  1970                0.973747017
## 5514  1971                1.208888889
## 5515  1972                0.477690289
## 5516  1973                0.927272727
## 5517  1974                1.712273642
## 5518  1975                1.623326960
## 5519  1976                1.306910569
## 5520  1977                1.246492986
## 5521  1978                1.891954023
## 5522  1979                1.508641975
## 5523  1980                1.647355164
## 5524  1981                1.524509804
## 5525  1982                1.472222222
## 5526  1983                2.361990950
## 5527  1984                2.212328767
## 5528  1985                1.687074830
## 5529  1986                1.899543379
## 5530  1987                2.145969499
## 5531  1988                2.004366812
## 5532  1989                2.247058824
## 5533  1990                2.404017857
## 5534  1991                1.538461538
## 5535  1992                2.602040816
## 5536  1993                2.052469136
## 5537  1994                1.815789474
## 5538  1995                2.590909091
## 5539  1996                2.251366120
## 5540  1997                1.444444444
## 5541  1998                2.092105263
## 5542  1999                1.854961832
## 5543  2000                1.580645161
## 5544  2001                2.066037736
## 5545  2002                1.824175824
## 5546  2003                1.610389610
## 5547  2004                2.150000000
## 5548  2005                1.187500000
## 5549  2006                1.076923077
## 5550  2007                1.822619048
## 5551  2008                2.091954023
## 5552  2009                2.090789474
## 5553  2010                1.887500000
## 5554  2011                2.272972973
## 5555  2012                2.456164384
## 5556  2013                1.848484848
## 5557  2014                1.816666667
## 5558  2015                1.771929825
## 5559  2016                1.633333333
## 5560  2017                1.755102041
## 5561  1966                0.419412289
## 5562  1967                0.518241347
## 5563  1968                0.518324607
## 5564  1969                0.312010444
## 5565  1970                0.311740891
## 5566  1971                0.170498084
## 5567  1972                0.208683473
## 5568  1973                0.292176039
## 5569  1974                0.605177994
## 5570  1975                0.754032258
## 5571  1976                1.159574468
## 5572  1977                1.237145050
## 5573  1978                1.063344595
## 5574  1979                1.099827883
## 5575  1980                1.065647482
## 5576  1981                1.213850837
## 5577  1982                1.054009820
## 5578  1983                1.207413249
## 5579  1984                0.695485845
## 5580  1985                0.601762821
## 5581  1986                1.005065123
## 5582  1987                1.160589060
## 5583  1988                0.703306524
## 5584  1989                1.385451505
## 5585  1990                1.118195956
## 5586  1991                0.674118659
## 5587  1992                1.628742515
## 5588  1993                1.395852969
## 5589  1994                1.265258216
## 5590  1995                1.068796069
## 5591  1996                1.800505051
## 5592  1997                1.114906832
## 5593  1998                1.334370140
## 5594  1999                1.160000000
## 5595  2000                0.960144928
## 5596  2001                1.144554455
## 5597  2002                1.401960784
## 5598  2003                1.321839080
## 5599  2004                1.086956522
## 5600  2005                1.305555556
## 5601  2006                1.488479263
## 5602  2007                1.357763975
## 5603  2008                1.232876712
## 5604  2009                1.362307692
## 5605  2010                1.772566372
## 5606  2011                1.794041451
## 5607  2012                1.070666667
## 5608  2013                1.615384615
## 5609  2014                0.416666667
## 5610  2015                0.363636364
## 5611  2016                1.241379310
## 5612  2017                1.385714286
## 5613  1966                0.373257288
## 5614  1967                0.600563380
## 5615  1968                0.600760456
## 5616  1969                0.263423879
## 5617  1970                0.263608563
## 5618  1971                0.312419974
## 5619  1972                0.287807737
## 5620  1973                0.278705109
## 5621  1974                0.665814696
## 5622  1975                0.500842223
## 5623  1976                0.960102302
## 5624  1977                0.935199585
## 5625  1978                0.721504773
## 5626  1979                1.248474764
## 5627  1980                0.730038023
## 5628  1981                1.198156682
## 5629  1982                1.212156634
## 5630  1983                0.718750000
## 5631  1984                0.917222222
## 5632  1985                0.746916890
## 5633  1986                0.540582726
## 5634  1987                0.964723926
## 5635  1988                0.447665848
## 5636  1989                1.016997167
## 5637  1990                1.104831358
## 5638  1991                0.740911183
## 5639  1992                1.884478145
## 5640  1993                1.403292181
## 5641  1994                1.389456697
## 5642  1995                1.439419319
## 5643  1996                1.620108965
## 5644  1997                1.399132321
## 5645  1998                1.115088106
## 5646  1999                1.393889798
## 5647  2000                1.265111347
## 5648  2001                1.274326553
## 5649  2002                1.484094853
## 5650  2003                1.364794441
## 5651  2004                0.762554247
## 5652  2005                1.192462988
## 5653  2006                0.932432432
## 5654  2007                1.498761610
## 5655  2008                1.158006363
## 5656  2009                0.955420561
## 5657  2010                1.209893307
## 5658  2011                1.289115646
## 5659  2012                1.283893130
## 5660  2013                1.058637084
## 5661  2014                0.413133832
## 5662  2015                0.311936937
## 5663  2016                0.508559622
## 5664  2017                0.564984820
## 5665  1966                0.367553866
## 5666  1967                0.580606061
## 5667  1968                0.580814717
## 5668  1969                0.246359223
## 5669  1970                0.245843230
## 5670  1971                0.330152672
## 5671  1972                0.129151292
## 5672  1973                0.270419426
## 5673  1974                0.684834123
## 5674  1975                0.634831461
## 5675  1976                1.133008921
## 5676  1977                1.095716198
## 5677  1978                1.063662375
## 5678  1979                1.000730460
## 5679  1980                0.872340426
## 5680  1981                0.676816609
## 5681  1982                0.730709877
## 5682  1983                0.726808511
## 5683  1984                0.934879572
## 5684  1985                0.588646288
## 5685  1986                0.423742786
## 5686  1987                1.116693679
## 5687  1988                0.436685289
## 5688  1989                0.918987342
## 5689  1990                1.009847807
## 5690  1991                0.380715706
## 5691  1992                1.429547395
## 5692  1993                1.037753223
## 5693  1994                0.841794569
## 5694  1995                1.560047562
## 5695  1996                1.329326923
## 5696  1997                0.766832918
## 5697  1998                0.788043478
## 5698  1999                1.182180851
## 5699  2000                1.305486284
## 5700  2001                0.642011834
## 5701  2002                1.208998549
## 5702  2003                0.781021898
## 5703  2004                0.602862254
## 5704  2005                0.807547170
## 5705  2006                1.086614173
## 5706  2007                0.878292683
## 5707  2008                0.675287356
## 5708  2009                0.722222222
## 5709  2010                1.296130952
## 5710  2011                1.137847222
## 5711  2012                1.052777778
## 5712  2013                1.276243094
## 5713  2014                0.530927835
## 5714  2015                0.291666667
## 5715  2016                0.296842105
## 5716  2017                0.695714286
## 5717  1966                0.546379170
## 5718  1967                0.866028708
## 5719  1968                0.770109890
## 5720  1969                0.692307692
## 5721  1970                0.246059545
## 5722  1971                0.389478338
## 5723  1972                0.246898263
## 5724  1973                0.348468069
## 5725  1974                0.641344383
## 5726  1975                0.397899160
## 5727  1976                0.870560379
## 5728  1977                1.223533619
## 5729  1978                0.902317881
## 5730  1979                1.250100847
## 5731  1980                0.752679308
## 5732  1981                0.734534064
## 5733  1982                1.477879633
## 5734  1983                0.342618384
## 5735  1984                1.171918628
## 5736  1985                0.806648835
## 5737  1986                0.505515405
## 5738  1987                1.240117130
## 5739  1988                0.291907514
## 5740  1989                1.561970125
## 5741  1990                1.224806202
## 5742  1991                0.680960549
## 5743  1992                1.900392157
## 5744  1993                1.556023589
## 5745  1994                1.562386157
## 5746  1995                2.347968239
## 5747  1996                1.740723344
## 5748  1997                1.100384246
## 5749  1998                1.162121963
## 5750  1999                1.313056380
## 5751  2000                1.227751196
## 5752  2001                1.162803532
## 5753  2002                1.625945317
## 5754  2003                1.305724726
## 5755  2004                1.286751361
## 5756  2005                0.781487991
## 5757  2006                0.952968842
## 5758  2007                1.163110846
## 5759  2008                0.946990117
## 5760  2009                0.732533973
## 5761  2010                1.055098814
## 5762  2011                1.294508894
## 5763  2012                1.218006182
## 5764  2013                0.807474519
## 5765  2014                0.323895810
## 5766  2015                0.370838117
## 5767  2016                0.371578947
## 5768  2017                0.653846154
## 5769  1966                0.553628480
## 5770  1967                0.480909091
## 5771  1968                0.481065919
## 5772  1969                0.169124424
## 5773  1970                0.168915977
## 5774  1971                0.357681159
## 5775  1972                0.314927468
## 5776  1973                0.287660568
## 5777  1974                0.809772296
## 5778  1975                0.773384030
## 5779  1976                0.715713301
## 5780  1977                0.851864293
## 5781  1978                1.273402195
## 5782  1979                1.339955850
## 5783  1980                0.748654638
## 5784  1981                1.051368810
## 5785  1982                1.074038462
## 5786  1983                0.686081243
## 5787  1984                1.054735547
## 5788  1985                0.657588739
## 5789  1986                0.212082671
## 5790  1987                1.215253703
## 5791  1988                0.456981132
## 5792  1989                1.254563233
## 5793  1990                1.125531219
## 5794  1991                0.462425840
## 5795  1992                1.693920335
## 5796  1993                1.360177318
## 5797  1994                1.097672485
## 5798  1995                1.610870421
## 5799  1996                1.684014870
## 5800  1997                0.908680947
## 5801  1998                1.267078488
## 5802  1999                1.217717718
## 5803  2000                1.256219829
## 5804  2001                1.048939641
## 5805  2002                1.340591619
## 5806  2003                1.146643865
## 5807  2004                0.899310345
## 5808  2005                1.381065652
## 5809  2006                1.108849976
## 5810  2007                1.256091497
## 5811  2008                0.884139483
## 5812  2009                0.670679321
## 5813  2010                1.245314286
## 5814  2011                1.225356479
## 5815  2012                1.253346587
## 5816  2013                1.364472753
## 5817  2014                0.797904192
## 5818  2015                0.434871795
## 5819  2016                0.823356232
## 5820  2017                0.834245675
## 5821  1966                0.466588967
## 5822  1967                0.660362794
## 5823  1968                0.843289086
## 5824  1969                0.781986857
## 5825  1970                0.425435276
## 5826  1971                0.528024739
## 5827  1972                0.398349587
## 5828  1973                0.489448604
## 5829  1974                0.783794017
## 5830  1975                0.819637883
## 5831  1976                0.919178536
## 5832  1977                0.889967638
## 5833  1978                1.226371951
## 5834  1979                1.324039186
## 5835  1980                1.202449292
## 5836  1981                1.461598138
## 5837  1982                1.250718096
## 5838  1983                1.534344711
## 5839  1984                0.846306396
## 5840  1985                1.152597403
## 5841  1986                1.051683262
## 5842  1987                1.596390845
## 5843  1988                1.055281343
## 5844  1989                2.074797523
## 5845  1990                1.998030527
## 5846  1991                0.728967254
## 5847  1992                2.598121602
## 5848  1993                1.508762887
## 5849  1994                1.974613003
## 5850  1995                1.473063973
## 5851  1996                2.507821901
## 5852  1997                1.206707317
## 5853  1998                1.781609195
## 5854  1999                1.867838044
## 5855  2000                1.508566978
## 5856  2001                1.319969160
## 5857  2002                1.584760274
## 5858  2003                1.655555556
## 5859  2004                1.127576055
## 5860  2005                1.049197861
## 5861  2006                1.416783217
## 5862  2007                1.863201320
## 5863  2008                1.788732394
## 5864  2009                1.751800000
## 5865  2010                1.242105263
## 5866  2011                1.773651452
## 5867  2012                1.700480769
## 5868  2013                0.856502242
## 5869  2014                1.072815534
## 5870  2015                0.622549020
## 5871  2016                1.429207480
## 5872  2017                0.920792079
## 5873  1966                0.490403447
## 5874  1967                0.559514487
## 5875  1968                0.827269245
## 5876  1969                0.787351779
## 5877  1970                0.256633663
## 5878  1971                0.452770028
## 5879  1972                0.347266881
## 5880  1973                0.381390217
## 5881  1974                0.764218009
## 5882  1975                0.603221083
## 5883  1976                0.909712722
## 5884  1977                1.068519406
## 5885  1978                0.673943662
## 5886  1979                0.913805186
## 5887  1980                0.776203966
## 5888  1981                0.898437500
## 5889  1982                0.740875912
## 5890  1983                0.975200584
## 5891  1984                0.916189112
## 5892  1985                0.979519774
## 5893  1986                0.620581029
## 5894  1987                1.529646902
## 5895  1988                0.889729730
## 5896  1989                1.926434354
## 5897  1990                1.612059571
## 5898  1991                0.994232156
## 5899  1992                2.104036186
## 5900  1993                1.706903679
## 5901  1994                1.471172023
## 5902  1995                1.770056208
## 5903  1996                2.159962139
## 5904  1997                1.498314877
## 5905  1998                1.506539834
## 5906  1999                1.440401506
## 5907  2000                1.454545455
## 5908  2001                1.332673267
## 5909  2002                1.621399177
## 5910  2003                1.684322034
## 5911  2004                1.199703044
## 5912  2005                1.769344141
## 5913  2006                2.004441155
## 5914  2007                2.406494662
## 5915  2008                1.934554974
## 5916  2009                1.590384615
## 5917  2010                0.893178893
## 5918  2011                2.481303602
## 5919  2012                1.586956522
## 5920  2013                0.577220077
## 5921  2014                1.004444444
## 5922  2015                0.695238095
## 5923  2016                1.185185185
## 5924  2017                0.725091288
## 5925  1966                0.487603306
## 5926  1967                0.555237550
## 5927  1968                0.718990121
## 5928  1969                0.606575964
## 5929  1970                0.280262373
## 5930  1971                0.381745121
## 5931  1972                0.482973893
## 5932  1973                0.553805774
## 5933  1974                0.684444444
## 5934  1975                0.656857593
## 5935  1976                1.094823416
## 5936  1977                0.889391979
## 5937  1978                1.230769231
## 5938  1979                1.149683081
## 5939  1980                1.102831595
## 5940  1981                0.956649522
## 5941  1982                1.346074380
## 5942  1983                1.233896515
## 5943  1984                1.155068493
## 5944  1985                1.249167592
## 5945  1986                0.783449758
## 5946  1987                1.280575540
## 5947  1988                0.935763098
## 5948  1989                1.862291555
## 5949  1990                1.415178571
## 5950  1991                0.883899233
## 5951  1992                1.463279678
## 5952  1993                1.362898551
## 5953  1994                1.535688006
## 5954  1995                1.723494487
## 5955  1996                1.856792144
## 5956  1997                1.457395498
## 5957  1998                1.506076389
## 5958  1999                1.116239316
## 5959  2000                1.433024431
## 5960  2001                1.401834862
## 5961  2002                1.399416910
## 5962  2003                1.428143713
## 5963  2004                0.955818966
## 5964  2005                1.315621679
## 5965  2006                1.177402323
## 5966  2007                1.358536585
## 5967  2008                0.910669975
## 5968  2009                1.072708758
## 5969  2010                1.067561983
## 5970  2011                1.467506297
## 5971  2012                1.298938992
## 5972  2013                0.644886364
## 5973  2014                1.022388060
## 5974  2015                0.728346457
## 5975  2016                1.230125523
## 5976  2017                0.954198473
## 5977  1966                0.445548067
## 5978  1967                0.490021383
## 5979  1968                0.625434329
## 5980  1969                0.658836285
## 5981  1970                0.315095072
## 5982  1971                0.511359538
## 5983  1972                0.431602048
## 5984  1973                0.582282913
## 5985  1974                0.683080341
## 5986  1975                0.620979532
## 5987  1976                0.869550524
## 5988  1977                0.959653218
## 5989  1978                0.842236467
## 5990  1979                0.948636203
## 5991  1980                0.800942712
## 5992  1981                0.956649522
## 5993  1982                1.381614523
## 5994  1983                1.067085954
## 5995  1984                1.148631030
## 5996  1985                1.307048458
## 5997  1986                0.808136847
## 5998  1987                1.339065256
## 5999  1988                0.861051502
## 6000  1989                1.814995563
## 6001  1990                1.553201507
## 6002  1991                1.323813708
## 6003  1992                1.633304196
## 6004  1993                1.177494692
## 6005  1994                0.988448016
## 6006  1995                1.011656442
## 6007  1996                1.651644336
## 6008  1997                0.723067559
## 6009  1998                1.422123331
## 6010  1999                1.200000000
## 6011  2000                1.102331606
## 6012  2001                1.094158076
## 6013  2002                1.180774749
## 6014  2003                1.028659954
## 6015  2004                0.981754996
## 6016  2005                0.768695652
## 6017  2006                0.982035928
## 6018  2007                1.082007344
## 6019  2008                0.967741935
## 6020  2009                0.524441341
## 6021  2010                0.764379562
## 6022  2011                1.285522388
## 6023  2012                1.152516779
## 6024  2013                0.322981366
## 6025  2014                0.445475638
## 6026  2015                0.406175772
## 6027  2016                0.451505017
## 6028  2017                0.536585366
## 6029  1966                0.608333333
## 6030  1967                0.612949640
## 6031  1968                0.750000000
## 6032  1969                0.555471698
## 6033  1970                0.289332310
## 6034  1971                0.355957768
## 6035  1972                0.375207987
## 6036  1973                0.481081081
## 6037  1974                0.784018987
## 6038  1975                0.558333333
## 6039  1976                0.774336283
## 6040  1977                0.920974889
## 6041  1978                0.833333333
## 6042  1979                1.061349693
## 6043  1980                0.823200000
## 6044  1981                0.869188337
## 6045  1982                1.281175536
## 6046  1983                0.950687146
## 6047  1984                1.103972950
## 6048  1985                1.173179396
## 6049  1986                0.400191939
## 6050  1987                0.947416138
## 6051  1988                1.020242915
## 6052  1989                1.689017341
## 6053  1990                0.965478842
## 6054  1991                0.837092732
## 6055  1992                1.089552239
## 6056  1993                1.101740295
## 6057  1994                0.893758300
## 6058  1995                0.968656716
## 6059  1996                1.473071325
## 6060  1997                0.758190328
## 6061  1998                1.075785582
## 6062  1999                0.793814433
## 6063  2000                1.018561485
## 6064  2001                0.966759003
## 6065  2002                0.918840580
## 6066  2003                0.983221477
## 6067  2004                0.896825397
## 6068  2005                0.808080808
## 6069  2006                0.852564103
## 6070  2007                0.750000000
## 6071  2008                0.348837209
## 6072  2009                0.462162162
## 6073  2010                0.490322581
## 6074  2011                0.728125000
## 6075  2012                0.877500000
## 6076  2013                0.233333333
## 6077  2014                0.425000000
## 6078  2015                0.511627907
## 6079  2016                0.500000000
## 6080  2017                0.433333333
## 6081  1966                0.386666667
## 6082  1967                0.434922680
## 6083  1968                0.618934911
## 6084  1969                0.564495530
## 6085  1970                0.229738781
## 6086  1971                0.284287617
## 6087  1972                0.387375415
## 6088  1973                0.471817606
## 6089  1974                0.941853035
## 6090  1975                0.587261146
## 6091  1976                0.680174564
## 6092  1977                0.782345828
## 6093  1978                0.791167192
## 6094  1979                0.786028949
## 6095  1980                0.661625709
## 6096  1981                0.736641221
## 6097  1982                1.073202614
## 6098  1983                0.730128205
## 6099  1984                0.614314115
## 6100  1985                0.822845417
## 6101  1986                0.843121480
## 6102  1987                1.021565495
## 6103  1988                1.060271647
## 6104  1989                1.374548736
## 6105  1990                1.223206377
## 6106  1991                0.742526519
## 6107  1992                1.100622407
## 6108  1993                1.105088496
## 6109  1994                0.869501466
## 6110  1995                1.355982275
## 6111  1996                1.329192547
## 6112  1997                0.876441516
## 6113  1998                1.025688073
## 6114  1999                0.877227723
## 6115  2000                0.924210526
## 6116  2001                0.814196242
## 6117  2002                0.939784946
## 6118  2003                0.959641256
## 6119  2004                0.725925926
## 6120  2005                0.840108401
## 6121  2006                1.042424242
## 6122  2007                0.987330317
## 6123  2008                0.837209302
## 6124  2009                0.747154472
## 6125  2010                0.736434109
## 6126  2011                0.713924051
## 6127  2012                0.829032258
## 6128  2013                0.404255319
## 6129  2014                0.589743590
## 6130  2015                0.875000000
## 6131  2016                0.681818182
## 6132  2017                0.739130435
## 6133  1966                0.392857143
## 6134  1967                0.448275862
## 6135  1968                0.428571429
## 6136  1969                0.333333333
## 6137  1970                0.312500000
## 6138  1971                0.285714286
## 6139  1972                0.368421053
## 6140  1973                0.470588235
## 6141  1974                1.400000000
## 6142  1975                0.428571429
## 6143  1976                0.416666667
## 6144  1977                0.480000000
## 6145  1978                0.480000000
## 6146  1979                0.615384615
## 6147  1980                0.407407407
## 6148  1981                0.360000000
## 6149  1982                0.703703704
## 6150  1983                0.413793103
## 6151  1984                0.375000000
## 6152  1985                0.416666667
## 6153  1986                0.300000000
## 6154  1987                0.588235294
## 6155  1988                0.500000000
## 6156  1989                0.666666667
## 6157  1990                1.000000000
## 6158  1991                1.000000000
## 6159  1992                        NaN
## 6160  1993                        NaN
## 6161  1994                1.000000000
## 6162  1995                1.000000000
## 6163  1996                1.333333333
## 6164  1997                0.750000000
## 6165  1998                        NaN
## 6166  1999                        NaN
## 6167  2000                        NaN
## 6168  2001                        NaN
## 6169  2002                1.000000000
## 6170  2003                1.000000000
## 6171  2004                        NaN
## 6172  2005                        NaN
## 6173  2006                        NaN
## 6174  2007                        NaN
## 6175  2008                        NaN
## 6176  2009                        NaN
## 6177  2010                        NaN
## 6178  2011                        NaN
## 6179  2012                        NaN
## 6180  2013                        NaN
## 6181  2014                        NaN
## 6182  2015                        NaN
## 6183  2016                        NaN
## 6184  2017                        NaN
## 6185  1966                0.490616622
## 6186  1967                0.413489736
## 6187  1968                0.412607450
## 6188  1969                0.317280453
## 6189  1970                0.311688312
## 6190  1971                0.508393285
## 6191  1972                0.441791045
## 6192  1973                0.467422096
## 6193  1974                0.738907850
## 6194  1975                0.494505495
## 6195  1976                0.398081535
## 6196  1977                0.701149425
## 6197  1978                0.610244989
## 6198  1979                0.728888889
## 6199  1980                0.497716895
## 6200  1981                0.444186047
## 6201  1982                0.650510204
## 6202  1983                0.655773420
## 6203  1984                0.637777778
## 6204  1985                0.847255370
## 6205  1986                0.562814070
## 6206  1987                0.873096447
## 6207  1988                0.816711590
## 6208  1989                1.298342541
## 6209  1990                0.611275964
## 6210  1991                0.610810811
## 6211  1992                0.845930233
## 6212  1993                1.116417910
## 6213  1994                0.802395210
## 6214  1995                0.664285714
## 6215  1996                1.378378378
## 6216  1997                0.618644068
## 6217  1998                0.900000000
## 6218  1999                1.078947368
## 6219  2000                1.751412429
## 6220  2001                1.098837209
## 6221  2002                1.157894737
## 6222  2003                1.000000000
## 6223  2004                0.971962617
## 6224  2005                1.306818182
## 6225  2006                1.311688312
## 6226  2007                1.254285714
## 6227  2008                1.000000000
## 6228  2009                0.677777778
## 6229  2010                0.623809524
## 6230  2011                0.740000000
## 6231  2012                0.951851852
## 6232  2013                0.777777778
## 6233  2014                3.964285714
## 6234  2015                0.666666667
## 6235  2016                0.370370370
## 6236  2017                0.590090090
## 6237  1966                0.099694812
## 6238  1967                0.188118812
## 6239  1968                0.054639175
## 6240  1969                0.128721541
## 6241  1970                0.314553991
## 6242  1971                0.223738063
## 6243  1972                0.098591549
## 6244  1973                0.326271186
## 6245  1974                0.047832586
## 6246  1975                0.234265734
## 6247  1976                0.284420290
## 6248  1977                0.165120594
## 6249  1978                0.397321429
## 6250  1979                0.275132275
## 6251  1980                0.218446602
## 6252  1981                0.398568019
## 6253  1982                0.130067568
## 6254  1983                0.164073550
## 6255  1984                0.176923077
## 6256  1985                0.065897858
## 6257  1986                0.123076923
## 6258  1987                0.060606061
## 6259  1988                0.363636364
## 6260  1989                0.232638889
## 6261  1990                0.340540541
## 6262  1991                0.074324324
## 6263  1992                0.112299465
## 6264  1993                0.276807980
## 6265  1994                0.533333333
## 6266  1995                0.590625000
## 6267  1996                0.897310513
## 6268  1997                0.788235294
## 6269  1998                0.826014913
## 6270  1999                1.334328358
## 6271  2000                        NaN
## 6272  2001                        NaN
## 6273  2002                1.000000000
## 6274  2003                0.927710843
## 6275  2004                0.928571429
## 6276  2005                1.158273381
## 6277  2006                1.114173228
## 6278  2007                1.334591195
## 6279  2008                1.265625000
## 6280  2009                1.000000000
## 6281  2010                1.041666667
## 6282  2011                0.987755102
## 6283  2012                0.797297297
## 6284  2013                0.816901408
## 6285  2014                1.000000000
## 6286  2015                0.750000000
## 6287  2016                        NaN
## 6288  2017                1.500000000
## 6289  1966                0.114197531
## 6290  1967                0.231467474
## 6291  1968                0.315447154
## 6292  1969                0.274959083
## 6293  1970                0.429906542
## 6294  1971                0.388671875
## 6295  1972                0.100000000
## 6296  1973                0.273641851
## 6297  1974                0.181818182
## 6298  1975                0.477272727
## 6299  1976                0.577371048
## 6300  1977                0.419834711
## 6301  1978                0.490942029
## 6302  1979                0.735074627
## 6303  1980                0.514522822
## 6304  1981                0.645360825
## 6305  1982                0.326959847
## 6306  1983                0.441237113
## 6307  1984                0.385294118
## 6308  1985                0.084070796
## 6309  1986                0.423340961
## 6310  1987                0.000000000
## 6311  1988                0.424908425
## 6312  1989                0.719063545
## 6313  1990                0.201405152
## 6314  1991                0.117283951
## 6315  1992                0.535825545
## 6316  1993                0.275000000
## 6317  1994                0.142857143
## 6318  1995                0.592105263
## 6319  1996                0.547945205
## 6320  1997                0.340909091
## 6321  1998                0.167487685
## 6322  1999                0.072289157
## 6323  2000                0.027210884
## 6324  2001                0.520833333
## 6325  2002                0.280000000
## 6326  2003                0.120000000
## 6327  2004                1.000000000
## 6328  2005                1.166666667
## 6329  2006                        NaN
## 6330  2007                        NaN
## 6331  2008                        NaN
## 6332  2009                1.000000000
## 6333  2010                1.083333333
## 6334  2011                        NaN
## 6335  2012                        NaN
## 6336  2013                        NaN
## 6337  2014                        NaN
## 6338  2015                        NaN
## 6339  2016                        NaN
## 6340  2017                        NaN
## 6341  1966                0.211256117
## 6342  1967                0.217872340
## 6343  1968                0.088316467
## 6344  1969                0.247697032
## 6345  1970                0.351900973
## 6346  1971                0.360287511
## 6347  1972                0.285242291
## 6348  1973                0.596692112
## 6349  1974                0.220779221
## 6350  1975                0.540983607
## 6351  1976                0.810975610
## 6352  1977                0.925318761
## 6353  1978                0.721709007
## 6354  1979                0.812949640
## 6355  1980                0.859778598
## 6356  1981                0.508114856
## 6357  1982                0.267298578
## 6358  1983                1.111003861
## 6359  1984                0.508726003
## 6360  1985                0.283348666
## 6361  1986                0.156844106
## 6362  1987                0.183206107
## 6363  1988                0.511056511
## 6364  1989                0.416389812
## 6365  1990                0.397565923
## 6366  1991                0.218590398
## 6367  1992                0.408184680
## 6368  1993                0.250526316
## 6369  1994                        NaN
## 6370  1995                        NaN
## 6371  1996                0.529914530
## 6372  1997                0.022222222
## 6373  1998                0.184210526
## 6374  1999                1.333333333
## 6375  2000                0.153225806
## 6376  2001                0.748571429
## 6377  2002                0.218579235
## 6378  2003                0.871794872
## 6379  2004                1.000000000
## 6380  2005                0.493333333
## 6381  2006                0.317757009
## 6382  2007                        NaN
## 6383  2008                0.967741935
## 6384  2009                0.337078652
## 6385  2010                0.431818182
## 6386  2011                1.000000000
## 6387  2012                1.220588235
## 6388  2013                1.198250729
## 6389  2014                0.976923077
## 6390  2015                1.102564103
## 6391  2016                0.960176991
## 6392  2017                0.812903226
## 6393  1966                0.324607330
## 6394  1967                0.300000000
## 6395  1968                0.048582996
## 6396  1969                0.345000000
## 6397  1970                0.404040404
## 6398  1971                0.421875000
## 6399  1972                0.268292683
## 6400  1973                0.566878981
## 6401  1974                0.427586207
## 6402  1975                0.451086957
## 6403  1976                0.566037736
## 6404  1977                0.582608696
## 6405  1978                0.663829787
## 6406  1979                0.748768473
## 6407  1980                1.027649770
## 6408  1981                0.983922830
## 6409  1982                1.054123711
## 6410  1983                1.113333333
## 6411  1984                1.141463415
## 6412  1985                0.630434783
## 6413  1986                0.075471698
## 6414  1987                0.535519126
## 6415  1988                0.942857143
## 6416  1989                1.186046512
## 6417  1990                1.240740741
## 6418  1991                1.936936937
## 6419  1992                1.768240343
## 6420  1993                0.995918367
## 6421  1994                        NaN
## 6422  1995                        NaN
## 6423  1996                1.413043478
## 6424  1997                1.303482587
## 6425  1998                1.502994012
## 6426  1999                1.178294574
## 6427  2000                0.850746269
## 6428  2001                1.449197861
## 6429  2002                1.654255319
## 6430  2003                1.579268293
## 6431  2004                1.321167883
## 6432  2005                1.394904459
## 6433  2006                1.202020202
## 6434  2007                1.400000000
## 6435  2008                1.815789474
## 6436  2009                1.230088496
## 6437  2010                1.376470588
## 6438  2011                1.276190476
## 6439  2012                1.495412844
## 6440  2013                1.023014960
## 6441  2014                1.062761506
## 6442  2015                0.977624785
## 6443  2016                1.158415842
## 6444  2017                1.450000000
## 6445  1966                0.323943662
## 6446  1967                0.287878788
## 6447  1968                0.250000000
## 6448  1969                0.350649351
## 6449  1970                0.405797101
## 6450  1971                0.417910448
## 6451  1972                0.267857143
## 6452  1973                0.569620253
## 6453  1974                0.414285714
## 6454  1975                0.462500000
## 6455  1976                0.564102564
## 6456  1977                0.575342466
## 6457  1978                0.662337662
## 6458  1979                0.746478873
## 6459  1980                0.655555556
## 6460  1981                0.872549020
## 6461  1982                0.550000000
## 6462  1983                1.078260870
## 6463  1984                1.225806452
## 6464  1985                0.623529412
## 6465  1986                1.271604938
## 6466  1987                0.528985507
## 6467  1988                1.318471338
## 6468  1989                0.980519481
## 6469  1990                0.917910448
## 6470  1991                0.620437956
## 6471  1992                0.340740741
## 6472  1993                0.273381295
## 6473  1994                        NaN
## 6474  1995                        NaN
## 6475  1996                1.687500000
## 6476  1997                1.708333333
## 6477  1998                1.046511628
## 6478  1999                0.959641256
## 6479  2000                0.459259259
## 6480  2001                1.325000000
## 6481  2002                1.547619048
## 6482  2003                1.931372549
## 6483  2004                1.595238095
## 6484  2005                1.750000000
## 6485  2006                1.547169811
## 6486  2007                0.947368421
## 6487  2008                1.235294118
## 6488  2009                0.800000000
## 6489  2010                1.062500000
## 6490  2011                1.133333333
## 6491  2012                1.307692308
## 6492  2013                1.442622951
## 6493  2014                2.000000000
## 6494  2015                0.800000000
## 6495  2016                1.000000000
## 6496  2017                1.295454545
## 6497  1966                0.062135922
## 6498  1967                0.117595819
## 6499  1968                0.114000000
## 6500  1969                0.186717998
## 6501  1970                0.269230769
## 6502  1971                0.368000000
## 6503  1972                0.092278719
## 6504  1973                0.233024691
## 6505  1974                0.045205479
## 6506  1975                0.446685879
## 6507  1976                0.491909385
## 6508  1977                0.343624161
## 6509  1978                0.177897574
## 6510  1979                0.388958595
## 6511  1980                0.387005650
## 6512  1981                0.494428969
## 6513  1982                0.150895141
## 6514  1983                0.103693182
## 6515  1984                0.488576450
## 6516  1985                0.048417132
## 6517  1986                0.112426036
## 6518  1987                0.005943536
## 6519  1988                0.614849188
## 6520  1989                0.562974203
## 6521  1990                0.151875572
## 6522  1991                0.141333333
## 6523  1992                0.482320943
## 6524  1993                0.019387755
## 6525  1994                        NaN
## 6526  1995                        NaN
## 6527  1996                0.185463659
## 6528  1997                0.228282828
## 6529  1998                0.821138211
## 6530  1999                0.038461538
## 6531  2000                0.017543860
## 6532  2001                1.000000000
## 6533  2002                        NaN
## 6534  2003                        NaN
## 6535  2004                        NaN
## 6536  2005                        NaN
## 6537  2006                1.153846154
## 6538  2007                1.348484848
## 6539  2008                1.258373206
## 6540  2009                1.000000000
## 6541  2010                        NaN
## 6542  2011                        NaN
## 6543  2012                1.333333333
## 6544  2013                1.443478261
## 6545  2014                1.333333333
## 6546  2015                1.414675768
## 6547  2016                1.540000000
## 6548  2017                        NaN
## 6549  1966                0.319444444
## 6550  1967                0.304054054
## 6551  1968                0.372340426
## 6552  1969                0.344632768
## 6553  1970                0.408805031
## 6554  1971                0.425287356
## 6555  1972                0.265734266
## 6556  1973                0.570312500
## 6557  1974                0.424390244
## 6558  1975                0.455128205
## 6559  1976                0.565789474
## 6560  1977                0.577777778
## 6561  1978                0.663934426
## 6562  1979                0.750000000
## 6563  1980                0.664000000
## 6564  1981                0.869565217
## 6565  1982                0.557251908
## 6566  1983                1.083333333
## 6567  1984                1.284313725
## 6568  1985                0.616161616
## 6569  1986                0.681818182
## 6570  1987                0.250000000
## 6571  1988                0.484848485
## 6572  1989                0.500000000
## 6573  1990                0.604651163
## 6574  1991                0.190476190
## 6575  1992                0.338983051
## 6576  1993                0.269230769
## 6577  1994                        NaN
## 6578  1995                        NaN
## 6579  1996                0.863636364
## 6580  1997                0.782608696
## 6581  1998                0.960000000
## 6582  1999                1.281250000
## 6583  2000                0.650000000
## 6584  2001                1.250000000
## 6585  2002                1.034482759
## 6586  2003                0.857142857
## 6587  2004                1.700000000
## 6588  2005                1.357142857
## 6589  2006                1.230769231
## 6590  2007                1.285714286
## 6591  2008                1.333333333
## 6592  2009                1.000000000
## 6593  2010                1.090909091
## 6594  2011                1.000000000
## 6595  2012                1.444444444
## 6596  2013                1.428571429
## 6597  2014                1.206896552
## 6598  2015                1.402597403
## 6599  2016                1.500000000
## 6600  2017                1.285714286
## 6601  1966                0.000000000
## 6602  1967                0.000000000
## 6603  1968                0.000000000
## 6604  1969                0.500000000
## 6605  1970                0.500000000
## 6606  1971                0.500000000
## 6607  1972                3.000000000
## 6608  1973                0.666666667
## 6609  1974                0.333333333
## 6610  1975                0.500000000
## 6611  1976                0.500000000
## 6612  1977                0.500000000
## 6613  1978                0.500000000
## 6614  1979                1.000000000
## 6615  1980                0.666666667
## 6616  1981                0.833333333
## 6617  1982                0.500000000
## 6618  1983                1.000000000
## 6619  1984                0.666666667
## 6620  1985                0.666666667
## 6621  1986                1.000000000
## 6622  1987                0.166666667
## 6623  1988                0.500000000
## 6624  1989                0.500000000
## 6625  1990                0.640000000
## 6626  1991                0.200000000
## 6627  1992                0.344827586
## 6628  1993                0.277777778
## 6629  1994                        NaN
## 6630  1995                        NaN
## 6631  1996                1.631578947
## 6632  1997                1.214285714
## 6633  1998                1.727272727
## 6634  1999                1.338461538
## 6635  2000                1.054054054
## 6636  2001                1.366666667
## 6637  2002                1.133333333
## 6638  2003                1.327272727
## 6639  2004                1.888888889
## 6640  2005                1.948387097
## 6641  2006                1.666666667
## 6642  2007                1.372093023
## 6643  2008                1.388888889
## 6644  2009                1.391304348
## 6645  2010                1.043478261
## 6646  2011                1.363636364
## 6647  2012                1.250000000
## 6648  2013                1.304687500
## 6649  2014                1.081967213
## 6650  2015                1.414893617
## 6651  2016                3.417910448
## 6652  2017                1.391304348
## 6653  1966                0.089264174
## 6654  1967                0.124555160
## 6655  1968                0.102651839
## 6656  1969                0.060955519
## 6657  1970                0.197693575
## 6658  1971                0.251776650
## 6659  1972                0.052121212
## 6660  1973                0.175149701
## 6661  1974                0.069182390
## 6662  1975                0.363636364
## 6663  1976                0.191387560
## 6664  1977                0.179257362
## 6665  1978                0.248962656
## 6666  1979                0.193717277
## 6667  1980                0.113105925
## 6668  1981                0.186643836
## 6669  1982                0.141579732
## 6670  1983                0.082949309
## 6671  1984                0.128623188
## 6672  1985                0.104283054
## 6673  1986                0.175213675
## 6674  1987                0.000000000
## 6675  1988                0.157464213
## 6676  1989                0.073863636
## 6677  1990                        NaN
## 6678  1991                        NaN
## 6679  1992                        NaN
## 6680  1993                        NaN
## 6681  1994                        NaN
## 6682  1995                        NaN
## 6683  1996                0.897637795
## 6684  1997                0.786163522
## 6685  1998                0.825581395
## 6686  1999                1.308510638
## 6687  2000                0.750000000
## 6688  2001                0.750000000
## 6689  2002                        NaN
## 6690  2003                0.862068966
## 6691  2004                0.948275862
## 6692  2005                1.181818182
## 6693  2006                1.130434783
## 6694  2007                1.375000000
## 6695  2008                        NaN
## 6696  2009                1.000000000
## 6697  2010                        NaN
## 6698  2011                        NaN
## 6699  2012                        NaN
## 6700  2013                        NaN
## 6701  2014                1.166666667
## 6702  2015                1.388888889
## 6703  2016                1.600000000
## 6704  2017                1.333333333
## 6705  1966                0.022471910
## 6706  1967                0.027972028
## 6707  1968                0.088560886
## 6708  1969                0.344537815
## 6709  1970                0.405487805
## 6710  1971                0.422818792
## 6711  1972                0.268907563
## 6712  1973                0.563218391
## 6713  1974                0.423076923
## 6714  1975                0.455598456
## 6715  1976                0.564393939
## 6716  1977                0.582222222
## 6717  1978                0.669172932
## 6718  1979                0.747126437
## 6719  1980                0.666666667
## 6720  1981                0.873873874
## 6721  1982                0.550000000
## 6722  1983                1.086956522
## 6723  1984                0.666666667
## 6724  1985                0.609375000
## 6725  1986                1.044776119
## 6726  1987                0.246478873
## 6727  1988                0.495575221
## 6728  1989                0.505263158
## 6729  1990                0.618750000
## 6730  1991                0.191666667
## 6731  1992                0.336363636
## 6732  1993                0.277372263
## 6733  1994                        NaN
## 6734  1995                        NaN
## 6735  1996                0.888888889
## 6736  1997                0.750000000
## 6737  1998                0.822222222
## 6738  1999                0.515873016
## 6739  2000                0.628205128
## 6740  2001                0.186046512
## 6741  2002                0.142857143
## 6742  2003                0.800000000
## 6743  2004                1.000000000
## 6744  2005                2.000000000
## 6745  2006                1.142857143
## 6746  2007                1.250000000
## 6747  2008                        NaN
## 6748  2009                        NaN
## 6749  2010                        NaN
## 6750  2011                        NaN
## 6751  2012                        NaN
## 6752  2013                1.333333333
## 6753  2014                1.200000000
## 6754  2015                1.414814815
## 6755  2016                1.550000000
## 6756  2017                        NaN
## 6757  1966                0.324675325
## 6758  1967                0.291139241
## 6759  1968                0.347150259
## 6760  1969                0.343949045
## 6761  1970                0.407766990
## 6762  1971                0.422680412
## 6763  1972                0.263157895
## 6764  1973                0.555555556
## 6765  1974                0.422222222
## 6766  1975                0.448275862
## 6767  1976                0.547619048
## 6768  1977                0.588235294
## 6769  1978                0.687500000
## 6770  1979                0.745098039
## 6771  1980                0.666666667
## 6772  1981                0.857142857
## 6773  1982                0.562500000
## 6774  1983                1.062500000
## 6775  1984                0.666666667
## 6776  1985                0.615384615
## 6777  1986                1.058823529
## 6778  1987                0.253333333
## 6779  1988                0.500000000
## 6780  1989                0.510638298
## 6781  1990                0.615384615
## 6782  1991                0.200000000
## 6783  1992                0.340659341
## 6784  1993                0.279569892
## 6785  1994                        NaN
## 6786  1995                        NaN
## 6787  1996                0.916666667
## 6788  1997                0.714285714
## 6789  1998                0.800000000
## 6790  1999                1.307692308
## 6791  2000                0.625000000
## 6792  2001                0.770833333
## 6793  2002                0.220338983
## 6794  2003                0.750000000
## 6795  2004                1.000000000
## 6796  2005                1.222222222
## 6797  2006                1.000000000
## 6798  2007                1.000000000
## 6799  2008                1.166666667
## 6800  2009                1.000000000
## 6801  2010                1.060606061
## 6802  2011                        NaN
## 6803  2012                        NaN
## 6804  2013                1.452830189
## 6805  2014                        NaN
## 6806  2015                1.400000000
## 6807  2016                2.000000000
## 6808  2017                2.000000000
## 6809  1966                0.117988395
## 6810  1967                0.109304426
## 6811  1968                0.067868505
## 6812  1969                0.009503696
## 6813  1970                0.211297071
## 6814  1971                0.128555176
## 6815  1972                0.009259259
## 6816  1973                0.341637011
## 6817  1974                0.134453782
## 6818  1975                0.370426829
## 6819  1976                0.359454855
## 6820  1977                0.486254296
## 6821  1978                0.421311475
## 6822  1979                0.387640449
## 6823  1980                0.212041885
## 6824  1981                0.314247670
## 6825  1982                0.092931937
## 6826  1983                0.328484848
## 6827  1984                0.514415781
## 6828  1985                0.106544901
## 6829  1986                0.006322445
## 6830  1987                0.000000000
## 6831  1988                0.243564356
## 6832  1989                0.446808511
## 6833  1990                        NaN
## 6834  1991                0.142857143
## 6835  1992                0.346938776
## 6836  1993                        NaN
## 6837  1994                        NaN
## 6838  1995                        NaN
## 6839  1996                        NaN
## 6840  1997                        NaN
## 6841  1998                        NaN
## 6842  1999                        NaN
## 6843  2000                        NaN
## 6844  2001                        NaN
## 6845  2002                        NaN
## 6846  2003                        NaN
## 6847  2004                        NaN
## 6848  2005                1.333333333
## 6849  2006                        NaN
## 6850  2007                        NaN
## 6851  2008                        NaN
## 6852  2009                        NaN
## 6853  2010                        NaN
## 6854  2011                        NaN
## 6855  2012                        NaN
## 6856  2013                1.443042582
## 6857  2014                        NaN
## 6858  2015                1.400000000
## 6859  2016                1.539806548
## 6860  2017                1.393568147
## 6861  1966                0.410852713
## 6862  1967                0.292749658
## 6863  1968                0.108917631
## 6864  1969                0.296021578
## 6865  1970                0.280590717
## 6866  1971                0.496697490
## 6867  1972                0.128650904
## 6868  1973                0.398489141
## 6869  1974                0.539696699
## 6870  1975                0.618932039
## 6871  1976                0.517766497
## 6872  1977                0.570671378
## 6873  1978                0.650042265
## 6874  1979                0.549471662
## 6875  1980                0.831963470
## 6876  1981                0.498272884
## 6877  1982                0.496682464
## 6878  1983                0.683417085
## 6879  1984                0.490846682
## 6880  1985                0.369545032
## 6881  1986                0.154679803
## 6882  1987                0.191943128
## 6883  1988                0.549180328
## 6884  1989                0.169343066
## 6885  1990                0.345649583
## 6886  1991                0.194379391
## 6887  1992                0.339222615
## 6888  1993                0.275524476
## 6889  1994                        NaN
## 6890  1995                        NaN
## 6891  1996                0.896226415
## 6892  1997                0.781609195
## 6893  1998                0.859154930
## 6894  1999                1.333333333
## 6895  2000                0.628865979
## 6896  2001                0.752688172
## 6897  2002                0.221374046
## 6898  2003                0.882686850
## 6899  2004                1.000000000
## 6900  2005                1.137404580
## 6901  2006                1.115532119
## 6902  2007                1.360975610
## 6903  2008                1.186440678
## 6904  2009                0.917582418
## 6905  2010                1.062176166
## 6906  2011                0.994202899
## 6907  2012                1.000000000
## 6908  2013                1.050632911
## 6909  2014                1.193548387
## 6910  2015                1.413533835
## 6911  2016                1.544554455
## 6912  2017                1.394736842
## 6913  1966                0.326530612
## 6914  1967                0.296875000
## 6915  1968                0.277777778
## 6916  1969                0.339285714
## 6917  1970                0.395833333
## 6918  1971                0.421052632
## 6919  1972                0.276595745
## 6920  1973                0.574468085
## 6921  1974                0.428571429
## 6922  1975                0.440000000
## 6923  1976                0.571428571
## 6924  1977                0.565217391
## 6925  1978                0.666666667
## 6926  1979                0.750000000
## 6927  1980                0.666666667
## 6928  1981                0.888888889
## 6929  1982                0.533333333
## 6930  1983                1.125000000
## 6931  1984                0.812500000
## 6932  1985                0.642857143
## 6933  1986                1.043478261
## 6934  1987                0.263157895
## 6935  1988                0.500000000
## 6936  1989                0.500000000
## 6937  1990                0.614035088
## 6938  1991                0.190476190
## 6939  1992                0.340425532
## 6940  1993                0.282608696
## 6941  1994                        NaN
## 6942  1995                        NaN
## 6943  1996                1.000000000
## 6944  1997                0.812500000
## 6945  1998                0.800000000
## 6946  1999                0.675675676
## 6947  2000                0.638888889
## 6948  2001                0.753623188
## 6949  2002                0.229508197
## 6950  2003                0.880000000
## 6951  2004                0.466666667
## 6952  2005                1.120000000
## 6953  2006                1.111111111
## 6954  2007                1.333333333
## 6955  2008                1.181818182
## 6956  2009                0.909090909
## 6957  2010                1.078431373
## 6958  2011                1.000000000
## 6959  2012                1.250000000
## 6960  2013                1.666666667
## 6961  2014                1.266666667
## 6962  2015                1.444444444
## 6963  2016                1.454545455
## 6964  2017                1.333333333
## 6965  1966                0.120000000
## 6966  1967                0.148316652
## 6967  1968                0.210526316
## 6968  1969                0.064516129
## 6969  1970                0.256825076
## 6970  1971                0.291666667
## 6971  1972                0.074509804
## 6972  1973                0.120622568
## 6973  1974                0.019911504
## 6974  1975                0.611167513
## 6975  1976                0.747048904
## 6976  1977                0.172344689
## 6977  1978                0.396788991
## 6978  1979                0.842406877
## 6979  1980                0.659574468
## 6980  1981                0.610236220
## 6981  1982                0.446808511
## 6982  1983                1.034090909
## 6983  1984                0.546153846
## 6984  1985                0.168539326
## 6985  1986                0.348739496
## 6986  1987                0.000000000
## 6987  1988                0.955752212
## 6988  1989                0.606896552
## 6989  1990                0.261904762
## 6990  1991                0.142857143
## 6991  1992                0.333333333
## 6992  1993                0.272727273
## 6993  1994                        NaN
## 6994  1995                        NaN
## 6995  1996                0.863636364
## 6996  1997                        NaN
## 6997  1998                1.000000000
## 6998  1999                1.250000000
## 6999  2000                0.634146341
## 7000  2001                0.752475248
## 7001  2002                0.300000000
## 7002  2003                0.634146341
## 7003  2004                0.959459459
## 7004  2005                0.500000000
## 7005  2006                0.571428571
## 7006  2007                1.333333333
## 7007  2008                1.250000000
## 7008  2009                1.000000000
## 7009  2010                1.045454545
## 7010  2011                1.000000000
## 7011  2012                        NaN
## 7012  2013                1.449541284
## 7013  2014                1.221052632
## 7014  2015                1.413333333
## 7015  2016                1.533980583
## 7016  2017                        NaN
## 7017  1966                0.326633166
## 7018  1967                0.300448430
## 7019  1968                0.338308458
## 7020  1969                0.343612335
## 7021  1970                0.405555556
## 7022  1971                0.426035503
## 7023  1972                0.271428571
## 7024  1973                0.566176471
## 7025  1974                0.422535211
## 7026  1975                0.451977401
## 7027  1976                0.563909774
## 7028  1977                0.577777778
## 7029  1978                0.670886076
## 7030  1979                0.756097561
## 7031  1980                0.666666667
## 7032  