1 Descriptives

# Load required libraries
library(ggplot2)
library(tidyr)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(MCMCpack)
## Loading required package: coda
## Loading required package: MASS
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
## ##
## ## Markov Chain Monte Carlo Package (MCMCpack)
## ## Copyright (C) 2003-2025 Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park
## ##
## ## Support provided by the U.S. National Science Foundation
## ## (Grants SES-0350646 and SES-0350613)
## ##
library(ggpattern)

# Load the dataset
data = read.csv("ss_fund.csv") 

# Reshape the data into long format for plotting
data_long = data %>%
  pivot_longer(
    cols = c(Income, Cost, Contributions, Reserves),  # Columns to reshape
    names_to = "Metric",                             # New column for metric names
    values_to = "Value"                              # New column for values
  )

# Ensure numeric conversion for the values
data_long$Value = as.numeric(gsub(",", "", data_long$Value)) / 1e3  # Convert to billions

# Create future years for projections
future_years = data.frame(Year = seq(max(data_long$Year) + 1, 2035))

# Function to generate projections for a given program and metric
generate_projections = function(program, metric, degree = 2) {
  model = lm(Value ~ poly(Year, degree), 
              data = data_long %>% filter(Program == program, Metric == metric))
  data.frame(
    Year = future_years$Year,
    Program = program,
    Metric = metric,
    Value = predict(model, newdata = future_years)
  )
}

# Function to generate linear projections (for DI only)
generate_linear_projections = function(program, metric) {
  model = lm(Value ~ Year, 
              data = data_long %>% filter(Program == program, Metric == metric))
  data.frame(
    Year = future_years$Year,
    Program = program,
    Metric = metric,
    Value = predict(model, newdata = future_years)
  )
}

# Generate projections for OASI (nonlinear)
oasi_projections = bind_rows(
  generate_projections("OASI", "Reserves", degree = 3),
  generate_projections("OASI", "Income", degree = 2),
  generate_projections("OASI", "Cost", degree = 2),
  generate_projections("OASI", "Contributions", degree = 2)
)

# Generate projections for DI (linear)
di_projections = bind_rows(
  generate_linear_projections("DI", "Reserves"),
  generate_linear_projections("DI", "Income"),
  generate_linear_projections("DI", "Cost"),
  generate_linear_projections("DI", "Contributions")
)

# Combine original data and projections
data_combined = bind_rows(data_long, oasi_projections, di_projections)

# Plot with line types to aid grayscale readability
ggplot(data_combined, aes(x = Year, y = Value, color = Metric, linetype = Metric)) +
  geom_line(data = data_combined %>% filter(Year <= max(data_long$Year)), linewidth = 1) +  # Original data
  geom_line(data = data_combined %>% filter(Year > max(data_long$Year)), 
            linewidth = 1) +                                                                # Projections (same linetype)
  facet_grid(factor(Program, levels = c("OASI", "DI")) ~ ., scales = "free_y") +
  scale_x_continuous(breaks = seq(min(data_long$Year), 2035, by = 5)) +
  scale_y_continuous(labels = scales::label_number(suffix = "B")) +
  labs(
    title = "OASI and DI Trust Fund: Historical Data and Projections (Through 2035)",
    x = "Year",
    y = "Value (Billions)",
    color = "Metric",
    linetype = "Metric"
  ) +
  theme_minimal() +
  theme(
    legend.position = "bottom",
    strip.text.y = element_text(face = "bold", size = 12),
    axis.text.x = element_text(angle = 45, hjust = 1)
  )

# DI as a Percent of OASDI

# Load required libraries
library(ggplot2)
library(dplyr)

# Data for DI % of OASDI
data = data.frame(
  Year = c(1983:2024),
  DI_Percent = c(
    11.6, 8.8, 8.8, 8.8, 8.8, 8.7, 8.7, 9.7, 9.7, 9.7, 9.7, 15.2, 15.2, 15.2, 13.7, 13.7,
    13.7, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5,
    14.5, 14.5, 14.5, 19.1, 19.1, 19.1, 14.5, 14.5, 14.5, 14.5, 14.5, 14.5
  )
)

# Calculate the drift model
# Connects the first point to the last point with a straight line
first_point = data$DI_Percent[1]
last_point = data$DI_Percent[nrow(data)]
drift_slope = (last_point - first_point) / (data$Year[nrow(data)] - data$Year[1])

data$Drift = first_point + drift_slope * (data$Year - data$Year[1])

# Plot the data with drift model
ggplot(data, aes(x = Year, y = DI_Percent)) +
  geom_line(color = "blue", size = 1.2, aes(group = 1)) +  # Original line
  geom_line(aes(y = Drift), color = "darkred", linetype = "dotted", size = 1) +  # Drift model
  labs(
    title = "DI as a Percent of OASDI Over Time (with Drift Model)",
    x = "Year",
    y = "DI Percent of OASDI"
  ) +
  scale_x_continuous(breaks = seq(1983, 2024, by = 5)) +  # 5-year ticks
  scale_y_continuous(limits = c(0, 21), breaks = seq(0, 21, by = 3)) +  # Set y-axis range and ticks
  theme_minimal() +
  theme(
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    axis.text.x = element_text(angle = 45, hjust = 1)
  )
## Warning: Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.
## ℹ Please use `linewidth` instead.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

# Max Taxable Earnings & National Average Wage Index

MaxTaxableEarnings = c(
    rep(3000,14), rep(3600,4),rep(4200,4),
    rep(4800,7), rep(6600,2), rep(7800, 4),
    9000,10800,13200,14100,15300,16500,17700,
    22900, 25900, 29700, 32400, 35700, 37800,
    39600,42000, 43800, 45000, 48000, 51300,
    53400, 55500, 57600, 60600,61200, 62700,
    65400, 68400,72600, 76200, 80400,84900, 
    87000, 87900,90000, 94200, 97500, 102000, 
    106800, 106800, 106800, 110100, 113700, 117000,
    118500, 118500, 127200, 128400, 132900, 137700,
    142800, 147000, 160200, 168600
  )

#CPI All Consumers, BLS 
cpi_values = c(
  21.67673611, 22.13794326, 22.45647482, 22.29607143, 21.23435374, 19.15,
  18.04306358, 17.73551136, 17.34138889, 16.0074359, 13.99753363, 12.95207469,
  13.11533613, 12.95207469, 12.00557692, 11.7790566, 11.69082397, 11.60390335,
  11.64720149, 11.47591912, 11.10836299, 10.80086505, 10.7266323, 10.54543919,
  10.43963211, 10.33592715, 10.20081699, 10.06919355, 9.909365079, 9.634104938,
  9.345658683, 8.969683908, 8.505313351, 8.044974227, 7.707283951, 7.467583732,
  7.030292793, 6.331541582, 5.801951673, 5.485852373, 5.150907591, 4.7875,
  4.299517906, 3.788167476, 3.433938394, 3.234663212, 3.133985944, 3.004282964,
  2.900975836, 2.848038321, 2.747755282, 2.638588335, 2.517298387, 2.388255547,
  2.29181351, 2.224839629, 2.16017301, 2.106241565, 2.048195538, 1.98945188,
  1.94482866, 1.915, 1.873619448, 1.812688734, 1.762535291, 1.735102835,
  1.696440217, 1.652435151, 1.59828469, 1.548338294, 1.505459579, 1.449794011,
  1.454970471, 1.431490076, 1.387687329, 1.359552079, 1.339925394, 1.31853626,
  1.316973044, 1.300566233, 1.2734375, 1.243075661, 1.220952292, 1.206073158,
  1.151954091, 1.066597188, 1.024427145, 1
)


# Calculate inflation-adjusted earnings
inflation_adjusted_earnings = MaxTaxableEarnings * cpi_values

years = 1937:2024
# Create a data frame
data = data.frame(Year = years, 
                   Max_Taxable_Earnings = MaxTaxableEarnings,
  Inflation_Adjusted_Earnings = inflation_adjusted_earnings)

# Plot the data
ggplot(data, aes(x = Year)) +
  geom_line(aes(y = Max_Taxable_Earnings, color = "Max Taxable Earnings"), size = 1) +
  geom_line(aes(y = Inflation_Adjusted_Earnings, color = "Inflation-Adjusted Max Taxable Earnings"), size = 1, linetype = "dashed") +
  labs(
    title = "Max Taxable Earnings & Inflation-Adjusted Max Taxable Earnings (2024 dollars)",
    x = "Year",
    y = "Earnings (USD)",
    color = NULL
  ) +
  theme_minimal() +
  theme(
    legend.position = "inside",                     # Use the inside option
    legend.justification = c(0.1, 0.9)
  )

# Tax Rates

# Load required libraries
library(ggplot2)
library(tidyr)
library(dplyr)

# Read the CSV file into R
data = read.csv("tax_rates.csv")

# Reshape the data to a long format for ggplot
data_long = data %>%
  pivot_longer(
    cols = -Year, # All columns except Year
    names_to = "Variable", # New column for variable names
    values_to = "Value"    # New column for values
  ) %>%
  mutate(
    LineType = ifelse(grepl("\\.SE$", Variable), "Self-Employed", "Employed"), # Line types
    ColorGroup = case_when(
      grepl("OASI", Variable) ~ "OASI",
      grepl("DI", Variable) ~ "DI",
      grepl("Total", Variable) ~ "Total",
      TRUE ~ "Other"
    ) # Grouping for colors
  )

# Create the ggplot
ggplot(data_long, aes(x = Year, y = Value, color = ColorGroup, linetype = LineType)) +
  geom_line(size = 1) +
  labs(
    title = "Social Security Tax Rates Over Time",
    x = "Year",
    y = "Tax Rate (%)",
    color = "Tax Component",
    linetype = "Type"
  ) +
  scale_x_continuous(
    limits = c(1937, 2024), # Set axis limits to truncate at 2024
    breaks = seq(1940, 2024, by = 10) # Tick marks every decade
  ) +
  theme_minimal() +
  theme(
    legend.position = "top",
    legend.title = element_text(size = 12),
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold")
  )

# Maximum Tax by Year over Time

# Load necessary libraries
library(ggplot2)
library(dplyr)

# Data for historical tax rates and CPI values
historical_data = data.frame(
  Year = c(1937:2024),
  EmployeeRate = c(
    rep(0.02, 13), rep(0.03, 4), rep(0.04, 3), rep(0.045, 2), 0.05, 0.06, 0.06, 0.0625, rep(0.0725, 3),
    0.077, 0.078, 0.076, 0.084, 0.084, 0.092, 0.092, 0.097, rep(0.099, 4), 0.101, 0.1016, 0.1016,
    0.107, 0.108, 0.108, rep(0.114, 4), 0.1212, 0.1212, rep(0.124, 21), 0.104, 0.104, rep(0.124, 12)
  )/2,
  MaxTaxableEarnings = c(
    rep(3000, 14), rep(3600, 4), rep(4200, 4),
    rep(4800, 7), rep(6600, 2), rep(7800, 4),
    9000, 10800, 13200, 14100, 15300, 16500, 17700,
    22900, 25900, 29700, 32400, 35700, 37800,
    39600, 42000, 43800, 45000, 48000, 51300,
    53400, 55500, 57600, 60600, 61200, 62700,
    65400, 68400, 72600, 76200, 80400, 84900,
    87000, 87900, 90000, 94200, 97500, 102000,
    106800, 106800, 106800, 110100, 113700, 117000,
    118500, 118500, 127200, 128400, 132900, 137700,
    142800, 147000, 160200, 168600
  ),
  CPI = c(
    21.67673611, 22.13794326, 22.45647482, 22.29607143, 21.23435374, 19.15,
    18.04306358, 17.73551136, 17.34138889, 16.0074359, 13.99753363, 12.95207469,
    13.11533613, 12.95207469, 12.00557692, 11.7790566, 11.69082397, 11.60390335,
    11.64720149, 11.47591912, 11.10836299, 10.80086505, 10.7266323, 10.54543919,
    10.43963211, 10.33592715, 10.20081699, 10.06919355, 9.909365079, 9.634104938,
    9.345658683, 8.969683908, 8.505313351, 8.044974227, 7.707283951, 7.467583732,
    7.030292793, 6.331541582, 5.801951673, 5.485852373, 5.150907591, 4.7875,
    4.299517906, 3.788167476, 3.433938394, 3.234663212, 3.133985944, 3.004282964,
    2.900975836, 2.848038321, 2.747755282, 2.638588335, 2.517298387, 2.388255547,
    2.29181351, 2.224839629, 2.16017301, 2.106241565, 2.048195538, 1.98945188,
    1.94482866, 1.915, 1.873619448, 1.812688734, 1.762535291, 1.735102835,
    1.696440217, 1.652435151, 1.59828469, 1.548338294, 1.505459579, 1.449794011,
    1.454970471, 1.431490076, 1.387687329, 1.359552079, 1.339925394, 1.31853626,
    1.316973044, 1.300566233, 1.2734375, 1.243075661, 1.220952292, 1.206073158,
    1.151954091, 1.066597188, 1.024427145, 1
  )
)

# Compute raw and inflation-adjusted maximum tax
historical_data = historical_data %>%
  mutate(
    RawMaxTax = MaxTaxableEarnings * EmployeeRate ,  # Double for both employee and employer
    InflationAdjustedMaxTax = RawMaxTax * CPI  # Adjusted to 2024 dollars
  )

# Create the ggplot
ggplot(historical_data, aes(x = Year)) +
  geom_line(aes(y = RawMaxTax, color = "Raw Max Tax"), size = 1) +
  geom_line(aes(y = InflationAdjustedMaxTax, color = "Inflation-Adjusted Max Tax"), size = 1, linetype = "dashed") +
  labs(
    title = "Max Social Security Tax Over Time (Raw and Inflation-Adjusted)",
    x = "Year",
    y = "Maximum Tax (USD)",
    color = "Tax Type"
  ) +
  scale_x_continuous(breaks = seq(1940, 2024, by = 10)) +
  theme_minimal() +
  theme(
    plot.title = element_text(hjust = 0.5, size = 16, face = "bold"),
    legend.position = "top"
  )

2 Contour Plot of Taxed Benefit

library(ggplot2)
library(viridis)
## Loading required package: viridisLite
library(metR)  # For geom_text_contour

# Define the function to calculate taxable benefits
taxable_benefits = function(A, N, B, I) {
  T1 = 25000 * I + 32000 * (1 - I)
  T2 = 34000 * I + 44000 * (1 - I)
  C = A + N + 0.5 * B
  T_B = pmin(
    0.85 * B,
    0.5 * pmax(0, C - T1) + 0.35 * pmax(0, C - T2)
  )
  return(T_B)
}

# Generate data for individuals and couples
grid = expand.grid(
  B = seq(0, 50000, length.out = 200),
  A = seq(0, 100000, length.out = 200)
)

individual_data = grid
individual_data$T_B = with(individual_data, taxable_benefits(A, 0, B, I = 1))

couple_data = grid
couple_data$T_B = with(couple_data, taxable_benefits(A, 0, B, I = 0))

# Improved plot for Individuals
individual_plot = ggplot(individual_data, aes(x = B, y = A, z = T_B)) +
  geom_tile(aes(fill = T_B)) +
  geom_contour(color = "black", binwidth = 2000, size = 0.3) +
  geom_text_contour(aes(label = after_stat(level)), binwidth = 5000, size = 3) +
  scale_fill_viridis(name = "Taxable SS Benefits ($)", option = "plasma", direction = -1) +
  labs(
    title = "Taxable Social Security Benefits for Individuals",
    subtitle = "Based on combined income and benefit amount",
    x = "Annual SS Benefit (B, USD)",
    y = "Other Income (A, USD)",
    caption = "Up to 85% of benefits may be taxable depending on income levels"
  ) +
  theme_minimal(base_size = 13) +
  theme(
    plot.title = element_text(face = "bold", size = 16),
    legend.position = "right",
    axis.title.x = element_text(margin = margin(t = 10)),
    axis.title.y = element_text(margin = margin(r = 10))
  )

# Improved plot for Couples
couple_plot = ggplot(couple_data, aes(x = B, y = A, z = T_B)) +
  geom_tile(aes(fill = T_B)) +
  geom_contour(color = "black", binwidth = 2000, size = 0.3) +
  geom_text_contour(aes(label = after_stat(level)), binwidth = 5000, size = 3) +
  scale_fill_viridis(name = "Taxable SS Benefits ($)", option = "plasma", direction = -1) +
  labs(
    title = "Taxable Social Security Benefits for Couples",
    subtitle = "Based on combined income and benefit amount",
    x = "Annual SS Benefit (B, USD)",
    y = "Other Income (A, USD)",
    caption = "Married filers face higher income thresholds before benefits are taxed"
  ) +
  theme_minimal(base_size = 13) +
  theme(
    plot.title = element_text(face = "bold", size = 16),
    legend.position = "right",
    axis.title.x = element_text(margin = margin(t = 10)),
    axis.title.y = element_text(margin = margin(r = 10))
  )

# Display the plots
print(individual_plot)

print(couple_plot)

3 Individual Retirement Considerations

library(ggplot2)
library(readr)
library(dplyr)
library(viridis)  # For beautiful color scales
library(metR)
library(ggrepel)  # Optional for better contour label placement

# Read the PIA data
pia_data = read_csv("PIA.csv")
## Rows: 279 Columns: 3
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (3): Income, Age, PIA
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
# Make sure columns are correctly named
# Expected columns: Income (in 1000s), Age, PIA (in 1000s)
# If not, rename appropriately:
# pia_data = rename(pia_data, Income = ..., Age = ..., PIA = ...)

# Create the plot
ggplot(pia_data, aes(x = Income, y = Age, z = PIA)) +
  geom_tile(aes(fill = PIA), alpha = 0.9) +
  geom_contour(color = "black", binwidth = 0.5) +
  geom_text_contour(aes(label = after_stat(level)), 
                    binwidth = 0.5, 
                    color = "black", 
                    size = 3, 
                    stroke = 0.2) +
  scale_fill_viridis(name = "PIA ($000s)", option = "viridis", direction = -1) +
  scale_x_continuous(breaks = seq(10, 160, by = 10), name = "Average Annual Covered Earnings (in $000s)") +
  scale_y_continuous(breaks = seq(62, 80, by = 1), expand = expansion(mult = c(0.02, 0.02))) +
  labs(
    title = "Social Security Primary Insurance Amount (PIA) by Retirement Age and Income",
    subtitle = "Estimates assume full career earnings; benefits plateau after age 70",
    caption = "PIA increases with average covered earnings and delayed retirement until age 70."
  ) +
  theme_minimal(base_size = 13) +
  theme(
    plot.title = element_text(face = "bold", size = 16),
    legend.position = "right",
    axis.title.y = element_text(margin = margin(r = 10)),
    axis.title.x = element_text(margin = margin(t = 10))
  )

4 Libraries

require(EnvStats)
## Loading required package: EnvStats
## 
## Attaching package: 'EnvStats'
## The following object is masked from 'package:MASS':
## 
##     boxcox
## The following objects are masked from 'package:stats':
## 
##     predict, predict.lm
require(fitdistrplus)
## Loading required package: fitdistrplus
## Loading required package: survival
library(fredr)
require(fpp3)
## Loading required package: fpp3
## Registered S3 method overwritten by 'tsibble':
##   method               from 
##   as_tibble.grouped_df dplyr
## ── Attaching packages ──────────────────────────────────────────── fpp3 1.0.1 ──
## ✔ tibble      3.2.1     ✔ tsibbledata 0.4.1
## ✔ lubridate   1.9.4     ✔ feasts      0.4.1
## ✔ tsibble     1.1.6     ✔ fable       0.4.1
## ── Conflicts ───────────────────────────────────────────────── fpp3_conflicts ──
## ✖ lubridate::date()    masks base::date()
## ✖ dplyr::filter()      masks stats::filter()
## ✖ tsibble::intersect() masks base::intersect()
## ✖ tsibble::interval()  masks lubridate::interval()
## ✖ dplyr::lag()         masks stats::lag()
## ✖ MASS::select()       masks dplyr::select()
## ✖ tsibble::setdiff()   masks base::setdiff()
## ✖ tsibble::union()     masks base::union()
require(ggplot2)
require(kableExtra)
## Loading required package: kableExtra
## 
## Attaching package: 'kableExtra'
## The following object is masked from 'package:dplyr':
## 
##     group_rows
require(latex2exp)
## Loading required package: latex2exp
require(MASS)
require(psych)
## Loading required package: psych
## 
## Attaching package: 'psych'
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
require(readxl)
## Loading required package: readxl
require(ResourceSelection)
## Loading required package: ResourceSelection
## ResourceSelection 0.3-6   2023-06-27
require(tidyverse)
## Loading required package: tidyverse
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats 1.0.0     ✔ stringr 1.5.1
## ✔ purrr   1.0.4     
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ psych::%+%()             masks ggplot2::%+%()
## ✖ psych::alpha()           masks ggplot2::alpha()
## ✖ purrr::cross()           masks metR::cross()
## ✖ dplyr::filter()          masks stats::filter()
## ✖ kableExtra::group_rows() masks dplyr::group_rows()
## ✖ tsibble::interval()      masks lubridate::interval()
## ✖ dplyr::lag()             masks stats::lag()
## ✖ MASS::select()           masks dplyr::select()
## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
require(magrittr)
## Loading required package: magrittr
## 
## Attaching package: 'magrittr'
## 
## The following object is masked from 'package:purrr':
## 
##     set_names
## 
## The following object is masked from 'package:tidyr':
## 
##     extract
require(eia)
## Loading required package: eia
## EIA_KEY not found. See `vignette("api", "eia")` for key storage options.

5 Set Seed

set.seed(42)

6 Read Data

6.1 3-Month TBill Compounding Factor by Year

##    Index Year Inflation SSMin      SS10.    SSMedian       SS90.    SSMax
## 1      1 1937     0.971     0   27.84924    57.36264    92.15076   120.00
## 2      2 1938     1.028     0   27.84924    57.36264    92.15076   120.00
## 3      3 1939     1.000     0   27.84924    57.36264    92.15076   120.00
## 4      4 1940     0.993     0   27.84924    57.36264    92.15076   120.00
## 5      5 1941     0.901     0   27.84924    57.36264    92.15076   120.00
## 6      6 1942     0.910     0   27.84924    57.36264    92.15076   120.00
## 7      7 1943     0.970     0   27.84924    57.36264    92.15076   120.00
## 8      8 1944     0.977     0   27.84924    57.36264    92.15076   120.00
## 9      9 1945     0.978     0   27.84924    57.36264    92.15076   120.00
## 10    10 1946     0.819     0   27.84924    57.36264    92.15076   120.00
## 11    11 1947     0.912     0   27.84924    57.36264    92.15076   120.00
## 12    12 1948     0.970     0   27.84924    57.36264    92.15076   120.00
## 13    13 1949     1.021     0   27.84924    57.36264    92.15076   120.00
## 14    14 1950     0.941     0   41.77386    86.04396   138.22614   180.00
## 15    15 1951     0.940     0   50.12863   103.25275   165.87137   216.00
## 16    16 1952     0.992     0   50.12863   103.25275   165.87137   216.00
## 17    17 1953     0.993     0   50.12863   103.25275   165.87137   216.00
## 18    18 1954     1.007     0   66.83818   137.67034   221.16182   288.00
## 19    19 1955     0.996     0   77.97787   160.61539   258.02213   336.00
## 20    20 1956     0.970     0   77.97787   160.61539   258.02213   336.00
## 21    21 1957     0.971     0   87.72511   180.69232   290.27489   378.00
## 22    22 1958     0.982     0   87.72511   180.69232   290.27489   378.00
## 23    23 1959     0.983     0  111.39696   229.45056   368.60304   480.00
## 24    24 1960     0.986     0  133.67635   275.34067   442.32365   576.00
## 25    25 1961     0.993     0  133.67635   275.34067   442.32365   576.00
## 26    26 1962     0.987     0  139.24620   286.81320   460.75380   600.00
## 27    27 1963     0.984     0  161.52559   332.70331   534.47441   696.00
## 28    28 1964     0.990     0  161.52559   332.70331   534.47441   696.00
## 29    29 1965     0.981     0  161.52559   332.70331   534.47441   696.00
## 30    30 1966     0.965     0  235.88306   485.86156   780.51694  1016.40
## 31    31 1967     0.970     0  238.94648   492.17145   790.65352  1029.60
## 32    32 1968     0.953     0  275.15049   566.74288   910.44951  1185.60
## 33    33 1969     0.938     0  304.11370   626.40003  1006.28630  1310.40
## 34    34 1970     0.944     0  304.11370   626.40003  1006.28630  1310.40
## 35    35 1971     0.967     0  333.07691   686.05717  1102.12309  1435.20
## 36    36 1972     0.966     0  384.31951   791.60443  1271.68049  1656.00
## 37    37 1973     0.913     0  486.24773  1001.55169  1608.95227  2095.20
## 38    38 1974     0.877     0  606.55645  1249.35830  2007.04355  2613.60
## 39    39 1975     0.931     0  647.91257  1334.54182  2143.88743  2791.80
## 40    40 1976     0.951     0  703.05406  1448.11985  2326.34594  3029.40
## 41    41 1977     0.933     0  758.19556  1561.69787  2508.80444  3267.00
## 42    42 1978     0.910     0  829.76811  1709.11986  2745.63189  3575.40
## 43    43 1979     0.867     0 1079.91926  2224.37021  3573.36074  4653.28
## 44    44 1980     0.875     0 1221.39340  2515.77242  4041.48660  5262.88
## 45    45 1981     0.911     0 1475.03500  3038.21223  4880.76500  6355.80
## 46    46 1982     0.962     0 1624.16768  3345.38917  5374.23232  6998.40
## 47    47 1983     0.962     0 1789.59216  3686.12325  5921.60784  7711.20
## 48    48 1984     0.961     0 2000.13242  4119.78481  6618.26758  8618.40
## 49    49 1985     0.962     0 2095.37682  4315.96503  6933.42318  9028.80
## 50    50 1986     0.989     0 2222.36935  4577.53867  7353.63065  9576.00
## 51    51 1987     0.956     0 2317.61375  4773.71890  7668.78625  9986.40
## 52    52 1988     0.956     0 2531.49592  5214.26398  8376.50408 10908.00
## 53    53 1989     0.954     0 2700.26231  5561.88157  8934.93769 11635.20
## 54    54 1990     0.939     0 2952.57643  6081.58709  9769.82358 12722.40
## 55    55 1991     0.969     0 3073.44213  6330.54095 10169.75787 13243.20
## 56    56 1992     0.971     0 3194.30783  6579.49481 10569.69217 13764.00
## 57    57 1993     0.973     0 3315.17353  6828.44867 10969.62647 14284.80
## 58    58 1994     0.973     0 3487.83882  7184.09703 11540.96118 15028.80
## 59    59 1995     0.975     0 3522.37187  7255.22671 11655.22812 15177.60
## 60    60 1996     0.967     0 3608.70452  7433.05089 11940.89548 15549.60
## 61    61 1997     0.983     0 3764.10328  7753.13442 12455.09672 16219.20
## 62    62 1998     0.984     0 3936.76857  8108.78279 13026.43143 16963.20
## 63    63 1999     0.973     0 4178.49997  8606.69051 13826.30003 18004.80
## 64    64 2000     0.966     0 4385.69831  9033.46855 14511.90168 18897.60
## 65    65 2001     0.984     0 4627.42972  9531.37626 15311.77028 19939.20
## 66    66 2002     0.976     0 4886.42765 10064.84881 16168.77235 21055.20
## 67    67 2003     0.981     0 5007.29335 10313.80267 16568.70665 21576.00
## 68    68 2004     0.967     0 5059.09294 10420.49718 16740.10706 21799.20
## 69    69 2005     0.966     0 5179.95864 10669.45104 17140.04136 22320.00
## 70    70 2006     0.975     0 5421.69004 11167.35876 17939.90996 23361.60
## 71    71 2007     0.959     0 5611.62186 11558.57196 18568.37814 24180.00
## 72    72 2008     0.999     0 5870.61979 12092.04451 19425.38021 25296.00
## 73    73 2009     0.973     0 6146.88425 12661.08190 20339.51575 26486.40
## 74    74 2010     0.985     0 6146.88425 12661.08190 20339.51575 26486.40
## 75    75 2011     0.970     0 6146.88425 12661.08190 20339.51575 26486.40
## 76    76 2012     0.983     0 6336.81607 13052.29511 20967.98393 27304.80
## 77    77 2013     0.985     0 6544.01441 13479.07315 21653.58558 28197.60
## 78    78 2014     0.992     0 6733.94623 13870.28635 22282.05377 29016.00
## 79    79 2015     0.993     0 6820.27888 14048.11054 22567.72112 29388.00
## 80    80 2016     0.979     0 6820.27888 14048.11054 22567.72112 29388.00
## 81    81 2017     0.979     0 7321.00821 15079.49080 24224.59179 31545.60
## 82    82 2018     0.981     0 7390.07433 15221.75015 24453.12567 31843.20
## 83    83 2019     0.977     0 7649.07226 15755.22270 25310.12774 32959.20
## 84    84 2020     0.986     0 7925.33672 16324.26009 26224.26328 34149.60
## 85    85 2021     0.993     0 8218.86771 16928.86232 27195.53229 35414.40
## 86    86 2022     0.935     0 8460.59911 17426.77003 27995.40089 36456.00
## 87    87 2023     0.966     0 9220.32638 18991.62285 30509.27362 39729.60
##    ThreeMoTBill TenYrTreas RetirementAge MaxTaxBracket Bend1 Bend2 BendF1
## 1      1.002418     1.0268         66.00          6000     0     0      0
## 2      1.000615     1.0256         66.00          6000     0     0      0
## 3      1.000407     1.0236         66.00          6000     0     0      0
## 4      1.000292     1.0221         66.00          6000     0     0      0
## 5      1.001035     1.0195         66.00          6000     0     0      0
## 6      1.003380     1.0246         66.00          6000     0     0      0
## 7      1.003800     1.0247         66.00          6000     0     0      0
## 8      1.003800     1.0248         66.00          6000     0     0      0
## 9      1.003800     1.0237         66.00          6000     0     0      0
## 10     1.003800     1.0219         66.00          6000     0     0      0
## 11     1.005567     1.0225         66.00          6000     0     0      0
## 12     1.010431     1.0244         66.00          6000     0     0      0
## 13     1.011135     1.0231         66.00          6000     0     0      0
## 14     1.011998     1.0232         66.00          6000     0     0      0
## 15     1.015134     1.0257         66.00          7200     0     0      0
## 16     1.017162     1.0268         66.00          7200     0     0      0
## 17     1.018705     1.0283         66.00          7200     0     0      0
## 18     1.009245     1.0248         66.00          7200     0     0      0
## 19     1.016711     1.0261         66.17          8400     0     0      0
## 20     1.026122     1.0290         66.33          8400     0     0      0
## 21     1.032201     1.0346         66.50          8400     0     0      0
## 22     1.016096     1.0309         66.67          8400     0     0      0
## 23     1.033347     1.0402         66.83          9600     0     0      0
## 24     1.028075     1.0472         67.00          9600     0     0      0
## 25     1.023520     1.0384         67.00          9600     0     0      0
## 26     1.027725     1.0408         67.00          9600     0     0      0
## 27     1.031493     1.0383         67.00          9600     0     0      0
## 28     1.035453     1.0417         67.00          9600     0     0      0
## 29     1.039463     1.0419         67.00          9600     0     0      0
## 30     1.048528     1.0461         67.00         13200     0     0      0
## 31     1.042841     1.0458         67.00         13200     0     0      0
## 32     1.053315     1.0553         67.00         15600     0     0      0
## 33     1.066427     1.0604         67.00         15600     0     0      0
## 34     1.063447     1.0779         67.00         15600     0     0      0
## 35     1.042986     1.0624         67.00         15600     0     0      0
## 36     1.040326     1.0595         67.00         18000     0     0      0
## 37     1.069548     1.0646         67.00         21600     0     0      0
## 38     1.078139     1.0699         67.00         26400     0     0      0
## 39     1.057599     1.0750         67.00         28200     0     0      0
## 40     1.049671     1.0774         67.00         30600     0     0      0
## 41     1.052350     1.0721         67.00         33000     0     0      0
## 42     1.071318     1.0796         67.00         35400     0     0      0
## 43     1.100164     1.0910         67.00         45800   180  1085    230
## 44     1.111025     1.1080         67.00         51800   194  1171    248
## 45     1.139227     1.1257         67.00         59400   211  1274    270
## 46     1.103715     1.1459         67.00         64800   230  1388    294
## 47     1.085995     1.1046         67.00         71400   254  1528    324
## 48     1.094962     1.1167         67.00         75600   267  1612    342
## 49     1.074630     1.1138         67.00         79200   280  1691    358
## 50     1.059454     1.0919         67.00         84000   297  1790    379
## 51     1.057692     1.0708         67.00         87600   310  1866    396
## 52     1.066207     1.0867         67.00         90000   319  1922    407
## 53     1.081017     1.0909         67.00         96000   339  2044    433
## 54     1.074857     1.0821         67.00        102600   356  2145    455
## 55     1.053415     1.0809         67.00        106800   370  2230    473
## 56     1.034104     1.0703         67.00        111000   387  2333    495
## 57     1.029968     1.0660         67.00        115200   401  2420    513
## 58     1.041756     1.0575         67.00        121200   422  2545    539
## 59     1.054863     1.0778         67.00        122400   426  2567    544
## 60     1.050051     1.0565         67.00        125400   437  2635    559
## 61     1.050602     1.0658         67.00        130800   455  2741    581
## 62     1.047639     1.0554         67.00        136800   477  2875    609
## 63     1.046306     1.0472         67.00        145200   505  3043    645
## 64     1.058115     1.0666         67.00        152400   531  3202    679
## 65     1.032003     1.0516         67.00        160800   561  3381    717
## 66     1.015905     1.0504         67.00        169800   592  3567    756
## 67     1.010053     1.0405         67.00        174000   606  3653    774
## 68     1.013045     1.0415         67.00        175800   612  3689    782
## 69     1.031061     1.0422         67.00        180000   627  3779    801
## 70     1.047212     1.0442         67.00        188400   656  3955    838
## 71     1.042967     1.0476         67.00        195000   680  4100    869
## 72     1.009203     1.0374         67.00        204000   711  4288    909
## 73     1.001317     1.0252         67.00        213600   744  4483    950
## 74     1.001327     1.0373         67.00        213600   761  4586    972
## 75     1.000346     1.0339         67.00        213600   749  4517    957
## 76     1.000823     1.0197         67.00        220200   767  4624    980
## 77     1.000538     1.0191         67.00        227400   791  4768   1011
## 78     1.000310     1.0286         67.00        234000   816  4917   1042
## 79     1.000350     1.0188         67.00        237000   826  4980   1056
## 80     1.003096     1.0209         67.00        237000   856  5157   1093
## 81     1.008952     1.0243         67.00        254400   885  5336   1131
## 82     1.019171     1.0258         67.00        256800   895  5397   1144
## 83     1.020334     1.0271         67.00        265800   926  5583   1184
## 84     1.001903     1.0176         67.00        275400   960  5785   1226
## 85     1.000411     1.0108         67.00        285600   996  6002   1272
## 86     1.013244     1.0176         67.00        294000  1024  6172   1308
## 87     1.050605     1.0353         67.00        320400  1115  6721   1425
##    BendF2 BendF3 AvgPayout MaxPayout  AvgPayIn MaxPayIn
## 1       0      0      0.00       0.0    23.160   120.00
## 2       0      0      0.00       0.0    21.280   120.00
## 3       0      0      0.00       0.0    22.480   120.00
## 4       0      0      0.00       0.0    24.040   120.00
## 5       0      0      0.00       0.0    29.360   120.00
## 6       0      0      0.00       0.0    37.600   120.00
## 7       0      0      0.00       0.0    45.680   120.00
## 8       0      0      0.00       0.0    49.040   120.00
## 9       0      0      0.00       0.0    50.240   120.00
## 10      0      0      0.00       0.0    51.640   120.00
## 11      0      0      0.00       0.0    53.960   120.00
## 12      0      0      0.00       0.0    58.240   120.00
## 13      0      0      0.00       0.0    56.600   120.00
## 14      0      0      0.00       0.0    92.460   180.00
## 15      0      0      0.00       0.0   102.780   216.00
## 16      0      0      0.00       0.0   108.000   216.00
## 17      0      0      0.00       0.0   112.500   216.00
## 18      0      0      0.00       0.0   148.880   288.00
## 19      0      0      0.00       0.0   156.880   336.00
## 20      0      0      0.00       0.0   165.440   336.00
## 21      0      0      0.00       0.0   193.410   378.00
## 22      0      0      0.00       0.0   195.840   378.00
## 23      0      0      0.00       0.0   227.400   480.00
## 24      0      0      0.00       0.0   280.200   576.00
## 25      0      0      0.00       0.0   287.760   576.00
## 26      0      0      0.00       0.0   314.125   600.00
## 27      0      0      0.00       0.0   377.435   696.00
## 28      0      0      0.00       0.0   399.040   696.00
## 29      0      0      0.00       0.0   425.720   696.00
## 30      0      0      0.00       0.0   485.870  1016.40
## 31      0      0      0.00       0.0   522.600  1029.60
## 32      0      0      0.00       0.0   553.432  1185.60
## 33      0      0      0.00       0.0   663.264  1310.40
## 34      0      0      0.00       0.0   708.624  1310.40
## 35      0      0      0.00       0.0   826.344  1435.20
## 36      0      0   1948.20    4860.0   897.920  1656.00
## 37      0      0   1997.04    6300.0  1044.302  2095.20
## 38      0      0   2258.52    6324.0  1158.696  2613.60
## 39      0      0   2486.16    7044.0  1255.320  2791.80
## 40      0      0   2698.32    7548.0  1364.220  3029.40
## 41      0      0   2916.00    8460.0  1491.336  3267.00
## 42      0      0   3158.40   10212.0  1690.942  3575.40
## 43    332    433   3531.60   10654.8  1880.006  4653.28
## 44    358    467   4096.80   11559.6  2074.062  5262.88
## 45    390    508   4631.64   12142.8  2422.052  6355.80
## 46    425    554   5031.60   12944.4  2594.592  6998.40
## 47    468    610   5289.24   13424.4  2748.384  7711.20
## 48    493    643   5526.84   14391.6  3171.936  8618.40
## 49    517    675   5743.44   14964.0  3367.788  9028.80
## 50    548    714   5861.28   15370.8  3534.684  9576.00
## 51    571    745   6151.80   15454.8  3705.456  9986.40
## 52    588    767   6441.24   15610.8  4233.516 10908.00
## 53    626    816   6802.20   16008.0  4527.790 11635.20
## 54    656    856   7230.72   16668.0  4870.472 12722.40
## 55    682    890   7551.84   16884.0  4978.848 13243.20
## 56    714    931   7831.68   17074.8  5229.328 13764.00
## 57    740    966   8088.72   17772.0  5386.064 14284.80
## 58    779   1016   8368.08   18084.0  5592.400 15028.80
## 59    785   1024   8637.60   18432.0  5845.360 15177.60
## 60    806   1052   8939.52   18672.0  6129.568 15549.60
## 61    839   1094   9298.08   18732.0  6427.168 16219.20
## 62    880   1147   9356.28   18960.0  6814.792 16963.20
## 63    931   1214   9651.60   18420.0  7083.872 18004.80
## 64    980   1278  10133.76   18432.0  7571.192 18897.60
## 65   1034   1349  10493.28   18504.0  7819.440 19939.20
## 66   1092   1424  10740.00   19020.0  7880.448 21055.20
## 67   1118   1458  11064.96   19884.0  8091.000 21576.00
## 68   1129   1472  11458.68   19968.0  8469.944 21799.20
## 69   1156   1508  12024.00   20220.0  8836.240 22320.00
## 70   1210   1578  12532.80   21228.0  9379.856 23361.60
## 71   1255   1636  12943.20   22068.0  9808.400 24180.00
## 72   1312   1711  13834.80   22860.0 10118.648 25296.00
## 73   1372   1789  13971.60   26220.0  9739.208 26486.40
## 74   1403   1830  14106.00   28152.0 10050.448 26486.40
## 75   1382   1803  14742.84   28392.0 10569.512 26486.40
## 76   1415   1845  15139.32   30156.0 10967.056 27304.80
## 77   1459   1903  15525.96   30396.0 11003.016 28197.60
## 78   1505   1962  15942.96   31704.0 11471.984 29016.00
## 79   1524   1987  16101.24   31956.0 11913.424 29388.00
## 80   1578   2058  16321.56   32244.0 12138.112 29388.00
## 81   1633   2130  16849.80   32244.0 12642.544 31545.60
## 82   1651   2154  17535.72   33456.0 13220.880 31843.20
## 83   1708   2228  18034.20   34332.0 13773.672 32959.20
## 84   1770   2309  18529.80   36132.0 14671.432 34149.60
## 85   1837   2395  19896.36   37776.0 15973.680 35414.40
## 86   1889   2463  21901.68   40140.0 16238.048 36456.00
## 87   2056   2682  22884.00   43524.0 16998.416 39729.60

6.2 Social Security Cumulative Pay-In

SSA=read.csv('SSPaidIn.csv')
inf=read.csv('2023dollars.csv')
SSMax=SSA$Max
SSAvg=SSA$Average
SSSamp=rep(0,87)

for (i in 1:87){
  sam=rtri(1,min=0, mode=SSA$Average[i], max=SSA$Max[i])
  SSSamp[i]=sam
}

SSMaxF=rep(0, 52)
SSAvgF=rep(0, 52)
SSSampF=rep(0, 52)
tmp=1

for (i in seq(36,87)){
  tmp2=tmp+34
  SSMaxF[tmp]=sum(SSMax[tmp:tmp2])
  SSAvgF[tmp]=sum(SSAvg[tmp:tmp2])
  SSSampF[tmp]=sum(SSSamp[tmp:tmp2])
  tmp=tmp+1
}
myss = data.frame(
  SSMax = SSMaxF * inf$Dollars2023,
  SSAvg = SSAvgF * inf$Dollars2023,
  SSSample = SSSampF * inf$Dollars2023
)

myss
##       SSMax     SSAvg  SSSample
## 1  106640.6  53425.68  57303.02
## 2  113216.7  57411.04  62701.60
## 3  116083.1  58993.89  57888.36
## 4  116777.8  58642.29  55658.51
## 5  122680.2  61050.87  62544.23
## 6  130901.2  64600.22  67162.91
## 7  136824.9  67077.20  68827.79
## 8  139774.5  68322.36  69542.27
## 9  139864.0  66965.31  63358.88
## 10 140959.7  66071.36  70972.87
## 11 147962.5  67712.71  72645.25
## 12 162229.5  72504.29  86584.96
## 13 177218.8  77266.49  98755.37
## 14 193116.6  82632.54 106749.62
## 15 208666.9  87980.15 122641.19
## 16 230063.1  95700.39 133390.06
## 17 244030.0 100379.77 135842.88
## 18 258549.0 105709.31 138950.81
## 19 272344.8 110772.16 142845.54
## 20 282578.4 114256.43 151201.72
## 21 300250.7 120579.97 149544.57
## 22 318163.5 127104.08 161162.68
## 23 336479.5 133720.05 171848.92
## 24 354811.7 140226.80 173590.33
## 25 372769.5 146949.25 177251.86
## 26 387279.0 152561.53 183937.71
## 27 407901.6 160616.29 196008.18
## 28 429254.0 169078.60 218402.52
## 29 446746.4 175747.68 230238.14
## 30 461323.3 181458.14 236979.52
## 31 484005.7 190206.68 254127.28
## 32 503611.6 197120.36 255817.59
## 33 525147.5 204877.11 260257.82
## 34 538453.8 209794.26 272722.54
## 35 550581.2 214436.74 280650.88
## 36 567527.8 221056.03 283768.70
## 37 575149.8 224207.49 275247.34
## 38 605419.4 236047.32 282775.86
## 39 620405.9 240948.98 283986.41
## 40 641456.5 248605.10 291616.26
## 41 651818.0 252762.29 290309.23
## 42 670188.7 260073.99 303421.95
## 43 689819.3 267400.57 298867.02
## 44 713336.3 276692.82 309118.18
## 45 736887.0 286396.91 317604.93
## 46 748388.7 291751.88 308945.03
## 47 760822.9 297141.65 313808.12
## 48 773483.2 303251.68 310754.53
## 49 782563.0 307962.77 312749.43
## 50 798699.3 315833.46 320213.33
## 51 820665.1 326885.53 337275.43
## 52 797047.2 319467.36 331700.17

6.3 Social Security Annual Payout

SSR=read.csv('SSpayout.csv')
SSMaxR=SSR$Max
SSAvgR=SSR$Average
SSSampR=rep(0,52)


for (i in 1:52){

  sam=rtri(1,min=0, mode=SSR$Average[i], max=SSR$Max[i])
  SSSampR[i]=sam
  tmp=tmp+1
}

SSSAmpR=tmp
myss$SSMaxPayout=SSMaxR*inf$Dollars2023
myss$SSAvgPayout=SSAvgR*inf$Dollars2023
myss$SSSamplePayout=SSSampR*inf$Dollars2023
myss
##       SSMax     SSAvg  SSSample SSMaxPayout SSAvgPayout SSSamplePayout
## 1  106640.6  53425.68  57303.02    32986.68    13223.18      6264.8607
## 2  113216.7  57411.04  62701.60    41354.45    13108.97      6812.5998
## 3  116083.1  58993.89  57888.36    38189.51    13638.80     12608.5582
## 4  116777.8  58642.29  55658.51    37878.41    13369.08     20307.0504
## 5  122680.2  61050.87  62544.23    37968.78    13573.39       350.8830
## 6  130901.2  64600.22  67162.91    40568.56    13983.21     10877.3739
## 7  136824.9  67077.20  68827.79    45895.03    14194.56     36024.4529
## 8  139774.5  68322.36  69542.27    43931.26    14561.29     34136.4838
## 9  139864.0  66965.31  63358.88    42066.97    14908.82     24637.4844
## 10 140959.7  66071.36  70972.87    39279.39    14982.38     14000.4425
## 11 147962.5  67712.71  72645.25    38450.32    14945.97     17515.6258
## 12 162229.5  72504.29  86584.96    38416.30    15136.10     23284.4295
## 13 177218.8  77266.49  98755.37    39676.41    15237.03     20459.5239
## 14 193116.6  82632.54 106749.62    39705.94    15239.82     20651.1742
## 15 208666.9  87980.15 122641.19    39292.25    14983.14     11306.8723
## 16 230063.1  95700.39 133390.06    39077.13    15554.69     11473.3039
## 17 244030.0 100379.77 135842.88    37808.02    15600.13     15146.0778
## 18 258549.0 105709.31 138950.81    37136.02    15780.02     30380.4980
## 19 272344.8 110772.16 142845.54    36966.65    16036.45     31587.9012
## 20 282578.4 114256.43 151201.72    35292.83    15785.70     21910.0191
## 21 300250.7 120579.97 149544.57    34618.49    15878.43     21463.3609
## 22 318163.5 127104.08 161162.68    35016.56    15937.38     17405.4277
## 23 336479.5 133720.05 171848.92    34694.55    16054.34      1125.1835
## 24 354811.7 140226.80 173590.33    34432.51    16135.76     18736.3130
## 25 372769.5 146949.25 177251.86    34030.10    16292.46     24104.9390
## 26 387279.0 152561.53 183937.71    33048.84    16404.59     21357.7844
## 27 407901.6 160616.29 196008.18    32891.94    16231.34     15546.8453
## 28 429254.0 169078.60 218402.52    31451.91    16479.98     16666.9679
## 29 446746.4 175747.68 230238.14    30644.99    16848.36     16657.0433
## 30 461323.3 181458.14 236979.52    29753.09    16872.43       832.5822
## 31 484005.7 190206.68 254127.28    30101.16    16997.18     13489.6680
## 32 503611.6 197120.36 255817.59    30730.99    17101.04     17984.9069
## 33 525147.5 204877.11 260257.82    30285.39    17379.34     22108.5610
## 34 538453.8 209794.26 272722.54    29687.90    17654.17     13673.4549
## 35 550581.2 214436.74 280650.88    30143.02    17796.14     14841.7242
## 36 567527.8 221056.03 283768.70    30571.51    17930.63     17730.2049
## 37 575149.8 224207.49 275247.34    30421.41    18410.94     18173.3609
## 38 605419.4 236047.32 282775.86    34857.94    18574.42     22243.4510
## 39 620405.9 240948.98 283986.41    36442.47    18260.07     16212.0859
## 40 641456.5 248605.10 291616.26    36210.00    18802.42     29073.6107
## 41 651818.0 252762.29 290309.23    37339.55    18745.70     32241.8126
## 42 670188.7 260073.99 303421.95    37007.59    18903.09     12781.3624
## 43 689819.3 267400.57 298867.02    38029.66    19123.94     23955.5604
## 44 713336.3 276692.82 309118.18    38027.71    19160.51     29712.6694
## 45 736887.0 286396.91 317604.93    38103.71    19287.68     21242.7062
## 46 748388.7 291751.88 308945.03    37319.99    19502.37     21666.5394
## 47 760822.9 297141.65 313808.12    37926.33    19878.81     31379.7394
## 48 773483.2 303251.68 310754.53    38193.70    20062.71     28018.2830
## 49 782563.0 307962.77 312749.43    39292.44    20150.59     21515.2279
## 50 798699.3 315833.46 320213.33    40513.06    21337.95     28734.2233
## 51 820665.1 326885.53 337275.43    42749.10    23325.29     10648.6064
## 52 797047.2 319467.36 331700.17    43524.00    22884.00     28979.2069

7 Methods

# Required packages
library(tidyverse)
library(gtools)
## 
## Attaching package: 'gtools'
## The following object is masked from 'package:psych':
## 
##     logit
## The following objects are masked from 'package:MCMCpack':
## 
##     ddirichlet, rdirichlet
library(gridExtra)
## 
## Attaching package: 'gridExtra'
## The following object is masked from 'package:dplyr':
## 
##     combine
library(grid)
## 
## Attaching package: 'grid'
## The following object is masked from 'package:metR':
## 
##     as.path
# Matrix of ratings
ratings <- tribble(
  ~Construct, ~ChatGPT, ~Claude, ~Gemini, ~Copilot,
  "ICB", 4, -5, 2, -2,
  "E", 4, -2, -1, -4,
  "T", -1, -2, -1, -3,
  "S", -3, 1, -2, -4,
  "AF", -1, -5, 2, 0,
  "PV", -1, 1, -4, 4
)

# Sample Dirichlet weights
set.seed(42)
construct_weights <- rdirichlet(1, rep(1, 6)) %>% as.numeric() %>% round(3)
llm_weights <- rdirichlet(1, rep(1, 4)) %>% as.numeric() %>% round(3)
ratings$Weight <- construct_weights

# Melt for plotting
ratings_long <- ratings %>%
  pivot_longer(cols = ChatGPT:Copilot, names_to = "LLM", values_to = "Rating")

# Ensure ordering matches the layout
ratings_long$Construct <- factor(ratings_long$Construct, levels = rev(ratings$Construct))

# Plain matrix (text only)
matrix_plot <- ggplot(ratings_long, aes(x = LLM, y = Construct)) +
  geom_tile(color = "black", fill = "white") +
  geom_text(aes(label = Rating), size = 5) +
  theme_minimal() +
  labs(title = "LLM Ratings by Construct (Text Only)", x = "LLM", y = "Construct") +
  theme(panel.grid = element_blank())

# Construct weight bars
construct_bar <- tibble(
  Construct = rev(ratings$Construct),
  Weight = rev(ratings$Weight)
)

bar_right <- ggplot(construct_bar, aes(x = Weight, y = Construct)) +
  geom_bar(stat = "identity", fill = "grey20") +
  theme_minimal() +
  labs(x = "Construct Weight", y = NULL) +
  theme(axis.text.y = element_blank(), axis.ticks.y = element_blank())

# LLM weight bars
llm_bar <- tibble(
  LLM = names(ratings)[2:5],
  Weight = llm_weights
)

bar_top <- ggplot(llm_bar, aes(x = LLM, y = Weight)) +
  geom_bar(stat = "identity", fill = "grey20") +
  theme_minimal() +
  labs(y = "LLM Weights") +
  scale_y_continuous(breaks = c(0, 0.5, 1)) +
  theme(
    axis.title.x = element_blank(),
    axis.text.y = element_text(size = 8)
  )


# Combine the matrix + bar plots
grid.arrange(
  bar_top,
  arrangeGrob(matrix_plot, bar_right, ncol = 2, widths = c(4, 1)),
  heights = c(1, 5)
)

8 Descriptives

library(psych)
library(ggplot2)
library(tidyr)
library(knitr)
library(kableExtra)



# Read your data
df <- read.csv("finalscores1029.csv")

# Get descriptive stats
desc <- describe(df)

# Get descriptive statistics
desc <- describe(df[, 1:25])

# Calculate IQR manually
iqr_vals <- apply(df[,1:25], 2, IQR, na.rm = TRUE)

# Build formatted table with selected stats
summary_table <- data.frame(
  Variable = rownames(desc),
  Min = round(desc$min, 2),
  Median = round(desc$median, 2),
  `Mean (SD)` = sprintf("%.2f (%.2f)", desc$mean, desc$sd),
  Max = round(desc$max, 2),
  IQR = round(iqr_vals, 2)
)

# Render with kableExtra
summary_table %>%
  kbl(
    caption = "Summary Statistics for Evaluation Scores (Including IQR)",
    col.names = c("Variable", "Min", "Median", "Mean (SD)", "Max", "IQR"),
    format = "html",  # Change to "latex" for PDF output
    booktabs = TRUE,
    align = "lccccr"
  ) %>%
  kable_styling(bootstrap_options = c("striped", "condensed", "hover", "responsive"),
                full_width = FALSE, position = "center")
Summary Statistics for Evaluation Scores (Including IQR)
Variable Min Median Mean (SD) Max IQR
ICB1 ICB1 -5.00 -2.00 -0.90 (1.98) 4.00 2.75
ICB2 ICB2 -5.00 -1.00 -0.82 (2.29) 3.00 4.75
ICB3 ICB3 -5.00 -1.00 -0.75 (1.37) 2.00 2.00
ICB4 ICB4 -5.00 0.00 -0.40 (2.08) 3.00 4.00
T1 T1 -4.00 -1.00 -0.94 (1.84) 5.00 2.00
T2 T2 -5.00 -1.00 -0.54 (2.02) 3.00 3.00
T3 T3 -5.00 0.00 -0.81 (1.39) 2.00 2.00
T4 T4 -5.00 -2.00 -0.77 (2.45) 4.00 4.75
E1 E1 -4.00 0.00 -0.02 (2.18) 5.00 4.00
E2 E2 -4.00 2.00 0.82 (2.24) 4.00 4.00
E3 E3 -4.00 0.00 0.46 (1.28) 3.00 1.00
E4 E4 -4.00 -2.00 -0.58 (1.97) 3.00 3.00
S1 S1 -3.00 2.00 1.22 (2.12) 4.00 3.00
S2 S2 -5.00 2.00 1.58 (2.33) 5.00 5.00
S3 S3 -5.00 2.00 1.23 (1.52) 4.00 2.00
S4 S4 -2.00 3.00 2.42 (1.81) 5.00 2.00
AF1 AF1 -3.00 2.00 1.87 (1.57) 5.00 2.00
AF2 AF2 -3.00 3.00 2.63 (1.01) 5.00 1.00
AF3 AF3 -4.00 0.00 0.49 (1.10) 2.00 1.00
AF4 AF4 -4.00 2.00 1.59 (2.29) 5.00 3.00
PV1 PV1 -5.00 -1.00 -0.82 (2.26) 5.00 4.00
PV2 PV2 -5.00 -2.00 -1.01 (2.42) 3.00 5.00
PV3 PV3 -5.00 -1.00 -0.89 (1.26) 2.00 2.00
PV4 PV4 -5.00 -1.00 -0.34 (2.59) 4.00 6.00
SS_Effect SS_Effect -1.48 0.37 0.64 (0.96) 4.13 1.07

8.1 Boxplots

# Define constructs and LLMs
constructs <- c("ICB", "T", "E", "S", "AF", "PV")
llm_ids <- 1:4
llm_labels <- c("ChatGPT", "Claude", "Gemini", "Copilot")

# Build column names correctly
target_cols <- c()
for (construct in constructs) {
  for (id in llm_ids) {
    col_name <- paste0(construct, id)
    if (col_name %in% colnames(df)) {
      target_cols <- c(target_cols, col_name)
    }
  }
}

# Add COA column for reference
target_cols <- c("COA", target_cols)

# Subset the data
df_subset <- df[, target_cols]

# Reshape to long format
df_long <- pivot_longer(df_subset, 
                        cols = setdiff(names(df_subset), "COA"), 
                        names_to = "Metric", 
                        values_to = "Score")

# Extract Construct and LLM
df_long$Construct <- sub("([A-Z]+)\\d+", "\\1", df_long$Metric)
df_long$LLM_ID <- as.integer(sub("[A-Z]+(\\d+)", "\\1", df_long$Metric))
df_long$LLM <- factor(df_long$LLM_ID, levels = 1:4, labels = llm_labels)

# Filter out non-finite values
df_long_filtered <- df_long[is.finite(df_long$Score), ]

# Create the main plot with proper legend
p <- ggplot(df_long_filtered, aes(x = Score, y = Construct, fill = LLM, pattern = LLM)) +
  geom_boxplot_pattern(
    position = position_dodge(width = 0.75),
    outlier.shape = 21,
    outlier.fill = "black",
    pattern_fill = "white",
    pattern_colour = "black",
    pattern_density = 0.5,
    pattern_spacing = 0.04,
    pattern_size = 0.12
  ) +
  scale_fill_brewer(palette = "Pastel1") +
  scale_pattern_manual(values = c(
    "ChatGPT" = "none",
    "Claude"  = "stripe",
    "Gemini"  = "crosshatch",
    "Copilot" = "weave"
  )) +
  scale_x_continuous(limits = c(-5, 5)) +
  labs(
    title = "Distributions of LLM Evaluations by Construct",
    x = "Score", y = "Construct", fill = "LLM", pattern = "LLM"
  ) +
  theme_minimal(base_size = 16) +
  theme(
    plot.title = element_text(hjust = 0.5, face = "bold"),
    legend.position = "bottom",
    aspect.ratio = 1.0,
    strip.text = element_text(size = 14),
    axis.text.y = element_text(size = 14),
    axis.title.y = element_text(size = 16),
    legend.key.size = unit(1.5, "cm"),  # Make legend keys bigger to show patterns
    legend.text = element_text(size = 12)
  ) +
  guides(
    fill = guide_legend(override.aes = list(pattern = c("none", "stripe", "crosshatch", "weave"))),
    pattern = guide_legend(override.aes = list(fill = scales::brewer_pal(palette = "Pastel1")(4)))
  )

# Save the plot with increased height (tripled from 5 to 15)

ggsave("llm_construct_distributions_taller.png", p, width = 20, height = 25, dpi = 300)

# Show the plot
print(p)

9 Correlation Matrix

# Load required packages
if (!require("corrplot")) install.packages("corrplot", dependencies = TRUE)
## Loading required package: corrplot
## corrplot 0.95 loaded
if (!require("viridis")) install.packages("viridis", dependencies = TRUE)

library(corrplot)
library(viridis)

ibm_palette <- c("#648FFF",  # blue
                 "#785EF0",  # purple
                 "#DC267F",  # magenta
                 "#FE6100",  # orange
                 "#FFB000",  # yellow
                 "#00BFC4",  # teal
                 "#009E73")  # green
# Create interpolated IBM gradient
ibm_palette <- colorRampPalette(c("#648FFF", "#785EF0", "#DC267F", "#FE6100", "#FFB000", "#00BFC4", "#009E73"))(100)


# Read the data
data <- read.csv("finalscores1029.csv")

# Select only the rating variables (ICB1 through PV4)
rating_cols <- c("ICB1", "ICB2", "ICB3", "ICB4", 
                 "T1", "T2", "T3", "T4", 
                 "E1", "E2", "E3", "E4", 
                 "S1", "S2", "S3", "S4", 
                 "AF1", "AF2", "AF3", "AF4", 
                 "PV1", "PV2", "PV3", "PV4")

rating_vars <- data[, rating_cols]

# Compute and round the correlation matrix
corr_matrix <- cor(rating_vars, , method="spearman",use = "pairwise.complete.obs")
corr_matrix_rounded <- round(corr_matrix, 2)

# Order variables logically by construct
ordered_vars <- rating_cols  # Already ordered by construct
corr_matrix_ordered <- corr_matrix[ordered_vars, ordered_vars]

# Create color-blind friendly palette
viridis_colors <- viridis(100)

# Function to extract correlation matrix for a single construct
get_construct_correlations <- function(data, construct) {
  cols <- grep(paste0("^", construct), names(data), value = TRUE)
  cor(data[cols], use = "pairwise.complete.obs")
}

constructs <- c("ICB", "T", "E", "S", "AF", "PV")

# Main correlation matrix plot
corrplot(corr_matrix_ordered,
         method = "circle",
         type = "upper",
         tl.col = "black",
         tl.cex = 0.6,            # smaller font for labels
         tl.srt = 45,
         cl.ratio = 0.2,
         cl.align = "r",
         addCoef.col=NULL,     # remove correlation values in cells
         col = ibm_palette,
         diag = FALSE,
         mar = c(1, 1, 3, 3),
         title = "Correlation Matrix of Social Security Reform Ratings")

# 3x2 Construct panel plot
pdf("construct_correlation_plots.pdf", width = 10, height = 15)
par(mfrow = c(3, 2), mar = c(3, 3, 4, 2))  # Smaller margins
for (construct in constructs) {
  corrplot(get_construct_correlations(rating_vars, construct),
           method = "color",
           type = "full",
           tl.col = "black",
           addCoef.col = "black",
           number.cex = 1.2,
           col = viridis_colors,
           title = paste("Correlations for", construct))
}
dev.off()
## png 
##   2
# Individual plots for each construct
for (construct in constructs) {
  pdf(paste0(construct, "_correlation_plot.pdf"), width = 8, height = 7)
  corrplot(get_construct_correlations(rating_vars, construct),
           method = "color",
           type = "full",
           tl.col = "black",
           addCoef.col = "black",
           number.cex = .5,
           col = viridis_colors,
           title = paste("Correlations Among", construct, "Ratings"))
  dev.off()
}

# Summary of construct-wise correlations
construct_consistency <- data.frame(
  Construct = character(),
  AvgCorrelation = numeric(),
  MinCorrelation = numeric(),
  MaxCorrelation = numeric(),
  stringsAsFactors = FALSE
)

for (construct in constructs) {
  corr_vals <- get_construct_correlations(rating_vars, construct)
  vals <- corr_vals[lower.tri(corr_vals)]
  construct_consistency <- rbind(construct_consistency, data.frame(
    Construct = construct,
    AvgCorrelation = mean(vals),
    MinCorrelation = min(vals),
    MaxCorrelation = max(vals)
  ))
}

print(construct_consistency)
##   Construct AvgCorrelation MinCorrelation MaxCorrelation
## 1       ICB      0.7083020      0.5622852      0.8381137
## 2         T      0.7563061      0.6592031      0.8924957
## 3         E      0.5372418      0.3862525      0.7181748
## 4         S      0.7488655      0.6036185      0.9145214
## 5        AF      0.4030040      0.1950817      0.5452120
## 6        PV      0.7851552      0.7202278      0.8520813
write.csv(construct_consistency, "construct_consistency_summary.csv", row.names = FALSE)

10 Cohen’s Kappa

# Load necessary package
library(psych)

# Define a function to compute kappa for all pairs in a group
compute_kappas <- function(df, var_prefix) {
  cols <- grep(paste0("^", var_prefix), names(df), value = TRUE)
  combinations <- combn(cols, 2, simplify = FALSE)
  
  kappas <- lapply(combinations, function(pair) {
    r1 <- df[[pair[1]]]
    r2 <- df[[pair[2]]]
    # Only include complete cases for fair comparison
    complete_cases <- complete.cases(r1, r2)
    kappa <- cohen.kappa(cbind(r1[complete_cases], r2[complete_cases]))
    data.frame(
      Rater1 = pair[1],
      Rater2 = pair[2],
      Kappa = kappa$kappa,
      WeightedKappa = kappa$weighted.kappa
    )
  })
  
  do.call(rbind, kappas)
}

# Run for ICB as an example
kappa_icb <- compute_kappas(rating_vars, "ICB")

kappa_trust <- compute_kappas(rating_vars, "T")

kappa_equity <- compute_kappas(rating_vars, "E")

kappa_s <- compute_kappas(rating_vars, "S")

kappa_af <- compute_kappas(rating_vars, "AF")

kappa_pv<- compute_kappas(rating_vars, "PV")

total=as.data.frame(rbind(kappa_icb, kappa_trust, kappa_equity, kappa_s, kappa_af, kappa_pv))

print(total)
##    Rater1 Rater2       Kappa WeightedKappa
## 1    ICB1   ICB2  0.21991557    0.82828943
## 2    ICB1   ICB3  0.21501309    0.60126745
## 3    ICB1   ICB4  0.38882103    0.76215104
## 4    ICB2   ICB3  0.06396291    0.63399505
## 5    ICB2   ICB4  0.10992079    0.68429607
## 6    ICB3   ICB4  0.17222671    0.50675070
## 7      T1     T2  0.19797368    0.77159027
## 8      T1     T3  0.19484968    0.64027697
## 9      T1     T4  0.20431757    0.67017466
## 10     T2     T3  0.18727106    0.76282315
## 11     T2     T4  0.29496728    0.87099068
## 12     T3     T4  0.13366170    0.56573554
## 13     E1     E2  0.08953881    0.66957258
## 14     E1     E3  0.01234568    0.44915726
## 15     E1     E4  0.17786012    0.37081294
## 16     E2     E3  0.10055424    0.53699969
## 17     E2     E4  0.12927951    0.41698273
## 18     E3     E4  0.04608777    0.33445900
## 19     S1     S2  0.15928034    0.86134062
## 20     S1     S3  0.21932390    0.78161562
## 21     S1     S4  0.10944944    0.50184894
## 22     S2     S3  0.13257919    0.82245719
## 23     S2     S4  0.29191950    0.61005750
## 24     S3     S4  0.02684180    0.49339104
## 25    AF1    AF2  0.09800363    0.36105237
## 26    AF1    AF3  0.12501481    0.33585746
## 27    AF1    AF4  0.24964522    0.36253283
## 28    AF2    AF3  0.02813688    0.08732773
## 29    AF2    AF4 -0.05891043    0.12324880
## 30    AF3    AF4  0.02210319    0.27772394
## 31    PV1    PV2  0.19400937    0.78949679
## 32    PV1    PV3  0.11131028    0.64216461
## 33    PV1    PV4  0.19923130    0.71677049
## 34    PV2    PV3  0.03455639    0.69529940
## 35    PV2    PV4  0.15577660    0.82064237
## 36    PV3    PV4  0.05151930    0.54580707

11 Integer Goal Programming Approach to Policy Selection

11.1 Formulation

Formulation
Formulation

11.2 Program

library(lpSolveAPI)
library(gtools)
library(dplyr)

set.seed(1234)
num_reps <- 100

df <- read.csv("finalscores1029.csv", strip.white = TRUE)
all_runs <- data.frame()
best_by_nmax <- tibble(
  MaxCOAs = numeric(),
  ObjVal = numeric()
)


num_coas <- 142
num_goals <- 24  # Only the first 24 goals are used for targets/deviations
ss_effect_col <- 25
total_vars <- num_coas + (2 * num_goals)

construct_names <- c("ICB", "T", "E", "S", "AF", "PV", "SS_Effect")
llm_names <- c("Inara", "Claude", "Gemini", "Copilot")

for (i in 1:num_reps) {
  
  # Draw weights
  construct_weights <- as.vector(rdirichlet(1, rep(1, 7)))
  names(construct_weights) <- construct_names

  llm_weights_list <- lapply(1:6, function(x) as.vector(rdirichlet(1, runif(4, 1, 5))))
  flattened_llm_weights <- unlist(llm_weights_list)

  expanded_construct_weights <- rep(construct_weights[1:6], each = 4)
  final_weights <- expanded_construct_weights * flattened_llm_weights

  weights <- c(final_weights, construct_weights["SS_Effect"])
  names(weights) <- c(colnames(df[, 1:num_goals]), "SS_Effect")

  max_num_coas <- sample(1:6, 1)
  lambda <- runif(1, 0.2, 0.7)

  # Setup LP
  lprec <- make.lp(0, total_vars)
  set.type(lprec, columns = 1:num_coas, type = "binary")
  set.type(lprec, columns = (num_coas + 1):total_vars, type = "real")

  targets <- rep(5, num_goals)
  for (g in 1:num_goals) {
    row <- numeric(total_vars)
    row[1:num_coas] <- df[, g]
    row[num_coas + g] <- 1
    row[num_coas + num_goals + g] <- -1
    add.constraint(lprec, row, "=", targets[g])
  }

  # Max COAs constraint
  limit_row <- numeric(total_vars)
  limit_row[1:140] <- 1
  limit_row[141:142] <- 5
  add.constraint(lprec, limit_row, "<=", max_num_coas)

  # Privatization exclusivity
  priv_row <- numeric(total_vars)
  priv_row[141:142] <- 1
  add.constraint(lprec, priv_row, "<=", 1)

  # SS_Effect constraint
  ss_effect_row <- numeric(total_vars)
  ss_effect_row[1:num_coas] <- df[, ss_effect_col]
  add.constraint(lprec, ss_effect_row, ">=", 3.5)

  # Objective function
  goal_matrix <- as.matrix(df[, 1:num_goals]) %*% diag(weights[1:num_goals])
  obj <- rowSums(goal_matrix)
  full_obj <- numeric(total_vars)
  full_obj[1:num_coas] <- obj
  full_obj[(num_coas + 1):(num_coas + num_goals)] <- -lambda

  set.objfn(lprec, full_obj)
  lp.control(lprec, sense = "max")

  # Solve
  status <- solve(lprec)
  sol <- get.variables(lprec)
  selected_indices <- which(sol[1:num_coas] == 1)

  if (status == 0 && length(selected_indices) > 0) {
    selected_COAs <- df[selected_indices, ]
    selected_COAs$COA_ID <- as.integer(rownames(df)[selected_indices])
    selected_COAs$WeightedScore <- obj[selected_indices]
    selected_COAs$ObjVal <- get.objective(lprec)
    selected_COAs$Run <- i
    selected_COAs$Lambda <- lambda
    selected_COAs$MaxCOAs <- max_num_coas

    # Add construct weights and LLM contributions
    for (j in seq_along(weights)) {
      selected_COAs[[paste0("W_", names(weights)[j])]] <- weights[j]
    }

    llm_labels <- rep(llm_names, times = 6)
    llm_contributions <- tapply(final_weights, llm_labels, sum)
    llm_contributions <- llm_contributions / sum(final_weights)

    for (llm in names(llm_contributions)) {
      selected_COAs[[paste0("LLMWeight_", llm)]] <- llm_contributions[llm]
    }

    # Save all results
    all_runs <- bind_rows(all_runs, selected_COAs)

    # Save best result per Nmax
    current_best <- best_by_nmax %>% filter(MaxCOAs == max_num_coas)
    if (nrow(current_best) == 0 || selected_COAs$ObjVal[1] > max(current_best$ObjVal, na.rm = TRUE)) {
      best_by_nmax <- best_by_nmax %>% filter(MaxCOAs != max_num_coas)
      best_by_nmax <- bind_rows(best_by_nmax, selected_COAs)
    }
  } else {
    cat(sprintf("Run %d infeasible or error\n", i))
  }
}

