930 lines
558 KiB
Plaintext
930 lines
558 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"import matplotlib.pyplot as plt\n",
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"import numpy as np\n",
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"import pandas as pd\n",
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"import seaborn as sns\n",
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"\n",
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"\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### System timeline\n",
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" - initial raise\n",
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" - hatch sale\n",
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" - reference implementation launch"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Augumented bonding curve Mathematics\n",
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"\n",
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"### Hatch Sale Equations\n",
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"\n",
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"- Initial Raise $d_0$ Dai\n",
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"- Initial Reserve is $R_0 = (1-\\theta) d_0$\n",
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"- Hatch sale Price $p_0$ (dai per token) determines the initial supply: $S_0 = d_0/p_0$\n",
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"- Power Function Invariant shape: $V(R, S) = \\frac{S^\\kappa}{R}$\n",
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"- Price function (DAI per Token): $P(R) = \\frac{\\kappa R^{(\\kappa-1)/ \\kappa}}{V_0^{1 / \\kappa}}$\n",
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"- Supply function (tokens): $S(R) = \\sqrt[\\kappa]{V_0 R}$\n",
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"- Reserve function (xDAI): $R(S) = \\frac{S^{\\kappa}}{V_0} $\n",
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"- The invariant coef: $V_0 = V(R_0, S_0) = \\frac{S_0^\\kappa}{R_0} = \\left(\\frac{1}{p_0(1-\\theta)}\\right)^\\kappa R_0^{\\kappa-1}$\n",
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"- The post hatch price: $p_1=P(R_0) = \\frac{\\kappa R_0^{(\\kappa-1)/ \\kappa}}{V_0^{1 / \\kappa}} = \\kappa R_0^{(\\kappa-1)/ \\kappa} \\cdot(1-\\theta)p_0\\cdot R_0^{-(\\kappa-1)/\\kappa} = \\kappa(1-\\theta) p_0$\n",
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"- The Return factor: $\\frac{p_1}{p_0} = {\\kappa}(1-\\theta)$\n",
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"\n",
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"### Invariant Preserving Deposit-to-Mint\n",
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" - Deposit $\\Delta R$ xdai \n",
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" - Conservation equation: $V(R+ \\Delta R, S+\\Delta S) = \\frac{(S+\\Delta S)^\\kappa}{R+\\Delta R} =V_0$\n",
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" - Derived Mint equation: $\\Delta S = mint\\big(\\Delta R ; (R,S)\\big)= \\sqrt[\\kappa]{V_0(R+\\Delta R)}-S$\n",
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" - Realized Price is: $\\bar{P}(\\Delta R) =\\frac{\\Delta R}{\\Delta S} = \\frac{\\Delta R}{\\sqrt[\\kappa]{V_0(R+\\Delta R)}-\\sqrt[\\kappa]{V_0(R)}} \\rightarrow \\big(\\frac{\\partial S(R)}{\\partial R} \\big)^{-1}$ as $\\Delta R \\rightarrow 0$\n",
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" - The limiting price is the spot price: $\\lim_{\\Delta R \\rightarrow 0} \\bar{P}(\\Delta R)=\\big(\\frac{\\partial S(R)}{\\partial R}\\big)^{-1}= \\big(\\frac{V_0^{1/\\kappa} \\cdot R^{1/\\kappa-1}}{\\kappa}\\big)^{-1}= \\frac{\\kappa R^{1-1/\\kappa}}{V_0^{1/\\kappa}} = \\frac{\\kappa R^{(\\kappa-1)/\\kappa}}{V_0^{1/\\kappa}} =P(R)$\n",
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" \n",
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"### Invariant Preserving Burn-to-Withdraw\n",
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" - Burn $\\Delta S$ tokens\n",
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" - Conservation equation: $V(R- \\Delta R, S-\\Delta S) = \\frac{(S-\\Delta S)^\\kappa}{R-\\Delta R} =V_0$\n",
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" - Derived Withdraw equation: $\\Delta R = withdraw\\big(\\Delta S ; (R,S)\\big)= R-\\frac{(S-\\Delta S)^\\kappa}{V_0}$\n",
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" - Realized Price is: $\\bar{P}(\\Delta S) =\\frac{\\Delta R}{\\Delta S} = \\frac{\\frac{S^{\\kappa}}{V_0}-\\frac{(S-\\Delta S)^\\kappa}{V_0}}{\\Delta S} \\rightarrow \\frac{\\partial R(S)}{\\partial S} $ as $\\Delta S \\rightarrow 0$\n",
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" - The limiting price is the spot price: $\\lim_{\\Delta S \\rightarrow 0} \\bar{P}(\\Delta S)=\\frac{\\partial R(S)}{\\partial S}=\\frac{\\kappa S^{\\kappa-1}}{V_0} = \\frac{\\kappa \\cdot (\\sqrt[\\kappa]{V_0 R})^{\\kappa-1}}{V_0}= \\frac{\\kappa R^{(\\kappa-1)/\\kappa}}{V_0^{1/\\kappa}}=P(R)$\n",
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" - Given friction coef $\\phi$ \n",
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" - sent to burning agent address: $\\Delta R_{agent} = (1-\\phi) \\Delta R$\n",
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" - sent to the funding pool address: $\\Delta R_{pool} = \\phi \\Delta R$\n",
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" - due to the friction the true realized price for the agent is $(1-\\phi)\\cdot \\bar{P}(\\Delta S)$\n",
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" - due to the friction the true return factor post withdraw is: ${\\kappa}(1-\\theta)(1-\\phi)$"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"#integer_units = 10**12 #account for decimal places to a token\n",
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"#scale_units = 10**6 #millions of tokens, million of DAI\n",
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"#mu = integer_units*scale_units\n",
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"\n",
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"#value function for a given state (R,S)\n",
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"def invariant(R,S,kappa):\n",
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" return (S**kappa)/R\n",
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"\n",
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"#given a value function (parameterized by kappa)\n",
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"#and an invariant coeficient V0\n",
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"#return Supply S as a function of reserve R\n",
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"def supply(R, kappa, V0):\n",
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" return (V0*R)**(1/kappa)\n",
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"\n",
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"#given a value function (parameterized by kappa)\n",
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"#and an invariant coeficient V0\n",
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"#return a spot price P as a function of reserve R\n",
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"def spot_price(R, kappa, V0):\n",
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" return kappa*R**((kappa-1)/kappa)/V0**(1/kappa)\n",
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"\n",
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"#for a given state (R,S)\n",
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"#given a value function (parameterized by kappa)\n",
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"#and an invariant coeficient V0\n",
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"#deposit deltaR to Mint deltaS\n",
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"#with realized price deltaR/deltaS\n",
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"def mint(deltaR, R,S, kappa, V0):\n",
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" deltaS = (V0*(R+deltaR))**(1/kappa)-S\n",
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" realized_price = deltaR/deltaS\n",
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" return deltaS, realized_price\n",
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"\n",
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"#for a given state (R,S)\n",
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"#given a value function (parameterized by kappa)\n",
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"#and an invariant coeficient V0\n",
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"#burn deltaS to Withdraw deltaR\n",
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"#with realized price deltaR/deltaS\n",
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"def withdraw(deltaS, R,S, kappa, V0):\n",
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" deltaR = R-((S-deltaS)**kappa)/V0\n",
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" realized_price = deltaR/deltaS\n",
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" return deltaR, realized_price"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"<matplotlib.collections.PathCollection at 0x1a1b8c6080>"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a19824ac8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"X= np.arange(0,12, .01)\n",
|
|
"vals = [1-1/2**x for x in X]\n",
|
|
"\n",
|
|
"vals3 = [1/2**x for x in X]\n",
|
|
"plt.plot(X,vals, X, vals3)\n",
|
|
"plt.xlabel('months')\n",
|
|
"plt.ylabel('percent vested')\n",
|
|
"plt.title('Vesting Schdule with 1 month vesting \"Half-Life\"')\n",
|
|
"plt.legend([\"Share of hatch tokens Vested\", \"Share of Hatch tokens Locked\"])\n",
|
|
"plt.vlines(3,0,1, linestyle ='-.')\n",
|
|
"plt.text(3.2,.85, str(int(1000*7/8)/10)+ \"% of tokens vested after 3 months\" )\n",
|
|
"plt.scatter(3,7/8)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"2458.387573380661"
|
|
]
|
|
},
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"10*10**6*vals3[-1]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a1ba72198>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"d0 = 1 #million DAI\n",
|
|
"p0 = .01 #DAI per tokens\n",
|
|
"theta = .25\n",
|
|
"\n",
|
|
"R0 = d0*(1-theta) #million DAI\n",
|
|
"S0 = d0/p0\n",
|
|
"\n",
|
|
"kappa = 2\n",
|
|
"V0 = invariant(R0,S0,kappa)\n",
|
|
"\n",
|
|
"reserve = np.arange(0,10,.01)\n",
|
|
"supp = np.array([supply(r,kappa, V0) for r in reserve])\n",
|
|
"price = np.array([spot_price(r,kappa, V0) for r in reserve])\n",
|
|
"\n",
|
|
"fig, ax1 = plt.subplots(figsize=(10,5))\n",
|
|
"\n",
|
|
"color = 'tab:red'\n",
|
|
"ax1.set_xlabel('Reserve (Millions)')\n",
|
|
"ax1.set_ylabel('Supply (Millions)', color=color)\n",
|
|
"ax1.plot(reserve, supp,'--', color=color)\n",
|
|
"ax1.tick_params(axis='y', labelcolor=color)\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
|
|
"\n",
|
|
"color = 'tab:blue'\n",
|
|
"ax2.set_ylabel('Price in Reserve per Token', color=color) # we already handled the x-label with ax1\n",
|
|
"ax2.plot(reserve, price,'-.', color=color)\n",
|
|
"ax2.tick_params(axis='y', labelcolor=color)\n",
|
|
"\n",
|
|
"ax1.vlines(R0,0,supp[-1], alpha=.5)\n",
|
|
"ax1.text(R0+.02*reserve[-1], supp[-1], \"Initial Value R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n",
|
|
"ax1.text(R0+.02*reserve[-1], .95*supp[-1], \"Initial Value S0=\"+str(S0)+\" million Tokens\")\n",
|
|
"#ax1.hlines(S0,0,R0)\n",
|
|
"\n",
|
|
"ax2.text(R0+.02*reserve[-1], price[10], \"Initial Value P0=\"+str(spot_price(R0,kappa,V0)))\n",
|
|
"ax2.text(R0+.02*reserve[-1], price[3]/10, \"where P_hatch=\"+str(p0))\n",
|
|
"\n",
|
|
"plt.title('Augmented Bonding Curve with Invariant V = S^'+str(kappa)+'/R')\n",
|
|
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.015"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"spot_price(R0,kappa,V0)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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GoVDkzhUxB1UU/P7772zfvp3o6Gg6derEmjVruO6667LLXS4X06dPZ/PmC7McRERE8PXXX1O2bFmOHz9Ohw4d6NOnD7nlhKtUqRLt2rVjyZIl9O3bl/nz5zN48GCEEPmW5U1aWhoPPvggixYtokqVKixYsIBnnnmGDz/88Lx648aN48Ybb6Rjx4707NmTkSNHUr58eQ4ePEiHDv+Eb6tVqxYHD5oBya+//nrOnj2LL1OmTKF79+656pSXzNq1a5+3/rfffsuxfVa9sLAwypUrx4kTJ6hc+fwsBVu2bEHXdSpWrEi9evUYM2YM69at48033+Ttt99m2rRpueqYxYABA5g+fTpTpkyhTZs2JCcnM2LECJYtW0bDhg0ZNmwY77zzDo888ghgPpgMGTKEYcOGMWzYMHRdZ8GCBaxZs4bw8HDuu+8+5s6dy7Bhw0hISKBDhw688sorPPHEE8yaNYtnn32WiRMn8sMPP1CzZk1OnTrlV0eFoqDYnO7ewJuYaVzeN1wOl095ScwYga0xY4wONlwOw+Z02zBzk+20qv5quBxjrTYrMFPXZM2B9TRcjqOFrXuRGSjdrn2ImSHzqObRm1rrKmIG47RhJvMapHn0k0WlQ160a9cuu1cRGxuLYRjnGai8kFLy9NNPs2rVKkJCQjh48CBHjhyhevXcA5sPHTqU+fPnZxuoLCMSjKwsdu7cyR9//EGPHj0AyMjIoEaNC9MdjRw5kl69erFkyRIWLVrEu+++y5YtWy7omQDZhnH16tUBHQtfcpOZmXlhtoicjHBeOnnTtm3b7H2tX78+PXuawa+bNWvG8uXBRZzZuXMndevWpWHDhgAMHz6cGTNmZBuovn378sQTT2T3qJctW8bGjRtp29YMGJ+UlETVqlUBKFGiRHavt3Xr1vz4oxlHt1OnTowYMYJBgwbRv3//oPRUKALF5nSHAjOAHphxQ9fbnO7Fhsuxw6vaaOCk4XI0sDndQzBDhg22yvYYLkdu0ddvN1yODbmUFQpF2YOagxkl/GOvdU5gmebRXbpdc1rLTxahDrlSsmTJ7N+hoaGkpwcevm3u3LkcO3aMjRs3Eh4ejs1mIzk5Oc82/fr149FHH2XTpk0kJSXRqlWrgGWFhYWdd4PPKpdS0qRJE9auXYs/oqOjGTVqFKNGjaJp06b88ccf1KpVi/37/8khd+DAAaKjo4Hge1B5ycxtfU7ta9WqRXp6OqdPn6ZixYoX1PM+fyEhIdnLISEh+TqX3uRkHL3p1KkT33//PbfddhtCCKSUDB8+nNdee+2CuuHh4dmG1fv6mjlzJr/99htut5vY2Fg2b95MpUqVgtJXoQiAdsBuw+WIA7A53fOBvoC3geqLmakZzHQq021Od6C5uIqUIpuD0jz6KiDeZ3VfzBQWWN/9imr7hUF4eDhpaWkXrD99+jRVq1YlPDyc5cuXs2+f/+S0pUuXpmvXrowaNYqhQ4dmrw9EVp06ddixYwcpKSmcPn2aZcuWAdCoUSOOHTuWbaDS0tLYvn37Be2XLFmSvR+HDx/mxIkT1KxZkz59+jB//nxSUlLYu3cvu3btol07MzXT6tWr2bx58wWfvIwTkKvMtm3bsmvXLvbu3Utqairz58+nT58+Obb/6CPzElm4cCE33nhjQMOdwVKmTJlsQ2y32zEMg927dwPwySef0KVLl+y6EydOpFKlStnel926dWPhwoUcPWqObMTHx/u9Fvbs2UP79u2ZOHEilStXPs9oKxRFQE3Oz2R8gPMzX59Xx3A50oHTQNZTU12b0/27zeleaXO6r/dpN9vmdG+2Od3PFZVBu9hOEtU0j34IwPquepG3ny/uvvtumjdvnj2kk8Xtt9/Ohg0baNOmDXPnzsVutwckb+jQoWzZsoUhQ4bkS1bt2rUZNGhQti4tW7YEzGGkhQsX8uSTT9KiRQtiY2P55ZdfLmi/dOnS7In5Xr168frrr1O9enWaNGnCoEGDaNy4Mb1792bGjBmEhoYGtC9ff/01tWrVYu3atTgcDnr1MvPw5SYzLCyM6dOn06tXLzRNY9CgQTRp0gSA559/nsWLzfQ/o0eP5sSJEzRo0IA33ngjV3f0wmLEiBGMHTuW2NhYpJTMnj2bgQMH0qxZM0JCQhg7dux59adNm0ZycjJPPPEEjRs35uWXX6Znz540b96cHj165Oik4s348eNp1qwZTZs2pXPnzrRo0SLP+oqrFykl+v/WIlNTCyImTAixwetzt095TobDd6ggtzqHgGsMl6MlZrLPz2xOd1mr/HbD5WgGXG997gx+F3KnSIPF6nbNBnzrNQd1SvPo5b3KT2oevUKOipkH+m6AEiVKtPb1pgqELE+3ESNG5LutQqFQFBWnElN5/L8/suZQMp/XPkazR8b6b5QDQohEKWVUbuU2p/taYILhcvSylp8CMFyO17zq/GDVWWtzusOAw0AVw+WQPrJWAI/7zjvZnO4RQBvD5XggqJ3Ig4vdgzqi27UaANZ3rl4fUsr3pJRtpJRtwsKKrbOhQqG4yvhl93F6T1vNynjBqLC/0e4qks5HFuuBGJvTXdfmdJcAhnBhtuLFmBmzAQYA/zNcDmlzuqtYThbYnO56QAwQZ3O6w2xOd2VrfTimM9wfRaH8xTZQ3gdiOFaq7YtFcY0kMWHCBGrWrElsbCyNGzdm3rx52WXx8fH06NGDmJgYevTowcmTgTtVBhIZYty4ccTGxhIbG0vDhg0pXz67A01oaGh2WU7zUfkh69wYhkHTpk0vKDcMg8jIyOxjMGzYsBznFxWKoiI1PZPXvtO5/f3fKFUilK/v78T4SQ8SFpVrB6jAWHNKDwA/YLqMf264HNttTvdEm9Od9af7AKhkc7p3Yw7lOa31nYGtNqd7C6bzxFjD5YgHSgI/2JzurcBm4CAwq0h2oKjeAN7RyD5vRyP7oR2N7Gk7GtkP7GhkH72jkb3Sjkb2ZTsa2XdZ3xUDkRVsJInZs2fL2bNnZy8X10gSL7zwgnz99dellFL++eefskyZMjI1NVVKKeX48ePla6+9JqWU8rXXXpNPPPFEQDIDjQzhzVtvvSVHjhyZvVxY++fN3r17ZZMmTfJcn56eLm+44Qb56aefFvr2swg0IoeieLDryFnpeGuVrPPkt/LeQc/Ig/M/LxS5qEgSwaF59KGaR6+hefRwzaPX0jz6B5pHP6F59G6aR4+xvn29/C4KxS2ShDcxMTGUKlUqu6fkHblh+PDhfPPNN/4OH0DAkSG8mTdv3nkejIHQtWtXxo0bR+fOndE0jfXr19O/f39iYmJ49tlns+vlp7cZGhpKu3btsl8gzsjIYPz48bRt25bmzZvz7rvvAmYEjs6dOxMbG0vTpk2z3w1bunQp1157La1atWLgwIGcO3cOMOP1TZw4keuuu47Jkydne0SCec6bN28O5P+cKa5cpJTM/W0fN7+9mv2HTvL8r7N5pmYSNfpf1g7Mlw3FMtQRmJEkpk2bxo4dO4iLi2PNmjXnlbtcLiIjI9m8eTNz5849rywr+sOmTZtYvnw5jz32WJ7v0HhHkgByjCQRqCxvsiJJLFy4kI0bNzJq1CieeeaZPNts2rSJmJiY7BdKjxw5kv3Ca40aNbJdppcvX549/Ob9yRpK8474AOdHjMiJffv2sXfvXm688cbsdcnJybRp04YOHTrkaRhLlCjBqlWrGDt2LH379mXGjBn88ccfzJkzhxMnTvg5SheSnJzMb7/9Ru/evQH44IMPKFeuHOvXr2f9+vXMmjWLvXv38tlnn9GrVy82b97Mli1biI2N5fjx47z88sv89NNPbNq0iTZt2vDGG29ky46IiODnn3/mqaeeIjU1lbi4OAAWLFjAoEGDgjpniiuXv+ITeXHxDlpwlv+6X6Z3hxiiX5+MCA+/1KpdERRb74PiFEkCYOrUqcyaNYu4uLhsQ5kXN9xwQ45hnrLIyYjm9b7S/PnzGTBgwHlu7H/99RfR0dHExcVx44030qxZM+rXr39B26z5qWbNmtGkSZPsfaxXrx779+8P+EXXPXv2EBsby65duxgwYEB2j2bp0qVs3bo1O9r56dOn2bVrF23btmXUqFGkpaXRr18/YmNjWblyJTt27KBTp04ApKamcu2112ZvY/Dgwdm/Bw0axOeff47T6WTBggUsWLAgX+dMceXy55GzNKxWhjqVopjf9xoiRt9GhVtvofrzzyNCim2/IN8UWwNV3CJJjBs3jscff5yvvvqKYcOGsWfPHiIiIqhWrRqHDh2iRo0aHDp0KLtntXz5csaNG3eBnFKlSvHLL7/kGTEiJ+bPn8+MGTPOW5dVv169enTt2pXff/89RwPlHSXCN4JEfs5b/fr12bx5M4cOHaJr164sXryYPn36IKXk7bffzn6Xy5tVq1bhdru58847GT9+PBUqVKBHjx7nOZp4E+U14T148GAGDhxI//79EUIQExPDtm3bAj5niiuT5Z6jjJyznveHtaZ74+q0ateE5C+/oGRMTJG+dH41okx5HlwtkSS86d+/P23atMmO1uAdueGjjz6ib9++wD89KN9P1ovAgUaGALOnd/LkyfN6GidPnsyekzt+/Dhr1qyhcePGfo9jYVCjRg1cLld2iKJevXrxzjvvZJ/rP//8k4SEBPbt20fVqlW56667GD16NJs2baJDhw6sWbMmO9pEYmIif/75Z47bqV+/PqGhobz00kvZPatgzpniyiAtw3yIvC6mMk/2iKHuzEmcsoauIxo2VMYpCJSByoOrJZKEL88//zxvvPEGmZmZOJ1OfvzxR2JiYvjxxx9xOp1+2wMBR4YA0zliyJAh5/1BdV2nTZs2tGjRghtuuAGn03nRDBSYPdrExERWr17NmDFjaNy4Ma1ataJp06bcc889pKens2LFCmJjY2nZsiVffvklDz/8MFWqVGHOnDkMHTqU5s2b06FDBzweT67bGTx4MJ9++imDBg0Cgj9nissXKSWfrDXo8cZKTiWmEpqaguOzyaQuXULmmQvjWSoCp0gjSRQWUVFRMpiU7yqShEKhKEqOn0vhiYVb+Z/nKF0bVWHyTfVJfOxhkn7/nRovTaT8rbcW6fb9RZK40im2c1AKhUJREJbvPMr4L7ZwJjmdF/s04Y5W1fnr9jtI3rmTmv+ZQtmbbrrUKl7xKAOlUCgU+SA5LQPX9x7m/GJgr16GuWM60Kh6GQDK9OhOlYcepLRXFHxF8CgDpVAoFAHiOXyGh+dtZueRs4zqVJcnejci5Mghkrb/RWSTJlQeG1zQV0XOKAOlUCgUAXD4dDJ9p6+hTEQ4c0a2pWujqqTs2cO+kaMIiYyknvtbhApsXaioo6lQKBR5kJyWQUR4KNXLRfByv6bcaK9KpdIlSdq+nf1j7oLQUGq+9ZYyTkWAcjNXKBSKXNh64BTXTVrOBsMMGzqwTW0qlS5J4oYN/DViJCIyAtunnxDRqOEl1vTqRBkohUKhyIW6laNoXac85UudHzvv5GefEVa5MrZPP6WEzXZplCsGqD6pQqFQeLH979P8d/ke/jOoBWUiwnn3zjbZZZmpqYSUKEGNV18lMymJsAo5JgRXFBKqB6VQKBRAZqZk1qo4+s1Yw3ojnv3xieeVn/jgQ4xBg8k4c4aQiAhlnC4CqgelUCiKPUfOJPPY51v4efdxejWphqt/cypElQDMUEbH3niDE7Pep0zv3oiIiEusbfFBGSiFQlGsWfLHYZxfbSUlLRNX/2YMbls7O26kTE/n0IQJnF74JeWHDKb6c88hvFLGXAnYnO7ewJtAKPC+4XK4fMpLAh8DrYETwGDD5TBsTrcNM038Tqvqr4bLMdZq0xqYA0QC3wEPGy5HocfNUwZKoVAUSxJT03np2x3MW7efZjXLMW1ILPWrnJ+Z+eh/3uD0wi+pfN+9VH7wwSsuIrnN6Q4FZgA9gAPAepvTvdhwOXZ4VRsNnDRcjgY2p3sIMAnISmy2x3A5YnMQ/Q5wN/ArpoHqDXxf2PorA6VQKIodJxNSufWdX9h7IoF7u9ZnXPeGlAi7cEq+4vBhlKhXlwoDB14CLQuFdsBuw+WIA7A53fOBvoC3geoLTLB+LwSm25zuXC2xzemuAZQ1XI611vLHQD+KwEApJwmFQlHsKF8qnM60PWc6AAAgAElEQVQNqzB3THue7G0/zzilnzjB0WnTkBkZhFevfiUbJ4CawH6v5QPWuhzrGC5HOnAayEpTXdfmdP9uc7pX2pzu673qH/Ajs1BQBkqhUBQLDp9OZtSc9cQdO4cQggl9mtCxfuXz6qQeOIhx223Ez/mIFCsp5WVOmBBig9fnbp/ynHpCvnNFudU5BFxjuBwtgUeBz2xOd9kAZRYKaohPoVAUG3YePkvcsQTq+cw1ASTv/JP9d91FZnIy13z4IRGNGl0CDfNNupSyTR7lB4DaXsu1gL9zqXPA5nSHAeWAeMvpIQXAcDk22pzuPUBDq34tPzILBdWDUigUVy3nUtJ5b9UeMjMl1ctFsPzxrnRvXO2Cegnr1rHvjjsAqPPpJ5Rq1fJiq1pUrAdibE53XZvTXQIYAiz2qbMYGG79HgD8z3A5pM3prmI5WWBzuusBMUCc4XIcAs7anO4O1lzVMGBRUSivDJRCobgq+f2vkzjeWo3rew8b/zoJkKMjBIAIC6fENddgmz+PiIZXT1w9a07pAeAHTJfxzw2XY7vN6Z5oc7r7WNU+ACrZnO7dmEN5Tmt9Z2Crzeneguk8MdZwOeKtsnuB94HdwB6KwEECAkj5rtu1COBm4HogGkgC/gDcmkffXhRK+aJSvisUikDJyJT8d/lupi3bRfWyEUwdHEu7uhVzrJu0dSuRzZsDIDMzESFX1jN7sU75rtu1CcC/gRXAb8BRIAJzHNJlGa/HNI++tWjVVCgUCv8cOJnIuAWbWW+cpE+LaF7q15RykeEX1JOZmRx9fQrxs2dT+4P3Kd2p0xVnnIoD/pwk1msefUIuZW/odq0qcE3hqqRQKBT5Z9Hmgzz7zR9ICVMHt6BfbM0cX6zNTE3lkPMpznz3HRVuu42oDh0ugbaKQMjTQGke3e29rNu1KM2jJ3iVH8XsVSkUCsUlISk1g6e/3sbXvx+kdZ0KTBscS+2KpXKsm3H2LAceeJDE336jyqOPUumuMVdcdIjiREBu5rpd64g5IVYauEa3ay2AezSPfl9RKqdQKBT+KBEWwqHTSTzSPYYHbmhAWGjuQ3UJa34hcdMmoie5KNe370XUUhEMgb4HNRXoheWeqHn0Lbpd61xkWikUCkUepGdk8t7qOAa1qU3l0iWZO6YDoSG594QyU1IIKVmSsr17EdG0CSVq1cq1ruLyIeBZQc2j7/dZlVHIuigUCkVA7ItPZNpPu1i82Xw/NC/jlLhpE3t69iLx998BlHG6ggi0B7XfGuaTul0rATyE6VMfFLpdGweMwQyPsQ0YqXn05GDlKRSKqx8pJRv2naStrSL1q5Rm6SOdsVXO28P6zI8/8vfj4wmvUYOwKlUukqaKwiLQHtRY4H7+CRIYay3nG92u1cQ0cG00j94UM0fJkGBkKRSK4sHppDQemr+ZgTPXsmKn6ZeVl3GSUnJi9hwOPvQwEXY7deZ9pnpOVyCB9qCE5tFvL+TtRup2LQ0oRRHFcVIoFFc+v8Wd4NHPt3D4TDKP92zI9TH+e0Jnl/7I0UmTKNOzJ9GTJxGisuBekQRqoH7R7dpeYAHwpebRTwW7Qc2jH9Tt2hTgL8yoFEs1j740WHkKheLqJC0jkzd/2sV/V+ymdsVSfHlvR2Jrlw+obZnu3ajx6quU69dXvYB7BRPQmdM8egzwLNAE2KTbtW91u3ZHMBvU7VoFzARZdTFDJ0XlJEsIcXdWCPn09PRgNqVQKK5Q9h5PYMA7vzB9+W4GtK6F+6Hr/RqntCNH2T/2XtIOH0aEhlK+/y3KOF3h5MeLb53m0R/FzNAYD3wU5Da7A3s1j35M8+hpwFdAR99KUsr3pJRtpJRtwsJUVhCFojggpeTz9ftxvLUa40Qi/729FZMHtKB0ybzvAck7/8QYPJiEdetINfZdJG0VRU2gL+qWBW7BdGaoD3yNaaiC4S+gg27XSmEO8XUDNgQpS6FQXEWkpGcyc9UemtcqxxuDYokuH+m3zbmf13Dw4YcJiYrC9uknRDRufBE0VVwMAu2abAG+ASZqHn1tQTaoefTfdLu2ENgEpAO/A+8VRKZCobiyWW/E0zS6HJElQpl3Vwcqly6Z57tNWZxbuZL9991PyQYNqP3uTMKrV78I2iryg83prgyMAmx42RzD5fDN/nsBfg2UbtdCga+t4b1CQfPoLwAvFJY8hUJx5bI/PpEh7/3K/V3r82jPRlQrG7jHXWSrVlQYMoQq4x4htPSFWXIVlwWLgF+Bn8lngAe/Bkrz6BlW7D2FQqEoNE4nplGuVDi1K5Zixm0t6dwwsBdpM1NSODHrfSqNGU1omTJUf+7ZItZUUUCiDJfjsWAaBjrEt1m3a4uBLwDvaOZfBbNRhUJRfJFSMn/9fl5x63wwvA3t61Wid9MaAbVNP3GCAw88SNLvvxOh2SnTrVsRa6soBL63Od09DZcj368TBWqgKgIngBu91klMDzyFQqEIiPiEVJxfbmXpjiNc16Cy31BF3iTv/JMD995Lenw8NadNU8bpymEs8KTN6U4EUgEBSMPlyDnNsRcBGSjNo48smH4KhaK4s3rXMR77fAsnE1N55l8ao6+rS0gAjhAACWvXcuD+BwiJiqLOJ58Q2axpEWt79WBzunsDb2KGlXvfcDlcPuUlgY+B1pgdkcGGy2F4lV8D7AAmGC7HFGudAZzFnFNKN1yONnmoUDlY3QN6D0q3aw11u7ZMt2t/WMvNdbumBn4VCoVfUtIzePnbHdz5wTrKRobzzf2duKtzvYCNE0B4jRpExrbA9sXnyjjlA5vTHQrMAG4CGgNDbU63rx/+aOCk4XI0wEytNMmnfCrwfQ7ibzBcjlg/xgnD5cgABgJPWr9rYMZz9UugL+rOAp4C0gA0j74VFeBVoVD4YdeRs/Sb8Qvv/7yXOzvU4f8euI4m0eUCaivT0jj15VdIKSlhs3HNhx8qN/L80w7YbbgccYbLkQrMx4zk401f/gm8sBDoZnO6BYDN6e4HxAHbg1XA5nRPB24A7rRWJQIzA2kbqIEqpXn0dT7rVPwhhUKRK+kZmYycs54jZ5L5YHgbXurXlMgSoQG1zTh1ir/G3MWhZ54hcd36Itb0qqYm4J3L74C1Lsc6hsuRDpwGKtmc7ijgSeDFHORKYKnN6d5oc7r9vc/U0XA57gGSrW3EAyUCUT5QA3Vct2v1LaXQ7doA4FCAbRUKRTEiPiGV9IxMwkJDeHNIS5Y8cj3dtGoBt0+J28vewYNJ2rSJ6MmTiGofbNCaYkFYVsxS6+NrLHIaR5UB1nkRmGq4HOdyKO9kuBytMIcO77c53XllWE+zOd0hWdu1Od2VgMw86mcTqIG6H3gXsOt27SDwCHBvgG0VCkUx4eiZZHpOXcXMlXsAaF2nAlXLBP7ibcLatRhDhpB59hzXfPQR5fr0KSpVrxbSs2KWWh/fqDwHgNpey7W4ML1Rdh2b0x0GlMOMt9oemGw5RDwCPG1zuh8AMFyOv63vo/gPfTcD+BKoYnO6X8R8YXdyIDsXqBdfHNBdt2tRQIjm0c8G0k6hUBQPpJQIIahaNoKh7WrTvXHgPabz5GRmEl6zJrXefpsStXxHohRBsB6IsTnddYGDmL4Dt/nUWQwMB9YCA4D/GS6HBK7PqmBzuicA5wyXY7o19BdiuBxnrd89gYm5KWC4HB/bnO6NmIHCBTDQcDn+CET5QIPFPgzMxnQrnKXbtVaAU+VxUigUnsNnePLLbfxnYHMaVC3DYz0b5au9TEsjYd06SnfqROlOnYjq0AERGthclSJvDJcj3er1/IDpZv6h4XJstzndE4ENhsuxGPgA+MTmdO/G7Dn5c4CrBnxtc7rBtCGfGS7Hktwq25zu4YbL8RFejhY2p/tlw+Xw6wkupPQdjrwQ3a5t0Tx6C92u9cIc7nsOmK159FZ+GxcCUVFRMiEhwX9FH+bMmQPAiBEjClchhUKBlJI5vxi89r2HshHhzLitJe3rVcqXjPSTJzn48CMkrl9PvW//j5L16xeRtlcnQohEKWXgbztfAmxO9w/AbMPlmG8tvwWUNVyOEf7aBpzy3fr+F6Zh2qLbtcBfYlAoFFcVR88mM/6Lraz88xjd7FWZNKA5lUuXzJeMZI+HA/c/QPqxY0S7XlPG6erlFuD/bE53BqZTRWIgxgkCN1Abdbu2FDML7lO6XStDgF4YCoXi6mKZfoQnFm7lXEo6L/Vryh3tr0GI/D2vnlnyA38/9RShZcpQZ+6nRDZrVkTaKi4VNqe7rNficOD/gDWYzhZlDZfjjD8ZgRqo0Zhv/sZpHj1Rt2uVABX+SKEoRiSlZvDqdzqf/LoPrUZZ5g+JJaZamaBkpR89QkTDhtR8+y3Cq1YtZE0VlwnbMV3Lhdd3X+sjgWv8CQjUQEnMMBk3Y3prRAGB+44qFIormsxMyZD31rLlwGnGXFeX8b0bUTIsf44MGecSSN29i8jYWCrceScVhg5FhIcXkcaKS43hctT2XytvAjVQ/8Uc0rsR00CdxfRrb1tQBRQKxeVLZqZECAgJEYy6ri4Vo0pwfUxgeZu8Sd23j/3330/6seM0WPaTmVxQGadigfVu1d1A1su8KzCD1vqNRhToi7rtNY9+P1aoCs2jnyTAUBUKheLK5ExyGsNnr2PhxgMA9I2tGZRxOvfzGvYOHETGsePUenOaynxb/JgBdAQ+tD4dMTs9fgm0B5VmpX7PCnVUBeUkoVBc1USVCCMsHxHHfZFSEv/RRxyd/DolGzSg1ozplKhd4FEfxZVHB8Pl8M7KvtTmdG8JpGGgPai3MMNZVNXt2iuYoSpezZ+OCoXicicxNZ2Xvt3B0bPJhIYIPhzRloFtgjcqKbt2UaZbN2zzPlPGqfiSaXO6bVkL1u+AOjiBhjqaq9u1jUA3TE+MfppH1/Ovp0KhuFzZduA0D8//nb0nEtBqlGVA61r5dh8HSD1wAJmSQsn69akxYQKEhiJCAn0WVlyFPAGssjndf2LajwaYnuF+Cfiq0Ty6R/PoMzSPPh04pNu1Z4JSVaFQXFZkZEreWbGHW/67hsTUDOaOac+A1rWCknVu9Wr23jqAv5962ozPFx6ujFMxxeZ0dwAwXI4fgUaYhuoJwG64HD8FIiPPHpRu12pjhjWKBr4BPgNewkw8NS9ozRUKxWXBodNJjFuwmV/j4rmpaXVe69+M8qXy7/8kMzM5PnMmx9+eTslGjaj5nylB9b4UVxX/BVoBGC5HErApvwL8DfF9DKzEdCnvDfyK+fJVc82jH87vxhQKxeXD99sO4fxqG2kZmUwe0JyBQQ7pZZxL4O/x4zm3fDll+/ybGi++SEhkZBForChu+DNQFTWPPsH6/YNu144AbTWPnlK0aikUiqJCSsnTX29j3rr9tKhVjjeHtMRWOfh4oyElwsk8d45qzz5LhdtvUz0nRRb1bE734twKDZfDb7Ivv04Sul2rwD/BYg8Dpay8UGgePT5ARRUKxWWCEIJqZSN44IYGPNw9hvDQ4OaIzixdSqm2bQmrUIFrPpqj5poUvhwD/lMQAf4MVDlgI+enBM4aR5RAvYJsXKFQXBwyMiUzV+6hea1yXB9ThUe6NwxalkxL4+iU/xD/0UdUGjOaqo8/royTIifOGi7HyoIIyNNAaR7dVhDhCoXi8iAtI5Ovfz/IsbMpQUWDyCL9+HEOPjKOxA0bqHDHHVR56KFC1FJxlWEUVECgkSQUCsUVyJI/DnN9TGWiSobx5diOlI0M/i+ftH07B8beS8bZs0RPnkS5Pn6nEBTFGMPl6F9QGapfrlBchZxNTuPRzzcz9tONzPnFAKBcqfACOTCEV69Oibp1sc2fp4yT4qLg7z2ouppH33uxlFEoFAVn476