1981                0.880952381
## 7033  1982                0.551401869
## 7034  1983                1.074766355
## 7035  1984                0.666666667
## 7036  1985                0.617647059
## 7037  1986                1.040000000
## 7038  1987                0.247368421
## 7039  1988                0.500000000
## 7040  1989                0.511363636
## 7041  1990                0.616666667
## 7042  1991                0.195454545
## 7043  1992                0.340163934
## 7044  1993                0.275510204
## 7045  1994                        NaN
## 7046  1995                        NaN
## 7047  1996                0.895287958
## 7048  1997                0.796296296
## 7049  1998                0.826086957
## 7050  1999                        NaN
## 7051  2000                0.666666667
## 7052  2001                        NaN
## 7053  2002                        NaN
## 7054  2003                1.000000000
## 7055  2004                1.000000000
## 7056  2005                1.105263158
## 7057  2006                1.166666667
## 7058  2007                1.312500000
## 7059  2008                1.000000000
## 7060  2009                1.000000000
## 7061  2010                1.000000000
## 7062  2011                        NaN
## 7063  2012                        NaN
## 7064  2013                        NaN
## 7065  2014                        NaN
## 7066  2015                        NaN
## 7067  2016                        NaN
## 7068  2017                        NaN
## 7069  1966                0.632373114
## 7070  1967                0.647682119
## 7071  1968                0.583949314
## 7072  1969                0.697183099
## 7073  1970                0.654775604
## 7074  1971                0.653645833
## 7075  1972                0.370523416
## 7076  1973                0.732273839
## 7077  1974                0.954922894
## 7078  1975                0.806994819
## 7079  1976                0.983216783
## 7080  1977                0.966878981
## 7081  1978                1.073333333
## 7082  1979                0.945516459
## 7083  1980                1.100997506
## 7084  1981                1.079220779
## 7085  1982                1.154050465
## 7086  1983                0.924895688
## 7087  1984                1.238879736
## 7088  1985                1.463678516
## 7089  1986                0.778846154
## 7090  1987                0.811290323
## 7091  1988                0.935537190
## 7092  1989                1.000000000
## 7093  1990                1.472527473
## 7094  1991                0.546494993
## 7095  1992                1.217987805
## 7096  1993                1.506531205
## 7097  1994                        NaN
## 7098  1995                        NaN
## 7099  1996                1.361516035
## 7100  1997                1.561643836
## 7101  1998                1.416342412
## 7102  1999                1.686170213
## 7103  2000                1.150093809
## 7104  2001                1.100970874
## 7105  2002                1.596899225
## 7106  2003                1.407103825
## 7107  2004                1.579335793
## 7108  2005                1.388888889
## 7109  2006                1.244000000
## 7110  2007                1.396501458
## 7111  2008                1.348901099
## 7112  2009                1.331932773
## 7113  2010                1.238095238
## 7114  2011                1.253918495
## 7115  2012                1.792035398
## 7116  2013                1.662447257
## 7117  2014                1.353632479
## 7118  2015                1.510214505
## 7119  2016                2.004593477
## 7120  2017                1.833580247
## 7121  1966                0.093227092
## 7122  1967                0.144129555
## 7123  1968                0.038277512
## 7124  1969                0.058907026
## 7125  1970                0.129172714
## 7126  1971                0.192906574
## 7127  1972                0.058394161
## 7128  1973                0.143759874
## 7129  1974                0.023373984
## 7130  1975                0.135549872
## 7131  1976                0.096311475
## 7132  1977                0.047120419
## 7133  1978                0.139817629
## 7134  1979                0.139607032
## 7135  1980                0.117584746
## 7136  1981                0.231927711
## 7137  1982                0.095744681
## 7138  1983                0.121319199
## 7139  1984                0.143438454
## 7140  1985                0.057636888
## 7141  1986                0.153386454
## 7142  1987                0.000000000
## 7143  1988                0.108571429
## 7144  1989                0.207624234
## 7145  1990                0.179640719
## 7146  1991                0.194139194
## 7147  1992                0.342723005
## 7148  1993                0.273542601
## 7149  1994                        NaN
## 7150  1995                        NaN
## 7151  1996                        NaN
## 7152  1997                        NaN
## 7153  1998                        NaN
## 7154  1999                        NaN
## 7155  2000                0.615384615
## 7156  2001                0.750000000
## 7157  2002                0.826086957
## 7158  2003                        NaN
## 7159  2004                        NaN
## 7160  2005                        NaN
## 7161  2006                1.120000000
## 7162  2007                1.341772152
## 7163  2008                1.261904762
## 7164  2009                0.990384615
## 7165  2010                1.074074074
## 7166  2011                0.979166667
## 7167  2012                        NaN
## 7168  2013                1.443110898
## 7169  2014                1.215686275
## 7170  2015                1.414285714
## 7171  2016                1.545454545
## 7172  2017                1.500000000
## 7173  1966                0.205357143
## 7174  1967                0.137614679
## 7175  1968                0.009596929
## 7176  1969                0.094017094
## 7177  1970                0.344262295
## 7178  1971                0.140186916
## 7179  1972                0.020202020
## 7180  1973                0.176991150
## 7181  1974                0.060240964
## 7182  1975                0.075688073
## 7183  1976                0.092289720
## 7184  1977                0.037854890
## 7185  1978                0.100215517
## 7186  1979                0.012658228
## 7187  1980                0.012658228
## 7188  1981                0.030357143
## 7189  1982                0.132812500
## 7190  1983                0.233452594
## 7191  1984                0.312839060
## 7192  1985                0.015189873
## 7193  1986                0.047095761
## 7194  1987                0.015573770
## 7195  1988                0.189655172
## 7196  1989                0.206521739
## 7197  1990                        NaN
## 7198  1991                0.052873779
## 7199  1992                0.309945901
## 7200  1993                0.014468713
## 7201  1994                0.311812530
## 7202  1995                0.065837321
## 7203  1996                0.439219166
## 7204  1997                0.326848616
## 7205  1998                0.057805666
## 7206  1999                0.189049403
## 7207  2000                0.099458673
## 7208  2001                0.462676165
## 7209  2002                0.038013319
## 7210  2003                0.583024220
## 7211  2004                0.251834556
## 7212  2005                0.026893770
## 7213  2006                0.587940035
## 7214  2007                0.461802763
## 7215  2008                0.535519888
## 7216  2009                0.016180570
## 7217  2010                0.758074573
## 7218  2011                0.768423768
## 7219  2012                0.776461880
## 7220  2013                0.599192036
## 7221  2014                0.562172394
## 7222  2015                0.306815096
## 7223  2016                0.566615727
## 7224  2017                0.587702010
## 7225  1966                0.218750000
## 7226  1967                0.153846154
## 7227  1968                0.149253731
## 7228  1969                0.304347826
## 7229  1970                0.625000000
## 7230  1971                0.153846154
## 7231  1972                0.454545455
## 7232  1973                0.433333333
## 7233  1974                0.041666667
## 7234  1975                0.196969697
## 7235  1976                0.407407407
## 7236  1977                0.222222222
## 7237  1978                0.386904762
## 7238  1979                0.609890110
## 7239  1980                0.648351648
## 7240  1981                0.408284024
## 7241  1982                0.583333333
## 7242  1983                0.659090909
## 7243  1984                0.569832402
## 7244  1985                0.308108108
## 7245  1986                0.175182482
## 7246  1987                0.000000000
## 7247  1988                0.596774194
## 7248  1989                0.527472527
## 7249  1990                0.221954742
## 7250  1991                0.408749146
## 7251  1992                0.612584824
## 7252  1993                0.227802038
## 7253  1994                0.849868766
## 7254  1995                0.352905569
## 7255  1996                0.694886364
## 7256  1997                0.626992032
## 7257  1998                0.677924217
## 7258  1999                0.815429282
## 7259  2000                0.629501916
## 7260  2001                0.553102874
## 7261  2002                0.151399116
## 7262  2003                0.519848771
## 7263  2004                0.507315413
## 7264  2005                0.575441124
## 7265  2006                0.706418800
## 7266  2007                0.693405200
## 7267  2008                0.626328700
## 7268  2009                0.340263340
## 7269  2010                0.655829947
## 7270  2011                0.945819398
## 7271  2012                0.728230337
## 7272  2013                0.844129555
## 7273  2014                0.901261261
## 7274  2015                0.862288136
## 7275  2016                0.869908562
## 7276  2017                0.683922559
## 7277  1966                0.300000000
## 7278  1967                0.478260870
## 7279  1968                0.227272727
## 7280  1969                0.333333333
## 7281  1970                0.375000000
## 7282  1971                0.500000000
## 7283  1972                0.333333333
## 7284  1973                0.142857143
## 7285  1974                0.400000000
## 7286  1975                0.510638298
## 7287  1976                0.400000000
## 7288  1977                0.611111111
## 7289  1978                0.800000000
## 7290  1979                0.285714286
## 7291  1980                0.607594937
## 7292  1981                0.415384615
## 7293  1982                0.428571429
## 7294  1983                0.601562500
## 7295  1984                0.739726027
## 7296  1985                0.072463768
## 7297  1986                0.490196078
## 7298  1987                0.296296296
## 7299  1988                1.469387755
## 7300  1989                0.984126984
## 7301  1990                1.297142857
## 7302  1991                0.432653061
## 7303  1992                0.837378641
## 7304  1993                0.242857143
## 7305  1994                0.404878049
## 7306  1995                0.236994220
## 7307  1996                0.469230769
## 7308  1997                0.479532164
## 7309  1998                0.285714286
## 7310  1999                0.306930693
## 7311  2000                0.202380952
## 7312  2001                0.410000000
## 7313  2002                0.125000000
## 7314  2003                0.707964602
## 7315  2004                0.457142857
## 7316  2005                0.289855072
## 7317  2006                0.631578947
## 7318  2007                0.583333333
## 7319  2008                0.779661017
## 7320  2009                0.785714286
## 7321  2010                0.704918033
## 7322  2011                0.720930233
## 7323  2012                0.617647059
## 7324  2013                0.611111111
## 7325  2014                0.760000000
## 7326  2015                0.500000000
## 7327  2016                0.606060606
## 7328  2017                0.586206897
## 7329  1966                0.066666667
## 7330  1967                0.250000000
## 7331  1968                0.052631579
## 7332  1969                0.285714286
## 7333  1970                0.333333333
## 7334  1971                0.150000000
## 7335  1972                0.034482759
## 7336  1973                0.200000000
## 7337  1974                0.000000000
## 7338  1975                0.187500000
## 7339  1976                0.210526316
## 7340  1977                0.250000000
## 7341  1978                0.250000000
## 7342  1979                0.000000000
## 7343  1980                0.000000000
## 7344  1981                0.416666667
## 7345  1982                0.333333333
## 7346  1983                0.588235294
## 7347  1984                0.523809524
## 7348  1985                0.391304348
## 7349  1986                0.225806452
## 7350  1987                0.250000000
## 7351  1988                0.562500000
## 7352  1989                0.379310345
## 7353  1990                0.558510638
## 7354  1991                0.219512195
## 7355  1992                0.531707317
## 7356  1993                0.244897959
## 7357  1994                0.405797101
## 7358  1995                0.236686391
## 7359  1996                0.462962963
## 7360  1997                0.475524476
## 7361  1998                0.290322581
## 7362  1999                0.312741313
## 7363  2000                0.201438849
## 7364  2001                0.413533835
## 7365  2002                0.138888889
## 7366  2003                0.711864407
## 7367  2004                0.464285714
## 7368  2005                0.284722222
## 7369  2006                0.459102902
## 7370  2007                0.098360656
## 7371  2008                0.165803109
## 7372  2009                0.000000000
## 7373  2010                0.701818182
## 7374  2011                0.385638298
## 7375  2012                0.141403866
## 7376  2013                0.351010101
## 7377  2014                0.729678639
## 7378  2015                0.159395973
## 7379  2016                0.069591528
## 7380  2017                0.131284916
## 7381  1966                0.416666667
## 7382  1967                0.121951220
## 7383  1968                0.080645161
## 7384  1969                0.235294118
## 7385  1970                0.405405405
## 7386  1971                0.387096774
## 7387  1972                0.652173913
## 7388  1973                0.406250000
## 7389  1974                1.000000000
## 7390  1975                0.235772358
## 7391  1976                0.373134328
## 7392  1977                0.100000000
## 7393  1978                0.395939086
## 7394  1979                0.742857143
## 7395  1980                0.722222222
## 7396  1981                0.229946524
## 7397  1982                0.466666667
## 7398  1983                0.533742331
## 7399  1984                0.925742574
## 7400  1985                0.651685393
## 7401  1986                0.084805654
## 7402  1987                0.246575342
## 7403  1988                0.678571429
## 7404  1989                0.733333333
## 7405  1990                0.606527319
## 7406  1991                0.431830239
## 7407  1992                0.834392207
## 7408  1993                0.327040816
## 7409  1994                0.546132972
## 7410  1995                0.441889632
## 7411  1996                0.583254494
## 7412  1997                0.713492991
## 7413  1998                0.659170956
## 7414  1999                0.795396419
## 7415  2000                0.958901237
## 7416  2001                0.548641975
## 7417  2002                0.326565144
## 7418  2003                0.703296703
## 7419  2004                0.487106017
## 7420  2005                0.564229249
## 7421  2006                0.621840815
## 7422  2007                0.785207894
## 7423  2008                0.673841834
## 7424  2009                0.552047361
## 7425  2010                0.622157540
## 7426  2011                0.850625602
## 7427  2012                0.739939333
## 7428  2013                0.889740315
## 7429  2014                1.080534022
## 7430  2015                1.108060055
## 7431  2016                0.696613546
## 7432  2017                0.569480134
## 7433  1966                0.185185185
## 7434  1967                0.217391304
## 7435  1968                0.046948357
## 7436  1969                0.133333333
## 7437  1970                0.195652174
## 7438  1971                0.074074074
## 7439  1972                0.100000000
## 7440  1973                0.137931034
## 7441  1974                0.076923077
## 7442  1975                0.093023256
## 7443  1976                0.250000000
## 7444  1977                0.212121212
## 7445  1978                0.177966102
## 7446  1979                0.292253521
## 7447  1980                0.292253521
## 7448  1981                0.200657895
## 7449  1982                0.478260870
## 7450  1983                0.609418283
## 7451  1984                0.533834586
## 7452  1985                0.058309038
## 7453  1986                0.230946882
## 7454  1987                0.241379310
## 7455  1988                0.531347962
## 7456  1989                0.396739130
## 7457  1990                0.489313836
## 7458  1991                0.301231803
## 7459  1992                0.479859335
## 7460  1993                0.022946860
## 7461  1994                0.569440655
## 7462  1995                0.166085578
## 7463  1996                0.575891448
## 7464  1997                0.503509420
## 7465  1998                0.067832168
## 7466  1999                0.409321175
## 7467  2000                0.140282783
## 7468  2001                0.432763460
## 7469  2002                0.012294010
## 7470  2003                0.638677981
## 7471  2004                0.444272046
## 7472  2005                0.132792038
## 7473  2006                0.880494867
## 7474  2007                0.618170061
## 7475  2008                0.421332388
## 7476  2009                0.121506986
## 7477  2010                0.641408555
## 7478  2011                0.758095238
## 7479  2012                1.518266780
## 7480  2013                0.883439298
## 7481  2014                0.936282091
## 7482  2015                0.280603949
## 7483  2016                0.786267996
## 7484  2017                1.000495663
## 7485  1966                0.125000000
## 7486  1967                0.100000000
## 7487  1968                        NaN
## 7488  1969                        NaN
## 7489  1970                0.500000000
## 7490  1971                0.500000000
## 7491  1972                0.333333333
## 7492  1973                0.500000000
## 7493  1974                0.666666667
## 7494  1975                0.500000000
## 7495  1976                0.500000000
## 7496  1977                0.363636364
## 7497  1978                0.387096774
## 7498  1979                0.142857143
## 7499  1980                0.333333333
## 7500  1981                0.400000000
## 7501  1982                0.400000000
## 7502  1983                0.625000000
## 7503  1984                0.500000000
## 7504  1985                0.333333333
## 7505  1986                0.333333333
## 7506  1987                0.200000000
## 7507  1988                0.500000000
## 7508  1989                0.400000000
## 7509  1990                0.554838710
## 7510  1991                0.222222222
## 7511  1992                0.530546624
## 7512  1993                0.243362832
## 7513  1994                0.403162055
## 7514  1995                0.235955056
## 7515  1996                0.465838509
## 7516  1997                0.475177305
## 7517  1998                0.284313725
## 7518  1999                0.313725490
## 7519  2000                0.198347107
## 7520  2001                0.416666667
## 7521  2002                0.111111111
## 7522  2003                0.715000000
## 7523  2004                0.469387755
## 7524  2005                0.292929293
## 7525  2006                0.547169811
## 7526  2007                0.628205128
## 7527  2008                0.579268293
## 7528  2009                0.147540984
## 7529  2010                0.701754386
## 7530  2011                0.734939759
## 7531  2012                0.636363636
## 7532  2013                0.631578947
## 7533  2014                0.758620690
## 7534  2015                0.555555556
## 7535  2016                0.750000000
## 7536  2017                0.585365854
## 7537  1966                0.192982456
## 7538  1967                0.290322581
## 7539  1968                0.133136095
## 7540  1969                0.428571429
## 7541  1970                0.578947368
## 7542  1971                0.312500000
## 7543  1972                0.565217391
## 7544  1973                0.490566038
## 7545  1974                0.361111111
## 7546  1975                0.255952381
## 7547  1976                0.491048593
## 7548  1977                0.481792717
## 7549  1978                0.488311688
## 7550  1979                0.181405896
## 7551  1980                0.201814059
## 7552  1981                0.545638945
## 7553  1982                0.270270270
## 7554  1983                0.425485961
## 7555  1984                0.659090909
## 7556  1985                0.800000000
## 7557  1986                0.353424658
## 7558  1987                0.130841121
## 7559  1988                0.853658537
## 7560  1989                0.243986254
## 7561  1990                0.786743516
## 7562  1991                0.229783473
## 7563  1992                0.651001226
## 7564  1993                0.707343413
## 7565  1994                0.479150275
## 7566  1995                0.341918295
## 7567  1996                0.523144747
## 7568  1997                0.718969555
## 7569  1998                0.733236152
## 7570  1999                1.115942029
## 7571  2000                0.495341615
## 7572  2001                0.661129568
## 7573  2002                0.071794872
## 7574  2003                1.471598415
## 7575  2004                0.675675676
## 7576  2005                1.132678133
## 7577  2006                0.664122137
## 7578  2007                1.028673835
## 7579  2008                0.836206897
## 7580  2009                0.121019108
## 7581  2010                0.701492537
## 7582  2011                0.785714286
## 7583  2012                1.000000000
## 7584  2013                0.571428571
## 7585  2014                0.714285714
## 7586  2015                0.500000000
## 7587  2016                0.588235294
## 7588  2017                0.600000000
## 7589  1966                0.431034483
## 7590  1967                0.548387097
## 7591  1968                0.281124498
## 7592  1969                0.388888889
## 7593  1970                0.622950820
## 7594  1971                0.320754717
## 7595  1972                0.534883721
## 7596  1973                0.151162791
## 7597  1974                0.730769231
## 7598  1975                0.576470588
## 7599  1976                0.495073892
## 7600  1977                0.739247312
## 7601  1978                1.015695067
## 7602  1979                0.801680672
## 7603  1980                0.801680672
## 7604  1981                0.763419483
## 7605  1982                0.500000000
## 7606  1983                1.053333333
## 7607  1984                0.947521866
## 7608  1985                0.753462604
## 7609  1986                0.376590331
## 7610  1987                0.325520833
## 7611  1988                1.145593870
## 7612  1989                0.950391645
## 7613  1990                0.461288416
## 7614  1991                0.236491778
## 7615  1992                0.841240876
## 7616  1993                0.617987533
## 7617  1994                0.650537634
## 7618  1995                0.542923434
## 7619  1996                0.507571509
## 7620  1997                0.874466789
## 7621  1998                0.663888889
## 7622  1999                0.711509716
## 7623  2000                0.487216947
## 7624  2001                0.653868195
## 7625  2002                0.449685535
## 7626  2003                0.411683533
## 7627  2004                0.643410853
## 7628  2005                0.679135495
## 7629  2006                0.771622935
## 7630  2007                0.927889714
## 7631  2008                0.808398950
## 7632  2009                0.626288660
## 7633  2010                0.649507119
## 7634  2011                1.022485207
## 7635  2012                1.059961315
## 7636  2013                0.959923664
## 7637  2014                1.314368370
## 7638  2015                1.141348497
## 7639  2016                0.908759124
## 7640  2017                1.082520630
## 7641  1966                0.250000000
## 7642  1967                0.000000000
## 7643  1968                0.000000000
## 7644  1969                0.000000000
## 7645  1970                        NaN
## 7646  1971                        NaN
## 7647  1972                        NaN
## 7648  1973                        NaN
## 7649  1974                        NaN
## 7650  1975                0.000000000
## 7651  1976                0.000000000
## 7652  1977                0.500000000
## 7653  1978                0.500000000
## 7654  1979                0.000000000
## 7655  1980                        NaN
## 7656  1981                0.000000000
## 7657  1982                        NaN
## 7658  1983                        NaN
## 7659  1984                0.000000000
## 7660  1985                        NaN
## 7661  1986                        NaN
## 7662  1987                        NaN
## 7663  1988                        NaN
## 7664  1989                        NaN
## 7665  1990                0.000000000
## 7666  1991                0.000000000
## 7667  1992                        NaN
## 7668  1993                        NaN
## 7669  1994                        NaN
## 7670  1995                0.333333333
## 7671  1996                1.000000000
## 7672  1997                1.000000000
## 7673  1998                0.000000000
## 7674  1999                        NaN
## 7675  2000                0.200000000
## 7676  2001                0.000000000
## 7677  2002                0.000000000
## 7678  2003                        NaN
## 7679  2004                        NaN
## 7680  2005                        NaN
## 7681  2006                        NaN
## 7682  2007                        NaN
## 7683  2008                0.000000000
## 7684  2009                0.000000000
## 7685  2010                        NaN
## 7686  2011                        NaN
## 7687  2012                0.666666667
## 7688  2013                0.666666667
## 7689  2014                        NaN
## 7690  2015                        NaN
## 7691  2016                        NaN
## 7692  2017                        NaN
## 7693  1966                0.357142857
## 7694  1967                0.478260870
## 7695  1968                0.428571429
## 7696  1969                0.333333333
## 7697  1970                0.434782609
## 7698  1971                0.500000000
## 7699  1972                0.500000000
## 7700  1973                0.500000000
## 7701  1974                0.666666667
## 7702  1975                0.500000000
## 7703  1976                0.500000000
## 7704  1977                0.750000000
## 7705  1978                1.000000000
## 7706  1979                0.500000000
## 7707  1980                0.500000000
## 7708  1981                0.400000000
## 7709  1982                0.333333333
## 7710  1983                0.615384615
## 7711  1984                0.466666667
## 7712  1985                0.428571429
## 7713  1986                0.222222222
## 7714  1987                0.263157895
## 7715  1988                0.514705882
## 7716  1989                0.403508772
## 7717  1990                0.555555556
## 7718  1991                0.224489796
## 7719  1992                0.528384279
## 7720  1993                0.242290749
## 7721  1994                0.405263158
## 7722  1995                0.233766234
## 7723  1996                0.468503937
## 7724  1997                0.472602740
## 7725  1998                0.285714286
## 7726  1999                0.308411215
## 7727  2000                0.195402299
## 7728  2001                0.418367347
## 7729  2002                0.132075472
## 7730  2003                0.717948718
## 7731  2004                0.462500000
## 7732  2005                0.287500000
## 7733  2006                0.550000000
## 7734  2007                0.637500000
## 7735  2008                0.576923077
## 7736  2009                0.142857143
## 7737  2010                0.703125000
## 7738  2011                0.745454545
## 7739  2012                0.615384615
## 7740  2013                0.630434783
## 7741  2014                0.750000000
## 7742  2015                0.560000000
## 7743  2016                0.600000000
## 7744  2017                0.565217391
## 7745  1966                0.153846154
## 7746  1967                0.035087719
## 7747  1968                0.163265306
## 7748  1969                0.175000000
## 7749  1970                0.428571429
## 7750  1971                0.200000000
## 7751  1972                0.333333333
## 7752  1973                0.400000000
## 7753  1974                1.000000000
## 7754  1975                0.333333333
## 7755  1976                0.437500000
## 7756  1977                0.363636364
## 7757  1978                0.368421053
## 7758  1979                0.363636364
## 7759  1980                0.363636364
## 7760  1981                0.384615385
## 7761  1982                0.400000000
## 7762  1983                0.609756098
## 7763  1984                0.487804878
## 7764  1985                0.382022472
## 7765  1986                0.250000000
## 7766  1987                0.200000000
## 7767  1988                0.600000000
## 7768  1989                0.428571429
## 7769  1990                0.565217391
## 7770  1991                0.232558140
## 7771  1992                0.532467532
## 7772  1993                0.237288136
## 7773  1994                0.404761905
## 7774  1995                0.233333333
## 7775  1996                0.450000000
## 7776  1997                0.479166667
## 7777  1998                0.000000000
## 7778  1999                0.333333333
## 7779  2000                0.190476190
## 7780  2001                0.391304348
## 7781  2002                0.000000000
## 7782  2003                0.750000000
## 7783  2004                0.444444444
## 7784  2005                0.272727273
## 7785  2006                0.500000000
## 7786  2007                        NaN
## 7787  2008                0.666666667
## 7788  2009                0.150943396
## 7789  2010                        NaN
## 7790  2011                1.000000000
## 7791  2012                0.666666667
## 7792  2013                0.615384615
## 7793  2014                0.714285714
## 7794  2015                0.550000000
## 7795  2016                0.583333333
## 7796  2017                0.583333333
## 7797  1966                0.170731707
## 7798  1967                0.238095238
## 7799  1968                0.118343195
## 7800  1969                0.153846154
## 7801  1970                0.454545455
## 7802  1971                0.147058824
## 7803  1972                0.200000000
## 7804  1973                0.432432432
## 7805  1974                0.007407407
## 7806  1975                0.028000000
## 7807  1976                0.302238806
## 7808  1977                0.026666667
## 7809  1978                0.397810219
## 7810  1979                0.061855670
## 7811  1980                0.061855670
## 7812  1981                0.076923077
## 7813  1982                0.166666667
## 7814  1983                0.163522013
## 7815  1984                0.152103560
## 7816  1985                0.026809651
## 7817  1986                0.242990654
## 7818  1987                0.016666667
## 7819  1988                0.392617450
## 7820  1989                0.219298246
## 7821  1990                0.254172989
## 7822  1991                0.176786313
## 7823  1992                0.302876481
## 7824  1993                0.193535188
## 7825  1994                0.844679445
## 7826  1995                0.138161274
## 7827  1996                0.585193452
## 7828  1997                0.394379391
## 7829  1998                0.206293706
## 7830  1999                0.098748261
## 7831  2000                0.073266037
## 7832  2001                0.295808067
## 7833  2002                0.057142857
## 7834  2003                0.933159516
## 7835  2004                0.477466120
## 7836  2005                0.225102669
## 7837  2006                0.350880872
## 7838  2007                0.657775021
## 7839  2008                0.907474834
## 7840  2009                0.142948445
## 7841  2010                0.620718816
## 7842  2011                0.648228713
## 7843  2012                0.594835536
## 7844  2013                1.045429815
## 7845  2014                0.646931720
## 7846  2015                0.486660929
## 7847  2016                0.642569329
## 7848  2017                0.430686406
## 7849  1966                0.058823529
## 7850  1967                0.114285714
## 7851  1968                0.000000000
## 7852  1969                        NaN
## 7853  1970                0.333333333
## 7854  1971                0.100000000
## 7855  1972                0.071428571
## 7856  1973                0.333333333
## 7857  1974                0.000000000
## 7858  1975                0.166666667
## 7859  1976                0.250000000
## 7860  1977                0.263157895
## 7861  1978                0.227272727
## 7862  1979                0.071428571
## 7863  1980                0.035714286
## 7864  1981                0.407407407
## 7865  1982                0.400000000
## 7866  1983                0.590909091
## 7867  1984                0.500000000
## 7868  1985                0.380952381
## 7869  1986                0.250000000
## 7870  1987                        NaN
## 7871  1988                0.500000000
## 7872  1989                0.411764706
## 7873  1990                0.555102041
## 7874  1991                0.223214286
## 7875  1992                0.531914894
## 7876  1993                0.243119266
## 7877  1994                0.402945114
## 7878  1995                0.234375000
## 7879  1996                0.468390805
## 7880  1997                0.475308642
## 7881  1998                0.289855072
## 7882  1999                0.310975610
## 7883  2000                0.199324324
## 7884  2001                0.412060302
## 7885  2002                0.000000000
## 7886  2003                0.715277778
## 7887  2004                0.463235294
## 7888  2005                0.285714286
## 7889  2006                0.435139573
## 7890  2007                0.528712871
## 7891  2008                0.036065574
## 7892  2009                0.000000000
## 7893  2010                0.709803922
## 7894  2011                0.740963855
## 7895  2012                0.141274238
## 7896  2013                0.087155963
## 7897  2014                0.062827225
## 7898  2015                0.515527950
## 7899  2016                0.469648562
## 7900  2017                0.181818182
## 7901  1966                0.200000000
## 7902  1967                0.200000000
## 7903  1968                0.714285714
## 7904  1969                0.000000000
## 7905  1970                0.333333333
## 7906  1971                0.333333333
## 7907  1972                0.000000000
## 7908  1973                0.176470588
## 7909  1974                0.000000000
## 7910  1975                0.250000000
## 7911  1976                0.250000000
## 7912  1977                0.285714286
## 7913  1978                0.208333333
## 7914  1979                0.085714286
## 7915  1980                0.000000000
## 7916  1981                0.454545455
## 7917  1982                0.500000000
## 7918  1983                0.583333333
## 7919  1984                0.478260870
## 7920  1985                0.388888889
## 7921  1986                0.230769231
## 7922  1987                0.222222222
## 7923  1988                0.500000000
## 7924  1989                0.400000000
## 7925  1990                0.565000000
## 7926  1991                0.224242424
## 7927  1992                0.540785498
## 7928  1993                0.245847176
## 7929  1994                0.405844156
## 7930  1995                0.239436620
## 7931  1996                0.466442953
## 7932  1997                0.475438596
## 7933  1998                0.296052632
## 7934  1999                0.313186813
## 7935  2000                0.200000000
## 7936  2001                0.414736842
## 7937  2002                0.128787879
## 7938  2003                0.713302752
## 7939  2004                0.464419476
## 7940  2005                0.287640449
## 7941  2006                0.461290323
## 7942  2007                0.564102564
## 7943  2008                0.453020134
## 7944  2009                0.001466276
## 7945  2010                0.679530201
## 7946  2011                0.835714286
## 7947  2012                0.762222222
## 7948  2013                0.346590909
## 7949  2014                0.696378830
## 7950  2015                0.294392523
## 7951  2016                0.168356998
## 7952  2017                0.246220302
## 7953  1966                0.558139535
## 7954  1967                0.690647482
## 7955  1968                0.410509031
## 7956  1969                0.676258993
## 7957  1970                0.584000000
## 7958  1971                0.423423423
## 7959  1972                0.532846715
## 7960  1973                0.375000000
## 7961  1974                0.727272727
## 7962  1975                0.352099237
## 7963  1976                0.559577677
## 7964  1977                0.541666667
## 7965  1978                0.484147386
## 7966  1979                0.547585227
## 7967  1980                0.547585227
## 7968  1981                0.521341463
## 7969  1982                0.386792453
## 7970  1983                0.903122498
## 7971  1984                0.504596527
## 7972  1985                0.666666667
## 7973  1986                0.350000000
## 7974  1987                0.685004437
## 7975  1988                0.478042660
## 7976  1989                0.479512735
## 7977  1990                0.494961758
## 7978  1991                0.371342943
## 7979  1992                0.789783601
## 7980  1993                0.618699644
## 7981  1994                0.476632960
## 7982  1995                0.661866359
## 7983  1996                0.568005898
## 7984  1997                0.734213785
## 7985  1998                0.865030675
## 7986  1999                0.740075614
## 7987  2000                0.418677859
## 7988  2001                0.700598802
## 7989  2002                0.509922347
## 7990  2003                1.985495348
## 7991  2004                1.369525547
## 7992  2005                0.976130653
## 7993  2006                1.173149310
## 7994  2007                1.467094703
## 7995  2008                1.233820459
## 7996  2009                1.423326134
## 7997  2010                1.259668508
## 7998  2011                1.449197861
## 7999  2012                1.388059701
## 8000  2013                1.178571429
## 8001  2014                1.014388489
## 8002  2015                1.333333333
## 8003  2016                0.610000000
## 8004  2017                0.587301587
## 8005  1966                0.285714286
## 8006  1967                0.222222222
## 8007  1968                0.111111111
## 8008  1969                0.200000000
## 8009  1970                0.500000000
## 8010  1971                0.500000000
## 8011  1972                0.181818182
## 8012  1973                0.400000000
## 8013  1974                0.200000000
## 8014  1975                0.000000000
## 8015  1976                0.000000000
## 8016  1977                        NaN
## 8017  1978                0.500000000
## 8018  1979                0.000000000
## 8019  1980                        NaN
## 8020  1981                0.000000000
## 8021  1982                1.000000000
## 8022  1983                1.000000000
## 8023  1984                0.454545455
## 8024  1985                0.428571429
## 8025  1986                0.333333333
## 8026  1987                0.000000000
## 8027  1988                        NaN
## 8028  1989                        NaN
## 8029  1990                1.000000000
## 8030  1991                0.500000000
## 8031  1992                0.000000000
## 8032  1993                0.500000000
## 8033  1994                0.388888889
## 8034  1995                0.250000000
## 8035  1996                0.485714286
## 8036  1997                0.000000000
## 8037  1998                        NaN
## 8038  1999                0.000000000
## 8039  2000                0.000000000
## 8040  2001                        NaN
## 8041  2002                0.000000000
## 8042  2003                0.000000000
## 8043  2004                0.333333333
## 8044  2005                0.000000000
## 8045  2006                1.000000000
## 8046  2007                1.000000000
## 8047  2008                0.500000000
## 8048  2009                        NaN
## 8049  2010                1.000000000
## 8050  2011                        NaN
## 8051  2012                        NaN
## 8052  2013                        NaN
## 8053  2014                        NaN
## 8054  2015                        NaN
## 8055  2016                        NaN
## 8056  2017                        NaN
## 8057  1966                0.007874016
## 8058  1967                0.086956522
## 8059  1968                0.000000000
## 8060  1969                0.250000000
## 8061  1970                0.285714286
## 8062  1971                0.142857143
## 8063  1972                0.005681818
## 8064  1973                0.080000000
## 8065  1974                0.375000000
## 8066  1975                0.060150376
## 8067  1976                0.045977011
## 8068  1977                0.442307692
## 8069  1978                0.194968553
## 8070  1979                0.142857143
## 8071  1980                0.016129032
## 8072  1981                0.000000000
## 8073  1982                0.008333333
## 8074  1983                0.092592593
## 8075  1984                0.191489362
## 8076  1985                0.000000000
## 8077  1986                0.000000000
## 8078  1987                0.031746032
## 8079  1988                0.062801932
## 8080  1989                0.161290323
## 8081  1990                0.415390505
## 8082  1991                0.080813347
## 8083  1992                0.368119266
## 8084  1993                0.051486906
## 8085  1994                0.429056348
## 8086  1995                0.030229326
## 8087  1996                0.444683136
## 8088  1997                0.452309237
## 8089  1998                0.038083012
## 8090  1999                0.031093544
## 8091  2000                0.001393728
## 8092  2001                0.260940562
## 8093  2002                0.272300469
## 8094  2003                0.758328286
## 8095  2004                0.535495879
## 8096  2005                0.161955241
## 8097  2006                0.434975588
## 8098  2007                0.528068949
## 8099  2008                0.439575395
## 8100  2009                0.006182883
## 8101  2010                0.709993012
## 8102  2011                0.637234043
## 8103  2012                0.279244306
## 8104  2013                0.280781759
## 8105  2014                0.822460391
## 8106  2015                0.623936367
## 8107  2016                0.470429503
## 8108  2017                0.580748043
## 8109  1966                0.401041667
## 8110  1967                0.605381166
## 8111  1968                0.430367505
## 8112  1969                0.542452830
## 8113  1970                0.624338624
## 8114  1971                0.450980392
## 8115  1972                0.484536082
## 8116  1973                0.652777778
## 8117  1974                0.531791908
## 8118  1975                0.391794047
## 8119  1976                0.635993011
## 8120  1977                0.676944639
## 8121  1978                0.476708075
## 8122  1979                0.588869960
## 8123  1980                0.588869960
## 8124  1981                0.856199187
## 8125  1982                0.793103448
## 8126  1983                0.981960313
## 8127  1984                0.968031968
## 8128  1985                0.895957588
## 8129  1986                0.639112903
## 8130  1987                0.685337727
## 8131  1988                1.084235860
## 8132  1989                0.657945736
## 8133  1990                1.082238721
## 8134  1991                0.569230769
## 8135  1992                1.205491365
## 8136  1993                0.872340426
## 8137  1994                0.610082598
## 8138  1995                0.891705704
## 8139  1996                0.846809610
## 8140  1997                1.105691057
## 8141  1998                1.132800000
## 8142  1999                1.150211993
## 8143  2000                0.558052434
## 8144  2001                1.020433695
## 8145  2002                0.515489467
## 8146  2003                1.002634352
## 8147  2004                1.700883002
## 8148  2005                1.127290260
## 8149  2006                1.069144339
## 8150  2007                1.408411215
## 8151  2008                1.206286837
## 8152  2009                1.270467836
## 8153  2010                0.941580756
## 8154  2011                1.031250000
## 8155  2012                1.085714286
## 8156  2013                1.160000000
## 8157  2014                1.066666667
## 8158  2015                0.889447236
## 8159  2016                1.316417910
## 8160  2017                1.154411765
## 8161  1966                0.079365079
## 8162  1967                0.160493827
## 8163  1968                0.160161507
## 8164  1969                0.026666667
## 8165  1970                0.273972603
## 8166  1971                0.275000000
## 8167  1972                0.059523810
## 8168  1973                0.205128205
## 8169  1974                0.075000000
## 8170  1975                0.247311828
## 8171  1976                0.279569892
## 8172  1977                0.252446184
## 8173  1978                0.219315895
## 8174  1979                0.066398390
## 8175  1980                0.058350101
## 8176  1981                0.032534247
## 8177  1982                0.085106383
## 8178  1983                0.324808184
## 8179  1984                0.347962382
## 8180  1985                0.059743954
## 8181  1986                0.042725173
## 8182  1987                0.000000000
## 8183  1988                0.222826087
## 8184  1989                0.426229508
## 8185  1990                0.589131330
## 8186  1991                0.258649399
## 8187  1992                0.536431440
## 8188  1993                0.208229143
## 8189  1994                0.323215049
## 8190  1995                0.150293871
## 8191  1996                0.619486375
## 8192  1997                0.452372583
## 8193  1998                0.153082017
## 8194  1999                0.267802450
## 8195  2000                0.163846588
## 8196  2001                0.259683996
## 8197  2002                0.134158927
## 8198  2003                0.449271659
## 8199  2004                0.428386540
## 8200  2005                0.340326340
## 8201  2006                0.412902026
## 8202  2007                0.834621329
## 8203  2008                0.829090909
## 8204  2009                0.073275060
## 8205  2010                1.043312388
## 8206  2011                1.044272136
## 8207  2012                0.176658673
## 8208  2013                0.516826923
## 8209  2014                0.871697727
## 8210  2015                0.720974984
## 8211  2016                0.581696925
## 8212  2017                0.496031746
## 8213  1966                0.042857143
## 8214  1967                0.092307692
## 8215  1968                0.093247588
## 8216  1969                0.014925373
## 8217  1970                0.532110092
## 8218  1971                0.044444444
## 8219  1972                0.007936508
## 8220  1973                0.113924051
## 8221  1974                0.034482759
## 8222  1975                0.095238095
## 8223  1976                0.182320442
## 8224  1977                0.245192308
## 8225  1978                0.281250000
## 8226  1979                0.039285714
## 8227  1980                0.019774011
## 8228  1981                0.005504587
## 8229  1982                0.063492063
## 8230  1983                0.361497326
## 8231  1984                0.217518248
## 8232  1985                0.018143010
## 8233  1986                0.017918089
## 8234  1987                0.248234107
## 8235  1988                0.229455710
## 8236  1989                0.230386052
## 8237  1990                0.305602548
## 8238  1991                0.128198330
## 8239  1992                0.200045362
## 8240  1993                0.029100246
## 8241  1994                0.173702868
## 8242  1995                0.021209484
## 8243  1996                0.215690333
## 8244  1997                0.206096106
## 8245  1998                0.006463836
## 8246  1999                0.021503174
## 8247  2000                0.009074868
## 8248  2001                0.312134788
## 8249  2002                0.040494268
## 8250  2003                0.523757904
## 8251  2004                0.418458311
## 8252  2005                0.121345458
## 8253  2006                0.515123400
## 8254  2007                0.465229485
## 8255  2008                0.349863925
## 8256  2009                0.007444169
## 8257  2010                0.619587629
## 8258  2011                0.618750600
## 8259  2012                0.570263910
## 8260  2013                0.496391498
## 8261  2014                0.632731605
## 8262  2015                0.506895842
## 8263  2016                0.584581924
## 8264  2017                0.313145809
## 8265  1966                0.595505618
## 8266  1967                0.214285714
## 8267  1968                0.271398747
## 8268  1969                0.514285714
## 8269  1970                0.810344828
## 8270  1971                0.276595745
## 8271  1972                0.500000000
## 8272  1973                0.563380282
## 8273  1974                0.391304348
## 8274  1975                0.336820084
## 8275  1976                0.607242340
## 8276  1977                0.481236203
## 8277  1978                0.506430868
## 8278  1979                0.356679637
## 8279  1980                0.356679637
## 8280  1981                0.412173913
## 8281  1982                0.727272727
## 8282  1983                0.745098039
## 8283  1984                0.806949807
## 8284  1985                0.423192771
## 8285  1986                0.534223706
## 8286  1987                0.195121951
## 8287  1988                0.771384137
## 8288  1989                0.392251816
## 8289  1990                1.109189882
## 8290  1991                0.165893271
## 8291  1992                0.713495935
## 8292  1993                0.427220179
## 8293  1994                0.554515419
## 8294  1995                0.722065064
## 8295  1996                0.772701314
## 8296  1997                0.744230769
## 8297  1998                0.844324324
## 8298  1999                0.948076923
## 8299  2000                0.459615385
## 8300  2001                0.614355231
## 8301  2002                0.146984925
## 8302  2003                1.175159236
## 8303  2004                1.123674912
## 8304  2005                1.020895522
## 8305  2006                1.170329670
## 8306  2007                1.784905660
## 8307  2008                1.621794872
## 8308  2009                1.531645570
## 8309  2010                0.698689956
## 8310  2011                1.433333333
## 8311  2012                1.701030928
## 8312  2013                0.612903226
## 8313  2014                0.757575758
## 8314  2015                0.538461538
## 8315  2016                0.603448276
## 8316  2017                0.586538462
## 8317  1966                0.333333333
## 8318  1967                0.242424242
## 8319  1968                0.333333333
## 8320  1969                0.400000000
## 8321  1970                        NaN
## 8322  1971                        NaN
## 8323  1972                        NaN
## 8324  1973                        NaN
## 8325  1974                        NaN
## 8326  1975                0.000000000
## 8327  1976                0.000000000
## 8328  1977                        NaN
## 8329  1978                0.000000000
## 8330  1979                0.000000000
## 8331  1980                        NaN
## 8332  1981                0.000000000
## 8333  1982                1.000000000
## 8334  1983                0.666666667
## 8335  1984                1.000000000
## 8336  1985                0.000000000
## 8337  1986                0.000000000
## 8338  1987                0.000000000
## 8339  1988                1.000000000
## 8340  1989                        NaN
## 8341  1990                0.600000000
## 8342  1991                0.000000000
## 8343  1992                0.000000000
## 8344  1993                0.333333333
## 8345  1994                0.000000000
## 8346  1995                0.000000000
## 8347  1996                0.461538462
## 8348  1997                0.333333333
## 8349  1998                0.333333333
## 8350  1999                0.333333333
## 8351  2000                0.000000000
## 8352  2001                1.000000000
## 8353  2002                0.000000000
## 8354  2003                1.000000000
## 8355  2004                0.666666667
## 8356  2005                        NaN
## 8357  2006                        NaN
## 8358  2007                1.000000000
## 8359  2008                0.000000000
## 8360  2009                0.250000000
## 8361  2010                0.500000000
## 8362  2011                1.000000000
## 8363  2012                1.000000000
## 8364  2013                1.000000000
## 8365  2014                1.000000000
## 8366  2015                1.000000000
## 8367  2016                        NaN
## 8368  2017                        NaN
## 8369  1966                0.060000000
## 8370  1967                0.111111111
## 8371  1968                0.074074074
## 8372  1969                0.500000000
## 8373  1970                0.500000000
## 8374  1971                0.250000000
## 8375  1972                0.044444444
## 8376  1973                0.250000000
## 8377  1974                0.083333333
## 8378  1975                0.142857143
## 8379  1976                0.272727273
## 8380  1977                0.272727273
## 8381  1978                0.200000000
## 8382  1979                0.068181818
## 8383  1980                0.042553191
## 8384  1981                0.413043478
## 8385  1982                0.400000000
## 8386  1983                0.602941176
## 8387  1984                0.492307692
## 8388  1985                0.385964912
## 8389  1986                0.241379310
## 8390  1987                0.250000000
## 8391  1988                0.523809524
## 8392  1989                0.405405405
## 8393  1990                0.556756757
## 8394  1991                0.243902439
## 8395  1992                0.531976744
## 8396  1993                0.244239631
## 8397  1994                0.401812689
## 8398  1995                0.235033259
## 8399  1996                0.467005076
## 8400  1997                0.476038339
## 8401  1998                0.287985866
## 8402  1999                0.311023622
## 8403  2000                0.199306759
## 8404  2001                0.413642961
## 8405  2002                0.233009709
## 8406  2003                1.066489362
## 8407  2004                0.494773519
## 8408  2005                0.611683849
## 8409  2006                0.426865672
## 8410  2007                        Inf
## 8411  2008                0.507552870
## 8412  2009                0.204903678
## 8413  2010                0.701067616
## 8414  2011                0.532038835
## 8415  2012                1.018421053
## 8416  2013                0.497890295
## 8417  2014                0.757377049
## 8418  2015                0.979768786
## 8419  2016                0.168539326
## 8420  2017                0.000000000
## 8421  1966                0.204225352
## 8422  1967                0.347826087
## 8423  1968                0.032867707
## 8424  1969                0.291044776
## 8425  1970                0.356060606
## 8426  1971                0.168067227
## 8427  1972                0.156250000
## 8428  1973                0.203007519
## 8429  1974                0.121495327
## 8430  1975                0.100169779
## 8431  1976                0.288431062
## 8432  1977                0.136546185
## 8433  1978                0.311413454
## 8434  1979                0.075020610
## 8435  1980                0.066290550
## 8436  1981                0.364327980
## 8437  1982                0.218309859
## 8438  1983                0.346368715
## 8439  1984                0.219648562
## 8440  1985                0.240982348
## 8441  1986                0.185294118
## 8442  1987                0.000000000
## 8443  1988                0.358889623
## 8444  1989                0.114583333
## 8445  1990                0.276741614
## 8446  1991                0.064234893
## 8447  1992                0.254284472
## 8448  1993                0.107196779
## 8449  1994                0.245746869
## 8450  1995                0.140363815
## 8451  1996                0.268378063
## 8452  1997                0.370789192
## 8453  1998                0.365238286
## 8454  1999                0.232896652
## 8455  2000                0.044483101
## 8456  2001                0.133514596
## 8457  2002                0.039468691
## 8458  2003                0.538368702
## 8459  2004                0.366995074
## 8460  2005                0.376139323
## 8461  2006                0.292330951
## 8462  2007                0.572857496
## 8463  2008                0.453600000
## 8464  2009                0.309188381
## 8465  2010                0.570638821
## 8466  2011                0.448171957
## 8467  2012                0.570768922
## 8468  2013                0.283902783
## 8469  2014                0.675111197
## 8470  2015                0.464027595
## 8471  2016                0.433031381
## 8472  2017                0.507915316
## 8473  1966                0.187500000
## 8474  1967                0.450000000
## 8475  1968                0.057142857
## 8476  1969                0.346153846
## 8477  1970                0.363636364
## 8478  1971                0.272727273
## 8479  1972                0.095238095
## 8480  1973                0.130434783
## 8481  1974                0.066666667
## 8482  1975                0.542857143
## 8483  1976                0.159663866
## 8484  1977                0.426229508
## 8485  1978                0.614678899
## 8486  1979                0.155737705
## 8487  1980                0.427631579
## 8488  1981                0.351515152
## 8489  1982                0.383333333
## 8490  1983                0.703056769
## 8491  1984                0.465408805
## 8492  1985                0.294444444
## 8493  1986                0.319047619
## 8494  1987                0.228346457
## 8495  1988                0.628318584
## 8496  1989                0.952789700
## 8497  1990                0.610550459
## 8498  1991                0.210554090
## 8499  1992                0.590542099
## 8500  1993                0.197223829
## 8501  1994                0.479974969
## 8502  1995                0.239789196
## 8503  1996                0.556908095
## 8504  1997                0.656016315
## 8505  1998                0.448818898
## 8506  1999                0.284510693
## 8507  2000                0.141995614
## 8508  2001                0.678186969
## 8509  2002                0.270384008
## 8510  2003                0.891079812
## 8511  2004                0.733060482
## 8512  2005                0.798524404
## 8513  2006                1.155693261
## 8514  2007                1.209553159
## 8515  2008                1.078149920
## 8516  2009                0.491735537
## 8517  2010                1.037783375
## 8518  2011                1.024595924
## 8519  2012                1.510969568
## 8520  2013                1.256569848
## 8521  2014                1.346952909
## 8522  2015                0.687432286
## 8523  2016                0.837588267
## 8524  2017                1.382222222
## 8525  1966                0.500000000
## 8526  1967                0.000000000
## 8527  1968                0.333333333
## 8528  1969                0.333333333
## 8529  1970                1.000000000
## 8530  1971                1.000000000
## 8531  1972                1.000000000
## 8532  1973                1.000000000
## 8533  1974                1.000000000
## 8534  1975                1.000000000
## 8535  1976                        NaN
## 8536  1977                        NaN
## 8537  1978                        NaN
## 8538  1979                        NaN
## 8539  1980                        NaN
## 8540  1981                        NaN
## 8541  1982                        NaN
## 8542  1983                        NaN
## 8543  1984                        NaN
## 8544  1985                        NaN
## 8545  1986                1.000000000
## 8546  1987                        NaN
## 8547  1988                        NaN
## 8548  1989                        NaN
## 8549  1990                        NaN
## 8550  1991                        NaN
## 8551  