Visualizing uncertainty

class: center, middle, inverse, title-slide

# Visualizing uncertainty
### Daniel Anderson
### Week 6, Class 2

---

layout: true

---
class: inverse-red middle
# Reviewing Homework 1

---
class: inverse-blue
# Data viz in the wild

Raleigh

Maggie

### Ann-Marie and Murat on Deck

---

# Agenda 
* Common ways of visualizing uncertainty
  + And how to implement them with {ggplot2}

--
* Framing uncertainty as relative frequencies
  + Discrete probabilities
  + Non-discrete probabilities
    + Understanding AUC calculations
--
* Understanding standard errors
  + Non-standard ways of visualizing SEs

--
* HOPs (briefly)
  + Also bootstrapping

---
# Learning objectives
1. Understand there are lots of different ways to visualize uncertainty, and the best method may often be non-standard.

2. Understand how to implement basic methods, and the resources available to you to implement more advanced methods

---
# The primary problem
* When we see a point on a plot, we interpret it as .bolder[THE] value.

![](w6p2_files/figure-html/loc_point-1.png)

---
# Let's have Dr. Kay explain

---
# Some secondary problem
* We're not great at understanding probabilities
* We regularly round probabilities to 100% or 0%
* As probabilities move to the tails, we're generally worse

---
# How do we typically communicate uncertainty?
* Error bars

![](w6p2_files/figure-html/error_bars-1.png)

---
# How?
### Vertical error bars
`geom_errorbar` 
* Requires `ymin` and `ymax` aesthetics
* You have to supply these - no calculation for you

--
### Horizontal error bars
`geom_errorbarh`
* Requires `xmin` and `xmax`

---
# Example

```r
mpg_by_man <- mpg %>%
  group_by(manufacturer) %>%
  summarize(mean_cty = mean(cty),
            se_cty = sd(cty)/sqrt(n()))

head(mpg_by_man)
```

```
## # A tibble: 6 x 3
##   manufacturer mean_cty    se_cty
##   <chr>           <dbl>     <dbl>
## 1 audi         17.61111 0.4653967
## 2 chevrolet    15       0.6710383
## 3 dodge        13.13514 0.4085464
## 4 ford         14       0.3829708
## 5 honda        24.44444 0.6478835
## 6 hyundai      18.64286 0.4006470
```

---

```r
mpg_by_man %>% 
  mutate(manufacturer = fct_reorder(manufacturer, mean_cty)) %>% 
  ggplot(aes(manufacturer, mean_cty)) +
  geom_errorbar(aes(ymin = mean_cty + qnorm(0.025)*se_cty, 
                    ymax = mean_cty + qnorm(0.975)*se_cty))
```

![](w6p2_files/figure-html/mpg_plot1-1.png)

---
# Put points on top 
### Not under

![](w6p2_files/figure-html/mpg_plot2-1.png)

---

```r
mpg_by_man %>% 
  mutate(manufacturer = fct_reorder(manufacturer, mean_cty)) %>% 
  ggplot(aes(mean_cty, manufacturer)) +
  geom_errorbarh(aes(xmin = mean_cty - 1.96*se_cty, 
                     xmax = mean_cty + 1.96*se_cty),
                color = "gray40") +
   geom_point()
```

![](w6p2_files/figure-html/mpg_plot3-1.png)

---
# Dodging

```r
props <- mpg %>%
  count(drv, year) %>%
  mutate(prop = n/sum(n), 
         prop_se = sqrt((prop*(1-prop)) / n))

head(props)
```

```
## # A tibble: 6 x 5
##   drv    year     n       prop    prop_se
##   <chr> <int> <int>      <dbl>      <dbl>
## 1 4      1999    49 0.2094017  0.05812594
## 2 4      2008    54 0.2307692  0.05733508
## 3 f      1999    57 0.2435897  0.05685528
## 4 f      2008    49 0.2094017  0.05812594
## 5 r      1999    11 0.04700855 0.06381703
## 6 r      2008    14 0.05982906 0.06338631
```

---

```r
ggplot(props, aes(drv, prop)) +
  geom_col(aes(fill = factor(year)), position = "dodge")
```

![](w6p2_files/figure-html/props_plot1-1.png)

---

```r
ggplot(props, aes(drv, prop)) +
  geom_col(aes(fill = factor(year)), position = "dodge") +
  geom_errorbar(aes(ymin = prop - 1.96*prop_se, 
                    ymax = prop + 1.96*prop_se),
                color = "gray40")
```

![](w6p2_files/figure-html/props_plot2-1.png)

---

```r
*pd <- position_dodge(.9)
ggplot(props, aes(drv, prop)) +
* geom_col(aes(fill = factor(year)), position = pd) +
  geom_errorbar(aes(ymin = prop - 1.96*prop_se, 
                    ymax = prop + 1.96*prop_se),
                color = "gray40",
*               position = pd)
```

![](w6p2_files/figure-html/props_plot3-1.png)

---

```r
pd <- position_dodge(.9)
ggplot(props, aes(drv, prop)) +
  geom_col(aes(fill = factor(year)), position = pd) +
  geom_errorbar(aes(ymin = prop - 1.96*prop_se, 
                    ymax = prop + 1.96*prop_se,
*                   group = year),
                color = "gray40",
                position = pd)
```

![](w6p2_files/figure-html/props_plot4-1.png)

---

```r
pd <- position_dodge(.9)
ggplot(props, aes(drv, prop)) +
  geom_col(aes(fill = factor(year)), position = pd) +
* geom_errorbar(aes(ymin = ifelse(prop - 1.96*prop_se < 0,
*                                 0,
*                                 prop - 1.96*prop_se),
                    ymax = prop + 1.96*prop_se,
                    group = year),
                color = "gray40",
                position = pd,
*               width = 0.5,
*               size = 1.4)
```

---
![](w6p2_files/figure-html/props_plot5-eval-1.png)

---
# Thinking about uncertainty
Uncertainty means exactly what it sounds like - we are not 100% sure.

* We are nearly always uncertain of future events (forecasting)
* We can also be uncertain about past events 
  + I saw a parked car at 8 AM, but the next time I looked at 2PM it was gone. What time did it leave?

--
### Quantifying uncertainty
* We quantify our uncertainty mathematically using probability
* Framing probabilities as frequencies is generally more intuitive

---
class: inverse-blue center middle
# Framing a single uncertainty

---
background-image:url("https://serialmentor.com/dataviz/visualizing_uncertainty_files/figure-html/probability-waffle-1.png")
background-size:contain

---
# How do we make these?
* Start out by making a grid

```r
grid <- expand.grid(x = 1:20, y = 1:20)
head(grid)
```

```
##   x y
## 1 1 1
## 2 2 1
## 3 3 1
## 4 4 1
## 5 5 1
## 6 6 1
```

```r
tail(grid)
```

```
##      x  y
## 395 15 20
## 396 16 20
## 397 17 20
## 398 18 20
## 399 19 20
## 400 20 20
```

---
# Look at the grid

```r
ggplot(grid, aes(x, y)) +
  geom_tile(color = "gray40",
            fill = "white") +
  theme_void()
```

![](w6p2_files/figure-html/see-grid-1.png)

---
# Create occurrence rate
* For each sequence of `x`, create a variable that has the given occurence rate

--
### How?

--
* Plenty of options, here's one

---
# Consider 10%

```r
nrow(grid)*.10 # n to sample
```

```
## [1] 40
```

```r
set.seed(86753098)
samp <- sample(seq_len(nrow(grid)), nrow(grid)*.10)
head(samp)
```

```
## [1] 318 134 180 283 177 248
```

```r
length(samp)
```

```
## [1] 40
```

---
# Create the variable

```r
grid <- grid %>% 
  rownames_to_column("row_id") %>% 
  mutate(event = ifelse(row_id %in% samp, "Yes", "No"))
head(grid)
```

```
##   row_id x y event
## 1      1 1 1    No
## 2      2 2 1    No
## 3      3 3 1    No
## 4      4 4 1    No
## 5      5 5 1   Yes
## 6      6 6 1    No
```

---
# Fill in

```r
ggplot(grid, aes(x, y)) +
  geom_tile(aes(fill = event), color = "white") +
  theme_void()
```

![](w6p2_files/figure-html/theatre1-1.png)

---
# Customize

```r
library(colorspace)
ggplot(grid, aes(x, y)) +
  geom_tile(aes(fill = event), color = "white", size = 1.4) +
  scale_fill_manual(
    name = "Event Occurred",
    values = c(
      desaturate(
        lighten("#1694E8", 0.5), 
        0.7), 
      "#1694E8"
      )
    ) +
  coord_fixed() +
  theme_void() +
  theme(legend.position = c(0.75, 0),
        legend.direction = "horizontal",
        plot.margin = margin(b = 1, unit = "cm"))
```

---
![](w6p2_files/figure-html/theatre2-eval-1.png)

---
# Chance of rain

![](w6p2_files/figure-html/rain1-1.png)

---
# Vary grid size
### 10 x 10
![](w6p2_files/figure-html/rain2-1.png)

---
# Vary grid size
### 20 x 20

![](w6p2_files/figure-html/grid-size20-1.png)

---
# Vary grid size
### 30 x 30

![](w6p2_files/figure-html/grid-size30-1.png)

(probs too many)

---
class: inverse-red center middle
# Non-discrete probabilities

---
# Hypothetical
Blue party has 1% advantage w/ margin of error of 1.76 points

### Who will win?

![](w6p2_files/figure-html/pdf-1.png)

---
# A bit of math
Our prior distribution was defined by `$\mu = 1.02$` and `$sd = 0.9$`.

--
* What's the chance the end result is below zero?

---
# The hard way
Calculate the exact probability of data below zero under this distribution

```r
x <- seq(-5, 5, 0.001)
likelihood <- dnorm(x, 1.02, 0.9)
sim <- data.frame(x, likelihood)
ggplot(sim, aes(x, likelihood)) +
  geom_line(size = 1.2)
```

![](w6p2_files/figure-html/dnorm-1.png)

---
# How do we calculate this portion?

![](w6p2_files/figure-html/auc-1.png)

---
# Integrate

```r
zab <- filter(sim, x <= 0)
pracma::trapz(zab$x, zab$likelihood)
```

```
## [1] 0.1285372
```

---
# Easier: Simulate

```r
random_draws <- rnorm(1e5, 1.02, 0.9)
table(random_draws > 0) / 1e5
```

```
## 
##   FALSE    TRUE 
## 0.12968 0.87032
```

---
# Discretized plot

```r
ppoints(50)
```

```
##  [1] 0.01 0.03 0.05 0.07 0.09 0.11 0.13 0.15 0.17 0.19 0.21 0.23 0.25 0.27 0.29
## [16] 0.31 0.33 0.35 0.37 0.39 0.41 0.43 0.45 0.47 0.49 0.51 0.53 0.55 0.57 0.59
## [31] 0.61 0.63 0.65 0.67 0.69 0.71 0.73 0.75 0.77 0.79 0.81 0.83 0.85 0.87 0.89
## [46] 0.91 0.93 0.95 0.97 0.99
```

```r
qnorm(ppoints(50), 1.02, 0.9)
```

```
##  [1] -1.073713087 -0.672714247 -0.460368264 -0.308211925 -0.186679530
##  [6] -0.083875308  0.006247984  0.087209949  0.161251272  0.229893334
## [11]  0.294220878  0.355037836  0.412959225  0.468468308  0.521953752
## [16]  0.573734687  0.624078151  0.673211580  0.721331988  0.768612869
## [21]  0.815209521  0.861263252  0.906904788  0.952257124  0.997437983
## [26]  1.042562017  1.087742876  1.133095212  1.178736748  1.224790479
## [31]  1.271387131  1.318668012  1.366788420  1.415921849  1.466265313
## [36]  1.518046248  1.571531692  1.627040775  1.684962164  1.745779122
## [41]  1.810106666  1.878748728  1.952790051  2.033752016  2.123875308
## [46]  2.226679530  2.348211925  2.500368264  2.712714247  3.113713087
```

---

```r
discretized <- data.frame(
  x = qnorm(ppoints(50), 1.02, 0.9)
  ) %>% 
  mutate(winner = ifelse(x <= 0, "#b1daf4", "#f8f1a9"))

head(discretized) 
```

```
##             x  winner
## 1 -1.07371309 #b1daf4
## 2 -0.67271425 #b1daf4
## 3 -0.46036826 #b1daf4
## 4 -0.30821193 #b1daf4
## 5 -0.18667953 #b1daf4
## 6 -0.08387531 #b1daf4
```

```r
tail(discretized)
```

```
##           x  winner
## 45 2.123875 #f8f1a9
## 46 2.226680 #f8f1a9
## 47 2.348212 #f8f1a9
## 48 2.500368 #f8f1a9
## 49 2.712714 #f8f1a9
## 50 3.113713 #f8f1a9
```

---

```r
ggplot(discretized, aes(x)) +
  geom_dotplot()
```

![](w6p2_files/figure-html/dotplot1-1.png)

---

```r
ggplot(discretized, aes(x)) +
  geom_dotplot(aes(fill = winner))
```

![](w6p2_files/figure-html/dotplot2-1.png)

---

```r
ggplot(discretized, aes(x)) +
  geom_dotplot(aes(fill = winner), binwidth = 0.35)
```

![](w6p2_files/figure-html/dotplot3-1.png)

---

```r
ggplot(discretized, aes(x)) +
  geom_dotplot(aes(fill = winner), binwidth = 0.35) +
  geom_vline(xintercept = 0, 
             color = "gray40", 
             linetype = "dashed", 
             size = 1.5)
```

![](w6p2_files/figure-html/dotplot4-1.png)

---

```r
ggplot(discretized, aes(x)) +
  geom_dotplot(aes(fill = winner), binwidth = 0.26) +
  geom_vline(xintercept = 0, 
             color = "gray40", 
             linetype = 2, 
             size = 3) +
  scale_fill_identity(guide = "none") +
  scale_y_continuous(name = "", 
                     breaks = NULL)
```

![](w6p2_files/figure-html/dotplot5-1.png)

---
# Probs too many though

```r
discretized2 <- data.frame(
  x = qnorm(ppoints(20), 1.02, 0.9)
  ) %>% 
  mutate(winner = ifelse(x <= 0, "#b1daf4", "#f8f1a9"))

ggplot(discretized2, aes(x)) +
  geom_dotplot(aes(fill = winner), binwidth = 0.4) +
  geom_vline(
    xintercept = 0.1, 
    color = "gray40", 
    linetype = 2, 
    size = 1.4) +
  scale_fill_identity(guide = "none") +
  scale_x_continuous(
    name = "",
    limits = c(-1, 3),
    labels = scales::percent_format(scale = 1)
  ) +
  theme_dviz_open(20, font_family = "Roboto Light") +
  scale_y_continuous(breaks = NULL,
                     name = "") +
  labs(caption = "Each ball represents 5% probability")
```

---
![](w6p2_files/figure-html/descritized2-eval-1.png)
---
class: inverse-red center middle
# Uncertainty of point estimates

---
# Quick review (hopefully a review)

* What is a standard error?

--
* Standard deviation of the sampling distribution

* What is the sampling distribution?

--
* Samples from the underlying, population-based, generative distribution

* What does this mean, exactly?

--
* Let's simulate to explore

---
# Simulation

* Imagine the "real" distribution has `$\mu = 100$` and `$\sigma = 10$`.

--
* Let's draw a sample of 10 from this distribution

```r
set.seed(123)
samp10a <- rnorm(n = 10, mean = 100, sd = 10)
samp10a
```

```
##  [1]  94.39524  97.69823 115.58708 100.70508 101.29288 117.15065 104.60916
##  [8]  87.34939  93.13147  95.54338
```

--
* Calculate the mean

```r
mean(samp10a)
```

```
## [1] 100.7463
```

---
# Do it a second time

```r
samp10b <- rnorm(n = 10, mean = 100, sd = 10)
samp10b
```

```
##  [1] 112.24082 103.59814 104.00771 101.10683  94.44159 117.86913 104.97850
##  [8]  80.33383 107.01356  95.27209
```

```r
mean(samp10b)
```

```
## [1] 102.0862
```

