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@PatrickRWright
Created July 15, 2020 08:53
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Likelihood of k or more outliers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Assume you have a time series measurement with 20 different time points. At each time point, repeated measurements are taken to empirically asses the distribution properties. It is assumed that the measurements follow a normal (Gaussian) distribution. \n",
"Lets answer two questions: \n",
"1. How likely is it to retrieve a certain amount or more measurements outside of the 95% quantiles of your \"calibrated\" system? \n",
"2. How likely is a combination of measurements as extreme or more extreme than the observed combination?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Means (`means`) and standard (`sds`) deviations have been precalculated below:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# obligatory seed\n",
"set.seed(1337)\n",
"means <- c(0.04827899, 0.04952480, 0.05084177, 0.04930231, 0.05003428,\n",
" 0.05387358, 0.04822083, 0.05067458, 0.05195741, 0.04930304,\n",
" 0.05078668, 0.05173618, 0.04843410, 0.05011722, 0.04751318,\n",
" 0.04934763, 0.04901457, 0.04887176, 0.05083643, 0.05133066)\n",
"\n",
"sds <- c(0.004373966, 0.004167791, 0.002045001, 0.002453991, 0.003626918,\n",
" 0.005920482, 0.004622819, 0.001678202, 0.004973311, 0.004232492, \n",
" 0.003413781, 0.003047370, 0.003920473, 0.004116164, 0.003046219,\n",
" 0.004835463, 0.006469435, 0.003454349, 0.002611938, 0.004547551)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets calculate the 95% and 99% quantiles too:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"upper_95 <- qnorm(c(.975), mean = means, sd = sds)\n",
"lower_95 <- qnorm(c(.025), mean = means, sd = sds)\n",
"upper_99 <- qnorm(c(.99), mean = means, sd = sds)\n",
"lower_99 <- qnorm(c(.01), mean = means, sd = sds)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now lets plot the data. The green dashed line is the 99% quantile, the red dashed line is the 95% quantile and the red line represents the means. Since we will repeat this a few times we will write it as a function."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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2/f7jV+fJPjfg5+zAv0xgIAQGcg2AGo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4u2u4u7d/soympvrIkQCQHxLCqq4WRHwI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\nXnt/vf/r8LPD00vqd2dCEARBCIcSO6TVMB4v5dIlAGCoqZFpNH5NTZi7O8b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BuOXlnzZvBgCanFyPZcvq7sIA+/3l7xU1FVllWTW8GgCI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\nay1rkcXQfhrjxqk7OQGJxOdwUq9ceTVsWNT27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X9+whdfVBQVEcN0nDbN88QJvc4tbupF1g21HRo5K/K3939TnUng6iCfToyvq8vT0iKi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\nRiaTsV1DvVhbWxsYGMTGxvJ4tQ/4kEqlrq6u+fn59+/fV+xbX716tW/fv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"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot_helper <- function() {\n",
" plot(means, ylim = c(0.03, 0.07), col = \"firebrick\", pch = 20)\n",
" lines(upper_95, col = \"firebrick\", lty = 2, lwd = 2)\n",
" lines(lower_95, col = \"firebrick\", lty = 2, lwd = 2)\n",
" lines(upper_99, col = \"forestgreen\", lty = 2, lwd = 2)\n",
" lines(lower_99, col = \"forestgreen\", lty = 2, lwd = 2)\n",
" lines(means, col = \"firebrick\", lwd = 2)\n",
"}\n",
"plot_helper()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**To answer question 1** we can take a look at the so-called \"urn problem\" ([1](https://en.wikipedia.org/wiki/Urn_problem), [2](https://de.wikipedia.org/wiki/Urnenmodell)). \n",
"\n",
"If an urn contains **M** spheres of one type and **N - M** spheres of another type then the probablility that **n** draws (while returning the draw to the urn) from the urn yield exactly **k** spheres of the first color is given as: \n",
"\n",
"![fig](https://wikimedia.org/api/rest_v1/media/math/render/svg/979a86c71950485de92461cb8c73acfd985fdf19)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Implemented as a function in R:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"p_n_k <- function(p, n, k) {\n",
" choose(n, k) * (p^k) * ((1 - p)^(n - k))\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use the urn model to answer our question 1 by formulating that we have 5% likelihood to draw outside of the 95% quantile and 95% likelihood to draw from within. In total we \"draw\" 20 times while returning the \"spheres\". Thus we can use the `p_n_k()` function above. \n",
"Intuitively, 20 new measurements with many values outside of the 95% quantile are unlikely and may call for a reexamination of the system. i.e. The calibration may be off or the system being measured is going through a noticeable change.\n",
"Now lets put a number to \"many\":"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
"</style>\n",
"<ol class=list-inline><li>0.377353602535307</li><li>0.188676801267654</li><li>0.0595821477687328</li><li>0.0133275856851113</li><li>0.002244646010124</li><li>0.000295348159226843</li><li>3.1089279918615e-05</li><li>2.65895157198681e-06</li><li>1.86593092771004e-07</li><li>1.08027580025318e-08</li><li>5.16878373326882e-10</li><li>2.04030936839559e-11</li><li>6.6082894522934e-13</li><li>1.73902354007721e-14</li><li>3.66110218963623e-16</li><li>6.02154965400696e-18</li><li>7.45702743530274e-20</li><li>6.54125213623048e-22</li><li>3.62396240234375e-24</li><li>9.53674316406251e-27</li></ol>\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item 0.377353602535307\n",
"\\item 0.188676801267654\n",
"\\item 0.0595821477687328\n",
"\\item 0.0133275856851113\n",
"\\item 0.002244646010124\n",
"\\item 0.000295348159226843\n",
"\\item 3.1089279918615e-05\n",
"\\item 2.65895157198681e-06\n",
"\\item 1.86593092771004e-07\n",
"\\item 1.08027580025318e-08\n",
"\\item 5.16878373326882e-10\n",
"\\item 2.04030936839559e-11\n",
"\\item 6.6082894522934e-13\n",
"\\item 1.73902354007721e-14\n",
"\\item 3.66110218963623e-16\n",
"\\item 6.02154965400696e-18\n",
"\\item 7.45702743530274e-20\n",
"\\item 6.54125213623048e-22\n",
"\\item 3.62396240234375e-24\n",
"\\item 9.53674316406251e-27\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 0.377353602535307\n",
"2. 0.188676801267654\n",
"3. 0.0595821477687328\n",
"4. 0.0133275856851113\n",
"5. 0.002244646010124\n",
"6. 0.000295348159226843\n",
"7. 3.1089279918615e-05\n",
"8. 2.65895157198681e-06\n",
"9. 1.86593092771004e-07\n",
"10. 1.08027580025318e-08\n",
"11. 5.16878373326882e-10\n",
"12. 2.04030936839559e-11\n",
"13. 6.6082894522934e-13\n",
"14. 1.73902354007721e-14\n",
"15. 3.66110218963623e-16\n",
"16. 6.02154965400696e-18\n",
"17. 7.45702743530274e-20\n",
"18. 6.54125213623048e-22\n",
"19. 3.62396240234375e-24\n",
"20. 9.53674316406251e-27\n",
"\n",
"\n"
],
"text/plain": [
" [1] 3.773536e-01 1.886768e-01 5.958215e-02 1.332759e-02 2.244646e-03\n",
" [6] 2.953482e-04 3.108928e-05 2.658952e-06 1.865931e-07 1.080276e-08\n",
"[11] 5.168784e-10 2.040309e-11 6.608289e-13 1.739024e-14 3.661102e-16\n",
"[16] 6.021550e-18 7.457027e-20 6.541252e-22 3.623962e-24 9.536743e-27"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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EYqpEEm+4ZNwZcT535InP5WRiqkGZcV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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"# likelihood to return exactly 1...20 values outside of the 95% quantile\n",
"plot(p_n_k(0.05, 20, 1:20))\n",
"abline(v = 6, lty = 2)\n",
"# show values\n",
"p_n_k(0.05, 20, 1:20)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you can see on the plot above the likelihood strongly decreases with increasing amount of draws. i.e. a plateau seems to be reached at roughly 6 draws (dashed line)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"However, what we are really interested in is the cumulative likelihood of a result as extreme or more extreme than the one that we define as threshold. If we do not do this, it is possible that we end up being overly optimisitc because of a disregard of more extreme outcomes. Thus, we can sum up the likelihood of a certain amount of observations or more outside of the 95% quantile:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1] 0.6415141\n",
"[1] 0.2641605\n",
"[1] 0.07548367\n",
"[1] 0.01590153\n",
"[1] 0.00257394\n",
"[1] 0.0003292943\n",
"[1] 3.394617e-05\n",
"[1] 2.856885e-06\n",
"[1] 1.979338e-07\n",
"[1] 1.134072e-08\n",
"[1] 5.379601e-10\n",
"[1] 2.108169e-11\n",
"[1] 6.785914e-13\n",
"[1] 1.776244e-14\n",
"[1] 3.72207e-16\n",
"[1] 6.096778e-18\n",
"[1] 7.522803e-20\n",
"[1] 6.577587e-22\n",
"[1] 3.633499e-24\n",
"[1] 9.536743e-27\n"
]
},
{
"data": {
"image/png": 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v1mQ99qo8khpDlj4l73NDPuK8suNCV+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\nJECAkACB/w+NELTsZndxZgAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot(0, sum(p_n_k(0.05, 20, 0:20)), xlim = c(0,20), ylim = c(0, 1.1))\n",
"for (i in 1:20) {\n",
" points(i, sum(p_n_k(0.05, 20, i:20)))\n",
" print(sum(p_n_k(0.05, 20, i:20)))\n",
"}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the likelihood of having 5 or more measurements outside of the 95% quantile already has a likelihood of less than 1% (i.e. ~0.26%). Thus, while theoretically still possible, 5 or more measurements indicate that the new measurements are likely derived from a system with changed parameters when compared to the calibration. Conservatively, one may even be inclined to sceptisism if 2 or more measurements fall outside of the 95% quantile. I really depends on the specific problem at hand."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now lets bolster the theory with a practical example. The theory tells us that the likelihood of measuring 4 or more values outside of the 95% quantile is 1.59%. In other words, this means that we expect this roughly once every 63 times we measure 20 values (i.e. 100/1.59). To gain confidence we will repeat this exercise 10.000.000 times. Thus, we expect about **159.000** of the measurement series to show 4 or more values outside of the 95% quantile. Since this experiment will be repeated a few times we will again set up a function."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"experiment_helper <- function(reps = 10000000, k_or_more) {\n",
" last_extreme_sample <- c()\n",
" count <- 0\n",
" for (i in 1:reps) {\n",