1992                        NaN
## 8552  1993                        NaN
## 8553  1994                        NaN
## 8554  1995                        NaN
## 8555  1996                        NaN
## 8556  1997                        NaN
## 8557  1998                        NaN
## 8558  1999                        NaN
## 8559  2000                        NaN
## 8560  2001                        NaN
## 8561  2002                        NaN
## 8562  2003                        NaN
## 8563  2004                        NaN
## 8564  2005                        NaN
## 8565  2006                        NaN
## 8566  2007                        NaN
## 8567  2008                        NaN
## 8568  2009                        NaN
## 8569  2010                        NaN
## 8570  2011                        NaN
## 8571  2012                        NaN
## 8572  2013                        NaN
## 8573  2014                        NaN
## 8574  2015                        NaN
## 8575  2016                        NaN
## 8576  2017                        NaN
## 8577  1966                0.000000000
## 8578  1967                0.000000000
## 8579  1968                0.500000000
## 8580  1969                        NaN
## 8581  1970                        NaN
## 8582  1971                        NaN
## 8583  1972                        NaN
## 8584  1973                        NaN
## 8585  1974                        NaN
## 8586  1975                        NaN
## 8587  1976                        NaN
## 8588  1977                        NaN
## 8589  1978                        NaN
## 8590  1979                        NaN
## 8591  1980                        NaN
## 8592  1981                        NaN
## 8593  1982                        NaN
## 8594  1983                        NaN
## 8595  1984                        NaN
## 8596  1985                        NaN
## 8597  1986                        NaN
## 8598  1987                        NaN
## 8599  1988                        NaN
## 8600  1989                        NaN
## 8601  1990                        NaN
## 8602  1991                        NaN
## 8603  1992                        NaN
## 8604  1993                        NaN
## 8605  1994                        NaN
## 8606  1995                        NaN
## 8607  1996                        NaN
## 8608  1997                        NaN
## 8609  1998                        NaN
## 8610  1999                        NaN
## 8611  2000                        NaN
## 8612  2001                        NaN
## 8613  2002                        NaN
## 8614  2003                        NaN
## 8615  2004                        NaN
## 8616  2005                0.000000000
## 8617  2006                        NaN
## 8618  2007                        NaN
## 8619  2008                        NaN
## 8620  2009                        NaN
## 8621  2010                        NaN
## 8622  2011                        NaN
## 8623  2012                        NaN
## 8624  2013                        NaN
## 8625  2014                        NaN
## 8626  2015                        NaN
## 8627  2016                        NaN
## 8628  2017                        NaN
## 8629  1966                0.000000000
## 8630  1967                        NaN
## 8631  1968                        NaN
## 8632  1969                        NaN
## 8633  1970                        NaN
## 8634  1971                        NaN
## 8635  1972                        NaN
## 8636  1973                        NaN
## 8637  1974                        NaN
## 8638  1975                        NaN
## 8639  1976                        NaN
## 8640  1977                        NaN
## 8641  1978                        NaN
## 8642  1979                        NaN
## 8643  1980                        NaN
## 8644  1981                        NaN
## 8645  1982                        NaN
## 8646  1983                        NaN
## 8647  1984                        NaN
## 8648  1985                        NaN
## 8649  1986                        NaN
## 8650  1987                        NaN
## 8651  1988                        NaN
## 8652  1989                        NaN
## 8653  1990                        NaN
## 8654  1991                        NaN
## 8655  1992                        NaN
## 8656  1993                        NaN
## 8657  1994                        NaN
## 8658  1995                        NaN
## 8659  1996                        NaN
## 8660  1997                        NaN
## 8661  1998                        NaN
## 8662  1999                        NaN
## 8663  2000                        NaN
## 8664  2001                        NaN
## 8665  2002                        NaN
## 8666  2003                        NaN
## 8667  2004                        NaN
## 8668  2005                        NaN
## 8669  2006                        NaN
## 8670  2007                        NaN
## 8671  2008                        NaN
## 8672  2009                        NaN
## 8673  2010                        NaN
## 8674  2011                        NaN
## 8675  2012                        NaN
## 8676  2013                        NaN
## 8677  2014                        NaN
## 8678  2015                        NaN
## 8679  2016                        NaN
## 8680  2017                        NaN
## 8681  1966                1.000000000
## 8682  1967                1.000000000
## 8683  1968                        Inf
## 8684  1969                        Inf
## 8685  1970                1.000000000
## 8686  1971                1.000000000
## 8687  1972                1.000000000
## 8688  1973                1.000000000
## 8689  1974                1.000000000
## 8690  1975                1.000000000
## 8691  1976                        NaN
## 8692  1977                        NaN
## 8693  1978                        NaN
## 8694  1979                        NaN
## 8695  1980                        NaN
## 8696  1981                        NaN
## 8697  1982                        NaN
## 8698  1983                        NaN
## 8699  1984                        NaN
## 8700  1985                        NaN
## 8701  1986                        NaN
## 8702  1987                        NaN
## 8703  1988                        NaN
## 8704  1989                        NaN
## 8705  1990                        NaN
## 8706  1991                        NaN
## 8707  1992                        NaN
## 8708  1993                        NaN
## 8709  1994                        NaN
## 8710  1995                        NaN
## 8711  1996                        NaN
## 8712  1997                        NaN
## 8713  1998                        NaN
## 8714  1999                        NaN
## 8715  2000                        NaN
## 8716  2001                        NaN
## 8717  2002                        NaN
## 8718  2003                        NaN
## 8719  2004                        NaN
## 8720  2005                        NaN
## 8721  2006                        NaN
## 8722  2007                        NaN
## 8723  2008                        NaN
## 8724  2009                        NaN
## 8725  2010                        NaN
## 8726  2011                        NaN
## 8727  2012                        NaN
## 8728  2013                        NaN
## 8729  2014                        NaN
## 8730  2015                        NaN
## 8731  2016                        NaN
## 8732  2017                        NaN
## 8733  1966                0.500000000
## 8734  1967                0.125000000
## 8735  1968                0.200000000
## 8736  1969                0.166666667
## 8737  1970                0.500000000
## 8738  1971                0.333333333
## 8739  1972                0.400000000
## 8740  1973                0.666666667
## 8741  1974                0.333333333
## 8742  1975                0.444444444
## 8743  1976                5.000000000
## 8744  1977                0.888888889
## 8745  1978                0.600000000
## 8746  1979                        NaN
## 8747  1980                        NaN
## 8748  1981                        NaN
## 8749  1982                        NaN
## 8750  1983                        NaN
## 8751  1984                        NaN
## 8752  1985                        NaN
## 8753  1986                        NaN
## 8754  1987                        NaN
## 8755  1988                        NaN
## 8756  1989                1.000000000
## 8757  1990                        NaN
## 8758  1991                        NaN
## 8759  1992                        NaN
## 8760  1993                        NaN
## 8761  1994                        NaN
## 8762  1995                        NaN
## 8763  1996                        NaN
## 8764  1997                        NaN
## 8765  1998                        NaN
## 8766  1999                        NaN
## 8767  2000                        NaN
## 8768  2001                        NaN
## 8769  2002                        NaN
## 8770  2003                        NaN
## 8771  2004                        NaN
## 8772  2005                        NaN
## 8773  2006                        NaN
## 8774  2007                        NaN
## 8775  2008                        NaN
## 8776  2009                        NaN
## 8777  2010                        NaN
## 8778  2011                        NaN
## 8779  2012                        NaN
## 8780  2013                        NaN
## 8781  2014                        NaN
## 8782  2015                        NaN
## 8783  2016                        NaN
## 8784  2017                        NaN
## 8785  1966                        NaN
## 8786  1967                        NaN
## 8787  1968                        NaN
## 8788  1969                        NaN
## 8789  1970                1.000000000
## 8790  1971                0.000000000
## 8791  1972                0.500000000
## 8792  1973                0.333333333
## 8793  1974                0.388888889
## 8794  1975                0.160000000
## 8795  1976                0.750000000
## 8796  1977                0.000000000
## 8797  1978                0.500000000
## 8798  1979                0.500000000
## 8799  1980                0.500000000
## 8800  1981                1.000000000
## 8801  1982                1.000000000
## 8802  1983                        NaN
## 8803  1984                1.000000000
## 8804  1985                        NaN
## 8805  1986                        NaN
## 8806  1987                        NaN
## 8807  1988                        NaN
## 8808  1989                        NaN
## 8809  1990                        NaN
## 8810  1991                        NaN
## 8811  1992                        NaN
## 8812  1993                        NaN
## 8813  1994                        NaN
## 8814  1995                0.833333333
## 8815  1996                0.000000000
## 8816  1997                1.000000000
## 8817  1998                        NaN
## 8818  1999                        NaN
## 8819  2000                        NaN
## 8820  2001                1.000000000
## 8821  2002                        NaN
## 8822  2003                        NaN
## 8823  2004                        NaN
## 8824  2005                0.000000000
## 8825  2006                        NaN
## 8826  2007                        NaN
## 8827  2008                        NaN
## 8828  2009                        NaN
## 8829  2010                        NaN
## 8830  2011                        NaN
## 8831  2012                        NaN
## 8832  2013                        NaN
## 8833  2014                        NaN
## 8834  2015                        NaN
## 8835  2016                        NaN
## 8836  2017                        NaN
## 8837  1966                1.153846154
## 8838  1967                0.500000000
## 8839  1968                0.500000000
## 8840  1969                0.642857143
## 8841  1970                0.500000000
## 8842  1971                0.666666667
## 8843  1972                0.333333333
## 8844  1973                0.500000000
## 8845  1974                1.000000000
## 8846  1975                1.000000000
## 8847  1976                1.000000000
## 8848  1977                1.000000000
## 8849  1978                1.000000000
## 8850  1979                        NaN
## 8851  1980                        NaN
## 8852  1981                0.666666667
## 8853  1982                0.500000000
## 8854  1983                        NaN
## 8855  1984                        NaN
## 8856  1985                        NaN
## 8857  1986                        NaN
## 8858  1987                        NaN
## 8859  1988                        NaN
## 8860  1989                        NaN
## 8861  1990                        NaN
## 8862  1991                        NaN
## 8863  1992                0.000000000
## 8864  1993                        NaN
## 8865  1994                        NaN
## 8866  1995                        NaN
## 8867  1996                0.000000000
## 8868  1997                        NaN
## 8869  1998                        NaN
## 8870  1999                        NaN
## 8871  2000                        NaN
## 8872  2001                        NaN
## 8873  2002                        NaN
## 8874  2003                        NaN
## 8875  2004                        NaN
## 8876  2005                        NaN
## 8877  2006                        NaN
## 8878  2007                        NaN
## 8879  2008                        NaN
## 8880  2009                        NaN
## 8881  2010                        NaN
## 8882  2011                        NaN
## 8883  2012                        NaN
## 8884  2013                        NaN
## 8885  2014                        NaN
## 8886  2015                        NaN
## 8887  2016                        NaN
## 8888  2017                        NaN
## 8889  1966                1.000000000
## 8890  1967                0.714285714
## 8891  1968                0.571428571
## 8892  1969                0.571428571
## 8893  1970                0.571428571
## 8894  1971                0.555555556
## 8895  1972                0.236842105
## 8896  1973                0.583333333
## 8897  1974                0.600000000
## 8898  1975                1.500000000
## 8899  1976                0.750000000
## 8900  1977                1.000000000
## 8901  1978                0.750000000
## 8902  1979                0.800000000
## 8903  1980                1.000000000
## 8904  1981                0.700000000
## 8905  1982                1.200000000
## 8906  1983                1.250000000
## 8907  1984                1.000000000
## 8908  1985                        NaN
## 8909  1986                        NaN
## 8910  1987                1.000000000
## 8911  1988                1.000000000
## 8912  1989                1.000000000
## 8913  1990                        NaN
## 8914  1991                        NaN
## 8915  1992                        NaN
## 8916  1993                        NaN
## 8917  1994                        NaN
## 8918  1995                0.780701754
## 8919  1996                0.000000000
## 8920  1997                1.000000000
## 8921  1998                        NaN
## 8922  1999                        NaN
## 8923  2000                        NaN
## 8924  2001                1.000000000
## 8925  2002                        NaN
## 8926  2003                        NaN
## 8927  2004                        NaN
## 8928  2005                        NaN
## 8929  2006                        NaN
## 8930  2007                        NaN
## 8931  2008                1.000000000
## 8932  2009                1.000000000
## 8933  2010                        NaN
## 8934  2011                        NaN
## 8935  2012                        NaN
## 8936  2013                        NaN
## 8937  2014                        NaN
## 8938  2015                        NaN
## 8939  2016                        NaN
## 8940  2017                        NaN
## 8941  1966                3.000000000
## 8942  1967                1.428571429
## 8943  1968                1.000000000
## 8944  1969                1.000000000
## 8945  1970                1.000000000
## 8946  1971                1.000000000
## 8947  1972                0.200000000
## 8948  1973                0.500000000
## 8949  1974                0.500000000
## 8950  1975                0.333333333
## 8951  1976                0.166666667
## 8952  1977                1.000000000
## 8953  1978                0.400000000
## 8954  1979                1.000000000
## 8955  1980                0.500000000
## 8956  1981                0.833333333
## 8957  1982                0.000000000
## 8958  1983                        NaN
## 8959  1984                1.000000000
## 8960  1985                        NaN
## 8961  1986                        NaN
## 8962  1987                        NaN
## 8963  1988                        NaN
## 8964  1989                1.000000000
## 8965  1990                0.000000000
## 8966  1991                        NaN
## 8967  1992                        NaN
## 8968  1993                1.000000000
## 8969  1994                1.000000000
## 8970  1995                0.807692308
## 8971  1996                        NaN
## 8972  1997                        NaN
## 8973  1998                        NaN
## 8974  1999                        NaN
## 8975  2000                        NaN
## 8976  2001                1.000000000
## 8977  2002                        NaN
## 8978  2003                        NaN
## 8979  2004                        NaN
## 8980  2005                        NaN
## 8981  2006                        NaN
## 8982  2007                        NaN
## 8983  2008                        NaN
## 8984  2009                        NaN
## 8985  2010                        NaN
## 8986  2011                        NaN
## 8987  2012                        NaN
## 8988  2013                        NaN
## 8989  2014                        NaN
## 8990  2015                        NaN
## 8991  2016                        NaN
## 8992  2017                        NaN
## 8993  1966                0.571428571
## 8994  1967                0.769230769
## 8995  1968                0.500000000
## 8996  1969                0.428571429
## 8997  1970                0.571428571
## 8998  1971                0.666666667
## 8999  1972                0.500000000
## 9000  1973                0.333333333
## 9001  1974                0.625000000
## 9002  1975                0.800000000
## 9003  1976                0.714285714
## 9004  1977                0.714285714
## 9005  1978                0.714285714
## 9006  1979                0.333333333
## 9007  1980                1.000000000
## 9008  1981                0.800000000
## 9009  1982                1.333333333
## 9010  1983                1.000000000
## 9011  1984                1.000000000
## 9012  1985                        NaN
## 9013  1986                1.000000000
## 9014  1987                1.000000000
## 9015  1988                1.000000000
## 9016  1989                1.000000000
## 9017  1990                        NaN
## 9018  1991                        NaN
## 9019  1992                0.000000000
## 9020  1993                        NaN
## 9021  1994                        NaN
## 9022  1995                0.000000000
## 9023  1996                0.990099010
## 9024  1997                        NaN
## 9025  1998                        NaN
## 9026  1999                        NaN
## 9027  2000                        NaN
## 9028  2001                        NaN
## 9029  2002                        NaN
## 9030  2003                        NaN
## 9031  2004                        NaN
## 9032  2005                        NaN
## 9033  2006                        NaN
## 9034  2007                        NaN
## 9035  2008                        NaN
## 9036  2009                        NaN
## 9037  2010                        NaN
## 9038  2011                        NaN
## 9039  2012                        NaN
## 9040  2013                        NaN
## 9041  2014                        NaN
## 9042  2015                        NaN
## 9043  2016                        NaN
## 9044  2017                        NaN
## 9045  1966                0.400000000
## 9046  1967                1.000000000
## 9047  1968                0.625000000
## 9048  1969                0.500000000
## 9049  1970                0.562500000
## 9050  1971                0.571428571
## 9051  1972                0.600000000
## 9052  1973                0.428571429
## 9053  1974                1.000000000
## 9054  1975                0.500000000
## 9055  1976                1.000000000
## 9056  1977                1.000000000
## 9057  1978                1.000000000
## 9058  1979                0.000000000
## 9059  1980                0.000000000
## 9060  1981                        NaN
## 9061  1982                0.500000000
## 9062  1983                0.000000000
## 9063  1984                1.000000000
## 9064  1985                        NaN
## 9065  1986                        NaN
## 9066  1987                        NaN
## 9067  1988                        NaN
## 9068  1989                        NaN
## 9069  1990                        NaN
## 9070  1991                        NaN
## 9071  1992                0.000000000
## 9072  1993                1.000000000
## 9073  1994                1.000000000
## 9074  1995                        NaN
## 9075  1996                0.000000000
## 9076  1997                        NaN
## 9077  1998                        NaN
## 9078  1999                        NaN
## 9079  2000                        NaN
## 9080  2001                        NaN
## 9081  2002                        NaN
## 9082  2003                        NaN
## 9083  2004                        NaN
## 9084  2005                0.000000000
## 9085  2006                        NaN
## 9086  2007                        NaN
## 9087  2008                        NaN
## 9088  2009                        NaN
## 9089  2010                        NaN
## 9090  2011                        NaN
## 9091  2012                        NaN
## 9092  2013                        NaN
## 9093  2014                        NaN
## 9094  2015                        NaN
## 9095  2016                        NaN
## 9096  2017                        NaN
## 9097  1966                0.181159420
## 9098  1967                0.203045685
## 9099  1968                0.178117048
## 9100  1969                0.216718266
## 9101  1970                0.270270270
## 9102  1971                0.273437500
## 9103  1972                0.157894737
## 9104  1973                0.263414634
## 9105  1974                0.224242424
## 9106  1975                0.287581699
## 9107  1976                0.366666667
## 9108  1977                0.222222222
## 9109  1978                0.149253731
## 9110  1979                0.250000000
## 9111  1980                0.315789474
## 9112  1981                0.111111111
## 9113  1982                0.106060606
## 9114  1983                0.217948718
## 9115  1984                0.257575758
## 9116  1985                0.125000000
## 9117  1986                0.132075472
## 9118  1987                0.000000000
## 9119  1988                0.145833333
## 9120  1989                0.291666667
## 9121  1990                0.834146341
## 9122  1991                0.193460490
## 9123  1992                0.365979381
## 9124  1993                0.445312500
## 9125  1994                0.366925065
## 9126  1995                0.000000000
## 9127  1996                0.200564972
## 9128  1997                0.333333333
## 9129  1998                0.200000000
## 9130  1999                0.294605809
## 9131  2000                0.000000000
## 9132  2001                0.344660194
## 9133  2002                0.129090909
## 9134  2003                0.269961977
## 9135  2004                0.212574850
## 9136  2005                0.312775330
## 9137  2006                0.334905660
## 9138  2007                0.482993197
## 9139  2008                0.500000000
## 9140  2009                0.587991718
## 9141  2010                        NaN
## 9142  2011                0.000000000
## 9143  2012                        NaN
## 9144  2013                0.500000000
## 9145  2014                0.500000000
## 9146  2015                0.500000000
## 9147  2016                        NaN
## 9148  2017                        NaN
## 9149  1966                0.159362550
## 9150  1967                0.117820324
## 9151  1968                0.087209302
## 9152  1969                0.209643606
## 9153  1970                0.213903743
## 9154  1971                0.142857143
## 9155  1972                0.293159609
## 9156  1973                0.199430199
## 9157  1974                0.365168539
## 9158  1975                0.257142857
## 9159  1976                0.229445507
## 9160  1977                0.074074074
## 9161  1978                0.235546039
## 9162  1979                0.222222222
## 9163  1980                0.473684211
## 9164  1981                0.258064516
## 9165  1982                0.185185185
## 9166  1983                0.272727273
## 9167  1984                0.275000000
## 9168  1985                0.153846154
## 9169  1986                0.250000000
## 9170  1987                0.047619048
## 9171  1988                0.239130435
## 9172  1989                0.250000000
## 9173  1990                0.482456140
## 9174  1991                0.293159609
## 9175  1992                0.465116279
## 9176  1993                0.268656716
## 9177  1994                0.254957507
## 9178  1995                0.239361702
## 9179  1996                0.272952854
## 9180  1997                0.275423729
## 9181  1998                0.162790698
## 9182  1999                0.155440415
## 9183  2000                0.184696570
## 9184  2001                0.211480363
## 9185  2002                0.207100592
## 9186  2003                0.230263158
## 9187  2004                0.274617497
## 9188  2005                0.273972603
## 9189  2006                0.343347639
## 9190  2007                0.474308300
## 9191  2008                0.504587156
## 9192  2009                0.541871921
## 9193  2010                0.537190083
## 9194  2011                0.519480519
## 9195  2012                0.519242517
## 9196  2013                0.523809524
## 9197  2014                0.500000000
## 9198  2015                0.529411765
## 9199  2016                        NaN
## 9200  2017                        NaN
## 9201  1966                0.187500000
## 9202  1967                0.305555556
## 9203  1968                0.304511278
## 9204  1969                0.304635762
## 9205  1970                0.362318841
## 9206  1971                0.254545455
## 9207  1972                0.251572327
## 9208  1973                0.289855072
## 9209  1974                0.179372197
## 9210  1975                0.269058296
## 9211  1976                0.210970464
## 9212  1977                0.165745856
## 9213  1978                0.312500000
## 9214  1979                0.222222222
## 9215  1980                0.333333333
## 9216  1981                0.333333333
## 9217  1982                0.285714286
## 9218  1983                0.400000000
## 9219  1984                0.500000000
## 9220  1985                0.727272727
## 9221  1986                0.625000000
## 9222  1987                0.526315789
## 9223  1988                0.500000000
## 9224  1989                0.312500000
## 9225  1990                0.604920405
## 9226  1991                0.209205021
## 9227  1992                0.508905852
## 9228  1993                0.310559006
## 9229  1994                1.149425287
## 9230  1995                0.000000000
## 9231  1996                0.307692308
## 9232  1997                0.383141762
## 9233  1998                0.000000000
## 9234  1999                0.434782609
## 9235  2000                0.000000000
## 9236  2001                0.000000000
## 9237  2002                0.000000000
## 9238  2003                0.000000000
## 9239  2004                0.000000000
## 9240  2005                0.000000000
## 9241  2006                0.000000000
## 9242  2007                0.000000000
## 9243  2008                0.000000000
## 9244  2009                        NaN
## 9245  2010                        NaN
## 9246  2011                        NaN
## 9247  2012                0.000000000
## 9248  2013                        NaN
## 9249  2014                        NaN
## 9250  2015                        NaN
## 9251  2016                        NaN
## 9252  2017                        NaN
## 9253  1966                0.090909091
## 9254  1967                0.172413793
## 9255  1968                0.097087379
## 9256  1969                0.198019802
## 9257  1970                0.288461538
## 9258  1971                0.298507463
## 9259  1972                0.125000000
## 9260  1973                0.202531646
## 9261  1974                0.206349206
## 9262  1975                0.275862069
## 9263  1976                0.258064516
## 9264  1977                0.163934426
## 9265  1978                0.000000000
## 9266  1979                0.250000000
## 9267  1980                0.246153846
## 9268  1981                0.228070175
## 9269  1982                0.200000000
## 9270  1983                0.250000000
## 9271  1984                0.236363636
## 9272  1985                0.173333333
## 9273  1986                0.264367816
## 9274  1987                0.000000000
## 9275  1988                0.209677419
## 9276  1989                0.276315789
## 9277  1990                0.540037244
## 9278  1991                0.302083333
## 9279  1992                0.453125000
## 9280  1993                0.513274336
## 9281  1994                0.446153846
## 9282  1995                0.000000000
## 9283  1996                0.343195266
## 9284  1997                0.476973684
## 9285  1998                0.090909091
## 9286  1999                0.469635628
## 9287  2000                0.000000000
## 9288  2001                0.125000000
## 9289  2002                0.086567164
## 9290  2003                0.398625430
## 9291  2004                0.097972973
## 9292  2005                0.479338843
## 9293  2006                0.460317460
## 9294  2007                0.779569892
## 9295  2008                0.798165138
## 9296  2009                0.481327801
## 9297  2010                1.000000000
## 9298  2011                1.115384615
## 9299  2012                0.000000000
## 9300  2013                0.800000000
## 9301  2014                0.200000000
## 9302  2015                0.500000000
## 9303  2016                        NaN
## 9304  2017                        NaN
## 9305  1966                0.777777778
## 9306  1967                0.666666667
## 9307  1968                0.555555556
## 9308  1969                0.615384615
## 9309  1970                0.000000000
## 9310  1971                0.000000000
## 9311  1972                0.000000000
## 9312  1973                0.000000000
## 9313  1974                0.000000000
## 9314  1975                0.000000000
## 9315  1976                0.000000000
## 9316  1977                0.000000000
## 9317  1978                0.000000000
## 9318  1979                        NaN
## 9319  1980                        NaN
## 9320  1981                        NaN
## 9321  1982                        NaN
## 9322  1983                        NaN
## 9323  1984                        NaN
## 9324  1985                        NaN
## 9325  1986                        NaN
## 9326  1987                        NaN
## 9327  1988                        NaN
## 9328  1989                        NaN
## 9329  1990                0.000000000
## 9330  1991                0.000000000
## 9331  1992                0.000000000
## 9332  1993                        NaN
## 9333  1994                        NaN
## 9334  1995                        NaN
## 9335  1996                        NaN
## 9336  1997                        NaN
## 9337  1998                        NaN
## 9338  1999                        NaN
## 9339  2000                        NaN
## 9340  2001                        NaN
## 9341  2002                        NaN
## 9342  2003                        NaN
## 9343  2004                        NaN
## 9344  2005                        NaN
## 9345  2006                        NaN
## 9346  2007                        NaN
## 9347  2008                0.652173913
## 9348  2009                        NaN
## 9349  2010                1.428571429
## 9350  2011                        NaN
## 9351  2012                        NaN
## 9352  2013                        NaN
## 9353  2014                        NaN
## 9354  2015                        NaN
## 9355  2016                        NaN
## 9356  2017                        NaN
## 9357  1966                0.167785235
## 9358  1967                0.215633423
## 9359  1968                0.042735043
## 9360  1969                0.217391304
## 9361  1970                0.289017341
## 9362  1971                0.318471338
## 9363  1972                0.312500000
## 9364  1973                0.325203252
## 9365  1974                0.219780220
## 9366  1975                0.212765957
## 9367  1976                0.330578512
## 9368  1977                0.384615385
## 9369  1978                0.232558140
## 9370  1979                0.333333333
## 9371  1980                0.333333333
## 9372  1981                0.333333333
## 9373  1982                0.400000000
## 9374  1983                0.333333333
## 9375  1984                0.333333333
## 9376  1985                1.000000000
## 9377  1986                0.666666667
## 9378  1987                0.666666667
## 9379  1988                0.333333333
## 9380  1989                0.000000000
## 9381  1990                1.144654088
## 9382  1991                0.000000000
## 9383  1992                0.000000000
## 9384  1993                0.000000000
## 9385  1994                0.000000000
## 9386  1995                0.000000000
## 9387  1996                0.000000000
## 9388  1997                0.000000000
## 9389  1998                        NaN
## 9390  1999                0.243902439
## 9391  2000                0.000000000
## 9392  2001                0.000000000
## 9393  2002                0.000000000
## 9394  2003                        NaN
## 9395  2004                0.000000000
## 9396  2005                        NaN
## 9397  2006                        NaN
## 9398  2007                        NaN
## 9399  2008                0.000000000
## 9400  2009                        NaN
## 9401  2010                        NaN
## 9402  2011                        NaN
## 9403  2012                0.000000000
## 9404  2013                        NaN
## 9405  2014                        NaN
## 9406  2015                0.476190476
## 9407  2016                        NaN
## 9408  2017                        NaN
## 9409  1966                0.209481808
## 9410  1967                0.202429150
## 9411  1968                0.122615804
## 9412  1969                0.276497696
## 9413  1970                0.284697509
## 9414  1971                0.249343832
## 9415  1972                0.345238095
## 9416  1973                0.350241546
## 9417  1974                0.197461213
## 9418  1975                0.160427807
## 9419  1976                0.130548303
## 9420  1977                0.101781170
## 9421  1978                0.128755365
## 9422  1979                0.196721311
## 9423  1980                0.304347826
## 9424  1981                0.283333333
## 9425  1982                0.265625000
## 9426  1983                0.000000000
## 9427  1984                0.273809524
## 9428  1985                0.163934426
## 9429  1986                0.243243243
## 9430  1987                0.016949153
## 9431  1988                0.238095238
## 9432  1989                0.241269841
## 9433  1990                0.478575650
## 9434  1991                0.295395758
## 9435  1992                0.349871426
## 9436  1993                0.259188034
## 9437  1994                0.245921634
## 9438  1995                0.139082058
## 9439  1996                0.194498007
## 9440  1997                0.207858222
## 9441  1998                0.220036241
## 9442  1999                0.195897933
## 9443  2000                0.241181791
## 9444  2001                0.216651192
## 9445  2002                0.202429150
## 9446  2003                0.265334572
## 9447  2004                0.279894262
## 9448  2005                0.290498318
## 9449  2006                0.280543727
## 9450  2007                0.448429752
## 9451  2008                0.489600899
## 9452  2009                0.478373530
## 9453  2010                0.513657562
## 9454  2011                0.495568685
## 9455  2012                0.496213110
## 9456  2013                0.554156832
## 9457  2014                0.527395253
## 9458  2015                0.529411765
## 9459  2016                        NaN
## 9460  2017                        NaN
## 9461  1966                0.000000000
## 9462  1967                0.250000000
## 9463  1968                0.000000000
## 9464  1969                0.000000000
## 9465  1970                0.333333333
## 9466  1971                0.333333333
## 9467  1972                0.250000000
## 9468  1973                0.333333333
## 9469  1974                0.500000000
## 9470  1975                0.000000000
## 9471  1976                0.200000000
## 9472  1977                0.333333333
## 9473  1978                0.000000000
## 9474  1979                0.000000000
## 9475  1980                0.000000000
## 9476  1981                0.000000000
## 9477  1982                0.375000000
## 9478  1983                0.222222222
## 9479  1984                0.875000000
## 9480  1985                0.375000000
## 9481  1986                0.375000000
## 9482  1987                0.375000000
## 9483  1988                0.714285714
## 9484  1989                        NaN
## 9485  1990                1.000000000
## 9486  1991                0.426086957
## 9487  1992                0.644230769
## 9488  1993                        NaN
## 9489  1994                        NaN
## 9490  1995                        NaN
## 9491  1996                        NaN
## 9492  1997                0.000000000
## 9493  1998                0.000000000
## 9494  1999                0.000000000
## 9495  2000                        NaN
## 9496  2001                        NaN
## 9497  2002                        NaN
## 9498  2003                        NaN
## 9499  2004                        NaN
## 9500  2005                        NaN
## 9501  2006                        NaN
## 9502  2007                        NaN
## 9503  2008                        NaN
## 9504  2009                        NaN
## 9505  2010                        NaN
## 9506  2011                        NaN
## 9507  2012                        NaN
## 9508  2013                        NaN
## 9509  2014                        NaN
## 9510  2015                0.000000000
## 9511  2016                        NaN
## 9512  2017                        NaN
## 9513  1966                0.333333333
## 9514  1967                0.333333333
## 9515  1968                0.200000000
## 9516  1969                0.166666667
## 9517  1970                0.200000000
## 9518  1971                0.428571429
## 9519  1972                0.333333333
## 9520  1973                0.500000000
## 9521  1974                0.000000000
## 9522  1975                0.000000000
## 9523  1976                0.333333333
## 9524  1977                0.000000000
## 9525  1978                0.000000000
## 9526  1979                0.000000000
## 9527  1980                0.000000000
## 9528  1981                0.000000000
## 9529  1982                0.000000000
## 9530  1983                0.000000000
## 9531  1984                1.000000000
## 9532  1985                1.000000000
## 9533  1986                0.000000000
## 9534  1987                0.000000000
## 9535  1988                        NaN
## 9536  1989                        NaN
## 9537  1990                0.750000000
## 9538  1991                1.000000000
## 9539  1992                0.000000000
## 9540  1993                        NaN
## 9541  1994                        NaN
## 9542  1995                        NaN
## 9543  1996                1.000000000
## 9544  1997                        NaN
## 9545  1998                        NaN
## 9546  1999                0.000000000
## 9547  2000                        NaN
## 9548  2001                1.000000000
## 9549  2002                        NaN
## 9550  2003                        NaN
## 9551  2004                        NaN
## 9552  2005                        NaN
## 9553  2006                        NaN
## 9554  2007                        NaN
## 9555  2008                        NaN
## 9556  2009                        NaN
## 9557  2010                        NaN
## 9558  2011                        NaN
## 9559  2012                        NaN
## 9560  2013                        NaN
## 9561  2014                        NaN
## 9562  2015                        NaN
## 9563  2016                        NaN
## 9564  2017                        NaN
## 9565  1966                0.083333333
## 9566  1967                0.065217391
## 9567  1968                0.000000000
## 9568  1969                0.240000000
## 9569  1970                0.153846154
## 9570  1971                0.384615385
## 9571  1972                0.280000000
## 9572  1973                0.269230769
## 9573  1974                0.227272727
## 9574  1975                0.263157895
## 9575  1976                0.235294118
## 9576  1977                0.333333333
## 9577  1978                0.000000000
## 9578  1979                0.173913043
## 9579  1980                0.157894737
## 9580  1981                0.052631579
## 9581  1982                0.333333333
## 9582  1983                0.190476190
## 9583  1984                0.826086957
## 9584  1985                0.416666667
## 9585  1986                0.500000000
## 9586  1987                0.454545455
## 9587  1988                0.692307692
## 9588  1989                0.461538462
## 9589  1990                0.729508197
## 9590  1991                0.435643564
## 9591  1992                0.636363636
## 9592  1993                0.772151899
## 9593  1994                1.081081081
## 9594  1995                0.666666667
## 9595  1996                0.757575758
## 9596  1997                0.787234043
## 9597  1998                0.591836735
## 9598  1999                0.757575758
## 9599  2000                0.805555556
## 9600  2001                0.843750000
## 9601  2002                0.846153846
## 9602  2003                0.859813084
## 9603  2004                0.777777778
## 9604  2005                0.785714286
## 9605  2006                0.846153846
## 9606  2007                0.666666667
## 9607  2008                        NaN
## 9608  2009                        NaN
## 9609  2010                0.000000000
## 9610  2011                1.000000000
## 9611  2012                1.104166667
## 9612  2013                1.000000000
## 9613  2014                        NaN
## 9614  2015                0.769230769
## 9615  2016                1.000000000
## 9616  2017                        NaN
## 9617  1966                0.129032258
## 9618  1967                0.198529412
## 9619  1968                0.160000000
## 9620  1969                0.272727273
## 9621  1970                0.166666667
## 9622  1971                0.381679389
## 9623  1972                0.259259259
## 9624  1973                0.266666667
## 9625  1974                0.185185185
## 9626  1975                0.277108434
## 9627  1976                0.232558140
## 9628  1977                0.176470588
## 9629  1978                0.019607843
## 9630  1979                0.169811321
## 9631  1980                0.142857143
## 9632  1981                0.042553191
## 9633  1982                0.338983051
## 9634  1983                0.204081633
## 9635  1984                0.883720930
## 9636  1985                0.244444444
## 9637  1986                0.433333333
## 9638  1987                0.382352941
## 9639  1988                0.692307692
## 9640  1989                0.517241379
## 9641  1990                0.726643599
## 9642  1991                0.435294118
## 9643  1992                0.642032333
## 9644  1993                0.758196721
## 9645  1994                1.089743590
## 9646  1995                0.681818182
## 9647  1996                0.744827586
## 9648  1997                0.786885246
## 9649  1998                0.603174603
## 9650  1999                0.756097561
## 9651  2000                0.829268293
## 9652  2001                0.866666667
## 9653  2002                0.903225806
## 9654  2003                0.891891892
## 9655  2004                0.800000000
## 9656  2005                0.857142857
## 9657  2006                0.900000000
## 9658  2007                0.571428571
## 9659  2008                        NaN
## 9660  2009                        NaN
## 9661  2010                0.800000000
## 9662  2011                0.900000000
## 9663  2012                1.200000000
## 9664  2013                0.789473684
## 9665  2014                0.700000000
## 9666  2015                0.767123288
## 9667  2016                0.750000000
## 9668  2017                1.000000000
## 9669  1966                0.216666667
## 9670  1967                0.060000000
## 9671  1968                0.309523810
## 9672  1969                0.170731707
## 9673  1970                0.292682927
## 9674  1971                0.382978723
## 9675  1972                0.446808511
## 9676  1973                0.558823529
## 9677  1974                0.464285714
## 9678  1975                0.264705882
## 9679  1976                0.120000000
## 9680  1977                0.173913043
## 9681  1978                0.176470588
## 9682  1979                0.235294118
## 9683  1980                0.227272727
## 9684  1981                0.333333333
## 9685  1982                0.272727273
## 9686  1983                0.357142857
## 9687  1984                0.884615385
## 9688  1985                0.280000000
## 9689  1986                0.416666667
## 9690  1987                0.375000000
## 9691  1988                0.700000000
## 9692  1989                0.545454545
## 9693  1990                0.533783784
## 9694  1991                0.400000000
## 9695  1992                0.610000000
## 9696  1993                0.743902439
## 9697  1994                1.000000000
## 9698  1995                0.633333333
## 9699  1996                0.529411765
## 9700  1997                1.000000000
## 9701  1998                0.000000000
## 9702  1999                0.666666667
## 9703  2000                0.750000000
## 9704  2001                0.777777778
## 9705  2002                1.000000000
## 9706  2003                1.000000000
## 9707  2004                0.600000000
## 9708  2005                1.000000000
## 9709  2006                1.000000000
## 9710  2007                0.666666667
## 9711  2008                        NaN
## 9712  2009                        NaN
## 9713  2010                        NaN
## 9714  2011                        NaN
## 9715  2012                        NaN
## 9716  2013                1.000000000
## 9717  2014                        NaN
## 9718  2015                        NaN
## 9719  2016                1.000000000
## 9720  2017                1.000000000
## 9721  1966                0.135849057
## 9722  1967                0.057971014
## 9723  1968                0.198895028
## 9724  1969                0.119170984
## 9725  1970                0.138728324
## 9726  1971                0.058441558
## 9727  1972                0.159722222
## 9728  1973                0.070866142
## 9729  1974                0.229508197
## 9730  1975                0.120689655
## 9731  1976                0.028301887
## 9732  1977                0.015151515
## 9733  1978                0.066666667
## 9734  1979                0.102040816
## 9735  1980                0.185185185
## 9736  1981                0.200000000
## 9737  1982                0.212121212
## 9738  1983                0.058823529
## 9739  1984                0.900000000
## 9740  1985                0.428571429
## 9741  1986                0.315789474
## 9742  1987                0.416666667
## 9743  1988                0.666666667
## 9744  1989                0.526315789
## 9745  1990                0.537234043
## 9746  1991                0.394736842
## 9747  1992                0.607594937
## 9748  1993                0.746376812
## 9749  1994                0.650406504
## 9750  1995                0.613861386
## 9751  1996                0.551401869
## 9752  1997                0.558441558
## 9753  1998                0.333333333
## 9754  1999                0.714285714
## 9755  2000                0.816901408
## 9756  2001                0.771739130
## 9757  2002                1.000000000
## 9758  2003                0.833333333
## 9759  2004                1.000000000
## 9760  2005                1.000000000
## 9761  2006                1.000000000
## 9762  2007                0.583333333
## 9763  2008                        NaN
## 9764  2009                        NaN
## 9765  2010                1.000000000
## 9766  2011                1.000000000
## 9767  2012                1.000000000
## 9768  2013                1.000000000
## 9769  2014                2.333333333
## 9770  2015                0.666666667
## 9771  2016                1.000000000
## 9772  2017                1.000000000
## 9773  1966                0.225225225
## 9774  1967                0.051724138
## 9775  1968                0.255102041
## 9776  1969                0.181818182
## 9777  1970                0.305555556
## 9778  1971                0.304347826
## 9779  1972                0.277777778
## 9780  1973                0.226415094
## 9781  1974                0.200000000
## 9782  1975                0.225000000
## 9783  1976                0.120000000
## 9784  1977                0.148148148
## 9785  1978                0.147058824
## 9786  1979                0.227272727
## 9787  1980                0.214285714
## 9788  1981                0.315789474
## 9789  1982                0.263157895
## 9790  1983                0.363636364
## 9791  1984                0.857142857
## 9792  1985                0.529411765
## 9793  1986                0.500000000
## 9794  1987                0.416666667
## 9795  1988                0.600000000
## 9796  1989                0.588235294
## 9797  1990                0.542056075
## 9798  1991                0.402985075
## 9799  1992                0.614583333
## 9800  1993                0.750000000
## 9801  1994                0.661764706
## 9802  1995                0.607142857
## 9803  1996                0.563829787
## 9804  1997                0.562500000
## 9805  1998                0.368000000
## 9806  1999                0.789855072
## 9807  2000                0.823076923
## 9808  2001                0.769230769
## 9809  2002                1.000000000
## 9810  2003                0.876712329
## 9811  2004                0.757575758
## 9812  2005                1.000000000
## 9813  2006                1.000000000
## 9814  2007                0.633333333
## 9815  2008                        NaN
## 9816  2009                        NaN
## 9817  2010                1.000000000
## 9818  2011                0.900000000
## 9819  2012                1.090909091
## 9820  2013                0.923076923
## 9821  2014                2.444444444
## 9822  2015                1.000000000
## 9823  2016                1.000000000
## 9824  2017                1.000000000
## 9825  1966                0.328125000
## 9826  1967                0.174603175
## 9827  1968                0.371681416
## 9828  1969                0.264150943
## 9829  1970                0.360000000
## 9830  1971                0.455882353
## 9831  1972                0.755813953
## 9832  1973                0.551724138
## 9833  1974                0.357142857
## 9834  1975                0.400000000
## 9835  1976                0.438596491
## 9836  1977                0.220338983
## 9837  1978                0.147058824
## 9838  1979                0.046511628
## 9839  1980                0.162162162
## 9840  1981                0.485714286
## 9841  1982                0.166666667
## 9842  1983                0.484848485
## 9843  1984                0.875000000
## 9844  1985                0.363636364
## 9845  1986                0.419354839
## 9846  1987                0.406250000
## 9847  1988                0.638888889
## 9848  1989                0.540540541
## 9849  1990                0.533582090
## 9850  1991                0.398373984
## 9851  1992                0.613559322
## 9852  1993                0.751196172
## 9853  1994                0.649350649
## 9854  1995                0.612565445
## 9855  1996                0.554285714
## 9856  1997                0.564885496
## 9857  1998                0.358974359
## 9858  1999                0.793478261
## 9859  2000                0.826923077
## 9860  2001                0.785714286
## 9861  2002                0.992647059
## 9862  2003                0.881818182
## 9863  2004                0.762886598
## 9864  2005                1.000000000
## 9865  2006                1.048387097
## 9866  2007                0.625000000
## 9867  2008                        NaN
## 9868  2009                        NaN
## 9869  2010                0.971428571
## 9870  2011                0.906976744
## 9871  2012                1.073529412
## 9872  2013                0.875000000
## 9873  2014                2.430939227
## 9874  2015                0.750000000
## 9875  2016                1.000000000
## 9876  2017                1.000000000
## 9877  1966                0.291666667
## 9878  1967                0.055555556
## 9879  1968                0.304347826
## 9880  1969                0.177419355
## 9881  1970                0.296875000
## 9882  1971                0.377049180
## 9883  1972                0.524590164
## 9884  1973                0.553846154
## 9885  1974                0.446428571
## 9886  1975                0.437500000
## 9887  1976                0.127272727
## 9888  1977                0.164179104
## 9889  1978                0.147058824
## 9890  1979                0.190476190
## 9891  1980                0.314285714
## 9892  1981                0.303030303
## 9893  1982                0.382352941
## 9894  1983                0.358974359
## 9895  1984                0.871794872
## 9896  1985                0.432432432
## 9897  1986                0.421052632
## 9898  1987                0.400000000
## 9899  1988                0.652173913
## 9900  1989                0.555555556
## 9901  1990                0.533333333
## 9902  1991                0.400778210
## 9903  1992                0.612698413
## 9904  1993                0.745583039
## 9905  1994                0.651376147
## 9906  1995                0.615384615
## 9907  1996                0.558823529
## 9908  1997                0.555555556
## 9909  1998                0.333333333
## 9910  1999                0.764705882
## 9911  2000                1.000000000
## 9912  2001                0.780000000
## 9913  2002                1.000000000
## 9914  2003                0.916666667
## 9915  2004                0.000000000
## 9916  2005                1.000000000
## 9917  2006                        NaN
## 9918  2007                        NaN
## 9919  2008                        NaN
## 9920  2009                        NaN
## 9921  2010                1.000000000
## 9922  2011                1.000000000
## 9923  2012                1.000000000
## 9924  2013                1.000000000
## 9925  2014                1.000000000
## 9926  2015                0.833333333
## 9927  2016                        NaN
## 9928  2017                1.000000000
## 9929  1966                0.592391304
## 9930  1967                0.673684211
## 9931  1968                0.573684211
## 9932  1969                0.612021858
## 9933  1970                0.561797753
## 9934  1971                0.292207792
## 9935  1972                0.562162162
## 9936  1973                0.468750000
## 9937  1974                0.380952381
## 9938  1975                0.961538462
## 9939  1976                0.767045455
## 9940  1977                1.000000000
## 9941  1978                0.817567568
## 9942  1979                0.279792746
## 9943  1980                1.000000000
## 9944  1981                0.848623853
## 9945  1982                0.971264368
## 9946  1983                1.231132075
## 9947  1984                1.126315789
## 9948  1985                0.870270270
## 9949  1986                0.777777778
## 9950  1987                0.736526946
## 9951  1988                1.075000000
## 9952  1989                1.255474453
## 9953  1990                0.938295788
## 9954  1991                0.926991150
## 9955  1992                0.613350126
## 9956  1993                0.801449275
## 9957  1994                0.700920245
## 9958  1995                1.105590062
## 9959  1996                0.927480916
## 9960  1997                0.908333333
## 9961  1998                0.475862069
## 9962  1999                0.624060150
## 9963  2000                0.840909091
## 9964  2001                0.758620690
## 9965  2002                0.982456140
## 9966  2003                0.878787879
## 9967  2004                0.768292683
## 9968  2005                1.034482759
## 9969  2006                1.029411765
## 9970  2007                0.650000000
## 9971  2008                        NaN
## 9972  2009                        NaN
## 9973  2010                0.923076923
## 9974  2011                0.909090909
## 9975  2012                1.166666667
## 9976  2013                0.900000000
## 9977  2014                0.666666667
## 9978  2015                0.750000000
## 9979  2016                1.000000000
## 9980  2017                1.000000000
## 9981  1966                0.325396825
## 9982  1967                0.343750000
## 9983  1968                0.338842975
## 9984  1969                0.433628319
## 9985  1970                0.627272727
## 9986  1971                0.434343434
## 9987  1972                0.402061856
## 9988  1973                0.708737864
## 9989  1974                0.360000000
## 9990  1975                0.611111111
## 9991  1976                0.542056075
## 9992  1977                0.500000000
## 9993  1978                0.578125000
## 9994  1979                0.377551020
## 9995  1980                0.692307692
## 9996  1981                0.564356436
## 9997  1982                0.519480519
## 9998  1983                0.805084746
## 9999  1984                0.934782609
## 10000 1985                0.434108527
## 10001 1986                0.622807018
## 10002 1987                0.661538462
## 10003 1988                0.952830189
## 10004 1989                1.187500000
## 10005 1990                0.886705202
## 10006 1991                0.938042131
## 10007 1992                0.826687117
## 10008 1993                0.653032440
## 10009 1994                0.716216216
## 10010 1995                0.837520938
## 10011 1996                0.746376812
## 10012 1997                1.054263566
## 10013 1998                0.475083056
## 10014 1999                0.624615385
## 10015 2000                0.840637450
## 10016 2001                0.758928571
## 10017 2002                0.981250000
## 10018 2003                0.888888889
## 10019 2004                0.770000000
## 10020 2005                1.042857143
## 10021 2006                1.028169014
## 10022 2007                0.625000000
## 10023 2008                        NaN
## 10024 2009                        NaN
## 10025 2010                0.959183673
## 10026 2011                0.826086957
## 10027 2012                1.000000000
## 10028 2013                0.866666667
## 10029 2014                1.083333333
## 10030 2015                1.000000000
## 10031 2016                1.000000000
## 10032 2017                1.000000000
## 10033 1966                0.333333333
## 10034 1967                0.508670520
## 10035 1968                0.352201258
## 10036 1969                0.430769231
## 10037 1970                0.352112676
## 10038 1971                0.346774194
## 10039 1972                0.459016393
## 10040 1973                0.352380952
## 10041 1974                0.598484848
## 10042 1975                0.528846154
## 10043 1976                0.500000000
## 10044 1977                1.029702970
## 10045 1978                0.401960784
## 10046 1979                0.335820896
## 10047 1980                0.543046358
## 10048 1981                0.770370370
## 10049 1982                0.670000000
## 10050 1983                1.219178082
## 10051 1984                1.011976048
## 10052 1985                0.829787234
## 10053 1986                0.880000000
## 10054 1987                0.862595420
## 10055 1988                0.586776860
## 10056 1989                0.761467890
## 10057 1990                0.755148741
## 10058 1991                0.863905325
## 10059 1992                1.052706553
## 10060 1993                0.755905512
## 10061 1994                1.012500000
## 10062 1995                0.943342776
## 10063 1996                0.939189189
## 10064 1997                1.077253219
## 10065 1998                0.796875000
## 10066 1999                0.839826840
## 10067 2000                0.702702703
## 10068 2001                1.042016807
## 10069 2002                0.870967742
## 10070 2003                