---
# Do it a bunch of times

```r
samples <- replicate(1000, rnorm(10, mean = 100, sd = 10),
                     simplify = FALSE)
samples
```

```
## [[1]]
##  [1]  89.32176  97.82025  89.73996  92.71109  93.74961  83.13307 108.37787
##  [8] 101.53373  88.61863 112.53815
## 
## [[2]]
##  [1] 104.26464  97.04929 108.95126 108.78133 108.21581 106.88640 105.53918
##  [8]  99.38088  96.94037  96.19529
## 
## [[3]]
##  [1]  93.05293  97.92083  87.34604 121.68956 112.07962  88.76891  95.97115
##  [8]  95.33345 107.79965  99.16631
## 
## [[4]]
##  [1] 102.53319  99.71453  99.57130 113.68602  97.74229 115.16471  84.51247
##  [8] 105.84614 101.23854 102.15942
## 
## [[5]]
##  [1] 103.79639  94.97677  96.66793  89.81425  89.28209 103.03529 104.48210
##  [8] 100.53004 109.22267 120.50085
## 
## [[6]]
##  [1]  95.08969  76.90831 110.05739  92.90799  93.11991 110.25571  97.15227
##  [8]  87.79282 101.81303  98.61109
## 
## [[7]]
##  [1] 100.05764 103.85280  96.29340 106.44377  97.79513 103.31782 110.96839
##  [8] 104.35181  96.74068 111.48808
## 
## [[8]]
##  [1] 109.93504 105.48397 102.38732  93.72094 113.60652  93.99740 121.87333
##  [8] 115.32611  97.64300  89.73579
## 
## [[9]]
##  [1]  92.89593 102.56884  97.53308  96.52457  90.48381  99.54972  92.15096
##  [8]  83.32058  96.19773 109.18997
## 
## [[10]]
##  [1]  94.24653 106.07964  83.82117  99.44438 105.19407 103.01153 101.05676
##  [8]  93.59294  91.50296  89.75871
## 
## [[11]]
##  [1] 101.17647  90.52525  95.09443  97.43908 118.43862  93.48050 102.35387
##  [8] 100.77961  90.38143  99.28692
## 
## [[12]]
##  [1] 114.44551 104.51504 100.41233  95.77503  79.46753 111.31337  85.39360
##  [8] 107.39948 119.09104  85.56107
## 
## [[13]]
##  [1] 107.01784  97.37803  84.27856  84.85332  83.98464  94.69093  85.38244
##  [8] 106.87917 121.00109  87.12970
## 
## [[14]]
##  [1] 107.87739 107.69042 103.32203  89.91623  98.80547  97.19605 105.62990
##  [8]  96.27561 109.76973  96.25419
## 
## [[15]]
##  [1] 110.52711  89.50823  87.39845 132.41040  95.83142 102.98228 106.36570
##  [8]  95.16219 105.16862 103.68965
## 
## [[16]]
##  [1]  97.84619 100.65293  99.65933 121.28452  92.58664  89.04004 100.37788
##  [8] 103.10481 104.36523  95.41635
## 
## [[17]]
##  [1]  89.36674 112.63185  96.50350  91.34487  97.63720  98.02824 111.09920
##  [8] 100.84737 107.54054  95.00708
## 
## [[18]]
##  [1] 102.14445  96.75314 100.94584  91.04637  86.89198 119.97213 106.00709
##  [8]  87.48729  93.88834  88.14520
## 
## [[19]]
##  [1] 121.98810 113.12413  97.34855 105.43194  95.85660  95.23753  92.11397
##  [8]  94.05383 116.50907  99.45972
## 
## [[20]]
##  [1] 101.19245 102.43687 112.32476  94.83936  90.07493 116.75697  95.58837
##  [8]  92.76934  87.63727  87.15284
## 
## [[21]]
##  [1]  94.26027 106.17986 111.09848 107.07588  96.36343 100.59750  92.95404
##  [8]  92.82782 108.84650  89.84407
## 
## [[22]]
##  [1] 119.55294  99.09680 102.14539  92.61472  94.25611  86.82984  98.17075
##  [8] 104.18982 103.24304  92.18464
## 
## [[23]]
##  [1]  92.11378  94.97801 114.96061  88.62696  98.20948 119.02362  98.99025
##  [8]  86.40159  93.35231 104.85460
## 
## [[24]]
##  [1]  96.24397  94.38124  96.56083 100.90497 115.98509  99.11435 110.80799
##  [8] 106.30754  98.86360  84.67098
## 
## [[25]]
##  [1]  94.78883  95.10130 100.47154 113.00199 122.93079 115.47581  98.66849
##  [8]  82.43473  96.11220 100.89207
## 
## [[26]]
##  [1] 108.45013 109.62528 106.84309  86.04726 108.49643  95.53443 101.74803
##  [8] 100.74551 104.28167 100.24675
## 
## [[27]]
##  [1]  83.32525 107.36496 103.86027  97.34348 101.18145 101.34039 102.21019
##  [8] 116.40846  97.80950 101.68065
## 
## [[28]]
##  [1] 111.68384 110.54181 111.45263  94.22532 120.02483 100.66701 118.66852
##  [8]  86.49097 100.20984 112.49915
## 
## [[29]]
##  [1]  92.84758  92.47311  90.61461  89.47487  95.62840 103.31179  79.85790
##  [8] 102.11980 112.36675 120.37574
## 
## [[30]]
##  [1] 113.01176 107.56775  82.73270  93.98493  96.47954 107.03524  98.94329
##  [8]  87.41351 116.84436 109.11391
## 
## [[31]]
##  [1] 102.37430 112.18109  86.61226 106.60820  94.77088 106.83746  99.39178
##  [8] 106.32961 113.35518 100.07290
## 
## [[32]]
##  [1] 110.17559  88.11566  92.78396 115.19218 103.77388  79.47777  86.35963
##  [8]  97.99219 108.65779  98.98117
## 
## [[33]]
##  [1] 106.24187 109.59005 116.71055 100.56017  99.48018  82.46763 100.99328
##  [8]  94.28150  90.25990  98.20094
## 
## [[34]]
##  [1] 110.14943  80.07252  95.72721 101.16637  91.06792 103.33903 104.11430
##  [8]  99.66964  75.34102 125.71458
## 
## [[35]]
##  [1]  97.94701 106.51193 102.73766 110.24673 108.17659  97.90207 103.78168
##  [8]  90.54591 108.56923  95.38962
## 
## [[36]]
##  [1] 124.16773  83.48951  95.36013 108.25380 105.10133  94.10519  90.03219
##  [8] 101.44476  99.85693  82.09719
## 
## [[37]]
##  [1] 100.34551 101.90230 101.74726  89.44983 104.76133 113.78570 104.56236
##  [8]  88.64412  95.64355 103.46104
## 
## [[38]]
##  [1]  93.52954  78.42354 108.84251  91.70522  94.26440 115.03901  92.25855
##  [8] 108.45732  87.39317  96.45458
## 
## [[39]]
##  [1]  99.26444  88.31349  93.65252  99.71158 106.70696  83.49453  96.50246
##  [8] 107.56406  94.61191 102.27292
## 
## [[40]]
##  [1] 104.92229 102.67835 106.53258  98.77291  95.86323  73.56851  99.07059
##  [8] 104.30285 105.35399  94.44722
## 
## [[41]]
##  [1] 117.79503 102.86424 101.26316 112.72267  92.81534  95.49661 123.97452
##  [8] 100.11129 116.33568  85.61493
## 
## [[42]]
##  [1]  98.09483 103.78424 103.00039  89.94364 100.19259  89.22579 107.12703
##  [8] 110.84775  77.75012 112.35693
## 
## [[43]]
##  [1]  87.58956 104.54769 106.59903  98.00110  93.54886 101.65321 104.38819
##  [8] 108.83303  79.47663  83.63621
## 
## [[44]]
##  [1] 114.30402 110.46629 104.35289 107.15178 109.17175  73.39077 111.10277
##  [8]  95.15012 102.30617  97.04842
## 
## [[45]]
##  [1] 108.71965  96.51528 105.18504  96.09315  89.07213 112.10011 107.40900
##  [8] 117.24262 100.65154 111.25003
## 
## [[46]]
##  [1] 119.75419  97.18518  86.77049  97.60648  97.85959 101.51681 117.12305
##  [8]  96.73856 103.73005  97.72316
## 
## [[47]]
##  [1] 100.20451 103.14058 113.28215 101.21318 107.12842 107.78860 109.14773
##  [8]  94.25605 116.26881  96.19043
## 
## [[48]]
##  [1]  98.94216 114.04050 112.94084  89.10008  91.26929  86.41921 101.81847
##  [8] 101.64841 103.64115 105.52158
## 
## [[49]]
##  [1]  93.98107  90.06301 110.26785 107.51061  84.90833  99.04853  91.04052
##  [8]  79.29249 101.50120  99.20788
## 
## [[50]]
##  [1]  99.02631 102.16153 108.82465 102.05598  93.83564  92.65201  98.68197
##  [8] 103.10017  89.60320  98.15691
## 
## [[51]]
##  [1] 109.67267  98.91720  93.01579  97.24055 111.14649 105.50044 112.36676
##  [8] 101.39098 104.10275  94.41543
## 
## [[52]]
##  [1] 106.05371  94.93666  85.79434 101.27993 119.45851 108.00914 111.65253
##  [8] 103.58856  93.91443  97.97759
## 
## [[53]]
##  [1]  97.26752  95.31300 107.04167  88.02636 108.66366 108.64152  88.01378
##  [8] 106.39492 124.30227  94.42785
## 
## [[54]]
##  [1] 108.44904  92.17798 111.10711 102.49825 116.51915  85.41029  99.48702
##  [8]  94.73075  98.02735  93.70421
## 
## [[55]]
##  [1]  91.66156 105.78722  89.12419 114.84031  88.13793 101.01079 105.32989
##  [8] 105.86735  96.98253 100.79502
## 
## [[56]]
##  [1] 109.61264  85.43534  92.18260 103.20402  95.55218 113.70004 106.73254
##  [8] 100.72167  84.92243 100.26100
## 
## [[57]]
##  [1]  96.83584  98.97653  88.18441 104.98658  89.61044  97.73778 103.81426
##  [8]  92.16484 105.82991  86.83490
## 
## [[58]]
##  [1]  71.90225 104.64968 108.40540  97.14155 105.04126  88.44083  98.72851
##  [8]  80.58482 111.81181 118.59911
## 
## [[59]]
##  [1] 110.74012  99.72653  99.66670  84.83932 107.90385  97.89266  93.43257
##  [8]  85.87974  97.00238  91.50939
## 
## [[60]]
##  [1]  96.02969  87.82400 116.87589  99.83997 110.74945  73.98300  95.46802
##  [8]  93.24518  87.77074 115.46609
## 
## [[61]]
##  [1]  85.84718 103.18390 108.46436 101.78190  91.24745 109.41166 101.70588
##  [8]  89.36502  86.11951 120.86717
## 
## [[62]]
##  [1]  93.21497  81.44428 105.33259 103.10230  86.46166  80.57044  98.83697
##  [8] 111.39396 106.36124  95.07063
## 
## [[63]]
##  [1]  91.65812 102.71067 101.57353 106.29712  96.04202 108.99354  91.69188
##  [8]  96.69455 107.40815 109.89972
## 
## [[64]]
##  [1]  80.61495 101.07190 106.08779  85.49176 104.80626  91.71826 110.20253
##  [8] 105.38482 107.69052 101.20719
## 
## [[65]]
##  [1] 108.63648 113.80515 119.66248  99.71605  77.50949 100.31526 102.05561
##  [8]  98.44655 105.68289 110.10678
## 
## [[66]]
##  [1]  94.82018  97.05905 103.97842  94.49776 100.91267  80.38292  88.80100
##  [8]  86.72245  91.46376  93.06695
## 
## [[67]]
##  [1] 103.82305 109.82113  92.72616  90.03161  89.58311  95.85411  97.60971
##  [8] 104.83618  96.78675  79.21511
## 
## [[68]]
##  [1]  99.08566 111.87187 111.91601  92.11037  84.52223 124.58060  98.37578
##  [8]  99.02549 104.20574  83.85961
## 
## [[69]]
##  [1]  92.71781  84.59558  93.06905 101.18849  86.35291 105.89983 102.89344
##  [8]  90.95785 102.26325 107.48081
## 
## [[70]]
##  [1] 110.61095  97.87152  99.06363  99.13286 114.41462 111.25072 108.34402
##  [8]  97.12659 103.73241 104.03290
## 
## [[71]]
##  [1]  89.58327  82.71695 106.41830  84.70689 100.01684 102.50248 105.63867
##  [8] 101.89426  92.67146 109.86366
## 
## [[72]]
##  [1] 117.38634 108.81179  80.56349 113.99576  99.43944 105.24914 106.22033
##  [8]  99.03314  99.24737 110.19157
## 
## [[73]]
##  [1] 107.11602 109.90262 123.82927 106.64416 102.07381  77.89367 126.91714
##  [8]  95.17323 123.74735 103.74644
## 
## [[74]]
##  [1] 115.38430  98.90290 105.11471 102.13958  98.13879  98.79606 110.12834
##  [8]  97.98542  79.62318  98.04111
## 
## [[75]]
##  [1] 105.39791 106.16456 106.16568  83.07898 103.68742 109.67859 112.76579
##  [8]  97.75039  96.78107 114.87838
## 
## [[76]]
##  [1]  83.32072  95.63170 104.57462  83.82226 102.79628 118.77864  99.95939
##  [8]  97.21546 104.74912  97.20928
## 
## [[77]]
##  [1] 108.13400 109.04435 100.02692  88.23308  86.81779  94.07003 107.97381
##  [8]  80.41795  81.13675  93.46220
## 
## [[78]]
##  [1] 103.94395  90.86434 108.86749 103.33370  98.29360 108.18828 103.88365
##  [8]  95.54065 102.31115 106.47513
## 
## [[79]]
##  [1] 103.56283  93.41990 108.55202 111.52936 102.76275 101.44105  99.24375
##  [8] 121.61416 102.76316  98.41706
## 
## [[80]]
##  [1]  74.92082  84.34718  99.22327 102.06294 102.76872 108.21507  98.05848
##  [8] 112.14589  90.78484  87.91557
## 
## [[81]]
##  [1]  87.71014 107.42297  99.17080 107.89818  97.32294  94.08108  96.31647
##  [8]  81.47383  88.30385  85.57965
## 
## [[82]]
##  [1] 110.54322  94.02670 107.89460 115.16491  98.08225 102.83879  82.48932
##  [8]  91.81330 100.56215 102.99087
## 
## [[83]]
##  [1]  92.40602 126.84859  95.41610 100.64244 106.49792  99.73981  93.56433
##  [8] 110.45306 116.15545  99.70306
## 
## [[84]]
##  [1] 105.62267  99.02588 110.16455  88.43833 123.20860  93.96469  85.41151
##  [8]  96.49082 101.46708 116.23621
## 
## [[85]]
##  [1] 109.11210 101.42458  86.10516  91.33962  98.36715 125.53026  81.39772
##  [8] 111.31055  94.72766 116.65991
## 
## [[86]]
##  [1]  88.60799 101.43623  89.00449 109.03516 114.83779 119.50721 107.97601
##  [8] 118.43266 112.46424  98.68125
## 
## [[87]]
##  [1] 104.77037  90.28006  98.14798 112.20964 105.41284 104.57357  89.61869
##  [8]  93.95487  92.35394 103.95296
## 
## [[88]]
##  [1]  90.09492 105.62041  88.83584 118.28530 104.60591  92.98996 102.41046
##  [8]  96.47547 103.71148 102.43533
## 
## [[89]]
##  [1]  89.85886  92.08686 102.99594 116.39052 110.84617  93.75433 108.25923
##  [8]  99.51432 103.01314 102.60361
## 
## [[90]]
##  [1] 125.75450  88.14711 101.00920  82.20023 105.89836 110.96608 114.45662
##  [8]  80.74855 104.12769 115.93370
## 
## [[91]]
##  [1]  95.85984  97.87849  99.63463 103.65019 106.65160 113.17821  99.04512
##  [8] 101.96278 124.87998 104.31099
## 
## [[92]]
##  [1] 101.88753  86.57757 100.02856  97.78674  99.88954  94.24582  93.13184
##  [8]  92.79226  97.85495 113.68133
## 
## [[93]]
##  [1] 110.49087  96.40025  83.14084  91.55417  95.42239 101.03638  93.37393
##  [8] 120.06681  97.27732  87.86056
## 
## [[94]]
##  [1]  98.58738  89.94622 101.56156 102.33634 103.55588  83.78142 102.20711
##  [8] 103.10450  85.78892 109.55366
## 
## [[95]]
##  [1] 107.84171 122.99619 101.56703 100.46734 100.96586 100.69766  81.51527
##  [8]  83.28873  99.22461  94.18933
## 
## [[96]]
##  [1] 100.54737  78.88792  85.01302  88.98517 109.86058  89.01510  92.00486
##  [8] 100.79874  96.77254 101.46417
## 
## [[97]]
##  [1] 123.05062  88.75396  96.94530  94.83241 115.12395  92.30515  99.17913
##  [8] 107.87134  89.41409 116.55176
## 
## [[98]]
##  [1] 106.75762  89.25793 104.54578  97.86693 103.13229  99.10025 110.70516
##  [8]  86.48900  94.77383  97.50809
## 
## [[99]]
##  [1]  90.04201  89.60045  99.82020  98.67825  74.50657 110.40573 102.49726
##  [8] 124.16207 106.85198  95.53041
## 
## [[100]]
##  [1] 127.97391 128.32226  87.81288 104.69032  97.88753 101.87051 102.27543
##  [8]  87.38100 102.85590 117.49247
## 
## [[101]]
##  [1]  98.35910  98.37073 113.98572 108.98396  83.51505 102.28557 116.53547
##  [8] 114.15276 104.19952 107.21221
## 
## [[102]]
##  [1]  88.03065 103.00132  90.45551  95.41982 109.35604  88.63107 102.66918
##  [8] 104.28332 100.54912 118.22189
## 
## [[103]]
##  [1]  89.77653 106.06130  99.11069  97.39168 104.64091  89.79599  86.86549
##  [8]  95.05519 117.51757 100.55765
## 
## [[104]]
##  [1] 103.31434  98.10153 104.70493  90.48320 111.57910 105.84705  91.93547
##  [8] 100.54553 107.16332 105.57731
## 
## [[105]]
##  [1] 114.81934  93.87012 111.16137 110.36548  98.37517  90.24073  89.10855
##  [8] 104.57787  99.28873 117.79103
## 
## [[106]]
##  [1] 105.35138  96.28055  89.74458  94.17598 103.42888  95.49065 105.14230
##  [8]  96.65662  98.94440  92.69490
## 
## [[107]]
##  [1] 119.05044 103.32622 102.30634  83.08138 106.59792  89.76376  91.08478
##  [8] 109.18341  95.47299  82.51628
## 
## [[108]]
##  [1] 117.69904  76.22593 105.72812 110.17249  93.69032 104.44287 104.39130
##  [8] 110.40623 104.84099  97.55116
## 
## [[109]]
##  [1] 109.15992 108.00622  90.63431  85.99213 101.60278  97.26038  90.14461
##  [8] 100.83931  86.80003 101.61226
## 
## [[110]]
##  [1]  93.75072 109.57164 124.24489  90.84021 110.57664 108.25150  99.29806
##  [8]  95.46354 115.75308  79.94542
## 
## [[111]]
##  [1]  93.56805  85.63157 113.95313  98.09297  94.75329 131.84044  99.49963
##  [8]  95.56251 102.99865  84.31575
## 
## [[112]]
##  [1] 104.90303  99.03837 104.68525  90.17629  89.77016  93.06585  92.32010
##  [8] 112.99050 115.79146  98.43108
## 
## [[113]]
##  [1]  96.41063  96.70961 100.69236 100.96904 102.90034  92.53321  91.53104
##  [8] 111.97078  94.51373 103.03046
## 
## [[114]]
##  [1]  99.43029  90.42151 105.91062 101.73105 113.99783 101.17460  96.68454
##  [8] 102.78295  88.14408  91.64106
## 
## [[115]]
##  [1] 105.10273  96.66879  99.34039  98.84778  93.49487  79.81311 103.48835
##  [8] 107.61640  87.11284 114.82403
## 
## [[116]]
##  [1] 103.85155 113.41640  90.42830 101.66781  98.99986 107.68507  94.24140
##  [8]  99.89902  82.21341  92.22379
## 
## [[117]]
##  [1] 101.25034  92.93679  99.56431  95.32074 106.06930 111.68488  91.77499
##  [8]  96.92963 114.39761  78.01077
## 
## [[118]]
##  [1]  96.80162 120.64704 121.93590 101.56595  91.36391 101.65457  93.47226
##  [8] 114.52817  91.93517 103.72912
## 
## [[119]]
##  [1] 106.19850  92.42490 108.51525  92.52070 106.30240 110.96662  90.11557
##  [8] 111.07995  95.10467 102.94353
## 
## [[120]]
##  [1] 102.01837  95.72804 102.68103  87.69569  98.63863 108.25791  78.25875
##  [8]  85.12074  88.38062  84.10910
## 
## [[121]]
##  [1] 104.19583  90.07072  78.35453  93.62431  96.09365 108.56785  88.96248
##  [8] 111.61289 103.98363 103.62352
## 
## [[122]]
##  [1]  91.47474 119.53668  98.35729  81.75102  97.96144  80.65556  96.89490
##  [8]  95.77773 106.81830 110.09496
## 
## [[123]]
##  [1]  92.73895 108.06109 114.24323  92.15856  93.47596 106.50778 101.83048
##  [8] 105.48775 114.04684 103.87083
## 
## [[124]]
##  [1] 110.51701 106.22905 104.33620 103.86084 112.91323  89.97740  88.94817
##  [8] 105.91946  98.80310 100.74005
## 
## [[125]]
##  [1] 107.41277 107.53295  97.37329  96.87456 100.73599 110.63018 104.26020
##  [8] 114.33008  99.92363 111.25668
## 
## [[126]]
##  [1] 108.83002 106.12083 104.14701  97.20118  98.90962 102.29395 100.48889
##  [8] 109.43224  98.90683  99.29623
## 
## [[127]]
##  [1] 95.15681 98.61664 99.31234 76.86264 86.35168 99.27513 97.34716 87.99131
##  [9] 80.08462 96.45631
## 
## [[128]]
##  [1] 106.53496 117.73239  99.61543 114.93185 100.83022 101.15532 103.24825
##  [8]  91.29423  99.48282 109.08448
## 
## [[129]]
##  [1]  92.50274  96.78394  88.52229 103.54352 104.24800 106.48347  87.80190
##  [8] 101.07235  90.55942  99.99615
## 
## [[130]]
##  [1] 113.42624  94.96475 107.16683  92.50331  95.21472 104.38722  93.20888
##  [8]  82.97035 112.65168 103.60357
## 
## [[131]]
##  [1]  94.16361  80.05921 119.02210 133.90371 102.07480 108.49807 112.24560
##  [8]  92.98196  96.48804  82.72879
## 
## [[132]]
##  [1]  92.63422 106.22410  97.09284  97.85788  98.87440  81.36333 108.37630
##  [8]  85.56507  97.91430  95.61437
## 
## [[133]]
##  [1]  97.81406 114.59966  94.17940  92.16902  84.80346  91.94302  88.33815
##  [8] 104.07946  91.36996 103.04042
## 
## [[134]]
##  [1]  98.53573  85.66438  92.09392 108.85112 109.03076 120.05573  99.96420
##  [8]  85.04173  92.31583 104.08489
## 
## [[135]]
##  [1] 119.00136 101.10009 111.40387 107.68081  88.31908  98.28887 113.05262
##  [8] 108.76096 104.63796 104.77114
## 
## [[136]]
##  [1]  95.08595  86.80615 112.95426  85.79781  90.61104 106.28965  87.37805
##  [8]  94.48130  88.17200 106.20664
## 
## [[137]]
##  [1] 104.46313 104.21885 104.42465 105.57246 106.39356  80.31338  98.51184
##  [8] 101.12464 107.24676  88.12514
## 
## [[138]]
##  [1]  95.00400  89.26357 110.57240 112.79073 107.87677  87.77597 104.51952
##  [8] 111.50449 101.67941  94.33891
## 
## [[139]]
##  [1]  89.13882  93.34697 107.14848  95.68339 102.27615 112.94946 105.78335
##  [8] 113.64673  82.98420  97.19324
## 
## [[140]]
##  [1] 100.65068 105.78589  88.30793 108.06185 103.07390 102.63806 105.08485
##  [8]  98.83642 109.25546 106.48230
## 
## [[141]]
##  [1]  98.49791 110.40377 102.92559 106.68751  94.05822 115.80432  99.96011
##  [8] 108.47843  98.99883  97.20370
## 
## [[142]]
##  [1] 107.84438  84.15383 104.78366 103.93566  73.04671 103.68377  78.31582
##  [8] 106.59804  95.46086  93.05063
## 
## [[143]]
##  [1]  99.93154 113.73052  93.64677 105.58103 103.41158  88.20481  82.58978
##  [8]  80.07414 105.51274  99.65258
## 
## [[144]]
##  [1] 118.50572 105.73675 108.49696 113.34384  94.99281 105.10098 108.68793
##  [8] 113.69352 107.62651 104.21147
## 
## [[145]]
##  [1]  91.31776 107.29560 105.00266 106.34250 104.23645  97.98162  99.23134
##  [8] 106.87364 101.71632  91.69891
## 
## [[146]]
##  [1]  97.09841  86.80874  90.32968  98.55389  82.01867  83.11458 111.02565
##  [8]  94.23381  81.48308  98.87137
## 
## [[147]]
##  [1] 113.21069 106.62254 104.41383 111.83746  92.28499 107.29689  94.12914
##  [8] 100.00764 122.14465 109.69434
## 
## [[148]]
##  [1] 107.68008  88.91672  92.13764 122.84116  89.06699 102.14479 108.92571
##  [8] 110.18758 110.89112  98.36871
## 
## [[149]]
##  [1]  91.79013  96.92743  90.97902 106.27069 111.20355 121.27214 103.66114
##  [8]  91.25219 110.24475 109.04759
## 
## [[150]]
##  [1]  97.61751  84.42145 107.61310 111.29144  97.04892 105.36243  97.24110
##  [8] 106.82315  98.82709  96.55324
## 
## [[151]]
##  [1] 101.11620  97.16595  94.08983  96.84063  99.91848 102.07495 115.32424
##  [8]  86.42002  98.00381 106.31523
## 
## [[152]]
##  [1] 117.62021 104.26014  99.86247  96.92443 104.14308 109.89058  98.16142
##  [8] 101.63761 102.16936 107.29278
## 
## [[153]]
##  [1] 111.11380 102.79161  99.23829 113.94663 101.64534 115.77852  99.38077
##  [8] 106.13923  84.53911  98.87608
## 
## [[154]]
##  [1]  99.78205  92.41655  89.64107 109.48159 109.14159  87.01268 104.24379
##  [8]  88.87455  89.48927 105.25412
## 
## [[155]]
##  [1]  93.13976 109.93480 100.38524 105.36149  94.76373  88.48779 109.14752
##  [8] 102.38071  97.60932 100.69235
## 
## [[156]]
##  [1] 113.25908  93.01833  92.50592  93.80385  84.15009 108.19628 101.92370
##  [8] 102.07172  99.56653  94.89840
## 
## [[157]]
##  [1]  91.76581 108.51856  85.73815 104.40299  92.07388 102.82310  92.59309
##  [8]  94.76658 117.69366 106.68283
## 
## [[158]]
##  [1]  78.55103 101.26412  95.48187  88.63374 102.09786 101.29966  96.71493
##  [8] 119.72704  77.51310 108.38219
## 
## [[159]]
##  [1]  97.10977 106.56513  95.46002  94.06135  82.89620  97.90552 124.78746
##  [8] 109.89702 116.75572 109.14965
## 
## [[160]]
##  [1] 111.44263 109.02876 104.75392  94.17471  94.67065  83.99160  99.94182
##  [8] 108.99356 110.31923 100.95133
## 
## [[161]]
##  [1]  94.52372 132.90517 107.36686 114.20575  96.62319  99.62042 104.48607
##  [8] 116.76522  96.88525 108.53616
## 
## [[162]]
##  [1]  79.05185  94.92746  87.07991 111.13363  98.35547  96.09626 113.69100
##  [8] 111.16273  91.01979 104.27866
## 
## [[163]]
##  [1]  87.71555  95.24385 116.16578 114.50128 111.09019  94.29096  81.18569
##  [8]  88.24302 109.52557  97.09432
## 
## [[164]]
##  [1]  78.37392  98.19813 114.10239 106.43469  91.78741  84.54083  91.73453
##  [8] 100.34528 108.88074  80.60060
## 
## [[165]]
##  [1] 110.23202 100.05458 105.69779  83.46744  93.33346  95.51766 110.43891
##  [8] 110.28174 104.35090 116.04212
## 
## [[166]]
##  [1]  94.84589 110.12537  99.64060  93.32658 109.23380 113.81100 108.78250
##  [8]  94.90597  95.30212 113.77676
## 
## [[167]]
##  [1] 103.52826 108.29574  96.61298 112.61035  91.91245 106.25352  91.82825
##  [8]  75.37425  86.57042 101.36295
## 
## [[168]]
##  [1] 108.82923  82.48698  87.48576 117.64546  95.66101 105.05700  94.73065
##  [8]  97.01417 100.87244 100.10962
## 
## [[169]]
##  [1]  98.07440  95.30204  69.52139 118.68656 117.90424  88.98918  98.31892
##  [8] 113.75275 109.98290 112.76602
## 
## [[170]]
##  [1]  89.28253 125.77268  88.66540 107.53916 101.41276  95.96290  96.20584
##  [8]  90.08603 116.22660 100.89513
## 
## [[171]]
##  [1] 102.59218 102.09633  96.24829  88.65979 102.53726  79.06361  85.81433
##  [8]  89.23603  89.21321 101.07189
## 
## [[172]]
##  [1] 115.98488  84.84676 104.33676 108.99545  90.10468  99.47201 108.23611
##  [8]  97.44491  97.79316 103.07727
## 
## [[173]]
##  [1]  99.39987  94.44347  98.61385 118.82840 108.73669  90.85403  87.55082
##  [8]  96.40018 113.28775 102.92679
## 
## [[174]]
##  [1]  92.98495 108.82235  98.66630  88.79322 104.61192 115.24143 104.34468
##  [8] 101.92000  93.43757 105.68399
## 
## [[175]]
##  [1]  89.29429  83.46851  99.56647  99.65406 123.65056  87.83653 101.70906
##  [8] 108.05053 110.50593  99.89276
## 
## [[176]]
##  [1]  92.56744  99.34216 119.39756 104.82739  79.55523 114.23459 105.40503
##  [8]  99.66428  99.82136  98.50210
## 
## [[177]]
##  [1] 102.56559  94.96133 102.77011  90.68644 102.00147 111.06837 105.09206
##  [8] 110.33750  89.09131 100.54793
## 
## [[178]]
##  [1] 106.17250  89.31995 115.65814  89.65192 101.64519 101.51832 101.21670
##  [8]  97.89575 104.49937  89.68836
## 
## [[179]]
##  [1]  87.10636  93.45431  99.42676 112.56748 115.87454 103.19481 103.81592
##  [8]  97.56355 100.48053  85.95454
## 
## [[180]]
##  [1] 102.89934  94.64446 103.34679  96.54019  93.38384  97.80889  96.33095
##  [8] 110.94578 102.09208 104.32491
## 
## [[181]]
##  [1]  87.59146 114.96822 101.59370  91.43719 103.09047 108.70434  86.16323
##  [8] 116.90107  98.41969 111.21171
## 
## [[182]]
##  [1] 100.72261  96.67577  81.65080  88.99828  99.58660 108.27853  81.18321
##  [8] 113.75441 113.98990  88.56684
## 
## [[183]]
##  [1] 104.72301  89.66361  98.74800 109.28663 108.68340  91.50825  96.13364
##  [8]  90.23836 103.39544  84.40925
## 
## [[184]]
##  [1]  73.70675 114.69812 122.73473  95.44966 107.61102  99.92497 114.74314
##  [8] 105.54144 102.03664  82.00864
## 
## [[185]]
##  [1] 110.82956  96.49146  85.96510  97.98203  98.73222 110.59207  88.32604
##  [8]  94.42356 114.88120 113.58666
## 
## [[186]]
##  [1] 111.63215 116.61524 102.04031  94.18116 105.55204 110.58723 124.13633
##  [8]  80.35018 102.73236 106.54795
## 
## [[187]]
##  [1]  99.45401  84.42178 107.41501  92.20914 105.05861 109.07552 112.83957
##  [8]  84.42136 110.81742  92.43019
## 
## [[188]]
##  [1]  87.10981 113.14321 111.46260  97.57417 107.59541  91.39674  98.48968
##  [8]  99.06277  97.19260 107.34099
## 
## [[189]]
##  [1] 115.37328  95.44229  99.67342 116.36757  96.70958  73.95962 105.13984
##  [8]  91.13532  90.01462 114.20817
## 
## [[190]]
##  [1] 124.47998  89.60217 110.31025  99.05852 101.41807 112.22237 102.13675
##  [8]  91.48635  95.29591 106.86135
## 
## [[191]]
##  [1]  76.64053 110.95244  84.32850 100.21931  98.09641 112.93069 101.88849
##  [8] 101.01939 106.98136  91.72985
## 
## [[192]]
##  [1]  98.04101 111.77584 106.83474  87.24503 106.37956  86.22410  94.01689
##  [8] 112.10920  77.48955  82.20986
## 
## [[193]]
##  [1] 113.01373  91.85207 112.43707  98.31750 104.27776 108.13279  93.48788
##  [8]  96.95409  95.84903 128.16084
## 
## [[194]]
##  [1] 101.26147 104.72800  96.59246  97.58209 113.78755  96.61116 100.20136
##  [8] 103.76962  95.68276 119.59064
## 
## [[195]]
##  [1]  85.71540 120.11293  96.48408 113.57120  80.00823 109.56081 108.76431
##  [8]  87.28783  92.31676 101.93525
## 
## [[196]]
##  [1] 111.43835  92.34001  97.75874 115.71347  88.72653 109.47794 104.48768
##  [8]  88.94185  93.32132 107.83278
## 
## [[197]]
##  [1] 102.48959 114.25098  93.98216  82.85512 110.47827  93.91378 101.20341
##  [8] 117.19042  97.49586 115.49555
## 
## [[198]]
##  [1]  89.02860 109.25511 102.46799  92.63228  87.19991 100.76644 102.55165
##  [8] 102.77447 105.36856  95.39514
## 
## [[199]]
##  [1]  94.88396 102.36938  94.58411 112.19228 101.74136  93.84732  81.93107
##  [8]  93.56319 120.46019  94.39238
## 
## [[200]]
##  [1]  91.64001 106.52948 104.41293 107.51629  97.22025 111.22654  88.27391
##  [8]  