# Output summaries
if (nrow(all_runs) > 0) {
  summary_output <- all_runs %>%
    group_by(Run) %>%
    summarise(
      `Objective Value` = first(ObjVal),
      `Max COAs` = first(MaxCOAs),
      Lambda = first(Lambda),
      `COAs Selected` = paste(COA_ID, collapse = ", "),
      `Types Selected` = paste(unique(Type), collapse = ", "),
      `Weighted Scores` = paste(round(WeightedScore, 2), collapse = ", ")
    ) %>%
    arrange(desc(`Objective Value`))

  print(summary_output)

  llm_summary <- all_runs %>%
    dplyr::select(starts_with("LLMWeight_")) %>%
    summarise(across(everything(), mean, na.rm = TRUE))

  cat("\nAverage LLM Contributions Across Runs:\n")
  print(round(llm_summary, 4))
}
## # A tibble: 100 × 7
##      Run `Objective Value` `Max COAs` Lambda `COAs Selected`    `Types Selected`
##    <int>             <dbl>      <int>  <dbl> <chr>              <chr>           
##  1    14              7.37          6  0.460 29, 31, 32, 36, 9… BENEFITS, TAX   
##  2    91              6.62          6  0.510 31, 32, 44, 78, 9… BENEFITS, FAMIL…
##  3    50              5.89          6  0.266 31, 32, 78, 83, 9… BENEFITS, FAMIL…
##  4   100              5.63          5  0.276 31, 32, 78, 91, 92 BENEFITS, FAMIL…
##  5    61              5.50          5  0.226 31, 32, 78, 91, 92 BENEFITS, FAMIL…
##  6     5              5.07          6  0.540 31, 32, 78, 83, 9… BENEFITS, FAMIL…
##  7    11              5.06          6  0.617 31, 32, 78, 83, 9… BENEFITS, FAMIL…
##  8    16              4.38          6  0.470 31, 32, 78, 83, 9… BENEFITS, FAMIL…
##  9    34              3.78          5  0.350 31, 32, 78, 91, 92 BENEFITS, FAMIL…
## 10    88              3.75          5  0.385 31, 32, 78, 90, 91 BENEFITS, FAMIL…
## # ℹ 90 more rows
## # ℹ 1 more variable: `Weighted Scores` <chr>
## Warning: There was 1 warning in `summarise()`.
## ℹ In argument: `across(everything(), mean, na.rm = TRUE)`.
## Caused by warning:
## ! The `...` argument of `across()` is deprecated as of dplyr 1.1.0.
## Supply arguments directly to `.fns` through an anonymous function instead.
## 
##   # Previously
##   across(a:b, mean, na.rm = TRUE)
## 
##   # Now
##   across(a:b, \(x) mean(x, na.rm = TRUE))
## 
## Average LLM Contributions Across Runs:
##   LLMWeight_Claude LLMWeight_Copilot LLMWeight_Gemini LLMWeight_Inara
## 1           0.2407            0.2547           0.2597           0.245
# Save to files
write.csv(all_runs, "all_runs.csv", row.names = FALSE)
write.csv(best_by_nmax, "best_by_nmax.csv", row.names = FALSE)
write.csv(summary_output, "summary.csv", row.names = FALSE)