1.235294118
## 10071 2004                1.000000000
## 10072 2005                1.051282051
## 10073 2006                1.057142857
## 10074 2007                0.631578947
## 10075 2008                        NaN
## 10076 2009                        NaN
## 10077 2010                0.250000000
## 10078 2011                0.266666667
## 10079 2012                0.533333333
## 10080 2013                0.461538462
## 10081 2014                1.106666667
## 10082 2015                2.111111111
## 10083 2016                1.000000000
## 10084 2017                1.000000000
## 10085 1966                0.188481675
## 10086 1967                0.295081967
## 10087 1968                0.215568862
## 10088 1969                0.359281437
## 10089 1970                0.385135135
## 10090 1971                0.191666667
## 10091 1972                0.301282051
## 10092 1973                0.352941176
## 10093 1974                0.346666667
## 10094 1975                0.468253968
## 10095 1976                0.300813008
## 10096 1977                0.379310345
## 10097 1978                0.183486239
## 10098 1979                0.134453782
## 10099 1980                0.396825397
## 10100 1981                0.365217391
## 10101 1982                0.463157895
## 10102 1983                0.333333333
## 10103 1984                0.556701031
## 10104 1985                0.422680412
## 10105 1986                0.604938272
## 10106 1987                0.663461538
## 10107 1988                0.950980392
## 10108 1989                1.189473684
## 10109 1990                0.886861314
## 10110 1991                0.938775510
## 10111 1992                0.827586207
## 10112 1993                0.652173913
## 10113 1994                0.717117117
## 10114 1995                0.837078652
## 10115 1996                0.747619048
## 10116 1997                1.052941176
## 10117 1998                0.475806452
## 10118 1999                0.624000000
## 10119 2000                0.843373494
## 10120 2001                0.759124088
## 10121 2002                0.978947368
## 10122 2003                0.884146341
## 10123 2004                0.769230769
## 10124 2005                1.050420168
## 10125 2006                1.031496063
## 10126 2007                0.621794872
## 10127 2008                        NaN
## 10128 2009                        NaN
## 10129 2010                0.970588235
## 10130 2011                0.912280702
## 10131 2012                1.052631579
## 10132 2013                0.896551724
## 10133 2014                0.947826087
## 10134 2015                0.771084337
## 10135 2016                0.990909091
## 10136 2017                1.009009009
## 10137 1966                0.323529412
## 10138 1967                0.913043478
## 10139 1968                0.500000000
## 10140 1969                0.392857143
## 10141 1970                0.370370370
## 10142 1971                0.521739130
## 10143 1972                0.666666667
## 10144 1973                0.370370370
## 10145 1974                0.565217391
## 10146 1975                0.545454545
## 10147 1976                0.608695652
## 10148 1977                0.809523810
## 10149 1978                0.636363636
## 10150 1979                0.333333333
## 10151 1980                0.772727273
## 10152 1981                0.684210526
## 10153 1982                0.733333333
## 10154 1983                0.842105263
## 10155 1984                0.944444444
## 10156 1985                0.375000000
## 10157 1986                0.571428571
## 10158 1987                0.700000000
## 10159 1988                0.857142857
## 10160 1989                1.222222222
## 10161 1990                0.877551020
## 10162 1991                0.949152542
## 10163 1992                0.836734694
## 10164 1993                0.659090909
## 10165 1994                0.710526316
## 10166 1995                0.833333333
## 10167 1996                0.739130435
## 10168 1997                1.055555556
## 10169 1998                0.500000000
## 10170 1999                0.750000000
## 10171 2000                1.000000000
## 10172 2001                0.666666667
## 10173 2002                        NaN
## 10174 2003                1.000000000
## 10175 2004                0.750000000
## 10176 2005                        NaN
## 10177 2006                        NaN
## 10178 2007                        NaN
## 10179 2008                        NaN
## 10180 2009                        NaN
## 10181 2010                        NaN
## 10182 2011                        NaN
## 10183 2012                        NaN
## 10184 2013                        NaN
## 10185 2014                        NaN
## 10186 2015                        NaN
## 10187 2016                        NaN
## 10188 2017                        NaN
## 10189 1966                0.550295858
## 10190 1967                0.905263158
## 10191 1968                0.502702703
## 10192 1969                0.766871166
## 10193 1970                1.122448980
## 10194 1971                0.522123894
## 10195 1972                0.649006623
## 10196 1973                0.350746269
## 10197 1974                0.591240876
## 10198 1975                0.843750000
## 10199 1976                0.929078014
## 10200 1977                1.044444444
## 10201 1978                1.060344828
## 10202 1979                0.426470588
## 10203 1980                0.945701357
## 10204 1981                1.277777778
## 10205 1982                1.000000000
## 10206 1983                0.592000000
## 10207 1984                1.221311475
## 10208 1985                0.672897196
## 10209 1986                0.913978495
## 10210 1987                0.747663551
## 10211 1988                0.802469136
## 10212 1989                0.887500000
## 10213 1990                0.755892256
## 10214 1991                0.854214123
## 10215 1992                1.050772627
## 10216 1993                0.757719715
## 10217 1994                1.011961722
## 10218 1995                0.940909091
## 10219 1996                0.936046512
## 10220 1997                1.083601286
## 10221 1998                0.797619048
## 10222 1999                0.838565022
## 10223 2000                0.704433498
## 10224 2001                1.037209302
## 10225 2002                0.887804878
## 10226 2003                1.194444444
## 10227 2004                1.000000000
## 10228 2005                1.050420168
## 10229 2006                1.057377049
## 10230 2007                0.622641509
## 10231 2008                        NaN
## 10232 2009                        NaN
## 10233 2010                0.298076923
## 10234 2011                0.254901961
## 10235 2012                0.500000000
## 10236 2013                0.533333333
## 10237 2014                1.066666667
## 10238 2015                1.909090909
## 10239 2016                0.992366412
## 10240 2017                1.000000000
## 10241 1966                0.222222222
## 10242 1967                0.833333333
## 10243 1968                0.500000000
## 10244 1969                0.333333333
## 10245 1970                0.400000000
## 10246 1971                0.533333333
## 10247 1972                0.600000000
## 10248 1973                0.333333333
## 10249 1974                0.500000000
## 10250 1975                0.500000000
## 10251 1976                0.500000000
## 10252 1977                0.333333333
## 10253 1978                        NaN
## 10254 1979                0.000000000
## 10255 1980                0.000000000
## 10256 1981                1.000000000
## 10257 1982                0.500000000
## 10258 1983                1.000000000
## 10259 1984                1.000000000
## 10260 1985                1.000000000
## 10261 1986                1.000000000
## 10262 1987                0.500000000
## 10263 1988                1.000000000
## 10264 1989                1.000000000
## 10265 1990                0.692307692
## 10266 1991                0.800000000
## 10267 1992                1.000000000
## 10268 1993                1.000000000
## 10269 1994                1.000000000
## 10270 1995                0.857142857
## 10271 1996                        NaN
## 10272 1997                1.000000000
## 10273 1998                        NaN
## 10274 1999                0.000000000
## 10275 2000                0.000000000
## 10276 2001                        NaN
## 10277 2002                1.000000000
## 10278 2003                1.000000000
## 10279 2004                        NaN
## 10280 2005                        NaN
## 10281 2006                        NaN
## 10282 2007                        NaN
## 10283 2008                        NaN
## 10284 2009                        NaN
## 10285 2010                        NaN
## 10286 2011                        NaN
## 10287 2012                        NaN
## 10288 2013                        NaN
## 10289 2014                        NaN
## 10290 2015                        Inf
## 10291 2016                        NaN
## 10292 2017                        NaN
## 10293 1966                0.359375000
## 10294 1967                0.375000000
## 10295 1968                0.416289593
## 10296 1969                0.301886792
## 10297 1970                0.666666667
## 10298 1971                0.235294118
## 10299 1972                0.679558011
## 10300 1973                0.312169312
## 10301 1974                0.143712575
## 10302 1975                0.532051282
## 10303 1976                0.362500000
## 10304 1977                0.641666667
## 10305 1978                0.445312500
## 10306 1979                0.186440678
## 10307 1980                0.659090909
## 10308 1981                0.533333333
## 10309 1982                0.459459459
## 10310 1983                0.733870968
## 10311 1984                1.056000000
## 10312 1985                0.623931624
## 10313 1986                1.250000000
## 10314 1987                0.666666667
## 10315 1988                0.795918367
## 10316 1989                1.100000000
## 10317 1990                1.014247551
## 10318 1991                0.788408464
## 10319 1992                1.284722222
## 10320 1993                1.060115607
## 10321 1994                0.840466926
## 10322 1995                1.122015915
## 10323 1996                0.881736527
## 10324 1997                1.195230999
## 10325 1998                0.883642496
## 10326 1999                1.097759674
## 10327 2000                1.113839286
## 10328 2001                0.934659091
## 10329 2002                1.089843750
## 10330 2003                0.909747292
## 10331 2004                0.800724638
## 10332 2005                1.154121864
## 10333 2006                0.913978495
## 10334 2007                0.948412698
## 10335 2008                        NaN
## 10336 2009                        NaN
## 10337 2010                1.211764706
## 10338 2011                1.251256281
## 10339 2012                1.372549020
## 10340 2013                1.393939394
## 10341 2014                0.902097902
## 10342 2015                0.798319328
## 10343 2016                1.113772455
## 10344 2017                1.529616725
## 10345 1966                0.547826087
## 10346 1967                0.330357143
## 10347 1968                0.583333333
## 10348 1969                0.483870968
## 10349 1970                0.573170732
## 10350 1971                0.325301205
## 10351 1972                0.551724138
## 10352 1973                0.546391753
## 10353 1974                0.484848485
## 10354 1975                0.611111111
## 10355 1976                0.859375000
## 10356 1977                0.578947368
## 10357 1978                0.592592593
## 10358 1979                0.250000000
## 10359 1980                0.302325581
## 10360 1981                0.627118644
## 10361 1982                0.166666667
## 10362 1983                0.307692308
## 10363 1984                0.903846154
## 10364 1985                0.627450980
## 10365 1986                1.282608696
## 10366 1987                0.666666667
## 10367 1988                0.800000000
## 10368 1989                1.107142857
## 10369 1990                1.014170040
## 10370 1991                0.787368421
## 10371 1992                1.282758621
## 10372 1993                1.061425061
## 10373 1994                0.840848806
## 10374 1995                1.119565217
## 10375 1996                0.883582090
## 10376 1997                1.191044776
## 10377 1998                0.883076923
## 10378 1999                1.096551724
## 10379 2000                1.072916667
## 10380 2001                0.769938650
## 10381 2002                1.197478992
## 10382 2003                1.253521127
## 10383 2004                1.014778325
## 10384 2005                1.308056872
## 10385 2006                1.125000000
## 10386 2007                1.155440415
## 10387 2008                        NaN
## 10388 2009                        NaN
## 10389 2010                1.209302326
## 10390 2011                1.252100840
## 10391 2012                1.379629630
## 10392 2013                1.394230769
## 10393 2014                0.904761905
## 10394 2015                0.804878049
## 10395 2016                1.112149533
## 10396 2017                1.535714286
## 10397 1966                0.558528428
## 10398 1967                0.712121212
## 10399 1968                0.605072464
## 10400 1969                0.778443114
## 10401 1970                0.886128364
## 10402 1971                0.541371158
## 10403 1972                0.650214592
## 10404 1973                0.701492537
## 10405 1974                0.515625000
## 10406 1975                0.703463203
## 10407 1976                0.770270270
## 10408 1977                0.894459103
## 10409 1978                1.148337596
## 10410 1979                0.374358974
## 10411 1980                0.685039370
## 10412 1981                0.825552826
## 10413 1982                0.481049563
## 10414 1983                0.907303371
## 10415 1984                1.259162304
## 10416 1985                0.757412399
## 10417 1986                1.248502994
## 10418 1987                1.100864553
## 10419 1988                1.202127660
## 10420 1989                1.588068182
## 10421 1990                1.332781000
## 10422 1991                1.514646054
## 10423 1992                1.653861872
## 10424 1993                1.544788274
## 10425 1994                1.180375180
## 10426 1995                1.352583587
## 10427 1996                1.144302849
## 10428 1997                1.285374554
## 10429 1998                0.895344046
## 10430 1999                1.442933923
## 10431 2000                1.254871150
## 10432 2001                0.990622069
## 10433 2002                1.218374558
## 10434 2003                1.122614041
## 10435 2004                1.070701660
## 10436 2005                1.247419133
## 10437 2006                1.169652266
## 10438 2007                1.111893294
## 10439 2008                        NaN
## 10440 2009                        NaN
## 10441 2010                1.282225781
## 10442 2011                1.375626687
## 10443 2012                1.491941673
## 10444 2013                1.407821229
## 10445 2014                0.948440748
## 10446 2015                0.857455181
## 10447 2016                1.158816660
## 10448 2017                2.085324232
## 10449 1966                0.625792812
## 10450 1967                0.630630631
## 10451 1968                0.718446602
## 10452 1969                0.783382789
## 10453 1970                0.687845304
## 10454 1971                0.396078431
## 10455 1972                0.654434251
## 10456 1973                1.140000000
## 10457 1974                0.764534884
## 10458 1975                0.674486804
## 10459 1976                0.791780822
## 10460 1977                1.152737752
## 10461 1978                0.904761905
## 10462 1979                0.198391421
## 10463 1980                0.497282609
## 10464 1981                0.668449198
## 10465 1982                0.386440678
## 10466 1983                0.772594752
## 10467 1984                0.758426966
## 10468 1985                0.641456583
## 10469 1986                0.769938650
## 10470 1987                0.796116505
## 10471 1988                1.109422492
## 10472 1989                0.912921348
## 10473 1990                0.998743719
## 10474 1991                0.972826087
## 10475 1992                1.202257336
## 10476 1993                1.547952048
## 10477 1994                1.251314060
## 10478 1995                1.048858888
## 10479 1996                0.868693402
## 10480 1997                0.768690769
## 10481 1998                0.710227273
## 10482 1999                1.005990266
## 10483 2000                1.133802817
## 10484 2001                1.051992410
## 10485 2002                1.048823017
## 10486 2003                1.069575957
## 10487 2004                2.037313433
## 10488 2005                1.639027877
## 10489 2006                1.408959538
## 10490 2007                1.668674699
## 10491 2008                        NaN
## 10492 2009                        NaN
## 10493 2010                1.449017774
## 10494 2011                1.773237998
## 10495 2012                1.583596215
## 10496 2013                1.407911001
## 10497 2014                0.615103532
## 10498 2015                0.750688705
## 10499 2016                0.796844181
## 10500 2017                1.281507656
## 10501 1966                0.417040359
## 10502 1967                0.488479263
## 10503 1968                0.452554745
## 10504 1969                0.436090226
## 10505 1970                0.587743733
## 10506 1971                0.870748299
## 10507 1972                0.597183099
## 10508 1973                0.702508961
## 10509 1974                0.532163743
## 10510 1975                0.728613569
## 10511 1976                0.772853186
## 10512 1977                0.657142857
## 10513 1978                0.642611684
## 10514 1979                0.164556962
## 10515 1980                0.774305556
## 10516 1981                1.177304965
## 10517 1982                0.338235294
## 10518 1983                0.900369004
## 10519 1984                0.606779661
## 10520 1985                0.878594249
## 10521 1986                1.111111111
## 10522 1987                0.431535270
## 10523 1988                0.827433628
## 10524 1989                0.874074074
## 10525 1990                0.861463016
## 10526 1991                0.723973825
## 10527 1992                1.307336800
## 10528 1993                1.299657534
## 10529 1994                1.036758563
## 10530 1995                1.333594056
## 10531 1996                0.916431167
## 10532 1997                1.631114675
## 10533 1998                0.656963021
## 10534 1999                0.713375796
## 10535 2000                0.661389622
## 10536 2001                1.124477861
## 10537 2002                0.940641455
## 10538 2003                1.018602541
## 10539 2004                1.546948357
## 10540 2005                1.701104101
## 10541 2006                1.486322188
## 10542 2007                1.544342508
## 10543 2008                        NaN
## 10544 2009                        NaN
## 10545 2010                1.238341969
## 10546 2011                1.455857385
## 10547 2012                1.438368056
## 10548 2013                0.960091220
## 10549 2014                0.921771913
## 10550 2015                0.740551583
## 10551 2016                0.690682037
## 10552 2017                0.760869565
## 10553 1966                0.629240711
## 10554 1967                0.400284900
## 10555 1968                0.649166667
## 10556 1969                0.493767977
## 10557 1970                0.580733945
## 10558 1971                0.294784580
## 10559 1972                0.541389153
## 10560 1973                0.815327793
## 10561 1974                0.583499006
## 10562 1975                0.444651163
## 10563 1976                0.618960802
## 10564 1977                0.594399277
## 10565 1978                0.469160768
## 10566 1979                0.176731794
## 10567 1980                0.593397046
## 10568 1981                0.946597761
## 10569 1982                0.178438662
## 10570 1983                0.729330709
## 10571 1984                0.826944140
## 10572 1985                0.591598600
## 10573 1986                0.492668622
## 10574 1987                0.865127582
## 10575 1988                0.711267606
## 10576 1989                1.030567686
## 10577 1990                0.613886792
## 10578 1991                0.517109501
## 10579 1992                0.648034284
## 10580 1993                0.730269058
## 10581 1994                0.388696255
## 10582 1995                0.754295533
## 10583 1996                0.848136646
## 10584 1997                0.643781452
## 10585 1998                0.496866097
## 10586 1999                0.431014823
## 10587 2000                0.769835597
## 10588 2001                0.719551282
## 10589 2002                0.697135061
## 10590 2003                1.129563350
## 10591 2004                0.831632653
## 10592 2005                0.499068901
## 10593 2006                1.048918156
## 10594 2007                0.411945542
## 10595 2008                        NaN
## 10596 2009                        NaN
## 10597 2010                1.279503106
## 10598 2011                1.064981949
## 10599 2012                1.878048780
## 10600 2013                0.637583893
## 10601 2014                0.872180451
## 10602 2015                0.605263158
## 10603 2016                0.952755906
## 10604 2017                0.896860987
## 10605 1966                0.412162162
## 10606 1967                0.410501193
## 10607 1968                0.502747253
## 10608 1969                0.304195804
## 10609 1970                0.464000000
## 10610 1971                0.393013100
## 10611 1972                0.641891892
## 10612 1973                0.783171521
## 10613 1974                0.539094650
## 10614 1975                0.425196850
## 10615 1976                0.556737589
## 10616 1977                0.542452830
## 10617 1978                0.731617647
## 10618 1979                0.196610169
## 10619 1980                0.503703704
## 10620 1981                0.752688172
## 10621 1982                0.594936709
## 10622 1983                0.791970803
## 10623 1984                0.747368421
## 10624 1985                0.535211268
## 10625 1986                0.609649123
## 10626 1987                0.455696203
## 10627 1988                0.882075472
## 10628 1989                1.030612245
## 10629 1990                1.055802469
## 10630 1991                0.732258065
## 10631 1992                0.813824420
## 10632 1993                0.773513514
## 10633 1994                0.407357860
## 10634 1995                0.990715456
## 10635 1996                0.828353837
## 10636 1997                0.670439414
## 10637 1998                0.796716185
## 10638 1999                0.970138383
## 10639 2000                0.976092896
## 10640 2001                1.454358270
## 10641 2002                0.801383399
## 10642 2003                1.122529644
## 10643 2004                1.289241623
## 10644 2005                1.390374332
## 10645 2006                1.676729560
## 10646 2007                0.236162362
## 10647 2008                        NaN
## 10648 2009                        NaN
## 10649 2010                1.124694377
## 10650 2011                1.136764706
## 10651 2012                1.897790055
## 10652 2013                1.261261261
## 10653 2014                0.863436123
## 10654 2015                0.646322379
## 10655 2016                0.950993377
## 10656 2017                1.883381924
## 10657 1966                0.534233365
## 10658 1967                0.480943739
## 10659 1968                0.606126915
## 10660 1969                0.506459948
## 10661 1970                0.744069913
## 10662 1971                0.448492462
## 10663 1972                0.684269663
## 10664 1973                0.686890574
## 10665 1974                0.534065934
## 10666 1975                0.659751037
## 10667 1976                0.569755059
## 10668 1977                0.655209452
## 10669 1978                0.690302398
## 10670 1979                0.068678460
## 10671 1980                0.518847007
## 10672 1981                0.830752212
## 10673 1982                0.347383721
## 10674 1983                0.719075145
## 10675 1984                0.556592765
## 10676 1985                0.504624872
## 10677 1986                0.482932996
## 10678 1987                0.709794438
## 10679 1988                0.918552036
## 10680 1989                0.945606695
## 10681 1990                0.814346612
## 10682 1991                0.758278146
## 10683 1992                0.753639418
## 10684 1993                0.888773569
## 10685 1994                0.625697211
## 10686 1995                0.725727747
## 10687 1996                0.738233288
## 10688 1997                0.903698279
## 10689 1998                0.600388916
## 10690 1999                0.838908451
## 10691 2000                0.805293854
## 10692 2001                1.009011145
## 10693 2002                0.839295248
## 10694 2003                0.915127426
## 10695 2004                0.820317670
## 10696 2005                0.577786530
## 10697 2006                0.603130435
## 10698 2007                0.199084668
## 10699 2008                        NaN
## 10700 2009                        NaN
## 10701 2010                0.756001574
## 10702 2011                0.926905830
## 10703 2012                1.261149425
## 10704 2013                1.019361591
## 10705 2014                0.796910755
## 10706 2015                0.069888961
## 10707 2016                0.728456914
## 10708 2017                0.871396896
## 10709 1966                0.368055556
## 10710 1967                0.610975610
## 10711 1968                0.396014944
## 10712 1969                0.441041348
## 10713 1970                0.613180516
## 10714 1971                0.500000000
## 10715 1972                0.727882038
## 10716 1973                0.649499285
## 10717 1974                0.344163658
## 10718 1975                0.557831325
## 10719 1976                0.535805627
## 10720 1977                0.780821918
## 10721 1978                0.593516209
## 10722 1979                0.023468057
## 10723 1980                0.505479452
## 10724 1981                0.947780679
## 10725 1982                0.530944625
## 10726 1983                0.975324675
## 10727 1984                0.587500000
## 10728 1985                0.813283208
## 10729 1986                0.682255846
## 10730 1987                0.789312977
## 10731 1988                0.604166667
## 10732 1989                0.767926988
## 10733 1990                0.865902426
## 10734 1991                0.568691398
## 10735 1992                0.750032821
## 10736 1993                0.857389056
## 10737 1994                0.973619720
## 10738 1995                0.729374743
## 10739 1996                0.782806679
## 10740 1997                0.537290503
## 10741 1998                0.746697389
## 10742 1999                0.797639860
## 10743 2000                0.846232626
## 10744 2001                0.695132222
## 10745 2002                0.645740858
## 10746 2003                0.946438136
## 10747 2004                0.962326504
## 10748 2005                1.011704120
## 10749 2006                0.692377086
## 10750 2007                0.509378293
## 10751 2008                        NaN
## 10752 2009                        NaN
## 10753 2010                0.925115692
## 10754 2011                1.131113181
## 10755 2012                1.352188082
## 10756 2013                1.068150591
## 10757 2014                1.044302034
## 10758 2015                0.282929711
## 10759 2016                1.011690437
## 10760 2017                1.273938796
## 10761 1966                0.737704918
## 10762 1967                0.723076923
## 10763 1968                0.661764706
## 10764 1969                0.810344828
## 10765 1970                0.964912281
## 10766 1971                0.813953488
## 10767 1972                0.706896552
## 10768 1973                0.923076923
## 10769 1974                0.750000000
## 10770 1975                1.019230769
## 10771 1976                0.968750000
## 10772 1977                1.200000000
## 10773 1978                0.851851852
## 10774 1979                0.254901961
## 10775 1980                0.647058824
## 10776 1981                1.440000000
## 10777 1982                1.063829787
## 10778 1983                0.976744186
## 10779 1984                1.054545455
## 10780 1985                1.339285714
## 10781 1986                1.106382979
## 10782 1987                0.875000000
## 10783 1988                1.056179775
## 10784 1989                1.354838710
## 10785 1990                1.082533589
## 10786 1991                0.638036810
## 10787 1992                1.096363636
## 10788 1993                1.107309487
## 10789 1994                1.001984127
## 10790 1995                0.789789790
## 10791 1996                0.540765391
## 10792 1997                0.891379310
## 10793 1998                1.100358423
## 10794 1999                0.894837476
## 10795 2000                1.270270270
## 10796 2001                0.991416309
## 10797 2002                0.864224138
## 10798 2003                0.968137255
## 10799 2004                0.883817427
## 10800 2005                1.386666667
## 10801 2006                1.239373602
## 10802 2007                1.190582960
## 10803 2008                        NaN
## 10804 2009                        NaN
## 10805 2010                1.091111111
## 10806 2011                1.200892857
## 10807 2012                1.259009009
## 10808 2013                0.882022472
## 10809 2014                1.081180812
## 10810 2015                0.915611814
## 10811 2016                0.922352941
## 10812 2017                1.110874200
## 10813 1966                0.250000000
## 10814 1967                0.727272727
## 10815 1968                0.217391304
## 10816 1969                0.808988764
## 10817 1970                0.750000000
## 10818 1971                0.409090909
## 10819 1972                0.704225352
## 10820 1973                0.937500000
## 10821 1974                0.753086420
## 10822 1975                1.023809524
## 10823 1976                0.849056604
## 10824 1977                1.188235294
## 10825 1978                0.848484848
## 10826 1979                0.250000000
## 10827 1980                0.655737705
## 10828 1981                1.455696203
## 10829 1982                1.072463768
## 10830 1983                0.983333333
## 10831 1984                1.053763441
## 10832 1985                1.301075269
## 10833 1986                1.092105263
## 10834 1987                0.868131868
## 10835 1988                1.051948052
## 10836 1989                1.360000000
## 10837 1990                1.084745763
## 10838 1991                0.639804640
## 10839 1992                1.096009975
## 10840 1993                1.107246377
## 10841 1994                1.002673797
## 10842 1995                0.789002558
## 10843 1996                0.540983607
## 10844 1997                0.710700132
## 10845 1998                2.013440860
## 10846 1999                0.957031250
## 10847 2000                1.314285714
## 10848 2001                1.080188679
## 10849 2002                0.859939759
## 10850 2003                1.078832117
## 10851 2004                0.628787879
## 10852 2005                1.166666667
## 10853 2006                1.061889251
## 10854 2007                1.073455760
## 10855 2008                        NaN
## 10856 2009                        NaN
## 10857 2010                0.882644628
## 10858 2011                1.346215781
## 10859 2012                1.166666667
## 10860 2013                1.279629630
## 10861 2014                1.095238095
## 10862 2015                1.037037037
## 10863 2016                1.241274659
## 10864 2017                1.338551859
## 10865 1966                0.661538462
## 10866 1967                0.718750000
## 10867 1968                0.671875000
## 10868 1969                0.809523810
## 10869 1970                0.968750000
## 10870 1971                0.107142857
## 10871 1972                0.704918033
## 10872 1973                0.929824561
## 10873 1974                0.762711864
## 10874 1975                1.018181818
## 10875 1976                0.831168831
## 10876 1977                1.196721311
## 10877 1978                0.857142857
## 10878 1979                0.246153846
## 10879 1980                0.647058824
## 10880 1981                1.460000000
## 10881 1982                1.056603774
## 10882 1983                0.957446809
## 10883 1984                1.056603774
## 10884 1985                1.433962264
## 10885 1986                1.142857143
## 10886 1987                0.882352941
## 10887 1988                1.040816327
## 10888 1989                1.375000000
## 10889 1990                1.083700441
## 10890 1991                0.638115632
## 10891 1992                1.096280088
## 10892 1993                1.106930693
## 10893 1994                1.001855288
## 10894 1995                1.050808314
## 10895 1996                0.841491841
## 10896 1997                0.969879518
## 10897 1998                0.686440678
## 10898 1999                0.873118280
## 10899 2000                1.425000000
## 10900 2001                0.971800434
## 10901 2002                1.096938776
## 10902 2003                1.088471850
## 10903 2004                1.275409836
## 10904 2005                1.458204334
## 10905 2006                1.318042813
## 10906 2007                1.337386018
## 10907 2008                        NaN
## 10908 2009                        NaN
## 10909 2010                1.227129338
## 10910 2011                1.234177215
## 10911 2012                1.361370717
## 10912 2013                0.807980050
## 10913 2014                1.467289720
## 10914 2015                0.663157895
## 10915 2016                1.190883191
## 10916 2017                1.415540541
## 10917 1966                0.813559322
## 10918 1967                0.728571429
## 10919 1968                0.657534247
## 10920 1969                0.812500000
## 10921 1970                0.968253968
## 10922 1971                0.102564103
## 10923 1972                0.700000000
## 10924 1973                0.936170213
## 10925 1974                0.750000000
## 10926 1975                0.964285714
## 10927 1976                1.196428571
## 10928 1977                1.000000000
## 10929 1978                0.836734694
## 10930 1979                0.250000000
## 10931 1980                0.660000000
## 10932 1981                1.451612903
## 10933 1982                1.062500000
## 10934 1983                0.967213115
## 10935 1984                1.057692308
## 10936 1985                1.433962264
## 10937 1986                1.125000000
## 10938 1987                0.870370370
## 10939 1988                1.058823529
## 10940 1989                1.358490566
## 10941 1990                1.084592145
## 10942 1991                0.640756303
## 10943 1992                1.096153846
## 10944 1993                1.108061750
## 10945 1994                1.000000000
## 10946 1995                0.787878788
## 10947 1996                0.542635659
## 10948 1997                0.970270270
## 10949 1998                0.686684073
## 10950 1999                0.872340426
## 10951 2000                1.882666667
## 10952 2001                1.081395349
## 10953 2002                1.121621622
## 10954 2003                0.839887640
## 10955 2004                1.212962963
## 10956 2005                1.691558442
## 10957 2006                1.440251572
## 10958 2007                1.622149837
## 10959 2008                        NaN
## 10960 2009                        NaN
## 10961 2010                1.228013029
## 10962 2011                1.234265734
## 10963 2012                1.819383260
## 10964 2013                0.787769784
## 10965 2014                1.571917808
## 10966 2015                1.838709677
## 10967 2016                0.726618705
## 10968 2017                1.918215613
## 10969 1966                0.593750000
## 10970 1967                0.724137931
## 10971 1968                0.678571429
## 10972 1969                0.809523810
## 10973 1970                0.952380952
## 10974 1971                0.125000000
## 10975 1972                0.692307692
## 10976 1973                0.952380952
## 10977 1974                0.727272727
## 10978 1975                1.000000000
## 10979 1976                0.826086957
## 10980 1977                1.190476190
## 10981 1978                0.850000000
## 10982 1979                0.260869565
## 10983 1980                0.666666667
## 10984 1981                1.468750000
## 10985 1982                1.058823529
## 10986 1983                0.965517241
## 10987 1984                1.051282051
## 10988 1985                1.394736842
## 10989 1986                1.116279070
## 10990 1987                0.866666667
## 10991 1988                1.075000000
## 10992 1989                1.400000000
## 10993 1990                1.084592145
## 10994 1991                1.369774920
## 10995 1992                1.097178683
## 10996 1993                1.106628242
## 10997 1994                1.000000000
## 10998 1995                1.050000000
## 10999 1996                0.840659341
## 11000 1997                0.577639752
## 11001 1998                0.622857143
## 11002 1999                1.196261682
## 11003 2000                1.218045113
## 11004 2001                1.062111801
## 11005 2002                1.106508876
## 11006 2003                1.128205128
## 11007 2004                1.136363636
## 11008 2005                1.232258065
## 11009 2006                1.189189189
## 11010 2007                0.862745098
## 11011 2008                        NaN
## 11012 2009                        NaN
## 11013 2010                1.188679245
## 11014 2011                1.226666667
## 11015 2012                1.434523810
## 11016 2013                1.142857143
## 11017 2014                1.104166667
## 11018 2015                0.797619048
## 11019 2016                1.168750000
## 11020 2017                1.335227273
## 11021 1966                1.000000000
## 11022 1967                1.000000000
## 11023 1968                1.000000000
## 11024 1969                1.000000000
## 11025 1970                1.000000000
## 11026 1971                        NaN
## 11027 1972                0.000000000
## 11028 1973                1.000000000
## 11029 1974                0.000000000
## 11030 1975                1.000000000
## 11031 1976                1.000000000
## 11032 1977                1.000000000
## 11033 1978                1.000000000
## 11034 1979                0.000000000
## 11035 1980                0.500000000
## 11036 1981                1.000000000
## 11037 1982                1.000000000
## 11038 1983                1.000000000
## 11039 1984                0.000000000
## 11040 1985                1.000000000
## 11041 1986                1.000000000
## 11042 1987                1.000000000
## 11043 1988                1.000000000
## 11044 1989                2.000000000
## 11045 1990                1.166666667
## 11046 1991                0.909090909
## 11047 1992                1.142857143
## 11048 1993                1.181818182
## 11049 1994                1.111111111
## 11050 1995                1.346153846
## 11051 1996                1.250000000
## 11052 1997                1.000000000
## 11053 1998                1.000000000
## 11054 1999                1.333333333
## 11055 2000                1.250000000
## 11056 2001                1.500000000
## 11057 2002                1.384615385
## 11058 2003                1.333333333
## 11059 2004                1.333333333
## 11060 2005                1.000000000
## 11061 2006                1.000000000
## 11062 2007                0.666666667
## 11063 2008                        NaN
## 11064 2009                        NaN
## 11065 2010                        NaN
## 11066 2011                        NaN
## 11067 2012                        NaN
## 11068 2013                        NaN
## 11069 2014                        NaN
## 11070 2015                        NaN
## 11071 2016                        NaN
## 11072 2017                        NaN
## 11073 1966                0.571428571
## 11074 1967                0.833333333
## 11075 1968                0.571428571
## 11076 1969                0.777777778
## 11077 1970                1.000000000
## 11078 1971                0.250000000
## 11079 1972                0.800000000
## 11080 1973                1.000000000
## 11081 1974                0.714285714
## 11082 1975                1.000000000
## 11083 1976                1.000000000
## 11084 1977                1.200000000
## 11085 1978                0.777777778
## 11086 1979                0.222222222
## 11087 1980                0.666666667
## 11088 1981                1.500000000
## 11089 1982                1.100000000
## 11090 1983                0.923076923
## 11091 1984                0.875000000
## 11092 1985                0.833333333
## 11093 1986                1.000000000
## 11094 1987                0.875000000
## 11095 1988                1.000000000
## 11096 1989                1.333333333
## 11097 1990                1.180000000
## 11098 1991                0.937500000
## 11099 1992                1.185185185
## 11100 1993                1.230769231
## 11101 1994                1.136363636
## 11102 1995                1.333333333
## 11103 1996                1.270270270
## 11104 1997                1.000000000
## 11105 1998                0.761904762
## 11106 1999                1.312500000
## 11107 2000                1.363636364
## 11108 2001                1.363636364
## 11109 2002                1.222222222
## 11110 2003                1.454545455
## 11111 2004                1.375000000
## 11112 2005                1.125000000
## 11113 2006                1.200000000
## 11114 2007                0.666666667
## 11115 2008                        NaN
## 11116 2009                        NaN
## 11117 2010                1.166666667
## 11118 2011                1.000000000
## 11119 2012                1.250000000
## 11120 2013                1.428571429
## 11121 2014                1.250000000
## 11122 2015                0.750000000
## 11123 2016                1.166666667
## 11124 2017                1.750000000
## 11125 1966                        NaN
## 11126 1967                        NaN
## 11127 1968                        NaN
## 11128 1969                        NaN
## 11129 1970                        NaN
## 11130 1971                        NaN
## 11131 1972                        NaN
## 11132 1973                        NaN
## 11133 1974                        NaN
## 11134 1975                        NaN
## 11135 1976                        NaN
## 11136 1977                        NaN
## 11137 1978                        NaN
## 11138 1979                        NaN
## 11139 1980                        NaN
## 11140 1981                        NaN
## 11141 1982                        NaN
## 11142 1983                1.000000000
## 11143 1984                1.000000000
## 11144 1985                1.000000000
## 11145 1986                1.000000000
## 11146 1987                1.000000000
## 11147 1988                1.000000000
## 11148 1989                1.000000000
## 11149 1990                1.250000000
## 11150 1991                1.000000000
## 11151 1992                1.166666667
## 11152 1993                1.200000000
## 11153 1994                1.000000000
## 11154 1995                1.250000000
## 11155 1996                1.000000000
## 11156 1997                        NaN
## 11157 1998                0.500000000
## 11158 1999                1.000000000
## 11159 2000                1.666666667
## 11160 2001                1.000000000
## 11161 2002                1.125000000
## 11162 2003                1.230769231
## 11163 2004                1.448979592
## 11164 2005                1.000000000
## 11165 2006                1.500000000
## 11166 2007                0.500000000
## 11167 2008                        NaN
## 11168 2009                        NaN
## 11169 2010                        NaN
## 11170 2011                        NaN
## 11171 2012                        NaN
## 11172 2013                        NaN
## 11173 2014                        NaN
## 11174 2015                        NaN
## 11175 2016                        NaN
## 11176 2017                        NaN
## 11177 1966                0.500000000
## 11178 1967                0.750000000
## 11179 1968                0.500000000
## 11180 1969                0.666666667
## 11181 1970                0.666666667
## 11182 1971                0.333333333
## 11183 1972                0.666666667
## 11184 1973                1.000000000
## 11185 1974                0.666666667
## 11186 1975                1.000000000
## 11187 1976                1.000000000
## 11188 1977                1.000000000
## 11189 1978                1.000000000
## 11190 1979                0.500000000
## 11191 1980                0.500000000
## 11192 1981                1.500000000
## 11193 1982                1.000000000
## 11194 1983                1.000000000
## 11195 1984                0.666666667
## 11196 1985                1.000000000
## 11197 1986                1.000000000
## 11198 1987                1.000000000
## 11199 1988                1.000000000
## 11200 1989                1.000000000
## 11201 1990                1.142857143
## 11202 1991                0.909090909
## 11203 1992                1.181818182
## 11204 1993                1.214285714
## 11205 1994                1.187500000
## 11206 1995                1.000000000
## 11207 1996                0.750000000
## 11208 1997                0.666666667
## 11209 1998                0.636363636
## 11210 1999                1.285714286
## 11211 2000                1.181818182
## 11212 2001                1.000000000
## 11213 2002                1.142857143
## 11214 2003                1.111111111
## 11215 2004                1.142857143
## 11216 2005                1.000000000
## 11217 2006                1.000000000
## 11218 2007                1.000000000
## 11219 2008                        NaN
## 11220 2009                        NaN
## 11221 2010                1.333333333
## 11222 2011                1.500000000
## 11223 2012                1.500000000
## 11224 2013                1.500000000
## 11225 2014                1.000000000
## 11226 2015                        NaN
## 11227 2016                1.000000000
## 11228 2017                1.333333333
## 11229 1966                1.128440367
## 11230 1967                0.733944954
## 11231 1968                1.160377358
## 11232 1969                1.561904762
## 11233 1970                1.104166667
## 11234 1971                0.322033898
## 11235 1972                1.044444444
## 11236 1973                0.466666667
## 11237 1974                0.882352941
## 11238 1975                1.040000000
## 11239 1976                0.648351648
## 11240 1977                1.027397260
## 11241 1978                1.630952381
## 11242 1979                0.305263158
## 11243 1980                0.596491228
## 11244 1981                1.289156627
## 11245 1982                0.631578947
## 11246 1983                0.789473684
## 11247 1984                1.010309278
## 11248 1985                0.522727273
## 11249 1986                1.352112676
## 11250 1987                0.775000000
## 11251 1988                0.712500000
## 11252 1989                1.493506494
## 11253 1990                1.170454545
## 11254 1991                0.486571880
## 11255 1992                0.882812500
## 11256 1993                0.535455861
## 11257 1994                0.582132565
## 11258 1995                0.879076087
## 11259 1996                0.788461538
## 11260 1997                1.114155251
## 11261 1998                0.496632997
## 11262 1999                0.621890547
## 11263 2000                0.588129496
## 11264 2001                0.790055249
## 11265 2002                1.082926829
## 11266 2003                0.784482759
## 11267 2004                0.867256637
## 11268 2005                1.058823529
## 11269 2006                1.002570694
## 11270 2007                0.678100264
## 11271 2008                        NaN
## 11272 2009                        NaN
## 11273 2010                0.798449612
## 11274 2011                0.778723404
## 11275 2012                1.215859031
## 11276 2013                1.076190476
## 11277 2014                0.919540230
## 11278 2015                1.432926829
## 11279 2016                1.247422680
## 11280 2017                1.014285714
## 11281 1966                0.532000000
## 11282 1967                0.589843750
## 11283 1968                0.607305936
## 11284 1969                0.917355372
## 11285 1970                0.758620690
## 11286 1971                0.754491018
## 11287 1972                1.083743842
## 11288 1973                1.016129032
## 11289 1974                1.023364486
## 11290 1975                1.683486239
## 11291 1976                1.201581028
## 11292 1977                1.389121339
## 11293 1978                1.091743119
## 11294 1979                0.443850267
## 11295 1980                0.385964912
## 11296 1981                0.979057592
## 11297 1982                0.883040936
## 11298 1983                0.661290323
## 11299 1984                1.044943820
## 11300 1985                0.491124260
## 11301 1986                0.931428571
## 11302 1987                0.671532847
## 11303 1988                0.744966443
## 11304 1989                1.100000000
## 11305 1990                1.237998648
## 11306 1991                0.717968158
## 11307 1992                1.018309859
## 11308 1993                0.931245225
## 11309 1994                1.032710280
## 11310 1995                0.895230649
## 11311 1996                0.640816327
## 11312 1997                0.829555757
## 11313 1998                0.789162562
## 11314 1999                0.923913043
## 11315 2000                1.144654088
## 11316 2001                1.160602258
## 11317 2002                1.056145675
## 11318 2003                0.977806789
## 11319 2004                1.052202284
## 11320 2005                1.190851735
## 11321 2006                1.095486111
## 11322 2007                1.170818505
## 11323 2008                        NaN
## 11324 2009                        NaN
## 11325 2010                0.881235154
## 11326 2011                0.820051414
## 11327 2012                1.391184573
## 11328 2013                0.702631579
## 11329 2014                0.496710526
## 11330 2015                0.495677233
## 11331 2016                1.246710526
## 11332 2017                0.985163205
## 11333 1966                0.782456140
## 11334 1967                0.643109541
## 11335 1968                0.790780142
## 11336 1969                1.275261324
## 11337 1970                0.805653710
## 11338 1971                0.487179487
## 11339 1972                1.477192982
## 11340 1973                0.835877863
## 11341 1974                1.044776119
## 11342 1975                0.929368030
## 11343 1976                1.339622642
## 11344 1977                1.327800830
## 11345 1978                1.638132296
## 11346 1979                0.324894515
## 11347 1980                0.514563107
## 11348 1981                1.193548387
## 11349 1982                0.802083333
## 11350 1983                1.252380952
## 11351 1984                0.958115183
## 11352 1985                0.562500000
## 11353 1986                0.738636364
## 11354 1987                0.579881657
## 11355 1988                0.764705882
## 11356 1989                1.145945946
## 11357 1990                0.943538999
## 11358 1991                0.816009558
## 11359 1992                1.056670602
## 11360 1993                0.742738589
## 11361 1994                1.084246971
## 11362 1995                0.984365604
## 11363 1996                1.462345679
## 11364 1997                0.956180510
## 11365 1998                0.714923469
## 11366 1999                0.971166448
## 11367 2000                0.747035573
## 11368 2001                1.048762737
## 11369 2002                0.964973730
## 11370 2003                0.853470437
## 11371 2004                0.802694899
## 11372 2005                0.895904437
## 11373 2006                0.837934105
## 11374 2007                0.856134157
## 11375 2008                        NaN
## 11376 2009                        NaN
## 11377 2010                0.839002268
## 11378 2011                0.839578454
## 11379 2012                0.979407979
## 11380 2013                0.797139142
## 11381 2014                0.750000000
## 11382 2015                0.701517707
## 11383 2016                0.759842520
## 11384 2017                0.738461538
## 11385 1966                0.579710145
## 11386 1967                0.861538462
## 11387 1968                0.615384615
## 11388 1969                0.919354839
## 11389 1970                1.000000000
## 11390 1971                0.461538462
## 11391 1972                1.289473684
## 11392 1973                0.579710145
## 11393 1974                0.739726027
## 11394 1975                0.576271186
## 11395 1976                0.890109890
## 11396 1977                1.202898551
## 11397 1978                0.835051546
## 11398 1979                0.315789474
## 11399 1980                1.052083333
## 11400 1981                0.741379310
## 11401 1982                0.901098901
## 11402 1983                1.055555556
## 11403 1984                1.015748031
## 11404 1985                0.569230769
## 11405 1986                1.344827586
## 11406 1987                0.671428571
## 11407 1988                0.857142857
## 11408 1989                1.704225352
## 11409 1990                1.230477635
## 11410 1991                0.681326604
## 11411 1992                0.701692525
## 11412 1993                0.950435365
## 11413 1994                0.970159611
## 11414 1995                1.280590717
## 11415 1996                0.989391796
## 11416 1997                0.693146417
## 11417 1998                0.398703404
## 11418 1999                1.129464286
## 11419 2000                1.233583490
## 11420 2001                0.924225029
## 11421 2002                0.825899281
## 11422 2003                0.994100295
## 11423 2004                1.013698630
## 11424 2005                0.970724191
## 11425 2006                0.962711864
## 11426 2007                0.895204263
## 11427 2008                        NaN
## 11428 2009                        NaN
## 11429 2010                1.160751566
## 11430 2011                0.882488479
## 11431 2012                1.405714286
## 11432 2013                0.916864608
## 11433 2014                1.096273292
## 11434 2015                1.139175258
## 11435 2016                1.243619490
## 11436 2017                1.011560694
## 11437 1966                0.712903226
## 11438 1967                0.748201439
## 11439 1968                0.843511450
## 11440 1969                0.887029289
## 11441 1970                1.081712062
## 11442 1971                1.163366337
## 11443 1972                1.419607843
## 11444 1973                0.524000000
## 11445 1974                1.178571429
## 11446 1975                0.571428571
## 11447 1976                0.569037657
## 11448 1977                0.969849246
## 11449 1978                0.932773109
## 11450 1979                0.326086957
## 11451 1980                0.565934066
## 11452 1981                1.166666667
## 11453 1982                0.787234043
## 11454 1983                0.681159420
## 11455 1984                0.968750000
## 11456 1985                0.381974249
## 11457 1986                1.101941748
## 11458 1987                0.649606299
## 11459 1988                1.603864734
## 11460 1989                1.472222222
## 11461 1990                1.133272478
## 11462 1991                1.428440367
## 11463 1992                1.369612538
## 11464 1993                0.886883803
## 11465 1994                1.407988588
## 11466 1995                0.877637131
## 11467 1996                0.789192081
## 11468 1997                1.114395183
## 11469 1998                0.639579878
## 11470 1999                0.993830623
## 11471 2000                0.899234694
## 11472 2001                1.017035775
## 11473 2002                1.394396552
## 11474 2003                0.967741935
## 11475 2004                1.003968254
## 11476 2005                1.092134831
## 11477 2006                1.074309979
## 11478 2007                0.924571429
## 11479 2008                        NaN
## 11480 2009                        NaN
## 11481 2010                1.113636364
## 11482 2011                1.210526316
## 11483 2012                1.213592233
## 11484 2013                1.079207921
## 11485 2014                0.970401691
## 11486 2015                1.407465008
## 11487 2016                1.363957597
## 11488 2017                1.559006211
## 11489 1966                0.493150685
## 11490 1967                0.875000000
## 11491 1968                0.600000000
## 11492 1969                0.909090909
## 11493 1970                1.019230769
## 11494 1971                0.456521739
## 11495 1972                1.283018868
## 11496 1973                0.584905660
## 11497 1974                0.754716981
## 11498 1975                0.651162791
## 11499 1976                0.600000000
## 11500 1977                0.585714286
## 11501 1978                1.238095238
## 11502 1979                0.309090909
## 11503 1980                0.562500000
## 11504 1981                1.085106383
## 11505 1982                0.809523810
## 11506 1983                0.897435897
## 11507 1984                1.024390244
## 11508 1985                0.490566038
## 11509 1986                1.241379310
## 11510 1987                0.404761905
## 11511 1988                0.684210526
## 11512 1989                1.406250000
## 11513 1990                1.168582375
## 11514 1991                0.931707317
## 11515 1992                1.110497238
## 11516 1993                0.888198758
## 11517 1994                1.102189781
## 11518 1995                0.876923077
## 11519 1996                0.785714286
## 11520 1997                1.115384615
## 11521 1998                0.687500000
## 11522 1999                1.052631579
## 11523 2000                0.886792453
## 11524 2001                0.968750000
## 11525 2002                0.962962963
## 11526 2003                0.968750000
## 11527 2004                0.920000000
## 11528 2005                1.047619048
## 11529 2006                0.947368421
## 11530 2007                1.058823529
## 11531 2008                        NaN
## 11532 2009                        NaN
## 11533 2010                0.789473684
## 11534 2011                0.777777778
## 11535 2012                1.176470588
## 11536 2013                1.074074074
## 11537 2014                0.750000000
## 11538 2015                0.500000000
## 11539 2016                1.263157895
## 11540 2017                1.000000000
## 11541 1966                1.055555556
## 11542 1967                0.830188679
## 11543 1968                0.861538462
## 11544 1969                1.066666667
## 11545 1970                0.693548387
## 11546 1971                0.508474576
## 11547 1972                0.814814815
## 11548 1973                0.622641509
## 11549 1974                0.533333333
## 11550 1975                0.509090909
## 11551 1976                0.816666667
## 11552 1977                0.634920635
## 11553 1978                0.707692308
## 11554 1979                0.523076923
## 11555 1980                0.544117647
## 11556 1981                0.280701754
## 11557 1982                0.550000000
## 11558 1983                1.058823529
## 11559 1984                1.534883721
## 11560 1985                0.548076923
## 11561 1986                1.000000000
## 11562 1987                0.934426230
## 11563 1988                1.000000000
## 11564 1989                1.080645161
## 11565 1990                1.077844311
## 11566 1991                0.747706422
## 11567 1992                1.016666667
## 11568 1993                0.585152838
## 11569 1994                0.687370600
## 11570 1995                1.103004292
## 11571 1996                0.811188811
## 11572 1997                0.644036697
## 11573 1998                0.234782609
## 11574 1999                0.541304348
## 11575 2000                0.764172336
## 11576 2001                0.534526854
## 11577 2002                0.593896714
## 11578 2003                0.677325581
## 11579 2004                0.739463602
## 11580 2005                0.528662420
## 11581 2006                0.875389408
## 11582 2007                0.879310345
## 11583 2008                        NaN
## 11584 2009                        NaN
## 11585 2010                0.784722222
## 11586 2011                0.889733840
## 11587 2012                1.057613169
## 11588 2013                0.480952381
## 11589 2014                