99.51123  92.95860 106.80759
## 
## [[201]]
##  [1] 101.30007 111.09708 120.58501 101.40656  94.65383  91.76483  97.36966
##  [8]  99.30398 119.91802  88.70890
## 
## [[202]]
##  [1]  89.06783  95.92033 105.87559 108.21112  90.92065 101.27039  99.57107
##  [8] 111.95206 110.89192  96.87719
## 
## [[203]]
##  [1] 100.45994 106.52723  83.46507  96.89729 105.74873  94.76768  99.40082
##  [8]  99.78992  92.76347  90.05520
## 
## [[204]]
##  [1]  98.00133  96.52972 108.34095 115.29882  99.88078 103.98672  99.29585
##  [8] 106.01360 102.18495 102.36596
## 
## [[205]]
##  [1] 111.12915  90.12579 114.47864 103.49112 101.80822  94.39758  98.36122
##  [8] 103.73685  79.36286  93.98478
## 
## [[206]]
##  [1] 105.85992  97.05518  91.99472  93.64305 102.35749  83.65168 108.71229
##  [8]  78.31065  94.96660  92.12818
## 
## [[207]]
##  [1]  87.51400  89.22093 102.50077  98.80226  96.99147  76.79236  86.75679
##  [8]  98.68693  91.21965  92.03231
## 
## [[208]]
##  [1] 110.49541 101.75588  89.56155  95.31304  97.15097  93.19705  90.35946
##  [8]  99.48196 107.41195 102.26852
## 
## [[209]]
##  [1]  97.99853 103.87820 107.93918  98.59486 104.55805  88.54427  97.50349
##  [8]  95.79702 101.95665 103.57320
## 
## [[210]]
##  [1]  98.76382  92.33786  90.70286 102.78521 113.56837  92.12864  96.15201
##  [8] 103.30681  94.45380 101.21572
## 
## [[211]]
##  [1]  99.52404  92.23748 108.31441 108.46308 110.24140 112.67997  94.93638
##  [8]  95.35518 102.61218 106.30081
## 
## [[212]]
##  [1]  96.60374  95.76655  93.81728 114.82202  74.91834  98.32422 100.38213
##  [8]  89.40390 103.85426  80.32912
## 
## [[213]]
##  [1] 109.54969  83.36639  77.97265  92.36436 101.62080  93.48433  94.40713
##  [8] 103.33205  89.41099  99.14150
## 
## [[214]]
##  [1] 104.97933 116.33990 104.79452 117.14763 104.53160  99.96759  77.43465
##  [8]  87.75341  96.81037 107.12270
## 
## [[215]]
##  [1]  96.77486 105.43649  89.36189  97.25870 102.17006  96.40614 101.12832
##  [8]  93.29252 103.74345  99.18945
## 
## [[216]]
##  [1]  99.52951  80.51213  93.26331  85.10356  83.94282  95.06117  98.39202
##  [8] 102.83600 110.91263 104.44400
## 
## [[217]]
##  [1] 110.12070  94.73690  96.92160 110.85169 100.01207  83.19755  91.53444
##  [8] 110.07592  93.89263 103.33444
## 
## [[218]]
##  [1] 100.14223  95.03642  96.49214 103.91721 102.09579 112.34670  98.00180
##  [8]  90.76792 101.65903 107.05335
## 
## [[219]]
##  [1] 122.81967  95.36317  96.73646 108.82493 112.81286  93.41318 106.64570
##  [8]  94.34842  90.37822 106.23361
## 
## [[220]]
##  [1] 101.06498 103.89331  94.19497 117.94978 106.65288  96.25598 107.02749
##  [8]  87.85486  98.62250 114.03358
## 
## [[221]]
##  [1]  98.11161 109.10490  97.78078  77.01974  91.19787 102.22736 114.46553
##  [8]  94.06598 102.75979  90.35181
## 
## [[222]]
##  [1]  89.83544  92.22683 113.69062 109.40310 105.93665 111.15463  95.75575
##  [8] 107.59577 102.09629  89.50899
## 
## [[223]]
##  [1]  91.68938 100.50053 102.05630  96.78642  90.03509  79.09108 104.25235
##  [8]  97.04728 105.49161  84.54108
## 
## [[224]]
##  [1]  87.46664  98.88668  85.87186  80.17046 107.83595 109.00869  89.70036
##  [8]  97.27943  88.66027 103.16427
## 
## [[225]]
##  [1]  99.70322  91.30540  92.25782  89.37919 104.36374 105.71009 103.76475
##  [8]  91.57110  82.13830 105.30876
## 
## [[226]]
##  [1]  98.22941  99.60608 110.32128  91.06484 111.44015  95.86809  92.86812
##  [8]  97.94254 103.90020  97.92784
## 
## [[227]]
##  [1]  90.99493  97.18376  74.58069  94.91488 104.55966  98.30740 106.88328
##  [8] 104.85982 106.45647 106.56045
## 
## [[228]]
##  [1]  82.61419 100.04160 116.30067  95.19515 104.52802 101.43394 105.57012
##  [8]  97.27970  93.51701 100.71961
## 
## [[229]]
##  [1] 102.07815  98.14668 100.31441 104.11352  92.23816 111.39678 122.00760
##  [8] 114.77205  95.45582  81.77113
## 
## [[230]]
##  [1] 100.54198 108.80273 107.78107  87.70253  88.86851 101.33745 106.26081
##  [8] 108.72932 108.16392  90.32025
## 
## [[231]]
##  [1]  86.87395  79.87480 105.04933 108.28112 103.35851  89.40876 115.67717
##  [8]  96.29853 117.79038 105.51402
## 
## [[232]]
##  [1] 111.90311 103.30602  99.35348  89.87452  94.41486  99.52892 102.82074
##  [8]  99.66781  98.22028 101.83486
## 
## [[233]]
##  [1]  94.75628  94.64063  85.44295 108.46271 100.46932  99.16376  92.59081
##  [8]  97.52226  89.13217  89.50703
## 
## [[234]]
##  [1]  80.81048 109.81699 101.25964  88.83224 111.63787 106.24592 107.42382
##  [8]  97.74229  95.77128  99.01947
## 
## [[235]]
##  [1] 104.04691 107.99915 115.89469  94.90930  89.84435 101.00859 130.22104
##  [8]  95.71384 111.45681  97.56902
## 
## [[236]]
##  [1]  95.21457  92.89583  97.88755 116.41784 103.01847 104.87329 108.38736
##  [8] 120.71742 107.75619  85.72889
## 
## [[237]]
##  [1]  89.66489  84.10545  71.51453 112.90734  95.06276 103.94971 111.81618
##  [8]  94.88167  98.65032 103.50256
## 
## [[238]]
##  [1] 102.25879  92.25685 107.30816 105.45636  97.11551  87.77619 106.33334
##  [8] 114.27520 113.80517 108.72635
## 
## [[239]]
##  [1]  95.16865  94.68653  94.12315  95.88302 107.09186 102.56397  81.43639
##  [8]  81.39412  99.77166 101.49939
## 
## [[240]]
##  [1]  76.92526  91.83553 100.27561 114.61786  79.87131  87.44556  89.19693
##  [8] 101.75396 103.30839  96.79311
## 
## [[241]]
##  [1]  83.87671  93.69448  94.39514  97.97419 116.22885  93.23229 100.76264
##  [8]  92.94602  87.59772 106.35948
## 
## [[242]]
##  [1]  89.49371 127.35209 100.92563 100.60254  99.33455 118.43646 106.63927
##  [8]  97.49009  88.33810  89.61272
## 
## [[243]]
##  [1]  92.15011 112.14948  98.11018  92.42801 107.92059 113.45180  93.05469
##  [8]  95.55067 103.45284  99.95156
## 
## [[244]]
##  [1] 104.06366 117.14199  99.39613  97.19298 104.85414  99.50655 106.27765
##  [8]  97.76029 104.43523  84.36259
## 
## [[245]]
##  [1] 100.13904  94.83784  88.09457  95.86931 103.71995 100.92343 106.93484
##  [8] 109.40899 108.28464  96.75511
## 
## [[246]]
##  [1]  86.71844  97.19665 111.69655  98.78524  83.62708 104.91383 102.81819
##  [8]  95.99397 101.73362 113.69388
## 
## [[247]]
##  [1] 112.99196  95.43703 100.10665  85.45911  92.72247 120.08240 114.98010
##  [8]  97.70745  93.07535  86.33377
## 
## [[248]]
##  [1] 121.26052 101.14630  94.06051 110.78067  89.00414 107.26564 114.40870
##  [8]  97.89830 114.51281 106.41551
## 
## [[249]]
##  [1]  93.21192 105.74313  92.95485  94.66016 107.74385  95.24379  99.75573
##  [8] 110.19008  87.94420 115.95294
## 
## [[250]]
##  [1] 120.41955 106.14481 104.21931  95.03578 104.90961  94.98018 102.88170
##  [8]  93.13374 107.88404 106.91369
## 
## [[251]]
##  [1] 112.42999 119.82210  93.53558 109.66189  85.72733  95.42516 109.45467
##  [8]  92.61611 103.45641  90.99555
## 
## [[252]]
##  [1]  96.29649  99.59203  93.87681  80.54148 102.43096 104.74900 101.36715
##  [8]  95.11252 109.00204 110.77536
## 
## [[253]]
##  [1]  76.26329 111.24575  82.20452  96.55450  88.90827  93.69894 113.16884
##  [8] 105.34513 104.93898  79.22008
## 
## [[254]]
##  [1] 101.96325 106.28803 108.60947  90.26753 109.37543  86.04794 117.38743
##  [8]  92.01366 107.65024 103.17911
## 
## [[255]]
##  [1]  89.36399 111.44259 100.33377 108.18408 102.18192 108.68497 100.21681
##  [8] 111.15229  96.47819 105.27288
## 
## [[256]]
##  [1] 103.78572 108.43860  93.78958 101.77691  94.19835 109.08638  93.63314
##  [8] 117.32239 107.90372  99.86292
## 
## [[257]]
##  [1] 112.06196  99.15409 105.63262 105.28194 104.23038  94.03236  87.49156
##  [8]  83.18399  95.43704 106.82793
## 
## [[258]]
##  [1]  97.60963  87.96649 121.56478 107.02009 119.46618 112.13036  93.88621
##  [8]  95.88079  85.59319 107.40473
## 
## [[259]]
##  [1] 116.23659  90.79515  87.97802 108.82678  84.83521 119.21612 105.72136
##  [8]  82.85105 103.54919 101.05182
## 
## [[260]]
##  [1]  75.31586  99.58142  94.12739  91.12703 102.38717 108.50890 117.27009
##  [8]  73.67492 107.43611  90.47649
## 
## [[261]]
##  [1] 111.56330 103.45862 114.44957  85.17239 104.94631 102.95159 110.47862
##  [8]  97.68831 111.44017  95.55039
## 
## [[262]]
##  [1]  95.70763 100.25379  89.30748  95.43428 111.10004 116.51829 111.14255
##  [8]  95.75135 103.18480 100.98490
## 
## [[263]]
##  [1]  87.40973 102.57408  91.75707  89.39376 107.25505  92.92068  98.55951
##  [8]  90.26284 100.55944 104.92347
## 
## [[264]]
##  [1] 105.02545  89.24742 112.58042 114.92972 103.72910 101.57480 100.77343
##  [8] 102.57546 103.76424 101.36824
## 
## [[265]]
##  [1] 106.53823  96.64231 111.29345  99.62317  82.44306  99.00280 104.47020
##  [8] 112.30032 100.60210  80.59931
## 
## [[266]]
##  [1] 100.04832  88.00788  90.23894  89.74373  92.00773 111.37129  91.68471
##  [8]  95.60937 101.84173 108.90380
## 
## [[267]]
##  [1]  93.33295  91.73776  94.81384  88.28281 109.20033  78.18042  94.72308
##  [8]  85.58860  80.43215 100.28658
## 
## [[268]]
##  [1] 115.38236 116.34640  94.37224  93.03044  94.61774 107.10110  74.38303
##  [8] 102.47700  95.94460  92.56062
## 
## [[269]]
##  [1]  79.93880  97.94174  83.50943  99.84692  91.05098 100.46320 104.61004
##  [8]  94.96261  89.77602  93.88258
## 
## [[270]]
##  [1]  93.32606  85.06724  92.19382  98.06595  97.79167 103.29542 112.91876
##  [8] 103.33671 114.75787  93.52074
## 
## [[271]]
##  [1] 113.50668 105.93409  88.08291 104.02171  87.62307 109.47231  94.60254
##  [8]  97.63890  93.20464  91.47822
## 
## [[272]]
##  [1] 117.02140 109.91805 106.75213 100.73620 107.36334 106.61713 116.03521
##  [8] 108.50040  97.93811  97.85107
## 
## [[273]]
##  [1]  95.31927  96.36261  97.63316 112.22881  76.71640  92.98154  98.67119
##  [8]  87.16742 116.19101  97.66052
## 
## [[274]]
##  [1]  88.83082  91.08386 108.72395 118.69009  98.75731 101.07029  90.51465
##  [8] 113.16645 107.22657  76.70747
## 
## [[275]]
##  [1]  93.54767  97.65883  88.91839  97.26776  88.66559 103.59308 103.35645
##  [8] 108.10984 104.16456 115.94114
## 
## [[276]]
##  [1]  96.13862  78.46697 100.25659 106.49849  95.98764 114.00876 110.94769
##  [8] 105.37493 100.69775  94.48499
## 
## [[277]]
##  [1]  98.23057 104.69178 109.67797  97.03885  92.71747 124.75606 105.18557
##  [8]  90.96397 109.30979 100.61686
## 
## [[278]]
##  [1] 108.26789 100.51797  99.41571 100.90612 104.12781  93.89914  93.44637
##  [8]  98.15221 101.71301  96.82624
## 
## [[279]]
##  [1] 103.16985  88.98265  85.69042 118.92011 103.97877  96.02972  97.20042
##  [8] 107.85119  97.89679 101.92115
## 
## [[280]]
##  [1]  97.35274  94.98609 106.02190 101.41495 113.01813  88.74603  98.64693
##  [8]  97.91011  89.25138 109.97859
## 
## [[281]]
##  [1]  98.92600  86.14442  94.07859  88.94666 110.39089 125.42904  93.26284
##  [8]  99.07770 102.79735 127.08959
## 
## [[282]]
##  [1]  76.70997  94.86044  87.97205  97.72375  97.24101  92.70191 118.34156
##  [8] 102.57065 123.93585 108.23617
## 
## [[283]]
##  [1]  87.34688  92.46509 102.73038  94.22101 103.54290 107.32573 104.21122
##  [8]  98.65387  93.56461  87.10679
## 
## [[284]]
##  [1] 103.40895 109.22336  99.20331 107.53618 122.27530 119.33821  95.05095
##  [8] 105.46712  92.97789 106.89813
## 
## [[285]]
##  [1]  99.41637 102.77588  91.40985 112.05378  99.15820  95.54080  99.23379
##  [8] 100.76398 116.36864  88.89276
## 
## [[286]]
##  [1] 124.58991  92.26688 101.74643  79.41859  93.45539 107.31773 105.05233
##  [8] 104.10572  95.33235  81.56428
## 
## [[287]]
##  [1]  89.27175  97.70171 106.21637 108.37445  96.97112  98.48447  98.37148
##  [8] 100.57846 115.37145  92.73287
## 
## [[288]]
##  [1]  97.95237 100.78726  86.61734  90.78971 102.00262 104.27069 111.40090
##  [8]  95.34294 114.53901  91.35444
## 
## [[289]]
##  [1]  84.03717  80.53987 111.04050 103.04872  98.69578  97.06387 115.86255
##  [8] 112.01146  89.96260  86.08983
## 
## [[290]]
##  [1] 110.85296 105.60612  94.89019 103.96452  79.76769  93.34859 104.35007
##  [8]  99.27088  87.18112 110.15266
## 
## [[291]]
##  [1] 111.63059  90.59960  98.14533 107.30614 108.63725  94.71252  91.21460
##  [8] 103.45075  80.83982  90.49922
## 
## [[292]]
##  [1] 107.73587  82.96202  87.99223  97.59215  96.97926  82.45955 105.09379
##  [8]  89.78544  98.41941  98.03428
## 
## [[293]]
##  [1] 106.96629  99.34019  98.65652 116.54741 103.71895 106.23540 104.74899
##  [8] 105.71635 113.35736  99.42896
## 
## [[294]]
##  [1] 102.42844 119.69634  94.69962 112.91009  93.92922 117.10140  93.33753
##  [8]  91.85628 110.36403 109.64932
## 
## [[295]]
##  [1] 105.51711 102.73189 102.41860 120.54761  85.67466  90.13664  87.20860
##  [8] 109.60755  97.54358  98.69992
## 
## [[296]]
##  [1] 117.83307  94.20974 120.22795  85.90559 113.17836 103.23121  96.11399
##  [8]  98.27163 113.38975 117.03806
## 
## [[297]]
##  [1]  83.21532 134.21095 125.77943  94.74678  99.35618  93.36453  99.06999
##  [8] 107.39859 101.03363 101.92007
## 
## [[298]]
##  [1] 114.78808  77.96132  95.08557 101.44417  92.16899 110.60966  95.54494
##  [8]  95.70820 111.89012 108.34294
## 
## [[299]]
##  [1]  98.49693  96.72243  85.51835  93.02715 125.98490  99.62585 109.13492
##  [8]  98.15474 106.09824  99.47273
## 
## [[300]]
##  [1] 113.63922  94.96367  82.90940 108.98550  97.62266 114.63408 101.24378
##  [8] 114.53741 103.50227  96.50975
## 
## [[301]]
##  [1] 107.25599  95.40762 116.84759 101.46584  79.70143  95.27830  83.67628
##  [8]  78.21645 100.59209 106.47861
## 
## [[302]]
##  [1]  92.38573  86.71158  93.97969  84.49475 107.03002 105.74503  84.04708
##  [8]  93.75931 110.47216  98.31941
## 
## [[303]]
##  [1] 100.09516 104.17240 106.26834 112.06243 107.72565  86.22433  96.37573
##  [8] 103.02298  98.90920  78.20835
## 
## [[304]]
##  [1]  92.41885 110.14551 101.58047  85.27440 102.15926  98.41293 106.71854
##  [8] 121.06559  84.84100  94.94936
## 
## [[305]]
##  [1]  98.61237  78.63795  99.68780  94.06831 122.35603  70.82024 114.88221
##  [8] 110.08025 107.35092 101.46812
## 
## [[306]]
##  [1]  92.89200 111.05631  91.14253 106.94762 104.02639 110.76238  94.03454
##  [8]  94.19012 103.02077 103.05685
## 
## [[307]]
##  [1] 113.73998 104.85399 101.44840 108.42620  94.56392 110.92972  89.77458
##  [8] 103.38147  82.93154 102.46449
## 
## [[308]]
##  [1]  84.32037  97.68515  82.42545  93.60380  92.23833 105.54775  94.17878
##  [8]  92.31405 112.21516 116.69170
## 
## [[309]]
##  [1] 110.93480  85.08757 112.76653  87.71462  99.28049 107.34458  97.86113
##  [8]  98.49607 101.25382 104.27858
## 
## [[310]]
##  [1] 104.11351  82.73639  98.24352 102.86839 105.90740  96.82640  92.97348
##  [8]  86.32412  92.71193  98.78475
## 
## [[311]]
##  [1]  93.64794 105.94703 103.67501  83.91262 103.17332 105.41705  97.38673
##  [8]  99.73504  95.67762  97.06613
## 
## [[312]]
##  [1]  89.92960 104.25208  87.75183  94.09535  90.86362  91.29082  96.31444
##  [8]  95.14747  93.00038  97.46566
## 
## [[313]]
##  [1]  84.15102 101.11038 106.31846  87.16901  85.86899 122.31997 102.39507
##  [8] 100.53193  98.01493 104.92648
## 
## [[314]]
##  [1] 100.37241  94.54088  95.67524  96.55515  96.80331  92.48301 110.74102
##  [8] 100.93822  92.26933 105.91249
## 
## [[315]]
##  [1] 103.50228  98.62420 104.00882  90.93621  98.01160  90.00845  88.16190
##  [8]  96.68601 101.68025  90.86994
## 
## [[316]]
##  [1]  98.24942  81.69554  95.53263 111.70667  88.48584  88.07068  97.80139
##  [8] 105.34671 112.36109 126.53741
## 
## [[317]]
##  [1] 108.00893 106.71454 120.27924  96.99076  97.86651 102.53270  85.79912
##  [8]  81.64563 118.06789  94.25004
## 
## [[318]]
##  [1]  95.42119  90.07044 101.44073 105.91141  97.71389 100.14705 109.51393
##  [8]  99.89232  94.38657  99.39390
## 
## [[319]]
##  [1]  91.57674 101.01888  91.02074 113.93925  75.13476 104.01294  95.11973
##  [8] 119.87149  97.65537 104.81837
## 
## [[320]]
##  [1] 103.8689 102.4767 105.1812 119.9741 109.2751 101.9642 117.9027 105.8320
##  [9] 106.5033 112.4503
## 
## [[321]]
##  [1] 101.61107 107.25491  97.25520 101.24836 100.39643  93.60267 120.34653
##  [8]  94.41102  96.44221 113.24417
## 
## [[322]]
##  [1]  99.79378 111.68126  93.92643  99.87158  97.49063  90.30886  96.96688
##  [8]  93.44733 108.57447  97.09016
## 
## [[323]]
##  [1]  99.17219  91.72155 102.15199  83.88064  70.50128 118.80106 107.57262
##  [8] 106.34729  77.63492 106.77129
## 
## [[324]]
##  [1] 105.19814  99.22345 108.25039 111.20569  98.77836 119.45337 109.88363
##  [8] 112.24385  96.84882  98.68877
## 
## [[325]]
##  [1]  90.77415 104.07369 102.64011 100.91284  93.19313  97.68031 119.85112
##  [8]  90.70841  95.93910  85.96567
## 
## [[326]]
##  [1]  87.59271  97.13235  96.08713  93.83098  92.26156  98.03373 111.34021
##  [8]  96.42199  87.16796  89.30948
## 
## [[327]]
##  [1]  79.95652  82.89484  92.52580  90.23585  88.50974 119.89244 117.51131
##  [8] 125.64409 107.76496  98.38751
## 
## [[328]]
##  [1]  89.56739  88.99234  95.03126 112.80521 106.66471 108.89500  98.12879
##  [8]  84.46364 103.26403  97.85388
## 
## [[329]]
##  [1]  96.96042 121.84173 108.69691  97.71594  80.96554  97.13359 109.90389
##  [8] 103.72821 102.72107 110.45094
## 
## [[330]]
##  [1]  98.30990  96.54198  97.46034 107.34513  97.30652 107.60301  87.71816
##  [8]  87.28935 101.27384 107.60383
## 
## [[331]]
##  [1]  95.92347  94.22579  71.60624 103.74321  90.97145 104.02575 114.27212
##  [8]  95.04081 106.96725  98.47454
## 
## [[332]]
##  [1] 103.68605  88.44201 104.17824 113.04962 117.96712  88.12619 105.33685
##  [8]  94.91976 105.22721  98.21536
## 
## [[333]]
##  [1]  97.51967 106.82099 107.46202 102.79077 104.64049 103.78460 102.78374
##  [8] 100.91230 109.15610 107.09899
## 
## [[334]]
##  [1] 107.93933 111.06968 105.49337  98.47002  89.10530  95.11968  91.30045
##  [8]  97.01491  94.74705  98.03314
## 
## [[335]]
##  [1]  89.76100  93.77698 103.55587 102.13606  95.95930 110.12822  83.58871
##  [8] 104.82759 115.69831  95.92152
## 
## [[336]]
##  [1] 103.87585  94.41712  99.77985 108.15603  90.85986  94.45179 105.32223
##  [8] 104.15710 108.06859 112.52748
## 
## [[337]]
##  [1] 107.69853  89.22367 101.53781  96.00913  99.94143 109.17362 102.76155
##  [8] 101.55188  98.79885 103.97019
## 
## [[338]]
##  [1]  88.21375  95.78452 116.16576 106.16123  90.38206  87.71443  90.40670
##  [8] 105.80157 104.33159  94.31418
## 
## [[339]]
##  [1]  96.31316 109.78228  96.92926  99.41591 103.52534  98.17672  92.64974
##  [8]  95.87059  89.19000 104.69313
## 
## [[340]]
##  [1] 113.32040 102.44263 108.12729  93.48865  98.59691  98.63888  85.69359
##  [8] 100.88893 104.79237 106.83406
## 
## [[341]]
##  [1] 113.15654  85.27351 106.17651 107.17074  97.89974 106.02459  85.85468
##  [8] 102.14395  68.70912 103.12058
## 
## [[342]]
##  [1] 116.01563 115.41987  73.40331 105.35027  96.50279  99.74992  77.83867
##  [8] 103.85041  94.73279 103.73889
## 
## [[343]]
##  [1]  98.08782  89.74562 103.33196 105.95069 100.54319 105.67102  95.35989
##  [8] 112.84801  96.42028  94.20348
## 
## [[344]]
##  [1] 110.41593 111.14882 106.80656 102.20507 115.94886  89.89359 111.37770
##  [8] 117.14394 100.54610 105.85722
## 
## [[345]]
##  [1] 106.09702 111.93582  91.41190 108.95706  82.91053 120.76904  94.28660
##  [8]  96.83809 102.58885  87.49688
## 
## [[346]]
##  [1]  97.37105 100.61487  96.60033 120.26294  82.13239  98.94612 111.78847
##  [8]  91.63835  98.61049 119.43285
## 
## [[347]]
##  [1]  81.32654  91.96402  88.01591 106.29521  91.33871 104.67806  93.54194
##  [8]  98.47474 108.56215 101.37004
## 
## [[348]]
##  [1]  80.59295  94.64113 107.13595 118.60148  88.85174  97.71379  99.18410
##  [8]  92.67434  86.17367 118.38797
## 
## [[349]]
##  [1] 114.78334  85.93213  81.16028  97.22634 104.30428  98.71213 111.29265
##  [8]  97.53472  88.34452 115.19882
## 
## [[350]]
##  [1]  97.65973  97.16026  97.36842 100.56004  76.81338 106.83297 107.21232
##  [8] 106.29245  95.88874 100.99308
## 
## [[351]]
##  [1]  85.65087 103.59780  91.82945 113.16893  90.74176  79.40915 101.72659
##  [8]  83.69444  90.72153 108.04032
## 
## [[352]]
##  [1] 118.72332  97.37322 109.71651  86.22636 117.30501  99.94913  92.20120
##  [8] 103.97544  91.90751 100.50323
## 
## [[353]]
##  [1] 101.01772 111.69124  94.33409  96.24660 101.23994 108.97374 118.95597
##  [8] 115.82186 109.60255  80.96923
## 
## [[354]]
##  [1] 109.47325 107.53420  93.02203  94.35070  86.30850  99.87453 100.90630
##  [8]  82.46450  84.18662 101.74485
## 
## [[355]]
##  [1]  89.73116  97.00784 110.07717  95.74089 101.27064 106.15771  88.75342
##  [8] 112.42677 109.17015 112.72965
## 
## [[356]]
##  [1]  95.73799  85.35680 105.11163 106.18532 125.40369 117.19493  95.35117
##  [8]  89.93223 106.20989 119.93242
## 
## [[357]]
##  [1]  88.16866  92.19498 117.47695 118.37187 101.94556  83.79770  94.57429
##  [8] 111.67419 121.53734  99.84123
## 
## [[358]]
##  [1]  93.68555 103.05287 101.44879  90.90665 105.91884 113.90444 100.13120
##  [8] 106.25750 102.52085 104.61566
## 
## [[359]]
##  [1]  97.86377 111.97876 102.31803  94.97159 106.30457 109.57298  99.25517
##  [8]  73.21836 116.36164  92.49369
## 
## [[360]]
##  [1]  96.50856 116.18631  81.01960  88.93456  92.50549  86.87119 111.03288
##  [8] 112.64496 105.00876  95.60594
## 
## [[361]]
##  [1]  95.76320  94.31927  94.75294 104.82826 109.09263  95.43422 103.18990
##  [8]  76.14207 100.75837  91.21558
## 
## [[362]]
##  [1] 110.98533 111.85824  78.03505 109.22318  94.34272  98.36059 108.98501
##  [8] 106.89167  91.80977 103.20067
## 
## [[363]]
##  [1]  95.32925 112.51855  84.28527 108.19754 113.91096  73.90475 106.47747
##  [8]  96.37020 101.10222  97.29926
## 
## [[364]]
##  [1] 106.92097 109.28280 105.93130  98.93707  95.75871  98.59686  97.72709
##  [8] 102.05062  91.75405 105.84581
## 
## [[365]]
##  [1]  90.01701  85.15718 102.57777 104.15290 110.25420 107.26076 102.19787
##  [8] 106.91600  90.19502  88.59390
## 
## [[366]]
##  [1]  87.84512 100.44729 106.61470 109.06392 114.83701 103.29201  98.71809
##  [8]  93.38723 102.54068  99.35645
## 
## [[367]]
##  [1]  96.74871  93.22977  89.94135  90.17053 114.68830 102.50618  95.69928
##  [8]  84.20809 101.92864  95.02700
## 
## [[368]]
##  [1]  99.14108  97.92851 107.76055  99.31365  98.21999 123.72838 110.87204
##  [8] 101.30018  92.68802 111.79130
## 
## [[369]]
##  [1]  90.67350  99.51936 108.52586  95.88688  96.32790 104.40309 101.39471
##  [8]  97.50747  97.90626 102.50899
## 
## [[370]]
##  [1] 104.66729 112.94262  95.80768 113.16659  85.34784  93.54913  86.47098
##  [8] 103.09442 104.20861  86.33975
## 
## [[371]]
##  [1] 100.47864  90.86134 104.93843  84.45086 108.64717  99.55592  89.64057
##  [8]  99.17078  97.34333  96.35539
## 
## [[372]]
##  [1]  85.02651  94.14790  98.26672  85.16748 103.02361 113.73116 107.82087
##  [8]  92.01467  93.43134  95.34308
## 
## [[373]]
##  [1] 106.05893  99.60480  90.54943  84.88015 105.59297  89.56037 104.97012
##  [8] 100.73071 107.21771 110.94172
## 
## [[374]]
##  [1]  85.76706 110.22304 106.87815  96.92545  99.80251 104.88398 106.60501
##  [8]  82.85957 114.58857  85.92105
## 
## [[375]]
##  [1]  79.18836 109.54239  84.88408  97.75857  86.53471  82.05416  95.57886
##  [8] 106.47112 103.15899  93.57526
## 
## [[376]]
##  [1]  99.84243  99.01305  99.76476  95.53962 103.60950  89.17297 103.77517
##  [8]  96.60592  96.64401 107.05804
## 
## [[377]]
##  [1]  95.72428  90.14650  87.96962 106.69033  76.66713  95.83084 101.81456
##  [8]  86.25040 100.06963 106.70240
## 
## [[378]]
##  [1]  81.75571  91.12786 117.62262  93.45376  90.33906  91.42281  95.65681
##  [8] 101.85920  92.96333 102.01720
## 
## [[379]]
##  [1] 107.01953 103.36182 107.49826  91.99118  98.77259 106.64289 100.54958
##  [8] 102.12695 100.50861 101.82917
## 
## [[380]]
##  [1]  99.75327  89.00609 101.73999  95.44633 114.35779  94.70410 101.52151
##  [8]  80.26739  93.41121  91.71547
## 
## [[381]]
##  [1] 112.31704  98.48914 101.44956 103.00297  94.68889 103.00715 115.06624
##  [8] 106.16993 107.14400  91.65477
## 
## [[382]]
##  [1] 101.79048 102.93346  93.44898 101.17421 119.73528  90.25467 105.52948
##  [8]  89.26179 103.51997  89.58175
## 
## [[383]]
##  [1] 105.90351  87.31560 100.20478 113.41316  97.77526  98.93602 114.04190
##  [8] 120.36297 124.83105  96.06375
## 
## [[384]]
##  [1]  89.44863 106.51154 104.35595 112.85208 101.50213 101.60819 115.13759
##  [8] 101.61991 106.82235 104.84518
## 
## [[385]]
##  [1]  99.55528  94.65189  96.62452  80.51473 112.78455  84.04889  94.09300
##  [8]  96.29669 112.05528 100.57851
## 
## [[386]]
##  [1] 109.44225  97.05768 116.71368 104.86998 105.47294 108.77531  85.17768
##  [8]  99.89476 102.14424  92.33271
## 
## [[387]]
##  [1] 100.12171  92.78660 102.19747  82.15172 102.84410  93.63727 109.39340
##  [8]  80.26890 100.42513  97.79090
## 
## [[388]]
##  [1] 109.40524  84.19989  94.51269 107.11862 106.12874 103.56334 102.88570
##  [8]  83.31458 108.51062 102.15776
## 
## [[389]]
##  [1]  81.85293  98.26549 109.53768 107.03788  93.68715 109.07592  96.03037
##  [8] 103.81959 109.28533 103.90576
## 
## [[390]]
##  [1]  93.47297 108.19982 114.77430  90.70804  98.17806 110.03658  91.48008
##  [8]  82.80624  95.05301 110.66490
## 
## [[391]]
##  [1]  86.38152  97.51696 109.61930 100.46927 105.66919 116.23980 109.00771
##  [8] 105.91191 104.90986  88.41583
## 
## [[392]]
##  [1] 108.39197 105.42107 104.03621 100.57200  87.28952 101.53594 112.54956
##  [8]  93.88287  81.99151 118.38028
## 
## [[393]]
##  [1]  94.35722 111.40357 106.24053 116.57736  99.57909  96.99555 117.32258
##  [8] 121.56530 103.18519 101.69847
## 
## [[394]]
##  [1] 107.42349  93.27463 104.97826  90.10388  97.02520 107.94884  92.37047
##  [8] 108.50861 105.02179 114.33743
## 
## [[395]]
##  [1] 121.65663  94.24624 103.90639 115.58664 101.99045  93.46187  90.02429
##  [8] 114.00444 125.99492  89.52700
## 
## [[396]]
##  [1] 101.10537  84.31931 100.69671  96.92820  99.87947 128.94854  86.01320
##  [8] 104.32113 118.32658  93.88977
## 
## [[397]]
##  [1]  91.80657 100.48309 113.00551  96.56875  89.74209 100.70549  79.82181
##  [8]  85.24545 110.86463 104.58816
## 
## [[398]]
##  [1]  78.26004 106.17616  76.95205  95.53031 102.99491  85.71525 112.67497
##  [8] 112.14506  93.25144 111.21022
## 
## [[399]]
##  [1] 101.96550 106.50113 106.71004  87.15842  79.73890 122.05326 102.31390
##  [8] 103.75642  88.07031 111.32550
## 
## [[400]]
##  [1] 118.39477 115.27870  79.76373  89.59492 100.97792 106.96841  94.56111
##  [8]  91.41451 102.29786  90.57357
## 
## [[401]]
##  [1] 120.43504  81.74505 105.08792  80.03673  95.05677 114.84337 111.21769
##  [8]  86.00139  85.23902 100.58106
## 
## [[402]]
##  [1]  90.47023 104.05770  90.16062  83.89877  95.69831  87.75789 110.86642
##  [8]  96.65194  99.62159 113.80591
## 
## [[403]]
##  [1] 118.57821  99.47050 103.33336 113.09098  98.25538  89.56374 109.94200
##  [8]  84.75365  97.54747  95.97845
## 
## [[404]]
##  [1]  94.77256  72.46391  94.13100 112.66313  95.31129  93.80957  93.33861
##  [8]  91.25261 101.46022 105.92781
## 
## [[405]]
##  [1] 114.48706  84.33909 103.95353  98.46766 102.85286  89.68283 100.45511
##  [8]  88.46386 106.59703  90.53810
## 
## [[406]]
##  [1] 100.63547  78.72767 103.26967 111.07723 107.66163 110.53673  86.44057
##  [8]  98.30699  99.30299 107.20196
## 
## [[407]]
##  [1]  98.32218  97.96721 116.78128 110.90935  82.43555  96.15389  90.07842
##  [8] 129.71585  95.05665 111.48040
## 
## [[408]]
##  [1] 100.96271 101.08830 104.95237  98.57357 108.32937 105.59824  83.14904
##  [8]  94.44388  94.76647  94.93896
## 
## [[409]]
##  [1] 110.65285 114.87027  90.78199 105.41435  88.30232  94.42920 102.98466
##  [8]  98.11077  93.19550  87.42551
## 
## [[410]]
##  [1]  96.88233 100.52498 105.62234  91.24183 105.86756  88.36160  94.53888
##  [8] 104.50377  93.07485  92.20404
## 
## [[411]]
##  [1]  99.52667 100.35435 109.34482  97.66614  82.99212  93.44162  93.69530
##  [8]  90.67672 103.21904 125.01765
## 
## [[412]]
##  [1] 107.94167  98.45160 105.03667 114.42768  96.90733 106.64480 105.61899
##  [8]  98.77365 100.56546 106.51891
## 
## [[413]]
##  [1]  99.73761  96.60491  94.06010 102.90962  99.44978  96.28262 101.76588
##  [8]  92.26933  91.97580 113.73566
## 
## [[414]]
##  [1]  91.18644 103.15788  90.31613  97.69390 103.90362  89.90463 105.95039
##  [8] 102.18915  96.83394 102.45467
## 
## [[415]]
##  [1] 100.75045  91.60350  86.02936 101.06132  89.95279  99.64780  83.51924
##  [8]  90.70968 102.72111 110.45323
## 
## [[416]]
##  [1] 101.69279  90.05565  95.84663 110.93636 105.18684 107.87040 109.96701
##  [8] 103.77468 111.09380  90.26786
## 
## [[417]]
##  [1] 102.99645  96.60518 102.01739 113.25398 105.03793  93.70363  96.49846
##  [8]  90.48661  99.10186  95.00403
## 
## [[418]]
##  [1] 107.91573  95.07272 107.10315 107.20730  95.64670 114.26492 100.26924
##  [8]  93.47182 100.74399  90.09037
## 
## [[419]]
##  [1] 106.50993  91.04832 112.92993  79.25793  88.87540  96.61654  92.99302
##  [8] 113.46945  99.39574 103.54804
## 
## [[420]]
##  [1] 107.07370 101.52878 109.61010 104.39716 106.98214  85.13993  88.73678
##  [8]  77.73593  97.46727 114.31756
## 
## [[421]]
##  [1]  90.21597 103.15063 104.40956 102.38526  97.15777  93.81856  93.63232
##  [8] 100.17453 112.99638  92.06493
## 
## [[422]]
##  [1]  98.77466 100.99268 107.91413  97.68672 106.37717  85.03267 107.18400
##  [8] 100.96371  89.04355  76.69641
## 
## [[423]]
##  [1]  96.34663 106.68861 103.19055  96.35834 100.50065 101.55991  92.47589
##  [8] 100.54555 101.12269  92.77169
## 
## [[424]]
##  [1] 101.98196 103.10560 105.26324 107.11047 104.10311 103.01399  99.04570
##  [8] 104.48760  87.30755 106.54270
## 
## [[425]]
##  [1]  94.65091 123.37529  94.03662  71.12370 113.72085  94.01348 105.92951
##  [8] 102.25742 110.96312  90.96734
## 
## [[426]]
##  [1]  88.10938 110.64969  90.41433  84.66306 107.77969  99.34742 122.78204
##  [8] 103.43610  96.46907  93.72815
## 
## [[427]]
##  [1] 116.84609  87.85072 106.16962 105.61680  94.27194 115.35718  92.52345
##  [8]  99.80528 103.87628 123.23126
## 
## [[428]]
##  [1] 106.15152 117.31548  92.71437  82.54560 108.89357  83.71531  86.57790
##  [8] 106.10770  99.44223 108.47019
## 
## [[429]]
##  [1] 114.33175 109.12745 103.82330 105.52019 101.44827 117.08392 100.52389
##  [8] 108.07144  90.59884 100.39242
## 
## [[430]]
##  [1]  80.02373 101.38730  85.11723  98.67126  97.59883 109.72019  93.57769
##  [8]  93.35822  80.26986 106.20382
## 
## [[431]]
##  [1] 110.88672  97.73923 114.80238  95.90244  89.97678 102.29145 106.86285
##  [8]  85.06480  83.64367 100.46420
## 
## [[432]]
##  [1] 104.80435  76.55514  82.93813 103.07770 108.88734  96.19064 112.00422
##  [8]  93.86214  98.33304 113.49743
## 
## [[433]]
##  [1]  99.18443 100.25873  91.00129 100.67011  93.55734  82.00560  90.29508
##  [8]  97.61351 101.63632 110.68036
## 
## [[434]]
##  [1] 100.38534  98.72593 111.06133 124.15056  99.14562 111.77986 104.86183
##  [8]  99.23954  80.79115  90.32447
## 
## [[435]]
##  [1]  94.43256  88.89793  88.38750  95.87075 109.51889  90.79819 101.18175
##  [8]  97.97007 107.93100 100.38437
## 
## [[436]]
##  [1]  98.31837  94.15811 108.91899 111.39333 100.19442 132.71783  99.97007
##  [8] 129.23824  98.66120  84.29293
## 
## [[437]]
##  [1]  85.75233  91.28530 114.78408 117.03323 103.97609 103.08495  94.63045
##  [8]  93.23324  92.82097  91.29450
## 
## [[438]]
##  [1]  94.60078  93.77310 105.28537 107.70819 116.03181  75.51379 104.95120
##  [8]  96.81532  97.33609  83.58296
## 
## [[439]]
##  [1]  99.67122  92.23993 103.55759  88.87191 134.45992  92.17901  97.17797
##  [8]  87.71234  96.74827 121.34255
## 
## [[440]]
##  [1]  96.13108 106.10204  90.60220 115.38364 104.68352  92.83367 102.30439
##  [8]  96.13136 105.08708  91.90603
## 
## [[441]]
##  [1] 104.6322 115.8318 112.6276 103.0499 103.3368 104.2150 108.9838 103.8593
##  [9] 106.0609 106.3781
## 
## [[442]]
##  [1] 102.27794 107.20449 100.57839 110.11286  95.71749 101.93771 100.32464
##  [8]  89.25845 111.98826  88.37567
## 
## [[443]]
##  [1] 113.05129  89.31534  90.17917 108.60888  99.18255  81.54809 115.03420
##  [8]  75.11473  93.07474  84.79661
## 
## [[444]]
##  [1]  94.32032 100.88681  96.66459  94.21146  98.36204 102.69165  91.44240
##  [8]  79.25144  90.74154  80.95642
## 
## [[445]]
##  [1] 106.35339 118.70158  88.54538  91.14565  91.24466 107.88390 100.31345
##  [8] 104.88948 107.71470 102.47835
## 
## [[446]]
##  [1] 104.47832  88.37435  99.38212  93.83897  86.95171  88.31016 109.37610
##  [8]  86.99453  95.95672 109.82565
## 
## [[447]]
##  [1] 103.29259 106.52347 103.31379  98.51125  78.00282  93.91161  86.21692
##  [8]  96.21916 120.54107 101.38225
## 
## [[448]]
##  [1]  92.80854 108.88692 104.91373  99.19650  97.72369  98.54514  99.28580
##  [8] 106.19530 101.27657  93.72623
## 
## [[449]]
##  [1] 108.34371  93.01596 113.09240  90.19822 107.47985 112.57797 112.22183
##  [8]  98.87839 106.92200  78.62359
## 
## [[450]]
##  [1] 104.44236  98.90713 105.99825 101.08759 112.94797  98.29349 107.33740
##  [8]  98.94044 106.55763  87.68734
## 
## [[451]]
##  [1] 106.06570  96.10410 103.94815  91.24681 105.41641 129.91525 115.40521
##  [8] 109.80379  93.80985 103.24860
## 
## [[452]]
##  [1]  98.41662  80.14871  97.59832  96.83462  99.10370  94.67993 106.51829
##  [8] 119.18581 111.55657 106.60185
## 
## [[453]]
##  [1] 100.55069 100.75732 111.57523 112.81649  94.08053 109.49803  88.16890
##  [8]  88.07341 115.95783 100.36939
## 
## [[454]]
##  [1] 100.33782 109.79023  98.03343  91.53336 101.38357  82.91367  95.27534
##  [8]  98.43260  85.57437 101.84764
## 
## [[455]]
##  [1]  92.67267 111.14078  97.18958  89.09000 102.39223  99.46782 100.40318
##  [8] 102.15455  96.05979  96.73409
## 
## [[456]]
##  [1] 106.48004 116.26737  80.74306  98.64320 109.79682  88.20788 111.66813
##  [8]  96.20773 107.07752 114.73766
## 
## [[457]]
##  [1] 108.98577 112.14315  77.92173  87.26637 105.81467  90.89219  94.48126
##  [8] 113.84222 101.16494 100.45318
## 
## [[458]]
##  [1]  97.54414  84.02104  81.19426  97.82234 103.54739  86.81055  81.92220
##  [8] 112.75509 105.06998 104.82095
## 
## [[459]]
##  [1] 109.17096 105.54744  89.44497 112.50155  87.22640  95.21412 103.33596
##  [8] 102.80998 105.89336 108.76592
## 
## [[460]]
##  [1]  91.90328  87.12574  88.32267 105.74483  95.37246 104.12912 111.82982
##  [8]  93.28266 109.24699  93.55107
## 
## [[461]]
##  [1] 106.16814 100.34075  91.49561 109.47850 107.22604  91.31394 100.37702
##  [8] 125.22398  92.48137  98.33287
## 
## [[462]]
##  [1] 114.02893  88.86302 123.80414  93.32698  94.78568  99.61446 110.74676
##  [8] 132.35543 104.83315 106.19616
## 
## [[463]]
##  [1]  86.26471 101.41242  76.40217  97.41727 114.61425  98.01930  99.42357
##  [8] 100.39045  98.76271 101.00050
## 
## [[464]]
##  [1]  84.88767  95.19129  96.58412 105.69773 102.07377  92.41408 108.49014
##  [8] 112.26585  87.20582 101.84011
## 
## [[465]]
##  [1]  92.50974  93.91851 104.19864 108.41850 103.80157  94.65156 111.29712
##  [8] 110.31890  90.10617 103.13169
## 
## [[466]]
##  [1]  88.40335 114.66734 102.70060 110.67135 103.88144  98.91730 107.50489
##  [8]  88.96682  85.67318  93.68846
## 
## [[467]]
##  [1] 102.63618  95.86312  95.34881 109.20852  94.97807 109.74457  92.27064
##  [8]  97.43517  91.73687  95.73801
## 
## [[468]]
##  [1]  88.38303 104.46987 111.82314 102.83359 117.12268  83.59900  92.48448
##  [8] 105.24644 106.33379 103.26997
## 
## [[469]]
##  [1] 117.45685 116.75390  85.40696  95.82596  85.65967  89.69226 102.48256
##  [8] 103.51408  92.19548 103.01600
## 
## [[470]]
##  [1]  92.72165 102.49414 101.13145  97.15987  90.39908  95.34675 104.91146
##  [8]  95.05818  96.74492  89.30239
## 
## [[471]]
##  [1]  95.65885  99.75143  92.70891  96.17288  88.99306 107.49165 122.09775
##  [8]  95.74770 104.66666 115.81967
## 
## [[472]]
##  [1]  96.15556  96.10835 106.47275  90.47654  98.26863  94.46835  90.32163
##  [8] 104.20696  98.61186 121.69526
## 
## [[473]]
##  [1]  71.56982 106.45282  91.78678  97.13771  89.11199 105.78400 113.55418
##  [8] 104.89112  90.88143 116.14477
## 
## [[474]]
##  [1]  98.36273 101.78739  99.50761  97.84199 100.80977  89.69447 111.53211
##  [8] 106.46329 100.78829 109.45406
## 
## [[475]]
##  [1]  87.77851 110.85129 102.12002 105.03221  95.44288  92.17706  94.53797
##  [8] 110.36253 110.90777 115.54872
## 
## [[476]]
##  [1]  99.38003  92.43944 114.72466  84.48055  98.41115 106.03257  88.37715
##  [8]  84.39904 104.89186 116.21051
## 
## [[477]]
##  [1]  92.85263  93.13313  90.58396 114.84726  92.92065  91.62556  91.95970
##  [8]  94.12096  94.02282 106.06447
## 
## [[478]]
##  [1] 103.01728 104.74748  93.69800 107.24514  69.56865 111.27702 101.99846
##  [8]  95.94898 104.75527  87.76878
## 
## [[479]]
##  [1]  93.67286 101.09172  84.37443  99.59755  99.63670  97.21074  87.06871
##  [8] 111.66801  85.14626  85.22880
## 
## [[480]]
##  [1]  94.17360 115.49304 101.06883 102.59567  97.84011 102.70847 106.33189
##  [8] 107.07469 113.70681  92.21944
## 
## [[481]]
##  [1]  98.41886 104.13539 108.25076  96.66978 106.50774  94.51547  96.58524
##  [8] 110.12144  81.17245 102.21547
## 
## [[482]]
##  [1] 109.25940  96.55223 106.24856  92.93504 101.71207 100.09779  99.71408
##  [8]  87.24213  98.37412  91.86047
## 
## [[483]]
##  [1]  96.40393 110.24244  94.33407  99.67271 101.03024  98.10534 108.06090
##  [8]  99.57552 101.54898  91.09719
## 
## [[484]]
##  [1]  96.17741  93.52996 104.74278 111.51529  95.39369  77.84738  91.54487
##  [8]  90.65724 111.80755 101.42994
## 
## [[485]]
##  [1] 115.64737 104.00904  84.52443 104.94911  92.52146 100.00603  98.98347
##  [8]  98.55942  96.68631 119.21208
## 
## [[486]]
##  [1] 115.09855  91.10716 101.98680 111.51365 111.02526  91.04617 114.09801
##  [8]  92.95404 101.26643 101.68756
## 
## [[487]]
##  [1]  80.80009  98.66693  78.99613  80.33661 103.20515 103.41243 109.74335
##  [8] 103.79546  93.26231  91.99273
## 
## [[488]]
##  [1] 108.04555 114.51036 107.98794 102.16925  99.31003 116.28417  75.08313
##  [8] 109.92909  98.32305  88.72899
## 
## [[489]]
##  [1] 108.36662  90.19721 103.44006 101.85535 101.41200  81.47903 101.62420
##  [8]  95.06821  92.96215  88.16379
## 
## [[490]]
##  [1]  88.61302  91.54397 112.46990 106.95165 102.74832 117.16485 116.12081
##  [8] 109.02961  88.16558 114.33080
## 
## [[491]]
##  [1]  97.97873  97.57329 102.37540 100.62938  95.06120 106.84869  95.17958
##  [8]  94.35205  97.45707  92.40317
## 
## [[492]]
##  [1] 101.53682  99.02747  97.04099 104.63791  81.75169 102.52442 109.01248
##  [8] 108.80441 122.31770  93.60165
## 
## [[493]]
##  [1]  90.19896 103.26098  83.14738 112.10692  89.52886 104.38547  96.62195
##  [8]  76.20524 102.59345  88.96995
## 
## [[494]]
##  [1] 109.22301  75.48509  98.68996  89.46603 111.27166  92.72165 109.35341
##  [8]  95.31708 101.29821 114.62353
## 
## [[495]]
##  [1]  93.17831 118.18618 109.86158 112.84601  77.53599  98.31483  85.33383
##  [8] 107.59275 112.22777  93.82465
## 
## [[496]]
##  [1]  94.88226  83.78420 107.90938 114.61522  83.00068  81.87485 111.44141
##  [8] 113.48542 103.71556 102.42249
## 
## [[497]]
##  [1]  93.78741 103.39038  95.47860 120.43233  95.50662  68.62615 104.99962
##  [8]  87.42858 108.22761  84.53904
## 
## [[498]]
##  [1]  97.41219 103.90407  98.02730  80.53051  85.72362  91.49582 116.24469
##  [8]  98.73362 112.75602 101.79496
## 
## [[499]]
##  [1]  95.05826 111.27593  88.53050 114.81019 109.16191 103.35131 105.74675
##  [8] 102.03620  95.52959  96.56474
## 
## [[500]]
##  [1]  93.96164 112.38673 105.99492  98.91266  88.61143 103.19855  89.93452
##  [8]  91.48388 120.38786  86.04018
## 
## [[501]]
##  [1]  91.17005  94.19194  94.04244  88.74475  98.12275  89.61958 113.42461
##  [8] 101.23513 108.58148  85.94572
## 
## [[502]]
##  [1]  99.85543 105.45576 100.98112 100.17597  89.65720  93.71283  95.95099
##  [8]  91.97629 107.63807 117.59613
## 
## [[503]]
##  [1] 113.15180 104.22840  98.81692 105.76006  92.11386 102.64917 101.66466
##  [8]  76.54977 118.96637  86.68439
## 
## [[504]]
##  [1]  73.74122  99.99658 101.07412  99.91995 101.40565  88.15073 105.92497
##  [8] 113.80688  91.61271 103.05874
## 
## [[505]]
##  [1]  97.29100  99.39214 109.75708 102.77768 119.31841  96.67709 114.81943
##  [8]  95.44344  97.68678  96.72882
## 
## [[506]]
##  [1] 102.87902 104.66534 101.45161 105.99325  92.18068  97.61121 106.52135
##  [8] 110.38079 103.38341 107.09390
## 
## [[507]]
##  [1] 108.40061 106.09309  97.76282  98.35656 106.21994  95.44616  98.68016
##  [8]  99.08193  84.13191 103.34189
## 
## [[508]]
##  [1] 105.70007  99.38897 117.94067  98.24218 105.78799 105.32598 107.84679
##  [8] 104.17712  98.08719 105.63353
## 
## [[509]]
##  [1] 102.53522 102.43522 107.19590 107.72733  99.91477  96.10931 113.28233
##  [8] 100.53013  96.23735  90.53762
## 
## [[510]]
##  [1] 102.69989 103.87151  88.61947  86.51646 101.84197  91.81100 113.48615
##  [8]  88.92801  84.51097  99.30152
## 
## [[511]]
##  [1] 104.68005 101.56881  98.79140 103.78801  92.31614 102.26992  91.66313
##  [8]  91.95605 101.06715 104.11465
## 
## [[512]]
##  [1]  91.30878  84.49022  89.73650  79.99797 101.29017 105.84769 118.01929
##  [8]  91.05272  95.27462  98.91491
## 
## [[513]]
##  [1] 102.37583  92.01652 109.29332  96.20311 109.85171  83.70782  98.37765
##  [8] 103.45775  95.07809  95.21313
## 
## [[514]]
##  [1]  93.62266 101.03421 112.62298  89.75701  99.00997  95.17433 114.13203
##  [8] 119.27728 105.00733 100.66311
## 
## [[515]]
##  [1] 113.66250  95.38385  99.43180 110.50229 101.05714  95.24587 101.84986
##  [8]  95.52366 118.69918  96.16776
## 
## [[516]]
##  [1] 109.40763 100.01140 113.30351 109.30724  93.51243 102.82058  98.54184
##  [8] 105.02783  99.53639 104.70335
## 
## [[517]]
##  [1]  98.83021 109.55642 103.13167  86.84135  99.79270  96.63337 111.16437
##  [8]  88.48331  79.55005 104.67675
## 
## [[518]]
##  [1] 109.41962 104.52910 113.52783 109.01956  90.69690 109.30525  94.11223
##  [8] 111.05088 109.92882  99.50212
## 
## [[519]]
##  [1] 110.67937  97.32102 110.11006  76.93565  89.48608 101.47557  94.89340
##  [8]  73.32042  91.64769 116.13959
## 
## [[520]]
##  [1]  87.91221 101.66938  95.06101 100.18316  98.22635  98.64086  98.77492
##  [8]  78.23006 100.00560 101.28352
## 
## [[521]]
##  [1] 104.12337 113.67239 100.36760 102.70772  85.72344 100.99575  84.44548
##  [8] 119.98489  96.42977 103.52161
## 
## [[522]]
##  [1] 104.41336  86.92507 104.66881  89.27100 104.58506  93.81195  93.20063
##  [8] 104.14206 103.66427  97.51093
## 
## [[523]]
##  [1]  92.63671 101.94006  99.51246 109.59500  93.67916  98.76933 122.70783
##  [8]  87.16084 103.17251 104.10651
## 
## [[524]]
##  [1]  95.51110  92.90324  85.42796  85.82404  97.35979 112.52787 100.53708
##  [8] 115.45720  93.97764 105.78603
## 
## [[525]]
##  [1] 101.24399 103.62650 102.05402 107.77728  99.92268 109.68502 104.90185
##  [8]  99.90463  98.87190  87.23329
## 
## [[526]]
##  [1]  93.51399  97.36692 109.35634 107.91319  91.93725  95.23677 117.37139
##  [8]  85.87483 101.79352 102.77656
## 
## [[527]]
##  [1]  94.98297  86.27510  96.06483 126.88524  98.90233  97.76879 101.79367
##  [8]  88.31184 107.51197 107.19396
## 
## [[528]]
##  [1]  96.51855 100.59334  94.94962 106.89892  83.41221  97.77749 106.23422
##  [8] 116.87336  90.91498  88.81378
## 
## [[529]]
##  [1]  98.91789  99.42481 107.58042  98.85612  94.25982 118.89939  96.70847
##  [8] 108.80878 107.44416  95.60257
## 
## [[530]]
##  [1] 116.62436  88.44201  90.62261 111.67122  84.42542 106.37357 101.97450
##  [8] 107.39473 107.81436  93.34449
## 
## [[531]]
##  [1]  93.15578 108.14296 108.88384  88.86328  87.68108  89.25340  99.85221
##  [8]  99.78940 123.27592 105.37579
## 
## [[532]]
##  [1]  98.49066  94.72060  94.64944  93.80129  89.05853 101.74764  68.10814
##  [8]  88.30556 109.91563 101.49197
## 
## [[533]]
##  [1] 105.54631  94.10309 114.09565  97.02556 105.87355 100.13673 104.79095
##  [8]  95.58546 112.44008  94.82366
## 
## [[534]]
##  [1] 128.59937  98.38271 101.26126  93.79856 107.33029 101.88879 106.35331
##  [8] 107.13171  92.31112 108.25866
## 
## [[535]]
##  [1]  88.10113 101.53363 109.12622  84.08536  95.58600  95.97039  79.37697
##  [8]  97.97435 114.07589  85.92606
## 
## [[536]]
##  [1]  89.00548  96.06925  99.40537 101.04925 101.88995  97.21798 123.59197
##  [8]  95.52365  86.64643  84.35219
## 
## [[537]]
##  [1]  98.00520  94.60316 110.49569  98.12809 100.79202  83.82347  97.60062
##  [8]  97.28113  85.96963  90.87048
## 
## [[538]]
##  [1]  91.26808 108.27193 105.58027 106.94425 114.05822  96.78605 111.83057
##  [8]  97.34265 111.56180  87.46954
## 
## [[539]]
##  [1]  93.95797 109.13416 116.57456  99.61122  96.68709 106.26067  98.79356
##  [8] 100.13626 102.52213 110.89506
## 
## [[540]]
##  [1]  89.34434  95.58745 106.00320  78.56242 112.95443  93.51400  89.55638
##  [8] 101.67576 122.33777  93.27718
## 
## [[541]]
##  [1]  85.05384  98.66840 111.70234  97.22890 105.99736 111.56609  82.86163
##  [8] 106.00074  94.82928  99.40408
## 
## [[542]]
##  [1] 122.45010 102.52268 108.10779  90.10342 104.30178  98.76432  97.68071
##  [8] 105.57948  84.95705 113.90528
## 
## [[543]]
##  [1] 122.82636  95.58799 105.18805 120.53861  91.17941 100.47126 123.08635
##  [8]  90.74740 109.55479 104.73501
## 
## [[544]]
##  [1]  96.36871 103.61854  96.67808 107.60385  94.90431  82.42848 108.13198
##  [8] 111.32327 101.11539  91.69873
## 
## [[545]]
##  [1]  95.17410  86.82816  86.12624 111.32393  79.41485 105.58693  96.15825
##  [8]  86.74344  97.67492  98.10949
## 
## [[546]]
##  [1] 112.02302 123.98833 118.22909 116.26991 116.15886 109.28735  95.45484
##  [8] 101.71173  84.69405  92.22167
## 
## [[547]]
##  [1]  91.26965  89.09829 114.12656 105.00048 102.64507  99.88673 109.85935
##  [8] 108.84638  90.95138  79.96176
## 
## [[548]]
##  [1]  88.21526  95.05129  99.96757 115.03406 106.34769 106.85445 108.10478
##  [8]  98.69574  89.25917  91.02457
## 
## [[549]]
##  [1]  86.42769  87.07302  84.82793 108.59176  87.85382 106.19055 123.45380
##  [8]  98.01972  98.15992 108.38738
## 
## [[550]]
##  [1]  99.85492  92.36167  85.80462 100.93312  95.72849 103.92367 102.82014
##  [8] 112.98028 106.00219 111.36411
## 
## [[551]]
##  [1] 100.69674 108.15919  97.52685  98.46363 100.74681  88.89736  87.94416
##  [8]  97.09339  85.98354 100.95683
## 
## [[552]]
##  [1] 107.98317  91.17554 100.51989  84.59018 109.34876  96.42825 115.30519
##  [8] 100.41809 118.59860 103.34887
## 
## [[553]]
##  [1]  98.10335 110.12065 105.29949  94.44480 107.02250 106.30874 103.72918
##  [8]  96.43536  99.49773 108.78863
## 
## [[554]]
##  [1] 111.24687 102.97891  91.93125 107.53813 101.49893 111.37372  83.98574
##  [8]  92.55840 105.32656  86.47065
## 
## [[555]]
##  [1] 127.48691  91.48203 104.47211  82.72026 122.05051 107.25815  94.86093
##  [8] 102.61132  92.89523  82.80551
## 
## [[556]]
##  [1]  89.10541  90.88581 111.41345 104.66209  96.29612  97.43742 110.72265
##  [8]  89.95797 105.99403  90.65635
## 
## [[557]]
##  [1] 107.16654 112.56940  95.62624 104.56830  77.94443 103.23845 103.14400
##  [8] 104.25633 112.16334  90.46438
## 
## [[558]]
##  [1] 113.99376  90.39323  83.65035 122.05912 108.16438 107.63475 106.31217
##  [8]  97.91288 110.08678 114.35968
## 
## [[559]]
##  [1]  84.38311  88.56974  92.77403 105.25832  76.55856  98.42571  85.49149
##  [8]  96.54808  83.93010 111.70452
## 
## [[560]]
##  [1]  97.23965  98.05294 114.92095  91.35185  84.53439  93.80635  93.47278
##  [8] 103.50357  96.84218  85.88807
## 
## [[561]]
##  [1]  98.16020 105.96547  86.56580 110.00975 107.07530 115.00481  96.72141
##  [8] 104.22608  91.26807  97.43396
## 
## [[562]]
##  [1]  89.46128 110.75479  85.51740 106.14688  93.16354  89.52059 114.60918
##  [8] 101.06958 103.33310 101.94509
## 
## [[563]]
##  [1] 106.52579 114.74918 100.62026 112.20911  76.52618 106.30116 104.22848
##  [8] 101.80888 101.27099  95.42375
## 
## [[564]]
##  [1]  93.76924 110.95648  98.13343 111.81481  96.13061  89.86519 114.46562
##  [8]  99.01510 112.17281  87.67997
## 
## [[565]]
##  [1] 103.57918  96.84300 119.54052 113.07690 105.60285  94.93089 109.83501
##  [8] 107.21697  85.53254 111.87971
## 
## [[566]]
##  [1] 108.57006  98.12430 123.11981 109.52848  94.86070 109.31141 104.09298
##  [8]  98.25054  67.37851  95.68407
## 
## [[567]]
##  [1] 100.24290 107.23395 103.52632 102.26746 115.13211  99.47109  89.44319
##  [8]  94.96473  98.15731  94.25315
## 
## [[568]]
##  [1]  81.35383 105.95458 107.91532  92.63843 104.36224  96.84328  97.04613
##  [8] 106.04119 104.18115  94.16359
## 
## [[569]]
##  [1]  92.68106 105.43313  90.00930  92.95713 113.83112 101.60304  95.56211
##  [8]  88.22109 107.17310  94.46205
## 
## [[570]]
##  [1] 100.96882 111.90124  97.80484 110.31149  88.53905  82.37093 103.27250
##  [8] 111.90378  94.73652  97.44866
## 
## [[571]]
##  [1] 109.26110  95.45389  88.79778  91.74235  98.27006  84.51183 108.08753
##  [8] 105.73994 108.42631 115.45539
## 
## [[572]]
##  [1] 109.87466 114.47999  96.49747 111.60468  86.49887 106.13491 116.57940
##  [8] 120.57420 102.90956 107.64511
## 
## [[573]]
##  [1]  89.21381  84.66240  99.87659 102.92901  98.67549  91.97610  87.77785
##  [8] 109.41244 110.05980  98.40862
## 
## [[574]]
##  [1] 116.81095 100.15323 109.77119  93.28596 106.05766 106.60153 102.89679
##  [8] 110.90951  98.66598  79.93922
## 
## [[575]]
##  [1]  96.63265 107.59269  81.25895  82.84886 100.22794 101.20619 112.19051
##  [8]  99.38536 105.07968 102.73283
## 
## [[576]]
##  [1] 107.44499 109.16153  86.66297  93.16505 109.18671  78.33008  74.31135
##  [8] 101.36215 100.33537  96.52576
## 
## [[577]]
##  [1] 108.48284 111.92263 109.93539  98.23392  99.72883 103.04963  78.73791
##  [8]  89.95819 107.96863 102.47120
## 
## [[578]]
##  [1]  86.97326 112.88978 104.89781  93.97647 100.11292 100.66832  97.02131
##  [8]  98.17167  98.51710 106.60093
## 
## [[579]]
##  [1] 109.99654 105.52109 117.45885 106.20484 103.22624 108.40445  98.64288
##  [8] 107.32306 120.05172  97.91911
## 
## [[580]]
##  [1] 110.34467 100.24837  92.52107 111.33690 104.59164  96.83190 117.61592
##  [8]  81.43418  99.37145  97.91575
## 
## [[581]]
##  [1]  98.69165 101.21222 118.61736  79.24503 110.37201  92.39659 109.42172
##  [8]  95.52591 108.61708  97.78075
## 
## [[582]]
##  [1]  93.89548  87.71772  90.02396  96.37115  99.59651 105.14332  99.23750
##  [8] 112.32421  87.60133 105.54875
## 
## [[583]]
##  [1] 109.16667 105.10265  98.70963  94.94630  85.90389  84.56341 106.98620
##  [8]  96.81874  84.85705 105.15379
## 
## [[584]]
##  [1] 107.89607  78.48997 118.38219 112.35085  87.33740  91.95779 102.08349
##  [8] 103.64412  88.09467  93.62895
## 
## [[585]]
##  [1] 130.83740 109.37498 113.90538  92.06575  96.92367  86.48622 103.62437
##  [8]  99.49751 123.11819  96.81837
## 
## [[586]]
##  [1] 100.10704  90.58814 102.30342  92.16149  89.61551  98.95805  90.96697
##  [8]  91.37511 105.09764 110.88880
## 
## [[587]]
##  [1] 108.68984  99.94827 100.91041  92.42454 102.95147 109.98705  90.28109
##  [8] 109.99246  93.50303 104.30203
## 
## [[588]]
##  [1]  86.11558 101.71146 113.10701  99.21754  84.17237 116.31366  91.78079
##  [8]  90.19497  93.84496  90.04436
## 
## [[589]]
##  [1] 101.97234 103.33169  96.38896 108.22325 104.45794  87.20859 106.59618
##  [8]  87.01004  99.16221  97.26526
## 
## [[590]]
##  [1]  92.01137 111.26198 100.25803 105.18567  99.54805  91.15695 105.81195
##  [8]  92.03147 108.49551 124.17071
## 
## [[591]]
##  [1] 103.43170 106.74747 104.37214 112.50950  87.50818  90.43413 100.73920
##  [8]  99.40265  88.49132  82.46203
## 
## [[592]]
##  [1]  95.28368 116.45175 122.44164 108.35205  83.79673 107.49615  94.59816
##  [8] 101.28003 106.77510 116.59933
## 
## [[593]]
##  [1] 101.34385  92.96579 107.64942 108.19764 109.03844 111.43791 102.88754
##  [8]  90.56736 101.33218  82.37863
## 
## [[594]]
##  [1] 111.50805 105.05667 107.02696 101.61088  76.08776  93.90313 109.44324
##  [8]  97.26306 108.37036  90.62376
## 
## [[595]]
##  [1] 102.58121  94.51973  93.50845  98.14164 117.14761 101.72215 102.22438
##  [8] 115.91841  97.12305 105.17725
## 
## [[596]]
##  [1]  92.76909 108.48356  86.53019  99.44174 111.27718 113.38440  99.13529
##  [8]  76.10256 116.45249  93.77458
## 
## [[597]]
##  [1] 107.18177  83.03357  95.53846 116.31061 103.42936 103.43554 108.97984
##  [8]  86.35266 100.31777 104.74875
## 
## [[598]]
##  [1] 111.32840  91.90601 102.34240 106.66254 137.15721 115.89868  76.29413
##  [8] 100.17227 101.91082 108.18162
## 
## [[599]]
##  [1]  93.00772 109.96452  93.07255  98.96517 106.03866  93.91955 100.84866
##  [8] 115.77990  95.36346  88.41473
## 
## [[600]]
##  [1] 107.23686  92.15459  97.31600 105.07799 104.61331 111.79450  93.20604
##  [8]  96.81388  93.41981  