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@pmineiro
Last active October 17, 2022 18:56
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Updated version of https://gist.github.com/pmineiro/5863eb0ba0b1f6963447f8f500bf0f1c which uses 1F1(...) in order to be a well defined test supermartingale (computationally, it's almost identical).
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{
"cells": [
{
"cell_type": "markdown",
"id": "a213a99d",
"metadata": {},
"source": [
"# Derivations "
]
},
{
"cell_type": "markdown",
"id": "aa11737c",
"metadata": {},
"source": [
"## Empirical Bernstein only bounded below (lower CS only)"
]
},
{
"cell_type": "markdown",
"id": "d6c5db8e",
"metadata": {},
"source": [
"Realizations $X_t \\geq 0$ bounded below with finite $\\mathbb{E}_{t-1}\\left[X_t\\right]$. We use a (predictable) predictor $\\hat{X}_t \\leq 1$. Then $$\n",
"\\begin{aligned}\n",
"Y_t &= X_t - \\mathbb{E}_{t-1}\\left[X_t\\right] \\\\\n",
"S_t &= \\sum_{s=1}^t Y_s \\\\\n",
"\\delta_t &= \\hat{X}_t - \\mathbb{E}_{t-1}\\left[X_t\\right] \\\\\n",
"Y_t - \\delta_t &= X_t - \\hat{X}_t \\geq -1 \\\\\n",
"\\text{Wealth}_t(\\lambda) &= \\exp\\left(\\lambda S_t - \\psi_E(\\lambda) \\sum_{s=1}^t (Y_s - \\delta_s)^2\\right) \\\\\n",
"&= \\prod_{s=1}^t \\exp\\left(\\lambda Y_s + \\left(\\lambda + \\log(1 - \\lambda)\\right) (Y_s - \\delta_s)^2\\right) \\\\\n",
"&= \\prod_{s=1}^t \\exp\\left(\\lambda \\delta_s \\right) \\exp\\left(\\lambda \\left(Y_s - \\delta_s\\right) + (Y_s - \\delta_s)^2 \\left(\\lambda + \\log(1 - \\lambda)\\right) \\right) \\\\\n",
"&\\leq \\prod_{s=1}^t \\exp\\left(\\lambda \\delta_s \\right) \\left(1 + \\lambda \\left(Y_s - \\delta_s\\right)\\right) & \\left(\\text{Fan 2015}\\right) \\\\\n",
"\\mathbb{E}_{t-1}\\left[\\text{Wealth}_t(\\lambda)\\right] &\\leq \\text{Wealth}_{t-1}(\\lambda) \\exp\\left(\\lambda \\delta_t \\right) \\left(1 - \\lambda \\delta_t\\right) & \\left(\\mathbb{E}_{t-1}[Y_t] = 0 \\land \\delta_t \\text{ predictable}\\right) \\\\\n",
"&\\leq \\text{Wealth}_{t-1}(\\lambda) & \\left( e^{x} (1 - x) \\leq 1 \\right)\n",
"\\end{aligned}\n",
"$$\n",
"Thus we can use an exponential CGF bound with $V_t = \\sum_{s=1}^t \\left(X_s - \\hat{X}_s\\right)^2$ with scale parameter 1 despite unbounded realization. [Fan 2015](https://arxiv.org/abs/1311.6273)"
]
},
{
"cell_type": "markdown",
"id": "63194734",
"metadata": {},
"source": [
"## OPE Specialization"
]
},
{
"cell_type": "markdown",
"id": "0a1e52d1",
"metadata": {},
"source": [
"**Policy value** For an OPE-CS on the policy value , we have $x = w r$ with $E[w] = 1$, $w \\geq 0$ a.s., and $r \\in [0, 1]$ a.s. The yields a lower CS only. However an upper CS for $x$ can be derived from a lower CS for $x' = w (1 - r)$ via $E[x] = 1 - E[x']$.\n",
"\n",
"**Policy improvement** Similarly for an OPE-CS on (half the amount of the) policy improvement over the logging policy, we have $x = (w - 1) \\frac{r}{2}$ with $X \\geq -\\frac{1}{2}$ a.s., $E[w] = 1$, $w \\geq 0$ a.s. and $r \\in [0, 1]$ a.s. If we clip the predictor $\\hat{X}$ to be in $[-\\frac{1}{2}, \\frac{1}{2}]$ we again get a lower CS; and we can get an upper CS from a lower CS on $x' = (w - 1)(\\frac{1 - r}{2})$ via $E[x] = -E[x']$."
]
},
{
"cell_type": "markdown",
"id": "1de4f991",
"metadata": {},
"source": [
"### Control Variate Version"
]
},
{
"cell_type": "markdown",
"id": "cb530c2d",
"metadata": {},
"source": [
"We can use $X_t = \\frac{1}{2} \\left( w_t \\frac{r_t}{w_{\\max}} + \\beta_t (w_t - 1) \\right)$ in which case $\\beta_t \\in \\left[-\\frac{1}{w_{\\max} - 1}, 1\\right]$ implies $X_t \\geq -\\frac{1}{2}$ and therefore $\\hat{X}_t \\leq \\frac{1}{2}$; but we need to scale the resulting CS. However if (unknown to us) $r = c$ a.s., then we can achieve zero empirical variance by choosing $\\beta_t = -\\frac{c}{w_\\max}$ and $\\hat{X}_t = \\frac{c}{2 w_{\\max}} \\leq \\frac{1}{2}$."
]
},
{
"cell_type": "markdown",
"id": "6b1f0cdd",
"metadata": {},
"source": [
"### Clipped Control Variate Version"
]
},
{
"cell_type": "markdown",
"id": "5c4dcee8",
"metadata": {},
"source": [
"If we don't know $w_{\\max}$ but we can use a strategy like the above with a guess $\\eta_{\\max}$. We can use $X_t = \\frac{1}{2} \\left( w_t \\frac{r_t}{\\eta_{\\max}} + \\beta_t (z_t - \\bar{z}_t) \\right)$ where $z_t = \\min(w_t, \\eta_t)$ and $\\bar{z}_t = \\mathbb{E}_{\\mu}\\left[z_t\\right] \\leq 1$. This requires us to be able to compute integrals against the logging policy distribution conditional on context (e.g., in the finite case, we need to know the probabilities of _every_ action for this context).\n",
"\n",
"Proceeding as above, $\\beta_t \\in \\left[-\\frac{1}{\\eta_{\\max} - 1}, 1\\right]$ implies $X_t \\geq -\\frac{1}{2}$ and therefore $\\hat{X}_t \\leq \\frac{1}{2}$; but we need to scale the resulting CS. However if (unknown to us) $r = c$ a.s., then we can achieve zero empirical variance by choosing $\\beta_t = -\\frac{c}{\\eta_\\max}$ and $\\hat{X}_t = \\frac{c}{2 \\eta_{\\max}} \\leq \\frac{1}{2}$."
]
},
{
"cell_type": "markdown",
"id": "d08e0e70",
"metadata": {},
"source": [
"### General DR-ish Version"
]
},
{
"cell_type": "markdown",
"id": "865d36f2",
"metadata": {},
"source": [
"We suppose a realization predictor $\\hat{z}_t(x_t, a_t)$ which attempts to predict $w_t r_t$, and the ability to compute $\\bar{z}_t(x_t) \\doteq \\mathbb{E}_{a \\sim \\mu_t}\\left[\\hat{z}_t(x_t, a) | x_t\\right]$ where $\\mu_t$ is the logging policy. Suppose also $\\hat{z}_t(x_t, a_t) \\in [0, z_{\\max}]$ and $\\bar{z}_t(x_t) \\in [0, 1]$. Then we use $X_t = \\frac{1}{2 z_{\\max}} \\left( w_t r_t - \\hat{z}_t(x_t, a_t) + \\bar{z}(x_t) \\right) \\geq -\\frac{1}{2}$ and $\\hat{X}_t \\leq \\frac{1}{2}$. \n",
"\n",
"In the case $w_t r_t$ is perfectly predictable then $X_t = \\frac{\\bar{z}(x_t)}{2 z_{\\max}}$ and we only pay for the variance across contexts. In the case of perfect predictability and $\\bar{z}(x_t)$ is a constant wrt $x_t$ we can have zero variance, e.g. as with the “Clipped Control Variate Version” case with $r_t = c$ and $w_t \\leq z_{\\max}$.\n",
"\n",
"We have $\\mathbb{E}_{t-1}\\left[X_t\\right] = \\frac{1}{2 z_{\\max}} V_t(\\pi_t)$ so it appears in the nonstationary case we cannot change $z_{\\max}$ from round-to-round and still track the running mean (instead of a weighted running mean)."
]
},
{
"cell_type": "markdown",
"id": "75e1c383",
"metadata": {},
"source": [
"## Gamma Mixture"
]
},
{
"attachments": {},
"cell_type": "markdown",
"id": "18a84930",
"metadata": {},
"source": [
"Our wealth process for $c = 1$ and $\\lambda \\in [0, 1]$ is $$\n",
"\\begin{aligned}\n",
"\\text{Wealth}(\\lambda) &= \\exp\\left(\\lambda s + \\left(\\lambda + \\log\\left(1 - \\lambda\\right)\\right) v\\right) = \\left(1 - \\lambda\\right)^v \\exp\\left(\\lambda (s + v)\\right)\n",
"\\end{aligned}\n",
"$$ We will mix with the gamma distribution on $(1 - \\lambda)$ with $a = \\rho$, $b = 1/\\rho$ truncated to $[0, 1]$, $$\n",
"\\begin{aligned}\n",
"f(\\lambda) &= \\frac{\\rho^\\rho e^{-\\rho \\left(1 - \\lambda\\right)} \\left(1 - \\lambda\\right)^{\\rho - 1}}{\\Gamma(\\rho) - \\Gamma(\\rho, \\rho)}, \n",
"\\end{aligned}\n",
"$$ Yielding mixture $$\n",
"\\begin{align*}\n",
"&\\int_0^1 f(\\lambda) (1 - \\lambda)^v e^{\\lambda (s + v)} d\\lambda \\\\\n",
"&= \\frac{\\rho^\\rho e^{-\\rho}}{\\Gamma(\\rho) - \\Gamma(\\rho, \\rho)} \\int_0^1 e^{\\lambda \\left(\\rho + s + v\\right)} \\left(1 - \\lambda\\right)^{v + \\rho - 1} d\\lambda \\\\\n",
"&= \\left(\\frac{\\rho^\\rho e^{-\\rho}}{\\Gamma(\\rho) - \\Gamma(\\rho, \\rho)}\\right) \\left(\\frac{1}{v + \\rho}\\right) \\left.\\left( \\frac{\\Gamma(b)}{\\Gamma(a) \\Gamma(b-a)} \\int_0^1 e^{z u} u^{a-1} (1 - u)^{b - a - 1} du \\right)\\right|_{\\substack{a = 1 \\\\ b = v + \\rho + 1 \\\\ z = s + v + \\rho }} \\\\\n",
"&= \\left(\\frac{\\rho^\\rho e^{-\\rho}}{\\Gamma(\\rho) - \\Gamma(\\rho, \\rho)}\\right) \\left(\\frac{1}{v + \\rho}\\right) {_1F_1}(1, v + \\rho + 1, s + v + \\rho).\n",
"\\end{align*}\n",
"$$ where ${_1F_1}(\\ldots)$ is [Kummer's confluent hypergeometric function](https://en.wikipedia.org/wiki/Confluent_hypergeometric_function)."
]
},
{
"cell_type": "markdown",
"id": "fcd6b927",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "9febde67",
"metadata": {
"code_folding": [
0,
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63,
87,
96,
97,
111,
136,
139,
144,
171,
195,
204,
205,
221,
249,
252,
257,
284,
308
]
},
"outputs": [],
"source": [
"class EmpBernCS(object):\n",
" def __init__(self, rho=1):\n",
" super().__init__()\n",
" \n",
" self.rho = rho\n",
" self.sumXlow = 0\n",
" self.sumXhigh = 0\n",
" self.t = 0\n",
" self.sumvlow = 0\n",
" self.sumvhigh = 0\n",
" \n",
" def addobs(self, w, r):\n",
" assert w >= 0\n",
" assert 0 <= r <= 1\n",
" \n",
" Xhatlow = (self.sumXlow + 1/2) / (self.t + 1)\n",
" Xhathigh = (self.sumXhigh + 1/2) / (self.t + 1)\n",
" \n",
" self.sumvlow += (w * r - min(1, Xhatlow))**2\n",
" self.sumvhigh += (w * (1 - r) - min(1, Xhathigh))**2\n",
" \n",
" self.sumXlow += w * r\n",
" self.sumXhigh += w * (1 - r)\n",
" self.t += 1\n",
"\n",
" def logwealth(self, *, s, v, rho):\n",
" def loggammalowerinc(*, a, x):\n",
" from scipy.special import gammainc, loggamma\n",
" from math import log\n",
" #from mpmath import gammainc as mpgammainc\n",
" #from mpmath import loggamma, log\n",
" #gammainc = lambda a, x: mpgammainc(b=x, a=0, z=a, regularized=True)\n",
"\n",
" return log(gammainc(a, x)) + loggamma(a)\n",
" \n",
" def loghyp1f1(*, a, b, z):\n",
" assert b >= 1\n",
" if z > 0:\n",
" from math import log\n",
"\n",
" if b > 1:\n",
" return ( z\n",
" + log(b - 1)\n",
" + (1 - b) * log(z)\n",
" + loggammalowerinc(a=b - 1, x=z)\n",
" )\n",
" else:\n",
" return z\n",
" else:\n",
" from mpmath import hyp1f1, log\n",
"\n",
" return float(log(hyp1f1(a, b, z)))\n",
" \n",
" assert rho > 0\n",
" assert v >= 0\n",
"\n",
" from math import log\n",
" return ( rho * log(rho) - rho\n",
" - loggammalowerinc(a = rho, x = rho)\n",
" - log(rho + v)\n",
" + loghyp1f1(a=1, b=v + rho + 1, z=s + v + rho)\n",
" )\n",
"\n",
" def lblogwealth(self, *, t, sumXt, v, rho, alpha):\n",
" from math import log\n",
" import scipy.optimize as so\n",
"\n",
" assert 0 < alpha < 1, alpha\n",
" thres = -log(alpha)\n",
"\n",
" minmu = 0\n",
" logwealthminmu = self.logwealth(s=sumXt, v=v, rho=rho)\n",
"\n",
" if logwealthminmu <= thres:\n",
" return minmu\n",
" \n",
" maxmu = min(1, sumXt/t)\n",
" logwealthmaxmu = self.logwealth(s=sumXt - t * maxmu, v=v, rho=rho)\n",
"\n",
" assert logwealthmaxmu <= thres, (logwealthmaxmu, thres)\n",
"\n",
" res = so.root_scalar(f = lambda mu: self.logwealth(s=sumXt - t * mu, v=v, rho=rho) - thres,\n",
" method = 'brentq',\n",
" bracket = [ minmu, maxmu ])\n",
" assert res.converged, res\n",
" return res.root\n",
" \n",
" def getci(self, alpha):\n",
" if self.t == 0:\n",
" return [0, 1]\n",
" \n",
" l = self.lblogwealth(t=self.t, sumXt=self.sumXlow, v=self.sumvlow, rho=self.rho, alpha=alpha/2)\n",
" u = 1 - self.lblogwealth(t=self.t, sumXt=self.sumXhigh, v=self.sumvhigh, rho=self.rho, alpha=alpha/2)\n",
" \n",
" return l, u\n",
"\n",
"class EmpBernControlVariateCSScale(object):\n",
" def __init__(self, wmax, rho=1):\n",
" super().__init__()\n",
" \n",
" self.wmax = wmax\n",
" self.rho = rho\n",
" self.covlow = 0\n",
" self.covhigh = 0\n",
" self.covdenom = 0\n",
" self.t = 0\n",