TPLLgdw6eTOLhbjHc0zn4qeKMU6c48dFHVLn/fsIqVaLOxx8VoqaKi4HN6e4NvAmEYkYRd/mUl8R8pag1cAIYbLgchlf5NcAOYILhckwJRKZXWwHUMlyO/cHo7q8HtRBAt2vLghGeG7pdK6/btYW6XfPodk3X7dq1hSlfoSiOpGdkMu2nPxn07lqkhM/vuZZxPRoSFqSXXtK2beztfysn3v+ApK3bCllbxcXA5nSHYkYTvwkzp99Qm9Pd2KfaaOCk4XI0AKYCk3zKpwLf51MmAIbLITGDPASFvwHpEN2uvQA01O3ao76Fmkd/I8jtvgks0Tz6AN2ulQBKBSlHoVAA++MTeWTBZjbuO0n/ljWZ0LcJZSOCy7ckpeTkZ59x1DWJsCpVsM39lMjmzQtZY8VFoh2w23A54gBsTvd8zIy2O7zq9AUmWL8XAtNtTrcwXA5pc7r7AXFAQj5levOrzelua7gc6/OrvD8DNQToZ9ULLrezD7pdK4uZuGoEgObRU4HUwpCtUBRHvv79AM99sx0BvDkklr6xNQsk7+jrU4j/8ENKd+lC9CQXoeXLF46iiktBTcB7eO0A0D63OobLkW5zuk8DlWxOdxLwJNADeDyfMr25ARhrc7oNTEMnAGm4HH6fevy5me8EJul2bavm0b/Pq24+qIf5Atds3a61wHzP6mHNoyfk3UyhUOTEL7tPoNUowxuDYqldseCDEWUd/yK0QnkqjR6t3m+6/AkTQmzwWn5PSvme13JOXjHSZzm3Oi8CUw2X45zN6Q6kfm7clEdZngTqc/qLbtfe4J+UvSuBiZpHPx3kNlsBD2oe/Tfdrr0JODGD0mYjhLgbM00wJUqo5L0KhTfrjXhKlwxDq1GWl/o1JTw0hNACJBc89dXXpOzaRbUnnyCySRMimzQpRG0VRUi6lLJNHuUHAO9EXLWAv3Opc8BKz14OiMfsFQ2wOd2TgfKYeZ2SMTsV/mRmY7gc+2xO93VAjOFyzLY53VWAgNIqB2qgPgT+AAZZy3cCs4Fg/NwPAAc0j/6btbwQ00Cdh/UU8B5AVFRUXtZZoShWpKRn8NC832lcoywfjGhLRHho0LIyExI4/NLLnP7mG0p16EBmaioh6oHwamI9EGNzuusCBzGnbW7zqbMYGA6sBQYA/7OcG67PqmBzuicA5wyXY7plxPzJxKvtC0AbzJQbs4Fw4FOgkz/lA+2/19c8+guaR4+zPi8SZJgjKwr6ft2uNbJWdSP3yTWFQmGxPz6R9IxMSoaF8sHwtrw5tGWB5CXrOntvHcDpRYuofN99XPPB+8o4XWUYLkc68ADwA6ADnxsux3ab0z3R5nRnvcz2Aeac027gUXLoMAQiM48mtwB9sBwtDJfjbwL0aQi0B5Wk27XrNI/+M4Bu1zoBSQG2zYkHgbmWB18cMLIAshSKqxopJQs3HmDC4u3c27U+D9wYQ+PosgWSmZmYyF+jRiPCw7lmzhyi2rcrJG0VlxuGy/Ed8J3Puue9ficDA/3ImOBPZh6kWh6BEsDmdAccOj9QAzUW+Fi3a+Ws5ZOYXcKg0Dz6Zswun0KhyIPTiWk8/c023FsP0b5uRfq3Ci7TbRYZ5xIIiSpFSKlS1HzjP5Rs1IiwihULSVuFIkc+tznd7wLlbU73XcAoYFYgDYWUgU/vWC7iaB79TDBaBktUVJRMSMi/k9+cOXMAGDFiROEqpFBcBNbuOcGjn2/m2NkUHu3ZkHs61y+QI0Tipk0cfOxxKo8dS4XBg/w3UFz2CCESpZTBJ/O6SNic7h5AT2txqZUG3i/5ihx5sQ2TQlEcSU3PZOpPfzJz5R5slaL46r6ONK8V/LtIMiODE7Nmcezt6YRHRxPRWCtEbRWKgNgGRGK6owcclkS95KBQXEbEHTvHgJm/8M6KPQxuUxv3Q9cVyDilHT3KX2PGcGzam5Tt1Yu6X39FZLNmhaixQpE3Nqd7DLAO0+t7AGZkiVGBtFXpNhSKy4hJSzz8FZ/IzDta0btpjQLLS9F1kjZvocYrL1Ouf3+Vjl1xKRgPtDRcjhMANqe7EvAL5utLeRKQgdLt2kDM2Hlndbv2LOaLti9rHn2Tn6YKhcIPJxNSSc3IpFrZCF7q15TMTKheLiJoeZkpKSRu2EDpTp0o3aULDZb9pBwhFJeSA8BZr+WznB8qKVcC7UE9p3n0L3S7dh3QC5gCvEPe8ZcUCoUf0jMyuXXmL9QsH8kno9tTtUzwhgkgZdcuDj4+npQ9e2jwwxLCa9ZUxklxqTkI/GZzuhdhzkH1BdbZnO5HAQyXI9eg44HOQWVY3w7gHc2jLwLUG30KRZCkpmcipSQsNIQnetl5sre9QPKklMR/8il7Bwwk/fhxak1/m/CaBQsaq1AUEnswU25kuYwvAg5hvqyb5wu7gfagDup27V2gO2bw2JIoBwuFIih2Hz3LQ/M2M+zaOgxpdw29m1YvkDwpJQfuf4Bz//sfUV06E/3KK4RVrlxI2ioUBcNwOV4Mtm2gBmoQ0BuYonn0U7pdq4E58aVQKAJESsnc3/7iZfcOSpUIo0qZkoUiVwhBqdatiOrUkQq33aYcIRRXDQEZKM2jJ+p2bRFQTbdr11irPUWnlkJxdXHiXApPfrmVn/SjdG5YhSkDmxdovikzKYkjkydTuksXynTtSqXRowtRW4Xi8iBQL74HgReAI0CmtVoCKs2mQuGHlX8e4/EvtnA6MY3nb27MiI42QgoQESJ5xw4OPj6e1Lg4wqtVo0zXroWnrEJxGRHoEN/DQCPNo58oSmUUiquJ5LQMJi/ZyYdr9tKwWmk+HtUOrUbwQV5lRgbxc+ZwdNqbhFWowDUffkBUx46FqLFCUXjYnO63ySORoeFyPORPRqAGaj8QTHJChaLY4vxyK99s/psRHW04b7IXKG8TwLkVKzj6+hTK9OhB9YkvElahQiFpqlAUCRv8V8mbQA1UHLBCt2tuICVrpebRc/VfVyiKI1JKUtIziQgP5f4bGtA3tiY32KsWSF7q3r2UrFeP0jfeSO0P3ieqY0flCKG47DFcjo9yWm9zuiOAfwciI1AD9Zf1KYF6/0mhyJHMTMndn2wkqmQobw5pSUy1MsRUCygvW46kHTnCoWefI3HjRup/5ya8enVKd/KbhFShuOywOd2hmNHMh2IGe1gNfOGvXaBefC8C6HatDCA1j34ueFUViquTkBBBG1sFIsNDkVIG3cuRUnLmWzeHX3oJmZpK1fGPE1Y1+F6YQnGpsDndnTHTwTswA8Z2AuoaLkdiIO0D9eJrCnwCVLSWjwPDNI+eV5pfheKqJzktg9e+0+naqCo32Ksytkv9AsmT6ekcHD+es98vIbJFC6InuShhsxWOsopiic3p7g28CYQC7xsuh8unvCTwMdAaOAEMNlwOw+Z0twPes6oJYILhcnxttTEwY+plAOmGy3FBAlqb030Ac+TtHWC84XKctTndewM1ThB4NIj3gEc1j15H8+h1gMcIMCOiQnG1suPvM/z77Z/5aO0+th0sHB8iERZGWKXKVBk3jjpzP1XGSVEgrKG1GcBNQGNgqM3pbuxTbTRw0nA5GgBTgUnW+j+ANobLEYsZqOFdm9Pt3am5wXA5YnMyThZfAjWBwcC/rVTvgWfIJXADFaV59OVZC5pHXwFc9lkcFYqiIDNT8v7qOPrNWMOppDQ+HtWOh7rFBC0v49w5Dj33PEnb/gCg+rPPUPmeuxFhKhuOosC0A3YbLkec4XKkAvMxg7V60xfIcmhYCHSzOd3CcDkSDZcj3VofQT6Ni+FyPAzYgDeAG4A/gSo2p3uQzekuHYiMgL34dLv2HOYwH8AdwN78KKtQXA0cPZPMY19sYfWu43TXqjHp1mZUKh18yKJzq3/m0PPPk37kCCUbNSKyWdNC1FahoCbnp7Y4wIVZKLLrGC5Hus3pPg1UAo7bnO72mHmb6gB3ehksCSy1Od0SeNdwOd4jBwyXQwL/A/5nc7rDMXtyQ4D/An4DRgbagxoFVAG+Ar62fo8MsK1CcVXw444j9Jq2ivVGPK/c0pRZw1oHbZwyzpzh76efYf9ddxFSqhS2z+ZS8Y7bC1ljRTEgTAixwetzt095Tp46vj2hXOsYLsdvhsvRBGgLPGW5iAN0MlyOVpgG537LGSJXbE53FaC84XIsNlyO24DafvYLCNyL7yTg961fheJqZeqPf/Lmsl00iS7Lm0Na0qBqQCMUuXJq4ZecXrSISnffTeX77yOkZOEEjlUUO9KllLnNAYHZY/I2BrWAv3Opc8CaYyoHxHtXMFwO3eZ0JwBNgQ2Gy/G3tf6ozen+GnMocZV3G5vTLTBD5D2A2RkSNqc7HXjbcDkmBrJzeRoo3a5N0zz6I7pd+z9yGH/UPHqfQDaiUFzpdKxfieS0DB7t2ZCSYcFFhEg/eZK0AweIbNaMinfeQVTHa4mwFywPlELhh/VAjM3prouZOHAIptu3N4uB4cBaYADwP8PlkFab/dawXx2gEWBYzg4hlldeFOb7TTkZnEcw3crbGi7HXgCb010PeMfmdI8zXI6p/pT314PKmnOa4k+QQnE1IaXkvVVxnEtJ57GejWhfrxLt61UKWt6ZpUs5PPElRIlwGvzwAyI8XBknRZFjGZcHgB8w3cw/NFyO7TaneyJmT2gx8AHwic3p3o3ZcxpiNb8OcNqc7jTMIOH3GS7HccvIfG1zusG0IZ8ZLseSHDY/DOhhuBzHvfSJsznddwBLMT0G80RImS/HjEtCVFSUTEhIyHe7OXPmADBixIjCVUhRLHjqq22cTkpl+tBWQUcfTz9xgsMvv8zZ75dQsrFG9CuvEKFphayporgihEiUUl6WHtU2p/sPw+XI0esnrzJv/A3xbSMP10LNo6t0G4qriu+3HaJ2xVI0rVmOiX2bEBYigo4IkXbwIHsHDCTz3DmqPPIwlUaPRoSHF7LGCsVlS2qQZdn4G+K7OXBdFIorl4SUdCb+3w4WbNhPnxbRvDW0JeGhgTq5nk9mSgohJUsSFh1Nuf63UL5fP0rGBP+elEJxhdLC5nSfwfQS9O7oCMz3qvySp4HSPPq+4HVTKK4Mtuw/xSMLNmOcSOC+rvV5pHvDoOTIjAxOzsUkM80AACAASURBVJ3L8fdmYZs/nxK1alJt/PhC1lahuDIwXI6C5ZfB/xDfWXIe4hOYQWODz76mUFxiMjIlM1fuYeqPf1K1TEnm3dWBDkE6QiR7PBx67nmSt20jqvP1iCB7XwrF1YbN6e5uuBw/+awbnls6Dm/89aCCzxWgUFzGHDyVxLgFm1m3Nx5H8xq82q8Z5Urlf35ISsmxN6Zy4sMPCS1fnuj/TKHsv/6l8jUpFP/wvM3pvhV4HCgNvI+ZV7BgBkq3a2U1j35Gt2sVcyrXPHp8TusVisuZJX8c4omFW8nIlEwZ2IJbW9UM2qAIIcg4e4Zyt/Sj2uOPE1q+fCFrq1Bc8XTBDDC+2Vp+3nA55gXS0J+TxGeYjhIbMYf6vP/FEqiXPz3/QbdroZgpgQ9qHl05YyguGqkZknpVSvPmkFjqVMq/h276yZMcnTSZCkOHENmiBdWffx4Roob0FIpcqIAZ/28PZiSLOlYwWr/vOPkb4rvZ+q5bGFr68DCgA2oeS1HkbPrrJPtOJHBLy1r0aRGNo1kNQvP5bpOUktOLFnF00mQyzp4lMrYFkS1aKOOkUOTNr4DLcDk+tDndkZjpPNYAHf019DfE1yqvcs2jb8qPll5ya2FmWHwFeDQYGQpFfnhnxR7ijp3j5ubRhIeG5Ns4Jf/5J4cnTiRpw0az1zRxIhGNgvP2UyiKGd0Nl+MvAMPlSAIe8hdcNgt/Q3wbgO3AMWvZd4jvxnwqmsU04AlAOWEoioz98YmEhAhqlo9k0q3NCQsVQb/bdG7lSlJ37abGyy9Rrn9/1WtSKAIkyzj5rFuVU11f/Bmox4BbgSTMRFdfax79XL419EK3azcDRzWPvlG3a11zq2eFjb8b+P/27jw+iiJ9/PjnyUXCFS5BTgcUmeZWELxBV1AcFV1RUVbFxVVXXXE9fjveqF/d8V6v1WUB8UABUVd0QAUVXW9QEIEeBGGWQ7nvAAlJ6vdHV2SIOSYhxyR53q/XvNJdXV1TlYZ5Ut01VaSlpR3MW6o66O0Fa7nzrUX09TXlhSv60axB2f4NGWPYOWsWkppKo1NOofnll9Nk2DBSmjatpBorpQor8c9AJ+I+4UTcE/GmS28PfOj6namu3+l9EO95AnCO63eieEHvVNfvvFI4kzFmrDGmrzGmb4quLKritGPvPm6cPJ/Rkxdw5KGNuG9o2RcAzFm1itVXX83aG0az9VVvsJGkpWlwUqqKxbse1ErX77wNZACXAkeyf8hgmTgR9zbgNgDbg7rFibh/KE9ZSsWaF93C6MkLWLdjLzcNOpJrBx5OShlu6eVnZ7N53Dg2/2sskpJCq9uCNB2hiwgqdbB8wXAy0IqYmFPUrb/CShsk0Qlv6vWheEsCTwYecCLu3oOqrVIVKDcvn6c+Ws4zHy2jbdMMpl59HH0OK3tvZ9enn7Lp6WdofOYQWv7tb6S2alUJtVWqbvEFw3/BW7hwPd6yHeCNYSh1svHSelDLgYXA28AOoANwrev3lgtwIu7j5asyBefPAeYcTBmqbvvf5ixunLKA+au2cf7R7RhzTlcapcc/I0TO6tXsdV0aDx5Mo9NOwzd1Chk9dZJ+pSrQaKBLNBTYXNYTSwtQ97F/Lr6DW+NaqUowa8l6lm/YxdMXH8XZvdrEfV7+7t1sGjuWLRNeIKlxYxoOGEBSvXoanJSqeKuB7eU5sbQv6o4pT6FKVabtu/fx06ZdHN2hKX88oSNn92pDq8Zxzd6PMYYd4RlseOQRctevp/E5Z9Py5ltIqlevkmutVJ21ApjjC4bDeHPwARANBUq9A1fiE2TX79zp+p1ib+a7fudUO2xcqSpz67Tvufrlb9m7L4+kJIk7OAFkL1vGz7fcQkrz5hz26iTaPvwwqa1aVmJtlarzVgGzgDS8774WvEpV2i2+H4B3Xb+zF/gO7wu76UBnoDcwG3iwfHVWKn45ufnk5OXTsF4KwSF+du7NJT01vuVmcrduJeuzz8g8+2zSjzySDi++SP2+fZDkg16uRqmE5wuGzwCeBJKBcdFQIFToeD3gJaAPsBm4KBoKRH3BcD9grM0mwJhoKPBWPGXGioYC95a37mJMqfP14fqdznjfX2qN96VdF/jUibh7yvvGZdGgQQOTlZVV5vMmTpwIwMiRIyu2QqpKrdi4ixunLKB90/o8O6LE2bcOYHJz2Tp5Chufeor8PXs4YvZs7S2pWkVEdhtjip3x2A7v/hEYBKwB5gIXR0OBJTF5rgV6RkOBa3zB8HDgvGgocJEvGK4P5ERDgVxfMNwa+B5ogzcuocQybbn/iIYCN/qC4XcoYl3BaChwTmnti/d7UMuAZfHkVaqiGGOYOm81Y6YvIS0liT8PODzu83Z98gkbHnmUnJ9+ov5xx3Lo7bdrcFJ1UT9geTQUWAHgC4Yn431tKDaYDAXG2O1pwDN2tvHdMXnS2R9k4ikT4GX789HyVl6naFAJaWtWDre9+QPvLV7H8Yc357ELe9E6MyOuc/O2bGHtjX8ltVUr2j37DA1PPVUXEFR1VVu8UXQF1uAtfVFkHttb2g40Bzb5guH+wATgMOBSezyeMomGAt/an5+Ut/IaoFTC+WL5Jm6a+j2bs7K5bYifP53UiaRSZh/ft2EDO6ZPp9moUd4AiIkvkN61K6LzOKraLUVE5sXsjzXGjI3ZL+o/TuHbbcXmiYYCXwPdfMGwA7zoC4ZnxllmhdAApRJGTm4+j32wlLH/XUHHFg0Yd/kJdG+bWeI5+bt3s/mFF9g8fgJm3z4aDhxIvSOOIKP3wUwXqVSNkWuM6VvC8TV486gWaAf8XEyeNb5gOAXIBA5YLT0aCri+YDgL6B5nmRUirgDl+p0jgeeAVk7E7e76nZ7AOU7E/b/KqJSqmyZ8vpJ/fbqCS/p34M6AQ/204v95mvx8tk+fzsYn/kHu+vU0GjyYlrfcTFqHDlVYY6US3lygsy8Y7gisxZu67pJCeaYDlwNfAsOAj6KhgLHnrLa39Q4DugBRYFscZf6GLxhuEA0FyjTaLd4e1L+BW4F/ATgRd6Hrd14FNECpg2KMYeOubFo2Smfk8T6c1o0ZcOQhpZ+3dy8bH3+ClFataPv4Y9Tv06cKaqtUzWKDy/XA+3hDwidEQ4HFvmD4PmBeNBSYDowHXvYFw8vxek7D7eknAkFfMLwPbw69a6OhwCaAososrg6+YPh4YBzebEQdfMFwL+DqaChwbWn1j3eY+Vwn4h7j+p35TsQ9yqYtcCJuldxH0WHmtdfdby9iztKNzBx9Eg3qlfz30t4lS9jyyiRaj7kHSUsjZ80aUtu00cUDVZ1V2jDzROALhr/G65lNj4YCR9m0RdFQoNS1cOL9n73J9TuHYx+EuX5nGPBLOeurFAV/GJ3Tqw2XHXcYGSV86TZn1SrW3nwLK39/Prs+/JDsn34CIK1dOw1OStUA0VBgdaGkvHjOi/cW33V43yj2u35nLbAS0IVyVJnt3ZfHw+8tJTkJ7gh0pa+vGX19zYrMm79nDxseeZStU6ciKSk0v/pqml85iuRGcc2SopRKDKvtbT7jC4bTgBvwJnsoVbwB6n9OxD3N9TsNgCQn4u4sZ0VVHfbj+p3c8Np8Iut2MvJ4H8aYIr+fZPLzkaQkpF499ixaRJNh59Pi2mtJbalftFWqBroGb1qktngjAD/A6/SUKt4AtdL1O+8BU4CPylNDVXcZY3jpy//x4AyXRukpTBjZl1P9v10MMD8nh22TJ7Nl0iQ6TplCcpMm+F6dhKTotyGUqqnswIpy3XGL9wZ+F7yJYa/DC1bPuH7nxPK8oapbNu3K5o8T53LP9MUcd3hzZo4++TfByezbx7Zp01hxxhDWP/h3Ulu3IW+n10nX4KRUzeYLhl/0BcNNYvab+oLhCfGcG+9cfHuAqcBUu/zGk8AneEMMlSrSx0s3cOvr37Njby73ntONy4477De39PJ27WLl789n36pVpPfowaH330fDE06ophorpSpBz2gosK1gJxoKbPUFw0fFc2Lcf566fmcAcBEwBO/LXxeWtZaq7nh93mpunbYQ/6GNmHTlsXQ5dP/ABpOfz95Fi8jo2ZPkhg1pPHgQGUf3oeEpA3XOPKVqnyRfMNw0GgpsBfAFw82IM/bEO5PESmABXi/qVifilv1LSapOyM83JCUJpzmtuOHUI7j2lCN+XbfJGMPOWbPY9PQzZK9YweEzZ5DWoQMtb7mlmmutlKpEjwFf+ILhaXb/AuCBeE4sNUC5ficZeMGJuPeVv36qLnjtm1W89d1aJv2pP00bpHHT4C6AXf5izhw2Pv002Utc0nw+2jz0EKlt21ZzjZVSlS0aCrzkC4bnAafiTTT7+8JrRxWn1EESTsTNA045uCqquiAzI5XGGSns2Xfgd/ByN2xk7Q2jyd+5i9ahv9Pp3XfIPCugK9oqVYv5guHG9mczYB3wKjAJWGfTShXvM6gvXL/zDN4w819v7zkR97sy1VjVOrOXrGfjrmwu7teBM3u0Zkj3Q8EYdsyaxe6vv+HQO+8gtVVLOrz4Ihk9uiOpqdVdZaVU1XgVOAv4lgOX4xC736m0AuINUMfbn7G3+Qxel03VQXty8nhgxhJe+WoVvds34cK+7Uky+ex47z02P/8vspctI/WwDuRtu47kJk2of3Rcg3aUUrVENBQ4yxcMCzAgGgqsKk8Z8Q4z11t86leL1m5n9OT5/LQxi6tO7sTNg49k3/JlrB19IzkrV5J2+OG0eeRhGg8Zot9jUqoOs8t2vAWUa7mBeEfxtQIeBNo4EXeI63e6Asc5EXd8ed5U1Uz5+YZxn63gkfeX0qxBGi9ffjT96+eQlpJMXpu2pLRsySGjR9No8CCdxFUpVeArXzB8TDQUmFvWE+P983Yi8AJwh93/Ee95lAaoOmLd9r3c/PoCPl++mcFdWhDMX0retQ+yOiODTu9MJ7lhAw57cWJ1V1MplXhOAa7xBcNRvDEMAphoKNCztBPjDVAtnIg71fU7twE4ETfX9TtxTZeuar4vlm/i2le/I3tfHndkbuCk5+8ne/t2Mvr2ocXV14D2lpRSxRtS3hPjDVBZrt9pzv71oI4Ftpf3TVXN0q5pfbq2bszfMjeRds8jNDztdzQfNYqM3lWyXqVSqgbyBcPpeDOZHwH8AIyPhgK5ZSkj3gB1E9669Ye7fudz4BC8FRJVLbVwzTZen72Qqxf+hwbduvHqn0ZhcnPJ6duNep06Vnf1lFKJ70VgH/BfvF5UV2B0WQqIdxTfd3Yuvi549w+XOhF3X9nqqmoCYwxZX3zBB69+wszkwzjj2wX4u3YFvJnFNTgpVbP4guEz8Cb4TgbGRUOBUKHj9YCX8EbabQYuioYCUV8wPAgIAWlADnBrNBT4yJ4zB2gN7LHFDI6GAhsKvXXXaCjQw+YfD3xT1rrH9fDA9TsXABlOxF0MnAtMcf3O0WV9M1tWe9fvfOz6Hdf1O4tdv1OmiKoqz8/b9jDj3idZPepKzl74HtO67eXY996m+ZVXVnfVlFLl4AuGk4Fn2d+DudgXDHctlG0UsDUaChwBPAE8ZNM3AWfbIHM58HKh80ZEQ4He9lU4OIHXewKgrLf2CsR7i+8uJ+K+bteAOh14FHgO6F+O98wFbra9skbAt67fmeVE3LjmZlIVK3fTJrZOnsIX3Qdy9ydryUjy885999P83HNISkur7uoppQ5OP2B5NBRYAeALhicDQ4HYz9uhwBi7PQ14xhcMSzQUmB+TZzGQ7guG60VDgew437uXLxjeYbcFyLD7BaP4GpdWQLwBqmDEXgB4zom4b7t+Z0yc5x7Aibi/AL/Y7Z2u33HxlgLWAFWF9kYibHnpZdbNeJ/nnACz1kTp1b4JT17Um0NaNKju6imlKkZbYHXM/hp+27H4NU80FMj1BcPbgeZ4PagC5wPzCwWnF3zBcB7wBvB/0VAgdjojoqHAQU+2GW+AWuv6nX8BpwEPuX6nHvGvxlss1+/4gKOArw+2LBUfk5/P6quuJuuzz1h6aGceHXIbP5POX045ght+15nUZB0yrlQNkiIi82L2xxpjxsbsF7XAmim0X2IeXzDcDe+23+CY4yOiocBaXzDcCC9AXYr3HKtCxftpdCHwPnCGE3G3Ac2AWw/mjV2/0xCvYTc6EXdH4eMicpWIzBORebm55bp9qay8HTvYMWMGAJKURGqXLkwfdQ83H3c1JrMpk686jpsHd9HgpFTNk2uM6RvzGlvo+Bqgfcx+O+Dn4vL4guEUIBPYYvfbAW8Bl0VDgZ8KToiGAmvtz514k8L2q7gm7RfvKL7drt/ZAJwILMN7jrSsvG/q+p1UvOA0yYm4bxaVx/6ixwI0aNCgcMRXcdjrumx99TW2v/suZs8e0rt2ZUNmS/7a6HjmRrdyTq823H9udzIzdIZxpWqpuUBnXzDcEVgLDAcuKZRnOt4giC/xvj70kZ1DrwkQBm6LhgKfF2S2QaxJNBTY5AuGU/FmLJ9dGZWPdy6+e4C+eMPMXwBSgVeAE8r6hq7fEbwpklwn4j5e1vNV6bJXrOSX229nz4IFSHo6mWefRZPhw0nz+di8ehvLNuziiYt6cd5R7aq7qkqpSmSfKV2PdwcsGZgQDQUW+4Lh+4B50VBgOt7n8cu+YHg5Xs9puD39erwv2d7lC4bvsmmD8aYret8Gp2S84PTvyqi/GFN658T1OwvwnhV950Tco2zaQifiljqXUhFlnYj3xa0fgHybfLsTcWcUd06DBg1MVlbZV5mfOHEiACNHjizzuTVNzpo15G3eTEavXuTt2sWqyy4nc+g5ZJ57Lln16jNr8XrO7+MFpKzsXBrU01nGlarpRGS3MabWjmqK91Mqx4m4xvU7BVMdlfsX4kTczyj6oZwqI5OXx67//pdtr01m16efku44dHzzDZIbNqTjm2/8mm/ih8t48sNl9DmsKb4WDTQ4KaVqhHg/qabaUXxNXL/zJ+CPwLjKq5YqzbY332Ljk0+Su349yS1a0OLP19Dkggt+PZ6bl88v2/fSvll9rh7QiYFdDsGnw8eVUjVIvIMkHnX9ziBgB95zqLudiDurUmumDpCfk8OuDz+k/rHHktK0KZKcRL0uR9LqjttpNHAgEvOl2lWbd3PjlPms35HN7JsGkJGWTM92Taqx9kopVXZx3+uxAWkWgOt3kl2/M8KJuJMqrWYKgOxly9g27Q22v/02edu20eruu2h2ySVkDh1K5tChB+Q1xvDW/LXc/fZiROCB83qQkXbQ35VTSqlqUWKAcv1OY+A6vG8aT8cLUNfhfQdqAaABqpLk5+Sw6vKR7Jk/H1JTaXTqqTQZNowGxx9XZP7te/Zx538W8c73P9PP14wnhvembZOMKq61UkpVnNJ6UC8DW/HGx1+JF5jSgKFOxF1QyXWrU0xuLllffkn2jz/SfNQoktLSqNe5M40GDSJz6DmkNG9e7Llfr9jMTVO/Z/2Ovdx6eheuGXA4yUk6DkUpVbOVFqA6ORG3B4Drd8bhzc3UwYm4Oyu9ZnXE3kiE7f95m+3vvkvepk0kN29O0xEjSEpPp/V995Z47r68fJ6cvYx/zllOh2b1mfbn4+ndXp81KaVqh9IC1K/TpTsRN8/1Oys1OFWcrZMns27MvZCaSsMBJ5M5dCgNBwyIexbxudEtPPPxci7s2457zu6mw8eVUrVKaZ9ovVy/c8B06XZfAONE3FKnS1eevB072Dn7Q3bMmEGTCy6g8emDaThgAK3uupPGZ55JStOmcZVjjGHp+p34D23M8Ye34N2/nEj3tpmVXHullKp6JQYoJ+LqELCDYPLz2TFzJjtmzCTr008x+/aR2rYtJnsvAKmtW9NsxIgylfnC51EenOESvuEkuhzaSIOTUqrW0ntCFSw/O5vsZcvJ6N4NRNj0zLPkZ2XR9JJLaBw4k/QePRAp+wCGnNx80lKSOP/odojAES0bVkLtlVIqcWiAqgD52dlkffklO2e+x87ZsyEpic6ff0ZSWhodJownpVUrJKl8S1nk5Obz+Kwf+eKnTUy75ngy66dyxQkdK7gFSimVeDRAHaTt06ez7t77yM/KIqlRIxqdfjqNzzwTSfbujqa2bl3usn/auIvRk+ezaO0OLu7Xgbx8XXVEKVV3aIAqg9ytW9n18Rx2zp5N8ytGUv+YY0jr2JHGZ55Jo0GnUf/YY+MegVcSYwyT567mvneWkJ6axL8u7cPp3Q6tgBYopVTNoQGqFPnZ2Wx74w12zprF7m/mQl4eKW1ak7tlKwAZPXqQ0aNHhb3flqwcgm8s5IMl6znxiBY8dmEvWjVOr7DylVKqptAAVQpJTmbTU0+T3LQpza+8kkaDBpHerWu5BjqU5rNlm7hp6gK27d7HnQGHP57QkSSdEUIpVUdpgCqFpKTQ6d13SGnRolLf59v/beUP47/miJYNeeGKY+jWRoePK6XqNg1QcajM4LQnJ4+MtGSO7tCEB87rzu+PaqczkCulKowvGD4DeBJvefZx0VAgVOh4PeAloA+wGbgoGgpEfcHwICCEN/9qDnBrNBT4yJ7TB5gIZAAzgNHRUKDCR3GVb+yzqhAfLF7HSQ9/zOotuxERRvQ/TIOTUqrC+ILhZOBZYAjQFbjYFwx3LZRtFLA1GgocATwBPGTTNwFnR0OBHsDleJOHF3gOuArobF9nVEb9tQdVjbq2aUz/Ts2ol6p/JyilKkU/YHk0FFgB4AuGJwNDgSUxeYYCY+z2NOAZXzAs0VBgfkyexUC67W01AxpHQ4EvbZkvAecCMyu68vrJWMXmLN3ALa9/jzGGdk3r8+wlR9OykY7SU0pVirbA6pj9NTatyDzRUCAX2A4UXt/nfGB+NBTItvnXlFJmhdAeVBXZuy+P0MwIE7+I0qVVI7Zk5dC8Yb3qrpZSqmZLEZF5MftjjTFjY/aLGgZc+FlRiXl8wXA3vNt+g8tQZoXQAFUFIut2MPq1BSxdv5ORx/sIDvGTnqrPmpRSBy3XGNO3hONrgPYx++2An4vJs8YXDKcAmcAWAF8w3A54C7gsGgr8FJO/XSllVggNUJXIGMPEL6L8fWaExumpvHDFMZzSpWV1V0spVXfMBTr7guGOwFpgOHBJoTzT8QZBfAkMAz6KhgLGFww3AcLAbdFQ4POCzNFQ4BdfMLzTFwwfC3wNXAY8XRmV1wBVSTbs3Mutry/kkx838jt/Sx4a1pMWektPKVWFoqFAri8Yvh54H2+Y+YRoKLDYFwzfB8yLhgLTgfHAy75geDlez2m4Pf164AjgLl8wfJdNGxwNBTYAf2b/MPOZVMIACQAxJvEnIG3QoIHJysoq83kTJ04EYOTIkRVboVIsW7+T4WO/Yld2Lnee1ZU/9O9QKTNPKKXqNhHZbYxpUN31qCzag6oEvhYNONXfkqtO7kTnVo2quzpKKVUj6TDzChJZt4NLx3/N1qwcUpOTeOSCXhqclFLqIGiAqiC5eYaVm7JYu21PdVdFKaVqBQ1QB2H9jr28+EUUgO5tM/n4loF0b6uTvCqlVEXQZ1Dl9P7idQTfWMjeffkM6tqKNk0ySE3WeK+UUhVFA1QZ7c7J5f53XV77ZhU92mbyj+G9adMko7qrpZRStU61BCjX7xww/bsTcUOlnJIQflizndGT57NycxbXDDicmwYdSVqK9pqUUqoyVPmnq+t3fjP9u+t3Ck//nlDy8g3PzfmJ8/75Obtz8ph0ZX+CQ/wanJRSqhJVRw+qH7DcibgrAFy/U9T07wlj485s/vLad3y1YgtDuh/K33/fgyb106q7WkopVetVR4Aqavr3/oUzichVeAtikZZWvoBQETNIpKcmsW33Ph4e1pML+rTTGSGUUqqKVEeAimuqdjtl/Fjwpjqq7EoVp1F6KuEbTiI5SQOTUkpVpep4iBLP9O8JRYOTUkpVveroQc0FOrt+p6Tp35VSStVxVd6DciJuLt407u8DLjDVibiLq7oeSimlElutXm5DKaVqs9q+3IZ+kUcppVRC0gCllFIqIWmAUkoplZA0QCmllEpINWKQhIjkA+VdCTAFyK3A6iQabV/Npu2r2aq7fRnGmFrb0agRAepgiMg8Y0zf6q5HZdH21WzavpqttrevutXayKuUUqpm0wCllFIqIdWFADW2uitQybR9NZu2r2ar7e2rVrX+GZRSSqmaqS70oJRSStVAGqCUUkolpBodoERkgohsEJFFMWnNRGSWiCyzP5vadBGRp0RkuYgsFJGjq6/m8SmmfWNEZK2ILLCvM2OO3Wbbt1RETq+eWsdPRNqLyMci4orIYhEZbdNrxTUsoX216Rqmi8g3IvK9beO9Nr2jiHxtr+EUEUmz6fXs/nJ73Fed9S9NCe2bKCIrY65hb5teo/6NJjxjTI19AScDRwOLYtIeBoJ2Owg8ZLfPBGbireh7LPB1dde/nO0bA9xSRN6uwPdAPaAj8BOQXN1tKKV9rYGj7XYj4EfbjlpxDUtoX226hgI0tNupwNf22kwFhtv054E/2+1rgeft9nBgSnW3oZztmwgMKyJ/jfo3muivGt2DMsZ8CmwplDwUeNFuvwicG5P+kvF8BTQRkdZVU9PyKaZ9xRkKTDbGZBtjVgLLgX6VVrkKYIz5xRjznd3eibc+WFtqyTUsoX3FqYnX0BhjdtndVPsywKnANJte+BoWXNtpwO9EJGGXrC6hfcWpUf9GE12NDlDFaGWM+QW8DwigpU1vC6yOybeGkj8sEtn19vbBhILbX9Tw9tlbPUfh/YVa665hofZBLbqGIpIsIguADcAsvJ7fNmNMwRRAse34tY32+HagedXWuGwKt88YU3ANH7DX8AkRqWfTauQ1TFS1MUAVp6i/0mriGPvngMOB3sAvwGM2vca2T0QaAm8ANxpjdpSUtYi0hG9jEe2rVdfQGJNnjOkNtMPr8TlFZbM/a1wbC7dPRLoDtwF+4BigGfA3m73GtS+R1cYAtb6gS21/brDpa4D2MfnaAT9XVmtxEQAACzhJREFUcd0OmjFmvf0Pkw/8m/23gGpk+0QkFe/De5Ix5k2bXGuuYVHtq23XsIAxZhswB+/ZSxMRSbGHYtvxaxvt8Uziv41drWLad4a9fWuMMdnAC9SSa5hoamOAmg5cbrcvB96OSb/MjrI5FthecBupJil0P/s8oGCE33RguB0l1RHoDHxT1fUrC/vsYTzgGmMejzlUK65hce2rZdfwEBFpYrczgNPwnrV9DAyz2Qpfw4JrOwz4yBiTsD2MYtoXifkDSvCer8VewxrzbzThVfcojYN5Aa/h3SLZh/eXyyi8+9kfAsvsz2Y2rwDP4t0f/wHoW931L2f7Xrb1X4j3n6F1TP47bPuWAkOqu/5xtO9EvNsfC4EF9nVmbbmGJbSvNl3DnsB825ZFwN02vRNecF0OvA7Us+npdn+5Pd6puttQzvZ9ZK/hIuAV9o/0q1H/RhP9pVMdKaWUSki18RafUkqpWkADlFJKqYSkAUoppVRC0gCllFIqIWmAUkoplZA0QKm4icgddkbnhXYG5/6V8B5REWlRhvwZIvKJnY7GJyJGRO6POd5CRPaJyDN2/xoRucxuTxSRYXZ7joj0tdszCr77UpVE5DX7u/1rTNodMTNm58Vs31BCOa+IyLnFHT/IOqYX/L4ro3ylYqWUnkUpEJHjgLPwZufOtkEkrZqrBfBH4E1jTJ6dc3QFXj3vsscvABYXZDbGPF9agcaYM0vLU9FE5FDgeGPMYYXq8gDwgM2zy3hT7lQbY8xeEfkU70u2U6qzLqr20x6UildrYJPxpnbBGLPJGPMzHNjrEZG+IjLHbo8RkZdF5CPx1gX6k00fKCKfishbIrJERJ4XkQP+LYrI/WLXT7L7DxTTaxjB/lkKAPYAbkFvCLgIb+mHgnLGiMgtJTW0UHtuEpFF9nWjTfOJt8bTv22P8gM7ywAicoNt00IRmVxE2eki8oKI/CAi80XkFHvoA6Cl7R2dVFL9YsrqKN56UwvFWzerXRF5/i4i40UkSUSOsb2fb0Vkpoi0snk+E5GQeOseLRWR4216DxGZa+u0UEQ62WL/g/d7V6pSaYBS8foAaC8iP4rIP0VkQJzn9QQCwHHA3SLSxqb3A24GeuBNnPr7QueNx06JY4PXcGBSbAbxFsHrZIyJFjp3Mt6UQe2APMo5F5qI9AGuAPrjzS/3JxE5yh7uDDxrjOkGbAPOt+lB4ChjTE/gmiKKvQ7AGNMDuBh4UUTSgXOAn4wxvY0x/42ziv8Extn3eh34R6H6Pw40Bq7EWybiSeB8Y0wfvNkP7o/NbozpB9wK3G3TrgUetb22Y9j/e/ze/j6UqlQaoFRcjLcmTh/gKmAjMEVERsZx6tvGmD3GmE1487MVTKr5jTFmhTEmD29KpxMLvV8U2GwDwmBgvjFmc6GyW+AFh8LeAwbhBYCDuQ11IvCWMSbLtv9NoKB3s9IYs8Bufwv47PZCYJKI/AHI5bdOxJvqCGNMBPgfcGQ569cfLxgDvBRTN4B7gQxjzHXGmy7GAboBs8VbOiLIgZOaFkzUG9uWL4A7ReT/Ae2NMXttvXMBU9BrVKqyaIBScTPeDNxzjDH3ANezv9eQy/5/S+mFTytmv7j0WOOAkXi9mAlFHN9TxPthjMnB+6C9GW8m8fIqaSG97JjtPPY/zw3gzcXWB/hW9s/oHU+ZFekboK/sX2tKgIW2h9bbGNPDGDMkJn9Be35tizHmZbzJbLOBWSJyckz+NA78HShV4TRAqbiISBcR6RyT1Bvvr3+AKN4HMuwPWgWG2ucuzYGBwFyb3s8+Q0nCe070WRFv+xZwBt7tpfcLHzTGbAWS7S2ywh4D/lZEr6ssPgXOFZH6ItIA78O62Ntvti3tjTEfA/8PaAI0LKLMETb/kUAHvIlhy+Mr4EK7/QdbdoEw3u/gXfHWo1oCtBWRfva900SkW0mFi0gnY8xyY8yTtryeNr0VsNZ4y4UoVWl0FJ+KV0PgafGGX+fizUZ9lT12LzBeRG5n/4qxBb7B+3DrANxvjPnZfjB/CYTwnkF9iheMDmCMyRGRj/FWZ80rpl4f4N02m13o3MXEjN4rD2PMdyIykf1LXowzxswXb3XcoiQDr4hIJl6P5QnjrSEU65/A8yLyA97vcaQdFVmeKl6P93u/DViP19OMrf9kEWmEN4gkgDfy7imbloIXwEr6HV0iIhfjzab/M3CnTT8F75oqVal0NnNVaURkDLDLGPNoofSBwC3GmLNKOT8J+A64wBizrJg8RwE3GWMurZBKq1KJyNvAzcaY5dVdF1W76S0+lZBEpCteL+3D4oITgDFmPvCx6BdHq4SI1AOmaXBSVUF7UEoppRKS9qCUUkolJA1QSimlEpIGKKWUUglJA5RSSqmEpAFKKaVUQtIApZRSKiFpgFJKKZWQNEAppZRKSBqglFJKJSQNUEoppRKSBiillFIJSQOUUkqphKQBSimlVELSAKWUUiohaYBSSimVkDRAKaWUSkgaoJRSSiUkDVBKKaUSkgYopZRSCUkDlFJKqYSkAUoppVRC0gCllFIqIWmAUkoplZA0QCmllEpIGqCUUkolJA1QSimlElKdClAisiuOPONEpKvdvr3QsS/K8x4iMkdETi+UdqOI/PNg6xsPERkjImtFZIGILBKRc2x6PRGZIiLLReRrEfGVocw+IvKDPfcpEZEi8og9tlxEForI0THH3hORbSLybkW0USlV+9SpABUPY8yVxpgldvf2QseOL2exrwHDC6UNt+lV5QljTG/gAmCCiCQBo4CtxpgjgCeAh8pQ3nPAVUBn+zqjiDxDYo5fZc8p8AhwaVkboZSqO+pkgBKRgbZXM01EIiIyqaAHYNP7ikgIyLC9jkn22C77s6GIfCgi39lexNBS3nIacJaI1LPn+4A2wGfxlGXr+27M/jMiMtJu9xGRT0TkWxF5X0Ral1QRY4wL5AItgKHAizF1/F1RPaEi6tMaaGyM+dIYY4CXgHOLyDoUeMl4vgKaFNTPGPMhsLO091JK1V0p1V2BanQU0A34GfgcOAH4rOCgMSYoItfbXkdhe4HzjDE7RKQF8JWITLcf1r9hjNksIt/g9TLexus9TTHGGBEpU1mxRCQVeBoYaozZKCIXAQ8AfyzhnP5APrARaAustnXMFZHtQHMRaQ5MKaaIgfa8NTFpa2xaYb+WXyjfL6W1TSml6nKA+sYYswZARBYAPmICVCkEeFBETsb7sG8LtALWlXBOwW2+ggBVEETKU1aBLkB3YJbt+CRT/If/X0XkD3i9lotscCyqt2SMMUuBogKzV+Fizisqa5z5lFLqN+pygMqO2c6jbL+LEcAhQB9jzD4RiQLppZzzH+BxO1AgwxjzXRnKyuXA27EFxwVYbIw5Lo46P2GMebRQ2hqgPbBGRFKATGCLiHSh5B7UGqBdTFo7vJ5oYQXll5ZPKaV+o04+gyqDffY2WmGZwAYbUE4BDiutIGPMLmAOMIEDB0fEU9b/gK521F0m8DubvhQ4RESOA++Wn4h0i7NtANOBy+32MOAj+7xoqTGmdzGvbcaYX4CdInKs7U1dhtczLKr8y+xovmOB7fZcpZQqVV3uQcVjLLBQRL4zxoyISZ8EvCMi84AFQCTO8l4D3uTAEX2llmWMWS0iU4GFwDJgvk3PEZFhwFM2cKUA/wAWx1mf8cDLIrIc2MJvRxqW5M/ARCADmGlfiMg1tm7PAzOAM4HlwG7gioKTReS/gB9oKCJrgFHGmPfL8P5KqVpO4ngWr5RSSlU5vcWnlFIqIWmAUkoplZA0QCmllEpIGqCUUkolJA1QSimlEpIGKKWUUglJA5RSSqmEpAFKKaVUQvr/P2IivxWPqEsAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a1b90bb00>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"cp = 100\n",
|
|
"color = 'tab:red'\n",
|
|
"ax1.set_xlabel('Supply (Millions of Tokens)')\n",
|
|
"ax1.set_ylabel('Reserve (Millions of Reserve)', color=color)\n",
|
|
"ax1.plot(supp[cp:], reserve[cp:],'--', color=color)\n",
|
|
"ax1.tick_params(axis='y', labelcolor=color)\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
|
|
"\n",
|
|
"color = 'tab:blue'\n",
|
|
"ax2.set_ylabel('Price in xDAI per Token', color=color) # we already handled the x-label with ax1\n",
|
|
"ax2.plot(supp[cp:], price[cp:],'-.', color=color)\n",
|
|
"ax2.tick_params(axis='y', labelcolor=color)\n",
|
|
"\n",
|
|
"ax1.vlines(S0,0,reserve[-1], alpha=.5)\n",
|
|
"ax1.text(S0*1.02, reserve[-1], \"Initial Value S0=\"+str(int(100*S0)/100)+\" mil tokens\")\n",
|
|
"ax1.text(S0*1.02, .95*reserve[-1], \"Initial Value R0=\"+str(R0)+\" mil Reserve\")\n",
|
|
"#ax1.hlines(S0,0,R0)\n",
|
|
"\n",
|
|
"ax2.text(S0*1.02, price[3], \"Initial Value P0=\"+str(int(100*spot_price(R0,kappa,V0))/100))\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n",
|
|
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a1bd12a58>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax1 = plt.subplots()\n",
|
|
"\n",
|
|
"cp = 100\n",
|
|
"color = 'tab:red'\n",
|
|
"ax1.set_xlabel('Supply (Millions of Tokens)')\n",
|
|
"ax1.set_ylabel('Reserve (Millions of Reserve)', color=color)\n",
|
|
"ax1.plot(supp[cp:], reserve[cp:],'--', color=color)\n",
|
|
"ax1.tick_params(axis='y', labelcolor=color)\n",
|
|
"\n",
|
|
"ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
|
|
"\n",
|
|
"color = 'tab:blue'\n",
|
|
"ax2.set_ylabel('Price in Reserve per Token', color=color) # we already handled the x-label with ax1\n",
|
|
"ax2.plot(supp[cp:], price[cp:],'-.', color=color)\n",
|
|
"ax2.tick_params(axis='y', labelcolor=color)\n",
|
|
"\n",
|
|
"ax1.vlines(S0,0,reserve[-1], alpha=.5)\n",
|
|
"ax1.text(S0*1.02, reserve[-1], \"Initial Value S=\"+str(int(100*S0)/100)+\" mil tokens\")\n",
|
|
"ax1.text(S0*1.02, .95*reserve[-1], \"Initial Value R=\"+str(R0)+\" mil Reserve\")\n",
|
|
"#ax1.hlines(S0,0,R0)\n",
|
|
"\n",
|
|
"ax2.text(S0*1.02, price[3], \"Initial Value P0=\"+str(int(100*spot_price(R0,kappa,V0))/100))\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n",
|
|
"fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#given V0 and kappa\n",
|
|
"#sweep the reserve\n",
|
|
"reserve = None\n",
|
|
"reserve = np.arange(.01,100,.01)\n",
|
|
"price = np.array([spot_price(r,kappa, V0) for r in reserve])\n",
|
|
"\n",
|
|
"#realized price for withdrawing burning .1% of tokens\n",
|
|
"withdraw_price=[withdraw(supply(r,kappa,V0)/1000, r,supply(r,kappa,V0), kappa, V0)[1] for r in reserve]\n",
|
|
"\n",
|
|
"#realized price for depositing .1% more Xdai into the reserve\n",
|
|
"mint_price=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0)[1] for r in reserve]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#from IPython.display import Image\n",
|
|
"#Image(filename='slippage.jpeg')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"pdf = pd.DataFrame({'reserve':reserve, 'spot_price':price, '.1% mint_price':mint_price,'.1% withdraw_price':withdraw_price })"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a198241d0>"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x10cab7a58>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"pdf.plot(x='reserve')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"pdf['mint_slippage'] = (pdf['.1% mint_price']-pdf['spot_price'])/pdf['spot_price']\n",
|
|
"pdf['withdraw_slippage'] = (pdf['spot_price']-pdf['.1% withdraw_price'])/pdf['spot_price']"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
|
|
" series.name = label\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1c3ebb70>"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a198676a0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"pdf.plot(x='reserve', y = ['mint_slippage', 'withdraw_slippage'])#, logy=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#given V0 and kappa\n",
|
|
"R = 20\n",
|
|
"S = supply(R,kappa,V0)\n",
|
|