98.37384
## 
## [[601]]
##  [1] 119.89349  99.38948  99.72190 105.11526  87.83247 109.53601  99.41636
##  [8]  92.95054 103.74316  98.16833
## 
## [[602]]
##  [1]  98.48385  98.85125 115.47205  94.47090 109.54260 101.64420  97.22275
##  [8]  93.55580  96.32894  97.24087
## 
## [[603]]
##  [1] 110.90622  92.18627 116.43324  98.29215  93.46358  92.92090 101.88105
##  [8] 117.48035  97.75739  99.04284
## 
## [[604]]
##  [1] 102.05072 100.63412  92.58336 109.88291  87.69476  90.19920  95.84569
##  [8]  97.21559 110.54099  93.76941
## 
## [[605]]
##  [1]  98.21808  96.67614 116.03884 114.48821  89.41600 104.36514  87.02799
##  [8]  91.70927  94.18389  91.52698
## 
## [[606]]
##  [1] 102.28593  96.86814 103.06202 112.29638 111.71103  79.28711  97.45588
##  [8] 104.76397 111.64836  94.29485
## 
## [[607]]
##  [1] 101.27828 116.32059 101.98994 118.75903  77.83245 120.33878  76.25014
##  [8] 111.33083 110.63223  96.20093
## 
## [[608]]
##  [1]  96.68999 103.55548 101.69889 102.39239 113.14007 102.29275  79.35745
##  [8] 104.16274  96.77269 108.42914
## 
## [[609]]
##  [1]  91.25061  97.49430  84.62116  85.16466  82.55262 100.24236  72.58386
##  [8] 112.54509  93.49379 100.14670
## 
## [[610]]
##  [1] 111.98102 103.01219 104.21689  93.63390  87.05742 106.41573  97.96994
##  [8]  99.99962  91.75405  94.43291
## 
## [[611]]
##  [1]  77.08572  83.47630  84.28749  98.19695  89.33600 103.89091 100.35234
##  [8]  95.01545  83.94568  93.29068
## 
## [[612]]
##  [1] 108.92726 104.76799  96.88133  77.55641  95.13799  70.75709 117.73843
##  [8] 100.33712 112.61066  98.26039
## 
## [[613]]
##  [1] 120.75549  91.01358 108.37990  99.89056 107.27130  86.74769 122.38163
##  [8] 103.02436  95.03287  88.13775
## 
## [[614]]
##  [1]  84.74658  81.83663  82.82460 100.39712 111.21556 103.53916  80.67905
##  [8] 100.85753 115.00068 110.14688
## 
## [[615]]
##  [1] 118.43909 104.19582  67.10624 106.42383 102.13094  82.81711  98.68548
##  [8]  93.28121  95.56535 104.71271
## 
## [[616]]
##  [1]  94.08136  93.48084  85.43236 101.72285 105.50966 105.71722 111.89179
##  [8]  76.34666 100.33224  86.65702
## 
## [[617]]
##  [1] 106.08786 100.80025  89.31272  96.22446 114.02881  94.58558  82.75079
##  [8] 110.89195 111.69764  93.92843
## 
## [[618]]
##  [1] 116.54123  98.33919  87.25981  96.93959 102.54340 105.62471 103.85139
##  [8] 112.36179 102.30932 105.16775
## 
## [[619]]
##  [1] 110.25579  98.33686  92.08433  97.17848  86.66634 100.49697 105.03798
##  [8]  89.52872  91.30529  88.91581
## 
## [[620]]
##  [1]  99.59554 114.16575  93.67306  93.71442  99.74674  90.24524 110.14972
##  [8]  96.98093 111.31054 106.39452
## 
## [[621]]
##  [1] 107.94959  85.20863  83.19319 100.58975  96.41696  96.60750  98.97802
##  [8] 116.00584  95.38197  93.82376
## 
## [[622]]
##  [1] 116.27339 102.23655 102.42420  87.04967 107.49242 111.68655 107.14293
##  [8]  88.50433 114.50375  97.02217
## 
## [[623]]
##  [1] 118.36611 104.64740 104.16279 120.07674 112.08334 104.60690  92.13936
##  [8] 109.01634 107.68716  94.86842
## 
## [[624]]
##  [1]  97.80839  97.24857  83.56228 106.78266  85.11391 103.45458  84.53453
##  [8] 109.56414 108.22379 118.72458
## 
## [[625]]
##  [1]  88.14171 109.54900  97.84575 102.15958  95.85836 104.15046  88.88655
##  [8]  90.97869 108.20607  71.13851
## 
## [[626]]
##  [1]  97.27227  95.55969 107.46511 104.30621  86.45742 114.82880 110.55728
##  [8] 114.37735  90.27100 119.04618
## 
## [[627]]
##  [1] 112.05622 111.56798  87.89827  99.31971 101.88279  86.31492  97.98530
##  [8] 107.77501 103.14903 102.41265
## 
## [[628]]
##  [1] 114.46806  92.45376 107.93090 110.67629  86.92879  80.09312 109.60575
##  [8]  97.49284 123.95201 103.18634
## 
## [[629]]
##  [1]  99.72465  82.69082  91.90603  86.21300 128.48744  87.20370 106.21393
##  [8] 113.41494  96.76188 101.44383
## 
## [[630]]
##  [1]  89.18147  99.94023  96.38994  92.46655 105.96977  91.67261  84.54975
##  [8] 108.22990 102.01998  83.77152
## 
## [[631]]
##  [1]  92.96177 108.51246  90.02488 107.74895  96.72525  85.82043 104.70800
##  [8]  75.11096  93.53160  99.14016
## 
## [[632]]
##  [1] 102.50922 102.57004 101.14575 113.84960 117.14631 118.31945  86.88687
##  [8]  91.93539  87.41318  95.81554
## 
## [[633]]
##  [1] 103.05341 101.87062  97.68808  98.44699  95.81916  91.39350  92.66353
##  [8]  91.70949  94.92789  86.05459
## 
## [[634]]
##  [1] 112.32876 119.51117  86.91116 112.55521 101.13244 100.26755 100.58457
##  [8] 104.57154 101.02714  91.39083
## 
## [[635]]
##  [1] 101.38100 108.74540  97.64090  87.75579  83.48697 106.22706  99.36079
##  [8]  94.06757 102.25603  93.04007
## 
## [[636]]
##  [1]  99.17631 102.85876  79.61107  90.15679  86.78363  87.62690 115.52502
##  [8] 111.83604 107.64336  96.29217
## 
## [[637]]
##  [1] 111.84529  87.78856  80.04026  69.72954 102.27314 100.36471  92.09909
##  [8] 104.89159 100.42367  96.97441
## 
## [[638]]
##  [1] 112.74222 114.39949 110.42425 105.96591  89.98535  97.51673  99.55594
##  [8] 101.49586 111.17913  85.80529
## 
## [[639]]
##  [1]  86.44381  99.39954  85.29092 111.16706  98.31853  73.07199  97.61521
##  [8] 102.11411  92.28749  87.34190
## 
## [[640]]
##  [1] 100.13026 112.23885  95.20538 111.10309 114.01204  87.35937 108.65613
##  [8]  98.92019 102.45762 117.55196
## 
## [[641]]
##  [1] 109.80495  95.17543  84.99168 103.63114 105.27573 112.13574 114.29398
##  [8] 102.15459 101.67553 104.40724
## 
## [[642]]
##  [1] 110.83446 101.67405  96.10947  89.45818 100.13639  99.84723 100.00419
##  [8]  96.05837  94.08998 109.25973
## 
## [[643]]
##  [1]  98.56530 115.58537  92.17056  81.56053  98.40027 109.11944  98.46520
##  [8]  84.21138  94.17330  99.60961
## 
## [[644]]
##  [1] 113.0431 111.2330 108.1112 104.7138  91.8640 108.1115 112.1840 107.4220
##  [9] 111.7654 103.0411
## 
## [[645]]
##  [1] 110.18551 114.03569  90.31716 115.19132 107.64868 107.05372 100.73548
##  [8]  90.44987  87.49910 103.02697
## 
## [[646]]
##  [1]  98.55664 110.65030  99.83679  96.28913 115.11371  97.34657  93.25540
##  [8] 106.71559 115.03220  90.23126
## 
## [[647]]
##  [1]  97.26783  96.54666 100.32795 103.31178 107.30069 110.47065  92.70358
##  [8]  99.86040 107.87606  94.05523
## 
## [[648]]
##  [1] 104.56319 117.44184  86.57489 107.24209  99.27773  89.98817 102.63313
##  [8]  99.50533  89.76237 100.19876
## 
## [[649]]
##  [1] 105.84448  98.02472 117.97494 115.62813  92.48738 113.78411 112.61468
##  [8]  93.52593 115.68890 116.65758
## 
## [[650]]
##  [1] 106.26183 108.92124  89.87385 118.64118  94.06337  96.39441 105.11571
##  [8] 101.03142 116.83084  92.65133
## 
## [[651]]
##  [1]  94.62243 102.63265 105.63587 129.28901  86.99973 111.16749 108.89579
##  [8] 111.02734  87.30954 103.63893
## 
## [[652]]
##  [1]  95.04210  82.46853  90.97785  89.56017 116.37715  92.92263 108.97976
##  [8] 106.05925  92.05284 105.38172
## 
## [[653]]
##  [1] 105.56373  88.47471 107.25121  99.94560  97.60570  91.14678  98.25939
##  [8]  89.15148  99.76011  98.67247
## 
## [[654]]
##  [1]  97.54710 111.13701  93.80892  98.67675 108.63848 113.20975  98.95761
##  [8] 100.65254 110.99134 103.19836
## 
## [[655]]
##  [1] 103.31827  97.39962 100.99819 100.07241 105.76012  98.54679  96.92811
##  [8]  99.25020  95.40780 115.48106
## 
## [[656]]
##  [1]  89.40196 112.12605  99.89554  79.79443  94.55124 111.55982  87.07080
##  [8] 101.32514  87.72028 100.81047
## 
## [[657]]
##  [1] 110.23721  97.94762 109.56998 107.28955 112.09444 113.32685 110.00410
##  [8] 103.90477 100.62288 101.37639
## 
## [[658]]
##  [1] 103.63315  90.99524  94.05702  95.01968  94.75821  97.18470  99.44497
##  [8]  92.05201  77.65675 120.17523
## 
## [[659]]
##  [1]  91.83527 110.22061  93.82352 104.99716  98.63153 106.01375  81.51038
##  [8] 102.37677  98.50691 113.87335
## 
## [[660]]
##  [1]  96.68679  96.11939  81.61047 101.64234 106.18906  97.65406  94.16688
##  [8] 103.60332  88.03657 103.14724
## 
## [[661]]
##  [1] 110.12387  98.35593  96.11708  96.50853 104.85924  87.27051  91.57649
##  [8]  85.06782  97.33077  99.62198
## 
## [[662]]
##  [1] 100.86094  98.32086  81.70729  87.22956  97.04080 102.75806 101.87965
##  [8]  89.51285 110.21678 100.45363
## 
## [[663]]
##  [1]  96.50770 102.68664 108.52790 106.02055  96.04045  88.18931 108.62934
##  [8]  89.54855  93.13552 111.45411
## 
## [[664]]
##  [1]  94.72839  97.44215 104.73075 113.35170  90.15856 107.43183  99.71355
##  [8] 114.21089 109.60599  99.53588
## 
## [[665]]
##  [1]  92.45260  87.01711  89.90052  95.57745  87.92434  98.56552  94.64258
##  [8] 119.78066 110.99746 105.08280
## 
## [[666]]
##  [1]  94.41508 120.16854  97.21325  99.63136  80.69775 110.94566  99.45228
##  [8]  89.84474  99.92271 110.77273
## 
## [[667]]
##  [1] 100.81661 103.03400 110.59793  90.83072  97.50718 106.90309  86.04869
##  [8] 111.97261  89.22132 102.68726
## 
## [[668]]
##  [1] 101.77304  94.05704 102.16361  98.07761 108.93945  86.54755 112.97692
##  [8]  97.47171  92.58219  89.37051
## 
## [[669]]
##  [1] 110.79916  84.61424 101.37965  94.03830  92.31487  98.39251 100.58781
##  [8]  96.30975  92.52325 107.29049
## 
## [[670]]
##  [1] 106.61119 116.48819  90.11254  89.91875  91.84794  88.52635 119.84132
##  [8]  74.90457  85.88196  92.40666
## 
## [[671]]
##  [1]  97.60366  98.52055 110.14811 112.80793  89.58459 102.25096  83.11996
##  [8] 108.91521  91.25713 104.44844
## 
## [[672]]
##  [1]  90.05036 100.16893  99.92575  89.27231 103.79613 132.75908 100.20357
##  [8]  95.83781  94.84813  96.39499
## 
## [[673]]
##  [1] 101.68807  91.28248 115.21638 106.02384 109.23413 113.83658  89.10654
##  [8]  90.63078 103.28528  95.20106
## 
## [[674]]
##  [1] 105.11161  99.30239 107.05940  83.92928 107.02752  81.54468  99.81668
##  [8] 104.70500  92.05143 115.00700
## 
## [[675]]
##  [1] 102.18127  83.90241 115.61941 103.10591  97.23834 107.25000  87.49785
##  [8] 100.01671 102.83132  70.78704
## 
## [[676]]
##  [1]  95.89911  93.09381 103.55527 111.13193 101.47656  91.97833  99.23212
##  [8]  89.89772  89.91497  74.96593
## 
## [[677]]
##  [1]  97.39033 105.87795 102.71446  89.51419  95.31553 111.30692 107.39337
##  [8] 105.39498  96.78836  99.47298
## 
## [[678]]
##  [1]  88.85752 100.38920 104.04575 100.54811 102.14650  75.95351 102.86457
##  [8]  96.72731  87.38479  96.98564
## 
## [[679]]
##  [1] 101.89951  90.44564 100.21324  88.21166  89.18325 118.14146 107.74055
##  [8]  84.20675  97.62351 101.31156
## 
## [[680]]
##  [1]  96.92534 110.95209 122.58792  94.20984 108.44733 111.18292 104.06152
##  [8] 104.70349 112.26180 101.20934
## 
## [[681]]
##  [1]  80.21736 104.47249  87.12234  93.87828  97.60482  78.77888  98.16405
##  [8] 108.87107  93.77193  85.13509
## 
## [[682]]
##  [1]  96.98068  94.26535 103.10874  93.78439  92.98737 103.57691 104.95845
##  [8] 111.45005 110.65392  93.44427
## 
## [[683]]
##  [1] 109.05596  86.75262 101.60043  80.12738 104.04704  89.26571  99.26185
##  [8] 102.74033  85.00130 108.97805
## 
## [[684]]
##  [1] 110.96487 102.77361  87.64825  85.15323  84.96474  95.53677  98.93258
##  [8] 103.53124 107.95711  94.81518
## 
## [[685]]
##  [1] 111.01091  96.30232  84.99243 107.13490 105.56979 101.17951 104.91199
##  [8] 114.30103  96.69889 110.10001
## 
## [[686]]
##  [1]  94.49143 113.84817  98.34403  97.67196 106.20238 106.07285 114.41065
##  [8] 104.69983 110.07826 106.84012
## 
## [[687]]
##  [1]  95.20026 112.67289  90.31771 110.21365  91.04833 109.78939  98.88004
##  [8] 100.35095 119.31439  92.39783
## 
## [[688]]
##  [1] 110.47451  93.20843 100.24934  98.76636 119.41402 112.72195 100.75377
##  [8] 101.34274 100.81715  86.21685
## 
## [[689]]
##  [1]  83.15929  98.12854  97.94722  92.73515  91.07683  99.47339 117.83782
##  [8]  96.48993 111.27335  97.53611
## 
## [[690]]
##  [1] 103.09517 121.73878 102.94942  93.51601  82.93470  94.86912 109.97867
##  [8]  95.34594 108.15357  97.59596
## 
## [[691]]
##  [1]  85.97549  81.03904  89.89764 100.07415  95.03234  92.12736 100.89641
##  [8]  89.07196 109.68543  94.02125
## 
## [[692]]
##  [1]  98.25852  90.96379 105.47558 103.74792  95.55064  80.30652 101.59959
##  [8] 104.25828 104.90956 110.49480
## 
## [[693]]
##  [1]  91.80203  92.61619  87.20849 108.57548  95.40419  92.02257  99.53846
##  [8]  98.09024  93.64664 119.66445
## 
## [[694]]
##  [1]  92.59492 111.41400 106.00031 118.16364 101.09872 100.09028  93.83812
##  [8]  87.98193  96.98357  94.06871
## 
## [[695]]
##  [1]  94.84007 103.72836  95.52830  65.86212  97.91002 101.88238  99.29328
##  [8] 102.01011  95.49655 109.52372
## 
## [[696]]
##  [1]  96.61060  95.41257 109.24743 111.92787  95.81092  98.73361  92.89839
##  [8] 101.29868 117.43492 108.76237
## 
## [[697]]
##  [1] 106.45641 104.66623  97.88393  83.34022 107.49030 101.44885  94.81217
##  [8] 113.11282 108.45614 112.09961
## 
## [[698]]
##  [1] 107.47428  92.37867  97.45046  80.89554  97.98792  82.22044 101.12229
##  [8] 101.54354  93.81713  99.76753
## 
## [[699]]
##  [1]  83.81963 103.79181 119.02250 106.01874 117.32350  98.53130  97.27132
##  [8] 111.47490 105.05400 108.01037
## 
## [[700]]
##  [1]  98.64739  99.52370 102.50103 100.43554 107.91446  96.32052  90.79815
##  [8] 114.79586  92.62144 102.88344
## 
## [[701]]
##  [1]  81.39190  93.56298 124.21380 100.91472 108.16441 105.43143  85.80293
##  [8] 108.59360  89.78308 107.12890
## 
## [[702]]
##  [1]  87.94386  99.68441 105.30265  96.73915  98.55275 105.72953 107.20224
##  [8] 115.17888 128.24719  98.87262
## 
## [[703]]
##  [1] 113.29461 106.92659 100.69944  99.47162  90.03398 109.91034 110.37041
##  [8]  94.98046  87.98749 100.30288
## 
## [[704]]
##  [1] 111.17063 117.40679  94.43468  98.79818 117.13233  95.97039  89.89722
##  [8] 103.48798 123.77728  92.47837
## 
## [[705]]
##  [1]  95.26914  98.96112 100.59078  96.11150 104.78360  93.43910  98.65349
##  [8] 106.75958 101.31910 106.89809
## 
## [[706]]
##  [1]  86.09356  91.69767  98.45198  84.25537 101.90549 109.21529  98.68740
##  [8]  83.59603  97.52083  86.99908
## 
## [[707]]
##  [1]  97.34664  85.99208  79.57297 108.51779 102.59731  88.35792  85.87941
##  [8]  87.71697  94.63136 112.01405
## 
## [[708]]
##  [1] 103.79542  90.42598 109.77791  86.08715 116.77406  97.49518 114.32384
##  [8]  89.83216  99.69570  94.89604
## 
## [[709]]
##  [1] 103.40872  90.29665  87.75208  90.50300 117.65888 102.40161 110.28577
##  [8]  92.37739  98.88640  99.07917
## 
## [[710]]
##  [1]  97.24326  98.61311 102.95846  92.07590 107.70284 117.95203  99.39551
##  [8] 105.19887 102.10473  99.63160
## 
## [[711]]
##  [1] 104.47906  99.42656  91.30565  99.11090 112.16967 105.69933 103.95380
##  [8]  98.86157 105.52906  79.70440
## 
## [[712]]
##  [1]  99.31305  85.02328  95.94544  85.99709 112.67508  93.11288  95.11348
##  [8] 112.35309 108.13250  96.57432
## 
## [[713]]
##  [1]  79.80167 108.37010  96.26652  92.94086  94.60750  88.80516  85.81111
##  [8]  89.87747 110.83139  89.54700
## 
## [[714]]
##  [1]  96.76135 105.24438 104.45658  80.50990 114.61724 101.77941 109.99696
##  [8]  90.62708  95.51770  97.31066
## 
## [[715]]
##  [1] 106.52135  87.78910  95.20822 106.25165 110.94204  90.94721 114.12114
##  [8]  98.67391  98.07550 106.73253
## 
## [[716]]
##  [1] 108.76164  92.41654 108.64580  90.51037 108.38568  94.69584  92.13091
##  [8] 110.59019 104.70278  87.82025
## 
## [[717]]
##  [1] 108.70230  97.32574 105.68429 104.57146  90.30040  98.85175  99.76553
##  [8]  95.65855  80.05666  94.92333
## 
## [[718]]
##  [1] 104.90277 109.66105 111.45153 107.13770  97.98321  96.54249  94.19239
##  [8] 109.38766  93.96530 102.03514
## 
## [[719]]
##  [1] 109.28233 103.59090 101.86757  95.80155  88.34020  97.23262  91.43742
##  [8] 101.39424 100.31525  96.63479
## 
## [[720]]
##  [1] 105.79936 114.54623 100.55510 105.41030  89.73899  98.99997 100.30973
##  [8] 104.58412 103.84593 101.73953
## 
## [[721]]
##  [1] 103.91492  91.13475 101.90932  83.72412 109.10026 106.84047  99.50480
##  [8] 116.87933  94.51765 112.72351
## 
## [[722]]
##  [1] 107.01140 121.89650 112.69030 107.61465 105.82757 105.33986 108.63511
##  [8] 107.63324 112.00375  98.59609
## 
## [[723]]
##  [1] 117.70078  99.74349  86.94206 112.75197  85.77487 100.38326  91.51610
##  [8] 113.07569 106.65223  93.17293
## 
## [[724]]
##  [1] 110.66103 102.17927 106.97800 109.11637  94.92865 102.67385  74.73080
##  [8]  96.48777 108.46335 110.18848
## 
## [[725]]
##  [1] 105.94546 102.46857 107.48587  90.72052  93.25561  90.87465 103.51893
##  [8] 100.62781 103.93917 103.90902
## 
## [[726]]
##  [1] 111.61276 117.41979  86.90865 104.34757  93.91907 114.10778 106.99358
##  [8] 111.91612  87.63704 100.82301
## 
## [[727]]
##  [1] 116.12845  91.34565  90.04810  98.56600  93.31727 108.33228  95.77868
##  [8]  97.91349  86.51135 103.53949
## 
## [[728]]
##  [1] 106.74246  87.16316 114.49585  90.71293 104.55764 101.73655  91.25580
##  [8]  94.47811 109.49000  99.34105
## 
## [[729]]
##  [1]  98.37547 109.28617 103.80701  97.63781 101.90561  86.68063 102.60900
##  [8] 121.90675  97.76449  94.41772
## 
## [[730]]
##  [1] 113.74859 108.34480 114.18258 105.92403 104.09671 106.88856  91.44108
##  [8] 102.69124 104.40312 118.66602
## 
## [[731]]
##  [1] 108.57132 116.36683 100.58683  91.58714  91.85845  87.11007  82.03760
##  [8]  96.22846  95.19150 114.17176
## 
## [[732]]
##  [1]  83.73806 101.58957  95.72032 106.57259 107.72936  91.60200  98.30040
##  [8]  97.84046  89.47823 101.17763
## 
## [[733]]
##  [1]  96.35334  93.50299  89.82421 100.58176 100.78833  93.55860 115.99921
##  [8]  88.39016  98.10684  92.72722
## 
## [[734]]
##  [1] 108.56031 111.15763  75.38796  94.19776  80.96573 118.36691 101.39266
##  [8] 104.38841 100.16667  84.43104
## 
## [[735]]
##  [1]  84.15359 108.81421 103.62035  92.70143  85.71310 106.92404  90.94208
##  [8]  97.01108 107.88320  91.16390
## 
## [[736]]
##  [1]  86.75797 119.32666  94.77240 117.92343  95.33802 104.27162 105.23184
##  [8]  88.22830  92.62861 118.66404
## 
## [[737]]
##  [1]  99.76324 110.60549  83.60487 109.33087  96.97067  98.24007  94.62770
##  [8]  99.27345 101.91758  82.66748
## 
## [[738]]
##  [1]  91.98381 104.51812  98.78068 101.04269  97.01087 112.18245 100.01981
##  [8]  99.20666 106.90112 122.96231
## 
## [[739]]
##  [1] 105.44652 111.59620  91.74280 100.73748  95.06784 108.94698 101.44196
##  [8] 106.41987 126.81775  93.42081
## 
## [[740]]
##  [1] 105.53269  89.71085  92.69209 111.06920  99.16772 103.52994  92.83666
##  [8]  98.69914  90.12243 105.93446
## 
## [[741]]
##  [1]  90.84727  96.80716  95.68652 101.55201  95.97055  87.04867 102.80099
##  [8] 107.62911 116.70498  85.47195
## 
## [[742]]
##  [1] 114.25077  89.75909  98.13195  87.88935 115.28559 101.39643  99.57287
##  [8] 104.36840 128.56131  93.43526
## 
## [[743]]
##  [1] 104.47833 100.97080 101.70982 111.15034 102.02854  99.21211 103.15623
##  [8]  92.86253 118.75015 118.59752
## 
## [[744]]
##  [1]  92.03475  81.11721 119.51696 104.92345  85.93431  91.89136  89.70463
##  [8] 101.31431  97.24659 113.74795
## 
## [[745]]
##  [1] 118.61642 109.09581  99.78776 111.17669  92.52388  93.50301 100.24421
##  [8]  98.14493  92.24680 103.71214
## 
## [[746]]
##  [1]  93.75057 111.34238  96.48701  96.39070  99.36097 113.61922 106.11075
##  [8] 103.64213 110.25079  89.15735
## 
## [[747]]
##  [1] 111.46732 100.08754  85.56496  94.11842  96.34350 115.19638  80.02561
##  [8]  96.53087  90.35111 102.69592
## 
## [[748]]
##  [1] 100.18189 110.55592 109.91049 107.12670 117.95645  89.18313  95.07466
##  [8] 109.64597  94.16936  87.50759
## 
## [[749]]
##  [1] 103.50003 108.14442  94.83334  73.07736  89.03045  87.44525  93.62789
##  [8]  96.09084 109.94422  85.76980
## 
## [[750]]
##  [1]  93.88991  92.61183 114.29072  85.08415  84.54272 110.39556 100.34147
##  [8]  94.17508  92.78632  74.15104
## 
## [[751]]
##  [1] 102.71229  98.58007 111.03917  95.23904 110.09050 102.52456 107.41050
##  [8]  82.04026 109.91713 107.82988
## 
## [[752]]
##  [1] 113.13552  99.44238  89.15163  98.58025 107.54743 108.81568 113.29658
##  [8]  99.33636 115.78598  92.11587
## 
## [[753]]
##  [1]  73.20563 102.28814  99.64523  86.95967 101.37886  87.63903  91.64569
##  [8] 113.99265  69.41877 103.19838
## 
## [[754]]
##  [1]  95.43144  93.77843 101.30614  95.17300  94.66065  86.12628 115.99224
##  [8] 109.05380  87.31419  96.86379
## 
## [[755]]
##  [1] 106.59389  94.36614 100.44867 101.17081 116.30564  92.15008 107.66974
##  [8]  94.06579  97.23515  99.50208
## 
## [[756]]
##  [1] 103.12163 101.06991  95.18578  99.87290 102.53135 104.18050  86.58383
##  [8]  97.79127 118.01593  94.31782
## 
## [[757]]
##  [1] 100.52001 109.95726  87.80079  86.80772 111.70188 106.28303  88.95111
##  [8] 114.77725 110.07955 117.49528
## 
## [[758]]
##  [1]  87.90383 110.41710 100.98162  80.87383  91.54606 107.38741 107.67169
##  [8]  85.25444 100.12682  81.35948
## 
## [[759]]
##  [1] 108.85298 104.92430 117.47074  97.38001 104.99755  93.11101  90.17420
##  [8] 109.80700 109.23316 103.30687
## 
## [[760]]
##  [1] 104.56663 103.16942 104.09147 101.89342  86.80591  79.98790  86.81848
##  [8] 112.46549  88.80217 106.00113
## 
## [[761]]
##  [1] 107.98222 101.83881 103.23803 106.50494 115.82980  99.98047  96.91178
##  [8]  93.76877 109.38156 101.02679
## 
## [[762]]
##  [1] 110.87980  86.48800  95.44219  97.49164 105.05347 106.54022  97.84638
##  [8] 102.26742  88.42661 120.32800
## 
## [[763]]
##  [1]  97.41379  99.01820  96.46839  90.06895 108.68923  81.83616  96.81152
##  [8] 101.24841  85.31008 110.68509
## 
## [[764]]
##  [1]  95.17820 106.59615  81.82364  97.21417 100.67735  86.49309 109.19474
##  [8] 102.72528  99.05384 101.78304
## 
## [[765]]
##  [1]  99.46090 106.70286 101.82138 115.38611  95.83447 108.74317 101.40984
##  [8] 121.61787 100.27619 101.28343
## 
## [[766]]
##  [1]  96.47398  79.13122  80.26134  98.63963 100.92193  93.09736 106.15682
##  [8] 113.61826 117.13136  78.20449
## 
## [[767]]
##  [1] 108.09848 109.46647 106.92901 111.27857  98.52603  97.12047 110.19328
##  [8]  93.23383 108.92826  91.98314
## 
## [[768]]
##  [1]  94.12822  93.00585 108.82788  99.40112 105.38142 123.76044  90.05892
##  [8] 113.27190 106.23760 100.15416
## 
## [[769]]
##  [1]  88.18779 128.45465  83.41425  92.35308 111.25920  84.46131 104.40201
##  [8]  84.33428 104.53151 121.76712
## 
## [[770]]
##  [1] 101.98313 104.81208 107.26532  92.04102  90.39582  94.68715 103.56689
##  [8]  89.27781  99.24252 107.99591
## 
## [[771]]
##  [1]  94.51929  99.43188 101.74739  83.88890  98.34199  87.95076  97.45825
##  [8] 105.06151 106.26969  91.10565
## 
## [[772]]
##  [1]  87.96147 117.77208  80.81541  88.90132  96.75158  99.27280  93.70901
##  [8]  86.46654  99.06087  87.15677
## 
## [[773]]
##  [1]  95.02073 104.22550 110.30190 111.01095 109.10031  97.24554  82.44015
##  [8]  84.38136 106.85282  77.13591
## 
## [[774]]
##  [1] 107.41671 100.20067 119.14140  99.89347  78.56379 108.24360 110.94385
##  [8]  95.89766  97.05008 104.03942
## 
## [[775]]
##  [1] 102.55442  99.85650 100.55254 119.83125 110.98606 120.47589  95.95718
##  [8]  95.88321  96.89732 107.21284
## 
## [[776]]
##  [1] 117.83505 104.22693  96.82055 103.08253  96.64176  98.09408  90.30628
##  [8] 101.42580  95.80101  89.83710
## 
## [[777]]
##  [1] 100.11630 104.81307  98.41977  97.46798  97.64487 109.88126 107.25062
##  [8]  99.73662  90.91525 100.51934
## 
## [[778]]
##  [1]  87.31603 110.97145 103.69836 114.87927 110.91277 104.59172  95.34990
##  [8]  98.82527  88.08948  98.00438
## 
## [[779]]
##  [1] 111.63263 101.67896 101.61522  95.65755 113.24752 105.26763  91.49652
##  [8] 102.88478 111.07590  97.39560
## 
## [[780]]
##  [1] 100.40226  96.52743 112.85718 101.18742 126.29512  80.22754  99.54076
##  [8] 108.90516  97.42268 120.66845
## 
## [[781]]
##  [1]  99.88867  89.65709  95.60279  97.73974 101.06434 101.61425 114.88766
##  [8]  93.13974  95.37647  99.89104
## 
## [[782]]
##  [1]  88.46947 102.08132 102.82312  87.99191  87.52592  99.30709  93.20083
##  [8] 107.21209  94.35675  99.21379
## 
## [[783]]
##  [1] 104.42191  92.29396 109.21097 103.05361 122.55690  96.83172  80.28703
##  [8] 111.71932 100.09805 116.05414
## 
## [[784]]
##  [1]  90.33606 126.38965 114.16329  97.96930 111.15785  99.21558 119.87321
##  [8]  94.04176 101.70050  89.67974
## 
## [[785]]
##  [1]  99.09345  90.95685 117.38198  96.77086  94.02254 111.24924  82.68672
##  [8] 110.55084  92.88749 101.91068
## 
## [[786]]
##  [1]  86.62148 106.20409 109.67863 103.47548  93.35395 105.91886  97.70313
##  [8] 101.83267  95.65187 124.35412
## 
## [[787]]
##  [1]  82.38012 106.32021 119.11655  91.54460  82.93316  87.80548 101.12424
##  [8] 114.17070 106.79758 101.65224
## 
## [[788]]
##  [1]  89.88380  92.47255 100.68049 100.67991  98.44589  81.53992 102.51691
##  [8]  97.66443  84.15963  82.62010
## 
## [[789]]
##  [1] 101.64525  90.98550  81.68854  99.03036 104.92363 110.29039  90.07306
##  [8]  99.65249 111.29817  85.11069
## 
## [[790]]
##  [1] 111.42090 118.23192  92.62127  98.64714  61.54680  80.17115 113.01896
##  [8]  70.89436 100.97940  89.22040
## 
## [[791]]
##  [1]  97.66787  93.81411  98.08957  98.50965 104.34648  97.05087 111.00820
##  [8]  89.45866  99.50190  78.98338
## 
## [[792]]
##  [1] 104.89214 101.47605 107.93815  86.06432  94.56784  87.90803  99.20983
##  [8]  91.76706  96.98640 111.16271
## 
## [[793]]
##  [1] 118.44683  80.68692  86.42501 111.75287 100.76643  90.10576 106.95447
##  [8]  88.36368  98.55356 103.69379
## 
## [[794]]
##  [1] 107.91189 106.77205 105.47186 104.09496 109.71320  96.48479  89.08809
##  [8] 104.12062 103.73358 109.89546
## 
## [[795]]
##  [1]  89.96737 103.51394  95.51355 106.54969 111.39800 108.46194  89.78495
##  [8]  91.29959  93.88033 104.39969
## 
## [[796]]
##  [1]  92.88034 102.10288 111.09986 105.43334 112.48292 100.88269 102.63863
##  [8]  90.16950 106.30907  82.63221
## 
## [[797]]
##  [1]  86.44542 103.64015  90.80051 103.72360  87.03424 100.26588  83.08366
##  [8] 104.74114  82.40834 102.66806
## 
## [[798]]
##  [1] 100.10418 109.32390 123.72065  82.06698  96.38514  93.38590  93.18870
##  [8]  87.10630 104.84367 102.23443
## 
## [[799]]
##  [1] 105.11000 118.07993  82.97385 102.87449  97.30886  96.20475  93.05618
##  [8]  98.06457 109.36894  91.77929
## 
## [[800]]
##  [1]  96.89753 104.21160 104.52656 117.48382  96.99938  98.23467  82.17976
##  [8] 113.12015 107.30840 109.92334