" samples <- rnorm(n = 20, mean = means, sd = sds)\n",
" if(length(which(samples < lower_95 | samples > upper_95)) >= k_or_more) {\n",
" last_extreme_sample <- samples\n",
" count <- count + 1\n",
" }\n",
" }\n",
" print(count)\n",
" return(last_extreme_sample)\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1] 159081\n"
]
}
],
"source": [
"s_4_or_more <- experiment_helper(k_or_more = 4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For 5 or more values outside of the 95% quantile, we expect around **25.700** measurement series."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1] 25793\n"
]
}
],
"source": [
"s_5_or_more <- experiment_helper(k_or_more = 5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the sake of visualisation lets add two of the extreme samples to the original plot."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SbYKVSKqMworZUKAACchGAHoB4PCh58\nEf7Ft5HfxmbGNjrFFwqtR460mziRiOoqKp7eutXwrJ+9n7HQmDDMDgAAOgzBDkA96mOZg9ih\n2QusgoJ4AgERFV6/3vC4sdDYz96PMMwOAAA6DMEOQD1uZNwgIkexY0vBzlAisZ80iScQiPv2\nbXSK6Y3NKMnILM3UdJ0AAMBhCHYAaqBQKm5m3ySiAKeAVi7z3rBhwt273ceNa3Q80DmQeYHe\nWAAA6AgEOwA1uPPkTmVtJRENdhrc+pV8I6OmBz2tPS1FlkR0I/OGJsoDAIBOAsEOQA2uZ/w5\nbG6I45B2vJ1HvFcHvEpEXtZe6iwLAAA6GSHbBQBwQVRGFBG5dHWxMbOpP6hSKtN/+cXE3t4m\nOPiZLXwY+OE8/3kiA5EGqwQAAK5DsAPoqFpFbVxOHBENdRra8HhuWNjdL77gCQTjYmIMJJJn\ntoNUBwAAHYSuWICOis+Jr6mrIaIhTn/ph827eJGIhCKR0NycncoAAKCTQbAD6ChmoRMe8QY7\n/G/mhEqpZLaItQwMZJavAwAA0DQEO4COyq/IJyIvW6+uoq71B0vv35cVFRGR9fDhjd+gUt39\n4ovY996rq6rSYpkAAMB9GGMH0FGLAxfbmNtMcJ/Q8GBBRATzwqpJsKt+8uTxvn1ElHX8eI/X\nX9dOkQAA0BngiR1AR9mY2SwOWOxm6dbwYP6VK0Rk7u5u0r17o+tNbG2NbWyoQfgDAABQCwQ7\nAPWTl5YWJyQQkfWIEc2c5vGsgoKIqOD6dWVtbaOTG65uWHFuhaxOpvkyAQCAaxDsANSvIDJS\npVBQswPsiOi/gU9RVVUUG9vweE5Zzr+j/33s3rHQh6FaqBMAADgGwQ5A/Zj5sAKRqKufX7MX\nWAUF8YVC+m+PbT1bc9suJl2I6Orjq5ovEwAAuAbBDkDdVKr8iAgishw6lG9o2OwlBubmEm9v\nIsq/fLnhcT6Pz6xyfC39mlKl1HipAADALQh2AGqmqKmRFRYSkc2oUa1cxvTGVjx6VJWZ2fD4\nsB7DiKi4ujgxP1GTZQIAF5TWlMbnxLNdBegQBDuA9iuoLHhc/LjRQYGJie/mzR4ffug4dWor\n77X577yKRr2xw5yHMS8iH0eqrVAA4CK5Qn764elpB6bFZMWwXQvoCgQ7gHYqk5WF/BTywu4X\nmj5a6z5+vPvf/95SPyzDwtOTWfSkUbCzt7Dv2aUnEUWmI9gBQGP38u6tvbw2tzyXiPi8P3+I\nn7h/gtWiQIcg2AG00/X06yU1JQqVolxW3p7383jMnNnCqCilXN7wDNMbeyv7VrW8Wh2VAgBH\nFFYVvnXsrV03d22L2kZEAr6gu3l3Ijqfcl6hVLBdHegEBDuAdorKjCIiI6HRwO4D29eC3Ysv\nEhHf0JCUf5knwfTG1ipqY7Nim39nJ1BYVch2CQA659PznxZXF9N/v/4RkXMXZyIqri6Ozopm\nszLQGQh2AO10I+MGEfnY+RgJjdrXgtWwYcNPnhxx+jTf6C8tDHEaIuALqBP3xn4d8fXgbYO/\njfyW7UIAdMjx+8cvpFwgohd7vzjObRxz0FHsaCAwIKIwaRibxYHOQLADaI+CyoJHRY+IiFmd\npN3EXl5N9xwzMzRjngJ22vkTZ6VniWhn7M6s0iy2awHQCU/Kn3x18Ssisja1/nL0l/XHDQWG\ngc6BRHQ++bxChd5YQLADaJeozCgVqYhoiOMQTbQ/1nUsEckUnXRjsVf6vMIjXq2idtO1TWzX\nAsA+Fan++fs/y2RlRLT6hdUSE0nDs+PdxxNRYVXhzayb7NQHugTBDqA9ojKiiEhkIBrQfUD9\nQaVM9vTWLWYzsQ562/ft71/6fs+0PR1vSh99GPjhBI8JRHTywcmHBQ/ZLgeAZYduH4p4HEFE\nU72mjnYZ3ejsGNcxQr6QiM4lnWOhONAxCHYA7XE94zoR+Tn4MZ+njIQVK67NmPFg/fqOty/k\nCyd6THQUO3a8KT310bCPhHyhUqX85uo3bNcCwKas0qx/XfkXEdmY2Xw68tOmF0iMJcyYkLCk\nMOxYAwh2AG2WW56bUZJBREMd/zfATlFT8+TCBSKqq6xkrTIO6dGlx4x+M4jocupl5vkoQCek\nVCmXn1teWVvJI966cevExuJmLwtxDyGigsqCuJw47RYIOgfBDqDNmPmwRDTE6X8D7IpiYhTV\n1UTErE4HHff3gL+LDEREtOHqBmZEI0BnEyYNi86MJqLXBr42vGeLny0vuL7A9B5IC6TaKw50\nEoIdQJsl5CYQkYWRRV+bvvUHCyIiiIgvFFoGBLS1wZr8/IcbNpQmYnPYv7A2tX7b920iis+N\n/yP5D7bLAWBBV1FXAU/gYenx8YiPW79sw4QNb/u+PclzktZqA92EYAfQZmNcx9hb2C8cslDA\nE9QfzI+IIKIuPj5CM7O2Npi8dWvyv/8dt2SJOqvkhLmD5nYx6UJEGyM3YikH6ISGOg29tuDa\n8TeOM0+vW/FS75c+G/WZuZG5dgoDnYVgB9Bmw3sMj5gXMXfQ3PojVVlZFY8eEZFVu/phTezt\niagiJaUyPV1dRXKDuZH5wiELiSilKOVJ+RO2ywFggZWpVbtXQYdOCMEOQA2Yflgish4xoh1v\ntxk5knmRf+VKo1PpJem/3vtVVtcpFrRLL0l/8ecXP7/wecODs7xnzfef//GIj+0t7NkqDABA\nXyDYAagBE8iMrKzEnp7teLu5u7uJnR0R5V++3OjU/BPzl59bvj1me4dr1AMHEg48KHhw+M7h\nhks2CPnC5cOXN3w+CgAALUGwA+goZV1dYVQUMfNhebz2NcLMpS2MimKm1tYzNTAlImaDSM5j\nVgfsZ9uPz8NHEwBAe+DTE6Cjnt68WVdRQe0dYMewHjmSiJQyWVFMTMPjzC6QDwseFlUVdahK\nnfe06imzyUSAU5unFQNwCeYJQUcg2AF0VMnt20TEEwishg1rdyOWAQF8AwNq0hs7rMcwIlKq\nlMzTLA67kXmD6YFlsixAJ1SrqJ15aKbvFt8HBQ/a3UhRVdGVtCtIh50Wgh1AR3V/4YWufn4e\nixcbSiTPvroFQlPTrn5+1CTY+dj5mBqaElHk48iOlanrrqdfJyITAxNvO2+2awFgx3fXvovN\nii2XlT8qetTuRt797d13fn1ne3SnGJgLTSHYAbTBinMrZhycUVBZ0PCgac+egYcPu73/fgcb\nZ2bUVmZkVD5+XH9QyBcOdhxMRJHpXA92zPa79n6GAkO2awFgQXxO/K7YXUTU37b/ePfx7W5H\nwBcQ0YnEE2qrDPQKgh3A80rMTzx279it7FsxWTHPvrrtrP+76Eleo95Y52FE9KT8SUpRiibu\nqwuySrOY7XefOcDuUuolr81en/3xmVbqAtCSann1srBlCpXCSGj0zfhvmHDWPuPcxhFR6tNU\naSG2F+uMEOwAnlf9FrH9bftron1zNzdTZ2ciqnnyl5V468ecXUu/pon76oL6EYQBzs8Idrdz\nb1fLqw/ePojNzoFLvrn6TVpxGhEtCVzi2s21I02FuIfwiEdEYdIw9RQHegXBDuB5RWVGEZGd\nhZ2j2FFDt/DbsqX30qVuCxY0POjazbW7eXfidG8sM8BOYizpY92n9StfHfCqiYEJEX195Wtt\nVAageTezb+6L30dEPnY+7/i908HWHMWOXrZeRHQu+ZwaigN9g2AH8FwUSkVMZgwRDXUaqrm7\nWPTp47ZwoUGTSRjM3NiojCi5Qq65u7OICc1DnIY8cwU7GzObN73fJKKb2TcvPrqojeIANKmy\ntnLp2aVKlVJkINowYUPDHajbLcQthIiSC5M5PH4DWoJgB/Bc7ubdraitIA0Hu5YEOQcRUZW8\nKqc8R/t31wILIwsimuAx4XkuXuC/QGwsJqJvrn6DNR1A3629vDarNIuIlg9f7ixxVkub4z3+\nnHtxLgkP7TodBDuA5xKVEcW8GOrIQrAb5z5uts/sxQGL1fW5r2uOvnY0dFboRI+Jz3Ox2Fi8\nwH8BESUVJp1MPKnh0gA0KOJxxOE7h4kowCngDe831NWss8SZGdUQloRhdp0Ogh3Ac2H6Cnt0\n6WFrbsscqausvDR2bPjIkbXFxZq+u5Av/Dz480UBizR9I7aIjcXPHF3X0CyfWcxfxKZrm2R1\nMo3VBaBZpx6cUpHKzNBsXcg6ZsaDuoS4hxDRw4KHj4sfq7FZ0H0IdgDPJlfIb2bfpL/2w+Zd\nuFCRmlqVmVmVkcFeaZ2UsdCYibnZZdn7E/azXQ5AO73j+844t3HbXt5mb2Gv3paZYEd4aNf5\nINgBPFtCbkK1vJr+2g+bHxFBREIzM4u+fVmrrBOb1ncasyrEtuht5bJytssBaI8+1n22vbxN\nE9vouXR18bD0ICJpAVaz61wQ7ACeLTozmoh4xBvsNJg5olIqC65eJSKrwEC+UKj2O1akpj69\ndUvtzeoLeXm59LvvCq+3tj2ugC9YOmwpEZVUl+ChHUBT60LWzew/84OhH7BdCGgVgh3AsxkJ\njYjI197XUmTJHClLTJQVFRGR1fDhar9dXUVFxMsvX5sxo/DGDbU3rhcyDh1K2rIlZv78Rms1\nNzLWbewgh0FEpFBibixAY/1t+695YU0HlzsGvaP+Jw0A3DPHb05/2/6e1p71R/KvXGFeWGsg\n2PEEApVCQUQ5Z89aDmVhEi7ruvj4EJGiqurBN994b9zY0mU84u2euvtB/gNvO28tVgfAvqTv\nv88JC6sdOZLEYrZrAd2CJ3YAz8bn8Qc7DmbWWmMwA+zM3dxM7OzUfjuBiUk3f39qEB8bKqwq\nVJFK7TdlRUVtxZYbW5iJKQ119fXtPn48EWWdPFkcH99KCyIDka+97zOXNQbgkvQDB6SbN5cn\nJckKCtiuRQ+cenDqj5Q/2K5Ce/T70/DmzZvbt2/ftGnTyZMnKysr2S4HOgt5WRmTNqxHjNDQ\nLZiWq7Ozy1P+snD8ztidg7cNXnVxlYbuq2U/xvz43bXvFoU2s4xLnxUr+EZGpFLdX7OGVBwJ\nsgBhSWEXHl3oSAtF0dH3vvySiIytrUVOTmqqi7MupV5acmbJeyfeyyjpLMsX6E2wu3Tp0mef\nffb06VPml3l5eSNHjhw0aNB77723ZMmSyZMn9+jR4/Tp0+wWCZ1EQWQk01WqiQF2jPrImH/5\ncsPjzAZBv93/jRujyq6kXSGi+qUBGxI5Orq88w4RFcfHZ586pe3KADTg13u/fnDqgwXHF2SW\nZravhers7Ft//7uyro5vZOS3bZvAyEi9FXLPtqhtRGRuZG5pasl2LVqiN8Fu48aNP/74o0Qi\nISKVSjV58uQrV67Y29u/9dZbixcvDg4OLiwsnDp1alxcHNuVAvcx82EFIlG3QYM0dAuzXr1M\nnZyoSW/sEKchRFQuK7/95LaGbq01JTUlifmJRBTgFNDsBa4LFxpbWxNR4tdfK6qqtFocgLrl\nlueuurSKiKzNrLuJurWjhbqqqph585hpW/2++KKLN4aWPkNMVkxcThwRvTHwDZGBiO1ytERv\ngl1cXNyAAQP4fD4RhYeHR0VFhYSEJCUl/fTTT5s2bQoPDz9x4oRcLl+zZg3blQL3MZNVLQcP\n5hsaau4u1iNHEtHT2Ni6BsMMAp0DmeXpIx9Hau7W2hGVEaVUKYkowLn5YCcUiXovXUpENXl5\nKTt3arU4ALVSkerjcx8zCy6ufWFte0KGSpXwj3+UPXxIRL3mzHGaMaP+TOH16xeGD0/64YeW\n3lqrqL2UeqlMVtae0vXZ9ujtRGQsNJ7tO5vtWrRHb4JdYWFh165dmdfR0dFEtGHDBpHof/83\nXn755fHjx0dERLBTH3QmYi8vnkDg/OqrGr0L0xurlMsbLudmbWrtbulORJHpeh/srmdcJyIj\noZGvnW9L1zhMmSL28iKiRzt3VufmPrPNxPzEy6mX1VcjgHocSDjA/J+d0W/GyF4j29GC9Pvv\nc3//nYishg/vs2JFw1P5V65UZ2cnb93a0vaGG65uePe3dxeHLm7HffXXg4IHEWkRRDS93/T6\nlao6A70JdhKJJC8vj3ldXV1NRM7OjXdD79mzZ1lZp/tGAhoVnRl96M6hRgPa/LZsGX/7ts3o\n0Rq9dbchQwTGxtRkmN2wHsOIKCE3oaK2QqMFaNr19OtE5GvnyywTSESl9+5dHMnU+QUAACAA\nSURBVDXq/tq19dfw+Hyvzz4jHk9RXf2w5XVPGBW1FdMPTJ/z25zTDzHcFnRIZmnmuivriMje\nwv7TUZ+2o4Xcc+eYB3KmPXv6bt7MEwganrUdM4aIlHJ51vHjzb5dwBcQUWR6ZEFlJ5pFuyN6\nh4pUAr5gjt8ctmvRKr0JdkOHDo2KisrJySGivn37ElHT4XS3bt2y08DaE9BplcnK5vw259Pz\nnzbdbFFgYqLpuwuMjZtd9GSY8zAiUigVURlRmq5Bc3LKctKK0+iv/bCPdu2qzMjIPnmy4ZVd\nBw2ymzCBiJ7GxrbeponQhFmSZsPVDXKFXP1FA7SdUqVcHra8Sl7FI966kHVmhmZtbaEmLy9+\n2TJSqQzMzf137DCwsGh0QVc/P7NevYgo48iRZlsY5zaOqeT35N/b/jvQSxklGWelZ4nopd4v\nOYod2S5Hq/Qm2C1atEgmk02bNi0vL2/y5Mmurq4LFiyQSv/cAk8ul69cuTIqKmrSpEns1glc\nEpMZw2wRKzGRsFKA9ahRRFSdm1v73/ngRDTIYZChwJD0vDf2Rsafm2rUz5xQKRRMhO02eHCj\ni/t9+aXr/PkDvv669TYFfAGze1JmaebBOwfVXDFAu+yJ2xOTFUNEb3i/0dI8odYpqqqUMhlP\nIPDZvNnMxaWZK3g8x+nTiag8ObnZdR8HdB9gZ2FHRE2/o3LVztidCpWCR7x5/vPYrkXb9CbY\njR49esWKFTdu3HBxcZk7d+748eOTkpK8vLz69+8fFBRkZ2e3evXqHj16rFy5ku1KgTuYQWAG\nAoNWBoFplOO0aQ6TJ7t/8IHhfweYEpGJgYmvvS/p+fyJa+nXiMjCyMLL1os5UhQbKy8tJSLb\nJn3chl26eC5fbjlkyDObndl/pktXFyL64cYP+t5VDRyQ+jR149WNROQodlw+fHn7GjHt2TPo\n+PHhJ0+2snCm45QpzKbVGUePNj3LI16IWwgRxWbGFlUVta8MPVJYVfjb/d+IKNgl2MPSg+1y\ntE1vgh0RrVu3bvfu3ebm5r/88ssPP/ygUCjq6uru3r0bGRlZVFQ0ZcqUa9euWVp2ogGSoGlM\nX6d3d28TA413vDZLKBJ5b9zosWRJo+NMb2xacVp2WTYbdXWUilTME7vBjoMFvD9HC+VduEBE\nPIHAqgPLPgv4gsWBi4noadXT3Td3q6NYgPb7IvyLmroaPo+/YcKGjiy3Ie7b18LTs5ULjCwt\nmQf8OaGhdc0t1x/iHkJECpWiM+zBcPz+8Zq6GiKa7z+f7VpYoE/Bjojefvvt9PT0sLCwr776\n6v3331+4cOEnn3zy888/Z2Zm/vrrrxhgB2pUVFWUVJhEREOddG63Vmb+BBHFZj1j2JluqpZX\nM48NRvT8X4bLu3iRiLoNGmQo6VDH9wSPCf1s+xHRf27+pzM8nABdVqesI6J5/vP87P00fS9m\nAZS6qqrcsGb6W73tvG3MbIgoTMr93ti+Nn2NhcYTPSYynRudjZDtAtrM0NAwJCQkJCSE7UKA\n46Iyo5gtWZk1gXVKX5u+QT2CEvMTvWy82K6lPUQGom8nfptclDzVaypzpDw5uTI9nYg6PteY\nR7xlQctmHZ1VWVu5NWrr58Gfd7RcgPba+crOpMIkbzttrCRsPWKESffu1bm5GUeOOE6b1ugs\nn8cf5z5ub9zeG5k3SqpL2Bo3rB0BTgF3F9/ttFtId9LfNsAzMX2FJgYmA7sPZI6U3r8fNXt2\nztmzrNZFRMQj3p5pe2IWxrh2c2W7lnZ6sfeLSwKXMLNAiCgvPJx5oZZFZAKdA5ne6l8Sfuk8\nG0SCDjI1NNVOqiMinkDg8MorRPT01q2Kv+4xzWCG2SmUivMp57VTEos6baojfQx2KpVKKpWG\nhobu379/3759oaGhUqlUhT3CQd2YAXa+dr714UP63XcFkZEp27ezWhc3McHOzNXVtMn6lM2q\nSElRymStXPDxyI/5PH6dsm7TtU3qKRFAK5S1tdknT1Znt2f4rOP06cTjEVHepUtNzw5yGGRt\nak1E55LOdbBI0GX6FOyqq6tXr17t6OjYu3fvSZMmvfnmm7NmzZo0aVLv3r2dnJxWr17NLFwM\n0HF5FXnMKmv1/bBKmawwKoqIxP36sVkZF8mKiooTEqi5+bDNSj9w4NK4cTdmzaKWv9F5WnlO\n8JhARKcfnmbWrAHQfSql8taiRXEffRS7cGE73m7q5OS2YIFFnz7MhoSNML2xRPSw4GEH6wRd\npjdj7CorK0ePHh0dHc3n8729vd3c3MRiMY/HKykpSUpKunPnzsqVK8+cORMeHt5wnzGA9mEW\nOqEGMyeKYmIU1dVEZB0UxEpJtcXFBmIxj69PX8aeU8HVqyqlkp67H7auqoqInt68mXXiBNP3\n1Kzlw5enFae5dnU1NjBWV6kAGpW0efOTP/4goud8dN1U73/8o/c//tHS2Q+GfqBSqRpOWgLu\n0Ztgt3bt2ujo6Ndff339+vVNZ79mZ2cvW7bs4MGDa9euXb16NSsVApekPU0jIrGxuJ/Nn8/n\n8iMiiIgnEFgGBmq/nsxjxxI+/thh8mTvDRu0f3dNEzk58Q0MzNzcugwc+DzXO7/2Wuru3TV5\neQ+++cZ23DhhC9/l7C3sT715Sq2VAmhQzpkzSVu3EpFZr17916zRxC0sRZZfjvlSEy3rBZVC\nQUSNNmTjHr359n/o0CFfX9+9e/c2u6aJvb39/v37fXx8Dh8+rP3agHteG/Da9H7T14esZ/ZY\npP8Guy4+Pgbm5tqvpzwlhVSqnNBQeXl5S9coa8rrirMVlcWKcj3bDrKrj88LUVFBx48/5weu\nUCTyXLaMiGry8jDkEXRNWnFaO6bslCUmJqxYQSqVgYWF/48/svI5o9eKq4tPPjhZWdvMGn6M\nmvz8C0FBF4KCaktKtFmY9ulNsMvKygoKCuK33A/F5/ODgoIyMzO1WRVwla257bpx68a4jmF+\nWZ2dzcwysx4+nJV6rAICiEhZV1d47VrTs4qKoic/zkpZ2K0s8mfZ41uP/m6buS64NueB1st8\nLilFKU03cjWQSJh185+T/csvS/r3J6LUXbvaN8wcQBOSCpPG/TQuZE9IaU3p879LVlQUM3++\norqaJxD4bt5s2rOn5irkqoUnF3505qO1l9e2dIF006aavLyavLyGOzRykt4EO7FYnJaW1vo1\nqampko4tbQrQLOZxHRE1OyRZC7oNGcJ0ODK7qdbLLst++8CMhM