" self.sumXlow = 0\n",
" self.sumXhigh = 0\n",
" self.sumvlow = 0\n",
" self.sumvhigh = 0\n",
" \n",
" def addobs(self, w, r):\n",
" assert w >= 0\n",
" assert 0 <= r <= 1\n",
" \n",
" betatlow = 0 if self.covdenom <= 0 else -self.covlow / self.covdenom\n",
" betatlow = max(-1/(self.wmax-1), min(1, betatlow))\n",
" Xhatlow = (self.sumXlow + 1/4) / (self.t + 1)\n",
" \n",
" betathigh = 0 if self.covdenom <= 0 else -self.covhigh / self.covdenom\n",
" betathigh = max(-1/(self.wmax-1), min(1, betathigh))\n",
" Xhathigh = (self.sumXhigh + 1/4) / (self.t + 1)\n",
" \n",
" self.sumvlow += (1/2 * (w * (r / self.wmax) + betatlow * (w - 1)) - min(1/2, Xhatlow))**2\n",
" self.sumvhigh += (1/2 * (w * ((1 - r) / self.wmax) + betathigh * (w - 1)) - min(1/2, Xhathigh))**2\n",
" \n",
" # NB: we choose particular calculations for the Cov so that when r=c a.s. we get a perfect predictor\n",
" self.covlow += w * (r / self.wmax) * (w - 1) # Cov(w r, w) = E[w^2 r] - E[w r] E[w] = E[w^2 r] - E[w r] = E[w r (w - 1)]\n",
" self.covhigh += w * ((1 - r) / self.wmax) * (w - 1)\n",
" self.covdenom += w * (w - 1) # Cov(w, w) = E[w^2] - E[w]^2 = E[w^2] - E[w] = E[w (w - 1)]\n",
" self.sumXlow += 1/2 * (w * (r / self.wmax) + betatlow * (w - 1)) \n",
" self.sumXhigh += 1/2 * (w * ((1 - r) / self.wmax) + betathigh * (w - 1))\n",
" self.t += 1\n",
" \n",
" return betatlow, betathigh\n",
"\n",
" def logwealth(self, *, s, v, rho):\n",
" from math import log\n",
" \n",
" def loggammalowerinc(*, a, x):\n",
" import scipy.special as sc\n",
"\n",
" return log(sc.gammainc(a, x)) + sc.loggamma(a)\n",
"\n",
" def loghyp1f1(*, a, b, z):\n",
" assert b >= 1\n",
" \n",
" if z > 0:\n",
" if b > 1:\n",
" return ( z\n",
" + log(b - 1)\n",
" + (1 - b) * log(z)\n",
" + loggammalowerinc(a=b - 1, x=z)\n",
" )\n",
" else:\n",
" return z\n",
" else:\n",
" from mpmath import hyp1f1\n",
" from mpmath import log as mplog\n",
"\n",
" return float(mplog(hyp1f1(a, b, z)))\n",
" \n",
" assert rho > 0\n",
" assert v >= 0\n",
"\n",
" return ( rho * log(rho) - rho\n",
" - loggammalowerinc(a = rho, x = rho)\n",
" - log(rho + v)\n",
" + loghyp1f1(a=1, b=v + rho + 1, z=s + v + rho)\n",
" )\n",
"\n",
" def lblogwealth(self, *, t, sumXt, v, rho, alpha):\n",
" from math import log\n",
" import scipy.optimize as so\n",
"\n",
" assert 0 < alpha < 1, alpha\n",
" thres = -log(alpha)\n",
"\n",
" minmu = 0\n",
" logwealthminmu = self.logwealth(s=sumXt, v=v, rho=rho)\n",
"\n",
" if logwealthminmu <= thres:\n",
" return minmu\n",
" \n",
" maxmu = min(1/2, sumXt/t)\n",
" logwealthmaxmu = self.logwealth(s=sumXt - t * maxmu, v=v, rho=rho)\n",
"\n",
" assert logwealthmaxmu <= thres, (logwealthmaxmu, thres)\n",
"\n",
" res = so.root_scalar(f = lambda mu: self.logwealth(s=sumXt - t * mu, v=v, rho=rho) - thres,\n",
" method = 'brentq',\n",
" bracket = [ minmu, maxmu ])\n",
" assert res.converged, res\n",
" return res.root\n",
" \n",
" def getci(self, alpha):\n",
" if self.t == 0:\n",
" return [0, 1]\n",
" \n",
" l = 2 * self.wmax * self.lblogwealth(t=self.t, sumXt=self.sumXlow, v=self.sumvlow, rho=self.rho, alpha=alpha/2)\n",
" u = 1 - 2 * self.wmax * self.lblogwealth(t=self.t, sumXt=self.sumXhigh, v=self.sumvhigh, rho=self.rho, alpha=alpha/2)\n",
" \n",
" return min(l, u), max(l, u)\n",
" \n",
"class EmpBernClippedCVCS(object):\n",
" def __init__(self, etamax, rho=1):\n",
" super().__init__()\n",
" \n",
" self.etamax = etamax\n",
" self.rho = rho\n",
" self.covlow = 0\n",
" self.covhigh = 0\n",
" self.covdenom = 0\n",
" self.t = 0\n",
" self.sumXlow = 0\n",
" self.sumXhigh = 0\n",
" self.sumvlow = 0\n",
" self.sumvhigh = 0\n",
" self.meanz = None\n",
" self.wclip = lambda w: w if w <= self.etamax else self.etamax\n",
" \n",
" def addobs(self, w, r, expOp):\n",
" assert w >= 0\n",
" assert 0 <= r <= 1\n",
" \n",
" betatlow = 0 if self.covdenom <= 0 else -self.covlow / self.covdenom\n",
" betatlow = max(-1/(self.etamax-1), min(1, betatlow))\n",
" Xhatlow = (self.sumXlow + 1/4) / (self.t + 1)\n",
" \n",
" betathigh = 0 if self.covdenom <= 0 else -self.covhigh / self.covdenom\n",
" betathigh = max(-1/(self.etamax-1), min(1, betathigh))\n",
" Xhathigh = (self.sumXhigh + 1/4) / (self.t + 1)\n",
" \n",
" meanz = expOp(self.wclip)\n",
" z = self.wclip(w)\n",
" \n",
" self.sumvlow += (1/2 * (w * (r / self.etamax) + betatlow * (z - meanz)) - min(1/2, Xhatlow))**2\n",
" self.sumvhigh += (1/2 * (w * ((1 - r) / self.etamax) + betathigh * (z - meanz)) - min(1/2, Xhathigh))**2\n",
" \n",
" # NB: these choices ensure that if etamax >= esssup w and a.s. r=c, then our predictor is perfect\n",
" self.covlow += w * (r / self.etamax) * (z - meanz) # Cov(w r, z) = E[w r z] - E[w r] E[z] \n",
" self.covhigh += w * ((1 - r) / self.etamax) * (z - meanz)\n",
" self.covdenom += z * (z - meanz) # Cov(z, z) = E[z^2] - E[z]^2 = E[z*(z-E[z])]\n",
" self.sumXlow += 1/2 * (w * (r / self.etamax) + betatlow * (z - meanz)) \n",
" self.sumXhigh += 1/2 * (w * ((1 - r) / self.etamax) + betathigh * (z - meanz))\n",
" self.t += 1\n",
" \n",
" return betatlow, betathigh\n",
"\n",
" def logwealth(self, *, s, v, rho):\n",
" from math import log\n",
" \n",
" def loggammalowerinc(*, a, x):\n",
" import scipy.special as sc\n",
"\n",
" return log(sc.gammainc(a, x)) + sc.loggamma(a)\n",
"\n",
" def loghyp1f1(*, a, b, z):\n",
" assert b >= 1\n",
" \n",
" if z > 0:\n",
" if b > 1:\n",
" return ( z\n",
" + log(b - 1)\n",
" + (1 - b) * log(z)\n",
" + loggammalowerinc(a=b - 1, x=z)\n",
" )\n",
" else:\n",
" return z\n",
" else:\n",
" from mpmath import hyp1f1\n",
" from mpmath import log as mplog\n",
"\n",
" return float(mplog(hyp1f1(a, b, z)))\n",
" \n",
" assert rho > 0\n",
" assert v >= 0\n",
"\n",
" return ( rho * log(rho) - rho\n",
" - loggammalowerinc(a = rho, x = rho)\n",
" - log(rho + v)\n",
" + loghyp1f1(a=1, b=v + rho + 1, z=s + v + rho)\n",
" )\n",
"\n",
" def lblogwealth(self, *, t, sumXt, v, rho, alpha):\n",
" from math import log\n",
" import scipy.optimize as so\n",
"\n",
" assert 0 < alpha < 1, alpha\n",
" thres = -log(alpha)\n",
"\n",
" minmu = 0\n",
" logwealthminmu = self.logwealth(s=sumXt, v=v, rho=rho)\n",
"\n",
" if logwealthminmu <= thres:\n",
" return minmu\n",
" \n",
" maxmu = min(1/2, sumXt/t)\n",
" logwealthmaxmu = self.logwealth(s=sumXt - t * maxmu, v=v, rho=rho)\n",
"\n",
" assert logwealthmaxmu <= thres, (logwealthmaxmu, thres)\n",
"\n",
" res = so.root_scalar(f = lambda mu: self.logwealth(s=sumXt - t * mu, v=v, rho=rho) - thres,\n",
" method = 'brentq',\n",
" bracket = [ minmu, maxmu ])\n",
" assert res.converged, res\n",
" return res.root\n",
" \n",
" def getci(self, alpha):\n",
" if self.t == 0:\n",
" return [0, 1]\n",
" \n",
" l = 2 * self.etamax * self.lblogwealth(t=self.t, sumXt=self.sumXlow, v=self.sumvlow, rho=self.rho, alpha=alpha/2)\n",
" u = 1 - 2 * self.etamax * self.lblogwealth(t=self.t, sumXt=self.sumXhigh, v=self.sumvhigh, rho=self.rho, alpha=alpha/2)\n",
" \n",
" return min(l, u), max(l, u)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "846c04f8",
"metadata": {
"code_folding": [
0,
1,
6,
47,
53,
117
],
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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D7Af+nWGdocB6nGrKfTjJsAB3WSOcJOlRdxuvAR/l876/j/N0+KMZXmtz+cwe4P0M00uBuZnWsWnHzZ1eCIzIMD0OeCfD8Y92t70Bp8rN4lTY5XgOzmE/u7ttZnxFZ1jewI3hhHs+eufQVlOcBO0h4At33rbMnwHa4VS+HcFJaH2Ccwt+2vJ+OBXah9xjOh0on1V7wEfAExmmbwPmZ5ge4baxH/hnVvHk8TiNcvvhYbdvlM6wbC0wLEO/3er22z04iaSaObS7DSdZ97u7vx8AZc4jvt4446SecM9XgwzL3gTezDA9OYtzPsJdFunGFJjH/pG+7+50K5xxr4+5+3T1OfS1ZsDXQBwQD/wIhOdy7DK31yDDd8q/cG7fT3DfG3dZKbfvNc/Q1vU4CehjwGygSoZlc4GH3fc9+d/30n6cCtSmGdYdC0zNMF3FXeeY2/71GZZF4tzen/E7Z5+77jacP8wEZVjeE+fnIhHnO/nttL4CVMJJ6B5zlz0H+OcQ1xNZHLsn3GX1cL5z6uXW/3H+AGNxquszfldGZvjsjcBq97M7gPcu4PtochbLs+u72fYBd3nmOHPqA9kerzz0xRz3SS+99NJLL730yv2V9p84ERERyWfGmMnATmvto4W0vSdwkpk3FMb2RPKLWx15m3XGNPWcMeZRIM5a+x+vYykoxqnev9taO7QA2p4HjLTWrsvvti+Er8aVn0pC3xURESmpsrtdSERERESkRLLWjvM6hoJmrV2IUwFfEG3n5SFuhc5X48pPJaHvioiIlFQaE1dERERERERERETEh2k4BREREREREREREREfpkpcERERERERERERER+mJK6IiIiIiIiIiIiID1MSV0RERERERERERMSHKYkrIiIiIiIiIiIi4sOUxBURERERERERERHxYUriioiIiIiIiIiIiPgwJXFFREREREREREREfJiSuCIiIiIiIiIiIiI+TElcERERERERERERER+mJK6IiIiIiIiIiIiID1MSV0RERERERERERMSHKYkrIiIiIiIiIiIi4sOUxBURERERERERERHxYUriioiIiIiIiIiIiPgwJXFFREREREREREREfJiSuCIiIiIiIiIiIiI+TElcERERERERERERER+mJK6IiIiIiIiIiIiID1MSV0RERERERERERMSHKYkrIiIiIiIiIiIi4sOUxBURERERERERERHxYUriioiIiIiIiIiIiPgwJXFFREREREREREREfJiSuCIiIiIiIiIiIiI+TElcERERERERERERER+mJK6IiIiIiIiIiIiID1MSV0RERERERERERMSHKYkrIiIiIiIiIiIi4sOUxBURERERERERERHxYQFeB3AhqlWrZhs0aOB1GCIi4qOWLVt2wFob4nUcRZGusSIikhNdY8+Prq8iIpKTnK6vRTqJ26BBA5YuXep1GCIi4qOMMX96HUNRpWusiIjkRNfY86Prq4iI5CSn66uGUxARERERERERERHxYUriioiIiIiIiIiIiPgwJXFFREREREREREREfFiRHhNXRERERKQkSU5OZufOnSQlJXkdipQQQUFB1KlTh8DAQK9DERERKdGUxBURERERKSJ27txJ+fLladCgAcYYr8ORYs5aS3x8PDt37qRhw4ZehyMiIlKiaTgFEREREZEiIikpiapVqyqBK4XCGEPVqlVV+S0iIuIDlMQVERERESlClMCVwqT+JiIi4huUxBURERERERERERHxYUriioiIiIhInvn7+xMeHp7+ev755wFo0KABrVu3ZunSpXlq58EHH6RmzZpMmDAhT+v/8ccfdO7cmdKlS+f5MyIiIiLFhR5sJiIiUoQZY94DBgL7rbWhWSw3wCSgP3AcGGGt/W/hRikixUlwcDArVqzIctmCBQuoVq1antoZP348ZcuWzfN2q1SpwiuvvMIXX3yR58+IXAhdY0VExJcoiSsiIlK0TQZeA6Zks/xyoKn76gj82/1XRIq4J79ay++7D+drmy0vqsDjV7S64HaWLFnCc889x8yZM5k9ezZDhgwhMTGR1NRUWrZsyZYtW865zerVq1O9enW+/vrrC45PJI8mo2usiIj4CCVxRUTEZxw8dooUawnwM1QqU8rrcIoEa22MMaZBDqsMAqZYay3wqzGmkjGmlrV2T07tnjx1gk3b11xQbIH+fpQrrf9qSP4qXbo85crX8jqMEu3EiROEh4enT48ZM4bBgwefsU5ERER6tW5sbCyhoaEsWbKE06dP07Fj1jmu+++/nwULFpw1f8iQIYwePTof90AkbwrqGnvBTh2HU8fOmm2xHDx2ClugGxcRkexUqloT/4CC+/1Hv1mJiIjnkpJT+Of0lcxZ5fzO0+qiCnx9b6THURUbtYEdGaZ3uvNy/AVz05EtXL1gaEHGJXJejLXcUr45d185hcDAMl6H46n8qJg9HzkNp5AmICCAxo0bs27dOhYvXsyoUaOIiYkhJSWFyMisv98nTpxYEOGKFKTzusZesCXvwPdjz5ptgCoFumEREcnJnpsXU6t+swJrX0lcERHx3MTvNzBn1R56Nq9Oj2YhVC6rKlwvGGPuAO4AqFG3IsMC2l9Qe3sPJ3Hg6Ckim1ajYlBgfoQowuqE33n36HoWf9SFF3q/Rt26XbwOSbIRFRXF3LlzCQwMpHfv3owYMYKUlBTGjx+f5fqqxJXiKuP1tV69ehfeYKNu0P/sh/t9uWo3K7Yfom+rmhe+DREROWetKlcv0PaVxBUREc+s3HGItbsP83bsFoZ2qMtz14R5HVJxtAuom2G6jjvvLNbat4C3ANq1a2dHD3vvgjaccOwUl0+KYc/mAL66pytlSum/HXLhhgDdYsfxxKZPuX7+nXx33Y+UKVew/2GW8xMZGclNN93ETTfdREhICPHx8ezbt4/Q0LOeDwWoEleKpDxdYzNfXy94q7XaOK9MFu9ezdw9e3lscJ8L3oSIiPgeP68DEBGRkifh2ClueOc3Br2+iIdnraZWxWDG9G/hdVjF1ZfATcbRCUgs8LH6XFXKlmLiX8PZcuAYT89ZVxiblBLisshHeSnsHg75GRYuf8vrcEqctDFx017ZVcl27NiRffv2ERUVBUBYWBitW7fGGHNe2927dy916tThpZdeYty4cdSpU4fDh/P3wW4i58iza6yIiJQ8KokREZFC8dXK3Xztjnn7Z8Jx1u05zBVtLuL2yIY0DilHWT0A67wYYz4BugPVjDE7gceBQABr7ZvAN0B/YBNwHLi5MOO7tEk1/tatMf+O3ky3i6vRL1QPpJL80S5sOJVWvcqP23/gMh71OpwSJSUlJU/rBQcHc/LkyfTpt966sIR7zZo12blz5wW1IXIufP0aKyIiJYt+YxYRkULxwc/b+H3PYepWdh5E9OzVrbm+Yz6MC1fCWWtzfPqY+8TsuwspnCyN6nMxP286wP/NWE2bupWoVTHYy3CkmAgIDKJ76Zr8cHIvySePEVi6rNchlXghISH06tWLd999l3bt2uW6/oMPPsisWbN44IEHCiE6kXNXFK6xIiJScmg4BRERKRSHk5KJahrCd/dH8d39UUrgliCB/n5MGhJBckoq909bQUrqhQ8HKALQs2E/jvgZlqz+wOtQBFiyZAkrV67MUwIXYPz48WzatIm///3vBRyZiIiISNGnJK6IiBSKxBPJVAwO9DoM8UiDamV5alAov25J4M2fNnsdjhQTncNvJTjV8uOmr7wORURERESkQCmJKyIihSLxRDIVyyiJW5Jde0ltrmhzES99v4Hl2w96HY4UA0HBlekSUIkFx3eQmnLa63BERDxldaOLiEixpiSuiIgUuJOnU0hKTqVCkIZiL8mMMYy7KpSaFYIY+ekKjiQlex2SFAM963Rnv79hzR8zvA5FRERERKTAKIkrIiIF6ujJ09z47mIAQsqX9jga8VrF4EAmDQln58HjPD57rdfhSDEQdckdBFjL/D+meR2KiIjnjPE6AhERKShK4oqISIH5auVuLn3uBxZvTeCaS2ozKLy21yGJD2jXoAr39mrKzOW7+GL5Lq/DkSKuYsV6dPErz8zDGzhyWP2pKLnvvvuIiYkp1G3GxcXRr1+/LJdFR0dTsWJF+vfvn2/bi46OZuDAgTmuExsbS8uWLQkNDc237YqIiEjxoySuiIjku+OnTvP83D+455PlHD15mheubc1Lfw0nKNDf69DER/yjRxPa1a/Mo1+sYXv8ca/DkSLu7x0eJNHPMOWHf3odiuRRfHw8v/76K1FRUef82dOnz3/845CQEGrVqsWiRYuyXB4ZGck333xz3u2fDy+2KSIiIkWPkrgiIpKv1u89Qs8JP/HmT5sJrV2B35/qx+D29bwOS3xMgL8fLw8JxxgYOW05p1NSvQ5JirBWza+hj18lphxaTULCJq/DKTxzR8P7A/L3NXd0rpudMmUKYWFhtGnThhtvvBGAbdu20bNnT8LCwujVqxfbt28nMTGR+vXrk5rq/HwfO3aMunXrkpyczIwZM9IrYpcsWcI111wDwOzZswkODubUqVMkJSXRqFEjALp37859991Hu3btmDRpUraxDRgwgFWrVgEQERHBU089BcBjjz3G22+/DcBVV13F1KlTc93PPXv2EBUVRXh4OKGhocTGxgLw7bffcskll9CmTRt69eoFwOLFi+ncuTMRERFceumlrF+//qz2jh07xi233EKHDh2IiIhg9uzZucYgIiIikkZJXBERuWD7DiexauchlmxLYPBbv7D3cBJPD2rFF3d1UfWtZKtO5TI8e3Vrlm8/xCs/bPQ6HCni/tH1SZIMvPPDA16HUqytXbuWcePG8eOPP7Jy5cr0hOo999zD8OHDWbVqFcOGDePee++lYsWKhIeH89NPPwEwZ84c+vbtS2BgIIsWLaJt27aAk2xdsWIF4AwtEBoaypIlS/jtt9/o2LFj+rZPnTrF0qVLeeCB7M9xZGQksbGxJCYmEhAQkF5xGxsbm171265du/SEbE4+/vhj+vbty4oVK1i5ciXh4eHExcVx++23M2PGDFauXMn06dMBaN68ObGxsSxfvpynnnqKhx9++Kz2nnnmGXr27MnixYtZsGABDz74IMeOHcs1DhEREREAPSZcRETOW3JKKh/8vI1xX69Ln1fK34/P/9aZdg2qeBiZFBVXtLmImA1xvLZgE12aVKNjo6pehyRFVKOGPRn0a02mHdvM8H2rqFEjzOuQCt7lzxf6Jn/88Ueuu+46qlWrBkCVKs53/S+//MLMmTMBuPHGG3nooYcAGDx4MNOmTaNHjx58+umn3HXXXYBT5RoSEgJAQEAAjRs3Zt26dSxevJhRo0YRExNDSkoKkZGR6dsePHhwrvFFRkbyyiuv0LBhQwYMGMD333/P8ePH2bp1K82aNQOgevXq7N69O9e22rdvzy233EJycjJXXXUV4eHhREdHExUVRcOGDc/Y/8TERIYPH87GjRsxxpCcnHxWe/PmzePLL79kwoQJACQlJbF9+3ZatGiRaywiIiIiqsQVEZHzsmHfEbq+8CPjvl5H7UrBTBoSzrvD2/Hd/VFK4Mo5eeLKVtSvWpb7p60g8fjZiQ+RvLq965OcMoavF7/sdSjiuvLKK/n2229JSEhg2bJl9OzZE4Dg4GCSkpLS14uKimLu3LkEBgbSu3dvFi5cyMKFC89I4pYtWzbX7bVv356lS5emV95GRETw9ttvp1f9gpM8DQ4OzrWtqKgoYmJiqF27NiNGjGDKlCnZrjt27Fh69OjBmjVr+Oqrr87YtzTWWmbMmMGKFStYsWKFErgiIiJyTpTEFRGRc3b81Glu/WAJ+w6fZFSfi/nhgW4MCq9NrxY1aFgt91+yRTIqWzqASUPC2X/kJGNmrcJa63VIUkTVrduFsNQA5h5Y5nUoxVbPnj2ZPn068fHxACQkJABw6aWX8umnnwIwderU9ORruXLlaN++PSNHjmTgwIH4+ztD7LRo0YJNm/43fnFkZCQvv/wynTt3JiQkhPj4eNavX09oaGiWccyaNYsxY8acNb9UqVLUrVuX6dOn07lzZyIjI5kwYcIZD1DbsGFDtu1m9Oeff1KjRg1uv/12brvtNv773//SqVMnYmJi2Lp16xn7n5iYSI4c9NkAACAASURBVO3atQGYPHlylu317duXV199Nf07bvny5bnGIHIudPUUESnelMQVEZE825FwnHs+Wc6lz//IjoQTTLujE/f2aqpxb+WChdWpxD/7NuOb1Xv5bOkOr8ORIqxfjQ784ZfKlq0/eh1KsdSqVSseeeQRunXrRps2bRg1ahQAr776Ku+//z5hYWF8+OGHZzx8bPDgwXz00UdnDIcwYMAAoqOj06c7duzIvn370pOtYWFhtG7dGmNMlnFs3ryZChUqZLksMjKS6tWrExwcTGRkJDt37jyjonfBggUMGDAg132Njo6mTZs2REREMG3aNEaOHElISAhvvfUW11xzDW3atEnfp4ceeogxY8YQERHB6dOns2xv7NixJCcnExYWRqtWrRg7dmyuMYicu6x/ZkREpOgzBVntYozZBhwBUoDT1tp2xpgqwDSgAbAN+Ku19qBx/oc2CegPHAdGWGv/m1P77dq1s0uXLi2w+EVExPH1qj28FbOZlTsTAYioV4kbO9XnmkvqeBxZzowxy6y17byOoyjy4hqbmmq54d3fWL79EHPu7UrjkHKFun0pHvbvW0PvuUO4s2Jr7r76E6/DyXfr1q0rNrfgd+3alTlz5lCpUqVz/uwNN9zAxIkT08fVPRdRUVHMnj2bypUrnzE/OjqaCRMmMGfOnHNu80Jt27aNgQMHsmbNmkLfdl5k1e90jT0/BXl9fXjWauat3cfSR3sXSPsiIlLwcrq+FkYlbg9rbXiGAEYDP1hrmwI/uNMAlwNN3dcdwL8LITYREcnFH3sP88/pKzmcdJr+rWvy8e0dmXVXF59P4ErR4+dneOmv4QQF+nHvJ8s5eTrF65CkCKpeI5T2BDH34BpsaqrX4UgOXnzxRbZv335en/3oo4/OK4EbFxfHqFGjzkrggjMUw5o1a+jfv/95xXS+YmNjueKKK9IfFiciIiKSlQAPtjkI6O6+/wCIBv7PnT/FOqXBvxpjKhljallr93gQo4hIiXfs5Gn+Hb2Z1xZsolzpAKbe1pGLKuX+IBiRC1GzYhAvXBvGHR8u48V5G3i4f/GoOJTCdXntKJ7c/T2/b/iCVs2v8TocyUbHjh0LfZshISFcddVVWS679NJL2bZtW+EGhDP8w+rVqwt9uyIiIlK0FHQlrgXmGWOWGWPucOfVyJCY3QvUcN/XBjIOgrfTnXcGY8wdxpilxpilcXFxBRW3iEiJ9uoPG2n1+He8tmATdSoH88EtHZTAlUJzWaua3NCpHm/FbCF2o671cu76tL+XAGuZu3qK16GIiIiIiOSLgk7idrXWXoIzVMLdxpiojAvdqttzGpTXWvuWtbadtbbd+dxCJSIi2UtOSeXtmC28NH8D3ZuF8MawS4h9qAdt659926lIQXqkf0uaVi/HqM9WEn/0pNfhSBFTsVIDuviV59sjm0hNyfohUyIiIiIiRUmBDqdgrd3l/rvfGDML6ADsSxsmwRhTC9jvrr4LqJvh43XceSIiUkCstby3aBufLdlBirXsOXSCY6dSqFM5mElDIqgYHOh1iFJCBZfy55WhEQx6fREPfb6Kd4a3y/Yp9SJZubxeH376cxb/Xf0R7cJHeB2OiIiIiMgFKbBKXGNMWWNM+bT3wGXAGuBLYLi72nBgtvv+S+Am4+gEJGo8XBGRgrMl7ihvRG/m6Tm/k3D8FM1qlKd7s+o80r8F80d1UwJXPNeiVgXGXN6cH/7Yz4e//ul1OFLE9Gj3D4JSLXP/+NTrUERECoU9p3tcRUSkqCnI4RRqAAuNMSuBxcDX1tpvgeeBPsaYjUBvdxrgG2ALsAl4G7irAGMTESmxlv2ZwNVvLKLniz8x/rv1RNSrxM+je/L6sEt4fdgl3B7ViKBAf6/DFAFgxKUN6NEshHFfr2P93iNehyNFSJly1ekeWIV5J3aSnHzc63AkC/fddx8xMTGFus24uDj69euX5bLo6GgqVqxI//79c2zj0KFDvPHGGwURXr655ZZbqF69OqGhoWfMT0hIoE+fPjRt2pQ+ffpw8OBBAKZNm0aTJk0YOHCgF+GKiIhIHhRYEtdau8Va28Z9tbLWPuPOj7fW9rLWNrXW9rbWJrjzrbX2bmttY2tta2vt0oKKTUSkJDp28jS3Tl7Ctf/+heXbD3FNRG3eurEtH9/WiUD/gh4iXeT8GGMYf10bKgQFcs8n/yUpOcXrkKQIubzRQA75GX5d/o7XoUgm8fHx/Prrr0RFReW+cianT5//OMchISHUqlWLRYsWZbk8MjKSb775Jsc2ikISd8SIEXz77bdnzX/++efp1asXGzdupFevXjz/vFNPM3jwYN55Rz8nxYFGHhIRKb4KdExcERHx3ro9h/ltSzwLNx3ghz/2M6B1LUZf3py6Vcp4HZpInlQrV5oX/9qG4e8t5tlv1vHUoNDcPyQCdG37d8qvn8LcjV8Q2eFer8PJdy8sfoE/Ev7I1zabV2nO/3X4vxzXmTJlChMmTMAYQ1hYGB9++CHbtm3jlltu4cCBA4SEhPD+++9TsWJFwsLC2Lp1K35+fhw7dozmzZuzZcsWZsyYkV4Ru2TJEp577jlmzpzJ7NmzGTJkCImJiaSmptKyZUu2bNlC9+7dCQ8PZ+HChQwdOpQHHnggy9gGDBjAc889R1hYGBEREVx99dU89thjPPbYY9StW5fbb7+dq666iqlTp9KlS5dcj8f48eP57LPPOHnyJFdffTVPPvkko0ePZvPmzYSHh9OnTx8ef/xxBg0axMGDB0lOTmbcuHEMGjSIbdu20a9fPzp16sTPP/9M+/btufnmm3n88cfZv38/U6dOpUOHDixevJiRI0eSlJREcHAw77//Ps2aNWPixImsXr2a9957j9WrVzN06FAWL15MmTK5X7+joqLYtm3bWfNnz55NdHQ0AMOHD6d79+688MILubYnIiIi3lMSV0SkGLDW8suWeHYePMHHv20n7sjJ9GW7Dp1Ifz+yV1Pu73OxFyGKXJBuF4dwW9eGvLNwK1FNQ+jdsobXIUkRUKp0efoE1WJu0h7u2b2MWhe19TqkIm/t2rWMGzeOn3/+mWrVqpGQkADAPffcw/Dhwxk+fDjvvfce9957L1988QXh4eH89NNP9OjRgzlz5tC3b18CAwNZtGgRf/nLXwCIiIhgxYoVAMTGxhIaGsqSJUs4ffo0HTt2TN/2qVOnWLo055v1IiMjiY2NpX79+gQEBKRX3MbGxvLmm28C0K5dOx599NFc93XevHls3LiRxYsXY63lyiuvJCYmhueff541a9akx3z69GlmzZpFhQoVOHDgAJ06deLKK68EYNOmTUyfPp333nuP9u3b8/HHH7Nw4UK+/PJLnn32Wb744guaN29ObGwsAQEBzJ8/n4cffpgZM2YwcuRIunfvzqxZs3jmmWf4z3/+Q5kyZViwYAH333//WfGWKVOGn3/+Ocd92rdvH7Vq1QKgZs2a7Nu3L9fjICIiIr5BSVwRkSIuJdVy54fLmL/O+UXMGLg8tCbBgc5XfHApP67vUJ/alYP1sDIp0h7s14yfN8fz4Ocr+fa+KGpUCPI6JCkC7oh6hrnzbuHp+Xfz+g0/Y/yKz/AxuVXMFoQff/yR6667jmrVqgFQpUoVAH755RdmzpwJwI033shDDz0EOLfpT5s2jR49evDpp59y113OYy/27NlDSEgIAAEBATRu3Jh169axePFiRo0aRUxMDCkpKURGRqZve/DgwbnGFxkZySuvvELDhg0ZMGAA33//PcePH2fr1q00a9YMgOrVq7N79+5c25o3bx7z5s0jIiICgKNHj7Jx40bq1at3xnrWWh5++GFiYmLw8/Nj165d6cnRhg0b0rp1awBatWpFr169MMbQunXr9ErZxMREhg8fzsaNGzHGkJycDICfnx+TJ08mLCyMO++8M71yuEePHukJ5AthjMHo3nsREZEiQ0lcEZEi7OTpFO6e+l/mr9vPgLBa/KNHE0LKl6ZaudJehyaS70oH+PPK0AgGvhrLA5+tZMotHfDzUwJCcla7dgfuqdGFf8X9zLexT3F5tye8DqlEufLKK3n44YdJSEhg2bJl9OzZE4Dg4GCSkpLS14uKimLu3LkEBgbSu3dvRowYQUpKCuPHj09fp2zZsrlur3379ixdupRGjRrRp08fDhw4wNtvv03btv+rwk4btiA31lrGjBnDnXfeecb8zMMUTJ06lbi4OJYtW0ZgYCANGjRI37fSpf93Pfbz80uf9vPzSx/bd+zYsfTo0YNZs2axbds2unfvnv6ZjRs3Uq5cuTOSzhdSiVujRg327NlDrVq12LNnD9WrV8/1OIiIiIhvKD6lCCIiJcTplFROp6Sy7cAxek74ifnr9vOXtnV4bWgELWpVUAJXirUm1cvx+BWtWLjpAO8s3OJ1OFJEXH/Zq4SmBvD8ls85nLjD63CKtJ49ezJ9+nTi4+MB0odTuPTSS/n0008BJ6mZVkFbrlw52rdvz8iRIxk4cCD+/v4AtGjRgk2bNqW3GxkZycsvv0znzp0JCQkhPj6e9evXExqa9RjYs2bNYsyYMWfNL1WqFHXr1mX69Ol07tyZyMhIJkyYcMYD1DZs2JBtuxn17duX9957j6NHjwKwa9cu9u/fT/ny5Tly5Ej6eomJiVSvXp3AwEAWLFjAn3/+mWvbGSUmJlK7dm0AJk+efMb8e++9l5iYGOLj4/n888+B/1XiZn7llsAFJ6n+wQcfAPDBBx8waNCgc4pVREREvKMkrohIEWCt5bOlO/jrm7/Q5JG5NHlkLt0nRLPr0AnGDmzJ+L+E6ZZIKTGGtK9Lv1Y1Gf/delbvTPQ6HCkC/ANKMbbz4yT4GaYuKPwhCIqTVq1a8cgjj9CtWzfatGnDqFGjAHj11Vd5//330x90NmnSpPTPDB48mI8++uiM4RAGDBiQ/oAtgI4dO7Jv3770ZGtYWBitW7fO9tq2efNmKlSokOWyyMhIqlevTnBwMJGRkezcufOMYRkWLFjAgAEDct3Xyy67jOuvv57OnTvTunVr/vKXv3DkyBGqVq1Kly5dCA0N5cEHH2TYsGEsXbqU1q1bM2XKFJo3b55r2xk99NBDjBkzhoiIiPTqXID777+fu+++m4svvph3332X0aNHs3///jy1OXToUDp37sz69eupU6cO7777LgCjR4/m+++/p2nTpsyfP5/Ro0efU6zi66zXAYiISAEy1hbdL/p27drZ3B5uICJSHOxIOE7kvxbgZ6BfaE1a1HR+cb2sVU2a1SzvcXS+yxizzFrbzus4iiJfv8YeOn6Kfi/HElzKnzn3dKVsaY0QJbm7d0oXlqYk8t2131G+Qm2vwzkv69ato0WLFl6HkS+6du3KnDlzqFSp0jl/9oYbbmDixInp4+qei6ioKGbPnk3lypXPmB8dHc2ECROYM2fOObdZHOS0/1n1O11jz09BXl/HzFzF/HX7WfJI7wJpX0RECl5O11dV4oqIFAEJx04B8MawtrwxrC339GrKPb2aKoErJValMqWYODicbfHHeOqr370OR4qIOzs8wBE/wyfRqj70BS+++CLbt28/r89+9NFH55XAjYuLY9SoUWclcMEZimHNmjX079//vGIqyqZNm8Zdd92V5XGRokX3ZYmIFF8qWxERKQIOJzlPqq5arpTHkYj4js6Nq3JX98a8vmAzUReHMCCsltchiY9r1fwaui0ez5T45Qw7upey5Wp6HVKJ1rFjx0LfZkhICFdddVWWyy699NKzHlpWUgwePPiM4S5ERETE96gSV0SkCEg84SRxKwQFehyJiG+5r/fFhNetxJiZq9h16ITX4UgRcGfbUST6GT5ZUHSrcYvycGhS9Ki/iYiI+AYlcUVEioC0JG7FYCVxRTIK9PfjlSERpFq479PlpKQq2SA5a93qOrpQhikHlnL8aN4eEuVLgoKCiI+PV2JNCoW1lvj4eIKCgrwORUREpMTTcAoiIj4qKTmFOav28P6irWzYdwSACsH62hbJrF7VMjx9VSvun7aS1xds4t5eTb0OSXzc39qO5MZlzzEtegw3D3zX63DOSZ06ddi5cydxcXFehyIlRFBQEHXq1PE6DBERkRJP2QARER+z69AJvli+izejN3Pk5GkC/Q39QmvRsWEVypTS17ZIVq6OqMNP6+OY9MNGujSpStv6VbwOSXxYeOj1dF72MpPjfmPw8QOUKVPN65DyLDAwkIYNG3odhoiIiIgUMg2nICLiQ5ZsS6DvxBjGf7cef3/D01eFsmxsH14dGsENnep7HZ6IT3vqqlAuqhTEyE9XpD8MUCQ7d10ykgQ/wytzbvY6FBGRfKFRVkREijclcUVEfMDplFRGfrqc6978heSUVD68tQO/junFjZ3q62FmInlUISiQlwdHsCcxiUdnrdGYoZKj8NbDuKFMQ6ae2MYPP7/gdTgiIiIiIjlSEldExGN7Ek9w2cQYZq/YTadGVfjuvigim4YQFOjvdWgiRU7b+pW5r1dTvly5m1nLd3kdjvi4UVd+QqtUf8au/5C9e1d4HY6IyAUzxusIRESkoCiJKyLiobgjJ7n+7d/YcuAYD/Ztxie3d6JBtbJehyVSpN3VowkdGlRh7Bdr+DP+mNfhiA8LLF2Wf/V6jSQDbyz4p9fhiIiIiIhkS0lcEREPrNp5iK9W7ua2D5aw9cAxXh0awd09mmBUPiFywfz9DBOHhOPvZ7j30xUkp6R6HZL4sHr1ujKkbGNmn9zL5s3fex2OiIiIiEiWlMQVESlE6/ce4dEvVnPla4u455PlrNqVyEt/bcMVbS7yOjSRYqV2pWCevzaMlTsO8fL8DV6HIz7u9l4vUcbCpEVPeB2KiIiIiEiWArwOQESkpPgz/hh9X44BoE3dSjw9qBUh5UtTq2Kwx5GJFE/9W9dicLu6vBG9ma5NQujcuKrXIYmPqlylMSOqRPDaoRV8F/s0fSPHeh2SiIiIiMgZVIkrIlJI9iYmAfD0oFbM+vulhNWppASuSAF7/MqWNKxalvunreDgsVNehyM+7OZ+b9AmNZCxm6axfsMcr8MRERERETmDkrgiIoUk8UQyABH1KuPnp7FvRQpDmVIBvDI0gvhjJ/m/GatITbVehyQ+qlTp8kwc8CHlLdy/cAzJyce9DklE5JxYXeJERIo1JXFFRApJWhK3QlCgx5GIlCyhtSvyUN/mzPt9H+FPzePGd3/jxXnr+WHdPg4cPel1eOJDQqq34pHmN7HDH374ZYLX4YiIiIiIpNOYuCIiheRw0mkAKgYriStS2G7t2pDqFUrz65YEVu44xBvRm0lxq3LrVA6mTd1KRNStRJu6lQi9qCLBpfw9jli80q3DfdT540M+3jKbflGPeR2OiMg5MehuLxGR4kpJXBGRQpJ4IhljoHyQvnpFCpufn2FQeG0GhdcG4Pip06zZdZiVOw6xYschVmw/xNer9gDg72doVqM84fUqEV6nEuH1KtE4pBz+GgalRPAPKMXQmp0ZH/cLa/+YSavm13gdkoiIiIiIkrgiIoXl8IlkypUO0Hi4Ij6gTKkAOjSsQoeGVdLn7T+SxKodiU5Sd8chvlq5m49/2w5AudIBtK5dkfB6lWhTpxIR9SpRo0KQV+FLAbuqy1hem3k5n/z3DcYpiSsiIiIiPkBJXBGRQnL4RLKGUhDxYdXLB9G7ZRC9W9YAIDXVsuXAsfRq3ZU7D/F2zBZOu8Mw1KwQRNsGlXlsYEsldIuZChXrcnlQLb5N2sMjxxMILlMl9w+JiIiIiBQgJXFFRApJopK4IkWKn5+hSfVyNKlejmvb1gEgKTmF3/ccZsV2J6n77Zq9BPoZXh4S4XG0kt8GNB/MzFWTiF7yCpd3e8LrcERERESkhPPzOgARkZIi8UQyFYKUxBUpyoIC/bmkXmVu6dqQSUMiuKVrQ2av3M0few97HZrks3ZhI6ieYvn6z++8DkVERERERElcEZHCcjhJlbhSMIwx/Ywx640xm4wxo7NYXs8Ys8AYs9wYs8oY09+LOIujO6MaUa50AC/O2+B1KJLP/PwDGFChKYtSj3AwYbPX4YiIB3R9FRERX6IkrohIIYjdGMeGfUepWq6U16FIMWOM8QdeBy4HWgJDjTEtM632KPCZtTYCGAK8UbhRFl+VypTizqhGfP/7PpZvP+h1OJLPBoTdymlj+Nvsa/ku9mlOJyd5HZKIFJKieH21WC83LyIiBUxJXBGRAmSt5edNB7j5/SVULhPIrV0beh2SFD8dgE3W2i3W2lPAp8CgTOtYoIL7viKwuxDjK/Zu7tKQqmVLMf679V6HIvms2cUDeabuFRy1Kfxzy2cM/LA9Mb9N8josESkcRfL6aozXEYiISEFREldEpICkplru/HAZ17/zG0GB/nz+90tpFFLO67Ck+KkN7MgwvdOdl9ETwA3GmJ3AN8A9WTVkjLnDGLPUGLM0Li6uIGItlsqWDuDuHk34eXM8izYd8DocyWdX9nyWL29axstNhhGEYfTvbxO3f63XYYlIwdP1VUREfIqSuCIi+Szh2CnGfrGGDs/OZ97v+xgYVosF/+xOYyVwxTtDgcnW2jpAf+BDY8xZ/wew1r5lrW1nrW0XEhJS6EEWZdd3rMdFFYP413frsVa3sxY3/gGl6NVlNJN6vc5JA8999zevQxIR36Drq4iIFBolcUVE8klqqmXZnwlc//avfPjrn1QuU4pHB7Tg1aERhJQv7XV4UnztAupmmK7jzsvoVuAzAGvtL0AQUK1QoishggL9ua/3xazccYjvf9/ndThSQOrXj+TvVdryfeoh3v7yJq/DEZGCpeuriIj4FCVxRUTyyVNzfufaf//CH3uP8Nw1rZl3fxS3RTbCaHAyKVhLgKbGmIbGmFI4D1b5MtM624FeAMaYFji/ZOp+znx2zSW1aVStLC/O20BKqqpxi6sRl/+HgQHVeOXgciVyRYo3XV9FRMSnKIkrInIB4o6c5Jmvf+ef01fywS/buK5tHeaP6sbQDvWUvJVCYa09DfwD+A5Yh/OU7LXGmKeMMVe6qz0A3G6MWQl8Aoywuuc/3wX4+zHqsotZv+8IX630/Nk2UkACAoN4Zsj3XO5fhdcS/suqtdO8DklECoCuryIi4msCvA5ARKSo2n8kiT4vxZB4Iplq5UrTqWFVnriyFWVL66tVCpe19hucB6pknPdYhve/A10KO66SqH9oLVrW2sxL329gQFgtAv319/LiyM8/gLFXfszyz/vyyG/PML3RZQQFV/Y6LBHJZ7q+ioiIL9FvFiIi52jNrkTejtlCrwk/cSQpmXduasfSR3vzyR2dlMAVKeH8/AwP9m3G9oTjTFuyI/cPSJFVvkJtnmrzD7b5W16ZM8LrcEREUA2wiEjxpiSuiEgeWWuZNH8jA19dyDPfrCM5NZU3hrWld8saXocmIj6ke7MQ2tWvzCs/bCQpOcXrcKQAdW77NwYH1eWjY5tZtvIDr8MRERERkWJMSVwRkVxYa/lu7V76TIxh4vwNNK9Znq/v7cp/x/ahX2hNr8MTER9jjFONu//ISab8ss3rcKSAjRowmRqp8O8Vr3kdiogIeiKDiEjxpSSuiEguxn29jjs/XMam/Ue5tWtDvr43klYXVaRMKQ2dICJZ69ioKlEXh/BG9GaOJCV7HY4UoDLlqnNdtQh+I4kdOxZ5HY6IiIiIFFNK4oqIZGPmf3fyxJdreW/RVno0C2HxI70YO7Al/n6qcRCR3D14WTMOHU/mnditXociBWxQxwfxs5bJi57mqwWPsGL1VE4mJXLieAKbNs/zOjwRERERKQZURiYikklySirdx0ez69AJANrUrcSr119COT20TETOQes6FenfuibvxG5h+KUNqFK2lNchSQGpUSOMSL/yfHZyF59t3wXbvyRw2XMEWDjhZ3hh5zX07/ak12GKiIiISBGmjISISCYHj59i16ETtLqoArPu6kKpAN20ICLnZ1Sfi/l2zV7+Hb2JRwa09DocKUAPRD1HuzUf0bHpFeyO/4MVu38lKeUka4/v4aktM2hSuxMXN7nc6zBFREREpIhSEldEJJPDJ5zxK++IaqQErohckCbVy3PNJXX44Jc/uaVrQ2pVDPY6JCkgDRt0p2GD7gC0YBC93Pm7dy9l2LcjuCH2QcYfWEe3TqM8i1FEREREiq4Cz04YY/yNMcuNMXPc6YbGmN+MMZuMMdOMMaXc+aXd6U3u8gYFHZuISFYST5wGoGJwoMeRiEhxMLJXU6y1vPLDJq9DEQ9cdFE7pg34lAYE8H/r3uP9Obfy2XcjvQ5LRIoh63UAIiJSoAqjxGwksC7D9AvARGttE+AgcKs7/1bgoDt/orueiEihS6vEraAkrojkg7pVynB9h3p8tnQH2w4c8zoc8UD1GqG80u99AoGX4hfz9N4fmRM91uuwRERERKQIKdAkrjGmDjAAeMedNkBP4HN3lQ+Aq9z3g9xp3OW93PVFRApNaqrlg1+2AarEFZH8c3fPJgT6GybO3+B1KOKRmrUi+LDH63zS/jHa2tI8tXUWcfvXeh2WiBQz+hVaRKT4KuhK3JeBh4BUd7oqcMhae9qd3gnUdt/XBnYAuMsT3fXPYIy5wxiz1BizNC4uriBjF5ES5qcNcXR4dj7R6+MoW8qfmhWCvA5JRIqJ6uWDuLlLQ75cuZt1ew57HY54pEGDboS2vI6ne00i2cDrP9zvdUgiIiIiUkQUWBLXGDMQ2G+tXZaf7Vpr37LWtrPWtgsJCcnPpkWkhDp5OoW7pi5j+HuLOXQ8mTGXN2fVE30pW1rPfhSR/HNnVCPKlQ7gxXmqxi3p6tbtwpAyDfl/9u47PKpqbePwb82kJyQQEgikCITeS+gioKKg2EUR7EfF7jl2/Y5Hj+VYsIFiB3vvWFGR3nsJvYQWAgnppM+s74/ESBOjJOyU576uXMzsvWf2MxFZ2W/WfteXhcls2vyT03FEREREpAaoypm4/YGzsZCj6wAAIABJREFUjTFJwEeUtlEYB9Q3xvxWGYkBdpU93gXEApTtDwP2VWE+EREAXpq2me9XpTCkfWNm3D2YMQPjcbt0K5qIVK76QX6MOakFv6zdw9LtGU7HEYeNGTKeYAtjZ/+b5OTFTscRERERkWquyoq41tr7rLUx1tpmwEjgV2vtaGAacGHZYVcAX5c9nlz2nLL9v1prtcCmiFSZrLxiHvx6NeOmbuS8btG8fnkC0fUDnY4lIrXYVf2bExHix9NT1jsdRRxWv0Fzrovsw1zyOf3nq5j86/1ORxIRERGRaqyqe+IeyT3A7caYTZT2vJ1Ytn0i0LBs++3AvQ5kE5E6YuHWdLo8/BNvz9tGl5gw/jO8vdORRKQOCPb34abBLZm7eR+zN6Y5HUccdsUZr/F217voZf15YPtkhk3qxI4d85yOJSIiIiLV0HFp+GitnQ5ML3u8Beh1hGMKgBHHI4+I1E3WWibO3sqL0zaRnV9MgyBfnh7RhVPaNXY6mojUIaN6x/H6zC2MnbKO/i37ayXxOsy4XHTvcjnPNhvE21PvYGL2Wr5ePI6bY/s6HU1EaiDdxyoiUrs5MRNXROS42rQ3l2veXkTCo7/w6Hdr8XO7GDMwnk+v76cCrogcd/4+bv55amtW7Mxi/NRNTseRaiAsLI5bz/+UniaQHzISsV6v05FEREREpJrR0usiUqstSkpn9OsLKPJ46dUsnBEJDfjXkFb4+7idjiYiddiFPWKYv3Ufz/2yAbcLbj65ldORpBo4I3ogD+6awsLlb9C7+3VOxxERERGRakRFXBGptTbsyWHU6/MJ9HXzyfV96Rpb3+lIIiIAuFyGsRd2wVp4+qcNGGO4aXBLp2OJw4b1u59XP5rC48tf5NNOl+LrG+R0JBERERGpJtROQURqFWst1lp2ZuRx1ZuLCPBx89kN/VTAFZFqx+0yPD2iC+d2bcrYKet5abpaK9R1gUHh3Nf+Sja7Le9NucXpOCIiIiJSjWgmrojUeNZavlm5mx3peXywYDu7MvPL9716WQ9aN67nYDoRkT/mdhmeuagrFnjqx/W4jOH6gfFOxxIHDepzB4M2fM7LqQsYtnsZUU26OR1JRERERKoBFXFFpEaz1vL0T+uZMG0zAMF+bi7rcwINQ/w4rX0U7ZuGOpxQROTo3C7DMyO64LXwxA/rcBm47iQVcuuye095nnN/uponf7mF5y6b7XQcEREREakGVMQVkRrtg4XbmTBtM/3iG/La5Qn4uV34+ahTjIjULD5uF89d1AVrLf/7fh0Gw7UntXA6ljgkOroXYxr2YFzGUmYuGMdJvW9zOpKIiIiIOEyVDhGpsTbtzeF/362la2x93rm6FyH+PirgikiN5eN28fzFXTmzUxMe+34tb8za4nQkcdAVp79Ec4/h8cQ3KC7OczqOiIiIiDhM1Q4RqZG2pOZyzotz8FoYP7IbPm79cyYiNZ+P28XzI7tyRqcoHv1uLRNnb3U6kjjE1z+YO9pfyU43/DDrUafjiEgNYLFORxARkSqkqoeI1DgfLtzOyc/MoNhrefvqXsQ1DHI6kohIpfF1uxg3shvDOkbxyLdreHOOCrl11Um9/klLr4uXk75h2cr3SEtdq1m5InJUxjidQEREqoqKuCJSo+xIz+Phb9bQqlEIn47pS6/m4U5HEhGpdL5uF+Mv6cbpHRrz32/W8PbcJKcjiQOMy8W/u9/OPmO5fNmTnPzdCBLe78WLX47Eer1OxxMRERGR40gLm4lIjbF9Xx7Xv7cEl4G3ru5FdP1ApyOJiFQZX7eLFy7pzs0fLOXByYnsyy3kkt5xNAnTv311SY8uV/Bx2Ams3z6TrenrWZ+TxKvZiZww4wHOGvyY0/FERERE5DhREVdEqiVrLeOmbmTh1nQASry2/PFj53VUAVdE6gQ/HxcvjurOvz5ezvhfNzH+1010ia3PsI5RDOsYxQkNg52OKMdB82aDaN5sEACekiKufK8PTyR9zaDsG6kXGu1sOBERERE5LtROQUSqnYJiDw98vZrnf9lI+v4iij1erLWc2q4RH13Xh9G9T3A6oojIcePn42LC6O78esdA7jq9DV6v5Ykf1jFw7HSGjZvF+Kkb2bAnB2u1oE1d4Pbx474+/yHbZfhw+r1OxxERERGR40QzcUWk2vB6LRNnb+WZn9dTUOylb4uGvPuPXvi49fsmEZEWkSHcNLglNw1uyc6MPH5cncKPq1N47pcNPPvzBlpEBpfN0G1Ch6ahGK1uU2u1b3sugxY+xcR9yxi2Yx6xsX2djiQiIiIiVUxFXBGpFn5es4fbPlpGXpGHBkG+PDC8PSN7xuF2qQghInKomAZBXDOgBdcMaMHe7AKmJKbwY2IKr8zYwoRpm4lpEMjQDlEM6xRFt9gGuPRvaa1z/6kvcN6UKxg/4x7GXjrT6TgiIiIiUsVUxBURx+zJLmD+ln28v2A7C7em4+fj4tFzOzK6d5xmkImIVFCj0AAu69uMy/o2I31/Eb+s2cMPq3fz9rwk3pi9lcah/pzeIYqhHaLo1TxcdzfUEk2a9uDc4Oa8n59Ey68v45ozJ+L28XM6log4SV11RERqNRVxReS4KirxMmNDKh8u3M6v6/aWbz+7S1MeGN6eyHr+DqYTEanZwoP9uKhnLBf1jCW7oJhp6/byw6oUPlm8g3fmbSMixI+nLuzMyW0bOx1VKsEF3W/i/Tl38WLmclovGs/gvnc6HUlEREREqoiKuCJy3OxIz2P0GwvYnp4HwOA2kVzcM45ucfVpHBrgcDoRkdolNMCXc7pGc07XaPKKSpixPpUXp23i2neW8Oi5HbmkV5zTEeUYtWo5lMk+AYyedjOfbvxMRVwRQTeziYjUXiriikiVKyrx8vqsLXyzIpnt6XncMaQ153aLJjY8yOloIiJ1QpCfD8M6NeGk1pHc+P5S7vtiFcmZ+dw+pLXa19RwzZsN4orwbryYuZxnPz+fU9pcRJeOI52OJSIiIiKVTE3RRKRK7czIY9DYaYydsp7kzHxeHNWNW05ppQKuiIgDgv19eOOKBC5OiOWFXzdxx6crKCrxOh1LjtHVZ7zKABPMm7kbuXTJY3wy5TYy0jc7HUtEREREKpGKuCJSZQpLPFz91iKSswq4/4y2rHzodIZ3bup0LBGROs3X7eKJCzpx+5DWfLF0F1e/tYicgmKnY8kx8PUN4qXL5zP73O/o7PXlkZRfGTT5HCZ+c5XT0URERESkkqiIKyJV5qVpm9mwJ5eJVyRw3UnxTscREZEyxhhuPaUVYy/szPwt+xjxyjxSsgqcjiXHKCwsjkmXTOP1jjcz2B3G8+mLWbv+a6djiYiIiEglUBFXRCqVtZYtqbnM2pjKS9M3cV63aE5pp1XQRUSqoxEJsUy6sic70vM4/6U5JCZnOR1JjpF/QBh9eozh4bM/or7Xcv3c/2P2whecjiUiIiIix0hFXBGpFPM27+Puz1YwbNwsTn5mBpdNXEhogC8PDG/vdDQRETmKk1pH8sn1fbHABS/PZfKKZKcjSSUIDYtl0oCnaYibW9a8yrfTH9CsXJFazjodQEREqpSP0wFEpObakZ7HZ0t24vFa3p6XBBZCAny4pFcs/VtG0C2uAeHBfk7HFBGRP9GhaRiTbz6RG95bwq0fLiMxOYu7T2+L22WcjibHoFXLobwV2YGRn5/Bfdu+gm1f8WrOLvol3Oh0NBERERH5i1TEFZG/pajEy7XvLGZdSg4uA41DA/jg2j40jwh2OpqIiPwNkfX8+eDaPjz0TSKvztjC2t05vDCyG2FBvuXHZOYV8fXyZL5YupPIev48eUFnGob4O5ha/kxoWCwvDHyWx2ffz2Kbz5jEl7k1eT7Xnv2O09FEpAoY9Ms3EZHaSkVcEfnLikq8XPL6fNal5PD65QkMaa+etyIitYGfj4v/ndeJDk1DeWhyIudMmM0rl/Vgb3YhnyzewU+JeyjyeGnXJJRZG9M4+8U5vHZ5Dzo0DXM6uhxFfPwQ3ogfQn5eOv/3+Tm8lL6UQZt+pFXLoU5HExEREZEKUk9cEamwnIJiFielc/Fr81iyLYNbTm6pAq6ISC00uvcJfHBtH3ILPQx9fhaXT1rI7E1pjOodx3e3nsgPtw3gs+v74bVWfXRrkMCgcO4f9jqhFi6cfSd93+zIWZM6sTLxY6ejiYiIiMif0ExcEflTBcUeJs7eyvipGyks8QJw/cB47jitjcPJRESkqvRsFs43t/TnrblJdI6uz6ntG+Hv4y7f3ymmtI/uje+X9tFdk5zNXae3UR/dai4ioi2TTnqO71a8Tn5JPr/mJvHvBY/xdbsRGJfmd4iIiIhUVyriishR7c0u4Izxs0nLLaRxqD9jToqnd4tw3TorIlIHNAkL5L5h7f5wf2Q9f96/pg///SaRV2ZsZs3ubJ6/uKsWtazm4uOHcGv8kNLHP9/Of5N/5oWvRhLg48/5/f6PiIi2DicUERERkUOpiCsihynxePlqeTK7MvJ5afomSryWR87tyKhecZphJSIiB/HzcfHYeZ3oGB3Gg5MTOWPcLCaM7kaPE8KdjiYVcFqvf/HG5z/zes5aAF74bgQNvJa7m5/H8EGPOJxORERERH6jIq6IALAjPY+l2zMAWJSUznvztwNQz9+HCaO6cqp634qIyFFc0iuOTtFh3Pj+Ui5+dT73DG3LNQOaY4x++VedhYbF8tUlM0naPgu324+3Fz7NT4UpjN36JScn3EJQSCOnI4pIBVlrnY4gIiJVSEVckTquqMTLu/O38ci3aw7afnaXpvzv/E74uV34+ahHnkh1ZYwZCowD3MAb1tonjnDMRcBDgAVWWGtHHdeQUmd0jA7j21tP5O5PV/LY92tZmJTO2As7Uz9I7RWqs4DABrRtczYAj7Ycyvkr3uGqZU/xxDejePiSXxxOJ+IcjbEiIlKdqIgrUkdl5RWTkVfEQ98kMn19Ko1D/Xnygs7EhgfhMoZmDYM0e0qkmjPGuIEJwBBgJ7DIGDPZWrvmgGNaAfcB/a21GcYYTauTKhUa4MvLl3bnzTlJPP7DWoY+P4tnL+5Cv/gIp6NJBXXvcjmXrP+U9/OT6DX9AYYPeoTiwv0Ue/IJCtJ/R6kbauoYqx/fRURqLxVxReoQj9eSU1DM+KmbeHteEh5v6S1XV/Zrxr3D2hLg6z76G4hIddML2GSt3QJgjPkIOAc4cGr9tcAEa20GgLV273FPKXWOMYarT2xOz2bh3PbRMka/sYDrB8bzr1Nb6+6OGuLak59h1TcjuW/bV9z39lcAuK3FDTT1Gl4b+hZNmvZwNqRI1dIYKyIi1Yp+ihapIxKTs+j3xFS6Pvwzk+ZspXlEMI+e25G3rurJg2e1VwFXpGaKBnYc8Hxn2bYDtQZaG2PmGGPml90aekTGmOuMMYuNMYtTU1OrIK7UNZ1iStsrjOwZy8vTN3PhK3NJySpwOpZUQMOI1kwcOZUbQjuWb+tpgigyhiQ3nPbzlbz81WgHE4pUuUobYzW+iohIZdBMXJFaLrewhJembeKl6ZsBuObE5vRr2ZCT22qhMpE6wgdoBQwCYoCZxphO1trMQw+01r4GvAaQkJCg1VGkUgT5+fD4+Z0Z2DqSOz5ZwZh3F/PxmL765WENEBDYgBvP+5AxJUXsSl5IXNyJWK+XT3/+Fx8nT+elrJXMeLMrI2JO4dzBj+P2Ue9jqXMqNMZqfBURkcqgIq5ILWat5bYPlzF13V6aNQzinat7E9cwyOlYIlJ5dgGxBzyPKdt2oJ3AAmttMbDVGLOB0gvORccnokipoR2b4DKG695dwr+/Ws3YCzvXyd7rr8/cwo+JKZzarjHXDmiOj7v0xjiP17J2dzYdmoZWu++L28ePuLgTATAuFxedPo5zC3O49sNBLHUVkZj8E4W/FHBG7zt569e7CA8M59LTX8Ll1qWG1GgaY0VEpFpROwWRWsrjtdz60XKmrtvLzYNb8svtA1XAFanGjDH9jTHBZY8vNcY8a4w54U9etghoZYxpbozxA0YCkw855itKZwhhjImg9NbPLZUaXqSCTusQxW2ntOKzJTt5Z942p+NUucISD1MSU0hMzuLDhduZOHsrj/+wll0Z+Tz54zquemsRi5LSufuzFVw+aQHDX5jN18uTnY5dIX7+9Xjr8kW80n4MrbwuHt8zkwGTz2Zi7nrGps6jzztdGTKpI5s3/+x0VJG/S2OsiIhUK/r1uEgtZK3lmrcXMW19Kqe2a8S/hrTG7apes3pE5DAvA12MMV2AO4A3gHeAgX/0AmttiTHmZmAK4AYmWWsTjTEPA4uttZPL9p1mjFkDeIC7rLX7qviziPyh205pRWJyNg9/u4Y2UfXo06Kh05GqzOPfr+OtuUkHbYuuH8iP/xzAD6tS+L+vVjFrYxr+ZYu9RdbzZ9zUjZzZuQm+7uo/18K4XPTveTPt4ocy4aebSS7MJNIvhKiASL7MWEWK23Du7NtpNdPFPjy0cQWxy5NP14BIrh/wGI0i2wPgHxDm8CcROVxNHGPVp0FEpHYz1tbcf+oTEhLs4sWLnY4hUq2k5Rby0OREvl25mzEDW3Dv0LbV7rZMkePFGLPEWpvgdI6KMMYstdZ2N8b8B9hlrZ342zYn8miMlaqUU1DMORPmkJVXzPMjuzKgVaTTkSrd3M1pjHp9ASN6xNA3viEdmoZR7PHSMMSPJmGBACxOSueDBdu54/Q2NAkN4Nd1e7nmncX0aRHOi6O6ExHi7/Cn+PuKC/ezcOWb3L/6FdLLfpHs7y297igsex7otbQxfrx92UK1XqiBatIYW51U5fh620fLWL4jkxl3Da6S9xcRkap3tPFVPy2J1CLWWv750XJmb0pjSPvG3HO6CrgiNUiOMeY+4FLgJGOMC/B1OJNIlagX4Mvrlydw9VuLuGziQk7v0Jh/n9me2PDa0fZnybYMxryzhBYRwfz3nA4E+R35R+6EZuEkNAsvf35q+8Y8M6IL93+5irNemM1Lo7vTLa7B8YpdqXz9g+nf82Zm9LwZT0kRieu/pF3L4fj4BrJ123Temf8E3xcks9wUM+CdrjzUahQZ+/dwcvfriYhs53R8kRpLP/mLiNRemokrUsPlF3m44f0lbNyTi8drScku4JFzO3JZnz9rpSlS+9WkWULGmChgFLDIWjvLGBMHDLLWvuNEHo2xcjwUFHuYOHsrL/66Ca+1XD8wnhsGxRPg63Y62t+2KCmdKyctJLKePx9e16d81u1fsXpXFte/t4S92YU8cm4HLu4ZB8D09Xu55/OVRIT48/A5HelxQs0s8P7Ger3c8l5/Ztjcg7Z/3v8p8goyWLNzDq2jetKl3Qh8/YMdSil/pCaNsdVJVc/EXbEjk+maiSsiUmMdbXxVEVekBrPWctdnK/lsyU7O7tIUX7eLFpHB3DAwHpd64IroAvMYaIyV4yk5M5//fb+Wb1fuJrp+IA8Mb8fpHaKq3d0kG/bksDVtPyUey/sLtpGaU0hMg0BiGgRxSa84/HxcnP3ibKLCAvjw2j40Dg342+fK2F/ErR8tY9bGNJ6/uCtfL9/FtPWptGoUQn6xh9ScQr66qT/tmoRW4id0xqJlE/lpw+esztvNalfJYfv9vZbxHW+gb48bMK7q3yu4rtAY+/eoiCsiIkejIq5ILZRXVMI/3lrMvC37uKRXHI+f38npSCLVTk24wDTG5HCUtUistY5UaDTGihPmb9nHQ5MTWZeSQ5fY+kQE++GxFo/3kC9r8Xot9YP8uO3UVnQvazkwc0Mq365M5vzuMRVeMM1ay8a9ubiMYXdWPi9M3cSuzHzuO6MtZ3ZqUl5Inrd5H1e8uZCiEi9QukBZh6ah7MrMZ2vafgJ93cSGB7ElNZefbx94TAXc3xQUe7jg5bkkJmfjdhluH9Kay/ueQEGxlzPGz8Jl4PXLE+gcU/+Yz1VdzF00gTFrXqGlx3BeVB/WZGxkaWEqu92G5h7D4LBWDGk3kqLifHbsW0NhSQHnDf4fvr61oxVHTVITxtjqSEVcERE5GkeKuMaYAGAm4E9p793PrLUPGmOaAx8BDYElwGXW2iJjjD+lq3D3APYBF1trk452Dl1gSl02cfZWHvl2DZf2ieO/Z3fErZm3IoepSReYxphHgN3Au5S2tBsNNLHW/seJPBpjxSklHi/vL9jOZ0t2YrG4jcHlMriNwe36/ctlDGt2Z5OaU8j53aPJKSjh5zV7cLsMHq9leOcm/N+Z7crbGZR4vKzalYUF/NwufNyGtJwinvtlA0u2ZZSfv3GoPw2D/VmzO5uRPWN5/PxOJCZnM/K1+TQJC+CJCzpRVGJJaNYAX3fprNBNe3M5d8IccgtL+N95nRjVO67Svh9ZecVMWZNCy0Yh5cVqgLW7s/nHW4tIzirglLaNeHpEFxoE+1XaeauTrKztPP3d1cwvSCHFffjPO+28bh7p/yhtWg93IF3dVZPG2OpERVwRETkapxY2KwROttbmGmN8gdnGmB+A24HnrLUfGWNeAf4BvFz2Z4a1tqUxZiTwJHBxFeYTqdF2ZeQT7Ofm0XM1A1ekljjbWtvlgOcvG2NWAI4UcUWc4uN2cUW/ZlzRr9mfHptbWMKLv25i0uyt+LoN9w5ryyW94pg0eyuvzNjM1LV7ufnklnSOCeOx79ayLiXnsPeIrOfPf4a3p2GIHy5jGNK+MT4uw9if1vPqjC0E+rn5ZkUyYYG+vPOPXkfscduyUQivXtaDWRvTGNkztjK+DeXCgny5KOHw92zXJJR/D2/Pje8vZeq6vYybupGzujRlze5sYuoH8uu6vSQ0a8A5XaMrNY8TwsLieGTULxQX5/HtzIfYlrmFyKBImtaPJ2N/Cg/v/JEL591HxzkPcFpkd64aPtHpyCIiIiKVrkJFXGNMI6A/0BTIB1YDi6213j96jS2d4vvbKgW+ZV8WOJnShVsA3gYeorSIe07ZY4DPgBeNMcbW5H4PIlUoK7+YsEAtXC9Si+w3xoym9G4VC1wC7Hc2kkj1FuLvw73D2nLNgOb4uAz1g0pnov5rSGsu7BHDo9+tYeyU9UBp+4OnR3ShYYgfJR5LsceLAQa2iSTI7/Afie8d2pbkzALenJNEeLDfHxZwf9O/ZQT9W0ZUyef8I8M6RvHG5Ql8uWwXb81N4q25SQftf3f+NuZsSqNffASNQv3ZuCeXc7o2Lf8+1TS+vkGcd8pTh23vsvl07pp5J6tdJazet5C3J3VkfO8H6NxB80FERESk9jhqEdcYMxi4FwgHlgF7gQDgXCDeGPMZ8Iy1NvsPXu+mtGVCS2ACsBnItNb+tmLBTuC36QHRwA4Aa22JMSaL0pYLaYe853XAdQBxcZV3q5pITZOVX0yoirgitckoYFzZlwXm8PsvPUXkKCJC/A/bFhsexKuXJTBnUxpJ+/ZzQfcYAnzdFX5PYwxjL+xM07AAzurSlPjIkMqMXCmMMZzavjED20TSp0U4xhhaNgohY38RJ7WO5O7PVvLD6hQ+Wbyz/DUPTk5kWMco/ntOB96bv51ZG1O5YWA8p3WIAsDjtazdnU2rxiH4+1T8++Wk+PghfN58GcXF+7ntoyHMdu9n9OJHYfGjNPcYWvvV56IOl9Or2zVORxWpUpr+JCJSu/3ZTNwzgGuttdsP3WGM8QGGA0OAz4/0YmutB+hqjKkPfAm0Pba4YK19DXgNSvsJHev7idRU2QUq4orUJmV94M9xOodIbXMsM2QDfN3cd0a7Sk5U+XzdLi7r2+yw7RNGd8day3sLtvPBgu1c0iuWpLQ8Js3Zyg+rU8qPu+XDZdw0uCVfLN1JbqGHtNxCBraO5K2repYv7PabgmIPKVkFNIsI/tt5rbUYYygo9gD8peL6HzEuF37+9Xj5ivms3/Atry54kp+9mWx1W7Z6MpiychysHMeVwS0Z1e/fhIZGs3DVe/TsOJqQek0oLtyPcbnx8T32BelEnHTo/7MiIlJ7HLWIa629yxjjMsZcZK395