"p = spot_price(R,kappa,V0)\n",
|
|
"#sweep the transaction fraction\n",
|
|
"TXF = np.logspace(-6, 0, num=1000)\n",
|
|
"\n",
|
|
"#realized price for withdrawing burning .1% of tokens\n",
|
|
"withdraw_price2=[withdraw(S*txf, R,S, kappa, V0)[1] for txf in TXF]\n",
|
|
"\n",
|
|
"#realized price for depositing .1% more Xdai into the reserve\n",
|
|
"mint_price2=[mint(R*txf, R,S, kappa, V0)[1] for txf in TXF]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"516.3977794943223\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"print(S)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"pdf2 = pd.DataFrame({'tx_fraction':TXF, 'spot_price':p*np.ones(len(TXF)), 'mint_price':mint_price2,'withdraw_price':withdraw_price2 })"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
|
|
" series.name = label\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.axes._subplots.AxesSubplot at 0x1a1bdc3908>"
|
|
]
|
|
},
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x1a19848c18>"
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]
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},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"pdf2.plot(x='tx_fraction',y=['mint_price','withdraw_price','spot_price'], logx=True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"pdf2['bond_to_mint_slippage'] = (pdf2['mint_price']-pdf2['spot_price'])/pdf2['spot_price']\n",
|
|
"pdf2['burn_to_withdraw_slippage'] = (pdf2['spot_price']-pdf2['withdraw_price'])/pdf2['spot_price']"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
|
|
" series.name = label\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5,0,'Transaction size as percent of the asset Burned or Bonded\\nnormalizd units: bonded/Reserve, burned/Supply')"
|
|
]
|
|
},
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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GIpJT9z9jLj9VJTExkfj4eOrXr3+5i2OMMaYQKcrNtRctrz55ycnJBAcHW4BnCjURITg42GqcjTHG/MEVHeTlxwI8UxTYfWqMMSYnV3SQZwMvjDHGGFNcXdFBXmGeQiU2NpaWLVu6nm5oaCiHDx/O8bljx44xceJE1/P0NnnyZD766KM894mKimLhwvPvaul9zSIiInjssccuqIzGGGPMBVG93CU4xxUd5JlzXYogb9SoUfz5z3/Oc58LDfK8hYWFMX78+ItKwxhjjPHJ0Vj49mmYPfhyl+QcRWJ0bUHxdcWLVxb8wtaEE67m3bxmeV4e0CLPfdLT0xk+fDgbNmygSZMmfPTRR6xatYqnn36a9PR0OnbsyKRJkyhVqhShoaEMHz6cBQsWkJaWxmeffUbTpk1JTExk2LBhHDp0iE6dOqF5fMt47rnniI6Opm3btlx//fW8/fbb/O1vf+O7775DRHjhhRcYOnRojscuWbKEl19+mWrVqhEVFcXgwYNp1aoV48aN48yZM3z11Vc0bNiQ0aNHU7ZsWZ5++mn69OlD586dWbx4MceOHeODDz6gc+fOvPTSS5w5c4bw8HCef/75HPNcunQpjz/+OOD0SVu2bNkfyjNmzBi++eYbRo8eTXR0NHv37mXPnj387W9/Y8SIESxZsoSXXnqJ4OBgtm/fTq9evZg4cSJ+fn489NBDrFu3jjNnznDbbbfxyiuvALBw4UKeeuopQkJCaN++PTExMXzzzTckJSXx6KOPsnnzZtLT0xk9ejQ333xznq+vMcaYIm7fJlgxDn75EsQPWg+F9BQoUepylwy4wmvyCnNzLcD27dsZOXIkmzZtonz58rzzzjvce++9zJ0792wwMWnSpLP7h4SEsH79eh566CHGjBkDwCuvvEKPHj3YsGEDAwcOJC4uLtf83nrrLRo2bEhUVBT//ve/+eKLL4iKimLjxo38+OOPPPPMM+zbty/X4zdu3Mi4cePYvHkzs2bNYseOHaxdu5YHHniAd999N8dj0tPTWbt2LWPHjuWVV16hZMmSvPrqqwwdOpSoqKhcg8oxY8YwYcIEoqKiWL58OUFBQXley02bNvHtt9+yatUqXn31VRISnMVR1q5dy//7f/+PzZs3Ex0dzRdffAHA66+/TkREBJs2bWLp0qVs2rSJ5ORkHnzwQb777jvCw8M5dOjQ2fRff/11rrnmGtatW8fixYt55plnSEpKyrNMxhhjiiBViFkKswbBlJ6w43vo+jA8vhFumVBoAjy4wmvyfJVfjVtBqVOnDt27dwfg7rvv5p///Cf169enSZMmAAwfPpwJEybwxBNPADB4sFNN3KFDh7PByrJly87+3a9fPypVquRz/uHh4QwbNgx/f3+qVatG7969WbduHQMHDsxx/44dO1KjRg0AGjZsyA033ABAq1atWLx4cY7HeJc5NjbW57J1796dp556irvuuovBgwdTu3btPPe/+eabCQoKIigoiKuvvpq1a9dSsWJFOnXqRIMGDQAYNmwY4eHh3HbbbcybN4+pU6eSnp7Ovn372Lp1K5mZmTRo0ODsfHTDhg1j6tSpACxatIj58+efDa6Tk5OJi4ujWbNmPp+TMcaYQiwzA7bNd2ruEjZAmapw7UsQ9hcIqni5S5cjC/IKsfOdGqNUKefbg7+/P+np6RecTpa8mnbzyh/Az8/v7GM/P79zypPTMdnLnJ/nnnuOfv36sXDhQrp06cKPP/5IYGBgrvtnvwZZj3PavmvXLsaMGcO6deuoVKkS9957L8nJyXleD1Xlv//9L1dddZXP52CMMaYISEuGjR/DynfhSAxUbgD9/wNt7oSA3D93CoMrurm2sE+hEhcXx6pVqwD45JNPuO6664iNjWXnzp0AzJo1i969e+eZRq9evZgzZw4A3333HUePHs1133LlynHy5Mlzjp07dy4ZGRkcOnSIZcuW0alTp4s9rXxlL0dOoqOjadWqFc8++yxhYWH8+uuvee7/9ddfk5ycTGJiIkuWLKFjx46A01y7a9cuMjMzmTt3Lj169ODEiROUKVOGChUqcODAAb777jsAmjZtSkxMzNkax7lz555N/09/+hPvvvvu2UBww4YNF3r6xhhjCoMzx2DZGBjbEr55EgIrwO0z4ZEICLu/0Ad4cIUHeYW9T16zZs2YOXMmrVu35siRIzz55JPMmDGD22+/nVatWuHn58eoUaPyTOPll19m2bJltG/fnkWLFlG3bt1c9w0ODqZ79+60bNmSZ555hkGDBtG6dWvatGnDNddcw9tvv0316tXdPs0/uPrqq9m6dStt27Y9J5DyNnbsWFq2bEmbNm0ICgrixhtvzDPNTp060a9fP7p06cKLL75IzZo1AejatSvPPfccLVu2pH79+gwaNIg2bdrQrl07WrRowf3333+2yTwoKIiJEyfSt29fevToQbVq1ci6d1588UXS0tJo3bo1LVu25MUXX3TxihhjjLlkTiTA//4B/2kBP/8TqreGP8+HEYuhxS3g53+5S+gzOd8mueIoLCxMIyIiztm2bds2609VTHiP6PXmPQLXV6dOnaJs2bKoKn/9619p3LgxTz75pNtFPm92vxpjzEU6tN3pb7dpHmgGtBgM3R+HGq0vd8n+QEQiVTUsv/2sT54x52HatGnMnDmT1NRU2rVrx4MPPni5i2SMMeZixK2BFWNh+0IoEQRh90HXv0Kl0MtdsotmNXlceTV5iYmJXHvttX/Y/tNPPxEcHJznsZs3b+aee+45Z1upUqVYs2aNq2XMMmPGDMaNG3fOtu7duzNhwoQCya+oKs73qzHGuC4zE377H4SPhT2rIagSdBrp/JQJudyly5evNXlXdJDnNRnyiN9+++2c5+xD0xQldr8aY4wP0lNhy+dOs+yhX6FCHej6CLS/B0qWudyl85k11/pAVRcAC8LCwkZc7rIYY4wxpoCknITImbB6IpzYC1VbwKCp0HIw+Adc7tIVmCs6yDPGGGNMMXbqIKyZDOveh+TjUK8HDBgHja6DC5xDtiixIM8YY4wxxcuRGGfy4g1zICMVmvaDHk9C7XxbOIsVC/KMMcYYUzwkbHD62239GvxKQJs7oNtjENL4kmSvqhe8ylRBuKInQy7MYmNjadmy5SXL74033iiwtG+66SaOHTvGsWPHmDhx4tntS5YsoX///vke7+t+BaVPnz5kjb7OOhdjjDGFhCpE/wwzB8LUPrDzJ+j2KDy+CQa+e0kCvF8SjvPCV5u578N1BZ7X+bAgrxg6nzVgsxRkkLdw4UIqVqz4hyDvYl3IeV6srHMxxhhzmWWkw+bPYUovmDXImcz4ulfgyS1w/atQvkaBZp+Uks6na+O4+b1w+o0PZ15EPJVLlyQ1PbNA8z0fV3RzrdcUKnnv+N1zsH+zu5lXbwU3vpXnLunp6QwfPpwNGzbQpEkTPvroI5o3b05ERAQhISFERETw9NNPs2TJEkaPHk1CQgKxsbGEhIRwww03MH/+fE6fPk10dDSDBg3i7bffzjGf5557jjNnztC2bVtatGjBnDlzeOedd5g+fToADzzwAE888USOx7799tsEBgby2GOP8eSTT7Jx40Z+/vlnfvrpJ2bMmMHs2bMJDQ0lIiKC5557jujoaNq2bcv1119Pv379OHXqFLfddhtbtmyhQ4cOzJ49GxHh+++/54knniAkJIT27dufzS/7eb7xxhvcc889JCUlAfDee+/RrVs3Hn74Yfr27cvAgQMZNGgQlSpVYvr06XzwwQfs2rWL11577Q/nkpSUxJAhQ4iPjycjI4MXX3yRoUOHnrNP1rmcOnWKvn370rlz53Nen9KlSxMaGsrQoUNZvHgxAB9//DGNGjViwYIFvPbaa6SmphIcHMycOXOoVq0ahw4d4s477yQxMZGOHTvy/fffExkZSUhICLNnz2b8+PGkpqbSuXNnJk6ciL9/0VlSxxhjXJd2BjbMhlXvwdFYCG4EA8Y7TbMlShV49tv2nWDOmt18uX4vSakZNK5alpcHNGdQu1pULF2ywPM/H1d0TV5hX7t2+/btjBw5kk2bNlG+fPl8a8EiIyP5+uuv+fjjjwGIiopi7ty5bN68mblz57Jnz54cj3vrrbcICgoiKiqKOXPmEBkZyYwZM1izZg2rV69m2rRpbNiwIcdje/XqxfLlywHOBj9paWmEh4fTs2fPP+TTsGFDoqKi+Pe//w3Ahg0bGDt2LFu3biUmJoYVK1aQnJzMiBEjWLBgAcuXL2f//v25nmfVqlX54YcfWL9+PXPnzuWxxx77Q7n27t3L1q1bAXIsV5bvv/+emjVrsnHjRrZs2ULfvn3zvN55vT7ly5dn7dq1PPLII2cD5B49erB69Wo2bNjAHXfccTbofuWVV7jmmmtYv349gwYNIi4uDnDmvps7dy4rVqwgKioKf39/5syZk2eZjDGm2Dp9BJa+Df9pCQufhtIhMHQ2/HUddBheoAFecloGX26I59ZJK7lx3HLmRcTzpxbV+e9DXVn0ZC/u616/0AV4cIXX5Pksnxq3glKnTh26d+8OwN1338348ePz3H/gwIEEBQWdfXzttdeSFcA2b96c3bt3U6dOnXzzDQ8PZ9CgQZQp40wMOXjwYJYvX067du3+sG+HDh2IjIzk5MmTlCpVivbt2xMREcHy5cvzLS9Ap06dqF27NgBt27YlNjaWsmXLUr9+fRo3bnz23KdOnZrjeaalpfHII4+cDYJ27NgBQM+ePc8Gj82bN+fo0aPs27ePVatW5VquVq1a8fTTT/Pss8/Sv3//XIPBLDm9Plnr4w4bNuzs76y1bePj4xk6dCj79u0jNTWV+vXrA871/vLLLwHo27cvlSpVApwVSCIjI+nYsSMAZ86coWrVqvleU2OMKVaO7XHmt4ucCWlJ0PgG6P4E1OtW4NOgxB5O4uO1cXwWsYejp9MIDS7NP25qxm0dalOpTOEL6rKzIK8Qyz5CR0QoUaIEmZlOe39ycvI5z2cFZVlKlfr9W42/v7/PfdjOZxWUgIAAQkNDmTFjBt26daN169YsXryY6Ohon1ZgyK2MeY1O8j7P//znP1SrVo2NGzeSmZlJYGAgALVq1eLo0aN8//339OrViyNHjjBv3jzKli1LuXLlcky3SZMmREZGsnDhQp5//nluuOEGXnrppVzLkdPrk9ffjz76KE899RQDBw4828QOuV9vVWX48OG8+eabuZbBGGOKrQNbnZGyWz53Ble0ug26Pw7VWhRotukZmfy47SBz1uxm+W+H8fcTbmhejbs616Nbw2D8/ArP6Nn8XNHNtYVdXFwcq1atAuCTTz6hR48ehIaGEhkZCcB///tf1/IKCAggLS0NcJo6v/rqK06fPk1SUhJffvllnrVavXr1YsyYMfTq1YuePXsyefJk2rZt+4cgqFy5cpw8eTLfsjRt2pRdu3YRHR0NOOeem+PHj1OjRg38/PyYNWsWGRkZZ5/r2rUrY8eOPVuuMWPG5HkeCQkJlC5dmrvvvpunn36a9evX51nOnF6fLHPnzj37u2vXrmfLWqtWLQBmzpx5dt8ePXowb948ABYtWsTRo0cBpyb2888/5+DBgwAcOXKE3bt351kmY4wp0lQhdgXMGQKTusK2+dBxBDweBYOnFmiAt/94MmN/3EGPfy1m1OxIfjtwiieva8LK565h0t0d6NE4pEgFeGA1eYVas2bNmDlzJg8++CCNGzfmoYceolOnTvzlL3/hjTfeoHPnzq7lNXLkSFq3bk379u2ZM2cO9957L506dQKcgRc5NdVm6dmzJ6+//jpdu3alTJkyBAYG5hhMBQcH0717d1q2bMmNN95Iv379ckwvMDCQqVOn0q9fP0JCQujRowdbtmzJcd+HH36YW2+9lc8++4yrr776nFq+nj17smjRIho1akS9evU4cuRInkHe5s2beeaZZ/Dz8yMgIIBJkyblui/k/PpkSUlJoXPnzmRmZp4NUkePHs3tt99OrVq16NKlC7t27QLg5ZdfZtiwYcydO5fevXtTo0YNypUrR0hICK+99ho33HADmZmZBAQEMGHCBOrVq5dnuYwxpsjJzITtC2HFWIhfB6WDoc/fodMIKF25ALNVVkQfZs7qOH7YdoCMTKVXkyql+oe7AAAgAElEQVS8enMLrmlalRL+RbsuTM6naa64CgsL06x50LLYgu8mL7GxsfTv3z/H4DNrBG5ISIhPaaWkpODv70+JEiVYtWoVDz30EFFRUedVHrtfjTFFUnoKbJoHK8fD4R1Qsa4zeXHbu6Bk6QLL9vjpND6L3MPs1buJTTxN5TIluT2sNnd2qku94DL5J3CZiUikqua7fIfV5BlzmcXFxTFkyBAyMzMpWbIk06ZNu9xFMsaYgpV8AiJnwOpJcHIfVGsFt34AzW8B/4ILTX7df4KZK2P5csNektMyCatXiSeua8KNrapTqkTxm56q2AV5ItIA+AdQQVVvu9zlKWw6d+5MSkrKOdtmzZpFq1at8jwuMTGRa6+99g/bf/rpJ4KDg10tY0Fz41xCQ0NzbUKOjY09r/I0btw41ylqjDGmWDm5H9ZMhnXTIeU41O8FN0+AhtcU2EjZ9IxMFm09wMyVsazZdYTAAD9uaVuLP3cNpXnN8gWSZ2FRqII8EZkO9AcOqmpLr+19gXGAP/C+quY6p4mqxgB/EZHPL7Y8hW0NOjesWbPmgo4LDg4+7ybEwqo4nQuc32hoY4y5LA7vdJpkN34CGWnQfKAzUrZWh4LL8lQKn66NY86aOPYdT6Z2pSD+flNThoTVKZRz2hWEQhXkAR8C7wEfZW0QEX9gAnA9EA+sE5H5OAFf9rkl7lfVg24UJDAwkMTERIKDg4tdoGeKD1UlMTHx7NQxxhhTqMRHOoMpti0A/5JOX7tuj0JwwwLLcuOeY8xcFcs3G/eRmpFJz8YhvHpzS65pWhX/IjY69mIVqiBPVZeJSGi2zZ2AnZ4aOkTkU+BmVX0Tp9bvgojISGAkQN26df/wfO3atYmPj+fQoUMXmoUxl0RgYODZCaWNMeayU4WdPznBXexyCKwAPZ+CTg9CuWoFkmVKegYLN+9j5srdRO05RpmS/tzRqQ5/7hpKo6plCyTPoqBQBXm5qAV4r8cVD+Q6d4iIBAOvA+1E5HlPMPgHqjoVmArO6NrszwcEBJxdkcAYY4wx+chIh1++cCYwPrAFytWEG16DDvdCqZwnob9Y+48n8/Ga3Xy8No7Dp1JpEFKG0QOac2uH2pQLDCiQPIuSohDk5VS3mmsnJFVNBEb5lLDIAGBAo0aNLrBoxhhjzBUuNQk2zIaV78HxOAhp4gymaDUESrjf901VWRd7lJmrYvnflv1kqHLNVVUZ3i2UHo2K3oTFBakoBHnxgPeCq7WBBDcSVtUFwIKwsLARbqRnjDHGXDGSEmHdNFgzBc4cgTqd4cZ/QZO+4Of+JMIp6Rks2LiP6eG72LrvBOUDS3Bf91Du6RJK3eCCm1OvKCsKQd46oLGI1Af2AncAd7qRsNXkGWOMMefp6G5YNQE2zIK009DkRmekbL2uBZLdoZMpzFmzm9mrd3P4VCqNq5bljUGtuKVdTUqXLAphzOVTqK6OiHwC9AFCRCQeeFlVPxCRR4D/4Yyona6qv7iRn9XkGWOMMT7av9npb7flC2dOu1ZDoPtjULVgVtvZmnCCGSt28XVUAqkZmVx9VRXu71GfHo1CbNYLHxWqIE9Vh+WyfSGw0O38rCbPGGOMyYMqxIY7I2V3/ggly0KXh5yfCu6P6s/IVH7+9SDTw3exKiaRoAB/hnasw73dQ2lY5codJXuhbO1acl671hhjjLliZWbAr99A+FhIWA+lQ6DLKOj4AARVcj27UynpfBaxhw9XxrI78TQ1KwQyvFsod3SsS4XSNko2u8u2dq2IVAPeAGqq6o0i0hzoqqofuJ2XMcYYY1yUlgybPoUV4+FINFSqD/3egbZ3QkCQ69ntOXKaD1fGMm/dHk6mpNOhXiX+9qem/KlFNUr4uz9440pTEM21HwIzcNaPBdgBzAUKXZBnzbXGGGMMcOYYREx31pU9dQBqtIHbZkDzm8HP39WsVJW1u44wfcUufth6AD8R+rWuwX3d69O2TkVX87rSFUSQF6Kq80TkeQBVTReRjALI56LZwAtjjDFXtBP7YPVEiJgBqSehwdUweCrU7+0MrnBRSnoG32zcx/QVu/gl4QQVSwfwUJ+G3NMllOoVbGnGglAQQV6SZ9UJBRCRLsDxAsjHGGOMMRfi0A5YOQ42zgXNgOa3ONOg1GzrelaHT6UwZ3Ucs1bv5vCpFBpXLcubg1txS9taBJV0t5bQnKsggryngPlAQxFZAVQBbiuAfC6aNdcaY4y5ouxZ60yD8uu3UKIUdBgOXR+Byu4v4/nbgZO8v3wXX0btJTU9kz5XVeH+7vXp2dimQLlUCmR0rYiUAK7CWZJsu6qmuZ6Ji2x0rTHGmGJLFX5b5IyUjVsJgRWh0wjo9CCUreJyVsrK6ESmLY9hyfZDBAb4cWv72tzXvT6NqtoUKG65nKNr/wrMyZqwWEQqicgwVZ3odl7GGGOMyUVGGmz+HFaOh4NboXxt+NOb0P7PUMrdgCs1PZMFGxN4P3wX2/adIKRsKf7v+ibc1aUelcu4v36t8U1BNNeOUNUJWQ9U9aiIjAAsyDPGGGMKWsopWP+Rs/TYiXio0gxumQytbgN/d+ecO346jTlrdzNzZSwHTqTQpFpZ3r61NQPb1iQwwPrbXW4FEeT5iYiopx1YRPyBQhnGW588Y4wxxcapQ7B2CqydBsnHoG436P8ONL7B9ZGycYmnmb5iF/Mi9nA6NYMejUL4162t6d2kivW3K0QKIsj7HzBPRCbjjLAdBXxfAPlcNJtCxRhjTJF3ZBeseg82zIb0ZGja3xkpW6eT61lF7j7K+8tj+N8v+/H3Ewa0qckDPRrQvGZ51/MyF68ggrxngQeBh3AGXiwC3i+AfIwxxpgr176NzmCKrV+B+EObodDtcajSxNVsMjKVRb/sZ9ryGNbHHaN8YAke7N2Qe7uFUq28zW9XmLke5KlqJjDJ82OMMcYYt6jCrqVOcBezGEqWc6ZA6fIwlK/halZJnvVkp6+IJe7IaepWLs3oAc25PawOZUoVRB2RcZtrr5KIzFPVISKyGc9EyN5UtbVbeRljjDFXlMwM2Pq1M8fdvigoUxWufRnC7ocgd5cCO3AimQ9XxjJn9W5OJKfTvm5Fnr+xKTe0qI6/n/W3K0rcDMUf9/zu72KaBcoGXhhjjCnU0s5A1Mew8l04ugsqN4QB46D1HRDgblPp1oQTvB8ew4KNCWRkKn9qUZ0HejagQ71KruZjLh1XJ0P2jKT9n6pe51qil4BNhmyMMaZQOXMU1r0Pa6ZA0iGo2R56POEMqvBzb2oSVWXpjkO8v3wX4TsPU7qkP0PC6nB/9/rUDS7tWj7GXZdlMmRVzRCR0yJSQVVtvVpjjDHmfByPh9WTIPJDSD0Fja6D7k9AaA9Xp0FJSc/g6w0JvB8ew44Dp6hWvhTP9m3KnZ3qUqG0u3PpmcunIHpOJgObReQHIClro6o+VgB5GWOMMUXfwV+d/nab5zmDK1oOdqZBqd7K1WyOJqUye/VuZq7azeFTKTSrUZ53hrShf+ualCzh52pe5vIriCDvW8+PMcYYY/Kye5UT3O34DkoEQdhfoOtfoVI9V7PZc+Q0H4TvYu66PZxJy6B3kyqM7NWAbg2DbfLiYszVIE9E2uHU3v2iqtvcTNsYY4wpFjIzYcf3sGIs7FkDQZWhz/PQcQSUCXY1q83xx5myLJqFm/fh7ycMbFOLkb0acFX1cq7mYwonN6dQeQm4G4gE3haRN1V1mlvpG2OMMUVaeips/gxWjodDv0KFunDj29DubihZxrVssgZTTFkaw6qYRMqVKsGIng24r3t9qlewyYuvJG7W5A0F2qrqaREJxlnKrFAHeTaFijHGmAKXctIZSLFqIpxMgGotYfD70OIW8HdvkENqeiYLNiYwbXkMv+4/SfXygTx/Y1OGda5L+UAbTHElcjPIS1bV0wCqmigihb4Hp61da4wxpsCcOghrJjtToSQfh9CeMPBdaHStqyNlTyan8cnaOKaHx7L/RDJXVSvHmNvbMLCNDaa40rkZ5DUUkfmevyXbY1R1oIt5GWOMMYVTYrQzeXHUx5CRCs0GONOg1O7gajb7jyczY8UuPl4Tx8mUdLo2CObNW1vRp0kVG0xhAHeDvJuzPR7jYtrGGGNM4bZ3vTOYYut8pxm2zTDo9hiEuNslaMeBk0xdFsPXUXvJyFRubFWDB3s1oHVtd5c3M0Wfa0Geqi51Ky1jjDGmSFCF6J+d4G7XMihV3lmZovMoKFfdxWyU1TFHmLosmsXbDxEY4Mednerylx4NbGUKk6uCmCfPGGOMKd4y0mHrV05wt38zlK0O178KHe6DwPKuZZOekcn3v+xn6rIYNsUfJ7hMSZ66vgn3dKlHpTIlXcvHFE8W5BljjDG+Sj0NUXOcPnfHdkNwYxj4HrQeAiVKuZbNmdQMPovcw7TlMew5cobQ4NK8Pqglt7avTWCAe2vXmuLN9SBPRG5X1c/y22aMMcYUGaePwNppsHYKnE6E2h3hT2/AVTeBn3sjWBNPpTBz1W5mrYrl6Ok02tWtyD9uasb1zavj72eDKcz5KYiavOeB7AFdTtsKhIjcAvQDqgITVHXRpcjXGGNMMXRsD6yaAOtnQtppaPwnp89d3a6uToMSeziJactj+DwynpT0TK5rVo0HezcgrF4lGylrLpibK17cCNwE1BKR8V5PlQfSfUxjOtAfOKiqLb229wXGAf7A+6r6Vm5pqOpXwFciUglnhK8FecYYY87PgV+cNWU3f+4Ec61ud0bKVmvuajYb4o4yZWkM/9u6nwA/Pwa3r8UDPRvQqGpZV/MxVyY3a/ISgAhgIM7SZllOAk/6mMaHwHvAR1kbRMQfmABcD8QD6zzz7/kDb2Y7/n5VPej5+wXPccYYY0z+VGH3Cie4+20RBJSBzg9Cl4ehYh3XssnMVH7+9SBTl8WwNvYI5QNL8FDvhtzbLZSq5W3ZMeMeN6dQ2QhsFJGPcSZDbuJ5aruqpvmYxjIRCc22uROwU1VjAETkU+BmVX0Tp9bvHOLUa78FfKeq6y/kXIwxxlxBMjNh+7cQPhb2RkDpYLj6H9DxAShd2bVsUtIz+GrDXqYuiyH6UBK1KgbxYv/mDO1Yh7KlbBykcV9B3FXdcGriYnGCvToiMlxVl11gerWAPV6P44HOeez/KHAdUEFEGqnq5Jx2EpGRwEiAunXrXmDRjDHGFFnpKbDxU1g5HhJ3QsV6cNMYaHsXlHRv7rnjp9OYvWY3H66M5dDJFJrXKM+4O9pyU6saBPjbsmOm4BREkPcOcIOqbgcQkSbAJ8CFrueSU49TzW1nVR0PjM/tea/9porIPmBAyZIl3V1rxhhjTOGVfBwiZsDqSXBqP1RvDbd+AM1vAX/3Phb3HjvD9PBdfLo2jqTUDHo2DuGdIW3o0SjEBlOYS6IggryArAAPQFV3iEjARaQXD3h3hqiN0//voqnqAmBBWFjYCDfSM8YYU4id3A+rJzoBXsoJqN8bBk2CBle7OlJ2a8IJpi6LZsGmfQAMaF2DEb0a0KJmBdfyMMYXBRHkRYjIB8Asz+O7OHcgxvlaBzQWkfrAXuAO4M6LK6JDRAYAAxo1cnddQWOMMYXI4Z2wcpzTNJuZDs1vhu6PQ812rmWhqoTvPMzUZTEs/+0wpUv6c2+3UO7vUZ9aFYNcy8eY8yGqubZ8XliCIqWAvwI9cJpalwETVTXFh2M/AfoAIcAB4GVV/UBEbgLG4oyona6qr7tZ5rCwMI2IiHAzSWOMMZdbfISz7Ni2b8C/JLS7C7o+AsENXcsiPSOThVv2M2VpNL8knKBKuVLc2y2UuzvXo0Lpi2nEMiZ3IhKpqmH57ud2kOfJvCTQDMjEGV2b6nomLrIgzxhjiglV2PmjM1J2dzgEVoCOI5ypUMpWdS2b7MuONahShpE9GzCofS1KlbBlx0zB8jXIK4hlzfoBk4FonJq8+iLyoKp+53ZeF8uaa40xppjISIMtXzhz3B38BcrXcpYda/9nKFXOtWyOJqXy0ardzFwVy5GkVNrVrcgL/ZpzfbNq+NmyY6aQKYjm2l+B/qq60/O4IfCtqjZ1NSMXWU2eMcYUUalJsH4WrHoPju+BKk2d/nYtb4MSJV3LJv7oaT4I38Wna/dwJi2Da5pWZVTvhnQMtWXHzKXnak2eiLT3nlg4++NsDmYFeB4xwMFc9r2srCbPGGOKqKREWDsF1k6FM0ehThe46d/O2rJ+7s099+v+E0xZGsP8jQkIMLBtTR7s1ZCrqrtXO2hMQfGpJk9EpqnqiNweZ9t3ElAPmIczn93twHZgBYCqfuFCuV1lNXnGGFNEHI2FVROc2rv0M3DVTU7NXd0urmWhqqzZdYTJS6NZsv0QpUv6c0fHuvylp42UNYWDqzV52QO63AI8j0CckbG9PY8PAZWBAThBX6EL8owxxhRy+zY5/e1++RLED1oPhW6PQlX3egJlZCo/bN3P5KUxRO05RnCZkvzf9U24p2s9KpZ2r+nXmEsl3yDPsxbsXUADVX1VROoC1VV1bU77q+p9LpexwFhzrTHGFGKqsGuZE9xF/wQly0KXh6DLw1ChlmvZpKRn8MX6vUxbFkPM4STqVi7NP29pye0dahMYYCNlTdGVb3Otp/k1E7hGVZuJSCVgkap2zLbfCGCJqv7mCQw/AG4FdgPDVXVDgZyBC6y51hhjCpHMDNi2wAnuEtZDmarQZRSE3Q9BlVzL5kRyGnNWxzF9xS4OnUyhZa3yjOrdkL4tqlPC1pQ1hZibzbWdVbW9iGwAUNWjnnnwsnsc+NDz9zCgDdAAaIezlmxPXwpujDHmCpWWDBs/gZXvwpFoqNwA+v8H2twJAYGuZXPgRDLTw3cxZ00cp1LS6dk4hP8MaUv3RsE2UtYUK74EeWki4o/Tnw4RqYJTs5dduqqmef7uD3ykqonAjyLytiulNcYYU/ycOQYRH8DqyZB00Flu7PaZ0GwA+LnXXLrz4CmmLovmyw17ychUbmpVg1G9G9Kylq0pa4onX4K88cCXQFUReR24DXghh/0yRaQGcBS4FvBeeqxQDkeyPnnGGHMZnUhwRspGfgipp6Dhtc5I2fq9wMUatcjdR5myNJofth2gpL8fd3Ssy4ieDagbXNq1PIwpjPIN8lR1johE4gRuAtyiqtty2PUlIAJnfdn5qvoLgIj0xpkrr9BR1QXAgrCwsLxGCxtjjHHToe2wYjxsmguaAS0GO8FdjdauZZGZqSzefpApS2NYG3uECkEBPHp1I4Z3CyW4bCnX8jGmMPNldG1lnMmMP/HaFuDVNAuAqn4jIvWAcqp61OupCGCoS+U1xhhTVMWtgRVjYftCKBEEHe6Fbo9ApVDXskjLyGR+VAJTlkWz48ApalYI5MX+zbmjYx3KlHJ9JU9jCjVf7vj1QB2cZlgBKgL7ROQgMEJVI7N2VNV0z354bUtyr7jGGGOKlMxM+G2RE9zFrXJGx/Z+FjqNhDIhrmWTlJLOJ2vjmB6+i4TjyVxVrRzvDGnDgDY1CbCRsuYK5UuQ9z3wpar+D0BEbgD64qxoMRHoXHDFM8YYUySlp8KWz51m2UPboEId6PsWtLsHSpV1LZvDp1L4cEUss1bv5viZNDrVr8zrg1rR56oqNlLWXPF8CfLCVHVU1gNVXSQib6jqUyJSpDs22MALY4xxWcopWD/TGVBxYi9UbQGDpkLLweAf4Fo2uxOTmLY8hs8i4knNyOSG5tV4sHdD2td1bx49Y4o6X4K8IyLyLPCp5/FQ4KhnWpWcplJBRAYCvTwPl3oGOBQ6NvDCGGNccuoQrJkM696H5GNQrwf0HwuNr3d1pOzm+ONMXhbNd5v3UcLPj8HtazGiVwMaVnGvdtCY4sKXIO9O4GXgK5w+eeGebf7AkOw7i8ibQCdgjmfTYyLSTVWfd6XExhhjCo8jMbDyPYiaA+kp0LQf9HgSauc7Gb/PVJXwnYeZvDSaFTsTKVeqBCN6NeD+7vWpVt69SZKNKW58mULlMPBoLk/vzGFbP6CtqmYCiMhMYANgQZ4xxhQXCVHOYIqtX4NfCWhzB3R7DEIau5ZFekYmC7fsZ8rSaH5JOEHVcqV47sam3Nm5LuUD3Wv6Naa48mUKlSbA00Co9/6qek0eh1UEjnj+tqnEjTGmOFCFmMXOmrIxS6BUeej2KHR+CMrXcC2bM6kZfBa5h2nLY9hz5AwNqpThX7e24pZ2tShVwr0VMIwp7nxprv0MmAy8D2T4sP+bwAYRWYzTvNsL+PsFl9AYY8zllZEO2752grt9G6FsNbjuFQi7DwLd+x5/7HQqH63azYcrYzmSlErbOhX5x03NuaF5Nfz8bKSsMefLlyAvXVUn+Zqgqn4iIkuAjjhB3rOquv8Cy2eMMeZySTsDG2bDqvfgaCwEN4IB452m2RLuTa6w99gZ3l8ew9x1ezidmsE1TavyYK8GdKpf2aZBMeYi+BLkLRCRh3HWr03J2qiqR3LaWUR+UtVrgfk5bCtUbAoVY4zJwekjsO4DZ7Ts6cNQKwxueA2uugn83Gsu/XX/CaYsjWH+xgQEGNimJiN7N6Bp9fKu5WHMlcyXIG+45/czXtsUaOC9k4gEAqWBEBGphFOLB1AeqHmR5SwQNoWKMcZ4OR4PqyZC5IeQlgSNroceT0C97q5Ng6KqrNl1hClLo1m8/RClS/ozvGsof+lZn1oVg1zJwxjj8GV0bX0f03oQeAInoIvk9yDvBDDhgkpnjDGm4B3c5vS32/yZM7ii1W3OSNnqLV3LIjNTWbT1AJOXRhO15xjBZUryf9c34Z6u9ahYuqRr+RhjfufTas0i0hJoDpydkEhVP/LeR1XHAeNE5FFVfdfVUhpjjHGXqrOW7IpxsON7CCgNHR+Arn+FinVdyyYlPYMv1+9l6rIYYg4nUadyEP+8uQW3h9UhMMBGyhpTkHyZQuVloA9OkLcQuBFnQuSPctrfAjxjjCnEMjNhx3cQPhbi10LpYOjzd+g0AkpXdi2bE8lpzFkdx/QVuzh0MoUWNcvz7rB23NiyOiX8/VzLxxiTO19q8m4D2gAbVPU+EamGM52KMcaYoiI9BTbNg5Xj4fAOp7bupjHQ9i4oWdq1bA6cSGZ6+C7mrInjVEo6PRqF8J8hbeneKNhGyhpzifkS5J1R1UwRSReR8sBBsg26MMYYU0gln3AGUqyeCCf3QbVWcOsH0PwW8Pepx45Pog+dYurSGL7csJf0zExualWDUb0b0rKWzYdvzOXiyzs8QkQqAtNwBlScAtbmtrM4X9XuAhqo6qsiUheorqq5HmOMMcZlJw/AmkmwbjqkHIfQnnDze9DwWtdGygKsjzvK5CXR/LDtACX9/RjasQ4P9KxPveAyruVhjLkwvoyufdjz52QR+R4or6qb8jhkIpAJXAO8CpwE/oszOXKBE5FmwONACPDT+UzkbIwxRV5itNMkG/UJZKRC84HQ/XGo1cG1LFSVxdsPMnlJDGtjj1AhKIBHrm7E8G6hhJR1b5JkY8zF8XV0bS2gXtb+ItJLVZflsntnVW0vIhsAVPWoiPg0Pl5EpgP9gYOq2tJre19gHOAPvK+qb+WWhqpuA0aJiB9O7aMxxhR/eyOdwRTbFoB/SWh7p7OubHBD17JIy8hkflQCU5fFsP3ASWpWCOTF/s25o2MdypRyr+nXGOMOX0bX/gsYCmzl97VrFcgtyEsTEX/PPohIFZyaPV98CLyH18hdT1oTgOuBeGCdiMzHCfjezHb8/ap6UEQGAs950jLGmOJJFaJ/coK72OVQqgL0eBI6j4Jy1VzLJiklnU/X7eGD5TEkHE/mqmrleGdIGwa0qUmAjZQ1ptDy5avXLcBVqpqS756O8ThLoFUVkddxRue+4MuBqrpMREKzbe4E7FTVGAAR+RS4WVXfxKn1yymd+cB8EfkW+NjHchtjTNGQkQ6/fOnMcXdgM5Sr6Sw71n44BLq3JNjhUynMXBnLR6t2c/xMGp3qV+a1QS25+qqqNlLWmCLAlyAvBgjAa93avKjqHBGJBK7FWfXiFk8T6oWqBezxehwPdM5tZxHpAwwGSuHM65fbfiOBkQB167o38acxxhSY1NOwYTaseheOxUFIE7h5ArQaAiXcWzUiLvE0U5dH81lEPKkZmVzfrBqj+jSkfd1KruVhjCl4uQZ5IvIuTpPraSBKRH7CK9BT1cdyOW4cMFdV3VrKLKevi5rbzqq6BFiSX6KqOhWYChAWFpZresYYc9mdPgJrp8KaKXDmCNTpDH3/BU36gp97zaVb9h5n8tJoFm7eRwk/Pwa1q8WIXg1oVLWsa3kYYy6dvGryIjy/I4H555HmeuAFEWmC02w7V1Uj8jkmL/FAHa/HtYGEi0jvLBEZAAxo1KiRG8kZY4y7jsXByvdgwyxIOw1NbnRGytbr6loWqkr4zsNMWRpD+M7DlCtVghG9GnB/9/pUKx+YfwLGmEJLVHOuxPIMmKiiqluzbW8JHFDVQ3kmLFIZuBW4A6irqo19KpDTJ++brNG1IlIC2IHT/LsXWAfcqaq/+JKeL8LCwjQi4mLiUGOMcdH+LU5/uy3/dea0azUEuj8GVZu5lkV6RibfbdnPlGXRbNl7gqrlSnF/j/rc2bku5QMDXMvHGOM+EYlU1bD89surJu9dIKc55moBfwfuzCftRkBTIBRnZG6+ROQTnHVyQ0QkHnhZ/z979x1eR3UtfPi31GW5W+5yk2yMe5N7JcF0Y3DokEAAlwAhJPfmS27g3gApcG9CQgkg2djYdAihmF4SkDvu3QZbkpvcmyxbXWd9f+xRUBRJPrbnqK73efRYM2dm1j77jKTlvWfvrTpbRO4BPsGNqJ3jV4JnLXnGmFpDFXYsgsWPw/bPITLOjZIdeRc0S/AtTH5RCX9duZtZCzPZdTSXxPg4Hp3Sj6sHdyQ6Ity3OMaYmldVS94mVe1TyWsby85jV+61/8UNfEgH3gDeUtXjPpU3JKwlzxhTYxoQ8yoAACAASURBVAIlsPUDl9xlrYJG8TBiBiTfAY1a+hbmeG4hLyzdybwlOzhyqpCBnZozY3wSF/VuS1iYjZQ1pi7xoyWvqvb6ql7LBEaq6uHTBa9p1pJnjKkxxQWw7lVY8hQc2Q4tusLlj8HAmyEy1rcwWcfzmL0wk9dW7CK3sIQLerZmxvgkhnVradOgGFPPVZXkbRORy1T1X6YhEZFLcdOqUG7/+aq6FbeubWdvzdp/UtXVfhTYT6r6HvBecnLy1JouizGmgcjPhpVzYNmzcPIAtB8A1zwPvSdDmH/dpVv3n2BmWgbz17lxalcO6MC08Ymc386/efSMMbVbVUneT4H3ReQ63AhbgGRgJBVPQvwz3Lxzj1XwmuLWsjXGmIbpxD5Y9gysfB4KcyDxArg6FRInuMEVPlBVlmceJSUtnS++PkRsZDjfH9mFO8cm0rG5f62Dxpi6odIkT1W/EZF+uAEWpc/fpQHTVTW/guOned9eWv51EamV4/Ctu9YYE3KHt7mRsutfh0Ax9L7KTYPSYaBvIQIB5dPNB0hdkM6aXcdpGRfFzyaex/dHdKFFnH+TJBtj6pZKB16c9QVFVqvq4NPtq01s4IUxxne7V7jBFFs/gIhoGHQLjLwHWnbzLURBcQlvr85i5oIMMg6folPLWKaNTeSaIZ2IjbKRssbUV34MvDjTgO1w06vEisggvl2poinQyK84xhhTa6nCtk9dy93OxRDTHMb9JwybDo1b+xbmRH4Rr3y1izmLMjmYU0CfDk158sZBXNa3HRHh/q2AYYyp23xL8oCLgdtwK1L8qcz+HNy8erWOddcaY3xRUuQmLl78BBzcDE0T4OJHYPAPINq/JcEOnshn9uJMXlm2i5yCYsZ0j+ex6wYwpnu8jZQ1xvyboLprRSQWt2rF10Ec+z1V/Zsfhasu1l1rjDkrBSfdkmNLn4bs3dC6l3vert81EO7fqhHph04yMy2Dt9dkURwIcGm/9swYl0S/hGa+xTDG1B2+ddd6rV1/BKKAbiIyEHhYVa+s6HhV/ZuIXA70AWLK7H842MIbY0ytduowfJUKK2ZB3jHoPMrNcdd9IoT51126etcxUtPS+XTzAaLCw7huaAJTxybSpVWcbzGMMfVXMN21DwLDgC8BVHWtt75shUQkBfcM3gXAc8A1uLnzah3rrjXGnJGjma7Vbs1LUJwHPS+HMfdBp2G+hVBVvvj6IClpGSzPPEqz2EjuuaA7t47qSnzjaN/iGGPqv2CSvGJVzT6D5z1GqWp/EVmvqg+JyGPAW2dfxNCxyZCNMUHZt849b7fpbZBwGHA9jPoJtD7PtxBFJQHeW7eX1LQMvj6QQ/tmMTxweS9uHNaZuGg/H582xjQUwfzm2CgiNwHhItIDuBdYUsXxed6/uSLSATgC+DdngDHGVAdVyExzyV36PyCqCYy8G0bcBU07+BbmVEExr63YzeyFGezNzue8to157NoBXDmwA5E2UtYYcw6CSfJ+DNwPFACvAp8Av6ni+PdFpDnwB2A1brWL586xnMYYUz0CJbBlPix6HPathbg28N1fQ/LtENvctzCHTxYwb8kOXli6k+y8IoZ1bclvr+7LBT3b2EhZY4wvfJ8M+V8uLhINxKhqdsiC+MBG1xpjKMqDta/AkqfgWCa0TILR90L/GyDSv0V7dh3JZdbCDN5YuZuC4gAX9W7L9PFJDOnSwrcYxpj6zc/Rte/hWuPKygZWAqmlS5iJyJQqroGq1rrn8mzghTGGvGOwYjZ8lQKnDkGHwTDxITj/Cgjzb9WIjVnZpKSl8+GGfYSHCVMGJTB1XCLd2/g3j54xxpQVTHdtBtAa11ULcD1wADgPmAV839s/qYprKLVw8IUNvDCmAcvOgmXPwKq5UHgSul8Io++DrmPAp+5SVWXx9iOkpKWzaPthGkdHMHVsIreP6UbbprVySW9jTD0STJI3SFXHldl+T0QWqOo4EdlUulNVf+h/8YwxxmcHt8KSJ2H9G6AB6DvFTWDcrp9vIYpLAny0cT+pC9LZmHWC1k2i+cUl53PziM40jfFvkmRjjKlKMEleaxHprKq7AESkMxDvvVZY/mARaQv8HuigqpeKSG9gpKrO9qvQxhhzxnYtc4MpvvkIImLdQIqRd0OLLr6FyC8q4a8rdzNrYSa7juaSGB/Ho1P6cfXgjkRH+Nf1a4wxwQgmyfsPYJGIpAOCmw7lLhGJA+ZVcPxc4HnciFyAb4DXAUvyjDHVKxCAbZ+45G73MohtAeN/CcOmQVwr38Iczy3kxaU7mbtkB0dOFTKwU3N+dVkvJvZuS3iYjZQ1xtSM0yZ5qvqhNz/e+bgkb2vpYAvg8QpOiVfVN0Tkv7zzi0WkxLcSG2PM6RQXwoa/um7ZQ1uhWWe49P9g0C0Q5d+SYFnH85i9MJPXVuwit7CEC3q2Zvr4JIZ3a2nToBhjalyw06j3AHri1qLt742WfaGSY0+JSCu8EbkiMgI3GtcYY0KrIAdWzXMDKk5kQdu+MGUW9Lkawv17Fu7r/TmkpqUzf91eFLhyQAemj0/k/HZNfYthjDHnKpgpVH4NTAB6Ax8ClwKLgMqSvJ8B84EkEVmMG5l7rR+F9ZtNoWJMPXHyoJsCZcVzkJ8NXcfCpCeh+3d9HSm7PPMoqQsy+MfWg8RGhvP9kV24Y0w3Elo08iWGMcb46bSTIYvIBmAAsEZVB3gDK55T1UqnTBGRCFzLnwBfq2qRj2X2nU2GbEwddSTdTV689hUoKYRek9w0KAlDfAsRCCifbTlASlo6a3Ydp2VcFLeN6sr3R3ShRVyUb3GMMSZYvk2GDOSpakBEikWkKXAQSKzqBFUtBjZ5BZkoIv9PVScGU3BjjDmtvWvcYIot8yEsAgbcCKPuhXj/WuULikt4Z00WqQsyyDh0ik4tY3l4ch+uHdKJ2CgbKWuMqf2CSfJWemvRzgJWASeB5eUPEpHvAClAB+Ad3DQqL+Ba837nV4GNMQ2UKmR84ZK7zDSIburmtxs+A5q08y3MifwiXvlqF3MWZXIwp4De7Zvy5I2DuKxvOyLCw3yLY4wxoRbM6Nq7vG9TRORjoKmqrq/g0MeAacBS3HN7y4D/VtUn/CqsMaYBKimGze/A4idg/3po3A4mPgxDfggx/g10OHgin9mLM3ll2S5yCooZ3b0Vj103gDHd422krDGmTgpm4MXfVfW7AKq6o/y+MlRVv/S+f0dEDlmCZ4w5a4W5sPZl98zd8Z3Qqgdc+RT0vx4ion0Lk37oJLMWZPDW6iyKAwEu7deeGeOS6JfQzLcYxhhTEypN8kQkBmgExItIC1y3K0BTXJdsec1FZMq/XuLbbVWtdWvXGmNqodyjbpTsVymQewQShsLFv4eel0GYf92la3YdIyUtnU83HyAqPIzrhiZw55hEusb7N4+eMcbUpKpa8qYD9+ESulV8m+SdAJ6u4Pg0YFIl2wpYkmeMqdzx3bD0aVj9AhSdgh4Xu2fuuozydRqUL78+xLNp6SzPPErTmAjuntCd20Z3Jb6xf62DxhhTG1Sa5HldrU+IyI9V9anTXUhVf+hryYwxDcOBTbD4Sdj4ptvuew2Mvhfa9vEtRFFJgPfW7SU1LYOvD+TQvlkMD1zeixuGdaZxdLBzwhtjTN0SzMCLp0RkFNC17PFVrHhR47x1dRcAv1bV92u6PMaYclRh5xJY/Dhs+xQi49x6siPuguadfAtzqqCY11fsZvaiTLKO53Fe28Y8du0AJg3oQFSEjZQ1xtRvwQy8eBFIAtYCpWvQKpWveHHWRGQOcAVwUFX7ltl/CfAEEI6biPnR01zqF8AbfpfPGHOOAgH4+kOX3O1ZAY1awQX3w9A7oVFL38IcOVnAvCU7mLd0J9l5RQzr2pLfXNWHCee1ISzMRsoaYxqGYPopkoHeerqlMfwxF/gLZRJIEQnHPQM4EdgDrBCR+biE75Fy598O9Ac249bZNcbUBsUFsP511y17ZBs07wKX/REG3gxR/i0JtutILrMWZvDGyt0UFAeY2LstM8YnMaRLC99iGGNMXRFMkrcRaAfsC+aCItII+A+gs6pOFZEeQM9guk1VdYGIdC23exiwXVUzvOu/BkxW1UdwrX7l418AxOHW2s0TkQ9VNVDBcdNw8/rRuXPnYN6aMeZM5Z+AVc/DsmchZx+06w/fmw29r4Jw/56F25iVTeqCDD5Yv5fwMOHqQR2ZNi6J7m0a+xbDGGPqmmB+y8YDm0VkOVBQulNVr6zk+Odxo3FHett7gL8CZ/tsXEdgd5ntPcDwyg5W1fsBROQ24HBFCZ533ExgJri1a8+ybMaYiuTsd4ndyjlQcAK6jYernoHEC3wdKbt4+xFSF6SzcNthGkdHMHVsIreP6UbbptaQb4wxwSR5D57hNZNU9XoRuRFAVfPk3KaLr+jc0yZlqjr3tBcWmQRM6t7dv/UujWnQDm+HJU/CulchUAy9rnTToHQc7FuI4pIAH2/aT2paBhuysmndJJpfXHI+Nw3vTLPYSN/iGGNMXRfM6No0EekC9FDVz73u2KpW5y4UkVi8RExEkijTAngW9gBlh9slAHvP4Xr/pKrvAe8lJydP9eN6xjRYe1bB4j/DlvchPAoG3QIj74FWSb6FyC8q4a+r9jBrQQa7jubSLT6OR6b04+pBHYmJrOpXkjHGNEzBjK6dint2rSVulG1HIAUov6xZqV8DHwOdRORlYDRw2zmUcQXQQ0S6AVnADcBN53C9f7KWPGPOgSps/9ytKbtjIcQ0g7E/g+EzoHEb38Iczy3kxaU7mbtkB0dOFTKgU3N+ddn5TOzdjnAbKWuMMZWS0w2aFZG1uMEPX6nqIG/fBlXtV8U5rYARuK7WZap6OKjCiLwKTMA9B3gAN8/dbBG5DHgc14I4R1V/F8z1gpWcnKwrV67085LG1F8lRbDpbZfcHdgITTrAyLthyK0Q3cS3MHuP5zF7USavLt9FbmEJE3q2Zsb4JIZ3a8m5PQFijDF1m4isUtXk0x0XzDN5BapaWPpLVUQiqOKZOBG5GviHqn7gbTcXkatU9Z3TBVLVGyvZ/yHwYRBlPSPWkmfMGSg8BatfdEuPZe+C1ufDVc+6FSoionwL8/X+HFIXpDN/7V4UuHJAB6aNS6RX+6a+xTDGmIYgmJa8/wOOAz8AfgzcBWwuHcVawfFrVXVguX1rSlsBayNryTOmCqeOwPKZ7ivvKHQaAWPuc2vLhvmzaoSqsmLHMVLS0vnH1oPERoZz/dBO3Dm2Gwkt/JtHzxhj6gM/W/J+CdwBbACm41rUnqvi+Ip+69vikMbUNcd2ula71S9AcR70vMyNlO08wrcQgYDy2ZYDpKals3rXcVrGRfHTC8/jByO70CLOv9ZBY4xpiIJJvmJxz8HNgn+uQBEL5FZy/EoR+RNulQrFtf6t8qGsvrPuWmMqsH+De95u41sgYdD/ehj1Y2hzvm8hCopLeGdNFqkLMsg4dIqEFrE8PLkP1w7pRGyUjZQ1xhg/BNNduwy4UFVPetuNgU9VdVQlx8cB/w1ciBt48SnwW1U95WfB/WTdtabBU3UjZBc9Dul/h6jGMOQ2GHEXNOvoW5gT+UW8+tUu5izO5MCJAnq3b8qMCUlc1rcdEeH+dP0aY0x952d3bUxpggegqie9ufIq5CVzvwyumMaYGhUoga3vu+Ru72qIaw3f+W8YegfE+rfe68ET+cxZvIOXl+0kp6CY0d1b8YdrBjC2R7yNlDXGmBAJJsk7JSKDVXU1gIgMAfLKHyQij6vqfSLyHhWMvq1iGbQaY921psEqynerUix5Co6mQ4tucMWfYcCNEBnrW5iMQyeZuSCDt1ZnURwIcGnf9kwfn0j/hOa+xTDGGFOxYJK8nwB/FZHSVSbaA9dXcNyL3r9/9KNg1cFWvDANTt5xWDkblqXAqYPQfiBcO9ctPxbm37Nwa3YdIzUtg0827ycyPIxrkxOYOjaRrvFxvsUwxhhTtSqTPBEJA6KA84GeuGfstqpqUfljVXWVNyhjqqreEorCGmPO0om9sOwZWDkXCnMg6Tsw+j7oNg586i5VVb78+hApael8lXmUpjER3D2hO7eO6krrJtG+xDDGGBO8KpM8VQ2IyGOqOhLYeLqLqWqJiLQWkShVLfStlMaYs3PoG1jyBKx7HbQE+kyB0fdC+wG+hSgqCfD++r2kpmWwdX8O7ZvF8MDlvbhhWGcaR9vsScYYU1OC+Q38qYh8D3hLTzcU19kBLBaR+cA/R9Sq6p/OroihY8/kmXpr93I3mOLrDyAi1o2UHXUPtOjqW4jcwmJeW76b2YsyyTqeR482jfnjtQO4ckAHoiJspKwxxtS0YJK8nwFxQImI5OG6bFVVK1tjaK/3FQb4t5BlCNgzeaZeCQRg26dujrtdS9zo2PG/gGHTIC7etzBHThYwb8kOXli2k+O5RQzt2oKHJ/fhgp5tCAuzkbLGGFNbnDbJU9WgEzURaQ18AGxX1ePnUjBjTJBKimDDmy65O7QFmnWCSx6FQd+H6Ma+hdl1JJfnFmXwxsrd5BcFmNi7LTPGJzKkS0vfYhhjjPHPaZM8cZNY3Qx0U9XfiEgnoL2qLi933J3A74F0oJuITFPV+aEotDEGKDgJq+fB0mfgxB5o0xuungl9p0B4pG9hNmZlk7oggw/W7yU8TLh6UEemjUuke5ta3VBvjDENXjDdtc8AAeA7wG+Ak7gly4aWO+4+oI+qHhKRROBlwJI8Y/x28hAsT4XlsyD/OHQZ7ea46zHR15GyS9KPkJKWzsJth2kcHcGdYxO5fXQ32jWL8SWGMcaY0AomyRuuqoNFZA2Aqh4TkYpWDi9U1UPeMRkiUuvnTLCBF6ZOOZrpJi9e+zIUF8D5l7tpUDqV///W2SsJKB9t3EdqWgYbsrKJbxzN/7ukJzcP70KzWP9aB40xxoReMElekTf/ncI/n7sLVHBcgog8Wdm2qt57TiUNARt4YeqEfevcSNnN70BYBPS/Hkb/BOJ7+BYiv6iEv67aw6wFGew6mku3+DgemdKPqwd1JCbSv0mSjTHGVJ9gkrwngbeBNiLyO+Aa4IEKjvt5ue1V51g2YxouVcj40g2myPgCopvCqB/D8B9B0/a+hcnOLeLFZTuYu2QHh08WMqBTc3512flM7N2OcBspa4wxdVowo2tfFpFVwHdx06dcpapbKjhuXgjKZ0zDEiiBze+65G7fWmjcFi58EJJvh5hmvoXZezyP2YsyeXX5LnILS5jQszXTxyUxIrEl4tNzfcYYY2pWpUmeiMQAM4DuwAYgVVWLq6tgxjQoRXnuWbslT8GxHdCqO0x6EgbcABH+Pd76zYEcUtLSmb92LwpM6t+e6eOT6NW+smkvjTHG1FVVteTNA4qAhcClQC/cCFpjjF/yjsGK5+CrVDh1CDomw0W/hZ6XQZg/z8KpKit2HCM1LZ2/bz1IbGQ4t4zowp1ju5HQopEvMYwxxtQ+VSV5vVW1H4CIzAaWV3FsnWSja02Nyd7j5rdbNReKTkH3iTDmPjcdik/dpYGA8vmWA6SkpbN613FaxkXx0wvP4wcju9AirqIB8sYYY+qTqpK8otJvVLX4dM/piMhTeCNwK2Kja40BDm6BxU/Chjfc4Iq+33MjZdv19S1EQXEJ767ZS+qCdNIPnSKhRSwPT+7DtUM6ERtlI2WNMaahqCrJGyAiJ7zvBYj1titbu3al9+9ooDfwurd9LTbS1jR0O5fC4sfhm48hshEMvRNG3g3NO/sWIie/iFe+2sWcxZkcOFFAr/ZNeeKGgVzerz0R4WG+xTHGGFM3VJrkqeoZ/Ze/dHStiNwGXKCqRd52CvDpOZTRmLopEIBvPnIjZXd/BbEtYcKvYNhUaOTfeq8HT+Tz/JIdvLRsJzn5xYxKasUfrhnA2B7xNlLWGGMasGDmyTtTHYAmwFFvu7G3z5iGobjQdccufhIOf+1a6y79Awy6BaL8G+iQcegksxZm8LdVWRQHAlzatz3TxyfSP6G5bzGMMcbUXaFI8h4F1ojIF972eODBEMQxpnbJPwGr57kBFTl7oW0/mPIc9Lkawv37UVu7+zgpX6bzyeb9RIaHcW1yAlPHJtI1Ps63GMYYY+o+35M8VX1eRD4Chnu7fqmq+/2OY0ytcfIgLHsWVsyGgmzoOhYmPwVJ3/VtpKyq8uU3h0j5Mp2vMo/SNCaCuyYkcduobrRuUuuXiTbGGFMDfE/yxD0EdCGQqKoPi0hnERmmqvVuChbTwB1JhyVPwtpXoaQQel/pRsp2HOJbiKKSAO+v30tqWgZb9+fQrmkMD1zeixuGdaZxdCga4o0xxtQXofgr8QwQAL4DPAzkAH8DhoYgljHVL2u1Gym7eT6ER8HAm9y6sq2SfAuRW1jM6yt289zCTLKO59GjTWP+eO0ArhzQgagIGylrjDHm9EKR5A1X1cEisgZAVY+JSLXNvCoiE4DfAJuA11T1y+qKbeoxVUj/Oyx6HHYshOhmMOanMHwGNGnrW5gjJwuYt3QnLyzdwfHcIoZ2bcHDk/twQc82hIXZSFljjDHBC0WSVyQi4XgTI4tIa1zL3mmJyBzgCuCgqvYts/8S4AkgHHhOVR+t4jIKnARigD1n9Q6MKVVSDJvfcS13+zdAkw5u2bHBt0KMf+u97j6ay6yFGbyxcjf5RQEu7NWWH01IZEgX/6ZaMcYY07CEIsl7EngbaCMivwOuAR4I8ty5wF+AF0p3eAnj08BEXNK2QkTm4xK+R8qdfzuwUFXTRKQt8Cfg5rN/K6bBKsyFNS/B0qfg+C6IPw8mPw39roMI/xqmN2ZlM3NBBh9s2EeYwFUDOzJ9fCLd2zTxLYYxxpiGKRSja18WkVXAd3GrY1ylqluCPHeBiHQtt3sYsF1VMwBE5DVgsqo+gmv1q8wxoNJhhyIyDZgG0Lmzf6sOmDou9ygsnwlfpULeUeg0HC75XzjvEgjz51k4VWVJ+hFS0tJZuO0wjaMjuGNMN24f3Y12zWJ8iWGMMcaEYnTtbOApVX26zL4HVfXBs7xkR2B3me09fDs9S0XxpwAXA81xrYIVUtWZwEyA5OTkStfcNQ3E8V2w9GlY/QIU5bqkbvR90GWkbyFKAsrHG/eTkpbOhqxs4htH8/8u6cnNw7vQLDbStzjGGGMMhKa79mJgiIj8SVVLu12v5OwnRK7oafNKkzJVfQt4K6gLi0wCJnXv3v0si2bqvP0b3bJjG//m5rTrd50bKdu2t28h8otKeHPVHmYtzGDnkVy6xcfxyJR+XD2oIzGRZ7R6oDHGGBO0UCR5B4EJwMsiMhz4CRUnasHaA3Qqs50A7D2H6/2Tqr4HvJecnDzVj+uZOkIVdi52I2W3fwaRcW6U7Mi7oFmCb2Gyc4t4cdkO5i7ZweGThQxIaMYvbx7MRX3aEW4jZY0xxoRYKJI8UdUTwCQReRBIA5qdw/VWAD1EpBuQBdwA3HTOpcRa8hqcQAls/cCNlM1aBY3i4TsPQPId0Mi/Uax7j+cxZ1Emry7fxanCEsaf15oZ45MYkdgS8WkFDGOMMeZ0QpHkzS/9RlUfFJGVwM+COVFEXsW1AsaLyB7g16o6W0TuAT7Bjaido6qb/CioteQ1EMUFsO5VWPIUHNkOLbrC5Y/BwJshMta3MN8cyCE1LYN312ahwKT+7Zk+Pole7f2basUYY4wJlqg23DEHZVrypm7btq2mi2P8lp8NK+e4dWVPHoD2A9xgit6TIcy/Z+FW7DhKypfp/H3rQWIjw7l+aCfuGNONTi0b+RbDGGOMKSUiq1Q1+bTH+ZXkicgiVR0jIjn868AIAVRVa21zRnJysq5cubKmi2H8cmIfLHsGVj4PhTmQeIFbUzZxghtc4YNAQPl8ywFSF2SwaucxWjSK5NZRXfnByK60jKu2BV6MMcY0QMEmeb5116rqGO9fm8XV1IzD29xI2fWvQ6AYel/lkrsOA30LUVBcwrtr9pK6IJ30Q6dIaBHLQ1f24brkTsRG2UhZY4wxtYdvSZ6IVPnkuqoe9SuWX2zgRT2xe4UbTLH1A4iIhsE/gJH3QMtuvoXIyS/i1eW7mL0okwMnCujVvilP3DCQy/u1JyLcn0mSjTHGGD/52V2bieumrXBeO1VN9CVQCFh3bR2kCts+c8ndzsUQ0xyGTYVh06Fxa9/CHMzJ5/nFO3hp2U5y8osZldSK6eOTGNcj3kbKGmOMqRE10V3rX7OJMZUpKXITFy9+Ag5uhqYJcPEjrvUuurFvYTIOnWTWwgz+tiqLokCAS/u2Y/q4JAZ0au5bDGOMMSaUQjGFCiLSAugB/HMhTlVdEIpY58K6a+uQgpOw5kW39Fj2bmjdC65KgX7XQLh/S4Kt3X2clC/T+WTzfiLDw7gmOYFpYxPpGh/nWwxjjDGmOvg+hYqI3Ilb5SIBWAuMAJaq6nd8DeQj666txU4dhq9SYcUsyDsGnUfBmPug+0QI8+dZOFXly28OkZqWzrKMozSNieD7I7tw26hutG4S7UsMY4wxxi/V3l1bxk+AocAyVb1ARM4HHgpBHFOfHc10rXZrXoLiPOh5uUvuOg3zLURRSYAP1u8jJS2drftzaNc0hgcu78UNwzrTODokjdzGGGNMtQnFX7J8Vc0XEUQkWlW3ikjPEMQx9dG+de55u01vg4TDgOth1E+g9Xm+hcgtLOb1Fbt5bmEmWcfz6NGmMX+4pj+TB3YkKsJGyhpjjKkfQpHk7RGR5sA7wGcicgzYG4I458yeyaslVCEzzSV36f+AqCYw8m4YcRc07eBbmKOnCpm7ZAcvLN3B8dwikru04KEr+/Cd89sQFmYjZY0xxtQvIV3WTETGA82Aj1W1MGSBzpE9k1dDAiWwZT4sehz2rYW4NjDiR5B8O8T6N4p199FcnluYwesrd5NfFODCXm2ZMT6R5K5VTu1ojDHG1Eo1+UweIjIG6KGqz4tIa6AjkBmKWKYOKsqDta/AkqfgI/ioxQAAIABJREFUWCa0TIJJT0D/GyAy5vTnB2nT3mxS0zL4YMM+wgSuGtiRaeMS6dHWFmUxxhhT//me5InIr4FkoCfwPBAJvASM9juWqWPyjsGK2fBVCpw6BB0Gw8SH4PwrIMyfJcFUlaXpR3g2LZ2F2w4TFxXOHWO68cPRXWnfLNaXGMYYY0xdEIqWvKuBQcBqAFXdKyLWdNKQZWfBsmdg1VwoPAndL4TR90HXMeDTqhElAeXjjftJXZDO+j3ZxDeO5ucX9+SWEV1oFuvfPHrGGGNMXRGKJK9QVVVEFEBEau0ssjbwIsQOboUlT8L6N0AD0HcKjP4JtOvnW4j8ohLeXLWHWQsz2Hkkl66tGvH7q/sxZXBHYiL9aR00xhhj6qJQJHlviEgq0FxEpgK3A8+FIM45U9X3gPeSk5On1nRZ6pVdy9xgim8+gohYN5Bi5N3QootvIbJzi3jpq508vziTwycLGZDQjF/ePJiL+rQj3EbKGmOMMf4near6RxGZCJzAPZf3P6r6md9xTC0TCMA3H8Pix2H3VxDbEib8FwydCnGtfAuz93gecxZl8uryXZwqLGH8ea2ZPj6RkYmtEJ+6fo0xxpj6ICSja72k7jMAEQkXkZtV9eVQxDI1rLgQNvzVdcse2grNOsOl/weDboEo/3rqtx3IISUtg3fXZqHAFf3bM31cEr07NPUthjHGGFOf+JbkiUhT4G7cdCnzcUne3cDPcWvYWpJXnxTkwKp5bkDFiSxo2xemzII+V0O4fwMdVuw4SmpaOp9vOUhMZBi3jOjCHWO60allI99iGGOMMfWRny15LwLHgKXAnbjkLgqYrKprfYxjatLJg24KlBXPQX42dB0Lk56E7t/1baRsIKB8vuUAqQsyWLXzGC0aRXLfhT34wciutIyL8iWGMcYYU9/5meQlqmo/ABF5DjgMdFbVHB9jmJpyJN1NXrz2FSgphF6T3DQoCUN8C1FYHOCdtVnMXJDB9oMnSWgRy0NX9uHa5AQaRYXkyQJjjDGm3vLzL2dR6TeqWiIimbU9wbMpVIKwd40bKbtlPoRFwIAbYdS9EO9fneXkF/Hq8l3MXpTJgRMF9GrflCduGMjl/doTER7mWxxjjDGmIfFt7VoRKQFOlW4CsUCu972qaq19Qt7Wri1HFdL/4UbKZi6A6KYw9A4YPgOatPMtzMGcfJ5fvIOXlu0kJ7+YkYmtmDEhiXE94m2krDHGGFOJal+7VlVt5tm6rqQYNr/jkrv9G6BxO5j4MAz5IcT4l6NnHj7FzAUZ/G31HopKAlzatx3TxyUxoFNz32IYY4wxDZ096GSgMBfWvuyeuTu+E1r1gCv/Av2vg4ho38Ks232clLR0Pt60n8jwMK4ZksDUsYl0i6+1i6IYY4wxdZYleQ1Z7lFYPguWp0LuEUgYChf/HnpeBmH+PAunqqR9c4iUtHSWZRylaUwEd01I4tZRXWnTJMaXGMYYY4z5d5bkNUTHd8PSp2H1PCjKhR4Xw5j7oPNI36ZBKS4J8MGGfaSkZbBl3wnaNY3h/st6cePwzjSOttvOGGOMCTX7a9uQHNgEi5+ADW+6ZK7ftW6kbNvevoXILSzmjRW7mbUwk6zjeXRv05g/XNOfyQM7EhVhI2WNMcaY6mJJXn2nCjsXu+Ru26cQGQfDp8OIu6B5J9/CHD1VyAtLdzBvyQ6O5RYxpEsLHryyD989vw1hYTZS1hhjjKlu9S7JE5Ew4DdAU2Clqs6r4SLVjEAAvv7AzXGXtRIaxcMFD7ipUBq19C3M7qO5zF6UyesrdpNXVMKFvdowY3wSyV39i2GMMcaYM1erkjwRmQNcARxU1b5l9l8CPAGEA8+p6qNVXGYybv3co8CeEBa3diougHWvwZIn4ch2aN4FLvsjDLoFImN9C7N57wlSF6Tz/vp9CHDVoI5MG5fIeW2b+BbDGGOMMWevViV5wFzgL8ALpTtEJBx4GpiIS9pWiMh8XML3SLnzbwd6AktVNVVE3gT+Xg3lrnn52bDyeVj2LJzcD+36w/dmQ++rINyfj1lVWZZxlJS0dNK+OURcVDg/HNWVO8Z2o30z/xJIY4wxxpy7WpXkqeoCEelabvcwYLuqZgCIyGvAZFV9BNfq9y9EZA9Q6G2WVBZLRKYB0wA6d+58zmWvMTn7YdkzLsErOAHdxsPVz0LiBb6NlC0JKJ9u2k9KWjrr9mQT3ziKn1/ck1uGd6FZo0hfYhhjjDHGX7UqyatER2B3me09wPAqjn8LeEpExgILKjtIVWcCM8Eta+ZDOavX4e2w5AnXNRsoht6TYfRPoMMg30LkF5Xw9posZi7IIPPwKbq0asRvr+rLNUMSiIm0BU6MMcaY2qwuJHkVNUdVmpSpai5wR1AXFpkETOrevftZFq0G7Fnplh3b8j6ER7ln7UbeA62SfAtxIr+Il5bt5PnFOziUU0C/js14+qbBXNK3HeE2UtYYY4ypE+pCkrcHKDvXRwKw148Lq+p7wHvJyclT/bheyKjC9s/dSNmdiyCmGYz9DzcVSuM2voU5cCKfOYsyefmrXZwsKGZsj3gev34go5JaIT51/RpjjDGmetSFJG8F0ENEugFZwA3ATX5cuNa35JUUwca33Bx3BzdB045u2bHBP4Bo/0axbj94kpkL0nl7TRYlAeXy/h2YPi6Rvh2b+RbDGGOMMdWrViV5IvIqMAGI9wZQ/FpVZ4vIPcAnuBG1c1R1kx/xam1LXuEpWP0iLP0LZO+G1ufDVc9C32sgIsq3MKt2HiM1LZ3PthwgKjyMG4d15s4xiXRu1ci3GMYYY4ypGbUqyVPVGyvZ/yHwYTUXp/qdOgLLU2H5TMg75taSveyP0OMiCPNnSTBV5YuvD5LyZQbLdxylWWwkP76gO7eO6kqrxtG+xDDGGGNMzatVSV51qzXdtcd2wNKnXetdcR70vAxG3wedqxpEfGaKSgLMX7uXmQsy+PpADh2axfA/V/Tm+qGdiItu0LeBMcYYUy+Jat2bPcRvycnJunLlyuoPvG+9e95u09sgYdD/ehh9L7Tu6VuIUwXFvLZiN7MXZrA3O5+ebZswfXwikwZ0IDLcn9ZBY4wxxlQfEVmlqsmnO65BN+HUSEueKmQucNOgpP8DohrDyLtg+I+gWUffwhw+WcC8JTt4YelOsvOKGNatJb+7uh8Tera2kbLGGGNMA2AteVRTS16gBLa855K7vWsgrg2MmAHJd0Bsc9/C7DqSy6yFGbyxcjeFJQEu6t2W6eOTGNy5hW8xjDHGGFNzrCWvtigphjUvwJKn4GgGtEyEK/4MA26CyBjfwmzMyiYlLZ0PN+wjIiyMqwd1ZNr4RJJaN/YthjHGGGPqjgad5FVLd62EwbIUN4HxtfOg1yQI82dJMFVl8fYjpC5IZ+G2wzSJjmDquERuH92Ntk39SyCNMcYYU/dYdy3V0F178hDExYNPz8KVBJSPNu4jNS2DDVnZtG4Sze2ju3HziM40jYn0JYYxxhhjaifrrq1NGrf25TL5RSW8uWoPsxZmsPNILonxcTw6pR9XD+5IdIQ/rYPGGGOMqR8syasDsnOLeHHZDuYu2cHhk4UM7NSc/7q0FxN7tyU8zEbKGmOMMebfNegkr9ZMhlyJfdl5zF6YyavLd3GqsIQJPVszY3wSw7u1tGlQjDHGGFOlBp3k1da1a7cdyCF1QQbvrs0ioDCpf3umj0+iV/umNV00Y4wxxtQRDTrJq21W7jhKSlo6n285SGxkODcP78KdY7uR0KJRTRfNGGOMMXWMJXk1LBBQ/r71IClp6azaeYwWjSK578Ie3DqyKy3iomq6eMYYY4ypoyzJqyGFxQHeXZvFzAUZbDt4koQWsTx0ZR+uTU6gUZR9LMYYY4w5Nw06m6iJgRc5+UW8tnw3sxdlsv9EPue3a8ITNwzk8n7tiQgPq7ZyGGOMMaZ+s8mQqZ61aw+cyOf5xTt4+aud5OQXMzKxFTMmJDGuR7yNlDXGGGNM0Gwy5FqiqCTA/W9v4O01WZQElEv7tmfauEQGdGpe00UzxhhjTD1mSV6IRYaHcSingBuHdeaOMd3o0iqupotkjDHGmAbAkrxqMOe2odYla4wxxphqZU/6VwNL8IwxxhhT3SzJM8YYY4yphxp0kicik0RkZnZ2dk0XxRhjjDHGVw06yVPV91R1WrNmzWq6KMYYY4wxvmrQSZ4xxhhjTH1lSZ4xxhhjTD1kSZ4xxhhjTD1kSZ4xxhhjTD1kSZ4xxhhjTD1kSZ4xxhhjTD3U4Jc1E5FJwGER2VnBy82AiibRq2h/+X3lt+OBw+dQ1GBUVl6/zz3dsVW9HkzdBbOvOuqzsnL4fW4wx53JvVjZfrtHg3vdr3sU6k+dNqR7tKK4oTjP73u0ov0N6R4N5tj6dI/2COooVW3QX8DMM32tov3l91WwvbIm34uf557u2DOt07PZVx31WV11GsxxZ3IvBlundo8G/9rZ7qsvddqQ7tFzqdOavEeDqb+aqtPa/nNfn+9R666F987itYr2l99X1XVD5Vxinsm5pzv2TOv0XPaFWnXUaTDHncm9WNl+u0eDe93u0bM7rr7co+cStybv0Yr2N6R7NJhjG9w9Kl5GaEJMRFaqanJNl6O+sPr0n9Wp/6xO/WX16T+rU3/Vtvq0lrzqM7OmC1DPWH36z+rUf1an/rL69J/Vqb9qVX1aS54xxhhjTD1kLXnGGGOMMfWQJXnGGGOMMfWQJXnGGGOMMfWQJXnGGGOMMfWQJXm1gIiEicjvROQpEbm1pstT14nIBBFZKCIpIjKhpstTX4hInIisEpErarosdZ2I9PLuzzdF5Ec1XZ76QESuEpFZIvKuiFxU0+Wp60QkUURmi8ibNV2Wusz7vTnPuzdvru74luSdIxGZIyIHRWRjuf2XiMjXIrJdRH55mstMBjoCRcCeUJW1LvCpPhU4CcTQwOsTfKtTgF8Ab4SmlHWHH/WpqltUdQZwHVBr5tSqKT7V6TuqOhW4Dbg+hMWt9XyqzwxVvSO0Ja2bzrB+pwBvevfmldVeVptC5dyIyDhcQvGCqvb19oUD3wATcUnGCuBGIBx4pNwlbve+jqlqqoi8qarXVFf5axuf6vOwqgZEpC3wJ1Wt9v891SY+1Wl/3JqMMbj6fb96Sl/7+FGfqnpQRK4Efgn8RVVfqa7y10Z+1al33mPAy6q6upqKX+v4XJ8N+m9SRc6wficDH6nqWhF5RVVvqs6yRlRnsPpIVReISNdyu4cB21U1A0BEXgMmq+ojwL91dYnIHqDQ2ywJXWlrPz/qs4xjQHQoylmX+HSPXgDEAb2BPBH5UFUDIS14LeXXPaqq84H5IvIB0KCTPJ/uUQEexf1BbbAJHvj+e9SUcyb1i0v4EoC11EDvqSV5odER2F1mew8wvIrj3wKeEpGxwIJQFqyOOqP6FJEpwMVAc+AvoS1anXVGdaqq9wOIyG14LaUhLV3dc6b36ARcN0408GFIS1Z3nenv0R8DFwLNRKS7qqaEsnB10Jneo62A3wGDROS/vGTQVK6y+n0S+IuIXE4NrHNrSV5oSAX7Ku0XV9VcwJ59qNyZ1udbuMTZVO6M6vSfB6jO9b8o9cKZ3qNfAl+GqjD1xJnW6ZO4P6imYmdan0eAGaErTr1TYf2q6ingh9VdmFI28CI09gCdymwnAHtrqCz1gdWn/6xO/WX16T+rU39ZfYZWraxfS/JCYwXQQ0S6iUgUcAMwv4bLVJdZffrP6tRfVp/+szr1l9VnaNXK+rUk7xyJyKvAUqCniOwRkTtUtRi4B/gE2AK8oaqbarKcdYXVp/+sTv1l9ek/q1N/WX2GVl2qX5tCxRhjjDGmHrKWPGOMMcaYesiSPGOMMcaYesiSPGOMMcaYesiSPGOMMcaYesiSPGOMMcaYesiSPGOMMcaYesiSPGPKEZFWIrLW+9ovIllltqNqQfmmiMj5ZbZ/JyIXhChWuIgsDMW16xoR+ZmIxJzhORNEZJOIrCl774hISxGZUWb7QhF5x8/y+qWq9y0ii0Tka+9nY7OIVPvyjCJyp4g87tO1uotInvd+1onIYhHp4dO1z7ic3hxszf2IbxomS/KMKUdVj6jqQFUdCKQAfy7dVtVCAHFq6udnCvDPJE9V71fVL0IRSFVLVHVsKK5dHUQk3MfL/Qw4oyQPuAV4VFUHld47npbUnXVBT/e+r/d+VsYBfxSRoNdEP5NjQ6GS+F97P+sDgFeAX1ZzsYzxjSV5xgTJ+1/+RhFJAVYD7UVkpois9Fpr/qfMsXtE5EGvBWe9iJzn7f+O10KwVkRWi0iciDQVkX942+tF5Ioy1/mht2+diDwvImOBy4A/e9foKiIvichV3vETvf0bRGRWaetRZeUp9/76icgK7/z1IpIoIhEictx7/XdlWjT3isgsb/+tIrLc2/9MRcmviDzkXXujiKSIiHj7f+q1AK0TkZcqOO9OEXlbRD7xWoweKPPav8UtLa+I/FZElgPDRGS4iCz1YnwlIo284/7knb9eRO70rnmhiPxdRN7y4r1QWk6gDbBQRD6voJz/Vu/iWuqmAA+XXqeMR3Gz5a8VkUe9fU3Kx/WuPVRE0kRklYh8JCJtK4g/2Xtva0TkUxFp4+2v6H7rKK4Fbq33eYzyjr3Uq6fVIvK6d2yV77ucxsApoKTsfeNd+wYRec77/iUReUxEvgB+731Ws733mCEid1f1GZe5L74RkS+BERUVRkTiRWS+9/kuEZG+3v7fikiqiHwGPH+a99QUOOadFysi87zPeLWIjCtTlje9e3SbiDxSpgwVllNE2nqf9Urv/Y3w9rcWkc+86z9LxYveGxM8VbUv+7KvSr6AB4H/9L7vDgSAoWVeb+n9GwEsBHp723uAH3nf3wukeN9/BAz3vm8MhAORQBNvXxtgm/f9AGBrmRil/74EXFWmDC8BVwGNgN1Akrf/ZeCeqspT7r0+i2uVAYjGtd5EAMfLHdcC2AgMBPoC7wAR3mszgZsquHZp2QV4FbjU294HRHnfN6/gvDuBLC9mHLC5qrheeRWY4u2PATKBwd52M6/O7wJ+Wea9rgE6Axfi/qi3945bAYwoU4cVlbGqev+Xz6rMOd2BtWW2K4zrlW0JEO8ddzMws4LrteDbFYxmAP9bxf32C+AX3r5wb38bIA1o5O2/H/hVVe/be20R8DWwHsgD7izz83C8zHE3AM+VqZN3gDBv+7e4n50orxxHvHJV9hknADuBVt45y4DHK7mf7/e+vwhYWSbeciCmks8lD1gLZODuvQTvtV8As7zv+3hliMLdo9uAJkCsdy90qKqcwOt8e191BTZ63z9Tpt4n4+7lCuvevuwrmK8abSo3pg5KV9UVZbZvFPccUgTuF3tvXCIC8Jb37ypc6xvAYuBxEXkF+JuqnhTXpfi/IjIGl0R2EpF44DvA66p6FKD03yr0wiWI6d72C8AdwF+qKE9ZS4AHRKQL8Jaqbpdy3VleS8oruCRirYjcBwwFVoprnCv9I1fed0Xk57ikK94rw0fAJuAlEXkX9we9Ip+oamlryjvAGFx9Vxa3EHi7TJ3sUtXVAKqa7V3nIqCXiNzgHdcMKH32apmq7vOOW4v7I7yskrKVxqiq3oNVUdx8XELxufc+w3FJV3mdgTdEpB0uMfzG21/R/bYCSBX3nN07qrpORC7E3btLvDhRuAQuGNd790Ib7/yPgf2nOeevqhoos/2+uu7sgyJyFGiNS3wr+owLgb+r6hEAEXnDe//ljQEuB1DVT0VkrojEea+9q6r5lZTta3Xdz4jIzbhHNq7wrvcH73qbRGQvLikE+FxVc7xztnrlSaiinBfiWnJLY7YQkVhcl/dlXox3RSSnsgo0JhiW5BlzZk6VfiPugeyfAMNU9bi47sayzy4VeP+W4P2sqepvRWQ+7o/PChGZAIzHJRmDVbVYRPZ41xHc/+SDdbqunX8rT1mq+qKILPXK9pmI3IpL/Mr6DS7RfbFMzDmq+t+VFkqkES7hGayqWSLyW76tp4tx738yLsHsq6ol5YtWwXaFcb2kNE9VS8+prA4FuEtV/17u/Av5tp6gkrqq4Fp+qCiuAOv19M9FPg38XlU/9N7DL6Hi+01V/+Hdd5cDL3vdi7nAx6r6/bMtvKoeFJF1wDBcwl62Xso/03eq3HZl772iz/gagvu5KP+5lN0uH78y83EtghVdr6zK7pnKyim43xuF/7LTJX22oLzxjT2TZ8zZawrkACdEpD0uYamSiCSp6npVfQTXRdgTl+Ad9BK8iUBH7/DPgRtEpKV3bktvfw6ua6i8zUAPEUn0tm/BdcEFRUQSVXW7qj4BfAD0L/f6VbiWhp+W2f05cJ3X8lg6Mrl8q0osroXysIg0Ab7nHRuO6wr7B/BzXOtNowqKdpGINPeSxcm41qlg4oJrKewiIoO945p6cT8B7iptqRSRnl5LSlX8rPfKrlXRtTuKyDCvnFEi0qeC45oBWeKyhFtLd1Z0v3kttftVdSYwFxiES+bHl74Hcc/jlbZsBlVWr5VsAO4/AQHgmIj08Fp/rw7ivZZX2We8DNcy3FLcM6fXVHL+Alz3dmnyvkdVg03uSo0BSltoy16vF65rfXsV51ZVzs+Bss8eDqwgxiSCu0eMqZS15Blz9lbj/ghvxD2/sziIc/5T3OCJAO45pk9xzwe9JyIrvWtuA1DV9SLyf8ACESnGdXHegXumLVVE/gP3LB7e8ble1/FbXiLzFTDrDN7PTSJyI1AE7AUeKPf6f+C6oFZ4LQ5vqerDIvIQrjsxzDt3BrCrTLmOiMg8XD3t9MoF7vfPK17iF4brAq6oe2oRros4CXhRVdeCG8xRQdy9ZU9U1QLvPT3rdU/m4brBU3FdZ2u993IQl0BWZaYXb7eqXlgmxhnXu6oeEPfQ/QZcQl3hoAav/NcAT3r1FAE8hktey3oQ10W9B3c/tff2V3S/3QL8TESKgJPALV557gBel2+nevkV7l6s8H2X8bqI5OG6iWep6jpv/y+Aj3H3wmbv9aCp6oaKPmNVXeG1Bi/Dfd4rK7nE/wDPi8h6733+MMjQPb3ucsG10E3z9j+F+7nb4JXlB6paWKbLtXz591RRzrtx9+QPcZ/pF96+XwOvish13r6sIMtsTIVKH9Q1xphaR9yo176qel9Nl8UYY+oa6641xhhjjKmHrCXPGGOMMaYespY8YxogEflSRJK97z+UIJdOEpHbRORMpwap7FoPew/EIyL3eQMrzuY6vpWp3HW7isjGMzxnrvcMXen2jSJyv1fGQ+Im9d0qbpLhOqHsvVKDZdhROgDD204VkdEiMkLcJNBrRWSLiDwYgtgPish/+n1dY6qDJXnG1DHi81JQqnqZqh4//ZH+UtX/UdXSAQf3UfHI2rruEtzgA3BzHg4ERgP3i0inUAQUp1b8bg9hWYbjBjTMA6Z59doXeCMEsYyps2rFLwJjGhKvhWiLuOWvNolbhirWe22giCwTtxTT2yLSwtv/pYj8XkTSgJ94LUbPisgX4paCGi8ic7zrzi0T61n5dtm1hyopzw5xS0DNkG+XLcsUt+xU6dJq33ixR1dyjX9p7RC3XFbX07zXuSJyjYjci5tI+gvv/YR7r20Ut4RUMK1enUTkY3FLgv26TDl+5l1no7iJm09X/0PELQO2lH+d4iJcRP4gbmm29SIy3dsvIvIXcUuzfYBbsaH0HMGtzrG6bEG9yXG3442AFbeU1d+8a68QkdHe/vFlPo814kbXIiI/L1OOh8q9p2e8eP8tbmR2aVluE5GnvO9vkW+XCkuV4Nb3vUXc0mAb5dvpXE73mZeWpZOInBS3LN467/5ue5r33sr7XNaISCpl5qgTN33JN958im1wq6agbp3lzUGUbau45cnWi1uOrJF3zA4R+V+vbpaLSOlEx6XXSBKR1WW2e4jIqiDqzpgaY0meMTWjB/C0qvYBjuPNHYdbLeEXqtof2ICbUqFUc1Udr6qPedstcNOB/BR4D/gzbnWEfvLtvFv3q2oybs678SLyL3PflaWqKV6LyFDcVBx/Ejf/30O45G4iblUEv95radwncVNMXKCqF+ASo46q2ldV++GtLyouCZ1RSYxhuPnFBgLXikiyiAzBTZsxHLdE2FQRGXSaMj0P3KuqI8td/w4gW1WH4upnqoh0w83/1hPoB0wFRpU5ZxCwTss9+CxurrcY3JQmAE8Af/au/T3gOW//fwJ3e5/JWCBP3EodPbz3OxD4/+2dW4iVVRTHf6uM6IJGQS9B2hWtSEorLImkNMdeKqrBwkwxKjTrwRchiXqofDKpyMw07SJCJnhBNLIwTS0bi0G7gSlBFyxkxArS8d/DWp9z5nhuo+YchvWD4XzznW/vs/b+zuGss9be6z/MQkM17Fgi6TpcHuvekpdtxUudDInjW6Lfzpi3epwj6WZcDm5hA9cftUXSXlySbqukoXgtuEfrjP1ZYFOMZSXdFS1a6IqOzgG+N/9B9Jh5mZxGbJsfn7EDMaaCA5JuxIt3v1zaKBRNOko+W5PwOoNJ0rSkk5ckvcNPRb03vP7dIDMbgDtyRSHdxXjx4YJlZX2sCgeiHfhdUnsUod2JS2KBF5NtwwvhXk1jTtpcYIOkVbiD9KmkfVGdv9yGRjhmrHWu3w1camavmNlY/Iu4cELnVWnzkaQ/Jf2Dy7eNjL8Vkv6SdDDOF8oRjcz/OyX9jwEeNq+ftg3XI70Cvz9LI4r0C7ChpM1YXLqtoNXMdsb45pbIat0BvBp9rwT6R9RuM+5oTw+7DocdY/D72QYMpkuOba+krTFX+4Dd5mvWLsAdm83A7cAwvNbh1/F/UcS5Fkuj341hX701nEdtCf4FVsdx6Xug2thvxTVukbQG1/UtuJNw8iQ9DwzH6/89SJfzV4ufJRU1Ld/F3yfdxhmP5Y4+uBM6KaKfrXj9xiRpWrIYcpL0DuUySPXUFqC6FNSRsv6OAP0i0jQDuEHSfvP36SnTAAADkklEQVQ0bs1Ih5k9AgwEppWcbmQL/mG6/2isJO8GDYw1bB2Kf5lPBR4AJtd5/WrSZ9WoZFMtGTkDnpS0rttJs3E12oyhe9RymaRpZjYCWGNmayX9hs/biHBQS3kpUsDjgK3mm1QMeFHSG2V2DOLY98cyfO6+w51dRQp5saSZVWyuRqX5rXXPy205VBLRLJX9qjh2qyLvFanV88KhdkM8wva6mb0J7AuntpZtlcZS77hgOR5l3AB8Fan3JGlaMpKXJE2CpA5cCqqINk2gB7JkFeiPf9l2xBqolloXR3pzBq6AUIjHbwNuizVSZwD3V2m+Byikw64HLumhrUels8x3UZ4maTkwq+i3DqPN5aPOwlVANuNpwbvN7Gxzya17gM+qdRCbTzrMrIjslKYx1wFPxBxgZldGnxtx6bnTI7U9Kp4fAPSr5ARI2oJHCZ+KU+spcaqLdKC5JFm7pNm4WsLgsGOymZ0b11xkZhdSmQ9jLsbTFYH9GLivaBNzNjCOlxTr7SrQGteMxNPWHZz4Pa86drrLe7XgSxPA5/eTkuvvCscVPKLZiaffa9l2cTja4HOzqXyc8bil3NiIvq7D9WwXNT7MJOkdMpKXJM3FRGBeRCx207gU0zFI+sbMduDp20Zk16YB5+MbIAC2S5piXpZiC77AvQ2otFB/OV3pzC+BH3po7nxgrZn9iu+0XWRduzJngq/Ji3FVStluwh2ny4H3JW2PNm/jMl8ACyTtiKhXNSYBC83sb/zLvGABnmJsC6diH+5ArcDXRbbjYy6c8tFUkSoLZkdfLwDTgdfM5bf64Q7O48DTZjYKd1x2AWtD5mwIsCXu0UFcpqyz/AUiIroLuErSF3Ful5k9A6y3Lqmwqbjc3LXEJoYK7Dezz/EfDkVU9UTvOTXG/hwu79WGz2khk9cCfFDSfgIwJ+7XYeAhSZ1mVsu2b4GJ5hs6fsQdtoIzzWwbHgAZX8Xm9/D1juuPY7xJckrJYshJkiQnGTNbgDuVW+te3ASYWX/gLUnVIrVNQTh9N0k6dJztBwGrJV1T4bk9wHBJf9TpYwYwQNKs47EhSU4lGclLkiQ5yUia0ts29ARJB6ieim8aJDWSuv/fMLMVwGV49DZJmp6M5CVJkiRJkvRBcuNFkiRJkiRJHySdvCRJkiRJkj5IOnlJkiRJkiR9kHTykiRJkiRJ+iDp5CVJkiRJkvRB0slLkiRJkiTpg/wHo1WsfrHwbaIAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x116bb5668>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,5))\n",
|
|
"pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage'], logx=True, logy=True, ax=ax)\n",
|
|
"plt.title(\"Friction for Bond and Withdraw accounting Without Exit Tax\")\n",
|
|
"plt.ylabel(\"\"\"Percentage Change:\n",
|
|
"Realized Price Relative to Spot Price\"\"\")\n",
|
|
"plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n",
|
|
"normalizd units: bonded/Reserve, burned/Supply\"\"\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"tax = .02\n",
|
|
"pdf2['burn_to_withdraw_slippage_with_tax'] = pdf2['burn_to_withdraw_slippage']+tax"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/anaconda3/lib/python3.6/site-packages/pandas/plotting/_core.py:1716: UserWarning: Pandas doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access\n",
|
|
" series.name = label\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5,0,'Transaction size as percent of the asset Burned or Bonded\\nnormalizd units: bonded/Reserve, burned/Supply')"
|
|
]
|
|
},
|
|
"execution_count": 30,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a1bfd4128>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,5))\n",
|
|
"pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage_with_tax'], logx=True, logy=True, ax=ax)\n",
|
|
"plt.title(\"Friction for Bond and Withdraw accounting for Exit Tax\")\n",
|
|
"plt.ylabel(\"\"\"Percentage Change:\n",
|
|
"Realized Price Relative to Spot Price\"\"\")\n",
|
|
"plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n",
|
|
"normalizd units: bonded/Reserve, burned/Supply\"\"\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x1a22927278>"
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]
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},
|
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x1a2228c438>"
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]
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},
|
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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uy5usrCzuvvtu5s6dy7p165g8eTKPPVb0jALr168nPj6eJk2aAPDSSy/lmd+8l1xT2v79+2nR4p+g4bGxsUW+vOfNm8eQIUOoX79+XtqqVavo0qULw4cPZ/PmzQWWO3PmDIMGDWLdunWEh4fz+OOPs3jxYubNm8cTTxQaE/YcHA4Hc+bMYenSpUydOpWPPvoIP7+CH43u3bvjchmxPvft28ehQ4fo1asXY8eOZc6cOT7vU6FQFE+N9uKrbHr16kVsrDFzQ9euXXG73fTv39+nslJKHn30UVasWIGfnx/79+/n8OHDNGtWeKDz8ePHM3v2bEaNGsXs2bP58MMPS11XLlu3bmXTpk1cfPHFAOTk5NC8ecHTH7322mu899577Nq1K09RAjz00EM89NBDRR5rfoqarHXWrFncdNNNeevdu3dnz549hIWFsXDhQkaPHs327dvPKRcYGMill14KQKdOnQgKCsJisdCpUyfcbneh+8tPSEgI7733HgMGDOC1116jbdu2Ph3b7NmzGTt2LADjxo1jypQp3H///T7vV6FQFI1SUCUgKCgo77+/vz/Z2b6Hc5s5cyZJSUmsW7cOi8WC1WolPT29yDKjR4/m/vvvZ/369aSlpdG9e3ef6woICDjLTJW7XUpJhw4dWLVqFcVx33338eCDD/L1119z/fXXs3PnToKDg3nppZfOaSECDBgwgDfffJPY2Fj27ftn3rnExESio6ML3MexY8dYs2YN8+bNy0vzbklddtll3HHHHRw9epSoqLPncbNYLHmKz8/PL+/6+Pn5lejaAPz99980atSIAwcOFJlvw4YN9OzZEzAU6+HDh/POxYEDB9i+fTvx8fFFVaFQKHxEmfjKGYvFQlZW1jnpycnJNGnSBIvFwtKlS9mzp/jJasPCwhg0aBCTJ09m/Pjxeem+1NWqVSu2bNlCRkYGycnJLFmyBIB27dqRlJSUp6CysrIKNaHlMmbMGHr27MnHH38MGC2ojRs3nrO8+eabAIwcOZLZs2eTkZHB7t272b59O716FTyd05dffsnll19OcHBwXtqhQ4fyWipr1qzB4/HQqFGjYs9XadmzZw+vvPIKGzZs4Pvvv2f16tUF5vvqq69YtGgR48ePZ+vWrZw5c4b9+/fjdrtxu9088sgjzJ49u8LkVNRNpJTkpKSQvm0baX9vqmpxKpU6r6BmzJiR5zxQHtxyyy107tw5z0kil4kTJ7J27Vp69uzJzJkzsdlsPtU3fvx4/vzzT8aNG1eiulq0aMHYsWPzZOnWrRtgmMXmzp3Lww8/TJcuXejatSsrV64sVo4nnniCV199tUDngfx06NCBsWPH0r59ey699FLefvtt/P39AaNF5N1KmT179lnKF2Du3Ll07NiRLl26MHXqVGbPnl2kibAsSCmZMmUKL7/8MtHR0XzwwQfcdNNNeS3O1157Lc/N/LPPPuPnn3+mcePGzJo1iyuuuOKsuq688soSu+MrFJ60NDJ27eb0b79x6sdFeemHHS+w034523r0ZNv5vXh76vO89NrcKpS08qnRwWJDQ0NlWSNJ5CqnSZMmlV0ghUKh8ELm5JCdlETWwYNkHzxIdlISDW+4AYAjr7zKyS+/JOfkybz8fvXr026N0YI/8sYbZO7YSUDzZliaNuOZU005IoL5dOpg/PxK/8EmhEiVUoaW7cgqB9UHpVAoFKVASoknJYWsg4fIOniA7IMHyTpwkKjbb8MvJISj77xD0ltvQ77+0Igrr8I/LJTA1q0Jv/QSLM2jsUQ3x9K8OQHNmiOlRAjBgTE38PxCnUcv0+jSIpLns3IICvCrMGtCdaTOm/iKo65Gkti6dSuDBg2ia9euaJrGLbfc4nPZxx57jBYtWpwjS0ZGBtdccw1xcXH07t37LE87XyJP7N69m969exMfH88111xDZmZmqY4Nzr5mBUV96N27N127dqVly5Y0btw4z5W+MO/A7OxsIiMjSy2PovohPR6yjhwhdcMGkhc4OfrudA4+8SRZpon6xKxZbOvVm92jRpF42+0ceuppjs2YQfaRIwAEd+pEoylTaDZtGi2mv0ub777lvLV/4B9mNF4ix1xB82nTiLr1FiJGjCCkZ08CY2NIPJHG3bM2MPrt39iZdJqkFGMsZLDFv04pJ0BFkvjoo4/kRx99VOj2uhpJYtiwYfKbb77JW//rr798Lrtq1Sp54MCBc2R5++235a233iqllHLWrFly7NixUkrfI09cffXVctasWVJKKW+99Vb53//+t8THVRBFRX3wNfpEVlaWjIiIKBd5FJWDx+ORWUeOyNQNG+TJBQtk0rvT5YEnnpSpmzZJKaVMXrRIbmlnO2vZ2qevPLN+vZRSyjSXSx794EOZ/P33MnXjRpl5+LD05OSUWp4TZzLkv7/bLOMfXSjbPb5QvvKjS6akZ5XLsXpDDYokUeUClGWpTAW1dOlSOXDgQHnllVfKdu3ayQkTJkiPxyOllHLgwIHyjz/+kA8//LD08/OTXbp0kRMmTDirfEpKihw8eLDs1q2b7Nix41kv/4KUytGjR2VUVJRMT0+XUkq5e/du2aJFC+nxeHyqK3+4oDvvvDPvONeuXSsHDBggu3fvLocNGyYPHDhwzv47deok165dW+z5K4r8xzVs2DC5cuVKKaXxQm/UqJH0eDzyueeek88991yB+XLxeDyyUaNGMivLeGBXrlwphw0bds4+n3zySXn99dfLiy++WLZq1Up+9dVX8qGHHpIdO3aUl1xySV64ptxrJmXJFdSnn34qO3bsKDt06CAfeeSRvOPJVVBHjhyRvXr1kt9//72UUsrnn39enn/++bJTp07yqaeeklJKuX37dtmhQwc5efJk2b59e3nppZfKtLQ0KaWUr776qtQ0TXbu3FlOnDixyHOsKByPxyOzkpJk6saNMtnplEnTp8sDTz4pU379VUopZepffxWogJIXLZJSSpl58KA8NnOmTFm2TKZv3y5zzpypEDnTs7Lleyt2ys7TfpTWhAXyoS83yoMn0ypkX1LWLAWl+qBKwIYNG9i8eTPR0dFccMEF/Pbbb2cN1HU4HLz11lts3LjxnLK50R/q16/P0aNH6dOnDyNHjiy0ye4dSSJ3oG7+SBK+1uVNbiSJ+fPn07hxY+bMmcNjjz2WNwg4l/vuu4/BgwfTr18/hg0bxo033khkZCRbt27lmmuuKbDuZcuWFWnm8o4wERAQQEREBMeOHWP//v306dMnL19BkSeOHTtGZGQkAQEBhebJZefOnSxdupQtW7bQt29fvvrqK1588UWuuOIKnE5niUMqeZOYmMjjjz/O2rVriYiIYOjQoSxYsCBvwPDBgwcZOXIkL7zwAoMHD2bhwoXs3buX1atXI6XksssuY+XKlTRp0oStW7cya9YsOnXqxJgxY/jmm28YN24cL774Inv27CEwMJCTXh3oinPxnDlDZmIiWfv2kbl3H1mJ+6jXvQcRl9vJOXaM7f0vPCu/f2QkwabXa2Dr1jT9v8exxMQQGBODJToav9B/fAcszZrRcMKECpV/0/5kbp+5jn3H0xhwXmMeGW5Da16/+IJ1BKWgSkBdiiRx4403cskll/DDDz8wf/583n33Xf7880/atWtXoAL29RzkRwhRaLovZQti+PDheRElcnJyzoo2UZIIEwWxevVqBg8enDdoeMKECaxYsYJLL72UzMxMhg4dyrvvvpt3XyxatIjvv/8+z83/9OnTbNu2jSZNmhAXF0enTp0A6NGjR55sHTp04Nprr2XUqFFlUqa1ASml4QWXmEjm3r1k7UvEEt2cyCuvRHo8bOvTF+k17tCvfn38GzQEwL9RI0MBRUdjiYnBEh2T1/8D4B8WRsN8w0EqizMZ2YQGBRATWY/oiHo8d0UnLoxvXCWyVGeUgioBdS2SRHR0NJMnT2by5Ml07NiRTZs2ERYWVuoWVG6EidjYWLKzs0lOTqZhw4Y+RZ6Iiori5MmTZGdnExAQUGR0Cu+IEvmjTZQ0wkR+ClKUuVgsFrp168aiRYvyFJSUkscff5wpU6aclXfHjh2F3k8//vgjy5cvZ/78+TzzzDNs2rQpbxxZbcSTmUlW4n6y9u0lc18iwmKhwTVGCKldI0aQuWPnP5n9/Kg/fDiRV16J8POj6aOP4B8ZiSW2BYEtW+AfEZGXVQhRZQqoKJ6cv4l1e0/w7Z39aRAayJxb+1a1SNUWpaDKmdxIEhaL5az0qowkkZ6ezpIlS+jfv/9ZkST69u1LVlYW27Zto0OHDmeV/+GHHxgyZAgWi4VDhw5x7NgxYmJiaNasWalbUCNHjuTjjz+mb9++zJ07l8GDByOEYOTIkUyYMIH7778/L1xQ/sgTQgguuugi5s6dy7hx4/j4448ZNWpUqeQoC3369OGhhx7i2LFjREREMHv2bB588ME8GWfMmMGVV17Jyy+/zIMPPsgll1zCM888w7hx4wgNDSUxMfGsqBn5ycnJITExkcGDB9O/f39mzpxJamoq4eHhlXWIFYInM9Mww7nd5CSfInKMMcg58Z57SVm0CLwUf5DNlqegGk6ciPR4CGzZEktsLIExMYjAwLy8DfIN8q6uHDudQWhQAMEWf3q1bkTj8CCyPZLAMoxnqgisCc4WwCdAM8ADTHc77G/kyzMImA/sNpO+djvspZ+0rQiUgipnciNJdO/e/ax4dRMnTmTEiBH07NmTrl27liiSxJgxY84KoeNLXd6RJOLj48+JJDF16lSSk5PJzs7m3nvvPUdBLVq0iHvuuSfvZfrSSy/5ZEIE+Ne//sXnn39OamoqsbGx3HTTTUybNo0pU6Zw3XXXERcXR8OGDfOOyTvyREBAwDmRJ95//32io6N54YUXGDduHI8//jjdunU7p1VSGcTGxvL0008zaNAgpJSMGDECu92e1/oJCAjgiy++wG63Ex4ezq233orL5crrYwsPDz9ruo78ZGdnM2HCBFJSUvB4PDz88MM1RjnJrCyy9u8nc98+Qvv3RwjB0envcXLOHLIOHgSzRS+Cg4kYPQrh50foBf0IiosjsGULLC1aGq0gr7BWNUUBFUZaZg4f/rab/y3byd2D47h1YFvsnQsOzlxNyAYecDvs660JznBgnTXBudjtsG/Jl+8Xt8Ne9Dw25YCKJKEiSSgUPiM9HrIPHiSgcWNEYCApPy/lxJzZZLn3kLl/f96g1PhVKwlo0IATX3xB6uo1BLZqRWBrq/HbqtVZprjaSI5HMm/Dfl5ZtJWDyekM1ZqSMNxGXJPyGadYFkoSScKa4JwPvOV22Bd7pQ0CHqwMBaVaUAqFolAydu3i1IIFZOzaTeauXWS63cjMTFrP+5pgTcNzOoXsw0cIstkIv/RSQwFZW+FvesM1GDuWBuaUJHWFX7cf5dmFOvrBU3SJjeD1a7rSu03FBTsuBQFCiLVe69OllNPzZ7ImOK1AN6Cg6Ml9rQnOP4EDGMqq6IjTpRW0IipVKBQ1A09aGml//U3m7l1k7NpF5s5dZOzeRbMnniB80CCy9h/g6DvvEtiiBYFt2hDavz+BrVoRYE5eGTFyJBEjR1bxUVQPth9O4dmFOsu2JhHboB5vju/G5Z2alyluXgWRLaXsWVQGa4IzDPgKuNftsJ/Kt3k90MrtsJ+2JjgvA74BKmSOGWXiUyY+RS1HZmeTuW8fmbt3k7FzJ5m7dhM+ZDDhQ4eSsX07u0YYCkaEhBDUujWBbdrQYMJ4Qrp1Q2ZlIaXEz8sxQXEurkOnsL/5KyGB/tw9OI4b+lkJCqienpfFmfisCU4LsAD40e2wv1pcfdYEpxvo6XbYjxaXt6SoFpRCUUuQHg9ZiYlkbN+Of/36hJx/Pjmnz7C979ljhQIaNybYdIoJbNWKFh+8T1CbNgQ0bYrIN9W9sFiodt//1YT0rBz+3p/M+daGtGsazmOXaYzuFkPD0JqrzK0JTgF8AOiFKSdrgrMZcNjtsEtrgrMXRkzXYxUhj1JQCkUNQ0ojira/OfPwoaefJu3Pv8jYuRNpjncLv/hiQs4/H/+wUBrddiuW5tEEtW1DYJs2+Ht5BYrAQMIuuKBKjqOm89xCnS/W7mNlwhAahgYyuX/rqhapPLgAuA7425rgzB1P8ijQEsDtsL8DXAXcbk35JZKhAAAgAElEQVRwZgNpwDi3w14hpjhl4lMmPkU1J3X9BtL//ov07dvJ3L6DjB07CIxrS+s5cwDYd9vtyMxMguLjCIqPN9y24+LwL6fI9op/WLfnOJEhgbRtHEbiiVT2HkulX1xUVYtVItR8UAqFokTIrCwydu8mY+tW0l0uso8kEfPSiwAc+/ADTv+0BP+GDQmKiyNi9GiCO3bMK9vinf9Vldh1hr3HUnnhBxfOvw8yums0r4/rRmyDEGIbhFS1aLUapaAUikom5+RJ0l1bCenZAxEQwNF3p3P0rbfy+omExUJQfDyejAz8goJomvAIzZ96ioBG1cpVuU6QnJbF20t3MOM3N/5+gnuGxHPrwDZVLVadocIUlG7TzgmZobn0N3Sb1hCYA1gBNzBWc+kndJsmgDeAy4BUYJLm0tdXlHwKRWWRsWMHyd8tIMPlIn3rVrIPHQKgzYLvCIqLI1iz0eC66wi2tSPIZiOodWuEV6iswNiYqhK9zpKV4+Hz1Xt5/adtnEzL4qrusTwwrB3NIgoPU6UofyqyBZUNPKC59PW6TQsH1uk2bTEwCViiuXSHbtMSgATgYWA4hi99PNAb+J/5q1BUe6SUZO3bR/rmzaRv2UL65s1E3XknIT16kLlvH8fef5+gNq0J6dnTUETtbFjMYLdhAwYQNmBAFR+BAozruEQ/wnPf6+xKOkO/to14zK7RIbp2R76orlSYgtJc+kHgoPk/RbdpOhADjAIGmdk+BpZhKKhRwCeaS5fA77pNi9RtWnOzHoWi2iA9HrL27kVYLFhiYsjYvRv3NePwnDLHM1osBMfH40lNAyDsggtot34dfl7RyxXVkxOpWUydvYFmEcG8f31PhmhN6t4069WISumD0m2alX9CZjTNVTqaSz+o27QmZrYYYJ9XsUQz7SwFJYS4BbgFjMCnCkVFI3NySPlpCWl//Un635tI37IFz+nTNLzhBpo+koAlJob6w4cT3L49wR06EHRe/FkDW0VgoBpLVI05fCqduesSuWNQWxqGBjL7lj5ozetj8fcrvrCiQqlwBaXbtLyQGZpLP6XbtMKyFvQMn+MDb8aMmg6Gm3l5yalQgDFDa9qmzaT99Sd+QcE0vP468PPj0NNP4zl1iiCbjfqX2wnu0IGQHka0GL/AQJo/Na1qBVeUmp/0w7zx03aGak1p1yyczrGFz2mmqFwqVEHpNs2CoZxmai79azP5cK7pTrdpzYEjZnoi0MKreCxGIEKFokKQUuaZb5L++19SfviRjB078qaFCO3Xj4bXX4cQglaffYolJkaF/KkF5HgkX61PJNDfj9HdYrimZwsGxDemRUPlMl7dqEgvvryQGZpL9w6Z8S1wA+Awf+d7pd+l27TZGM4Ryar/SVGe5Jw+Q9qfG0lbv4HU9evI3LOHuJ9+Qvj54TmVQkCTJoQPHUq9Lp0J7tyZgAYN8soGta4VUQLqPCt3HOUZp86Wg6cYqjVhdLcYAvz9lHKqplRkCyovZIZu07xDZjiAL3SbNgXYC1xtbluI4WK+A8PN/MYKlE1RB8g6fJiABg0QgYEc//hjDr/wotE68vMjyNaO8EEXIdPTESEhNE14uKrFVVQgO5NO8/xCnZ/0I8REGpHGR1TviQMVVKwX368U3K8EMKSA/BK4s6LkUdRupMdDxo4dpK1fT+q69aStX0/W/v20mvkZIT16ENypM1G33Ua9Ht2p16WLCgNURziZmskbS7bz6ao9BFv8efhSGzdeYCXYUj0jjSvORkWSUNRIpJRkbN+OX0gIgbGxpG3YwJ6J1wLg3ziKkO49aHj9dVhiYwEI6d6NkO7dqlJkRSWS45F8usrN60u2cyoti3G9WnL/xecRFaZc/WsSSkEpagRSSjJ37eLM6tWkrvmD1DVryDl+nIZTJtP0oYcI7tSJ5s8/T0jPHlhiY9XYlTqOAL7esJ8O0fV53N4erXn9qhZJUQqUglJUWzL37SP78GFCevYEKdkzYSI5yckENG9O2IUXEtKrF6H9+gKGq3fkFaOrWGJFVbLn2Ble/GErT4/qQKOwID6d3Jv69QLUx0oNRikoRbUhJyWF1NWrOf3bb5z5bSVZe/cSaLXS9ofvEX5+RL/6CoEtWmBp0UK9dBTnkJntYdWuY7gOpXBBXBARIZbiCymqNUpBKaoMmZND+pYtBHfsiBCCw888S/L8+fiFhBDSuzcNr7+e0H798vKrifUU3mTlePh01R62H0nh+TGdiW8azsqEwcoBohahFJSiUsk+dozTy1dwevlyzqxahefUKdosdBLUpg0NJ91A5FVXUq9LF4QaEKsoBCklS7ce4RmnEdD1wvgoMrJzCArwV8qpluGzgtJtWpDm0jMqUhhF7UNKCVlZiMBATv/6G/tuvhmkNAbFXjyUsAsuIKBJUwCCtULDYCkUAGw7nMK/F2zhl+1HaRMVyoeTenJROxXQtbZSqIIyI0FcDUwE+gAe3aYFAvsBJ/Ce5tJ3VYqUihqFJz2dM7//zullyzi9bDkNr51Io5tuol6XzkTddSfhF11EkKapl4rCZ46fyeS1xdv4fM1eQgP9eeLy9lzbpxWBASqga22mqBbUUmA58BTwp+bScwDM6OMXAa/qNu1LzaXPrHgxFTUB6fGw//4HOL1sGTI9Hb+QEEIvuICg884DwD88nMZ3qrHYipLxySo3L/24ldTMHK7t3ZJ7h55Hg1BlAq4LFKWgLinIpKe59CMYM+LOMVtUijpK9vHjnP75ZzL37KHJAw8g/PzwCwoicswYwgYPJqTX+Sq4qqJUeAfy3X8ijW4tG/B/do34puFVLJmiMhFSFj1jhTmX0wHNpWfqNq0/0Bn4THPppypBviIJDQ2VZ86cKVMdM2bMAGDSpEllF6gOkHXkCCmLF5OyaDGpf/wBHg+WVi1p8+23akI+RblwJCWd++f8yS0D2jDgvMZk53gIUHMzlRtCiFQpZWhVy+ELvlz1bwCp27S2wCeABnxeoVIpqhU5p07hSU8H4NTChRz+9zNkHz1Ko1tvofW8r2n7ww9KOSnKjMdjfCxH1LOQkp7FidRMAKWc6jC+ePF5NJeepdu0McDrmkt/U7dpGypaMEXV4klP5/Sy5ZxyLuD0suU0+/fTRI4eTeTo0YT1709QXFxVi6ioJWRk5/DxSjdfrdvPN3deQL1Af7658wLlRKPwSUFl6zbtaoypM3Jjyagh2rUUT3o6h556mpTFi/GcPo1/4ygaTBhPvY4dAfCPjMQ/Us04qig7UkqW6Ed4xrkF97FULmrXmJT0LOoF+ivlpAB8U1CTgTuAFzWXvku3aa2BWRUrlqIyyTp0iPQtWwgfPBi/4GCyEhMJHzaMiMvthPTujfBXgx8V5cuOIyk89Z0xnqlt41Bm3Hg+g9o1qWqxFNWMYp0kqjPKSaL0eDIzOf3zz5z86mvO/PorfvXqEb/yN/yCg8/yoFIoypPktCze+Gk7n6xyUy/Qn3uHnsf1fVthUf1MlUZlO0lYE5xRGA0dK16NIrfDfktxZYttQek2rQ/whFflApCaSz+vdOIqqppTixdz6P+eIOfkSQKaNyfq9tuIGDMGv+BgAKWcFBXC938f5LFvNnEiNZNx57fkwWHn0UjNz1QXmA/8DvwK5JSkoC8mvo+AfwHrSlq5onogPR7O/PILAU2bEmyzEdS6NSG9exN59dWE9u2jTHiKCsXjkfj5CUKCAohrHMYTI9rTMSaiqsVSFIA1wdkCw1u7GeABprsd9jfy5RHAG8BlQCowye2wry+i2lC3w/5AaeTxRUGd0lz6d6WpXFG15Jw8ycmv53Fi1iyy9u0j8uqraP7vfxMUF0fsG69XtXiKWk6OR3LfnI1ER9YjYbiNgec1ZkB8lGqhV2+ygQfcDvt6a4IzHFhnTXAudjvsW7zyDAfizaU38D/ztzC+tyY4h7kd9kUlFcYXBfWzbtOeB74G8iJLaC79r5LuTFF5JL35Jsc+moFMS6Nezx40ue9ewocOrWqxFHWA3IG1/n6C8OAAwoP/ec0o5VS9cTvsB4GD5v8Ua4JTB2IAbwU1CvjE7bBL4HdrgjPSmuBsbpYtiNuAh60JzlQgE7ObyO2wNyxOHl8UVP98vwASGOBDWUUlkq7rBLVrh/DzA39/6l9yCQ1vnERwu3ZVLZqiDiClxPn3QRzfu3jn2h50jIng2Ss6VbVYilJiTXBagW7A6nybYoB9XuuJZlphCiqqtDIUq6A0l35haStXVDxSSs6sXMmx6e+Runo1sf99m/DBg1VQVkWlsvlAMk99t4U1u4+jNa+PpwZ7B9cBAoQQa73Wp0spp3tnsCY4w4CvgHvdDnv+sHYFNYMLveBuhz3HmuAcB7RxO+zPWROcsUBTDL+GogUtLoNu0xoDzwAxmku/XLdp7YFemkufUVxZRcWRq5iOvvU2aRs2ENCkCU0eeoiQ88+vatEUdYhjpzN4ZfE2Zq/ZS0Q9C89e0ZFx57fE30+Z8qox2VLKnoVttCY4LRjKaabbYf+6gCyJQAuv9VjgQBH1vYUR3GEA8ByGY8U7QLEvK19MfDOAmcDD5vp2jGjmM3woq6gosrM59MSTyJwcmj35BBFXXqkihysqjdzp1l//aRtnMnO4oZ+Ve4ecR0SICjJTkzE99D4AdLfD/moh2b4F7rImOGdjOEckF9H/BNDP7bB3tyY4NwC4Hfbj1gSnTy8rXxRUE82lf67btIcAzLh8yt28Ckhdv4HjH31E9Msv4RcURIvp72Jp0UIpJkWl4jp0irs/38D2I6e5MD6KJy5vr6bBqD1cgBHW7m9rgnOjmfYo0BLA7bC/AyzEcDHfgdEaurGYOrOsCU4/TDOgNcHZCMOFvVh8UVBndJvWMLdy3aadD6T4UrmifMjYvZukV18jZfFiAho3JtO9h+B25xHUtm1Vi6aoQ+SOZ2ocFkS9QH/eu74nQzU13Xptwu2w/0rBfUzeeSRQkk7utzFMho2tCc6ngLHA074U9EVBPQh8B7TRbdpyDG+Nq0ognKKUeDIyOPLCC5yY8wV+QUFETb2bRpMm4RcSUtWiKeoY7y7fyRL9CLNv6UOjsCDmq2jjCh9xO+yfWBOc64ChGMrvarfDvsmXsr548a3VbdpFGPNACc72h1dUICIwkIxt22lwzVii7riDgKhSe2sqFCVGSolHgr+foEn9IFo0DCEtK4fQoAClnBQ+Y01w3uB22D8GNnulPeN22B8vrmyxERp1m/ae5tIzNZf+p+bSN2IoNWeZJFYUSur69ey59jqyk5IQQtByxkc0e+IJpZwUlcrmA8mMfXcVH/22G4ArusXyytguhAb5YnRRKM5igulmDoA1wfkmhudfsfhytyXpNu0/mku/W7dpkcAClAdfuZN94gRHXnyJ5HnzCGjWjKz9+wlo3BgRoF4IisrjZGomryzaxszVe4gMCaRRmHLAUZSZK4DvrAnOHIwwSaluh32SLwV9mm5Dt2mvAMFAT+AVzaV/UXpZy4/aMt3GqR8Xcejpp8lJTqbRjZOIuu02/EIrLRq+QkGORzL7j728/ONWktOyuL6vlfuGKrfx2khlTbdhTXDW91qtj+HL8BuGVyAFDAA+h0I/z3WbNtJrdQXwFEbIi3Tdpo3UXPq3pRFacS4pixdjadqUlh9+oMISKSqddXtO8OS3m9i0/xS9WjfkqZEd0JrXL76gQlE0mzG8v4XX7yhzkZiu60VRlP3o6nzrfwMhZrrEGKylKCUpP/+MJTaW4PPOo9m0afgFBSIs6mtVUXmkZ+Xw2LxNfLU+kab1g3hjXFdGdolWDhCKcsHtsLcoPlfRFKqgNJd+XVkrV5yLJyODIy++xImZM4kYM4bo557FP0yZ8xSVT1CAH4dPpXPbwLbcPThOOUAoKgRrgjMAuIV/AowvA953O+zZxZX1JRZfNMbkVLnRzFcA92kuvdDYS4qCydi1i/33P0CGy0XDSZNofP99VS2Soo6xaX8y/zd/E+9c24Om9YP5ZHIv/FTcPEXF8jYQCnxorl8LdMdQWkXi64y6c81KwQiD8RFwSVGFdJv2IXA5cERz6R3NtGnAzUCSme1RzaUvNLc9AkzBmLV3qubSf/RBthpD2saN7LlxMn7BwbR49x3CBg6sapEUdQgpJUIY8zOlpGdzKDmdpvWDlXJSVAZ93A57F6/1RdYE55++FPRFQTXVXPp7Xuvv6zbtLh/KzQDewpg+2JvXNJf+sneCGSF9HNABiAZ+0m3aeZpLrzUx/4JsNiJGjSTq9juwNG1S1eIo6gjpWTm8t2IXrsMpvD2hO60ahbL4vgGqn0lRmXisCU6r22F3Q948U+UWi++4btPGYUQwByOO0vHiCmkufYVu06y+CIHh1TFbc+kZwG7dpu0AegGrfCxfLclJSSHptddpfN+9+IeH03zatKoWSVFHkFKyRD/C0wu2sPd4KsM7NiM9K4dgi79STorK5l/ACmuCcxuGJ18chrWsWIqNJAFMBq4HjmKY5q7ztfJCuEu3aX/pNu1D3aY1MNMKm6HxHIQQtwgh1goh1mZnF9vHVmVkHT7MnonXcuKLL0hdV+y8XApFubH76Bkmz/iDmz5ZS2CAH59N6c3/ru1BsMW/qkVT1CGsCc4+AG6HfTHQDkNR/QuwuR32n3ypo6hxUHdpLv0tzaW7MUKrlwf/A/6N4ab+b+AVDAXo8wyN5syP08EYqFtOcpUrGTt3svfmm/Ekn6Ll9HcJ7devqkVS1AHOZGTz9tIdvP/LbgID/HjcrnFDPysWf1++QxWKcue/GM4QuB32NGB9SSsoysQ3GaMPqdzQXPrh3P+6TXsPI2wSlHCGxupM2l9/se/mW8BiodWnnxDcvn1Vi6SoA/yw6RBPfbeZg8npjOkeQ8JwG03Cg6taLIWiTFTqwAfdpjXXXHruzItXALkh178FPtdt2qsYThLxwJrKlK28CIiKIrhTJ5pNe5LAWJ/iISoUZUY/eIoGIYG8NaEbPVo1rGpxFAqANtYEZ6EBHdwO+8jCtuVSlILqrNu0gmIlCUBqLr3IWCi6TZsFDAKidJuWCDwJDNJtWlcM850buBVAc+mbdZv2BcZUHtnAnTXNgy9j124CW7XEEh1Ny/ffK76AQlEG0rNy+M/P2+nesgFDtKbceVEcdw+OI0CZ8xTVhySMbpxSU5SC+ltz6d1KW7Hm0scXkPxBEfmfBZ4t7f6qkrQ//2Tv5Ck0uO5amtx7b1WLo6gD+PsJftpyBClhiNaUwAClmBTVjhS3w768LBWo2CZlJGPXbvbdehv+DRvSYHxBOlmhKB/cR8/wxpLtPD2qA+HBFubd2Y+QQPUIK6ot7rJWUNRn15dlrby2k52UxL6bbwY/P1p+8D6Wpk2rWiRFLSQ9K4dXF29j2OsrWLzlMJsPGJZ3pZwU1Rm3wz6mrHUUFSz2ubJWXpuRHg/77rqL7BMnaPXxxwS2LDZyvEJRYpboh5n23Wb2HU9jVNdoHr1Mo2l95Z2nqBuoT7BSIvz8aPrQQ3jS0qjXqWNVi6OoZew7nspT323mJ/0I8U3CmHVzH/q2bVTVYikUJcKa4BRArNth31ds5gIo1MSn27R7zN8LSilbrSUzMRGAkJ49CbvwwiqWRlGbSM/K4c0l2xn66nJW7jzGo5fZWHjPhUo5KWokboddAt+UtnxRfVA3mr//KW3ltZHUdevYeelwkp3OqhZFUQvZtD+ZVxdvY2j7pix5YCC3DGirIkEoajq/WxOc55emYFEmPl23aW6gsW7T/vJKzx0H1bk0O6zJ5KSkcOChf2GJjlbTZSjKjf0n01i54yhX92xBT2tDfrj3QmzN1JTrilrDRcBt1gSnGziDqUPcDnuxOqQoJ4nxuk1rBvwIFDvity5w+JlnyTp8GOvMz/APC6tqcRS1hOnLd/LV+v0Ma9+MiBCLUk6K2sbw0hYs0nagufRDmkvvAhwEws3lgObS95R2hzWVUz8uInn+fKJuu416XbtWtTiKGs6v24/yV+JJAO6/uB0/3jeAiBBLFUulUJQ/bod9D0as1cHm/1R8m0mj+Ey6TRsIbMeYtve/wDbdpg0oulTtw5NyipCePYm67daqFkVRgzmSks7UWRu49oPV/G/ZTgAiQizERNarYskUiorBmuB8EngYeMRMsgCf+VLWFzfzV4FhmkvfCqDbtPOAWUCPkotac4m86ioirrxSTfamKBU5HsnM1Xt46cetZGR5uGdIPLcPalvVYikUlcEVQDfM6TbcDvsBa4Iz3JeCvigoS65yAtBc+jbdptUZW0S6rpOxfTv1R4xQyklRKjbtT+bReX/zV2Iy/eOieHpUB9o0Vn2YiuqJNcH5IXA5cMTtsJ8zyNOa4BwEzAd2m0lfux32p4uoMtPtsEtrglOa5UN9lcUXBbVWt2kfAJ+a6xOBOjNF7OEXXyTDtZWwwYOVY4SiRKSkZ/HKom18sspNw9Ag3hjXlZFdotWHjqK6MwNjLsBPisjzi9thv9zH+r6wJjjfBSKtCc6bMeYa9GnKB186qm4HNgNTgXswpsS4zUfBajSnf/uN1FW/E3X7bUo5KUqElJKr31nFx6vcTOzdiiUPDGRU1xilnBTVHrfDvgI4Xo71vQzMBb4CzgOecDvsPo2vLbYFpbn0DIx+qFfLImRNQ3o8JL3yKpaYGCLHjatqcRQ1hH3HU4mOrIe/n+DBYe2ICg+ia4vIqhZLofAmQAix1mt9upRyegnr6GtNcP6JMfP5g26HfXMx+f8G6mHMBfi3rztRQ9QL4fSy5aRv2ULU3XfhFxhY1eIoagA7jqQw5NXlzFxtjMIY2r6pUk6K6ki2lLKn11JS5bQeaOV22LtgRBoqMpSRNcF5E8YM6WOAqzAiS0z2ZUdKQRWCsAQQOuBCIi731cyqqKscPpUOQNvGYdwzJJ5LOjSrYokUiorD7bCfcjvsp83/CwGLNcEZVUSRh4Bubod9ktthvwHDA/xhX/ZVIgWl2zQ/3abViWHuYRdeSMvp0xEBKuC7omCSUjK4b85GLnp5GYknUhFCcOdFcWo6DEWtxprgbGZGKcea4OyFoUeOFVEkEUjxWk8BfIpuXuzbV7dpn2M4ReRgeO9F6DbtVc2lv+TLDmoip1esoF63bviH++Sqr6hjeDySz9fs5cUfXKRl5XD7wLZEhQVVtVgKRblgTXDOAgYBUdYEZyLwJMbgWtwO+zsYZrrbrQnObCANGGdGLS+M/cBqa4JzPkYf1ChgjTXBeb9ZZ6H+Db40D9prLv2UbtMmAgsxmmbrgFqpoLKTkth3+x00mnwjTR54oKrFUVQzNh9I5rF5m9i47yR92zTi36M7EtdEeXgqag9uh318MdvfwnBD95Wd5pLLfPO32BaATwN1zYG5o4G3NJeepdu0orRljebkN99ATg4RY8o8W7GiFnE6I5vXFm/jo9920zA0kNev6cqormpMk0JRHG6H/anSlvVFQb0LuIE/gRW6TWsFnCrtDqszUkpOzp1LSM+eBLVuXdXiKKoJf7iPc8+sDRw8lc74Xi15+BKbCuyqUFQCvoyDehN40ytpj27TLqo4kaqOtA0bydqzl6jbb69qURTViEahgUSFB/GfCd3p0apBVYujUNQZfHGSCAKuBKz58hcVe6lGkrZhPSIwkPChQ6taFEUVM3vNXtbtOcFLV3ehTeMw5t95gTLnKRSVjC8mvvlAMoZjREbFilO1NJoyhYhRo1RYIwXHUzM5kJxGWmYO9QL9lXJSKEqINcH5HwyvvQJxO+xTi6vDFwUVq7n0S0siWE0mIKqo8WaK2kp6Vg5vLtlO59gILu3YnFsHtOX2gW2VYlIoSs/a4rMUjS8KaqVu0zppLt3n+Ek1kaPT3yNd30LMK68g/FSAjbrEr9uP8tg3f7PnWCq3DmzDpR2b4++nFJNCURbcDvvHBaVbE5zBwAhf6vBFQfUHJuk2bTeGiU8AUnPpnX0VtCZweskSAKWc6hDHTmfwjFNn3ob9tI4K5fObetMvTrWgFYryxprg9AeGAeOBS4BfgC+LK+eLghpeNtGqP/7pGaT9/TeNbr2lqkVRVAJSSr5cl8hzC3XOZGRz9+A47rwojmCLf1WLplDUKqwJzgHABMCOETD2AqC122FP9aV8sc0FzaXvASIxmmQjgEgzrdZQf+9e8HgI69evqkVRVDC7kk4z4b3V/GvuX8Q1DmPh1At5YFg7pZwUinLGDJPkAH4D2rsd9iuBNF+VE/igoHSbdg8wE2hiLp/pNu3u0olcPQnfuwdRrx71unSpalEUFYiUkjs/38CmA8k8d0Unvri1L/FNVbxFhaKC+AqIAa4BRphTvZcoCpGQsuj8uk37C+irufQz5noosKo69EGFhobKM2fOlKmOGTNm0HTdOro1aUqz/3u8nCRTVCfW7TmOrVl9QoMC0A+eolFYIE3CVcRxRd1ECJEqpQytjH2ZUc8vwuh7ugyoD0wBFuZO2VEUvvRBCYxI5rnkmGm1hsM9etBs0qSqFkNRAew9lsrV76zi7sHx3HfxeWjN68RsMQpFtcCMcv4z8LM1wWnB8GkYB/wXKNYjyRcF9RGwWrdp88z10cAHpRO3+uGXmYlUnnu1ju2HU4hvGk7LRiG8PaE7A85rXNUiKRR1FmuCszGA22H/FvjWmuCs50u5Yk18ALpN647hbi6AFZpL31AGWcuN8jDxfX/33bT8eSntli9Tg3RrAUdPZ/DUd1tY8NcB5t95AZ1j1ZTrCoU3lWXiM817TwJ3Yfg7CCAb+I/bYfcpVF6hLSjdptU354FqiBHN3O21raHm0o8XVbFu0z4ELgeOaC69Y245YA5GXD83MFZz6Sd0myaANzBslKnAJM2lr/flAMpKyJEj5AQG4t+oUWXsTlFBSCmZt2E/Ty/YwpmMbO4dch62Zsqcp1BUIfdiuJWf73bYdwNYE5xtgP9ZE5z3uR3214qroCjb1ufm7zqMkBW5S+56ccwA8odISgCWaGUTXsQAACAASURBVC49HlhiroNhl4w3l1uA//lQf7lQ7+gx0qKiVEibGkziiVRu+OgP7v/iT9pEhbJw6oXcMzSewABlulUoqpDrgfG5ygnA7bDvAq41txVLoS0ozaVfbv6WamIkzaWv0G2aNV/yKIyphAE+BpZhzNA7CvhEc+kS+F23aZG6TWuuufSDpdm3r0gpqXf0KMfaaxW5G0UFkeORfLzSzcuLtgIwbUR7rutrVWGKFIrqgcXtsB/Nn+h22JNMh4liKcrE172ogqU0wTXNVTqaSz+o27QmZnoMsM8rX6KZVqEKKjspiYCMDNJU31ONY9/xVKbO3sCGvScZ1K4xz17RiZhIn/pdFQpF5ZBZym15FOXF90oR2yQw2Jcd+EhBn7wFem8IIW7BMAMSGBhYtp1aLOwdNIhTLVuWqR5F5RMaFEBKejavXdOF0V1jlIlWoah+dLEmOE9hxm/1SheATwMRizLxVcSsuYdzTXe6TWsOHDHTE4EWXvligQMFVSClnA5MB8OLryzCBDRowME+vctShaIS2bjvJJ+sdPPS1V1oGBrIonsH4KfMeQpFtcTtsJc5flhRJr4xRRXUXPrXpdjft8ANGPGZbsCYDDE3/S7dps0GegPJFd3/BJCZuJ/A5FNkRihvr5rA3uOprNp1jMQTqbRqFKqUk0JRA7AmOIe6Hfaf8qXdUNh0HN4UZeIrar4OCRSpoHSbNgvDISJKt2mJGP7wDuAL3aZNAfYCV5vZF2K4mO/AcDO/sTjBy4Ok119H++UX/rz9tsrYnaIU/LI9iYPJ6Yzt2YIRnZszVGtCSKAv48sVCkU14QlrgvNK4EEgDHgfY+qm0isozaWXSUloLn18IZuGFJBXAneWZX+lIevAATLrq9ZTdeRUehbPLtCZs3YfHWPqc2X3WPz9hFJOCkXNYyDwALDRXH/C7bDP8qXg/7d353FSVNcCx39nNpZBVkXZtMVBulxg2KMSxS2ijegzxJFHFESeGkXcYmw1MTF58bUmTw2PJISgQY0KilHQVnBh0agoq7JUo4CNwCAgOwzMet8fVY3DMEvP0tM93ef7+cxnuqq7qk51QZ25VbfOre4S30+tkP1P22vdU9n7Vsh+otZhJpji/HwKtQdfwpkf2s4D/1rJ9v2H+dmQ07jz4h7adVyppqsdzq2b9Tj9C07x+IPi1umrVnVPMkZKYRxXxU+TZkpKKNm+nUJtQSWMvQXF3Pvy59w4bTGtW2Tw2m3ncf9Qr47VpFTTtgh4OxzwDQUGAJ1xxoiqUXWX+P7m/n6kISJMNCW7dkFZGcWtWsU7FAW8u2YbD722kp0Hi7jjohzGX5RDswxNTEolgUvCAd83AOGA7xAwwR1pt0ZVFou1vdbE6ha0QvaE2kbZ0OpTLLbs4EH2z5vPW199SWH79ozR4Tbi5i8L1vH4nLVYnVrzhxG9OKtLm3iHpFTSaszxoOqrujvOtwKrgJdxnklKqpsAadnZtLlyGIXTpsU7lJRVWFJKs4x0rjirE8Ulhp8NOU3r5ykVZx5/8Eih73DAd1Yl7x9T3Dsc8MWkuHd1CaoTTjfwPJwS6TOAV62QvTsWgTS24q1bKdq0CSkpwWRoz7DGdu/Ln7PvcDFTru+H5/hs7rykR7xDUko5pgGTgOeqeL98ce9BOMW9Y1LxoMo/V62QvdMK2ZPdihJjgLbAattrXR+LQBrb/vfe55sbRpNeFFVJKNUAyl9OPrNza3p3bUMUw5EppRpROOD7AKhuOKWrgOfCAZ8JB3yLgLYef7BTdev0+IPpHn+ws8cfPDnyE00sNTYd3KKxI4FLgbdxhtto8kp37wIRSppHVRJK1dP2/Yf51eurGN67C75enRg7uE5F8pVS8Ver4t4ef/AOnEIN24Ayd7YBetW0oeqeg3oE5zqkDUwHHrBCdkkUwTcJpXv2kN6mDehw7zFljGHWinx+88ZqCopK+WEPHXpdqTjLEJHyY/pNcWucRivq4t6uO4Ge4YBvZy22AVTfgvoVsAHo7f48anutSHDGCtk1Zr9EVnrgAGnaxTymvjtQyEOvrWTu6m30Pbktj4/oTU5H/c6VirMSY0z/eiwfdXFv1yZgb102VF2CSuprMGUFBaS1bBnvMJLW2yu38tDrqzhQWMKDV3i5aXB3rQahVHKYDYz3+INHinuHA77qintvABZ4/MEgTg0+AMIBX43ViKpLUN+4NfKqZHstqekzieqE226j7OBBWL063qEklT0FRfx69mpmrcjn7C5teOLa3vQ4sckXHlEqZXj8wSOFvj3+YKTQdyZAOOCbTO2Le3/j/mS5P1Gr7kHdBcCrwCwrZH9Tbn4WMBhnuIz5VsieVpsNNqT6PKgbMc19Dkof1G0YI6csYnF4FxMu7sHPhpxGZrre41MqkSTLg7pDgbHAS7bXOhXYgzMKYjrwDvCkFbJXVLN8QjvwwQekd+gQ7zCSwv7DxUcqjT94hYUIWg1CqRTn8QefCgd8d3n8wTeopBNFOOAbXtM6qqvFdxj4C/AX22tlAscDh6yQvaceMSeMrQ//muxzzoGep8c7lCbtYGEJV0z8kIt6duSRq87i7K6amJRSADzv/v5jXVcQVQkFK2QXU0Uf96aqrKCAtOwm0cpNSKVlhvQ0IbtZBtf/4BT6e9rHOySlVAIJB3xL3d8L67qOlLxBYIyh7OBB7cVXR0s37uLSJxeyJOw8bH7z+afR9+R2cY5KKZVsUrMIXWkplJaS1kKrSNTG4eJSnnz3S/7+4QY6tWkR73CUUkmuxhaU7bXG214rqf48NsXFAEhmZpwjaTpW5+9l+KR/87cPNpA3oBtz7z5fL+sppaLm8QdrfU8lmhbUScBi22stA54B5jbVZ58iJCuLU156kcxOnWDOnHiHk9BKywxTPtjAE++upW3LLP5x4wAu7Nkx3mEppZoIjz94LjAVaAWc7PEHewO3hAO+22patsYWlBWyf4lTVv1pnKrmX9le61Hba51Wr6jjSNLTadmnD5knnRTvUBLapl0FjJyyiMfmhLjYeyJz7zpfk5NSqraeBC4DdgKEA77PgahG1I2qk4TbYvrW/SkB2gEzba/1eF2ijbeygwfZ86/XKNq4Md6hJKzSMsP1T3/Kmq37+ONPevPXn/alfXatHgJXSikAwgHfpgqzSqNZLprhNibgVI34DqeZdp8Vsottr5UGfAX8opaxxl3Jrl1sffBBOgX+J96hJJw9BUUc1zyT9DThsR/3onPbFnRrr70dlVJ1tsm9zGc8/mAWMAFnlIwaRXMP6njgGitkH9XcsEJ2me21htU61ARwpJNEhnaSKG/7/sMMm/hvRp/r4fYLcxjUXSttKKXq7VacIeK74FRCfwe4PZoFqxsPKtJF66kK0wBYIXuXFbKjyoKJRnvxHc0Yg4hwQqtmjOjXlSE9dcwmpVTDCAd83wGj6rJsdfeglgJL3J+lFX6WVLNcwjNFmqAiVm7ey5WT/s36HQcQEX4x1MuZnbVckVKqYXj8wWc9/mDbctPtPP7gM9EsW10tvqQdD0pbUFBSWsbkhet56r2vOL5VM/YUFMU7JKVUcuoVDviO1HANB3y7Pf5gn2gWjKqShO21rsEZYsMAH1oh+/U6hZkgmlteTp01i8wuXWD9uniH0+g27y7g7hkrWBzezbBenfjvq8+ibUvtoaeUiok0jz/YLhzw7Qbw+IPtiTL3RNOL7y9ADvCSO+tW22tdaoXsqG5yJaK0Fi1onqJVzN/8Ip8H/rUSY+DJvN78R5+u8Q5JKZXc/hf42OMPznSnfwL8PpoFo8liFwBnRapH2F7rWWBlXaJMFMVbtrB/3nxaD70s3qE0moOFJTzyxmpeXrKZ3G5tmXhdH07uoN3HlVKxFQ74nvP4g0uAiwABrgkHfGuiWTaaB3XXAieXm+4GfFHrKBNI4YYNbPv97ynesiXeoTSK0jLDTyZ/witLNzP+whxeufUcTU5KqZjy+IOt3d/tcYo8vAi8AHzrzqtRNC2oDoBte63P3OkBwCe215oNYIXsGkdFTDhVDHOfbMrKDCKQnibcckF3Oh7XnHNO02eblFKN4kVgGE7P7/InXXGnu9e0gmgS1MN1Cq0pEIl3BDGz73Axt7+wjKtzu/Djfl25KrdLvENSSqWQcMA3zOMPCnBBOOD7pi7riKZY7EKcy3xtgNbAWitkL4z81GWjcZcCLajsrAzSRChLgX1VSiWmcMBngNfqunw040GNAz4DrgFGAItsrzW2rhtMKEnWgjpcXMpjc0Ls2F9Iepow7cYB/KR/t3iHpZRKbYs8/uCAuiwYzSW++4A+VsjeCWB7rQ7AxzhjQzVJLQcO5LT33iOj4wmwbFm8w2kQ67YfYPyLywh9ux9Ph5bkDTgZSbIErJRqki4EbvX4g2HgIO49qHDA16umBaNJUJuB/eWm9wMVS6fXiu21wu56SoESK2T3d2v9zQA8QBi41grZu+uznaqktWhBVtfkuSfz6tLN/PL1VbTIStcBBZVSiebyui4YTYLaAnxqe61ZOD0vrgI+s73WPQBWyH6ijtu+0ArZ35Wb9gPvWyE7YHstvzt9fx3XXa2ijRvZN2cubf7j6lisvtEUFJXw8KzVzFy6mUGntmfiyD6c2Lp5vMNSSik8/mBznErmOTjPzj4dDvhKarOOaBLUevcnYpb7+7jabCgKVwFD3NfPAguIUYIq3LCBHU8+Sfa558Zi9Y1i7bf7uf3FZazfcYAJF+Uw4eIeZKRHNf6kUko1hmeBYuBDnFbUGcCdtVlBjQnKCtmP1Cm06hngHdtrGeBvVsieApxoheyt7ja32l6r0utUInIzcDNAVlYd68c18Y5tLy/exMOzV9GqWSbPjx3E4B7HxzskpZSq6IxwwHc2gMcffBqns12tRFOLbz6VnNKtkH1RbTdWznlWyM53k9C7ttcKRbugMWYKMAUgOzu7fqmmiXYi2LS7gH6ntOPJvFw6HqeX9JRSCak48iIc8JV4/MFaryCaS3w/L/e6OfBjoFbXESuyQna++3u77bVeAwYC22yv1cltPXUCttdnG9Vrek2oNfn7OFhUwgBPe+66xCl0m57WNBOsUiol9Pb4g/vc1wK0cKcjvfha17SCaC7xLa0w6yPba9X5AV3ba2UDaVbI3u++/hHwW2A2MBoIuL9nVb2WBtJEzu/GGO6b+TlpIswef54mJqVUzHj8waE4Q7SnA1PDAV+gwvtjgD/gdKADmBQO+KZWXE844EuvbyzRXOIrX9QvDegHnFSPbZ4IvGZ7rcj2X7RC9hzbay0GXra91k3ANzgl2WOi1eDB9PjkY9KPOw4WL47VZuqtoKiENBGaZ6bzfyP70KZFpj7bpJSKGY8/mA78GbgU5xGjxR5/cHYl1cdnhAO+8bGOJ5pLfJFCf4Jzae9r4Ka6btAK2RuA3pXM3wlcXNf11oZkZZFR1w4WjWT9jgP87J9Lye3WlsdH9Kb7Ca3iHZJSKvkNBNaFA74NAB5/cDpOD+uohsdoaNFc4ku6od8Lv/qKvW+8Sbufjop3KJV6e+VW7pv5BVkZaQzvnTwPFCulEkKGiCwpNz3F7XwG0IWjCzFsBgZVso4fe/zB84EvgbvDAV+9ijdUGWhVb9heawCwyQrZ37rTN+B0kNgI/MYK2btiEVBjKAyH2TllCq2vqPMDzjFRXFrG43NC/P3Dr+lzclv+/J996dy2RbzDUkollxJjTP8q3qvsHkLFXmVvAC+FA75Cjz94K87zTvXp1V2l6lpQfwMuAbC91vk4nRfuAHJxunmPiEVAjSIBK3xv33eY8S8u57PwLsac6+HBKyyyMvTBW6VUo9qMMyhtRFcgv/wHwgHfznKTfwcei1Uw1SWo9HKtpDxgihWyXwVetb3WilgF1KgSpMPBog07Gf/icg4WlvCn63J17CalVLwsBnp4/MFTcXrpXQf8Z/kPePzBTuGAb6s7ORywYxVMdX+ip9teK5LALgbmlXsvms4ViSuBGlDzQtsYNfVTWrfIYNb48zQ5KaXixq2VNx6Yi5N4Xg4HfKs9/uBvPf5gZPT0CR5/cLXHH/wcmACMiVU81SWal4CFttf6DjiEU08J22vlAHtjFVDjin8LatCpHbhp8KlMuLgHrZo17byvlGr6wgHfW8BbFeY9XO71A8ADjRFLlS0oK2T/HrgXmAYMtkK2KbfMHbEPLXaOu+Rien7xOc165MRl+5t2FXDn9OUUFJWQ3SyDB6+wNDkppVQF1Z4VrZC9qJJ5X8YunMYh6elIer0fcq6zr787yAdf7mD99oOc3bVN3OJQSqlElpLdxA6vWcO3v/tvirfHsNxfBcYYvti8B4DzTz+BD++/SJOTUkpVIyUTVNHGjex+4QXK9jbOrbTDxaXc8/LnXP3nj1i52dmmXtJTSqnqpfZZshG6mW/Zc4hbnl/C6vx93Hvp6ZzVpcYCvkoppUjVBNVID+ou3biLW55fSmFxGX+/vj+XnHFio2xXKaWSQUomKBNJUDFsQc1asYX7Zn5B5zbNmX7zAHI6arFXpZSqjZRMUJKWBpmZMUlQZWWGp977konz1jHo1PZM/mk/2mUnduV0pZRKRCnZSaL15ZdjrfyCZt27N/i6fzVrFRPnrePa/l15/qZBmpyUUqqOUrIFFUvDe3fm5PYtufn87jq4oFJK1UNKtqAOrVhBvv8BSnbsaJD1rcnfx7MfhwEY1L0Dt1xwmiYnpZSqp5RMUEWbNrP39dcpPXCgQdb3/KIwkxeuZ//h4gZZn1JKqZS9xNcw3cwPF5fSPDOdR4afxZ6CIo5rntkg61VKKZWiLaiIul6GM8bwlwXruGLih+w+WERWRhodWzdv4OiUUiq1pWaCqseDuqVlhl/PXs3jc9ZyVuc2ZGvJIqWUiomUPLtKZibpbdpALSuaHy4u5c7py5m7ehu3nN+d+4d6SUvTzhBKKRULKZmgWl9+Oa0vv7xWyxwoLOGmaYv5LLyLh4edwdjBp8YoOqWUUpCiCaq2dh8sYsw/PmNV/j6eysvVYdmVUqoRpOQ9qIOffsbmOyZE9RzU9n2HuW7KIuyt+/nrqL6anJRSqpGkZIIqzs9n/7vvUnb4cI2f/eeijXyzq4BnxgzgR2ee1AjRKaWUglS/xBdFN/M7Lzmd4bmdyel4XCMEpJRSKiIlW1A1dTPftKuAkVMWsXl3AelposlJKaXiIMUTVOUtqN0FRWzeU8CeAi1dpJRS8ZKSl/jSsluS2bkzknH0c1AFRSW0zMqgV9e2zLt3CJnpqZm/lVIqEaTkGbj10KHkzHufzJO+7/Swp6CI4ZM+YuqHGwCOJKdWrWoeCXfcuHGsWbMGgEcfffSo984999wal69sG0OGDGHu3LlHzXvqqae47bbbar2uhrRz504uvPBCWrVqxfjx42u1bGFhIXl5eeTk5DBo0CDC4XCln5szZw49e/YkJyeHQCBwzPt33HHHUfs5bdo0TjjhBHJzc8nNzWXq1Km1iksplZhSMkFVVFQGNz27hG92FXBWlza1Xn7q1KmcccYZwLEJ6uOPP65TTCNHjmT69OlHzZs+fTojR46s0/oaSvPmzfnd737HH//4x1ov+/TTT9OuXTvWrVvH3Xffzf3333/MZ0pLS7n99tt5++23WbNmDS+99NKR5A+wZMkS9uzZc8xyeXl5rFixghUrVjBu3Lhax6aUSjwpmaAOfPgh39w0jpKdOyk18Gp+a5Z9s5s/5eXyg+4dKl1mwYIFDBkyhBEjRuD1ehk1ahTGvZc1ZMgQlixZgt/v59ChQ+Tm5jJq1Cjg+xbNgQMHuPjii+nbty9nn302s2bNqjbGESNG8Oabb1JYWAhAOBwmPz+fwYMHR7WuBQsWMGzYsCPT48ePZ9q0aQAsXbqUCy64gH79+nHZZZexdevWY5YfM2YMt956Kz/84Q85/fTTefPNNwHIzs5m8ODBNG9e++K4s2bNYvTo0Uf27/333z/yHUZ89tln5OTk0L17d7KysrjuuuuO7F9paSn33Xcfjz/+eK23rZRqelIyQZVs28bBjz7CFBXx3o5s1h5oxm+Hn8nlZ3eqdrnly5fz1FNPsWbNGjZs2MBHH3101PuBQIAWLVqwYsUKXnjhhaPea968Oa+99hrLli1j/vz53HvvvcecnMvr0KEDAwcOZM6cOYDTesrLy0NEar2u8oqLi7njjjuYOXMmS5cuZezYsTz00EOVfjYcDrNw4UKCwSC33norh2t4biwvL+/IZbbyP8899xwAW7ZsoVu3bgBkZGTQpk0bdu7cedQ6yn8GoGvXrmzZsgWASZMmMXz4cDp1OvY4vfrqq/Tq1YsRI0awadOmqL4LpVRiS8lOEpGT+ezQLj7Z1ZKB7Qq4/hxPjcsNHDiQrl27ApCbm0s4HGbw4MFRb/PBBx/kgw8+IC0tjS1btrBt2zZOOqnqh38jl/muuuoqpk+fzjPPPFPndUWsXbuWVatWcemllwJOq6SyEz7AtddeS1paGj169KB79+6EQiFyc3OrXPeMGTOq3XZlSbTikCdVfSY/P59XXnmFBQsWHPP+lVdeyciRI2nWrBmTJ09m9OjRzJs3r9pYlFKJL+ESlO21hgJ/AtKBqVbIPvYueX0Zw+ZWJ/DQ+xs5uUURl3U8GNVizZo1O/I6PT2dkpKSqDf5wgsvsGPHDpYuXUpmZiYej6fGFsnVV1/NPffcw7Jlyzh06BB9+/aNel0ZGRmUlZUdmY68b4zhzDPP5JNPPqkx5orJo6bxs/Ly8li7du0x8++55x5uuOEGunbtyqZNm+jatSslJSXs3buX9u3bH/XZyGciNm/eTOfOnVm+fDnr1q0jJycHgIKCAnJycli3bh0dOnx/Wfa//uu/Kr23pZSKjscfPOocHA74AhXebwY8B/QDdgJ54YAvHItYEuoSn+210oE/A5cDZwAjba91RkNvp8zAE33yaJaexojO+0lvwBEzMjMzKS4+9vmpvXv30rFjRzIzM5k/fz4bN26scV2tWrViyJAhjB079qjOEdGs65RTTmHNmjUUFhayd+9e3n//fQB69uzJjh07jiSo4uJiVq9eXen2X3nlFcrKyli/fj0bNmygZ8+e1cY7Y8aMIx0Vyv/ccMMNAAwfPpxnn30WgJkzZ3LRRRcdk/QGDBjAV199xddff01RURHTp09n+PDh+Hw+vv32W8LhMOFwmJYtW7Ju3TqAo+6hzZ49G8uyqo1TKVU5jz94zDnY4w9WPAffBOwOB3w5wJPAY7GKJ9FaUAOBdVbI3gBge63pwFXAmmqXqqXtWa3ZeVwZD154CofC3zbkqrn55pvp1asXffv2Peo+1KhRo7jyyivp378/ubm5eL3eqNY3cuRIrrnmmqN69EWzrm7dunHttdfSq1cvevToQZ8+fQDIyspi5syZTJgwgb1791JSUsJdd93FmWeeecw6evbsyQUXXMC2bduYPHnykY4RHo+Hffv2UVRUxOuvv84777xzpBdjdW666Sauv/56cnJyaN++/ZF9ys/PZ9y4cbz11ltkZGQwadIkLrvsMkpLSxk7dmylsZU3ceJEZs+eTUZGBu3btz/SGUQpVWsDgXXhgG8DgMcfrOwcfBXwG/f1TGCSxx+UcMBX95FgqyDR3lxvDLbXGgEMtUL2OHf6emCQFbKPPHAjIjcDNwNkZWX1i/Ryq62ikjLS04R0HXCwUmPGjGHYsGGMGDEi3qEopRqQiBQBK8vNmmKMmQLg8QdHAEPDAd84d/p6YFA44DtyDvb4g6vcz2x2p9e7n/muoWNNtBZUZdniqAzqfpFTALKzs+ucXbMyEurqplJKNZYSY0z/Kt6r8Rwc5WcaRKIlqM1At3LTXYH8OMWS0vQymVIpKZpzcOQzmz3+YAbQBtgVi2ASLUEtBnrYXutUYAtwHfCf8Q1JKaVSxmKgh8cfrO4cPBsYDXwCjADmxeL+EyRYLz4rZJcA44G5gA28bIXsyruYKaWUalDhgO+Yc3A44Fvt8Qd/6/EHh7sfexro4PEH1wH3AP5YxZNQnSRqKzs72xw8GN0zTEoppUBECowx2fGOIxoJ1YJSSimlIjRBKaWUSkiaoJRSSiUkTVBKKaUSUpPuJCEiZcChOi6eAURf7TU56D4nv1TbX0i9fa7v/rYwxjSJxkmTTlD1ISJLqnmaOinpPie/VNtfSL19TqX9bRJZVCmlVOrRBKWUUiohpXKCmhLvAOJA9zn5pdr+Qurtc8rsb8reg1JKKZXYUrkFpZRSKoFpglJKKZWQUjJBichQEVkrIutEJGaVeONFRLqJyHwRsUVktYjc6c5vLyLvishX7u928Y61oYlIuogsF5E33elTReRTd59niEhWvGNsSCLSVkRmikjIPd7nJPNxFpG73X/Tq0TkJRFpnmzHWESeEZHtIrKq3LxKj6k4Jrrnsi9EpG/8Im94KZegRCQd+DNwOXAGMFJEzohvVA2uBLjXGGMBPwBud/fRD7xvjOkBvE8My+TH0Z04wwREPAY86e7zbuCmuEQVO38C5hhjvEBvnH1PyuMsIl2ACUB/Y8xZQDrOeEXJdoynAUMrzKvqmF4O9HB/bgb+2kgxNoqUS1DAQGCdMWaDMaYImA5cFeeYGpQxZqsxZpn7ej/OSasLzn4+637sWeDq+EQYGyLSFfABU91pAS4CZrofSap9FpHWwPk44/NgjCkyxuwhuY9zBtBCRDKAlsBWkuwYG2M+4NgRaqs6plcBzxnHIqCtiHRqnEhjLxUTVBdgU7npze68pCQiHqAP8ClwojFmKzhJDOgYv8hi4ingF0CZO90B2GOMiZSFSbZj3R3YAfzDvaw5VUSySdLjbIzZAvwR+AYnMe0FlpLcxziiqmOa1OezVExQUsm8pOxrLyKtgFeBu4wx++IdTyyJyDBguzFmafnZlXw0mY51BtAX+Ksxpg9wkCS5nFcZ977LVcCpQGcgG+cSV0XJdIxrktT/xlMxQW0GupWbrdIKFAAABtZJREFU7grkxymWmBGRTJzk9IIx5l/u7G2R5r/7e3u84ouB84DhIhLGuWx7EU6Lqq17OQiS71hvBjYbYz51p2fiJKxkPc6XAF8bY3YYY4qBfwHnktzHOKKqY5rU57NUTFCLgR5uz58snJuss+McU4Ny7708DdjGmCfKvTUbGO2+Hg3MauzYYsUY84AxpqsxxoNzTOcZY0YB84ER7seSbZ+/BTaJSE931sXAGpL3OH8D/EBEWrr/xiP7m7THuJyqjuls4Aa3N98PgL2RS4HJICUrSYjIFTh/XacDzxhjfh/nkBqUiAwGPgRW8v39mAdx7kO9DJyM85/9J8aYijdjmzwRGQL83BgzTES647So2gPLgZ8aYwrjGV9DEpFcnE4hWcAG4EacPzyT8jiLyCNAHk5P1eXAOJx7LklzjEXkJWAIcDywDfg18DqVHFM3UU/C6fVXANxojFkSj7hjISUTlFJKqcSXipf4lFJKNQGaoJRSSiUkTVBKKaUSkiYopZRSCUkTlFJKqYSkCUrFjIiUisgKt/L0GyLSNt4xVUdErhaRh93XvxERIyI55d6/253X351+K7JPInLA/e2JVKEWkf4iMjEO++F1v/flInJalMtEjtVqEflcRO4RkbQKn/mTiGwpP19ExojIJPf1eBG5sWH3RqUyTVAqlg4ZY3LdytO7gNtjtaFylQTq4xfAX8pNr8R56DdiBM6DoQAYY65wi7NWyhizxBgzoQHiqq2rgVnGmD7GmPVRLhM5VmcClwJX4Dx/A4CblP4Dp+7b+VWs4xmcauNKNQhNUKqxfEK5IpYicp+ILHbHsHnEnZctIkH3L/hVIpLnzu8nIgtFZKmIzC1X8mWBiDwqIguBh0QkHPnr3q02sElEMkXkNBGZ4y7/oYh4KwYnIqcDhcaY78rNfh230r37wO9enOKskWXCInJ8VTssIkPk+3Gp2ovI6+7+LhKRXu7834gz/s8CEdkgIhOq+y4qrD/XXdcXIvKaiLRzH0K/CxgnIvMrfP4UccYTOl5E0tzv4kcV12uM2Y4zdMN490FQgAuBVTjDOYysbH+NMQVAWEQGVvWdKFUbmqBUzIkzBtfFuCWl3JNiD5yhT3KBfiJyPs7T8PnGmN5uq2uOODUF/w8YYYzph/NXevnKH22NMRcYYx4BPgcucOdfCcx1a7ZNAe5wl/85R7eSIs4DllWYtw+nlNBZOCflGfX4Gh4BlhtjeuFU9Xiu3Hte4DKc7+PX7j4f811Uss7ngPvdda4Efm2MeQuYjDM+0oXlP2yM2YgzdtJk4F5gjTHmncqCNcZswDk/RKpmjwReAl4DhrkxVmYJ8MOqvwaloqcJSsVSCxFZAezEKUPzrjv/R+7Pcpyk4MVJWCuBS0TkMRH5oTFmL9ATOAt4113XL3EKYkbMqPA60tK4DpghTkX3c4FX3OX/BlQ2Xk4nyrWOypnurutqnJNzXQ0GngcwxswDOohIG/e9oDEm0nrbDpxI5d/FEe6ybY0xC91Zz1L1pbcjjDFTgeOAW3GSdXXE3VYWziW/192q+J/iHL/KbMepNK5UvTXEdXulqnLIGJPrnkzfxLkHNRHnxPc/xpi/VVxARPrhnAz/R0TewUkKq40x51SxjYPlXs92l2sP9APm4QzJsMcYk1tTrECbSua/AfwBWGKM2ff9Fa9aq25YhPJ140qBDGPMlxW/C2PMb+u68SNBiLTk+wTfCthfxee6u7Fsx2mNtgFWuvvfEqfuW7CSRZvjfJdK1Zu2oFTMuX/9TwB+7l4amguMdVs3iEgXEekoIp2BAmPMP3EGpusLrAVOEJFz3M9misiZVWznAPAZzjDobxpjSt2/+L8WkZ+4y4uI9K5kcRvIqTjTGHMIuJ+jLyvWxQfAKDeGIcB31Y3RVcV3UT6uvcBuEYlcTrseWEjNHgNeAB4G/l7Ftk/AuQw4yTjFOkcC44wxHrda/KnAj9xkV9HpOPeqlKo3bUGpRmGMWS4inwPXGWOeFxEL+MT9i/wA8FOcBPEHESkDioGfGWOKRGQEMNFtiWXgVKJfXcWmZgCv4FSDjhgF/FVEfglk4ly2+7zCch8A/ysiYipUUDbGTK/rfpfzG5yRb7/AaX2Mrv7jnE2F76KSz4wGJruJIlLJvEoicgEwADjPGFMqIj8WkRuNMf/g+8uxmTiVwp8HnnDXfRlwS2Q9xpiDIvJvnJZVRefh3G9Tqt60mrlSLhH5E/CGMea9eMfSFIlIH+AeY8z18Y5FJQe9xKfU9x7Fub+i6uZ44FfxDkIlD21BKaWUSkjaglJKKZWQNEEppZRKSJqglFJKJSRNUEoppRKSJiillFIJ6f8B8La7w/2uEeMAAAAASUVORK5CYII=\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x1a22c0bb70>"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"image/png": 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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x1a2266b2e8>"