print(all_runs)
##     ICB1 ICB2 ICB3 ICB4 T1 T2 T3 T4 E1 E2 E3 E4 S1 S2 S3 S4 AF1 AF2 AF3 AF4 PV1
## 1      0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 2      3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 3      3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 4      0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 5      0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 6      0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 7      3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 8      0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 9      3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 10     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 11     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 12     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 13     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 14     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 15     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 16     2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 17     0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 18     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 19     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 20     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 21     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 22     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 23    -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 24     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 25     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 26     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 27     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 28     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 29     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 30     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 31     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 32     0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 33     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 34     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 35     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 36     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 37     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 38     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 39     2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 40     0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 41     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 42     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 43     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 44     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 45     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 46    -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 47     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 48     2    2    1    2  2  2  1  3  3  4  2  3 -1 -1 -1 -1   2   2   2   3   2
## 49     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 50     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 51     2    2    1    2  2  2  1  3  3  4  2  3 -1 -1 -1 -1   2   3   2   3   2
## 52     0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 53     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 54     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 55     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 56     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 57     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 58     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 59     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 60     2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 61     0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 62     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 63     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 64     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 65     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 66     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 67     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 68     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 69     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 70     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 71     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 72     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 73     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 74     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 75     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 76     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 77     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 78     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 79     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 80     0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 81    -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 82     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 83     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 84     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 85     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 86     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 87     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 88     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 89     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 90     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 91     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 92     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 93     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 94     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 95     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 96     0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 97     0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 98     3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 99     3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 100    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 101    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 102    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 103    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 104    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 105    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
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## 134   -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 135    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
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## 143    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 144    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
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## 147    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 148    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
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## 150    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 151    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 152    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 153    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 154    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 155    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 156    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 157    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 158    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 159    2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 160    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 161    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 162    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 163    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 164    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 165    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 166    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 167    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 168    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 169    2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 170    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
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## 172    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 173    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 174    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 175    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 176    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 177    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 178    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 179    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 180    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 181    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 182    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 183    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 184    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 185    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 186    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 187    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 188    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 189    2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 190    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
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## 192    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 193    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 194    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 195    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 196   -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 197    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
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## 199    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 200    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 201    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 202    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 203    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 204    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 205    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 206    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 207    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 208    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 209    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 210    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 211    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 212    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 213    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 214    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 215    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 216    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 217    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 218    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 219    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 220    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 221    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 222    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 223    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 224    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 225    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 226    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 227    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 228    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 229    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 230    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 231    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 232    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 233    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 234    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 235    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 236    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 237    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 238    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 239    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 240    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 241    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 242    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 243    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 244    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 245    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 246   -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 247    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 248    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 249    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 250    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 251    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 252    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 253    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 254    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 255    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 256    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 257    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 258    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 259    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 260    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 261    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 262    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 263    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 264    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 265    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 266    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 267    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 268    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 269    2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 270    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 271    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 272    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 273    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 274    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 275    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 276    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 277    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 278    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 279    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 280    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 281    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 282    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 283    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 284    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 285    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 286   -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 287    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 288    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 289    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 290    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 291   -1    1    0    3  0  2  0  2  1  2  0  2  1 -1  0 -1   4   4   2   3   1
## 292    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 293    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 294    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 295    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 296    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 297    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 298    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 299    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 300    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 301    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 302    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 303    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 304    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 305    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 306    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 307   -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
## 308    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 309    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 310    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 311    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 312    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 313    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 314    2    2    1    3  2  2  1  2  3  2  1  1 -1 -1  0  2   1   3   0   1   2
## 315    0   -2    1    0 -3 -2  1 -3 -2  3  3  1  4  4  3  4   2   3   0   2  -3
## 316    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 317    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 318    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 319    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 320    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 321    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 322    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 323    0   -4    0    0  1 -2  0 -5  1 -1  2  1  2  4  3  4   1   4   0   1   0
## 324    3    3    1    3  3  3  1  3  3  4  2  3  0 -1 -1 -1   2   2   2   3   2
## 325    3    3    1    3  2  3  1  3  3  4  2  3 -1 -1 -1 -1   3   3   2   3   4
## 326    0    2    1    0  5  3  1  3  4  3  0 -2  0 -1  0  3   2   3   1   5   3
## 327    0   -2    1    0 -2  0  0 -2  2  2  3  1  2  4  3  4   3   3   0   4   1
## 328   -1   -1    1    2  0  0  0 -1  0  3  3  1  3  3  3  3   2   2   0  -1  -4
##     PV2 PV3 PV4 SS_Effect     Type COA COA_ID WeightedScore       ObjVal Run
## 1    -4  -1  -3      4.13      TAX  85     85    0.55012194 -38.90482907   1
## 2     2   1   4      0.00 BENEFITS  31     31    1.42449999   1.77736164   2
## 3     3   1   4     -0.13 BENEFITS  32     32    1.51947754   1.77736164   2
## 4     3   1   3     -0.10   FAMILY  78     78    0.67063624   1.77736164   2
## 5    -3  -1  -3      2.55      TAX  90     90    1.21481405   1.77736164   2
## 6    -2  -1  -3      1.86      TAX  91     91    1.34404616   1.77736164   2
## 7     3   1   4     -0.13 BENEFITS  32     32    2.12246451 -42.75263803   3
## 8    -4  -1  -3      4.13      TAX  85     85    0.32297467 -42.75263803   3
## 9     2   1   4      0.00 BENEFITS  31     31    1.55607982  -5.88017106   4
## 10    3   1   4     -0.13 BENEFITS  32     32    1.79725769  -5.88017106   4
## 11    3   1   3     -0.10   FAMILY  78     78    1.66210562  -5.88017106   4
## 12   -4  -1  -3      4.13      TAX  85     85    0.17657855  -5.88017106   4
## 13    2   1   4      0.00 BENEFITS  31     31    2.17483823   5.07014224   5
## 14    3   1   4     -0.13 BENEFITS  32     32    2.73698559   5.07014224   5
## 15    3   1   3     -0.10   FAMILY  78     78    2.25459062   5.07014224   5
## 16    3   1   3     -0.03   FAMILY  83     83    1.90637202   5.07014224   5
## 17   -3  -1  -3      2.55      TAX  90     90   -0.91650141   5.07014224   5
## 18   -2  -1  -3      1.86      TAX  91     91    0.15650421   5.07014224   5
## 19    2   1   4      0.00 BENEFITS  31     31    2.18238215  -0.70253101   6
## 20    3   1   4     -0.13 BENEFITS  32     32    2.65255181  -0.70253101   6
## 21    3   1   3     -0.10   FAMILY  78     78    1.91977376  -0.70253101   6
## 22   -2  -1  -3      1.86      TAX  91     91   -0.07403096  -0.70253101   6
## 23   -2  -1  -2      2.37      TAX  92     92   -0.92472779  -0.70253101   6
## 24    3   1   4     -0.13 BENEFITS  32     32    2.18488734 -15.06662316   7
## 25   -4  -1  -3      4.13      TAX  85     85    0.08665500 -15.06662316   7
## 26    2   1   4      0.00 BENEFITS  31     31    1.90928545 -18.83196612   8
## 27    3   1   4     -0.13 BENEFITS  32     32    2.23561898 -18.83196612   8
## 28   -4  -1  -3      4.13      TAX  85     85    0.40303014 -18.83196612   8
## 29    2   1   4      0.00 BENEFITS  31     31    1.96146097   3.74115544   9
## 30    3   1   4     -0.13 BENEFITS  32     32    2.22467600   3.74115544   9
## 31    3   1   3     -0.10   FAMILY  78     78    1.78860413   3.74115544   9
## 32   -3  -1  -3      2.55      TAX  90     90    0.49877905   3.74115544   9
## 33   -2  -1  -3      1.86      TAX  91     91    0.93326015   3.74115544   9
## 34    3   1   4     -0.13 BENEFITS  32     32    2.29334393 -28.62214692  10
## 35   -4  -1  -3      4.13      TAX  85     85   -0.15374172 -28.62214692  10
## 36    2   1   4      0.00 BENEFITS  31     31    2.29955596   5.06359268  11
## 37    3   1   4     -0.13 BENEFITS  32     32    2.34989958   5.06359268  11
## 38    3   1   3     -0.10   FAMILY  78     78    1.53672059   5.06359268  11
## 39    3   1   3     -0.03   FAMILY  83     83    1.69133514   5.06359268  11
## 40   -3  -1  -3      2.55      TAX  90     90    0.18810711   5.06359268  11
## 41   -2  -1  -3      1.86      TAX  91     91    0.69992264   5.06359268  11
## 42    2   1   4      0.00 BENEFITS  31     31    1.09138863   2.13220189  12
## 43    3   1   4     -0.13 BENEFITS  32     32    0.96483666   2.13220189  12
## 44    3   1   3     -0.10   FAMILY  78     78    1.22492688   2.13220189  12
## 45   -2  -1  -3      1.86      TAX  91     91    1.31016889   2.13220189  12
## 46   -2  -1  -2      2.37      TAX  92     92    1.31254202   2.13220189  12
## 47   -4  -1  -3      4.13      TAX  85     85   -0.04012003 -61.42462383  13
## 48    3   1   3     -0.06 BENEFITS  29     29    2.50846622   7.37186679  14
## 49    2   1   4      0.00 BENEFITS  31     31    2.49999764   7.37186679  14
## 50    3   1   4     -0.13 BENEFITS  32     32    2.60240729   7.37186679  14
## 51    2   1   3     -0.07 BENEFITS  36     36    2.45406444   7.37186679  14
## 52   -3  -1  -3      2.55      TAX  90     90    1.09163425   7.37186679  14
## 53   -2  -1  -3      1.86      TAX  91     91    1.27738835   7.37186679  14
## 54    2   1   4      0.00 BENEFITS  31     31    1.12490599 -18.98464610  15
## 55    3   1   4     -0.13 BENEFITS  32     32    1.03469461 -18.98464610  15
## 56   -4  -1  -3      4.13      TAX  85     85    1.48869730 -18.98464610  15
## 57    2   1   4      0.00 BENEFITS  31     31    1.52214555   4.37694220  16
## 58    3   1   4     -0.13 BENEFITS  32     32    1.54756167   4.37694220  16
## 59    3   1   3     -0.10   FAMILY  78     78    1.57493295   4.37694220  16
## 60    3   1   3     -0.03   FAMILY  83     83    1.26677267   4.37694220  16
## 61   -3  -1  -3      2.55      TAX  90     90    0.30809449   4.37694220  16
## 62   -2  -1  -3      1.86      TAX  91     91    0.97935044   4.37694220  16
## 63    2   1   4      0.00 BENEFITS  31     31    0.98920975 -15.62891949  17
## 64    3   1   4     -0.13 BENEFITS  32     32    1.10539410 -15.62891949  17
## 65   -4  -1  -3      4.13      TAX  85     85    1.08791977 -15.62891949  17
## 66    3   1   4     -0.13 BENEFITS  32     32    1.20896080 -45.32028888  18
## 67   -4  -1  -3      4.13      TAX  85     85   -0.05140139 -45.32028888  18
## 68    3   1   4     -0.13 BENEFITS  32     32    2.46332172 -27.88737521  19
## 69   -4  -1  -3      4.13      TAX  85     85   -0.08095728 -27.88737521  19
## 70    2   1   4      0.00 BENEFITS  31     31    1.40558964  -0.54100124  20
## 71    3   1   4     -0.13 BENEFITS  32     32    1.49505093  -0.54100124  20
## 72    3   1   3     -0.10   FAMILY  78     78    1.39099543  -0.54100124  20
## 73   -4  -1  -3      4.13      TAX  85     85    0.18895059  -0.54100124  20
## 74    3   1   4     -0.13 BENEFITS  32     32    1.41410972 -15.17185355  21
## 75   -4  -1  -3      4.13      TAX  85     85    0.06249604 -15.17185355  21
## 76   -4  -1  -3      4.13      TAX  85     85    0.28345134 -71.88695854  22
## 77    2   1   4      0.00 BENEFITS  31     31    2.43089716   2.67263766  23
## 78    3   1   4     -0.13 BENEFITS  32     32    2.39780478   2.67263766  23
## 79    3   1   3     -0.10   FAMILY  78     78    2.20689313   2.67263766  23
## 80   -2  -1  -3      1.86      TAX  91     91   -0.17851399   2.67263766  23
## 81   -2  -1  -2      2.37      TAX  92     92    0.03330951   2.67263766  23
## 82    2   1   4      0.00 BENEFITS  31     31    2.25890778  -3.80559056  24
## 83    3   1   4     -0.13 BENEFITS  32     32    2.46545581  -3.80559056  24
## 84    3   1   3     -0.10   FAMILY  78     78    1.64522843  -3.80559056  24
## 85   -4  -1  -3      4.13      TAX  85     85   -0.25929404  -3.80559056  24
## 86   -4  -1  -3      4.13      TAX  85     85    0.52422661 -55.22231834  25
## 87    3   1   4     -0.13 BENEFITS  32     32    2.68519292 -24.30796763  26
## 88   -4  -1  -3      4.13      TAX  85     85    0.24070379 -24.30796763  26
## 89    3   1   4     -0.13 BENEFITS  32     32    1.83126492 -23.26054481  27
## 90   -4  -1  -3      4.13      TAX  85     85   -0.26141718 -23.26054481  27
## 91    2   1   4      0.00 BENEFITS  31     31    2.10303914  -8.11553356  28
## 92    3   1   4     -0.13 BENEFITS  32     32    2.09801838  -8.11553356  28
## 93   -4  -1  -3      4.13      TAX  85     85   -0.73175643  -8.11553356  28
## 94    2   1   4      0.00 BENEFITS  31     31    1.73634548  -1.72685058  29
## 95    3   1   4     -0.13 BENEFITS  32     32    1.78795655  -1.72685058  29
## 96    3   1   3     -0.10   FAMILY  78     78    1.61569092  -1.72685058  29
## 97   -4  -1  -3      4.13      TAX  85     85   -0.19181922  -1.72685058  29
## 98    2   1   4      0.00 BENEFITS  31     31    2.51905137  -5.98261711  30
## 99    3   1   4     -0.13 BENEFITS  32     32    2.58477197  -5.98261711  30
## 100   3   1   3     -0.10   FAMILY  78     78    2.29219322  -5.98261711  30
## 101  -4  -1  -3      4.13      TAX  85     85    0.13999241  -5.98261711  30
## 102  -4  -1  -3      4.13      TAX  85     85    0.03615743 -58.44307482  31
## 103   2   1   4      0.00 BENEFITS  31     31    2.21066028 -16.80842752  32
## 104   3   1   4     -0.13 BENEFITS  32     32    2.21214476 -16.80842752  32
## 105  -4  -1  -3      4.13      TAX  85     85   -0.30680973 -16.80842752  32
## 106   2   1   4      0.00 BENEFITS  31     31    1.41152473 -19.06566900  33
## 107   3   1   4     -0.13 BENEFITS  32     32    1.52928984 -19.06566900  33
## 108  -4  -1  -3      4.13      TAX  85     85    1.17482218 -19.06566900  33
## 109   2   1   4      0.00 BENEFITS  31     31    1.53842928   3.78240692  34
## 110   3   1   4     -0.13 BENEFITS  32     32    1.57863645   3.78240692  34
## 111   3   1   3     -0.10   FAMILY  78     78    1.65931796   3.78240692  34
## 112  -2  -1  -3      1.86      TAX  91     91    1.27295869   3.78240692  34
## 113  -2  -1  -2      2.37      TAX  92     92    1.23127914   3.78240692  34
## 114   2   1   4      0.00 BENEFITS  31     31    2.29144909  -3.61202218  35
## 115   3   1   4     -0.13 BENEFITS  32     32    2.39727507  -3.61202218  35
## 116   3   1   3     -0.10   FAMILY  78     78    2.09295169  -3.61202218  35
## 117  -4  -1  -3      4.13      TAX  85     85    0.34169235  -3.61202218  35
## 118   2   1   4      0.00 BENEFITS  31     31    1.53215073   0.02624026  36
## 119   3   1   4     -0.13 BENEFITS  32     32    1.63968682   0.02624026  36
## 120   3   1   3     -0.10   FAMILY  78     78    1.17029519   0.02624026  36
## 121  -2  -1  -3      1.86      TAX  91     91    0.51804551   0.02624026  36
## 122  -2  -1  -2      2.37      TAX  92     92    0.35353994   0.02624026  36
## 123  -4  -1  -3      4.13      TAX  85     85    0.03706438 -36.40756985  37
## 124   2   1   4      0.00 BENEFITS  31     31    0.85457304  -0.23304293  38
## 125   3   1   4     -0.13 BENEFITS  32     32    0.83378956  -0.23304293  38
## 126   3   1   3     -0.10   FAMILY  78     78    0.75608952  -0.23304293  38
## 127  -2  -1  -3      1.86      TAX  91     91    0.44608159  -0.23304293  38
## 128  -2  -1  -2      2.37      TAX  92     92    0.57639522  -0.23304293  38
## 129  -4  -1  -3      4.13      TAX  85     85    0.06208171 -42.99281110  39
## 130   2   1   4      0.00 BENEFITS  31     31    1.59390268   3.15083189  40
## 131   3   1   4     -0.13 BENEFITS  32     32    1.67862928   3.15083189  40
## 132   3   1   3     -0.10   FAMILY  78     78    1.17620086   3.15083189  40
## 133  -2  -1  -3      1.86      TAX  91     91    1.12295345   3.15083189  40
## 134  -2  -1  -2      2.37      TAX  92     92    0.90415808   3.15083189  40
## 135   2   1   4      0.00 BENEFITS  31     31    1.86789706  -8.37561123  41
## 136   3   1   4     -0.13 BENEFITS  32     32    2.10629649  -8.37561123  41
## 137  -4  -1  -3      4.13      TAX  85     85    0.07475027  -8.37561123  41
## 138  -4  -1  -3      4.13      TAX  85     85   -0.61408078 -62.72638899  42
## 139   3   1   4     -0.13 BENEFITS  32     32    2.29820480 -38.28061177  43
## 140  -4  -1  -3      4.13      TAX  85     85    1.05430874 -38.28061177  43
## 141   3   1   4     -0.13 BENEFITS  32     32    1.98170341 -35.56557351  44
## 142  -4  -1  -3      4.13      TAX  85     85   -0.42823289 -35.56557351  44
## 143   2   1   4      0.00 BENEFITS  31     31    0.78856476 -21.65736790  45
## 144   3   1   4     -0.13 BENEFITS  32     32    0.93464525 -21.65736790  45
## 145  -4  -1  -3      4.13      TAX  85     85    0.31832753 -21.65736790  45
## 146  -4  -1  -3      4.13      TAX  85     85    0.67497731 -61.14532403  46
## 147   2   1   4      0.00 BENEFITS  31     31    2.26908493   0.82048565  47
## 148   3   1   4     -0.13 BENEFITS  32     32    2.57968471   0.82048565  47
## 149   3   1   3     -0.10   FAMILY  78     78    2.23960310   0.82048565  47
## 150  -4  -1  -3      4.13      TAX  85     85   -1.01683722   0.82048565  47
## 151   2   1   4      0.00 BENEFITS  31     31    1.87016010   0.10635596  48
## 152   3   1   4     -0.13 BENEFITS  32     32    1.83318450   0.10635596  48
## 153   3   1   3     -0.10   FAMILY  78     78    1.33607571   0.10635596  48
## 154  -4  -1  -3      4.13      TAX  85     85    0.48983794   0.10635596  48
## 155  -4  -1  -3      4.13      TAX  85     85    0.42101610 -50.58768595  49
## 156   2   1   4      0.00 BENEFITS  31     31    1.90730099   5.88779456  50
## 157   3   1   4     -0.13 BENEFITS  32     32    1.96150139   5.88779456  50
## 158   3   1   3     -0.10   FAMILY  78     78    1.60318772   5.88779456  50
## 159   3   1   3     -0.03   FAMILY  83     83    1.62012923   5.88779456  50
## 160  -3  -1  -3      2.55      TAX  90     90    0.01778655   5.88779456  50
## 161  -2  -1  -3      1.86      TAX  91     91    0.37333372   5.88779456  50
## 162   3   1   4     -0.13 BENEFITS  32     32    1.14861855 -32.24534982  51
## 163  -4  -1  -3      4.13      TAX  85     85    0.99120062 -32.24534982  51
## 164   3   1   4     -0.13 BENEFITS  32     32    0.90296047 -40.81224823  52
## 165  -4  -1  -3      4.13      TAX  85     85    0.08789148 -40.81224823  52
## 166   2   1   4      0.00 BENEFITS  31     31    1.30693494   2.76565432  53
## 167   3   1   4     -0.13 BENEFITS  32     32    1.50797799   2.76565432  53
## 168   3   1   3     -0.10   FAMILY  78     78    1.54107924   2.76565432  53
## 169   3   1   3     -0.03   FAMILY  83     83    1.04830328   2.76565432  53
## 170  -3  -1  -3      2.55      TAX  90     90    0.29595325   2.76565432  53
## 171  -2  -1  -3      1.86      TAX  91     91    0.64228117   2.76565432  53
## 172   2   1   4      0.00 BENEFITS  31     31    1.32487505  -7.69406583  54
## 173   3   1   4     -0.13 BENEFITS  32     32    1.20961919  -7.69406583  54
## 174  -4  -1  -3      4.13      TAX  85     85    0.84997062  -7.69406583  54
## 175   2   1   4      0.00 BENEFITS  31     31    2.11323746 -18.50694927  55
## 176   3   1   4     -0.13 BENEFITS  32     32    2.15617898 -18.50694927  55
## 177  -4  -1  -3      4.13      TAX  85     85   -0.17155566 -18.50694927  55
## 178   3   1   4     -0.13 BENEFITS  32     32    1.98100575 -27.32848598  56
## 179  -4  -1  -3      4.13      TAX  85     85   -0.12458093 -27.32848598  56
## 180   3   1   4     -0.13 BENEFITS  32     32    1.91571881 -26.21304569  57
## 181  -4  -1  -3      4.13      TAX  85     85   -1.12051981 -26.21304569  57
## 182   3   1   4     -0.13 BENEFITS  32     32    2.40839247 -17.81033616  58
## 183  -4  -1  -3      4.13      TAX  85     85    0.11792107 -17.81033616  58
## 184   3   1   4     -0.13 BENEFITS  32     32    1.68194555 -18.74252280  59
## 185  -4  -1  -3      4.13      TAX  85     85   -0.13487428 -18.74252280  59
## 186   2   1   4      0.00 BENEFITS  31     31    2.32688555   3.48201436  60
## 187   3   1   4     -0.13 BENEFITS  32     32    2.27046965   3.48201436  60
## 188   3   1   3     -0.10   FAMILY  78     78    2.61309441   3.48201436  60
## 189   3   1   3     -0.03   FAMILY  83     83    1.64018884   3.48201436  60
## 190  -3  -1  -3      2.55      TAX  90     90   -1.16521670   3.48201436  60
## 191  -2  -1  -3      1.86      TAX  91     91   -0.45091181   3.48201436  60
## 192   2   1   4      0.00 BENEFITS  31     31    2.39073824   5.50258992  61
## 193   3   1   4     -0.13 BENEFITS  32     32    2.34607852   5.50258992  61
## 194   3   1   3     -0.10   FAMILY  78     78    1.51063193   5.50258992  61
## 195  -2  -1  -3      1.86      TAX  91     91    0.76771717   5.50258992  61
## 196  -2  -1  -2      2.37      TAX  92     92    0.74960828   5.50258992  61
## 197   3   1   4     -0.13 BENEFITS  32     32    1.61416675 -15.52616846  62
## 198  -4  -1  -3      4.13      TAX  85     85    0.14726615 -15.52616846  62
## 199   2   1   4      0.00 BENEFITS  31     31    1.62164189  -9.50139821  63
## 200   3   1   4     -0.13 BENEFITS  32     32    1.73599475  -9.50139821  63
## 201   3   1   3     -0.10   FAMILY  78     78    1.44177291  -9.50139821  63
## 202  -4  -1  -3      4.13      TAX  85     85   -0.06235437  -9.50139821  63
## 203   2   1   4      0.00 BENEFITS  31     31    2.40052271  -3.16815830  64
## 204   3   1   4     -0.13 BENEFITS  32     32    2.81295205  -3.16815830  64
## 205   3   1   3     -0.10   FAMILY  78     78    1.94420684  -3.16815830  64
## 206  -4  -1  -3      4.13      TAX  85     85   -0.25656684  -3.16815830  64
## 207   3   1   4     -0.13 BENEFITS  32     32    1.87540877 -34.52179108  65
## 208  -4  -1  -3      4.13      TAX  85     85    0.77445257 -34.52179108  65
## 209  -4  -1  -3      4.13      TAX  85     85    0.36984273 -42.34179818  66
## 210   2   1   4      0.00 BENEFITS  31     31    0.18310918  -9.76456688  67
## 211   3   1   4     -0.13 BENEFITS  32     32    0.09875195  -9.76456688  67
## 212  -4  -1  -3      4.13      TAX  85     85    1.91264974  -9.76456688  67
## 213   2   1   4      0.00 BENEFITS  31     31    1.23303563 -10.17702441  68
## 214   3   1   4     -0.13 BENEFITS  32     32    1.27256507 -10.17702441  68
## 215   3   1   3     -0.10   FAMILY  78     78    0.81645512 -10.17702441  68
## 216  -4  -1  -3      4.13      TAX  85     85    0.30205335 -10.17702441  68
## 217   2   1   4      0.00 BENEFITS  31     31    1.13801979 -12.60784504  69
## 218   3   1   4     -0.13 BENEFITS  32     32    1.42132416 -12.60784504  69
## 219  -4  -1  -3      4.13      TAX  85     85    0.22351019 -12.60784504  69
## 220   2   1   4      0.00 BENEFITS  31     31    1.64621648   3.21634788  70
## 221   3   1   4     -0.13 BENEFITS  32     32    1.78499365   3.21634788  70
## 222   3   1   3     -0.10   FAMILY  78     78    1.97894976   3.21634788  70
## 223  -3  -1  -3      2.55      TAX  90     90    0.57347920   3.21634788  70
## 224  -2  -1  -3      1.86      TAX  91     91    1.08931765   3.21634788  70
## 225   3   1   4     -0.13 BENEFITS  32     32    1.88187629 -26.10264092  71
## 226  -4  -1  -3      4.13      TAX  85     85   -0.81360686 -26.10264092  71
## 227   2   1   4      0.00 BENEFITS  31     31    0.37270587 -11.27061009  72
## 228   3   1   4     -0.13 BENEFITS  32     32    0.27214665 -11.27061009  72
## 229   3   1   3     -0.10   FAMILY  78     78    0.73262321 -11.27061009  72
## 230  -4  -1  -3      4.13      TAX  85     85    1.90418459 -11.27061009  72
## 231   2   1   4      0.00 BENEFITS  31     31    1.89680106  -1.84321433  73
## 232   3   1   4     -0.13 BENEFITS  32     32    1.99513326  -1.84321433  73
## 233   3   1   3     -0.10   FAMILY  78     78    1.19282711  -1.84321433  73
## 234  -4  -1  -3      4.13      TAX  85     85    0.27751561  -1.84321433  73
## 235   2   1   4      0.00 BENEFITS  31     31    1.64785487 -15.49423264  74
## 236   3   1   4     -0.13 BENEFITS  32     32    1.59615790 -15.49423264  74
## 237  -4  -1  -3      4.13      TAX  85     85   -0.52256331 -15.49423264  74
## 238   2   1   4      0.00 BENEFITS  31     31    2.07693971 -20.64474453  75
## 239   3   1   4     -0.13 BENEFITS  32     32    2.62922998 -20.64474453  75
## 240  -4  -1  -3      4.13      TAX  85     85   -0.79491252 -20.64474453  75
## 241  -4  -1  -3      4.13      TAX  85     85    0.85898951 -63.36439725  76
## 242   2   1   4      0.00 BENEFITS  31     31    1.94811344  -0.26950963  77
## 243   3   1   4     -0.13 BENEFITS  32     32    2.05020003  -0.26950963  77
## 244   3   1   3     -0.10   FAMILY  78     78    1.50570321  -0.26950963  77
## 245  -2  -1  -3      1.86      TAX  91     91    0.16699324  -0.26950963  77
## 246  -2  -1  -2      2.37      TAX  92     92    0.37575131  -0.26950963  77
## 247   2   1   4      0.00 BENEFITS  31     31    1.02808199  -6.14944572  78
## 248   3   1   4     -0.13 BENEFITS  32     32    0.93525563  -6.14944572  78
## 249  -4  -1  -3      4.13      TAX  85     85    0.81358064  -6.14944572  78
## 250   2   1   4      0.00 BENEFITS  31     31    1.63854918  -5.85215225  79
## 251   3   1   4     -0.13 BENEFITS  32     32    1.82775374  -5.85215225  79
## 252   3   1   3     -0.10   FAMILY  78     78    1.56200100  -5.85215225  79
## 253  -4  -1  -3      4.13      TAX  85     85    0.03138428  -5.85215225  79
## 254  -4  -1  -3      4.13      TAX  85     85   -0.57441945 -27.24777985  80
## 255   2   1   4      0.00 BENEFITS  31     31    1.16436946   3.51004811  81
## 256   3   1   4     -0.13 BENEFITS  32     32    1.33642538   3.51004811  81
## 257   3   1   3     -0.10   FAMILY  78     78    1.19940088   3.51004811  81
## 258  -3  -1  -3      2.55      TAX  90     90    1.15050512   3.51004811  81
## 259  -2  -1  -3      1.86      TAX  91     91    1.39327772   3.51004811  81
## 260   3   1   4     -0.13 BENEFITS  32     32    2.25937772 -37.62706444  82
## 261  -4  -1  -3      4.13      TAX  85     85   -0.44012627 -37.62706444  82
## 262  -4  -1  -3      4.13      TAX  85     85   -0.94699556 -59.15875922  83
## 263   2   1   4      0.00 BENEFITS  31     31    1.31491182 -17.79669456  84
## 264   3   1   4     -0.13 BENEFITS  32     32    1.29834909 -17.79669456  84
## 265  -4  -1  -3      4.13      TAX  85     85    1.27170976 -17.79669456  84
## 266   2   1   4      0.00 BENEFITS  31     31    1.81704003   3.00445917  85
## 267   3   1   4     -0.13 BENEFITS  32     32    1.73707978   3.00445917  85
## 268   3   1   3     -0.10   FAMILY  78     78    1.05164842   3.00445917  85
## 269   3   1   3     -0.03   FAMILY  83     83    1.32820149   3.00445917  85
## 270  -3  -1  -3      2.55      TAX  90     90    0.49493433   3.00445917  85
## 271  -2  -1  -3      1.86      TAX  91     91    0.71504963   3.00445917  85
## 272   3   1   4     -0.13 BENEFITS  32     32    2.15035646 -31.48106424  86
## 273  -4  -1  -3      4.13      TAX  85     85   -0.08219009 -31.48106424  86
## 274   2   1   4      0.00 BENEFITS  31     31    2.12969038 -13.62684259  87
## 275   3   1   4     -0.13 BENEFITS  32     32    2.23388577 -13.62684259  87
## 276  -4  -1  -3      4.13      TAX  85     85   -0.06642338 -13.62684259  87
## 277   2   1   4      0.00 BENEFITS  31     31    2.10947817   3.75144698  88
## 278   3   1   4     -0.13 BENEFITS  32     32    2.48082966   3.75144698  88
## 279   3   1   3     -0.10   FAMILY  78     78    1.68001739   3.75144698  88
## 280  -3  -1  -3      2.55      TAX  90     90    0.41258368   3.75144698  88
## 281  -2  -1  -3      1.86      TAX  91     91    0.91662539   3.75144698  88
## 282   2   1   4      0.00 BENEFITS  31     31    1.92005314   3.10277317  89
## 283   3   1   4     -0.13 BENEFITS  32     32    1.89516069   3.10277317  89
## 284   3   1   3     -0.10   FAMILY  78     78    2.11928784   3.10277317  89
## 285  -2  -1  -3      1.86      TAX  91     91    0.42557189   3.10277317  89
## 286  -2  -1  -2      2.37      TAX  92     92    0.63507100   3.10277317  89
## 287   3   1   4     -0.13 BENEFITS  32     32    2.01946946 -19.67046355  90
## 288  -4  -1  -3      4.13      TAX  85     85   -0.38378957 -19.67046355  90
## 289   2   1   4      0.00 BENEFITS  31     31    1.68983748   6.62065090  91
## 290   3   1   4     -0.13 BENEFITS  32     32    1.97266038   6.62065090  91
## 291   2   0   3     -0.16 BENEFITS  44     44    1.74858380   6.62065090  91
## 292   3   1   3     -0.10   FAMILY  78     78    2.01233049   6.62065090  91
## 293  -3  -1  -3      2.55      TAX  90     90    1.03273592   6.62065090  91
## 294  -2  -1  -3      1.86      TAX  91     91    1.73709120   6.62065090  91
## 295   2   1   4      0.00 BENEFITS  31     31    2.00981544 -13.87854098  92
## 296   3   1   4     -0.13 BENEFITS  32     32    2.12601687 -13.87854098  92
## 297  -4  -1  -3      4.13      TAX  85     85   -0.53558283 -13.87854098  92
## 298   2   1   4      0.00 BENEFITS  31     31    1.87750530  -5.44388173  93
## 299   3   1   4     -0.13 BENEFITS  32     32    1.99169871  -5.44388173  93
## 300  -4  -1  -3      4.13      TAX  85     85   -0.54740905  -5.44388173  93
## 301   3   1   4     -0.13 BENEFITS  32     32    2.36854758 -40.35720561  94
## 302  -4  -1  -3      4.13      TAX  85     85   -0.05048373 -40.35720561  94
## 303   2   1   4      0.00 BENEFITS  31     31    2.36377416   2.85005469  95
## 304   3   1   4     -0.13 BENEFITS  32     32    2.74349117   2.85005469  95
## 305   3   1   3     -0.10   FAMILY  78     78    2.10911200   2.85005469  95
## 306  -2  -1  -3      1.86      TAX  91     91   -0.15544928   2.85005469  95
## 307  -2  -1  -2      2.37      TAX  92     92   -1.02938366   2.85005469  95
## 308   2   1   4      0.00 BENEFITS  31     31    1.65814188 -13.85004050  96
## 309   3   1   4     -0.13 BENEFITS  32     32    1.69852752 -13.85004050  96
## 310  -4  -1  -3      4.13      TAX  85     85    0.39432674 -13.85004050  96
## 311   2   1   4      0.00 BENEFITS  31     31    1.80441151   2.08182334  97
## 312   3   1   4     -0.13 BENEFITS  32     32    2.22388306   2.08182334  97
## 313   3   1   3     -0.10   FAMILY  78     78    1.88729449   2.08182334  97
## 314   3   1   3     -0.03   FAMILY  83     83    1.65590044   2.08182334  97
## 315  -3  -1  -3      2.55      TAX  90     90   -1.22643652   2.08182334  97
## 316  -2  -1  -3      1.86      TAX  91     91   -0.41468469   2.08182334  97
## 317   2   1   4      0.00 BENEFITS  31     31    2.44507802 -13.74442718  98
## 318   3   1   4     -0.13 BENEFITS  32     32    2.59723961 -13.74442718  98
## 319  -4  -1  -3      4.13      TAX  85     85    0.38978099 -13.74442718  98
## 320   2   1   4      0.00 BENEFITS  31     31    2.10598428   1.07165899  99
## 321   3   1   4     -0.13 BENEFITS  32     32    2.32425905   1.07165899  99
## 322   3   1   3     -0.10   FAMILY  78     78    2.18714980   1.07165899  99
## 323  -4  -1  -3      4.13      TAX  85     85   -0.59406883   1.07165899  99
## 324   2   1   4      0.00 BENEFITS  31     31    1.84339995   5.62925948 100
## 325   3   1   4     -0.13 BENEFITS  32     32    2.31092813   5.62925948 100
## 326   3   1   3     -0.10   FAMILY  78     78    1.71738302   5.62925948 100
## 327  -2  -1  -3      1.86      TAX  91     91    1.65323282   5.62925948 100
## 328  -2  -1  -2      2.37      TAX  92     92    0.86181894   5.62925948 100
##        Lambda MaxCOAs       W_ICB1       W_ICB2       W_ICB3       W_ICB4
## 1   0.3401289       1 0.0001838299 9.883054e-05 0.0006584170 0.0016154701
## 2   0.4396112       5 0.0023617509 4.804821e-03 0.0028727801 0.0050118212
## 3   0.4396112       5 0.0023617509 4.804821e-03 0.0028727801 0.0050118212
## 4   0.4396112       5 0.0023617509 4.804821e-03 0.0028727801 0.0050118212
## 5   0.4396112       5 0.0023617509 4.804821e-03 0.0028727801 0.0050118212
## 6   0.4396112       5 0.0023617509 4.804821e-03 0.0028727801 0.0050118212
## 7   0.6646776       2 0.0329083400 1.030722e-01 0.1361908632 0.0374585568
## 8   0.6646776       2 0.0329083400 1.030722e-01 0.1361908632 0.0374585568
## 9   0.5032815       4 0.0108112406 7.827756e-03 0.0162246290 0.0019671941
## 10  0.5032815       4 0.0108112406 7.827756e-03 0.0162246290 0.0019671941
## 11  0.5032815       4 0.0108112406 7.827756e-03 0.0162246290 0.0019671941
## 12  0.5032815       4 0.0108112406 7.827756e-03 0.0162246290 0.0019671941
## 13  0.5404412       6 0.0133521547 4.375085e-02 0.0190739662 0.0516813116
## 14  0.5404412       6 0.0133521547 4.375085e-02 0.0190739662 0.0516813116
## 15  0.5404412       6 0.0133521547 4.375085e-02 0.0190739662 0.0516813116
## 16  0.5404412       6 0.0133521547 4.375085e-02 0.0190739662 0.0516813116
## 17  0.5404412       6 0.0133521547 4.375085e-02 0.0190739662 0.0516813116
## 18  0.5404412       6 0.0133521547 4.375085e-02 0.0190739662 0.0516813116
## 19  0.6458480       5 0.1126242676 3.526082e-02 0.0282412461 0.0188316394
## 20  0.6458480       5 0.1126242676 3.526082e-02 0.0282412461 0.0188316394
## 21  0.6458480       5 0.1126242676 3.526082e-02 0.0282412461 0.0188316394
## 22  0.6458480       5 0.1126242676 3.526082e-02 0.0282412461 0.0188316394
## 23  0.6458480       5 0.1126242676 3.526082e-02 0.0282412461 0.0188316394
## 24  0.2549730       2 0.0030232001 7.268384e-03 0.0001703448 0.0015684225
## 25  0.2549730       2 0.0030232001 7.268384e-03 0.0001703448 0.0015684225
## 26  0.6318892       3 0.0365576579 8.551602e-02 0.0749715177 0.0911836648
## 27  0.6318892       3 0.0365576579 8.551602e-02 0.0749715177 0.0911836648
## 28  0.6318892       3 0.0365576579 8.551602e-02 0.0749715177 0.0911836648
## 29  0.3665625       5 0.0159962092 6.384150e-03 0.0019855838 0.0165266520
## 30  0.3665625       5 0.0159962092 6.384150e-03 0.0019855838 0.0165266520
## 31  0.3665625       5 0.0159962092 6.384150e-03 0.0019855838 0.0165266520
## 32  0.3665625       5 0.0159962092 6.384150e-03 0.0019855838 0.0165266520
## 33  0.3665625       5 0.0159962092 6.384150e-03 0.0019855838 0.0165266520
## 34  0.4523787       2 0.0188110331 4.148177e-02 0.0009304104 0.0449855132
## 35  0.4523787       2 0.0188110331 4.148177e-02 0.0009304104 0.0449855132
## 36  0.6169914       6 0.0379840218 5.628629e-02 0.0422307723 0.0866714351
## 37  0.6169914       6 0.0379840218 5.628629e-02 0.0422307723 0.0866714351
## 38  0.6169914       6 0.0379840218 5.628629e-02 0.0422307723 0.0866714351
## 39  0.6169914       6 0.0379840218 5.628629e-02 0.0422307723 0.0866714351
## 40  0.6169914       6 0.0379840218 5.628629e-02 0.0422307723 0.0866714351
## 41  0.6169914       6 0.0379840218 5.628629e-02 0.0422307723 0.0866714351
## 42  0.3771661       5 0.0461090724 1.739698e-02 0.0361743525 0.0326282322
## 43  0.3771661       5 0.0461090724 1.739698e-02 0.0361743525 0.0326282322
## 44  0.3771661       