/7l13/hZSK+uPVD69krgmq\nzdW5IdI/3fpp3E/jPgj9oIPt8Ph8r88/Jx5PUVOT+Kw9ZAG05sDtAwqlok5Rx+PxnvMtyrq6\nW3//e3VODhH1WbHCiqVvj3otNiuW2ZDX0rT53acqUlIyjx0jItsxY8x69dJqcVqnN8FuzJgx\noaGhe/fubemCPXv2nD59erQ6FsECaISJU0ZWVuJWd/XRHL6hYbfBg4ko//LlhlNBLz662CM+\n3Pzpk6ZvUVQWFxz4SHslPp9TD04RUUGlGjqLu3h727/4IhHlnDlTFBPT8QYBOqimruZk4kki\nGtZjmIWRxXO+697//V9RdDQRObzySq85czRYH3ftiNlBREZCoze932z2gsR161QKBU8gaGVm\nCWfozeSJVatWnT17dvbs2Zs2bQoJCfHw8BCLxURUWloqlUrDwsISEhIkEslXX33VpmbT0tIG\nDx5cV1fXyjUymYyIsFRep6Wsqyu8cYOIrIYNo+f+Fq521iNH5l26VJOfX/bggUWfPsxBL1sv\nx9IWx5RU3vtDUflUYNpVWzU+Q5ms7H7efVLfLm2ey5c/uXBBUV2duHbtsN9+4+SUYdAjYdKw\nMlkZEc3sP5Oebze7x/v2pR86RERdvL0HrG2xG7F9yqRSAwsLk+7d1dusrnlY8PBy6mUimu41\n3VLUzBO7ouhoZmE/x+nTzd3ctFye9ulNsHNxcYmMjJwzZ05MTEx8fHzTC/z9/Xft2uXi4tKm\nZp2dnY8cOdJ6sDt9+vTmzZuf/7k6cExxXFxdRQURWXdgc/qOq7973pUr9cGuv02/ZHnL/3pV\nyrrCx7oT7KIyohQqBakv2JnY2bm8+27SDz+U3L2bdfy449SprVyckJvwXeR3rw18bZzbOLXc\nHaCRI3ePEJGlyDLYJfhm0c3neUvKjz8SkbGNjd+2bXxDQzUWUxwfHzl9uoG5+ehLlwyaG6QU\nlRFlL7Z3FDuq8aas2BGzQ0UqAV/w7qB3mzmtUiX+619EJBCJPBYv1nZxbNCbYEdEXl5e0dHR\ncXFxFy9elEqlpaWlRCQWiz08PIKDg318fNrRJp/PH/msUVOPHj1qR8vAMUJTU7ZWsGOIHB3N\nXFwqHj3Kv3LF7b33mIMCvlAhEPLrGs9FqMfTpSXcmNUBDQWGvnZq25nbdd68jKNHa548Sdu7\nt/Vgd+jOocj0yNtPbg92GMztjTKBFalPU2OzYoloitcUIf95f7a6zJ2be+6c12efGVtbq7ce\nlVJJKpW8rCzzxIleb73V6OwfKX8sOLGgq6hrxNwIEwMT9d5amzJLM89IzxDRRI+JzYbU7NOn\nS+7eJSKXOXPU/oesm/Qp2DF8fHzal+EAnkedsq6ytlJsLK4/0s3fP/DoUaMuXZr91qtN1iNG\nVDx6VBwXJy8rM7D4cwRPTXdXg8zmJ8AKTLsY2OhQv8P19OtE5GPvw/wgUVRVxS9fbmxt7bVy\nZbv7uAUiUf/Vq+98+qnt2LGtXzneffzRu0fLZeX/jv73P0f+s323A00rqioyFhqbGpqyXUib\nHbl7REUqHvFm9Jvx/O/qOWtWz1mzNFFPVx8f0x49Kh8/zjx6tGmwE/AERPS06umVtCsh7iGa\nKEA7dsbuVCgVPOLN95/f9Kyytvbhxo1EZGRp6TJ3rtarYweGpAD8j4pUMw7OGPzvwTez/9KN\n0tXHRxcWIGB6Y1UKRUFkZP3BbiFLW7peHPweT2CgjcqeQ15F3qOnj4gowCmAOZJ5/HhuWFja\nzz/X5OV1pGWbUaPGXr/u/sEzZtqO6DlisONgItqXsC+nLKcjdwQNOfng5LAdw8buHsuMVNMj\ndcq63+7/RkT+jv49u7D/WUFExOM5TZ9ORGUPH5bcudPoZKBzIJOew5LCWKhNTQqrCo/dO0ZE\nI3uN7G3Vu+kFj/fvr8rMJCL3RYuEpvr3baF9uBPs8vPzb968efPmcw1rAGiWtEB6O/e2XCFn\ndp7QNd38/QUiERE1nATaI/Dts47N7D5kOvDFbi+v1F5xz8I8riOiAOc/g13ehQtEZGxra2xj\no50alg9fziOerE626fom7dwRnt9Pt35aemZpraI2ryLvQMIBtstpmwspF4qqioioTY/rNM1h\nyhRm0e+MI0canTISGgX3CiaiS6mXZHUyFopThz239jDFN/u4jojSDx8mIrNevZxnztRqZazi\nTrA7cODAoEGDBg0axHYhoMeiMqOYF4McdPEfEt/Q0HXuXAOJxGrYsIbHn454Y3lPm4gu5gJz\nK56hiZnPJNt5e+0Xn+AJ1TkWu4OuZVwjInMj8/42/YmorqqqMCqKiGyCg7U213hg94HMJugn\n7p9IKkzSzk3heWy5sWX1pdUq+nPxgT1xe2oVteyW1CbMtAmxsVinujWNra1tRo0iouzQUEVV\nVaOz4z3GE1FlbeXVx1dZKK7DFCrFgdsHiMjP3q+lT2z7l14ydXbuv3o157cRa4g7wU4ikbi4\nuLR1VixAQzfSbxBRd/PuPbr0YLuW5rkvWhRy65btmDENDw5zHnbX1ORf9t3KvENM3ALtFh23\nCHidxZVZmnUj4wYR+Tv4M7u0FVy5oqytJaJnjo1Tr6XDlgr4AoVKseEqB3fd1V+7bu4iImtT\n6wWDFxBRQWUB07OpL5g9xCb3mWws1KHpSkTkOH06EdVVVOScO9fo1PAew0UGItLb3lg+j29n\nbifkCz8M/LCla9w/+CD44kVmEdDOgzvB7q233kpJSUlJSWG7ENBXCpWCWbt8iNMQtmtpmyFO\nQ5i0lFmqo1vq5ZbnPil/QkSBzoHMkbyLF4lIKBJZavczt1fXXtO9phNR+KPwRiMpgUWfjvr0\nZc+Xj7x2ZEngEjsLOyLadXOXUqVku67n9f1L33884uOPhrW2JLissDBy2rRrf/uborpaa4XZ\njBrFTAVt2htrYmAyqtcoIgp/FK5fz0cZPOIdf+N49HvR6lo+iTO4E+wAOigxL5EZsj3UUc8+\nJiyMLJjAxMx000FWplaBzoEelh4v9X6JiFQKBbNeqFVQEN/ISMvFLApYxEzLXR+xXsu3hpZM\n85r27cRvHcWOQr7wHd93iCj1aeqFlAts1/W8+lj3mTtorpmhWUsXKGtrb773XnF8/NObN6u0\nuLsxTyBwmDKFiJ7evFmRmtroLDMyoVxWHvk4spk36zwDgQGWLmoKwQ7gT/UD7Oq//xVcvZq6\nZ4+y1fWrdcSWl7bsm7HP38Gf7UKaJ+QL907fe/ats11FXYmoOD6+triYiGw0sAdg4Y0bV158\nMf3gwZYusDGzme0zm4huZd+6lHpJ7QVAB/2t/98kxhIi2p+wn+1a1Obu558/jYsjIsdp08xd\nXbV5a6fp04nHI5WK2Sy1oVG9RjFfcs4lN+6oBf2lf8FOpVJJpdLQ0ND9+/fv27cvNDRUKpVi\nvy/oOGb5XCeJE9MTVFtcHDN//v1Vq3LD9GAAiqmhaYBTgL7sj5IXHk5EPIGAGdmtXjlnzpQ9\neHBv1SpmmYNmzfefz3zRT8xPVHsB0EEiAxEzydHGTEvTpTUt9aefMo4eJaKuPj79V63S8t1N\ne/RgBjxUPn7c6JTIQDS8x3AiupByoU6pB99g4Xno0wLF1dXVGzdu3L59e3aT59gODg7z589f\nunSpiYker6DdPpmlmeeSzsXlxL3t+7bOPrDRfQqV4mbWTWrQD1tw9apSJiOiDi5WznwVSUtL\nKykpsbS0dHd3d3ZuZnWSTuVJeDgRdRk40LCr+rc7c5w2Lf3QIaVMlvj1135btjR7jYWRxe4p\nu6Myo94Y+IbaC4DWKZQKZkhoK+b5z5vkOcnajAv7BBRERjJbWpl07672fcOe08D167NOnHCY\nPLnpqQkeE35P/r20pjS3PJcD24sB6VGwq6ysHD16dHR0NJ/P9/b2dnNzE4vFPB6vpKQkKSnp\nzp07K1euPHPmTHh4uEgkYrtYbUh9mnou6dy55HPMrupEVC2v9p+GYNdOmSWZVfIqajBzIj8i\ngoiEZmZdfNu//1VZWdmPP/6YnJzc8OCgQYNmz55tYKArSwdrWWVGRsWjR6SZflgi6jJwoMPL\nL2edOJEbFlYUE9PNv/n/FAO6DxjQfUCzpz49/+mVtCu9uvbqbdXbw9LDw8rDrZubkVDbYwE5\n6erjq4tPL3YUO/72xm+tDwm1NbfVWlWaU5mefmvxYpVCITA2HrR9u5GVFStlmNjbu73/frOn\nxnuMTypMkphIuJHqCq5dS/rhB5c5c7Q83V6n6E2wW7t2bXR09Ouvv75+/Xo7O7tGZ7Ozs5ct\nW3bw4MG1a9euXr2alQq1Q1ooPZd07lzSuUarcLl0dWm6//GFlAspRSnv+L1jKNCh9cx0U1px\nGhHxiPdnsFOpCq5eJSLLgAC+sJ3/TZRK5datWx836f6IjY3l8/nvvPNO+8tVqeKWLq18/HjQ\n9u16t/shXyBgHlrYTZigoVt4LluWe/68oqrq/qpVQSdP8vhtG3MS+jC0srYytzz3Wvo15oiA\nL+jZpaeHpUdvq94eVh79bftbmbLzE1qvhT4MXRa2TK6Q19TV1Mhr9HHfsLZRqWLmzZOXlBCP\nN+Drr8VeXmwX1AwBT9D6ZF5dIy2UGguNnSXN9Hsoampur1hRnZsrMDJCsNMDhw4d8vX13bt3\nL7+5z2h7e/v9+/dLpdLDhw9zNdjtjN15+M5hJn/U87D0CHEPGe8+3s2y8Zagdcq690+9X6es\nK6kp+XjEx1qsVC85ih2NCo1G9RplbWpNRKWJibLCQvrvLl7tk5CQ0DTVMaKjo0NCQpp+RXlO\n8vLy7JMniSjz6NGWvojrLBN7+1HnzxORyFFTTwiMbW1d582TbtpUmpiYeeyY04y2bQbw75f/\nffLByYcFD5MLk5llIBRKRUpRSkpRCrPduLHQOHRWaK+uvTRSPUftiduz5tIapUppJDTa/OJm\nDqS6vIq8769/P9pldLBLcNOzKpWqtri4IiWFiNzee8/+xRe1XiAHxefGzzgww1BgGDEvopuo\nW6OzaXv2VOfmEpFd5/7T1ptgl5WVNWnSpGZTHYPP5wcFBW3fvl2bVWmNtFC67sq6+l962XiF\nuIeEuIe0simhkC/0tvOOzYrdfXP3BI8J/W37a6VSfeXazfXuxLv1Q3/yr1xhXlgPH97uNhMT\nWxuY/+DBg3YHOwMLC3M3t/Lk5PzLl/Uu2JEmI109l3ffzTh8uDo39+G339pNnNimbSIDnQOZ\n5WMUSkVacZq0QPqw4KG0UCotlGaVZhGRrE5WLW9+KbLI9MiymrLeVr2duzi3e/WZitoKuUJe\nUVtRI6+RKWRlsjK5Ql5ZWzmg+wB7C/um11fKK4noj5Q/XrV+VQeXvFGR6tur326L3kZE5kbm\nOybvYDbt1XffXP3m+P3jkemRzQa7wmvXFDIZEdmOGeOxZInWq+OmbVHblCqlilRCfuP0Ultc\nnLJ9OxFZeHg4TpnCRnW6Qm+CnVgsTkt7xvadqampEgk3l7TpIekxxmVMSU3JWLexIW4hDmKH\n53nX6rGrX9r7Uq2i9uNzH59886SBzuwHr5saDuhmBtiZu7qatDd7EVFFRUUrZ8vLy9vdMhFZ\njxxZnpxcfPu2vKTEoME/+5q6mjeOvBHgFLBwyMKOtK8uEWkR666sm+s/95U+r2jzvgITE88V\nK+I+/FBWUJC8davn8uXtaYQvcO3m6trNdWLvicyRcll5clGyyEDU7I7jcTlxs4/OZl4bC43d\nLN16W/WeXlnw6MntrPh9VfKqanm1v6N/gFNA0/eml6TP/W1uTnlOS5GRiLqYdIleGN00up19\neJaI1kes35e0b9nwZWNcxjT3bnYoVIrPzn/G7LhlbWq9e9puTytPtotSgzJZWZg0jIhaGqmp\nqqsjInN3d++NG9s6GACaJS2UXnp0iYim9p0qNhY3Opv0ww/y8nIi8lyxolNtINaU3vxrGzNm\nTGho6N69e1u6YM+ePadPnx6tmeHYWqBQKa5nXN8atTW7rJm1K42ERjte2XH41cPv+r37nKmO\niFy7uX4w9AMikhZKt8dw81mmJsjLy4vj4ojIqgP9sERkbm7e7rPPZD1yJBGpFIr8yL+sLFpU\nVXQj48a3kd/efXK3I+2ry/fXv5cWSo/ePar9W9u/+GJXHx8iSv3pp1aWPmkTcyNzHzufZlMd\nEdmY2TALsBFRTV3N3Sd3j949mlWWdT75/BfhX6yPWP/DjR/m/Dqn2VX+47LjHj191EqqIyIr\nUys+r5kPbX/HPyeIpBSlzD8+/28H/xaXE9e235hm1NTVLDy5kEl1zhLnI68daV+qSy5MLq0p\nVXd1HXIy8WRNXQ0R/a3f35q9wHrECKNu3YYdOyY0a3HVYmiTHdE7VKQS8ATz/Oc1OlWZkZF+\n4AARWQYEdGT8DDfozRO7VatWnT17dvbs2Zs2bQoJCfHw8BCLxURUWloqlUrDwsISEhIkEslX\nX33FdqVtI1fIr2dcP5d07o+UP4qri4no7pO72yerLYTN958fJg17UPBgW9S2ELeQpkPxoKnC\na9dUCgV1rB+WiPr06RMREdHK2Y403tXXV2hqWldZmX/5csPhO91E3QwF+bWK2vUR6/fN2NeR\nW3Rcuaz8Tt4dImJnJACP1/ezz65OnaqsrZVu3uy9QeObw9pb2F9fcD2pMOlBwQNpgVRaKH1Q\n8IAo938VES+oR1Czk5km9p5YUFlQUlNiLDQ2EhqZG5kbCgxFBiKRgchAYCA2FhsKDJ0lzjxq\nZqlCZiD5fP/5ux/uLqkuuZl9c/qB6WNdxy4bvsylK2vbZ5fJyuYdnxebFUtEfW367p6621Jk\n2Y52wh+Fzzs+z1HseP6d87ozD4xJq45ixxb3s+Lx+IaGbRoDoB3pBw9WZWZ6fPghKwuvtFtm\naeZp6WkimuAxoekE3ocbNijlch6f3+djDCjXn2Dn4uISGRk5Z86cmJiY+Pj4phf4+/vv2rXL\nxYW1T7E2kdXJrqZfPSc9F/4onNnGimEgMBjZa6QabyTkC9eFrJvyy5RaRe0/f//n4dcO6+AQ\nHF3D9MMKTEy6DRrUkXYGDhzYq1ev1Cbb+BDR0KFDu3fv3pHG+QYGloGBT86fL4iIUCmV9X09\nxkLj1wa8tiduz/WM65HpkcOch3XkLh0UnRWtUCqIqNnORy2QDBjgOHVq5rFjipoa7dzRSGjU\nz7ZfP9t+9Ucefenf32vMxxNXGAoMmVX+m2UoMGz6HKJNpnlNe3PYmztiduy5taemruaPlD8u\npl6c7jV9UcAiVlb6/b8L/8ekuqFOQ7dP3t7Kdlutk9XJiCizNPN44vGWHo9p2d0nd5mlraf3\nm97sM1SdVVtScuezz4jIpHv3Hm++2ehscmFydV21bg7I/k/sfxRKBY948wfPb3SqOCEh5+xZ\nIrJ76SVx375sVKdb9CbYEZGXl1d0dHRcXNzFixelUmlpaSkRicViDw+P4OBgHx8ftgt8Llcf\nXz1279il1EuVtZX1B42ERkE9gkLcQ0a7jLYwslDvHb1svN71e3dHzI743Pif435m9mGEVjDd\ndlaBgR3cxpTH4y1cuHDnzp1SqbTh8cGDB7/++usdKpGIiKxHjHhy/rysqKj03j1J//99Fr8/\n5P2j945W1lZ+E/FN4JuBzT7j0Y7r6deJyEBg4Ofgx1YN/descXj55S4DB7JVgAHfwMxY3HRI\nkCZYGFksC1o2y3vWpmubfr33q0KpOHTn0MkHJ1eNWfVKX62OcSSiLiZdKBf9hgAAIABJREFU\niGiix8QNEzZ05EnbC24v2FnY5ZTl/Cf2P9O9dCJIHb57mIgEfME0r2ls19I2hmKxyNGxKjMz\n/ciRRsEuvzJ/0r5JcoX8+BvHG34z0QWFVYXH7h0johG9RjTtzU9ct45UKr6RkefSpWxUp3P0\nKdgxfHx89CXDNfXo6aO3j72toj83QBMZiEb2GhniFjLKZZTIQIPrKi8KWHQ++Xxacdp3kd+N\ndR3LjYUoNafvZ59lHT/eQx3Zy9zc/KOPPkpOTk5NTS0uLraysnJ3d3dU05xQm5EjmRf5V640\nDHZdRV3nDpq76dqme3n3zj48Wz/wX/uYXdq8u3sz/7zT9u6tefLEY8kSvhYXZ+YLhZYB7Dwv\nZIuNmc2/xv1rjt+cbyK+ufDoQrW8+sjdI9oPdiuDV77j+87zjwluiZAvfNv37TWX1qQ+TQ1/\nFD7WleX1yarkVaEPQoloZM+R+rfpGY/nNH36w2+/LUtMLL1/v+HzLUO+oUKlUJHqROIJXQt2\nP9/6mRnRyOw111D+lStPY2OJqOesWSb2zcwZ74TY/+rTqXQz6WZjbmNmaDbJc9K2l7fFvh/7\nw0s/TOw9UaOpjoiMhcZrx63l8/hV8qqGy6bAqQenPL/zbNgbTkQWHh59Pv5YjUtyuLm5jRs3\nbubMmaNHj1ZXqiMiY1tbCw8ParA4S705fnOY8UzfXvuWrS0g8yvzUwpTiCjAOYCIyqTSe19+\nmbJjR8FfZ3uAhrh2c2VmXL3p/SYrK1nyiNfxVMeY2X8m88hzR8wOtTTYEWelZytqK4hoRv+2\nrY+oIxynTWMmjWYcOdLwuMREMthhMBH9nvx7/dMHXVBRW7E/YT8R+dj5NN02szI9nYgMJRK3\n995joTidhGCnVRITScS8iLgP4r6b+N04t3HGQmOt3drfwf/1ga8TUYWstTU4OpXM0sxPz39a\nq6htdpaiXmDmf5XcuSMv/cucQZGB6P2h7xPR4+LHzChv7buRcYP58cAMsMu7cIE5bu6GGTza\n42fv98XoL1pakkNfiAxEzK6+8TnxzLg9Fh2+c5iIbMxsRvUc1fSsrKBA6xW1jbGNDTMtLPvU\nqUZjT0PcQ4gotzw3ITeBneKa89u935jv3gsGL2h61vnVVwesWzf0wAEDsTZGO+gFBDttE/AE\nz9wAW0NWBq/8ZcYvW1/eysrddY1SpVwetrxKXsUjnrlhh1YeYZH9pEl8odBQImnauflq/1eZ\nPvcfrv/AbIOrZcwAO1NDUyZVPAkPJyKL3r1FDup5igMdx8o/jFYo6+pSd+/OOXOm6alZPrOY\n7Xp3xu7Uel3/k1maySwlM7Xv1Kaf5PfXrDk/ZEjSli1slNYGzF4s8rKy3HPnGh5/we0FZnbd\nOem55t/JBmMDYyLqb9u/2YWg+QYGTtOnM30XwECw60QEPMEQpyHtnpvGMXvi9sRkxRDRG95v\n6O/+7haenqOvXBn1xx8CUePefAOBwZJhS4govzJ/f/x+7dfGDLDzd/AX8oU1+fkld+4QkY3e\nrjTJPcvClg34fsDi04szSjI62NShO4d+jPlRqVJ2sJ2kzZvvr1lza/Hi0nv3Gp2yFFlO6TuF\niC4+uphSlNLBG7WbuaF5N1E3CyOLVwe82uiUrLDw8f79RFSV0dE/T02zDg42srSkJr2xVqZW\nzDync8nndKc3dka/GWFvhf3yt19YnAemXxDsoDN69PTRxqsbichZ4rx8eHv2JNAdxra2LfVB\nvNT7pT7WfYgouShZu0VRekl6TlkO/XeAXd7Fi6RSEZFNcDPfubWpJj//0c6d1dnNLAPe2aQ+\nTVWqlKcfnn7hpxe+vPjl06qn7WhEoVJ8ev7TT89/+nXE19GZ0R0sSWBsTESkUkm//77p2Xf9\n3hXwBCpS/Rj7Ywdv1G4SE8nluZcj50faWTTek+bxL78oa2uJyOlvOrEmSyv4QqHDK68QUVFM\nDDNGrV6IWwgRZZVm3XvSOFuzyN3SXdMj0bkEwQ46HYVSsTxseU1dDZ/HXz9+PYc/L/g8/vbJ\n2z8d9emKESu0fGsBT2AgMDAQGDDbW+WFhxORkZVVw9m7rEhcty5x3bqY+fOZNag7sy2Ttrzs\n+TKfx5cr5Hvj9o78z8gtN7a0qXNWVif74NQHh+4cIiIniRPzLaIj3N5/32n6dCLKu3ix6UO7\nHl16jHUbS0SnHpxqXwxVC5GByNSw8bLDSpks/ZdfiEjSv39XX1826mob5s+ZVKrMo3/ZFWac\n+zhmQZmwpDBWCoOOQ7CDTmdHzA5maPAcvzl+9n9ZX63k7l15SQlLdWmEvYX9O77vtG/F/45w\nEDuce+tc2FthThInRXV14fXrRGQTHMz6ppliT08iKnvwoFEnVCfU3bz7txO/PfnmyaAeQURU\nWVv53bXvgv8T/EvCL88zk7pcVv72r2+fTz5PRH2s+xx59Yha1upzX7SIb2DQ0kO79wa/x8QO\nmULW8XupUXZoqKyoiIh6vaMfC4Waubh09fMjoqwTJxoetzGz8bbzJqJzSTo0zA7aBMEOOpcH\nBQ++v/E9Ebl2c10SuKThqawTJ65Onhyp890o+qJHlx49u/QkooJr15jJd6z3wxJRz1mzmNkb\n0u++Y7YM7+T6WPfZM23Pvhn7vGy8iKigsuDzC5+H/BTS+s/1/Mr8Vw+9yvS9DnEacnDmQStT\nK7XUY2Jn5zhtGrXw0M7LxuvUrFOhb4Z2N+/Qxi1ql/rTT0RkbGvbffx4tmt5Xi5z5vD4fJMm\nW+Awc2PTS9KZ3TV0UEVqanVu7rOv66wQ7DovpUr52R+fLTq9SNdmxmlOnbJu2dllcoVcwBds\nGL+h0ZyJnNOniUhRWdnCu6GdmH5YgYmJVWAg27UQ38jIc/lyIpIVFSVvxQzxPwU4BZx488Tm\nFzc7SZyIKK047f1T70ekNb/TcXpJ+owDMx4UPCCiEPeQn6b+9P/s3XdYU1cbAPD3JoSQhL03\nggxBpqKguHeVOuqWOltx4K5ate69ratWrQsXqFWpddatICCCICAqe4cZRgKZ9/vjtnwICTOD\nwPk93/M9cs/NvS9Uw5tzz3lf6W7Jslu4sIFJO0cDx7bW87ooLKw8KQkArKdPJ6koTdl/42HD\nhoSG9rp8uc7xEXYjiGnRpMIkRcTViJKoqOcjRjwfPrydPV2RIpTYdVy55blXY6/eTbq77+U+\nRcciJ58KiabssMBrQZ3S6rhAUBQRAQAG/fopJrj2CseZz54BgH7v3mSaxE6p8mQ6cqRujx4A\nkHb+fJ2V40pBUFlZmZxcEh0tkOqHEAww3y6+j2Y/2jRokx5dT5WsSvQEqyOBmTDpyqSssiwA\nmOo29ci3R1rQLgwXCj8fO5a4e7dIIOaZb8OTdm0QMV1HptGspkxRdCzNo2ZoSFKt+5/PVNN0\n1/Bds7vPJqbuFEIoEiYXJ4vZmYvjibt24UIhLhJhypNDyxn6uXRc5lrm3pbe4Znhl95fGtVl\nVJ3VZu1SF8MuM7vNJGGkxb0W1xmqTE0VcjgAYKiciV1Vbu7nI0e0DXMVUyNRMlwkElVXA4Dp\nyJGKjuU/GOa8fv2rceNEfH7Cjh2u27erMBgqjLrL4RWuJCqKk5VVzWRWFxRwi4qqmUxuYWF1\nQYGwqoo4Qc/Lq/eVK9K9KYVMmdFtxlS3qWweW5umXWc0nhnvF+xH9F1Y3GvxMp9lLbiFkMN5\nt3Qp8+lTADDo21fsPK7dwoVZN26I+PxPR470PKWwPbC1iXCR2Da17LS0gufPAcB83DiKdt2f\nmJJSeA/cFfdW/J309zKfZXXeq3Pv3St9/x4AbObMUVFHpbvEQ4md0uNXVOQ9eFDNZHaeM6d+\nMbOG7Ry2c9SFUVX8qnUP192ZcUd5y7k1ERkjbxy0UewQ8SQFI5OVtK9oWmBg5vXr3C7Vpv27\nNnAah8+p4FbIs8ElRib7XLvGTk83HqrgFp+1aTk7m3/3XdaNG8wnT/558gQAdHv06H3lSv29\nHbhQmBEUxC8vV2EwVOh0Mp1O0dJSodNVGAwynU7R0FBRVycaNDUDjnOLirhFRdySEs0uXah6\nevVPyQwOjl23ruHLNPu+TUYhU+pndQDw6MujSl4lCSNtHLRxusf0+ic0iltUFPnjj6wPHwBA\n28VF18ND7GnEpF3G1avMp0/LExM1nVq737aVtj7devn95YOjDo5yqNt5OS0wEBeJAMNsZs1S\nRGjt0Oeiz3eT7gJAefVXzR5FfH7S/v0AoKqra+vvr5jglAFK7JSViM8vePEi+/Zt5tOnIi4X\nACiamtYzZtQ+R8jhVHz5ou3qCpj4uo5W2lbLfJbter4rpSTl6JujK/uulEfobRKR2Ol4eFA0\nNRUdS0to2NoCgLCqil8psWWcCBf5XvDNLs8+O/5sH6s+8ovN3l7D3l5ut2uiLj/9lP/oEb/8\n398crLg4EZdb/2Fx3oMHHzaK/zBQw2jgwJ5//FH/OC4UZv35ZzWTWR0Wlv1mfXVBAbewsJrJ\n5BYV1RRboVtYDH7+vP5ra39IU1FXVzM2purpqRkbU/X1aUZGVH19NWNjbTcxjcIqU1Ojly/X\ncnJyWrNG6k2WpntMr+RV9u3Ud6CNmG5ajapMTY2YM4eTlQUAhgMGdD96tIHPonYLF2b9+aeI\nx6tITVVsYlfALrj0/pJQJIzNi62f2FWmpQGA0cCB6p07KyK6duhU5CkccDJG/t7j+9rHM65c\nYWdmAoD94sVouq4BKLFTNjhe8u5ddkhI7r17tZeO0kxN9b2965z7NiCg8OXLTn5+Llu3Srre\n7O6z7326F5sXe+rtqZEOI1tfiUoZ4UJhdUEBAENJn8MCsTQQwwCAVyKxvheO46xqllAk3P18\n918z/hL7XKn1MlmZd5LuTHCeIM95wRZQMzTs99dfpTExAg6HX1am6+kpdgmgpqOjmpFRNZPZ\nwKWK3rwR8fn1u7rl/PVX7Nq1lm55lfGskizxa8UkfZAw+/Zb4iOZmoFBs9YmFr5+XRYfXxYf\nX/DihduuXUQ3YWkxYBhImvNuVMm7d2/9/XksFgBYTp7sum1bwzOONFNT7/PnK9PSTCXvMxXi\nQoFQIOtHDX/G/ykUCQFgpIOY5QSu27bl3r9v8d13Mo2h48guy76TdAcARjiMsNK2qjnOr6j4\nfPQoADA6dbKaNk1h8SkDlNgpjcrU1Ozbt3NCQjjZ2TUHVRgMk+HDzcaO1ff2rv8uiWEYAKRf\nvqxua1tnMq8GGSPvGr5rzMUxfCH/5wc/3/7+tqJa2SqQkMslNhJJ97egPKkZGmo5OgI7lFda\nKukcMok8t8fc/a/2fyz8+NfHv8Y6jZVFJGsfrQ3PDE8pTjk46qAsri9FdAsLuoVFw+eo29gM\nDQsT8flCNptfUSGorBRwOEI2m19ZKaioEHA4wupq3W7d6md1AKDp6KiqrQ2QBxhGNTCg6uur\nGRlR9fVpxsaqeno0ExOqvr6mo6OkWzOsrCQNNcBywoTCV6+YT59WM5kRP/xgOWlS13XrFD69\nkffgQfSKFSIuFzCsy/LldgEBTXmVnpeXnpeXpFERLhp7cWx6afrVKVeJWi2ygAN+/cN1AHDQ\nd3A3ca9/At3CAj0WlKIzUWcEIgEG2Pye82sfT/79d+LNzXHVKiXaeqwQ6KejHErevg3z86t5\nfENSUTHo189szBjjIUP+bcIjjtuuXa/GjatmMhO2b1fv3FlSsQkHfYcFXguOhB1JLEg89fbU\nAq8FMvke2jARlwtAo+rrK3wpT2sYDhhQejdUwGZzi4qIRpD1zeo2KzA6sIBd8Gvor6McRlHI\nYtKR1mDz2FHZUQCgz5B3SWSZIlEoJG3t5i6N1+zSZfi7dxmbvc27j9H7dq2MYquDTKf3PH06\n68aNhO3b+RUVmcHBha9fu+/Zo9+rl3wCqC/13LnEnTtxkYikouK2ezfRzKr1+EJ+SkkKV8A9\nEnbk1DhZbbCIyIzIYGUAwGTX9lzhMnHXroygoG4HDyq2m3Mxp/h6/HUA6Gvdt/bjo+r8/LTz\n5wFAx8PDZPhwRYWnLFC5E+UgrKrChULAMN1u3Vw2bx4aHt7z9GkzX98GsjoAUDMy6nHyJFlN\nDRcK3y1ezE5Pl3TmQq+FRGmoo2+OppakSj1+Rckqyzoffb6cW97AOSKBgFikaNC3r8L7IrTG\nv9ONOJ4ibr0XgUahLem9BACyyrKuxl6VegwRWRFE04Lelkq5B0UWMDJZ/n+vLCZM6H//vkGf\nPgBQlZPzZvr0+C1barbTylNaYGDC9u24SKSirt7z7FlpZXUAQFWhftf1OwB4mvI0uThZWpet\nI/hDMHGvMU5jZHSLtqDw1StBZWX9woGF7MJX6a9EuEg+YVyIvlDFrwKAOtN1SQcPEkXOndau\nlbRkHKmhxL/GOhSDfv363bkz+Nkzn+vXO02frqojpr6UWNouLm579gCG8cvKIv39a5aK10Eh\nU3YP303GyFwB99ibY9ILXJHKueVTg6Zue7rtaNjRBk6rTEnBcRyUttBJDZ1u3dSMjQEg9cyZ\nojdvJJ020WViJ51OAHAs/BibJ+VqzGGZYQCgQlLpadFTuldGmotmYuJ9/rzL1q0qdDrgeFpg\n4ItRo0revZNzGBVfvgCAmpGRT3Cw1CtU/+j5Iwkj4YCffntaulcmsKpZD788BIDhdsO11dpJ\nKROxiIYZZfHx5YlfdZuYfn36rBuzAmMC5RADm8e+GHMRADxMPbws/v8Inl9RQfQ9Mx42TCn6\n8CocSuzaBhwvjYn5sHnz6wkTSt6+FXuKlpNTo+uBxDLz9bVbuBAAKlNSopculdT73N3EfYH3\nAgDorNdO9nZtfbo1ryIPABwNJS5jAgB1GxuymppW167KPsOPkUjGgwdjZDIuEsWsXCmpLLsK\nSWVFnxUAUMwpPhN1RroxhGWEAYCbiRudQmfFxqaeOUNUB0QUA8M6+fn1v3dPr2dPAGBnZLz5\n/nt2Wpo8Q3D6+WeP/fv7hYRoduki9Yt30uk0zG4YAIR8DGFWNrTBpWVCEkO4Ai4ATHZpz89h\nAcBiwgRilXbm9eu1j5MxMgDcTLgphxiuxF4hnq7M9/pquk6FTtf19KSZmDitWSOHMNoBlNgp\nGDst7dOvvz4dNOj1hAnpFy+WxsRk3ZT+PyGHZcuMhw0DgIKXLxN375Z02nKf5fFL4wO8m7Su\nuY17nPz4VsItAOhv3X9c14ae/pAoFFUdHZvZs0lUpS/jR9HWVre2BoDq/Py4DRsknTbSYSTR\neOOPqD9KOBJ30TZXEafoc9FnAPCx8sGFwsi5cxN27ky7dEla10dahm5h0evy5a7r1/+7ckO+\nz4VV1NXNx42jGkihk6zYD6X+PfwBgC/kn3t3rvW3qCM4LhgArLStvCwl7uFoH2gmJsR8anZI\nCLE0hTDcbjgAJDATiF4jsiPCRcR/QTt9u8Gdv1rnh5HJva9cGfL6dcu2E3VAKLFTDG5RUdqF\nC6++++7pkCGfjx4lavNgZLLhgAGy2GCFkUgeBw4Q++9Sz56t85msNhqlTTR9aqXSqtJfHv0C\nAFpqWruG78KgA63JUDM2JkoB5967J2m2DANsVd9VAMDmsY+HS61fanhmONECqLdl7+K3b7nF\nxQBAM2rTRU86CIxEspk9e/CLF4OfP1fS3475jx7dc3KKrTdn42biRjy2uxp7tYJbIcU7vs97\n/6noEwBMcplU5z0k+/bt1xMmFEdESPF2Cmc5aRIA8MvK8h4+rDlY01Xs7LuzoRmhNf+LyYsR\n0+8LAAAquBVhmWHEaY+TH9/7dK/O/15nvK6/aE+Ei7hCLgAEeAd0qHdsWUC7YuUt//HjjCtX\nCl+/rv3pU9vNzXzMGFNfX7E16KVChU7vefLkq3HjuMXFH3fvtpw4UUY3ags2/LOhiFMEAJsG\nb2rj1dRkwX3Pnnh1dXUbmwaqv/pY+fhY+YRmhF6JvbK8z3KpNHEnnsPSKXR3E/fPF/YC8VlF\naSvItD+S9korBVZ8vEggyLxxo9P332s5f1XcxL+Hf0RWRCWv8krslXk950nrjuGZ4QBAJpHH\nO4+vfVzA4cRv2cIvL8+6ebOBaixKx2jIEFVdXV5JSea1a2ajRxMH7fXtO+t2TilJCYwODIz+\naqXdxkEbZ3abWf86P978MSonquF7rRuw7gfPH2ofUSGphHwfkluR29McLc9tLTRjJ1cVyclv\n588vePGCyOoYVlb2ixcPevy4782b1jNnyi6rI9DMzHqcPMmwsjL99luZ3kix7iTduf/5PgAM\ntxs+xrE9b2SThKKl5bF/P7GwsgFr+q+hUWhG6kYUknSKnhA7JzzNPSlkCvPxYwDQ9fRsN90z\nkUYVPH+ed/++jC5uNWUKiUIBHK+/c7O/TX8HfQcAOP/uPE/Ik9YdRzuOHmo7dPPgzQaMr54j\nZ924QexCa1Nd8lqPRKEQe5aLwsOJ7iCEiS7iZwFUyapij9MpjXe21FIT0xPFXMscZXVSgWbs\n5ErNwIBubi5gs818fc1Gj9aR0CdRdnQ8PAY9fSrnm8pTAbtg8+PNAKBH19s+dLuiw2nTnAyd\n3sx/o0pWlUrh/qyyLGIVTm/L3hXJycTqAmOF1sRCmoj55En+kyed58xRt7Vt4SVwPOngwS+/\n/QYAff78U8ddTCHfVqrdPbYsPr72pB0G2Nwec1feX1nALvjr41/SamBvqmn6+9jf6xzERaK0\nCxcAgGFpaTRokFRu1HZYTpqUeuYM4Hjm9etdVqwgDs7tMdfbwpvY1qBJ1STq3qupqNnqif/b\ncnLcyeTi5AYqpGhSNS21LWUQPvIvlNjJFUVLa/Dz54DjqBKPjKx7uI5VzQKA7UO369J1xZ5T\nFB5eEhVlM3u2CoMh3+jaHA2qhrQulV6aTvyhn3U/5o3HxJ+NhgyR1vUR2fmwZUtVTk727dtd\nVqywmTOnuVX3RHx+7Jo1REEKqoEB3dxcNmGC3cKFWTduiPj8T0eO9Dz1VUXibx2/PRR6KKc8\nJ5OVKaO7EwqePSMKglrPmqXUZS/F0rC11e3WrSQ6OuvGDYelS2u6GRF7rZpIlazaMVtTth3t\n7e+lclCSrK6IU9T/dP+R50c2XOC37Xj45eGz1GcAMNZpLFEEoT5WXFzE7NmfDh3KDAqSb3Tt\nXG/L3ot7Ld40eJODvgPzyRMAULe1VdJ1+h2NzZw5GJks4nITd+0KmzqVnZHR9NfyKyoiZs8m\nsjp1G5s+16/LbiUfMWkHAMSkXe0hFZLK2fFnNw3aJMU1dmKlnjsHABQNDSKS9sdi0iQAqGYy\niQKEipJ961bUokW1nwgjTYcSO0SinLKc7LLsT0Wfdj+XWCGlTSEadZtrmUvqU85jsaIWLRLx\neCQVFd2eaDGHNJFJ5GU+y2Z4zOAWF5e+fw/oOazysJk1yyc4mGFtDQAlUVEvfH3TL14EXPye\nx9qq8/PDJk8mqmHrdu/uc/16y2ptNp3dwoWSVtrZ6tnO6DaDoSrDafjypCTim7WYNKm9zveb\njxljOmqU+bhxLX8u32qcrKzYdevy7t/P+vNPRcWg1FBih0jkZuLWz7ofAFz7cI1YF9/GjXQY\nGTI9JGR6iNiVubhIFL18eVVODgA4rVun7dKMhwvKrrqg4OOePay4ODncq+DZM1wkAgDFNp1E\nmkXHw6P/nTs2s2ZhJJKQw/mwefObGTOIfyySlCclvfruu/JPnwDAZMQI78BAVdlvlGlg0k4O\nUs+eBQCMTLaeMUPOt5Ybkqpq9yNHPPbvJ6kobKVW0v79Ih4PMAy9h7QMSuw6PByPXbs2fObM\n6oKC+oM7hu5gqDJwwNc+XMvhK0ELAWcjZ0mdfz4fOVL48iUAmPn6Ws8Us0u/HUv+/ffkU6fC\nZ8+uzs+X9b3ynzwBAFVd3VauoBdWFkspIqRJyDRa1w0bel26RMy6FYWFPR85MvPaNbEnF4aG\nhk6eXM1kAoDN7Nndjx5tuG+1FDUwaSdT3KKinDt3AMB42DDZrSNEWHFxOXfvAoCZr2+H+vgt\nRSix6+h4paWZ164Vvn79dv58ostybaaapkQl2+yy7EOvDykiQOkoeP78y/HjAKBha+u6a5ei\nw5E3oqY8n8WKWbmSmE6rr5hTfOzNsaTCpFbei5jmMR46tGbldbNUJ7/J3j8ieYFOyiLD5IV6\nOb+O5mZEtzIkpOn0vLz6371rNXUqYJigsjJ27dqEnTvrnMN88iRyzhxBZSVGInVdv77r+vXy\n3EZQe9KOmC+Urujc6Oepz+sfT798WcTjAYDN7NlSvylSI3H3bsBxkqpql59+UnQsygoldh2d\nqq6u1dSpAMCKjY1dt67+who/dz9PM08AuBB94X3eewWE2Gqc7Ozon37CRSIVBsPzt99UJJft\nba+MBg+2nDIFAIrevEk9I74/7LHwY4dCD829NZdojtli7rt3Oyxb5rhyZQteWxERnLVrACf+\nH1FVOQCIOCz2+7uZ23zY7++2JiSkWVQYDNft273PnlUzNgaAsg8f6pyQc+eOSCAgUandjxxR\nSJZjt3AhiUoFHOcVS3laN5OVOTVo6g83f3iX867OELElSNvVFfWhlx3m06dEP49O338v6/Wa\n7RhK7BBw3ryZqJ+eExLy5fe6dZtIGGnX8F1UFaoQF655uIYv5CsixpYTcblRAQF8FgswzG33\nbvXOnRUdkWI4//ILsTo+6cCBssTE+ie4GLkAQG557qX3reruqunkZL94saqu+FozDRCWM5nn\n5uFCQZ3juICXf2aOiMNqTVRIcxn06zfg/n33PXu6Hao7Ve+wdKn1jBm9r1wx+eYbhcRGMzXt\ne/Om97lz+r17S/fKwR+CBSIBANQvlmQze7aup6fzRvEbs5DWw4XCj3v3AgBFU9MuoD20LFcU\nlNghQFJR8Tx+nPh49OngwfzHj+ucYKNrs6TXEgD4UvRFiq1F5ePD1q3EImub2bNNR45UdDgK\nQ6bTux08SFJREfH50cuXC6uq6pwwxmkMUXH0t4jfmtVzUygSSqXKHzmZAAAgAElEQVRBeHl4\nsKha/H2FFUWV0SGtvwXSLBRNTYsJE4h5u9oY1tbOmzbJogpx02l26WLQr5+k0buf7vY52edK\n7JVmXVMoEv4Z/ycAeJp5WutY1xk1HzfOJzhY/lXlO46sGzeIGiu2CxbIYiOOSCQqKCgoKCgQ\nSViO0m6gxA4BAFDV0el56pQKg4GLRDErVtRfuTK3x1yi5uTvkb8TjbEVTiASBPwVMPzc8Oyy\nbEnn8MvLiXp1up6ejj//LMfo2iJtV1f7pUsBoDI5OXF33RI2ZIz8U5+fAIBVxTr99nTTL7v8\n3vIBpwdciL7QyvB4OQkNjHKz5b0FElFej5Mf51Xk7Xmxp1kfUZ6mPi1kFwLAZNfJMgtNmYj4\nfOaTJ3yWPCbLhRzOp8OHAYBmamoj7c1tbDY7MDBwyZIlGzZs2LBhw5IlSwIDA9lstnTv0nag\nxA75l4a9fbdDhzASScBmv/X355WU1B4lk8h7Ruwhk8h8IT84LlhRQdb2W/hvDz4/SC5OjsuX\nWMWDoqlpPWOG4YABnseOKXD3ftthO2+ebo8eAJB++TLz2bM6o0PthnqYeADAuXfniN9wjeLw\nOY++PAKABtLrJmu8cBqCNMVox9EAUMmrvBp7temvIt7ZNKga39gr5hFzW/Pp0KFIf//I+fPl\ncK/UCxeITdZdVqwgUaXQ5LAGm83eu3dvaGgon//vOiI+nx8aGrp37972mtuhxA75P6PBg7us\nXAkAnOzsqIAAEf+r5XROhk7rB653MnQaYT9CQQH+XwIzgXgo7KDvMMS2ob5Vzps2eZ05QzUw\naOCcjgMjk7sdOEDR0AAcj/35Z25R0VejgK3qtwoAOHzOsTfHmnLBt9lviWWX3pberYxN1axr\ng6OoSRHSVANsBtjr2wPA+ejzPCGvKS/Jr8h/mfYSAEY7jqZRaLKNT0mQaTQAKHn7tvW7jwVs\ndvnHj8wnTyQVRyxPTAQALScnszFjWnmvOu7cuZMvrsxTfn7+nTt3pHuvNgIldshXbOfNMx87\nFgCKIyM/Hz5cZ3SGx4w7M+70NFdwzwaekLfq/iqBSEDMI6qSVRUbj3KhmZm5bN0KANzi4uR6\ne2W8LLz6W/cHgKC4oAxW462lwjLCAIBMIntZeLUyMI2ek0hU8dX8yQxd9W5jW3l9pOPAAPP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XiMIXvr6Rc+cqOpxmK38dKGmI/eGhsJwp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\nAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot_helper()\n",
"\n",
"points(s_4_or_more, col = \"#D95F02\", pch = 19) # orange\n",
"points(s_5_or_more, col = \"#666666\", pch = 19) # gray\n",
"\n",
"# show which points are outside 95% quantile\n",
"abline(v = which(s_4_or_more < lower_95 | s_4_or_more > upper_95), col = \"#D95F02\")\n",