## 
## [[801]]
##  [1]  90.00500 115.23708  93.06491 115.08263  99.60918 105.77907 101.47945
##  [8]  91.57526  98.39196  94.70175
## 
## [[802]]
##  [1]  89.79217  98.58034  91.12827  99.81211 101.83730 107.17669  91.50011
##  [8] 106.74090 100.04654  96.39848
## 
## [[803]]
##  [1] 111.17842 102.47224  92.11449  87.32121 103.41368  92.41988 118.08070
##  [8] 105.44793  72.63326  89.77450
## 
## [[804]]
##  [1]  87.54215  89.83358  83.51961 105.21127 103.76948 104.25304 111.23422
##  [8]  99.64648 114.38506  88.72038
## 
## [[805]]
##  [1]  93.14592  92.22073  96.22105  90.96082 106.43148  98.71891 111.10947
##  [8]  84.73959  84.68609  93.20833
## 
## [[806]]
##  [1]  91.26627  84.79016 103.92481 106.69879 113.18415 105.12023 104.31391
##  [8] 113.04155  96.10864 101.27641
## 
## [[807]]
##  [1] 102.89348 123.72743 104.30066  92.14512 104.67128  88.53977  88.84873
##  [8] 112.10668  88.27126  84.33433
## 
## [[808]]
##  [1]  95.29770  93.67314 103.13250  97.60162 126.46451 113.33402  80.05072
##  [8] 103.19367  95.88682 107.75515
## 
## [[809]]
##  [1]  89.83848  94.80017 100.70588 104.09644  83.45183  96.07376  79.59866
##  [8] 105.40665  93.34679 113.80520
## 
## [[810]]
##  [1] 111.81858  92.18290 103.52178 111.70223 104.62580  88.89722  80.25478
##  [8] 102.45202  92.81076 113.72844
## 
## [[811]]
##  [1]  91.79382 106.50458 109.36317 107.96137  83.11933  85.26959  95.07201
##  [8] 110.42228 112.42340 118.57857
## 
## [[812]]
##  [1]  90.70658  93.46793  99.75588 112.46794  80.86221  87.77169 117.49074
##  [8] 107.83973  78.64418 110.73112
## 
## [[813]]
##  [1] 103.85901  93.01017  99.94312 106.35906 103.52564 107.95670 115.36952
##  [8] 103.90113  85.19366 100.61579
## 
## [[814]]
##  [1]  76.24250  97.57333  92.00934  90.74514  93.84733 138.47768  90.00301
##  [8]  90.88313  96.18920  96.16003
## 
## [[815]]
##  [1] 133.97894  99.73929  98.50160  95.31650 111.25797  97.87980 104.70019
##  [8] 101.08873  84.38575  91.88737
## 
## [[816]]
##  [1] 100.01149 112.03108 103.11693 101.30598  91.94837 109.26088 109.47017
##  [8]  96.78202 107.72423  97.58389
## 
## [[817]]
##  [1] 102.12771 108.25595 105.63049  92.47632 103.78200  94.74876  98.09449
##  [8]  90.97881  99.75940 108.72397
## 
## [[818]]
##  [1]  96.87538 107.20717  98.97171 105.59022  84.45802 107.09923  93.48404
##  [8]  95.61919 102.59304 104.91537
## 
## [[819]]
##  [1]  95.04768  89.68125  93.06174  87.33246 111.23202 103.80870  99.87810
##  [8]  89.64387 108.59687 101.89993
## 
## [[820]]
##  [1]  82.74124  96.12334  96.81199  96.75697 100.30053 103.92322 111.95631
##  [8]  98.86423  93.69941  88.12501
## 
## [[821]]
##  [1] 103.35647  95.72466 106.11499  91.29598  97.04949  87.42155 105.54534
##  [8]  97.95588 127.95223  95.62367
## 
## [[822]]
##  [1]  91.87248 119.63029 119.28462 115.34180 103.19944 107.35768 109.26873
##  [8] 111.27243  93.34530  92.09063
## 
## [[823]]
##  [1] 110.87667  88.26696 103.88893  92.65484 120.47724 109.74612 105.27680
##  [8] 101.96198  91.90564  95.21816
## 
## [[824]]
##  [1] 100.98272 102.22764 103.26388  73.98731 103.53844 105.85548 111.02463
##  [8] 115.64429 108.77081 110.14624
## 
## [[825]]
##  [1]  95.77893  94.53292  91.35006 116.33887  79.54332 102.56732 100.39982
##  [8] 104.43885 108.40796  86.38778
## 
## [[826]]
##  [1] 107.99110 104.01891  99.35449  95.48065 103.91652  92.45772 103.99849
##  [8] 100.08737  83.43713 117.33568
## 
## [[827]]
##  [1] 120.91335 110.63940  95.86578  94.10955 110.89767 109.40431 110.96697
##  [8]  97.32538 111.50525 117.84148
## 
## [[828]]
##  [1] 101.66830 101.85652 100.35448  88.21193  88.41709  94.15861 104.63172
##  [8] 102.62791 112.18395  91.09165
## 
## [[829]]
##  [1]  98.90740  95.26493 101.99502 106.27386 116.91963 116.63438 118.52965
##  [8] 106.22595 118.03368  88.94131
## 
## [[830]]
##  [1] 101.48183 114.49754  97.06137 104.76037 107.62420  97.88665 112.51921
##  [8] 105.43695  92.10326 111.78562
## 
## [[831]]
##  [1]  87.67286 109.42812  91.97829 106.09076 104.42054 111.75050 104.17438
##  [8] 108.48561  92.87779  99.08512
## 
## [[832]]
##  [1] 110.57867  91.59256  89.79901  98.38778  98.78380 100.02279 123.17918
##  [8]  84.96592  90.82043  91.76591
## 
## [[833]]
##  [1] 114.46637 112.50177  90.66538  89.31903  96.69125  80.05976 104.92572
##  [8]  99.22337  82.83102  97.62086
## 
## [[834]]
##  [1]  99.54923 108.36517  99.45342  92.87102  93.58757 113.51892  96.96775
##  [8] 102.98307 104.06006 104.44067
## 
## [[835]]
##  [1]  84.98240 106.87201 111.87639 120.55285  86.82508  88.57312 104.40787
##  [8]  94.93473 112.51163  84.87386
## 
## [[836]]
##  [1] 103.71930 103.86633 108.84498 109.02945 101.12032  83.44888 103.30136
##  [8] 103.78422  81.52350 111.24007
## 
## [[837]]
##  [1] 101.08392  88.83602 102.73220 109.56233 105.83652  95.94657 123.60562
##  [8]  98.13434 103.32458 104.77481
## 
## [[838]]
##  [1] 109.45989 108.46452  99.80745  98.67913  89.20169 104.16385 107.13577
##  [8]  95.79044 108.53102 100.62377
## 
## [[839]]
##  [1] 105.24349  92.57916 110.71473  87.09632 120.98183  98.21461  85.95321
##  [8]  89.55532  79.99328  97.95765
## 
## [[840]]
##  [1] 101.89139  93.56225  98.30976  86.97716 110.17187  98.33916 102.85402
##  [8] 121.22174 109.76021  88.12750
## 
## [[841]]
##  [1] 111.24720  83.30961 128.69328 114.75108  84.40446  91.59287 115.52130
##  [8]  88.39850 123.99464 113.25609
## 
## [[842]]
##  [1] 108.35961  95.47588 116.72205 101.81666 110.82301  94.25661 108.13003
##  [8]  90.27595  94.63996  98.19706
## 
## [[843]]
##  [1] 112.02557 101.82635  95.47075  89.54967  92.62731 103.14212 103.58337
##  [8]  97.14991  93.27628  79.28307
## 
## [[844]]
##  [1] 103.78110  96.27454  99.54514  98.62394  79.54333  99.11865 118.03258
##  [8] 118.49423  84.97936 100.30517
## 
## [[845]]
##  [1]  79.20708  94.08208 117.37658 108.32202  96.56770  96.04711  99.18135
##  [8]  88.16878 101.00255  91.58784
## 
## [[846]]
##  [1]  86.45391  91.75747 110.45489  89.46934  90.42533  76.75501 105.42004
##  [8] 100.87274  96.13098 109.07218
## 
## [[847]]
##  [1] 100.20467 105.75108  95.79470  93.65267 111.02783 108.33467 109.13794
##  [8] 104.16442  98.77764  91.31293
## 
## [[848]]
##  [1] 119.78568 101.54337  96.56033 117.70410 116.86404  93.33886  99.97406
##  [8]  97.14000 109.56645  96.86947
## 
## [[849]]
##  [1] 102.72647 100.41452  99.95118  90.23781 101.44050 104.56619 100.37750
##  [8]  96.29026 105.65149 101.21623
## 
## [[850]]
##  [1] 108.32895  89.76190 119.47171  89.55846  95.08665 107.50693 103.89698
##  [8]  85.13594  93.68978 107.27125
## 
## [[851]]
##  [1] 121.49450 117.12917 119.54158 111.41655 104.85865  97.21890 106.73628
##  [8]  93.86280  79.96844 112.12281
## 
## [[852]]
##  [1]  94.83830 107.26822  82.74697  65.32510  98.86634  85.52828  96.30755
##  [8] 103.39561  94.63831 100.30226
## 
## [[853]]
##  [1]  92.75057  89.02760  97.63103 110.12893  88.98441 108.75087  94.56639
##  [8]  86.74807 106.34937 107.30203
## 
## [[854]]
##  [1] 111.66522 105.92739  99.57055 115.21017  95.62637  99.14789  96.69699
##  [8] 107.45570  96.24881 106.51793
## 
## [[855]]
##  [1]  85.65256  92.20842 102.93402 101.93904  93.00898 113.91549 108.19059
##  [8] 100.86194 102.95126  97.32486
## 
## [[856]]
##  [1] 112.17317 103.70594  79.99279 100.31764  99.50419  89.82786  96.30833
##  [8] 117.15967 125.35347 110.89658
## 
## [[857]]
##  [1]  95.55488 109.92465 107.00825 117.57615  93.50314 108.86952 126.19142
##  [8]  78.98256 108.77831 113.22033
## 
## [[858]]
##  [1] 104.88795 105.74215  92.45537  92.64501  89.74869  82.80738 104.32841
##  [8] 101.10807  99.70513 101.57067
## 
## [[859]]
##  [1]  95.86182 117.70021 103.57371  99.79262  89.40295  90.18094  92.50386
##  [8] 104.69876 109.16287  94.34046
## 
## [[860]]
##  [1]  91.59345  92.69508  89.15874 101.09629 112.24458  73.93593  99.20964
##  [8] 113.11011  92.11515  98.92145
## 
## [[861]]
##  [1] 107.94524 103.65478 103.30256  77.13173  95.88907  98.11483 110.60457
##  [8] 103.18695 107.57947 108.54643
## 
## [[862]]
##  [1]  85.50525 105.41795 105.07769  87.10161  79.12706 102.44183 104.57003
##  [8]  93.08222 110.24626  86.32027
## 
## [[863]]
##  [1] 119.3686 106.1535 114.9021 108.1627 103.4507 103.9255 112.8592 111.1504
##  [9] 102.5193 120.5157
## 
## [[864]]
##  [1]  89.46771  86.96643 124.58965  92.06586 115.91349 108.21518  95.70725
##  [8] 100.14296  95.97561 100.98646
## 
## [[865]]
##  [1]  95.04110  89.25795 106.87729  97.06055  98.13888  96.51084 103.46742
##  [8]  90.20160 103.31479  94.81296
## 
## [[866]]
##  [1]  97.73195  95.06347 100.58654 104.40207  91.37263  94.29010  98.70955
##  [8]  84.02535  98.79732 116.52091
## 
## [[867]]
##  [1]  96.37989  99.60797  88.99337  96.67052 105.17466 107.85979 101.58797
##  [8]  97.65816  88.23793  99.86661
## 
## [[868]]
##  [1] 103.09626  96.21372 109.47117 102.30409  90.46483  96.34919  93.68308
##  [8]  87.32542  88.67164  96.48801
## 
## [[869]]
##  [1]  92.56750 101.48720  80.90517  86.34693 113.71685  96.41780 102.58303
##  [8] 107.99707  99.28018 112.29318
## 
## [[870]]
##  [1] 108.17467 120.45294 108.98615 119.30382 100.32119  88.41880 110.74195
##  [8]  96.94017 104.82289 117.43485
## 
## [[871]]
##  [1] 107.99182  85.01559 115.09706 107.37178  98.97238  93.28788  99.62239
##  [8]  87.05368  77.60123  92.19536
## 
## [[872]]
##  [1]  99.64887  87.73248  77.64007 105.87619  92.19500 100.46105  75.91389
##  [8] 107.96288  90.83765 112.03692
## 
## [[873]]
##  [1] 100.66001 102.12332 102.97256  98.93665 106.50562 119.13763 103.09819
##  [8]  98.71250  97.87848  88.06851
## 
## [[874]]
##  [1] 101.75369  85.90783  89.07130 114.14380  84.65305 121.31139 107.01721
##  [8] 117.64984 104.52689  98.12011
## 
## [[875]]
##  [1] 116.89591 100.20237  95.79191  94.19975  94.54383 104.49052 103.94751
##  [8] 100.64419  81.74530  88.83004
## 
## [[876]]
##  [1]  77.35147  87.79863 118.48894 115.21978  92.74842 112.47696  98.62914
##  [8]  98.19600 110.53276  98.70739
## 
## [[877]]
##  [1] 112.08685 102.93306  90.17291 104.06421  99.63322  94.84033  97.93320
##  [8] 100.09533 106.27763 100.71198
## 
## [[878]]
##  [1] 102.08829  87.25319  98.12354  98.93106  96.39736  95.96678 100.10376
##  [8] 100.02283 104.75467 114.39143
## 
## [[879]]
##  [1]  97.80681  97.34346 121.10953  95.90986  94.45536 105.11537  98.61968
##  [8] 104.80892 107.73434 127.96152
## 
## [[880]]
##  [1] 112.29680 109.42776 103.06774  96.02147 100.50308  89.68864 108.12695
##  [8] 106.31402 112.85227  89.99067
## 
## [[881]]
##  [1]  97.38547  90.26136  97.89401 102.12111 108.30356 102.99609  93.80233
##  [8]  99.10664  90.38660 104.07181
## 
## [[882]]
##  [1] 105.70587  87.47788 107.65068 109.34933 106.51894 108.78122  90.57367
##  [8]  91.07117 113.25724 107.28270
## 
## [[883]]
##  [1]  96.94646 105.98440 118.11892 101.88120  95.96326  94.18636  88.48260
##  [8] 102.05331 105.10268 101.72068
## 
## [[884]]
##  [1] 103.52618  98.48742 104.70637  91.71996  97.78162  99.60640 113.22345
##  [8]  79.40593 122.73226  92.99579
## 
## [[885]]
##  [1] 110.79260  97.34788  97.13348  98.69914  75.62489 128.76658 102.57869
##  [8] 106.70083  94.05556  92.77483
## 
## [[886]]
##  [1] 113.53727 107.90072 111.18223  96.84637  86.64824  93.92462 116.63543
##  [8]  84.30238 117.69138  95.09481
## 
## [[887]]
##  [1]  84.32687  88.62747 103.49810  97.13343  74.08879  96.31903 115.70937
##  [8]  96.57446 115.50090  93.16591
## 
## [[888]]
##  [1] 107.40074  96.52431 109.07752  81.51102 102.03634 113.56852  91.55536
##  [8] 116.57013  95.95406  94.37988
## 
## [[889]]
##  [1]  88.90582 105.68639  88.93457  85.87063  97.46742  82.57178  91.12804
##  [8] 119.49795 100.47122 108.56958
## 
## [[890]]
##  [1]  83.78056  78.23860 109.59564 100.98007 116.21635 110.43556  77.78006
##  [8] 112.02889  89.81825  99.12536
## 
## [[891]]
##  [1] 102.60476  93.17424  92.32986 100.11749 102.69816  84.02748 117.72088
##  [8] 113.46948  96.69317  83.07627
## 
## [[892]]
##  [1] 110.24809 120.17919  88.82481 101.62386  85.43484  95.00101 106.28484
##  [8]  85.50426  89.03362  96.47022
## 
## [[893]]
##  [1]  94.57417 100.17932  98.83162  80.36428  87.20252 101.46858 104.68037
##  [8] 114.49423 105.86975  99.75689
## 
## [[894]]
##  [1] 106.05871  89.01613  77.14844  97.55943  97.06051  91.78657  77.55425
##  [8]  86.34112 114.92242  88.84587
## 
## [[895]]
##  [1]  99.77645  96.59027 116.86485 101.44071 120.27231 110.45045  84.52460
##  [8] 101.08307 104.58109  93.68451
## 
## [[896]]
##  [1]  96.14221 100.27631  80.72126  78.60173  92.81215 104.36312 111.28801
##  [8]  75.74599  97.83669  90.87323
## 
## [[897]]
##  [1]  94.05423 109.90943 120.14392  96.69818 100.48553  82.50255 127.54171
##  [8]  99.68570 107.10694 104.61404
## 
## [[898]]
##  [1]  87.40640 101.63848  86.83617 100.99485 103.09249  90.29873  86.25039
##  [8] 100.60569 101.00214 101.06553
## 
## [[899]]
##  [1] 119.31576  93.83525  94.37433  90.10037 127.31228  92.78334 113.33505
##  [8]  87.79992 114.01776 103.32223
## 
## [[900]]
##  [1]  91.81526 103.07817 111.33651 109.32779 102.24101  95.82190  83.49669
##  [8]  90.20612  88.92175 106.10910
## 
## [[901]]
##  [1]  95.72201 104.93082 107.70205 108.85916 118.37702  95.97641  96.80243
##  [8]  93.11283 113.21080  95.76171
## 
## [[902]]
##  [1]  99.43256  93.94281  97.43484 103.01264  90.61377 109.42810  88.27839
##  [8] 108.51867  93.17116  90.90135
## 
## [[903]]
##  [1] 111.55199  99.87259 102.14528 114.14121 107.72213  99.18152  90.49185
##  [8] 102.64129  96.25219 108.30168
## 
## [[904]]
##  [1]  88.76297  93.12204 128.55632 113.37881  89.33907  94.91349  98.88690
##  [8]  92.52609 108.79552 102.49806
## 
## [[905]]
##  [1] 115.88803  98.91964 108.91097 103.43357  85.85632  86.00096 100.80035
##  [8]  82.26976  90.67224 106.78925
## 
## [[906]]
##  [1] 106.87114  95.42229 100.50773  88.27293  98.92780 108.99815 112.68479
##  [8]  87.40106  96.45884  98.50786
## 
## [[907]]
##  [1] 101.58082  87.36003 101.61404 105.14729 115.97460  88.52816 105.64563
##  [8]  96.84301  82.99034 119.67137
## 
## [[908]]
##  [1]  89.88090  93.11202  96.95197 103.00663 101.28613  84.83257  92.67356
##  [8] 106.36779  90.93397 102.15868
## 
## [[909]]
##  [1] 101.03450 109.33629 106.21857 103.56582 110.24141 103.27753  91.76766
##  [8]  96.57896  93.18553  92.46451
## 
## [[910]]
##  [1] 112.05022 110.04291 103.56035 100.05809  99.88516  94.86594 104.88365
##  [8]  86.40784  88.34743 106.64101
## 
## [[911]]
##  [1]  91.68336 107.70414 100.94614 102.27042  97.84986  95.17530 116.96099
##  [8]  96.11521 124.56699 102.47745
## 
## [[912]]
##  [1] 100.41951 105.74446 107.31720  84.05906  98.73205 101.94249  87.12573
##  [8]  88.78964  94.29094 105.37981
## 
## [[913]]
##  [1]  95.22230  90.87501  85.07435  82.25503 107.14266 107.96784  87.11859
##  [8]  89.52980 100.73098 120.36066
## 
## [[914]]
##  [1] 117.60303  96.43465  92.63180 118.48882 114.90319  83.52711  88.25230
##  [8] 107.28057  98.38225  74.30046
## 
## [[915]]
##  [1] 101.20741 116.00177 100.24864 108.92058  91.41868  98.98190 109.48457
##  [8]  98.53516  99.35263 101.83010
## 
## [[916]]
##  [1]  89.89364  91.78493  95.62090  90.20544 111.42474  91.22091  98.83961
##  [8] 113.53866  95.68762  92.74378
## 
## [[917]]
##  [1] 102.16502 100.29394 102.00306  90.58615  93.16619 106.01541  73.58597
##  [8] 112.18853 102.79200  84.87211
## 
## [[918]]
##  [1]  80.99680  90.64965 110.78515 103.74128  97.38023 102.29025 112.56565
##  [8]  98.86271  98.00183  96.54142
## 
## [[919]]
##  [1]  97.95852  80.28524  98.46310 122.97633  98.66059 106.56093  96.33214
##  [8] 114.95107 107.00709  99.20258
## 
## [[920]]
##  [1]  96.50322  95.44889  91.95869 105.45882 102.38412 110.86513  94.26385
##  [8]  84.80983  80.38884  75.80633
## 
## [[921]]
##  [1] 107.55968  99.89392 106.96752 108.86307  93.80822 116.32443 120.65526
##  [8] 101.57662  97.63041 106.06351
## 
## [[922]]
##  [1] 108.99039 113.31799 107.28032  98.76130 103.57268  95.99777  90.76100
##  [8]  85.22448  85.76125  96.03117
## 
## [[923]]
##  [1] 105.39525 109.89925 101.30466  97.60067  82.05801  97.53694  91.25639
##  [8]  86.76057  89.06139  95.80930
## 
## [[924]]
##  [1]  96.39562 111.53804 122.11258 104.82191  98.87045 117.68789 105.75525
##  [8] 102.43162 112.15881  84.18753
## 
## [[925]]
##  [1] 103.98335  99.97747 109.20243  91.77985  94.37468 110.50229 103.49848
##  [8]  92.21194  91.56943  92.31185
## 
## [[926]]
##  [1] 103.21712 107.60301  87.19233 106.20577 103.98092 102.30523 102.02769
##  [8]  93.67455  79.33976  93.36589
## 
## [[927]]
##  [1]  85.55715 100.66142  82.47433 102.36080 123.38681 111.77156 109.94976
##  [8]  97.90737  93.32827  85.74890
## 
## [[928]]
##  [1] 106.14565 107.72774 108.40243  93.52001  96.31198  85.10382  99.77540
##  [8]  90.72762  86.13480  88.40829
## 
## [[929]]
##  [1]  98.76569 102.18780 108.71949  80.39802 115.45862  90.97110 103.34972
##  [8] 109.84026  91.31758  90.46708
## 
## [[930]]
##  [1] 102.17360  88.02521  95.92035  90.44490 102.71008 107.12935 110.61804
##  [8]  96.83805  99.11976  99.20315
## 
## [[931]]
##  [1]  99.49805  97.90966  92.38023 101.89615  93.99873  99.65779  99.12113
##  [8]  87.29086 111.58024 101.90796
## 
## [[932]]
##  [1]  96.41113 105.11903  89.40928 118.81446 105.03535  97.11575 111.32001
##  [8] 101.67702  94.12311  85.97858
## 
## [[933]]
##  [1]  99.59243 106.20809 103.26506  86.03112 104.19340  94.45632 100.09232
##  [8] 112.47221 103.34539 105.28366
## 
## [[934]]
##  [1]  91.69129 102.23612  85.45874 108.58151  92.39099  87.89509  91.40537
##  [8] 106.50458 101.85348  79.56190
## 
## [[935]]
##  [1]  78.23889  96.03752  91.12493 100.41661  94.52449  95.66240 102.86616
##  [8] 106.54957  95.90288 104.63386
## 
## [[936]]
##  [1]  81.79259  92.60837 102.80355  96.24444 106.32932  88.48973 107.89034
##  [8] 107.82210 101.79126  99.31849
## 
## [[937]]
##  [1] 108.90873  97.77243 102.89667  88.72485  93.11488 103.86097  94.04986
##  [8]  96.77799 110.84000 101.70635
## 
## [[938]]
##  [1] 105.04957 110.14072  97.41916  96.83551 110.41471  83.03171 103.76149
##  [8] 101.05297 115.83489  98.21692
## 
## [[939]]
##  [1] 102.02332  87.24144  96.54722  88.97581 105.95436 100.82118  96.64136
##  [8] 102.60736 113.62363  93.37928
## 
## [[940]]
##  [1] 105.24255 100.32133  89.39275  83.93435 112.58532 115.43663 112.26493
##  [8]  90.18253  96.36501 119.39738
## 
## [[941]]
##  [1] 107.53133 106.59715 118.33386  88.72260  95.20532  94.70040  95.83589
##  [8]  89.10702 100.93027  97.96627
## 
## [[942]]
##  [1]  90.70536 118.53105 100.61187  75.97755  96.77097  74.37116  97.57465
##  [8] 103.76844  94.46140  99.66351
## 
## [[943]]
##  [1] 103.33204  96.15316 113.78277 118.79259 108.13175 109.65959 123.37045
##  [8]  98.67117 101.74188  84.45569
## 
## [[944]]
##  [1]  99.36900  94.62171  98.59055 101.25883  98.66790  97.15374  75.18634
##  [8] 112.17715 106.30502  81.99376
## 
## [[945]]
##  [1] 100.32642 114.34109 117.80309 124.64981  94.44994 109.52152 114.15171
##  [8]  92.31795 105.83195 103.04565
## 
## [[946]]
##  [1] 112.80520 102.56226  97.53578 104.86042  89.34386 106.63381  96.36483
##  [8] 104.55080 102.30298 102.81376
## 
## [[947]]
##  [1]  92.76203  98.91283  95.64279 105.98600 120.16109 105.63477  87.83817
##  [8]  88.30430 100.25749 110.01570
## 
## [[948]]
##  [1] 114.17468  88.92294 101.04173 101.30190  98.89528  87.59991 106.25270
##  [8]  80.87006 106.88533  84.20639
## 
## [[949]]
##  [1]  96.62138  98.52868  93.26365  94.31372 104.70856 113.01337 100.36709
##  [8]  94.05105  93.34712 107.16171
## 
## [[950]]
##  [1]  95.36276  84.52560 100.43929 109.10228 104.61405 117.09690 124.68378
##  [8] 106.24965  98.21078 112.69888
## 
## [[951]]
##  [1] 107.46613 121.20115 103.46640  98.35532 108.42020 102.21227 104.05023
##  [8] 113.45426  87.29728  94.02802
## 
## [[952]]
##  [1]  92.82084  90.85514 100.57357  95.24611 106.83932 112.88057  93.17801
##  [8] 104.13021 103.15551  90.66759
## 
## [[953]]
##  [1] 102.56016  92.14984  89.36393  81.68069 117.13728  98.73548  96.66316
##  [8] 114.32154 121.32631  92.77641
## 
## [[954]]
##  [1]  87.84741  99.21913  85.47392  93.79005  98.97767  94.75505 116.84593
##  [8] 102.33604 101.22876 116.72040
## 
## [[955]]
##  [1] 115.10498  96.83071 100.12039  90.38597  93.13043  85.53786 106.53788
##  [8]  97.72313 105.62840  97.88458
## 
## [[956]]
##  [1]  85.37318  89.39202 107.46092  92.35105  85.76425  83.80396  94.05848
##  [8] 103.45023  96.53204  94.69119
## 
## [[957]]
##  [1]  99.33335 100.79489 109.40990 100.64707  98.69494  96.30127  89.92899
##  [8]  98.74297  86.46457 114.65529
## 
## [[958]]
##  [1] 102.03787  80.79990  87.26047 107.02036  77.14634 106.85716 103.02028
##  [8]  92.83059  94.20846  86.99773
## 
## [[959]]
##  [1]  88.16543  96.24198  85.32842  97.04659  94.36854 101.53260 105.03901
##  [8] 102.58477 106.14697 101.60094
## 
## [[960]]
##  [1]  93.59534  97.66061 113.58880 115.96876 104.57860  89.57277 103.29988
##  [8] 112.19391  88.99248 111.14989
## 
## [[961]]
##  [1]  84.62436  97.96686 113.41506 100.35188 106.81345  98.83408  92.13692
##  [8] 113.17788 103.50563  95.11436
## 
## [[962]]
##  [1]  87.41329 103.12972  96.05290 107.22693 109.99898 118.52233 100.06540
##  [8] 101.60221  96.04252  92.90499
## 
## [[963]]
##  [1]  76.36637  87.95608 106.37170 116.46656  86.12311 107.46666  95.68060
##  [8] 107.91188 117.43468  90.40513
## 
## [[964]]
##  [1]  79.19202  97.02361 106.90920 109.50149 104.87902  98.67032 130.67501
##  [8] 109.59281  96.16299 101.75652
## 
## [[965]]
##  [1] 108.05696 104.56543  99.75029 101.91131 104.79134  94.09822  97.46316
##  [8] 107.95685  95.78056 106.33735
## 
## [[966]]
##  [1]  88.86071 109.09550 112.69026  95.44508  84.15907 103.04245 102.44779
##  [8]  84.44990 105.97473  79.66270
## 
## [[967]]
##  [1]  92.33906 116.48641 107.81861 101.07035  71.60969 100.84048  89.31508
##  [8] 100.41520 101.27204 104.55362
## 
## [[968]]
##  [1]  96.96057  98.47367  95.12559 101.25659  93.48482 106.05033  90.44292
##  [8]  86.90103  99.13627  95.43029
## 
## [[969]]
##  [1] 104.49582  84.71356 102.61304 109.78999  91.06434 107.76499 108.27099
##  [8] 105.90026  89.01582  96.86672
## 
## [[970]]
##  [1] 103.24347  85.61054  91.53637 104.84004 110.73687 103.27074  95.03142
##  [8]  93.65196 119.25280  96.59895
## 
## [[971]]
##  [1] 106.92018  88.70759  89.94249  95.99518 103.58030 108.64537 100.08459
##  [8] 104.71192  99.01345 103.43638
## 
## [[972]]
##  [1]  85.60387 100.55957  97.93470  98.16097  93.78389 117.27972  91.60227
##  [8]  97.19412  91.62705  97.25165
## 
## [[973]]
##  [1] 104.72345  77.74312  98.16408  97.05850  88.56002  98.37196 102.67764
##  [8] 102.56801  94.96423 123.13682
## 
## [[974]]
##  [1]  96.71523  83.99308  94.49108 109.59841  92.47537  99.32305  96.01868
##  [8]  93.14554 113.19230  81.46485
## 
## [[975]]
##  [1]  99.79155  98.28982 114.33552  99.40748 110.34515 102.36449  91.63776
##  [8] 103.79970  88.95400  88.12800
## 
## [[976]]
##  [1] 112.13823 102.11379  84.15429  93.87927 106.08395 102.78459  95.55461
##  [8]  90.53321  97.32221 109.06845
## 
## [[977]]
##  [1]  94.33184 109.60785 106.53310  97.39978  81.79218  91.74566 106.52881
##  [8] 118.16123 108.31245  90.13089
## 
## [[978]]
##  [1] 102.35972  96.08927  94.37156  89.03058  92.33544 108.41214 118.80694
##  [8] 106.43204  88.25041  92.92935
## 
## [[979]]
##  [1] 121.08869  95.37613  92.12802  95.41104 123.92243 103.55843  97.10690
##  [8] 110.88962  86.04928  98.82193
## 
## [[980]]
##  [1] 107.01325  88.79165  95.14606 104.22571  86.09678  79.76921  97.09232
##  [8] 120.35834  92.03787  86.17668
## 
## [[981]]
##  [1]  98.77389 112.32764  90.58841 106.17050  97.17728  80.32695  99.39750
##  [8] 103.42111  97.79940 101.26721
## 
## [[982]]
##  [1]  91.32513  93.04428  98.63506 113.22136  86.50271  92.13783  99.56453
##  [8]  87.64677  86.61410  97.11457
## 
## [[983]]
##  [1]  95.02412 105.54381  96.10780  85.25398 124.56901  95.12529 123.90708
##  [8]  90.64965 105.39162  93.53911
## 
## [[984]]
##  [1] 110.66648  93.74961  99.83820 105.41147  96.65570  92.85160  97.95525
##  [8]  81.41824  97.96229  94.78078
## 
## [[985]]
##  [1] 100.21990  83.84389 106.21140  99.36613  89.25209 112.75572  98.60070
##  [8]  82.79183 115.49430  94.21808
## 
## [[986]]
##  [1] 101.93328 116.21714 106.50310 100.60969 102.63963  94.81812 108.94870
##  [8] 102.09167  93.73855  94.64589
## 
## [[987]]
##  [1] 105.32714  90.52794 107.14720 108.37616  90.26667 112.03008  96.48690
##  [8] 114.59216 104.29113  85.21373
## 
## [[988]]
##  [1] 107.16358  91.92673  95.45293 103.80422 110.44577  95.22299 101.26339
##  [8]  84.44741  78.83118  81.20429
## 
## [[989]]
##  [1]  91.94151 110.23932  90.62442  90.28454  97.08643  89.05085 105.91065
##  [8] 102.01180 106.92298  90.66887
## 
## [[990]]
##  [1]  99.08324 100.09375 104.11194 101.19110  92.67660 107.33147 103.64445
##  [8]  98.81417  95.73546 107.84555
## 
## [[991]]
##  [1] 117.46074 114.69778  95.36521  98.91181  95.26727 101.75535  96.66655
##  [8] 116.66689  96.53392  95.57861
## 
## [[992]]
##  [1]  98.84200  98.12420 106.85334 105.34630  84.20656  93.40112  95.68301
##  [8] 109.43680  99.79446 104.99590
## 
## [[993]]
##  [1]  99.21597  95.60648 106.64591 123.33268 100.07030  65.97976  90.42114
##  [8]  97.73507  84.43373 103.16930
## 
## [[994]]
##  [1]  94.15852 106.96958 109.44523  81.85389 105.63601 109.72807  93.19516
##  [8]  90.73466  80.64039 109.63542
## 
## [[995]]
##  [1] 120.83685  98.83562 111.06695 112.27743 101.01294 100.40172 120.52148
##  [8]  95.52754  88.18387 112.38723
## 
## [[996]]
##  [1]  94.01766  85.24290  96.63835  91.57959  90.05759 122.70944 100.10188
##  [8] 105.58212  78.91113 101.03266
## 
## [[997]]
##  [1]  81.99852 104.73502 107.25035  95.73135  94.63227 113.23860  89.08647
##  [8] 103.09381 104.92174 107.39041
## 
## [[998]]
##  [1]  98.82074 101.58641  90.24960 109.40499  94.10361  89.75216  96.32884
##  [8]  92.42527 110.79329  93.55076
## 
## [[999]]
##  [1] 123.70725  98.33188 109.26961  94.31848 102.25090 111.31986 113.80482
##  [8]  97.67197  83.99357  97.01631
## 
## [[1000]]
##  [1]  97.24376  99.69674 110.89346  89.94578  83.67464 107.73542  99.71792
##  [8] 103.56261  86.73007  92.95463
```