5 0.0461090724 1.739698e-02 0.0361743525 0.0326282322
## 45  0.3771661       5 0.0461090724 1.739698e-02 0.0361743525 0.0326282322
## 46  0.3771661       5 0.0461090724 1.739698e-02 0.0361743525 0.0326282322
## 47  0.5291768       1 0.0123473564 1.390957e-02 0.0495386888 0.0510129582
## 48  0.4601901       6 0.0202932791 5.923099e-03 0.0198952298 0.0032856383
## 49  0.4601901       6 0.0202932791 5.923099e-03 0.0198952298 0.0032856383
## 50  0.4601901       6 0.0202932791 5.923099e-03 0.0198952298 0.0032856383
## 51  0.4601901       6 0.0202932791 5.923099e-03 0.0198952298 0.0032856383
## 52  0.4601901       6 0.0202932791 5.923099e-03 0.0198952298 0.0032856383
## 53  0.4601901       6 0.0202932791 5.923099e-03 0.0198952298 0.0032856383
## 54  0.6117012       3 0.0697573804 4.097972e-02 0.0107696786 0.0100336705
## 55  0.6117012       3 0.0697573804 4.097972e-02 0.0107696786 0.0100336705
## 56  0.6117012       3 0.0697573804 4.097972e-02 0.0107696786 0.0100336705
## 57  0.4703193       6 0.0039260902 4.428387e-03 0.0048714300 0.0089556534
## 58  0.4703193       6 0.0039260902 4.428387e-03 0.0048714300 0.0089556534
## 59  0.4703193       6 0.0039260902 4.428387e-03 0.0048714300 0.0089556534
## 60  0.4703193       6 0.0039260902 4.428387e-03 0.0048714300 0.0089556534
## 61  0.4703193       6 0.0039260902 4.428387e-03 0.0048714300 0.0089556534
## 62  0.4703193       6 0.0039260902 4.428387e-03 0.0048714300 0.0089556534
## 63  0.5084174       3 0.0169102177 6.164914e-03 0.0130693077 0.0056782993
## 64  0.5084174       3 0.0169102177 6.164914e-03 0.0130693077 0.0056782993
## 65  0.5084174       3 0.0169102177 6.164914e-03 0.0130693077 0.0056782993
## 66  0.6834978       2 0.0003353111 1.286502e-03 0.0003846684 0.0004471789
## 67  0.6834978       2 0.0003353111 1.286502e-03 0.0003846684 0.0004471789
## 68  0.4451432       2 0.0394102284 2.629006e-02 0.0159810441 0.0036404115
## 69  0.4451432       2 0.0394102284 2.629006e-02 0.0159810441 0.0036404115
## 70  0.2282540       4 0.0070413824 1.556340e-02 0.0134364692 0.0177513124
## 71  0.2282540       4 0.0070413824 1.556340e-02 0.0134364692 0.0177513124
## 72  0.2282540       4 0.0070413824 1.556340e-02 0.0134364692 0.0177513124
## 73  0.2282540       4 0.0070413824 1.556340e-02 0.0134364692 0.0177513124
## 74  0.2448303       2 0.0045016593 2.303286e-02 0.0257592633 0.0058061626
## 75  0.2448303       2 0.0045016593 2.303286e-02 0.0257592633 0.0058061626
## 76  0.6221587       1 0.0352562193 2.428871e-02 0.0084199386 0.0045283487
## 77  0.4217753       5 0.0405540096 5.734813e-03 0.0094745055 0.0679823721
## 78  0.4217753       5 0.0405540096 5.734813e-03 0.0094745055 0.0679823721
## 79  0.4217753       5 0.0405540096 5.734813e-03 0.0094745055 0.0679823721
## 80  0.4217753       5 0.0405540096 5.734813e-03 0.0094745055 0.0679823721
## 81  0.4217753       5 0.0405540096 5.734813e-03 0.0094745055 0.0679823721
## 82  0.4507222       4 0.0366955403 7.985793e-02 0.0576355360 0.1212571428
## 83  0.4507222       4 0.0366955403 7.985793e-02 0.0576355360 0.1212571428
## 84  0.4507222       4 0.0366955403 7.985793e-02 0.0576355360 0.1212571428
## 85  0.4507222       4 0.0366955403 7.985793e-02 0.0576355360 0.1212571428
## 86  0.4805737       1 0.0529430141 4.449237e-02 0.0178349340 0.0477176816
## 87  0.4004980       2 0.0026514093 4.519869e-03 0.0013641120 0.0086985170
## 88  0.4004980       2 0.0026514093 4.519869e-03 0.0013641120 0.0086985170
## 89  0.3651528       2 0.0081216094 5.176442e-02 0.0089323017 0.0195962877
## 90  0.3651528       2 0.0081216094 5.176442e-02 0.0089323017 0.0195962877
## 91  0.3131036       3 0.0551266921 1.975941e-02 0.0028989693 0.0541575186
## 92  0.3131036       3 0.0551266921 1.975941e-02 0.0028989693 0.0541575186
## 93  0.3131036       3 0.0551266921 1.975941e-02 0.0028989693 0.0541575186
## 94  0.3034102       4 0.0644321672 1.692025e-01 0.0983674854 0.0273956480
## 95  0.3034102       4 0.0644321672 1.692025e-01 0.0983674854 0.0273956480
## 96  0.3034102       4 0.0644321672 1.692025e-01 0.0983674854 0.0273956480
## 97  0.3034102       4 0.0644321672 1.692025e-01 0.0983674854 0.0273956480
## 98  0.6144830       4 0.0013378236 2.782961e-02 0.0086522197 0.0256138393
## 99  0.6144830       4 0.0013378236 2.782961e-02 0.0086522197 0.0256138393
## 100 0.6144830       4 0.0013378236 2.782961e-02 0.0086522197 0.0256138393
## 101 0.6144830       4 0.0013378236 2.782961e-02 0.0086522197 0.0256138393
## 102 0.5041313       1 0.0117102981 1.943850e-02 0.0304809648 0.0238723817
## 103 0.5655249       3 0.0018354446 3.881888e-03 0.0009789519 0.0020682024
## 104 0.5655249       3 0.0018354446 3.881888e-03 0.0009789519 0.0020682024
## 105 0.5655249       3 0.0018354446 3.881888e-03 0.0009789519 0.0020682024
## 106 0.6265218       3 0.0146765929 1.320089e-02 0.0050406703 0.0106373518
## 107 0.6265218       3 0.0146765929 1.320089e-02 0.0050406703 0.0106373518
## 108 0.6265218       3 0.0146765929 1.320089e-02 0.0050406703 0.0106373518
## 109 0.3498215       5 0.0225812589 7.828021e-02 0.0807167348 0.1726258971
## 110 0.3498215       5 0.0225812589 7.828021e-02 0.0807167348 0.1726258971
## 111 0.3498215       5 0.0225812589 7.828021e-02 0.0807167348 0.1726258971
## 112 0.3498215       5 0.0225812589 7.828021e-02 0.0807167348 0.1726258971
## 113 0.3498215       5 0.0225812589 7.828021e-02 0.0807167348 0.1726258971
## 114 0.4879723       4 0.0177239188 5.260715e-02 0.0038315556 0.0288530104
## 115 0.4879723       4 0.0177239188 5.260715e-02 0.0038315556 0.0288530104
## 116 0.4879723       4 0.0177239188 5.260715e-02 0.0038315556 0.0288530104
## 117 0.4879723       4 0.0177239188 5.260715e-02 0.0038315556 0.0288530104
## 118 0.5187478       5 0.0493399808 1.159282e-02 0.1985197605 0.1080518717
## 119 0.5187478       5 0.0493399808 1.159282e-02 0.1985197605 0.1080518717
## 120 0.5187478       5 0.0493399808 1.159282e-02 0.1985197605 0.1080518717
## 121 0.5187478       5 0.0493399808 1.159282e-02 0.1985197605 0.1080518717
## 122 0.5187478       5 0.0493399808 1.159282e-02 0.1985197605 0.1080518717
## 123 0.3141779       1 0.0020147376 2.362725e-02 0.0070856578 0.0134499268
## 124 0.3699972       5 0.0498559992 4.304364e-02 0.0624977808 0.0806164595
## 125 0.3699972       5 0.0498559992 4.304364e-02 0.0624977808 0.0806164595
## 126 0.3699972       5 0.0498559992 4.304364e-02 0.0624977808 0.0806164595
## 127 0.3699972       5 0.0498559992 4.304364e-02 0.0624977808 0.0806164595
## 128 0.3699972       5 0.0498559992 4.304364e-02 0.0624977808 0.0806164595
## 129 0.3711629       1 0.0855586613 1.516438e-02 0.0259910851 0.0318429601
## 130 0.3325012       5 0.0029091976 2.661546e-03 0.0005859359 0.0005145686
## 131 0.3325012       5 0.0029091976 2.661546e-03 0.0005859359 0.0005145686
## 132 0.3325012       5 0.0029091976 2.661546e-03 0.0005859359 0.0005145686
## 133 0.3325012       5 0.0029091976 2.661546e-03 0.0005859359 0.0005145686
## 134 0.3325012       5 0.0029091976 2.661546e-03 0.0005859359 0.0005145686
## 135 0.3357988       3 0.0244663391 2.117738e-02 0.0100418530 0.0278642276
## 136 0.3357988       3 0.0244663391 2.117738e-02 0.0100418530 0.0278642276
## 137 0.3357988       3 0.0244663391 2.117738e-02 0.0100418530 0.0278642276
## 138 0.5354509       1 0.0023322196 2.601442e-02 0.0166497358 0.0388998345
## 139 0.6122518       2 0.0015833120 4.051343e-03 0.0023352111 0.0012105138
## 140 0.6122518       2 0.0015833120 4.051343e-03 0.0023352111 0.0012105138
## 141 0.5458683       2 0.0240732533 6.119764e-02 0.0096680189 0.0072326546
## 142 0.5458683       2 0.0240732533 6.119764e-02 0.0096680189 0.0072326546
## 143 0.6405110       3 0.0107412760 5.942964e-04 0.0030080155 0.0038880232
## 144 0.6405110       3 0.0107412760 5.942964e-04 0.0030080155 0.0038880232
## 145 0.6405110       3 0.0107412760 5.942964e-04 0.0030080155 0.0038880232
## 146 0.5329336       1 0.0821313667 3.332758e-02 0.0483955567 0.1146024120
## 147 0.2386841       4 0.0112323333 4.669456e-02 0.0070292563 0.0254808912
## 148 0.2386841       4 0.0112323333 4.669456e-02 0.0070292563 0.0254808912
## 149 0.2386841       4 0.0112323333 4.669456e-02 0.0070292563 0.0254808912
## 150 0.2386841       4 0.0112323333 4.669456e-02 0.0070292563 0.0254808912
## 151 0.2464956       4 0.0702459285 6.170310e-02 0.0463896512 0.1152270285
## 152 0.2464956       4 0.0702459285 6.170310e-02 0.0463896512 0.1152270285
## 153 0.2464956       4 0.0702459285 6.170310e-02 0.0463896512 0.1152270285
## 154 0.2464956       4 0.0702459285 6.170310e-02 0.0463896512 0.1152270285
## 155 0.4397302       1 0.0180249481 4.032243e-02 0.0043752757 0.0204715243
## 156 0.2659075       6 0.0615578468 1.363130e-01 0.0589309329 0.1308353615
## 157 0.2659075       6 0.0615578468 1.363130e-01 0.0589309329 0.1308353615
## 158 0.2659075       6 0.0615578468 1.363130e-01 0.0589309329 0.1308353615
## 159 0.2659075       6 0.0615578468 1.363130e-01 0.0589309329 0.1308353615
## 160 0.2659075       6 0.0615578468 1.363130e-01 0.0589309329 0.1308353615
## 161 0.2659075       6 0.0615578468 1.363130e-01 0.0589309329 0.1308353615
## 162 0.5056642       2 0.0329449075 3.700275e-02 0.0401867643 0.0346988377
## 163 0.5056642       2 0.0329449075 3.700275e-02 0.0401867643 0.0346988377
## 164 0.6147515       2 0.0220842384 1.672382e-02 0.0578699413 0.0403121727
## 165 0.6147515       2 0.0220842384 1.672382e-02 0.0578699413 0.0403121727
## 166 0.5961459       6 0.0055652002 2.112972e-02 0.0119166201 0.0155993833
## 167 0.5961459       6 0.0055652002 2.112972e-02 0.0119166201 0.0155993833
## 168 0.5961459       6 0.0055652002 2.112972e-02 0.0119166201 0.0155993833
## 169 0.5961459       6 0.0055652002 2.112972e-02 0.0119166201 0.0155993833
## 170 0.5961459       6 0.0055652002 2.112972e-02 0.0119166201 0.0155993833
## 171 0.5961459       6 0.0055652002 2.112972e-02 0.0119166201 0.0155993833
## 172 0.2994197       3 0.0374337815 5.497523e-03 0.0345255589 0.0401307305
## 173 0.2994197       3 0.0374337815 5.497523e-03 0.0345255589 0.0401307305
## 174 0.2994197       3 0.0374337815 5.497523e-03 0.0345255589 0.0401307305
## 175 0.6109408       3 0.0199543476 4.482619e-02 0.0959857770 0.2830108547
## 176 0.6109408       3 0.0199543476 4.482619e-02 0.0959857770 0.2830108547
## 177 0.6109408       3 0.0199543476 4.482619e-02 0.0959857770 0.2830108547
## 178 0.4291899       2 0.0227982595 8.159945e-03 0.0119830479 0.0225308867
## 179 0.4291899       2 0.0227982595 8.159945e-03 0.0119830479 0.0225308867
## 180 0.3971801       2 0.0106718921 3.530874e-02 0.0435970481 0.0449934202
## 181 0.3971801       2 0.0106718921 3.530874e-02 0.0435970481 0.0449934202
## 182 0.2990684       2 0.0050660087 6.660172e-02 0.0131103230 0.0710185082
## 183 0.2990684       2 0.0050660087 6.660172e-02 0.0131103230 0.0710185082
## 184 0.2983764       2 0.0381301015 1.556100e-01 0.0391872530 0.0522823848
## 185 0.2983764       2 0.0381301015 1.556100e-01 0.0391872530 0.0522823848
## 186 0.6254159       6 0.0114979080 7.766542e-02 0.0609092740 0.0448209825
## 187 0.6254159       6 0.0114979080 7.766542e-02 0.0609092740 0.0448209825
## 188 0.6254159       6 0.0114979080 7.766542e-02 0.0609092740 0.0448209825
## 189 0.6254159       6 0.0114979080 7.766542e-02 0.0609092740 0.0448209825
## 190 0.6254159       6 0.0114979080 7.766542e-02 0.0609092740 0.0448209825
## 191 0.6254159       6 0.0114979080 7.766542e-02 0.0609092740 0.0448209825
## 192 0.2262184       5 0.0550518538 8.238072e-02 0.0646593576 0.0386065314
## 193 0.2262184       5 0.0550518538 8.238072e-02 0.0646593576 0.0386065314
## 194 0.2262184       5 0.0550518538 8.238072e-02 0.0646593576 0.0386065314
## 195 0.2262184       5 0.0550518538 8.238072e-02 0.0646593576 0.0386065314
## 196 0.2262184       5 0.0550518538 8.238072e-02 0.0646593576 0.0386065314
## 197 0.2542294       2 0.0266534501 2.637782e-02 0.0614152742 0.0265479566
## 198 0.2542294       2 0.0266534501 2.637782e-02 0.0614152742 0.0265479566
## 199 0.6472024       4 0.0377259475 8.141959e-02 0.2924141166 0.0286613727
## 200 0.6472024       4 0.0377259475 8.141959e-02 0.2924141166 0.0286613727
## 201 0.6472024       4 0.0377259475 8.141959e-02 0.2924141166 0.0286613727
## 202 0.6472024       4 0.0377259475 8.141959e-02 0.2924141166 0.0286613727
## 203 0.4576942       4 0.0009833294 2.375982e-02 0.0005055121 0.0039418700
## 204 0.4576942       4 0.0009833294 2.375982e-02 0.0005055121 0.0039418700
## 205 0.4576942       4 0.0009833294 2.375982e-02 0.0005055121 0.0039418700
## 206 0.4576942       4 0.0009833294 2.375982e-02 0.0005055121 0.0039418700
## 207 0.5466419       2 0.0476571355 2.363452e-02 0.0283329460 0.0770138259
## 208 0.5466419       2 0.0476571355 2.363452e-02 0.0283329460 0.0770138259
## 209 0.3682038       1 0.0368734438 7.692654e-02 0.0621307989 0.0537595504
## 210 0.3232183       3 0.0146329893 1.586712e-02 0.0613132992 0.0471546094
## 211 0.3232183       3 0.0146329893 1.586712e-02 0.0613132992 0.0471546094
## 212 0.3232183       3 0.0146329893 1.586712e-02 0.0613132992 0.0471546094
## 213 0.6273243       4 0.0810831358 1.398281e-02 0.0993352501 0.0507074061
## 214 0.6273243       4 0.0810831358 1.398281e-02 0.0993352501 0.0507074061
## 215 0.6273243       4 0.0810831358 1.398281e-02 0.0993352501 0.0507074061
## 216 0.6273243       4 0.0810831358 1.398281e-02 0.0993352501 0.0507074061
## 217 0.4159648       3 0.0160935954 5.040460e-03 0.0041516901 0.0208421422
## 218 0.4159648       3 0.0160935954 5.040460e-03 0.0041516901 0.0208421422
## 219 0.4159648       3 0.0160935954 5.040460e-03 0.0041516901 0.0208421422
## 220 0.3856609       5 0.0260642864 1.875589e-02 0.0185252705 0.0040074709
## 221 0.3856609       5 0.0260642864 1.875589e-02 0.0185252705 0.0040074709
## 222 0.3856609       5 0.0260642864 1.875589e-02 0.0185252705 0.0040074709
## 223 0.3856609       5 0.0260642864 1.875589e-02 0.0185252705 0.0040074709
## 224 0.3856609       5 0.0260642864 1.875589e-02 0.0185252705 0.0040074709
## 225 0.3995722       2 0.0072569926 2.816133e-03 0.0007347589 0.0094415436
## 226 0.3995722       2 0.0072569926 2.816133e-03 0.0007347589 0.0094415436
## 227 0.6614668       4 0.0024866801 2.230748e-03 0.0002334788 0.0008804883
## 228 0.6614668       4 0.0024866801 2.230748e-03 0.0002334788 0.0008804883
## 229 0.6614668       4 0.0024866801 2.230748e-03 0.0002334788 0.0008804883
## 230 0.6614668       4 0.0024866801 2.230748e-03 0.0002334788 0.0008804883
## 231 0.3275223       4 0.1612968416 6.248670e-02 0.0323747278 0.1280088305
## 232 0.3275223       4 0.1612968416 6.248670e-02 0.0323747278 0.1280088305
## 233 0.3275223       4 0.1612968416 6.248670e-02 0.0323747278 0.1280088305
## 234 0.3275223       4 0.1612968416 6.248670e-02 0.0323747278 0.1280088305
## 235 0.4923157       3 0.0012610708 1.742157e-01 0.0490623984 0.1166824885
## 236 0.4923157       3 0.0012610708 1.742157e-01 0.0490623984 0.1166824885
## 237 0.4923157       3 0.0012610708 1.742157e-01 0.0490623984 0.1166824885
## 238 0.6636757       3 0.0381738949 2.376325e-02 0.0121623571 0.0071592110
## 239 0.6636757       3 0.0381738949 2.376325e-02 0.0121623571 0.0071592110
## 240 0.6636757       3 0.0381738949 2.376325e-02 0.0121623571 0.0071592110
## 241 0.5536499       1 0.0148688053 3.387540e-02 0.0353801998 0.0155235566
## 242 0.6316271       5 0.0046841724 9.005658e-02 0.1000233912 0.0631422285
## 243 0.6316271       5 0.0046841724 9.005658e-02 0.1000233912 0.0631422285
## 244 0.6316271       5 0.0046841724 9.005658e-02 0.1000233912 0.0631422285
## 245 0.6316271       5 0.0046841724 9.005658e-02 0.1000233912 0.0631422285
## 246 0.6316271       5 0.0046841724 9.005658e-02 0.1000233912 0.0631422285
## 247 0.2412531       3 0.0016404448 1.473482e-02 0.0091467469 0.0014389118
## 248 0.2412531       3 0.0016404448 1.473482e-02 0.0091467469 0.0014389118
## 249 0.2412531       3 0.0016404448 1.473482e-02 0.0091467469 0.0014389118
## 250 0.4959927       4 0.0309644470 8.437570e-02 0.0788220897 0.0108267284
## 251 0.4959927       4 0.0309644470 8.437570e-02 0.0788220897 0.0108267284
## 252 0.4959927       4 0.0309644470 8.437570e-02 0.0788220897 0.0108267284
## 253 0.4959927       4 0.0309644470 8.437570e-02 0.0788220897 0.0108267284
## 254 0.2299428       1 0.0020418793 2.081538e-03 0.0022051839 0.0086814516
## 255 0.2733930       5 0.0206471379 2.950590e-02 0.0172848972 0.0088651283
## 256 0.2733930       5 0.0206471379 2.950590e-02 0.0172848972 0.0088651283
## 257 0.2733930       5 0.0206471379 2.950590e-02 0.0172848972 0.0088651283
## 258 0.2733930       5 0.0206471379 2.950590e-02 0.0172848972 0.0088651283
## 259 0.2733930       5 0.0206471379 2.950590e-02 0.0172848972 0.0088651283
## 260 0.5800929       2 0.1799982233 1.936154e-01 0.0701481377 0.0816594161
## 261 0.5800929       2 0.1799982233 1.936154e-01 0.0701481377 0.0816594161
## 262 0.5018255       1 0.1032608082 9.792262e-02 0.0091547514 0.0211707584
## 263 0.5859910       3 0.0074278603 1.475833e-02 0.0251013428 0.0155282202
## 264 0.5859910       3 0.0074278603 1.475833e-02 0.0251013428 0.0155282202
## 265 0.5859910       3 0.0074278603 1.475833e-02 0.0251013428 0.0155282202
## 266 0.6899158       6 0.1303565497 1.096112e-01 0.0675815255 0.0900446334
## 267 0.6899158       6 0.1303565497 1.096112e-01 0.0675815255 0.0900446334
## 268 0.6899158       6 0.1303565497 1.096112e-01 0.0675815255 0.0900446334
## 269 0.6899158       6 0.1303565497 1.096112e-01 0.0675815255 0.0900446334
## 270 0.6899158       6 0.1303565497 1.096112e-01 0.0675815255 0.0900446334
## 271 0.6899158       6 0.1303565497 1.096112e-01 0.0675815255 0.0900446334
## 272 0.4933710       2 0.0254088688 3.741287e-02 0.0663058445 0.0353357203
## 273 0.4933710       2 0.0254088688 3.741287e-02 0.0663058445 0.0353357203
## 274 0.4844323       3 0.0507532866 6.176393e-02 0.0204874273 0.1291813431
## 275 0.4844323       3 0.0507532866 6.176393e-02 0.0204874273 0.1291813431
## 276 0.4844323       3 0.0507532866 6.176393e-02 0.0204874273 0.1291813431
## 277 0.3848087       5 0.0007297865 4.691957e-04 0.0011189161 0.0013575542
## 278 0.3848087       5 0.0007297865 4.691957e-04 0.0011189161 0.0013575542
## 279 0.3848087       5 0.0007297865 4.691957e-04 0.0011189161 0.0013575542
## 280 0.3848087       5 0.0007297865 4.691957e-04 0.0011189161 0.0013575542
## 281 0.3848087       5 0.0007297865 4.691957e-04 0.0011189161 0.0013575542
## 282 0.3892371       5 0.0360173684 8.677285e-03 0.0642268556 0.0577129672
## 283 0.3892371       5 0.0360173684 8.677285e-03 0.0642268556 0.0577129672
## 284 0.3892371       5 0.0360173684 8.677285e-03 0.0642268556 0.0577129672
## 285 0.3892371       5 0.0360173684 8.677285e-03 0.0642268556 0.0577129672
## 286 0.3892371       5 0.0360173684 8.677285e-03 0.0642268556 0.0577129672
## 287 0.3133256       2 0.0042500729 5.359088e-02 0.0309908126 0.0486426624
## 288 0.3133256       2 0.0042500729 5.359088e-02 0.0309908126 0.0486426624
## 289 0.5103698       6 0.0130876608 6.420881e-02 0.0281023776 0.0041623044
## 290 0.5103698       6 0.0130876608 6.420881e-02 0.0281023776 0.0041623044
## 291 0.5103698       6 0.0130876608 6.420881e-02 0.0281023776 0.0041623044
## 292 0.5103698       6 0.0130876608 6.420881e-02 0.0281023776 0.0041623044
## 293 0.5103698       6 0.0130876608 6.420881e-02 0.0281023776 0.0041623044
## 294 0.5103698       6 0.0130876608 6.420881e-02 0.0281023776 0.0041623044
## 295 0.4723997       3 0.0003825170 5.684642e-02 0.0633191905 0.0090034942
## 296 0.4723997       3 0.0003825170 5.684642e-02 0.0633191905 0.0090034942
## 297 0.4723997       3 0.0003825170 5.684642e-02 0.0633191905 0.0090034942
## 298 0.2369102       3 0.0683275062 8.837626e-02 0.0380780967 0.0197682052
## 299 0.2369102       3 0.0683275062 8.837626e-02 0.0380780967 0.0197682052
## 300 0.2369102       3 0.0683275062 8.837626e-02 0.0380780967 0.0197682052
## 301 0.6275775       2 0.0397364415 2.349145e-02 0.0273090405 0.0270031234
## 302 0.6275775       2 0.0397364415 2.349145e-02 0.0273090405 0.0270031234
## 303 0.3181490       5 0.0651867492 2.852917e-02 0.0131818195 0.0377804282
## 304 0.3181490       5 0.0651867492 2.852917e-02 0.0131818195 0.0377804282
## 305 0.3181490       5 0.0651867492 2.852917e-02 0.0131818195 0.0377804282
## 306 0.3181490       5 0.0651867492 2.852917e-02 0.0131818195 0.0377804282
## 307 0.3181490       5 0.0651867492 2.852917e-02 0.0131818195 0.0377804282
## 308 0.4757037       3 0.0951332309 1.518822e-02 0.0663424665 0.0026876478
## 309 0.4757037       3 0.0951332309 1.518822e-02 0.0663424665 0.0026876478
## 310 0.4757037       3 0.0951332309 1.518822e-02 0.0663424665 0.0026876478
## 311 0.6414242       6 0.0097727212 1.744939e-02 0.0302079380 0.0085411496
## 312 0.6414242       6 0.0097727212 1.744939e-02 0.0302079380 0.0085411496
## 313 0.6414242       6 0.0097727212 1.744939e-02 0.0302079380 0.0085411496
## 314 0.6414242       6 0.0097727212 1.744939e-02 0.0302079380 0.0085411496
## 315 0.6414242       6 0.0097727212 1.744939e-02 0.0302079380 0.0085411496
## 316 0.6414242       6 0.0097727212 1.744939e-02 0.0302079380 0.0085411496
## 317 0.5182845       3 0.0196632627 1.018709e-02 0.0192902030 0.0068917071
## 318 0.5182845       3 0.0196632627 1.018709e-02 0.0192902030 0.0068917071
## 319 0.5182845       3 0.0196632627 1.018709e-02 0.0192902030 0.0068917071
## 320 0.2250757       4 0.0230445792 3.008613e-02 0.0084943837 0.0282163312
## 321 0.2250757       4 0.0230445792 3.008613e-02 0.0084943837 0.0282163312
## 322 0.2250757       4 0.0230445792 3.008613e-02 0.0084943837 0.0282163312
## 323 0.2250757       4 0.0230445792 3.008613e-02 0.0084943837 0.0282163312
## 324 0.2757503       5 0.0164538584 1.608394e-02 0.0023216212 0.0340257348
## 325 0.2757503       5 0.0164538584 1.608394e-02 0.0023216212 0.0340257348
## 326 0.2757503       5 0.0164538584 1.608394e-02 0.0023216212 0.0340257348
## 327 0.2757503       5 0.0164538584 1.608394e-02 0.0023216212 0.0340257348
## 328 0.2757503       5 0.0164538584 1.608394e-02 0.0023216212 0.0340257348
##             W_T1         W_T2        W_T3         W_T4        W_E1         W_E2
## 1   0.0829347944 0.0587632072 0.012458047 2.386577e-02 0.035324056 1.011492e-02
## 2   0.0021887070 0.0023820148 0.001698824 6.817475e-04 0.009969528 7.708648e-02
## 3   0.0021887070 0.0023820148 0.001698824 6.817475e-04 0.009969528 7.708648e-02
## 4   0.0021887070 0.0023820148 0.001698824 6.817475e-04 0.009969528 7.708648e-02
## 5   0.0021887070 0.0023820148 0.001698824 6.817475e-04 0.009969528 7.708648e-02
## 6   0.0021887070 0.0023820148 0.001698824 6.817475e-04 0.009969528 7.708648e-02
## 7   0.0040798296 0.0079520586 0.018976511 8.581507e-03 0.020607585 7.586557e-02
## 8   0.0040798296 0.0079520586 0.018976511 8.581507e-03 0.020607585 7.586557e-02
## 9   0.0076726277 0.0158855638 0.012362870 1.950940e-02 0.006512313 4.389882e-03
## 10  0.0076726277 0.0158855638 0.012362870 1.950940e-02 0.006512313 4.389882e-03
## 11  0.0076726277 0.0158855638 0.012362870 1.950940e-02 0.006512313 4.389882e-03
## 12  0.0076726277 0.0158855638 0.012362870 1.950940e-02 0.006512313 4.389882e-03
## 13  0.0172721667 0.0118959247 0.023895450 6.203828e-03 0.028214085 4.278555e-02
## 14  0.0172721667 0.0118959247 0.023895450 6.203828e-03 0.028214085 4.278555e-02
## 15  0.0172721667 0.0118959247 0.023895450 6.203828e-03 0.028214085 4.278555e-02
## 16  0.0172721667 0.0118959247 0.023895450 6.203828e-03 0.028214085 4.278555e-02
## 17  0.0172721667 0.0118959247 0.023895450 6.203828e-03 0.028214085 4.278555e-02
## 18  0.0172721667 0.0118959247 0.023895450 6.203828e-03 0.028214085 4.278555e-02
## 19  0.0343236498 0.0597383326 0.020321324 7.907545e-02 0.021449192 1.699150e-02
## 20  0.0343236498 0.0597383326 0.020321324 7.907545e-02 0.021449192 1.699150e-02
## 21  0.0343236498 0.0597383326 0.020321324 7.907545e-02 0.021449192 1.699150e-02
## 22  0.0343236498 0.0597383326 0.020321324 7.907545e-02 0.021449192 1.699150e-02
## 23  0.0343236498 0.0597383326 0.020321324 7.907545e-02 0.021449192 1.699150e-02
## 24  0.0360462465 0.0053442788 0.075234409 5.966873e-05 0.094505979 1.126200e-02
## 25  0.0360462465 0.0053442788 0.075234409 5.966873e-05 0.094505979 1.126200e-02
## 26  0.0140337643 0.0037517693 0.006493289 7.677122e-03 0.002759626 4.340607e-03
## 27  0.0140337643 0.0037517693 0.006493289 7.677122e-03 0.002759626 4.340607e-03
## 28  0.0140337643 0.0037517693 0.006493289 7.677122e-03 0.002759626 4.340607e-03
## 29  0.0005234777 0.0039353903 0.003717582 1.750476e-03 0.030522657 2.406493e-02
## 30  0.0005234777 0.0039353903 0.003717582 1.750476e-03 0.030522657 2.406493e-02
## 31  0.0005234777 0.0039353903 0.003717582 1.750476e-03 0.030522657 2.406493e-02
## 32  0.0005234777 0.0039353903 0.003717582 1.750476e-03 0.030522657 2.406493e-02
## 33  0.0005234777 0.0039353903 0.003717582 1.750476e-03 0.030522657 2.406493e-02
## 34  0.0368240813 0.0309398543 0.005932253 4.358162e-02 0.054594542 2.352817e-03
## 35  0.0368240813 0.0309398543 0.005932253 4.358162e-02 0.054594542 2.352817e-03
## 36  0.0013428904 0.0014618584 0.001338168 7.010304e-03 0.148643157 1.667539e-01
## 37  0.0013428904 0.0014618584 0.001338168 7.010304e-03 0.148643157 1.667539e-01
## 38  0.0013428904 0.0014618584 0.001338168 7.010304e-03 0.148643157 1.667539e-01
## 39  0.0013428904 0.0014618584 0.001338168 7.010304e-03 0.148643157 1.667539e-01
## 40  0.0013428904 0.0014618584 0.001338168 7.010304e-03 0.148643157 1.667539e-01
## 41  0.0013428904 0.0014618584 0.001338168 7.010304e-03 0.148643157 1.667539e-01
## 42  0.0809400624 0.0645115682 0.032269597 1.457513e-02 0.008460804 2.166304e-02
## 43  0.0809400624 0.0645115682 0.032269597 1.457513e-02 0.008460804 2.166304e-02
## 44  0.0809400624 0.0645115682 0.032269597 1.457513e-02 0.008460804 2.166304e-02
## 45  0.0809400624 0.0645115682 0.032269597 1.457513e-02 0.008460804 2.166304e-02
## 46  0.0809400624 0.0645115682 0.032269597 1.457513e-02 0.008460804 2.166304e-02
## 47  0.0913648760 0.0559904997 0.097467493 3.203180e-02 0.002628444 3.939376e-03
## 48  0.0039157804 0.0064603024 0.002819315 7.126189e-03 0.035503137 1.528196e-01
## 49  0.0039157804 0.0064603024 0.002819315 7.126189e-03 0.035503137 1.528196e-01
## 50  0.0039157804 0.0064603024 0.002819315 7.126189e-03 0.035503137 1.528196e-01
## 51  0.0039157804 0.0064603024 0.002819315 7.126189e-03 0.035503137 1.528196e-01
## 52  0.0039157804 0.0064603024 0.002819315 7.126189e-03 0.035503137 1.528196e-01
## 53  0.0039157804 0.0064603024 0.002819315 7.126189e-03 0.035503137 1.528196e-01
## 54  0.0625807072 0.0000567628 0.038893608 4.119933e-02 0.040620264 1.188386e-02
## 55  0.0625807072 0.0000567628 0.038893608 4.119933e-02 0.040620264 1.188386e-02
## 56  0.0625807072 0.0000567628 0.038893608 4.119933e-02 0.040620264 1.188386e-02
## 57  0.0677809893 0.0659438211 0.062542723 3.156408e-02 0.100048656 6.543025e-02
## 58  0.0677809893 0.0659438211 0.062542723 3.156408e-02 0.100048656 6.543025e-02
## 59  0.0677809893 0.0659438211 0.062542723 3.156408e-02 0.100048656 6.543025e-02
## 60  0.0677809893 0.0659438211 0.062542723 3.156408e-02 0.100048656 6.543025e-02
## 61  0.0677809893 0.0659438211 0.062542723 3.156408e-02 0.100048656 6.543025e-02
## 62  0.0677809893 0.0659438211 0.062542723 3.156408e-02 0.100048656 6.543025e-02
## 63  0.0251081292 0.0180559293 0.006490771 5.611906e-03 0.004506801 5.170183e-03
## 64  0.0251081292 0.0180559293 0.006490771 5.611906e-03 0.004506801 5.170183e-03
## 65  0.0251081292 0.0180559293 0.006490771 5.611906e-03 0.004506801 5.170183e-03
## 66  0.0041678765 0.0967280293 0.026015199 2.901351e-02 0.044732522 7.019681e-02
## 67  0.0041678765 0.0967280293 0.026015199 2.901351e-02 0.044732522 7.019681e-02
## 68  0.0130030922 0.0206190903 0.015708329 3.204769e-02 0.111793632 2.432738e-01
## 69  0.0130030922 0.0206190903 0.015708329 3.204769e-02 0.111793632 2.432738e-01
## 70  0.0155829868 0.0309579870 0.023020184 1.029896e-02 0.019884545 1.786482e-02
## 71  0.0155829868 0.0309579870 0.023020184 1.029896e-02 0.019884545 1.786482e-02
## 72  0.0155829868 0.0309579870 0.023020184 1.029896e-02 0.019884545 1.786482e-02
## 73  0.0155829868 0.0309579870 0.023020184 1.029896e-02 0.019884545 1.786482e-02
## 74  0.0108510472 0.0240019044 0.083571347 9.412877e-03 0.092798590 2.206460e-02
## 75  0.0108510472 0.0240019044 0.083571347 9.412877e-03 0.092798590 2.206460e-02
## 76  0.0918180399 0.0201622523 0.061219825 3.953867e-03 0.035871360 7.427506e-02
## 77  0.1164139517 0.0065465869 0.056395588 2.680378e-01 0.051033733 2.018044e-03
## 78  0.1164139517 0.0065465869 0.056395588 2.680378e-01 0.051033733 2.018044e-03
## 79  0.1164139517 0.0065465869 0.056395588 2.680378e-01 0.051033733 2.018044e-03
## 80  0.1164139517 0.0065465869 0.056395588 2.680378e-01 0.051033733 2.018044e-03
## 81  0.1164139517 0.0065465869 0.056395588 2.680378e-01 0.051033733 2.018044e-03
## 82  0.0112256018 0.0298083560 0.019788035 6.879741e-02 0.021395310 8.132016e-02
## 83  0.0112256018 0.0298083560 0.019788035 6.879741e-02 0.021395310 8.132016e-02
## 84  0.0112256018 0.0298083560 0.019788035 6.879741e-02 0.021395310 8.132016e-02
## 85  0.0112256018 0.0298083560 0.019788035 6.879741e-02 0.021395310 8.132016e-02
## 86  0.0030463987 0.0545450147 0.014726266 4.637817e-02 0.031008072 2.598278e-02
## 87  0.0059346442 0.0051619987 0.008297423 6.295311e-03 0.257678003 8.697561e-02
## 88  0.0059346442 0.0051619987 0.008297423 6.295311e-03 0.257678003 8.697561e-02
## 89  0.0236739357 0.1750369816 0.100710650 4.489227e-02 0.026337478 3.679504e-02
## 90  0.0236739357 0.1750369816 0.100710650 4.489227e-02 0.026337478 3.679504e-02
## 91  0.1123052570 0.1184297164 0.041733475 8.075641e-02 0.010119286 5.597944e-03
## 92  0.1123052570 0.1184297164 0.041733475 8.075641e-02 0.010119286 5.597944e-03
## 93  0.1123052570 0.1184297164 0.041733475 8.075641e-02 0.010119286 5.597944e-03
## 94  0.0353884834 0.0190731081 0.066166624 4.779077e-02 0.004522931 6.848060e-03
## 95  0.0353884834 0.0190731081 0.066166624 4.779077e-02 0.004522931 6.848060e-03
## 96  0.0353884834 0.0190731081 0.066166624 4.779077e-02 0.004522931 6.848060e-03
## 97  0.0353884834 0.0190731081 0.066166624 4.779077e-02 0.004522931 6.848060e-03
## 98  0.1017830572 0.0949125255 0.049927771 4.726691e-02 0.072753562 1.159404e-01
## 99  0.1017830572 0.0949125255 0.049927771 4.726691e-02 0.072753562 1.159404e-01
## 100 0.1017830572 0.0949125255 0.049927771 4.726691e-02 0.072753562 1.159404e-01
## 101 0.1017830572 0.0949125255 0.049927771 4.726691e-02 0.072753562 1.159404e-01
## 102 0.0263574151 0.0340765958 0.074345509 3.780148e-02 0.045840036 4.416925e-03
## 103 0.0145839050 0.0549462515 0.232414109 9.955188e-02 0.090249571 1.038668e-01
## 104 0.0145839050 0.0549462515 0.232414109 9.955188e-02 0.090249571 1.038668e-01
## 105 0.0145839050 0.0549462515 0.232414109 9.955188e-02 0.090249571 1.038668e-01
## 106 0.0275379797 0.0297303749 0.121603426 6.770847e-02 0.012228904 6.134384e-03
## 107 0.0275379797 0.0297303749 0.121603426 6.770847e-02 0.012228904 6.134384e-03
## 108 0.0275379797 0.0297303749 0.121603426 6.770847e-02 0.012228904 6.134384e-03
## 109 0.0197345525 0.0135432550 0.036785455 5.774854e-02 0.005831688 1.394580e-02
## 110 0.0197345525 0.0135432550 0.036785455 5.774854e-02 0.005831688 1.394580e-02
## 111 0.0197345525 0.0135432550 0.036785455 5.774854e-02 0.005831688 1.394580e-02
## 112 0.0197345525 0.0135432550 0.036785455 5.774854e-02 0.005831688 1.394580e-02
## 113 0.0197345525 0.0135432550 0.036785455 5.774854e-02 0.005831688 1.394580e-02
## 114 0.0637782565 0.0351832727 0.010429566 1.527300e-02 0.073911902 1.868696e-02
## 115 0.0637782565 0.0351832727 0.010429566 1.527300e-02 0.073911902 1.868696e-02
## 116 0.0637782565 0.0351832727 0.010429566 1.527300e-02 0.073911902 1.868696e-02
## 117 0.0637782565 0.0351832727 0.010429566 1.527300e-02 0.073911902 1.868696e-02
## 118 0.0139484133 0.0045121730 0.061198860 1.437702e-02 0.006779422 6.560678e-03
## 119 0.0139484133 0.0045121730 0.061198860 1.437702e-02 0.006779422 6.560678e-03
## 120 0.0139484133 0.0045121730 0.061198860 1.437702e-02 0.006779422 6.560678e-03
## 121 0.0139484133 0.0045121730 0.061198860 1.437702e-02 0.006779422 6.560678e-03
## 122 0.0139484133 0.0045121730 0.061198860 1.437702e-02 0.006779422 6.560678e-03
## 123 0.0567289347 0.0080769381 0.003888326 5.392911e-02 0.167944953 1.626135e-01
## 124 0.0333921419 0.0404028189 0.001623412 1.501084e-02 0.003199632 4.209695e-03
## 125 0.0333921419 0.0404028189 0.001623412 1.501084e-02 0.003199632 4.209695e-03
## 126 0.0333921419 0.0404028189 0.001623412 1.501084e-02 0.003199632 4.209695e-03
## 127 0.0333921419 0.0404028189 0.001623412 1.501084e-02 0.003199632 4.209695e-03
## 128 0.0333921419 0.0404028189 0.001623412 1.501084e-02 0.003199632 4.209695e-03
## 129 0.0574519248 0.0209104888 0.081597103 8.442559e-02 0.020232958 2.046533e-02
## 130 0.0091766816 0.0158762899 0.010887256 1.338971e-02 0.040436352 3.889847e-02
## 131 0.0091766816 0.0158762899 0.010887256 1.338971e-02 0.040436352 3.889847e-02
## 132 0.0091766816 0.0158762899 0.010887256 1.338971e-02 0.040436352 3.889847e-02
## 133 0.0091766816 0.0158762899 0.010887256 1.338971e-02 0.040436352 3.889847e-02
## 134 0.0091766816 0.0158762899 0.010887256 1.338971e-02 0.040436352 3.889847e-02
## 135 0.0174690924 0.0167959239 0.028196596 3.893758e-02 0.011427010 1.172303e-02
## 136 0.0174690924 0.0167959239 0.028196596 3.893758e-02 0.011427010 1.172303e-02
## 137 0.0174690924 0.0167959239 0.028196596 3.893758e-02 0.011427010 1.172303e-02
## 138 0.0120645288 0.1296550301 0.037196883 1.231201e-01 0.031711836 1.717877e-02
## 139 0.0497174105 0.0831893083 0.100599613 2.615460e-02 0.013290156 1.389059e-02
## 140 0.0497174105 0.0831893083 0.100599613 2.615460e-02 0.013290156 1.389059e-02
## 141 0.0837337637 0.0414723856 0.020975443 2.020669e-02 0.074581411 2.377582e-02
## 142 0.0837337637 0.0414723856 0.020975443 2.020669e-02 0.074581411 2.377582e-02
## 143 0.0131831624 0.0356511494 0.020436406 3.285280e-02 0.009433806 4.857883e-03
## 144 0.0131831624 0.0356511494 0.020436406 3.285280e-02 0.009433806 4.857883e-03
## 145 0.0131831624 0.0356511494 0.020436406 3.285280e-02 0.009433806 4.857883e-03
## 146 0.0880905610 0.0550901654 0.100494676 5.711581e-02 0.002807230 2.533012e-03
## 147 0.0443814577 0.0922043026 0.144390781 8.019937e-02 0.004116962 1.033936e-02
## 148 0.0443814577 0.0922043026 0.144390781 8.019937e-02 0.004116962 1.033936e-02
## 149 0.0443814577 0.0922043026 0.144390781 8.019937e-02 0.004116962 1.033936e-02
## 150 0.0443814577 0.0922043026 0.144390781 8.019937e-02 0.004116962 1.033936e-02
## 151 0.0453288927 0.0194591824 0.009716349 1.840005e-02 0.085288902 2.194918e-02
## 152 0.0453288927 0.0194591824 0.009716349 1.840005e-02 0.085288902 2.194918e-02
## 153 0.0453288927 0.0194591824 0.009716349 1.840005e-02 0.085288902 2.194918e-02
## 154 0.0453288927 0.0194591824 0.009716349 1.840005e-02 0.085288902 2.194918e-02
## 155 0.0883010508 0.0492123794 0.012853034 1.836216e-02 0.051366539 8.001357e-02
## 156 0.0387574559 0.0800909954 0.080700135 4.082416e-02 0.000543499 7.996184e-03
## 157 0.0387574559 0.0800909954 0.080700135 4.082416e-02 0.000543499 7.996184e-03
## 158 0.0387574559 0.0800909954 0.080700135 4.082416e-02 0.000543499 7.996184e-03
## 159 0.0387574559 0.0800909954 0.080700135 4.082416e-02 0.000543499 7.996184e-03
## 160 0.0387574559 0.0800909954 0.080700135 4.082416e-02 0.000543499 7.996184e-03
## 161 0.0387574559 0.0800909954 0.080700135 4.082416e-02 0.000543499 7.996184e-03
## 162 0.0052212549 0.0025122499 0.006484314 8.627715e-03 0.005502616 1.258160e-03
## 163 0.0052212549 0.0025122499 0.006484314 8.627715e-03 0.005502616 1.258160e-03
## 164 0.0007902179 0.0083538920 0.004612756 1.562998e-02 0.008910324 1.532047e-02
## 165 0.0007902179 0.0083538920 0.004612756 1.562998e-02 0.008910324 1.532047e-02
## 166 0.0066034625 0.0083217772 0.001113359 1.230307e-02 0.003336484 4.090262e-03
## 167 0.0066034625 0.0083217772 0.001113359 1.230307e-02 0.003336484 4.090262e-03
## 168 0.0066034625 0.0083217772 0.001113359 1.230307e-02 0.003336484 4.090262e-03
## 169 0.0066034625 0.0083217772 0.001113359 1.230307e-02 0.003336484 4.090262e-03
## 170 0.0066034625 0.0083217772 0.001113359 1.230307e-02 0.003336484 4.090262e-03
## 171 0.0066034625 0.0083217772 0.001113359 1.230307e-02 0.003336484 4.090262e-03
## 172 0.1235430062 0.1458212714 0.019838255 1.559268e-02 0.021992780 4.678030e-02
## 173 0.1235430062 0.1458212714 0.019838255 1.559268e-02 0.021992780 4.678030e-02
## 174 0.1235430062 0.1458212714 0.019838255 1.559268e-02 0.021992780 4.678030e-02
## 175 0.0082873982 0.0682686543 0.066343191 4.847861e-02 0.021013030 4.272111e-02
## 176 0.0082873982 0.0682686543 0.066343191 4.847861e-02 0.021013030 4.272111e-02
## 177 0.0082873982 0.0682686543 0.066343191 4.847861e-02 0.021013030 4.272111e-02
## 178 0.0133378121 0.0088929559 0.015796895 4.782251e-02 0.029259467 1.211582e-02
## 179 0.0133378121 0.0088929559 0.015796895 4.782251e-02 0.029259467 1.211582e-02
## 180 0.0396467091 0.0607775964 0.206481611 1.603643e-01 0.006724413 7.905064e-03
## 181 0.0396467091 0.0607775964 0.206481611 1.603643e-01 0.006724413 7.905064e-03
## 182 0.0817590774 0.0237134890 0.063171289 5.380235e-02 0.040390223 3.065439e-03
## 183 0.0817590774 0.0237134890 0.063171289 5.380235e-02 0.040390223 3.065439e-03
## 184 0.0200843183 0.0095945229 0.016996059 4.319726e-02 0.013357442 1.954445e-02
## 185 0.0200843183 0.0095945229 0.016996059 4.319726e-02 0.013357442 1.954445e-02
## 186 0.2208668344 0.0493067561 0.058254907 1.033147e-01 0.001284845 2.051042e-03
## 187 0.2208668344 0.0493067561 0.058254907 1.033147e-01 0.001284845 2.051042e-03
## 188 0.2208668344 0.0493067561 0.058254907 1.033147e-01 0.001284845 2.051042e-03
## 189 0.2208668344 0.0493067561 0.058254907 1.033147e-01 0.001284845 2.051042e-03
## 190 0.2208668344 0.0493067561 0.058254907 1.033147e-01 0.001284845 2.051042e-03
## 191 0.2208668344 0.0493067561 0.058254907 1.033147e-01 0.001284845 2.051042e-03
## 192 0.0583725707 0.0443527822 0.012065411 8.422960e-02 0.105707795 6.016240e-02
## 193 0.0583725707 0.0443527822 0.012065411 8.422960e-02 0.105707795 6.016240e-02
## 194 0.0583725707 0.0443527822 0.012065411 8.422960e-02 0.105707795 6.016240e-02
## 195 0.0583725707 0.0443527822 0.012065411 8.422960e-02 0.105707795 6.016240e-02
## 196 0.0583725707 0.0443527822 0.012065411 8.422960e-02 0.105707795 6.016240e-02
## 197 0.0201488952 0.0068336308 0.001367893 1.076136e-02 0.060806855 5.764037e-03
## 198 0.0201488952 0.0068336308 0.001367893 1.076136e-02 0.060806855 5.764037e-03
## 199 0.0185522485 0.0159218666 0.016778572 3.011087e-03 0.063461721 7.969093e-05
## 200 0.0185522485 0.0159218666 0.016778572 3.011087e-03 0.063461721 7.969093e-05
## 201 0.0185522485 0.0159218666 0.016778572 3.011087e-03 0.063461721 7.969093e-05
## 202 0.0185522485 0.0159218666 0.016778572 3.011087e-03 0.063461721 7.969093e-05
## 203 0.0072825188 0.0461737290 0.018682627 2.085850e-02 0.006423264 4.299990e-02
## 204 0.0072825188 0.0461737290 0.018682627 2.085850e-02 0.006423264 4.299990e-02
## 205 0.0072825188 0.0461737290 0.018682627 2.085850e-02 0.006423264 4.299990e-02
## 206 0.0072825188 0.0461737290 0.018682627 2.085850e-02 0.006423264 4.299990e-02
## 207 0.0023006211 0.0204219619 0.008984489 2.845831e-03 0.042463458 4.017863e-02
## 208 0.0023006211 0.0204219619 0.008984489 2.845831e-03 0.042463458 4.017863e-02
## 209 0.0026180813 0.0103817368 0.017316780 7.147194e-03 0.073136909 3.529952e-02
## 210 0.0056781065 0.0382771645 0.010925930 2.115990e-02 0.010780906 1.331566e-03
## 211 0.0056781065 0.0382771645 0.010925930 2.115990e-02 0.010780906 1.331566e-03
## 212 0.0056781065 0.0382771645 0.010925930 2.115990e-02 0.010780906 1.331566e-03
## 213 0.0095366931 0.0115593228 0.040696709 9.464103e-03 0.014278058 3.551804e-03
## 214 0.0095366931 0.0115593228 0.040696709 9.464103e-03 0.014278058 3.551804e-03
## 215 0.0095366931 0.0115593228 0.040696709 9.464103e-03 0.014278058 3.551804e-03
## 216 0.0095366931 0.0115593228 0.040696709 9.464103e-03 0.014278058 3.551804e-03
## 217 0.0043537671 0.0084085894 0.007529355 1.020895e-03 0.009910862 1.073994e-02
## 218 0.0043537671 0.0084085894 0.007529355 1.020895e-03 0.009910862 1.073994e-02
## 219 0.0043537671 0.0084085894 0.007529355 1.020895e-03 0.009910862 1.073994e-02
## 220 0.0013200774 0.0009623663 0.001873638 1.093575e-02 0.067686658 6.484729e-02
## 221 0.0013200774 0.0009623663 0.001873638 1.093575e-02 0.067686658 6.484729e-02
## 222 0.0013200774 0.0009623663 0.001873638 1.093575e-02 0.067686658 6.484729e-02
## 223 0.0013200774 0.0009623663 0.001873638 1.093575e-02 0.067686658 6.484729e-02
## 224 0.0013200774 0.0009623663 0.001873638 1.093575e-02 0.067686658 6.484729e-02
## 225 0.0280464012 0.0008078966 0.013898883 2.561586e-01 0.038152237 1.922930e-02
## 226 0.0280464012 0.0008078966 0.013898883 2.561586e-01 0.038152237 1.922930e-02
## 227 0.0104620505 0.0010533943 0.004797934 1.216811e-02 0.047084484 4.026721e-02
## 228 0.0104620505 0.0010533943 0.004797934 1.216811e-02 0.047084484 4.026721e-02
## 229 0.0104620505 0.0010533943 0.004797934 1.216811e-02 0.047084484 4.026721e-02
## 230 0.0104620505 0.0010533943 0.004797934 1.216811e-02 0.047084484 4.026721e-02
## 231 0.0187962308 0.0105034527 0.038355883 1.472583e-02 0.020056504 3.574741e-03
## 232 0.0187962308 0.0105034527 0.038355883 1.472583e-02 0.020056504 3.574741e-03
## 233 0.0187962308 0.0105034527 0.038355883 1.472583e-02 0.020056504 3.574741e-03
## 234 0.0187962308 0.0105034527 0.038355883 1.472583e-02 0.020056504 3.574741e-03
## 235 0.0919850304 0.0282910543 0.014376405 2.840333e-02 0.014565990 1.743678e-02
## 236 0.0919850304 0.0282910543 0.014376405 2.840333e-02 0.014565990 1.743678e-02
## 237 0.0919850304 0.0282910543 0.014376405 2.840333e-02 0.014565990 1.743678e-02
## 238 0.0294316040 0.0138578465 0.019545614 1.335833e-02 0.011342368 9.690994e-03
## 239 0.0294316040 0.0138578465 0.019545614 1.335833e-02 0.011342368 9.690994e-03
## 240 0.0294316040 0.0138578465 0.019545614 1.335833e-02 0.011342368 9.690994e-03
## 241 0.0009929053 0.0005723082 0.001348982 1.105273e-03 0.189291938 5.074523e-02
## 242 0.0103704041 0.0052593693 0.031857936 3.255164e-02 0.004047420 4.638932e-02
## 243 0.0103704041 0.0052593693 0.031857936 3.255164e-02 0.004047420 4.638932e-02
## 244 0.0103704041 0.0052593693 0.031857936 3.255164e-02 0.004047420 4.638932e-02
## 245 0.0103704041 0.0052593693 0.031857936 3.255164e-02 0.004047420 4.638932e-02
## 246 0.0103704041 0.0052593693 0.031857936 3.255164e-02 0.004047420 4.638932e-02
## 247 0.0703811778 0.0221981841 0.061323492 1.272831e-01 0.022737789 2.178512e-02
## 248 0.0703811778 0.0221981841 0.061323492 1.272831e-01 0.022737789 2.178512e-02
## 249 0.0703811778 0.0221981841 0.061323492 1.272831e-01 0.022737789 2.178512e-02
## 250 0.0009350882 0.0063463210 0.002891092 1.880720e-03 0.007356592 3.411266e-03
## 251 0.0009350882 0.0063463210 0.002891092 1.880720e-03 0.007356592 3.411266e-03
## 252 0.0009350882 0.0063463210 0.002891092 1.880720e-03 0.007356592 3.411266e-03
## 253 0.0009350882 0.0063463210 0.002891092 1.880720e-03 0.007356592 3.411266e-03
## 254 0.0096676661 0.0195380710 0.011278597 1.600913e-02 0.103795887 1.612318e-02
## 255 0.0039797502 0.0015814115 0.000297426 2.682258e-03 0.020225791 3.537293e-02
## 256 0.0039797502 0.0015814115 0.000297426 2.682258e-03 0.020225791 3.537293e-02
## 257 0.0039797502 0.0015814115 0.000297426 2.682258e-03 0.020225791 3.537293e-02
## 258 0.0039797502 0.0015814115 0.000297426 2.682258e-03 0.020225791 3.537293e-02
## 259 0.0039797502 0.0015814115 0.000297426 2.682258e-03 0.020225791 3.537293e-02
## 260 0.0164981637 0.0044400883 0.009637963 6.833658e-03 0.012954836 2.267827e-02
## 261 0.0164981637 0.0044400883 0.009637963 6.833658e-03 0.012954836 2.267827e-02
## 262 0.0098244200 0.0092334217 0.021345036 1.895826e-03 0.001544401 7.351538e-04
## 263 0.0062672802 0.0311440892 0.050813602 3.610160e-02 0.047210063 4.287143e-02
## 264 0.0062672802 0.0311440892 0.050813602 3.610160e-02 0.047210063 4.287143e-02
## 265 0.0062672802 0.0311440892 0.050813602 3.610160e-02 0.047210063 4.287143e-02
## 266 0.0421320768 0.0404445572 0.044437055 1.718702e-02 0.065990324 1.998062e-02
## 267 0.0421320768 0.0404445572 0.044437055 1.718702e-02 0.065990324 1.998062e-02
## 268 0.0421320768 0.0404445572 0.044437055 1.718702e-02 0.065990324 1.998062e-02
## 269 0.0421320768 0.0404445572 0.044437055 1.718702e-02 0.065990324 1.998062e-02
## 270 0.0421320768 0.0404445572 0.044437055 1.718702e-02 0.065990324 1.998062e-02
## 271 0.0421320768 0.0404445572 0.044437055 1.718702e-02 0.065990324 1.998062e-02
## 272 0.0293074183 0.0138591292 0.050849473 1.783339e-02 0.021232166 1.074281e-01
## 273 0.0293074183 0.0138591292 0.050849473 1.783339e-02 0.021232166 1.074281e-01
## 274 0.0126992441 0.0182902316 0.007103675 4.950981e-02 0.138303263 7.527578e-02
## 275 0.0126992441 0.0182902316 0.007103675 4.950981e-02 0.138303263 7.527578e-02
## 276 0.0126992441 0.0182902316 0.007103675 4.950981e-02 0.138303263 7.527578e-02
## 277 0.0182400411 0.0033538159 0.007092026 8.124803e-03 0.023396541 8.101307e-02
## 278 0.0182400411 0.0033538159 0.007092026 8.124803e-03 0.023396541 8.101307e-02
## 279 0.0182400411 0.0033538159 0.007092026 8.124803e-03 0.023396541 8.101307e-02
## 280 0.0182400411 0.0033538159 0.007092026 8.124803e-03 0.023396541 8.101307e-02
## 281 0.0182400411 0.0033538159 0.007092026 8.124803e-03 0.023396541 8.101307e-02
## 282 0.1001039444 0.1143130590 0.023796679 1.643779e-01 0.023606931 1.966041e-02
## 283 0.1001039444 0.1143130590 0.023796679 1.643779e-01 0.023606931 1.966041e-02
## 284 0.1001039444 0.1143130590 0.023796679 1.643779e-01 0.023606931 1.966041e-02
## 285 0.1001039444 0.1143130590 0.023796679 1.643779e-01 0.023606931 1.966041e-02
## 286 0.1001039444 0.1143130590 0.023796679 1.643779e-01 0.023606931 1.966041e-02
## 287 0.0857009319 0.0221878182 0.037783771 3.875800e-02 0.050438484 1.085865e-03
## 288 0.0857009319 0.0221878182 0.037783771 3.875800e-02 0.050438484 1.085865e-03
## 289 0.0447150347 0.0064723870 0.010019007 1.607964e-02 0.019049244 1.723120e-02
## 290 0.0447150347 0.0064723870 0.010019007 1.607964e-02 0.019049244 1.723120e-02
## 291 0.0447150347 0.0064723870 0.010019007 1.607964e-02 0.019049244 1.723120e-02
## 292 0.0447150347 0.0064723870 0.010019007 1.607964e-02 0.019049244 1.723120e-02
## 293 0.0447150347 0.0064723870 0.010019007 1.607964e-02 0.019049244 1.723120e-02
## 294 0.0447150347 0.0064723870 0.010019007 1.607964e-02 0.019049244 1.723120e-02
## 295 0.0547615496 0.1143353852 0.045839696 1.336731e-02 0.007772805 3.862116e-03
## 296 0.0547615496 0.1143353852 0.045839696 1.336731e-02 0.007772805 3.862116e-03
## 297 0.0547615496 0.1143353852 0.045839696 1.336731e-02 0.007772805 3.862116e-03
## 298 0.0510195627 0.0512574180 0.107942493 3.875533e-02 0.018684010 2.043458e-02
## 299 0.0510195627 0.0512574180 0.107942493 3.875533e-02 0.018684010 2.043458e-02
## 300 0.0510195627 0.0512574180 0.107942493 3.875533e-02 0.018684010 2.043458e-02
## 301 0.0361657145 0.0353433069 0.045247341 5.576294e-03 0.068962982 2.529177e-02
## 302 0.0361657145 0.0353433069 0.045247341 5.576294e-03 0.068962982 2.529177e-02
## 303 0.0297115338 0.0071574151 0.003992711 4.638426e-02 0.115127794 1.146392e-02
## 304 0.0297115338 0.0071574151 0.003992711 4.638426e-02 0.115127794 1.146392e-02
## 305 0.0297115338 0.0071574151 0.003992711 4.638426e-02 0.115127794 1.146392e-02
## 306 0.0297115338 0.0071574151 0.003992711 4.638426e-02 0.115127794 1.146392e-02
## 307 0.0297115338 0.0071574151 0.003992711 4.638426e-02 0.115127794 1.146392e-02
## 308 0.0075441559 0.0114149024 0.037270382 6.385090e-02 0.090244818 5.003924e-02
## 309 0.0075441559 0.0114149024 0.037270382 6.385090e-02 0.090244818 5.003924e-02
## 310 0.0075441559 0.0114149024 0.037270382 6.385090e-02 0.090244818 5.003924e-02
## 311 0.0061132795 0.0339185839 0.025446051 1.066712e-02 0.006943498 2.706091e-02
## 312 0.0061132795 0.0339185839 0.025446051 1.066712e-02 0.006943498 2.706091e-02
## 313 0.0061132795 0.0339185839 0.025446051 1.066712e-02 0.006943498 2.706091e-02
## 314 