"abline(v = which(s_5_or_more < lower_95 | s_5_or_more > upper_95), col = \"#666666\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If you are interested in how likely it is to see a certain amount of values on only one side of the extreme then you can take half of the probability in the `p_n_k()` function. For example if you are interested in how likely it is that you retrieve 3 or more values which are smaller than the lower boundary of the 95% quantile. The likelihood to retrieve one value below the lower 95% quantile is half of the 5%. i.e. 2.5%."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"0.0129552850586593"
],
"text/latex": [
"0.0129552850586593"
],
"text/markdown": [
"0.0129552850586593"
],
"text/plain": [
"[1] 0.01295529"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sum(p_n_k(0.025, 20, 3:20))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Thus, retrieving 3 or more measurements within the 20 which are outside of the lower 95% quantile boudary is ~1.3%. In other words, this is expected to happen by chance every ~77 measurement series. In our 10.000.000 example we expect it roughly **129.500** times."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"129519"
],
"text/latex": [
"129519"
],
"text/markdown": [
"129519"
],
"text/plain": [
"[1] 129519"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"count <- 0\n",
"s_3_or_more_low <- c()\n",
"for (i in 1:10000000) {\n",
" samples <- rnorm(n = 20, mean = means, sd = sds)\n",
" if(length(which(samples < lower_95)) >= 3) {\n",
" s_3_or_more_low <- samples\n",
" count <- count + 1\n",
" }\n",
"}\n",
"count"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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VHpUTorFQAAOAnBDkAz7ufd/zzs868j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\nD/VuYPP9AAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot_helper()\n",
"\n",
"points(s_3_or_more_low, col = \"steelblue\", pch = 19)\n",
"\n",
"# show which points are outside lower bound of the 95% quantile\n",
"abline(v = which(s_3_or_more_low < lower_95), col = \"steelblue\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**To answer question 2** we can transform our measurements to p-values using the empirically estimated Gaussian parameters (i.e. `means`, `sds`)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets have another look at our distributions and locate the points of `s_4_or_more` on their respective distributions for the sake of having a visual refresher:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"range <- seq(0.03, 0.07, by = .0001)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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5OffPJJUh0AD3HhrEMAaOZKS0vrtteJ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m5Zp5fcwnY2TjZf0rPq69XodYKA++sBnS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2tpaTlnzpz3e/xPw0uktko9aHTQuo01k8kc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\nVNsKxFHk+gAAAABJRU5ErkJggg==",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot(range, dnorm(range, mean = means[1], sd = sds[1]), type = 'l', ylim = c(0, 250))\n",
"for (i in 2:20) {\n",
" lines(range, dnorm(range, mean = means[i], sd = sds[i]), type = 'l', col = i)\n",
"}\n",
"# show measurements on their Gaussians\n",
"points(s_4_or_more, dnorm(s_4_or_more, means, sds), pch = 4)\n",
"# highlight cases outside of 95% quantile\n",
"points(s_4_or_more[c(4, 5, 7, 11)],\n",
" dnorm(s_4_or_more[c(4, 5, 7, 11)], means[c(4, 5, 7, 11)], sds[c(4, 5, 7, 11)]),\n",
" pch = 8, col = 2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Lets write a quick function which will allow us to inspect individual distributions: \n",
"For the first sample we see that its well withing the 95% quantile and the p-value for a value smaller or equal to the observerd one is quite big. i.e. given the distribution it would not be uncommon to see values smaller than the one currently observed."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1] \"pvalue: 0.830046987011828\"\n",
"[1] \"x: 0.0524532886061404\"\n",
"[1] \"y: 57.8442312255292\"\n"
]
},
{
"data": {
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OogEhs6dOiNGzeOHz8udRAA9sJ0sRs/fvy6deuCg4PVavXHH388depU4/lDhw5V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\nhB0AQIg3N66tU8KtXRUAAAAASUVORK5CYII=",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot_individual_gaussian <- function(index) {\n",
" plot(range, dnorm(range, mean = means[index], sd = sds[index]), type = 'l')\n",
" abline(v = c(upper_95[index], lower_95[index], upper_99[index], lower_99[index]))\n",
" points(s_4_or_more[index], dnorm(s_4_or_more[index], means[index], sds[index]), pch = 8, col = 2)\n",
" print(paste(\"pvalue:\", pnorm(s_4_or_more[index], means[index], sds[index])))\n",
" print(paste(\"x:\", s_4_or_more[index])) # x\n",
" print(paste(\"y:\", dnorm(s_4_or_more[index], means[index], sds[index]))) # y\n",
"}\n",
"plot_individual_gaussian(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The example below is one of the outliers. This sample is even beyond the 99% quantile. Consequently, the likelihood of observing a value smaller or equal to the observed one (i.e. the p-value) is correnpondingly small. Thus, this is a rare event."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[1] \"pvalue: 0.00486573957349549\"\n",
"[1] \"x: 0.0406578722106882\"\n",
"[1] \"y: 3.89126049717438\"\n"
]
},
{
"data": {
"image/png": 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TuIEBUVNW/evNzcXB8fH7GzAJAak6Y7\nMSguLi4tLVWpVIZbZQYDBgywQKqWaTSalJSU1NTUw4cP5+bmVlRUCIKgUCh8fHzGjRtntYoJ\nwB4ZJrkcPny42EEEb29vLy+v77//nmIHwOxMKnbJyclz5szJzMwUBOGHH36IjIwUBCEuLm75\n8uWff/75mDFjLJvx10JCQuhwANrqn//857hx40Sc6ORu48eP//777+fNmyd2EABSY3zwRE5O\nTmRkZEFBQbNFeCZNmlRUVLRz506LZQMAs/nhhx+eeOIJsVP8y7hx444cOVJbWyt2EABSY/yO\n3fLly+vq6k6fPt27d++9e/c27Xd3dw8PD09MTLRkvBbo9fq8vLy8vLyKigq9Xq9UKgcPHjx4\n8GDDiF0AuNf58+cLCwttp9hFRETcuXMnJSVl9OjRYmcBICnGi92hQ4diYmL8/f3LysqaHfL1\n9U1KSrJMsBZUV1d/+umna9euvXjxYrNDffv2nTNnzoIFCzp37my1PADsxQ8//NC3b9/BgweL\nHeRflEplSEjIoUOHKHYAzMt4sbt+/bqnp2eLh5ycnCorK82c6D6qqqoiIiJSUlLkcnlwcLC3\nt7dCoZDJZOXl5Xl5eZmZmYsXL05ISDC8H22dSADsxaFDh8Sdl/heERER//znP5csWSJ2EACS\nYrzYdevW7dq1ay0eSktLs9pUnytWrEhJSZkxY8aqVavuXS724sWLixYt2r59+4oVK5YvX26d\nSADsgl6vP3LkyOrVq8UO8isRERGffPLJrVu3unbtKnYWANJhvNiFhYUlJCTU1NQ023/48OEf\nfvjh5Zdftkyw5uLi4kJDQ7du3dricrEeHh5ff/11bm7ujh072lrsMjIyWl/0Njc3t21ZAdiS\nzMzMsrKysWPHih3kVx577DFnZ+fExMSJEyeKnQWAdBgvdgsXLnz88cdjYmLeffddQRCqq6tP\nnToVFxe3Zs0aZ2fnt99+2/IhBUEQSkpKoqOjW2x1BnK5fPTo0WvXrm3TZfPz80NDQxsaGoye\nWV9f37FjxzZdHIAtOHz4sI+Pj4eHh9hBfqVTp04jRow4cuQIxQ6AGZl0x+7zzz9/8803Dx48\nKAhCdHS0YX+HDh2+/PLLgIAAywb8PwqForCwsPVzCgoKlEplmy7r5eXV+u06QRDWrVs3d+7c\nxsbGNl0ZgI348ccfw8PDxU7RgrFjxx44cEDsFAAkxfg8doIgzJ07Nz09/Y033ggNDfX09AwM\nDJwzZ05aWprVnsMKghAZGblv376tW7fe74TNmzfv378/IiLCapEA2L6GhoZjx47ZbLE7c+aM\nYREdADALU5cUU6vVa9assWiU1i1btuzAgQOvvPLK6tWro6KifHx8DCubVVRU5ObmHjx4MD09\nXalULl26VMSQAGxNWlpaRUWFrb1gZzBixIiOHTsmJiY+9dRTYmcBIBFtWCtWXF5eXomJiTNn\nzjx58mRaWtq9JwwbNmzjxo1eXl7WzwbAZh05ckSlUvXs2VPsIC1wcXExvGZHsQNgLnZT7ARB\n0Gg0KSkpqamphw8fzs3NNTy/UCgUPj4+48aNYwFZAPc6duyYLU8CPHbs2P3794udAoB0tFzs\n7jcjcYuKiorMEsVEISEhdDgAptDr9YmJieK+RtK60aNHL1u2rLKyskuXLmJnASAFLRe727dv\n3/2xoaGhvLzcsO3m5lZVVWXYViqVTk5OFs0HAO2m1WqvX7/+2GOPiR3kvkaMGCGXy5OSkmxt\nYQwAdqrlUbFldykqKtJoNCEhIQkJCZWVlbdv366srExISAgODtZoNFa+XQcApjt69KiXl1e/\nfv3EDnJfnTt3Dg0NPXbsmNhBAEiE8elOFi9eXFpaeuzYsYkTJ7q7uwuC4O7uPnHixMTExNLS\n0sWLF1s+pKkWLlzYpofIAKTt2LFjjz/+uNgpjHj88ccpdgDMxXix27lz59SpU11dXZvtd3V1\nnTp16q5duywTrD3KysqKi4vFTgHAVhw7dsyWn8MajB49OiUl5d5lGwGgHYwXu2vXrun1+hYP\n6fX6a9eumTsSAJhBfn5+aWmp7Re7xx57rK6u7vTp02IHASAFxqc78fT03L1790cffeTm5nb3\n/qqqql27dg0cONBi2X7lhRdeMHpOSkqKFZIAsAsnTpzo2bOnt7e32EGMUCgUGo3m2LFjYWFh\nYmcBYPeMF7u5c+e+/fbbYWFhS5Ysefzxx7t3737jxo2jR48uWbKkuLj4T3/6kxVSCoKwY8cO\n63wRAGlITEwMCwuTyWRiBzEuLCzsxIkTYqcAIAXGi938+fNzcnI2bNgQExMjCIKzs3N9fb3h\n0OzZs+fNm2fZgP/Hzc3Nw8Pj008/beWc1atXHzp0yDp5ANi4xMTE3/72t2KnMMmoUaPmz5+v\n1+vtooYCsGXGi51cLl+/fv20adO2bNliWHVRoVAEBwfHxsZac/nFgIAAnU731FNPtfLDZ1Mj\nOQCI6ObNm2fPnrWXh5thYWHXr1/Pzc319fUVOwsA+2bqkmLh4eHh4eEWjdK6kJCQpKSkgoIC\nVoMFYNTx48ddXFzsZZUaT09PDw+PEydOUOwAPCDjo2JtxLhx40JDQ0tKSlo5Jzo6+v3337da\nJAA2KykpaciQIR07dhQ7iKlGjhx5/PhxsVMAsHum3rET3dSpU6dOnfrg5wBwBCdOnBg1apTY\nKdpg1KhR69evFzsFALtn0h27I0eOREdH9+rVy8XFxfkelo4IAG3S0NBw+vTpESNGiB2kDcLC\nwnJzc2/cuCF2EAD2zXgt279//+TJkxsbGxUKhbe3N00OgI3LzMy8ffu2fRW74ODgTp06paSk\nTJgwQewsAOyY8Za2ZMkSmUy2bdu2adOmMRQfgO1LSkp69NFHe/XqJXaQNujQoUNISEhycjLF\nDsCDMF7stFptTEzM9OnTrZAGAB5cUlLSyJEjxU7RZiNGjEhKShI7BQD7ZvwdOzc3t549e1oh\nCgCYhf0Wu5SUlMbGRrGDALBjxotdZGQka7ACsBdlZWUFBQX29YKdwciRI2/dupWTkyN2EAB2\nzHixW7VqVUlJyUcffdTQ0GCFQADwIFJSUjp16hQQECB2kDbz8PDo168fT2MBPAjj79h9+OGH\narV6yZIlmzZtCgoKUiqVzU7YvHmzRaIBQNudPHkyJCSkQ4cOYgdpD8PT2Ndee03sIADslfFi\nt2XLFsNGcXFxcXHxvSdQ7ADYjuTkZHt8DmswfPjwpp9cAGgH48UuLS3NCjkA4MHp9fpTp07Z\n7x2vYcOGvfPOO5WVlV26dBE7CwC7ZLzYBQUFWSEHADy43NzcmzdvDh8+XOwg7RQaGiqXy1NT\nU8eMGSN2FgB2yaQlxQDALqSkpPTq1at///5iB2knV1dXjUbDRAQA2o1iB0A6Tp48OWzYMLFT\nPJBhw4adPHlS7BQA7FXLj2KnTJkiCMLKlSv9/PwM263Ys2eP+XMBQNulpKTExMSIneKBDBs2\n7KOPPhI7BQB71XKx27t3ryAICxcubNoGABtXU1Oj1WpXrFghdpAHMnz48AsXLpSWlvbp00fs\nLADsT8vF7sKFC4IgGFYSM2wDgI3LyMiora0NDQ0VO8gD8fPzc3d3P3Xq1OTJk8XOAsD+tFzs\n+vbt2+I2ANiskydPenl5PfTQQ2IHeSBOTk7BwcEUOwDtw+AJABJx6tSpoUOHip3CDIYOHXr6\n9GmxUwCwSxQ7ABIhmWI3ZMiQU6dO6fV6sYMAsD8tF7tBgwbFx8ebeImysrJBgwYdO3bMfKkA\noG0qKytzc3MlU+xu3LhRWFgodhAA9qflYpefn3/r1i0TL1FfX5+fn19VVWW+VADQNqmpqTKZ\nLDg4WOwgZjBo0KBu3brxNBZAO9x3SbH4+Pjz58+bcgkqHQDRnTp1SqVSubm5iR3EDGQyWWho\n6OnTp5977jmxswCwM/ctdvv27du3b581owBAu6WmpoaEhIidwmyGDBmSnJwsdgoA9qflYnfw\n4MG2XmjIkCEPHAYA2unMmTNvvPGG2CnMZsiQIV988UVjY6NczhA3AG3QcrGLioqycg4AaLeK\niopz585JY+SEQWho6K1bt86fPz948GCxswCwJ+35W/DChQtbtmzZuXNndXW12QMBQFudOXNG\nLpcHBASIHcRsPD09e/TocebMGbGDALAzxovdqlWrfHx8bt68afh47NgxlUoVGxv73HPPDR8+\n3PTBswBgIWfOnFGr1a6urmIHMafg4GCKHYC2Ml7s4uPj+/Tp061bN8PHRYsW1dbWvvfee6+9\n9lpWVtYXX3xh4YQAYMSZM2ek95pvaGgoxQ5AWxkvdgUFBRqNxrB96dKllJSUWbNmrVixYsOG\nDeHh4XFxcRZOCABGSGxIrEFoaGhqampjY6PYQQDYE+PFrry8vHv37obt48ePC4IQHR1t+Dh0\n6NCff/7ZcuEAwCjDIIPQ0FCxg5hZ0/gJsYMAsCfGi1337t2vXLli2P7pp5/kcvmIESMMHxsa\nGmpqaiyYDgCMSUtLk9jICQNPT8+HHnqIp7EA2sR4sdNoNHv37i0tLb169eqOHTtGjhzZtWtX\nw6HCwsJevXpZOCEAtCY1NdXX11diIycMQkJCUlNTxU4BwJ4YL3bz58+/fPly//79+/XrV1ZW\n1jQFqF6vT05ODgwMtHBCAGiNJEdOGISEhKSlpYmdAoA9MV7snn766U2bNg0fPnzIkCF/+ctf\nXnjhBcP+o0eP1tTUPPnkkxZOCACtSU1NDQ4OFjuFRQQHB6empur1erGDALAb910r9m6xsbGx\nsbHNdo4ZM6asrMz8iQDAZFVVVXl5edIbEmsQEhJy8+bN4uJiT09PsbMAsA+sQgjAjqWnp+v1\n+qCgILGDWMSgQYMUCgWv2QEwHcUOgB1LS0sbNGhQly5dxA5iETKZLDAwkNfsAJiu5Uexbbrt\nX1RUZJYoANBWkpya+G4MjAXQJi0Xu9u3b9/9saGhoby83LDt5uZWVVVl2FYqlU5OThbNBwCt\nSEtLmzZtmtgpLCg4OHj79u1ipwBgN1p+FFt2l6KiIo1GExISkpCQUFlZefv27crKyoSEhODg\nYI1Gw+06AGKpra3NycmR6gt2BsHBwVeuXLl8+bLYQQDYB+Pv2C1evLi0tPTYsWMTJ050d3cX\nBMHd3X3ixImJiYmlpaWLFy+2fEgAaEF2dnZNTY1U5zox8PPz69SpE6/ZATCR8WK3c+fOqVOn\n3juru6ur69SpU3ft2mWZYABgRFpaWt++fXv06CF2EAtydnbWaDTp6eliBwFgH4wXu2vXrt1v\neky9Xn/t2jVzRwIAk6SlpUn7dp1BcHAwd+wAmMh4sfP09Ny9e3fTgIkmVVVVu3btGjhwoGWC\nAYARDlLsgoKCuGMHwETGi93cuXOLiorCwsL27Nlz48YNQRBu3LixZ8+esLCw4uLiOXPmWD4k\nADSn1+szMzMdYbnqoKCg/Pz8yspKsYMAsAPGlxSbP39+Tk7Ohg0bYmJiBEFwdnaur683HJo9\ne/a8efMsGxAAWlJQUHDr1i1HuGNnKK8ZGRmPPfaY2FkA2DrjxU4ul69fv37atGlbtmxJS0ur\nqKhQKBTBwcGxsbFjx461fEIAaEFaWppSqXSERVTd3Ny8vb3T09MpdgCMMl7sDMLDw8PDwy0a\nBQBMl5GRERAQIJPJxA5iDYyfAGCi9qwVe+HChS1btuzcubO6utrsgQDAFOnp6Y7wHNYgMDAw\nIyND7BQA7IDxYrdq1SofH5+bN28aPh47dkylUsXGxj733HPDhw+/deuWhRMCQAvS09MdYeSE\nQVBQkFarraurEzsIAFtnvNjFx8f36dOnW7duho+LFi2qra197733XnvttaysrC+++MLCCQGg\nuevXr5eUlEh7MbG7BQYG1tTU5Obmih0EgK0zXuwKCgo0Go1h+9KlSykpKbNmzVqxYsWGDRvC\nw8Pj4uIsnBAAmktLS+vQoYNKpRI7iJX07t37kUce4WksAKOMF7vy8vLu3bsbto8fPy4IQnR0\ntOHj0KFDf/75Z8uFA4AWZWRkqFQqFxcXsYNYD6/ZATCF8WLXvXv3K1euGLZ/+uknuVw+YsQI\nw8eGhoaamhoLpgOAlhiGxIqdwqoCAwNZfwKAUcaLnUaj2bt3b2lp6dWrV3fs2LmcRqoAACAA\nSURBVDFy5MiuXbsaDhUWFvbq1cvCCQGgufT0dMd5wc6AhcUAmMJ4sZs/f/7ly5f79+/fr1+/\nsrKyN954w7Bfr9cnJyc7zqg0ADaitrY2NzfX0X58AgMDr127dunSJbGDALBpxovd008/vWnT\npuHDhw8ZMuQvf/nLCy+8YNh/9OjRmpqaJ5980sIJAeBXcnJyamtrHe1RrI+PT6dOnbhpB6B1\nJq08ERsbGxsb22znmDFjysrKzJ8IAFqVnp7ep0+fHj16iB3EqpydndVqdWZm5oQJE8TOAsB2\ntWflCQAQUWZmpqM9hzUICAjIzMwUOwUAm0axA2BnMjIyHLbYMeMJgNZR7ADYmaysLMcsdoGB\ngbm5uXfu3BE7CADbRbEDYE8MUy85bLGrr6/PyckROwgA20WxA2BPMjMzO3Xq5O3tLXYQEXTv\n3t3Dw4OnsQBaQbEDYE8yMjLUarWzs0kj+qUnMDCQ8RMAWkGxA2BPtFqtv7+/2ClEw8BYAK2j\n2AGwJ5mZmRQ7sVMAsF2mFruNGze++OKLhu3169c3bQOA1dTW1p49e9YxR04YBAQEsLAYgFaY\nWuySkpK2bdtm2D5x4kTTNgBYjWExMUe+Y2dYWIybdgDuh0exAOxGZmZm7969e/bsKXYQ0Tg7\nO/v5+VHsANwPxQ6A3cjKygoICBA7hcj8/f2zsrLETgHARlHsANiNzMxMih3FDkArKHYA7EZW\nVpZarRY7hcgCAgJycnLq6urEDgLAFlHsANiHsrKy0tJS7tgFBATU1NTk5uaKHQSALaLYAbAP\nWVlZTk5Ofn5+YgcRWa9evXr27Mn4CQAtsr9lefR6fV5eXl5eXkVFhV6vVyqVgwcPHjx4sEwm\nEzsaAAvKysoaPHhwp06dxA4iPo1Gw2t2AFpkT8Wuurr6008/Xbt27cWLF5sd6tu375w5cxYs\nWNC5c2dRsgGwNEZONPH39+eOHYAW2U2xq6qqioiISElJkcvlwcHB3t7eCoVCJpOVl5fn5eVl\nZmYuXrw4ISHh0KFDrq6uYocFYH6ZmZmTJ08WO4VN8Pf3j4+PFzsFAFtkN8VuxYoVKSkpM2bM\nWLVqVZ8+fZodvXjx4qJFi7Zv375ixYrly5eLkhCA5TQ2NmZnZ3/wwQdiB7EJ/v7+Fy5cKC8v\nVyqVYmcBYFtMHTzx8MMPDxgw4N5tq4mLiwsNDd26deu9rU4QBA8Pj6+//jokJGTHjh1WDgbA\nCvLz86uqqhx5MbG7qdVquVyu1WrFDgLA5pha7D7++OOioiLD9ieffNK0bTUlJSWjR4+Wy+8b\nWC6Xjx49+sKFC9ZMBcA6srKyunTp4unpKXYQm+Dm5jZw4EDGTwC4l91Md6JQKAoLC1s/p6Cg\ngAcTgCRptVqNRsPg9yYBAQHcsQNwL7spdpGRkfv27du6dev9Tti8efP+/fsjIiKsmQqAdWRl\nZfEc9m4ajYaBsQDuZTeDJ5YtW3bgwIFXXnll9erVUVFRPj4+CoVCEISKiorc3NyDBw+mp6cr\nlcqlS5eKnRSA+Wm12tdff13sFDbE399/zZo1YqcAYHPspth5eXklJibOnDnz5MmTaWlp954w\nbNiwjRs3enl5WT8bAIu6c+fO+fPnuWN3N39///Ly8gsXLvTr10/sLABsiN0UO0EQNBpNSkpK\namrq4cOHc3NzKyoqBEFQKBQ+Pj7jxo0LCQkROyAAi8jJyamvr9doNGIHsSGDBg3q1KmTVqul\n2AG4mz0VO4OQkBAzdrjCwsJhw4Y1NDS0ck5NTY25vg5AO2RlZfXq1atHjx5iB7Ehzs7Ovr6+\nWq12woQJYmcBYEPsr9iZ14ABA3bu3FlfX9/KOfv37//zn/9stUgAmtFqtTyHvZe/vz8zngBo\nxu6LXXFxcXp6uouLy8iRIw3DKdpELpePHTu29XPy8/PbGQ6AOTAktkUajSYuLk7sFABsi91M\ndyIIwpYtW/r37+/q6hoTE1NWViYIwn/91395eXlNmTJlwoQJffr0Wbt2rdgZAZifYRI7sVPY\nHI1Gk52d3foDBwCOpuU7dm2a3t06q1AkJSW9+uqrer3e2dl5z549dXV106ZNW7VqVb9+/UaM\nGHHlypVjx469/vrrPj4+4eHhVsgDwDrKy8tLSkoodvfy9/evqak5d+6cn5+f2FkA2IqWi93t\n27fv/tjQ0FBeXm7YdnNzq6qqMmwrlUonJyeL5mvyxz/+US6Xf/fdd0899dSBAwdiYmLOnTsX\nFRUVHx/fuXNnQRD27NkTExOzevVqih0gJVlZWXK5XKVSiR3E5vTr10+pVOp0OoodgCYtP4ot\nu0tRUZFGowkJCUlISKisrLx9+3ZlZWVCQkJwcLBGo7HaorGnT5+Oiop6+umn5XL5pEmTxo8f\nn5eXt3LlSkOrEwRhypQpERERKSkp1skDwDq0Wu3AgQPd3NzEDmKLNBoN4ycA3M34O3aLFy8u\nLS09duzYxIkT3d3dBUFwd3efOHFiYmJiaWnp4sWLLR9SEATh0qVL3t7eTR8HDRokCIKPj8/d\n56hUquvXr1snDwDr0Ol0PIe9H39/f1aMBXA348Vu586dU6dOdXV1bbbf1dV16tSpu3btskyw\n5h566KG7S5th++rVq3efc/Xq1XtzArBrzHXSCpVKRbEDcDfjxe7atWt6vb7FQ3q9/tq1a+aO\n1DIfH599+/ZdvnxZEITLly/v37+/a9eu69atazqhpKRk//79vGsCSIxWq1Wr1WKnsFH+/v75\n+fnV1dViBwFgK4wXO09Pz927dzcNmGhSVVW1a9eugQMHWiZYc6+//np5eXlAQMBTTz0VEBBQ\nXl6+du3ajz/+eMaMGRs2bPj9738/dOjQqqqq6dOnWycPACsoLS29fv06d+zux9/fv6GhIScn\nR+wgAGyF8WI3d+7coqKisLCwPXv23LhxQxCEGzdu7NmzJywsrLi4eM6cOZYPKQiC8Oyzz86d\nO/fatWsHDhy4efPmypUrp02b9sEHH3zzzTezZ8/+4IMPLl++HBkZ+frrr1snDwAr0Gq1HTp0\nuPv9Wtyte/fuvXv35mksgCbGV56YP39+Tk7Ohg0bYmJiBEFwdnZumg9z9uzZ8+bNs2zA/yOT\nyf76178uWrSosLDQ19fXw8NDEISlS5eGhYUdOHCgtrb28ccff+6556w2/QoAK9Bqtb6+vh07\ndhQ7iO3SaDQ6nU7sFABshfFiJ5fL169fP23atC1btqSlpVVUVCgUiuDg4NjYWKOLcZndo48+\n+uijj969Z/z48ePHj7dyDADWodPpeMGudcx4AuBupq4VGx4ezsS/AKxMq9VGR0eLncKmqdXq\n3bt3i50CgK1oz1qxFy5c2LJly86dOxmKBcBy9Hp9Tk4Ok9i1TqPRXLhwoWlxIAAOznixW7Vq\nlY+Pz82bNw0fjx07plKpYmNjn3vuueHDh9+6dcvCCQE4qKKiosrKSh7Fts7wn092drbYQQDY\nBOPFLj4+vk+fPt26dTN8XLRoUW1t7Xvvvffaa69lZWV98cUXFk4IwEFptVpXV9dmr9WiGXd3\n9wEDBjAwFoCB8WJXUFDQ9Cjk0qVLKSkps2bNWrFixYYNG8LDw+Pi4iycEICD0mq1KpVKLm/P\nGyMOhYGxAJoY/8UsLy/v3r27Yfv48eOCIDS9yzx06NCff/7ZcuEAODJWiTURxQ5AE+PFrnv3\n7leuXDFs//TTT3K5fMSIEYaPDQ0NNTU1FkwHwIGxmJiJ1Go1j2IBGBgvdhqNZu/evaWlpVev\nXt2xY8fIkSO7du1qOFRYWNirVy8LJwTgiOrr68+ePcsdO1Oo1eorV65YbeVuALbMeLGbP3/+\n5cuX+/fv369fv7KysjfeeMOwX6/XJycnBwYGWjghAEd0/vz5mpoa7tiZws/Pz8nJiaexAART\nit3TTz+9adOm4cOHDxky5C9/+csLL7xg2H/06NGamponn3zSwgkBOCKdTqdQKPr27St2EDvQ\nqVMnLy8vih0AwcSVJ2JjY2NjY5vtHDNmTFlZmfkTAcD/vWAnk8nEDmIf1Go1xQ6A0L6VJwDA\n0rKzs3kOazqNRsP4CQACxQ6AbWJIbJtwxw6AAcUOgM2pq6s7d+4cxc50arX6xo0bly5dEjsI\nAJFR7ADYnNzc3Lq6OuY6MZ2Pj0/Hjh25aQeAYgfA5mi12m7dujFNpuk6dOgwaNAgih0Aih0A\nm6PT6fz9/cVOYWdYWAyAQLEDYIN0Oh0v2LUVC4sBEB6k2B04cGDdunWFhYVmTAMAAsWuXQwD\nY/V6vdhBAIip/cXus88+mzt3ro+Pz3/+538yFAuAudy5cyc/P59i11ZqtfrWrVslJSViBwEg\npvYXu7Fjxz7//PMajWbt2rWDBg0yYyYAjuzs2bMNDQ0Uu7YaNGiQi4sLr9kBDs6kJcVa9O67\n7xo2bty48eOPP5opDwBHp9Ppevbs2aNHD7GD2BlnZ2dfX1+tVhsVFSV2FgCiMcPgie7duz/z\nzDMPfh0AEHjB7gGoVKrs7GyxUwAQE6NiAdgWil27sbAYgJYfxZaVlbX1QgqFokOHDg+cB4Cj\n0+l0EyZMEDuFXVKr1R9//LFer5fJZGJnASCOlotdO95uOXjwIC92AHhAv/zyS2FhIXfs2ket\nVt++ffvnn38eMGCA2FkAiOO+gyc0Go2Hh4cpl6itrWXwBACzyMnJaWxspNi1z6OPPtq5c2ed\nTkexAxzWfYvdggULYmNjTbnE5cuXe/fubbZEABxYdnZ27969u3fvLnYQu+Tk5OTr66vT6SZO\nnCh2FgDiYPAEABui1Wq5XfcgVCoV4ycAR9byHbubN2+6urqaeIlHHnnk5s2b7u7u5ksFwEFl\nZ2dT7B6EWq2Oj48XOwUA0bR8x06pVHbs2NHES8hkMqVS6ezc/rmOAcAgOztbpVKJncKOaTQa\nw3uKYgcBII4HfRRbV1dnlhwA8MsvvxQVFXHH7kGoVKqqqqri4mKxgwAQh/FiN3PmzF9++aXF\nQwUFBaNGjTJ3JAAOKjs7u7Gx0c/PT+wgdmzgwIFubm68Zgc4LOPF7quvvho6dOi9PxPffvtt\ncHDw6dOnLRMMgMPR6XR9+vRhSOyDkMvlPj4+FDvAYRkvdh988MHZs2eHDh365ZdfGvZUV1fP\nnTv3+eefd3Z23rNnj4UTAnAULCZmFiwsBjgy48Vu2bJl//jHPxQKxaxZs6ZPn37y5Mnhw4ev\nW7fuscceS09Pnzx5shVSAnAEFDuzUKvV2dnZYqcAIA6TBk9ERESkp6c/8cQT27dvHz58uE6n\ne//993/66ad+/fpZOh8Ax8FcJ2ahVqsZGAs4LFNHxbq6ujYtIKtQKMaMGePk5GSxVAAczu3b\nt4uLi5nr5MGp1WrDkrtiBwEgApOKXWpqamho6DfffDN+/Pi1a9fW1dWNHz/+3Xffra+vt3Q+\nAA4iJydHr9dT7B7cgAED3NzceBoLOCbjxe6zzz4bNWpUYWHhypUrDx48OGfOnNTU1KCgoD/8\n4Q+jR48uKiqyfEgA0qfT6Tw8PJRKpdhB7J5cLjesGCt2EAAiMF7s5s+f/8gjjxw5cuTdd9+V\nyWSCIHh7eyclJb3xxhvJyclBQUGWDwlA+njBzow0Gg3FDnBMxovd5MmT09PTm01E7OLismbN\nmvj4eLn8QdeuAABBELRaLcXOXFQqFcUOcEzGa9mePXu6devW4qGYmJi0tDRzRwLgiLhjZ0aG\ngbENDQ1iBwFgbW2431ZcXJyUlFRRUXH3zgEDBpg7EgCHc/v27Z9//pliZy5qtfrOnTsMjAUc\nkEnFLjk5OTAw0NPTc9SoUadOnTLsjIuL02g0R44csWQ8AA4hOztbr9ezSqy5DBgwwN3dnYGx\ngAMyXuxycnIiIyMLCgqaLTIxadKkoqKinTt3WiwbAEeh0+n69u2rUCjEDiIRMpmMgbGAY3I2\nesby5cvr6upOnz7du3fvvXv3Nu13d3cPDw9PTEy0ZDwADoEX7MyOgbGAYzJ+x+7QoUMxMTH+\n/v73HvL19S0pKbFAKgCORafTMTWxeTEwFnBMxovd9evXPT09Wzzk5ORUWVlp5kQAHI9Op9No\nNGKnkBS1Wn327FkGxgKOxnix69at27Vr11o8lJaW1rt3b3NHAuBYKisrL1y4wB078zIMjC0o\nKBA7CACrMl7swsLCEhISampqmu0/fPjwDz/8MHbsWIvkAuAwDIM3KXbm1b9/f3d3d57GAo7G\neLFbuHDhtWvXYmJiDD++1dXVp06dWrBgQVRUlLOz89tvv235kACkzDAktmvXrmIHkRSZTObn\n58eMJ4CjMT4qNiws7PPPP3/zzTcPHjwoCEJ0dLRhf4cOHb788suAgADLBgQgdQyJtRC1Wk2x\nAxyN8WInCMLcuXNHjx69du3apKSk69evKxSKESNGvPnmm/wWA3hwOp2OHxNLUKlU33zzjdgp\nAFiVScVOEAS1Wr1mzRqLRgHgmHQ63W9+8xuxU0hQ08BYJycnsbMAsJI2rBULAGZXWVlZUlLC\nHTtLUKlUrBgLOBqKHQAxGV4CY5VYSzCsGKvVasUOAsB6Wn4Ue78ZiVtUVFRkligAHJBOp+vX\nrx9DYi2haWDslClTxM4CwEpaLna3b9+++2NDQ0N5eblh283NraqqyrCtVCp5dQPAg2AxMYti\nYCzgaFp+FFt2l6KiIo1GExISkpCQUFlZefv27crKyoSEhODgYI1Gw+06AA8iOzubYmc5arWa\nOYoBh2L8HbvFixeXlpYeO3Zs4sSJ7u7ugiC4u7tPnDgxMTGxtLR08eLFlg8JQLKY68SiVCoV\nK8YCDsV4sdu5c+fUqVNdXV2b7Xd1dZ06dequXbssEwyA9N26dYshsRbFirGAozFe7K5du6bX\n61s8pNfrr127Zu5IAByF4fUvX19fsYNIVv/+/bt06cJrdoDjMF7sPD09d+/e3TRgoklVVdWu\nXbsGDhxomWAApC87O7tfv34KhULsIJIlk8l8fX15zQ5wHMaL3dy5c4uKisLCwvbs2XPjxg1B\nEG7cuLFnz56wsLDi4uI5c+ZYPiQAaWJIrBUwfgJwKMaXFJs/f35OTs6GDRtiYmIEQXB2dq6v\nrzccmj179rx58ywbEIB0ZWdn84KdpanV6m3btomdAoCVGC92crl8/fr106ZN27JlS1paWkVF\nhUKhCA4Ojo2NHTt2rOUTApCs7OxsVom1NFaMBRyK8WJnEB4eHh4ebtEoABzKrVu3Lly4wB07\nSzOsGFtQUODt7S12FgAWx1qxAMTBKrHWYRgYy2t2gIOg2AEQh2FILKvEWppMJlOpVBQ7wEGY\nVOyOHDkSHR3dq1cvFxcX53tYOiIASdJqtTyHtQ6VSsVUdoCDMF7L9u/fP3ny5MbGRoVC4e3t\nTZMDYBbZ2dn+/v5ip3AIKpXq66+/FjsFAGsw3tKWLFkik8m2bds2bdo0mUxmhUwAHIFOp3v+\n+efFTuEQDANj6+vr+csckDzjj2K1Wm1MTMz06dNpdQDM5datWxcvXuRRrHWo1eqamhpWjAUc\ngfFi5+bm1rNnTytEAeA4DO/yMyTWOgzrtjF+AnAExotdZGRkSkqKFaIAcBzZ2dmGaTjEDuIQ\nZDKZn58fxQ5wBMaL3apVq0pKSj766KOGhgYrBALgCBgSa2UMjAUchPEXaT/88EO1Wr1kyZJN\nmzYFBQUplcpmJ2zevNki0QBIV3Z2dmBgoNgpHIhKpdq6davYKQBYnPFit2XLFsNGcXFxcXHx\nvSdQ7AC0lU6nmzZtmtgpHIharc7NzWVgLCB5xv8XnpaWZoUcptPr9Xl5eXl5eRUVFXq9XqlU\nDh48ePDgwQzaBexFRUVFaWmpRqMRO4gDMQyMzc/P9/HxETsLAAsyXuyCgoKskMMU1dXVn376\n6dq1ay9evNjsUN++fefMmbNgwYLOnTuLkg2A6Qxv8fv6+oodxIH07dvXMDCWYgdIm93ck6+q\nqoqIiEhJSZHL5cHBwd7e3gqFQiaTlZeX5+XlZWZmLl68OCEh4dChQ66urmKHBdAanU43YMAA\nd3d3sYM4kKaBsVOnThU7CwALsptit2LFipSUlBkzZqxatapPnz7Njl68eHHRokXbt29fsWLF\n8uXLRUkIwEQ6nY4hsdanVquZ8QSQvJaL3ZQpUwRBWLlypZ+fn2G7FXv27DF/rnvExcWFhoZu\n3bpVLm9hihYPD4+vv/46Nzd3x44dFDvAxul0upCQELFTOBy1Wv3VV1+JnQKAZbVc7Pbu3SsI\nwsKFC5u2RVdSUhIdHd1iqzOQy+WjR49eu3atNVMBaAedTvfSSy+JncLhGAbG1tXVdejQQews\nACyl5WJ34cIFQRAMK4kZtkWnUCgKCwtbP6egoODeafYA2JSbN29eunRJpVKJHcThqNXqurq6\nc+fO8R8+IGEtF7u+ffu2uC2iyMjIHTt2bN269eWXX27xhM2bN+/fv5+ZsQAbp9Pp5HI5q8Ra\nn4eHR7du3bKzsyl2gITZzeCJZcuWHThw4JVXXlm9enVUVJSPj49CoRAEoaKiIjc39+DBg+np\n6UqlcunSpWInBdAanU7n6enp5uYmdhBHZBgY++yzz4odBICl2E2x8/LySkxMnDlz5smTJ1uc\nM3nYsGEbN2708vKyfjYApmNIrIg0Go1WqxU7BQALarnYDRo0aNWqVSZOd1RWVjZixIhNmzaN\nHj3arNma02g0KSkpqamphw8fzs3NraioEARBoVD4+PiMGzeOQXaAXdDpdMOGDRM7hYNSqVTr\n168XOwUAC2q52OXn59+6dcvES9TX1+fn51dVVZkvVWtCQkLM2OGuXr06c+bMO3futHKOYaEL\nvV5vri8FHJlWq3311VfFTuGg1Gp1Xl5eTU2Ni4uL2FkAWMR9H8XGx8efP3/elEtYrdJZgqur\na3BwcG1tbSvnODk55eTksBYt8ODKysquXr3KKrFi0Wg09fX1586d478CQKruW+z27du3b98+\na0Zph9OnT58+ffrOnTsDBw6MjIxsx+vY7u7uRsdbrFu37vvvv29vRgD/ptPpnJycWK5ULL16\n9Xr44Yd1Oh3FDpCqlovdwYMH23qhIUOGPHCY1vz444+HDh16++23u3fvLgjClStXnn/++