1.080882353
## 11590 2015                0.947761194
## 11591 2016                1.230158730
## 11592 2017                0.723076923
## 11593 1966                1.400000000
## 11594 1967                0.846153846
## 11595 1968                0.916666667
## 11596 1969                1.090909091
## 11597 1970                0.700000000
## 11598 1971                0.545454545
## 11599 1972                0.800000000
## 11600 1973                0.600000000
## 11601 1974                0.750000000
## 11602 1975                0.545454545
## 11603 1976                0.857142857
## 11604 1977                0.750000000
## 11605 1978                0.875000000
## 11606 1979                0.615384615
## 11607 1980                0.571428571
## 11608 1981                0.600000000
## 11609 1982                0.750000000
## 11610 1983                1.000000000
## 11611 1984                1.545454545
## 11612 1985                0.727272727
## 11613 1986                1.000000000
## 11614 1987                1.000000000
## 11615 1988                1.100000000
## 11616 1989                1.000000000
## 11617 1990                1.068965517
## 11618 1991                0.900000000
## 11619 1992                0.712121212
## 11620 1993                1.281250000
## 11621 1994                0.901639344
## 11622 1995                1.385964912
## 11623 1996                0.803571429
## 11624 1997                1.140350877
## 11625 1998                0.890909091
## 11626 1999                0.690476190
## 11627 2000                1.212121212
## 11628 2001                1.266666667
## 11629 2002                1.142857143
## 11630 2003                1.166666667
## 11631 2004                1.166666667
## 11632 2005                1.000000000
## 11633 2006                1.000000000
## 11634 2007                0.666666667
## 11635 2008                        NaN
## 11636 2009                        NaN
## 11637 2010                        NaN
## 11638 2011                        NaN
## 11639 2012                        Inf
## 11640 2013                        NaN
## 11641 2014                        NaN
## 11642 2015                0.000000000
## 11643 2016                        NaN
## 11644 2017                        NaN
## 11645 1966                0.800000000
## 11646 1967                0.888888889
## 11647 1968                0.888888889
## 11648 1969                1.000000000
## 11649 1970                0.666666667
## 11650 1971                0.500000000
## 11651 1972                0.750000000
## 11652 1973                0.625000000
## 11653 1974                0.750000000
## 11654 1975                0.600000000
## 11655 1976                0.875000000
## 11656 1977                1.000000000
## 11657 1978                0.857142857
## 11658 1979                0.666666667
## 11659 1980                0.555555556
## 11660 1981                0.600000000
## 11661 1982                0.666666667
## 11662 1983                1.125000000
## 11663 1984                1.555555556
## 11664 1985                0.714285714
## 11665 1986                1.000000000
## 11666 1987                1.000000000
## 11667 1988                1.000000000
## 11668 1989                1.076923077
## 11669 1990                1.075268817
## 11670 1991                0.897196262
## 11671 1992                0.713114754
## 11672 1993                1.289855072
## 11673 1994                0.892307692
## 11674 1995                1.386792453
## 11675 1996                0.815126050
## 11676 1997                1.125000000
## 11677 1998                0.888888889
## 11678 1999                0.684210526
## 11679 2000                1.240740741
## 11680 2001                1.177419355
## 11681 2002                1.157894737
## 11682 2003                1.190476190
## 11683 2004                1.000000000
## 11684 2005                1.187500000
## 11685 2006                1.000000000
## 11686 2007                1.000000000
## 11687 2008                        NaN
## 11688 2009                        NaN
## 11689 2010                1.117647059
## 11690 2011                1.117647059
## 11691 2012                1.266666667
## 11692 2013                1.000000000
## 11693 2014                1.000000000
## 11694 2015                1.000000000
## 11695 2016                1.000000000
## 11696 2017                1.400000000
## 11697 1966                0.482517483
## 11698 1967                0.554054054
## 11699 1968                0.456953642
## 11700 1969                0.573333333
## 11701 1970                0.503401361
## 11702 1971                0.515789474
## 11703 1972                0.809523810
## 11704 1973                0.619047619
## 11705 1974                0.551724138
## 11706 1975                0.511278195
## 11707 1976                1.000000000
## 11708 1977                0.739436620
## 11709 1978                0.835616438
## 11710 1979                0.673611111
## 11711 1980                0.544776119
## 11712 1981                0.550387597
## 11713 1982                0.609375000
## 11714 1983                1.042372881
## 11715 1984                1.915966387
## 11716 1985                0.829059829
## 11717 1986                1.015384615
## 11718 1987                0.803278689
## 11719 1988                1.307017544
## 11720 1989                1.090090090
## 11721 1990                1.387605042
## 11722 1991                0.899793388
## 11723 1992                0.888185654
## 11724 1993                1.286742035
## 11725 1994                0.902487562
## 11726 1995                1.389969294
## 11727 1996                0.814516129
## 11728 1997                1.320735444
## 11729 1998                0.386652542
## 11730 1999                0.938494168
## 11731 2000                0.762109795
## 11732 2001                0.938393839
## 11733 2002                0.851458886
## 11734 2003                0.965186074
## 11735 2004                0.687651332
## 11736 2005                0.866233766
## 11737 2006                0.756827048
## 11738 2007                0.878238342
## 11739 2008                        NaN
## 11740 2009                        NaN
## 11741 2010                0.693150685
## 11742 2011                0.841446453
## 11743 2012                0.882352941
## 11744 2013                0.461086637
## 11745 2014                1.081602374
## 11746 2015                0.947856315
## 11747 2016                1.230547550
## 11748 2017                0.723926380
## 11749 1966                0.626373626
## 11750 1967                0.824742268
## 11751 1968                0.593750000
## 11752 1969                0.656250000
## 11753 1970                0.687500000
## 11754 1971                0.511363636
## 11755 1972                0.811764706
## 11756 1973                0.613333333
## 11757 1974                0.805194805
## 11758 1975                0.846153846
## 11759 1976                1.063291139
## 11760 1977                1.105882353
## 11761 1978                0.837209302
## 11762 1979                0.666666667
## 11763 1980                0.545454545
## 11764 1981                0.562500000
## 11765 1982                0.611940299
## 11766 1983                1.052631579
## 11767 1984                1.523076923
## 11768 1985                0.661538462
## 11769 1986                0.932203390
## 11770 1987                0.576271186
## 11771 1988                1.016666667
## 11772 1989                1.983333333
## 11773 1990                0.944000000
## 11774 1991                0.784539474
## 11775 1992                0.758508914
## 11776 1993                1.047913447
## 11777 1994                0.859567901
## 11778 1995                1.256222548
## 11779 1996                1.038226300
## 11780 1997                1.135220126
## 11781 1998                0.772853186
## 11782 1999                0.666666667
## 11783 2000                1.283360791
## 11784 2001                1.083743842
## 11785 2002                0.995316159
## 11786 2003                1.053278689
## 11787 2004                1.162921348
## 11788 2005                1.534351145
## 11789 2006                1.441087613
## 11790 2007                1.102409639
## 11791 2008                        NaN
## 11792 2009                        NaN
## 11793 2010                1.278592375
## 11794 2011                1.227405248
## 11795 2012                1.376119403
## 11796 2013                1.036931818
## 11797 2014                1.711180124
## 11798 2015                0.857549858
## 11799 2016                1.029850746
## 11800 2017                0.809090909
## 11801 1966                0.814814815
## 11802 1967                0.831168831
## 11803 1968                0.868421053
## 11804 1969                1.069444444
## 11805 1970                0.684210526
## 11806 1971                0.507462687
## 11807 1972                0.805555556
## 11808 1973                0.615384615
## 11809 1974                0.728571429
## 11810 1975                0.617647059
## 11811 1976                0.973333333
## 11812 1977                1.390625000
## 11813 1978                0.937500000
## 11814 1979                0.767676768
## 11815 1980                0.545454545
## 11816 1981                0.750000000
## 11817 1982                0.652777778
## 11818 1983                1.465753425
## 11819 1984                1.536585366
## 11820 1985                0.811111111
## 11821 1986                0.975609756
## 11822 1987                0.941176471
## 11823 1988                1.009803922
## 11824 1989                1.098901099
## 11825 1990                1.078709677
## 11826 1991                0.899608866
## 11827 1992                0.711111111
## 11828 1993                1.287299630
## 11829 1994                0.902313625
## 11830 1995                1.390685640
## 11831 1996                0.810198300
## 11832 1997                0.643784787
## 11833 1998                0.234541578
## 11834 1999                0.542483660
## 11835 2000                0.761904762
## 11836 2001                1.104651163
## 11837 2002                0.731457801
## 11838 2003                0.868888889
## 11839 2004                0.838383838
## 11840 2005                0.482843137
## 11841 2006                1.121052632
## 11842 2007                0.877887789
## 11843 2008                        NaN
## 11844 2009                        NaN
## 11845 2010                1.290502793
## 11846 2011                1.190751445
## 11847 2012                1.057324841
## 11848 2013                0.481481481
## 11849 2014                1.080357143
## 11850 2015                0.933333333
## 11851 2016                1.217391304
## 11852 2017                0.725806452
## 11853 1966                0.250000000
## 11854 1967                0.500000000
## 11855 1968                0.500000000
## 11856 1969                0.600000000
## 11857 1970                1.000000000
## 11858 1971                0.500000000
## 11859 1972                0.500000000
## 11860 1973                0.500000000
## 11861 1974                        NaN
## 11862 1975                        NaN
## 11863 1976                1.000000000
## 11864 1977                        NaN
## 11865 1978                        NaN
## 11866 1979                0.000000000
## 11867 1980                        NaN
## 11868 1981                        NaN
## 11869 1982                        NaN
## 11870 1983                        NaN
## 11871 1984                        NaN
## 11872 1985                        NaN
## 11873 1986                        NaN
## 11874 1987                        NaN
## 11875 1988                        NaN
## 11876 1989                        NaN
## 11877 1990                        NaN
## 11878 1991                        NaN
## 11879 1992                        NaN
## 11880 1993                        NaN
## 11881 1994                        NaN
## 11882 1995                        NaN
## 11883 1996                        NaN
## 11884 1997                        NaN
## 11885 1998                        NaN
## 11886 1999                        NaN
## 11887 2000                        NaN
## 11888 2001                        NaN
## 11889 2002                        NaN
## 11890 2003                        NaN
## 11891 2004                        NaN
## 11892 2005                        NaN
## 11893 2006                        NaN
## 11894 2007                        NaN
## 11895 2008                        NaN
## 11896 2009                        NaN
## 11897 2010                        NaN
## 11898 2011                        NaN
## 11899 2012                        NaN
## 11900 2013                        NaN
## 11901 2014                        NaN
## 11902 2015                        NaN
## 11903 2016                        NaN
## 11904 2017                        NaN
## 11905 1966                        NaN
## 11906 1967                        NaN
## 11907 1968                        NaN
## 11908 1969                        NaN
## 11909 1970                        NaN
## 11910 1971                        NaN
## 11911 1972                        NaN
## 11912 1973                        NaN
## 11913 1974                        NaN
## 11914 1975                        NaN
## 11915 1976                        NaN
## 11916 1977                        NaN
## 11917 1978                        NaN
## 11918 1979                        NaN
## 11919 1980                        NaN
## 11920 1981                        NaN
## 11921 1982                        NaN
## 11922 1983                        NaN
## 11923 1984                        NaN
## 11924 1985                        NaN
## 11925 1986                        NaN
## 11926 1987                        NaN
## 11927 1988                        NaN
## 11928 1989                        NaN
## 11929 1990                        NaN
## 11930 1991                        NaN
## 11931 1992                        NaN
## 11932 1993                        NaN
## 11933 1994                        NaN
## 11934 1995                        NaN
## 11935 1996                        NaN
## 11936 1997                        NaN
## 11937 1998                        NaN
## 11938 1999                        NaN
## 11939 2000                        NaN
## 11940 2001                        NaN
## 11941 2002                        NaN
## 11942 2003                        NaN
## 11943 2004                        NaN
## 11944 2005                        NaN
## 11945 2006                        NaN
## 11946 2007                        NaN
## 11947 2008                        NaN
## 11948 2009                        NaN
## 11949 2010                        NaN
## 11950 2011                        NaN
## 11951 2012                        NaN
## 11952 2013                        NaN
## 11953 2014                        NaN
## 11954 2015                        NaN
## 11955 2016                        NaN
## 11956 2017                        NaN
## 11957 1966                        NaN
## 11958 1967                        NaN
## 11959 1968                        NaN
## 11960 1969                        NaN
## 11961 1970                        NaN
## 11962 1971                        NaN
## 11963 1972                        NaN
## 11964 1973                        NaN
## 11965 1974                        NaN
## 11966 1975                        NaN
## 11967 1976                        NaN
## 11968 1977                        NaN
## 11969 1978                        NaN
## 11970 1979                        NaN
## 11971 1980                        NaN
## 11972 1981                        NaN
## 11973 1982                        NaN
## 11974 1983                        NaN
## 11975 1984                        NaN
## 11976 1985                        NaN
## 11977 1986                        NaN
## 11978 1987                        NaN
## 11979 1988                        NaN
## 11980 1989                        NaN
## 11981 1990                        NaN
## 11982 1991                        NaN
## 11983 1992                        NaN
## 11984 1993                        NaN
## 11985 1994                        NaN
## 11986 1995                        NaN
## 11987 1996                        NaN
## 11988 1997                        NaN
## 11989 1998                        NaN
## 11990 1999                        NaN
## 11991 2000                        NaN
## 11992 2001                        NaN
## 11993 2002                        NaN
## 11994 2003                        NaN
## 11995 2004                        NaN
## 11996 2005                        NaN
## 11997 2006                        NaN
## 11998 2007                        NaN
## 11999 2008                        NaN
## 12000 2009                        NaN
## 12001 2010                        NaN
## 12002 2011                        NaN
## 12003 2012                        NaN
## 12004 2013                        NaN
## 12005 2014                        NaN
## 12006 2015                        NaN
## 12007 2016                        NaN
## 12008 2017                        NaN
## 12009 1966                        NaN
## 12010 1967                        NaN
## 12011 1968                        NaN
## 12012 1969                        NaN
## 12013 1970                        NaN
## 12014 1971                        NaN
## 12015 1972                        NaN
## 12016 1973                        NaN
## 12017 1974                        NaN
## 12018 1975                        NaN
## 12019 1976                        NaN
## 12020 1977                        NaN
## 12021 1978                        NaN
## 12022 1979                        NaN
## 12023 1980                        NaN
## 12024 1981                        NaN
## 12025 1982                        NaN
## 12026 1983                        NaN
## 12027 1984                        NaN
## 12028 1985                        NaN
## 12029 1986                        NaN
## 12030 1987                        NaN
## 12031 1988                        NaN
## 12032 1989                        NaN
## 12033 1990                        NaN
## 12034 1991                        NaN
## 12035 1992                        NaN
## 12036 1993                        NaN
## 12037 1994                        NaN
## 12038 1995                        NaN
## 12039 1996                        NaN
## 12040 1997                        NaN
## 12041 1998                        NaN
## 12042 1999                        NaN
## 12043 2000                        NaN
## 12044 2001                        NaN
## 12045 2002                        NaN
## 12046 2003                        NaN
## 12047 2004                        NaN
## 12048 2005                        NaN
## 12049 2006                        NaN
## 12050 2007                        NaN
## 12051 2008                        NaN
## 12052 2009                        NaN
## 12053 2010                        NaN
## 12054 2011                        NaN
## 12055 2012                        NaN
## 12056 2013                        NaN
## 12057 2014                        NaN
## 12058 2015                        NaN
## 12059 2016                        NaN
## 12060 2017                        NaN
## 12061 1966                        NaN
## 12062 1967                        NaN
## 12063 1968                        NaN
## 12064 1969                        NaN
## 12065 1970                        NaN
## 12066 1971                        NaN
## 12067 1972                        NaN
## 12068 1973                        NaN
## 12069 1974                        NaN
## 12070 1975                        NaN
## 12071 1976                        NaN
## 12072 1977                        NaN
## 12073 1978                        NaN
## 12074 1979                        NaN
## 12075 1980                        NaN
## 12076 1981                        NaN
## 12077 1982                        NaN
## 12078 1983                        NaN
## 12079 1984                        NaN
## 12080 1985                        NaN
## 12081 1986                        NaN
## 12082 1987                        NaN
## 12083 1988                        NaN
## 12084 1989                        NaN
## 12085 1990                        NaN
## 12086 1991                        NaN
## 12087 1992                        NaN
## 12088 1993                        NaN
## 12089 1994                        NaN
## 12090 1995                        NaN
## 12091 1996                        NaN
## 12092 1997                        NaN
## 12093 1998                        NaN
## 12094 1999                        NaN
## 12095 2000                        NaN
## 12096 2001                        NaN
## 12097 2002                        NaN
## 12098 2003                        NaN
## 12099 2004                        NaN
## 12100 2005                        NaN
## 12101 2006                        NaN
## 12102 2007                        NaN
## 12103 2008                        NaN
## 12104 2009                        NaN
## 12105 2010                        NaN
## 12106 2011                        NaN
## 12107 2012                        NaN
## 12108 2013                        NaN
## 12109 2014                        NaN
## 12110 2015                        NaN
## 12111 2016                        NaN
## 12112 2017                        NaN
## 12113 1966                        NaN
## 12114 1967                        NaN
## 12115 1968                        NaN
## 12116 1969                        NaN
## 12117 1970                        NaN
## 12118 1971                        NaN
## 12119 1972                        NaN
## 12120 1973                        NaN
## 12121 1974                        NaN
## 12122 1975                        NaN
## 12123 1976                        NaN
## 12124 1977                        NaN
## 12125 1978                        NaN
## 12126 1979                        NaN
## 12127 1980                        NaN
## 12128 1981                        NaN
## 12129 1982                        NaN
## 12130 1983                        NaN
## 12131 1984                        NaN
## 12132 1985                        NaN
## 12133 1986                        NaN
## 12134 1987                        NaN
## 12135 1988                        NaN
## 12136 1989                        NaN
## 12137 1990                        NaN
## 12138 1991                        NaN
## 12139 1992                        NaN
## 12140 1993                        NaN
## 12141 1994                        NaN
## 12142 1995                        NaN
## 12143 1996                        NaN
## 12144 1997                        NaN
## 12145 1998                        NaN
## 12146 1999                        NaN
## 12147 2000                        NaN
## 12148 2001                        NaN
## 12149 2002                        NaN
## 12150 2003                        NaN
## 12151 2004                        NaN
## 12152 2005                        NaN
## 12153 2006                        NaN
## 12154 2007                        NaN
## 12155 2008                        NaN
## 12156 2009                        NaN
## 12157 2010                        NaN
## 12158 2011                        NaN
## 12159 2012                        NaN
## 12160 2013                        NaN
## 12161 2014                        NaN
## 12162 2015                        NaN
## 12163 2016                        NaN
## 12164 2017                        NaN
## 12165 1966                        NaN
## 12166 1967                        NaN
## 12167 1968                        NaN
## 12168 1969                        NaN
## 12169 1970                        NaN
## 12170 1971                        NaN
## 12171 1972                        NaN
## 12172 1973                        NaN
## 12173 1974                        NaN
## 12174 1975                        NaN
## 12175 1976                        NaN
## 12176 1977                        NaN
## 12177 1978                        NaN
## 12178 1979                        NaN
## 12179 1980                        NaN
## 12180 1981                        NaN
## 12181 1982                        NaN
## 12182 1983                        NaN
## 12183 1984                        NaN
## 12184 1985                        NaN
## 12185 1986                        NaN
## 12186 1987                        NaN
## 12187 1988                        NaN
## 12188 1989                        NaN
## 12189 1990                        NaN
## 12190 1991                        NaN
## 12191 1992                        NaN
## 12192 1993                        NaN
## 12193 1994                        NaN
## 12194 1995                        NaN
## 12195 1996                        NaN
## 12196 1997                        NaN
## 12197 1998                        NaN
## 12198 1999                        NaN
## 12199 2000                        NaN
## 12200 2001                        NaN
## 12201 2002                        NaN
## 12202 2003                        NaN
## 12203 2004                        NaN
## 12204 2005                        NaN
## 12205 2006                        NaN
## 12206 2007                        NaN
## 12207 2008                        NaN
## 12208 2009                        NaN
## 12209 2010                        NaN
## 12210 2011                        NaN
## 12211 2012                        NaN
## 12212 2013                        NaN
## 12213 2014                        NaN
## 12214 2015                        NaN
## 12215 2016                        NaN
## 12216 2017                        NaN
## 12217 1966                        NaN
## 12218 1967                        NaN
## 12219 1968                0.000000000
## 12220 1969                        NaN
## 12221 1970                        NaN
## 12222 1971                        NaN
## 12223 1972                        NaN
## 12224 1973                        NaN
## 12225 1974                        NaN
## 12226 1975                        NaN
## 12227 1976                        NaN
## 12228 1977                        NaN
## 12229 1978                        NaN
## 12230 1979                        NaN
## 12231 1980                        NaN
## 12232 1981                        NaN
## 12233 1982                        NaN
## 12234 1983                        NaN
## 12235 1984                        NaN
## 12236 1985                        NaN
## 12237 1986                        NaN
## 12238 1987                        NaN
## 12239 1988                        NaN
## 12240 1989                        NaN
## 12241 1990                        NaN
## 12242 1991                        NaN
## 12243 1992                        NaN
## 12244 1993                        NaN
## 12245 1994                        NaN
## 12246 1995                        NaN
## 12247 1996                        NaN
## 12248 1997                        NaN
## 12249 1998                        NaN
## 12250 1999                        NaN
## 12251 2000                        NaN
## 12252 2001                        NaN
## 12253 2002                        NaN
## 12254 2003                        NaN
## 12255 2004                        NaN
## 12256 2005                        NaN
## 12257 2006                        NaN
## 12258 2007                        NaN
## 12259 2008                        NaN
## 12260 2009                        NaN
## 12261 2010                        NaN
## 12262 2011                        NaN
## 12263 2012                        NaN
## 12264 2013                        NaN
## 12265 2014                        NaN
## 12266 2015                        NaN
## 12267 2016                        NaN
## 12268 2017                        NaN
## 12269 1966                        NaN
## 12270 1967                        NaN
## 12271 1968                        NaN
## 12272 1969                        NaN
## 12273 1970                        NaN
## 12274 1971                        NaN
## 12275 1972                        NaN
## 12276 1973                        NaN
## 12277 1974                        NaN
## 12278 1975                        NaN
## 12279 1976                        NaN
## 12280 1977                        NaN
## 12281 1978                        NaN
## 12282 1979                        NaN
## 12283 1980                        NaN
## 12284 1981                        NaN
## 12285 1982                        NaN
## 12286 1983                        NaN
## 12287 1984                        NaN
## 12288 1985                        NaN
## 12289 1986                        NaN
## 12290 1987                        NaN
## 12291 1988                        NaN
## 12292 1989                        NaN
## 12293 1990                        NaN
## 12294 1991                        NaN
## 12295 1992                        NaN
## 12296 1993                        NaN
## 12297 1994                        NaN
## 12298 1995                        NaN
## 12299 1996                        NaN
## 12300 1997                        NaN
## 12301 1998                        NaN
## 12302 1999                        NaN
## 12303 2000                        NaN
## 12304 2001                        NaN
## 12305 2002                        NaN
## 12306 2003                        NaN
## 12307 2004                        NaN
## 12308 2005                        NaN
## 12309 2006                        NaN
## 12310 2007                        NaN
## 12311 2008                        NaN
## 12312 2009                        NaN
## 12313 2010                        NaN
## 12314 2011                        NaN
## 12315 2012                        NaN
## 12316 2013                        NaN
## 12317 2014                        NaN
## 12318 2015                        NaN
## 12319 2016                        NaN
## 12320 2017                        NaN
## 12321 1966                        NaN
## 12322 1967                        NaN
## 12323 1968                        NaN
## 12324 1969                        NaN
## 12325 1970                        NaN
## 12326 1971                        NaN
## 12327 1972                        NaN
## 12328 1973                        NaN
## 12329 1974                        NaN
## 12330 1975                        NaN
## 12331 1976                        NaN
## 12332 1977                        NaN
## 12333 1978                        NaN
## 12334 1979                        NaN
## 12335 1980                        NaN
## 12336 1981                        NaN
## 12337 1982                        NaN
## 12338 1983                        NaN
## 12339 1984                        NaN
## 12340 1985                        NaN
## 12341 1986                        NaN
## 12342 1987                        NaN
## 12343 1988                        NaN
## 12344 1989                        NaN
## 12345 1990                        NaN
## 12346 1991                        NaN
## 12347 1992                        NaN
## 12348 1993                        NaN
## 12349 1994                        NaN
## 12350 1995                        NaN
## 12351 1996                        NaN
## 12352 1997                        NaN
## 12353 1998                        NaN
## 12354 1999                        NaN
## 12355 2000                        NaN
## 12356 2001                        NaN
## 12357 2002                        NaN
## 12358 2003                        NaN
## 12359 2004                        NaN
## 12360 2005                        NaN
## 12361 2006                        NaN
## 12362 2007                        NaN
## 12363 2008                        NaN
## 12364 2009                        NaN
## 12365 2010                        NaN
## 12366 2011                        NaN
## 12367 2012                        NaN
## 12368 2013                        NaN
## 12369 2014                        NaN
## 12370 2015                        NaN
## 12371 2016                        NaN
## 12372 2017                        NaN
## 12373 1966                        NaN
## 12374 1967                        NaN
## 12375 1968                        NaN
## 12376 1969                        NaN
## 12377 1970                        NaN
## 12378 1971                        NaN
## 12379 1972                        NaN
## 12380 1973                        NaN
## 12381 1974                        NaN
## 12382 1975                        NaN
## 12383 1976                        NaN
## 12384 1977                        NaN
## 12385 1978                        NaN
## 12386 1979                        NaN
## 12387 1980                        NaN
## 12388 1981                        NaN
## 12389 1982                        NaN
## 12390 1983                        NaN
## 12391 1984                        NaN
## 12392 1985                        NaN
## 12393 1986                        NaN
## 12394 1987                        NaN
## 12395 1988                        NaN
## 12396 1989                        NaN
## 12397 1990                        NaN
## 12398 1991                        NaN
## 12399 1992                        NaN
## 12400 1993                        NaN
## 12401 1994                        NaN
## 12402 1995                        NaN
## 12403 1996                        NaN
## 12404 1997                        NaN
## 12405 1998                        NaN
## 12406 1999                        NaN
## 12407 2000                        NaN
## 12408 2001                        NaN
## 12409 2002                        NaN
## 12410 2003                        NaN
## 12411 2004                        NaN
## 12412 2005                        NaN
## 12413 2006                        NaN
## 12414 2007                        NaN
## 12415 2008                        NaN
## 12416 2009                        NaN
## 12417 2010                        NaN
## 12418 2011                        NaN
## 12419 2012                        NaN
## 12420 2013                        NaN
## 12421 2014                        NaN
## 12422 2015                        NaN
## 12423 2016                        NaN
## 12424 2017                        NaN
## 12425 1966                        NaN
## 12426 1967                        NaN
## 12427 1968                        NaN
## 12428 1969                        NaN
## 12429 1970                        NaN
## 12430 1971                        NaN
## 12431 1972                        NaN
## 12432 1973                        NaN
## 12433 1974                        NaN
## 12434 1975                        NaN
## 12435 1976                        NaN
## 12436 1977                        NaN
## 12437 1978                        NaN
## 12438 1979                        NaN
## 12439 1980                        NaN
## 12440 1981                        NaN
## 12441 1982                        NaN
## 12442 1983                        NaN
## 12443 1984                        NaN
## 12444 1985                        NaN
## 12445 1986                        NaN
## 12446 1987                        NaN
## 12447 1988                        NaN
## 12448 1989                        NaN
## 12449 1990                        NaN
## 12450 1991                        NaN
## 12451 1992                        NaN
## 12452 1993                        NaN
## 12453 1994                        NaN
## 12454 1995                        NaN
## 12455 1996                        NaN
## 12456 1997                        NaN
## 12457 1998                        NaN
## 12458 1999                        NaN
## 12459 2000                        NaN
## 12460 2001                        NaN
## 12461 2002                        NaN
## 12462 2003                        NaN
## 12463 2004                        NaN
## 12464 2005                        NaN
## 12465 2006                        NaN
## 12466 2007                        NaN
## 12467 2008                        NaN
## 12468 2009                        NaN
## 12469 2010                        NaN
## 12470 2011                        NaN
## 12471 2012                        NaN
## 12472 2013                        NaN
## 12473 2014                        NaN
## 12474 2015                        NaN
## 12475 2016                        NaN
## 12476 2017                        NaN
## 12477 1966                        NaN
## 12478 1967                        NaN
## 12479 1968                        NaN
## 12480 1969                        NaN
## 12481 1970                        NaN
## 12482 1971                        NaN
## 12483 1972                        NaN
## 12484 1973                        NaN
## 12485 1974                        NaN
## 12486 1975                        NaN
## 12487 1976                        NaN
## 12488 1977                        NaN
## 12489 1978                        NaN
## 12490 1979                        NaN
## 12491 1980                        NaN
## 12492 1981                        NaN
## 12493 1982                        NaN
## 12494 1983                        NaN
## 12495 1984                        NaN
## 12496 1985                        NaN
## 12497 1986                        NaN
## 12498 1987                        NaN
## 12499 1988                        NaN
## 12500 1989                        NaN
## 12501 1990                        NaN
## 12502 1991                        NaN
## 12503 1992                        NaN
## 12504 1993                        NaN
## 12505 1994                        NaN
## 12506 1995                        NaN
## 12507 1996                        NaN
## 12508 1997                        NaN
## 12509 1998                        NaN
## 12510 1999                        NaN
## 12511 2000                        NaN
## 12512 2001                        NaN
## 12513 2002                        NaN
## 12514 2003                        NaN
## 12515 2004                        NaN
## 12516 2005                        NaN
## 12517 2006                        NaN
## 12518 2007                        NaN
## 12519 2008                        NaN
## 12520 2009                        NaN
## 12521 2010                        NaN
## 12522 2011                        NaN
## 12523 2012                        NaN
## 12524 2013                        NaN
## 12525 2014                        NaN
## 12526 2015                        NaN
## 12527 2016                        NaN
## 12528 2017                        NaN
## 12529 1966                        NaN
## 12530 1967                        NaN
## 12531 1968                        NaN
## 12532 1969                        NaN
## 12533 1970                        NaN
## 12534 1971                        NaN
## 12535 1972                        NaN
## 12536 1973                        NaN
## 12537 1974                        NaN
## 12538 1975                        NaN
## 12539 1976                        NaN
## 12540 1977                        NaN
## 12541 1978                        NaN
## 12542 1979                        NaN
## 12543 1980                        NaN
## 12544 1981                        NaN
## 12545 1982                        NaN
## 12546 1983                        NaN
## 12547 1984                        NaN
## 12548 1985                        NaN
## 12549 1986                        NaN
## 12550 1987                        NaN
## 12551 1988                        NaN
## 12552 1989                        NaN
## 12553 1990                        NaN
## 12554 1991                        NaN
## 12555 1992                        NaN
## 12556 1993                        NaN
## 12557 1994                        NaN
## 12558 1995                        NaN
## 12559 1996                        NaN
## 12560 1997                        NaN
## 12561 1998                        NaN
## 12562 1999                        NaN
## 12563 2000                        NaN
## 12564 2001                        NaN
## 12565 2002                        NaN
## 12566 2003                        NaN
## 12567 2004                        NaN
## 12568 2005                        NaN
## 12569 2006                        NaN
## 12570 2007                        NaN
## 12571 2008                        NaN
## 12572 2009                        NaN
## 12573 2010                        NaN
## 12574 2011                        NaN
## 12575 2012                        NaN
## 12576 2013                        NaN
## 12577 2014                        NaN
## 12578 2015                        NaN
## 12579 2016                        NaN
## 12580 2017                        NaN
## 12581 1966                        NaN
## 12582 1967                        NaN
## 12583 1968                        NaN
## 12584 1969                        NaN
## 12585 1970                        NaN
## 12586 1971                        NaN
## 12587 1972                        NaN
## 12588 1973                        NaN
## 12589 1974                        NaN
## 12590 1975                        NaN
## 12591 1976                        NaN
## 12592 1977                        NaN
## 12593 1978                        NaN
## 12594 1979                        NaN
## 12595 1980                        NaN
## 12596 1981                        NaN
## 12597 1982                        NaN
## 12598 1983                        NaN
## 12599 1984                        NaN
## 12600 1985                        NaN
## 12601 1986                        NaN
## 12602 1987                        NaN
## 12603 1988                        NaN
## 12604 1989                        NaN
## 12605 1990                        NaN
## 12606 1991                        NaN
## 12607 1992                        NaN
## 12608 1993                        NaN
## 12609 1994                        NaN
## 12610 1995                        NaN
## 12611 1996                        NaN
## 12612 1997                        NaN
## 12613 1998                        NaN
## 12614 1999                        NaN
## 12615 2000                        NaN
## 12616 2001                        NaN
## 12617 2002                        NaN
## 12618 2003                        NaN
## 12619 2004                        NaN
## 12620 2005                        NaN
## 12621 2006                        NaN
## 12622 2007                        NaN
## 12623 2008                        NaN
## 12624 2009                        NaN
## 12625 2010                        NaN
## 12626 2011                        NaN
## 12627 2012                        NaN
## 12628 2013                        NaN
## 12629 2014                        NaN
## 12630 2015                        NaN
## 12631 2016                        NaN
## 12632 2017                        NaN
## 12633 1966                        NaN
## 12634 1967                        NaN
## 12635 1968                        NaN
## 12636 1969                        NaN
## 12637 1970                        NaN
## 12638 1971                        NaN
## 12639 1972                        NaN
## 12640 1973                        NaN
## 12641 1974                        NaN
## 12642 1975                        NaN
## 12643 1976                        NaN
## 12644 1977                        NaN
## 12645 1978                        NaN
## 12646 1979                        NaN
## 12647 1980                        NaN
## 12648 1981                        NaN
## 12649 1982                        NaN
## 12650 1983                        NaN
## 12651 1984                        NaN
## 12652 1985                        NaN
## 12653 1986                        NaN
## 12654 1987                        NaN
## 12655 1988                        NaN
## 12656 1989                        NaN
## 12657 1990                        NaN
## 12658 1991                        NaN
## 12659 1992                        NaN
## 12660 1993                        NaN
## 12661 1994                        NaN
## 12662 1995                        NaN
## 12663 1996                        NaN
## 12664 1997                        NaN
## 12665 1998                        NaN
## 12666 1999                        NaN
## 12667 2000                        NaN
## 12668 2001                        NaN
## 12669 2002                        NaN
## 12670 2003                        NaN
## 12671 2004                        NaN
## 12672 2005                        NaN
## 12673 2006                        NaN
## 12674 2007                        NaN
## 12675 2008                        NaN
## 12676 2009                        NaN
## 12677 2010                        NaN
## 12678 2011                        NaN
## 12679 2012                        NaN
## 12680 2013                        NaN
## 12681 2014                        NaN
## 12682 2015                        NaN
## 12683 2016                        NaN
## 12684 2017                        NaN
## 12685 1966                        NaN
## 12686 1967                        NaN
## 12687 1968                        NaN
## 12688 1969                        NaN
## 12689 1970                        NaN
## 12690 1971                        NaN
## 12691 1972                        NaN
## 12692 1973                        NaN
## 12693 1974                        NaN
## 12694 1975                        NaN
## 12695 1976                        NaN
## 12696 1977                        NaN
## 12697 1978                        NaN
## 12698 1979                        NaN
## 12699 1980                        NaN
## 12700 1981                        NaN
## 12701 1982                        NaN
## 12702 1983                        NaN
## 12703 1984                        NaN
## 12704 1985                        NaN
## 12705 1986                        NaN
## 12706 1987                        NaN
## 12707 1988                        NaN
## 12708 1989                        NaN
## 12709 1990                        NaN
## 12710 1991                        NaN
## 12711 1992                        NaN
## 12712 1993                        NaN
## 12713 1994                        NaN
## 12714 1995                        NaN
## 12715 1996                        NaN
## 12716 1997                        NaN
## 12717 1998                        NaN
## 12718 1999                        NaN
## 12719 2000                        NaN
## 12720 2001                        NaN
## 12721 2002                        NaN
## 12722 2003                        NaN
## 12723 2004                        NaN
## 12724 2005                        NaN
## 12725 2006                        NaN
## 12726 2007                        NaN
## 12727 2008                        NaN
## 12728 2009                        NaN
## 12729 2010                        NaN
## 12730 2011                        NaN
## 12731 2012                        NaN
## 12732 2013                        NaN
## 12733 2014                        NaN
## 12734 2015                        NaN
## 12735 2016                        NaN
## 12736 2017                        NaN
## 12737 1966                        NaN
## 12738 1967                        NaN
## 12739 1968                        NaN
## 12740 1969                        NaN
## 12741 1970                        NaN
## 12742 1971                        NaN
## 12743 1972                        NaN
## 12744 1973                        NaN
## 12745 1974                        NaN
## 12746 1975                        NaN
## 12747 1976                        NaN
## 12748 1977                        NaN
## 12749 1978                        NaN
## 12750 1979                        NaN
## 12751 1980                        NaN
## 12752 1981                        NaN
## 12753 1982                        NaN
## 12754 1983                        NaN
## 12755 1984                        NaN
## 12756 1985                        NaN
## 12757 1986                        NaN
## 12758 1987                        NaN
## 12759 1988                        NaN
## 12760 1989                        NaN
## 12761 1990                        NaN
## 12762 1991                        NaN
## 12763 1992                        NaN
## 12764 1993                        NaN
## 12765 1994                        NaN
## 12766 1995                        NaN
## 12767 1996                        NaN
## 12768 1997                        NaN
## 12769 1998                        NaN
## 12770 1999                        NaN
## 12771 2000                        NaN
## 12772 2001                        NaN
## 12773 2002                        NaN
## 12774 2003                        NaN
## 12775 2004                        NaN
## 12776 2005                        NaN
## 12777 2006                        NaN
## 12778 2007                        NaN
## 12779 2008                        NaN
## 12780 2009                        NaN
## 12781 2010                        NaN
## 12782 2011                        NaN
## 12783 2012                        NaN
## 12784 2013                        NaN
## 12785 2014                        NaN
## 12786 2015                        NaN
## 12787 2016                        NaN
## 12788 2017                        NaN
## 12789 1966                1.000000000
## 12790 1967                1.000000000
## 12791 1968                1.000000000
## 12792 1969                1.000000000
## 12793 1970                        NaN
## 12794 1971                        NaN
## 12795 1972                        NaN
## 12796 1973                        NaN
## 12797 1974                        NaN
## 12798 1975                        NaN
## 12799 1976                        NaN
## 12800 1977                        NaN
## 12801 1978                        NaN
## 12802 1979                        NaN
## 12803 1980                        NaN
## 12804 1981                        NaN
## 12805 1982                        NaN
## 12806 1983                        NaN
## 12807 1984                        NaN
## 12808 1985                        NaN
## 12809 1986                        NaN
## 12810 1987                        NaN
## 12811 1988                        NaN
## 12812 1989                        NaN
## 12813 1990                        NaN
## 12814 1991                        NaN
## 12815 1992                        NaN
## 12816 1993                        NaN
## 12817 1994                        NaN
## 12818 1995                        NaN
## 12819 1996                        NaN
## 12820 1997                        NaN
## 12821 1998                        NaN
## 12822 1999                        NaN
## 12823 2000                        NaN
## 12824 2001                        NaN
## 12825 2002                        NaN
## 12826 2003                        NaN
## 12827 2004                        NaN
## 12828 2005                        NaN
## 12829 2006                        NaN
## 12830 2007                        NaN
## 12831 2008                        NaN
## 12832 2009                        NaN
## 12833 2010                        NaN
## 12834 2011                        NaN
## 12835 2012                        NaN
## 12836 2013                        NaN
## 12837 2014                        NaN
## 12838 2015                        NaN
## 12839 2016                        NaN
## 12840 2017                        NaN
## 12841 1966                1.000000000
## 12842 1967                1.000000000
## 12843 1968                1.000000000
## 12844 1969                1.000000000
## 12845 1970                        NaN
## 12846 1971                        NaN
## 12847 1972                        NaN
## 12848 1973                        NaN
## 12849 1974                        NaN
## 12850 1975                        NaN
## 12851 1976                        NaN
## 12852 1977                        NaN
## 12853 1978                        NaN
## 12854 1979                        NaN
## 12855 1980                        NaN
## 12856 1981                        NaN
## 12857 1982                        NaN
## 12858 1983                        NaN
## 12859 1984                        NaN
## 12860 1985                        NaN
## 12861 1986                        NaN
## 12862 1987                        NaN
## 12863 1988                        NaN
## 12864 1989                        NaN
## 12865 1990                        NaN
## 12866 1991                        NaN
## 12867 1992                        NaN
## 12868 1993                        NaN
## 12869 1994                        NaN
## 12870 1995                        NaN
## 12871 1996                        NaN
## 12872 1997                        NaN
## 12873 1998                        NaN
## 12874 1999                        NaN
## 12875 2000                        NaN
## 12876 2001                        NaN
## 12877 2002                        NaN
## 12878 2003                        NaN
## 12879 2004                        NaN
## 12880 2005                        NaN
## 12881 2006                        NaN
## 12882 2007                        NaN
## 12883 2008                        NaN
## 12884 2009                        NaN
## 12885 2010                        NaN
## 12886 2011                        NaN
## 12887 2012                        NaN
## 12888 2013                        NaN
## 12889 2014                        NaN
## 12890 2015                        NaN
## 12891 2016                        NaN
## 12892 2017                        NaN
## 12893 1966                1.000000000
## 12894 1967                1.000000000
## 12895 1968                1.000000000
## 12896 1969                1.000000000
## 12897 1970                        NaN
## 12898 1971                        NaN
## 12899 1972                        NaN
## 12900 1973                        NaN
## 12901 1974                        NaN
## 12902 1975                        NaN
## 12903 1976                        NaN
## 12904 1977                        NaN
## 12905 1978                        NaN
## 12906 1979                        NaN
## 12907 1980                        NaN
## 12908 1981                        NaN
## 12909 1982                0.000000000
## 12910 1983                0.500000000
## 12911 1984                0.750000000
## 12912 1985                        NaN
## 12913 1986                        NaN
## 12914 1987                        NaN
## 12915 1988                        NaN
## 12916 1989                        NaN
## 12917 1990                        NaN
## 12918 1991                        NaN
## 12919 1992                        NaN
## 12920 1993                        NaN
## 12921 1994                        NaN
## 12922 1995                        NaN
## 12923 1996                        NaN
## 12924 1997                        NaN
## 12925 1998                        NaN
## 12926 1999                        NaN
## 12927 2000                0.321428571
## 12928 2001                        NaN
## 12929 2002                        NaN
## 12930 2003                        NaN
## 12931 2004                        NaN
## 12932 2005                        NaN
## 12933 2006                        NaN
## 12934 2007                        NaN
## 12935 2008                        NaN
## 12936 2009                        NaN
## 12937 2010                        NaN
## 12938 2011                        NaN
## 12939 2012                        NaN
## 12940 2013                        NaN
## 12941 2014                        NaN
## 12942 2015                        NaN
## 12943 2016                        NaN
## 12944 2017                        NaN
## 12945 1966                1.000000000
## 12946 1967                1.000000000
## 12947 1968                1.000000000
## 12948 1969                1.000000000
## 12949 1970                        NaN
## 12950 1971                        NaN
## 12951 1972                        NaN
## 12952 1973                        NaN
## 12953 1974                        NaN
## 12954 1975                        NaN
## 12955 1976                        NaN
## 12956 1977                        NaN
## 12957 1978                        NaN
## 12958 1979                        NaN
## 12959 1980                        NaN
## 12960 1981                        NaN
## 12961 1982                        NaN
## 12962 1983                        NaN
## 12963 1984                        NaN
## 12964 1985                        NaN
## 12965 1986                        NaN
## 12966 1987                        NaN
## 12967 1988                        NaN
## 12968 1989                        NaN
## 12969 1990                        NaN
## 12970 1991                        NaN
## 12971 1992                        NaN
## 12972 1993                        NaN
## 12973 1994                        NaN
## 12974 1995                        NaN
## 12975 1996                        NaN
## 12976 1997                        NaN
## 12977 1998                        NaN
## 12978 1999                        NaN
## 12979 2000                        NaN
## 12980 2001                        NaN
## 12981 2002                        NaN
## 12982 2003                        NaN
## 12983 2004                        NaN
## 12984 2005                        NaN
## 12985 2006                        NaN
## 12986 2007                        NaN
## 12987 2008                        NaN
## 12988 2009                        NaN
## 12989 2010                        NaN
## 12990 2011                        NaN
## 12991 2012                        NaN
## 12992 2013                        NaN
## 12993 2014                        NaN
## 12994 2015                        NaN
## 12995 2016                        NaN
## 12996 2017                        NaN
## 12997 1966                1.000000000
## 12998 1967                1.000000000
## 12999 1968                1.000000000
## 13000 1969                1.000000000
## 13001 1970                        NaN
## 13002 1971                        NaN
## 13003 1972                        NaN
## 13004 1973                        NaN
## 13005 1974                        NaN
## 13006 1975                        NaN
## 13007 1976                        NaN
## 13008 1977                        NaN
## 13009 1978                        NaN
## 13010 1979                        NaN
## 13011 1980                        NaN
## 13012 1981                        NaN
## 13013 1982                        NaN
## 13014 1983                        NaN
## 13015 1984                        NaN
## 13016 1985                        NaN
## 13017 1986                        NaN
## 13018 1987                        NaN
## 13019 1988                        NaN
## 13020 1989                        NaN
## 13021 1990                        NaN
## 13022 1991                        NaN
## 13023 1992                        NaN
## 13024 1993                        NaN
## 13025 1994                        NaN
## 13026 1995                        NaN
## 13027 1996                        NaN
## 13028 1997                        NaN
## 13029 1998                        NaN
## 13030 1999                        NaN
## 13031 2000                        NaN
## 13032 2001                        NaN
## 13033 2002                        NaN
## 13034 2003                        NaN
## 13035 2004                        NaN
## 13036 2005                        NaN
## 13037 2006                        NaN
## 13038 2007                        NaN
## 13039 2008                        NaN
## 13040 2009                        NaN
## 13041 2010                        NaN
## 13042 2011                        NaN
## 13043 2012                        NaN
## 13044 2013                        NaN
## 13045 2014                        NaN
## 13046 2015                        NaN
## 13047 2016                        NaN
## 13048 2017                        NaN
## 13049 1966                1.000000000
## 13050 1967                1.000000000
## 13051 1968                1.000000000
## 13052 1969                1.000000000
## 13053 1970                        NaN
## 13054 1971                        NaN
## 13055 1972                        NaN
## 13056 1973                        NaN
## 13057 1974                        NaN
## 13058 1975                        NaN
## 13059 1976                        NaN
## 13060 1977                        NaN
## 13061 1978                        NaN
## 13062 1979                        NaN
## 13063 1980                        NaN
## 13064 1981                        NaN
## 13065 1982                        NaN
## 13066 1983                        NaN
## 13067 1984                        NaN
## 13068 1985                0.000000000
## 13069 1986                        NaN
## 13070 1987                        NaN
## 13071 1988                        NaN
## 13072 1989                        NaN
## 13073 1990                        NaN
## 13074 1991                        NaN
## 13075 1992                        NaN
## 13076 1993                        NaN
## 13077 1994                        NaN
## 13078 1995                        NaN
## 13079 1996                        NaN
## 13080 1997                        NaN
## 13081 1998                        NaN
## 13082 1999                        NaN
## 13083 2000                        NaN
## 13084 2001                        NaN
## 13085 2002                        NaN
## 13086 2003                        NaN
## 13087 2004                        NaN
## 13088 2005                        NaN
## 13089 2006                        NaN
## 13090 2007                        NaN
## 13091 2008                        NaN
## 13092 2009                        NaN
## 13093 2010                        NaN
## 13094 2011                        NaN
## 13095 2012                        NaN
## 13096 2013                        NaN
## 13097 2014                        NaN
## 13098 2015                        NaN
## 13099 2016                        NaN
## 13100 2017                        NaN
## 13101 1966                1.000000000
## 13102 1967                1.000000000
## 13103 1968                1.000000000
## 13104 1969                1.000000000
## 13105 1970                        NaN
## 13106 1971                        NaN
## 13107 1972                        NaN
## 13108 1973                        