0.0061132795 0.0339185839 0.025446051 1.066712e-02 0.006943498 2.706091e-02
## 315 0.0061132795 0.0339185839 0.025446051 1.066712e-02 0.006943498 2.706091e-02
## 316 0.0061132795 0.0339185839 0.025446051 1.066712e-02 0.006943498 2.706091e-02
## 317 0.0370106665 0.0341893442 0.024762917 4.288248e-03 0.047297435 1.936900e-01
## 318 0.0370106665 0.0341893442 0.024762917 4.288248e-03 0.047297435 1.936900e-01
## 319 0.0370106665 0.0341893442 0.024762917 4.288248e-03 0.047297435 1.936900e-01
## 320 0.0911731324 0.1346098554 0.087709374 1.704258e-02 0.004143490 2.138789e-02
## 321 0.0911731324 0.1346098554 0.087709374 1.704258e-02 0.004143490 2.138789e-02
## 322 0.0911731324 0.1346098554 0.087709374 1.704258e-02 0.004143490 2.138789e-02
## 323 0.0911731324 0.1346098554 0.087709374 1.704258e-02 0.004143490 2.138789e-02
## 324 0.0217186027 0.0104273797 0.018321920 9.105918e-03 0.053215420 3.515628e-02
## 325 0.0217186027 0.0104273797 0.018321920 9.105918e-03 0.053215420 3.515628e-02
## 326 0.0217186027 0.0104273797 0.018321920 9.105918e-03 0.053215420 3.515628e-02
## 327 0.0217186027 0.0104273797 0.018321920 9.105918e-03 0.053215420 3.515628e-02
## 328 0.0217186027 0.0104273797 0.018321920 9.105918e-03 0.053215420 3.515628e-02
##             W_E3        W_E4         W_S1         W_S2        W_S3         W_S4
## 1   1.014641e-01 0.040491446 0.0047115526 0.0071465714 0.002714608 0.0132805038
## 2   1.967053e-01 0.080122766 0.0174882882 0.0277535344 0.026976563 0.0140633829
## 3   1.967053e-01 0.080122766 0.0174882882 0.0277535344 0.026976563 0.0140633829
## 4   1.967053e-01 0.080122766 0.0174882882 0.0277535344 0.026976563 0.0140633829
## 5   1.967053e-01 0.080122766 0.0174882882 0.0277535344 0.026976563 0.0140633829
## 6   1.967053e-01 0.080122766 0.0174882882 0.0277535344 0.026976563 0.0140633829
## 7   6.366086e-02 0.103719805 0.0388568223 0.0311964576 0.033013438 0.0032164176
## 8   6.366086e-02 0.103719805 0.0388568223 0.0311964576 0.033013438 0.0032164176
## 9   1.529756e-02 0.004325194 0.0359797499 0.0317547911 0.003890364 0.0174357087
## 10  1.529756e-02 0.004325194 0.0359797499 0.0317547911 0.003890364 0.0174357087
## 11  1.529756e-02 0.004325194 0.0359797499 0.0317547911 0.003890364 0.0174357087
## 12  1.529756e-02 0.004325194 0.0359797499 0.0317547911 0.003890364 0.0174357087
## 13  1.950797e-02 0.015380515 0.0068057216 0.0001885888 0.001781435 0.0060938058
## 14  1.950797e-02 0.015380515 0.0068057216 0.0001885888 0.001781435 0.0060938058
## 15  1.950797e-02 0.015380515 0.0068057216 0.0001885888 0.001781435 0.0060938058
## 16  1.950797e-02 0.015380515 0.0068057216 0.0001885888 0.001781435 0.0060938058
## 17  1.950797e-02 0.015380515 0.0068057216 0.0001885888 0.001781435 0.0060938058
## 18  1.950797e-02 0.015380515 0.0068057216 0.0001885888 0.001781435 0.0060938058
## 19  2.304575e-02 0.027485073 0.0124034492 0.0091609126 0.010330106 0.0028304296
## 20  2.304575e-02 0.027485073 0.0124034492 0.0091609126 0.010330106 0.0028304296
## 21  2.304575e-02 0.027485073 0.0124034492 0.0091609126 0.010330106 0.0028304296
## 22  2.304575e-02 0.027485073 0.0124034492 0.0091609126 0.010330106 0.0028304296
## 23  2.304575e-02 0.027485073 0.0124034492 0.0091609126 0.010330106 0.0028304296
## 24  5.658296e-02 0.058967558 0.0207079838 0.0204143322 0.026354073 0.0101182315
## 25  5.658296e-02 0.058967558 0.0207079838 0.0204143322 0.026354073 0.0101182315
## 26  1.064629e-03 0.003608363 0.0165611925 0.0106099840 0.006319846 0.0318807706
## 27  1.064629e-03 0.003608363 0.0165611925 0.0106099840 0.006319846 0.0318807706
## 28  1.064629e-03 0.003608363 0.0165611925 0.0106099840 0.006319846 0.0318807706
## 29  2.695124e-02 0.029545152 0.0444186567 0.0060158677 0.062735892 0.0201315377
## 30  2.695124e-02 0.029545152 0.0444186567 0.0060158677 0.062735892 0.0201315377
## 31  2.695124e-02 0.029545152 0.0444186567 0.0060158677 0.062735892 0.0201315377
## 32  2.695124e-02 0.029545152 0.0444186567 0.0060158677 0.062735892 0.0201315377
## 33  2.695124e-02 0.029545152 0.0444186567 0.0060158677 0.062735892 0.0201315377
## 34  8.099913e-02 0.115523047 0.0014201616 0.0058612121 0.007087046 0.0055853676
## 35  8.099913e-02 0.115523047 0.0014201616 0.0058612121 0.007087046 0.0055853676
## 36  9.939231e-02 0.024054574 0.0013782631 0.0004284839 0.001369505 0.0005549455
## 37  9.939231e-02 0.024054574 0.0013782631 0.0004284839 0.001369505 0.0005549455
## 38  9.939231e-02 0.024054574 0.0013782631 0.0004284839 0.001369505 0.0005549455
## 39  9.939231e-02 0.024054574 0.0013782631 0.0004284839 0.001369505 0.0005549455
## 40  9.939231e-02 0.024054574 0.0013782631 0.0004284839 0.001369505 0.0005549455
## 41  9.939231e-02 0.024054574 0.0013782631 0.0004284839 0.001369505 0.0005549455
## 42  1.504227e-02 0.025881966 0.1126620253 0.0725368972 0.209206917 0.0348116584
## 43  1.504227e-02 0.025881966 0.1126620253 0.0725368972 0.209206917 0.0348116584
## 44  1.504227e-02 0.025881966 0.1126620253 0.0725368972 0.209206917 0.0348116584
## 45  1.504227e-02 0.025881966 0.1126620253 0.0725368972 0.209206917 0.0348116584
## 46  1.504227e-02 0.025881966 0.1126620253 0.0725368972 0.209206917 0.0348116584
## 47  2.023468e-03 0.003781195 0.0298413770 0.0260475489 0.015825330 0.0295249523
## 48  2.317278e-01 0.292292586 0.0010862727 0.0031705776 0.001252897 0.0005268040
## 49  2.317278e-01 0.292292586 0.0010862727 0.0031705776 0.001252897 0.0005268040
## 50  2.317278e-01 0.292292586 0.0010862727 0.0031705776 0.001252897 0.0005268040
## 51  2.317278e-01 0.292292586 0.0010862727 0.0031705776 0.001252897 0.0005268040
## 52  2.317278e-01 0.292292586 0.0010862727 0.0031705776 0.001252897 0.0005268040
## 53  2.317278e-01 0.292292586 0.0010862727 0.0031705776 0.001252897 0.0005268040
## 54  8.539417e-02 0.057468310 0.0854535770 0.1194666742 0.056699791 0.1613605881
## 55  8.539417e-02 0.057468310 0.0854535770 0.1194666742 0.056699791 0.1613605881
## 56  8.539417e-02 0.057468310 0.0854535770 0.1194666742 0.056699791 0.1613605881
## 57  2.375989e-02 0.084374959 0.0069557643 0.0825190381 0.016976020 0.0816218063
## 58  2.375989e-02 0.084374959 0.0069557643 0.0825190381 0.016976020 0.0816218063
## 59  2.375989e-02 0.084374959 0.0069557643 0.0825190381 0.016976020 0.0816218063
## 60  2.375989e-02 0.084374959 0.0069557643 0.0825190381 0.016976020 0.0816218063
## 61  2.375989e-02 0.084374959 0.0069557643 0.0825190381 0.016976020 0.0816218063
## 62  2.375989e-02 0.084374959 0.0069557643 0.0825190381 0.016976020 0.0816218063
## 63  4.709527e-03 0.003045407 0.0636333612 0.0484688077 0.087143223 0.0548419282
## 64  4.709527e-03 0.003045407 0.0636333612 0.0484688077 0.087143223 0.0548419282
## 65  4.709527e-03 0.003045407 0.0636333612 0.0484688077 0.087143223 0.0548419282
## 66  7.458195e-02 0.021371431 0.0134780514 0.0238438864 0.013442306 0.0078613999
## 67  7.458195e-02 0.021371431 0.0134780514 0.0238438864 0.013442306 0.0078613999
## 68  1.376201e-01 0.078906088 0.0016688808 0.0004767352 0.005769328 0.0038691961
## 69  1.376201e-01 0.078906088 0.0016688808 0.0004767352 0.005769328 0.0038691961
## 70  3.444711e-02 0.053559280 0.0330155733 0.0358204598 0.073230512 0.0538500830
## 71  3.444711e-02 0.053559280 0.0330155733 0.0358204598 0.073230512 0.0538500830
## 72  3.444711e-02 0.053559280 0.0330155733 0.0358204598 0.073230512 0.0538500830
## 73  3.444711e-02 0.053559280 0.0330155733 0.0358204598 0.073230512 0.0538500830
## 74  8.166399e-02 0.010892973 0.0563585517 0.0247127642 0.017031477 0.0366644534
## 75  8.166399e-02 0.010892973 0.0563585517 0.0247127642 0.017031477 0.0366644534
## 76  1.420511e-01 0.032094962 0.0227407713 0.0145832750 0.024528985 0.0060421634
## 77  3.489220e-02 0.046850512 0.0128931048 0.0033317819 0.006283207 0.0109053759
## 78  3.489220e-02 0.046850512 0.0128931048 0.0033317819 0.006283207 0.0109053759
## 79  3.489220e-02 0.046850512 0.0128931048 0.0033317819 0.006283207 0.0109053759
## 80  3.489220e-02 0.046850512 0.0128931048 0.0033317819 0.006283207 0.0109053759
## 81  3.489220e-02 0.046850512 0.0128931048 0.0033317819 0.006283207 0.0109053759
## 82  6.199675e-05 0.031937111 0.0013795999 0.0037038252 0.016256215 0.0071509114
## 83  6.199675e-05 0.031937111 0.0013795999 0.0037038252 0.016256215 0.0071509114
## 84  6.199675e-05 0.031937111 0.0013795999 0.0037038252 0.016256215 0.0071509114
## 85  6.199675e-05 0.031937111 0.0013795999 0.0037038252 0.016256215 0.0071509114
## 86  7.481730e-03 0.006114760 0.0290812628 0.0119065529 0.102267464 0.1094121917
## 87  5.963250e-02 0.220936820 0.0041452646 0.0049464926 0.009012087 0.0086772639
## 88  5.963250e-02 0.220936820 0.0041452646 0.0049464926 0.009012087 0.0086772639
## 89  2.076302e-02 0.017228020 0.0099739733 0.0756463870 0.063704570 0.0322721913
## 90  2.076302e-02 0.017228020 0.0099739733 0.0756463870 0.063704570 0.0322721913
## 91  4.423642e-02 0.028267381 0.0051436280 0.0248909497 0.003230573 0.0053232558
## 92  4.423642e-02 0.028267381 0.0051436280 0.0248909497 0.003230573 0.0053232558
## 93  4.423642e-02 0.028267381 0.0051436280 0.0248909497 0.003230573 0.0053232558
## 94  1.617974e-02 0.010153973 0.0198693591 0.0268369981 0.075904056 0.0484227318
## 95  1.617974e-02 0.010153973 0.0198693591 0.0268369981 0.075904056 0.0484227318
## 96  1.617974e-02 0.010153973 0.0198693591 0.0268369981 0.075904056 0.0484227318
## 97  1.617974e-02 0.010153973 0.0198693591 0.0268369981 0.075904056 0.0484227318
## 98  7.277528e-02 0.069912423 0.0048832699 0.0092056332 0.015780752 0.0162968501
## 99  7.277528e-02 0.069912423 0.0048832699 0.0092056332 0.015780752 0.0162968501
## 100 7.277528e-02 0.069912423 0.0048832699 0.0092056332 0.015780752 0.0162968501
## 101 7.277528e-02 0.069912423 0.0048832699 0.0092056332 0.015780752 0.0162968501
## 102 1.587808e-02 0.043903354 0.0078569630 0.0193028876 0.011400202 0.0190447846
## 103 8.423192e-02 0.103060720 0.0277429392 0.0029568408 0.005482146 0.0015404018
## 104 8.423192e-02 0.103060720 0.0277429392 0.0029568408 0.005482146 0.0015404018
## 105 8.423192e-02 0.103060720 0.0277429392 0.0029568408 0.005482146 0.0015404018
## 106 4.106336e-02 0.017302250 0.0509123314 0.0407656651 0.117187161 0.0383358350
## 107 4.106336e-02 0.017302250 0.0509123314 0.0407656651 0.117187161 0.0383358350
## 108 4.106336e-02 0.017302250 0.0509123314 0.0407656651 0.117187161 0.0383358350
## 109 1.323359e-02 0.004099495 0.0331507374 0.0277355104 0.032396967 0.1688727018
## 110 1.323359e-02 0.004099495 0.0331507374 0.0277355104 0.032396967 0.1688727018
## 111 1.323359e-02 0.004099495 0.0331507374 0.0277355104 0.032396967 0.1688727018
## 112 1.323359e-02 0.004099495 0.0331507374 0.0277355104 0.032396967 0.1688727018
## 113 1.323359e-02 0.004099495 0.0331507374 0.0277355104 0.032396967 0.1688727018
## 114 1.602371e-02 0.099751344 0.0033457093 0.0060128298 0.014365963 0.0049097391
## 115 1.602371e-02 0.099751344 0.0033457093 0.0060128298 0.014365963 0.0049097391
## 116 1.602371e-02 0.099751344 0.0033457093 0.0060128298 0.014365963 0.0049097391
## 117 1.602371e-02 0.099751344 0.0033457093 0.0060128298 0.014365963 0.0049097391
## 118 8.568601e-03 0.020742958 0.0351630159 0.0018757075 0.040215191 0.0038489542
## 119 8.568601e-03 0.020742958 0.0351630159 0.0018757075 0.040215191 0.0038489542
## 120 8.568601e-03 0.020742958 0.0351630159 0.0018757075 0.040215191 0.0038489542
## 121 8.568601e-03 0.020742958 0.0351630159 0.0018757075 0.040215191 0.0038489542
## 122 8.568601e-03 0.020742958 0.0351630159 0.0018757075 0.040215191 0.0038489542
## 123 8.399360e-02 0.111723300 0.0154174280 0.0210307082 0.028585615 0.0079587264
## 124 4.578357e-04 0.001742090 0.0050006226 0.0029889904 0.088902862 0.0478545546
## 125 4.578357e-04 0.001742090 0.0050006226 0.0029889904 0.088902862 0.0478545546
## 126 4.578357e-04 0.001742090 0.0050006226 0.0029889904 0.088902862 0.0478545546
## 127 4.578357e-04 0.001742090 0.0050006226 0.0029889904 0.088902862 0.0478545546
## 128 4.578357e-04 0.001742090 0.0050006226 0.0029889904 0.088902862 0.0478545546
## 129 6.079561e-02 0.057169322 0.0089015808 0.0061483646 0.015868935 0.0148434657
## 130 1.365557e-01 0.065202530 0.0177814170 0.0131756151 0.133911654 0.0060528906
## 131 1.365557e-01 0.065202530 0.0177814170 0.0131756151 0.133911654 0.0060528906
## 132 1.365557e-01 0.065202530 0.0177814170 0.0131756151 0.133911654 0.0060528906
## 133 1.365557e-01 0.065202530 0.0177814170 0.0131756151 0.133911654 0.0060528906
## 134 1.365557e-01 0.065202530 0.0177814170 0.0131756151 0.133911654 0.0060528906
## 135 5.378729e-02 0.006463973 0.0034451032 0.0050116822 0.003610533 0.0022321479
## 136 5.378729e-02 0.006463973 0.0034451032 0.0050116822 0.003610533 0.0022321479
## 137 5.378729e-02 0.006463973 0.0034451032 0.0050116822 0.003610533 0.0022321479
## 138 2.463631e-02 0.053308534 0.0256482240 0.0305311426 0.007284847 0.0082321752
## 139 1.203512e-02 0.022814678 0.0315780032 0.0192779727 0.028637383 0.0045944971
## 140 1.203512e-02 0.022814678 0.0315780032 0.0192779727 0.028637383 0.0045944971
## 141 8.860268e-03 0.006113168 0.0273360185 0.0299050980 0.005657296 0.0181876047
## 142 8.860268e-03 0.006113168 0.0273360185 0.0299050980 0.005657296 0.0181876047
## 143 5.231616e-03 0.010524386 0.0200916984 0.0290435283 0.073509239 0.0580091909
## 144 5.231616e-03 0.010524386 0.0200916984 0.0290435283 0.073509239 0.0580091909
## 145 5.231616e-03 0.010524386 0.0200916984 0.0290435283 0.073509239 0.0580091909
## 146 1.245625e-02 0.002515701 0.0073310829 0.0551418417 0.136449060 0.0347666115
## 147 7.401229e-03 0.007353677 0.0058093055 0.0052528760 0.001569073 0.0012403765
## 148 7.401229e-03 0.007353677 0.0058093055 0.0052528760 0.001569073 0.0012403765
## 149 7.401229e-03 0.007353677 0.0058093055 0.0052528760 0.001569073 0.0012403765
## 150 7.401229e-03 0.007353677 0.0058093055 0.0052528760 0.001569073 0.0012403765
## 151 9.752426e-03 0.073827332 0.0614992442 0.0194621289 0.032301610 0.0585006546
## 152 9.752426e-03 0.073827332 0.0614992442 0.0194621289 0.032301610 0.0585006546
## 153 9.752426e-03 0.073827332 0.0614992442 0.0194621289 0.032301610 0.0585006546
## 154 9.752426e-03 0.073827332 0.0614992442 0.0194621289 0.032301610 0.0585006546
## 155 6.912955e-02 0.021454954 0.0508794051 0.0588109300 0.017862745 0.0573292766
## 156 4.186786e-03 0.009827912 0.0189687112 0.0510835583 0.008339059 0.0750278296
## 157 4.186786e-03 0.009827912 0.0189687112 0.0510835583 0.008339059 0.0750278296
## 158 4.186786e-03 0.009827912 0.0189687112 0.0510835583 0.008339059 0.0750278296
## 159 4.186786e-03 0.009827912 0.0189687112 0.0510835583 0.008339059 0.0750278296
## 160 4.186786e-03 0.009827912 0.0189687112 0.0510835583 0.008339059 0.0750278296
## 161 4.186786e-03 0.009827912 0.0189687112 0.0510835583 0.008339059 0.0750278296
## 162 1.766357e-03 0.002174111 0.0180141915 0.1259372668 0.148076164 0.0041565686
## 163 1.766357e-03 0.002174111 0.0180141915 0.1259372668 0.148076164 0.0041565686
## 164 1.646039e-03 0.009490429 0.0255249875 0.0433335553 0.005128784 0.0214772315
## 165 1.646039e-03 0.009490429 0.0255249875 0.0433335553 0.005128784 0.0214772315
## 166 6.929635e-04 0.001821577 0.0421908835 0.0272412730 0.057696548 0.0255113619
## 167 6.929635e-04 0.001821577 0.0421908835 0.0272412730 0.057696548 0.0255113619
## 168 6.929635e-04 0.001821577 0.0421908835 0.0272412730 0.057696548 0.0255113619
## 169 6.929635e-04 0.001821577 0.0421908835 0.0272412730 0.057696548 0.0255113619
## 170 6.929635e-04 0.001821577 0.0421908835 0.0272412730 0.057696548 0.0255113619
## 171 6.929635e-04 0.001821577 0.0421908835 0.0272412730 0.057696548 0.0255113619
## 172 5.435904e-02 0.014878650 0.0004122096 0.0084051022 0.251818603 0.0533565534
## 173 5.435904e-02 0.014878650 0.0004122096 0.0084051022 0.251818603 0.0533565534
## 174 5.435904e-02 0.014878650 0.0004122096 0.0084051022 0.251818603 0.0533565534
## 175 2.366296e-02 0.053460303 0.0115117261 0.0123261163 0.056599588 0.0305215532
## 176 2.366296e-02 0.053460303 0.0115117261 0.0123261163 0.056599588 0.0305215532
## 177 2.366296e-02 0.053460303 0.0115117261 0.0123261163 0.056599588 0.0305215532
## 178 1.091432e-02 0.010828701 0.0130701677 0.0128143236 0.021579758 0.0201004222
## 179 1.091432e-02 0.010828701 0.0130701677 0.0128143236 0.021579758 0.0201004222
## 180 2.400981e-02 0.005046339 0.0131608764 0.0036524847 0.006099109 0.0034871752
## 181 2.400981e-02 0.005046339 0.0131608764 0.0036524847 0.006099109 0.0034871752
## 182 2.542958e-03 0.039218230 0.0046106352 0.0001101778 0.001351219 0.0042290568
## 183 2.542958e-03 0.039218230 0.0046106352 0.0001101778 0.001351219 0.0042290568
## 184 1.193063e-03 0.026163339 0.0592194800 0.0395332651 0.048439040 0.0252562238
## 185 1.193063e-03 0.026163339 0.0592194800 0.0395332651 0.048439040 0.0252562238
## 186 1.007765e-03 0.004295092 0.0022414374 0.0014341693 0.001449780 0.0003235656
## 187 1.007765e-03 0.004295092 0.0022414374 0.0014341693 0.001449780 0.0003235656
## 188 1.007765e-03 0.004295092 0.0022414374 0.0014341693 0.001449780 0.0003235656
## 189 1.007765e-03 0.004295092 0.0022414374 0.0014341693 0.001449780 0.0003235656
## 190 1.007765e-03 0.004295092 0.0022414374 0.0014341693 0.001449780 0.0003235656
## 191 1.007765e-03 0.004295092 0.0022414374 0.0014341693 0.001449780 0.0003235656
## 192 1.018096e-01 0.115979182 0.0120913463 0.0296282318 0.034839778 0.0090802700
## 193 1.018096e-01 0.115979182 0.0120913463 0.0296282318 0.034839778 0.0090802700
## 194 1.018096e-01 0.115979182 0.0120913463 0.0296282318 0.034839778 0.0090802700
## 195 1.018096e-01 0.115979182 0.0120913463 0.0296282318 0.034839778 0.0090802700
## 196 1.018096e-01 0.115979182 0.0120913463 0.0296282318 0.034839778 0.0090802700
## 197 4.260021e-02 0.046211621 0.0273774601 0.0191836981 0.009772479 0.0124411789
## 198 4.260021e-02 0.046211621 0.0273774601 0.0191836981 0.009772479 0.0124411789
## 199 7.874266e-03 0.013809380 0.0015210043 0.0017448086 0.002115746 0.0010049968
## 200 7.874266e-03 0.013809380 0.0015210043 0.0017448086 0.002115746 0.0010049968
## 201 7.874266e-03 0.013809380 0.0015210043 0.0017448086 0.002115746 0.0010049968
## 202 7.874266e-03 0.013809380 0.0015210043 0.0017448086 0.002115746 0.0010049968
## 203 1.200647e-01 0.113808524 0.0011812779 0.0119499431 0.006974499 0.0132782351
## 204 1.200647e-01 0.113808524 0.0011812779 0.0119499431 0.006974499 0.0132782351
## 205 1.200647e-01 0.113808524 0.0011812779 0.0119499431 0.006974499 0.0132782351
## 206 1.200647e-01 0.113808524 0.0011812779 0.0119499431 0.006974499 0.0132782351
## 207 2.567724e-02 0.048049446 0.0121410384 0.0157909598 0.022428463 0.0379294247
## 208 2.567724e-02 0.048049446 0.0121410384 0.0157909598 0.022428463 0.0379294247
## 209 2.366696e-01 0.161489162 0.0083104220 0.0174222997 0.005847716 0.0071369460
## 210 8.209864e-03 0.010901397 0.0996256540 0.2102660508 0.172368329 0.1399842901
## 211 8.209864e-03 0.010901397 0.0996256540 0.2102660508 0.172368329 0.1399842901
## 212 8.209864e-03 0.010901397 0.0996256540 0.2102660508 0.172368329 0.1399842901
## 213 2.256891e-02 0.018400558 0.0147557365 0.0207460647 0.018346070 0.0091077385
## 214 2.256891e-02 0.018400558 0.0147557365 0.0207460647 0.018346070 0.0091077385
## 215 2.256891e-02 0.018400558 0.0147557365 0.0207460647 0.018346070 0.0091077385
## 216 2.256891e-02 0.018400558 0.0147557365 0.0207460647 0.018346070 0.0091077385
## 217 2.477196e-02 0.030862895 0.0287324913 0.0141002972 0.030642170 0.0141963487
## 218 2.477196e-02 0.030862895 0.0287324913 0.0141002972 0.030642170 0.0141963487
## 219 2.477196e-02 0.030862895 0.0287324913 0.0141002972 0.030642170 0.0141963487
## 220 2.899744e-02 0.016495620 0.0372441773 0.0895763137 0.016492205 0.1009539532
## 221 2.899744e-02 0.016495620 0.0372441773 0.0895763137 0.016492205 0.1009539532
## 222 2.899744e-02 0.016495620 0.0372441773 0.0895763137 0.016492205 0.1009539532
## 223 2.899744e-02 0.016495620 0.0372441773 0.0895763137 0.016492205 0.1009539532
## 224 2.899744e-02 0.016495620 0.0372441773 0.0895763137 0.016492205 0.1009539532
## 225 2.771297e-02 0.117822939 0.0545234719 0.0211016670 0.016344143 0.0122898463
## 226 2.771297e-02 0.117822939 0.0545234719 0.0211016670 0.016344143 0.0122898463
## 227 3.807062e-02 0.053727346 0.1494512528 0.1526401221 0.221994569 0.1090592536
## 228 3.807062e-02 0.053727346 0.1494512528 0.1526401221 0.221994569 0.1090592536
## 229 3.807062e-02 0.053727346 0.1494512528 0.1526401221 0.221994569 0.1090592536
## 230 3.807062e-02 0.053727346 0.1494512528 0.1526401221 0.221994569 0.1090592536
## 231 1.987868e-02 0.015969003 0.0142821971 0.0197720967 0.002734420 0.0195382506
## 232 1.987868e-02 0.015969003 0.0142821971 0.0197720967 0.002734420 0.0195382506
## 233 1.987868e-02 0.015969003 0.0142821971 0.0197720967 0.002734420 0.0195382506
## 234 1.987868e-02 0.015969003 0.0142821971 0.0197720967 0.002734420 0.0195382506
## 235 3.144800e-03 0.018033996 0.0124485768 0.0097105431 0.056101845 0.0173008062
## 236 3.144800e-03 0.018033996 0.0124485768 0.0097105431 0.056101845 0.0173008062
## 237 3.144800e-03 0.018033996 0.0124485768 0.0097105431 0.056101845 0.0173008062
## 238 1.872860e-02 0.005389752 0.0069281145 0.0170459048 0.024232363 0.0177163143
## 239 1.872860e-02 0.005389752 0.0069281145 0.0170459048 0.024232363 0.0177163143
## 240 1.872860e-02 0.005389752 0.0069281145 0.0170459048 0.024232363 0.0177163143
## 241 1.158177e-01 0.187342054 0.0258297168 0.0105400332 0.020233675 0.0215569826
## 242 3.765445e-02 0.018288097 0.0311714223 0.0217506393 0.034412624 0.0119047429
## 243 3.765445e-02 0.018288097 0.0311714223 0.0217506393 0.034412624 0.0119047429
## 244 3.765445e-02 0.018288097 0.0311714223 0.0217506393 0.034412624 0.0119047429
## 245 3.765445e-02 0.018288097 0.0311714223 0.0217506393 0.034412624 0.0119047429
## 246 3.765445e-02 0.018288097 0.0311714223 0.0217506393 0.034412624 0.0119047429
## 247 1.033598e-01 0.037866733 0.0455977901 0.1579611005 0.120036535 0.0371025475
## 248 1.033598e-01 0.037866733 0.0455977901 0.1579611005 0.120036535 0.0371025475
## 249 1.033598e-01 0.037866733 0.0455977901 0.1579611005 0.120036535 0.0371025475
## 250 3.325210e-03 0.011360962 0.0284555322 0.0188639632 0.003433017 0.0061306371
## 251 3.325210e-03 0.011360962 0.0284555322 0.0188639632 0.003433017 0.0061306371
## 252 3.325210e-03 0.011360962 0.0284555322 0.0188639632 0.003433017 0.0061306371
## 253 3.325210e-03 0.011360962 0.0284555322 0.0188639632 0.003433017 0.0061306371
## 254 2.947485e-02 0.023073871 0.0088044798 0.0190618133 0.014931253 0.0005443606
## 255 2.259945e-02 0.042371717 0.1399233825 0.0579777281 0.177431144 0.0225011590
## 256 2.259945e-02 0.042371717 0.1399233825 0.0579777281 0.177431144 0.0225011590
## 257 2.259945e-02 0.042371717 0.1399233825 0.0579777281 0.177431144 0.0225011590
## 258 2.259945e-02 0.042371717 0.1399233825 0.0579777281 0.177431144 0.0225011590
## 259 2.259945e-02 0.042371717 0.1399233825 0.0579777281 0.177431144 0.0225011590
## 260 1.793280e-02 0.029103316 0.0072861772 0.0006553378 0.010122339 0.0039126749
## 261 1.793280e-02 0.029103316 0.0072861772 0.0006553378 0.010122339 0.0039126749
## 262 5.339737e-03 0.002049347 0.0045830982 0.0185463946 0.019931835 0.0236381704
## 263 2.079745e-01 0.094959000 0.0555811192 0.0923936626 0.033553904 0.1365143870
## 264 2.079745e-01 0.094959000 0.0555811192 0.0923936626 0.033553904 0.1365143870
## 265 2.079745e-01 0.094959000 0.0555811192 0.0923936626 0.033553904 0.1365143870
## 266 1.104980e-02 0.046329830 0.0703674228 0.0889602992 0.015273818 0.0287495374
## 267 1.104980e-02 0.046329830 0.0703674228 0.0889602992 0.015273818 0.0287495374
## 268 1.104980e-02 0.046329830 0.0703674228 0.0889602992 0.015273818 0.0287495374
## 269 1.104980e-02 0.046329830 0.0703674228 0.0889602992 0.015273818 0.0287495374
## 270 1.104980e-02 0.046329830 0.0703674228 0.0889602992 0.015273818 0.0287495374
## 271 1.104980e-02 0.046329830 0.0703674228 0.0889602992 0.015273818 0.0287495374
## 272 1.728922e-02 0.086554249 0.0146435287 0.0176255869 0.006457402 0.0063780420
## 273 1.728922e-02 0.086554249 0.0146435287 0.0176255869 0.006457402 0.0063780420
## 274 1.196717e-02 0.019460294 0.0052824186 0.0041367088 0.002587613 0.0067478477
## 275 1.196717e-02 0.019460294 0.0052824186 0.0041367088 0.002587613 0.0067478477
## 276 1.196717e-02 0.019460294 0.0052824186 0.0041367088 0.002587613 0.0067478477
## 277 7.038337e-03 0.126664572 0.0375198021 0.0613397037 0.012443349 0.0097592508
## 278 7.038337e-03 0.126664572 0.0375198021 0.0613397037 0.012443349 0.0097592508
## 279 7.038337e-03 0.126664572 0.0375198021 0.0613397037 0.012443349 0.0097592508
## 280 7.038337e-03 0.126664572 0.0375198021 0.0613397037 0.012443349 0.0097592508
## 281 7.038337e-03 0.126664572 0.0375198021 0.0613397037 0.012443349 0.0097592508
## 282 9.123827e-03 0.012657655 0.0325621234 0.0558825502 0.041256785 0.0725060691
## 283 9.123827e-03 0.012657655 0.0325621234 0.0558825502 0.041256785 0.0725060691
## 284 9.123827e-03 0.012657655 0.0325621234 0.0558825502 0.041256785 0.0725060691
## 285 9.123827e-03 0.012657655 0.0325621234 0.0558825502 0.041256785 0.0725060691
## 286 9.123827e-03 0.012657655 0.0325621234 0.0558825502 0.041256785 0.0725060691
## 287 3.786392e-02 0.037914081 0.0100304700 0.0188161121 0.021993214 0.0258427123
## 288 3.786392e-02 0.037914081 0.0100304700 0.0188161121 0.021993214 0.0258427123
## 289 1.445745e-02 0.002706264 0.0316902872 0.0753563260 0.075280872 0.0103244594
## 290 1.445745e-02 0.002706264 0.0316902872 0.0753563260 0.075280872 0.0103244594
## 291 1.445745e-02 0.002706264 0.0316902872 0.0753563260 0.075280872 0.0103244594
## 292 1.445745e-02 0.002706264 0.0316902872 0.0753563260 0.075280872 0.0103244594
## 293 1.445745e-02 0.002706264 0.0316902872 0.0753563260 0.075280872 0.0103244594
## 294 1.445745e-02 0.002706264 0.0316902872 0.0753563260 0.075280872 0.0103244594
## 295 2.976795e-03 0.003435648 0.0130958911 0.0509192822 0.018113250 0.0319259411
## 296 2.976795e-03 0.003435648 0.0130958911 0.0509192822 0.018113250 0.0319259411
## 297 2.976795e-03 0.003435648 0.0130958911 0.0509192822 0.018113250 0.0319259411
## 298 1.513094e-02 0.023867845 0.0027216909 0.0014458879 0.001449564 0.0023674188
## 299 1.513094e-02 0.023867845 0.0027216909 0.0014458879 0.001449564 0.0023674188
## 300 1.513094e-02 0.023867845 0.0027216909 0.0014458879 0.001449564 0.0023674188
## 301 1.422437e-02 0.041501874 0.0470857149 0.0309400083 0.026521235 0.0059534885
## 302 1.422437e-02 0.041501874 0.0470857149 0.0309400083 0.026521235 0.0059534885
## 303 1.071244e-02 0.032065527 0.0004985359 0.0011555684 0.001213983 0.0032774659
## 304 1.071244e-02 0.032065527 0.0004985359 0.0011555684 0.001213983 0.0032774659
## 305 1.071244e-02 0.032065527 0.0004985359 0.0011555684 0.001213983 0.0032774659
## 306 1.071244e-02 0.032065527 0.0004985359 0.0011555684 0.001213983 0.0032774659
## 307 1.071244e-02 0.032065527 0.0004985359 0.0011555684 0.001213983 0.0032774659
## 308 2.081203e-02 0.055873215 0.0794792834 0.0882538905 0.031596822 0.0767631174
## 309 2.081203e-02 0.055873215 0.0794792834 0.0882538905 0.031596822 0.0767631174
## 310 2.081203e-02 0.055873215 0.0794792834 0.0882538905 0.031596822 0.0767631174
## 311 2.122644e-02 0.005230158 0.0163661572 0.0003335082 0.013692660 0.0178106342
## 312 2.122644e-02 0.005230158 0.0163661572 0.0003335082 0.013692660 0.0178106342
## 313 2.122644e-02 0.005230158 0.0163661572 0.0003335082 0.013692660 0.0178106342
## 314 2.122644e-02 0.005230158 0.0163661572 0.0003335082 0.013692660 0.0178106342
## 315 2.122644e-02 0.005230158 0.0163661572 0.0003335082 0.013692660 0.0178106342
## 316 2.122644e-02 0.005230158 0.0163661572 0.0003335082 0.013692660 0.0178106342
## 317 3.358390e-02 0.080732125 0.0093126350 0.0140069390 0.007134948 0.0099837082
## 318 3.358390e-02 0.080732125 0.0093126350 0.0140069390 0.007134948 0.0099837082
## 319 3.358390e-02 0.080732125 0.0093126350 0.0140069390 0.007134948 0.0099837082
## 320 2.373095e-02 0.006368667 0.0057848883 0.0149727545 0.004841517 0.0068010664
## 321 2.373095e-02 0.006368667 0.0057848883 0.0149727545 0.004841517 0.0068010664
## 322 2.373095e-02 0.006368667 0.0057848883 0.0149727545 0.004841517 0.0068010664
## 323 2.373095e-02 0.006368667 0.0057848883 0.0149727545 0.004841517 0.0068010664
## 324 4.954991e-02 0.049366660 0.0065599127 0.0327192900 0.042908432 0.0321042987
## 325 4.954991e-02 0.049366660 0.0065599127 0.0327192900 0.042908432 0.0321042987
## 326 4.954991e-02 0.049366660 0.0065599127 0.0327192900 0.042908432 0.0321042987
## 327 4.954991e-02 0.049366660 0.0065599127 0.0327192900 0.042908432 0.0321042987
## 328 4.954991e-02 0.049366660 0.0065599127 0.0327192900 0.042908432 0.0321042987
##            W_AF1        W_AF2        W_AF3        W_AF4        W_PV1
## 1   0.0315568470 0.0631084539 0.0265190189 0.0985093388 1.761918e-02
## 2   0.0524395115 0.0137138708 0.0377919530 0.0306680382 1.660232e-02
## 3   0.0524395115 0.0137138708 0.0377919530 0.0306680382 1.660232e-02
## 4   0.0524395115 0.0137138708 0.0377919530 0.0306680382 1.660232e-02
## 5   0.0524395115 0.0137138708 0.0377919530 0.0306680382 1.660232e-02
## 6   0.0524395115 0.0137138708 0.0377919530 0.0306680382 1.660232e-02
## 7   0.0546828839 0.0446600459 0.0905617071 0.0697384734 5.352206e-05
## 8   0.0546828839 0.0446600459 0.0905617071 0.0697384734 5.352206e-05
## 9   0.0787199714 0.0902925390 0.0830149027 0.0606862850 4.695418e-02
## 10  0.0787199714 0.0902925390 0.0830149027 0.0606862850 4.695418e-02
## 11  0.0787199714 0.0902925390 0.0830149027 0.0606862850 4.695418e-02
## 12  0.0787199714 0.0902925390 0.0830149027 0.0606862850 4.695418e-02
## 13  0.0439208341 0.0348853123 0.0182051514 0.0529193291 1.679976e-01
## 14  0.0439208341 0.0348853123 0.0182051514 0.0529193291 1.679976e-01
## 15  0.0439208341 0.0348853123 0.0182051514 0.0529193291 1.679976e-01
## 16  0.0439208341 0.0348853123 0.0182051514 0.0529193291 1.679976e-01
## 17  0.0439208341 0.0348853123 0.0182051514 0.0529193291 1.679976e-01
## 18  0.0439208341 0.0348853123 0.0182051514 0.0529193291 1.679976e-01
## 19  0.0178389674 0.0082643794 0.0218156645 0.0027119023 1.867413e-01
## 20  0.0178389674 0.0082643794 0.0218156645 0.0027119023 1.867413e-01
## 21  0.0178389674 0.0082643794 0.0218156645 0.0027119023 1.867413e-01
## 22  0.0178389674 0.0082643794 0.0218156645 0.0027119023 1.867413e-01
## 23  0.0178389674 0.0082643794 0.0218156645 0.0027119023 1.867413e-01
## 24  0.0864232671 0.0157583574 0.0479910812 0.0747272098 6.010945e-02
## 25  0.0864232671 0.0157583574 0.0479910812 0.0747272098 6.010945e-02
## 26  0.0811084777 0.1660724833 0.0555901860 0.0649893358 4.187706e-02
## 27  0.0811084777 0.1660724833 0.0555901860 0.0649893358 4.187706e-02
## 28  0.0811084777 0.1660724833 0.0555901860 0.0649893358 4.187706e-02
## 29  0.0828573779 0.0805277121 0.2496807660 0.0607319727 3.488608e-02
## 30  0.0828573779 0.0805277121 0.2496807660 0.0607319727 3.488608e-02
## 31  0.0828573779 0.0805277121 0.2496807660 0.0607319727 3.488608e-02
## 32  0.0828573779 0.0805277121 0.2496807660 0.0607319727 3.488608e-02
## 33  0.0828573779 0.0805277121 0.2496807660 0.0607319727 3.488608e-02
## 34  0.0607867534 0.0268226165 0.0244256164 0.0369940097 7.645657e-02
## 35  0.0607867534 0.0268226165 0.0244256164 0.0369940097 7.645657e-02
## 36  0.0049310750 0.0026709720 0.0003634384 0.0015292828 1.168110e-02
## 37  0.0049310750 0.0026709720 0.0003634384 0.0015292828 1.168110e-02
## 38  0.0049310750 0.0026709720 0.0003634384 0.0015292828 1.168110e-02
## 39  0.0049310750 0.0026709720 0.0003634384 0.0015292828 1.168110e-02
## 40  0.0049310750 0.0026709720 0.0003634384 0.0015292828 1.168110e-02
## 41  0.0049310750 0.0026709720 0.0003634384 0.0015292828 1.168110e-02
## 42  0.0022099404 0.0216097393 0.0367518786 0.0259768803 1.625155e-02
## 43  0.0022099404 0.0216097393 0.0367518786 0.0259768803 1.625155e-02
## 44  0.0022099404 0.0216097393 0.0367518786 0.0259768803 1.625155e-02
## 45  0.0022099404 0.0216097393 0.0367518786 0.0259768803 1.625155e-02
## 46  0.0022099404 0.0216097393 0.0367518786 0.0259768803 1.625155e-02
## 47  0.0595007722 0.0474535104 0.0747856161 0.0114665912 1.414256e-02
## 48  0.0008795604 0.0023584425 0.0035550069 0.0125618433 2.370674e-02
## 49  0.0008795604 0.0023584425 0.0035550069 0.0125618433 2.370674e-02
## 50  0.0008795604 0.0023584425 0.0035550069 0.0125618433 2.370674e-02
## 51  0.0008795604 0.0023584425 0.0035550069 0.0125618433 2.370674e-02
## 52  0.0008795604 0.0023584425 0.0035550069 0.0125618433 2.370674e-02
## 53  0.0008795604 0.0023584425 0.0035550069 0.0125618433 2.370674e-02
## 54  0.0241516105 0.0168194347 0.0250827290 0.0158309852 7.177285e-03
## 55  0.0241516105 0.0168194347 0.0250827290 0.0158309852 7.177285e-03
## 56  0.0241516105 0.0168194347 0.0250827290 0.0158309852 7.177285e-03
## 57  0.0011427672 0.0034301470 0.0039102979 0.0057695267 3.672567e-02
## 58  0.0011427672 0.0034301470 0.0039102979 0.0057695267 3.672567e-02
## 59  0.0011427672 0.0034301470 0.0039102979 0.0057695267 3.672567e-02
## 60  0.0011427672 0.0034301470 0.0039102979 0.0057695267 3.672567e-02
## 61  0.0011427672 0.0034301470 0.0039102979 0.0057695267 3.672567e-02
## 62  0.0011427672 0.0034301470 0.0039102979 0.0057695267 3.672567e-02
## 63  0.0667347461 0.1054125504 0.0465877251 0.0570967858 1.335093e-02
## 64  0.0667347461 0.1054125504 0.0465877251 0.0570967858 1.335093e-02
## 65  0.0667347461 0.1054125504 0.0465877251 0.0570967858 1.335093e-02
## 66  0.0029456633 0.0123146206 0.0082659580 0.0073020334 5.484024e-03
## 67  0.0029456633 0.0123146206 0.0082659580 0.0073020334 5.484024e-03
## 68  0.0140170176 0.0091234352 0.0161527518 0.0050267666 3.173677e-03
## 69  0.0140170176 0.0091234352 0.0161527518 0.0050267666 3.173677e-03
## 70  0.0354259943 0.0033598044 0.0083328908 0.0632128073 2.640079e-02
## 71  0.0354259943 0.0033598044 0.0083328908 0.0632128073 2.640079e-02
## 72  0.0354259943 0.0033598044 0.0083328908 0.0632128073 2.640079e-02
## 73  0.0354259943 0.0033598044 0.0083328908 0.0632128073 2.640079e-02
## 74  0.0008028638 0.0006140606 0.0002858708 0.0022270621 6.539016e-02
## 75  0.0008028638 0.0006140606 0.0002858708 0.0022270621 6.539016e-02
## 76  0.0384875661 0.0341928794 0.0284192332 0.0227088376 6.001528e-02
## 77  0.0151602360 0.0517291429 0.0283823184 0.0377701425 1.360633e-02
## 78  0.0151602360 0.0517291429 0.0283823184 0.0377701425 1.360633e-02
## 79  0.0151602360 0.0517291429 0.0283823184 0.0377701425 1.360633e-02
## 80  0.0151602360 0.0517291429 0.0283823184 0.0377701425 1.360633e-02
## 81  0.0151602360 0.0517291429 0.0283823184 0.0377701425 1.360633e-02
## 82  0.0360430198 0.1092025479 0.0821733433 0.0179582524 3.391960e-02
## 83  0.0360430198 0.1092025479 0.0821733433 0.0179582524 3.391960e-02
## 84  0.0360430198 0.1092025479 0.0821733433 0.0179582524 3.391960e-02
## 85  0.0360430198 0.1092025479 0.0821733433 0.0179582524 3.391960e-02
## 86  0.0219738813 0.0368674549 0.0996879666 0.1057407907 4.194381e-02
## 87  0.0108846834 0.0010988117 0.0028490809 0.0105506520 8.052053e-02
## 88  0.0108846834 0.0010988117 0.0028490809 0.0105506520 8.052053e-02
## 89  0.0174438343 0.0101554687 0.0137705786 0.0318549789 3.549033e-02
## 90  0.0174438343 0.0101554687 0.0137705786 0.0318549789 3.549033e-02
## 91  0.0043304087 0.0143116201 0.0240732838 0.0119130295 1.672125e-02
## 92  0.0043304087 0.0143116201 0.0240732838 0.0119130295 1.672125e-02
## 93  0.0043304087 0.0143116201 0.0240732838 0.0119130295 1.672125e-02
## 94  0.0648474208 0.0297653283 0.0492135259 0.0459554673 1.786243e-04
## 95  0.0648474208 0.0297653283 0.0492135259 0.0459554673 1.786243e-04
## 96  0.0648474208 0.0297653283 0.0492135259 0.0459554673 1.786243e-04
## 97  0.0648474208 0.0297653283 0.0492135259 0.0459554673 1.786243e-04
## 98  0.1012420206 0.0319209382 0.0333480357 0.0581235442 1.561188e-02
## 99  0.1012420206 0.0319209382 0.0333480357 0.0581235442 1.561188e-02
## 100 0.1012420206 0.0319209382 0.0333480357 0.0581235442 1.561188e-02
## 101 0.1012420206 0.0319209382 0.0333480357 0.0581235442 1.561188e-02
## 102 0.1153346547 0.0218625308 0.0181100462 0.0103075767 2.716112e-03
## 103 0.0124734730 0.0065751676 0.0177898649 0.0349234876 5.277512e-03
## 104 0.0124734730 0.0065751676 0.0177898649 0.0349234876 5.277512e-03
## 105 0.0124734730 0.0065751676 0.0177898649 0.0349234876 5.277512e-03
## 106 0.0527332735 0.1426705048 0.0476379554 0.1021221289 2.386785e-04
## 107 0.0527332735 0.1426705048 0.0476379554 0.1021221289 2.386785e-04
## 108 0.0527332735 0.1426705048 0.0476379554 0.1021221289 2.386785e-04
## 109 0.0621016620 0.0226908732 0.0443956271 0.0556679993 3.493213e-03
## 110 0.0621016620 0.0226908732 0.0443956271 0.0556679993 3.493213e-03
## 111 0.0621016620 0.0226908732 0.0443956271 0.0556679993 3.493213e-03
## 112 0.0621016620 0.0226908732 0.0443956271 0.0556679993 3.493213e-03
## 113 0.0621016620 0.0226908732 0.0443956271 0.0556679993 3.493213e-03
## 114 0.1225872118 0.0288812087 0.0740428607 0.1728983518 7.396677e-03
## 115 0.1225872118 0.0288812087 0.0740428607 0.1728983518 7.396677e-03
## 116 0.1225872118 0.0288812087 0.0740428607 0.1728983518 7.396677e-03
## 117 0.1225872118 0.0288812087 0.0740428607 0.1728983518 7.396677e-03
## 118 0.0177854110 0.0246312931 0.0087459423 0.0483235822 3.187777e-02
## 119 0.0177854110 0.0246312931 0.0087459423 0.0483235822 3.187777e-02
## 120 0.0177854110 0.0246312931 0.0087459423 0.0483235822 3.187777e-02
## 121 0.0177854110 0.0246312931 0.0087459423 0.0483235822 3.187777e-02
## 122 0.0177854110 0.0246312931 0.0087459423 0.0483235822 3.187777e-02
## 123 0.0311512823 0.0153305196 0.0178353345 0.0341589324 4.279246e-02
## 124 0.0072779541 0.0070668186 0.0239441216 0.0078107724 1.161892e-03
## 125 0.0072779541 0.0070668186 0.0239441216 0.0078107724 1.161892e-03
## 126 0.0072779541 0.0070668186 0.0239441216 0.0078107724 1.161892e-03
## 127 0.0072779541 0.0070668186 0.0239441216 0.0078107724 1.161892e-03
## 128 0.0072779541 0.0070668186 0.0239441216 0.0078107724 1.161892e-03
## 129 0.0255200446 0.0618412023 0.0574927047 0.0216314021 9.858844e-03
## 130 0.0452752212 0.0496253905 0.0068002433 0.0372468734 7.420995e-03
## 131 0.0452752212 0.0496253905 0.0068002433 0.0372468734 7.420995e-03
## 132 0.0452752212 0.0496253905 0.0068002433 0.0372468734 7.420995e-03
## 133 0.0452752212 0.0496253905 0.0068002433 0.0372468734 7.420995e-03
## 134 0.0452752212 0.0496253905 0.0068002433 0.0372468734 7.420995e-03
## 135 0.0965995234 0.1211719813 0.0828091321 0.0486125230 6.788869e-03
## 136 0.0965995234 0.1211719813 0.0828091321 0.0486125230 6.788869e-03
## 137 0.0965995234 0.1211719813 0.0828091321 0.0486125230 6.788869e-03
## 138 0.0352936928 0.0468966747 0.0104105698 0.0332475625 1.582141e-01
## 139 0.2087306599 0.1799671617 0.0330138193 0.1218944423 4.861940e-03
## 140 0.2087306599 0.1799671617 0.0330138193 0.1218944423 4.861940e-03
## 141 0.0159606928 0.0272743154 0.0048503394 0.0173165849 3.354439e-02
## 142 0.0159606928 0.0272743154 0.0048503394 0.0173165849 3.354439e-02
## 143 0.0586218062 0.0231576996 0.0395590538 0.0093937789 3.338730e-02
## 144 0.0586218062 0.0231576996 0.0395590538 0.0093937789 3.338730e-02
## 145 0.0586218062 0.0231576996 0.0395590538 0.0093937789 3.338730e-02
## 146 0.0369866677 0.0605247642 0.0020233604 0.0405225488 3.955655e-03
## 147 0.0148701330 0.0549555199 0.1163958397 0.0191088385 1.015556e-01
## 148 0.0148701330 0.0549555199 0.1163958397 0.0191088385 1.015556e-01
## 149 0.0148701330 0.0549555199 0.1163958397 0.0191088385 1.015556e-01
## 150 0.0148701330 0.0549555199 0.1163958397 0.0191088385 1.015556e-01
## 151 0.0213700577 0.0298017702 0.0441097307 0.0325207614 8.298113e-03
## 152 0.0213700577 0.0298017702 0.0441097307 0.0325207614 8.298113e-03
## 153 0.0213700577 0.0298017702 0.0441097307 0.0325207614 8.298113e-03
## 154 0.0213700577 0.0298017702 0.0441097307 0.0325207614 8.298113e-03
## 155 0.0057207134 0.0022696367 0.0006747184 0.0024320150 8.525112e-03
## 156 0.0167362508 0.0094742249 0.0153554287 0.0305466283 3.834885e-02
## 157 0.0167362508 0.0094742249 0.0153554287 0.0305466283 3.834885e-02
## 158 0.0167362508 0.0094742249 0.0153554287 0.0305466283 3.834885e-02
## 159 0.0167362508 0.0094742249 0.0153554287 0.0305466283 3.834885e-02
## 160 0.0167362508 0.0094742249 0.0153554287 0.0305466283 3.834885e-02
## 161 0.0167362508 0.0094742249 0.0153554287 0.0305466283 3.834885e-02
## 162 0.0473261886 0.0769980517 0.0846719537 0.0429703364 2.367980e-02
## 163 0.0473261886 0.0769980517 0.0846719537 0.0429703364 2.367980e-02
## 164 0.0366661538 0.0043527992 0.0265582035 0.0170787604 3.796489e-02
## 165 0.0366661538 0.0043527992 0.0265582035 0.0170787604 3.796489e-02
## 166 0.0425258473 0.0688671225 0.0881780987 0.0691901757 3.383333e-02
## 167 0.0425258473 0.0688671225 0.0881780987 0.0691901757 3.383333e-02
## 168 0.0425258473 0.0688671225 0.0881780987 0.0691901757 3.383333e-02
## 169 0.0425258473 0.0688671225 0.0881780987 0.0691901757 3.383333e-02
## 170 0.0425258473 0.0688671225 0.0881780987 0.0691901757 3.383333e-02
## 171 0.0425258473 0.0688671225 0.0881780987 0.0691901757 3.383333e-02
## 172 0.0061849296 0.0014980008 0.0137105358 0.0085938296 2.424602e-04
## 173 0.0061849296 0.0014980008 0.0137105358 0.0085938296 2.424602e-04
## 174 0.0061849296 0.0014980008 0.0137105358 0.0085938296 2.424602e-04
## 175 0.0224955800 0.0031408079 0.0089366693 0.0042061276 1.164963e-02
## 176 0.0224955800 0.0031408079 0.0089366693 0.0042061276 1.164963e-02
## 177 0.0224955800 0.0031408079 0.0089366693 0.0042061276 1.164963e-02
## 178 0.1225449436 0.0766423716 0.0788436606 0.0201824843 1.143624e-02
## 179 0.1225449436 0.0766423716 0.0788436606 0.0201824843 1.143624e-02
## 180 0.0170987090 0.0109323849 0.0157727151 0.0035951902 3.579084e-02
## 181 0.0170987090 0.0109323849 0.0157727151 0.0035951902 3.579084e-02
## 182 0.0495446509 0.1824038391 0.0363371363 0.0463177303 1.577882e-02
## 183 0.0495446509 0.1824038391 0.0363371363 0.0463177303 1.577882e-02
## 184 0.0457528915 0.0397242209 0.0501456160 0.0363266860 3.127850e-02
## 185 0.0457528915 0.0397242209 0.0501456160 0.0363266860 3.127850e-02
## 186 0.0440644050 0.0198325685 0.0172837406 0.0532122073 4.893752e-02
## 187 0.0440644050 0.0198325685 0.0172837406 0.0532122073 4.893752e-02
## 188 0.0440644050 0.0198325685 0.0172837406 0.0532122073 4.893752e-02
## 189 0.0440644050 0.0198325685 0.0172837406 0.0532122073 4.893752e-02
## 190 0.0440644050 0.0198325685 0.0172837406 0.0532122073 4.893752e-02
## 191 0.0440644050 0.0198325685 0.0172837406 0.0532122073 4.893752e-02
## 192 0.0052241257 0.0101749182 0.0235192469 0.0233049831 4.031460e-03
## 193 0.0052241257 0.0101749182 0.0235192469 0.0233049831 4.031460e-03
## 194 0.0052241257 0.0101749182 0.0235192469 0.0233049831 4.031460e-03
## 195 0.0052241257 0.0101749182 0.0235192469 0.0233049831 4.031460e-03
## 196 0.0052241257 0.0101749182 0.0235192469 0.0233049831 4.031460e-03
## 197 0.0295440495 0.0108104891 0.0558573619 0.0460897994 5.833342e-02
## 198 0.0295440495 0.0108104891 0.0558573619 0.0460897994 5.833342e-02
## 199 0.0572374987 0.0383632778 0.0572290827 0.0388069930 1.585698e-02
## 200 0.0572374987 0.0383632778 0.0572290827 0.0388069930 1.585698e-02
## 201 0.0572374987 0.0383632778 0.0572290827 0.0388069930 1.585698e-02
## 202 0.0572374987 0.0383632778 0.0572290827 0.0388069930 1.585698e-02
## 203 0.0911162084 0.0369572523 0.0146233111 0.0997334638 8.380905e-02
## 204 0.0911162084 0.0369572523 0.0146233111 0.0997334638 8.380905e-02
## 205 0.0911162084 0.0369572523 0.0146233111 0.0997334638 8.380905e-02
## 206 0.0911162084 0.0369572523 0.0146233111 0.0997334638 8.380905e-02
## 207 0.1212247504 0.0972472231 0.1165513771 0.0088979503 7.973839e-04
## 208 0.1212247504 0.0972472231 0.1165513771 0.0088979503 7.973839e-04
## 209 0.0187169394 0.0194869157 0.0359237894 0.0280447693 1.974285e-02
## 210 0.0069529677 0.0028550100 0.0107559419 0.0142403026 3.266493e-03
## 211 0.0069529677 0.0028550100 0.0107559419 0.0142403026 3.266493e-03
## 212 0.0069529677 0.0028550100 0.0107559419 0.0142403026 3.266493e-03
## 213 0.0211089083 0.0253519121 0.0849604980 0.0488636048 7.849297e-03
## 214 0.0211089083 0.0253519121 0.0849604980 0.0488636048 7.849297e-03
## 215 0.0211089083 0.0253519121 0.0849604980 0.0488636048 7.849297e-03
## 216 0.0211089083 0.0253519121 0.0849604980 0.0488636048 7.849297e-03
## 217 0.0357612964 0.0608965294 0.0498565420 0.0312061112 7.484563e-02
## 218 0.0357612964 0.0608965294 0.0498565420 0.0312061112 7.484563e-02
## 219 0.0357612964 0.0608965294 0.0498565420 0.0312061112 7.484563e-02
## 220 0.0075149174 0.0255615348 0.0251728028 0.0758018926 3.436843e-02
## 221 0.0075149174 0.0255615348 0.0251728028 0.0758018926 3.436843e-02
## 222 0.0075149174 0.0255615348 0.0251728028 0.0758018926 3.436843e-02
## 223 0.0075149174 0.0255615348 0.0251728028 0.0758018926 3.436843e-02
## 224 0.0075149174 0.0255615348 0.0251728028 0.0758018926 3.436843e-02
## 225 0.0143686049 0.0203219752 0.0715840022 0.0107088329 1.332127e-02
## 226 0.0143686049 0.0203219752 0.0715840022 0.0107088329 1.332127e-02
## 227 0.0014609150 0.0057897638 0.0014393243 0.0032625099 1.166685e-02
## 228 0.0014609150 0.0057897638 0.0014393243 0.0032625099 1.166685e-02
## 229 0.0014609150 0.0057897638 0.0014393243 0.0032625099 1.166685e-02
## 230 0.0014609150 0.0057897638 0.0014393243 0.0032625099 1.166685e-02
## 231 0.0406276962 0.0642938084 0.0125412975 0.0750262912 1.170692e-02
## 232 0.0406276962 0.0642938084 0.0125412975 0.0750262912 1.170692e-02
## 233 0.0406276962 0.0642938084 0.0125412975 0.0750262912 1.170692e-02
## 234 0.0406276962 0.0642938084 0.0125412975 0.0750262912 1.170692e-02
## 235 0.0154185782 0.0079655158 0.0116340300 0.0031648836 8.234423e-03
## 236 0.0154185782 0.0079655158 0.0116340300 0.0031648836 8.234423e-03
## 237 0.0154185782 0.0079655158 0.0116340300 0.0031648836 8.234423e-03
## 238 0.0420648553 0.0150217713 0.0209004990 0.0522910280 1.907228e-01
## 239 0.0420648553 0.0150217713 0.0209004990 0.0522910280 1.907228e-01
## 240 0.0420648553 0.0150217713 0.0209004990 0.0522910280 1.907228e-01
## 241 0.0192013105 0.0728495186 0.0336055407 0.0153158561 3.254920e-02
## 242 0.0643328686 0.0155597303 0.0349680074 0.0186943241 7.151547e-03
## 243 0.0643328686 0.0155597303 0.0349680074 0.0186943241 7.151547e-03
## 244 0.0643328686 0.0155597303 0.0349680074 0.0186943241 7.151547e-03
## 245 0.0643328686 0.0155597303 0.0349680074 0.0186943241 7.151547e-03
## 246 0.0643328686 0.0155597303 0.0349680074 0.0186943241 7.151547e-03
## 247 0.0091153701 0.0045174386 0.0030269808 0.0087875280 1.890258e-03
## 248 0.0091153701 0.0045174386 0.0030269808 0.0087875280 1.890258e-03
## 249 0.0091153701 0.0045174386 0.0030269808 0.0087875280 1.890258e-03
## 250 0.0795642575 0.0451986197 0.1483980978 0.1141248310 3.444376e-02
## 251 0.0795642575 0.0451986197 0.1483980978 0.1141248310 3.444376e-02
## 252 0.0795642575 0.0451986197 0.1483980978 0.1141248310 3.444376e-02
## 253 0.0795642575 0.0451986197 0.1483980978 0.1141248310 3.444376e-02
## 254 0.0167688092 0.0840401252 0.0369175718 0.0404646684 1.669049e-01
## 255 0.0757028790 0.0215308798 0.0264293419 0.0207471782 6.581960e-02
## 256 0.0757028790 0.0215308798 0.0264293419 0.0207471782 6.581960e-02
## 257 0.0757028790 0.0215308798 0.0264293419 0.0207471782 6.581960e-02
## 258 0.0757028790 0.0215308798 0.0264293419 0.0207471782 6.581960e-02
## 259 0.0757028790 0.0215308798 0.0264293419 0.0207471782 6.581960e-02
## 260 0.0082649675 0.0692462957 0.0563858220 0.0215466642 9.249250e-03
## 261 0.0082649675 0.0692462957 0.0563858220 0.0215466642 9.249250e-03
## 262 0.0027982382 0.0081621867 0.0166203157 0.0061970856 1.239137e-01
## 263 0.0026599986 0.0024746673 0.0056623243 0.0129237708 1.212061e-02
## 264 0.0026599986 0.0024746673 0.0056623243 0.0129237708 1.212061e-02
## 265 0.0026599986 0.0024746673 0.0056623243 0.0129237708 1.212061e-02
## 266 0.0127690628 0.0150552769 0.0193775878 0.0004212275 1.385942e-03
## 267 0.0127690628 0.0150552769 0.0193775878 0.0004212275 1.385942e-03
## 268 0.0127690628 0.0150552769 0.0193775878 0.0004212275 1.385942e-03
## 269 0.0127690628 0.0150552769 0.0193775878 0.0004212275 1.385942e-03
## 270 