---
# Calculate all means

```r
map_dbl(samples, mean) %>% 
  head()
```

```
## [1]  95.75441 103.22045  99.91284 102.21686 101.23084  96.37082
```

--
* What's the `$sd$` of these means? That's the standard error.

```r
map_dbl(samples, mean) %>% 
  sd()
```

```
## [1] 3.144175
```

---
# Sample size
Let's re-do this, pulling a sample of 100 each time.

```r
samples2 <- replicate(1000, rnorm(100, mean = 100, sd = 10),
                      simplify = FALSE) 
map_dbl(samples2, mean) %>% 
  sd()
```

```
## [1] 0.9728883
```

---
# Visualize the sampling distributions

```r
sample_means <- tibble(iter = rep(1:1000, 2),
                       sample = rep(c(10, 100), each = 1000),
                       mean = c(map_dbl(samples, mean),
                                map_dbl(samples2, mean))
                       )
sample_means
```

```
## # A tibble: 2,000 x 3
##     iter sample      mean
##    <int>  <dbl>     <dbl>
##  1     1     10  95.75441
##  2     2     10 103.2204 
##  3     3     10  99.91284
##  4     4     10 102.2169 
##  5     5     10 101.2308 
##  6     6     10  96.37082
##  7     7     10 103.1310 
##  8     8     10 104.3709 
##  9     9     10  96.04152
## 10    10     10  96.77087
## # … with 1,990 more rows
```