NaN
## 13109 1974                0.181818182
## 13110 1975                0.321428571
## 13111 1976                0.000000000
## 13112 1977                0.000000000
## 13113 1978                0.376470588
## 13114 1979                        NaN
## 13115 1980                        NaN
## 13116 1981                0.333333333
## 13117 1982                0.125000000
## 13118 1983                0.333333333
## 13119 1984                0.333333333
## 13120 1985                        NaN
## 13121 1986                        NaN
## 13122 1987                0.000000000
## 13123 1988                0.000000000
## 13124 1989                        NaN
## 13125 1990                        NaN
## 13126 1991                        NaN
## 13127 1992                        NaN
## 13128 1993                        NaN
## 13129 1994                        NaN
## 13130 1995                        NaN
## 13131 1996                        NaN
## 13132 1997                        NaN
## 13133 1998                        NaN
## 13134 1999                        NaN
## 13135 2000                        NaN
## 13136 2001                        NaN
## 13137 2002                        NaN
## 13138 2003                        NaN
## 13139 2004                        NaN
## 13140 2005                        NaN
## 13141 2006                        NaN
## 13142 2007                        NaN
## 13143 2008                        NaN
## 13144 2009                        NaN
## 13145 2010                        NaN
## 13146 2011                        NaN
## 13147 2012                        NaN
## 13148 2013                        NaN
## 13149 2014                        NaN
## 13150 2015                        NaN
## 13151 2016                        NaN
## 13152 2017                        NaN
## 13153 1966                1.000000000
## 13154 1967                1.000000000
## 13155 1968                1.000000000
## 13156 1969                1.000000000
## 13157 1970                        NaN
## 13158 1971                        NaN
## 13159 1972                1.000000000
## 13160 1973                1.000000000
## 13161 1974                        NaN
## 13162 1975                        NaN
## 13163 1976                        NaN
## 13164 1977                        NaN
## 13165 1978                        NaN
## 13166 1979                        NaN
## 13167 1980                        NaN
## 13168 1981                        NaN
## 13169 1982                        NaN
## 13170 1983                        NaN
## 13171 1984                        NaN
## 13172 1985                        NaN
## 13173 1986                        NaN
## 13174 1987                        NaN
## 13175 1988                        NaN
## 13176 1989                        NaN
## 13177 1990                        NaN
## 13178 1991                        NaN
## 13179 1992                        NaN
## 13180 1993                        NaN
## 13181 1994                        NaN
## 13182 1995                        NaN
## 13183 1996                        NaN
## 13184 1997                        NaN
## 13185 1998                        NaN
## 13186 1999                        NaN
## 13187 2000                        NaN
## 13188 2001                        NaN
## 13189 2002                        NaN
## 13190 2003                        NaN
## 13191 2004                        NaN
## 13192 2005                        NaN
## 13193 2006                        NaN
## 13194 2007                        NaN
## 13195 2008                        NaN
## 13196 2009                        NaN
## 13197 2010                        NaN
## 13198 2011                        NaN
## 13199 2012                        NaN
## 13200 2013                        NaN
## 13201 2014                        NaN
## 13202 2015                        NaN
## 13203 2016                        NaN
## 13204 2017                        NaN
## 13205 1966                1.000000000
## 13206 1967                1.000000000
## 13207 1968                1.000000000
## 13208 1969                1.000000000
## 13209 1970                0.326086957
## 13210 1971                        NaN
## 13211 1972                        NaN
## 13212 1973                        NaN
## 13213 1974                        NaN
## 13214 1975                        NaN
## 13215 1976                        NaN
## 13216 1977                        NaN
## 13217 1978                        NaN
## 13218 1979                        NaN
## 13219 1980                        NaN
## 13220 1981                        NaN
## 13221 1982                        NaN
## 13222 1983                        NaN
## 13223 1984                        NaN
## 13224 1985                        NaN
## 13225 1986                        NaN
## 13226 1987                        NaN
## 13227 1988                        NaN
## 13228 1989                        NaN
## 13229 1990                        NaN
## 13230 1991                        NaN
## 13231 1992                        NaN
## 13232 1993                        NaN
## 13233 1994                        NaN
## 13234 1995                        NaN
## 13235 1996                        NaN
## 13236 1997                        NaN
## 13237 1998                        NaN
## 13238 1999                        NaN
## 13239 2000                        NaN
## 13240 2001                        NaN
## 13241 2002                        NaN
## 13242 2003                        NaN
## 13243 2004                        NaN
## 13244 2005                        NaN
## 13245 2006                        NaN
## 13246 2007                        NaN
## 13247 2008                        NaN
## 13248 2009                        NaN
## 13249 2010                        NaN
## 13250 2011                        NaN
## 13251 2012                        NaN
## 13252 2013                        NaN
## 13253 2014                        NaN
## 13254 2015                        NaN
## 13255 2016                        NaN
## 13256 2017                        NaN
## 13257 1966                1.000000000
## 13258 1967                1.000000000
## 13259 1968                1.000000000
## 13260 1969                1.000000000
## 13261 1970                        NaN
## 13262 1971                        NaN
## 13263 1972                        NaN
## 13264 1973                0.000000000
## 13265 1974                0.500000000
## 13266 1975                        NaN
## 13267 1976                        NaN
## 13268 1977                        NaN
## 13269 1978                0.500000000
## 13270 1979                        NaN
## 13271 1980                        NaN
## 13272 1981                        NaN
## 13273 1982                        NaN
## 13274 1983                        NaN
## 13275 1984                        NaN
## 13276 1985                0.352941176
## 13277 1986                        NaN
## 13278 1987                        NaN
## 13279 1988                        NaN
## 13280 1989                        NaN
## 13281 1990                0.000000000
## 13282 1991                0.000000000
## 13283 1992                        NaN
## 13284 1993                        NaN
## 13285 1994                        NaN
## 13286 1995                        NaN
## 13287 1996                        NaN
## 13288 1997                        NaN
## 13289 1998                        NaN
## 13290 1999                        NaN
## 13291 2000                        NaN
## 13292 2001                        NaN
## 13293 2002                        NaN
## 13294 2003                        NaN
## 13295 2004                        NaN
## 13296 2005                        NaN
## 13297 2006                        NaN
## 13298 2007                        NaN
## 13299 2008                        NaN
## 13300 2009                        NaN
## 13301 2010                        NaN
## 13302 2011                        NaN
## 13303 2012                        NaN
## 13304 2013                        NaN
## 13305 2014                        NaN
## 13306 2015                        NaN
## 13307 2016                        NaN
## 13308 2017                        NaN
## 13309 1966                        NaN
## 13310 1967                        NaN
## 13311 1968                        NaN
## 13312 1969                        NaN
## 13313 1970                        NaN
## 13314 1971                        NaN
## 13315 1972                        NaN
## 13316 1973                        NaN
## 13317 1974                        NaN
## 13318 1975                        NaN
## 13319 1976                        NaN
## 13320 1977                        NaN
## 13321 1978                        NaN
## 13322 1979                        NaN
## 13323 1980                        NaN
## 13324 1981                        NaN
## 13325 1982                        NaN
## 13326 1983                        NaN
## 13327 1984                        NaN
## 13328 1985                        NaN
## 13329 1986                        NaN
## 13330 1987                        NaN
## 13331 1988                        NaN
## 13332 1989                        NaN
## 13333 1990                        NaN
## 13334 1991                        NaN
## 13335 1992                        NaN
## 13336 1993                        NaN
## 13337 1994                        NaN
## 13338 1995                        NaN
## 13339 1996                        NaN
## 13340 1997                        NaN
## 13341 1998                        NaN
## 13342 1999                        NaN
## 13343 2000                        NaN
## 13344 2001                        NaN
## 13345 2002                        NaN
## 13346 2003                        NaN
## 13347 2004                        NaN
## 13348 2005                        NaN
## 13349 2006                        NaN
## 13350 2007                        NaN
## 13351 2008                        NaN
## 13352 2009                        NaN
## 13353 2010                        NaN
## 13354 2011                        NaN
## 13355 2012                        NaN
## 13356 2013                        NaN
## 13357 2014                        NaN
## 13358 2015                        NaN
## 13359 2016                        NaN
## 13360 2017                        NaN
## 13361 1966                        NaN
## 13362 1967                        NaN
## 13363 1968                        NaN
## 13364 1969                        NaN
## 13365 1970                        NaN
## 13366 1971                        NaN
## 13367 1972                        NaN
## 13368 1973                        NaN
## 13369 1974                        NaN
## 13370 1975                        NaN
## 13371 1976                        NaN
## 13372 1977                0.500000000
## 13373 1978                0.500000000
## 13374 1979                0.500000000
## 13375 1980                        NaN
## 13376 1981                0.500000000
## 13377 1982                        NaN
## 13378 1983                        NaN
## 13379 1984                        NaN
## 13380 1985                0.500000000
## 13381 1986                0.333333333
## 13382 1987                0.000000000
## 13383 1988                0.000000000
## 13384 1989                1.000000000
## 13385 1990                        NaN
## 13386 1991                        NaN
## 13387 1992                        NaN
## 13388 1993                        NaN
## 13389 1994                0.000000000
## 13390 1995                        NaN
## 13391 1996                        NaN
## 13392 1997                        NaN
## 13393 1998                        NaN
## 13394 1999                        NaN
## 13395 2000                        NaN
## 13396 2001                        NaN
## 13397 2002                        NaN
## 13398 2003                        NaN
## 13399 2004                        NaN
## 13400 2005                        NaN
## 13401 2006                        NaN
## 13402 2007                0.000000000
## 13403 2008                0.000000000
## 13404 2009                0.000000000
## 13405 2010                        NaN
## 13406 2011                        NaN
## 13407 2012                        NaN
## 13408 2013                        NaN
## 13409 2014                        NaN
## 13410 2015                        NaN
## 13411 2016                        NaN
## 13412 2017                        NaN
## 13413 1966                        NaN
## 13414 1967                        NaN
## 13415 1968                        NaN
## 13416 1969                        NaN
## 13417 1970                        NaN
## 13418 1971                        NaN
## 13419 1972                        NaN
## 13420 1973                        NaN
## 13421 1974                        NaN
## 13422 1975                        NaN
## 13423 1976                0.000000000
## 13424 1977                        NaN
## 13425 1978                0.000000000
## 13426 1979                1.000000000
## 13427 1980                0.000000000
## 13428 1981                0.000000000
## 13429 1982                        NaN
## 13430 1983                        NaN
## 13431 1984                        NaN
## 13432 1985                0.000000000
## 13433 1986                0.000000000
## 13434 1987                0.000000000
## 13435 1988                0.000000000
## 13436 1989                        NaN
## 13437 1990                        NaN
## 13438 1991                        NaN
## 13439 1992                        NaN
## 13440 1993                        NaN
## 13441 1994                1.000000000
## 13442 1995                        NaN
## 13443 1996                        NaN
## 13444 1997                        NaN
## 13445 1998                        NaN
## 13446 1999                        NaN
## 13447 2000                        NaN
## 13448 2001                        NaN
## 13449 2002                        NaN
## 13450 2003                        NaN
## 13451 2004                        NaN
## 13452 2005                        NaN
## 13453 2006                        NaN
## 13454 2007                        NaN
## 13455 2008                        NaN
## 13456 2009                        NaN
## 13457 2010                        NaN
## 13458 2011                        NaN
## 13459 2012                        NaN
## 13460 2013                        NaN
## 13461 2014                        NaN
## 13462 2015                        NaN
## 13463 2016                        NaN
## 13464 2017                        NaN
## 13465 1966                        NaN
## 13466 1967                        NaN
## 13467 1968                        NaN
## 13468 1969                        NaN
## 13469 1970                        NaN
## 13470 1971                        NaN
## 13471 1972                        NaN
## 13472 1973                        NaN
## 13473 1974                        NaN
## 13474 1975                0.000000000
## 13475 1976                        NaN
## 13476 1977                0.000000000
## 13477 1978                0.500000000
## 13478 1979                0.500000000
## 13479 1980                0.500000000
## 13480 1981                0.500000000
## 13481 1982                        NaN
## 13482 1983                        NaN
## 13483 1984                        NaN
## 13484 1985                0.666666667
## 13485 1986                0.500000000
## 13486 1987                0.500000000
## 13487 1988                0.500000000
## 13488 1989                0.500000000
## 13489 1990                        NaN
## 13490 1991                        NaN
## 13491 1992                        NaN
## 13492 1993                        NaN
## 13493 1994                        NaN
## 13494 1995                        NaN
## 13495 1996                        NaN
## 13496 1997                        NaN
## 13497 1998                        NaN
## 13498 1999                        NaN
## 13499 2000                        NaN
## 13500 2001                        NaN
## 13501 2002                        NaN
## 13502 2003                        NaN
## 13503 2004                        NaN
## 13504 2005                        NaN
## 13505 2006                1.000000000
## 13506 2007                        NaN
## 13507 2008                        NaN
## 13508 2009                1.000000000
## 13509 2010                        NaN
## 13510 2011                        NaN
## 13511 2012                        NaN
## 13512 2013                        NaN
## 13513 2014                        NaN
## 13514 2015                        NaN
## 13515 2016                        NaN
## 13516 2017                        NaN
## 13517 1966                        NaN
## 13518 1967                        NaN
## 13519 1968                        NaN
## 13520 1969                        NaN
## 13521 1970                        NaN
## 13522 1971                        NaN
## 13523 1972                        NaN
## 13524 1973                        NaN
## 13525 1974                        NaN
## 13526 1975                        NaN
## 13527 1976                        NaN
## 13528 1977                        NaN
## 13529 1978                        NaN
## 13530 1979                        NaN
## 13531 1980                        NaN
## 13532 1981                        NaN
## 13533 1982                        NaN
## 13534 1983                        NaN
## 13535 1984                        NaN
## 13536 1985                0.000000000
## 13537 1986                        NaN
## 13538 1987                0.000000000
## 13539 1988                        NaN
## 13540 1989                        NaN
## 13541 1990                        NaN
## 13542 1991                        NaN
## 13543 1992                        NaN
## 13544 1993                        NaN
## 13545 1994                        NaN
## 13546 1995                        NaN
## 13547 1996                        NaN
## 13548 1997                        NaN
## 13549 1998                        NaN
## 13550 1999                        NaN
## 13551 2000                        NaN
## 13552 2001                        NaN
## 13553 2002                        NaN
## 13554 2003                        NaN
## 13555 2004                        NaN
## 13556 2005                        NaN
## 13557 2006                0.000000000
## 13558 2007                1.000000000
## 13559 2008                0.000000000
## 13560 2009                1.000000000
## 13561 2010                        NaN
## 13562 2011                        NaN
## 13563 2012                1.000000000
## 13564 2013                        NaN
## 13565 2014                        NaN
## 13566 2015                        NaN
## 13567 2016                        NaN
## 13568 2017                        NaN
## 13569 1970                        NaN
## 13570 1971                        NaN
## 13571 1972                        NaN
## 13572 1973                        NaN
## 13573 1974                        NaN
## 13574 1975                        NaN
## 13575 1976                        NaN
## 13576 1977                        NaN
## 13577 1978                        NaN
## 13578 1979                        NaN
## 13579 1980                        NaN
## 13580 1981                        NaN
## 13581 1982                        NaN
## 13582 1983                        NaN
## 13583 1984                        NaN
## 13584 1985                0.000000000
## 13585 1986                0.000000000
## 13586 1987                0.000000000
## 13587 1988                        Inf
## 13588 1989                        NaN
## 13589 1990                        NaN
## 13590 1991                        NaN
## 13591 1992                        NaN
## 13592 1993                        NaN
## 13593 1994                1.000000000
## 13594 1995                        NaN
## 13595 1996                        NaN
## 13596 1997                        NaN
## 13597 1998                        NaN
## 13598 1999                        NaN
## 13599 2000                        NaN
## 13600 2001                0.000000000
## 13601 2002                        NaN
## 13602 2003                1.000000000
## 13603 2004                        NaN
## 13604 2005                        NaN
## 13605 2006                        NaN
## 13606 2007                        NaN
## 13607 2008                        NaN
## 13608 2009                        NaN
## 13609 2010                        NaN
## 13610 2011                        NaN
## 13611 2012                        NaN
## 13612 2013                        NaN
## 13613 2014                        NaN
## 13614 2015                        NaN
## 13615 2016                        NaN
## 13616 2017                        NaN
## 13617 1966                0.362903226
## 13618 1967                0.362903226
## 13619 1968                0.394736842
## 13620 1969                0.361842105
## 13621 1970                0.552631579
## 13622 1971                0.513157895
## 13623 1972                0.401315789
## 13624 1973                0.404109589
## 13625 1974                0.388888889
## 13626 1975                0.450479233
## 13627 1976                0.449494949
## 13628 1977                0.445652174
## 13629 1978                0.451086957
## 13630 1979                0.451086957
## 13631 1980                0.451086957
## 13632 1981                0.448598131
## 13633 1982                        NaN
## 13634 1983                        NaN
## 13635 1984                        NaN
## 13636 1985                0.514492754
## 13637 1986                0.510309278
## 13638 1987                0.510040161
## 13639 1988                0.509852217
## 13640 1989                0.507936508
## 13641 1990                0.508849558
## 13642 1991                0.509727626
## 13643 1992                0.509274874
## 13644 1993                0.509124088
## 13645 1994                0.508733624
## 13646 1995                0.508256881
## 13647 1996                0.508515815
## 13648 1997                0.510416667
## 13649 1998                0.509174312
## 13650 1999                0.509881423
## 13651 2000                0.521739130
## 13652 2001                0.508650519
## 13653 2002                0.509727626
## 13654 2003                0.511848341
## 13655 2004                0.511718750
## 13656 2005                0.510204082
## 13657 2006                0.511111111
## 13658 2007                0.508143322
## 13659 2008                0.510917031
## 13660 2009                0.507936508
## 13661 2010                0.509090909
## 13662 2011                0.785714286
## 13663 2012                0.785714286
## 13664 2013                        NaN
## 13665 2014                        NaN
## 13666 2015                        NaN
## 13667 2016                        NaN
## 13668 2017                        NaN
## 13669 1966                        NaN
## 13670 1967                        NaN
## 13671 1968                        NaN
## 13672 1969                        NaN
## 13673 1970                        NaN
## 13674 1971                        NaN
## 13675 1972                        NaN
## 13676 1973                        NaN
## 13677 1974                        NaN
## 13678 1975                        NaN
## 13679 1976                        NaN
## 13680 1977                        NaN
## 13681 1978                        NaN
## 13682 1979                        NaN
## 13683 1980                        NaN
## 13684 1981                        NaN
## 13685 1982                        NaN
## 13686 1983                        NaN
## 13687 1984                        NaN
## 13688 1985                        NaN
## 13689 1986                        NaN
## 13690 1987                        NaN
## 13691 1988                        NaN
## 13692 1989                0.500000000
## 13693 1990                        NaN
## 13694 1991                        NaN
## 13695 1992                        NaN
## 13696 1993                        NaN
## 13697 1994                        NaN
## 13698 1995                        NaN
## 13699 1996                        NaN
## 13700 1997                        NaN
## 13701 1998                        NaN
## 13702 1999                        NaN
## 13703 2000                        NaN
## 13704 2001                        NaN
## 13705 2002                        NaN
## 13706 2003                        NaN
## 13707 2004                        NaN
## 13708 2005                        NaN
## 13709 2006                        NaN
## 13710 2007                        NaN
## 13711 2008                        NaN
## 13712 2009                        NaN
## 13713 2010                        NaN
## 13714 2011                        NaN
## 13715 2012                        NaN
## 13716 2013                        NaN
## 13717 2014                        NaN
## 13718 2015                        NaN
## 13719 2016                        NaN
## 13720 2017                        NaN
## 13721 1966                        NaN
## 13722 1967                        NaN
## 13723 1968                        NaN
## 13724 1969                        NaN
## 13725 1970                        NaN
## 13726 1971                        NaN
## 13727 1972                        NaN
## 13728 1973                        NaN
## 13729 1974                        NaN
## 13730 1975                0.500000000
## 13731 1976                        NaN
## 13732 1977                        NaN
## 13733 1978                        NaN
## 13734 1979                        NaN
## 13735 1980                1.000000000
## 13736 1981                0.000000000
## 13737 1982                        NaN
## 13738 1983                        NaN
## 13739 1984                        NaN
## 13740 1985                0.000000000
## 13741 1986                0.000000000
## 13742 1987                0.000000000
## 13743 1988                0.000000000
## 13744 1989                        NaN
## 13745 1990                        NaN
## 13746 1991                0.000000000
## 13747 1992                        NaN
## 13748 1993                        NaN
## 13749 1994                        NaN
## 13750 1995                        NaN
## 13751 1996                        NaN
## 13752 1997                        NaN
## 13753 1998                        NaN
## 13754 1999                        NaN
## 13755 2000                        NaN
## 13756 2001                        NaN
## 13757 2002                        NaN
## 13758 2003                        NaN
## 13759 2004                        NaN
## 13760 2005                        NaN
## 13761 2006                        NaN
## 13762 2007                        NaN
## 13763 2008                        NaN
## 13764 2009                        NaN
## 13765 2010                        NaN
## 13766 2011                        NaN
## 13767 2012                        NaN
## 13768 2013                        NaN
## 13769 2014                        NaN
## 13770 2015                        NaN
## 13771 2016                        NaN
## 13772 2017                        NaN
## 13773 1966                        NaN
## 13774 1967                        NaN
## 13775 1968                        NaN
## 13776 1969                        NaN
## 13777 1970                        NaN
## 13778 1971                        NaN
## 13779 1972                        NaN
## 13780 1973                        NaN
## 13781 1974                        NaN
## 13782 1975                        NaN
## 13783 1976                        NaN
## 13784 1977                        NaN
## 13785 1978                        NaN
## 13786 1979                        NaN
## 13787 1980                        NaN
## 13788 1981                        NaN
## 13789 1982                        NaN
## 13790 1983                        NaN
## 13791 1984                        NaN
## 13792 1985                        NaN
## 13793 1986                        NaN
## 13794 1987                        NaN
## 13795 1988                        NaN
## 13796 1989                        NaN
## 13797 1990                        NaN
## 13798 1991                        NaN
## 13799 1992                        NaN
## 13800 1993                        NaN
## 13801 1994                        NaN
## 13802 1995                        NaN
## 13803 1996                        NaN
## 13804 1997                        NaN
## 13805 1998                        NaN
## 13806 1999                        NaN
## 13807 2000                        NaN
## 13808 2001                        NaN
## 13809 2002                        NaN
## 13810 2003                        NaN
## 13811 2004                        NaN
## 13812 2005                        NaN
## 13813 2006                        NaN
## 13814 2007                        NaN
## 13815 2008                        NaN
## 13816 2009                        NaN
## 13817 2010                        NaN
## 13818 2011                        NaN
## 13819 2012                        NaN
## 13820 2013                        NaN
## 13821 2014                        NaN
## 13822 2015                        NaN
## 13823 2016                        NaN
## 13824 2017                        NaN
## 13825 1966                        NaN
## 13826 1967                        NaN
## 13827 1968                        NaN
## 13828 1969                        NaN
## 13829 1970                        NaN
## 13830 1971                0.000000000
## 13831 1972                1.000000000
## 13832 1973                0.000000000
## 13833 1974                0.000000000
## 13834 1975                0.000000000
## 13835 1976                1.500000000
## 13836 1977                1.000000000
## 13837 1978                0.500000000
## 13838 1979                0.666666667
## 13839 1980                1.000000000
## 13840 1981                0.750000000
## 13841 1982                0.666666667
## 13842 1983                1.000000000
## 13843 1984                0.833333333
## 13844 1985                1.000000000
## 13845 1986                0.800000000
## 13846 1987                0.833333333
## 13847 1988                0.786407767
## 13848 1989                        NaN
## 13849 1990                        NaN
## 13850 1991                        NaN
## 13851 1992                        NaN
## 13852 1993                        NaN
## 13853 1994                        NaN
## 13854 1995                        NaN
## 13855 1996                        NaN
## 13856 1997                        NaN
## 13857 1998                        NaN
## 13858 1999                        NaN
## 13859 2000                        NaN
## 13860 2001                        NaN
## 13861 2002                        NaN
## 13862 2003                        NaN
## 13863 2004                        NaN
## 13864 2005                        NaN
## 13865 2006                        NaN
## 13866 2007                        NaN
## 13867 2008                        NaN
## 13868 2009                        NaN
## 13869 2010                        NaN
## 13870 2011                        NaN
## 13871 2012                        NaN
## 13872 2013                        NaN
## 13873 2014                        NaN
## 13874 2015                        NaN
## 13875 2016                        NaN
## 13876 2017                        NaN
## 13877 1966                        NaN
## 13878 1967                3.000000000
## 13879 1968                3.500000000
## 13880 1969                3.500000000
## 13881 1970                2.500000000
## 13882 1971                3.000000000
## 13883 1972                3.000000000
## 13884 1973                0.916666667
## 13885 1974                0.571428571
## 13886 1975                0.421052632
## 13887 1976                0.252873563
## 13888 1977                1.636363636
## 13889 1978                1.000000000
## 13890 1979                0.398305085
## 13891 1980                0.857142857
## 13892 1981                0.944444444
## 13893 1982                0.841726619
## 13894 1983                0.836363636
## 13895 1984                0.843137255
## 13896 1985                0.839622642
## 13897 1986                0.836538462
## 13898 1987                0.731958763
## 13899 1988                        NaN
## 13900 1989                0.760000000
## 13901 1990                0.775510204
## 13902 1991                0.777777778
## 13903 1992                0.782051282
## 13904 1993                0.654761905
## 13905 1994                0.712328767
## 13906 1995                0.506493506
## 13907 1996                0.479452055
## 13908 1997                0.387096774
## 13909 1998                0.449541284
## 13910 1999                0.596153846
## 13911 2000                0.514851485
## 13912 2001                0.742268041
## 13913 2002                0.473684211
## 13914 2003                0.625000000
## 13915 2004                0.536082474
## 13916 2005                0.569767442
## 13917 2006                0.569620253
## 13918 2007                0.589041096
## 13919 2008                0.593220339
## 13920 2009                0.600000000
## 13921 2010                0.606060606
## 13922 2011                0.615384615
## 13923 2012                        NaN
## 13924 2013                        NaN
## 13925 2014                0.625000000
## 13926 2015                0.600000000
## 13927 2016                0.600000000
## 13928 2017                0.636363636
## 13929 1966                0.727272727
## 13930 1967                1.000000000
## 13931 1968                0.400000000
## 13932 1969                0.333333333
## 13933 1970                0.321428571
## 13934 1971                0.176470588
## 13935 1972                0.272727273
## 13936 1973                0.310344828
## 13937 1974                0.205128205
## 13938 1975                0.343750000
## 13939 1976                0.267857143
## 13940 1977                0.468085106
## 13941 1978                0.447761194
## 13942 1979                0.401785714
## 13943 1980                0.438016529
## 13944 1981                1.000000000
## 13945 1982                0.426086957
## 13946 1983                1.038461538
## 13947 1984                1.509259259
## 13948 1985                1.525641026
## 13949 1986                1.519480519
## 13950 1987                0.412500000
## 13951 1988                0.728571429
## 13952 1989                0.892307692
## 13953 1990                0.815384615
## 13954 1991                0.803030303
## 13955 1992                0.731343284
## 13956 1993                0.750000000
## 13957 1994                0.750000000
## 13958 1995                0.647058824
## 13959 1996                0.527777778
## 13960 1997                0.433333333
## 13961 1998                0.466666667
## 13962 1999                0.483870968
## 13963 2000                0.375000000
## 13964 2001                        NaN
## 13965 2002                0.400000000
## 13966 2003                0.375000000
## 13967 2004                0.421052632
## 13968 2005                0.461538462
## 13969 2006                0.500000000
## 13970 2007                0.421052632
## 13971 2008                0.461538462
## 13972 2009                0.333333333
## 13973 2010                0.500000000
## 13974 2011                0.375000000
## 13975 2012                        NaN
## 13976 2013                        NaN
## 13977 2014                0.500000000
## 13978 2015                        NaN
## 13979 2016                        NaN
## 13980 2017                        NaN
## 13981 1966                        NaN
## 13982 1967                        NaN
## 13983 1968                1.200000000
## 13984 1969                0.833333333
## 13985 1970                1.000000000
## 13986 1971                1.000000000
## 13987 1972                1.333333333
## 13988 1973                1.000000000
## 13989 1974                1.000000000
## 13990 1975                1.000000000
## 13991 1976                0.815789474
## 13992 1977                0.814814815
## 13993 1978                0.750000000
## 13994 1979                0.307692308
## 13995 1980                0.750000000
## 13996 1981                        NaN
## 13997 1982                        NaN
## 13998 1983                        NaN
## 13999 1984                        NaN
## 14000 1985                        NaN
## 14001 1986                        NaN
## 14002 1987                        NaN
## 14003 1988                        NaN
## 14004 1989                        NaN
## 14005 1990                        NaN
## 14006 1991                        NaN
## 14007 1992                        NaN
## 14008 1993                        NaN
## 14009 1994                        NaN
## 14010 1995                        NaN
## 14011 1996                        NaN
## 14012 1997                        NaN
## 14013 1998                        NaN
## 14014 1999                        NaN
## 14015 2000                        NaN
## 14016 2001                        NaN
## 14017 2002                        NaN
## 14018 2003                        NaN
## 14019 2004                        NaN
## 14020 2005                        NaN
## 14021 2006                        NaN
## 14022 2007                        NaN
## 14023 2008                        NaN
## 14024 2009                        NaN
## 14025 2010                        NaN
## 14026 2011                        NaN
## 14027 2012                        NaN
## 14028 2013                        NaN
## 14029 2014                        NaN
## 14030 2015                        NaN
## 14031 2016                        NaN
## 14032 2017                        NaN
## 14033 1966                        NaN
## 14034 1967                1.050000000
## 14035 1968                0.648936170
## 14036 1969                0.526315789
## 14037 1970                0.468750000
## 14038 1971                0.458100559
## 14039 1972                0.446700508
## 14040 1973                0.498269896
## 14041 1974                0.355400697
## 14042 1975                0.764044944
## 14043 1976                0.557746479
## 14044 1977                0.533653846
## 14045 1978                0.652956298
## 14046 1979                0.598503741
## 14047 1980                1.090047393
## 14048 1981                1.151057402
## 14049 1982                0.649202733
## 14050 1983                0.731123389
## 14051 1984                0.655577299
## 14052 1985                0.655263158
## 14053 1986                0.655172414
## 14054 1987                0.665775401
## 14055 1988                0.614678899
## 14056 1989                0.620192308
## 14057 1990                0.800000000
## 14058 1991                0.549253731
## 14059 1992                0.819672131
## 14060 1993                0.792838875
## 14061 1994                0.504043127
## 14062 1995                0.474093264
## 14063 1996                0.413612565
## 14064 1997                0.445255474
## 14065 1998                0.455223881
## 14066 1999                0.494382022
## 14067 2000                0.484732824
## 14068 2001                0.482889734
## 14069 2002                0.465201465
## 14070 2003                0.475609756
## 14071 2004                0.485477178
## 14072 2005                0.570212766
## 14073 2006                0.606557377
## 14074 2007                0.616326531
## 14075 2008                0.621513944
## 14076 2009                0.606425703
## 14077 2010                0.632508834
## 14078 2011                0.642140468
## 14079 2012                        NaN
## 14080 2013                        NaN
## 14081 2014                0.619047619
## 14082 2015                0.617760618
## 14083 2016                0.619469027
## 14084 2017                0.607758621
## 14085 1966                0.274509804
## 14086 1967                0.538461538
## 14087 1968                0.700000000
## 14088 1969                0.565573770
## 14089 1970                0.584415584
## 14090 1971                0.534482759
## 14091 1972                0.559210526
## 14092 1973                0.472361809
## 14093 1974                0.519841270
## 14094 1975                0.696202532
## 14095 1976                0.632812500
## 14096 1977                0.623413258
## 14097 1978                0.653579677
## 14098 1979                0.467836257
## 14099 1980                0.545918367
## 14100 1981                0.900362319
## 14101 1982                0.799727520
## 14102 1983                1.069209040
## 14103 1984                0.935483871
## 14104 1985                0.945086705
## 14105 1986                0.938080495
## 14106 1987                0.689710611
## 14107 1988                0.819277108
## 14108 1989                0.544794189
## 14109 1990                0.573333333
## 14110 1991                0.681528662
## 14111 1992                0.688172043
## 14112 1993                0.615000000
## 14113 1994                0.376681614
## 14114 1995                0.448888889
## 14115 1996                0.408163265
## 14116 1997                0.366492147
## 14117 1998                0.335365854
## 14118 1999                0.550000000
## 14119 2000                0.391566265
## 14120 2001                0.666666667
## 14121 2002                0.914285714
## 14122 2003                0.800000000
## 14123 2004                0.606060606
## 14124 2005                0.628571429
## 14125 2006                0.750000000
## 14126 2007                0.806451613
## 14127 2008                0.794871795
## 14128 2009                0.680000000
## 14129 2010                0.633802817
## 14130 2011                0.758620690
## 14131 2012                        NaN
## 14132 2013                        NaN
## 14133 2014                0.716981132
## 14134 2015                0.700000000
## 14135 2016                0.736842105
## 14136 2017                0.741935484
## 14137 1966                0.941176471
## 14138 1967                0.940000000
## 14139 1968                1.182795699
## 14140 1969                0.955752212
## 14141 1970                1.000000000
## 14142 1971                0.600000000
## 14143 1972                0.662921348
## 14144 1973                0.386363636
## 14145 1974                0.395348837
## 14146 1975                0.820895522
## 14147 1976                0.205882353
## 14148 1977                0.648648649
## 14149 1978                0.644736842
## 14150 1979                0.513157895
## 14151 1980                0.703703704
## 14152 1981                0.797619048
## 14153 1982                0.508064516
## 14154 1983                0.296969697
## 14155 1984                0.917647059
## 14156 1985                0.917355372
## 14157 1986                0.923076923
## 14158 1987                0.867647059
## 14159 1988                0.985294118
## 14160 1989                1.061224490
## 14161 1990                1.000000000
## 14162 1991                0.861538462
## 14163 1992                0.750000000
## 14164 1993                0.890625000
## 14165 1994                0.898305085
## 14166 1995                1.000000000
## 14167 1996                0.509090909
## 14168 1997                0.595744681
## 14169 1998                0.512820513
## 14170 1999                0.555555556
## 14171 2000                0.558139535
## 14172 2001                0.564102564
## 14173 2002                0.538461538
## 14174 2003                0.551724138
## 14175 2004                0.531250000
## 14176 2005                0.555555556
## 14177 2006                0.615384615
## 14178 2007                0.636363636
## 14179 2008                0.642857143
## 14180 2009                0.650000000
## 14181 2010                0.625000000
## 14182 2011                0.600000000
## 14183 2012                        NaN
## 14184 2013                        NaN
## 14185 2014                0.727272727
## 14186 2015                0.714285714
## 14187 2016                0.700000000
## 14188 2017                0.666666667
## 14189 1966                1.192787795
## 14190 1967                0.719346049
## 14191 1968                0.805646037
## 14192 1969                0.648479428
## 14193 1970                0.617164899
## 14194 1971                0.579258010
## 14195 1972                0.652474108
## 14196 1973                0.857495881
## 14197 1974                0.668893838
## 14198 1975                0.621726479
## 14199 1976                0.629262244
## 14200 1977                0.742338962
## 14201 1978                0.819063927
## 14202 1979                0.574488802
## 14203 1980                0.645449137
## 14204 1981                1.000000000
## 14205 1982                0.910273973
## 14206 1983                1.220157255
## 14207 1984                1.176882662
## 14208 1985                1.177020708
## 14209 1986                1.176811594
## 14210 1987                1.004457652
## 14211 1988                1.165335463
## 14212 1989                1.004145937
## 14213 1990                0.819932998
## 14214 1991                0.719594595
## 14215 1992                0.623226950
## 14216 1993                0.613953488
## 14217 1994                0.633107454
## 14218 1995                0.785714286
## 14219 1996                0.726427623
## 14220 1997                0.604868914
## 14221 1998                0.601503759
## 14222 1999                0.697674419
## 14223 2000                0.716814159
## 14224 2001                0.621505376
## 14225 2002                0.588688946
## 14226 2003                0.633405640
## 14227 2004                0.604591837
## 14228 2005                0.626016260
## 14229 2006                0.632022472
## 14230 2007                0.627118644
## 14231 2008                0.632947977
## 14232 2009                0.689552239
## 14233 2010                0.648464164
## 14234 2011                0.622950820
## 14235 2012                        NaN
## 14236 2013                        NaN
## 14237 2014                0.625899281
## 14238 2015                0.626666667
## 14239 2016                0.647058824
## 14240 2017                0.633802817
## 14241 1966                        NaN
## 14242 1967                0.666666667
## 14243 1968                0.714285714
## 14244 1969                0.588235294
## 14245 1970                0.560000000
## 14246 1971                0.322580645
## 14247 1972                0.381578947
## 14248 1973                0.556701031
## 14249 1974                0.495652174
## 14250 1975                0.613636364
## 14251 1976                0.564885496
## 14252 1977                0.568000000
## 14253 1978                0.666666667
## 14254 1979                0.547169811
## 14255 1980                0.656250000
## 14256 1981                0.902439024
## 14257 1982                1.159722222
## 14258 1983                0.781250000
## 14259 1984                0.916666667
## 14260 1985                0.916030534
## 14261 1986                0.913043478
## 14262 1987                0.800000000
## 14263 1988                0.923076923
## 14264 1989                1.000000000
## 14265 1990                0.990196078
## 14266 1991                0.858585859
## 14267 1992                0.812500000
## 14268 1993                0.802469136
## 14269 1994                0.702702703
## 14270 1995                0.792682927
## 14271 1996                0.416666667
## 14272 1997                0.523076923
## 14273 1998                0.548387097
## 14274 1999                0.551020408
## 14275 2000                0.545454545
## 14276 2001                0.531250000
## 14277 2002                0.483870968
## 14278 2003                0.470588235
## 14279 2004                0.541666667
## 14280 2005                0.571428571
## 14281 2006                0.590909091
## 14282 2007                0.600000000
## 14283 2008                0.500000000
## 14284 2009                0.500000000
## 14285 2010                0.500000000
## 14286 2011                1.000000000
## 14287 2012                        NaN
## 14288 2013                        NaN
## 14289 2014                1.000000000
## 14290 2015                        NaN
## 14291 2016                        NaN
## 14292 2017                        NaN
## 14293 1966                0.600000000
## 14294 1967                0.666666667
## 14295 1968                0.625000000
## 14296 1969                0.487179487
## 14297 1970                0.491525424
## 14298 1971                0.125000000
## 14299 1972                0.147058824
## 14300 1973                0.389830508
## 14301 1974                0.250000000
## 14302 1975                0.764705882
## 14303 1976                0.229885057
## 14304 1977                0.527397260
## 14305 1978                0.600000000
## 14306 1979                0.125000000
## 14307 1980                0.052631579
## 14308 1981                0.894736842
## 14309 1982                0.791907514
## 14310 1983                0.738372093
## 14311 1984                0.743750000
## 14312 1985                0.745098039
## 14313 1986                0.746666667
## 14314 1987                0.552000000
## 14315 1988                1.021897810
## 14316 1989                0.985074627
## 14317 1990                1.000000000
## 14318 1991                0.700000000
## 14319 1992                        NaN
## 14320 1993                0.831325301
## 14321 1994                1.062500000
## 14322 1995                0.965909091
## 14323 1996                0.382022472
## 14324 1997                0.419753086
## 14325 1998                0.428571429
## 14326 1999                0.432835821
## 14327 2000                0.419354839
## 14328 2001                0.415094340
## 14329 2002                0.400000000
## 14330 2003                0.391304348
## 14331 2004                0.395833333
## 14332 2005                0.400000000
## 14333 2006                0.425531915
## 14334 2007                0.465116279
## 14335 2008                0.487179487
## 14336 2009                0.461538462
## 14337 2010                0.475000000
## 14338 2011                0.487804878
## 14339 2012                        NaN
## 14340 2013                        NaN
## 14341 2014                0.550000000
## 14342 2015                0.500000000
## 14343 2016                0.571428571
## 14344 2017                0.714285714
## 14345 1966                        NaN
## 14346 1967                        NaN
## 14347 1968                        NaN
## 14348 1969                        NaN
## 14349 1970                        Inf
## 14350 1971                1.000000000
## 14351 1972                1.000000000
## 14352 1973                0.333333333
## 14353 1974                0.500000000
## 14354 1975                0.571428571
## 14355 1976                0.208333333
## 14356 1977                0.296296296
## 14357 1978                0.625000000
## 14358 1979                0.547619048
## 14359 1980                0.666666667
## 14360 1981                1.000000000
## 14361 1982                0.697916667
## 14362 1983                0.691358025
## 14363 1984                1.050000000
## 14364 1985                1.083333333
## 14365 1986                1.070422535
## 14366 1987                0.698795181
## 14367 1988                1.000000000
## 14368 1989                0.947368421
## 14369 1990                0.882352941
## 14370 1991                0.500000000
## 14371 1992                0.500000000
## 14372 1993                0.500000000
## 14373 1994                0.367346939
## 14374 1995                0.750000000
## 14375 1996                0.840000000
## 14376 1997                0.687500000
## 14377 1998                0.722222222
## 14378 1999                0.625000000
## 14379 2000                0.705882353
## 14380 2001                0.500000000
## 14381 2002                0.750000000
## 14382 2003                0.384615385
## 14383 2004                0.400000000
## 14384 2005                1.000000000
## 14385 2006                1.000000000
## 14386 2007                1.000000000
## 14387 2008                1.000000000
## 14388 2009                1.000000000
## 14389 2010                0.400000000
## 14390 2011                0.400000000
## 14391 2012                        NaN
## 14392 2013                        NaN
## 14393 2014                0.600000000
## 14394 2015                0.600000000
## 14395 2016                0.600000000
## 14396 2017                0.600000000
## 14397 1966                2.111111111
## 14398 1967                2.111111111
## 14399 1968                2.437500000
## 14400 1969                1.900000000
## 14401 1970                1.869565217
## 14402 1971                1.800000000
## 14403 1972                1.377049180
## 14404 1973                1.270833333
## 14405 1974                0.655172414
## 14406 1975                1.000000000
## 14407 1976                0.722222222
## 14408 1977                0.638297872
## 14409 1978                1.264705882
## 14410 1979                0.181818182
## 14411 1980                0.437500000
## 14412 1981                1.000000000
## 14413 1982                0.978723404
## 14414 1983                1.320512821
## 14415 1984                0.894117647
## 14416 1985                0.882978723
## 14417 1986                0.880434783
## 14418 1987                0.704545455
## 14419 1988                0.958762887
## 14420 1989                0.607594937
## 14421 1990                1.000000000
## 14422 1991                0.642857143
## 14423 1992                0.696428571
## 14424 1993                0.661016949
## 14425 1994                0.720000000
## 14426 1995                1.023255814
## 14427 1996                0.826086957
## 14428 1997                0.562500000
## 14429 1998                0.605263158
## 14430 1999                0.538461538
## 14431 2000                0.552631579
## 14432 2001                0.525000000
## 14433 2002                0.530120482
## 14434 2003                0.525000000
## 14435 2004                0.589743590
## 14436 2005                0.604651163
## 14437 2006                0.714285714
## 14438 2007                0.760000000
## 14439 2008                0.818181818
## 14440 2009                0.500000000
## 14441 2010                1.000000000
## 14442 2011                1.000000000
## 14443 2012                        NaN
## 14444 2013                        NaN
## 14445 2014                1.000000000
## 14446 2015                1.000000000
## 14447 2016                1.000000000
## 14448 2017                1.000000000
## 14449 1966                0.307692308
## 14450 1967                1.074074074
## 14451 1968                0.717171717
## 14452 1969                0.570247934
## 14453 1970                0.496969697
## 14454 1971                0.496969697
## 14455 1972                0.508287293
## 14456 1973                1.000000000
## 14457 1974                0.600000000
## 14458 1975                0.562500000
## 14459 1976                0.414383562
## 14460 1977                0.649350649
## 14461 1978                0.624390244
## 14462 1979                0.471428571
## 14463 1980                0.613333333
## 14464 1981                0.901287554
## 14465 1982                0.529914530
## 14466 1983                0.661691542
## 14467 1984                0.506493506
## 14468 1985                0.508403361
## 14469 1986                0.510729614
## 14470 1987                0.370833333
## 14471 1988                0.961373391
## 14472 1989                0.386554622
## 14473 1990                0.913934426
## 14474 1991                0.669421488
## 14475 1992                0.833333333
## 14476 1993                0.772925764
## 14477 1994                0.666666667
## 14478 1995                0.954022989
## 14479 1996                0.830000000
## 14480 1997                0.806451613
## 14481 1998                0.774193548
## 14482 1999                0.719512195
## 14483 2000                0.676767677
## 14484 2001                0.524271845
## 14485 2002                0.352941176
## 14486 2003                0.614457831
## 14487 2004                0.493670886
## 14488 2005                0.676767677
## 14489 2006                0.580645161
## 14490 2007                0.621052632
## 14491 2008                0.645161290
## 14492 2009                0.638297872
## 14493 2010                0.460431655
## 14494 2011                0.627272727
## 14495 2012                        NaN
## 14496 2013                        NaN
## 14497 2014                0.619631902
## 14498 2015                0.619834711
## 14499 2016                0.583333333
## 14500 2017                0.634920635
## 14501 1966                        NaN
## 14502 1967                        NaN
## 14503 1968                        NaN
## 14504 1969                        NaN
## 14505 1970                        NaN
## 14506 1971                        NaN
## 14507 1972                        NaN
## 14508 1973                        NaN
## 14509 1974                        NaN
## 14510 1975                        NaN
## 14511 1976                        NaN
## 14512 1977                        NaN
## 14513 1978                        NaN
## 14514 1979                        NaN
## 14515 1980                        NaN
## 14516 1981                        NaN
## 14517 1982                        NaN
## 14518 1983                        NaN
## 14519 1984                        NaN
## 14520 1985                        NaN
## 14521 1986                        NaN
## 14522 1987                        NaN
## 14523 1988                        NaN
## 14524 1989                        NaN
## 14525 1990                        NaN
## 14526 1991                        NaN
## 14527 1992                        NaN
## 14528 1993                        NaN
## 14529 1994                        NaN
## 14530 1995                        NaN
## 14531 1996                        NaN
## 14532 1997                        NaN
## 14533 1998                        NaN
## 14534 1999                        NaN
## 14535 2000                        NaN
## 14536 2001                        NaN
## 14537 2002                        NaN
## 14538 2003                        NaN
## 14539 2004                        NaN
## 14540 2005                        NaN
## 14541 2006                        NaN
## 14542 2007                        NaN
## 14543 2008                        NaN
## 14544 2009                        NaN
## 14545 2010                        NaN
## 14546 2011                        NaN
## 14547 2012                        NaN
## 14548 2013                        NaN
## 14549 2014                        NaN
## 14550 2015                        NaN
## 14551 2016                        NaN
## 14552 2017                        NaN
## 14553 1966                        NaN
## 14554 1967                        NaN
## 14555 1968                        NaN
## 14556 1969                        NaN
## 14557 1970                        NaN
## 14558 1971                        NaN
## 14559 1972                        NaN
## 14560 1973                        NaN
## 14561 1974                        NaN
## 14562 1975                        NaN
## 14563 1976                        NaN
## 14564 1977                        NaN
## 14565 1978                        NaN
## 14566 1979                        NaN
## 14567 1980                        NaN
## 14568 1981                        NaN
## 14569 1982                        NaN
## 14570 1983                        NaN
## 14571 1984                        NaN
## 14572 1985                        NaN
## 14573 1986                        NaN
## 14574 1987                        NaN
## 14575 1988                        NaN
## 14576 1989                        NaN
## 14577 1990                        NaN
## 14578 1991                        NaN
## 14579 1992                        NaN
## 14580 1993                        NaN
## 14581 1994                        NaN
## 14582 1995                        NaN
## 14583 1996                        NaN
## 14584 1997                        NaN
## 14585 1998                        NaN
## 14586 1999                        NaN
## 14587 2000                0.333333333
## 14588 2001                0.000000000
## 14589 2002                1.000000000
## 14590 2003                1.000000000
## 14591 2004                1.000000000
## 14592 2005                1.000000000
## 14593 2006                1.000000000
## 14594 2007                        NaN
## 14595 2008                        NaN
## 14596 2009                        NaN
## 14597 2010                        NaN
## 14598 2011                        NaN
## 14599 2012                        NaN
## 14600 2013                        NaN
## 14601 2014                        NaN
## 14602 2015                        NaN
## 14603 2016                        NaN
## 14604 2017                        NaN
## 14605 1966                        NaN
## 14606 1967                        NaN
## 14607 1968                        NaN
## 14608 1969                        NaN
## 14609 1970                        NaN
## 14610 1971                        NaN
## 14611 1972                        NaN
## 14612 1973                        NaN
## 14613 1974                        NaN
## 14614 1975                        NaN
## 14615 1976                        NaN
## 14616 1977                        NaN
## 14617 1978                        NaN
## 14618 1979                        NaN
## 14619 1980                        NaN
## 14620 1981                        NaN
## 14621 1982                        NaN
## 14622 1983                        NaN
## 14623 1984                        NaN
## 14624 1985                        NaN
## 14625 1986                        NaN
## 14626 1987                        NaN
## 14627 1988                        