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]
|
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},
|
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"metadata": {},
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"output_type": "display_data"
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}
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],
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"source": [
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"Kappa_List = [2,4,6,8]\n",
|
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"for kappa in Kappa_List:\n",
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" \n",
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" V0 = invariant(R0,S0,kappa)\n",
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" \n",
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" reserve = np.arange(0,100,.01)\n",
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" supp = np.array([supply(r,kappa, V0) for r in reserve])\n",
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" price = np.array([spot_price(r,kappa, V0) for r in reserve])\n",
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"\n",
|
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" fig, ax1 = plt.subplots()\n",
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|
"\n",
|
|
" color = 'tab:red'\n",
|
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" ax1.set_xlabel('Reserve (Millions of xDAI)')\n",
|
|
" ax1.set_ylabel('Supply (Millions of Tokens)', color=color)\n",
|
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" ax1.plot(reserve, supp,'--', color=color)\n",
|
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" ax1.tick_params(axis='y', labelcolor=color)\n",
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"\n",
|
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" ax2 = ax1.twinx() # instantiate a second axes that shares the same x-axis\n",
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"\n",
|
|
" color = 'tab:blue'\n",
|
|
" ax2.set_ylabel('Price in xDAI per Token', color=color) # we already handled the x-label with ax1\n",
|
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" ax2.plot(reserve, price,'-.', color=color)\n",
|
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" ax2.tick_params(axis='y', labelcolor=color)\n",
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"\n",
|
|
" ax1.vlines(R0,0,supp[-1], alpha=.5)\n",
|
|
" ax1.text(R0+.02*reserve[-1], supp[-1], \"Initial Value R=\"+str(int(100*R0)/100)+\" mil xDAI\")\n",
|
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" ax1.text(R0+.02*reserve[-1], .95*supp[-1], \"Initial Value S=\"+str(int(100*S0)/100)+\" mil Tokens\")\n",
|
|
" #ax1.hlines(S0,0,R0)\n",
|
|
"\n",
|
|
" ax2.text(R0+.02*reserve[-1], price[3], \"Initial Value p1=\"+str(int(1000*spot_price(R0,kappa,V0))/1000))\n",
|
|
"\n",
|
|
"\n",
|
|
" plt.title('Augmented Bonding Curve with Invariant S^'+str(kappa)+'/R')\n",
|
|
" fig.tight_layout() # otherwise the right y-label is slightly clipped\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#Power function independent variables for analysis\n",
|
|
"vec_d0 = np.arange(2.5,5.1,.1) #millon dai\n",
|
|
"vec_theta = np.arange(.1,.55,.05) #unitless\n",
|
|
"mat_R0 = np.outer(vec_d0.T, (1-vec_theta)) #million dai\n",
|
|
"vec_p0 = np.arange(.01,.11,.01) #dai per token\n",
|
|
"mat_S0 = np.outer(vec_d0.T, vec_p0) #milion tokens\n",
|
|
"vec_kappa = np.arange(2,9,1) #integer\n",
|
|
"\n",
|
|
"mat_return_ratio = np.outer(vec_kappa.T, (1-vec_theta))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5,1,'Hatch Return Rate: Rho')"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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XVExOQREHY5PZdSqR1o0CmT68aol2TSsoLOS3P1ZhMBi4/ppR1WqrpMTEr0stwwdsGatUa9WDZ6U5o2LUGziutT4JoJT6DrgWOJcYaa1PW/fV6VFe33y6gITYRF6Y8zTX3Tzu3PaYk7H8+r8lF3Wx1WbXPjmFxm2bsX/lTg6trVpi1H1sP7z8fNi/YgcZZ1LtHKH9tbl3DB6h57s7z6zcw7aHPrIpmXEP9gOg5S1XkBuTzJqJr5C68zje4cF0eXEqYcO60O+TB1lz/WyHxV9V/ndNw61tKxKnP4IuLKpyO5n/XUjeinUUR8ehC4twbdEMv+k34T1iMGGfvEnCpHswJdWu34Pi7SswnzyE+WwMujAfQ2AYrgNG49JnBJ63P0f+B09hPnO6wnbcrrwJQ5MW5P/rGSip+ntYk9Jz8gFYuOkgjQN9+fjuMXRq3pCE9GzmLNrExiNxPP7f5Xx+37gKWjrvv2v2kJqdf+77AW2b8vKkoZVKrpxp2Yq1ZGXnMLh/bxo1DKlWW+989AXHTp5mUL9eDOjTw04RCkdwxhijJkDpvog467ZKU0rdpZTarpTanpKXaJfg7OnW+6bwxqf/4NfvF3NNnxvp3/IKplw1g/iYBF751ws89Oy9zg7RJkNuG8UVd11D4vF4/vvIB1Vup/9kSzfa+m9q91Tlv/za5X4WNJrKok73smHGO/g0C2HE8lfw7xRR4bnKOr5AKcWmO98laf0BTHmFZB2NZ8OMd8iLTyW0f3sCe0Q6+Coqx61jG/xun0zWVwsp3Fu9Lq/0OR9TuOcg5owsdH4BRQePkvz4P8hdvhZjoD8Nbplop6jtp3j595hO7EPnZEJxEeazMRT++BHF6xah3Nxxu+qmCtswNI3Cdfj1FK9dhDn6SA1EbR8ma9e21vDWrVfRp3U4Xu6uRIYFMmf6SBr6ebPjxBn2nLb9b+2KF29h99t3s+LFacy57SriUrOYNOcHDsUlO+oy7GrBoqUA3HhtxYOuL+frBb/wn29/pEXzprz2/OP2CM156sEYI2ckRuXNUazSYBOt9Sda655a657BXtXv/7anHv268dBz97H2jw3MefED4mMSKMgv5PC+ozw24/84m5DEzfdMokmzxs4O9bIGT7uKiS9O58zRWN6d/BJ5mblVaicssgmterYhPSGFA6tq5zT9SylMySJhyXbWTn4dtwAfer93T4XnFFvfp5zoJDIPxpTZZy4oJnG1ZfBlYLfyZ8E4hdFAyD+fpDg6jvR5/3HYy2Qv/A0Aj+61e8xNacWblgFgbFHBxIO/utBSEiha+k0NRGY/DbzcAWgS5EubC8YAebi60L9NUwD2x1Q+qQny9WJ4pxZ8eNcYMnILePbbVdUP2MFOnIpm976DNAwNZlC/igddX8q3P/zKa3M/olVEM/79/mv4NfC1Y5TCEZzRlRYHNC31fTiQ4IQ4HGrQiP4AbNtw8cyrgvxCDuw+xPDRQ2jTKYr4mNp5+UNnjOaG528l4XAM7039BzmpWVVua8DUujvo+i95cSlkHY0noFMEboE+FKVdeqHH7BOWn2lxVvmJ5F+Jk7GcmT/OYvDyxDXC8k8zYtvico8JfuFRgl94lKz5P5L25odVeh1TumUigsGz9i3ydyk6xzp5ws398ge6eWAItRTAfV4rfx0vj4n3w8T7KVr3K0WLqjeGy54iQizdv76e5V+jr5fld7WwuKTKr9E40JeWDQM4kpBKek4+AbW4S+37XywLmV5XjUHXX/3vJ15/7xOiWkbw2XuvEhRQ+2Yii4s5IzHaBkQppVoA8cAkYIoT4nAoNzdXgEtOyf9re0lR1f/IONKV94xj/FNTiT1wig9unk1uetUHCbu4u9J7wmDLoOv/1f5PipfjGRYAgDZdvsybvPkw5uISfFqEoVyN6OKyAxYbtLUkIHmxtadLQRcVk/1j+atau7WLxL1dFAU791F8Oo6CPQfLPc4W7p3aAVAcX/u6vy/F2LwNADrt7OUPLCmheEv5K34bmrTEGN4K08mDmJPja103W/eWjXAxGIhJzqS4xITrBetsnUhMByzJTXUkZ+UBYKzFqz8XFhbx69IVGAwGrhs7skptfP7197zz4b9pG9WST+e+QoC/n52jdBJZ4NH+tNYlSqmZwDIs0/W/0FofUEq9DGzXWi9SSvUCfgICgGuUUi9prau+eI4DubgYCY9oQklxCXHR5ys/u7bsZdLtN3DdzeP44atfSE48v9Jv/+F96dKrEwX5hezZvs8ZYV/WqAeuY+xjNxGz9wQfTJt92e4zg4uRkOYNMRWbSIkp/6bRbXRfvP192Pdn7R907RvZiKLMPAovXGdFKTo+eQMeIX6kbD1Kcablj7tyMeITEYq52ERudNK5w4vScohdtJnm1w+k/aPXceD189WD0MEdCRvaiaLMXBJX1Z71THRhEakvl/9IBP97puHeLoqcX5eXeSSI8nDHJSwUc0EBpsTzSZ5b20iKT8ehC8qu3eMa1YKAmdMByP29do01MzRsijkrHfLLVgKVfwju4+8EoHjnmlInGFFBYWA2oVOtSV5JEYUL/1Vu+24jbsIY3oriHatq5SNBAnw8uaprSxbvPM7Hy3cw8+re5/ZtOhLHxiOx+Hi40d+a1BebTMSlZOFiNNA0+PxN/9TZdHw93QluUHaldLNZM2/pNtJy8ukS0fBc111ttGzVOrKycxgy4NKDrotLSoiNP4OL0Uiz8LJDIj769zd88NlXtG8TxadzZ0v3WR3jlHWMtNaLgcUXbHu+1P9vw9LF5hRDRw1i6CjLqqzBoZa+9k49OvLi3P8DICMtk7kvzwMgJCyEH9d9Q0LsGcb2Pj+Y9M/fVrF5zTb6DunFD2vns2rJWlKT0mgR1ZxBI/pjMBh4/5WPyEyveveUI/S5fjBjH7sJU4mJ49sOM3T6xYMOU+OS2bLQcoPwDwvkuRXvkBqXxAsDHyi3zQGTrwBgw7e172ZwobBhXej83GSSNx8mNzqJwvQcPIIbENKvHT4RDck/m872xz87d7xnWACj1r1Fbmwyi3uXneK954X5BHaLpP3D4wnp25a0XSfwCg+mydU90SYzO2Z9RrH103Nd5d6xDWGfvU3B9j0k3nF+Wn6DKRPwGj6Agm27KUlMRhcV49qiKZ79e6FcjGT/8Du5S2pX9dClc39ch12H6cR+dNpZy6y0oDCM7XqgXN0pObSd4jW/nDte+QXi/cQHmNOSyHv1bidGbj+zxvVnX0wSn/25i50nz9CxaSgJ6Tms2n8KozLw/I2DaWDtakvKzGPCG9/TKMCHJc+ef5TGhiOxzP11C91bhhEe3AB/Lw9Ss/PZcfIMcalZBPt68fzEIc66RJsstHajXW6l66TkVMZNuYvGYaH88cP5MXm/LF7OB599hdFooEeXDny94JeLzm0S1pDxY0bYP/CaIA+RrZ/adIhi3E2jy2xrGtGEphGWsQMJsWfOJUaXorXmwZtnceP06xh57ZUMu3owHp7uZGVks2HFJr79fCGb12xz2DVUVVBTywM0jS5Ght8+ptxjjm0+cC4xqkjDVk2I7N2uzgy6Prt2Pye/XkVwr9b4d2iOawMvTHmFZJ88w4G31nPs82UUZ9g2AL0wNYsVY56n/cPjaXJ1T4K6R1Kck8+ZP3dz+P1FpO2s3Ys8Vkfeqg0oby/colrg0asryt0NU0YW+Ru2kv3jEvLXbHJ2iBcpObEfFdIEY5MWqOZtLOOJ8nMxnTpEyc41lOxY7ewQHS7Q15OvH5rAp8t3snL/afZG78fb3ZVB7Zox44pudG7esMI2+kaFc13fTHafPsvRvafJLijE082VZiF+3N2jB1MGdcTPq/aOLztxOoadew9UedB13BlL5dxkMvPV9z+Xe0zPbp3qbmJUDyhbnpReF3RvNPDvcSFV1N+9Sise/C0MKazf+X2vhkkVH/Q3Fjyidj2MtKYZh9SuZ47VNJe+tfv5c47mGtyyRp9GW7h3WY3da907j3TKk3Zr7+g3IYQQQogaVr8/agshhBDCZlr//R8JIhUjIYQQQggrqRgJIYQQwjb1YFaaVIyEEEIIIaykYiSEEEII29SDla+lYiSEEEIIYSUVIyGEEELYRsYYCSGEEELUH1IxEkIIIYRtzLKOkRBCCCFEvSGJkRBCCCGElXSlCSGEEMI2MvhaCCGEEKL+kIqREEIIIWwjCzwKIYQQQtQfUjESQgghhG1kjJEQQgghRP0hFSMhhBBC2EbGGAkhhBBC1B9SMRJCCCGEbaRiJIQQQghRf/xtKkaF5mJnh+BUefz9H+x3KUvcTQwo8XB2GE6Tk+Xu7BCcKiApy9khOJXxbIKzQ3Aqc+IJZ4fgXMEta/TltP7732ukYiTqvPqcFAkhhLCvv03FSAghhBAOJmOMhBBCCCHqD6kYCSGEEMI2svK1EEIIIUT9IYmREEIIIYSVdKUJIYQQwjYy+FoIIYQQov6QipEQQgghbCODr4UQQggh6g+pGAkhhBDCNjLGSAghhBCi/pCKkRBCCCFsI2OMhBBCCCHqD6kYCSGEEMI2MsZICCGEEKL+kIqREEIIIWwjFSMhhBBCiPpDKkZCCCGEsI3MShNCCCGEqD+kYiSEEEII28gYIyGEEEKI+kMqRuW4auxwevbvRtsOrWnTIQofX29+XbiEp+5/0eY2xt80htnvPX/ZY0wmE50b969mtPbl7e9D95F96DK8O03aNCMgLJCSohLij8SwfsEq1i9YhdbaprbeWP8vgsNDy92XmZzOI73utGfodtPr/24iuHNLGrQMwyPQF1NBETlxKUQv28HBfy+nMCOnSu1GXj+AIe/eC8C6xz/j6Ler7Ri14/iPH0b4nMcAiH/qPdK//6PCc1waBtFgZD98h/bEPbIpLiGBmPPyKThwgrT5i8latsnRYVeJ71vzMYSElbvPnJFG9kMTbWrHpedgXNp2xtgsEmOzlihPb4o2/kn+x6/aM1yn2hmbyvwdJ9kTn05mQTF+Hq5EhvgytUdLBrVq6OzwqmXHweN8/dsq9hw5RWZOHn4+XkQ1b8zNY4YxqEcHm9pYu2M/839fzYnYRDJzcgn2b0D7Vs245ZphdGnT0sFXIKpDEqNy3P3IdNp2bE1uTi6JCUn4+LaodBuH9x9l3puflruvR9+u9B3Ui3Ura9/NodeY/twy+y4yzqZxaNMB0hKSaRDsT49RfZj+xn10GtqNf933ts3t5WXlsvyL3y/aXpBbYM+w7arDHVeTuv80CWv3k5+ahYuXO6HdIun+2PW0mTqMX695kdwzaZVq07tRIH1fvoWinHzcfDwdFLn9uTYKptGLd2PKycPo42XzeUG3jiXknokUxSSSu3kvJckZuDYJocHI/vgM7EbK5z+TOPszB0ZedTo3h8I/frh4e2G+zW14jJuKsXkkOj8Pc3oyRk9ve4bodJ9uPMq89UcI8HRjUKuGBPu4k5FXxOGkTLbHptbpxOiThUv54NvfCGjgw+AeHQgO8CMjK4fDp+LYduCYTYnRO1/9zL9//hN/X2+G9e5MgK8PMYnJrNq2lz8372b2A9MYO6R3DVyNA9SDwdeSGJXj9efnkpiQRMypWHr1786XP31Y6TYOHzjG4QPHyt03/3fLDWHhVz9XK05HSDyZwLu3v8relTvLVIZ+ePMbnvv5VXqO7kePUX3YsXSLTe3lZeXyy9zvHRWuQ3zV7k5MhcUXbe/xxES6PngtXWaOY+MzX1aqzUFz7qIwPYfTS7fT+Z4xdorU8Zq88TCm9Gwyl20k5K7rbT4vf89RTk56iryt+8tsd28VTssf3yb49vFk/LKKgv0n7B1ytem8HAp//m+12sj/5kN0ejLms/EY23bB5+k5dorO+f44nMC89Ufo0zyYOeN74e1e9jZSbKq7N84/Nu7kg29/o2/nNrzzxJ14e3qU2V9cYqqwjZT0LP6zaAVB/r4snPN/BPn5ntu3dd9R7njxPeZ993vdTYzqARljVI6tG3YQcyrWIW1Htm1J156dSExIYs3yDQ55jeo4vGk/e1bsuKi7LCs5g9XzlwPQpq9tpeS6qrykCODUr5ZksEGLyn0a7nD7SBoPaM+6xz6hJK+w2vHVlKDbxuHdrzNxT8xF51cu7qxlmy5KigAKT8SR+duXZTZtAAAgAElEQVQ6ALz7dLZLnLWR6fBuzGfjnR2G3Zm15t01h/BwNfLqNd0vSooAXI1187ZiNpt556tf8HB347WHb7soKQJwdTFW2E5Cchpms6ZTVESZpAigd6fWeHt6kJ5Vte74WsFsrrkvJ5GKUQ278ZYJAPz4zSLMdWx0v6mkBABzJT4Ruri50nf8IIIah1CYX0Dc4WiObDmErmPXDtBsRDcA0g7ZnjT7RTam59M3ceDzZSRuOUKjAXUjqXRvFU7DJ24l9ctF5G07gE//LnZrW1t/jzBV/OnbKVxdce1/JYbAUHRhAabYk5iO7K0XXQgV2ROfRnxmHle2aUQDD1fWnjjLiZRs3IwGOjbyp0uTQGeHWGW7j5wiPimVEf260cDHi7U79nM85gxuri50impu87ig5o1CcHVxYf+xaNKzcgho4HNu3/YDx8nNL2B477/vh4K/A4cmRkqpUcC7gBH4TGv92gX7BwNzgc7AJK31wlL7TMA+67cxWutxjoy1Jrh7uDP2+lGYTCZ+mP+Ls8OpFIPRQP/rhgCwb80um8/zDw3grrkPldmWHHOWzx+fx9EtB+0ao711vHs0rt4euPl6Ety5JWF92pB6MJq983616XxlNDDk3XvIiU9l++t1qDvRaCB8zmMUJyRz9s3qdSldyODjSYNRA9BmMznrdtq1bXsx+AfhdffTZbaZkxLI++xNS4JUj+0/kwFAkJc7k/+zlmPJ2WX29wgP5M3xPQn0cndGeNVy4Hg0AEF+vtw063WOxSSU2d+jfSRvz7qdwAuqQBfy8/Xm4WnX8taXPzL+oX8yvHdn/H29iU1MYfX2ffTr0pbn7pnssOtwuHrwAcFhiZFSygjMA0YAccA2pdQirXXpu2EMcBswq5wm8rXWXR0VnzOMGncFfv4NWL18PYkJSc4Op1JuePJmwts2Z8/KHRxYu8emc9YvWMXRrYdIOBZLQU4+Ic0aMvzWqxky+Uoe+fIZXrnu/4g9FO3gyKuu092j8Qr1P/d97Ko9rH3kYwrSsi9z1nndHplAUMcIfp/wMqaC8rvnaqPQBybj0b4lJ298El1YZNe2m7z6IK4hAaR+9RuFJ+Ls2rY9FK1fSsmRfZjjo9EFeRhCGuF25Xjcho7B+7FXyfnHA5hjTzo7TKdJz7P8PizcHU1jPy8+vqkvnRoFkJCVz5xVB9h4KpnHf9nB55Nr12xbW6RlWv5dL/hjPU1Cg/jkhQfoHBVBQnIab/3nRzbuPsSstz/ni5cfrrCtaWOH0SQkkOf/NZ8f/tx4bnuzsBDGDetzURebqF0c2RncGziutT6ptS4CvgOuLX2A1vq01nov8PdPQYGJ08YDsOC/Pzk5ksq58rbRjLprHAnH4/jskfdtPm/Ruws4vGk/WSmZFBUUEX80lq+e+YQ/PvsNd093rn34RgdGXX3fdp/J5+E3M7/rffx5x1x8m4UyfulsgjpGVHhucNeWdJk5jv2fLCZp53HHB2snnp1bE3LfjaR89jP5uw7bte2wZ+7Ab8wgcrfur7Uz0gp//grTod3orHQoKsQcf5qC/8ylaNlClLsHHhNudXaITmWyjj3UaN4a34M+zUPwcnMhMtiXOeN70dDXgx2xqeyJr9yszdrAZD5/bW8/fjt9O7fBy9OdyGaNmPvEnTQM8mf7gePsOVJxYvzFz8t57K3PuXZoHxbPe5Et38zhuzefJLxhEE/P/Q9z/lv7Jt7YrB6MMXJkYtQEKD0YI866zVYeSqntSqnNSqnx5R2glLrLesz29PzaXYFp1boF3Xp34Uz8WdaW+gRR2w2fNoopL84g/mgsb0x+kdzM6g8aXD3fsg5O697tq91WTShIySJ66XaWTXkNjwAfhsy9+7LHW7rQ7iXzZCI73lx42WNrFaOB8DmPUngqnqR3vrJr0w2fmk7w7ePJ3bKP6BkvootK7Nq+oxWttHSfGtvU77EhDTxcAWji502bUL8y+zxcjfSPsKxb9leXW13SwLqMRnhoMG0iwsvs83B3o3/XdgDsO3b5Kve2/UeZ+9UvDO3VicenX094WDCe7m60b9mUd568i9BAf/776wriElMccyGi2hw5xkiVs822lQEtmmmtE5RSLYGVSql9Wusyc3u11p8AnwB0aNinMm3XuIl1cND1iBljmPz8dOIOR/Pm1JfITs2yS7tZqZkAuNexcQg58alkHIsnqGME7gE+FKaXnyS6envg36oRANNPflnuMYPevINBb97B/s+WsuXFrx0VcqUYvDxxb2m5IXQ4XP4n2iavPUiT1x4k5d+/kPiP8tfpulDYs3cQPGM8ORv3EH3Hy+iCujMz7y/mLMuNXrldPFOpPokItAwk9vUo/9bha02cCm2Y1l7bRDS2zDb19S5/nbEG3pZ1vAqLLt8tvmaHZTZmr45RF+3zdHejU1RzVmzZw6FTsYSHBVcnZOeoI/ev6nBkYhQHNC31fTiQcIljL6K1TrD+96RSajXQDah9i57YwM3djXE3WAZd//jNImeHY5Or7xnPxKduJvrAKd6++WVy0m0bV2OLVt1bA5ZB2HWNV8MAgMvOqjMVFXPkEqtaB3WMILhTBIlbjpB58gxJO8pf68oZdFExaf9bVu4+zw6t8OwYSe62AxSejCNvp23dbI1euoegaWPJWbeT6Lv+afcxSzXFJdJS3TQnn3FyJM7VPTwQF4MiJj2XYpP5oqn5J1IsH54a+9m+GGht0aN9JC5GAzFnkikuLsHVtezt8Xis5WffOPTyM++Kiy3V0PRLVNfTrFP1XV1kUnht5cifzDYgSinVAogHJgFTbDlRKRUA5GmtC5VSwcAA4A2HRVoNLi5GmkaEU1JcQmx0+euWjLzmCvwC/Fj9x7o6Mej6mgduYMJjkzi99wRvT/vHZbvPjC5GQpo3xFRsKpPoNI4KJzMp46Jzg5oEc/NLdwCw6ad1jrmAavBr1YiirDzykzPL7lCKHo/fgGeIH2e3HaUoM8+y2cVIg+ahmEtMZEdbframgmLWP17+GJpuj15HcKcIji1cV+seCaILi0h4uvwxZKEPTcGzYyQZP6wo80gQ5eGOa+MQdEEhxQnJZc5p/MoDBE4aSfbq7cTcMxtdwSdtZzM0aY7OSEPnlv0QoIJC8Zj2AADFG/88v8NoxBDaGEwlmJPqR8IU4OXOVW0bs/hgPB9vPMrMQW3P7dt0OpmNp5LxcXehf4vyHwVUmwU08GHkgB78vnYbHy1YwgNTrjm3b9OeQ2zcfQhfL08GdLMkycUlJuISky33gLCQc8d2bxfJt0vWsvDPDdxw1UAaBp2fwLFu5wF2Hz6Ju5srXdtW/okKtYKNj4SqyxyWGGmtS5RSM4FlWKbrf6G1PqCUehnYrrVepJTqBfwEBADXKKVe0lp3ANoBHyulzFjGQb12wWw2hxp+9WCuGGWZmh4cGgRAl56dmP3ucwCkp2Xy1kvvARDaKJTfNnxPfEwCV/WaUG575wZd18KVri/U//ohTHhsEqYSE0e3HeLK6aMvOiYlLokNC1cD4B8WyCsr3iMlLoknBt537pheY/oz+t7xHN50gOTYsxTkFhDarCGdh3fHzcOdPSt3sPTT2lc9Cx/amd7PTiZxyxGyos9SmJ6DZ7AfYX3b0iCiIXlnM1j/xPmkxzssgBvWvEl2bDLf93vEiZE7h1eX1rT49lVyN+/j1JTzU9xDHpxM4KSRmPMLKDh4kpB7L37GWP7Bk2Qv31yT4V6Wa68huI+ZTMnh3ZbKUEE+htDGuHTpg3Jzp3j3ZgqXnF92QQUE4/val5iTE8meNbVMWy7dB+DafYDlOD9LldEY2R7PO54AQOdkUvDdxzV0ZfY1a1gH9iVk8NmmY+yMTaVjI38SsvJZdTQRo0Hx/Mgu58Yi1TWzbruOfUdP8+kPy9hx8Dgdo5pzJjmdlVv2YDQoXrh38rkutaS0DK596J80Dglk6Ucvn2tjRL+u9O3chs17j1im6/fpTLB/A07GJbJ2xwG01jw0dRz+vj6XCkM4mUNreVrrxcDiC7Y9X+r/t2HpYrvwvI1AJ0fGdjltO7Rm/KSxZbY1iwinmXVAXnxMwrnEqCItoyLo0bdrnRl0HdLU0s9udDFy1e1jyz3m8OYD5xKjSzm0aT9hLRvTrEMLWnVvjZunO/lZuRzbdphNP61l449r7B26XSSsP8Dh+ato2Ks1Ee2b4dbAi5K8QjJPJrJzzo8c+GIZRRm5zg6z1nMLt/weGTw9CLmv/NmH6Qv/rFWJUcmh3RgaNcXYLBKXVu3B3QOdl0PJ0f0Ub1xO8YblNrdlbNYKt0Ejy24LbYwxtDEA5uTEOpsYBXq78/W0gXy66Rgrj51hb0I63m4uDGoVyoy+UXRuHODsEKssyM+X+a/N4pOFS1mxdS97j53G28OdQT06cPt1V9GldcVVHoPBwLxn7uO7pWtZun4HK7fspaCwiAY+Xgzq3p4po4eeG8hdJ9WDMUbK1iel13a1ffC1o/XxbFrxQX9TA0rq94DYPm51bwaQPTUdZPvDXf+O3AZ3c3YITmXoM7Lig/7G3DuOKG+ik8Pkf/tCjd1rPSe/VKPX9hcZ/SWEEEII29SDilHdfNqfEEIIIYQDSMVICCGEELapB89Kk4qREEIIIYSVJEZCCCGEqJOUUv5KqYVKqcNKqUNKqX4X7FdKqfeUUseVUnuVUt0ralO60oQQQghhm9o3+PpdYKnW+gallBtw4bLrVwNR1q8+wIfW/16SVIyEEEIIUecopRoAg4HPAbTWRVrrC9cvuRb4r7bYDPgrpRpdrl1JjIQQQghhG61r7EspdZdSanupr7suiKYlkAz8Wym1Syn1mVLK+4JjmgCxpb6Ps267JEmMhBBCCFHraK0/0Vr3LPX1yQWHuADdgQ+11t2AXOCpC44pb5HIyy5SKWOMhBBCCGGb2jXGKA6I01pvsX6/kIsTozig9KMhwoGEyzUqFSMhhBBC1Dla60QgVinVxrrpCuDCB84vAm6xzk7rC2Rqrc9crl2pGAkhhBDCNrWrYgTwADDfOiPtJDBdKXUPgNb6IywPsh8NHAfygOkVNSiJkRBCCCHqJK31bqDnBZs/KrVfA/dXpk1JjIQQQghhG3kkiBBCCCFE/SEVIyGEEELYRJsvO9P9b0EqRkIIIYQQVlIxEkIIIYRtat+sNLuTipEQQgghhJVUjIQQQghhG5mVJoQQQghRf0hiJIQQQghhJV1pQgghhLBNPZiu/7dJjIrMJc4Owalydf29/ox6XvfMzPNwdghO1TAh29khOJXLmURnh+BcCcecHYFzdRzh7Aj+dv42iZEQQgghHEym6wshhBBC1B9SMRJCCCGEbaRiJIQQQghRf0jFSAghhBC20X//WWlSMRJCCCGEsJKKkRBCCCFsI2OMhBBCCCHqD6kYCSGEEMI29WDla6kYCSGEEEJYScVICCGEELbRMsZICCGEEKLekIqREEIIIWwjY4yEEEIIIeoPSYyEEEIIIaykK00IIYQQNtGywKMQQgghRP0hFSMhhBBC2EYGXwshhBBC1B9SMRJCCCGEbWSBRyGEEEKI+kMqRkIIIYSwTT0YYySJUTlGXXMFvfp3p13HNrTrEIWPrw+/LFjMrPueq1J7Pft25ba7p9CtVxf8/RuQkZHF0YPH+fKTb1jz5wY7R189Pv6+9B7Vh27DetKsbXMCwwIpKSoh5kg0qxesZPX3K9C6av8wBk0Yysy5DwPw8ZMfsPK7P+0Zut0MevomGnZuSWCLMDwCfSkpKCI7LoXjf+xg15fLKcjIqbAND38fokb1pMXwrgS3bYpPWADmohJSjsSy//u17P9+LVTxfayNQm4YTOsPHgTg+KMfcvabFU6OyH7cr7yKBk8+A0D2nDcoWPK7bScaDLgPHY7n2GsxNmmC8vLGlJJMyYH95C34DlP0accFXUWeM9/B4B9S7j5zTgb5c2dWqj1D0za49h6JIbw1ytMbnZ+LTo6leMtSTCf22CNkh9h5PJ75q3ex59QZMvMK8fNyJ7JxMFOHdmVQhxaVbu+3rYd49qs/AHh+8hVc17+jvUMWdiSJUTnue/R22nVsQ05OLmcTkvDx9alWW488fR9pKemsWr6OpLMpBAT6075TG/r071HrEqO+Y/pz5yv3knY2jYOb9pESn4xfiD+9R/bjnjdm0nVod965941KtxvUKJjpL91Jfk4+nj6eDojcfnrcfjVn958met1+8lKzcPV0p1H3SPo/ej2dpgzj22tfJPtM2mXbaD22NyNemUHO2XRiNx4kKyEV72A/Ikf1ZOSbd9JiWBd+vee9Groix3JrHETL2bdjysnHWMt/tpVlCAnB5/4HMeflYfDyqtS5vk8/h8fQ4ZiSkihcvw6dn4exRUvcR4zEfdgVZD7zBMW7dzko8qrTBbkUb1128faigkq14zrwWtyGTkTnZlFyfDc6JwPl6YMhLAJD83a1NjH6dOlW5v2+iQAfTwZ1iCC4gTcZuQUcjkti+7H4SidGienZvLZwNV7uruQVFjso6hpUD9YxksSoHLOfnUPimbNEn4yld/8ezP/lkyq1M2rclTzy9H1sWL2Z+297nNzcvDL7XVxq39t/5lQCr8+Yza6V28tUhr5942te+eVN+o7uT++r+7F1yaZKtXvvWw+QnZHN1qWbGHf3BHuHbVfvd7gTUzl/wAY8PpG+D1xL7/vHseLZLy/bRvrJRH6a8TYnV+wuUxla98b3TF30Eq1H9ybq6l4cW7LN3uHXuKi591Ocnk3a4i00ue9aZ4djV76znkJnZVG4fi1eN062+TyX1m3xGDqcklMnSX/gHigsPLfPfeTVNJj1FF5TbiGzViZGeRSv/bFabRjb9cZt6ERMJ/dRsPBduDCpMhir1b6j/LHrGPN+30SfNk2Zc8dYvD3cyuwvNpkq1Z7Wmhe+Xo6/tyfDu7Tivyt22jNc4SAy+LocWzZsJ/pkbLXaUErxxHMPkJebz6P3PHNRUgRQUlJSrddwhAMb97FzxbaLussykzNYPt/yKbJD38qVga+ePpYO/Tvx0az3KMwrrPgEJysvKQI4+tsWAAJaNKywjdiNBzn5566LusvykjPZ8/VKAJr2bVfNSJ2v0R2j8RvYkeMPz8NUB362leE54Xpcu3Yn+63X0AWVq5YYGzUCoGj3zjJJEUDRxvUAGPz97RNoraNwGz4JXVRAwc//ujgpAjBXLsGoCWaz5t1f1uPh5sKrt466KCkCcDVWLqH7Zs1uth6L5aWpI/B0c7VXqM5l1jX35SROKVkopUYB7wJG4DOt9WsX7H8UuAMoAZKBGVrr6BoPtBq69+5C04hwliz6k8yMbIaOGEjrtq0oLCxiz8797N6+z9khVprJmsiZSmz/o9YkMpwpT01jyRe/cWjrQTr07+yo8Byu5ZXdAEg+VL2k2Wx9/8yV/PRZ23hGNaH5M1M58+lisjYfwm9gJ2eHZDfGZs3xvv1u8n9aSPG+vbh27V6p80us44fcunYn180NiorO7XPr0x+Aop3b7RavXRldMXYcgMEvCF1UiDkpBnPMYZvHxBmaRmEICKXk4BbIz8UY2RVDSDi6pBhzwgnM8ccdfAFVs+dUAvGpWVzZNZIGXh6s3X+KE2dScXM10rF5GF1aNKpUeycT03hv0QamDOlKj8gmbD1avb8boubUeGKklDIC84ARQBywTSm1SGt9sNRhu4CeWus8pdS9wBvATTUda3V06toegJTkVH5eMZ+2HaLK7N+6cQcPzHiCtNQMZ4RXaQajgcHXDQNgzxrbysEGo4H733mYlPgUvn3ja0eG5xA97xqNq7cH7r6eNOzckvDebUg6GM3Wf/1a5TaV0UD76wcCcGr1XnuFWvOMBlp/8CBF8SlEv/qNs6OxL4MR3yf/D1PSWXK/+LRKTZhOnyJv4fd43XAjgV98RdGWTei8PIzNW+DWqzcFq1aQ++Xndg7cPgy+/niMv7fMNnN6EoW/fmJJkCo6v1FLAHRuJp53/BNDw2Zl9puiD1Hww3uQl22/oO1gf/RZAIJ8vZj8xjccS0gts79HZBPenDGaQN+Kx5qVmMw8+99lhAX48sA1AxwSr9PUg3WMnFEx6g0c11qfBFBKfQdcC5xLjLTWq0odvxm4uUYjtIOgkEAAJt96PXExCdxy3T3s2bmfxuGNePrlRxg8vD/vff46N4+/28mR2mbKU7fQrG1zdq7czp61u2065/qHbqJFhxY8f8P/UVxYVPEJtUzPu0bjHXq+u+PUqj0sfexj8tOq/gd98FM3EdK2KSdX7CZ6bd2rGv6l2WMT8e4Ywb5xz2EuqHs/28vxmnYrLq2iyHjkgTKVnsrK/XgeprgYfO6Ziee48+Pqio8epuCPpVDJ7rmaULJnLabYI5iT46CwABUQimvPEbh0H4bH5Mcp+PdLmJNiLtuG8m4AgEuPK9AZyeR//Srm+OMov2DcRkzFpVVnPK5/kIKvZtfEJdksPScfgIUb9tE4qAEfz5xAp4gwEtKymfPTOjYeiubxLxbz+UM3VNjWJ0u3cDgumX8/MhEPt9o3llRcnjPGGDUBStcU46zbLuV2YEl5O5RSdymltiultmcWpNgxxOozGixvrVKKB2Y8waZ128jLzef4kZPcd+sszsQn0mdAT7r2rP3dD6NuG8M1d40n/ngsHzw816ZzWnWJYsL9N/Dbp4s4tvOIgyN0jI96zuTtZjfzYff7+OXOufg1C2XaktmEdoyoUnvdpl9Fz7vHkHosniUPf2jfYGuQT7dIwh+8jviPfiV7x1Fnh2NXLm3a4jV5KvkLv6fk0IFqteV934P4PPAwuV//h9TJN5B8zSjSH54JGvxffROPcePtFLX9FK/7CfPpg5CbBSVF6OQ4ipb8m5LNS1Cu7rgOvq7iRtRftxVF4cL3MJ8+AMWF6JR4Che8gzkrFWPzdhiaRDr0WirLZB3TojW8NWMMfdo0w8vdjchGQcy5YywN/X3YcTyePafOXLadfacT+fyPbUwb3r3S3W91Qj0YY+SMxEiVs63cd0ApdTPQE3izvP1a60+01j211j39PILtGGL1ZWZaqgqx0fEcPnCszL7CgkLWrdoMQJfutXs9i6tuuZrpL91J7NEYXpr0HLmZFa/hYzAamPnOw5w5lcD/3p5fA1E6Vl5KFseXbWfhza/h4e/D1e9UvsrX9ZYrGf7SLaQcjeP7Sa9QkJnrgEhrgNFA6/cfIP9kAjGvf+fsaOzLYMT3yWcwxcWR+5/qdXO5XzUKrwnXk//Tj+T/7xvMKclQkE/JgX1kPvc0uqAA79vvBo+6sbxB8U7LhAFjszYVH1xg+d3WGUkXV5dKijGdsFRKDY1b2TXG6mrg5Q5Ak+AGtAkvu5aTh5sL/ds1B2B/dOIl2ygxmXn2q2U0Dw3g/jF9HRescChn1PjigKalvg8HEi48SCl1JfAMMERrXeemu5w6fhqArMzyu12yMrIAcPdwr6mQKm30jGu49YXbiTkczT+mPE9WaqZN53l4e9K4laUIOP/YwnKPufv1mdz9+kwWf/4r/3m5do61uFB2fCppx+IJ7RiBZ4AP+ekVJ4kA3W8fybAXppF8OJYFk18lPzXLwZE6jtHbA89Iy8+2f0z5iVHknHuJnHMvCZ/8xqnnv6zB6KpHeXri0tQyHiZkcfmLj/o++gS+jz5B3o8LyP3wg0u25d6nHwDFey6ejq/T0yiJjcE1qjUuTZtScqz2V910rvV31q3iv1fmVEtFRRdcPBPXst2SOCnXi2d9OVNEaAAAvp7lX6OvNXEqLLr0bOK8wmKikyzjRns/Oq/cY17+dgUvf7uCKUO78sT1Q6oTsnAQZyRG24AopVQLIB6YBEwpfYBSqhvwMTBKa51U8yFW37ZNuyguLiGiZTNcXV0oLi77jymqneXTUnzMRTlhrTDunglMffpWTh04yeypL5Cdbvu4muLCYlZ+t7zcfS06tqRFx1Yc2nqQMyfjObqz4sGctYl3Q8sfT7ONi5z1uncsg5+eRNL+0yyc+prNyVRtpYtKODu//KTBu1NLfDq3JHPzIQpOxNe5bjZdXET+kt/K3ecS2RrXqNYU79tLSVwMJQcr6Gaz3vQNfuVPyf9ruy6ufUt2lMcYbun20unJFR5rijmMNpVgCGxoWa/ogqn5hpBwAMwZFbdVk7pHNsHFYCAmOYPiEhOuLmWn5p+wDsZuHNTgkm24uRiZ0K9DufsOxSZxOC6Zbi0bE9EwgC4RdbObTcsCj/antS5RSs0ElmGZrv+F1vqAUuplYLvWehGWrjMfYIFSCiBGaz2upmO1hYuLC80iwikpKSHmdNy57elpGSz++Q+unTiambPu5J1Xz48pGTCkD4OG9SMrM5u1Kzc6I+zLuu7BG7npsSmc2Huc2Te/eNnuM6OLkYbNwzAVmzgbYykxFxcW8fGT5X9auuHhSbTo2Iq1P6yslY8ECWzViIKsPPKSL6iOKcWAWTfgHeJH/PajFGZaPg0bXIz4Nw/FVGIiM7psDt/3wfEMmHUDiXtP8sPU1+tu91kp5oIijj/2Ubn7ms66EZ/OLUn+fnXdfCRIURE5c8rttcdr2m24RrWmYPnSso8EcXfHGNoQXVCAOfn8z794/17c+/XH8/qJFK5bg847/7P3GDsOY2goptRUTDGnHXU1laaCm6BzMs51hZ3b7heE26hbASjZX2qlfoMRFRAKZhM6vdTvfn4OpoNbcOk0ANfBEyhefb5qbGjREWOrTuiCXEwnateszAAfT67qHsXi7Uf4eOkWZo7tf27fpsPRbDwcjY+nG/3bRQCWxR7jkjNxMRpoGmJJdD3cXHhhypXltv/h4s0cjkvmmj7t5JEgtZxThstrrRcDiy/Y9nyp/y//N6uGXHn1UEaMHgpAcGgQAN16dub1918EIC01g9dftAxCbtgohGWbfiAuJoFhPa4p084rz8+hS4+O3PfoHfTq1509Ow/QpGkjRoweislk5plH/6kjXPcAACAASURBVEl2Vu2qIAy+fhg3PTYFU4mJw1sPcvX0sRcdkxyXxJqFljEHgWFBvLNyHkmxSTww8K6aDtfuIoZ2ZvD/TSZu6xEyo8+Sn56Dd7Af4X3b4t+8ITlJGfzx5GfnjvcJC2D6qjfJjE3mswGPnNve/oZBDJh1A+YSE/Fbj9BtxsiLXisrNpkDC9fVyHUJx3Bt0w7/t9+laM8uMmc9fG57/qKf8Rh+JS6tIgn88msKN21E52TjEtUat2490KYScj54p1Y9XsGlfR9c+4/FdPoQOiMZXZSPIaAhxsiuKFc3So7tpnjT+aRQ+Qbgde+bmDOSyf/gkTJtFS6fj6FJK9wGjsfYrC3m+BMov2CMbXuC2Uzh759DYfldbc4067rB7ItO5LNl29h5PJ6OzcNISMti1d4TGJWB5ydfeW4sUlJGLhNmf0WjQF+WvDTDyZHXIHmIbP3UrmNrrptUNslp1iKcZi0sJeC4mIRzidHlpKWkc8PIW7nv0f9n777DmyrbB45/n6R7UNrSll2gZe+9EVCULQjKEAeoiAu3gvMV9efGvffreN1bXCAKykaBArKhpYPunTZtkuf3RwpSWtq0TZqU3p/rykXznHOe3KecpHeeda5g3MQx9O7fk8KCQn775Q9effZttm3d6ZL46yKyjX1VZ6OXkUlXVt5It2v9zhOJ0Zkmfu0