JB9JcBXFTmJtTbTGDMN6AvUN8b4lL0+BthVdtguIBbYWVYgDqN0gTMROcTKnZks3JrOkPaNnY4iIpXEGBMJXAs044Dx2Vp7tVOZRKTmM8ZwWZ8TuKzPCeXbOsWEsnZ3DhclxJKZV8SFr8zj2Z830LJRCG2jgtib48uMDak88cM67jujHR6v5ZPFO/h6+S7mb0kvf59RveO4YWA8abmFdCtbdO2LpTvZnJpLnxYN2bw3l7O6NCUjr4h1KTlMXbuXL5ftws/toltcfZL27adRvQDeu6Y3YYG+rNqZRctGIQT6lRZ1M/OK8FpoEOT7lwpTbVoP59nWw8nLSwOvl2/n/o9Hdk8F4K39m3jr5yt/P3jD24e9PtBrualRP3bk7ODklmfRL+HGv/ItFxEREakSpiItZ40xi//qyqNlF6PFZQXcQOAnShcruwL4/ICFzVZaa18yxtwEdLLWXl+2sNn51tqLjnYOrZwtdVFichYXvTKP/UUeHj6nA5cfYeaNiJSqSStnG2PmArMobUPk+W27tfaId7tUNY2xInXH3E1p5BaWcEq7xrhdBq/XcudnK/hi6S4STmjA4m0ZwO9tK9JyC3G7DB7v79cRNw6KZ31KDlPX7T3quVpEBtOonj+Ju7LJKSw54jHndG3K18uTD9p2btemXNIrjk4xYRgMy7Zn8GNiCrsy8rlxcEu6x9U/aqHXer0sX/0BGbnJTFr/ER2Do7FYpuUmYYH+gU3J9xbxY3Ea3kPeJ8JjsUC4cdPOP4Igtz+L9+9kk7v08zf1wBVNT2LU0AlH/ey1TU0aY6uTqhxfb/1wGat2ZTHtzkFV8v4iIlL1jja+VrSI+wSlvWk/5oBFVqy16Ud5TWdKFy5zAy7gE2vtw8aYFpQu2vJbn91LrbWFxpgA4F2gG5AOjLTWbjlaLl1gSl0zbd1ernprES4DX990Ip1iwpyOJFKt1aQLTGPMcmttV6dz/EZjrEjdlluo1kP2AAAgAElEQVRYwqszNvPNimSS9uVRL8CH6XcOomGIP79dP7w2cwvfr05hxY7M8tc1axjEf85qz57sQhYnZbB6VxZea2lSP5D/O6MdbaLqHXSel6Zv4ukp6/FxuSjyHLxmcvOIYCJC/Nhf6GHN7iMuwVGubVQ9usbWJ6FZOBf2iPnbn9t6vZR4Cpg6byw5BZmk56exKHMdG7z5NMLNDjzkuUqLvOHe0uJuroFiY+hu/WjkE8w1ve+hZfMhuH1q5gJyFVWTxtjqREVcERE5msoo4m49wmZrrW1xrOGOhS4wpS6Zvn4vV765iKjQAD69vi+x4UFORxKp9mrSBaYx5lFgrrX2e6ezgMZYETnYb31sj6Sg2MOv6/YS0yCQzjH1j+k8m/bm8s2KZAa0iiChWTgAXq/l57V7SN9fxHcrd1Pi9XJqu8b0adGQmAaBPDVlPR8sOHgJjxsGxXNJzzh2ZuYRXT+QpvUD8XW7jikblBZ5Aaz14nL74CnxUFSUxfjvruS9vIMvmdp53cT41OPuU8cTGNSQxA3fsG3fWnzdfnSIG0jbVmdhXMeeySk1aYytTlTEFRGRoznmIm51pQtMqSvmbErj0okLiAzx5+MxfWl+DIuJiNQlNekC0xiTAwQDhUAxYCj9hWmoE3k0xopITbI3p4DdmQW8NH0TUxL3/OFx53eP5vQOUezJLuCbFcnEhQdT4vWyalcWaTmFZBeUtngY0CqC+Vv2cVaXpgxsHcmO9Dy8FpqEBZBX5OG7lbtZmPT7TYm9moXz9tW9SEmexbvzn2B23k4yDBS4/rjFQxOPpcDAKYHRjBn4BA0j2uDrW3N+SV+TxtjqREVcERE5msqYiTsbmEFpr7451tqcyo349+gCU2q7H1en8P2q3czamIrLGD4e04eWjer9+QtFBNAF5rHQGCsiNVVWfjHT1u3llRmbaRtVj8XbMtiZkX/U17RpXI+wQF+WbM84qNevy4D3Dy6XIkL8ySsqoUlYAJtTyzvOMaBVBHlFHq7o04TM3e+zIn0Ku4pzaB/QlBB3BNYa/NyGFfsTyfIWs8mUUFI2y9llLU28hnEDnqBNqzOP/ZtRhTTG/j0q4oqIyNEcbXz1OdLGI7gMGABcAIw1xhQCs6y1/6qkjCJyAI/X8p+vV/P+gu24DHSKDmPsiC4q4IrUYsaYk4603Vo783hnERGpycICfTm3WzTndosu31ZQ7GH2xjSiGwTy8aIdDG7biAEtI1i5KwtrLd3iGpQfa61lZ0Y+hSUe6gf5sSV1P/4+LsKD/cguKMZaaFo/kPBgv/LjpyTu4YulO5m9KY1ZG9MAWLItg9LlProBMP+QnIG+I8kv9nB6zFK2BX7MLh+D1xh2ueHCufcSPvse2rqCyLMleKylEC/t/SM5ISSas3rfQePGnavy2yg1UM29x1ZERCqiQkVca+1WY0wBUFT2NRhoV5XBROqiohIvE2dv5blfNlBU4qV383BevyKB0ABfp6OJSNW764DHAUAvYAlwsjNxRERqjwBfN6e2bwzAQ2d3KN/eNfbwHr7GmIPWHogI8T/qextjGNoxiqEdowDYmZFHsJ8Pczan8d9v1pCaU4jLQL/4CJpHBNMg2I+o0AAWbN1HscfLwq19SdvZHYDGPlsJ991Fp+j1LHVtYC75pc11yroybCjeAxl7GPfj6PLzd/b6Eu1bj5sGPMoJJwwo3269XjyeInx8A/7aN0tERESqpQoVcY0xm4E04ANgInCLtdZ79FeJyF9RUOzhgpfnkpicTYMgXx45pwMXJcT+4SIiIlK7WGvPOvC5MSYWeN6hOCIi8jfFNCgtAA/v3JThnZv+4XGjescBkJZbyAcLtpOYnMXMDW725Ddn/eYT8Vov9Vz7cBsPxTaAIFcWJdaPZkFLSYqeSWyhYWsApHqLWOlJ56dpN+AxhhYeQwGWZHdpe4Z46+a08E4UeYr4x2njCQ6JOi7fB3GGrhxERGqvirZTGA+cCFxC6f1AM4wxM621m6ssmUgdYK3lqSnrmbspjZyCErak7edfp7bmpsHx+FTCCsoiUqPtRHe9iIjUehEh/tx6SquDtuUVlTB5eTLP/bKBk1pFkr6/CD8fF+2bhLI9vSfLlpzJfreLIo+XQreLULbTtskkVtTLY4vb4mMtrfPdYA2pfsVMyFwBwOufD+Hh6KGcd+pYJz6qiIiIHIOKtlMYB4wzxoQAVwEPATGAu+qiidRuW1JzeXByIrM2ptEtrj5xDYO4tM8JXH1ic6ejiYgDjDEv8Hs7OxfQFVjqXCIREXFKkJ8PI3vFMbJX3BH3jx3R5aDnO9LzePyHBFxrVpBHFMH+PjRq0ZAgPx+K92YTuO8nIhpOYUfgfjalhRyPjyAiIiKVrKLtFJ6hdCZuCDAX+A8wqwpzidRq1lrOmTCHnIISzu8WzVMXdtbMWxE5cKnqEuBDa+0cp8KIiEjNERsexEuje7AvtyMNj9DDt6ikP0n77mbCtE2cNSjegYQiIiJyrCraTmEe8JS1dk9VhhGpK/KKPOQUlHBRQgxPXdjlz18gIrWetfZtY4wf0Lps03on84iISM1zpAIugJ+Pi9aN6zFuZLfjnEhEREQqy1Gn/hljmgFYaz87UgHXlIqpmmgitVdWfjEA3eMaOJxERKoLY8wgYCMwAXgJ2GCMOcnRUCIiIiIiIlIt/NlM3LHGGBfwNbAESAUCgJbAYOAU4EFKF18RkQrKLigt4oYG+jqcRESqkWeA06y16wGMMa2BD4EeToTJ3JPH7s1ZNIkPY/fmLOZ/dfhapide1IrI2HrsWJvO4u+TDts/aHQbGkQFs3VlGst/3n7Y/lOvak+98AA2Lt7D6hm7Dts/dExHAkP8WDt3N+vm7T5s//BbuuDr52bV9J1sWrL3sP3n3dEdgGU/bSdpVdpB+3z8XJx1S1cAFn23lZ3rMg7aHxDiy7AxnQCY9+VmUrZkHbQ/pIE/Q67uAMCsTzaQtiP3oP31Gwcx+NK2AEx7bx2Ze/IO2h8RG8KAi0onXf88KZHcjMKD9ke1CKPveaW3PP/w6ioKcosP2h/TtgE9zyztof7NC8spKfIetL9Zpwi6nVbaS/PLZw5vrdyyRyM6DYqhuMjDty+sOGx/275NaNevCfm5Rfz46urD9nccGE2rhMbkpBfwy5trDtvfdUgczTtHkJGyn+nvHz6pPOGMZsS2Cyd1Rw6zP9l42P4+58br7x76u6e/e1X3d09qJ2vtnx8kIiI11lGLuNbaEcaY9sBo4GqgCZAPrAW+Ax6z1hZUeUqRWiYrr/SCKExFXBH5ne9vBVwAa+0GY4z+kRARERERERFMTf5tXUJCgl28ePGfHyhSzUxJTGHMu0v45uYT6RQT5nQckVrLGLPEWpvgdI6KMMZMArzAe2WbRgNua+3VTuTRGCsiIkdTk8bY6qQqx9ebP1jKmt3Z/HrHoCp5fxERqXpHG18rtLCZMcYNnAk0O/A11tpnKyOgSF1R4vHy3vxtfLFsFyH+PsSFBzkdSUSqjxuAm4Bby57PorQ3roiIiIiIiNRxFSriAt8ABcAqSmcJichfNGHaJsZOKb1T2sdleOrCzoQF6U5pESllrS00xrwITKV0rF1vrS1yOJaIiIiIiIhUAxUt4sZYaztXaRKRWuzH1Sk8/dN6+rdsyHndYrigezTGGKdjiUg1Yow5E3gF2AwYoLkxZoy19gdnk4mIiIiIiIjTKlrE/cEYc5q19qcqTSNSy1hr+Wr5Lu74ZAWN6vnz0ugeWsxMRP7IM8Bga+0mAGNMPKWLiKqIKyIiIiIiUsdVtIg7H/jSGOMCiimdIWSttaFVlkykhsvYX8R17y5mUVIGESH+fH3TiSrgisjR5PxWwC2zBchxKoyIiNR8BfkZBAQ2cDqGiIiIVIKKFnGfBfoCq6y1tgrziNQKOQXFnDl+FslZBYzsGcudp7chIsTf6VgiUg0ZY84ve7jYGPM98AlggRHAIseCiYhItWG9XrKztzNv5Ttsz9xIsG8IYFifuYEGfmEUeYs5pdX5xER1ZcGaj9iTu4sP05aR5j64fVe0B/7d8TpO7HWLMx9EqpQu1EVEareKFnF3AKtVwBX5czkFxQx9vrSA+9zFXTivW4zTkUSkejvrgMd7gIFlj1OBgOMfR0REqkJG+mYmz3uShftW4caFj3ExrySDSOtiq7v0Mqu+15LpMgxzh+Pr8mFlQSo7XV5KjraWQtEeAN5b8Qys+H1zoIEzfSLYW5xDkreAVLdhlxt2Z26pyo8pIiIiVaSiRdwtwHRjzA9A4W8brbXPVkkqkRpqxoZU7v5sBXuyC3nqgs4q4IrIn7LWXuV0BhER+euKCnP4asYDLEldzqCYQfTrejVbd8ymWXRf3vz1TprVj8fX7Y/X62Fi0rdscf8+HybCY8k3EI8f+ygu357pKi3W/lq8j0KXATeUdrKDJh7LDXHDaNKgJS+veo3z44bQt8OlhNSLAq+X7+Y+ztTdczk9ZiDxUT3o1G4ExuU6LLfXU1Kl3xdxlpZOFhGpvSpaxN1a9uVX9iUiZXZl5rNsewavz9zCip1ZADx2Xkcu6hnrcDIRERERqWwF+Rk8/tVFfFGUUr7t+6TPIenz0idLyjbmbvj9Re7SP+5o2JuhPW4iqkm38l2ekiL27l1FVFQ38vPSCAyKwLhcpKQsJ3f/XuJi+uLnX++gDH16jDks14jTnmNEBfK73BW9BBQREZHqpEIjuLX2v1UdRKSm2ZKayyPfrmHa+tTybSN7xnLHaW2IrKf+tyIiIiK1gddTwsLlE5mz9Ud25acyzZNJiTE09xi6B0Zx6+kvsXD1+yzevYDUoiz8jQ8R/vVpUT+ezIJ0NmRt5R+97qJV/NAjFlDdPn40adoDgKCQRuXbo6K6HrfPKCIiItVfhYq4xphpHKFPurX25EpPJFJDzNiQyrT1qQxoFcHo3nF0ia1Pk7BAp2OJiIiIyDHIzNjKqo3f8Pjq12lgfNlji9hTtkBYpMfSxx3CeS2GM6T//eXtCoae9CBDnQwtIiIitV5F76W584DHAcAFgJopSZ2WlV/av+ytq3rhdqn7lIgcG2PMZmA+MAuYZa1NdDiSiEidUFJcwIxF4/hw42csoOD3HW5we0qIMn4MCYzm0v4PEB3d62+do6DYwyPfrqFp/UDGnNQCH7eL2z5aRrC/D8M7N6FffMTfet8tqbnUC/A97C6wzLwi1qXk8MOq3XSOqc+ZnZswff1esvNLuLBHDC797CoiIlLjVLSdwpJDNs0xxiysgjwiNUZWfjH1/H1UwBWRytIe6A0MAMYaY9oAK6215zkbS0Sk9rFeL3MWT2BXxkY+T57JWpcHgHCvpYM7hK71WxEf0ZFT+t1zTOdJzSkksp4/D36dyMeLdwAwdsr6g475YMF2ru7fnI7RoZzZuQlLtmXQs1k4BvBx/74wmbWWr5bvYuHWdM7q0pT7v1hF0r68CqTYxh2frih/tj09jztPb3NMn0tERESOv4q2Uwg/4KkLSADCqiSRSA2RnV9CaKCv0zFEpPbwAMVlf3qBvWVfIiJSCazXS1bWNjKztvPkjHuYzf7SHS54sOkQzjnpEXz9gyv2XtZiLeUzWndm5PHsTxuoH+THbae04otlO5lZ1nrrQGd3acrkFcnlz7+79UTOHD+bSXO2AnD7JysOOj4+MhhjDJv25hIa4EN2QenNkB8u3FF+TJOwAHZnFXCoPi3C6RcfQVGJl5/WpLBhTy6dY8K4WIvv1l6HNUAUEZHapKLtFJZQOiQYSi8wk4B/VFEmkRohK79YRVwRqUzZwCrgWeB1a+0+h/OIiNQoJcUFeL3F+PnXAyA/L50vZz7AO8kz2eU++Fi3tVweHM8Joc3oGj+U1i2HVfg81lrOmTCHlTuzjrj/t4LsoV4e3Z1hnZow/pJu7C8sIcjPjTGGufeezD2fr2TWxrTDXrM5dX/5Yx+3i37xDUloFs6HC7czokcMt53aCn+f0g+XllvI8u2ZDGwTSVGJl2D/3y/1NPNWRESk5qtoEfce4EdrbbYx5gGgO1CRe3dEaqV35yXx67o9f7t/mYjIEVwCnAjcCFxjjJkLzLTWTnU2lohI9fTV1Hv4bPvPNPQJpMjrYb7NpcSUzoxt5LHsLVuMjEMKuCcSzJiEW+nacdRfPmdS2n7OenE2OQWHLw/Sp0U4oQG+/LRmDwNbR9I9rgFX9DuBzLxiSryWlo1Cyo89sMDatH4g7/6jNwBFJV58XKZ8hu+mvbks2VbaPiHI7/fX3D6k9WHnjwjx59T2jQHwPaANg9QtxqjVm4hIbVXRIu6/rbWfGGNOBE4GngZeprR3n0id8dmSnXy0cDuLt2UQFujLLSe3dDqSiNQS1tqvga+NMW2BYcA/gbuBQEeDiYhUM5kZW3ny+6v5tiSNACwF3tLFZjmgeJVnSmfb3tqwF6d1u46oxl3JzNxKRGS7v3y+7fvyuHzSAiLr+bMoKQOAS3rF8dDZ7fH3cbNhTw6+bhfNI47ciqF+kF+Fz+Xnc3DxtWWjkIOKvyIiIlJ3VbSI6yn780xKb/H8zhjzaBVlEql21iRn8/XyXbw6cwsBvi4u6RXLf8/ueNgP2iIif5cx5nOgC7AZmAlcDixwNJSISDVgvV5yc3eTuPFbvl3/KV8X7wHg4oBY7jn/M1zGh207ZhHdJAH/gD9etuOvFHCttXy4cAcPfL0aj7e00WjSvjx8XIYHz+7AZX1OKD+2deN6f/OTiYiIiFRcRYu4u4wxrwJDgCeNMf6ULnAmUmt5vZaZG1OZt3kfr87cAkDPZg344No+ukVNRKrC48Aya63nT48UEanlPCVFfPLL7byRPP33tghlfK3ljW53073L5eXbWjQ/5ZjOV1TixZjf2xCsS8nh/i9Xle9/9NyOXNwzVj8DioiIiGMqWsS9CBgKPG2tzTTGNAHuqrpYIs7aX1jCf79J5JPFO4HSW9kmjOpOq0Yh5T3KREQqk7V2sTGmozGmPRBwwPZ3HIwlInLceT0l3P/xaXxfsg/chr4E4m98SGjYkS5xA+nS4RKMq/KKqRv25HDm+FkUe+xh+05sGcG4kV1pGOJfaecTERER+TsqVMS11uYBXxzwfDewu6pCiTjJ67Vc8PJc1qXkcEanKP51amtaRIbgVvFWRKqQMeZBYBDQHvie0r64swEVcUWk1ivIz+C+z87CZQw/eTIBGGxCuf+0CURFda2y8xaVeBk2blZ5y4QDxYUH8e4/emmhKBEREakWKjoTV6TO2JNTwLqUHC5OiOWx8zrio9vmROT4uJDSnrjLrLVXGWMaA+85nElEpMp8M+3f5BZm0qJRZ55cMYGNLm/5vuYew9hR3x+1x+2xyMovJjkzn3oBPni8llG94/jfeZ2A0l/oF5Z4cblQAVdERESqDRVxRQ6RlV+6wvFJrSNVwBWR4ynfWus1xpQYY0KBvUCs06FERCrbzp3z+XHZK4xLX1K6Yc8McMEI/2iu6v8AqembD+p3Wxnmbk7jP18n0i++IT1OaMBtHy0/aP/gNo3KH7tchkA/d6WeX+R4sBw+o1xERGoPFXFFDpGdXwJAWKCvw0lEpI5ZbIypD7wOLAFygXnORhIRqTw52bu456sLmGX3A9DL+tM6uCl7CzO4usc/6dDuAgBiY/tXyvkmzt7Ki79uJCOvuHzbpr25vDNv22HHtm8aWinnFHGa5o6LiNReKuKKHOK3mbgq4orI8WJK79d93FqbCbxijPkRCLXWrqzg64cC4wA38Ia19ok/OO4C4DOgp7V2ceWkFxH5cykpy7nxhyvY6PJypk8EZ7Q8mxMTbsHl/uuXI9ZaZmxIxWstOQUlnN4hir3ZhezNKWD5jkzaRNVjb3Yhj3y75qDX3XV6G87o1ISf16TgMoaLe8YS7OdD2v5CGtUL+IOzSV2m8VVERKoTFXFFDrEnuwCA0ED97yEix4e11hpjvgc6lT1PquhrjTFuYAIwBNgJLDLGTLbWrjnkuHrAbcCCysotIlIR0+Y9za0b3sbPWJ5veSkn970b4/rrLase/2EtAJEh/jz63dry7VGhAaSU/fx2qHEjuxIfGUKrxiH4+5S2SLjupPiDjlEBV45E46uIiFQ3qlKJHCC3sISHJicC0CDYz+E0IlLHLDXG9LTWLvqLr+sFbLLWbgEwxnwEnAOsOeS4R4AngbuOOamISAVs2PQDqRmbuXXD2wDcGTWIU/rfW+HXF5Z4mLw8ma6x9fm/r1azcGv6QfvvHtoGH5fh8yW7SMku4KTWkaRk5ePv46Z5RDC3ndqK+MiQSv1MUqdofBURkWpFRVwRIDE5i+9W7ub9Bdsp8VoeP78ToQFqpyAix1VvYLQxZhuwn9K2dtZa2/lPXhcN7Djg+c6y9ypnjOkOxFprvzPG6CJTRKqUp6SIcV9dzJv7NwFQz2t5ov0/GNDztoOOW5eSTYnH0jE67LD32JdbyICnppFX5CnfFhcexP1ntCM1t5D+8Q1pUVagvXZAC7Lyi6kfpF/AS6XS+CoiItWKirhS52XsL+KKSQvZt7+IsEBfnji/EyN7xTkdS0TqntOr4k2NMS7gWeDKChx7HXAdQFyc/h0Ukb/u9cmX81L6UkpM6fJKlwe14LITHyKsYWfenLuNlTsz2ZaeR4nHsjo5C2shwNfFae2j8Hgto3rHsTurgDs/XVH+nv88tRV7cwp58Kz25S0RDmSMUQFXjjuNryIicrypiCt12q/r9nDT+8so9nj5/tYBtGuilYlFxBnW2sOXS6+YXUDsAc9jyrb9ph7QEZheun4aUcBkY8zZhy6+Yq19DXgNICEhwf7NPCJSRy1Y+hrjM5bR0rq5LGYI5wz6H26f0uLqx4u28/C3a3AZ6BbXgLyiYjpFh7FyZxYFxV4mr0gG4LtVu8vf79mLujCgVSSR9fwd+TxS52l8FRGRakVFXKnTnvt5IxbLuJHdVMAVkZpqEdDKGNOc0ovLkcCo33Zaa7OAiN+eG2OmA3dq9WwRqSy5ObspLs7j3uXjcbugresmNpWcxJVvL6NZw2Aa1fPnmZ83EBrgw9IHhuDj/n1Rs/2FJfj7uCjxWrbty+OTxTvYkZ7H/87vRESIirfiqBo3vlqVh0VEajUVcaVO25dbyPDOTTmzcxOno4iI/C3W2hJjzM3AFMANTLLWJhpjHgYWW2snO5tQRGqrwoIsJv14Iy9nrsDPQokLGm87hw/zo2HtZgBmbUwrP/7fZ7Y/qIALEOxfejni44Y2UfV4YHj74/cBRI5C46uIiFQ3KuJKnZaVX0xYoBYwE5GazVr7PfD9Idv+8wfHDjoemUSkdvKUFDF13lO8t/lLlpmi0o3GEFNk8O4dzFZ7Eon/PYXsgmIKi72k5hbi9Vpiw4NoWj/Q2fAif1FNHF/L2lH/P3v3HR9Fnf9x/PVJCEmAEHoPBBDpPRRBsGJX9MQGopwc9nLq3WE79Tzv7PXEdieCDVQsgGdDReGUFnpHmiT0EhJCElL2+/sjC7+IJCSwm9ls3s/Hg0eyszOz7/3OhJn57He/IyIiYShoRVwzSwDeAhoCDnjdOfeCmdUB3gcSgY3A5c65NCscSOgF4DwgCxjhnFsQrHwieQU+9ucWUDNGRVwRERGRo8nLy2L0xLOY5ksHgw6+SBpGVmfW2htYlFuXFnWr8dY13ageXeVQD9vEetU9Ti0iIiISHoLZEzcfuNs5t8DM4oD5ZjaNwrt3fuuce9zM7gHuAUYD5wJt/P/6AK/4f4oExb6cfADiY9UhXURERKQkO9J28fgnVzAtMp2qPkfzLQNZz+9YD+zKO8C0OwfSpmGc1zFFREREwlbQqlfOua3AVv/v+8xsJdAUGAyc6p9tPPA9hUXcwcBbzjkHzDazWmbW2L8ekYDatDuLP324GID4auqJKyIiIlKS+yZdwJyq++m2txYzt/6FqvHVaNegBqlp2dx55okq4IqIiIgEWbl0QTSzRKA7MAdoWKQwu43C4RagsMCbUmSxVP+0XxVxzex64HqA5s2bBy2zhK/Pl27lvk+Wkl/gOK9zI05qVe/oC4mIiIhUUuP/O4o5VfdzSlZznrt1KgU+hxlEV4n0OpqIiIhIpRH0Iq6Z1QA+Av7onMuwIiOtO+ecmbmyrM859zrwOkBSUlKZlpXKKys3H+fg6xXbuPP9xcRFV+HZy7tyVsdGXkcTERERCRnO5+O/Mx6iQXwLenW9joVL3+HpXbMBOKHp9URFRhCl2q2IiIhIuQtqEdfMoigs4L7rnPvYP3n7wWESzKwxsMM/fTOQUGTxZv5pIsds+ZZ0/jZ1BXM37Dk0rUFcNJ/dfjIN4mI8TCYiIiISeiZ+fTv/3P5D4YMlLwDQoMDBpitI6NTTw2QicjROXZxERMJa0Iq4Vtjl9g1gpXPu2SJPTQGuBR73/5xcZPqtZjaRwhuapWs8XDlWKXuyuPbNuazfuR+A8zs3pmtCPDFRkVzSvSlxMRoHV0REROQg5/Px4bQ7eWbr97T2RdA9pjnJBzZxTu2OtGl5L9evSaFJrVivY4qIiIhUWsHsidsfGA4sNbNF/mn3UVi8/cDMRgK/AJf7n/scOA9YC2QBvw9iNgljaftzufCl/5GX7+PGU1oz/KQWNNVFh4iIiFQy6dl5RFeJIC0rl7rVo9m8N5s9+w/QtVktqkRG/Gresf/9A8/vmUenA1VZk3ITy1xTLujSmAYJ9bh+4hIAmtXW+ZRIqDPs6DOJiEiFFLQirnPuf1DsEeSMI8zvgFuClUcqj1Xb9rE3K4/bTz+Bu85q63UcERERkXKXlZvPoGd/YMe+A795rlHNGM7q2JBNW1ZTs+qL1I6N5usDW+iQXZV5qQ9zZvumxERF8OmiLXy6aAsAI/olqogrIiIi4qGg39hMpLxl5OQB6KZlIiIiUint3HeAm9+dz459BzipVV0a1Ixm8qIt/OHklnRNqMX9nyzl7Vnr6Jv4D6ZXydhlzMEAACAASURBVIM8iDTYs/takh84h/jYKMyMe89rz/aMHFrWq66hqEREREQ8piKuhJ307MIibnysLjZERESk4jl4Y9b+retxSfemNK9bDSg8x7n34yVs2pPFgxd0pHfLOkdc/u4PF5P8Sxq3nNaaP5/dDuccN57SmnaN4jAzWtarzuTptzCxII/LI7rw845dbN53Mk+NvJZa1aoeWk/DmjE0rKkbwYqIiIiEAhVxJexk+Iu4NVXEFRERkQpia3o2r36/jltPb8Mr369jwS9pzNu4h1d/WMd/bz+ZFnWrc9/HS/lq+XYa1Yzh8tdmcWb7hjx3Rddf9ZJdtjmdGWt2cv957Rk1sBUAZkb7xjUBmD3/NZZs/h+T8hdxemQ89w99i8+WbefEhjVo16imJ+9dRERERI5ORVwJO4tS9gIQF63dW0REREJfenYef5y4iDkb9rBq2z4WbErjmpMSubZfCy566UdGvDmP2tWiWJyazuhz2nFV7wTe/HEjL01fyxWvzeavF3TgpNZ1WZSyl1vfW0B0lQguT0r41WvsTdvAa9Nu553sjQA09xmPXPwuEZGRXNS1iQfvWkRERETKQlUuCRvjf9rIRwtSWZKaTqOaMURE6M6sIiIiEtqWpO7lsldncSDfxykn1ueHNTuJj43i2n4taFG3OmOG9uDpr1eTm+/jiUs7c0Wv5gDcOehEujevxW0TFnLVv2fTr3Vd5v+SRq1qUTx6cSfiq/36G0n3TLmSH8ni0qqNGd77zyQ060vV6Dgv3rKIBInDeR1BRESCSEVcqbDW78xkzPR17D+Qj885pq3cTtuGcVzQpTF3DjrR63giIiIiRzVhbgqREcZHN/WjR/NarNiaQev6NYiJigTg5Db1OLlNvSMue2rbBsy7/0yenbaGcT9tpGuzeF65uif1akQfmic9fROf/fQYP5LFdTVO5M5LPyqX9yUiIiIigaUirlQ4BT7HmOlree6bNTgHJzasgWGc3rYBz1/ZTXdPFhERkQohr8DHl8u2cmb7hvRsURuAjk3iy7SOmKhI7juvPX85uy1VIiMOTc/K2sXcJeN5csU4UiKhjS+C4QMfDWh+EQk9pi8jioiELRVxpULZlp7DXycvY9qK7TSJj+HFq7qTlHjkOzOLiIiIhKL8Ah/TVmznowWbScvK44IujY97nUULuLt2reL3Uy5jYyTUMsebXf9EUrcRx/0aIiIiIuIdFXElpDnn+GndbibM3cSPa3eRlpUHwO+6N+WZy7ti+qhZREREKpinv17Dqz+so16Nqlw/sBWnt2sQsHU7n49HPh/JVnP8sU4vzk+6nUaNuwds/SIiIiLiDRVxJaSN+2kjf5u6AoCeLWrTqUlNLurW9NBXDkVEREQqkvTsPN6etZHzOzfmhSu7/aoH7fHKz8vhjc9HMd1l8KcGJ3Ht+f8O2LpFRERExFsq4krIcM6xYdd+CnyOHfsO8NJ3a5m1fjedm8bz+jU9aRwf63VEERERkeMyce4m9ucWcNOprQNawAV4YfJVjNu/lr7EcvXZYwK6bhERERHxloq4EhKWpqZz7ydLWLY541fTL+jSmCcu7UL1aO2qIiIiUrHl5vt488eN9D+hLp2alu0GZsVxPh/bty9mV9pa3sr8mcFVG/H3K7/GIgJbIBYRERERb6kyJp5bsSWDq/49m8wD+VyRlMCAE+sB0KFxTVrVr+FxOhEREZHA+GzJFrZl5PDYpZ0Dsr6C/Fw++u4v/H3rtwA08MHoC8argCsiIiIShlTEFU99vnQroz9aQlZuPpNv6U/XhFpeRxIREREJivfmbOKEBjU49cT6x7yOjPQUXvzyBhZnbWYjBeREFN7k9TSryQ0n3UVczaaBiisiFYxzXicQEZFgUhFXPLM3K5eb310AwJRb+9OlmQq4IiIiEp4ycvJYmLKXm09tjZkd0zpyD+zjpo8vYoXlkRRRjTOrVGflgd3c1/12enf/Q4ATi4iIiEgoURFXPLNnfy4A/7ikkwq4IiIiEtbmrN9Dgc/R/4R6x7yOqTMeZklEPk8mDuHcUx4OXDgRERERCXkq4opn0rPzAGgcH+NxEhEREZHg+nHtLmKjIune/Ng+uM7Py2F8yjTaWyTnDHgwwOlEREREJNTprgfimYycfADiY6M8TiIiIiISPM45ZqzZSe+WdYiuEnlM6/jg27vZEOkY1eZy3bhMREREpBLSGaB45mBPXBVxRUREJJx9vnQb63ft56KuTY5p+ZzsNF7Z+gN9iOHMfvcEOJ2IiIiIVAQq4oonNu/N5vYJCwGoGaMiroiIiISn3HwfT321irYN47i4e9NjWsfUmY+wN8K4oetN6oUrIiIiUklpTFwpd9NX7+Cej5YAcOtpJ1A/LtrjRCIiIiLB8Z//rWfj7izeHNGLyAgr07Lpezfy0+JxvLh5Gh2pQlKXEcEJKSIiIiIhT0VcCbqd+w6QeaBw/NvPl27lqa9WA/Dq1T05p1MjL6OJiIiIBE3Knixe/PZnzunYiNPaNSj1cr6CfD6dfg/PpXzJ3gijNvDE6f9SL1wRKZHzOoCIiASVirgSFM45/rd2F+N+3Mh3q3fgipxRdEuoxatX96RRfIx3AUVERESC7P15KeTm+3jwwg5HnTcnO42Pf3iAlvU788rSf7PQculh0dze7XbatjqLGnGNyyGxiIiIiIQqFXEl4Hbsy2HU+GQWp6YD0LtlHa5ISiAywoiMMM5o34BqVbXriYiISPhyzjF1yRb6n1CPJrVijzr/B9NH89TOWbB9BrWc45GE8xh86j+JiNQ5k4iUnlnZhm0REZGKQ2eFEjCfLdnCY5+vYvPebACu6p3An89uR53qVT1OJiIiIlK+lqSm88vuLG459YSjzusryGfitll0sEiuSDiT03veQq3aLcshpYiIiIhUFCriynHZlXmAOyYuJDUtm192ZxETFcGIfolc2LUxPVvU8TqeiIiIiCc+nJ9CVKRxdsejj/8/6ds/kRIJTyZezLmnPBz8cCIiIiJS4aiIK8fM53Pc/cFi5m7Yw6AODRnQph53DWqrnrciIiJSqW3ctZ+Jc1O4LCmB+GpRJc7789oveXzLN/SzapzV/75ySigiIiIiFY2KuHJMZq3bzb0fL2Hj7izuGnQit5/RxutIIiIiIiHhqa9WU7VKBHcOOvr50TvznqGKg8cvmkBkFX0QLiIiIiJHpiKulNmOjBxueDuZjJx87jijDbeedvSx3kREREQqgy17s/li2VZuOKU1DeJiSpw3Iz2Fz3O2cn5ME2rXaV1OCUVERESkIlIRV8pke0YOZz8/gwP5Pr67+xRa1a/hdSQRERGRkPFBcgoOGNq7eYnzbdmSzJ++GkVOhHFFj1vKJ5yIhDXnvE4gIiLBpCKulNp3q7bzh/HJOOD14Ukq4IqIiIgUkVfg44N5KQxoU5+EOtWKnW/B4re4bcGT+IBnWw+lfdvB5RdSRERERCokFXGl1Gat243PwZsjenFauwZexxEREREJCTl5BSzfks4TX65mS3oOjwzuVOy8u3at4u75T1Ib4+UzX6F585PLMamIhDvzOoCIiASNirhSaunZeTSIi1YBV0RERMQvbX8ug8f8yKY9WcRGRfLs5V05s0PDYuf/17TbyIiA105+UgVcERERESk1FXGl1DKy84mPjfI6hoiIiEhIcM7x50lL2JqezfNXdGNAm3rUrRFd7Px5eVl8k7OVs6s24MQTzi3HpCIiIiJS0amIK6WWnp2nIq6IiIgIkF/g46Epy/lm5XYeOL89F3dvetRlkpe8RUaEcWbLc8ohoYiIiIiEExVxpVSWbU4nJS2Ltg3jvI4iIiIi4ql9OXnc8t5CZqzZyQ0DWzHy5JalWu6bnz8l1ufo131UkBOKiIiISLhREVeKtWd/Lv9dsoVJ81NZnJoOwJntix/jTURERCTcpaZlMXJcMut2ZvLY7zpzVe/mpVpuzdov+CQnlXOjGxITWzvIKUVEREQk3KiIK0e0LT2HC/71P3ZlHqBqlQgu69mM4Se1oGOTeK+jiYiIiHhiccpeRo5P5kB+AeN+35uT29Qr1XK+gnwemHkvccDd57wW3JAiUok5rwOIiEgQqYgrv7Ir8wAvfbeW9+ZsIt/n46Wh3Rl4Yn1qxmgsXBEREam8cvIKGDk+mZioCCaM6kObMgwxNX3206yMKOCfzS+mTp0TgphSRERERMKVirhySNr+XEa8OZdVW/fRsl51/nJOOwZ10PAJIiIiIhPmbmJX5gHev75vmQq4zufj9TUTSXBw7skPBDGhiAiYeZ1ARESCRUVcAWDL3mzOfWEm6dl5/OOSTgzr08LrSCIiIiIh4UB+Aa/9sJ7eLevQp1XdMi079fsHWBFRwCNNz6FKVEyQEoqIiIhIuIvwOoB4b/KizZzy1HT25eTx5oheKuCKiFQgZnaOma02s7Vmds8Rnr/LzFaY2RIz+9bM9J+8SBk453jm6zVsy8jh9tPblGnZ3bvW8MQvU+juqjL4tMeClFBEgkXHWBERCSUq4lZyKXuyuPfjpdSpXpU3RvTitHYNvI4kIiKlZGaRwBjgXKADcJWZdThstoVAknOuCzAJeLJ8U4qULCs3n0Upe/lgXgoLN6V5HedXMg/k87epK3h9xnqu6t2c/ieUrRfulNlPkBFhPDTgcSIi9QU4kYpEx1gREQk1OpusxP67ZCt/m7ocAz66qR/NalfzOpKIiJRNb2Ctc249gJlNBAYDKw7O4JybXmT+2cDV5ZpQxC+/wMfG3Vms3raP1dsyWLVtH6u372PTniyc/4bqbRrUYNpdp3gblMLety9/v45Xv1/HvgP5jOiXyEMXdsDKONjk97sW0c5F0Lr1oCAlFZEg0jFWRERCioq4lVDKniz+NnU536zcQdXICJ65vKsKuCIiFVNTIKXI41SgTwnzjwS+CGoiEb99OXl8mJzK8i0ZrNqWwc87MsnN9wEQYZBYrzodm9Tkd92b0bZRHDN/3smEuZvIySsgJiqy3HJ+tmQL//zvSp67otuh8W7/9d1anp22hkEdGnLTqa3p0bx2mde7N20DizjAqFqdAh1ZRMqHjrEiIhJSVMStBNKz85i8aDPZuQVMnJfChl37ATizfQOeu6IbcTFRHicUEZFgM7OrgSSg2G6OZnY9cD1A8+bNyymZhKOFm9K4Y+IiNu3JokFcNG0bxXHtSS1o26gm7RrFcUKDGr8p1Pqc4905m1izfR9dmtUql5wfzEvhno+X4HNw94eL+fKPA3lr1kaenbaGS3s046khXYiIOLZbvc9c9B98Zpza9tLAhhaRkHO0Y2x5HV8PfqtBRETCU9CKuGY2FrgA2OGc6+SfVgd4H0gENgKXO+fSrPC7aS8A5wFZwAjn3IJgZatMnHPc/cEivlm5A4CYqAiu7JXAtf0Sad+4psfpRETkOG0GEoo8buaf9itmdiZwP3CKc+5AcStzzr0OvA6QlJSkS0EpswKf45Xv1/LcNz/TqGYMk248iaTEOqVa9uB5ycqtGcdVxM3OLSC26tF78r4z+xce+HQZA9rU4/qBrbhm7FwueHEmG3dncVHXJjxxaedjLuACfJP6PQ0KHB3aXnLM6xARTwXsGKvjq4iIBEIwe+KOA14C3ioy7R7gW+fc4/67e94DjKZwsPg2/n99gFco+asqchQ5eQUsSU1nSepevlm5g3vObcewPs2Jiowo168oiohIUM0D2phZSwovLK8Ehhadwcy6A68B5zjndpR/RKksNu/N5s73FzF3wx4u6tqERy/pRM0yfNunRZ1qVKsaycqt+445w4w1Oxnx5lwuT0rgvvPbF/v6784pLOCe0a4BL1/dg+gqkVw/oBWvzVjPqAEtuffc9sdVwE1P38TMgnSujGutG5qJVFwV8hhbxqG7RUSkAgnaWaVzboaZJR42eTBwqv/38cD3FBZxBwNvOeccMNvMaplZY+fc1mDlC1dp+3OZsngLz05bQ3p2HgDdEmoxakArIo/jYkREREKPcy7fzG4FvgIigbHOueVm9giQ7JybAjwF1AA+9N+UaZNz7iLPQktY+m7Vdu58fzH5BT6evbwrl3RvWuabgEVEGG0bxbFya8Yx53jx25+pHl2FD5JT+H71Tp6/sht9/ePcHvTenE3c/8kyTi9SwAX4yzntuKRHU9o1Ov5vKn0770XyzDi/0zXHvS4R8YaOsSIiEmrKu2tAwyKF2W1AQ//vRxo0vimgIm4ZzN2wh6v/M4fcAh81Y6pw77nt6NQ0nh7Na6uAKyISppxznwOfHzbtwSK/n1nuoaTSyC/w8ey0Nbz8/To6NK7Jy8N6kFiv+jGvr33jmny2eAvOuTIXgedt3EPyL2n87aKOdEuoxZ0fLGLkuHl8eGM/OjQpLMy+N2cT932ylNPbNeCVIgVcgMgIC0gBF+DzzT/QogANpSBSwekYKyIiocSz73c555yZlXk8IN105ci+Xr6N0R8toUHNaO45tx1ntm+oYRNEREQkaHbsy+H2CQuZvX4PV/VO4KELOx73uUf7xjV5b84mtqTn0LRWbJmWfXn6WupUr8rlSQnEVo3kvT/05eIxP3LduHn8a2h3PpiXwofzUzmtbf3fFHADacf2Zcx12dxQuzMWERGU1xARERGRyqe8zyy3m1ljAP/Pg+MGlWrQeCgcFN45l+ScS6pfv35Qw1YUP63bxfVvzyctK48nL+3CBV2aqIArIiIiQTNv4x7Of/F/LErZyzOXdeWx33UJyLlH+0ZxAKzcUrYhFVZuzWD66p38vl/ioZuaNYqPYeyIXuzLyeOyV2cxZfEWRp7ckleH9wxaARfgy/kv4sw4t9uooL2GiIiIiFQ+5d0TdwpwLfC4/+fkItNvNbOJFN7QLF3j4R7djn05TF28lSe+WEWLutX4/PYBVI/WzTNEREQkeFL2ZDFy3Dzq1ojmnZF9aOsvvAZCu8aFwxms3JrBmR0aHmXuQlvTs3lk6gqqV43kmpMSf/VchyY1GTuiFzN/3sU1J7WgQc2YgGUtzufb59KeSFq1PD3oryUiIiIilUfQKn5mNoHCm5jVM7NU4CEKi7cfmNlI4Bfgcv/snwPnAWuBLOD3wcoVDgp8jhVbMvj9uLnsyswlPjaKl4f1UAFXREREgiqvwMftExfiHIz/fW+a160W0PXXiK5C8zrVWLnt6D1x9x/I56Xpaxn7vw04B3+9oD3x1aJ+M1+fVnXpc9jNzYIlJeVHlkcUcHfdPuXyeiIiIiJSeQSt6uecu6qYp844wrwOuCVYWcJFTl4B2bkF/HnSEr5ZuZ0qEcbrw3vS/4R6KuCKiIhI0D399WoWbtrLS0O7B7yAe1D7xnGs2rqvxHkO5Bcwcvw85mzYwyXdmnLnoBNJqBOcPGUxY9k7AJzRVf0RRKT8lfmGMyIiUqGo8ldBrNqWwWWvzmJfTj4Aowa05LKkBE5sGLivMIqIiIgUZ/rqHbz2w3qG9mnOBV2aBO112jeuydcrtpOVm0+1qr89VfX5HH/+cAmz1+/h+Su6cXH3pkHLUlb/27GQFgWQkNDf6ygiUkkZ5nUEEREJEhVxQ1xuvo9HPlvOO7M3Ubd6VR66sAP146I5r1NjIiJ0gBYREZHg256Rw90fLKZdozgevKBDUF+rfeOaOAert+2je/Pav3n+ia9WMWXxFkaf0y6kCrg52Wkk+zK5tEZLr6OIiIiISBhSETeEbUvPYei/Z7N+1356NK/FI4M70alpvNexREREpBIp8DnumLiQ7NwCXhrag5ioyKC+XodDNzf7dRF3d+YBHvlsBZMXbWF43xbceEqroOYoq/nL3iUnwuifOMjrKCIiIiIShlTEDVGv/bCOJ75chc/BHWe04c5BJ3odSURERMLUjDU7ee6bNdSMiSKhTiwJtauRUKcazetU48tl25i9fg9PX9aVExrUCHqWprViqRFdhZVbC29u5pxj8qIt/G3qcjIP5HPHGW24/Yw2mIXON5JWrp7MP5e+RjVz9Oo83Os4IiIiIhKGVMQNQdNWbOexL1aRWLcaj17cmZPb1PM6koiIiISpTxdu5k8fLqZJrVhy830s3JRGhn8M/oN+170pQ3o2K5c8ERFGu0ZxrNyawea92TzwyVKmr95Jt4RaPDmkS8jdDyAjPYU//HQ/McArPf5CTOxvh4AQERERETleKuKGmJk/72TUW8m0qledz+8YEPSvLIqIiEjl9Z+Z63n0vyvp26oOr1+TRM2YKADSs/NI2ZNFaloW+w8UcF7nxuWaq33jmryfnMJZz/6Az8FfL+jAiH6JRIbg/QDe+u7PZEQYb/T9B+3aXuR1HBEREREJUyrihpD9B/K556OlNIiL5p0/9FEBV0RERILC53M88eUqXpuxnvM6N+LZy7v96rwjPjaK+Kbxno3F3y2hFm/P/oU+berxz0s6k1Cnmic5jiZtzzre3ruMs6Jqq4ArIiIiIkGlIm4IefLLVWxJz+bDG06iSa1Yr+OIiIhIGMor8DF60hI+XriZ4X1b8PBFHUOuh+vF3ZvStlEcHZvUDKmxbw/35nd/Isfglv4Pex1FRATnnNcRREQkiFTEDQFp+3N56uvVvDdnEyP6JZKUWMfrSCIiIhKGsnLzufndBXy/eid3DTqR204/ISSLpJER5lkv4NLauWM5E/b9zHlV69Oq5RlexxERERGRMKcirgdm/ryT9+ZsIievAAfM/HkXBT5H78Q6/Pnstl7HExERkTC0LyeP4W/MZUnqXh77XWeu6t3c60gV2hvf30OewU0D/u51FBGRQ0LwczkREQkQFXHL2WNfrOS1H9YD0KVZYQ+TpBa1uap3cwZ3axKSvWFERESk4nvsi1UsSd3LK1f35OyOjbyOU6FlZe7gk/0bOK9qA5o3P9nrOCIiIiJSCaiIW46e/Xo1r/2wnv4n1OXJIV1pqnFvRUREpBz8tG4X783ZxKgBLVXADYCv5zxDVoQxpNMIr6OIiIiISCWhIm452bBrPy9NX8spJ9bn1at7Els18ugLiYiIiBynrNx87vloKYl1q3HXIA3bFAifpHxDog+6d77a6ygiIiIiUklEeB2gsli/MxOfgzsHnagCroiIiJSbp79aw6Y9WTxxaRedgwTAho3fs8Byubh+EhahU2kRERERKR868ywn6dl5AMTHRnmcRERERCqL+b+k8eZPGxjetwV9WtX1Ok5YeGv2Y1R1jsEnjfY6ioiIiIhUIirilhMVcUVERKQ85eQVMPqjJTSJj2X0ue28jhMWtm9fwuSczVwSk0C9empTEQktzusAIiISVBoTt5xkZOcDEBejJhcREZHg+9d3P7N2Rybjr+tNjWidfwTCWzP+ig8YcfJDXkcRERERkUpGPXHLwTcrtjN7/W6qV40kKlJNLiIiIsG1bHM6r/6wniE9m3HKifW9jhMW8vNymJy5jkFV6tCsWV+v44iIHJF5HUBERIJG3TKCaEdGDteMncuqbfsA6JZQy+NEIiIiEu7yCnz8ZdIS6lSvyl/P7+B1nLCxZMUHpEcYZ7YY5HUUEREREamEVMQNku0ZOVz26iw27cniDye35KZTW2s8XBEREQm6135Yx4qtGbw+vCfx1XTuESg/rJ1MFefo1/U6r6OIiIiISCWkIm4QOOe4/5NlbNqTxQtXdmNwt6ZeRxIREZFK4Oft+3jx27Vc0KUxZ3Vs5HWcsDIj/Wd6RsYSV1PndSIiIiJS/lTEDbCt6dk8+tlKvlm5nfvOa6cCroiIiASVc45dmbn8sns/f//vSmrEVOFvF3X0OlZYSU2dzdpIxyX1u3sdRUREREQqKRVxA8Tnczz2xUr+PXMDAGd1aMh1/Vt6nEpERETCgXOOnZkH+GV3Fht27eeX3fvZuCuLjbv388vuLDIP5ANgBi9e2Z26NaI9ThxeZix7G4BTOg73OImIiIiIVFYq4gbAwk1pTF60hXE/baRD45o8ekknejSv7XUsERERCQMFPset7y3gi2XbDk2LjDASaseSWK86vRLr0KJuNRLrVadNgxo0q13Nw7Thacb2ZBILoEWLAV5HEREplnNeJxARkWBSETcA/jA+md37cxnUoSGvD++JmXkdSURERMLEE1+u4otl27h+YCv6ta5LYt3qNK0dS1RkhNfRKoWszB3Mdfu5Kq6111FEREREpBJTEfc4Ffgcu/fncl3/ljxwfnsVcEVERCRgPkxO4fUZ67nmpBbcd157r+NUSrOWvEmeGQNbn+91FBGRo9P1qIhI2FIR9zhl5hSOQde0diwRETpgioiISGAkb9zD/Z8so/8JdfnrBR28jlNpzfjlG2r4HD06DvM6ioiIiIin8vLySE1NJScnx+soFV5MTAzNmjUjKiqq1MuoiHuc0rPzAIiPLX2ji4iIiJQkNS2LG96eT9Pasbw8tKeGTvBIQX4uM7K30q9qbaKiq3sdR0RERMRTqampxMXFkZiYqG+iHwfnHLt37yY1NZWWLVuWejldERyng0XcmjGqh4uIiMjx238gnz+MTya3wMd/rk0ivpo+KPbKC5OvZFekcV5LDaUgIiIikpOTQ926dVXAPU5mRt26dcvco1mVx+O0PaOwwdUTV0RERI6Xz+f44/uL+HlHJm+O6EXr+jW8jlRp/ff7B3kz82euiG7GGf3v8TqOiIiISEhQATcwjqUd1RP3OLw9+xdufncBDeKi6dg03us4IiIiUsE9/fVqpq3Yzl/Pb8/AE+t7HafSSk/fxD82fEx3V5XRl0zyOo6IiIiIiIq4xyI9K48x09fy10+XUa9GVf51VXdqRKtTs4iIiBy7Txam8vL367iqd3Ou7ZfodZxK7Y1pd5BpcH//RzQWrohUGM7rACIi5WDjxo106tSp1POPGzeOLVu2lHm+U089leTk5GPKGCyqPJbBW7M2MmfDHr5ato18n6NNgxp8dHM/asZoKAURERE5dgs2pTH6o6X0bVWHRwZ31NfUPLR1y3zezfyZC6s2weuh4AAAGwtJREFUoG0bjYUrIiIiUpGNGzeOTp060aRJk4DM5yX1xC2l7NwCHpy8nGkrttOhSU2eu6Irn91+sgq4IiIicly27M3m+rfm06hmDK8M60lUpE7PvPTWj3/DAbee+pTXUUREykwfAYpIZZCfn8+wYcNo3749Q4YMISsri/nz53PKKafQs2dPzj77bLZu3cqkSZNITk5m2LBhdOvWjezsbB555BF69epFp06duP7663HOHXG+oiZMmEDnzp3p1KkTo0ePBuDDDz/krrvuAuCFF16gVatWAKxfv57+/fsH5X2rJ24ppWfnAfDwhR0Z2qe5x2lEREQkHGTl5jPqrWQO5BUwYVQfalev6nWkSs1XkM+0fes5uUo8jZv09DqOiIiISMj629TlrNiSEdB1dmhSk4cu7HjU+VavXs0bb7xB//79ue666xgzZgyffPIJkydPpn79+rz//vvcf//9jB07lpdeeomnn36apKQkAG699VYefPBBAIYPH85nn33GkCFDfjPfQVu2bGH06NHMnz+f2rVrc9ZZZ/Hpp58yYMAAnnzySQBmzpxJ3bp12bx5MzNnzmTgwIEBbZeD1NWjlA4WceNj1fNWREREjp/P57j7g8Ws3JrBi0O706ZhnNeRKr2lKyexPdIYlHCa11FEREREpBgJCQmHerteffXVfPXVVyxbtoxBgwbRrVs3Hn30UVJTU4+47PTp0+nTpw+dO3fmu+++Y/ny5SW+1rx58zj11FOpX78+VapUYdiwYcyYMYNGjRqRmZnJvn37SElJYejQocyYMYOZM2cyYMCAgL9nUE/cUlMRV0RERALp+W/W8MWybTxwfntOa9vA6zgCfLPqfao4xyk9bvA6ioiIiEhIK02P2WA5/P4RcXFxdOzYkVmzZpW4XE5ODjfffDPJyckkJCTw8MMPk5OTc8w5+vXrx5tvvknbtm0ZMGAAY8eOZdasWTzzzDPHvM6SqCduKR0s4taMVd1bREREjl2Bz/HM16t58bu1XJ7UjJEnt/Q6kgDO52Naxlr6Wg1qxid4HUdEREREirFp06ZDBdv33nuPvn37snPnzkPT8vLyDvWwjYuLY9++fQCHCrb16tUjMzOTSZMmHVpn0fmK6t27Nz/88AO7du2ioKCACRMmcMoppwAwYMAAnn76aQYOHEj37t2ZPn060dHRxMfHB+V9qyJZCj6f4/OlWwGoXU1j1YmIiMix2Z15gDsmLuJ/a3dxWc9mPHpx59/0JBBvrFwzhc2RcEPT4Hz9TUREREQCo23btowZM4brrruODh06cNttt3H22Wdz++23k56eTn5+Pn/84x/p2LEjI0aM4MYbbyQ2NpZZs2YxatQoOnXqRKNGjejVq9ehdR4+30GNGzfm8ccf57TTTsM5x/nnn8/gwYOBwiJuSkoKAwcOJDIykoSEBNq1axe0923OuaCtPNiSkpJccnJyUNY9Y81Okn9JY1JyClvSCyv1A0+sz/jf99LFlohIBWFm851zSUefUw4XzGNsZbVgUxq3vLuA3ftz+fvgjlzRSzdKDSVPfjiYCfvXMX3wVGrVVu9okaPRMfbYBPP4es3YuWRk5/HpLcG5K7qIyMqVK2nfvr3XMcLGkdqzpOOreuIeQVZuPiPenIvPQa1qUYzol0jLetW55qQWKuCKiIhImTjnGP/TRv7x+Uoaxcfw8U396NQ0OF+xkmOTd2A/n2Wu47QqtVXAFZEKqyJ30BIRkaNTEfcI0rLy8Dm499x2jOifSHSVSK8jiYiISAW0/0A+93y8lKmLt3Bm+wY8c1k34qvpJqmh5od5L5IWYVzS9jKvo4iIHBf1ORIRCV8q4h5Bhv8mZgl1qqmAKyIiIsdk7Y593PjOAtbvzOTPZ7flplNaExGhq+tQ9Mn6KTQocPTrcaPXUUREREREjkhF3CNI9xdx42PVU0ZERETK7rMlW/jLpCXERkXy9sg+9D+hnteRpBg7ti/jf759jKzVnsgquoGtiIiIiIQmFXGPQEVcERERORa5+T4e+2Ilb/64kZ4tajNmaA8axcd4HUtKMGXu0/jMuDjpDq+jiIiIiIgUS0Xcw3y5bCsPfLocgJoxKuKKiIhI6WxLz+GW9xYw/5c0ruvfknvPa0dUZITXsaQEzudj8s759IyIpnnzk72OIyIiIiJSrJC6sjCzc8xstZmtNbN7yvv1d2Tk8JdJS6hVLYpbTmtNs9qx5R1BRESkzI52/DSzaDN73//8HDNLLP+U4e3Htbs4/8WZrNqawUtDu/PghR1UwK0AFi17j42RcEnzM72OIiIhSMdXEZHQs3HjRjp16lTq+ceNG8eWLVvKPF9iYiK7du36zXxTpkzh8ccfL3Fd33//PRdccEGpM5ZWyPTENbNIYAwwCEgF5pnZFOfcimC+bl6Bjye/XEXKnmw27NrPgXwfrw/vSav6NYL5siIiIgFRyuPnSCDNOXeCmV0JPAFcUf5pw4/P53jlh3U88/VqWtevwStX9+SEBjqHqCg+WT6Oaj7HoL5/8jqKiIQYHV9FRMLDuHHj6NSpE02aNAnIfBdddBEXXXRRICOWWsgUcYHewFrn3HoAM5sIDAaCWsR97Yd1/HvmBto0qEFkhPHPSzqrgCsiIhVJaY6fg4GH/b9PAl4yM3POueJWmrJrDXf8+4zgJA4jB/J97M/N59zEKBrHx/DBdPM6kpTBlznbODemMdWq6cZzIvIbQTm+BsKPa3fx9fJtv5m+bkcmDTUOu4hUAvn5+QwbNowFCxbQsWNH3nrrLVauXMldd91FZmYm9erVY9y4cfz4448kJyczbNgwYmNjmTVrFk899RRTp04lOzubfv368dprr/HRRx/9Zj6Af/3rX0ydOpW8vDw+/PBD2rVrx7hx40hOTuall15i3bp1DBs2jP379zN48GCef/55MjMzAcjMzGTIkCEsW7aMnj178s4772B2fNcKoVTEbQqkFHmcCvQJ5gs655izYQ/nd2nMmKE9gvlSIiIiwVKa4+eheZxz+WaWDtQFfvX9IDO7HrgeoHqLGJIjf3uBKIeJBIsGzFic7XUYKas4B1f1uM3rGCISmoJyfG3evPlxB1u7I5PJi4/81eAezWsf9/pFRErli3tg29LArrNRZzi35KEKAFavXs0bb7xB//79ue666xgzZgyffPIJkydPpn79+rz//vvcf//9jB07lpdeeomnn36apKQkAG699VYefPBBAIYPH85nn33GkCFDfjMfQL169ViwYAEvv/wyTz/9NP/5z39+leOOO+7gjjvu4KqrruLVV1/91XMLFy5k+fLlNGnShP79+/Pjjz9y8snHdw+GUCrilkogD4Bmxvjf9yY7ryAQ0URERCo059zrwOsASUlJ7sfrkj1OJCIiUvEdfnw93vVd2y+Ra/slHu9qREQqrISEBPr37w/A1VdfzT//+U+WLVvGoEGDACgoKKBx48ZHXHb69Ok8+eSTZGVlsWfPHjp27MiFF154xHl/97vfAdCzZ08+/vjj3zw/a9YsPv30UwCGDh3Kn/70/0N09e7dm2bNmgHQrVs3Nm7cGFZF3M1AQpHHzfzTfiXQB8CICKN6dCg1g4iISJmU5vh5cJ5UM6sCxAO7yyeeiIhIhaTjq4hISUrRYzZYDh+WIC4ujo4dOx4aBqE4OTk53HzzzSQnJ5OQkMDDDz9MTk5OsfNHR0cDEBkZSX5+fpkyHlz2WJc/klC6bfI8oI2ZtTSzqsCVwBSPM4mIiIS60hw/pwDX+n8fAnwX7PH6REREKjgdX0VEQtSmTZsOFWzfe+89+vbty86dOw9Ny8vLY/ny5UBhgXffvn0Ahwq29erVIzMzk0mTJh1aZ9H5Sqtv37589NFHAEycOPH43lQphEwR1zmXD9wKfAWsBD5wzi33NpWIiEhoK+74aWaPmNnB26a+AdQ1s7XAXcA93qQVERGpGHR8FREJXW3btmXMmDG0b9+etLQ0brvtNiZNmsTo0aPp2rUr3bp146effgJgxIgR3HjjjXTr1o3o6GhGjRpFp06dOPvss+nVq9ehdRadLzu7dDe7eP7553n22Wfp0qULa9euJT4+Pijv9yCryB8UJiUlueRkjdcnIiJHZmbznXNJR59TDqdjrIiIlETH2GOj46uIVGQrV66kffv2XscIGVlZWcTGxmJmTJw4kQkTJjB58uRSL3+k9izp+KrBYEVERERERERERETKYP78+dx6660456hVqxZjx44N6uupiCsiIiIiIiIiIiJSBgMGDGDx4sXl9nohMyauiIiIiIiIiIiIhK6KPCxrKDmWdlQRV0REREREREREREoUExPD7t27Vcg9Ts45du/eTUxMTJmW03AKIiIiIiIiIiIiUqJmzZqRmprKzp07vY5S4cXExNCsWbMyLaMiroiIiIiIiIiIiJQoKiqKli1beh2j0tJwCiIiIiIiIiIiIiIhTEVcERERERERERERkRCmIq6IiIiIiIiIiIhICLOKfEc5M9sJ/BKAVdUDdgVgPeFK7VM8tU3J1D4lU/sUL1Bt08I5Vz8A66l0SjjGxgPpZZgeavt5cTm9WmdZli3tvEebr6zbsLjntG0Dt2ywt21Jz2nbBn/Z0sxfXtsWdIz1lK5hy43ap2Rqn+KpbUqm9ile0I+vFbqIGyhmluycS/I6R6hS+xRPbVMytU/J1D7FU9uELjN73Tl3fRmmh9S2LC6nV+ssy7Klnfdo85V1Gxb3nLZt4JYN9rYt6Tlt2+AvW5r5y2vb+qeH1PaVY6PtWDK1T8nUPsVT25RM7VO88mgbDacgIiIiZTG1jNNDTTByHs86y7Jsaec92nzHsg0rwvbVtj22bahtG/xlSzN/Zd22IiIiUkrqiYs+STgatU/x1DYlU/uUTO1TPLVN+NC2DF/atuFL2za8afuGB23Hkql9Sqb2KZ7apmRqn+KpJ275ed3rACFO7VM8tU3J1D4lU/sUT20TPrQtw5e2bfjStg1v2r7hQduxZGqfkql9iqe2KZnap3hBbxv1xBUREREREREREREJYeqJKyIiIiIiIiIiIhLCVMQVERERERERERERCWGVuohrZueY2WozW2tm93idxwtmlmBm081shZktN7M7/NPrmNk0M/vZ/7O2f7qZ2Yv+NltiZj28fQfBZ2aRZrbQzD7zP25pZnP8bfC+mVX1T4/2P17rfz7Ry9zlwcxqmdkkM1tlZivN7CTtO//PzO70/10tM7MJZhZTmfcfMxtrZjvMbFmRaWXeX8zsWv/8P5vZtV68FxERERGvVMbr2EBet4bruWQgrlvN7F7/9NVmdrY37yTwAnXdGsb7TkCuW8Nl/wn2dauZ9TSzpf5lXjQzK222SlvENbNIYAxwLtABuMrMOnibyhP5wN3OuQ5AX+AWfzvcA3zrnGsDfOt/DIXt1cb/73rglfKPXO7uAFYWefwE8Jxz7gQgDRjpnz4SSPNPf84/X7h7AfjSOdcO6EphO2nfAcysKXA7kOSc6wREAldSufefccA5h00r0/5iZnWAh4A+QG/goYMHUAl9ZlbdzMab2b/NbJjXeSSwzKyVmb1hZpO8ziKBZWYX+/9u3zezs7zOI4FjZu3N7FV/ceMmr/PI0VXi69iAXLeG+bnkcV23+tvzSqAjhefsL/v3t3Bw3Net4brvBOq6Ncz2n3EE97r1FWBUkeUOf61iVdoiLoWNuNY5t945lwtMBAZ7nKncOee2OucW+H/fR+F/Zk0pbIvx/tnGAxf7fx8MvOUKzQZqmVnjco5dbsysGXA+8B//YwNOBw5eoB7eNgfbbBJwRlk+UalozCweGAi8AeCcy3XO7UX7TlFVgFgzqwJUA7ZSifcf59wMYM9hk8u6v5wNTHPO7XHOpQHTKMNBTwLvSJ9U+6cfqZfQ74BJzrlRwEXlHlbKrCzb139ONfLIa5JQU8Zt+6n/7/ZG4Aov8krplXHbrnTO3QhcDvT3Iq+UWaW8jg3gdWtYnksG6Lp1MDDROXfAObcBWEvh/lahBfC6NSz3Hb9AXLeGzf4TzOtW/3M1nXOznXMOeKvIuo6qMhdxmwIpRR6n+qdVWv5u8N2BOUBD59xW/1PbgIb+3ytbuz0P/AXw+R/XBfY65/L9j4u+/0Nt438+3T9/uGoJ7ATetMKv7fzHzKqjfQcA59xm4GlgE4UHwXRgPtp/DlfW/aVS7UcVxDgOO4EtoZdQM/5/+xWUY0Y5duMo/faVimUcZd+2D/ifl9A2jjJsWzO7CPgv8Hn5xpRjVOnPhY7zujVc2y8Q163h2jaBum4Ny/YJ4HVrWLZPEYHaX5r6fz98eqlU5iKuFGFmNYCPgD865zKKPuf/dMB5EsxDZnYBsMM5N9/rLCGqCtADeMU51x3Yz/9/pQCovPsOgP+rEoMpPGloAlQnfD6pDYrKvL9UZMV8Ul1cL6FUCgu5oHOQCqGM21cqkLJsW/94b08AXxzsCSehq6x/t865Kc65cwENcyMhT9etv6Xr1qPSdWsJdN1adl7uL5X5AmozkFDkcTP/tErHzKIoPBC+65z72D95+8Gvuvt/7vBPr0zt1h+4yMw2UniiezqFY+nU8n/NAH79/g+1jf/5eGB3eQYuZ6lAqnNujv/xJAoPjtp3Cp0JbHDO7XTO5QEfU7hPaf/5tbLuL5VtP6qoivvk+WPgUjN7BZjqRTAJiCNuXzOra2avAt3N7F5voslxKu5v9zYKj2tDzOxGL4LJcSvu7/ZUK7ypymuoJ25FUWnPhQJ03RqO7Reo69ZwbBsI3HVruLZPoK5bw7V9DgrU/rKZ/+/UUnR6qVTmIu48oI0V3nGvKoUDME/xOFO5849d8gaw0jn3bJGnpgAH7553LTC5yPRr/D0y+gLpRbqUhxXn3L3OuWbOuUQK94/vnHPDgOnAEP9sh7fNwTYb4p8/bD/Nc85tA1LMrK1/0hnACrTvHLQJ6Gtm1fx/ZwfbR/vPr5V1f/kKOMvMavs/NT7LP00qAOfcfufc751zNznn3vU6jwSWc263c+5G51xr59xjXueRwHHOveic6+nfvq96nUcCxzn3vXPudufcDc45DZVRMVTK69gAXreG3blkAK9bpwBXmlm0mbWk8IZLc8vpbQRNAK9bw27f8QvUdWtY7j9FBGR/8T+XYWZ9/e19TZF1HVWVo88Snpxz+WZ2K4UNGwmMdc4t9ziWF/oDw4GlZrbIP+0+4HHgAzMbCfxC4c0OoPAT+vMoHKQ6C/h9+cYNCaOBiWb2KLAQ/wDp/p9vm9laCr/CdqVH+crTbcC7/hPI9RTuDxFo38E5N8cK79C+gMK76S4EXqdwzLlKuf+Y2QTgVKCemaVSeLfOMv1f45zbY2Z/p/ACBuAR59zhXxkV74X7J/GVnbZv+NK2DV/atmGiEl/HBuS6tZKdS5bputU5t9zMPqCwgJcP3OKcC5d7GBz3dWu47juBum4Np/2nHK5bb6Zw/PpY4Av/v9JlqxwdvURERCRYrPAGI5855zr5H1cB1lD4Sf5mCk9ehlaSi8ywo+0bvrRtw5e2rYiISPipzMMpiIiIyHHyf1I9C2hrZqlmNtJ/p9qDvYRWAh+oUFAxafuGL23b8KVtKyIiEp7UE1dEREREREREREQkhKknroiIiIiIiIiIiEgIUxFXREREREREREREJISpiCsiIiIiIiIiIiISwlTEFREREREREREREQlhKuKKiIiIiIiIiIiIhDAVcUVERERERERERERCmIq4IiIiIiKAmSWa2bIArWuSmbUqw/z/MLMUM8s8bHq0mb1vZmvNbI6ZJfqndzazcYHIKiIiIiKhT0VcEREREZEAMrOOQKRzbn0ZFpsK9D7C9JFAmnPuBOA54AkA59xSoJmZNT/evCIiIiIS+lTEFRERERHPmdnVZjbXzBaZ2WtmFmlmvcxsiZnFmFl1M1tuZp3MrIaZfWtmC8xsqZkN9q8j0cxWmdk4M1tjZu+a2Zlm9qOZ/Wxmvf3zPWxmb5vZLP/0UUfIE2lmT5nZPH+GG/zTG5vZDH/OZWY24AhvZxgw2T9/C/9r1DOzCDObaWZnHb6Ac262c27rEdY1GBjv/30ScIaZmf/xVODKsrW0iIiIiFREKuKKiIiIiKfMrD1wBdDfOdcNKACGOefmAVOAR4EngXecc8uAHOAS51wP4DTgmSKFzROAZ4B2/n9DgZOBPwH3FXnZLsDpwEnAg2bW5LBYI4F051wvoBcwysxa+tf3lT9nV2DREd5Sf2A+gHPuFwp7z74C3A2scM59XYbmaQqk+NeVD6QDdf3PJQNHKiKLiIiISJip4nUAEREREan0zgB6AvP8tdhYYIf/uUeAeRQWbm/3TzPgn2Y2EPBRWOhs6H9ug3+oAcxsOfCtc86Z2VIgschrTnbOZQPZZjadwqEMihZkzwK6mNkQ/+N4oI0/y1gziwI+dc4dqYjbGNh58IFz7j9mdhlwI9Ct1K1ydDuAw4vPIiIiIhKGVMQVEREREa8ZMN45d+8RnqsL1ACigBhgP4XDFdQHejrn8sxso/854P/au58XnaI4juPvD8qPrJAVxmr+AGVF+bG1oFiTpWSpLPyYsiLZa0ZE/AFkMfIjGytZSFhYDoXYmJImvhb3yOMxysjk8Xi/Vvd07j3n3N3tc0/fw8eeZz/3tD/z/bdv9c3T3w5wqKomf1hsFx7vAC4mOVtVl/pu+dCzHpIsA9a05nLg/Szv+TMvgLXAVJJFdGHy29a3pM0lSZKkIWc5BUmSJP1tt4E9SVYDJFmRZKT1nQOOAVdoh3rRBZmvW4C7DRjpH/AX7Gy1dlcCW+l22PaaBA60HbckGW11eUeAV1U1DkwAG2YZ+yldWYevTrX1HwfG57jOa8C+dr0HuFNVXwPnUeDxHMeTJEnSP8iduJIkSfqrqupJkqPAzSQLgBngYJItwExVXU2yELifZDtdIHq9lUh4ADz7jWkfAXeBVcDJqnqZZH1P/wRd+YWHrd7uG2AXXeB7OMkMMA3snWXsG+2+W+0dNtLV+/2UZHeS/VV1ofeBJKfp6u0uSzIFTFTVGHAeuJzkOfCO7w8y29bmkiRJ0pDLtx/5kiRJ0vBLMgZMV9WZeRp/KV1AvKmqPs3THIuBe8DmduCZJEmShpjlFCRJkqQ/qB2YdoLuwLX5sg44YoArSZL0f3AnriRJkiRJkiQNMHfiSpIkSZIkSdIAM8SVJEmSJEmSpAFmiCtJkiRJkiRJA8wQV5IkSZIkSZIGmCGuJEmSJEmSJA0wQ1xJkiRJkiRJGmBfAGiLOb7rlcI1AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1728x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1728x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1728x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"class DataGen(object):\n",
" def __init__(self, *, wmax, expwsq, truemu, seed):\n",
" import numpy as np\n",
" import scipy.optimize as so\n",
" import random\n",
" \n",
" if False:\n",
" # { 0, 1, wmax } \\times { 0, 1 } -> 6 values -> we need 6 constraints\n",
" # 1 = sum_i p_i\n",
" # 1 = sum_i w_i p_i\n",
" # E[w^2] = sum_i w_i^2 p_i\n",
" # logging policy value = sum_i r_i p_i\n",
" # evaluated policy value = sum_i w_i r_i p_i\n",
" # we need 1 more constraint to be unique ...\n",
" # SURPRISE: just the above 5 constraints can be infeasible ...\n",
" # instead just minimize the logging policy value subject to other constraints\n",
" # this makes the distribution very difficult to lower bound\n",
" pass\n",
" \n",
" self.gen = random.Random(seed)\n",
" self.wmax = wmax\n",
" self.expwsq = expwsq\n",
" self.truemu = truemu\n",
" self.population = [ (w, r) for w in (0, 1, wmax,) for r in (0, 1,) ]\n",
" \n",
" c = [ r for (w, r) in self.population ] \n",
" A_eq = [\n",
" [ 1 for (w, r) in self.population ],\n",
" [ w for (w, r) in self.population ],\n",
" [ w**2 for (w, r) in self.population ],\n",
" [ w*r for (w, r) in self.population ],\n",
" ]\n",
" b_eq = [ 1, 1, expwsq, truemu, ]\n",
" \n",
" res = so.linprog(np.array(c), A_eq=A_eq, b_eq=b_eq)\n",
" assert res.success, res\n",
" self.probs = res.x\n",
" self.logmu = res.fun\n",
" \n",
" ewwm1r = self.probs.dot([ w * (w - 1) * r for (w, r) in self.population ])\n",
" ewm1sq = self.probs.dot([ (w - 1)**2 for (w, r) in self.population])\n",
" self.kappalowstar = -ewwm1r/ewm1sq if ewm1sq > 0 else 0\n",
" ewwm11mr = self.probs.dot([ w * (w - 1) * (1 - r) for (w, r) in self.population ])\n",
" self.kappahighstar = -ewwm11mr/ewm1sq if ewm1sq > 0 else 0\n",
" \n",
" self._expOp = lambda func: sum(p * func(w) for p, (w, _) in zip(self.probs, self.population))\n",