SNH\njjSd8PDDD2/atGnSpEkWjQHgQeh0ukcffbRz585iB3FchoGxYqcAYCktF7uoqCgr5zDq008/\nPXnypOHuml6vnzJlSnJysoeHxxNPPKFQKLKysg4fPvzMM88kJSUxigKwWQyJFR0DYwFpa890\nJxcuXDh8+LCrq+ukSZOs9pd3ampqYGCgYUmxQ4cOJScnR0VF7d6929XV1XDC3r17Y2Jifv/7\n3+/evds6kQC0lU6ns/TwebROrVYfOnRI7BQALOW+S682WbVqlY+Pz82bNw0fjx07plKpYmNj\nn3vuueHDh5s+ePYBlZWVGR7CCoKQkpIiCMInn3zS1OoEQZg8efKECROOHj1qnTwA2oE7dqJT\nq9X5+fnV1dViBwFgEcaLXXx8fJ8+fbp162b4uGjRotra2vfee++1117Lysr64osvLJzwX5RK\n5ZUrVwzbhp+kAQMGNDtn4MCBViuaANrqypUrZWVlFDtxqdXqhoaG3NxcsYMAsAjjxa6goKBp\n/NSlS5dSUlJmzZq1YsWKDRs2hIeHx8XFWTjhv4wcOTI5Obm0tFQQBMP/MaSmpjY758yZM336\n9LFOHgBtpdVqnZ2dBw8eLHYQh9ajR4+ePXsyfgKQKuPFrry8vOkZ6PHjxwVBiI6ONnwcOnTo\nzz//bLlwd5s3b15NTc2zzz575cqVKVOmDBo0aO7cuU1/dNbV1S1evDg5ObkpGwBbo9Vqvb29\nmRpXdGq1mmIHSJXxwRPdu3dvegb6008/yeXyESNGGD42NDTU1NRYMN1dIiIi/uu//usPf/iD\nl5fXlClTJkyY8MUXX2g0Gj8/P4VCcfbs2bKyMk9Pz8WLF1snD4C2Yvo0G6HRaCh2gFQZv2On\n0Wj27t1bWlp69erVHTt2jBw5smvXroZDhYWFvXr1snDCf/v444+/+uqrLl26bNu2bc2aNQ0N\nDfX19VlZWYmJidevX586derx48cffvhhq+UB0CaMnLARarWaGU8AqTJ+x27+/PnR0dH9+/d3\ncnKqra1ds2aNYb9er09OTh4+fLiFE/7Kq6++OmPGjMOHD586derKlSt6vV6pVPr4+ERERHh4\neFgzCYC2ys7O/t3vfid2CghqtbqoqKiqqqodq/UAsHHGi93TTz+9adOmDRs2CIIwffr0F154\nwbD/6NGjNTU1Tz75pGUD3qNjx45RUVE2OIUygFaUlJSUl5fzKNYWqNXqxsbGnJwcS68YBMD6\nTJqgODY2NjY2ttnOMWPGlJWVmT8RACnS6XQuLi6DBg0SOwiEbt26eXh4aLVaih0gPcbfsQOA\nB6fVan18fJyd27PaDcxOrVZnZ2eLnQKA+VHsAFgDQ2JtCuMnAKkyqdgdOXIkOjq6V69eLi4u\nzvewdEQAEqDVahkSazs0Gg3FDpAk47Vs//79kydPbmxsVCgU3t7eNDkAbdXY2Jidnf3++++L\nHQT/olarDcNZlEql2FkAmJPxlrZkyRKZTLZt27Zp06bJZDIrZAIgMYbJNXgUazsMd0+zs7NH\njRoldhYA5mT8UaxWq42JiZk+fTqtDkD7aLVaV1fXgQMHih0E/+Lu7j5gwACexgLSY7zYubm5\n9ezZ0wpRAEiVTqdTqVRyOaO1bAgLiwGSZPx3NjIyMiUlxQpRAEgVQ2JtEMUOkCTjxW7VqlUl\nJSUfffRRQ0ODFQIBkB7DHTuxU+BXNBpNVlaW2CkAmJnxwRMffvihWq1esmTJpk2bgoKC7h1C\ntXnzZotEAyAJ9fX1OTk5/v7+YgfBr6jV6qtXr167dq1Hjx5iZwFgNsaL3ZYtWwwbxcXFxcXF\n955AsQPQinPnztXU1PAo1tb4+fk5Oztrtdrw8HCxswAwG+PFLi0tzQo5ju0INgAAIABJREFU\nAEiVTqdTKpV9+/YVOwh+xbB0L8UOkBjjxS4oKMgKOQBIlVar5XadbWL8BCA9zD4AwLIodjaL\nFWMB6TF1fbAbN24kJiZevHixpqam2aG33nrL3KkASIdWq33jjTfEToEWaDSa1atX6/V65p8H\nJMOkYrdy5cqlS5feuXOnxaMUOwD3c+fOnfPnz3PHzjZpNJqKioqSkpJ+/fqJnQWAeRh/FBsX\nF/ff//3f/v7+v//97wVBWLBgwfLly8eNGycIwm9+85v//d//tXhGAHYrOzu7oaHBsDIpbI23\nt3fnzp15GgtIifFi9/nnnz/yyCNHjhz57W9/KwhCZGTk+++/f+jQoa+//jo+Pr5Pnz6WDwnA\nXul0ul69ejFTmm1ycnLy9fVlmmJASowXu4yMjEmTJnXu3NnwEkZjY6Nh/4wZMyZMmGC4jQcA\nLWLkhI1Tq9UMjAWkxHixq62t7dmzpyAIHTt2FAShoqKi6VBQUNCZM2csFw6AvcvKymLNCVum\n0Wh4FAtIifFi16tXr7KyMkEQlEqlu7v73Tfti4qKLJcMgARotVpesLNlGo3G8B6k2EEAmIfx\nYhcYGJidnS0IgkwmGzt27Lp16w4dOnT79u34+Phvv/02ICDA8iEB2CXDiEvu2NkyjUZz586d\n/Px8sYMAMA/jxe6pp546ceJESUmJIAgffvjhL7/8EhkZ2aVLl2eeeaahoWHp0qWWDwnALmVl\nZclkMpVKJXYQ3Ff//v2VSiXjJwDJMF7sZs+e3djYaFjncciQIYmJiTNmzAgLC3vppZeSkpLG\njh1r8YwA7JNWqx04cKC7u7vYQXBfhuZNsQMkw9SVJ5qEhoZ+/fXXlogCQGIYEmsX/P39GT8B\nSEYb1ootLi5OSkq6e1QsALRCq9Xygp3t02g03LEDJMOkYpecnBwYGOjp6Tlq1KhTp04ZdsbF\nxWk0miNHjlgyHgA7xpBYu+Dv75+fn//LL7+IHQSAGRgvdjk5OZGRkQUFBZMnT757/6RJk4qK\ninbu3GmxbADsWGlp6fXr13kUa/v8/f0bGhpycnLEDgLADIwXu+XLl9fV1Z04ceLLL7+8e7+7\nu3t4eHhiYqLFsgGwY5mZmS4uLj4+PmIHgRHdu3fv06cPr9kB0mC82B06dCgmJqbFF2V8fX0N\n06AAQDNardbHx6dDhw5iB4Fx/v7+vGYHSIPxYnf9+nVPT88WDzk5OVVWVpo5EQBJYOSEHaHY\nAZJhvNh169bt2rVrLR5KS0vr3bu3uSMBkIKMjAxWprEX/v7+mZmZYqcAYAbGi11YWFhCQkJN\nTU2z/YcPH/7hhx+YoBjAverr68+ePcsdO3vh7+9/+fLl+/0ND8COGC92CxcuvHbtWkxMjGHF\n2Orq6lOnTi1YsCAqKsrZ2fntt9+2fEgAdubcuXN37tyh2NkLlUrl7OzM+AlAAoyvPBEWFvb5\n55+/+eabBw8eFAQhOjrasL9Dhw5ffvklj1oA3CsrK0upVHp4eIgdBCZxcXHx9vbOysoKDw8X\nOwuAB2LSkmJz584dPXr02rVrk5KSrl+/rlAoRowY8eabbzL1KIAWZWVl+fv7y2QysYPAVIyf\nAKTB1LVi1Wr1mjVrLBoFgGQwJNbuaDSahIQEsVMAeFBtWCsWAEyUmZlJsbMvAQEBWq22sbFR\n7CAAHohJd+zKy8vXrVuXnp5eUlJSV1fX7GhycrIFggGwV7dv3y4sLKTY2Rd/f/+qqqqCgoJB\ngwaJnQVA+xkvdqdPn37iiSfKy8utkAaABBgGV1Ls7MvAgQPd3d2zsrIodoBdM/4o9q233iov\nL//ggw/Onz9fXV1ddw8rpARgRzIyMjw9Pbt27Sp2ELSBTCZjmmJAAky6Yzdp0qRly5ZZIQ0A\nCcjKymIiJHvEwFhAAozfsevatWv//v2tEAWANDBywk5R7AAJMF7sxo8fn5SUpNfrrZAGgAQw\n14mdCggIOH/+fFVVldhBALSf8WL38ccfX716deHChdXV1VYIBMCuXbhw4ebNmzyKtUcBAQF6\nvd6weiQAO2X8HTsPD48ff/xx2LBhmzZtUqvVCoWi2Qn79++3TDYA9ker1Xbu3JmRlfZIqVT2\n7ds3MzNz6NChYmcB0E7Gi11eXt7YsWMN050kJiZaPhIAO5aRkaFWq52dTV3VBjYlICCA1+wA\nu2b8x3f+/PmXLl2aM2fOyy+/3KdPH36vAbTCsEqs2CnQTv7+/ikpKWKnANB+xltaYmJiZGTk\n2rVrrZAGgL3LzMycOXOm2CnQToGBgV9++aXYKQC0n/HBEx06dPDx8bFCFAD2rqamJjc3NzAw\nUOwgaKeAgICysrLS0lKxgwBoJ+PFbuzYsWfOnLFCFAD2Ljs7u66ujkex9svHx6dz584ZGRli\nBwHQTsaL3apVq86fP7906dKGhgYrBAJgvzIzMz08PB5++GGxg6CdnJycVCoVC4sB9sv4O3bL\nly/39/f/8MMPv/rqq+Dg4HunO9m8ebNFogGwNywmJgEBAQEUO8B+GS92W7ZsMWwUFxcXFxff\newLFDoBBZmZmcHCw2CnwQAICAhg/Adgv48UuLS3NCjkASEBmZuYrr7widgo8kMDAwLy8vJqa\nGhcXF7GzAGgz48UuKCjICjkA2LtLly5duXKFXwx7FxAQUFdXl52dzc1XwB4ZHzwBAKbIzMx0\ncXEZPHiw2EHwQB566CEPDw9eswPsFMUOgHkYFhPr0KGD2EHwoAICApjxBLBTFDsA5pGRkcHU\nxNIQGBhIsQPsFMUOgHn8f/buO66pc/Ef+JMACjICgogBBaUglj1kiiLgRhGoA6latY62eEur\n9rYuUKl6bbVWa3/iROvAuhVHVUAUZU83VYEWHGyUjSG/P/K9lAtoEJI8ycnn/eof4ZyT8Imn\ngQ/nnOc5KHaMgWIHILtQ7ABABBoaGnJzc1HsmMHa2rqsrKyoqIh2EAB4byh2ACAC9+7dw83E\nGMPU1LRXr144aAcgi1DsAEAEcnJyDAwMtLW1aQcBEVBQUDA3N0exA5BFKHYAIAJZWVmYwY5J\ncJkdgIzqbLHbu3fvxx9/LHi8a9eulscAAATFjnFQ7ABkVGeLXWJi4uHDhwWPb9++3fIYAIAQ\nkpOTY2VlRTsFiIyVldWff/5ZW1tLOwgAvB+cigWA7srPz6+oqMAROyaxsbFpbm6+c+cO7SAA\n8H5Q7ACgu7Kzs1VVVY2NjWkHAZHR0NAYOHBgVlYW7SAA8H5Q7ACgu7Kysqytrdls/DxhFBsb\nG1xmByBz8IMYALorOzsb52GZx9raGkfsAGQOih0AdBduJsZINjY2OTk5zc3NtIMAwHtAsQOA\nbnn16lVeXh6GxDKPjY1NTU3N48ePaQcBgPeAYgcA3ZKVlcVms1HsmGfAgAE6OjqZmZm0gwDA\ne0CxA4BuycrKEtxalHYQED1LS0uMnwCQLSh2ANAtuOcEg9nY2GD8BIBsQbEDgG7JzMy0tbWl\nnQLEwtbWNj09nXYKAHgPnS12Ojo6hoaG7R8DgDxrbGy8f/8+ih1T2draFhcXv3jxgnYQAOis\nzha7jRs35ufnCx7/+OOPLY8BQJ7du3evsbERp2KZyszMTFlZGeMnAGSIIu0A743P5+fm5ubm\n5lZVVfH5fE1NTVNTU1NTUxaLRTsagNzJysoyMDDQ0dGhHQTEQlFR0cLCIjMzc9y4cbSzAECn\nyFKxq6ur27x5886dO4uKitqsMjAwWLhw4ZIlS1RUVKhkA5BPGDnBeLa2thg/ASBDZKbY1dTU\neHl5JScns9lsW1tbExMTDofDYrEqKytzc3NzcnJWrVp14cKFmJgYTLsAIDEZGRmenp60U4AY\n2drabtmyhXYKAOgsmSl269evT05ODgoK2rRpE5fLbbO2qKho2bJlR48eXb9+fXh4OJWEAPKG\nz+fn5OQsWbKEdhAQI1tb2ydPnlRVVXE4HNpZAEA4mZnuJCoqyt7e/uDBg+1bHSFEX1//0KFD\ndnZ2x44dk3w2APn0+PHjV69e4VQss1laWrLZ7JycHNpBAKBTZKbYFRYWuru7s9lvDcxms93d\n3f/++29JpgKQZxkZGVpaWpj8iNlUVVVNTU0zMjJoBwGATpGZYsfhcPLy8t69zdOnTzU1NSWT\nBwAyMzPt7OwwIJ3x7OzsMOMJgKyQmWLn7e19/vz5gwcPvm2DyMjI6OhoLy8vSaYCkGcZGRl2\ndna0U4DY2dra4ogdgKyQmcET69atu3jx4uzZs7du3Tp27NjBgwcLruStqqp69OjRpUuXsrKy\nNDU1165dSzspgLzIysqaM2cO7RQgdnZ2dt9++21dXR3mkwKQfp0qdvHx8Zs3b05JSamoqODx\neG3WvnnzRgzB2jI2Nk5ISJg3b15KSkqHJwUcHR337t1rbGwsgTAA8Pfff5eUlOBmYvLA1taW\nx+PdvXt36NChtLMAgBDCi110dLSvr29zczOHwzExMVFUpHaQz8LCIjk5OSMjIzY29tGjR1VV\nVYQQDoczePBgT09PnBICkKTMzExVVVUTExPaQUDsNDU1jYyMMjIyUOwApJ/wlhYWFsZisQ4f\nPhwYGCgNV0nb2dmJsMPV1dXt3LmzsbHxHdskJyeL6tsBMEZ6erqNjY2CggLtICAJGD8BICuE\nF7u7d+/6+fnNmDFDAmkkr6Ki4sSJEw0NDe/YpqSkhBDC5/MlFQpABmRmZuI8rPywtbU9e/Ys\n7RQAIJzwYqeqqqqrqyuBKF326aefuru7z549uwvP5XK5t27devc2ERERixYtkoajlQDSIz09\n3d/fn3YKkBA7O7t169Y1NTUpKSnRzgIA7yJ8uhNvb28pPxe5d+/emzdv0k4BIEdevnz57Nkz\ne3t72kFAQhwcHBoaGu7du0c7CAAIIfyI3aZNm5ycnNasWbNy5UqK19OsXLnyHWvT09NbNsC9\nYgHELS0tTVlZ2czMjHYQkJA+ffoYGBhkZGTgDnIAUk54sQsNDTU3Nw8LC9u/f7+NjU37WztE\nRkaKJdr/+v7779+xNisrKysrS/AYxQ5A3DIyMqytrXFWTq7Y29unp6fPnTuXdhAAeBfhxe7A\ngQOCBwUFBQUFBe03kEyxI4Soqal99dVXvXv3brP8q6++cnZ2njZtmmRiAADuOSGH7OzsLl26\nRDsFAAghvNhJyRD3c+fOffrpp3v27Nm9e/eECRNar/rqq6/Mzc1DQkJoZQOQN5mZmePHj6ed\nAiTK3t5+48aNb968oTibKQAIJfzzKSVXVEycOPHu3bsLFizw8fGZM2fO1q1bNTQ0aIcCkEel\npaUFBQUODg60g4BEOTg41NXVPXjwwNLSknYWAHgr4aNipUefPn1Onz69b9++EydOWFhYXL16\nlXYiAHmUlpbWs2dPc3Nz2kFAovr27cvlctPT02kHAYB36ewR9fLy8oSEhKKiovZz+Ur4HOic\nOXNGjhw5e/bs0aNHL1q06IcffpDkdweAtLQ0KyurHj160A4CkiYYP/HJJ5/QDgIAb9WpYrdh\nw4a1a9fW19d3uFbyF7cZGRnFxcVt3rx51apVV65ckfB3B5Bz6enpOA8rn+zt7S9fvkw7BQC8\ni/BTsVFRUcuXL7e0tBRMOLJkyZLw8HBPT09CyJQpU3777TexZ+wIm81etmxZamqqmpoalQAA\ncistLQ1TE8snBweHrKyspqYm2kEA4K2EF7sdO3b07ds3Pj5eMH2Rt7f3ihUrYmJiDh06dOrU\nKS6XK/6Qb2VpaSn4KbNr1y6KMQDkx8uXLwsLC1Hs5JODg0N9ff39+/dpBwGAtxJe7LKzs318\nfFRUVAQ3S21ubhYsDwoKGjdu3LvnDZYAFoulqKjIZsvSKBAA2ZWenq6srIyRE/Kpb9++BgYG\naWlptIMAwFsJ70ONjY26urqEEMG10lVVVS2rbGxsMEIKQK6kp6dbWVnhnhNySzB+gnYKAHgr\n4cVOT0+vtLSUEKKpqammpnbnzp2WVfn5+eJLBgBSKDU1dejQobRTADUodgBSTnixs7a2FlxR\nwWKxPDw8IiIiYmJiqqurT5069fvvv1tZWYk/JABICwyJlXMODg45OTkYPwEgtYQXuwkTJty+\nfbuwsJAQEhoaWltb6+3tra6uHhAQwOPx1q5dK/6QACAVioqKnj17hiN28mzo0KH19fWtT90A\ngFQRXuwWLFjQ3NxsYGBACHFwcEhISAgKCnJzc5s5c2ZiYqKHh4fYMwKAdEhNTe3Vq5eZmRnt\nIECNjo6OkZFRamoq7SAA0LH3vpezvb39oUOHxBEFAKScYAY7BQUF2kGApqFDh6ampi5cuJB2\nEADowHvMElJQUJCYmNh6VCwAyJW0tDSchwVBsaOdAgA61qlil5SUZG1tbWRk5Orq2vJ5joqK\nsrCwiI+PF2c8AJAi6enpmJoYHBwc7t+/X1tbSzsIAHRAeLF78OCBt7f306dPfX19Wy/38fHJ\nz88/fvy42LIBgBR5+vRpaWkphsSCvb19c3NzZmYm7SAA0AHhxS48PLypqen27dt79uxpvVxN\nTW3kyJEJCQliywYAUiQ5Obl3794mJia0gwBlGhoagwcPxtlYAOkkvNjFxMT4+flZWlq2X2Vm\nZiaYBgUAGE8wckJwa0GQc7jMDkBqCS92ZWVlRkZGHa5SUFB4/fq1iBMBgFRKSUlxcnKinQKk\nwtChQ1NSUminAIAOCC92WlpaJSUlHa7KzMzs16+fqCMBgNTh8XiZmZkYEgsCjo6OT548KSsr\nox0EANoSXuzc3NwuXLjQ0NDQZnlsbOzVq1cxQTGAPLhz505NTQ2KHQjY2Nj06NEDZ2MBpJDw\nYrd06dKSkhI/Pz/BHWPr6upSU1OXLFkyduxYRUXFr7/+WvwhAYCylJSUAQMG4Ag9CPTo0cPa\n2hpnYwGkkPA7T7i5ue3YsWPx4sWXLl0ihEyaNEmwXElJac+ePVZWVuINCABSIC0tDROdQGuO\njo4odgBSqFMTFC9atCgrKys4ONje3t7IyMja2nrhwoWZmZmzZs0Sdz4AkAbJyckuLi60U4AU\nQbEDkE6dvVesubn59u3bxRoFAKRTTU3NvXv3HB0daQcBKeLo6FhSUpKXlzdw4EDaWQDgH+9x\nr1gAkE9paWksFgs3E4PWTE1NtbS0cNAOQNp06ohdZWVlREREVlZWYWFhU1NTm7VJSUliCAYA\n0iIpKcnCwkJVVZV2EJAiLBbLyckpOTl52rRptLMAwD+EF7u0tLRRo0ZVVlZKIA0ASKHk5GRM\nTQztOTk5Xb16lXYKAPgfwk/FhoSEVFZWrly58vHjx3V1dU3tSCAlAFCEe05Ah5ycnDIyMhob\nG2kHAYB/dOqInY+Pz7p16ySQBgCkTWFhYVFREYodtOfk5NTQ0JCdnY2ZqwGkh/AjdhoaGgMG\nDJBAFACQQsnJyRwOx8zMjHYQkDq9e/f+4IMPkpOTaQcBgH8IL3ZjxoxJTEzk8/kSSAMA0iYx\nMdHR0ZHNxgh66ICzszOKHYBUEf7DeuPGjcXFxUuXLq2rq5NAIACQKsnJyc7OzrRTgJRycnLC\nxAgAUkX4NXb6+vpxcXGOjo779+83NzfncDhtNoiOjhZPNgCgrKmpKT09ffny5bSDgJRycXEJ\nDg5++fJl3759aWcBAEI6U+xyc3M9PDwE050kJCSIPxIASIvMzMz6+nrccwLexsrKSlVVNSUl\nZeLEibSzAAAhnSl2X3755fPnzxcuXDhr1iwul6uo2Nm7kAGArEtKSjI1NdXW1qYdBKSUoqKi\nvb19YmIiih2AlBDe0hISEry9vXfu3CmBNAAgVZKSknCBHbybi4tLYmIi7RQA8H+ED55QUlIa\nPHiwBKIAgLRJSkrCDHbwbi4uLqmpqW/evKEdBAAI6Uyx8/DwSE9Pl0AUAJAqL1++zMvLc3Nz\nox0EpJqLi0tNTc2dO3doBwEAQjpT7DZt2vT48eO1a9fyeDwJBAIAKXHr1i11dXVzc3PaQUCq\n6erqGhsb42wsgJQQfo1deHi4paVlaGjovn37bG1t2093EhkZKZZoAEDV7du3XVxcFBQUaAcB\naefi4nL79u3PP/+cdhAA6ESxO3DggOBBQUFBQUFB+w1Q7AAY6datW2PGjKGdAmSAq6vrpk2b\naKcAAEI6U+wyMzMlkAMApEpDQ0NmZuaaNWtoBwEZ4Orqmp+fX1RUpK+vTzsLgLwTXuxsbGwk\nkAMApEpqampTUxOGxEJnWFpacjicxMTEjz76iHYWAHmHG3sDQAcSExM//PDD9tfUArTHZrOd\nnJxu375NOwgAoNgBQEcSEhLc3d1ppwCZ4erqimIHIA1Q7ACgLT6fn5iY6OLiQjsIyAxXV9fM\nzMy6ujraQQDkHYodALT16NGjkpISHLGDznNxcWlubk5JSaEdBEDeodgBQFsJCQlcLtfIyIh2\nEJAZampqVlZWCQkJtIMAyDsUOwBo69atW8OGDaOdAmTMsGHDbt26RTsFgLxDsQOAtm7duoVb\nxML7cnNzu3XrFm4+CUBX14vdxYsXIyIi8vLyRJgGAKh7+fLl48ePUezgfbm7u7969erOnTu0\ngwDIta4Xu23bti1atGjw4MFffPHF8+fPRZgJACi6efOmqqqqtbU17SAgY/r16zdo0CBcZgdA\nV9eLnYeHx7Rp0ywsLHbu3PnBBx+IMBMAUJSQkODm5qaoKPy2NABtuLu7o9gB0NX1n93ffvut\n4EF5eXlcXJyI8gAAZTdu3AgICKCdAmTSsGHDVq9eTTsFgFwTweCJ3r1749cAADO8evUqJycH\nM9hB1wwfPvz58+ePHz+mHQRAfr1HsSsoKEhMTKyqqhJfGgCg69atW4qKio6OjrSDgEwyNTXl\ncrk3btygHQRAfnWq2CUlJVlbWxsZGbm6uqampgoWRkVFWVhYxMfHizMeAEhUQkLC0KFDlZWV\naQcBWTVs2DAUOwCKhBe7Bw8eeHt7P3361NfXt/VyHx+f/Pz848ePiy0bAEjajRs3hg8fTjsF\nyDB3d/ebN2/STgEgv4QXu/Dw8Kamptu3b+/Zs6f1cjU1tZEjR2IAFABj1NXVpaamjhgxgnYQ\nkGHDhw9/+vRpYWEh7SAAckp4sYuJifHz87O0tGy/yszMDJ9eAMZITExsbm52dXWlHQRkmIWF\nhba2Ns7GAtAivNiVlZW97V7gCgoKr1+/FnEiAKAkPj7e3t5eTU2NdhCQYWw2293dHZdfA9Ai\nvNhpaWmVlJR0uCozM7Nfv36ijgQAdMTHx3t4eNBOATJvxIgRKHYAtAgvdm5ubhcuXGhoaGiz\nPDY29urVq/g1AMAMDQ0NycnJuMAOum/EiBGPHj169uwZ7SAA8kh4sVu6dGlJSYmfn9/9+/fJ\nfy+vXrJkydixYxUVFb/++mvxhwQAsUtKSnrz5g0usIPus7a21tLSwmV2AFQIv6WYm5vbjh07\nFi9efOnSJULIpEmTBMuVlJT27NljZWUl3oAAIBFxcXF2dnYaGhq0g4DMa7nMbvr06bSzAMid\nTt0rdtGiRe7u7jt37kxMTCwrK+NwOM7OzosXLzY3Nxd3PgCQjOvXr48cOZJ2CmAIDw+PiIgI\n2ikA5FGnih0hxNzcfPv27WKNAgC01NfXJycnf/fdd7SDAEN4eHh8/fXXRUVF+vr6tLMAyJf3\nuFcsADDVrVu3cIEdiJC1tbWOjs7169dpBwGQOyh2AEDi4uIcHR3V1dVpBwGGYLPZI0aMiIuL\nox0EQO4IPxX7ttmJCSFsNltDQ2PIkCH+/v4fffQRi8USZTQAkJTr169j6iIQrZEjR/7444+0\nUwDIHeFH7Kqrq6uqqgr+q7S0tOVxRUXFvXv3oqKipk6dOmnSpDdv3kggMQCI1uvXr1NSUjw9\nPWkHAUYZOXJkfn5+Xl4e7SAA8kV4scvLy7OwsHB0dLx8+XL1f12+fNnBwcHCwqKkpCQrK2vU\nqFHR0dHbtm2TQGIAEK0bN24oKCjgAjsQrSFDhnC53NjYWNpBAOSL8GK3cuXKFy9exMfHjxkz\nRlVVlRCiqqo6ZsyYGzduPH/+PCwszNra+syZMwMGDDhy5Ij4AwOAiMXExLi5uamoqNAOAozC\nYrE8PDxiYmJoBwGQL8KL3cmTJ/38/JSVldssV1FR8ff3P3nyJCGkV69e48ePf/TokVgyAoA4\nxcTEeHl50U4BDOTl5RUTE8Pn82kHAZAjwotdSUnJ2z6Wzc3NJSUlgsdcLrepqUmU0QBA/IqL\ni+/cuYNiB+Lg7e1dXFx89+5d2kEA5IjwYmdoaHjy5Mna2to2y2tqak6ePNkyZvbZs2c6Ojoi\nzwcAYhUbG8vhcOzt7WkHAQYaMGCAqanptWvXaAcBkCPCi938+fPz8vKGDRt27ty58vJyQkh5\nefnZs2fd3Nzy8/Pnz58v2Cw+Pt7S0lK8YQFA1GJiYjw9PRUUFGgHAWby8vJCsQOQJOHz2H39\n9df37t07cOCAr68vIURRUbFlWpO5c+eGhIQQQkpLSz09PceNGyfWrAAgclevXv33v/9NOwUw\nlre39+zZs5uampSUlGhnAZALwoudgoJCZGTkxx9/fPDgwaysrFevXmloaNja2s6aNavluhwd\nHZ1ffvlFzFEBQMRyc3MLCgpGjRpFOwgwlqenZ11dXVJSkru7O+0sAHJBeLET8Pb29vb2FmsU\nAJCwq1evGhkZffDBB7SDAGNpamoOHTr0ypUrKHYAkoF7xQLIr6tXr44ePZp2CmC4MWPGXLly\nhXYKAHmBYgcgp5qamuLi4nAkHsRt9OjRaWlpZWVltIMAyIVOFbv4+PhJkybp6en17NlTsR1x\nRwQAcUhMTKypqcEMdiBujo6O6urquAUFgGQIr2XR0dG+vr7Nzc0cDsfExARNDoAZ/vjjD0dH\nx969e9MOAgynqKjo6el55cqVqVOn0s4CwHzCW1pYWBiLxTp8+HBgYCCLxZJApnfj8/m5ubm5\nublVVVV8Pl9TU9PU1NTU1FQasgHIkD/++GPixIm0U4BcGD169Nr/NFo/AAAgAElEQVS1a/l8\nPn5QA4ib8GJ39+5dPz+/GTNmSCDNu9XV1W3evHnnzp1FRUVtVhkYGCxcuHDJkiW4kTlAZ5SU\nlGRmZu7YsYN2EJALEyZM+Oyzz+7evYt57AHETXixU1VV1dXVlUCUdxNcDJScnMxms21tbU1M\nTDgcDovFqqyszM3NzcnJWbVq1YULF2JiYnr16kU7LIC0u3z5sqampoODA+0gIBf69+8/ZMiQ\nS5cuodgBiJvwYuft7Z2cnCyBKO+2fv365OTkoKCgTZs2cbncNmuLioqWLVt29OjR9evXh4eH\nU0kIIEP++OOP0aNH405iIDHjxo27fPnyN998QzsIAMMJHxW7adOmwsLCNWvW8Hg8CQR6m6io\nKHt7+4MHD7ZvdYQQfX39Q4cO2dnZHTt2TPLZAGQLj8e7fPky7gEIkjRmzJiEhIRXr17RDgLA\ncMKP2IWGhpqbm4eFhe3fv9/GxkZTU7PNBpGRkWKJ9r8KCwsnTZrEZr+1ibLZbHd39507d0og\nDIBMS0lJqaioGDt2LO0gIEeGDx/eo0ePmJgYPz8/2lkAmEx4sTtw4IDgQUFBQUFBQfsNJFPs\nOBxOXl7eu7d5+vRp+94JAG1cvHjRwcFBGq6dBfmhrKzs6el58eJFFDsAsRJe7DIzMyWQQyhv\nb+9jx44dPHhw1qxZHW4QGRkZHR0dGBgo4WAAMufChQuTJk2inQLkzoQJE9asWYNJTwDESnix\ns7GxkUAOodatW3fx4sXZs2dv3bp17NixgwcP5nA4hJCqqqpHjx5dunQpKytLU1Nz7dq1tJMC\nSLXnz59nZWXhogWQvPHjxy9atCgzM9POzo52FgDGkpnbSBgbGyckJMybNy8lJaXDg4iOjo57\n9+41NjaWfDYAGXLx4kVdXV1MdAKS179/fysrqwsXLqDYAYhPZ4tdeXl5QkJCUVFRQ0NDm1Uh\nISGiTtUxCwuL5OTkjIyM2NjYR48eVVVVEUI4HM7gwYM9PT3xkwKgM6KjoydMmPCOcUgA4jNh\nwoSLFy+uWrWKdhAAxupUsduwYcPatWvr6+s7XCuxYidgZ2cn2g6Xk5PT1NT0jg3++usvEX47\nAIoaGhquXbv222+/0Q4CcsrHx+c///nPixcv9PT0aGcBYCbhxS4qKmr58uVDhw6dPHnyihU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88kmbVcuWLZs+fbpYcgHAf2VnZ+/cufPc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\ngAmxAwCYCPuj0pvDuatYAAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data",
"source": "R display func"
}
],
"source": [
"plot_individual_gaussian(5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So now we can calculate the p-values (i.e. probability of a value smaller of equal to the observed one) for each of our 20 observations and combine them to a single p-value which will give information on the joint probability. The `poolr` package has implemented several mathods for p-value combination. Which one is appropriate depends on the situation."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [],
"source": [
"library(\"poolr\")"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<style>\n",
".list-inline {list-style: none; margin:0; padding: 0}\n",
".list-inline>li {display: inline-block}\n",
".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
"</style>\n",
"<ol class=list-inline><li>0.830046987011828</li><li>0.0397635640303491</li><li>0.132140579304765</li><li>0.00887661736833052</li><li>0.00486573957349549</li><li>0.0250729684613851</li><li>0.994310638279123</li><li>0.650870990910445</li><li>0.795796454569084</li><li>0.882558996348859</li><li>0.0180878107702188</li><li>0.428686140881496</li><li>0.515116105969359</li><li>0.250244658411808</li><li>0.189231344351359</li><li>0.301547335420369</li><li>0.172311936848783</li><li>0.577776888602489</li><li>0.615600759701352</li><li>0.134410965736429</li></ol>\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item 0.830046987011828\n",
"\\item 0.0397635640303491\n",
"\\item 0.132140579304765\n",
"\\item 0.00887661736833052\n",
"\\item 0.00486573957349549\n",
"\\item 0.0250729684613851\n",
"\\item 0.994310638279123\n",
"\\item 0.650870990910445\n",
"\\item 0.795796454569084\n",
"\\item 0.882558996348859\n",
"\\item 0.0180878107702188\n",
"\\item 0.428686140881496\n",
"\\item 0.515116105969359\n",
"\\item 0.250244658411808\n",
"\\item 0.189231344351359\n",
"\\item 0.301547335420369\n",
"\\item 0.172311936848783\n",
"\\item 0.577776888602489\n",
"\\item 0.615600759701352\n",
"\\item 0.134410965736429\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. 0.830046987011828\n",
"2. 0.0397635640303491\n",
"3. 0.132140579304765\n",
"4. 0.00887661736833052\n",
"5. 0.00486573957349549\n",
"6. 0.0250729684613851\n",
"7. 0.994310638279123\n",
"8. 0.650870990910445\n",
"9. 0.795796454569084\n",
"10. 0.882558996348859\n",
"11. 0.0180878107702188\n",
"12. 0.428686140881496\n",
"13. 0.515116105969359\n",
"14. 0.250244658411808\n",
"15. 0.189231344351359\n",
"16. 0.301547335420369\n",
"17. 0.172311936848783\n",
"18. 0.577776888602489\n",
"19. 0.615600759701352\n",
"20. 0.134410965736429\n",
"\n",
"\n"
],
"text/plain": [
" [1] 0.830046987 0.039763564 0.132140579 0.008876617 0.004865740 0.025072968\n",
" [7] 0.994310638 0.650870991 0.795796455 0.882558996 0.018087811 0.428686141\n",
"[13] 0.515116106 0.250244658 0.189231344 0.301547335 0.172311937 0.577776889\n",
"[19] 0.615600760 0.134410966"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"(pvals <- pnorm(s_4_or_more, mean = means, sd = sds))"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"combined p-values with: Bonferroni method\n",
"number of p-values combined: 20 \n",
"minimum p-value: 0.005 \n",
"adjustment: none \n",
"combined p-value: 0.0973 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bonferroni(pvals)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"combined p-values with: Stouffer's method\n",
"number of p-values combined: 20 \n",
"test statistic: 2.184 ~ N(0,1) \n",
"adjustment: none \n",
"combined p-value: 0.0145 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"stouffer(pvals)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"combined p-values with: Fisher's method\n",
"number of p-values combined: 20 \n",
"test statistic: 69.06 ~ chi-square(40) \n",
"adjustment: none \n",
"combined p-value: 0.00291 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fisher(pvals)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To put this into words you could say e.g. for the Fisher method: The likelihood of observing a combination of samples with values as small or smaller than\n",
"the observed ones is 0.29%."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The `harmonicmeanp` package also implements methods for p-value combination:"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"library(\"harmonicmeanp\")"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<strong>hmp.stat:</strong> 0.0411805780665968"
],
"text/latex": [
"\\textbf{hmp.stat:} 0.0411805780665968"
],
"text/markdown": [
"**hmp.stat:** 0.0411805780665968"
],
"text/plain": [
" hmp.stat \n",
"0.04118058 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hmp.stat(pvals)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<strong>p.hmp:</strong> 0.0540494304902734"
],
"text/latex": [
"\\textbf{p.hmp:} 0.0540494304902734"
],
"text/markdown": [
"**p.hmp:** 0.0540494304902734"
],
"text/plain": [
" p.hmp \n",
"0.05404943 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"p.hmp(pvals, L = 20)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"R version 3.5.1 (2018-07-02)\n",
"Platform: x86_64-conda_cos6-linux-gnu (64-bit)\n",
"Running under: Debian GNU/Linux 10 (buster)\n",
"\n",
"Matrix products: default\n",
"BLAS/LAPACK: /home/jupyterlab/conda/envs/r/lib/R/lib/libRlapack.so\n",
"\n",
"locale:\n",
" [1] LC_CTYPE=C.UTF-8 LC_NUMERIC=C LC_TIME=C.UTF-8 \n",
" [4] LC_COLLATE=C.UTF-8 LC_MONETARY=C.UTF-8 LC_MESSAGES=C.UTF-8 \n",
" [7] LC_PAPER=C.UTF-8 LC_NAME=C LC_ADDRESS=C \n",
"[10] LC_TELEPHONE=C LC_MEASUREMENT=C.UTF-8 LC_IDENTIFICATION=C \n",
"\n",
"attached base packages:\n",
"[1] stats graphics grDevices utils datasets methods base \n",
"\n",
"other attached packages:\n",
"[1] harmonicmeanp_3.0 FMStable_0.1-2 poolr_0.8-2 Matrix_1.2-18 \n",
"\n",
"loaded via a namespace (and not attached):\n",
" [1] Rcpp_1.0.4.6 lattice_0.20-41 digest_0.6.25 crayon_1.3.4 \n",
" [5] IRdisplay_0.7.0 repr_1.1.0 grid_3.5.1 jsonlite_1.6.1 \n",
" [9] evaluate_0.14 pillar_1.4.3 rlang_0.4.5 uuid_0.1-4 \n",
"[13] IRkernel_0.8.12 tools_3.5.1 compiler_3.5.1 base64enc_0.1-3\n",
"[17] htmltools_0.4.0 pbdZMQ_0.3-3 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sessionInfo()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "conda-env-r-r"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.5.1"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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