NaN
## 14628 1989                        NaN
## 14629 1990                0.454545455
## 14630 1991                0.434782609
## 14631 1992                0.450000000
## 14632 1993                0.600000000
## 14633 1994                0.500000000
## 14634 1995                0.500000000
## 14635 1996                0.413043478
## 14636 1997                0.440677966
## 14637 1998                0.440677966
## 14638 1999                0.440677966
## 14639 2000                0.476190476
## 14640 2001                0.485714286
## 14641 2002                0.482456140
## 14642 2003                0.482456140
## 14643 2004                0.427536232
## 14644 2005                0.389705882
## 14645 2006                0.437037037
## 14646 2007                0.437500000
## 14647 2008                        NaN
## 14648 2009                        NaN
## 14649 2010                        NaN
## 14650 2011                        NaN
## 14651 2012                        NaN
## 14652 2013                        NaN
## 14653 2014                        NaN
## 14654 2015                        NaN
## 14655 2016                        NaN
## 14656 2017                        NaN
## 14657 1966                        NaN
## 14658 1967                        NaN
## 14659 1968                        NaN
## 14660 1969                        NaN
## 14661 1970                        NaN
## 14662 1971                        NaN
## 14663 1972                        NaN
## 14664 1973                        NaN
## 14665 1974                        NaN
## 14666 1975                        NaN
## 14667 1976                        NaN
## 14668 1977                        NaN
## 14669 1978                        NaN
## 14670 1979                        NaN
## 14671 1980                        NaN
## 14672 1981                        NaN
## 14673 1982                        NaN
## 14674 1983                        NaN
## 14675 1984                        NaN
## 14676 1985                        NaN
## 14677 1986                        NaN
## 14678 1987                        NaN
## 14679 1988                        NaN
## 14680 1989                        NaN
## 14681 1990                        NaN
## 14682 1991                        NaN
## 14683 1992                        NaN
## 14684 1993                        NaN
## 14685 1994                        NaN
## 14686 1995                        NaN
## 14687 1996                        NaN
## 14688 1997                        NaN
## 14689 1998                        NaN
## 14690 1999                        NaN
## 14691 2000                        NaN
## 14692 2001                        NaN
## 14693 2002                        NaN
## 14694 2003                        NaN
## 14695 2004                        NaN
## 14696 2005                        NaN
## 14697 2006                        NaN
## 14698 2007                        NaN
## 14699 2008                        NaN
## 14700 2009                        NaN
## 14701 2010                        NaN
## 14702 2011                        NaN
## 14703 2012                        NaN
## 14704 2013                        NaN
## 14705 2014                        NaN
## 14706 2015                        NaN
## 14707 2016                        NaN
## 14708 2017                        NaN
## 14709 1966                        NaN
## 14710 1967                        NaN
## 14711 1968                        NaN
## 14712 1969                        NaN
## 14713 1970                        NaN
## 14714 1971                        NaN
## 14715 1972                        NaN
## 14716 1973                        NaN
## 14717 1974                        NaN
## 14718 1975                        NaN
## 14719 1976                        NaN
## 14720 1977                        NaN
## 14721 1978                        NaN
## 14722 1979                        NaN
## 14723 1980                        NaN
## 14724 1981                        NaN
## 14725 1982                        NaN
## 14726 1983                        NaN
## 14727 1984                        NaN
## 14728 1985                        NaN
## 14729 1986                        NaN
## 14730 1987                        NaN
## 14731 1988                        NaN
## 14732 1989                        NaN
## 14733 1990                0.636363636
## 14734 1991                0.666666667
## 14735 1992                0.640000000
## 14736 1993                0.650000000
## 14737 1994                0.650000000
## 14738 1995                0.666666667
## 14739 1996                0.625000000
## 14740 1997                0.666666667
## 14741 1998                0.666666667
## 14742 1999                0.666666667
## 14743 2000                0.666666667
## 14744 2001                0.636363636
## 14745 2002                0.656250000
## 14746 2003                        NaN
## 14747 2004                        NaN
## 14748 2005                        NaN
## 14749 2006                        NaN
## 14750 2007                        NaN
## 14751 2008                        NaN
## 14752 2009                        NaN
## 14753 2010                        NaN
## 14754 2011                        NaN
## 14755 2012                        NaN
## 14756 2013                        NaN
## 14757 2014                        NaN
## 14758 2015                        NaN
## 14759 2016                        NaN
## 14760 2017                        NaN
## 14761 1966                        NaN
## 14762 1967                        NaN
## 14763 1968                        NaN
## 14764 1969                        NaN
## 14765 1970                        NaN
## 14766 1971                        NaN
## 14767 1972                        NaN
## 14768 1973                        NaN
## 14769 1974                        NaN
## 14770 1975                        NaN
## 14771 1976                        NaN
## 14772 1977                        NaN
## 14773 1978                        NaN
## 14774 1979                        NaN
## 14775 1980                        NaN
## 14776 1981                        NaN
## 14777 1982                        NaN
## 14778 1983                        NaN
## 14779 1984                        NaN
## 14780 1985                        NaN
## 14781 1986                        NaN
## 14782 1987                        NaN
## 14783 1988                        NaN
## 14784 1989                        NaN
## 14785 1990                0.222222222
## 14786 1991                0.333333333
## 14787 1992                0.400000000
## 14788 1993                0.333333333
## 14789 1994                0.500000000
## 14790 1995                0.363636364
## 14791 1996                0.437500000
## 14792 1997                0.437500000
## 14793 1998                0.500000000
## 14794 1999                0.500000000
## 14795 2000                0.500000000
## 14796 2001                0.615384615
## 14797 2002                0.500000000
## 14798 2003                0.750000000
## 14799 2004                0.666666667
## 14800 2005                        NaN
## 14801 2006                        NaN
## 14802 2007                        NaN
## 14803 2008                        NaN
## 14804 2009                        NaN
## 14805 2010                        NaN
## 14806 2011                        NaN
## 14807 2012                        NaN
## 14808 2013                        NaN
## 14809 2014                        NaN
## 14810 2015                        NaN
## 14811 2016                        NaN
## 14812 2017                        NaN
## 14813 1966                        NaN
## 14814 1967                        NaN
## 14815 1968                        NaN
## 14816 1969                        NaN
## 14817 1970                        NaN
## 14818 1971                        NaN
## 14819 1972                        NaN
## 14820 1973                        NaN
## 14821 1974                        NaN
## 14822 1975                        NaN
## 14823 1976                        NaN
## 14824 1977                        NaN
## 14825 1978                        NaN
## 14826 1979                        NaN
## 14827 1980                        NaN
## 14828 1981                        NaN
## 14829 1982                        NaN
## 14830 1983                        NaN
## 14831 1984                        NaN
## 14832 1985                        NaN
## 14833 1986                        NaN
## 14834 1987                        NaN
## 14835 1988                        NaN
## 14836 1989                        NaN
## 14837 1990                        NaN
## 14838 1991                        NaN
## 14839 1992                        NaN
## 14840 1993                        NaN
## 14841 1994                        NaN
## 14842 1995                        NaN
## 14843 1996                        NaN
## 14844 1997                        NaN
## 14845 1998                        NaN
## 14846 1999                1.000000000
## 14847 2000                        NaN
## 14848 2001                1.000000000
## 14849 2002                        NaN
## 14850 2003                        NaN
## 14851 2004                        NaN
## 14852 2005                        NaN
## 14853 2006                        NaN
## 14854 2007                        NaN
## 14855 2008                        NaN
## 14856 2009                        NaN
## 14857 2010                        NaN
## 14858 2011                        NaN
## 14859 2012                        NaN
## 14860 2013                        NaN
## 14861 2014                        NaN
## 14862 2015                        NaN
## 14863 2016                        NaN
## 14864 2017                        NaN
## 14865 1966                        NaN
## 14866 1967                        NaN
## 14867 1968                        NaN
## 14868 1969                        NaN
## 14869 1970                        NaN
## 14870 1971                        NaN
## 14871 1972                        NaN
## 14872 1973                        NaN
## 14873 1974                        NaN
## 14874 1975                        NaN
## 14875 1976                        NaN
## 14876 1977                        NaN
## 14877 1978                        NaN
## 14878 1979                        NaN
## 14879 1980                        NaN
## 14880 1981                        NaN
## 14881 1982                        NaN
## 14882 1983                        NaN
## 14883 1984                        NaN
## 14884 1985                        NaN
## 14885 1986                        NaN
## 14886 1987                        NaN
## 14887 1988                        NaN
## 14888 1989                        NaN
## 14889 1990                        NaN
## 14890 1991                        NaN
## 14891 1992                        NaN
## 14892 1993                        NaN
## 14893 1994                        NaN
## 14894 1995                        NaN
## 14895 1996                        NaN
## 14896 1997                        NaN
## 14897 1998                        NaN
## 14898 1999                        NaN
## 14899 2000                        NaN
## 14900 2001                        NaN
## 14901 2002                        NaN
## 14902 2003                        NaN
## 14903 2004                        NaN
## 14904 2005                        NaN
## 14905 2006                        NaN
## 14906 2007                        NaN
## 14907 2008                        NaN
## 14908 2009                        NaN
## 14909 2010                        NaN
## 14910 2011                        NaN
## 14911 2012                        NaN
## 14912 2013                        NaN
## 14913 2014                        NaN
## 14914 2015                        NaN
## 14915 2016                        NaN
## 14916 2017                        NaN
## 14917 1966                        NaN
## 14918 1967                        NaN
## 14919 1968                        NaN
## 14920 1969                        NaN
## 14921 1970                        NaN
## 14922 1971                        NaN
## 14923 1972                        NaN
## 14924 1973                        NaN
## 14925 1974                        NaN
## 14926 1975                        NaN
## 14927 1976                        NaN
## 14928 1977                        NaN
## 14929 1978                        NaN
## 14930 1979                        NaN
## 14931 1980                        NaN
## 14932 1981                        NaN
## 14933 1982                        NaN
## 14934 1983                        NaN
## 14935 1984                        NaN
## 14936 1985                        NaN
## 14937 1986                        NaN
## 14938 1987                        NaN
## 14939 1988                        NaN
## 14940 1989                        NaN
## 14941 1990                        NaN
## 14942 1991                        NaN
## 14943 1992                        NaN
## 14944 1993                        NaN
## 14945 1994                        NaN
## 14946 1995                        NaN
## 14947 1996                        NaN
## 14948 1997                        NaN
## 14949 1998                        NaN
## 14950 1999                        NaN
## 14951 2000                        NaN
## 14952 2001                        NaN
## 14953 2002                        NaN
## 14954 2003                        NaN
## 14955 2004                        NaN
## 14956 2005                        NaN
## 14957 2006                        NaN
## 14958 2007                        NaN
## 14959 2008                        NaN
## 14960 2009                        NaN
## 14961 2010                        NaN
## 14962 2011                        NaN
## 14963 2012                        NaN
## 14964 2013                        NaN
## 14965 2014                        NaN
## 14966 2015                        NaN
## 14967 2016                        NaN
## 14968 2017                        NaN
## 14969 1966                        NaN
## 14970 1967                        NaN
## 14971 1968                        NaN
## 14972 1969                        NaN
## 14973 1970                        NaN
## 14974 1971                        NaN
## 14975 1972                        NaN
## 14976 1973                        NaN
## 14977 1974                        NaN
## 14978 1975                        NaN
## 14979 1976                        NaN
## 14980 1977                        NaN
## 14981 1978                        NaN
## 14982 1979                        NaN
## 14983 1980                        NaN
## 14984 1981                        NaN
## 14985 1982                        NaN
## 14986 1983                        NaN
## 14987 1984                        NaN
## 14988 1985                        NaN
## 14989 1986                        NaN
## 14990 1987                        NaN
## 14991 1988                        NaN
## 14992 1989                        NaN
## 14993 1990                        NaN
## 14994 1991                        NaN
## 14995 1992                        NaN
## 14996 1993                        NaN
## 14997 1994                        NaN
## 14998 1995                        NaN
## 14999 1996                        NaN
## 15000 1997                        NaN
## 15001 1998                        NaN
## 15002 1999                        NaN
## 15003 2000                        NaN
## 15004 2001                        NaN
## 15005 2002                        NaN
## 15006 2003                        NaN
## 15007 2004                        NaN
## 15008 2005                        NaN
## 15009 2006                        NaN
## 15010 2007                        NaN
## 15011 2008                        NaN
## 15012 2009                        NaN
## 15013 2010                        NaN
## 15014 2011                        NaN
## 15015 2012                        NaN
## 15016 2013                        NaN
## 15017 2014                        NaN
## 15018 2015                        NaN
## 15019 2016                        NaN
## 15020 2017                        NaN
## 15021 1966                        NaN
## 15022 1967                        NaN
## 15023 1968                        NaN
## 15024 1969                        NaN
## 15025 1970                        NaN
## 15026 1971                        NaN
## 15027 1972                        NaN
## 15028 1973                        NaN
## 15029 1974                        NaN
## 15030 1975                        NaN
## 15031 1976                        NaN
## 15032 1977                        NaN
## 15033 1978                        NaN
## 15034 1979                        NaN
## 15035 1980                        NaN
## 15036 1981                        NaN
## 15037 1982                        NaN
## 15038 1983                        NaN
## 15039 1984                        NaN
## 15040 1985                        NaN
## 15041 1986                        NaN
## 15042 1987                        NaN
## 15043 1988                        NaN
## 15044 1989                        NaN
## 15045 1990                        NaN
## 15046 1991                        NaN
## 15047 1992                        NaN
## 15048 1993                        NaN
## 15049 1994                        NaN
## 15050 1995                        NaN
## 15051 1996                        NaN
## 15052 1997                        NaN
## 15053 1998                        NaN
## 15054 1999                        NaN
## 15055 2000                        NaN
## 15056 2001                        NaN
## 15057 2002                        NaN
## 15058 2003                        NaN
## 15059 2004                        NaN
## 15060 2005                        NaN
## 15061 2006                        NaN
## 15062 2007                        NaN
## 15063 2008                        NaN
## 15064 2009                        NaN
## 15065 2010                        NaN
## 15066 2011                        NaN
## 15067 2012                        NaN
## 15068 2013                        NaN
## 15069 2014                        NaN
## 15070 2015                        NaN
## 15071 2016                        NaN
## 15072 2017                        NaN
## 15073 1966                        NaN
## 15074 1967                        NaN
## 15075 1968                        NaN
## 15076 1969                        NaN
## 15077 1970                        NaN
## 15078 1971                        NaN
## 15079 1972                        NaN
## 15080 1973                        NaN
## 15081 1974                        NaN
## 15082 1975                        NaN
## 15083 1976                        NaN
## 15084 1977                        NaN
## 15085 1978                        NaN
## 15086 1979                        NaN
## 15087 1980                        NaN
## 15088 1981                        NaN
## 15089 1982                        NaN
## 15090 1983                        NaN
## 15091 1984                        NaN
## 15092 1985                        NaN
## 15093 1986                        NaN
## 15094 1987                        NaN
## 15095 1988                        NaN
## 15096 1989                        NaN
## 15097 1990                        NaN
## 15098 1991                        NaN
## 15099 1992                        NaN
## 15100 1993                        NaN
## 15101 1994                        NaN
## 15102 1995                        NaN
## 15103 1996                        NaN
## 15104 1997                        NaN
## 15105 1998                        NaN
## 15106 1999                        NaN
## 15107 2000                        NaN
## 15108 2001                        NaN
## 15109 2002                        NaN
## 15110 2003                        NaN
## 15111 2004                        NaN
## 15112 2005                        NaN
## 15113 2006                        NaN
## 15114 2007                        NaN
## 15115 2008                        NaN
## 15116 2009                        NaN
## 15117 2010                        NaN
## 15118 2011                        NaN
## 15119 2012                        NaN
## 15120 2013                        NaN
## 15121 2014                        NaN
## 15122 2015                        NaN
## 15123 2016                        NaN
## 15124 2017                        NaN
## 15125 1966                        NaN
## 15126 1967                        NaN
## 15127 1968                        NaN
## 15128 1969                        NaN
## 15129 1970                        NaN
## 15130 1971                        NaN
## 15131 1972                        NaN
## 15132 1973                        NaN
## 15133 1974                        NaN
## 15134 1975                        NaN
## 15135 1976                        NaN
## 15136 1977                        NaN
## 15137 1978                        NaN
## 15138 1979                        NaN
## 15139 1980                        NaN
## 15140 1981                        NaN
## 15141 1982                        NaN
## 15142 1983                        NaN
## 15143 1984                        NaN
## 15144 1985                        NaN
## 15145 1986                        NaN
## 15146 1987                        NaN
## 15147 1988                        NaN
## 15148 1989                        NaN
## 15149 1990                0.400000000
## 15150 1991                0.375000000
## 15151 1992                0.400000000
## 15152 1993                0.300000000
## 15153 1994                0.500000000
## 15154 1995                0.444444444
## 15155 1996                0.384615385
## 15156 1997                0.375000000
## 15157 1998                0.285714286
## 15158 1999                0.321428571
## 15159 2000                0.285714286
## 15160 2001                0.400000000
## 15161 2002                0.400000000
## 15162 2003                0.333333333
## 15163 2004                0.333333333
## 15164 2005                0.285714286
## 15165 2006                0.250000000
## 15166 2007                        NaN
## 15167 2008                        NaN
## 15168 2009                        NaN
## 15169 2010                0.333333333
## 15170 2011                        NaN
## 15171 2012                0.333333333
## 15172 2013                0.333333333
## 15173 2014                0.333333333
## 15174 2015                0.333333333
## 15175 2016                0.333333333
## 15176 2017                0.000000000
## 15177 1966                        NaN
## 15178 1967                        NaN
## 15179 1968                        NaN
## 15180 1969                        NaN
## 15181 1970                        NaN
## 15182 1971                        NaN
## 15183 1972                        NaN
## 15184 1973                        NaN
## 15185 1974                        NaN
## 15186 1975                        NaN
## 15187 1976                        NaN
## 15188 1977                        NaN
## 15189 1978                        NaN
## 15190 1979                        NaN
## 15191 1980                        NaN
## 15192 1981                        NaN
## 15193 1982                        NaN
## 15194 1983                        NaN
## 15195 1984                        NaN
## 15196 1985                        NaN
## 15197 1986                        NaN
## 15198 1987                        NaN
## 15199 1988                        NaN
## 15200 1989                        NaN
## 15201 1990                1.000000000
## 15202 1991                1.000000000
## 15203 1992                1.000000000
## 15204 1993                1.000000000
## 15205 1994                        NaN
## 15206 1995                        NaN
## 15207 1996                        NaN
## 15208 1997                        NaN
## 15209 1998                        NaN
## 15210 1999                        NaN
## 15211 2000                1.000000000
## 15212 2001                1.000000000
## 15213 2002                1.000000000
## 15214 2003                        NaN
## 15215 2004                        NaN
## 15216 2005                        NaN
## 15217 2006                        NaN
## 15218 2007                        NaN
## 15219 2008                        NaN
## 15220 2009                        NaN
## 15221 2010                        NaN
## 15222 2011                        NaN
## 15223 2012                        NaN
## 15224 2013                        NaN
## 15225 2014                        NaN
## 15226 2015                        NaN
## 15227 2016                        NaN
## 15228 2017                        NaN
## 15229 1966                        NaN
## 15230 1967                        NaN
## 15231 1968                        NaN
## 15232 1969                        NaN
## 15233 1970                        NaN
## 15234 1971                        NaN
## 15235 1972                        NaN
## 15236 1973                        NaN
## 15237 1974                        NaN
## 15238 1975                        NaN
## 15239 1976                        NaN
## 15240 1977                        NaN
## 15241 1978                        NaN
## 15242 1979                        NaN
## 15243 1980                        NaN
## 15244 1981                        NaN
## 15245 1982                        NaN
## 15246 1983                        NaN
## 15247 1984                        NaN
## 15248 1985                        NaN
## 15249 1986                        NaN
## 15250 1987                        NaN
## 15251 1988                        NaN
## 15252 1989                        NaN
## 15253 1996                        NaN
## 15254 1997                        NaN
## 15255 1998                        NaN
## 15256 1999                        NaN
## 15257 2000                        NaN
## 15258 2001                        NaN
## 15259 2002                        NaN
## 15260 2003                        NaN
## 15261 2004                        NaN
## 15262 2005                        NaN
## 15263 2006                        NaN
## 15264 2007                        NaN
## 15265 2008                        NaN
## 15266 2009                        NaN
## 15267 2010                        NaN
## 15268 2011                        NaN
## 15269 2012                        NaN
## 15270 2013                        NaN
## 15271 2014                        NaN
## 15272 2015                        NaN
## 15273 2016                        NaN
## 15274 2017                        NaN
## 15275 1966                        NaN
## 15276 1967                        NaN
## 15277 1968                        NaN
## 15278 1969                        NaN
## 15279 1970                        NaN
## 15280 1971                0.000000000
## 15281 1972                0.500000000
## 15282 1973                        NaN
## 15283 1974                        NaN
## 15284 1975                0.500000000
## 15285 1976                        Inf
## 15286 1977                        Inf
## 15287 1978                        NaN
## 15288 1979                        NaN
## 15289 1980                        NaN
## 15290 1981                        NaN
## 15291 1982                        NaN
## 15292 1983                        NaN
## 15293 1984                        NaN
## 15294 1985                        NaN
## 15295 1986                        NaN
## 15296 1987                0.666666667
## 15297 1988                        NaN
## 15298 1989                0.500000000
## 15299 1990                0.666666667
## 15300 1991                0.400000000
## 15301 1992                0.600000000
## 15302 1993                0.625000000
## 15303 1994                0.500000000
## 15304 1995                0.583333333
## 15305 1996                1.000000000
## 15306 1997                1.000000000
## 15307 1998                1.000000000
## 15308 1999                1.272058824
## 15309 2000                        NaN
## 15310 2001                0.875000000
## 15311 2002                1.000000000
## 15312 2003                1.000000000
## 15313 2004                1.100000000
## 15314 2005                1.071428571
## 15315 2006                1.100000000
## 15316 2007                1.100000000
## 15317 2008                1.090909091
## 15318 2009                1.200000000
## 15319 2010                        NaN
## 15320 2011                        NaN
## 15321 2012                        NaN
## 15322 2013                        NaN
## 15323 2014                        NaN
## 15324 2015                        NaN
## 15325 2016                        NaN
## 15326 2017                        NaN
## 15327 1966                        NaN
## 15328 1967                        NaN
## 15329 1968                        NaN
## 15330 1969                        NaN
## 15331 1970                        NaN
## 15332 1971                        NaN
## 15333 1972                        NaN
## 15334 1973                        NaN
## 15335 1974                0.419354839
## 15336 1975                0.500000000
## 15337 1976                        Inf
## 15338 1977                        Inf
## 15339 1978                        NaN
## 15340 1979                        NaN
## 15341 1980                        NaN
## 15342 1981                        NaN
## 15343 1982                        NaN
## 15344 1983                        NaN
## 15345 1984                        NaN
## 15346 1985                        NaN
## 15347 1986                        NaN
## 15348 1987                        NaN
## 15349 1988                0.500000000
## 15350 1989                        NaN
## 15351 1990                        NaN
## 15352 1991                0.000000000
## 15353 1992                0.000000000
## 15354 1993                        NaN
## 15355 1994                        NaN
## 15356 1995                0.750000000
## 15357 1996                0.333333333
## 15358 1997                0.833333333
## 15359 1998                        NaN
## 15360 1999                2.861788618
## 15361 2000                        NaN
## 15362 2001                        NaN
## 15363 2002                1.090909091
## 15364 2003                        NaN
## 15365 2004                        NaN
## 15366 2005                1.093750000
## 15367 2006                1.096774194
## 15368 2007                1.059701493
## 15369 2008                1.089552239
## 15370 2009                1.000000000
## 15371 2010                        NaN
## 15372 2011                        NaN
## 15373 2012                        NaN
## 15374 2013                        NaN
## 15375 2014                        NaN
## 15376 2015                        NaN
## 15377 2016                        NaN
## 15378 2017                        NaN
## 15379 1966                        NaN
## 15380 1967                        NaN
## 15381 1968                        NaN
## 15382 1969                        NaN
## 15383 1970                        NaN
## 15384 1971                        NaN
## 15385 1972                        NaN
## 15386 1973                        NaN
## 15387 1974                        NaN
## 15388 1975                0.442105263
## 15389 1976                        Inf
## 15390 1977                        Inf
## 15391 1978                        NaN
## 15392 1979                        NaN
## 15393 1980                        NaN
## 15394 1981                        NaN
## 15395 1982                        NaN
## 15396 1983                        NaN
## 15397 1984                        NaN
## 15398 1985                        NaN
## 15399 1986                        NaN
## 15400 1987                        NaN
## 15401 1988                0.545454545
## 15402 1989                0.000000000
## 15403 1990                        NaN
## 15404 1991                        NaN
## 15405 1992                0.625000000
## 15406 1993                        NaN
## 15407 1994                        NaN
## 15408 1995                0.666666667
## 15409 1996                        NaN
## 15410 1997                        NaN
## 15411 1998                        NaN
## 15412 1999                1.204081633
## 15413 2000                        NaN
## 15414 2001                0.000000000
## 15415 2002                        NaN
## 15416 2003                        NaN
## 15417 2004                        NaN
## 15418 2005                        NaN
## 15419 2006                        NaN
## 15420 2007                1.100000000
## 15421 2008                1.100000000
## 15422 2009                1.105263158
## 15423 2010                        NaN
## 15424 2011                        NaN
## 15425 2012                        NaN
## 15426 2013                        NaN
## 15427 2014                        NaN
## 15428 2015                1.071428571
## 15429 2016                        NaN
## 15430 2017                        NaN
## 15431 1966                        NaN
## 15432 1967                        NaN
## 15433 1968                        NaN
## 15434 1969                        NaN
## 15435 1970                        NaN
## 15436 1971                        NaN
## 15437 1972                0.500000000
## 15438 1973                0.000000000
## 15439 1974                        NaN
## 15440 1975                        NaN
## 15441 1976                        NaN
## 15442 1977                        NaN
## 15443 1978                        NaN
## 15444 1979                        NaN
## 15445 1980                        NaN
## 15446 1981                        NaN
## 15447 1982                        NaN
## 15448 1983                        NaN
## 15449 1984                        NaN
## 15450 1985                        NaN
## 15451 1986                        NaN
## 15452 1987                        NaN
## 15453 1988                        NaN
## 15454 1989                        NaN
## 15455 1990                0.473684211
## 15456 1991                        NaN
## 15457 1992                0.625000000
## 15458 1993                        NaN
## 15459 1994                        NaN
## 15460 1995                        NaN
## 15461 1996                        NaN
## 15462 1997                        NaN
## 15463 1998                        NaN
## 15464 1999                1.185185185
## 15465 2000                        NaN
## 15466 2001                        NaN
## 15467 2002                        NaN
## 15468 2003                        NaN
## 15469 2004                        NaN
## 15470 2005                        NaN
## 15471 2006                        NaN
## 15472 2007                        NaN
## 15473 2008                1.000000000
## 15474 2009                        NaN
## 15475 2010                        NaN
## 15476 2011                1.000000000
## 15477 2012                        NaN
## 15478 2013                1.000000000
## 15479 2014                        NaN
## 15480 2015                        NaN
## 15481 2016                1.000000000
## 15482 2017                        NaN
## 15483 1966                        NaN
## 15484 1967                        NaN
## 15485 1968                        NaN
## 15486 1969                        NaN
## 15487 1970                        NaN
## 15488 1971                        NaN
## 15489 1972                0.500000000
## 15490 1973                0.333333333
## 15491 1974                        NaN
## 15492 1975                0.449704142
## 15493 1976                        Inf
## 15494 1977                        Inf
## 15495 1978                        NaN
## 15496 1979                        NaN
## 15497 1980                        NaN
## 15498 1981                        NaN
## 15499 1982                        NaN
## 15500 1983                        NaN
## 15501 1984                        NaN
## 15502 1985                        NaN
## 15503 1986                        NaN
## 15504 1987                        NaN
## 15505 1988                        NaN
## 15506 1989                        NaN
## 15507 1990                        NaN
## 15508 1991                        NaN
## 15509 1992                        NaN
## 15510 1993                0.000000000
## 15511 1994                0.500000000
## 15512 1995                1.000000000
## 15513 1996                1.000000000
## 15514 1997                0.900000000
## 15515 1998                        NaN
## 15516 1999                1.211065574
## 15517 2000                        NaN
## 15518 2001                0.740740741
## 15519 2002                1.007407407
## 15520 2003                1.000000000
## 15521 2004                1.010416667
## 15522 2005                        NaN
## 15523 2006                1.000000000
## 15524 2007                        NaN
## 15525 2008                        NaN
## 15526 2009                        NaN
## 15527 2010                        NaN
## 15528 2011                        NaN
## 15529 2012                        NaN
## 15530 2013                        NaN
## 15531 2014                        NaN
## 15532 2015                        NaN
## 15533 2016                        NaN
## 15534 2017                        NaN
## 15535 1966                        NaN
## 15536 1967                        NaN
## 15537 1968                        NaN
## 15538 1969                        NaN
## 15539 1970                        NaN
## 15540 1971                0.363636364
## 15541 1972                        NaN
## 15542 1973                0.333333333
## 15543 1974                0.431372549
## 15544 1975                        NaN
## 15545 1976                        Inf
## 15546 1977                        Inf
## 15547 1978                        NaN
## 15548 1979                        NaN
## 15549 1980                        NaN
## 15550 1981                        NaN
## 15551 1982                        NaN
## 15552 1983                        NaN
## 15553 1984                        NaN
## 15554 1985                        NaN
## 15555 1986                        NaN
## 15556 1987                0.500000000
## 15557 1988                        NaN
## 15558 1989                1.000000000
## 15559 1990                0.333333333
## 15560 1991                0.476190476
## 15561 1992                        NaN
## 15562 1993                1.000000000
## 15563 1994                0.500000000
## 15564 1995                0.600000000
## 15565 1996                1.000000000
## 15566 1997                        NaN
## 15567 1998                0.857142857
## 15568 1999                1.398148148
## 15569 2000                        NaN
## 15570 2001                0.909090909
## 15571 2002                        NaN
## 15572 2003                1.000000000
## 15573 2004                1.000000000
## 15574 2005                        NaN
## 15575 2006                1.000000000
## 15576 2007                1.068965517
## 15577 2008                1.000000000
## 15578 2009                        NaN
## 15579 2010                1.000000000
## 15580 2011                        NaN
## 15581 2012                1.090909091
## 15582 2013                        NaN
## 15583 2014                        NaN
## 15584 2015                        NaN
## 15585 2016                        NaN
## 15586 2017                        NaN
## 15587 1966                        NaN
## 15588 1967                        NaN
## 15589 1968                        NaN
## 15590 1969                        NaN
## 15591 1970                        NaN
## 15592 1971                0.400000000
## 15593 1972                0.250000000
## 15594 1973                        NaN
## 15595 1974                0.416666667
## 15596 1975                0.166666667
## 15597 1976                        Inf
## 15598 1977                        Inf
## 15599 1978                        NaN
## 15600 1979                        NaN
## 15601 1980                        NaN
## 15602 1981                        NaN
## 15603 1982                        NaN
## 15604 1983                        NaN
## 15605 1984                        NaN
## 15606 1985                        NaN
## 15607 1986                        NaN
## 15608 1987                        NaN
## 15609 1988                        NaN
## 15610 1989                0.000000000
## 15611 1990                        NaN
## 15612 1991                        NaN
## 15613 1992                0.000000000
## 15614 1993                        NaN
## 15615 1994                        NaN
## 15616 1995                        NaN
## 15617 1996                        NaN
## 15618 1997                        NaN
## 15619 1998                        NaN
## 15620 1999                1.934579439
## 15621 2000                        NaN
## 15622 2001                        NaN
## 15623 2002                        NaN
## 15624 2003                        NaN
## 15625 2004                        NaN
## 15626 2005                1.000000000
## 15627 2006                1.052631579
## 15628 2007                1.111111111
## 15629 2008                        NaN
## 15630 2009                        NaN
## 15631 2010                        NaN
## 15632 2011                        NaN
## 15633 2012                1.000000000
## 15634 2013                1.000000000
## 15635 2014                1.052631579
## 15636 2015                1.052631579
## 15637 2016                1.076923077
## 15638 2017                1.000000000
## 15639 1966                        NaN
## 15640 1967                        NaN
## 15641 1968                        NaN
## 15642 1969                        NaN
## 15643 1970                        NaN
## 15644 1971                0.428571429
## 15645 1972                0.372549020
## 15646 1973                0.276595745
## 15647 1974                0.250000000
## 15648 1975                0.460674157
## 15649 1976                        Inf
## 15650 1977                        Inf
## 15651 1978                        NaN
## 15652 1979                        NaN
## 15653 1980                        NaN
## 15654 1981                        NaN
## 15655 1982                        NaN
## 15656 1983                        NaN
## 15657 1984                        NaN
## 15658 1985                        NaN
## 15659 1986                        NaN
## 15660 1987                0.250000000
## 15661 1988                0.500000000
## 15662 1989                        NaN
## 15663 1990                0.500000000
## 15664 1991                0.400000000
## 15665 1992                0.000000000
## 15666 1993                0.611940299
## 15667 1994                0.571428571
## 15668 1995                0.500000000
## 15669 1996                1.000000000
## 15670 1997                0.916666667
## 15671 1998                1.650000000
## 15672 1999                1.180904523
## 15673 2000                1.000000000
## 15674 2001                        NaN
## 15675 2002                        NaN
## 15676 2003                1.000000000
## 15677 2004                1.000000000
## 15678 2005                1.500000000
## 15679 2006                1.500000000
## 15680 2007                1.040000000
## 15681 2008                1.000000000
## 15682 2009                1.125000000
## 15683 2010                1.000000000
## 15684 2011                1.090909091
## 15685 2012                1.000000000
## 15686 2013                1.090909091
## 15687 2014                1.090909091
## 15688 2015                1.100000000
## 15689 2016                1.111111111
## 15690 2017                1.111111111
## 15691 1966                        NaN
## 15692 1967                        NaN
## 15693 1968                        NaN
## 15694 1969                        NaN
## 15695 1970                        NaN
## 15696 1971                0.333333333
## 15697 1972                0.000000000
## 15698 1973                0.000000000
## 15699 1974                1.000000000
## 15700 1975                        NaN
## 15701 1976                        Inf
## 15702 1977                        NaN
## 15703 1978                        NaN
## 15704 1979                        NaN
## 15705 1980                        NaN
## 15706 1981                        NaN
## 15707 1982                        NaN
## 15708 1983                        NaN
## 15709 1984                        NaN
## 15710 1985                        NaN
## 15711 1986                        NaN
## 15712 1987                        NaN
## 15713 1988                        NaN
## 15714 1989                0.452380952
## 15715 1990                0.500000000
## 15716 1991                        NaN
## 15717 1992                0.642857143
## 15718 1993                        NaN
## 15719 1994                        NaN
## 15720 1995                0.000000000
## 15721 1996                0.454545455
## 15722 1997                        NaN
## 15723 1998                        NaN
## 15724 1999                0.814229249
## 15725 2000                        NaN
## 15726 2001                0.900000000
## 15727 2002                        NaN
## 15728 2003                1.000000000
## 15729 2004                1.000000000
## 15730 2005                        NaN
## 15731 2006                1.000000000
## 15732 2007                1.000000000
## 15733 2008                1.000000000
## 15734 2009                1.000000000
## 15735 2010                1.000000000
## 15736 2011                1.000000000
## 15737 2012                1.000000000
## 15738 2013                1.000000000
## 15739 2014                1.000000000
## 15740 2015                1.000000000
## 15741 2016                1.000000000
## 15742 2017                1.000000000
## 15743 1966                        NaN
## 15744 1967                        NaN
## 15745 1968                        NaN
## 15746 1969                        NaN
## 15747 1970                        NaN
## 15748 1971                0.356435644
## 15749 1972                0.380952381
## 15750 1973                0.285714286
## 15751 1974                0.352941176
## 15752 1975                0.469387755
## 15753 1976                        Inf
## 15754 1977                        Inf
## 15755 1978                        NaN
## 15756 1979                        NaN
## 15757 1980                        NaN
## 15758 1981                        NaN
## 15759 1982                        NaN
## 15760 1983                        NaN
## 15761 1984                        NaN
## 15762 1985                        NaN
## 15763 1986                        NaN
## 15764 1987                        NaN
## 15765 1988                0.000000000
## 15766 1989                0.000000000
## 15767 1990                0.500000000
## 15768 1991                0.500000000
## 15769 1992                1.000000000
## 15770 1993                0.500000000
## 15771 1994                0.500000000
## 15772 1997                        NaN
## 15773 1998                        NaN
## 15774 1999                        NaN
## 15775 2000                        NaN
## 15776 2001                        NaN
## 15777 2002                        NaN
## 15778 2003                        NaN
## 15779 2004                        NaN
## 15780 2005                        NaN
## 15781 2006                        NaN
## 15782 2007                        NaN
## 15783 2008                        NaN
## 15784 2009                        NaN
## 15785 2010                        NaN
## 15786 2011                        NaN
## 15787 2012                        NaN
## 15788 2013                        NaN
## 15789 2014                        NaN
## 15790 2015                        NaN
## 15791 2016                        NaN
## 15792 2017                0.729729730
## 15793 1966                        NaN
## 15794 1967                        NaN
## 15795 1968                        NaN
## 15796 1969                        NaN
## 15797 1970                        NaN
## 15798 1971                0.391304348
## 15799 1972                2.391304348
## 15800 1973                0.347517730
## 15801 1974                0.418518519
## 15802 1975                0.458823529
## 15803 1976                        Inf
## 15804 1977                        Inf
## 15805 1978                        NaN
## 15806 1979                        NaN
## 15807 1980                        NaN
## 15808 1981                        NaN
## 15809 1982                        NaN
## 15810 1983                        NaN
## 15811 1984                        NaN
## 15812 1985                        NaN
## 15813 1986                        NaN
## 15814 1987                0.500000000
## 15815 1988                0.600619195
## 15816 1989                0.447089947
## 15817 1990                0.549019608
## 15818 1991                0.462809917
## 15819 1992                0.592741935
## 15820 1993                0.596774194
## 15821 1994                0.579365079
## 15822 1995                0.591065292
## 15823 1996                0.793103448
## 15824 1997                0.835227273
## 15825 1998                1.099009901
## 15826 1999                1.390279823
## 15827 2000                0.924528302
## 15828 2001                1.057553957
## 15829 2002                1.014492754
## 15830 2003                1.015873016
## 15831 2004                1.006211180
## 15832 2005                1.018404908
## 15833 2006                1.018939394
## 15834 2007                1.027624309
## 15835 2008                1.007812500
## 15836 2009                1.023809524
## 15837 2010                1.060240964
## 15838 2011                1.063829787
## 15839 2012                1.071038251
## 15840 2013                1.058823529
## 15841 2014                1.060869565
## 15842 2015                1.059322034
## 15843 2016                1.064102564
## 15844 2017                1.064000000
## 15845 1966                        NaN
## 15846 1967                        NaN
## 15847 1968                        NaN
## 15848 1969                        NaN
## 15849 1970                        NaN
## 15850 1971                0.400000000
## 15851 1972                0.365384615
## 15852 1973                0.352941176
## 15853 1974                0.444444444
## 15854 1975                0.265306122
## 15855 1976                        Inf
## 15856 1977                        Inf
## 15857 1978                        NaN
## 15858 1979                        NaN
## 15859 1980                        NaN
## 15860 1981                        NaN
## 15861 1982                        NaN
## 15862 1983                        NaN
## 15863 1984                        NaN
## 15864 1985                        NaN
## 15865 1986                        NaN
## 15866 1987                        NaN
## 15867 1988                        NaN
## 15868 1989                        NaN
## 15869 1990                        NaN
## 15870 1991                        NaN
## 15871 1992                0.500000000
## 15872 1993                0.400000000
## 15873 1994                0.577464789
## 15874 1995                0.000000000
## 15875 1996                        NaN
## 15876 1997                        NaN
## 15877 1998                1.000000000
## 15878 1999                1.326568266
## 15879 2000                        NaN
## 15880 2001                        NaN
## 15881 2002                        NaN
## 15882 2003                        NaN
## 15883 2004                        NaN
## 15884 2005                1.000000000
## 15885 2006                1.000000000
## 15886 2007                1.000000000
## 15887 2008                        NaN
## 15888 2009                        NaN
## 15889 2010                1.065217391
## 15890 2011                        NaN
## 15891 2012                1.063829787
## 15892 2013                1.000000000
## 15893 2014                        NaN
## 15894 2015                        NaN
## 15895 2016                        NaN
## 15896 2017                        NaN
## 15897 1966                        NaN
## 15898 1967                        NaN
## 15899 1968                        NaN
## 15900 1969                        NaN
## 15901 1970                        NaN
## 15902 1971                0.373983740
## 15903 1972                0.964285714
## 15904 1973                0.466666667
## 15905 1974                0.426229508
## 15906 1975                0.466666667
## 15907 1976                        Inf
## 15908 1977                        Inf
## 15909 1978                        NaN
## 15910 1979                        NaN
## 15911 1980                        NaN
## 15912 1981                        NaN
## 15913 1982                        NaN
## 15914 1983                        NaN
## 15915 1984                        NaN
## 15916 1985                        NaN
## 15917 1986                        NaN
## 15918 1987                        NaN
## 15919 1988                0.000000000
## 15920 1989                0.000000000
## 15921 1990                0.571428571
## 15922 1991                0.466666667
## 15923 1992                0.500000000
## 15924 1993                0.500000000
## 15925 1994                0.333333333
## 15926 1997                        NaN
## 15927 1998                        NaN
## 15928 1999                        NaN
## 15929 2000                        NaN
## 15930 2001                        NaN
## 15931 2002                        NaN
## 15932 2003                        NaN
## 15933 2004                        NaN
## 15934 2005                        NaN
## 15935 2006                        NaN
## 15936 2007                        NaN
## 15937 2008                        NaN
## 15938 2009                        NaN
## 15939 2010                        NaN
## 15940 2011                        NaN
## 15941 2012                        NaN
## 15942 2013                        NaN
## 15943 2014                        NaN
## 15944 2015                        NaN
## 15945 2016                        NaN
## 15946 2017                0.890625000
## 15947 1966                        NaN
## 15948 1967                        NaN
## 15949 1968                        NaN
## 15950 1969                        NaN
## 15951 1970                        NaN
## 15952 1971                0.000000000
## 15953 1972                        NaN
## 15954 1973                0.000000000
## 15955 1974                        NaN
## 15956 1975                        NaN
## 15957 1976                        NaN
## 15958 1977                        NaN
## 15959 1978                        NaN
## 15960 1979                        NaN
## 15961 1980                        NaN
## 15962 1981                        NaN
## 15963 1982                        NaN
## 15964 1983                        NaN
## 15965 1984                        NaN
## 15966 1985                        NaN
## 15967 1986                        NaN
## 15968 1987                        NaN
## 15969 1988                0.000000000
## 15970 1989                        NaN
## 15971 1990                        NaN
## 15972 1991                        NaN
## 15973 1992                        NaN
## 15974 1993                        NaN
## 15975 1994                        NaN
## 15976 1997                        NaN
## 15977 1998                        NaN
## 15978 1999                        NaN
## 15979 2000                        NaN
## 15980 2001                        NaN
## 15981 2002                        NaN
## 15982 2003                        NaN
## 15983 2004                        NaN
## 15984 2005                        NaN
## 15985 2006                        NaN
## 15986 2007                        NaN
## 15987 2008                        NaN
## 15988 2009                        NaN
## 15989 2010                        NaN
## 15990 2011                        NaN
## 15991 2012                        NaN
## 15992 2013                        NaN
## 15993 2014                        NaN
## 15994 2015                        NaN
## 15995 2016                        NaN
## 15996 2017                0.647058824
## 15997 1966                        NaN
## 15998 1967                        NaN
## 15999 1968                        NaN
## 16000 1969                        NaN
## 16001 1970                        NaN
## 16002 1971                0.232558140
## 16003 1972                0.372093023
## 16004 1973                0.465517241
## 16005 1974                0.409836066
## 16006 1975                0.000000000
## 16007 1976                        Inf
## 16008 1977                        Inf
## 16009 1978                        NaN
## 16010 1979                        NaN
## 16011 1980                        NaN
## 16012 1981                        NaN
## 16013 1982                        NaN
## 16014 1983                        NaN
## 16015 1984                        NaN
## 16016 1985                        NaN
## 16017 1986                        NaN
## 16018 1987                        NaN
## 16019 1988                0.000000000
## 16020 1989                0.000000000
## 16021 1990                0.400000000
## 16022 1991                0.463414634
## 16023 1992                0.590909091
## 16024 1993                0.591304348
## 16025 1994                0.582417582
## 16026 1997                        NaN
## 16027 1998                        NaN
## 16028 1999                        NaN
## 16029 2000                        NaN
## 16030 2001                        NaN
## 16031 2002                        NaN
## 16032 2003                        NaN
## 16033 2004                        NaN
## 16034 2005                        NaN
## 16035 2006                        NaN
## 16036 2007                        NaN
## 16037 2008                        NaN
## 16038 2009                        NaN
## 16039 2010                        NaN
## 16040 2011                        NaN
## 16041 2012                        NaN
## 16042 2013                        NaN
## 16043 2014                        NaN
## 16044 2015                        NaN
## 16045 2016                        NaN
## 16046 2017                0.480000000
## 16047 1966                        NaN
## 16048 1967                        NaN
## 16049 1968                        NaN
## 16050 1969                        NaN
## 16051 1970                        NaN
## 16052 1971                0.340425532
## 16053 1972                0.361702128
## 16054 1973                0.287671233
## 16055 1974                0.576271186
## 16056 1975                        Inf
## 16057 1976                        Inf
## 16058 1977                        Inf
## 16059 1978                        NaN
## 16060 1979                        NaN
## 16061 1980                        NaN
## 16062 1981                        NaN
## 16063 1982                        NaN
## 16064 1983                        NaN
## 16065 1984                        NaN
## 16066 1985                        NaN
## 16067 1986                        NaN
## 16068 1987                        NaN
## 16069 1988                0.000000000
## 16070 1989                0.000000000
## 16071 1990                0.375000000
## 16072 1991                0.400000000
## 16073 1992                0.600000000
## 16074 1993                0.666666667
## 16075 1994                0.571428571
## 16076 1997                        NaN
## 16077 1998                        NaN
## 16078 1999                        NaN
## 16079 2000                        NaN
## 16080 2001                        NaN
## 16081 2002                        NaN
## 16082 2003                        NaN
## 16083 2004                        NaN
## 16084 2005                        NaN
## 16085 2006                        NaN
## 16086 2007                        NaN
## 16087 2008                        NaN
## 16088 2009                        NaN
## 16089 2010                        NaN
## 16090 2011                        NaN
## 16091 2012                        NaN
## 16092 2013                        NaN
## 16093 2014                        NaN
## 16094 2015                        NaN
## 16095 2016                        NaN
## 16096 2017                0.666666667
## 16097 1966                        NaN
## 16098 1967                        NaN
## 16099 1968                        NaN
## 16100 1969                        NaN
## 16101 1970                        NaN
## 16102 1971                0.367346939
## 16103 1972                0.400000000
## 16104 1973                0.301587302
## 16105 1974                0.205882353
## 16106 1975                0.000000000
## 16107 1976                        Inf
## 16108 1977                        Inf
## 16109 1978                        NaN
## 16110 1979                        NaN
## 16111 1980                        NaN
## 16112 1981                        NaN
## 16113 1982                        NaN
## 16114 1983                        NaN
## 16115 1984                        NaN
## 16116 1985                        NaN
## 16117 1986                        NaN
## 16118 1987                        NaN
## 16119 1988                0.000000000
## 16120 1989                0.000000000
## 16121 1990                0.400000000
## 16122 1991                0.434782609
## 16123 1992                0.611111111
## 16124 1993                0.625000000
## 16125 1994                0.600000000
## 16126 1997                        NaN
## 16127 1998                        NaN
## 16128 1999                        NaN
## 16129 2000                        NaN
## 16130 2001                        NaN
## 16131 2002                        NaN
## 16132 2003                        NaN
## 16133 2004                        NaN
## 16134 2005                        NaN
## 16135 2006                        NaN
## 16136 2007                        NaN
## 16137 2008                        NaN
## 16138 2009                        NaN
## 16139 2010                        NaN
## 16140 2011                        NaN
## 16141 2012                        NaN
## 16142 2013                        NaN
## 16143 2014                        NaN
## 16144 2015                        NaN
## 16145 2016                        NaN
## 16146 2017                0.652892562