"\n",
" def genobs(self):\n",
" w, r = self.gen.choices(population=self.population,\n",
" weights=self.probs,\n",
" )[0]\n",
" return w, r, self._expOp\n",
"\n",
"def megasim(*, T, datagen, wmax, dt=1, alpha = 0.05, seed=4545):\n",
" import itertools\n",
" from matplotlib import pyplot as plt \n",
" import numpy as np\n",
" \n",
" cs = EmpBernCS()\n",
" cvcsscal = EmpBernControlVariateCSScale(wmax=wmax)\n",
" etamax = 10\n",
" cvcsclip = EmpBernClippedCVCS(etamax=etamax)\n",
"\n",
" wrz = []\n",
" lbz, ubz = [], []\n",
" cvscallbz, cvscalubz = [], []\n",
" cvcliplbz, cvclipubz = [], []\n",
" blowz, bhiz = [], []\n",
" \n",
" for t in range(T):\n",
" w, r, expOp = datagen.genobs()\n",
" cs.addobs(w, r)\n",
" cvcsscal.addobs(w, r)\n",
" betatlow, betathigh = cvcsclip.addobs(w, r, expOp)\n",
" blowz.append(-etamax * betatlow)\n",
" bhiz.append(1 + etamax * betathigh)\n",
" if t % dt == 0:\n",
" wrz.append(w*r)\n",
"\n",
" l, u = cs.getci(alpha=0.05)\n",
" lbz.append(l)\n",
" ubz.append(u)\n",
" cvscall, cvscalu = cvcsscal.getci(alpha=0.05)\n",
" cvscallbz.append(cvscall)\n",
" cvscalubz.append(cvscalu)\n",
" cvcliplb, cvclipub = cvcsclip.getci(alpha=0.05)\n",
" cvcliplbz.append(cvcliplb)\n",
" cvclipubz.append(cvclipub)\n",
" \n",
" fig, ax = plt.subplots(1, 3)\n",
" fig.set_size_inches(24, 6)\n",
" ax[0].plot(list(itertools.accumulate(wrz)))\n",
" ax[0].set_ylabel('sum(wr)')\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot(lbz, label='E[w]=1', color=color)\n",
" ax[1].plot(ubz, color=color)\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot(cvscallbz, label='cov(wr, w) [scale]', color=color)\n",
" ax[1].plot(cvscalubz, color=color)\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot(cvcliplbz, label=f'cov(wr, w) [etamax={etamax}]', color=color)\n",
" ax[1].plot(cvclipubz, color=color)\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot([datagen.truemu for _ in lbz], linestyle='dashed')\n",
" ax[1].set_xlabel(f'examples (x {dt})')\n",
" ax[1].set_ylabel('raw bounds')\n",
" ax[1].set_xscale('log')\n",
" ax[1].legend()\n",
" ax[2].plot(blowz, label='betatlow')\n",
" ax[2].plot(bhiz, label='betathigh')\n",
" ax[2].legend()\n",
" \n",
" pstr = ','.join([f'{v:.3g}' for v in datagen.probs])\n",
" fig.suptitle(f'expwsq = {datagen.expwsq} wmax={datagen.wmax} truemu={datagen.truemu} p={pstr}')\n",
" \n",
" return None\n",
"\n",
"def flass():\n",
" dg = DataGen(wmax=10, expwsq=2, truemu=1/2, seed=4545)\n",
" megasim(T=10000, wmax=10, dt=10, datagen=dg)\n",
" dg = DataGen(wmax=10, expwsq=10, truemu=1/2, seed=4545)\n",
" megasim(T=10000, wmax=10, dt=10, datagen=dg)\n",
" dg = DataGen(wmax=20, expwsq=10, truemu=1/2, seed=4545)\n",
" megasim(T=10000, wmax=20, dt=10, datagen=dg)\n",
"\n",
"flass()"
]
},
{
"cell_type": "markdown",
"id": "c8920334",
"metadata": {},
"source": [
"## Const R Simulation"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "0b43b8c4",
"metadata": {
"code_folding": [
1,
33
]
},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 1728x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1728x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1728x432 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"class ConstRDataGen(object):\n",
" def __init__(self, *, wmax, expwsq, truemu, seed):\n",
" import numpy as np\n",
" import scipy.optimize as so\n",
" import random\n",
" \n",
" self.gen = random.Random(seed)\n",
" self.wmax = wmax\n",
" self.expwsq = expwsq\n",
" self.truemu = truemu\n",
" self.population = [ (w, r) for w in (0, 1, wmax,) for r in (truemu,) ]\n",
" \n",
" c = [ r for (w, r) in self.population ] \n",
" A_eq = [\n",
" [ 1 for (w, r) in self.population ],\n",
" [ w for (w, r) in self.population ],\n",
" [ w**2 for (w, r) in self.population ],\n",
" ]\n",
" b_eq = [ 1, 1, expwsq, ]\n",
" \n",
" res = so.linprog(np.array(c), A_eq=A_eq, b_eq=b_eq)\n",
" assert res.success, res\n",
" self.probs = res.x\n",
" self.logmu = res.fun\n",
" \n",
" ewwm1r = self.probs.dot([ w * (w - 1) * r for (w, r) in self.population ])\n",
" ewm1sq = self.probs.dot([ (w - 1)**2 for (w, r) in self.population])\n",
" self.kappalowstar = -ewwm1r/ewm1sq if ewm1sq > 0 else 0\n",
" ewwm11mr = self.probs.dot([ w * (w - 1) * (1 - r) for (w, r) in self.population ])\n",
" self.kappahighstar = -ewwm11mr/ewm1sq if ewm1sq > 0 else 0\n",
" \n",
" self._expOp = lambda func: sum(p * func(w) for p, (w, _) in zip(self.probs, self.population))\n",
"\n",
" def genobs(self):\n",
" w, r = self.gen.choices(population=self.population,\n",
" weights=self.probs,\n",
" )[0]\n",
" return w, r, self._expOp\n",
"\n",
"def flass():\n",
" dg = ConstRDataGen(wmax=10, expwsq=2, truemu=1/2, seed=4545)\n",
" megasim(T=10000, wmax=10, dt=10, datagen=dg)\n",
" dg = ConstRDataGen(wmax=10, expwsq=10, truemu=1/2, seed=4545)\n",
" megasim(T=10000, wmax=10, dt=10, datagen=dg)\n",
" dg = ConstRDataGen(wmax=20, expwsq=10, truemu=1/2, seed=4545)\n",
" megasim(T=10000, wmax=20, dt=10, datagen=dg)\n",
"\n",
"flass()"
]
},
{
"cell_type": "markdown",
"id": "33d13bb8",
"metadata": {},
"source": [
"## T-Distributed Weights Simulation"
]
},
{
"attachments": {
"image-4.png": {
"image/png": 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}
},
"cell_type": "markdown",
"id": "0d5c1401",
"metadata": {},
"source": [
"![image-4.png](attachment:image-4.png)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "2f2fb359",
"metadata": {
"code_folding": [
1,
23,
82,
87,
95,
109,
112,
158
],
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1728x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"class TDataGen(object):\n",
" def __init__(self, *, expwsq, vpi, seed):\n",
" import numpy as np\n",
" \n",
" assert expwsq > 1, expwsq\n",
" \n",
" alpha, nu, aone, atwo, vmu, expOp = self._getparams(expwsq, vpi)\n",
" \n",
" self.alpha = alpha\n",
" self.nu = nu\n",
" self.aone = aone\n",
" self.atwo = atwo\n",
" \n",
" self.tgen = np.random.default_rng(seed)\n",
" \n",
" self.expwsq = expwsq\n",
" self.vpi = vpi\n",
" self.vmu = vmu\n",
" self.seed = seed\n",
" \n",
" self._expOp = expOp\n",
" self._expOpMemo = {}\n",
" \n",
" def _getparams(self, expwsq, vpi):\n",
" from math import sqrt\n",
" import numpy as np\n",
" import scipy.integrate as si\n",
" import scipy.optimize as so\n",
" import scipy.special as sc\n",
" from scipy.stats import t\n",
" \n",
" # w under mu is T distributed censored to [0, \\infty)\n",
" # alternatively abs(w) where w is T distributed\n",
" \n",
" def alpha(nu):\n",
" betaterm = sc.beta(nu/2, 1/2)\n",
" return 2 * sqrt(nu) / (betaterm * (nu - 1)) # ensures E[abs(w)]=1\n",
" \n",
" def meansq(nu):\n",
" return t.var(df=nu, scale=1/alpha(nu))\n",
" \n",
" nulow = 1\n",
" while (meansq(2 + nulow) < expwsq):\n",
" nulow /= 2\n",
" nuhigh = 1\n",
" while (meansq(2 + nuhigh) > expwsq):\n",
" nuhigh *= 2\n",
" res = so.root_scalar(f=lambda v: meansq(v) - expwsq, bracket=[2 + nulow, 2 + nuhigh], method='brentq')\n",
" assert res.converged, res\n",
" nu = res.root\n",
" \n",
" \n",
" # r = a1 + a2 abs(w)/(abs(w)+1)\n",
" # vmu = a1 + a2 E_mu[abs(w)/(abs(w)+1)] = a1 + a2 dmu\n",
" # vpi = a1 + a2 E_mu[abs(w)^2/(abs(w)+1)] = a1 + a2 dpi\n",
" \n",
" pdf = lambda w: t.pdf(x=w, df=nu, scale=1/alpha(nu))\n",
" dmu = si.quad(lambda w: pdf(w)*abs(w)/(abs(w)+1), -np.inf, np.inf)[0]\n",
" dpi = si.quad(lambda w: pdf(w)*abs(w)**2/(abs(w)+1), -np.inf, np.inf)[0]\n",
" \n",
" # minimize aone + atwo * dmu\n",
" # s.t.\n",
" # vpi == aone + atwo * dpi\n",
" # aone >= 0\n",
" # atwo >= 0\n",
" # aone + atwo <= 1\n",
" \n",
" c = [ 1, dmu ]\n",
" A_eq = [ [ 1, dpi ] ]\n",
" b_eq = [ vpi ]\n",
" A_ub = [ [ 1, 1 ] ]\n",
" b_ub = [ 1 ]\n",
" \n",
" res = so.linprog(np.array(c), A_eq=A_eq, b_eq=b_eq, A_ub=A_ub, b_ub=b_ub, bounds=[(0, None), (0, None)])\n",
" assert res.success, res\n",
" aone, atwo = res.x\n",
" vmu = res.fun\n",
" \n",
" expOp = lambda func: 2 * si.quad(lambda w: pdf(w) * func(w), 0, np.inf)[0] \n",
" \n",
" return alpha(nu), nu, aone, atwo, vmu, expOp\n",
" \n",
" def _memoexpOp(self, func):\n",
" if func not in self._expOpMemo:\n",
" self._expOpMemo[func] = self._expOp(func)\n",
" return self._expOpMemo[func]\n",
" \n",
" def genobs(self):\n",
" from scipy.stats import t\n",
"\n",
" w = abs(t.rvs(df=self.nu, scale=1/self.alpha, random_state=self.tgen))\n",
" r = self.aone + self.atwo * w / (w + 1)\n",
" assert 0 <= r <= 1, r\n",
" return w, r, lambda func: self._memoexpOp(func)\n",
" \n",
" def gencdf(self, nsamples):\n",
" import numpy as np\n",
" from scipy.stats import t\n",
" import scipy.interpolate as sint\n",
"\n",
" w = np.abs(t.rvs(df=self.nu, scale=1/self.alpha, random_state=self.tgen, size=nsamples))\n",
" # Even for large sample sizes, empE[w^2] is way off (?)\n",
" # print(f'empE[w]={np.mean(w)} empE[w^2]={np.mean(w*w)}')\n",
" r = self.aone + self.atwo * w / (w + 1)\n",
" sortedr, sortedw = list(map(np.array, zip(*list(sorted(zip(r, w))))))\n",
" empq = np.cumsum(sortedw / np.sum(sortedw))\n",
" f = sint.interp1d(empq, sortedr, fill_value=(sortedr[0], sortedr[-1]), bounds_error=False)\n",
" return f\n",
" \n",
" def __str__(self):\n",
" return f'expwsq={self.expwsq} vpi={self.vpi} vmu={self.vmu:.3f} nu={self.nu:.3f} alpha={self.alpha:.3f} aone={self.aone:.3f} atwo={self.atwo:.3f} seed={self.seed}'\n",
" \n",
"def ultrasim(*, T, datagen, dt=1, alpha = 0.05, seed=4545):\n",
" import itertools\n",
" from matplotlib import pyplot as plt \n",
" import numpy as np\n",
" \n",
" cs = EmpBernCS()\n",
" cvcsclip = EmpBernClippedCVCS(etamax=15)\n",
" wrz = []\n",
" lbz, ubz = [], []\n",
" cliplbz, clipubz = [], []\n",
" \n",
" for t in range(T):\n",
" w, r, expOp = datagen.genobs()\n",
" cs.addobs(w, r)\n",
" cvcsclip.addobs(w, r, expOp)\n",
" if t % dt == 0:\n",
" wrz.append(w*r)\n",
"\n",
" l, u = cs.getci(alpha=0.05)\n",
" lbz.append(l)\n",
" ubz.append(u)\n",
" clipl, clipu = cvcsclip.getci(alpha=0.05)\n",
" cliplbz.append(clipl)\n",
" clipubz.append(clipu)\n",
" \n",
" fig, ax = plt.subplots(1, 2)\n",
" fig.set_size_inches(24, 6)\n",
" ax[0].plot(list(itertools.accumulate(wrz)))\n",
" ax[0].set_ylabel('sum(wr)')\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot(lbz, label='E[w]=1', color=color)\n",
" ax[1].plot(ubz, color=color)\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot(cliplbz, label=f'cov(wr, w) [etamax={cvcsclip.etamax}]', color=color)\n",
" ax[1].plot(clipubz, color=color)\n",
" color = next(ax[1]._get_lines.prop_cycler)['color']\n",
" ax[1].plot([datagen.vpi]*len(lbz), color=\"black\", linestyle='dotted')\n",
" ax[1].set_xlabel(f'examples (x {dt})')\n",
" ax[1].set_ylabel('raw bounds')\n",
" ax[1].set_xscale('log')\n",
" ax[1].legend()\n",
" \n",
" fig.suptitle(str(datagen))\n",
" \n",
" return None\n",
"\n",
"def flass():\n",
" from matplotlib import pyplot as plt\n",
" import numpy as np\n",
" dg = TDataGen(expwsq=32, vpi=1/2, seed=4554)\n",
" rewardatq = dg.gencdf(100000)\n",
" quantiles = np.linspace(0, 1, 100)\n",
" plt.figure()\n",
" plt.plot(quantiles, rewardatq(quantiles))\n",
" plt.title('reward CDF under $\\pi$')\n",
" plt.xlabel('quantile $q$')\n",
" plt.ylabel('$z$ s.t. $Pr(r \\leq z) = q$')\n",
" ultrasim(T=100000, dt=100, datagen=dg)\n",
"\n",
"flass()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b42feccd",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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