u4j5cTcsBnYjs2hbfJgGUmsxkHz7Gui++4O+3fnKo5SekjX3wpsHLSP8rJ1S6z9H1/0hidKYqLiL7pusJmHkRviNG4jfmbPD2xpabQ/Hvqyn69CMsez2rG9l6ZDeG8BYYoqJRrWPB2xeKTdiO7sUS9yeWuD8cr8yUR9Fb99sToy798WoVC+YirPu3UbruG2xJB113InUQFhzA+7fO5vWfNvHr9oPsOLKNQF8fRnZvz4JxA+h1Js4yExWo2t4p3dN0jOh/ZpxILfULaFP9TmeoQbr2N/k9Ewyp4c09zzSdenrWWJX6FnBW433vAxgGDat+pzOY/7nXVjbT22UKbp9eb39rg574sl7P7Ti5V5oQQgghRBnpShNCCCGEYxrBLUGkxUgIIYQQooy0GAkhhBDCMY1gVpq0GAkhhBBClJEWIyGEEEI4REuLkRBCCCFE4yEtRkIIIYRwjLQYCSGEEEI0HtJiJIQQQgjHeND9/VxFWoyEEEIIIcpIYiSEEEIIUUa60oQQQgjhGBl8LYQQQgjReEiLkRBCCCEcIy1GQgghhBCNh7QYCSGEEMIhWkuLkRBCCCFEoyEtRkIIIYRwjIwxEkIIIYRoPKTFSAghhBCOkRYjIYQQQojG44xpMSqxlbo7BLcyaYu7Q3CbfHXmf4OpSo72dncIblWY7uPuENzKLznT3SG4lSElwd0hNCpaWoyEEEIIIRqPM6bFSAghhBAuJi1GQgghhBCNh7QYCSGEEMIxNncH4HrSYiSEEEIIUUYSIyGEEEKIMtKVJoQQQgiHyHR9IYQQQohGRFqMhBBCCOEYaTESQgghhGg8pMVICCGEEI6R6fpCCCGEEI2HtBgJIYQQwiEyK00IIYQQohGRFiMhhBBCOEbGGAkhhBBCNB7SYiSEEEIIh8gYIyGEEEKIRkRajIQQQgjhGBljJIQQQgjReEiLkRBCCCEcohtBi5FDiZFSKhToCPgdL9Nar3FVUEIIIYQQ7lBtYqSUuhK4EWgNbAOGAOuBsa4NzX0mThnH4OH96dajC117dCI4OIgvP/2OmxbdVaN6/vj7B9q0bVXptrTUDAZ287xfYXDTYIaOH8qAsQOJ7hJNePNwLCUW4vceYeUnK1n5yUq0rn5WgrPq8VTnLJlNy17tCW/fgoCwYCzFJeQkZbDnp61sevdninIK3B1irXS5Zw4hfToQ2KEFPmHBWItLKErMIPWHLRx56ydKsx0/r8hz+tLuqvEEdWqFT2gw5rRscrcf5tCrK8jZst+FZ+FcgZPOIeLhOwHIeGA5BV/+4NBx7bb9ctpt5h3/kHLpYqfE50yBD76DITyq0m223CwKl17sQCXBePcehrHHIIwt26GahoPVgjXpCJYNP1O6/hdowO/94/5KyOCDzQfZnphJbnEpIX7exEaGcPHAGEbGNnd3eKIOHGkxuhEYCGzQWo9RSnUBHnBtWO51/a1X0b1nFwoKCjmWnEpwcFCt68rNzeOtVz6oUG4qNNUlRJcZPnkE1/3fdWSmZhK3Lo705HSaNmvK0PFDWfzEjfQfM4BHFz1Sb/V4qqFXTCBl5xEO/RFHYUYe3gG+tO4by5hbZtB/7hjemHY/eSlZ7g6zxtpfPZHcuMNkrInDnJGLV4AfTfvF0umOmbS9ZCx/TryX4uTqz6vLPXOIuWEqJZn5HPtxMyVZ+QS2a07U+AE0nzyI7de/TNLnf9TDGdWNMSqC8CXXYSs0YQgMqPHxluRjFHzzc8Xy1AxnhOcS2lRAyeqvKpabix063rvfSPzm3IAtJxPrvh3YstMwBIfi1WcYXvNuxthtIMVvPOzssOvV63/s4cU1/xDq78PIjs1pFuRHjqmEPak5bEnIOLMTI+lKA6BYa12slEIp5au13qOU6uzyyNzowXueICU5lSOHEhgyfAAff/NWrevKy83nmcdfdmJ0rpV8KIllC5axZdXmci06/338XZZ/s5zhE4czbMIw1v2wrl7q8VSP9LgSi7m0QvnY2y9k1PXTGHndVL6/5536D6yOfopdgK2S8+q89CJib5pO7OJp7FxS9fvBNyKEDtdOpjgth7Vj7qQkI+/EtvDh3Rjyxb10unNmg0iMmj1wG9acPEy//kHIZRfV+HhLcio5r7zngshcRxcVUvJ9xS9zjrKlJmF6+T9Yd24q1zKkvnmHgDuewbvfCCx9hmPZ9qczwq13P/+TxItr/mFwuwiWzxhMoK93ue2l1kaQOZzhHJmVlqiUagp8BfyilPoaSHZtWO61/o/NHDmU4O4w3GLHuh1sXrmpQjdXTnoOP7xv70LoMaRnvdXjqSpLigB2fbcRgLB2DfMbY2VJEUDy1xsACOhQ/Xn5t2mGMhrI+etAuaQIIPPP3ZTmm/AJb1L3YF0seO50/Ab1IeP+J9FFjrWWCLDu2441bmOF7jKdl03p2hUAGDv1ckdodWbTmmdX78TP28gj5w+skBQBeBvP7Mne2lZ/D3eptsVIaz297Mf/KKVWAyGAY53sAl8fH6ZfOImWrVtgKixiz+59bFy3FZut4X2rsFisANisVo+oxxN1PqcfAKl7jro5EueKOq8/APm7q//CUHjoGFZzKU37xuAdFkxpVv6JbWFDuuAdHMCxFZtdFqszeLdvS+jiK8j78EvMf8XhP6hPreoxBAcRdP55GJuFYSsopGT3fsxx/zg5Wifz8sZr0BgMoZHokmJsSYex7t/plL9U2mqx/9BA3/vbEzNJyjFxTpeWNPH3Zs2BYxxMz8PHaKBHy1B6tw53d4jCCRwZfP2e1voSAK3178fLgEscOHY88CxgBN7QWj96yvZbgCsBC5AOLNBax5dtswJxZbsmaK2nOnpSniSyeQTPvFJ+LE3CkURuu+FeNq7b6qaoas5gNDB2hn2w+Nbf/nJ7PZ5i2MKJ+AT44RscQMte7Yke1IVju+P546Vv3B1anXS4ZhLGQD+8mgTQtHcHwoZ0IW9XPAef/7raY0tzCtnz0P/o9sA8zlr7BKk/bKEku4CA6CiizutH+m87iLv9jXo4i1oyGmj20J1Yj6WR83ztu9EBfDrH0OyB28qVlew9SPrdj1J64Eid6nYVQ0gY/pffUa7MlpFC8XtPY90fd5qjHKnYgPfgswGw7N5SlxDdZmdKDgDhgX7MeXM1+9PLt4j2bxPOExcMJizQ1x3h1Y+G952+xhwZY9T95CdKKSPQv7qDyvZ7ERgHJAKblVLfaK13n7Tb38AArbVJKXUN8Dgwq2xbkda6dl/TPMSnH37N5g1/sW/PAQoKTLSNbs1lV85m7mUzeffjl5g+/hL+2bXP3WE65PIll9OuSzs2r9rM32tqn9A4qx5PMeyqSQRFNj3xfP9v2/nq1lcwndRK0hC1v3YyfiedV9qqbWy/8RVKMh07ryOv/UDR0XR6PX01bS85+0R54aEUEj/+vUIXmydpuvASfLrEcGz+zWhzSa3ryf3vZ5hWraU0PhFtLsG7fVtC5s8icNwomr/2BMmzF2FNy3Ri5HVXuv5nrAd2YUuJRxcXYWjWHO/RU/AePgH/65ZheuIWbEmHa1W377QFGFu1x7JzE9Z/GuZ7P7vQDMBnfx2mZdMAXp0znJ6twkjONbF8VRzrDqVx+5ebeHPeSDdHKuritJ2hSqmlSql8oJdSKk8plV/2PA2o/msjDAIOaK0Paa1LgI+A80/eQWu9Wmt9fHrWBuxLApwxnn3iFdat3URGehbFRcXs23OAu297iDdeeg//AH9uuvMad4fokCnzpzD96gs4uv8oy296yu31eJInB17Hf6Iv5on+1/DRwqcJbRPBohX/R4se7dwdWp2s6nkN30fN4Zcei9hy+VMEREcycuUjNOnZzqHjO1w3hX5v3ETix7/z66Ab+aHdZaw9Zymm+DT6vnwDXe6d69oTqCWfHp0JuWIOee99hnlH3bq8spe/inn7bmw5eeiiYkp27yP99gcp/GUNxrCmNLn0QidF7TwlKz7Eum87Oj8HSs3YUuIx/+8FSn/9EuXjh8+kebWq13v0VHzOmYH1WAJF7zzh5Kjrj7Vs3JRG8+QFgxncPpIAHy9iI5qwfMYQooL92ZqQwfZEz0p4nakxjDE6bWKktX5Eax0MPKG1bqK1Di57hGutlzpQdyvg5IEWiWVlp3MF5ccu+SmltiilNiilplV2gFJqYdk+WwqKG87U6Pff+QSAwUOrbXhzu4mXTmLhA1eTsC+eu2YvpSC3duvzOKseT1WYkceen7bw3iWP4d80iOnLF7k7JKcoSc8l9YctbJr1CN6hQfR54dpqjwkb1pWu980l7aet/HP/+xTFp2ErKiEv7ghb5i+nKDmTDtdMwj86sh7OoAaMBiIeupPS+ESyX3zXZS+T/9l3APj1aziTD0rWfg+AV2yPGh/rPWoyfhddgzU5nqJnloCp4b73m/jZB1u3ahpI56iQctv8vI0M62C/pncmZ9d7bMJ5HOlKu1spNQ9or7V+UCnVBmihtd5UzXGqkrJKV/Uqq38AcNZJxW211slKqQ7Ar0qpOK31wXKVaf0a8BpAdHivBrNiWGaGPYnzD/B3cyRVm3rFVK66fyFH9hzhnjl3k5uZ69Z6GoLcpAzSDyTRons7AkKDMNVgQURPVpSYQcG+JEJ6tqswoPpUUePsA9Az/9xdYZutqITcvw/iP2kQIT3aURSf5rKYa8oQ4I93uzYAtNu8otJ9mt1/C83uv4W8D74g64naLcNhzbZf/wZ/v2r29Bw6v+w961uzmL3HTMPvwquxJh2m6Nml6IKG/d5vF2Zf0y7Yr+JstJPLzZaGObjcEXJLELsXsQ+3Ggs8CBSUlQ2s5rhEoM1Jz1tTyTR/pdQ5wN3AWVpr8/FyrXVy2b+HlFK/AX2Bg6ce3xD1G9AbgKPxiW6O5PRmXDODy5fO5+DOg9x38b3kZdduTIiz6mlIgiNDAbCdYeuZ+DW3n5eu5rwMZVOYfcKDK91+fKq+rdTixOjqTpeUkv9F5RNufbrG4tu1I8V/xVF6JJHi7RWTPkf59uwKQGnSsVrXUd+M7bsAYMtwPGafcRfiO30B1qMHKXruLnRhw3/v92vbDC+DIiGrkFKrrcLU/IPp9i8MLUMC3RGecBJHEqPBWut+Sqm/AbTW2UopHweO2wx0VEq1B5KA2UC5gQVKqb7Aq8B4rXXaSeWhgElrbVZKNQOGYx+Y7XG8vLyIbt+a0lILCUf+TXQ6do4hLTWd3JzyHwatWrdg2WP2nsgvP/2+XmN11KzFs5l32zz279jPfRffW2W3l9HLSIvoFlgsFo7Fl//QrEk9DUmzmBYU55koSC//7VcpxZjbZhIUEULCln0U53nm6uanExjbEktuIeZTzgul6LzkQnwjQsjatBdLbqG92MtIQLsodKkF00ktP1kb9tDuivNoc8nZxP93FeZj/3YrRIztTeigTliLSsje7FkTD7S5hMxlyyvd1nTRJfh27UjBt7+UuyWI8vPFq3kktuJirMfST5T7dIml9Egiurj8+kfeHdsTev18AAq/X+mCs6g9Q4u22HKzKnR1qbBI/GbZu1Atm3496QAjhogWaKsVnZFS7hifCXPwnXIp1vh9mJ6/u0F3n50sNMCXc7u2ZsWuo7y6dg/Xj+52Ytv6w2msO5RKkK83w2I8rJvYiaTFyK60bIaZBlBKReDAhD2ttUUpdT3wE/bp+m9prXcppZYBW7TW3wBPAEHAp0op+HdaflfgVaWUDfs4qEdPmc3mUudOHMO5E+1TyiMimwH2Vp4nX3gQgOzMHB6+3z54uHmLSH7d8A1HE5IY0XfCiTomnX8u19y4gA1/bOZoQhIFBYVEt2vD2HEj8fP349ef1/DaC+/U1yk5bOzMscy7bR5Wi5Xdm3YxZUHFVRLSjqay6rNVAIQ3D+fl1a+QejSVK4dfUet6GpLYs3oz7q45xG/aQ3Z8GqbsAoIimhA9uCth0VHkp2Xz7RIPno5+GhFje9P1vrlkbdiD6UgqJdkF+EaEEDa0K4HtoihOzSbu1tdP7O/XIpTRfz6FKSGd1QP/ve9XyrcbSf89joizenLWH0+SumIL5rQcgjq1InJcX5TBwJ6H/1ej+655Kt8enWn+xlMUb9nOsSv/nZbfZO50AsYOp3jzNizH0tElpXi3b4P/sIEoLyP5n39P4Q+r3Rh5RV79RuJz7kVY923HlplaNiutBV49BqJ8fLHs3ETJys9P7K+ahhN4/+vYMlMpvPfyf+sZfA6+Uy5FW61YD+zCZ8z5FV7LlpmKZYNnJYaOuu2cnsQlZ/HGur38dTSDHi1DSc41sXpvCkaD4r6JfWni50jbgfBUjiRGzwFfApFKqYeBmcA9jlSutV4BrDil7L6Tfj7nNMetA9w2MrFbjy5cOKf8mzm6fRui29t7Bo8mJJ1IjE5n/R+b6BDbju69utB3YC8CAvzJy81n88a/+eKT7/ji429dFn9dRLWxr2xs9DJy/pWVjnknbn1ctQmNs+rxRIf+2MnW/62mbf9ONO8ajV+TAEpMZjIPp/DbF3+w8e2fKCprVWlIMtbEkfDer4QO6kTzbtF4hQRgNZkpPJjCvk/XcuSNHynNceC8tGbz3MeIXnAuLacNJWriAIz+vpTmFJC2ahtHXv+RjN/rsB5OA2Ba/ScqMACfju3xG9gH5euDNSePoj83kf/FDxT9vt7dIVZg3bcDS2RrDG1i8G7fFXz90KZCrAd3UbrpVywbHXuvGprZb0KrjEZ8zp5e6T6WfTsabGIUFujL+5eP5vU/9/Dr3hR2JGUR6OvFyNgoFgzrTK9WYe4O0bV0ZcOHzyzKkTucl9049mzsA6pXaa09bunWhjT42hV6BbZ1dwhu01+FVL/TGWxgcSNo265C9xaee0PW+hA+zJHvt2cur8G93R2CW/lf9mi9Ziqpo0fX29/aqN9+c0sW5ug7aj+Qd3x/pVRbrXXjvJmYEEII0UjJGCNAKXUDcD+QClixtxppoGHeBVAIIYQQ4jQcaTG6EeistT5zl/IUQgghhMCxxOgo0LBX5RJCCCFEnWnbmT/4+rSJkbLf+R7gEPCbUup74OQFGCtf8EMIIYQQooGqqsXo+LK1CWUPn7KHEEIIIRqhxj742ldrfVe9RSKEEEII4WaGKraNr7cohBBCCOHxtFb19nCXqlqMjGX3LKs0Oq11lmtCEkIIIYRwj6oSoy7AVipPjDTQwSURCSGEEMIjNfYxRru11n3rLRIhhBBCCDdr3DfZEUIIIYTDGsM6RlUNvn623qIQQgghhPAAp20x0lq/U49xCCGEEMLDae3uCFyvqhYjIYQQQohGRRIjIYQQQjhE21S9PRyhlDIqpf5WSn1XybbLlVLpSqltZY8rHanTocRIKTW5qudCCCGEEG5wI/BPFds/1lr3KXu84UiFjrYYDazmuRBCCCHOcJ7UYqSUag1MAhxKeBzlUGKktb6/qudCCCGEEM6klFqolNpy0mPhKbs8A9wBVLXs5Ayl1A6l1GdKqTaOvK5D6xgppYYB7U7eX2v9X0eOFUIIIYSoKa31a8BrlW0rG9KTprXeqpQafZoqvgX+p7U2K6UWAe8CY6t73WoTI6XUe0AMsA2wHo8XkMRICCGEaEQ8aLr+cGCqUmoi4Ac0UUq9r7Wed3wHrXXmSfu/DjzmSMWOtBgNALpp7UG/DiGEEEI0WlrrpcBSgLIWo9tOTorKyltorVPKnk6l6kHaJziSGO0EmgMp1e3oTiVWi7tDcKsiXeruENzmD51BL2Oou8Nwm2xj476zT16On7tDcKsmSXnuDsGtDEcT3R1Co+LptwRRSi0DtmitvwEWK6WmAhYgC7jckToc+URtBuxWSm0CzMcLtdZTaxyxEC7QmJMiIYRo7LTWvwG/lf1830nlJ1qVasKRxOg/Na1UCCGEEGcerT27xcgZqk2MtNa/K6Wi+Hftok1a6zTXhiWEEEIIUf+qXcdIKXURsAm4ELgI2KiUmunqwIQQQgjhWbSt/h7u4khX2t3AwOOtREqpCGAl8JkrAxNCCCGEqG+OJEaGU7rOMpGbzwohhBCNjk3GGAHwo1LqJ+B/Zc9nAStcF5IQQgghhHs4Mvj6dqXUDOyrTCrgNa31ly6PTAghhBAeRWalldFafw587uJYhBBCCCHc6rSJkVLqD631CKVUPvZ7o53YBGitdROXRyeEEEIIj+HpK187w2kTI631iLJ/g+svHCGEEEII93FkHaP3HCkTQgghxJlN6/p7uIsj0+67n/xEKeUF9HdNOEIIIYQQ7nPaxEgptbRsfFEvpVRe2SMfSAW+rrcIhRBCCCHqSVVjjB4BHlFKPVJ2h1ohhBBCNGKNYfC1I11pm5RSIcefKKWaKqWmuTAmIYQQQgi3cCQxul9rnXv8idY6B7jfdSEJIYQQwhPZtKq3h7s4khhVto9DC0MKIYQQQjQkjiQ4W5RSy4EXsS/0eAOw1aVRCSGEEMLjNIZbgjjSYnQDUAJ8DHwKFAPXuTIoIYQQQgh3cOQmsoXAknqIRQghhBAezJ0LL9aXahMjpVQEcAf2hR79jpdrrce6MC4hhBBCiHrnyBijD7B3o00GFgGXAemuDMrdJk09l6EjBtKjRxe69ehMcJMgPv/4W66/+s461Ttz1hSef/UxAG694V4+fO9zZ4TrVE2aBjN8/HAGnz2I9l3a06x5OJYSC4f3HObHT37mp09+Rjv4lWHkxBH0HtKLmO4xdOjansDgQFZ+sYpHb3zcxWdRewFNg+h53kC6je1Li85tCWkehqXEQsreBDZ/+jubPv3N4fMH6DqmL6PmTyCqYysCQ4PJS8vmaNxhfn/ze+L/2u/CM6mdvnfPIqxXB5rENMc3NBhrcQmFSRkc/XEre9/+hZLsAofqmbbxaYLaRFS6rSgth8/7XO/MsF2q6fQxtH36FgAS73yerI9/rvYYr6gwQsYPI3jMAPxiW+MVEYbNVETRzoNkvv8DeT+td3XYTuEz+lyCbr4bgMIXHsf8y/eOHWg04jd5Bj6jz8XYqg3YbFjiD2Fe8RUlv//iwojrxv/6pzE0rfy6tRXkUPRMza5bQ5vOeA86D0PrTij/QHRRITr9KKUbf8R6cLszQq537pwtVl8cSYzCtdZvKqVu1Fr/DvyulPrd1YG50023L6JHzy4U5BeSknyM4CZBda6zZavmPPT43RTkFxIUHOiEKF1j1ORR3PTIYjJSM9m+bjtpSWmERoQyYvxwbnvyFgaNGciyRQ85VNfFi+cS2z0GU4GJ9JQMAj34vI/rPWkIFz58JbmpWRxYv5uc5AyCmoXQa/wgZj1+NV1G9+Hda592qK7JS+YydtFUCrLy2PnzFgqz82kW3Zwe4wbQa8Ig/nfLS2z96g8Xn1HNdLlqAllxR0hZs5PijDy8AnyJ6BdL79tm0PHiMfw45T+YkrMcqqskt5A9b/xUoby0sNjZYbuMd4tmtHpgIdYCE8agAIePa3b5FCKvmYk54RgF6+OwpGfj3SqSkPFDCR7Zl/Q3viLloTddGHndGZpFEHDVYnSRCeXv+Lnj5UXwfY/j3bs/1tQUzKt+BMC7/2CCbrmH4phOmN560UVR150uLqR0U8XrVpfU7Lr1HnE+PqMvRBfmYTmwDV2Qg/IPwtC8HYborg02MWoMHEmMSsv+TVFKTQKSgdauC8n97r/rUVKSUjl8KJ6hIwbyxXfv1rnOp198mOysHFZ8u5JrFy9wQpSukXgokXvm38fGVZvKtYy8+djbvPjtc4yaNJKRE0aw9ofq/6C//MCrZKSkk3Qkmd5DevHUp0+4MnSnSD+UwhtXPM4/v/5d7vxXPPERN331ML0nDqbX+EHs+HFTlfUER4Qw+qrJ5KXn8OT4OyjIzDuxLXZoN679332Mv+VCj0uMPu58FTZzaYXy3ndeSM8bz6f79VPZfNc7DtVVkmdix1NfODnC+tX6iRuxZOeT9+N6Iq6+wOHjTNv2cXDWUgo37ixXnhbTmtgvnyTiymnkfPUbRTsPOjtkpwlcvASdn4d5wxr8p89x+DjfCdPw7t2f0j07yb/vVjCXJRS+fjR56Gn8zr+Ikk1/Ytm5zUWR140uNlG6pm7XrbHrIHxGX4j1UBzFnz0LpyZVBmOd6ncnmZVm91DZyte3ArcBbwA3uzQqN1u3dhOHD8U7rb4rF81jxKjB3Hzd3ZhMRU6r1xW2rdvOhpUbK3QXZadn8+379mb03kN7OVTX9vXbSTqS7PQYXenA+l3sXvVXhfPPT89l3QcrAYgZ0q3aekJbRWAwGkjYdqBcUmR/jd0U55sIKnO5kgAAIABJREFUDGvivMCdpLKkCCD+240ANOkQVZ/huFX4/CkEDetF4u3PYiuqWWtB3k/rKyRFAOaDieR8txaAwCE9nRKnK/hOnoFXz34UPvcoFNfs3H2GjgKg+JP3/k2KAMzFFH38XwD8JjmeZDY8Cp+xs9ElxRR/9VLFpAjAZq3/sITDqmwxUkoZgY5a6++AXGBMvUR1BunYqQN33X8Lb7zyHhvWbWX4qCHuDqnWrKUW+7/Wxvmmtlns52+z2qrdN+NwChZzKW17xxAYGkxhdv6JbR0GdcEvOIC4n6pudfIkrcf1BSB791GHjzH6eNP+guEEtArHYjKT808CaRv2oG2eP63FN6Y1Le68jIy3v6Vw0y6Chjn2ZcAR2mJ//2gPfR8ZWkcTcOnVmL/7DMvuHXj36lez45uGAWBNTamwzZpq/6LkVcM665XRG2OP4RhCwtElZmxpCdgS9jg8HcvQpiOG0EgsuzdCUSHG2D4YIlqjLaXYkg9iSzrg4hNwrUY/K01rbVVKTQUcG1ThIKXUeOBZwAi8obV+9JTti7CvlWQFCoCFWuvdzoyhPhiNRp5/9VGSElN4ZNkz7g6nTgxGA+NmngPA5t+2uDma+mcwGhhwgf2b8J7fq+8CMOUW8t1jHzL1nku445cn2fnzFkw5+YS3jaL7uP7sXbODT+96w9Vh11rXRRPxDvTDO9if8N4diBzcmexd8ex64VuH6/CPasrwF64pV5Yfn8b6m18jbcMeZ4fsPEYDbZ6+hdKkdI49/l+nVm0I8idkwjC0zUbBmr+dWrdTGIwE3XwXtoxUTO+9XqsqbPm5GGmDMao5tsTyLe/GqJb2lwkKRjUNQ+c4Nl6tPhmCm+I3rfx1a8tOw/zta/YEqbrjW3QAQBfm4n/lQxii2pbbbo3/h+LPnwNTfmWHCw/gyBijdUqpF7DPTCs8Xqi1/qs2L1jWCvUiMA5IBDYrpb45JfH5UGv9Stn+U4HlwPjavJ473XLnNfTo1ZXzx8+juNjs7nDq5MqlV9C+S3s2rtrIlt8b38Lnk+6cS4subdn961/sXbPDoWPWvPUDWYnpzH58EUPnnn2iPP1wCps/+71CF5sn6bZoIv6RTU88T/p1O+tvehVzlmMf5gc/XkPaxr3k7k2ktLCYoLaRdJ4/jo7zxjD2g9v5ccoD5OxOcFX4dRK1eA7+3Ttw8MI70eYSp9bd+tHFeEeEkvHf7zEfTHRq3c7gP/syjO07kr/0Biip3bmXbl6Pd5ce+M2cR2nc3//W4+OL/4WXnNhPBQV7XGJk2b4G69G92NITwVyMCo3Ee8A4vPqNwW/O7RS//QC2tKqvWxVo7yL36n82OiedovcfwZZ0ABXSDJ9xF+MV0wu/GYspfu/h+jglp5NZaXbDyv5ddlKZBmq7jtEg4IDW+hCAUuoj4HzgRGKktT75L0Zg2es1KH369WTxLQt55YV32Lq5Yc8+mDb/fC66eibx+xN49CbPH0DtbCMvH8+YhZNJPZDEhzc7PptmzNVTmHj7bNa+8yN/vPsT+ek5RMa0ZNKdc5j33A207BbNd49+6MLIa+/4dHq/Zk2IGNCJvnfPYuLPD/PbZU+RFXek2uPjln9Z7nnu3kQ2LXkbi6mYbosm0evWC1hzhee1ovr37kjkdReS/vpXmP7a69S6W9xzBU0nj6Bg405SHvK81kJjxy74zbyY4q8/wbJ3V63rKf72M3yGjsK7Wy9Cnn+X0q0bQCm8+w9B+ftjy0zHEB7hkeNsSteWv251eiIlP7wNJcV4D52E96gLMH9WzXWrjg/dVZg/e+5EIqUzkjB/+jSGa5/EGN0VQ6vYBt+tdqaqdvC11npMJY+6LO7YCjh5oEJiWVk5SqnrlFIHgceBxZVVpJRaqJTaopTaYirJrkNIznW8C+3QgXgef/g5d4dTJ1Mvm8L1y67lyN54bpt1B/k5jav5d/gl5zL9P5dzbN9RXpqzDFNuYfUHYR+gPWXpxexauZVvHnqPrKNplBaXkLTrCG8vfIqclExGXzWZsDaRLj6DuinOyOPoj1tYNftRfEODGPbs1XWqb99/fwUganBnZ4TnXEYDbZffgvlwEqnL33dq1S2WzifiymkUbNzJkfkPoEssTq2/zgxGgm6+G1tyIkUf1HEZAXMxeXctpujjd8FSiu+5k/EZeTbWA3vJu/3aE4mDzs1xQuD1o/Qv+3VrbOvAdVts/4zQOWkVW5cspVgPxgFgaBnj1Bjri9aq3h7uctoWI6XUO1rry8t+vkxrXfc562VVV1JWoUVIa/0i8KJSai5wD/aFJU/d5zXgNYAWTbt5TKtSYFAAsR3bAxCfVnlr0VPPP8hTzz/I6y//l/uWPlrpPu52wRXTufY/izi85zC3z76TnMxcd4dUr0YtmMC0+y4jZU8CL1/8UI26vrqNtQ8uPbC+4jfv0uISErYfpNf4QbTu3o6so2lOi9lVCpMyyd2fRFiPdviGBWHOcmyhx1OZM+y/Q68AX2eG5xSGQH98Y+wrkfTc92Wl+7R+7AZaP3YD6W99Tcoyx1p9Wtx7JRFXnE/Buu0cXvAg2gO71ZW/P8ZW9rEwYZ+vrHSfwOvvIPD6Oyj+5lNMb75QdYXmYoo+fIuiD98qV2yIbI4hLBxrciK6sHbXkDvowrL3vk/1160t0z7oXBebKq+rLHFS3j7OCU44XVVdab1P+vlGwFmJUSLQ5qTnrbGvjXQ6HwEvO+m160WJuYQP/vtZpdt69e5Gz97d2LhuKwcOHGbLJs9cy2PWNRdx1V1XcGDnAe6Yu5S8bM8dD+MKYxdNZfKSuSTuOsyr8/6v3KwyR3j52N9aQaeZkn+83FLqYS0HVfCPCgVAOzAr73Sa9Y8FID/B8xbP1+ZSsj6qfFVr/x4x+PeIoXDTLsyHkjD95djg8ZbLFtHs0knkr/mbI1c95PQxS86iS0so/uW7Srd5deiEV0wnSnftwJqcUKduNt9zpwB49OrXlTG2tl+3Orv669aasAdttWAIi7KvV3RKl6Ehwp5823I87z0g7KpKjFzVArMZ6KiUag8kAbOBuSfvoJTqqLU+fr+ESYDn3TuhjJeXF+3at6G01EL8EXsPYXGxmdsW31fp/rcuuY6evbvxyf++8shbggBcfONc5t92GXt37GPJxXdV2X1m9DLSMrolFouFlPiK03MbonE3XMCEWy/i6I6DvHrJ/1XZfWbwMtIsOgprqZXMhNQT5Yc272Hk5eMZMvds1n+4ktzUf7t6u4zuQ7sBnSgtLuHI1n0uPZeaaBLbgpJcE8Xpp7QMKkXvO2biHxFC2uZ9lOTavwkrLyPB7SKxlVopiP+31SukUyuK0nIoySn/ewtsFc7Ah+0Nv4c//9O1J1ML2lxC4pLnK90WddMc/HvEkP35r+VuCaL8fPFpFYGtyExpcvk/dK0euZ7wOeeRt3oL8Yv+D32aNaI8QkkJphcqHz/oP/tyvGI6UbL6x/K3BPHxxRARBeZibBmntHr6B0BR+RYT7/6D8Zt2EbaMNIq/rfyLozupZq3QBTknusJOlIeE4zPeft1adp503RqMqNBIsFnR2Sedf1EB1t0b8eo5HO9R0yn97d9zNbTvgTGmJ7q4EOtBxyZxeJrGPvi6tVLqOexdX8d/PkFrXem4n+porS1KqeuBn7BP139La71LKbUM2KK1/ga4Xil1DvZVt7OppBvNlcZPOpvxk+zDqCIjmwHQf1BvnnnJPosgKzOHZffaP0Sat4xk7ebvOZqQxKBe4+ozTJcYN/Mc5t92GVaLlZ2bdjJ9/vkV9jmWmMrPn9q/8TVr3oy3f3uDY0ePMW9Y+f+mYecNZfh59rH7YRH2tU269e/K7ctvBSA3K4/XHqrdlGBXGTBjFBNuvQirxcqhzXsZOX9ChX2yEtPZ/Jn9rjghzcNYsmo5WYnpPDTihhP77Fixkb1rd9B5ZC/uXPkUcT9vJj89l8iYlnQ7ux8Gg4GvH/sfphzP6U5oOboX/e6dQ+qGvRTEp2LOLsAvIoSoIV0IbhdFUWoOG2/7t/sooHkoU9c8QcHRdL4a/O+ar9FTBtP9uskcW/cPBQnpWAqLCIqOotXZffDy9yFp5Tb+ecXBe255uIA+HYn56BEKNsRxaPZdJ8ojb5xN+JzzsBWZKd59iMhrZlY4tmj3YfJ+3lCf4TqVV6euNHn4WUrj/ib/npvKbWv60ntYjhzElpiALi3FK7Yz3r37Y8vJJv+huzyyG82r22C8h03GeuQfdE46uqQIQ2gUxtg+KG8fLPu3Ubr+3+tWBYcScM0T2HLSKXqh/JrH5l8+wNAqBp8R0zC27YIt6SAqpBnGLgPAZsP8/ZtgrryrTbhfVYnR7Sf97NSFa7TWK4AVp5Tdd9LPNzrz9Wqqe88uzJo7vVxZu/Ztadfe3gd/NCHpRGJ0pmnRpjlgbwmacWXlq9NuX7/9RGJUldhuMZx34bnlylpGt6RltH0tk2NHj3lcYhReNhja6GXkrCsmVrrPgQ27TyRGp6O15vX5jzHi0nPpO2UYPc8diLe/L6acAv5ZvY217/zIvrWe9Y0xZe0u9n+wmoiBnQjt3hafJgFYTGbyDx1jx1NfsOfNnyq0AlXm2J+7aRLTgtAe0UT0j8UrwJeSPBPpm/dy6LM/OfyZZ90GxRV8yt5HBn9fIq+7qNJ9sj5b1aATo6qYf/8F776D8e7SA4xe2DJSKfryI4q/+BCd55ljFa1HdmMIb4EhKhrVOha8faHYhO3oXixxf2KJq8F1a8qj6K377YlRl/54tYoFcxHW/dsoXfcNtiTPvRVMdTxmMK8LqZrcKdyTedLga3foHtym+p3OUL2Moe4Owa36lTiy6saZq5ePZ/6hrS+tezeu8X+n8h3YeD/7AALveb9e+7Y2tLyg3v7WDkn+wi39do37E1UIIYQQDmsMY4wcuYmsEEIIIUSjIC1GQgghhHCIOxderC9VLfD4PFWMs6rtrDQhhBBCCE9VVYtR47uFuhBCCCFOq/bLuzYcp02MTr0FiFIq2F6sPW8BCiGEEEIIJ6h2jJFSqgfwHhBmf6rSgUu11rVfF14IIYQQDY6u9HanZxZHZqW9BtyitY7WWrcFbgU8a1U+IYQQQggncGRWWqDWevXxJ1rr35RSgS6MSQghhBAeyNYIllJ2JDE6pJS6F3t3GsA84LDrQhJCCCGEcA9HEqMFwAPAF9hvKLsGmO/KoIQQQgjheWyNYIxRtYmR1jobWKyUagLYZFaaEEIIIc5U1Q6+Vkr1VEr9DcQBu5RSW8tmqgkhhBBCnFEc6Up7FfustNUASqnR2GeqDXNhXEIIIYTwMDJd367CrDRAZqUJIYQQ4owjs9KEEEII4ZDGcEsQR1qMFgAR2GelfQE0Q2alCSGEEOIMVGWLkVIqAogG7tNa59RPSEIIIYTwRI16jJFS6kpgF/A8sEcpNbXeohJCCCGEcIOqWoxuArprrdOVUh2AD4Bv6icsIYQQQniaxj7GqERrnQ6gtT4E+NZPSEIIIYQQ7lFVi1FrpdRzp3uutV7surCEEEII4WkaQ4tRVYnR7ac83+rKQIQQQggh3O20iZHW+t36DKSuSm0Wd4fgVkW2UneH4Db5Rqu7Q3CrTC9HliM7c2UU+bs7BLdqmmRydwhu5dU83d0hNCqNelaaEEIIIURj07i/agohhBDCYbYzv8FIWoyEEEIIIY6rtsXolJlpx+UCW7TWXzs/JCGEEEJ4IpuMMQLAD+gD7C979ALCgCuUUs+4MDYhhBBCiHrlyBijWGCs1toCoJR6GfgZGAfEuTA2IYQQQoh65Uhi1AoIxN59RtnPLbXWVqWU2WWRCSGEEMKjaHcHUA8cSYweB7YppX4DFDAK+D+lVCCw0oWxCSGEEELUq2oTI631m0qpFcAg7InRXVrr5LLNp66OLYQQQogzVGO4JYij0/UNQDqQBcQqpUa5LiQhhBBCCPdwZLr+Y8AsYBf/JosaWOPCuIQQQgjhYWzqzJ+u78gYo2lAZ621DLQWQgghxBnNkcToEOANSGIkhBBCNGIyK83OhH1W2ipOSo601otdFpUQQgghhBs4khh9U/YQQgghRCPWGGalOTJd/936CEQIIYQQwt1OmxgppT7RWl+klIqjkm5FrXUvl0YmhBBCCI9iO/MnpVXZYnRj2b+T6yMQIYQQQgh3O21ipLVOKfs3vv7CEUIIIYSnsnHmNxlV1ZWWTxUz87TWTVwSkRBCCCGEm1TVYhQMoJRaBhwD3sN+r7SLgeB6iU4IIYQQHqMxrGPkyL3SztNav6S1ztda52mtXwZmuDowIYQQQoj65sg6Rlal1MXAR9iTxTmA1aVRudmU889j2IhB9OjZlR49uhDcJIhPP/6aa666vUb13PfAbfTp25OY2HaEhYdSXFzM0YRkfvh+JW+89j7ZWTkuOoPaGz1pFH2H9KZj9xhiu8UQGBzIT5//wrLFj9S4rkmzxnP+vMm079QOg9FAwsGjfP/xj3zxztfYbJ65GkZg0yD6njeIXmP706pzW5o2D8NSYiFpbwLrPl3Nn5+uRuuafWfqOLALZy+YREz/zgSGBFGYW0DSngRWvvU9O3/720VnUjvDl84iqlcHmrZvjn9YMJbiEvISMzj081a2v/MLxTkF1dbh1zSImPEDaDe2D826tCGoeSjWEguZe4+y+5M17PpkDdTwd1hfYu65mOA+HQjo0ALvsCbYiksoTkwn/YfNJL71I5bs6s//uBZzxtDykrMJ7NwGZTBgOphMyke/kfjWj2DzzPM/VcDEc2i2bCkAmQ8+ReHXKxw6ru2WVafdZo7bTer8G5wSn7MFPfwuhmbNK91my82i4I451dahAoPx6jMcr56DMLZqj2oaDlYL1qTDlK77mdJ1P3vs9S/sHEmM5gLPlj008GdZ2RnrltuvpWevrhTkF5CcnEpwk6Ba1bPousvZsX03v63+k4z0LAIC/RkwsA933rWYSy+fxXlnX0hy0jEnR183l984j47dYzEVmEhLSScwOLBW9dzz7BImzDyXrPQsVn2zmiJTMQNH9ufmB2+gz5Be3LPwASdH7hwDJg1l3sMLyUnNYu/6XWQmZ9CkWQj9xg/mssevocfovrxy7VMO1zfp+guYdtsc8jPz2PHrVnLTsgkKbULb7u3oPKS7xyVGfa+YQNrOIySs3UlRZh5e/r606BfLkFtm0GPuGD4+/z8UpGRVWUfHyYMY+38LKEjNJnHdbvKTMwloFkLs+AGc88RVRI/pzYpFz9XTGdVMm6snkR93iKw1cZRm5GII8CWkX0c63HERrS45hy0T78acnFltPV2fv44WF51FSXoOaV+vw2oyEzqyJ50enk/TIV3ZeeXyejibujFGRRB2+w3YCk0YAgNqfLwl+RiF3/1UsTw1wxnhuYw2FVCy6suK5eZih4736j8K/4sXY8vJxLp3O7asNFSTULz7Dsfr0lvw6j6QotcecnbY9aaxT9cHQGt9BDjf9aF4jnuX/h/Jycc4dDCe4SMG8fWK92tVT/tW/TCbSyqU33Xvzdxy+zXcdOvV3HGLZyUIz/3nJdJS0kk8nETfob154bOna1zHyPOGM2HmuSTFJ3PVpGvJzc4DwOhl5MFX7mfMpLOYeNF5rPik4oemu6UeSuH5Kx4l7te/yrUMffnE/7jrq0foP3EI/cYP5q8fN1ZbV/+JQ5h22xx2r93BS4uewFxY/oPV6GV0evx19XL3q7CaSyuUD739QgbdcD4Dr5vK6nveqbKO7EPH+GbBUxxeta3cN+N1j3/C7G8eoOPEQcROGMiBHzY7O/w6WxN7GbZKzr/D0tm0u+kCohdPY9+SN6uso9mEgbS46CyK4lPZMv4uSrPyAVBeRnq8fjORU4bQfNZZHPv4d5ecg7OE33c71tw8in5dS5NLZ9X4eEvKMXJf+68LInMtbSrA/F3tPvMBbKmJmF68D0vcpnLXv/mrtwlc+hze/UdS2ncElr//cEa4wgWqHWOklIpQSt2llHpNKfXW8Ud9BOcuf6zdyKGDdV+loLKkCODrL38AoEOHdnV+DWf7a902Eg8n1amOsyaOBOCjVz89kRQBWC1WXn/CfunMmD+9Tq/hKnvW72THqq0Vusvy0nNY88HPAHQe0r3aepRSzFgyD7OpmNdvfLZCUgT234enqSwpAtj/nT0RbNo+qto6Etft5vDKvyt0F5jSc4l7/1cAWg3pWsdIXaOypAgg7ev1AAR0aFFtHRETBwGQ8PJ3J5IiAG2xcuixjwFofcWEuobqUsGzL8B3YF+yHngcXexYS4mws+7djmXHxgrXv87LpmTN9wB4dW646yPb6vHhLo50pX0NrAVWUsOxRUqp8di74IzAG1rrR0/Zvgi4rqzeAmCh1nq3Uqod8A+wt2zXDVrrRTV5bU923oQxAOzetbeaPRum8IgwAJITUipsS463l3Xp1YmgJoEU5BXWa2x1YSlLZKzW6t8GMf07E9E2ii3fr8eUW0DPMf1o1bkNpeZSDm8/wKG/9rk6XKdqf05fADL+OVqneo4ng9qB36EnaXZefwAKdlf/hck3sikARfGpFbYdL2vSuwNeTQKw5JmcGKVzeLVrS8j1V5L/0ReY/47Db2DfWtVjCAoicOp4jOFh2AoKKflnHyU7/3FytC7g7Y334LGosEgwF2NNPIx1fxxoJ/yptlqAhnf9NzaOJEYBWus7a1qxUsoIvAiMAxKBzUqpb7TWu0/a7UOt9Stl+08FlgPjy7Yd1Fr3qenreqLrblhAYFAgTZoE0btvT4YOG8DOuD08u/xVd4fmEjlZuQC0aFtxEGPL6H+/cUfHtmXXXw3ggxIwGA0MveAsAHb9vq3a/dv1jgEgLyOXe797nNZdo8tt37txN69c8xQFWXmVHe52/RZOxDvQD99gfyJ7daDVoM6k745ny0vf1rpOZTTQdcYIAI78tsNZobpEm2um4BXoh7FJAE16d6DpkK7k7zpC/PNfVXtsSVkrkX/byArb/KP/bXEL6NiKvK37nRe0MxgNhC9bgjU1jdwXq+4yrI5P51jC7ys/YaVk7wEy73uU0oOH61S3KxlCwvFfUP5Pni09haJ3n7InSLWu2ID3kHMAsOzaUpcQ3aoxDBt3JDH6Tik1UWvt2HSEfw0CDmitDwEopT7CPlbpRGKktT75r0IgZ+jv/NrFVxAVFXHi+cpf1nDDojvJzMx2Y1Sus27les6dfjazr7qQlV+vJj/H/ofCaDRw5a2Xn9gvOKThLId1wZ0X07pLW3b8+he71myvdv/g8BAAzrp4HBlH03hq7gMc3naA8FbNuPCey+hxVh8WvXQLT87+j4sjr51+CycSWNbyAXBk9XZ+ufVVik7qGqqp4Utm0axLGw6v2kbCmjr8gakHba+dcqLlByBz1d/svvElSjOrP//MX7bS/IIRtFk0mdSv/sSSY28VVUYD7W+/6MR+XiG1m9jgSiFXXopP51hSr7wJfZqhAI7Ie/9TTL+uwRKfiC4pwbtdW5pcNpuAc84i8pUnOTb3aqzpnjcIu2T9z1j378SWHI8uLsIQ0Ryf0efjPXICAYsfovCxm7ElHqpV3b7Tr8DYqj2lcRux7t7q5MiFMzmSGN0I3KWUMgOl2Bd51A6sfN0KOLndPREYfOpOSqnrgFsAH2DsSZvaK6X+BvKAe7TWays5diGwECDQNxI/nxAHTqf+de84HICIiHAGDu7HfQ/cyuo/vmLuRVezY/vuao5ueFZ+vZrzLhjH0LMH88Hqt/nj53WYi80MGNGPVtEtSTh0lLYd2mCzeuaU/VONvXwC5y2cSsqBRN68+XmHjjEY7MP3lFK8cu1TJP5j74JJ3p/ISwuf4KHVz9J5SHc69Ovkkd1qbwy4HoCAZk1o0b8Tw5fMYs4PD/PN/KdI33mkxvX1nn8u/a+eRNb+JH666WUnR+t8f/ZcCIB3RAghAzoRc8/FDFr5GNvnPUZBXNWtHalfriNqxkiandOPwWufJuOnLdiKzISO6ol/dHNMB5MJiGkJHnb9+3TvTJP5c8n/4DNK4ur2uZTzzCvlnpf8s4+MJcto9tj9BJw9iuBLLiRnueddByXffVDuuS05nuIPn0Obi/A9dya+k+dR9MqyGtfrM+Z8fM+diTUlgaK3nnBWuG7RGGalVTv4WmsdrLU2aK39tdZNyp47cjuQyn59FVqEtNYvaq1jgDuBe8qKU4C2Wuu+2JOmD5VSFV5Ta/2a1nqA1nqApyZFJ0tPz2TFd78wc9oCQsNCefHVx90dkktorblz/t08v+xlstKzGD9jHJNmjSctJZ1rpi8mr2xAdnYDaDEbfcl5zPnPApL3HeXJOQ9gynVsHRtTnn2/9ITUE0nRcaXmkhOtTu17xzo3YCczZeRx8KctfDnvUfyaBnHu01fXuI5el57D6AcuJXNfIp/P/j/MuQ1nXFlpei4ZP2xm+6yH8A4NptsL11V/kNbEXfo4++//LyVpOTSfOYoWc8ZgTs7ir6n3Ulq2FlJJRq6Lo68Bo4HwZUuxJCSS8/LbLnuZ/M/tXbF+fRvW4OPjg6aNHXvW+Fjv0VPwm30t1uR4TMvvAFPtW11F/ai2xUgpNaqycq31mmoOTQTanPS8NZBcxf4fAS+X1W0GzGU/b1VKHQQ6AQ23Y/YkiUeT2bvnAL16dyMsLJSsLM9PEGrKarXx0auf8tGrn5Yr9/HzoWO3WIqLijm094h7gnPQ2QsmMvu++STuSWD5xQ+Qn+n4eKBjB+2XetFpBpebypIDbz+fugdaD/KTMsnan0Rkj3b4hQZR7OBCh32uOI+z7r+EjD1H+WLOIxTV4HfoSYoTMyjcl0hwz/Z4hwWXm21WGW21cfSV7zj6ynflyg1+3gR1b4fVZKZwb6IrQ64R5e+Pd7T947rt+h8r3Sf83lsJv/dW8j78nJzlL9XqdWzZOWWv51e7QN1E55fF7VuzuH3Ono7fRYuwJh3G9PSd6HwPSoaHiNviAAAgAElEQVRrybPaOV3Dka60k0fP+WEfO7SV8t1eldkMdFRKtQeSgNmcsjCkUqqj1vr46MNJwP6y8gggS2ttVUp1ADoCtevY9VDNW9gHZlptjWt2wvgZ4/D192XFJz965HT148YvOp8ZS+aRsOswT897kILsmn3L27/pHyylFiLbt8Do7YW11FJue8vO9j9CmYlpTovZ1YKiQgHQDq5a3v+ayYxYOpu0nUf48uJHHU6mPJVv87Lzr0MXWPMLR2H09yHlo9/QnnT9l5ZS8FXlw0h9unTEp0tHiv+OwxJ/tE7dbL49uwFgSao4Y9WTGTvYl5ewpTset895F+F3wRVYEw5gemYpurBhfilojBxZ4HHKyc+VUm2AavuAtNYWpdT1wE/Yp+u/pbXeVXZT2i1a62+A65VS52Afu5QNXFZ2+ChgmVLKgn0q/yKtddXL7bqJl5cX7dq3xWIp5cjhf4dUxXbsQF5uHmlp5QcYKqVYes9NREY2Y+OGreTmNNw3i9HLSKvollgtVpLiyzcGBgQFYCooPxW5S+/OXLP0KkwFJt5++r36DLVGJt0wg2m3zubIjoM8fclDVXafGb2MRERHYS21kp7w7/Tsgux8tny3jiHTRzFl8Uy+euqjE9u6juhF91G9MeUVstOBGW71JTSmBeY8E6b0U77VKsXQ22YSEBFC8pZ9mHPt/68GLyMh0ZHYLFZy48sneIMWT2PobTNJ3XGILy9+rEF0nwXEtsSSW0hJJeffYcksfCKakrNpD5ayc1FeRvzbRaFLrRWm5huD/LEWFJUrC+4TQ8zdF2MpKOLw8s9cei41pc0lZD1U+YruIQsvxadLRwq/+7ncLUGUry/G5pHoYjPW1H///707d8QSf7TC+kfesR0IuXYBAIUrVrrgLOrG0CIaW25Wha4uFRaJ32x7F2rppl9POsCIIaIl2mpBZ5RPmHwmzsXv/Muwxu+j8Jm7zqjuM2kxqlwi/8/efcdHWWUNHP/dFFJIQigJCS2F3nvoSJUqRUCpKogIUkRBAQu21bWjq74qYu+KZdWliPTee69phPTeJ7nvHxmREmBIZuYJmfPdTz5OnnJzLslOTs4tDzSz5ELzSrZlVxxbeMnrh69x30/ATyWIzSoGDOrDwMFFyyr9q1cDoF1Ya955v2gbpqTEZJ556hUAAmtUZ9vuFUSER9Gm+T9FtN59u/HsC4+zdfMuzp2NICkpBT//qnTuGkZISB1iL8TxyMynKGu69etC9/5Fk8WrmPcjata2KU8uehyAlKQ03nuhaGKlX0A1vt3wOTGRFxjZ8fKnxLz17Wvk5uRy9vg5sjKyCGkYTMdeHcjPy+OJyc8Uu8dRWdBpxG0MmzOaAlMBJ3cepffEqzfiS4yKZ8vSdQD4BlThhdVvkxAVx4Kul88/+eFfnxPSqj6DZo6gflhjzu4/RdWafrTuF0ZhQSFfzP+A7DK0j01QjxZ0fWIM53ccJyU8lpzkDDyrVaJmx0b4BlUnMy6F1fOWXLy+YkBl7ln7GmmR8Xza5ZGLxxuP7EanuSMpNBVwfsdxWk3qd9XXSouM5+jSq9ZTGKpKr1bUWzielG1HyT4XS35yOhX8fKncqTEewQHkxiZzbM4/W2y4BVah4+a3yI6IY2v7GZe11erHpyjMziPzWCSmzGwqNqxN1d6t0Xn5HJz4Bjnht06l8FoqNGtE9Q/fJGf3PuIenHPxuPfo4Xj27ErOrn0UxMah8/JxDa6De6f2KBdnMn7+g6yVa67TsjFc23ajQv+7ix7jkXABnZuNU7VAXJqHoSq4kX9wO3l//pPQqsrV8Hp+CYUJF8h48t5/2unYB/eh96ILCjCdPIRbr6sfHFGYGEv+1lV26Ze4eZbMMXqHfyZNOwGtgBuvV76FNW/RmDHj7rzsWEhIHUJC6gAQER51MTG6lvVrt/DFZz8Q1qENTZs3olIlb7Iyszl9+hyvfvcOiz/4gpTksjfeXL9pPQbe1f+yYzWDa1AzuAYAMZEXLiZG17PufxvoPbQnt9/ZBzf3CiTEJvLHt//jy3e/5ULU1RvflRXVahcNcTq7ONP3/sHFXnN82+GLidH1pCem8dKwJxg8cwSt+4UR2roBOZnZHFy7h+X/9wtn9patPWwiNx7m0DdrqdGuAfUa18HNx5P8rFxSzl5g288/s++TlRZVfnxqF21N4eTiTOvJxe/wHLX1aJlLjJI3HOT8l6upFNYQryZBuFSqSGFWLlmnz3Phxx+JXLLs4tL7G4n/fRv+w7pQfWQ3nN0rkBubTMzXawh/51dyIuNt3BNjZa/bjFNFT1zrh+LerhXKrQKFqWnkbNlBxq//I3vDVqNDLJbp+H6cqtfCqU49XEMbg5s7OiuDglOHyd++mvxtllW5/n4IrXJ2xq3PncVeYzq+/5ZNjLQDrEpTN3pSuFLq3ks+NQHntNabbRpVCVTzaVAu90CyVEPvWkaHYJgmrlWNDsFQzQrdjA7BUM1Lsd9OeVCv9o0falue+bYtycBH+eHz4Uq7piof1B5vt9+1UyO/MiQNu+ZPlFKqjtY6Qmv9uT0DEkIIIUTZ5AhzjK63j9HFve+VUobN9xFCCCGEsJfrJUaXlrBCbR2IEEIIIYTRrjc4q6/xWgghhBAOyBGG0q6XGLVUSqVRVDnyML8Gy5+VJoQQQghxS7lmYqS1drZnIEIIIYQo2xxh+OiGD5EVQgghhHAUjr0BhBBCCCEsVugAGzxKxUgIIYQQwkwqRkIIIYSwiCOsSpOKkRBCCCGEmVSMhBBCCGERqRgJIYQQQjgQqRgJIYQQwiKyj5EQQgghhAORipEQQgghLCL7GAkhhBBCOBCpGAkhhBDCIrIqTQghhBDCgUhiJIQQQghhJkNpQgghhLCILNcXQgghhHAg5aZilFdgMjoEQ2UX5hkdgmF258ZQv0I1o8MwTLKqYHQIhkp0cjU6BENVS/A0OgRDeZxJMzoEh1LoADUjqRiJW54jJ0VCCCGsq9xUjIQQQghhW7JcXwghhBCiDFJKuSuldiil9iulDiulnivmGjel1PdKqVNKqe1KqeAbtSuJkRBCCCEsou34YYFcoJfWuiXQCuivlOp4xTX3A8la63rAIuCVGzUqiZEQQgghbjm6SIb5U1fzx5U51VDgc/PrpUBvpdR1n/gmiZEQQgghLFJoxw+l1BSl1K5LPqZcGY9SylkptQ+IA1ZprbdfcUlNIBJAa20CUoGq1+ujTL4WQgghRJmjtV4MLL7BNQVAK6WUL/CLUqqZ1vrQJZcUVx267kidJEZCCCGEsEjhdQehjKO1TlFKrQP6A5cmRlFAbSBKKeUCVAKSrteWDKUJIYQQ4pajlPIzV4pQSnkAfYBjV1z2G3Cv+fVIYI3WWipGQgghhCi9MrbzdSDwuVLKmaJCzw9a6z+UUs8Du7TWvwEfA18qpU5RVCkafaNGJTESQgghxC1Ha30AaF3M8YWXvM4BRt1Mu5IYCSGEEMIiZapeZCMyx0gIIYQQwkwSIyGEEEIIMxlKE0IIIYRF5CGyQgghhBAORCpGQgghhLBIGVuubxNSMRJCCCGEMJOKkRBCCCEsUv7rRVIxEkIIIYS4SCpGQgghhLCIrEoTQgghhHAgUjEqxtBhA+jaNYzmLZrQrHkjfHy8+f67X3ng/kctbqNKFV8G33E7/fr3pGnThgTWCCAvL58jh4/z1ZdL+erLH7nBA34N0XtQD9p2akXDZvWp36QeXt4VWfbTSp6a8cJNt9W1dyfGPDCK0PrBVKpciYS4RI4eOM7XH37Hgd2HbRB96Xn5ehPWvwOte7ajTqMgqgRUwZRnIuJ4OOt+XMO6H1aX+PvWbXgPZrw1G4AP573Lmu/+smbodtVn/mhqtAihakggnlW8MeXkkRKdwLGVu9nx+Z9kp2QYHWKJNH9yNJVbhuAdGohbFW8KcvLIjErg/IrdnPr0T/KSb65f1To0pP4D/anarj4VfL3IS8kg9VgUJxcv58Ka/TbqhfX4Du9JnUVF73tR894h6fs/b3iPS/UqVOrfGe+e7XCvVwsXvyoUZmWTfeg0iV8tJ23lVluHbTVufW7HZ96TAKS/+So5y/9n2Y1OTrj16IXH4KE416yJ8qxIQUI8psOHyPrxOwrCz9kuaBtzhFVpkhgV47F502nRognp6Rmcj76Aj4/3TbcxbPhA3vrPv4iJiWXjhm1ERi7H378adwzpx3vvv0zf22/jnvHTbRB96UyefS8Nm9UnMyOLuJg4vLwrlqidWU9O474Z40hOSmHd8o2kJKVSO6QmPfp1pfeg21g4618s++nGb7L21nFQZx54aRpJsUkc2XqQhOh4Kvn5EtavE1NfnUGrHm1YNO3Vm263amA1Jj73ANkZ2Xh4edggcvvqdP8AYg6d48ymg2QmpOHq6Uat1vXo+egI2o7tyZJhz5AWk2R0mDetwZQBJB88R+yGg+QmpOHs6UbVtvVo+tgIQsf3ZPXgZ8g+b1m/Gs8eRrN5o8hNTOP8qr3kxKXgVsUb32ZB+HVuUuYTI9fAatR8bgoFGVk4e3lafF+1++7Af9pIciMukLH1IKb4ZFxr+lOpfye8u7UmfsmvxPzrYxtGbh1Ofn54TZ9FYVYWTp6W9x/Ae8HTuPfoRUFcHLmbNqKzs3AOCcWtbz/cevYm9cnHyd+310aRi9KSxKgYC+b9i/PRFzh9+hxdu3Vg2Ypvb7qNU6fOctfIyaxcsfayCsNzz77G2vW/Mmz4AIYM7c9v/11hzdBL7Y1n/kNsTDyRZ6No26k1H/38zk23UdWvChOmjSYhLpG7e91LcmLKxXPtOrdm8U/vMPWxyWUyMYo5e55XJr3I3jW7Lvu+ffvqV7z039foOLAzYQM6sWP5zf3VO+31maSnpLNjxVaGPDjc2mHb3b+bTcaUm3/V8V6PjaL7jGF0mz6E/z31mf0DK6VfGkymsJh+NZs/isYPD6PRzCHsXfDZDdupNTiMZvNGEbv+IFvufwtTZs5l55WLs7VCtplarz2MKTmdtBVb8XvwTovvy9p3gtN3LyBz+6HLjsfVrUW9X17Hb/IwUn5dR/ah09YO2aq8585Hp6WRu2kDnneNsfg+lwaNcO/RC9PZMyTPnAq5uRfPufUbgM/c+XiOvYfUWzQxKv/1IpljVKyNG7Zx+vS5UrWxYf1WVixfc9WwS1xsAp8s+QaAbt06lOpr2MKuLXuJPBtVqjYCawXg7OzMoT1HLkuK/m4/Iz2TylV9S/U1bOXwloPsWb3zqu9banwKq75eCUDTjs1uqs0BEwfTtHNzPpj7H3Kzcm98wy2guKQI4PAf2wGoEhxgz3CsprikCCDyt6J+eYdY0C+laP7UGExZOWyb/t5VSRGANhWUKk5bqzrxDrw6tyDqsbcpzL46/utJW7n1qqQIIPd0FCl/bASgYsfmVonTVjyGj8C1VRvSX38ZnXNz/XcODAQgb9+ey5IigLwtmwBw8i2b73+iiCRGBsg3Fb35mgrK9ptjSUWcjSQvN4+mrRvjW6XSZefadGyJl3dFtm/cZVB0JVdgMpn/a/n3rWa9WoydP4Hln/zB0R1HbBVamdGwTxsAYo9FGhyJddW4vahfKUdv3K+q7evjFeRPzOr95KdkEtC7FQ2nD6be5H5UaVvP1qGWmlvdWgTOu5eET38nc4d15wL+nRDqMvze51wniIr3P0j2L0vJP3jgpu83mecPVWjVBipUuOxchQ6dAcjbc+u9//2t0I4fRjFkKE0p1R94G3AGlmitX77GdSOBH4H2Wutb9yfpEs7OzowZW1SW/mvVeoOjsY20lHT+8+L7PPrsTJau/4p1KzaSkpxKraCa3HZ7F7au38GLj938PB0jOTk70f3OngDsX7/H4numL5pNQnQC3776lS3DM0znKQOp4OmOm7cnNVqEEBTWiAtHwtn0f78ZHVqpNJg6EJeK7rj6eFK5ZQh+HRqRcjicY+/euF9VWoUCkBufSp8/X8S3SZ3LzsdvPcqWB94mLzHdJrGXirMTtRc9Sn50PBde/cKqTTt5eVBpQGd0YSEZG8roMJKTM97znqAgLpbMTz4qURMF586StfQHPEfeRZVPviRv+1Z0VhbOQSFUaB9GztrVZH5W9udYOTK7J0ZKKWfgPaAvEAXsVEr9prU+csV13sAsYLu9Y7Sl5154nKZNG7JyxVpW/7XR6HBs5puPfuR85AWeeXMBd44fcvF4xJlIfv9++VVDbGXd2Pn3UKdREHvW7GL/hn0W3TPi4bsJaRrCwpFPkJ+bZ+MIjdH5gUF4+f8zLHBy3X5+nfMBWUll8Jf+TWg4bRDul/QrZs1+dj78gUXJjFu1oipp6D29yYyIZ/2ol0jcc4qKtarR8tlxBPRsSafFs1g/4kWbxV9S1WeNwaNpKKdHzUNb+We21suzcPWrTMIX/yP3dOmG623Fc8K9uNStT8ojMyGv5P3P/PA9CqIi8Jo6A48h/8wpzD9xjJw/V8BNDs+VJdoBZhkZMZQWBpzSWp/RWucB3wFDi7nuBeBV4Nb9CbrC1Gn3MuvhBzh+7BRTJlu+9P9WdO9DY3n1oxf4/Ydl3NHhLjqH9mbs7ZOIjjjPS//3DA8/Nc3oEC3W/75B3DFlGNGnInl39lsW3VO3ZX2GTx/JHx/9xsk9x20coXFebz+dZ4PG8VrbaXw3ZRGVa/sxddlLBDYLNjq0Uvm95XR+DBzHb82nsXnSIrzq+NF31Uv4Ng++4b3KqehtVSnF1gfeJm7TYQqyckk7Ec3mSYvIik7Ev3OTMjes5tGyPv7TRxH/0a9kWflnNvCp+/Ed3JWM7YeI+dcSq7ZtLS4NG+E5ZhzZS3/AdLR0Q4gVH5qF18zZZH71OYljRhJ/R3+SZ88ADb7/fg33IcOsFLWwBSMSo5rApQP1UeZjFymlWgO1tdZ/XK8hpdQUpdQupdSuPFOa9SO1ogemTODV15/h6JETDBo4luTkVKNDspm2nVrz8NMPseHPzbz57LtER5wnJzuXYwdPMGfSE8Sej2P81NHUrFPD6FBv6PZ7BjDxuQeIPBHBc6OfJjP1xvvYODk7MWPRbGLOnuf7N762Q5TGy0xI49jKXXw54RU8fL0Y/uZUo0OyityENM4v38WGMa9QobIXYf+5cb/yUzMByAiPI/VIxGXnCnPyubCuaN5KldZ1rR9wSTk7UefNR8k9G03sm9Yd9g1cMBG/ycPI2H6IcxOfQ+eZrNq+VTg54z3vSQqiosj8vHTDXG6398dz+Aiyf/mZ7O+/oTAhHnKyMR0+SOrTC9A5OVS8/0Fwv/W37SivjJhjpIo5drE2p5RyAhYB992oIa31YmAxgE/F0DJb33to+kRefvVpDh8+zh2DxpMQn2h0SDbVrW/RBMOdm6+ei5OTncvhfUfpNfA2GjavT3TEeXuHZ7GBk+7g3mfuJ+JYOC+MXUhaomXJrHtFD2rULcr1vz65tNhrHnxlBg++MoNlH//O58+Xn/kGqdEJxJ+KJrBpMJ6Vvci6yQ0Ry6qsqATSTkRTuXkwFap4kZd07X6lny76mc5Pyyz2/N+Jk7N7hWLPG8GpogdudWsB0PzEL8VeU+uVmdR6ZSbxn/yXmOctq/oEPj0Zv/uHkrFlP2cnvYDOKZurMpWHBy61i+aC+S0rfuNV70cfx/vRx8n6+Ucy33/3mm25degEQP7+q+dR6eQkTJERuNZvgEvt2phOnrBC9PblCI8EMSIxigJqX/J5LeDS347eQDNgnVIKIAD4TSk15FacgD370Qd5/oV57N9/mKF33ENSYrLRIdlchQquANdckv/3cVNZ/MvRbMjU4YxbcC9nD5/hxXHPkJ5s+ZyZ/Nx81ny3qthzIc1CCWlWl6M7jhBzJpoTe45ZK+Qyw9u/MgCFBeXrLdQjoKhf+gb9it92jMJ8E14hAShXZ3T+5SuwfBoVvf1lRcbbJtAS0Ln5JH1X/L5iHs3q4tGsLpk7DpN7JposC39mazw/lWr3DCJ9w17OPfAvq89Zsiadn0f28uIHKFzqNcC1fgPyDx7AFBWB6cgNhtlcixJep0rFv//9fVznl933P0dnRGK0E6ivlAoBooHRwNi/T2qtU4Fqf3+ulFoHzC2rSZGLiwshoXUw5Zs4e/bysvnj82bw1MJH2bPnIMOH3FPuhs9cXJypFVwTU76JqPB/ctu92w8w+v6R3Dl+CD99+V/iLyRcPNe5V0datm9OTnYu+3cdNCLsG7pz1l3cPWcspw+c4sXxz153+MzZxZnqQQEU5BcQG3EBgPzcPD6c916x14+cPZqQZnXZ8NOaW/aRINXqBpKTlkVG/OU/z0opes4diZdfJSJ2nSAnLcugCEvGu14gealZ5F7RL5Si2byRuPtVImHHCfJTi/qlXJzxCvanML+AzPC4i5fnJWUQ+ds2gkZ0pcmjd3L4lR8vnvPv3oyAHs3JS83kwtqbXwpuKzo3j6j5xW/mWn32GDya1SX5pzWXPRJEubtRoaYfhdm55J+/PMmr+e8ZVB3Tj7S1uwif+hL6GvtDlRl5eWS8+Vqxpzwn3Idr/QbkrFpx+SNB3Nxw9q+OzsmhMP6f73/+oQO4deqMx4hR5G5cj876p3LoPngIzv7+FCQmUhBxzla9sSl5JIgNaK1NSqkZwEqKlut/orU+rJR6HtiltTZ8ne+gwX0ZfEdfAKpX9wMgLKw1739YtMQ8MTGZp574NwA1alRn996/CA+PonmT7hfbGDvuTp5a+Cgmk4mtW3Yyddp9V32d8IgovvnqJxv35ub06N+NHv27AVDNvyoAzds249m3ngAgJSmVt54v+qXvF+DHzxu/4XxkDIPDRl1s468/1rJt/U463taenzZ8zdrlG0iMSyKkfhDd+nbGycmJd176gNTksjcvrPuIntw9ZywFpgKO7TjCgImDr7omPiqO9UvXAFAloCqL1rxHXGQcM7tOsXe4hqh3W0v6PjGG8B3HSA6PIys5Ay8/H4I6NKZKUHXS45L5fX7ZnGB7PQE9W9Li6THEbztGZngcuckZuFfzwa9TY7yCq5Mdm8yux/7pl0dAZfpvfJ3MyHiWhc2+rK39z3xNldb1aDJ7GH4dG5G09zSetapRc0A7dEEhu+cuIf8WSxyv5NmqPnW/+zcZ2w5yZvQTF4/7PzyaqmP6UZidS86RM/hPG3nVvdlHzpL25zZ7hmt1rg0b4/vG2+Tt30vq3H++/9m//Yp7rz641K1Hlc++InfrFnRGOi71G1ChdVt0gYmMdxdBYfmqqJYnhuxjpLVeBiy74tjCa1zbwx4xXapFiyaMG3/5/5lDQoMICQ0CIDw86mJidC1BQUXlchcXF6bPmFTsNRs3bCtziVHDpvUZcvfAy47VDq5J7eCiOTPnI2MuJkbXorVm1vi53DXxTvoN7UPPAd1x93AjLSWdzau38u3HS9m2fqfN+lAa/rWrA0WVoEGThxR7zeGthy4mRo7ozKZD7P52LXXaNiCgcRDuPp7kZeWSeDaGdT9vYvunK8lOLX5+TVkWu+EQZ75aS7X2DfBtGoSrjycFWbmkn4nh8OubOPnxSvJTLOtXbmIaqwctpMnsYdQc0I6qbeqRn5FNzF/7OPbObyTtOWXj3hinQu2i3cGdPNzwn35XsdckLV19yydG15STTfLsGXiOvAu3rt1w79kbXF0pTE0hZ/1asn/8DtPxW3cIvfzXi0CVxSe8l0RZnnxtD/V8yv4KL1upX6HajS8qxxpTsgf9lhdNy+7UFbto6Fb2Kq/2FFjfsfvvt2p9cQuabGZa8F12+137/rkf7Nq3v8lDZIUQQghhEUeYYyTPShNCCCGEMJOKkRBCCCEs4ghTxqViJIQQQghhJhUjIYQQQlhEHiIrhBBCCOFApGIkhBBCCIvIHCMhhBBCCAciFSMhhBBCWETmGAkhhBBCOBBJjIQQQgghzGQoTQghhBAWkcnXQgghhBAORCpGQgghhLBIoZbJ10IIIYQQDkMqRkIIIYSwSPmvF0nFSAghhBDiIqkYCSGEEMIihQ5QM5KKkRBCCCGEmVSMhBBCCGEReSSIEEIIIYQDkYqREEIIISwiO18LIYQQQjiQclMxyiswGR2CobIKco0OwTDpOs/oEAyV7ORudAiGinUpN29jJeKb7Wl0CIbyjHbs///72fnryao0IYQQQggH4th/agkhhBDCYrIqTQghhBDCgUhiJIQQQghhJkNpQgghhLCILNcXQgghhHAgUjESQgghhEW0lsnXQgghhBAOQypGQgghhLCIbPAohBBCCOFApGIkhBBCCIvIqjQhhBBCCAciFSMhhBBCWEQeCSKEEEII4UCkYiSEEEIIi8iqNCGEEEIIByIVIyGEEEJYRHa+FkIIIYRwIFIxEkIIIYRFZB8jIYQQQggHIhUjIYQQQlhE9jESQgghhHAgUjEqxvDhA+nWrQMtWzalefPG+Ph48+23PzNx4mxD2rGnfoN70b5zGxo1a0CjpvXx8vbit6XLefyhhSVqr22HVtz74BhatW+Br68PKSlpnDx6is8//JYNq7dYOfrS8/b1pnP/zrTv1Z7gRsFUDaiKKc/EuePnWPXDKlb9sMqiVRnWaseePH29aNGvPU17tSawYR0qBVShIM9EzPEItv+4nu0/rrMo5rCRtzHu9WnXvaawoJBH6o61VuhW02nB3fi3CMU3NACPKt6YcvJIj0rgzMrdHPxsFTkpGXZtx97qPTUWn1ahVAwNxLWKD4U5eWRHxRO/fBeRn6wgP9nyuKv1aU2dBwZQsUEtXCt7kxuXTPr+s4R/+Aepu07asBfW431Hb6q/8jgAcU8vIu2nFSVqp/LUsVSddS8A0ffPJ3vrXqvFKKxPEqNizJ8/k5Ytm5KenkF0dAw+Pt6GtmNPUx+9n8bNGpCZkcmF83F4eXuVvK1HJjF7wTSSEpJZt2oT8bEJVK7iS+PmDQnr0rZMJkbdBndjxkszSIxN5MCWA8Sfj8e3mi+d+2mhpQwAACAASURBVHdm9muzadezHS9Nfclu7dhT60EduevFyaTGJnFy6xGSzyfgXa0SLfqHMebVB2ncoxWfPrTohu1EHznH8reWFnuubvtGNOjSjKPr9lk7fKtoNXkA8YfOEbnxENkJabh6ulG9TT06zBlB03E9WTrkWTJikuzWjr0FPTiItINnSdxwkLyEVJw93anUpj51Hx9FzQm92THwKXLPJ96wnXpPjSVk5lDyEtOIX7GLvKQ0PIMD8OvfDv/BYRya8R4Xftpkhx6VnEuAH9WefIjCzCycKnqWuB23xvWoMm1sqdspKxxhg0dJjIrx+OPPExUVw+nT5+jevSN//vmDoe3Y08tPv8mF83GEn40krHMbvvj1wxK10++O3sxeMI3N67cz677HyczMuuy8i4uzNcK1uugz0Tw76Vl2rt55WXXk81c/Z9Fvi+g6sCtdBnRh8/LNdmnHnuLOxLD4/lc5smbvZTH/8dp3zPn1RVoN7EDL/mHsX7Hjuu1EHwkn+kh4sedm//w8AFu+XW29wK1ocZMHKMjNv+p4x8dH0W7mUNrOGML6Jz+zWzv2trbefRQWE3fdBXcTOvtOQmYN49j8j6/bRgW/SgQ/dAe5cSls7fkY+QlpF89V7tKUdj8vpO68u8p8YuT/4hwKU9LI+GszlSeNKlEbqoIr/q88Ts6hk+RHnMdnaB8rRylsQeYYFWP9+q2cPn2uzLRjT9s37yb8bGSp2lBKMXfhTLIys5k79amrkiIAk6mgVF/DVvZv2c+Ov3ZcNWSUHJ/Msq+WAdC8Y3O7tWNPJ7ce5vDqPVfFnB6fyuav/wKgXscmJW4/sEEtQto0ICUmkcNr9pQqVlspLpkBOPn7dgAqBVe3azv2VlxSBBD7320AeIYG3LAN99p+KGcnUvecvCwpAkjefBhTehYVqvqUPlgbqjR+GB4dWhL75Bvo7JwSt1P1kUm41qxO3BOvQ2H5WOiutbbbh1FsmhgppforpY4rpU4ppeZf57qRSimtlGpn/jxYKZWtlNpn/vjAlnEK62od1oLaQTXZsHozaSnp3NanC5Nn3sOEB0bTql3ZSgZuRoE5mSsoKF1SZ6127KnAZAKK5gaVVOexRX8tb/thLbrw1irHh/RtDUDisdL90WCtduzNr19bADKORNzw2qwzMRTm5lOpdT1cq1w+fcC3Y2NcvD1J2nDQJnFag2tobao+OonUL38lZ/ehErfjEdaSShOGkbjoU/LDo60YobA1mw2lKaWcgfeAvkAUsFMp9ZvW+sgV13kDs4DtVzRxWmvdylbxCdtp3qqoqpAYn8TPq7+kYZP6l53fuWUPs+6fR3JiihHhlYiTsxO9R/QGYPe63Ya3Y09Ozk60v7M7AEfXl2xukKubK+2Gd6WwoJCt3621Zng20frBgbh6ulPBxwP/FqHUCGtIwpFwdr/3uyHt2FvQtME4V3THxccTn5ahVO7YmPTD4Zx959cb3mtKyeTkv76hwXMT6LzxDeKW7yQ/OQOPoOr49WtL4rr9HHnsIzv0ogScnaj+8uOYYuJIfOvTEjfj5OWJ/0tzyNl9iNSvbvxvdiuROUalEwac0lqfAVBKfQcMBY5ccd0LwKvAXBvGIuyoarUqANx9751ERZznvhEPcWDPIWrUCmTec7Pp1qsTby95mXuGTzU4UstNnD+R4EbB7Fi9gz0bSj4MZK127OmOeWOp0agOh9fs4diGAyVqo9XgTnhW8uLw6j2kxNx48q7RWk0ZSEV/34ufh6/dz1+PfkhOUroh7dhb0EN34HZJ3Amr93L44ffJT7Qs7ojFy8iOjKPpomnUmvDPvJqsMzGc/379VUNsZUWVaeNxa1yX6PFz0Ll5JW6n2pPTcfb1Ifq+x60YnbAXWw6l1QQurRdHmY9dpJRqDdTWWv9RzP0hSqm9Sqn1SqluxX0BpdQUpdQupdSugoKyufzVETk5F/1YKaV4+P75bNu4k6zMbE4dP8OM+x4jJjqWsC5tb5lhtSEThzDiwRFEnIzg9dmvG96OPXW/rz+9pgzmwqlovnrkvRK303lMUZVs8zd/WSs0m/q07QzerT2ej1s/xLIH3sKnjj+jV7yIX7NgQ9qxtw3NH2RV9btZ32wK++57HY+g6nT862W8m4dYdH/Q9CG0WPIo579fx6awmawOnsC2PvPJCo+j+fuzqP/0OBv34Oa5NW9I5SmjSfnsJ3L2Hy1xOxX7dMFnaB8SXl+CKeqCFSMsG7Qd/2cUWyZGqphjF3uqlHICFgFzirkuBqijtW4NPAp8o5S6arae1nqx1rqd1rqds3PJl5UL60pLKfqrMjI8muOHL9+vJDcnl01rtwLQvHVTu8d2swbfM5ipz00l/EQ4C0YvICO1ZAm4tdqxp64TbmfEs/cRcyKSd8c8T1ZqZonaqV6vJqHtGpJ8PpEja2+t/VuyE9I4s2IXv417GXdfL/q89aCh7dhbXnwq8ct3sufuF3Gt7E2zd6ff8J7KnZvQYOE44lfu5sQzX5IdHkdhdh7pB8+yf+Lr5JxPJGjaYDyC/O3QAws5O1H95cfID48i8T9flLgZp0re+D87i6xte0n7rri/98WtwJZDaVFA7Us+rwWcv+Rzb6AZsE4pBRAA/KaUGqK13gXkAmitdyulTgMNgF02jFdYydnTRUu106/xyz8ttShxcnd3s1tMJTH0/qE8+MyDnDt2jgVjFpCamGpoO/Z026QB3LnwXs4fi+C9cf8iI7HkQx9dxt26k67/lh6dSNLJaPyaBeNe2Yucm9jo0Bbt2FtOVAIZJ6LwaR6CaxVv8q8zFFitbxugaAXalQqz80jde5rqg8LwbhZMdniczWK+GU6eHlQIKfp1VW9/8QmN/wuP4P/CI6R88QsJLxe/Hsgl0A/nKr54dmxNvSMri72m5scvAxD/7w9I/fIXK0RvX4VlbGNaW7BlYrQTqK+UCgGigdHAxa1utdapQLW/P1dKrQPmaq13KaX8gCStdYFSKhSoD5yxYazCinZu3UN+vomg0Nq4urqQn2+67Hz9RnUBiI48X9ztZcLIaSOZtGASpw+d5slxT5KWXLLEwFrt2FPvqUMYMn8sUYfP8n/jXyIzueTzYVzcXGk3vBuFBYVs+77sT7q+norVKwOgS7ns2lrt2JtbgDnuG6xMdHJzBaBC1eI3tP37eOEV7wtG0nn5pC5dXuw5tyb1cG9Sn+zdh8g7G0nOvmsPsxWmpF+zHY92zakQXIvMDTswxSWSd+qcNUIXNmCzxEhrbVJKzQBWAs7AJ1rrw0qp54FdWuvfrnN7d+B5pZQJKACmaq3L3jaxgIuLC6GhQZhMJs6cKX5Tu/LKxcWZ2sG1MJlMRJ77ZzlqSlIqy/+7iiEjB/DQnMm8fclfV51vC6Nrz46kpaazcc1WI8K+oTGzxjBh7gROHjjJk+OevO6wl7OLM4FBgZhMJi6EXz6f4GbaKStun3kng+bcRcSB07w/4aXrDp85uThTLag6BfkFJEbEFntNq4EdqejrxaG/dpf5Sde+dQPJS8siK/6Kip5SdHxsJJ5+lYjZeYLc1KJ9uZxcnPEJ8qfQVEDaJZWPm22nrPCsVwNTaiZ5xcRdd/5duPn5krLjOCbzz4RyccYjuDo6v4Ds8H++/ynbjlLn/v7UnNCHqC/+IvdC8sVzVXu1wjesIQXZeaTuPGGXfllC5+YRv/CtYs9VmT4e9yb1Sf911WWPBFHubrgE+qNzcjDFxANguhB/zXb8X5xDheBapHz+8y39SJDyXy+y8c7XWutlwLIrjhX70C2tdY9LXv8E/GTL2K7njjtuZ8iQfgBUr+4HQIcObfnoozcASEhIYsGCFwGoWTOAAwfWEh4eScOGXUrcTlnRe8Bt9BnQA4Bq/lUBaNWuOf/+zzMAJCel8OqzbwNQPdCf5VuWEh1xnt7thl7WzssLF9GiTVOmPXo/7Tq15uDeI9SoFUCfgT0oKCjk6UdfJD2t7CUKvUf2ZsLcCRSYCji04xBDJw296prYyFj+Wlo0ibhqQFUWr11MbGQsE7tMLHE7ZUH7Ed0ZNOcuCkwFnNl5nO4TB1x1TVJUPDuWrgfAN6AKT65+k8SoeJ7vOrPYNv+edF1Wd7q+VFCPFnR+cgzntx8nLTyWnOQMPPwqUbNjIyoFVSczNoU185ZcvL5iQGXGr3uNtMh4vuj8SInbKSuq9WpF/YXjSN52lOxzseQnZ1DBrxKVOzXGMziA3Nhkjsz5Zyd8t8AqdNm8iOyIODa1/+f7H/v7dhLXH6DqbS3ovOlN4pbtJDcuBa8GNanWtw3KyYmTL35zU89dK4vcmzek5uevkb1jv6w+K2fkkSDFaNmyKRMmXL4FfGhoEKGhQQCEh0dalNBYqx17atysAcNHD77sWJ3gWtQJrgVAdMT5i4nR9SQlJHN3/4lMe3QSfQb0oGXb5mRlZLJ+1WYW/+cz9pdi4zRbCqhdtLOvs4szwycPL/aaA1sP3DChsVY79lS1dtFkWGcXZ3rcP7DYa05uO3IxMbqR6nVrUDes0S0z6Tpy02EOf7OWwHYNqNakDm4+nuRn5ZJy9gLHf/qZ/Z+uJDflxhPQrdWOvSVuOIjnl6vxDWuId5MgXCpVpCArl6zTMZz+8UcilizHZEncWrN37MvUntSP6sM64z+wPU4ebphSMkhYvZeIj1aQtL5k2z4I4znCPkaqrD3hu6Tc3euUj46UULBP2XzEgD2EuvsZHYKh6juV7ccr2Fr9Asf++65hXvGP8XAUIVVvnY1ibaHekZXFrQC3mS41e9ntd+3m6DV27dvfHPsdRQghhBAWc4SKkTxEVgghhBDCTBIjIYQQQggzGUoTQgghhEXKy7zk65GKkRBCCCGEmVSMhBBCCGERmXwthBBCCOFApGIkhBBCCItoqRgJIYQQQjgOqRgJIYQQwiKyKk0IIYQQwoFIxUgIIYQQFpFVaUIIIYQQDkQqRkIIIYSwiMwxEkIIIYRwIFIxEkIIIYRFZI6REEIIIYQDkYqREEIIISwiO18LIYQQQjgQSYyEEEIIIcxkKE0IIYQQFimU5fpCCCGEEI6j3FSMTIUFRodgqOyCXKNDMEyGA/cdIEnlGR2CoRKcnI0OwVC+zq5Gh2AozyRvo0MwVD07fz2ZfC2EEEII4UDKTcVICCGEELYlc4yEEEIIIRyIVIyEEEIIYRGZYySEEEII4UCkYiSEEEIIi8gcIyGEEEIIByIVIyGEEEJYROYYCSGEEEI4EKkYCSGEEMIiMsdICCGEEMKBSMVICCGEEBaROUZCCCGEEA5EEiMhhBBC3HKUUp8opeKUUoeucb6HUipVKbXP/LHQknZlKE0IIYQQFtG60OgQLvUZ8C7wxXWu2ai1HnwzjUrFSAghhBC3HK31BiDJ2u1KYiSEEEIIixSi7fahlJqilNp1yceUEoTcSSm1Xym1XCnV1JIbZChNCCGEEGWO1noxsLgUTewBgrTWGUqpgcCvQP0b3SQVIyGEEEJYRGtttw8rxJqmtc4wv14GuCqlqt3oPkmMhBBCCFHuKKUClFLK/DqMopwn8Ub3yVCaEEIIISxSWIY2eFRKfQv0AKoppaKAZwBXAK31B8BIYJpSygRkA6O1BaUoSYyEEEIIccvRWo+5wfl3KVrOf1MkMSqhO+8cRPduHWnVsiktWjTBx8ebr7/5iXvvm2V0aKUy8I6+dOjSlibNGtG4WQO8vb345cc/mD31iZtqZ9Pe5dSuU7PYc3GxCbRv0ssa4RrCp7IP3fp3pVPvDoQ2CsEvoBr5+fmcOXaW5d+vZNn3K6wyPm5vXr5etO3fkVY921K7UR0qB1TBlGci8ngEG39cw4Yf1ljcrzc3fYBfbf9iz6XEJTOz/f3WDN3u+swfTY0WIVQNCcSzijemnDxSohM4tnI3Oz7/k+yUDKNDLJHWT95NlRah+NQNwK2yNwU5eWRGJxC5YjfHP11FXrJl/Rq2fRFetf2KPZcdl8JPrWZYM2zD+Y3sToN3i977Tz36PrHfrDY4Itu5Fd/bbpYkRiX0xIKHadWyKenpGURFx+Dj4210SFYxY84DNG3eiIyMTC6cj8Xb26vEbaWmpvHJB19fdTwrM6s0IRqux+DuzH35ERIuJLB3yz7WRcdR2a8y3Qd0Y94bc+nQK4yFU54zOsybFjaoMxNfmkpybBJHtx4iMToeHz9f2vXryORXp9OiRxvemfaaxe1lpmay8pM/rjqem5VjzbAN0en+AcQcOseZTQfJTEjD1dONWq3r0fPREbQd25Mlw54hLcbq26vYXKMHBpB08BwxGw6Rk5CGi6cbfm3q0XLuCOqP68mKO54l67xl/cpLzeTYkpVXHc/PvPW//5eqUKMqoS/eT0FGNs5eHkaHI6xAEqMSmjv3WaKiYzh16iy3de/E6r+WGh2SVbzw1GvEnI/l3JkIOnZpx/e/fVLittJS03nr1fetGF3ZEHUmivn3PcXWv7Zd9tfTRy9/zIf/e48eg7pz28BurF+20cAob96Fs+d5c9JL7Fuz+7J+/fjq1zz731cIG9iJdgM6smv5Novay0rL5Je3vrdVuIb6d7PJmHLzrzre67FRdJ8xjG7Th/C/pz6zf2Cl9H3DBygspl8t542i+cNDaTpjCDuf+MyitvLSsjjwxs9WjrDsqf/WdPKT00latp2aDw01OhybK3SAipGsSiuhdeu3cOrUWaPDsLqtm3Zy7kyE0WGUaXs272PLqq1XlZST4pP575dFFZJWnVoaEVqpHNlyiL2rd13Vr9T4FNZ8/ScAjTs2MyK0Mqe4pAjg8B/bAagSHGDPcKymuKQIIPz3on75hFa3ZzhlXuDkgVTq2oxTs9+jICvX6HCElUjFSNiMW4UKDB81iBq1AsnKzObYkRNs37KbwsIy9awdqzLlmwAoKCgwOBLrKjAV9avQZHm/XN1c6Ty8O1Vr+JGblUPksXCObT+CLsff/4Z92gAQeyzS4Eisq1bf1gAkH7G8X84VXAm5swueNatiysol5WgEcduOoQvLR8XBo35Ngp4cR8xHy0jbdpRKXZsbHZJd6DK0Ks1WDEmMlFL9gbcBZ2CJ1vrlK87fB7wGRJsPvau1XmLXIEWp+Qf48dYH/77sWMS5KObOfJrtW3YbFJXtODs70X9kXwC2r91pcDTW4+TsRNc7ewBwYP1ei+/z9a/MtLdmX3YsLuICH819l2Pbj1gzRMN0njKQCp7uuHl7UqNFCEFhjbhwJJxN//eb0aGVSuOpA3Gt6I6rtwdVW4bi36EhyYfDOfzu7xa34VHdly7vTrvsWHp4HFsfWUzctmPWDtm+nJ1o8O4s8qITCP/3N0ZHI6zM7omRUsoZeA/oC0QBO5VSv2mtr3yn/F5rXb6WLjiQH7/5Lzu37eHEsVNkZGRRJ6gW904ezdh7R/L59//H8P4TOHr4hNFhWtWDTzxAaONQtq7exs71u4wOx2runj+B2o2C2LdmNwc37LPono0/ruH4ziNEnYgkJyMb/zoB9Ll3AD3H9mXu50/z/PAFRBw9Z9vA7aDzA4Pw8ve9+PnJdfv5dc4HZCWlGxhV6TWZOhCPS/oVvWY/W2d/SK6F/Tr9/Qbith8n9XgU+Zk5eNXxp+HEvtQf35NeXz/GijueI+XIrTtkX2fOKCo2C+bgkKcpzMkzOhy7coRVaUbMMQoDTmmtz2it84DvgPI/Y83BvP3aB2zZuIOE+CRysnM4cewUT879F0v+70s8PD2YPW/ajRu5hYyYNJzRU+8i/GQ4/5r18o1vuEXcft9ABk4ZSvSpKD6Y/bbF9/3y9g8c2XKItIRU8nLyiDoRwWdPfsiKJb/j5uHG8Nl32zBq+3m9/XSeDRrHa22n8d2URVSu7cfUZS8R2CzY6NBK5adWM/iqxniWtniI9ZPewjvIn4F/vkiV5sEW3X/wzV+I3XyEnIQ0CrLzSD0exY75n3J08XJcPNxoMedO23bAhrxa16PWrDuJ/uB30neXrz/uRBEjEqOawKUD1VHmY1caoZQ6oJRaqpSqXVxDlz55t7Aw0xaxCiv76rMfAOjQqa3BkVjP8HuH8vALMzh7/BwPj5pDesqtXS34W597+jPhuclEnYjg36MXkpla+r15Vn9VtHy7YYcmpW6rLMlMSOPYyl18OeEVPHy9GP7mVKNDsoqchDQiV+xi9eiXcavsRee3HyxVeye+WANA9Q4NrRGe/Tk70eCdmWSfOU/EK98ZHY2wESPmGKlijl1Zm/sd+FZrnauUmgp8Dly1I+ClT951qVCz/Nf3yoHEhKI9UDw8y8d+H6Mm38nM56Zz5ugZZt/9GCmJKUaHZBX9Jg1m/DOTiDwWzstjnyUtMdUq7f7djpuHm1XaK2tSoxOIPxVNYNNgPCt7kWXhhohlXWZ0Iqkno6nSLBi3Kl7kJpWsX7kJaQC4eN6a33/niu541Cv6O75zRPGJUb03p1HvzWmcX/wHZxd+Zsfo7KMsPRLEVoxIjKKASytAtYDzl16gtb70IW8fAa/YIS5hB23aFS1jjwyPMjiS0hv70GimPvkAJw6dZM7ox0lNTjM6JKsYNHU4oxdM4NzhM7wy7jkykq1XAavfpqhSEB8Za7U2yxpv/8oAFBaUr9V3HtWL+qVL0a9qbesBkB4Rb5WY7E3nmYj9+q9iz1VsHopXi1BStx0l53S0DLPdwoxIjHYC9ZVSIRStOhsNjL30AqVUoNY6xvzpEOCofUMUlnBxcSEopBb5+SYizv2T6NRvWJe42HhSUy5PFGrWCuT5VxYA8MuP/7NrrNZ2z+zxTH5sIsf2H2fO2HnlZvhs6KxRjJwzhjMHTvHq+OevO3zm7OKMf1AABfkm4iL+SXRq1q9NSlzyVfdWrenHPc9PBmDzLxts0wE7qFY3kJy0LDLiL6+iKaXoOXckXn6ViNh1gpy0W2uHd596geSlZpFzRb9QipaPj8TDrxJxO0+Ql1rUL+XijHewP4X5BWSEx128vFKDmmTHpZCXcvn0hoo1q9L+xXsBOPvTZtt2xkYKc/I4NeeDYs/VnnsXXi1Cif9hnTwS5BZn98RIa21SSs0AVlK0XP8TrfVhpdTzwC6t9W/ALKXUEMAEJAH32TvOGxkypB9Dh/QHIKB60TOBOnZoy8dLFgFFQ0aPz3/BsPhK6vaBPbl9YNGopZ9/NaCoyvP6u0V9SU5M4cVn3gAgINCfNdt+IzIimq6tB1xsY9DQ25n28CS2bdpJZEQ0GRmZBAXXplffbrh7uLPmzw0sfvcz+3bMivqPup3Jj03EZCrgwI6DjJw0/KprYqJiWfHD1Y9DKMu6jujByDljKDAVcGLHUW6fOOiqaxKi4ti4dC0AlQOq8Oqad4iPjOPRrv/MqQkb1JnB04ZzdNsh4iPjilalBQXQqlcbKri7sW/NbpYt/q/d+mVt9W5rSd8nxhC+4xjJ4XFkJWfg5edDUIfGVAmqTnpcMr/Pv/V2F6nRowVtnh5D7LbjZITHkpucgbtfJap3bIR3cHWyY1PYPveffnkGVGbIhtfIiIzn1w6PXDwedEcHmk4fzIUtR8mIiMeUmY1XUHVq9m6Fi0cFov/ax9EPbu0/jET5Zsg+RlrrZcCyK44tvOT1AmCBveO6Ga1aNuXee+667FjdusHUrRsMwLlzkbdkYtSkWSNGjbl8kWBQSG2CQopGPyMjoi8mRteyddMOQusF07RFI1q3b4Gnpwdpqens3L6Xn3/4g5+/t3wvlLIosHbRrsYuLs7c9cDIYq/Zu2XfLZcY+dUu2tXY2cWZ/pPvKPaao1sPXUyMruXo1oMEhtYgqGkI9Vo3xM3Tjay0TE7sPMamn9ez+ed11g7drs5sOsTub9dSp20DAhoH4e7jSV5WLolnY1j38ya2f7qS7NRbbzFIzMbDnPx6LX7tG1C5aR0q+Hhiysol/cwFDrzxM8c+XnlVFag4FzYfwaduIJWbBeHXth4unm7kpWURv/M4Z5Zu5uzSTXbojbAVR3gkiCovZTFHn3xd07uq0SEYJsi9+Kd4O4ogl0pGh2CoupSPifwlVS+/uPUsjiOksHw9lPZmdbmw1K4/AFW869vtd21S+klDfrjlkSBCCCGEsEh5KaZcjzxEVgghhBDCTCpGQgghhLCII+xjJBUjIYQQQggzqRgJIYQQwiIyx0gIIYQQwoFIxUgIIYQQFnGEfYykYiSEEEIIYSYVIyGEEEJYRMuqNCGEEEIIxyGJkRBCCCGEmQylCSGEEMIiMvlaCCGEEMKBSMVICCGEEBaRDR6FEEIIIRyIVIyEEEIIYRFZri+EEEII4UCkYiSEEEIIi8gcIyGEEEIIByIVIyGEEEJYRCpGQgghhBAORCpGQgghhLBI+a8XScVICCGEEOIi5QjjhfaglJqitV5sdBxGkf5L/x21/47cd5D+O3r/yyOpGFnPFKMDMJj037E5cv8due8g/Xf0/pc7khgJIYQQQphJYiSEEEIIYSaJkfU4+hiz9N+xOXL/HbnvIP139P6XOzL5WgghhBDCTCpGQgghhBBmkhgJIYQQQphJYlRKSqnaSqm1SqmjSqnDSqmHjY7JnpRS7kqpHUqp/eb+P2d0TPamlHJWSu1VSv1hdCz2ppQ6p5Q6qJTap5TaZXQ89qaU8lVKLVVKHTO/B3QyOiZ7UUo1NH/f//5IU0rNNjoue1FKPWJ+zzuklPpWKeVudEzCOmSOUSkppQKBQK31HqWUN7AbGKa1PmJwaHahlFJARa11hlLKFdgEPKy13mZwaHajlHoUaAf4aK0HGx2PPSmlzgHttNYJRsdiBKXU58BGrfUSpVQFwFNrnWJ0XPamlHIGooEOWutwo+OxNaVUTYre65porbOVUj8Ay7TWnxkbmbAGqRiVktY6Rmu9x/w6HTgK1DQ2KvvRRTLMn7qaPxwm21ZK1QIGAUuMjkXYl1LKB+gOfAygtc5zxKTIrDdw2hGSoku4AB5KKRfAEzhvcDzCSiQxsiKlVDDQGthuVE/iVQAAByVJREFUbCT2ZR5K2gfEAau01o7U/7eAx4FCowMxiAb+VErtVko52g7AoUA88Kl5KHWJUqqi0UEZZDTwrdFB2IvWOhp4HYgAYoBUrfWfxkYlrEUSIytRSnkBPwGztdZpRsdjT1rrAq11K6AWEKaUamZ0TPaglBoMxGmtdxsdi4G6aK3bAAOA6Uqp7kYHZEcuQBvgfa11ayATmG9sSPZnHkIcAvxodCz2opSqDAwFQoAaQEWl1HhjoxLWIomRFZjn1vwEfK21/tnoeIxiHkZYB/Q3OBR76QIMMc+z+Q7opZT6ytiQ7Etrfd783zjgFyDM2IjsKgqIuqRCupSiRMnRDAD2aK1jjQ7EjvoAZ7XW8VrrfOBnoLPBMQkrkcSolMyTjz8Gjmqt3zQ6HntTSvkppXzNrz0oesM4ZmxU9qG1XqC1rqW1DqZoKGGN1tph/mpUSlU0LzjAPIR0O3DI2KjsR2t9AYhUSjU0H+oNOMSiiyuMwYGG0cwigI5KKU/z74DeFM0vFeWAi9EBlANdgAnAQfM8G4AntNbLDIzJngKBz82rUpyAH7TWDrds3UFVB34p+r2AC/CN1nqFsSHZ3Uzga/Nw0hlgosHx2JVSyhPoCzxodCz2pLXerpRaCuwBTMBe5NEg5YYs1xdCCCGEMJOhNCGEEEIIM0mMhBBCCCHMJDESQgghhDCTxEgIIYQQwkwSIyGEEEIIM0mMhLAxpVTGja8q9dd4XinVp4T3tlJKDbzGuR5KqVTzIy+OKqWeKV2kpaeUelYpNdf82l0ptaosxCWEKB8kMRLiFqeUctZaL9Ra/1XCJloBxSZGZhvNj7xoB4xXSrUt4dexiCpyw/cm895BPwG7tdbP2TImIYTjkMRICDsxV1/WKaWWKqWOKaW+NicBA5RSP1xx3e/m1+8rpXYppQ4rpZ675JpzSqmFSqlNwCil1GdKqZHmcwuVUjuVUoeUUovNO/Ni/tqvKKV2KKVOKKW6mZOL54G7lVL7lFJ3Xyt+rXUmsBuoa67UfKqUOmiuJvU0f41lSqkW5td7lVILza9fUEpNNr9+zBzfgb/7pJQKNlek/o+iTfNq3+Cf04Wix7Cc1FpffD6ZUupX8wNtD1/6UFulVIZS6g2l1B6l1GqllN8l/yZvKaW2mP+9wszHw8zH9pr/2/DKAIQQ5ZMkRkLYV2tgNtCEoqezdwFWUfR4gb+fzH438L359ZNa63ZAC+C2v5MOsxytdVet9XdXfI13tdbttdbNAA9g8CXnXLTWYeYYntFa5wELge+11q201t9zDUqpqkBH4DAwHUBr3ZyiR0J8rpRyBzYA3ZRSPhTtCNzFfHtXYKP6//buJ8SqMozj+PeXLgIn20QtipgWmeSm1BZGSrUQoloEYVAbsdq0kBbSMiQhoxbtxAiifxRSQYWRuXFysqZMy0zQTTBYQhBNgykE6q/F+xzmevF6Z1qITr/PZs59z3nf85wDAw/Pe+CR1gK30nqq3QGs0Ezj2duAt23faXtSrVv9ygHhPAecsf1s3/gG2yto1a2NFTPAIlo/r+XAl0Dv1tsi23cDzwBv1NhRYE1Vyp4HXhz0XiJifkliFHFpfWf7V9vngB+BUdtngF3Aw5IWAg8Cn9T16yQdpLUcWEZLqDqDkpj7JH0r6TBwf83rdE2ODwCjs4x5taQfgN3AS7aP0BKddwBsHwUmgSXAOLCmzn8GjFTbiFHbx2j91NbW8xwEltISJYBJ2xPdTW0/Zfv7ATF9BayStKRvfKOkQ8AErerUrX2Omff1bsXXeb/utxdYrNb771rgA0k/A69y/juMiHksvdIiLq1/eo7PMvM/uINWhfkT2G/7pKRbgE3AXbanJL0JXN0z/1T/4lW12QastH1c0ua+Od39e+89zLjth/rGNODa/bRqzS+0Sth1wNO0RKybt9X2a31xj3KB57mIvcBbwOeSVts+IeleWhPjVbZPSxrj/Gfv5QHH3e8twB7bj1RsY3OILSKuYKkYRVwexoDltCSiq2wspiUL05JuAB6YxTpdIvCHpBHg0VnMOQlcM6doW2LyBEBVbW4GjtXW3HFgHa1qM05L7sZr3hfAhooNSTdKun6O9wbA9kfAK8CunirPVCVFS2nbfp2rmHkXj9MqTp3HKpZ7gGnb07XWb3V+/X+JLyKuTEmMIi4Dts8CO2nJz84aO0TbcjpC+/Zl3yzW+Qt4HTgMfEyr4AyzB7h92MfXfbYBC2q7bgew3nZXjRoHfrd9uo5vqr/Y3g28B3xTcz9kQFI25Bsjar3ttO3BT2nJ5UJJP9EqPhM9l54Clkk6QNtefKHn3JSkr4HtwJM19jKwVdI+YMGQdxER84js/ipyRMT8Iulv2yMXGB8DNl3kW6aI+J9JxSgiIiKipGIUERERUVIxioiIiChJjCIiIiJKEqOIiIiIksQoIiIioiQxioiIiCj/AqEnivTo1zeSAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a22299048>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p0_lab = [str(int(100*p)/100) for p in vec_p0] \n",
|
|
"th_lab = [str(int(100*th)/100) for th in vec_theta]\n",
|
|
"k_lab = [str(k) for k in vec_kappa] \n",
|
|
"fig, ax = plt.subplots(figsize=(10,10)) \n",
|
|
"sns.heatmap(mat_return_ratio.T,yticklabels=th_lab, xticklabels=k_lab, annot=True, annot_kws={\"size\": 20},ax=ax)\n",
|
|
"plt.yticks(rotation=0)\n",
|
|
"plt.xlabel('Invariant Power: Kappa')\n",
|
|
"plt.ylabel('Funding Pool Fraction: Theta')\n",
|
|
"plt.title('Hatch Return Rate: Rho')\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5,1,'Funding Pool Funds at Launch (Millions of xDAI)')"
|
|
]
|
|
},
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a224c9be0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"d_lab = [str(int(100*d)/100) for d in vec_d0] \n",
|
|
"sns.heatmap(vec_d0-mat_R0.T,yticklabels=th_lab, xticklabels=d_lab)#, annot=True)\n",
|
|
"plt.yticks(rotation=0)\n",
|
|
"\n",
|
|
"plt.xlabel('Initial Fundraise: d0 (Millions of xDAI)')\n",
|
|
"plt.ylabel('Funding Pool Fraction: Theta')\n",
|
|
"plt.title('Funding Pool Funds at Launch (Millions of xDAI)')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5,15,'Intial Raise d0 (Millions of xDAI)')"
|
|
]
|
|
},
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x1a22c0b4a8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"d_lab = [str(int(100*d)/100) for d in vec_d0] \n",
|
|
"sns.heatmap(mat_R0.T,yticklabels=th_lab, xticklabels=d_lab)#, annot=True)\n",
|
|
"plt.yticks(rotation=0)\n",
|
|
"\n",
|
|
"plt.title('Initial Reserve: R0 (Millions of xDAI)')\n",
|
|
"plt.ylabel('Funding Pool Fraction: Theta')\n",
|
|
"plt.xlabel('Intial Raise d0 (Millions of xDAI)')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(0.5,15,'Intial Raise d0 (Millions of xDAI)')"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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\n",
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"<matplotlib.figure.Figure at 0x1a22a6cc18>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sns.heatmap(mat_S0.T,yticklabels=p0_lab, xticklabels=d_lab)#, annot=True)\n",
|
|
"plt.yticks(rotation=0)\n",
|
|
"\n",
|
|
"plt.title('Initial Supply: S0 (Millions of Tokens)')\n",
|
|
"plt.ylabel('Hatch Sale Price: p0 (xDAI per Token)')\n",
|
|
"plt.xlabel('Intial Raise d0 (Millions of xDAI)')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3",
|
|
"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": "3.6.4"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|