Interpretation: The code calculates the productivity ratio of Kharif Sorghum by dividing its production by the area under cultivation for each year. The output shows the ratio for each year, indicating fluctuations in sorghum productivity over time.

Question 5.3: Compute the percentage of low yield per crop in each year.

low_yield_threshold_pearl_millet <- 500
ICRISAT$Low_Yield_Pearl_Millet <- ICRISAT$pearl_millet_yield_kg_per_ha < low_yield_threshold_pearl_millet
low_yield_percentage_pearl_millet <- sum(ICRISAT$Low_Yield_Pearl_Millet) / nrow(ICRISAT) * 100
message("Percentage of low yield years for Pearl Millet: ", round(low_yield_percentage_pearl_millet, 2), "%")

Interpretation: The result indicates that 55.03% of the years in the dataset for Pearl Millet had a yield below the threshold of 500 Kg per ha. This means that more than half of the years observed had Pearl Millet yields considered “low” based on the defined threshold.

———————————————————

Data Visualization

———————————————————

V1

Bar Chart: Compare total production of major crops (like rice, wheat, maize) across states.

# Aggregating data by state
state_prod <- aggregate(cbind(rice_production_1000tons, wheat_production_1000tons, maize_production_1000tons) ~ state_name, data = ICRISAT, sum)

# Convert data to long format using tidyr::pivot_longer
state_prod_long <- state_prod %>%
  pivot_longer(cols = c(rice_production_1000tons, wheat_production_1000tons, maize_production_1000tons),
               names_to = "crop_type",
               values_to = "production")

# Grouped Bar Chart
ggplot(state_prod_long, aes(x = state_name, y = production, fill = factor(crop_type))) +
  geom_col(position = "dodge") +
  ggtitle("Grouped Bar Chart: Total Crop Production by State") +
  xlab("State") +
  ylab("Production (1000 tons)") +
  labs(fill = "Crop Type") +
  theme_minimal() +
  theme(axis.text.x = element_text(angle = 90, hjust = 1))

Interpretation :- The chart compares maize, rice, and wheat production across Indian states, highlighting Uttar Pradesh’s dominance in wheat, West Bengal and Punjab in rice, and Karnataka and Andhra Pradesh in maize.

———————————————————

V2

Histogram: Visualize distribution of Barley yield across districts.

ggplot(ICRISAT, aes(x = barley_yield_kg_per_ha)) +
  geom_histogram(bins = 30, fill = 'orange', color = 'black') +
  theme_minimal() +
  labs(title = 'Distribution of Barley Yield across Districts',
       x = 'Barley Yield (kg/ha)',
       y = 'Frequency')

Interpretation :- Most districts have low barley yields, resulting in a tall bar on the left. The distribution is right-skewed, indicating a few districts with very high yields.

———————————————————

V3

Pie Chart: Show the proportion of crop area used by different cereals in a selected state.

# Select a state (e.g., "Chhattisgarh")
state_data <- subset(ICRISAT, state_name == 'Chhattisgarh')

# Summarize area data for cereals (rice, wheat, maize)
state_cereal_area <- state_data[, c('rice_area_1000ha', 'wheat_area_1000ha', 'maize_area_1000ha')]
state_cereal_area_total <- colSums(state_cereal_area)

# Pie chart
pie(state_cereal_area_total, labels = names(state_cereal_area_total), col = rainbow(length(state_cereal_area_total)),
    main = 'Proportion of Cereal Crop Area in Chhattisgarh')

Interpretation :- The red segment dominates the chart, indicating that rice occupies the largest area, while crops like maize and wheat have relatively smaller shares.

———————————————————

V4

Pair Plot: Explore relationships among area, production, and yield for wheat.

# Subset for the pair plot
pair_data <- ICRISAT[, c('rice_area_1000ha', 'rice_production_1000tons', 'rice_yield_kg_per_ha',
                         'wheat_area_1000ha', 'wheat_production_1000tons', 'wheat_yield_kg_per_ha')]

# Pair plot
ggpairs(pair_data)

Interpretation :- The pair plot shows a strong positive correlation between area and production for both rice (0.833) and wheat (0.911). Yield has a moderate correlation with production for rice (0.530) and wheat (0.687), but weak correlation with area.

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V5

Boxplot: Compare rice yield variability across different states.

# Select relevant columns for rice
rice_data <- ICRISAT[, c('state_name', 'rice_yield_kg_per_ha')]

# Gather the data into long format (though there's only one variable here, so no need to reshape much)
rice_data_long <- gather(rice_data, key = 'crop_type', value = 'yield', rice_yield_kg_per_ha)

# Boxplot
ggplot(rice_data_long, aes(x = state_name, y = yield, fill = crop_type)) +
  geom_boxplot() +
  theme(axis.text.x = element_text(angle = 90, hjust = 1)) +
  labs(title = 'Rice Yield Variability across States', x = 'State', y = 'Rice Yield (kg/ha)')

Interpretation :- Rice yield varies widely across states, with Punjab, Haryana, and West Bengal showing higher medians. Several states like Madhya Pradesh have lower yields and many outliers, indicating significant yield fluctuations within states.

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V6

Boxplot: Visualize the wheat yield (in kg/ha) across different states.

# Select relevant data
wheat_data <- ICRISAT[, c('state_name', 'wheat_yield_kg_per_ha')]

# Boxplot for wheat yield across states
ggplot(wheat_data, aes(x = state_name, y = wheat_yield_kg_per_ha, fill = state_name)) +
  geom_boxplot() +
  theme(axis.text.x = element_text(angle = 90, hjust = 1)) +
  labs(title = 'Wheat Yield (kg/ha) Across States',
       x = 'State',
       y = 'Wheat Yield (kg/ha)')

Interpretation :- Based on the boxplot, Punjab and Haryana exhibit higher median wheat yields compared to other states, while states like Bihar and Tamil Nadu tend to have lower median yields and greater variability.States like Uttrakhand & MP have most outliers.

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V7

Line Chart: Is there a noticeable increase or decrease in the total crop production over the years from 1966 to 2017?

# Filter the dataset for years between 1966 and 2017
ICRISAT_filtered <- ICRISAT %>% 
  filter(year >= 1966 & year <= 2017)
# Sum the production for all crops for each year (you can modify for different crops if needed)
ICRISAT_filtered$total_production <- ICRISAT_filtered$rice_production_1000tons + 
  ICRISAT_filtered$wheat_production_1000tons +
  ICRISAT_filtered$barley_production_1000tons + 
  ICRISAT_filtered$sorghum_production_1000tons + 
  ICRISAT_filtered$pearl_millet_production_1000tons + 
  ICRISAT_filtered$maize_production_1000tons + 
  ICRISAT_filtered$finger_millet_production_1000tons + 
  ICRISAT_filtered$chickpea_production_1000tons + 
  ICRISAT_filtered$pigeonpea_production_1000tons + 
  ICRISAT_filtered$groundnut_production_1000tons  # Add other crops if necessary
# Summarize the total production by year
production_by_year <- ICRISAT_filtered %>%
  group_by(year) %>%
  summarize(total_production = sum(total_production))
# Plot the total production for each year from 1996 to 2017
ggplot(production_by_year, aes(x = year, y = total_production)) +
  geom_line(color = "blue", size = 1) +
  geom_point(color = "red", size = 2) +  # Adds points to highlight each year
  labs(title = "Total Crop Production from 1996 to 2017", 
       x = "Year", 
       y = "Total Production (1000 tons)") +
  theme_minimal()

Interpretation :- Yes, the line chart illustrates a strong positive growth trajectory in total crop production between 1966 and 2017.

———————————————————

Advanced Engineering

———————————————————

1.1

ANOVA 1: Analyze the effect of state on wheat yield.

Null Hypothesis (H0): No significant difference in wheat yield between states.

Alternative Hypothesis (H1): Significant difference in wheat yield between at least one pair of states.

anova_wheat_yield <- aov(wheat_yield_kg_per_ha ~ state_name, data = wheat_data)
summary(anova_wheat_yield)
##                Df    Sum Sq   Mean Sq F value Pr(>F)    
## state_name     19 1.074e+10 565029057    1119 <2e-16 ***
## Residuals   16126 8.140e+09    504761                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Interpretation :- With a very small p-value (< 0.05), reject the null hypothesis. There is a significant difference in wheat yield between states.

———————————————————

1.3

ANOVA 2: Analyze the effect of year on maize yield.

Null Hypothesis (H0): No significant difference in maize yield across years.

Alternative Hypothesis (H1): Significant difference in maize yield across at least one year.

anova_maize_yield_year <- aov(maize_yield_kg_per_ha ~ factor(year), data = ICRISAT)
summary(anova_maize_yield_year)
##                 Df    Sum Sq  Mean Sq F value Pr(>F)    
## factor(year)    51 4.084e+09 80080912   68.39 <2e-16 ***
## Residuals    16094 1.884e+10  1170869                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Interpretation :- With a very small p-value (< 0.05), reject the null hypothesis. There is a significant difference in maize yield across years.

———————————————————

1.3

Simple Linear Regression:

Model Relationship Between Area and Production for Maize( Area vs. Production for Maize)

simple_regression_maize <- lm(maize_production_1000tons ~ maize_area_1000ha, data = ICRISAT)
# Summary of the model
summary(simple_regression_maize)
## 
## Call:
## lm(formula = maize_production_1000tons ~ maize_area_1000ha, data = ICRISAT)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -303.13   -6.08    1.19    1.86 1188.31 
## 
## Coefficients:
##                   Estimate Std. Error t value Pr(>|t|)    
## (Intercept)       -1.85684    0.44409  -4.181 2.91e-05 ***
## maize_area_1000ha  1.88400    0.01104 170.598  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 48.86 on 16144 degrees of freedom
## Multiple R-squared:  0.6432, Adjusted R-squared:  0.6432 
## F-statistic: 2.91e+04 on 1 and 16144 DF,  p-value: < 2.2e-16
# Plot the regression line
ggplot(ICRISAT, aes(x = maize_area_1000ha, y = maize_production_1000tons)) +
  geom_point(color = 'blue') +
  geom_smooth(method = 'lm', color = 'red') +
  labs(title = 'Simple Linear Regression: Maize Production vs. Area',
       x = 'Maize Area (1000 ha)', y = 'Maize Production (1000 tons)') +
  theme_minimal()

Interpretation: The plot shows a positive linear relationship between maize area and maize production. l As the Maize Area (x-axis) increases, the Maize Production (y-axis) also increases — points trend upward. The red line (regression line) slopes upward, showing a positive relationship.

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1.4

Multiple Linear Regression:

Predict Yield Using Area, Production, and State (Predict Maize Yield)

multiple_regression_maize <- lm(maize_yield_kg_per_ha ~ maize_area_1000ha + maize_production_1000tons + state_name, data = ICRISAT)
# Summary of the model
summary(multiple_regression_maize)
## 
## Call:
## lm(formula = maize_yield_kg_per_ha ~ maize_area_1000ha + maize_production_1000tons + 
##     state_name, data = ICRISAT)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -6330.7  -387.8   -44.3   344.2 20296.2 
## 
## Coefficients:
##                              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 2771.1755    36.7213   75.47   <2e-16 ***
## maize_area_1000ha            -14.2577     0.3522  -40.48   <2e-16 ***
## maize_production_1000tons     10.4973     0.1483   70.77   <2e-16 ***
## state_nameAssam            -1954.4906    52.9989  -36.88   <2e-16 ***
## state_nameBihar            -1291.2931    52.7464  -24.48   <2e-16 ***
## state_nameChhattisgarh     -1491.2628    61.5959  -24.21   <2e-16 ***
## state_nameGujarat          -1719.7050    46.7365  -36.80   <2e-16 ***
## state_nameHaryana          -1786.3246    58.6336  -30.47   <2e-16 ***
## state_nameHimachal Pradesh -1005.4017    53.1183  -18.93   <2e-16 ***
## state_nameJharkhand        -1569.1894    62.5631  -25.08   <2e-16 ***
## state_nameKarnataka         -587.1615    45.9422  -12.78   <2e-16 ***
## state_nameKerala           -2726.8697    53.0948  -51.36   <2e-16 ***
## state_nameMadhya Pradesh   -1573.6552    41.9425  -37.52   <2e-16 ***
## state_nameMaharashtra      -1588.4516    43.6504  -36.39   <2e-16 ***
## state_nameOrissa           -1570.9338    49.7540  -31.57   <2e-16 ***
## state_namePunjab            -849.3102    51.8112  -16.39   <2e-16 ***
## state_nameRajasthan        -1850.4769    44.6140  -41.48   <2e-16 ***
## state_nameTamil Nadu       -1201.1451    50.4540  -23.81   <2e-16 ***
## state_nameTelangana        -1063.9191    54.8296  -19.40   <2e-16 ***
## state_nameUttar Pradesh    -1605.4503    41.2592  -38.91   <2e-16 ***
## state_nameUttarakhand      -1768.1483    56.3370  -31.39   <2e-16 ***
## state_nameWest Bengal      -1257.5091    48.1816  -26.10   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 871.1 on 16124 degrees of freedom
## Multiple R-squared:  0.4664, Adjusted R-squared:  0.4657 
## F-statistic:   671 on 21 and 16124 DF,  p-value: < 2.2e-16
# Plot the model results for Punjab.
state_data <- subset(ICRISAT, state_name == 'Punjab')
# Plot the regression line
ggplot(state_data, aes(x = maize_area_1000ha, y = maize_yield_kg_per_ha)) +
  geom_point(color = 'green') +
  geom_smooth(method = 'lm', color = 'purple') +
  labs(title = 'Multiple Linear Regression: Maize Yield vs. Area (Punjab)',
       x = 'Maize Area (1000 ha)', y = 'Maize Yield (kg/ha)') +
  theme_minimal()

Interpretation: The plot shows a negative linear relationship between maize area and maize yield. As the Maize Area (x-axis) increases, the Maize Yield (y-axis) slightly decreases — points trend downward. The purple line (regression line) slopes downward, showing a negative relationship.

———————————————————

1.5

Correlation:

Check correlation across rice, wheat, and maize — area, production, and yield.

# Select Area, Production, Yield columns for rice, wheat, maize
cereals_data <- ICRISAT[, c("rice_area_1000ha", "rice_production_1000tons", "rice_yield_kg_per_ha",
                            "wheat_area_1000ha", "wheat_production_1000tons", "wheat_yield_kg_per_ha",
                            "maize_area_1000ha", "maize_production_1000tons", "maize_yield_kg_per_ha")]
# Calculate correlation matrix
cor_cereals <- cor(cereals_data, use = "complete.obs", method = "pearson")
# Visualize
corrplot(cor_cereals, method = "color", addCoef.col = "black", number.cex = 0.7)

Interpretation: There is a strong positive correlation between area and production for all three crops (rice, wheat, and maize). Increasing the area under cultivation significantly boosts total production for each crop. Cross-crop relationships (e.g., rice vs wheat, wheat vs maize) show weak correlations. This suggests that production trends across crops are independent and not strongly linked to each other.

—————————————————

K-MEANS CLUSTERING

—————————————————

1. Identify clusters of districts based on their crop yield patterns.

# Create district-level average dataset
dist_df <- ICRISAT %>%
  mutate(across(contains("YIELD"), ~ifelse(. == -1, NA, .))) %>%   # replace -1 with NA
  group_by(state_name, district_name) %>%
  summarise(
    RICE = mean(rice_yield_kg_per_ha, na.rm = TRUE),
    WHEAT = mean(wheat_yield_kg_per_ha, na.rm = TRUE),
    MAIZE = mean(maize_yield_kg_per_ha, na.rm = TRUE),
    GROUNDNUT = mean(groundnut_yield_kg_per_ha, na.rm = TRUE)
  ) %>%
  ungroup()

# Select numeric columns for clustering
cluster_data <- dist_df %>% select(RICE, WHEAT, MAIZE, GROUNDNUT)

# Scale the data
scaled_data <- scale(cluster_data)

set.seed(42)
km <- kmeans(scaled_data, centers = 3, nstart = 25)

# Add cluster labels to dataset
dist_df$cluster <- as.factor(km$cluster)

# For plotting
plot_df <- dist_df %>% select(cluster, RICE, WHEAT)

# --- Compute centroids ---
centroids <- plot_df %>%
  group_by(cluster) %>%
  summarise(
    RICE = mean(RICE),
    WHEAT = mean(WHEAT)
  )

# --- Convex hull function ---
get_hull <- function(df) df[chull(df$RICE, df$WHEAT), ]

# --- Compute hulls ---
hulls <- plot_df %>% group_by(cluster) %>% do(get_hull(.))

# --- FINAL PLOT ---
ggplot() +
  geom_polygon(data = hulls,
               aes(x = RICE, y = WHEAT, fill = cluster, group = cluster),
               alpha = 0.25, color = "black") +
  geom_point(data = plot_df,
             aes(x = RICE, y = WHEAT, color = cluster),
             size = 4.2, alpha = 0.9) +
  geom_point(data = centroids,
             aes(x = RICE, y = WHEAT),
             shape = 21, color = "black", fill = "black",
             size = 5) +
  geom_text(data = centroids,
            aes(x = RICE, y = WHEAT, label = cluster),
            vjust = -1, fontface = "bold", size = 4) +
  labs(
    title = "K-means Clusters with Convex Hulls (District-Level Average Yields)",
    x = "Average Rice Yield (Kg per ha)",
    y = "Average Wheat Yield (Kg per ha)",
    color = "Cluster",
    fill = "Cluster"
  ) +
  theme_minimal()

INTERPRETATION: The K-means clustering on district-level average yields grouped the districts into three clear agricultural patterns. Cluster 1 represents districts with moderate rice but very low wheat yields, indicating rice-focused regions. Cluster 2 consists of high-performing districts with strong wheat yields and good rice productivity, typically well-irrigated wheat–rice belts. Cluster 3 covers districts with moderate rice and medium wheat yields, reflecting balanced but mid-level productivity. Overall, the clusters effectively highlight long-term differences in district-level agricultural performance.

—————————————————

KNN CLASSIFICATION

—————————————————

1. Predict district productivity levels using crop yield features.

# Creating district-level average yields (Rice, Wheat, Maize, Groundnut)
knn_df <- ICRISAT %>%
  # Replace -1 values with NA
  mutate(across(contains("YIELD"), ~ifelse(. == -1, NA, .))) %>%
  
  # Group by district and state
  group_by(state_name, district_name) %>%
  
  # Calculate average yields for each district
  summarise(
    RICE = mean(rice_yield_kg_per_ha, na.rm = TRUE),
    WHEAT = mean(wheat_yield_kg_per_ha, na.rm = TRUE),
    MAIZE = mean(maize_yield_kg_per_ha, na.rm = TRUE),
    GROUNDNUT = mean(groundnut_yield_kg_per_ha, na.rm = TRUE)
  ) %>%
  ungroup()


# Calculate overall average yield for classification target
knn_df <- knn_df %>%
  mutate(
    TOTAL_AVG = (RICE + WHEAT + MAIZE + GROUNDNUT) / 4
  )

# Define cut points for class creation
low_cut  <- quantile(knn_df$TOTAL_AVG, 0.33)   # bottom 33%
high_cut <- quantile(knn_df$TOTAL_AVG, 0.67)   # top 33%

# Create classification target variable
knn_df <- knn_df %>%
  mutate(
    CLASS = case_when(
      TOTAL_AVG <= low_cut  ~ "Low",     # low productivity
      TOTAL_AVG >= high_cut ~ "High",    # high productivity
      TRUE                  ~ "Medium"   # middle range
    )
  )

# Convert CLASS to factor
knn_df$CLASS <- as.factor(knn_df$CLASS)

set.seed(42)  # for reproducibility

# Create train-test split (70% training, 30% testing)
index <- createDataPartition(knn_df$CLASS, p = 0.7, list = FALSE)

train <- knn_df[index, ]     # training data
test  <- knn_df[-index, ]    # testing data

# Prepare predictors (X variables)
train_x <- train[, c("RICE", "WHEAT", "MAIZE", "GROUNDNUT")]
test_x  <- test[, c("RICE", "WHEAT", "MAIZE", "GROUNDNUT")]

# Target variable
train_y <- train$CLASS
test_y  <- test$CLASS

# Train control with 5-fold cross-validation
ctrl <- trainControl(method = "cv", number = 5)

# Train KNN classification model
knn_model <- train(
  CLASS ~ RICE + WHEAT + MAIZE + GROUNDNUT,
  data = train,
  method = "knn",
  trControl = ctrl,
  tuneLength = 10   # try k = 1 to 10
)

# Show the best k and accuracy results
knn_model
## k-Nearest Neighbors 
## 
## 220 samples
##   4 predictor
##   3 classes: 'High', 'Low', 'Medium' 
## 
## No pre-processing
## Resampling: Cross-Validated (5 fold) 
## Summary of sample sizes: 175, 177, 176, 175, 177 
## Resampling results across tuning parameters:
## 
##   k   Accuracy   Kappa    
##    5  0.8768076  0.8151994
##    7  0.8770143  0.8156657
##    9  0.8863167  0.8295816
##   11  0.8998567  0.8498182
##   13  0.8815645  0.8223870
##   15  0.8721611  0.8082446
##   17  0.8763989  0.8146852
##   19  0.8677167  0.8016488
##   21  0.8904534  0.8356547
##   23  0.8767066  0.8150700
## 
## Accuracy was used to select the optimal model using the largest value.
## The final value used for the model was k = 11.
# Predict classes for test dataset
pred <- predict(knn_model, newdata = test)

# Confusion matrix for accuracy evaluation
confusionMatrix(pred, test_y)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction High Low Medium
##     High     29   0      3
##     Low       0  28      5
##     Medium    1   2     23
## 
## Overall Statistics
##                                          
##                Accuracy : 0.8791         
##                  95% CI : (0.794, 0.9381)
##     No Information Rate : 0.3407         
##     P-Value [Acc > NIR] : < 2.2e-16      
##                                          
##                   Kappa : 0.8188         
##                                          
##  Mcnemar's Test P-Value : NA             
## 
## Statistics by Class:
## 
##                      Class: High Class: Low Class: Medium
## Sensitivity               0.9667     0.9333        0.7419
## Specificity               0.9508     0.9180        0.9500
## Pos Pred Value            0.9062     0.8485        0.8846
## Neg Pred Value            0.9831     0.9655        0.8769
## Prevalence                0.3297     0.3297        0.3407
## Detection Rate            0.3187     0.3077        0.2527
## Detection Prevalence      0.3516     0.3626        0.2857
## Balanced Accuracy         0.9587     0.9257        0.8460
# Add predictions to test dataset for plotting
test$PRED_CLASS <- pred

ggplot(test, aes(x = RICE, y = WHEAT,
                 color = PRED_CLASS,
                 shape = PRED_CLASS)) +
  
  # Filled, large, clean points
  geom_point(size = 5, alpha = 0.9, stroke = 1.2) +
  
  labs(
    title = "KNN Classification Results (Test Data)",
    x = "Average Rice Yield (Kg per ha)",
    y = "Average Wheat Yield (Kg per ha)",
    color = "Predicted Class",
    shape = "Predicted Class"
  ) +
  
  # Different colors for classes
  scale_color_manual(values = c(
    "High"   = "#E74C3C",   # Red
    "Low"    = "#27AE60",   # Green
    "Medium" = "#2980B9"    # Blue
  )) +
  
  # Different shapes for classes (triangle, circle, square)
  scale_shape_manual(values = c(
    "High"   = 17,   # triangle
    "Low"    = 19,   # filled circle
    "Medium" = 15    # square
  )) +
  
  theme_minimal(base_size = 14) +
  theme(
    plot.title = element_text(size = 16, face = "bold", hjust = 0.5),
    legend.title = element_text(size = 13),
    legend.text  = element_text(size = 12),
    panel.grid.major = element_line(color = "grey85", size = 0.4),
    panel.grid.minor = element_blank()
  )

INTERPRETATION: The KNN classification scatter plot shows how districts are predicted into High, Medium, and Low productivity classes based on their rice and wheat yields. High-productivity districts (red triangles) appear in the upper-right region with consistently higher yields, while Low-productivity districts (green circles) cluster toward the lower-yield areas. Medium-productivity districts (blue squares) fall in the middle range, overlapping partially with both High and Low groups. The overall pattern indicates that KNN successfully separates broad productivity levels, with expected overlap in mid-yield regions due to natural similarity in agricultural performance.