0.0127690628 0.0150552769 0.0193775878 0.0004212275 1.385942e-03
## 271 0.0127690628 0.0150552769 0.0193775878 0.0004212275 1.385942e-03
## 272 0.0554936170 0.0599326719 0.0247335516 0.0370399982 1.092886e-02
## 273 0.0554936170 0.0599326719 0.0247335516 0.0370399982 1.092886e-02
## 274 0.0378950091 0.0668665969 0.0137842853 0.0262447295 3.364661e-03
## 275 0.0378950091 0.0668665969 0.0137842853 0.0262447295 3.364661e-03
## 276 0.0378950091 0.0668665969 0.0137842853 0.0262447295 3.364661e-03
## 277 0.1013249627 0.0822274770 0.0402905670 0.0329035609 6.491840e-02
## 278 0.1013249627 0.0822274770 0.0402905670 0.0329035609 6.491840e-02
## 279 0.1013249627 0.0822274770 0.0402905670 0.0329035609 6.491840e-02
## 280 0.1013249627 0.0822274770 0.0402905670 0.0329035609 6.491840e-02
## 281 0.1013249627 0.0822274770 0.0402905670 0.0329035609 6.491840e-02
## 282 0.0122396850 0.0462799406 0.0264871715 0.0024891957 1.460812e-02
## 283 0.0122396850 0.0462799406 0.0264871715 0.0024891957 1.460812e-02
## 284 0.0122396850 0.0462799406 0.0264871715 0.0024891957 1.460812e-02
## 285 0.0122396850 0.0462799406 0.0264871715 0.0024891957 1.460812e-02
## 286 0.0122396850 0.0462799406 0.0264871715 0.0024891957 1.460812e-02
## 287 0.0099796472 0.0108990533 0.0390446526 0.0098464711 6.805809e-02
## 288 0.0099796472 0.0108990533 0.0390446526 0.0098464711 6.805809e-02
## 289 0.2051523364 0.0468447493 0.0772687737 0.1229826883 4.335039e-02
## 290 0.2051523364 0.0468447493 0.0772687737 0.1229826883 4.335039e-02
## 291 0.2051523364 0.0468447493 0.0772687737 0.1229826883 4.335039e-02
## 292 0.2051523364 0.0468447493 0.0772687737 0.1229826883 4.335039e-02
## 293 0.2051523364 0.0468447493 0.0772687737 0.1229826883 4.335039e-02
## 294 0.2051523364 0.0468447493 0.0772687737 0.1229826883 4.335039e-02
## 295 0.0644112328 0.0214798021 0.0265072117 0.0285211469 4.113063e-02
## 296 0.0644112328 0.0214798021 0.0265072117 0.0285211469 4.113063e-02
## 297 0.0644112328 0.0214798021 0.0265072117 0.0285211469 4.113063e-02
## 298 0.0543286026 0.0249448117 0.0284007542 0.0341200696 2.806200e-02
## 299 0.0543286026 0.0249448117 0.0284007542 0.0341200696 2.806200e-02
## 300 0.0543286026 0.0249448117 0.0284007542 0.0341200696 2.806200e-02
## 301 0.0421829307 0.0281549893 0.0299162037 0.0306516135 1.591282e-01
## 302 0.0421829307 0.0281549893 0.0299162037 0.0306516135 1.591282e-01
## 303 0.0046765300 0.0208044925 0.0162562181 0.0100945758 1.736730e-01
## 304 0.0046765300 0.0208044925 0.0162562181 0.0100945758 1.736730e-01
## 305 0.0046765300 0.0208044925 0.0162562181 0.0100945758 1.736730e-01
## 306 0.0046765300 0.0208044925 0.0162562181 0.0100945758 1.736730e-01
## 307 0.0046765300 0.0208044925 0.0162562181 0.0100945758 1.736730e-01
## 308 0.0083667739 0.0045639710 0.0099688134 0.0025527818 4.999439e-02
## 309 0.0083667739 0.0045639710 0.0099688134 0.0025527818 4.999439e-02
## 310 0.0083667739 0.0045639710 0.0099688134 0.0025527818 4.999439e-02
## 311 0.0047400494 0.0010652504 0.0017577805 0.0013394577 1.705174e-01
## 312 0.0047400494 0.0010652504 0.0017577805 0.0013394577 1.705174e-01
## 313 0.0047400494 0.0010652504 0.0017577805 0.0013394577 1.705174e-01
## 314 0.0047400494 0.0010652504 0.0017577805 0.0013394577 1.705174e-01
## 315 0.0047400494 0.0010652504 0.0017577805 0.0013394577 1.705174e-01
## 316 0.0047400494 0.0010652504 0.0017577805 0.0013394577 1.705174e-01
## 317 0.0851522611 0.0850297383 0.0734949439 0.0629901619 1.172651e-02
## 318 0.0851522611 0.0850297383 0.0734949439 0.0629901619 1.172651e-02
## 319 0.0851522611 0.0850297383 0.0734949439 0.0629901619 1.172651e-02
## 320 0.0230901249 0.0184029994 0.0967865514 0.0330681029 9.334652e-02
## 321 0.0230901249 0.0184029994 0.0967865514 0.0330681029 9.334652e-02
## 322 0.0230901249 0.0184029994 0.0967865514 0.0330681029 9.334652e-02
## 323 0.0230901249 0.0184029994 0.0967865514 0.0330681029 9.334652e-02
## 324 0.2493633514 0.0646901689 0.0360366419 0.0194571182 7.757753e-02
## 325 0.2493633514 0.0646901689 0.0360366419 0.0194571182 7.757753e-02
## 326 0.2493633514 0.0646901689 0.0360366419 0.0194571182 7.757753e-02
## 327 0.2493633514 0.0646901689 0.0360366419 0.0194571182 7.757753e-02
## 328 0.2493633514 0.0646901689 0.0360366419 0.0194571182 7.757753e-02
##            W_PV2        W_PV3        W_PV4 W_SS_Effect LLMWeight_Claude
## 1   0.0011823954 0.0141586832 0.0090260040 0.342493958       0.21355603
## 2   0.0152965362 0.0104586243 0.0225611942 0.328299654       0.20997050
## 3   0.0152965362 0.0104586243 0.0225611942 0.328299654       0.20997050
## 4   0.0152965362 0.0104586243 0.0225611942 0.328299654       0.20997050
## 5   0.0152965362 0.0104586243 0.0225611942 0.328299654       0.20997050
## 6   0.0152965362 0.0104586243 0.0225611942 0.328299654       0.20997050
## 7   0.0004045799 0.0007249126 0.0003040345 0.019513037       0.26838796
## 8   0.0004045799 0.0007249126 0.0003040345 0.019513037       0.26838796
## 9   0.0219093636 0.1482251061 0.0842046966 0.174146108       0.20834181
## 10  0.0219093636 0.1482251061 0.0842046966 0.174146108       0.20834181
## 11  0.0219093636 0.1482251061 0.0842046966 0.174146108       0.20834181
## 12  0.0219093636 0.1482251061 0.0842046966 0.174146108       0.20834181
## 13  0.1714238140 0.0407079021 0.0735476533 0.088509042       0.33453983
## 14  0.1714238140 0.0407079021 0.0735476533 0.088509042       0.33453983
## 15  0.1714238140 0.0407079021 0.0735476533 0.088509042       0.33453983
## 16  0.1714238140 0.0407079021 0.0735476533 0.088509042       0.33453983
## 17  0.1714238140 0.0407079021 0.0735476533 0.088509042       0.33453983
## 18  0.1714238140 0.0407079021 0.0735476533 0.088509042       0.33453983
## 19  0.1173109114 0.0030622315 0.0401445005 0.089997061       0.27112753
## 20  0.1173109114 0.0030622315 0.0401445005 0.089997061       0.27112753
## 21  0.1173109114 0.0030622315 0.0401445005 0.089997061       0.27112753
## 22  0.1173109114 0.0030622315 0.0401445005 0.089997061       0.27112753
## 23  0.1173109114 0.0030622315 0.0401445005 0.089997061       0.27112753
## 24  0.1024071432 0.0769168368 0.0483184028 0.059720186       0.17277250
## 25  0.1024071432 0.0769168368 0.0483184028 0.059720186       0.17277250
## 26  0.0259934025 0.0657912974 0.0299582674 0.071289664       0.31902764
## 27  0.0259934025 0.0657912974 0.0299582674 0.071289664       0.31902764
## 28  0.0259934025 0.0657912974 0.0299582674 0.071289664       0.31902764
## 29  0.0749999159 0.0298688661 0.0802394780 0.011002373       0.19810762
## 30  0.0749999159 0.0298688661 0.0802394780 0.011002373       0.19810762
## 31  0.0749999159 0.0298688661 0.0802394780 0.011002373       0.19810762
## 32  0.0749999159 0.0298688661 0.0802394780 0.011002373       0.19810762
## 33  0.0749999159 0.0298688661 0.0802394780 0.011002373       0.19810762
## 34  0.0686617309 0.0682468859 0.0022263662 0.138469585       0.20442691
## 35  0.0686617309 0.0682468859 0.0022263662 0.138469585       0.20442691
## 36  0.0221005290 0.0507449854 0.0408372791 0.188240469       0.30760590
## 37  0.0221005290 0.0507449854 0.0408372791 0.188240469       0.30760590
## 38  0.0221005290 0.0507449854 0.0408372791 0.188240469       0.30760590
## 39  0.0221005290 0.0507449854 0.0408372791 0.188240469       0.30760590
## 40  0.0221005290 0.0507449854 0.0408372791 0.188240469       0.30760590
## 41  0.0221005290 0.0507449854 0.0408372791 0.188240469       0.30760590
## 42  0.0107273363 0.0410987422 0.0142804314 0.006222927       0.20975083
## 43  0.0107273363 0.0410987422 0.0142804314 0.006222927       0.20975083
## 44  0.0107273363 0.0410987422 0.0142804314 0.006222927       0.20975083
## 45  0.0107273363 0.0410987422 0.0142804314 0.006222927       0.20975083
## 46  0.0107273363 0.0410987422 0.0142804314 0.006222927       0.20975083
## 47  0.0441531572 0.0467453683 0.0590319967 0.125445501       0.21896138
## 48  0.0567602191 0.0415848340 0.0073272722 0.063167582       0.24283129
## 49  0.0567602191 0.0415848340 0.0073272722 0.063167582       0.24283129
## 50  0.0567602191 0.0415848340 0.0073272722 0.063167582       0.24283129
## 51  0.0567602191 0.0415848340 0.0073272722 0.063167582       0.24283129
## 52  0.0567602191 0.0415848340 0.0073272722 0.063167582       0.24283129
## 53  0.0567602191 0.0415848340 0.0073272722 0.063167582       0.24283129
## 54  0.0024972843 0.0075130824 0.0049736994 0.003335792       0.19234537
## 55  0.0024972843 0.0075130824 0.0049736994 0.003335792       0.19234537
## 56  0.0024972843 0.0075130824 0.0049736994 0.003335792       0.19234537
## 57  0.0221286297 0.0003510380 0.0183012349 0.196541137       0.30353797
## 58  0.0221286297 0.0003510380 0.0183012349 0.196541137       0.30353797
## 59  0.0221286297 0.0003510380 0.0183012349 0.196541137       0.30353797
## 60  0.0221286297 0.0003510380 0.0183012349 0.196541137       0.30353797
## 61  0.0221286297 0.0003510380 0.0183012349 0.196541137       0.30353797
## 62  0.0221286297 0.0003510380 0.0183012349 0.196541137       0.30353797
## 63  0.0060766879 0.0516606731 0.0438706813 0.240600508       0.24934053
## 64  0.0060766879 0.0516606731 0.0438706813 0.240600508       0.24934053
## 65  0.0060766879 0.0516606731 0.0438706813 0.240600508       0.24934053
## 66  0.0130248599 0.0061462604 0.0174451081 0.499184842       0.43408172
## 67  0.0130248599 0.0061462604 0.0174451081 0.499184842       0.43408172
## 68  0.0149952028 0.0049062759 0.0128898581 0.169637267       0.37908534
## 69  0.0149952028 0.0049062759 0.0128898581 0.169637267       0.37908534
## 70  0.0464724694 0.0337209235 0.1041044407 0.223644824       0.19326069
## 71  0.0464724694 0.0337209235 0.1041044407 0.223644824       0.19326069
## 72  0.0464724694 0.0337209235 0.1041044407 0.223644824       0.19326069
## 73  0.0464724694 0.0337209235 0.1041044407 0.223644824       0.19326069
## 74  0.0593898604 0.1223811804 0.0203254274 0.199458996       0.19214012
## 75  0.0593898604 0.1223811804 0.0203254274 0.199458996       0.19214012
## 76  0.0496071090 0.0089383597 0.0403609406 0.115434957       0.24544185
## 77  0.0021126323 0.0230278434 0.0349774821 0.053886284       0.07554377
## 78  0.0021126323 0.0230278434 0.0349774821 0.053886284       0.07554377
## 79  0.0021126323 0.0230278434 0.0349774821 0.053886284       0.07554377
## 80  0.0021126323 0.0230278434 0.0349774821 0.053886284       0.07554377
## 81  0.0021126323 0.0230278434 0.0349774821 0.053886284       0.07554377
## 82  0.0060684696 0.0496833576 0.0104738107 0.066206917       0.33193787
## 83  0.0060684696 0.0496833576 0.0104738107 0.066206917       0.33193787
## 84  0.0060684696 0.0496833576 0.0104738107 0.066206917       0.33193787
## 85  0.0060684696 0.0496833576 0.0104738107 0.066206917       0.33193787
## 86  0.0060789798 0.0351608840 0.0173068401 0.030300730       0.18549375
## 87  0.0487195955 0.0563907315 0.0268794376 0.067179157       0.16232739
## 88  0.0487195955 0.0563907315 0.0268794376 0.067179157       0.16232739
## 89  0.0361370956 0.0137399114 0.0420543218 0.083904341       0.42084622
## 90  0.0361370956 0.0137399114 0.0420543218 0.083904341       0.42084622
## 91  0.0603435876 0.0676145202 0.0503269821 0.138388430       0.28241639
## 92  0.0603435876 0.0676145202 0.0503269821 0.138388430       0.28241639
## 93  0.0603435876 0.0676145202 0.0503269821 0.138388430       0.28241639
## 94  0.0118989202 0.0179651501 0.0154263804 0.028194556       0.27127334
## 95  0.0118989202 0.0179651501 0.0154263804 0.028194556       0.27127334
## 96  0.0118989202 0.0179651501 0.0154263804 0.028194556       0.27127334
## 97  0.0118989202 0.0179651501 0.0154263804 0.028194556       0.27127334
## 98  0.0080002166 0.0022348445 0.0028403508 0.011806209       0.29124789
## 99  0.0080002166 0.0022348445 0.0028403508 0.011806209       0.29124789
## 100 0.0080002166 0.0022348445 0.0028403508 0.011806209       0.29124789
## 101 0.0080002166 0.0022348445 0.0028403508 0.011806209       0.29124789
## 102 0.0110817786 0.0122285831 0.0440699688 0.338562376       0.16657537
## 103 0.0142076613 0.0255465467 0.0124544157 0.041359915       0.19447820
## 104 0.0142076613 0.0255465467 0.0124544157 0.041359915       0.19447820
## 105 0.0142076613 0.0255465467 0.0124544157 0.041359915       0.19447820
## 106 0.0003342896 0.0001776863 0.0004157795 0.039604058       0.24243762
## 107 0.0003342896 0.0001776863 0.0004157795 0.039604058       0.24243762
## 108 0.0003342896 0.0001776863 0.0004157795 0.039604058       0.24243762
## 109 0.0013134947 0.0016506287 0.0019257089 0.025478398       0.16162714
## 110 0.0013134947 0.0016506287 0.0019257089 0.025478398       0.16162714
## 111 0.0013134947 0.0016506287 0.0019257089 0.025478398       0.16162714
## 112 0.0013134947 0.0016506287 0.0019257089 0.025478398       0.16162714
## 113 0.0013134947 0.0016506287 0.0019257089 0.025478398       0.16162714
## 114 0.0066881719 0.0091020099 0.0068615867 0.106854033       0.16577311
## 115 0.0066881719 0.0091020099 0.0068615867 0.106854033       0.16577311
## 116 0.0066881719 0.0091020099 0.0068615867 0.106854033       0.16577311
## 117 0.0066881719 0.0091020099 0.0068615867 0.106854033       0.16577311
## 118 0.0504752704 0.0315667224 0.0358473085 0.165451275       0.11940338
## 119 0.0504752704 0.0315667224 0.0358473085 0.165451275       0.11940338
## 120 0.0504752704 0.0315667224 0.0358473085 0.165451275       0.11940338
## 121 0.0504752704 0.0315667224 0.0358473085 0.165451275       0.11940338
## 122 0.0504752704 0.0315667224 0.0358473085 0.165451275       0.11940338
## 123 0.0400874487 0.0013240245 0.0406353533 0.008615979       0.27311951
## 124 0.0009407281 0.0010834423 0.0013385373 0.468576361       0.18563851
## 125 0.0009407281 0.0010834423 0.0013385373 0.468576361       0.18563851
## 126 0.0009407281 0.0010834423 0.0013385373 0.468576361       0.18563851
## 127 0.0009407281 0.0010834423 0.0013385373 0.468576361       0.18563851
## 128 0.0009407281 0.0010834423 0.0013385373 0.468576361       0.18563851
## 129 0.0052416704 0.0093143781 0.0209681386 0.180763863       0.15840541
## 130 0.0019420968 0.0811298124 0.1103413532 0.152202191       0.14411385
## 131 0.0019420968 0.0811298124 0.1103413532 0.152202191       0.14411385
## 132 0.0019420968 0.0811298124 0.1103413532 0.152202191       0.14411385
## 133 0.0019420968 0.0811298124 0.1103413532 0.152202191       0.14411385
## 134 0.0019420968 0.0811298124 0.1103413532 0.152202191       0.14411385
## 135 0.0279643868 0.1056375174 0.0675247030 0.160241601       0.24274171
## 136 0.0279643868 0.1056375174 0.0675247030 0.160241601       0.24274171
## 137 0.0279643868 0.1056375174 0.0675247030 0.160241601       0.24274171
## 138 0.0315628102 0.0659828295 0.0187964441 0.015130701       0.28616878
## 139 0.0016382327 0.0036147558 0.0044067512 0.026912518       0.31036738
## 140 0.0016382327 0.0036147558 0.0044067512 0.026912518       0.31036738
## 141 0.0042091625 0.0623715888 0.1616727232 0.209823661       0.23771204
## 142 0.0042091625 0.0623715888 0.1616727232 0.209823661       0.23771204
## 143 0.0308012435 0.0775205038 0.0171061964 0.379395941       0.19997581
## 144 0.0308012435 0.0775205038 0.0171061964 0.379395941       0.19997581
## 145 0.0308012435 0.0775205038 0.0171061964 0.379395941       0.19997581
## 146 0.0026164225 0.0017840092 0.0009158985 0.017421751       0.21294364
## 147 0.0878536049 0.0206508723 0.0763344424 0.013579291       0.30139293
## 148 0.0878536049 0.0206508723 0.0763344424 0.013579291       0.30139293
## 149 0.0878536049 0.0206508723 0.0763344424 0.013579291       0.30139293
## 150 0.0878536049 0.0206508723 0.0763344424 0.013579291       0.30139293
## 151 0.0020844796 0.0047298586 0.0087388050 0.099294761       0.17148767
## 152 0.0020844796 0.0047298586 0.0087388050 0.099294761       0.17148767
## 153 0.0020844796 0.0047298586 0.0087388050 0.099294761       0.17148767
## 154 0.0020844796 0.0047298586 0.0087388050 0.099294761       0.17148767
## 155 0.0063308801 0.0092144203 0.0164759651 0.289586771       0.33355210
## 156 0.0090183856 0.0392075370 0.0141994278 0.023129853       0.30093696
## 157 0.0090183856 0.0392075370 0.0141994278 0.023129853       0.30093696
## 158 0.0090183856 0.0392075370 0.0141994278 0.023129853       0.30093696
## 159 0.0090183856 0.0392075370 0.0141994278 0.023129853       0.30093696
## 160 0.0090183856 0.0392075370 0.0141994278 0.023129853       0.30093696
## 161 0.0090183856 0.0392075370 0.0141994278 0.023129853       0.30093696
## 162 0.0222930784 0.0224613413 0.0383617071 0.166673314       0.31920442
## 163 0.0222930784 0.0224613413 0.0383617071 0.166673314       0.31920442
## 164 0.0321236931 0.0145362517 0.0037742315 0.529736177       0.25561870
## 165 0.0321236931 0.0145362517 0.0037742315 0.529736177       0.25561870
## 166 0.0707777566 0.0801742136 0.0666140261 0.234705486       0.26189644
## 167 0.0707777566 0.0801742136 0.0666140261 0.234705486       0.26189644
## 168 0.0707777566 0.0801742136 0.0666140261 0.234705486       0.26189644
## 169 0.0707777566 0.0801742136 0.0666140261 0.234705486       0.26189644
## 170 0.0707777566 0.0801742136 0.0666140261 0.234705486       0.26189644
## 171 0.0707777566 0.0801742136 0.0666140261 0.234705486       0.26189644
## 172 0.0005315085 0.0006347845 0.0007074545 0.093510454       0.23004535
## 173 0.0005315085 0.0006347845 0.0007074545 0.093510454       0.23004535
## 174 0.0005315085 0.0006347845 0.0007074545 0.093510454       0.23004535
## 175 0.0138049973 0.0230552728 0.0086295474 0.017109955       0.18830985
## 176 0.0138049973 0.0230552728 0.0086295474 0.017109955       0.18830985
## 177 0.0138049973 0.0230552728 0.0086295474 0.017109955       0.18830985
## 178 0.0542821876 0.0658834004 0.0956682764 0.192511143       0.21413002
## 179 0.0542821876 0.0658834004 0.0956682764 0.192511143       0.21413002
## 180 0.0316824850 0.0428115420 0.0384999280 0.131889600       0.17308715
## 181 0.0316824850 0.0428115420 0.0384999280 0.131889600       0.17308715
## 182 0.0549365181 0.0157891470 0.0277318988 0.097399549       0.36653115
## 183 0.0549365181 0.0157891470 0.0277318988 0.097399549       0.36653115
## 184 0.0159742955 0.0075968980 0.0040340112 0.161378655       0.33385840
## 185 0.0159742955 0.0075968980 0.0040340112 0.161378655       0.33385840
## 186 0.0049203581 0.0309548873 0.0502206949 0.089849107       0.17053250
## 187 0.0049203581 0.0309548873 0.0502206949 0.089849107       0.17053250
## 188 0.0049203581 0.0309548873 0.0502206949 0.089849107       0.17053250
## 189 0.0049203581 0.0309548873 0.0502206949 0.089849107       0.17053250
## 190 0.0049203581 0.0309548873 0.0502206949 0.089849107       0.17053250
## 191 0.0049203581 0.0309548873 0.0502206949 0.089849107       0.17053250
## 192 0.0023422414 0.0034467303 0.0063260439 0.012612820       0.23196706
## 193 0.0023422414 0.0034467303 0.0063260439 0.012612820       0.23196706
## 194 0.0023422414 0.0034467303 0.0063260439 0.012612820       0.23196706
## 195 0.0023422414 0.0034467303 0.0063260439 0.012612820       0.23196706
## 196 0.0023422414 0.0034467303 0.0063260439 0.012612820       0.23196706
## 197 0.0029439770 0.0786582119 0.0417886037 0.271710272       0.09874319
## 198 0.0029439770 0.0786582119 0.0417886037 0.271710272       0.09874319
## 199 0.0071113732 0.0342172392 0.0028307947 0.162250347       0.17265373
## 200 0.0071113732 0.0342172392 0.0028307947 0.162250347       0.17265373
## 201 0.0071113732 0.0342172392 0.0028307947 0.162250347       0.17265373
## 202 0.0071113732 0.0342172392 0.0028307947 0.162250347       0.17265373
## 203 0.1252015747 0.0191155529 0.0774956951 0.013079607       0.29084637
## 204 0.1252015747 0.0191155529 0.0774956951 0.013079607       0.29084637
## 205 0.1252015747 0.0191155529 0.0774956951 0.013079607       0.29084637
## 206 0.1252015747 0.0191155529 0.0774956951 0.013079607       0.29084637
## 207 0.0009421062 0.0001991311 0.0005062397 0.197783853       0.24708477
## 208 0.0009421062 0.0001991311 0.0005062397 0.197783853       0.24708477
## 209 0.0230877771 0.0043927675 0.0338673208 0.004270186       0.18338789
## 210 0.0046055736 0.0057213053 0.0032679687 0.079857266       0.29691315
## 211 0.0046055736 0.0057213053 0.0032679687 0.079857266       0.29691315
## 212 0.0046055736 0.0057213053 0.0032679687 0.079857266       0.29691315
## 213 0.0016624646 0.0171952228 0.0022925109 0.352595212       0.11871148
## 214 0.0016624646 0.0171952228 0.0022925109 0.352595212       0.11871148
## 215 0.0016624646 0.0171952228 0.0022925109 0.352595212       0.11871148
## 216 0.0016624646 0.0171952228 0.0022925109 0.352595212       0.11871148
## 217 0.0700415466 0.0649543883 0.0154496150 0.365590887       0.26674800
## 218 0.0700415466 0.0649543883 0.0154496150 0.365590887       0.26674800
## 219 0.0700415466 0.0649543883 0.0154496150 0.365590887       0.26674800
## 220 0.0755281165 0.0910776577 0.1054991820 0.054737063       0.29116925
## 221 0.0755281165 0.0910776577 0.1054991820 0.054737063       0.29116925
## 222 0.0755281165 0.0910776577 0.1054991820 0.054737063       0.29116925
## 223 0.0755281165 0.0910776577 0.1054991820 0.054737063       0.29116925
## 224 0.0755281165 0.0910776577 0.1054991820 0.054737063       0.29116925
## 225 0.0124187759 0.0065825321 0.0273016680 0.197054573       0.09551801
## 226 0.0124187759 0.0065825321 0.0273016680 0.197054573       0.09551801
## 227 0.0287697028 0.0348081277 0.0202574073 0.045937653       0.24186149
## 228 0.0287697028 0.0348081277 0.0202574073 0.045937653       0.24186149
## 229 0.0287697028 0.0348081277 0.0202574073 0.045937653       0.24186149
## 230 0.0287697028 0.0348081277 0.0202574073 0.045937653       0.24186149
## 231 0.0030752788 0.0068926792 0.0055167891 0.197964848       0.20411335
## 232 0.0030752788 0.0068926792 0.0055167891 0.197964848       0.20411335
## 233 0.0030752788 0.0068926792 0.0055167891 0.197964848       0.20411335
## 234 0.0030752788 0.0068926792 0.0055167891 0.197964848       0.20411335
## 235 0.0128836994 0.0145652102 0.0087110352 0.264401789       0.34054367
## 236 0.0128836994 0.0145652102 0.0087110352 0.264401789       0.34054367
## 237 0.0128836994 0.0145652102 0.0087110352 0.264401789       0.34054367
## 238 0.1501177690 0.0172810326 0.1471917200 0.095882011       0.25383583
## 239 0.1501177690 0.0172810326 0.1471917200 0.095882011       0.25383583
## 240 0.1501177690 0.0172810326 0.1471917200 0.095882011       0.25383583
## 241 0.0183494535 0.0054086083 0.0150707904 0.062624924       0.19942065
## 242 0.0494327263 0.0707806614 0.1171202040 0.078395493       0.24788113
## 243 0.0494327263 0.0707806614 0.1171202040 0.078395493       0.24788113
## 244 0.0494327263 0.0707806614 0.1171202040 0.078395493       0.24788113
## 245 0.0494327263 0.0707806614 0.1171202040 0.078395493       0.24788113
## 246 0.0494327263 0.0707806614 0.1171202040 0.078395493       0.24788113
## 247 0.0057392821 0.0014526758 0.0019036352 0.108972582       0.25469019
## 248 0.0057392821 0.0014526758 0.0019036352 0.108972582       0.25469019
## 249 0.0057392821 0.0014526758 0.0019036352 0.108972582       0.25469019
## 250 0.0249447921 0.0091408012 0.0215535330 0.223251951       0.23577872
## 251 0.0249447921 0.0091408012 0.0215535330 0.223251951       0.23577872
## 252 0.0249447921 0.0091408012 0.0215535330 0.223251951       0.23577872
## 253 0.0249447921 0.0091408012 0.0215535330 0.223251951       0.23577872
## 254 0.2345360335 0.0531944592 0.0564060787 0.023454100       0.38439643
## 255 0.0870861053 0.0545775994 0.0396181305 0.005241079       0.23428285
## 256 0.0870861053 0.0545775994 0.0396181305 0.005241079       0.23428285
## 257 0.0870861053 0.0545775994 0.0396181305 0.005241079       0.23428285
## 258 0.0870861053 0.0545775994 0.0396181305 0.005241079       0.23428285
## 259 0.0870861053 0.0545775994 0.0396181305 0.005241079       0.23428285
## 260 0.0057381014 0.0095982764 0.0106058517 0.141888001       0.34537853
## 261 0.0057381014 0.0095982764 0.0106058517 0.141888001       0.34537853
## 262 0.0926465963 0.0365244579 0.1409849298 0.221976689       0.29208170
## 263 0.0159097723 0.0368708500 0.0001344509 0.013043131       0.20218913
## 264 0.0159097723 0.0368708500 0.0001344509 0.013043131       0.20218913
## 265 0.0159097723 0.0368708500 0.0001344509 0.013043131       0.20218913
## 266 0.0019430306 0.0024767520 0.0012230680 0.056851802       0.29263159
## 267 0.0019430306 0.0024767520 0.0012230680 0.056851802       0.29263159
## 268 0.0019430306 0.0024767520 0.0012230680 0.056851802       0.29263159
## 269 0.0019430306 0.0024767520 0.0012230680 0.056851802       0.29263159
## 270 0.0019430306 0.0024767520 0.0012230680 0.056851802       0.29263159
## 271 0.0019430306 0.0024767520 0.0012230680 0.056851802       0.29263159
## 272 0.0748499419 0.0276644131 0.0099238343 0.145512136       0.36408740
## 273 0.0748499419 0.0276644131 0.0099238343 0.145512136       0.36408740
## 274 0.0106861238 0.0001813461 0.0016352155 0.225791981       0.30614431
## 275 0.0106861238 0.0001813461 0.0016352155 0.225791981       0.30614431
## 276 0.0106861238 0.0001813461 0.0016352155 0.225791981       0.30614431
## 277 0.1137220786 0.0277601743 0.0920584516 0.045133557       0.35829654
## 278 0.1137220786 0.0277601743 0.0920584516 0.045133557       0.35829654
## 279 0.1137220786 0.0277601743 0.0920584516 0.045133557       0.35829654
## 280 0.1137220786 0.0277601743 0.0920584516 0.045133557       0.35829654
## 281 0.1137220786 0.0277601743 0.0920584516 0.045133557       0.35829654
## 282 0.0200377619 0.0087570647 0.0242135859 0.008405057       0.26709596
## 283 0.0200377619 0.0087570647 0.0242135859 0.008405057       0.26709596
## 284 0.0200377619 0.0087570647 0.0242135859 0.008405057       0.26709596
## 285 0.0200377619 0.0087570647 0.0242135859 0.008405057       0.26709596
## 286 0.0200377619 0.0087570647 0.0242135859 0.008405057       0.26709596
## 287 0.0391605551 0.0599092866 0.0971675300 0.140044915       0.16947430
## 288 0.0391605551 0.0599092866 0.0971675300 0.140044915       0.16947430
## 289 0.0205303639 0.0227487964 0.0063509762 0.021827593       0.23579058
## 290 0.0205303639 0.0227487964 0.0063509762 0.021827593       0.23579058
## 291 0.0205303639 0.0227487964 0.0063509762 0.021827593       0.23579058
## 292 0.0205303639 0.0227487964 0.0063509762 0.021827593       0.23579058
## 293 0.0205303639 0.0227487964 0.0063509762 0.021827593       0.23579058
## 294 0.0205303639 0.0227487964 0.0063509762 0.021827593       0.23579058
## 295 0.0159065852 0.1033662969 0.1681742328 0.040545575       0.27447848
## 296 0.0159065852 0.1033662969 0.1681742328 0.040545575       0.27447848
## 297 0.0159065852 0.1033662969 0.1681742328 0.040545575       0.27447848
## 298 0.0325372355 0.0195261739 0.0215364452 0.206917100       0.27613279
## 299 0.0325372355 0.0195261739 0.0215364452 0.206917100       0.27613279
## 300 0.0325372355 0.0195261739 0.0215364452 0.206917100       0.27613279
## 301 0.0782564219 0.0690561935 0.0441397108 0.018159618       0.22557428
## 302 0.0782564219 0.0690561935 0.0441397108 0.018159618       0.22557428
## 303 0.0371000165 0.0702324726 0.1484001723 0.111323177       0.11951542
## 304 0.0371000165 0.0702324726 0.1484001723 0.111323177       0.11951542
## 305 0.0371000165 0.0702324726 0.1484001723 0.111323177       0.11951542
## 306 0.0371000165 0.0702324726 0.1484001723 0.111323177       0.11951542
## 307 0.0371000165 0.0702324726 0.1484001723 0.111323177       0.11951542
## 308 0.0144895561 0.0290937921 0.0680078571 0.020467742       0.18779349
## 309 0.0144895561 0.0290937921 0.0680078571 0.020467742       0.18779349
## 310 0.0144895561 0.0290937921 0.0680078571 0.020467742       0.18779349
## 311 0.0951107871 0.3004638226 0.1207813204 0.053443884       0.18481570
## 312 0.0951107871 0.3004638226 0.1207813204 0.053443884       0.18481570
## 313 0.0951107871 0.3004638226 0.1207813204 0.053443884       0.18481570
## 314 0.0951107871 0.3004638226 0.1207813204 0.053443884       0.18481570
## 315 0.0951107871 0.3004638226 0.1207813204 0.053443884       0.18481570
## 316 0.0951107871 0.3004638226 0.1207813204 0.053443884       0.18481570
## 317 0.0048498711 0.0121956112 0.0369425668 0.075593194       0.36991614
## 318 0.0048498711 0.0121956112 0.0369425668 0.075593194       0.36991614
## 319 0.0048498711 0.0121956112 0.0369425668 0.075593194       0.36991614
## 320 0.0870466324 0.0789628210 0.0209538304 0.039934830       0.31925568
## 321 0.0870466324 0.0789628210 0.0209538304 0.039934830       0.31925568
## 322 0.0870466324 0.0789628210 0.0209538304 0.039934830       0.31925568
## 323 0.0870466324 0.0789628210 0.0209538304 0.039934830       0.31925568
## 324 0.0265981031 0.0241621170 0.0171264635 0.054949316       0.19647112
## 325 0.0265981031 0.0241621170 0.0171264635 0.054949316       0.19647112
## 326 0.0265981031 0.0241621170 0.0171264635 0.054949316       0.19647112
## 327 0.0265981031 0.0241621170 0.0171264635 0.054949316       0.19647112
## 328 0.0265981031 0.0241621170 0.0171264635 0.054949316       0.19647112
##     LLMWeight_Copilot LLMWeight_Gemini LLMWeight_Inara
## 1           0.2840864       0.24026071      0.26209685
## 2           0.2279423       0.41164790      0.15043926
## 3           0.2279423       0.41164790      0.15043926
## 4           0.2279423       0.41164790      0.15043926
## 5           0.2279423       0.41164790      0.15043926
## 6           0.2279423       0.41164790      0.15043926
## 7           0.2274572       0.34995702      0.15419785
## 8           0.2274572       0.34995702      0.15419785
## 9           0.2277987       0.33785083      0.22600861
## 10          0.2277987       0.33785083      0.22600861
## 11          0.2277987       0.33785083      0.22600861
## 12          0.2277987       0.33785083      0.22600861
## 13          0.2258129       0.13513231      0.30451493
## 14          0.2258129       0.13513231      0.30451493
## 15          0.2258129       0.13513231      0.30451493
## 16          0.2258129       0.13513231      0.30451493
## 17          0.2258129       0.13513231      0.30451493
## 18          0.2258129       0.13513231      0.30451493
## 19          0.1879983       0.11738019      0.42349399
## 20          0.1879983       0.11738019      0.42349399
## 21          0.1879983       0.11738019      0.42349399
## 22          0.1879983       0.11738019      0.42349399
## 23          0.1879983       0.11738019      0.42349399
## 24          0.2060658       0.30123980      0.31992192
## 25          0.2060658       0.30123980      0.31992192
## 26          0.2468989       0.22636850      0.20770500
## 27          0.2468989       0.22636850      0.20770500
## 28          0.2468989       0.22636850      0.20770500
## 29          0.2112495       0.37911105      0.21153181
## 30          0.2112495       0.37911105      0.21153181
## 31          0.2112495       0.37911105      0.21153181
## 32          0.2112495       0.37911105      0.21153181
## 33          0.2112495       0.37911105      0.21153181
## 34          0.2888998       0.21777680      0.28889653
## 35          0.2888998       0.21777680      0.28889653
## 36          0.1979131       0.24075994      0.25372108
## 37          0.1979131       0.24075994      0.25372108
## 38          0.1979131       0.24075994      0.25372108
## 39          0.1979131       0.24075994      0.25372108
## 40          0.1979131       0.24075994      0.25372108
## 41          0.1979131       0.24075994      0.25372108
## 42          0.1490820       0.37286406      0.26830309
## 43          0.1490820       0.37286406      0.26830309
## 44          0.1490820       0.37286406      0.26830309
## 45          0.1490820       0.37286406      0.26830309
## 46          0.1490820       0.37286406      0.26830309
## 47          0.2136511       0.32746497      0.23992259
## 48          0.3449073       0.32111943      0.09114199
## 49          0.3449073       0.32111943      0.09114199
## 50          0.3449073       0.32111943      0.09114199
## 51          0.3449073       0.32111943      0.09114199
## 52          0.3449073       0.32111943      0.09114199
## 53          0.3449073       0.32111943      0.09114199
## 54          0.2918401       0.22510396      0.29071057
## 55          0.2918401       0.22510396      0.29071057
## 56          0.2918401       0.22510396      0.29071057
## 57          0.2869932       0.13990934      0.26955945
## 58          0.2869932       0.13990934      0.26955945
## 59          0.2869932       0.13990934      0.26955945
## 60          0.2869932       0.13990934      0.26955945
## 61          0.2869932       0.13990934      0.26955945
## 62          0.2869932       0.13990934      0.26955945
## 63          0.2240520       0.27608819      0.25051924
## 64          0.2240520       0.27608819      0.25051924
## 65          0.2240520       0.27608819      0.25051924
## 66          0.1666097       0.25725328      0.14205530
## 67          0.1666097       0.25725328      0.14205530
## 68          0.1642415       0.23620744      0.22046573
## 69          0.1642415       0.23620744      0.22046573
## 70          0.3899979       0.23982333      0.17691808
## 71          0.3899979       0.23982333      0.17691808
## 72          0.3899979       0.23982333      0.17691808
## 73          0.3899979       0.23982333      0.17691808
## 74          0.1065891       0.41308706      0.28818371
## 75          0.1065891       0.41308706      0.28818371
## 76          0.1240035       0.30927902      0.32127568
## 77          0.4930947       0.16748057      0.26388093
## 78          0.4930947       0.16748057      0.26388093
## 79          0.4930947       0.16748057      0.26388093
## 80          0.4930947       0.16748057      0.26388093
## 81          0.4930947       0.16748057      0.26388093
## 82          0.2758370       0.24159365      0.15063152
## 83          0.2758370       0.24159365      0.15063152
## 84          0.2758370       0.24159365      0.15063152
## 85          0.2758370       0.24159365      0.15063152
## 86          0.3430656       0.28581979      0.18562088
## 87          0.3023496       0.14745160      0.38787141
## 88          0.3023496       0.14745160      0.38787141
## 89          0.2051075       0.24191909      0.13212721
## 90          0.2051075       0.24191909      0.13212721
## 91          0.2678058       0.21330637      0.23647144
## 92          0.2678058       0.21330637      0.23647144
## 93          0.2678058       0.21330637      0.23647144
## 94          0.2008066       0.33319074      0.19472929
## 95          0.2008066       0.33319074      0.19472929
## 96          0.2008066       0.33319074      0.19472929
## 97          0.2008066       0.33319074      0.19472929
## 98          0.2226830       0.18490190      0.30116725
## 99          0.2226830       0.18490190      0.30116725
## 100         0.2226830       0.18490190      0.30116725
## 101         0.2226830       0.18490190      0.30116725
## 102         0.2706220       0.24559139      0.31721129
## 103         0.2645405       0.38225351      0.15872781
## 104         0.2645405       0.38225351      0.15872781
## 105         0.2645405       0.38225351      0.15872781
## 106         0.2462753       0.34643030      0.16485676
## 107         0.2462753       0.34643030      0.16485676
## 108         0.2462753       0.34643030      0.16485676
## 109         0.4729914       0.21464789      0.15073356
## 110         0.4729914       0.21464789      0.15073356
## 111         0.4729914       0.21464789      0.15073356
## 112         0.4729914       0.21464789      0.15073356
## 113         0.4729914       0.21464789      0.15073356
## 114         0.3678537       0.14308486      0.32328834
## 115         0.3678537       0.14308486      0.32328834
## 116         0.3678537       0.14308486      0.32328834
## 117         0.3678537       0.14308486      0.32328834
## 118         0.2770260       0.41796850      0.18560213
## 119         0.2770260       0.41796850      0.18560213
## 120         0.2770260       0.41796850      0.18560213
## 121         0.2770260       0.41796850      0.18560213
## 122         0.2770260       0.41796850      0.18560213
## 123         0.2641311       0.14395285      0.31879654
## 124         0.2904900       0.33590800      0.18796349
## 125         0.2904900       0.33590800      0.18796349
## 126         0.2904900       0.33590800      0.18796349
## 127         0.2904900       0.33590800      0.18796349
## 128         0.2904900       0.33590800      0.18796349
## 129         0.2818246       0.30645598      0.25331404
## 130         0.2745323       0.43627220      0.14508160
## 131         0.2745323       0.43627220      0.14508160
## 132         0.2745323       0.43627220      0.14508160
## 133         0.2745323       0.43627220      0.14508160
## 134         0.2745323       0.43627220      0.14508160
## 135         0.2282027       0.33829125      0.19076432
## 136         0.2282027       0.33829125      0.19076432
## 137         0.2282027       0.33829125      0.19076432
## 138         0.2798388       0.16465249      0.26933990
## 139         0.1860835       0.18522066      0.31832850
## 140         0.1860835       0.18522066      0.31832850
## 141         0.2919974       0.14222516      0.32806542
## 142         0.2919974       0.14222516      0.32806542
## 143         0.2123324       0.35330873      0.23438302
## 144         0.2123324       0.35330873      0.23438302
## 145         0.2123324       0.35330873      0.23438302
## 146         0.2548794       0.30695053      0.22522640
## 147         0.2126046       0.30153164      0.18447082
## 148         0.2126046       0.30153164      0.18447082
## 149         0.2126046       0.30153164      0.18447082
## 150         0.2126046       0.30153164      0.18447082
## 151         0.3410823       0.16320503      0.32422498
## 152         0.3410823       0.16320503      0.32422498
## 153         0.3410823       0.16320503      0.32422498
## 154         0.3410823       0.16320503      0.32422498
## 155         0.1921781       0.16062446      0.31364530
## 156         0.3083944       0.21161449      0.17905411
## 157         0.3083944       0.21161449      0.17905411
## 158         0.3083944       0.21161449      0.17905411
## 159         0.3083944       0.21161449      0.17905411
## 160         0.3083944       0.21161449      0.17905411
## 161         0.3083944       0.21161449      0.17905411
## 162         0.1571884       0.36437918      0.15922802
## 163         0.1571884       0.36437918      0.15922802
## 164         0.2291539       0.23465972      0.28056765
## 165         0.2291539       0.23465972      0.28056765
## 166         0.2496289       0.31330657      0.17516813
## 167         0.2496289       0.31330657      0.17516813
## 168         0.2496289       0.31330657      0.17516813
## 169         0.2496289       0.31330657      0.17516813
## 170         0.2496289       0.31330657      0.17516813
## 171         0.2496289       0.31330657      0.17516813
## 172         0.1470065       0.41355886      0.20938925
## 173         0.1470065       0.41355886      0.20938925
## 174         0.1470065       0.41355886      0.20938925
## 175         0.4357629       0.27936335      0.09656391
## 176         0.4357629       0.27936335      0.09656391
## 177         0.4357629       0.27936335      0.09656391
## 178         0.2688994       0.25387481      0.26309576
## 179         0.2688994       0.25387481      0.26309576
## 180         0.2948777       0.39024050      0.14179469
## 181         0.2948777       0.39024050      0.14179469
## 182         0.2684663       0.14657878      0.21842380
## 183         0.2684663       0.14657878      0.21842380
## 184         0.2232949       0.19503192      0.24781474
## 185         0.2232949       0.19503192      0.24781474
## 186         0.2814778       0.18662878      0.36136090
## 187         0.2814778       0.18662878      0.36136090
## 188         0.2814778       0.18662878      0.36136090
## 189         0.2814778       0.18662878      0.36136090
## 190         0.2814778       0.18662878      0.36136090
## 191         0.2814778       0.18662878      0.36136090
## 192         0.2810717       0.24341021      0.24355102
## 193         0.2810717       0.24341021      0.24355102
## 194         0.2810717       0.24341021      0.24355102
## 195         0.2810717       0.24341021      0.24355102
## 196         0.2810717       0.24341021      0.24355102
## 197         0.2524277       0.34281883      0.30601026
## 198         0.2524277       0.34281883      0.30601026
## 199         0.1051921       0.49015720      0.23199699
## 200         0.1051921       0.49015720      0.23199699
## 201         0.1051921       0.49015720      0.23199699
## 202         0.1051921       0.49015720      0.23199699
## 203         0.3334780       0.18235132      0.19332426
## 204         0.3334780       0.18235132      0.19332426
## 205         0.3334780       0.18235132      0.19332426
## 206         0.3334780       0.18235132      0.19332426
## 207         0.2184483       0.25201893      0.28244805
## 208         0.2184483       0.25201893      0.28244805
## 209         0.2926948       0.36383508      0.16008222
## 210         0.2572519       0.29266619      0.15316875
## 211         0.2572519       0.29266619      0.15316875
## 212         0.2572519       0.29266619      0.15316875
## 213         0.2144499       0.43728848      0.22955009
## 214         0.2144499       0.43728848      0.22955009
## 215         0.2144499       0.43728848      0.22955009
## 216         0.2144499       0.43728848      0.22955009
## 217         0.1790296       0.28673312      0.26748929
## 218         0.1790296       0.28673312      0.26748929
## 219         0.1790296       0.28673312      0.26748929
## 220         0.3318588       0.19268609      0.18428581
## 221         0.3318588       0.19268609      0.18428581
## 222         0.3318588       0.19268609      0.18428581
## 223         0.3318588       0.19268609      0.18428581
## 224         0.3318588       0.19268609      0.18428581
## 225         0.5401655       0.17044407      0.19387243
## 226         0.5401655       0.17044407      0.19387243
## 227         0.2089540       0.31585363      0.23333091
## 228         0.2089540       0.31585363      0.23333091
## 229         0.2089540       0.31585363      0.23333091
## 230         0.2089540       0.31585363      0.23333091
## 231         0.3226604       0.14061440      0.33261184
## 232         0.3226604       0.14061440      0.33261184
## 233         0.3226604       0.14061440      0.33261184
## 234         0.3226604       0.14061440      0.33261184
## 235         0.2614152       0.20239947      0.19564168
## 236         0.2614152       0.20239947      0.19564168
## 237         0.2614152       0.20239947      0.19564168
## 238         0.2688879       0.12481829      0.35245801
## 239         0.2688879       0.12481829      0.35245801
## 240         0.2688879       0.12481829      0.35245801
## 241         0.2730119       0.22594449      0.30162300
## 242         0.2839626       0.33604119      0.13211506
## 243         0.2839626       0.33604119      0.13211506
## 244         0.2839626       0.33604119      0.13211506
## 245         0.2839626       0.33604119      0.13211506
## 246         0.2839626       0.33604119      0.13211506
## 247         0.2406014       0.33483390      0.16987449
## 248         0.2406014       0.33483390      0.16987449
## 249         0.2406014       0.33483390      0.16987449
## 250         0.2135537       0.31671828      0.23394931
## 251         0.2135537       0.31671828      0.23394931
## 252         0.2135537       0.31671828      0.23394931
## 253         0.2135537       0.31671828      0.23394931
## 254         0.1486664       0.15155654      0.31538063
## 255         0.1375063       0.30019319      0.32801770
## 256         0.1375063       0.30019319      0.32801770
## 257         0.1375063       0.30019319      0.32801770
## 258         0.1375063       0.30019319      0.32801770
## 259         0.1375063       0.30019319      0.32801770
## 260         0.1790694       0.20256719      0.27298490
## 261         0.1790694       0.20256719      0.27298490
## 262         0.2518384       0.13999084      0.31608910
## 263         0.3000754       0.36473382      0.13300169
## 264         0.3000754       0.36473382      0.13300169
## 265         0.3000754       0.36473382      0.13300169
## 266         0.1950439       0.16985299      0.34247150
## 267         0.1950439       0.16985299      0.34247150
## 268         0.1950439       0.16985299      0.34247150
## 269         0.1950439       0.16985299      0.34247150
## 270         0.1950439       0.16985299      0.34247150
## 271         0.1950439       0.16985299      0.34247150
## 272         0.2259426       0.22621726      0.18375271
## 273         0.2259426       0.22621726      0.18375271
## 274         0.3006676       0.07247602      0.32071210
## 275         0.3006676       0.07247602      0.32071210
## 276         0.3006676       0.07247602      0.32071210
## 277         0.2836713       0.10026886      0.25776331
## 278         0.2836713       0.10026886      0.25776331
## 279         0.2836713       0.10026886      0.25776331
## 280         0.2836713       0.10026886      0.25776331
## 281         0.2836713       0.10026886      0.25776331
## 282         0.3367881       0.17512028      0.22099565
## 283         0.3367881       0.17512028      0.22099565
## 284         0.3367881       0.17512028      0.22099565
## 285         0.3367881       0.17512028      0.22099565
## 286         0.3367881       0.17512028      0.22099565
## 287         0.3002150       0.26464830      0.26566235
## 288         0.3002150       0.26464830      0.26566235
## 289         0.1662348       0.23296229      0.36501229
## 290         0.1662348       0.23296229      0.36501229
## 291         0.1662348       0.23296229      0.36501229
## 292         0.1662348       0.23296229      0.36501229
## 293         0.1662348       0.23296229      0.36501229
## 294         0.1662348       0.23296229      0.36501229
## 295         0.2651796       0.27111495      0.18922694
## 296         0.2651796       0.27111495      0.18922694
## 297         0.2651796       0.27111495      0.18922694
## 298         0.1770500       0.26545525      0.28136198
## 299         0.1770500       0.26545525      0.28136198
## 300         0.1770500       0.26545525      0.28136198
## 301         0.1576897       0.21620050      0.40053553
## 302         0.1576897       0.21620050      0.40053553
## 303         0.3128274       0.13006939      0.43758783
## 304         0.3128274       0.13006939      0.43758783
## 305         0.3128274       0.13006939      0.43758783
## 306         0.3128274       0.13006939      0.43758783
## 307         0.3128274       0.13006939      0.43758783
## 308         0.2753718       0.19916068      0.33767408
## 309         0.2753718       0.19916068      0.33767408
## 310         0.2753718       0.19916068      0.33767408
## 311         0.1736504       0.41497243      0.22656148
## 312         0.1736504       0.41497243      0.22656148
## 313         0.1736504       0.41497243      0.22656148
## 314         0.1736504       0.41497243      0.22656148
## 315         0.1736504       0.41497243      0.22656148
## 316         0.1736504       0.41497243      0.22656148
## 317         0.2183330       0.18440206      0.22734879
## 318         0.2183330       0.18440206      0.22734879
## 319         0.2183330       0.18440206      0.22734879
## 320         0.1171281       0.31302625      0.25059000
## 321         0.1171281       0.31302625      0.25059000
## 322         0.1171281       0.31302625      0.25059000
## 323         0.1171281       0.31302625      0.25059000
## 324         0.1705583       0.18337709      0.44959354
## 325         0.1705583       0.18337709      0.44959354
## 326         0.1705583       0.18337709      0.44959354
## 327         0.1705583       0.18337709      0.44959354
## 328         0.1705583       0.18337709      0.44959354

12 Convergence Analysis

library(tidyr)
library(purrr)

# Step 1: Create a binary matrix (Runs × COAs) for each Nmax
congruence_scores <- all_runs %>%
  distinct() %>%
  group_by(MaxCOAs, Run) %>%
  summarise(COA_Set = list(unique(COA_ID)), .groups = "drop") %>%
  group_by(MaxCOAs) %>%
  summarise(
    Congruence = {
      runs <- COA_Set
      n <- length(runs)
      if (n < 2) return(NA_real_)

      # Compute pairwise Jaccard similarities
      scores <- combn(n, 2, function(idx) {
        a <- runs[[idx[1]]]
        b <- runs[[idx[2]]]
        intersect_len <- length(intersect(a, b))
        union_len <- length(union(a, b))
        if (union_len == 0) return(NA_real_) else return(intersect_len / union_len)
      })

      mean(scores, na.rm = TRUE)
    },
    NumRuns = n()
  )

# Print congruence results
print(congruence_scores)
## # A tibble: 6 × 3
##   MaxCOAs Congruence NumRuns
##     <int>      <dbl>   <int>
## 1       1      1          14
## 2       2      1          23
## 3       3      1          21
## 4       4      1          15
## 5       5      0.853      17
## 6       6      0.849      10
# Optional: Save for further analysis
write.csv(congruence_scores, "congruence_by_nmax.csv", row.names = FALSE)