---

```r
ggplot(sample_means, aes(mean)) +
  geom_density(aes(fill = factor(sample)), alpha = 0.3)
```

![](w6p2_files/figure-html/sampling_dist_vis-1.png)

---
# Fit a model

```r
m <- lm(cty ~ displ + class, mpg)
summary(m)
```

```
## 
## Call:
## lm(formula = cty ~ displ + class, data = mpg)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -5.2689 -1.1503 -0.0156  1.0341 12.9782 
## 
## Coefficients:
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)      28.7768     1.4729  19.538  < 2e-16 ***
## displ            -2.1716     0.1747 -12.433  < 2e-16 ***
## classcompact     -3.5991     1.2522  -2.874  0.00444 ** 
## classmidsize     -3.6755     1.2063  -3.047  0.00259 ** 
## classminivan     -5.5951     1.3060  -4.284 2.71e-05 ***
## classpickup      -6.1825     1.1214  -5.513 9.60e-08 ***
## classsubcompact  -2.6290     1.2369  -2.125  0.03464 *  
## classsuv         -5.5994     1.0872  -5.150 5.65e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 2.249 on 226 degrees of freedom
## Multiple R-squared:  0.7291,	Adjusted R-squared:  0.7207 
## F-statistic: 86.89 on 7 and 226 DF,  p-value: < 2.2e-16
```

---
# Visualize with standard errors

```r
tidied_m <- broom::tidy(m, conf.int = TRUE)

tidied_m
```

```
## # A tibble: 8 x 7
##   term             estimate std.error  statistic      p.value  conf.low
##   <chr>               <dbl>     <dbl>      <dbl>        <dbl>     <dbl>
## 1 (Intercept)     28.77682  1.472892   19.53763  1.905873e-50 25.87446 
## 2 displ           -2.171562 0.1746638 -12.43281  2.197130e-27 -2.515740
## 3 classcompact    -3.599125 1.252190   -2.874265 4.436052e- 3 -6.066585
## 4 classmidsize    -3.675526 1.206253   -3.047061 2.585762e- 3 -6.052466
## 5 classminivan    -5.595070 1.305993   -4.284151 2.714490e- 5 -8.168550
## 6 classpickup     -6.182466 1.121448   -5.512931 9.600087e- 8 -8.392297
## 7 classsubcompact -2.629038 1.236950   -2.125420 3.463687e- 2 -5.066467
## 8 classsuv        -5.599361 1.087160   -5.150446 5.652249e- 7 -7.741628
## # … with 1 more variable: conf.high <dbl>
```

---

```r
ggplot(tidied_m, aes(term, estimate)) +
  geom_hline(yintercept = 0,
             color = "cornflowerblue",
             linetype = 2) +
  geom_errorbar(aes(ymin = conf.low, ymax = conf.high)) +
  geom_point() +
  coord_flip()
```

![](w6p2_files/figure-html/broom_viz1-1.png)

---
# Multiple error bars

```r
library(colorspace)
ggplot(tidied_m, aes(term, estimate)) +
  geom_hline(yintercept = 0,
             color = "cornflowerblue",
             linetype = 2) +
  geom_errorbar(aes(ymin = estimate + qnorm(.025)*std.error, 
                    ymax = estimate + qnorm(.975)*std.error),
                color = lighten("#4375D3", .6),
                width = 0.2,
                size = 0.8) + # 95% CI
  geom_errorbar(aes(ymin = estimate + qnorm(.05)*std.error, 
                    ymax = estimate + qnorm(.95)*std.error),
                color = lighten("#4375D3", .3),
                width = 0.2,
                size = 1.2) + # 90% CI
  geom_errorbar(aes(ymin = estimate + qnorm(.1)*std.error, 
                    ymax = estimate + qnorm(.9)*std.error),
                color = "#4375D3",
                width = 0.2,
                size = 1.6) + # 80% CI
  geom_point() +
  coord_flip()
```

---
![](w6p2_files/figure-html/multiple-error-eval-1.png)

---
# Add levels to legend

```r
p <- ggplot(tidied_m, aes(term, estimate)) +
  geom_hline(yintercept = 0,
             color = "cornflowerblue",
             linetype = 2) +
  geom_errorbar(aes(ymin = estimate + qnorm(.025)*std.error, 
                    ymax = estimate + qnorm(.975)*std.error,
                    color = "95%"),
                width = 0.2,
                size = 0.8) + 
  geom_errorbar(aes(ymin = estimate + qnorm(.05)*std.error, 
                    ymax = estimate + qnorm(.95)*std.error,
                    color = "90%"),
                width = 0.2,
                size = 1.2) + 
  geom_errorbar(aes(ymin = estimate + qnorm(.1)*std.error, 
                    ymax = estimate + qnorm(.9)*std.error,
                    color = "80%"),
                width = 0.2,
                size = 1.6) 
```

---

```r
p
```

![](w6p2_files/figure-html/show-p-1.png)

---

```r
p + 
  scale_color_manual("Confidence Interval",
                     values = c("#4375D3",
                                lighten("#4375D3", .3),
                                lighten("#4375D3", .6))) +
  geom_point() +
  coord_flip()
```

---
![](w6p2_files/figure-html/add_legend-eval-1.png)

---
# Density stripes

```r
#devtools::install_github("wilkelab/ungeviz")
library(ungeviz)
ggplot(tidied_m, aes(estimate, term)) +
  stat_confidence_density(aes(moe = std.error),
                          fill = "#4375D3",
                          height = 0.6) +
  xlim(-10, 35) +
  geom_point()
```

![](w6p2_files/figure-html/density-stripes-1.png)

---
# Actual densities

```r
library(ggridges)
ggplot(tidied_m, aes(estimate, term)) +
  stat_confidence_density(aes(moe = std.error, 
                              height = stat(density)),
                          geom = "ridgeline",
                          confidence = 0.95,
                          min_height = 0.001,
                          alpha = 0.7,
                          fill = "#4375D3") +
  xlim(-10, 35) 
```

![](w6p2_files/figure-html/densities-1.png)

---
class: inverse-blue center middle
# HOPs
### Hypothetical Outcome Plots (and related plots)

---
# Standard regression plot

```r
ggplot(mtcars, aes(disp, mpg)) +
  geom_point() +
  geom_smooth()
```

![](w6p2_files/figure-html/loess1-1.png)

---
# Alternative

![](w6p2_files/figure-html/bootstrap1-1.png)

---
# How?
### Bootstrapping

```r
row_samps <- replicate(100,
                       sample(seq_len(nrow(mtcars)), 
                              nrow(mtcars), 
                              replace = TRUE),
                       simplify = FALSE)
row_samps
```

```
## [[1]]
##  [1] 31  6 32 12  1 14  2 11 20 10 26 10 22 30 25 25  5 31 19 13 19 20 17  1  4
## [26] 12 12 25 20 21 16 23
## 
## [[2]]
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## [26] 10 21  6 14 14 12 24
## 
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## [26] 15 16 21 27 23 19  7
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## [26]  4 27 29 19 21  1 16
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## [26] 26 19  7 16 31 20  3
## 
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## [26]  2 24  5 10 30  3  6
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## [26] 27 29  2 23 21 21 25
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## [26]  5 15  3 16 31 17 22
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## [26] 32  8 10 18 12  5  5
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##  [1] 26 11 12  7 18 10 29  1  1  6 27 19 10 30 29  5  4 28 32 31 13 25 25 32  7
## [26] 15 16 16 28 11 16  2
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## 
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##  [1] 30  1 27  7 19 13 29 16  8 23 18 13  4 29  1 32  2  2  8 24 13 12 30 19 17
## [26]  1  4 23 13 24 14  9
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##  [1]  8  9 31 10 12 15 26 11 22 22 25 28  2 15 11 31 12 29 21 15  4  1 28 22 20
## [26] 17 22 24 12 24 13  6
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## [26] 30 16  1 29 28 24  6
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## [26] 31 29 20 12 16 31 31
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## [26] 15  7 25 21 27 24 13
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## [26] 22 11 10 10 20  1  2
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## [26] 19  5  1 19 28 13 21
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## [26] 10 14 15 27  9 30 16
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## [26]  8 16 21 27  1 10  9
## 
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##  [1]  6 31 21  3  1 26 18 29 26 27  2 16 14 21  1 32  1 11 24 11  4 11 11 20 29
## [26] 16 19  3 27  1 15 31
## 
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##  [1] 11 12  3 30 17 21 28 19 11  3 26 32  9  9 21 32  2 28 30  9 11 26  7  4 24
## [26]  1  4 14 26 17  7 26
## 
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##  [1] 31  3  2  6 26 10  6 15 16  5  6 13 16  5 12 29  1 28 17 11 17 21 14 26  5
## [26] 31  7  4 31  4  1 26
## 
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##  [1] 25  9 32  6 18  7 11 23 12 10 23 30 19 29  6  5 13 12  3 26 13  2 31 12 32
## [26] 32  6 17  2 23 23  2
## 
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##  [1] 28  2  2 30 14 22 24 14 23 14  4 29  5 22 22  1 32  1 19  5 13 14  7 18 14
## [26]  4 23  2 20 21 13  3
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## [[30]]
##  [1] 23 30 29 18 23 11 10 13  8 21 31 24 18 16  3 11 23 15  1  9 32  2 21 13  5
## [26] 10  4  4  1 27 13  8
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##  [1] 21 23 13 15 11 25 12 27  2 31 21  8 29 11 27 17 29 14 25  8 27 31 21 30  7
## [26] 26 32 31  2 11 14 30
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## [26] 17  5 21 12 31 14 32
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##  [1] 16 21 23 17  5  5 22 12 27 32 14  1 17 12  4 21  1 19 12 32 27  4 25  4  2
## [26]  7 13 19 14  3 12 19
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## [26]  9 11 26  8  7 26 32
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## [26] 18  5 22 10 14 22 20
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## [26] 14  7  4 31 12 32 27
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## [26]  7 21  2 23  1  8 29
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## [26] 24 18 30 16  6 11  1
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## [26] 14 16 32 22  1 14  6
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##  [1] 19 16 30 12 26  3 19  3 20  7  7  3  7 25 25 12 14 10 15 30 23 13 25  7 23
## [26]  8 12  6 17  1 14  2
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##  [1] 26 19 19  3 32 10  3 23  2 14  1  6  8 30 28 31 13 16  5  2 31 31  5 13 10
## [26]  7 14 12 17 16  8 26
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## [26] 28  5 16 32  3 14 18
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## [26] 18  8 30 27 14  2  3
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## [26]  1  3 16 13 17  7 17
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## [26]  8 11 12 32 15 19  1
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## [26] 31 11 19  9 28 22 23
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## [26] 22 12  1 26 29 17 10
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## [26] 26 15  7 10 17 31 23
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## [26]  2  4  3 14 15  8  1
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## [26]  2 18 24  5  6 22 19
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## [26]  4  8 13 11  1  1 27
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## [26]  4 17 23  7 16  9  1
## 
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##  [1]  8 12 12 10 30 25  7  8 32 20  7  7  5 23  8 20 29 16  9  3 25  9 20 24 30
## [26] 16 29  8 30 14  5 25
## 
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##  [1] 21 17  5  9 30  8 31 23  9 27  3 10 26 20 31 20 28  2 16 24  2 20 19 26 20
## [26] 30  5 23 17 23 30  6
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##  [1] 29  5  7 27 15  8 22  5  4  9 28  6 22 26 14 11 29 21 25 12 27  2  1 25 32
## [26]  7 21  9 25  2  8 16
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## [26] 20 17 18 27 14  6 29
## 
## [[60]]
##  [1] 13 13  6 29 30 23 24 29  5 22  6 17 31 31  8  5 17 31 13 29 17 20 24 14  7
## [26] 22 17  4 14 32 26 29
## 
## [[61]]
##  [1]  9  6 26  8  2 14 18 12 19 10  1 27 22  7 22  3  6  1 11  1 14 29 31 15  6
## [26]  2  2  8 11  6 22 25
## 
## [[62]]
##  [1] 28  6 24 17 32 29 16 20 25 28 12 24 24 27  2  6  2 23 32 28 16  1 17  9 18
## [26] 20 21  4 27 14 28  2
## 
## [[63]]
##  [1]  5  5 14 20 26 15  7 18 18  9 12 21 18 16  9  3 13  8 27  2 32 14 13 10 28
## [26] 27 26  4  5 12  8 23
## 
## [[64]]
##  [1]  4 17  2 20 30 32 24  1 16 14 24 13  1  5 26 17  9  2 22  3 31 11 28 18 16
## [26] 20 21 28  1  1 21 17
## 
## [[65]]
##  [1] 30 20  2  5 28  2 32 24  8 27 28 30 30 23  4 30 30 18 20 30 12  1 11  4  5
## [26] 15 10  4 25 29 20 14
## 
## [[66]]
##  [1] 10 10 14  2 20 25 13 18 20 11 11 16 10 13 12 32  4 24 16 29 26 16 15 17 24
## [26]  8 32 20 32  2 16 13
## 
## [[67]]
##  [1] 31 19 12 28 11 17 16 15 22 29 18  8 32  7  2  3 13 20  1 16 28  6 14 25  6
## [26] 24 21 20 19 22  9 17
## 
## [[68]]
##  [1] 23 11 28  9  9 19 21  3 11  3 26  5  4 26 16 14 12 24 28 22 18 22 10  2  4
## [26] 17  5 15  5 13 19  1
## 
## [[69]]
##  [1] 21 25 27 19  5 32  3 22  2 14 31 20 11 10 30 21 12 19 13  6  2 12 21 19  8
## [26]  4 16 26 15 32 11  4
## 
## [[70]]
##  [1] 27 11 28 20 31 27 15 30 13  5  9 15 25 24 10 16 32 11 22  6 20 17 11 29 25
## [26] 18 12  1 16  8 23  2
## 
## [[71]]
##  [1] 24 31 13 30 30 20 22 13 13  4 28 22  4 31  3  2 12 28 31  1  3 31  9 32 12
## [26] 20 26  3 13  6 13 22
## 
## [[72]]
##  [1] 15  2 14 10  3  4  9 17 25 20 11 20 32  4 14 16 31 28 27 17 30 10 25 13 23
## [26] 15 14 29  1  8 10 31
## 
## [[73]]
##  [1] 13 27 15  9 31 28 28 24  4 19  3 17 31  8 18 27  6 32 21 10 21 26  2 20  3
## [26]  3 20 21  8 12 13  1
## 
## [[74]]
##  [1]  3 32 25 26 30 24 20  5 15 18 14 32 16  5  2  3 32 15  5  5 18  9  5 28 25
## [26] 20 25 16 20  5 12 16
## 
## [[75]]
##  [1] 25 29 27 17 32  9 30  4 26 27  4 25 24 16 26 12  4 23  7 25  8 14 12 18 10
## [26]  2 10  8 22 18 30  8
## 
## [[76]]
##  [1]  4  6  3  6 15 21 21 30 14 28 15  5 20 25  2 11 24 10 12 16 27 28 22 20 31
## [26] 32  4 19 23  1 29 24
## 
## [[77]]
##  [1] 25 24 20 10 11 14 15 22 23  5 16  7 30  9 19  5 20 20 19 19 12 20  6 22 17
## [26]  4  4 31  2 19  9  2
## 
## [[78]]
##  [1]  7 25 23 27 32 12  5 31 15  2 30  9 21  4 23 24 13  2 18  8 27  6 10 29 12
## [26]  5  3 12 29 19 31 22
## 
## [[79]]
##  [1] 13 23 12  7 13  2  8  3 27 10 18 18  5 17 12 20 11 10  2 10  5 10 26 27  8
## [26] 30  1 13  3 17 22  9
## 
## [[80]]
##  [1] 14 12 13  4 23 19 30  4 10  7 20 32 10  5  8 27 18  6 15 19 30 22  6 26 21
## [26]  5  2  2  3 13 26 29
## 
## [[81]]
##  [1] 16 16 26 22  7 17  2 16  9 14 32 27 22 29 25  6 28 32  4  7 17  2 25 26 17
## [26] 21 21 16  6 28 21  2
## 
## [[82]]
##  [1] 26 19  8 17 20 22 23  9  3  6  3 25  8 27 15 16 15 21 16 11  5 27 16 22 12
## [26]  7 20  5 18 10 13 17
## 
## [[83]]
##  [1] 20 31 30 20 23 32 11  5 21 32 21 12 32 23  3  7 22 31 16  6 30 10  9 31  1
## [26] 28 24 11 28 15 31 22
## 
## [[84]]
##  [1] 17  3 16 27 24 30 10 14 11 28 26 17 26  4 24 27 25 10 25 32 17  2 11 10  9
## [26] 10  2 11 19 11 11 10
## 
## [[85]]
##  [1] 13 23  2  9 13 20 26 30 18  3  9 24 12 15 25 24  5 31 18 11  4 28 16 19 23
## [26] 30  6  7 24 30 23 15
## 
## [[86]]
##  [1] 13 22  3 22  7 12  2 21 17  8 24  8  2 15 19 25 11 22 14 30 12 22 25 15 16
## [26] 32 25  7 15 24 30 32
## 
## [[87]]
##  [1]  5 10 14 20  3 20 32 25 22 28 24 16  5 17 18 12  7 17 14  8 23  5 28  2 13
## [26]  7 13 12 28  2  9 15
## 
## [[88]]
##  [1]  3  7 13 20  2  5 20  8  1 29  3 26 32 12 26 22 17 10 10 17 23 25 23  2 10
## [26]  3 11 14 11 28  2 16
## 
## [[89]]
##  [1] 16 19 23 18 12  5 22 10 17 24 23  9 15 12 32  8 29 16  1 13 27 20 13 31  3
## [26] 25 16 15 14  8 23 27
## 
## [[90]]
##  [1] 13  3 31 29  3 18 30 21  6  8 30 17 11  4  4  4  2  3 30 21 17  2  7  8  5
## [26] 15  6 16 19  2  9  3
## 
## [[91]]
##  [1] 21 20 14 22 13  5 10 22 23 21 23  2 30 21 26 20 11 16 31 29 24  9 16 32 24
## [26]  9  2 16 28  9 31 31
## 
## [[92]]
##  [1]  3 32  3 13 26  3 12  2 16 14 31 25 31  5 11  1  9  9 24 31 16  6 14 26 24
## [26] 14 17 25 11  5  9 25
## 
## [[93]]
##  [1] 14 16  4 11 28 29 29 31 30 15  7 17 27 17 31 11  1 11 14  1 20 32  9 20 15
## [26] 10 15 21 14 21  7  1
## 
## [[94]]
##  [1]  3  4 31  3  5  6 27 12 27 16 10 27 13  3 28  1 10  6 28 30  5  2 23 17 12
## [26] 23 29  4 29 15 10 31
## 
## [[95]]
##  [1]  7 13 11 18 14 22  3  4 31 30 14 11 20 22  9  3 26 17  1 17 19 12 22 28 12
## [26]  5  7 13 12 23 32 12
## 
## [[96]]
##  [1] 18 20 10 23 14 17 15  6 27  6  4 25 16 10 21 30  4 26 21 25 23 27 22 24 10
## [26]  8 20  5 10 13 30 10
## 
## [[97]]
##  [1]  2  2  4 25 30 29  9 18  7 31 16 23 26  6  4 13  9  4 19 25  1 21 25  8 10
## [26] 30  6 16  3 13 29 27
## 
## [[98]]
##  [1] 14 14  5 17 20 24 23  8  7 24 19 13 29  2 25 18 27 19 15 13 18  7  6 25  7
## [26] 27 12 14 14  4 29 11
## 
## [[99]]
##  [1] 22 28  7 25  1 15  3 15 15 25  6  2  5 25  2  4  4 30 18 32 24  8 23  4 30
## [26] 29 24 13  1 10 21 26
## 
## [[100]]
##  [1] 30 16  7 14 15 19 10  2  2 30  7 31 26  7  8 31 14  8 18  2 15 15  6 11 21
## [26] 20 16 25 26  2  5 28
```

---
# Extract samples

```r
d_samps <- map_df(row_samps, ~mtcars[.x, ], .id = "sample")
head(d_samps)
```

```
##                   sample  mpg cyl  disp  hp drat   wt  qsec vs am gear carb
## Maserati Bora...1      1 15.0   8 301.0 335 3.54 3.57 14.60  0  1    5    8
## Valiant...2            1 18.1   6 225.0 105 2.76 3.46 20.22  1  0    3    1
## Volvo 142E...3         1 21.4   4 121.0 109 4.11 2.78 18.60  1  1    4    2
## Merc 450SE...4         1 16.4   8 275.8 180 3.07 4.07 17.40  0  0    3    3
## Mazda RX4...5          1 21.0   6 160.0 110 3.90 2.62 16.46  0  1    4    4
## Merc 450SLC...6        1 15.2   8 275.8 180 3.07 3.78 18.00  0  0    3    3
```

```r
tail(d_samps)
```

```
##                              sample  mpg cyl  disp  hp drat    wt  qsec vs am
## Lincoln Continental.1...3195    100 10.4   8 460.0 215 3.00 5.424 17.82  0  0
## Pontiac Firebird...3196         100 19.2   8 400.0 175 3.08 3.845 17.05  0  0
## Fiat X1-9.1...3197              100 27.3   4  79.0  66 4.08 1.935 18.90  1  1
## Mazda RX4 Wag.3...3198          100 21.0   6 160.0 110 3.90 2.875 17.02  0  1
## Hornet Sportabout...3199        100 18.7   8 360.0 175 3.15 3.440 17.02  0  0
## Lotus Europa...3200             100 30.4   4  95.1 113 3.77 1.513 16.90  1  1
##                              gear carb
## Lincoln Continental.1...3195    3    4
## Pontiac Firebird...3196         3    2
## Fiat X1-9.1...3197              4    1
## Mazda RX4 Wag.3...3198          4    4
## Hornet Sportabout...3199        3    2
## Lotus Europa...3200             5    2
```

---
# Plot both data sources

```r
ggplot(mtcars, aes(disp, mpg)) +
  geom_point() +
  stat_smooth(aes(group = sample),
              data = d_samps,
              geom = "line",
              color = "#4375D3",
              fullrange = TRUE,
              size = 0.1)
```

---
![](w6p2_files/figure-html/bootstrap2c-eval-1.png)

---
# Note, they match up

```r
ggplot(mtcars, aes(disp, mpg)) +
  geom_point() +
  geom_smooth(color = "magenta") +
  stat_smooth(aes(group = sample),
              data = d_samps,
              geom = "line",
              color = "#4375D3",
              fullrange = TRUE,
              size = 0.1)
```

---
![](w6p2_files/figure-html/bootstrap2d-eval-1.png)

---
# HOPs
Hops animate the process, so you can't settle on one "truth"

![](img/loess_hop.gif)

---
# How?
`gganimate::transition_states`

```r
library(gganimate)
ggplot(mtcars, aes(disp, mpg)) +
  geom_point() +
  stat_smooth(data = d_samps,
              geom = "line",
              size = 2,
              color = "#4375D3",
              fullrange = TRUE) +
  transition_states(sample, 
                    transition_length = 0.5,
                    state_length = 0.5) +
   ease_aes('linear') # Smoother transitions
```

---
# Another example

![](https://github.com/wilkelab/ungeviz/raw/master/man/figures/README-cacao-samples-anim-1.gif)

---
# Another examples
### From Dr. Kay again

---
# Conclusions
* Lots of tools at your disposal (perhaps so many it can be difficult to choose)
* Do try to communicate uncertainty whenever possible

--
* I'd recommend checking out [Clause Wilke's talk](https://resources.rstudio.com/rstudio-conf-2019/visualizing-uncertainty-with-hypothetical-outcomes-plots) from `rstudio::conf(2019L)`, where he talks about the [ungeviz](https://github.com/wilkelab/ungeviz) package.

---
class: inverse-green middle

# Next time: Dashboards
### Guest Lecturer: [Akhila Nekkanti](https://twitter.com/akhilanekkanti)