From c6c732de3a8ada240a92401687b1c61c6c4f9fac Mon Sep 17 00:00:00 2001 From: Andrew Clark Date: Wed, 13 May 2020 09:42:36 -0400 Subject: [PATCH] removing excessfolder --- .../cic_initialization-checkpoint.ipynb | 1034 ----------------- Theory/CICecosubsystem.jpeg | Bin 273755 -> 0 bytes Theory/CICecosystem.jpeg | Bin 1075594 -> 0 bytes Theory/CICinvariant.jpeg | Bin 146037 -> 0 bytes ...rootsEconomicsCICcontractconservation.jpeg | Bin 157090 -> 0 bytes Theory/cic_initialization.ipynb | 1034 ----------------- 6 files changed, 2068 deletions(-) delete mode 100644 Theory/.ipynb_checkpoints/cic_initialization-checkpoint.ipynb delete mode 100644 Theory/CICecosubsystem.jpeg delete mode 100644 Theory/CICecosystem.jpeg delete mode 100644 Theory/CICinvariant.jpeg delete mode 100644 Theory/GrassrootsEconomicsCICcontractconservation.jpeg delete mode 100644 Theory/cic_initialization.ipynb diff --git a/Theory/.ipynb_checkpoints/cic_initialization-checkpoint.ipynb b/Theory/.ipynb_checkpoints/cic_initialization-checkpoint.ipynb deleted file mode 100644 index 3e514dc..0000000 --- a/Theory/.ipynb_checkpoints/cic_initialization-checkpoint.ipynb +++ /dev/null @@ -1,1034 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import pandas as pd\n", - "import seaborn as sns\n", - "\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# CIC Initialization Notebook\n", - "\n", - "### Goals\n", - " - Define the Mathematics of the CIC Bonding Curve in formal terms\n", - " - Identify and make explicit the paramters\n", - " - Define the initial state as a function of the parameters\n", - " - Demonstrate the Bonding Curve Shape as a function of the parameters\n", - "\n", - "### Formal Foundations\n", - "For a detailed Treatment of properties of Bonding Curves see:\n", - "[From Curved Bonding to Configuration Spaces](https://epub.wu.ac.at/7385)\n", - "and subsequent Publications on the subject appearing in the Proceedings of IEEE ICBC 2020 and MARBLE 2020.\n", - "\n", - "### System Scope\n", - "Broad Mapping of the Grassroots Economics CIC Ecosystem including the CIC Users, the operators of the CIC Program and the underlying smart contracts:\n", - "![Conservation of Flow](CICecosystem.jpeg)\n", - "\n", - "Zooming in on the Bonding Curve Smart Contract Subsystem:\n", - "![Conservation of Flow](CICecosubsystem.jpeg)\n", - "\n", - "Explicit mapping of Conservation Equations which will regulate the supply of CIC tokens relative to xDAI reserves.\n", - "![Conservation of Flow](GrassrootsEconomicsCICcontractconservation.jpeg)\n", - "\n", - "### Questions to be Answered\n", - " - Choose Parameters which characterize the bonding curve mechanisms: $\\kappa$ and $\\phi$\n", - " - Choose the initial conditions for Supply $S_0$ and Reserve $R_0$\n", - " - Note that due to the Bonding Curve construction its initial conditions partially determine the systems properties." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Bonding Curve Mathematics" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Basic Definitions\n", - "- $R$ = xDai in Reserve\n", - "- $S$ = Total Supply of CIC tokens\n", - "- $P$ = Spot Price of the Bonding Curve$^*$\n", - "- $P \\cdot S$ = Market Cap implied by the Spot Price and Token Supply\n", - "- $\\frac{R}{P \\cdot S}$ = Reserve Ratio in the Liquidity Pool$^\\dagger$\n", - "\n", - "$^*$ The spot price is the limiting price for both the Bond-to-Mint and the Burn-to-Withdraw Mechanisms in the case with no fees. Realized prices account for slippage and fees, see references.\n", - "\n", - "$^\\dagger$ Bonding Curves such as the one being employed by the CIC systems are tools which enforce the Reserve Ratio to be a constant $\\rho \\in (0,1)$, also called the connector weight. In this work we work with the \"curvature\" $\\kappa = \\frac{1}{\\rho} = \\frac{P \\cdot S}{R}$ in order to align notation with associated academic work." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Invariance and Consequences\n", - "Consider the Conservation Function:\n", - "- $V(S,R) = \\frac{S^\\kappa}{R}$\n", - "- As a consquence, $P = -\\frac{\\partial V}{\\partial} = \\kappa \\frac{R}{S}\n", - "\n", - "In the absense of Fees:\n", - "- $V(S,R) = \\frac{S^\\kappa}{R}$ is constant\n", - "- $V(S,R) = V_0$ where $V_0 = \\frac{S_0^\\kappa}{R_0}$ where $S_0$ and $R_0$ are the initial Supply and Reserve, respectively.\n", - "\n", - "![Invariant](CICinvariant.jpeg)\n", - "\n", - "In the presence of Fees:\n", - "- $V(S^+,R^+) > V(S,R)$ for all admissible actions\n", - "- $V(S_t,R_t) > V_0$ for all $t>0$ where the index $t$ is an ordering of all transcations on the contract.\n", - "- Under the invariant enforcing logic with fees, the reserve accumulates relative to the supply, essentially violating the invariant, but in a manner guaranteed to increase $V$. A concept introduced formally in [A State-Space Modeling Framework for Engineering Blockchain-Enabled\n", - "Economic Systems](https://arxiv.org/pdf/1807.00955.pdf) which was presented at the International Conference on Complex Systems, May 2018.\n", - "- Formal properties such as this are implicit in designs being designed and developed in a range of DeFi applications including but not limited to Bancor, Uniswap, Balancer, Fairmint. Such properties will serve as the basis of any formal stability claims over compositions of DeFi subsystems in to higher order financial systems.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Conservation Function Enforcing Deposit-to-Mint with Fees\n", - " - Deposit $\\Delta R$ xDAI to mint $\\Delta S$ CIC tokens\n", - " - Apply Fee $\\phi$: $\\Delta R' = (1-\\phi) \\Delta R$\n", - " - Conservation equation: $V(R+ \\Delta R', S+\\Delta S) = \\frac{(S+\\Delta S)^\\kappa}{R+\\Delta R'} =\\frac{S^\\kappa}{R}$\n", - " - Derived Mint equation: $\\Delta S = mint\\big(\\Delta R ; (R,S)\\big)= S\\big(\\sqrt[\\kappa]{(1+(1-\\phi)\\frac{\\Delta R}{R})}-1\\big)$\n", - " \n", - "### Conservation Function Enforcing Burn-to-Withdraw with Fees\n", - " - Burn $\\Delta S$ CIC tokens to withdraw $\\Delta R$ xDAI\n", - " - Applying fee $\\phi$: $\\Delta R = (1-\\phi) \\Delta R'$\n", - " - Conservation equation: $V(R- \\Delta R', S-\\Delta S) = \\frac{(S-\\Delta S)^\\kappa}{R-\\Delta R'} =\\frac{S^\\kappa}{R}$\n", - " - Derived Withdraw equation: $\\Delta R = withdraw\\big(\\Delta S ; (R,S)\\big)= R(1-\\phi)\\big(1-(1-\\frac{\\Delta S}{S})^\\kappa \\big)$\n", - "\n", - "### Properties of the Parameters\n", - "- Require $\\kappa >0$; any $\\kappa \\in (0,1)$ is over reserved, $\\kappa =1$ results in a constant price $P=\\frac{R}{S}$ and is essentially a fully reserved system but may still be very useful when composed with other mechanisms (eg Pool tokens in Uniswap instances, the reserve in this case is a unit of liquidity which is the constant product mixture of eth and token), and when $\\kappa > 1$ the properties widely attributed to bonding curves hold. Additionally, the equations simplify significantly for $\\kappa=2$ which makes it an obvious choice when other considerations don't rule it out.\n", - "- Require $\\phi \\ge 0$. When $\\phi=0$ the system is completely discribed by $\\kappa$ and the associated invariant function as above. When $\\phi>0$ it adds friction limiting the conditions under which an agent might choose to swap. It is important to note that this friction compounds with the slippage induced by the conservation law. The slippage is related to the curvature $\\kappa$ via the first order condition for convex functions. \n", - "- Both the slippage and the fee add friction, for large transactions relative to the liquidity pool the slippage dominates the fee, but for small transactions relative to the liquidity pool the fee dominates the slippage. In the case where the distribution of transactions size is estimatable, it may make sense to position the fee based on how strong an effect is desired relative to slippage." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Initialization Equations\n", - "\n", - "- Input $R_0$ xDai to generate $S_0$ initial supply\n", - "- \"Hatch\" sale \"Price\" $p_0$ (xDai per token minted) determines the initial supply: $S_0 = R_0/p_0$\n", - "- The 'Connector Weight' in Bancor terms maps to the concept 'Reserve Ratio' $\\rho=\\frac{1}{\\kappa}=\\frac{R}{P \\cdot S}$\n", - "- The initial spot price $P_0$ once the curve is live is $\\kappa \\frac{R_0}{S_0}$\n", - "- Note that $\\frac{P_0}{p_0} = \\frac{\\kappa R_0/S_0}{R_0/S_0}= \\kappa$ is leverage applied in deploying the bonding curve.\n", - "\n", - "### Inputs from Stakeholder\n", - "- $R_0= 40000$ xDAI\n", - "- Conversion rate between USD and Kenyan Shilling is approximately 1:100\n", - "- assume $P_0 = 1/100$ in order to ensure spot price is the right order of magnitude.\n", - "- leverage rate from past discussions, considering $\\kappa =4$\n", - "- above implies $S_0 = 4 \\times 100 \\times 40000 = 160\\, Million$ for the initial supply of CIC tokens " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Functions" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "#value function for a given state (R,S)\n", - "def invariant(R,S,kappa):\n", - " return (S**kappa)/R\n", - "\n", - "#given a value function (parameterized by kappa)\n", - "#and an invariant coeficient V\n", - "#return Supply S as a function of reserve R\n", - "def supply(R, kappa, V):\n", - " return (V*R)**(1/kappa)\n", - "\n", - "#given a value function (parameterized by kappa)\n", - "#and an invariant coeficient V\n", - "#return a spot price P as a function of reserve R\n", - "def spot_price(R, kappa, V):\n", - " return kappa*R**((kappa-1)/kappa)/V**(1/kappa)\n", - "\n", - "#for a given state (R,S)\n", - "#given a value function (parameterized by kappa and phi)\n", - "#and an invariant coeficient V\n", - "#deposit deltaR to Mint deltaS\n", - "#with realized price deltaR/deltaS\n", - "def mint(deltaR, R,S, kappa, V, phi):\n", - " deltaS = (V*(R+(1-phi)*deltaR))**(1/kappa)-S\n", - " realized_price = deltaR/deltaS\n", - " return deltaS, realized_price\n", - "\n", - "#for a given state (R,S)\n", - "#given a value function (parameterized by kappa and phi)\n", - "#and an invariant coeficient V\n", - "#burn deltaS to Withdraw deltaR\n", - "#with realized price deltaR/deltaS\n", - "def withdraw(deltaS, R,S, kappa, V0, phi):\n", - " deltaR = (R-((S-deltaS)**kappa)/(V0))*(1-phi)\n", - " realized_price = deltaR/deltaS\n", - " return deltaR, realized_price\n", - "\n", - "#for a given state (R,S)\n", - "#given a value function (parameterized by kappa and phi)\n", - "#and an invariant coeficient V\n", - "#computed based on desired withdraw deltaR\n", - "#with realized price deltaR/deltaS\n", - "def withdrawR(deltaR, R,S, kappa, V, phi):\n", - " deltaS = S-(V*(R-(1-phi)*deltaR))**(1/kappa)\n", - " realized_price = deltaR/deltaS\n", - " return deltaS, realized_price" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Variable Declarations" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "R0 = 40 #thousand xDAI\n", - "kappa = 4 #leverage\n", - "P0 = 1/100 #initial price\n", - "S0 = kappa*R0/P0\n", - "p0 = R0/S0\n", - "phi = .01\n", - "\n", - "#initial value of conservation function\n", - "V0 = invariant(R0,S0,kappa)\n", - "\n", - "reserve = np.arange(0,500,.05)\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 (Thousands)')\n", - "ax1.set_ylabel('Supply (Thousands)', 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 xDAI per CIC 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,S0, alpha=.5)\n", - "ax1.scatter(R0,S0, color='red', marker='D')\n", - "# ax1.text(R0+.02*reserve[-1], .9*supp[-1], \"Initial Value R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n", - "# ax1.text(R0+.02*reserve[-1], .70*supp[-1], \"Initial Value S0=\"+str(S0)+\" million Tokens\")\n", - "ax1.text(-.4, .9*supp[-1], \"R0=\"+str(int(100*R0)/100)+\" thousand xDAI\")\n", - "ax1.text(-.4, .80*supp[-1], \"S0=\"+str(S0)+\" thousand CIC Tokens\")\n", - "\n", - "#ax1.hlines(S0,0,R0)\n", - "\n", - "# ax2.text(R0+.02*reserve[-1], price[25], \"Initial Value P0=\"+str(spot_price(R0,kappa,V0)))\n", - "# ax2.text(R0+.02*reserve[-1], price[25]/10, \"where P_hatch=\"+str(p0))\n", - "ax2.text(R0+.04*reserve[-1], price[25], \"P0=\"+str(spot_price(R0,kappa,V0))+\" where P_hatch=\"+str(p0))\n", - "ax2.scatter(R0,spot_price(R0,kappa,V0), color=color)\n", - "\n", - "plt.title('Bonding Curve with Conservation Function V = S^'+str(kappa)+'/R')\n", - "fig.tight_layout() # otherwise the right y-label is slightly clipped\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The figure above represents the base case as determined by the originally suggested values by the stakeholder." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax1 = plt.subplots(figsize=(10,5))\n", - "\n", - "cp = 100\n", - "color = 'tab:red'\n", - "ax1.set_xlabel('Supply (Thousands)')\n", - "ax1.set_ylabel('Reserve (Thousands)', 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 CIC 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], \"S0=\"+str(int(100*S0)/100)+\" Thousands of CIC tokens\")\n", - "ax1.text(S0*1.02, .95*reserve[-1], \"R0=\"+str(R0)+\" Thousands of xDAI\")\n", - "#ax1.hlines(S0,0,R0)\n", - "\n", - "ax2.text(S0*1.02, price[3], \"P0=\"+str(spot_price(R0,kappa,V0))+\" where P_hatch=\"+str(p0))\n", - "\n", - "\n", - "plt.title('Bonding Curve with Conservation Function 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": 5, - "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 (without fee)\n", - "burn_price=[withdraw(supply(r,kappa,V0)/1000, r,supply(r,kappa,V0), kappa, V0, 0)[1] for r in reserve]\n", - "\n", - "#realized price for depositing .1% more Xdai into the reserve (without fee)\n", - "mint_price=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0, 0)[1] for r in reserve]\n", - "\n", - "#realized price for withdrawing .1% of the Xdai from the reserve (without fee)\n", - "withdraw_price=[withdrawR(r/1000, r, supply(r,kappa,V0), kappa, V0, 0)[1] for r in reserve]\n", - "\n", - "#realized price for depositing .1% more Xdai into the reserve (with fee)\n", - "mint_price_fee=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0, phi)[1] for r in reserve]\n", - "\n", - "#realized price for withdrawing .1% of the Xdai from the reserve (with fee)\n", - "withdraw_price_fee=[withdrawR(r/1000, r, supply(r,kappa,V0), kappa, V0, phi)[1] for r in reserve]" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "#from IPython.display import Image\n", - "#Image(filename='slippage.jpeg')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "pdf = pd.DataFrame({'reserve':reserve, 'spot_price':price, '.1% mint_price':mint_price,'.1% withdraw_price':withdraw_price,'.1% mint_price w/fee':mint_price_fee,'.1% withdraw_price w/fee':withdraw_price_fee })" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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30.040.0000560.0000560.0000560.0000570.000057
40.050.0000660.0000670.0000660.0000670.000067
\n", - "
" - ], - "text/plain": [ - " reserve spot_price .1% mint_price .1% withdraw_price \\\n", - "0 0.01 0.000020 0.000020 0.000020 \n", - "1 0.02 0.000033 0.000033 0.000033 \n", - "2 0.03 0.000045 0.000045 0.000045 \n", - "3 0.04 0.000056 0.000056 0.000056 \n", - "4 0.05 0.000066 0.000067 0.000066 \n", - "\n", - " .1% mint_price w/fee .1% withdraw_price w/fee \n", - "0 0.000020 0.000020 \n", - "1 0.000034 0.000034 \n", - "2 0.000046 0.000046 \n", - "3 0.000057 0.000057 \n", - "4 0.000067 0.000067 " - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pdf.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pdf.plot(x='reserve')" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "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']\n", - "pdf['mint_slippage_fee'] = (pdf['.1% mint_price w/fee']-pdf['spot_price'])/pdf['spot_price']\n", - "pdf['withdraw_slippage_fee'] = (pdf['spot_price']-pdf['.1% withdraw_price w/fee'])/pdf['spot_price']" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[,\n", - " ]],\n", - " dtype=object)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pdf[['mint_slippage', 'withdraw_slippage']].hist()\n", - "pdf[['mint_slippage_fee', 'withdraw_slippage_fee']].hist()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:43: RuntimeWarning: invalid value encountered in double_scalars\n" - ] - } - ], - "source": [ - "#given V0 and kappa\n", - "R = 400\n", - "S = supply(R,kappa,V0)\n", - "p = spot_price(R,kappa,V0)\n", - "#sweep the transaction fraction\n", - "TXF = np.logspace(-6, 1, num=5000)\n", - "\n", - "#realized price for withdrawing txf of Xdai\n", - "withdraw_price2=[withdrawR(R*txf, R,S, kappa, V0, 0)[1] for txf in TXF]\n", - "withdraw_price2_fee=[withdrawR(R*txf, R,S, kappa, V0, phi)[1] for txf in TXF]\n", - "\n", - "#realized price for depositing txf more Xdai into the reserve\n", - "mint_price2=[mint(R*txf, R,S, kappa, V0,0)[1] for txf in TXF]\n", - "mint_price2_fee=[mint(R*txf, R,S, kappa, V0,phi)[1] for txf in TXF]" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "pdf2 = pd.DataFrame({'tx_fraction':TXF, 'spot_price':p*np.ones(len(TXF)), 'mint_price':mint_price2,'withdraw_price':withdraw_price2, 'mint_price_fee':mint_price2_fee,'withdraw_price_fee':withdraw_price2_fee })" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pdf2.plot(x='tx_fraction',y=['mint_price','withdraw_price','mint_price_fee','withdraw_price_fee','spot_price'], logx=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "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']\n", - "\n", - "pdf2['bond_to_mint_slippage_fee'] = (pdf2['mint_price_fee']-pdf2['spot_price'])/pdf2['spot_price']\n", - "pdf2['burn_to_withdraw_slippage_fee'] = (pdf2['spot_price']-pdf2['withdraw_price_fee'])/pdf2['spot_price']" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "ticks=[10**k for k in range(-6,1)]\n", - "bound = .026 #need to figure out this analytically in terms of kappa and phi" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "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": 17, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,3))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\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 Fee\")\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks([10**k for k in range(-6,1)])\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": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'Transaction size as percent of the xDAI Reserve\\nnormalizd units: bonded/Reserve, withdraw/Reserve')" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,5))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage','bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With and Without Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks([10**k for k in range(-6,1)])\n", - "plt.xlabel(\"\"\"Transaction size as percent of the xDAI Reserve\n", - "normalizd units: bonded/Reserve, withdraw/Reserve\"\"\")" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(0.01, 4.475559505492301), (0.02509430066318874, 10.0)]" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,5))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "#ax.plot([ticks[0],ticks[-1]],[ticks[0]*phi,ticks[-1]*phi], 'k--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage','bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With and Without Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks(ticks)\n", - "plt.xlabel(\"\"\"Transaction size as percent of the xDAI Reserve\n", - "normalizd units: bonded/Reserve, withdraw/Reserve\"\"\")\n", - "axis = ax.axis()\n", - "ax.set(xlim=((1.0-(1.0-phi)**(1.0/kappa))*10, axis[1]), ylim=(phi, axis[3]))" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'Transaction size as percent of the xDAI Reserve\\nnormalizd units: bonded/Reserve, withdraw/Reserve')" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,3))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks(ticks)\n", - "plt.xlabel(\"\"\"Transaction size as percent of the xDAI Reserve\n", - "normalizd units: bonded/Reserve, withdraw/Reserve\"\"\")\n", - "\n", - "#axis = ax.axis()\n", - "#ax.set(xlim=(bound*.99, axis[1]), ylim=(phi, axis[3]))" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(0.01, 4.261370305570391), (0.02574, 10.0)]" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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YN29eufP2fM4SEhK4++67K1TGU2H06NF06dKFf//739VdFGOMMWcRG/VsKqwgUBw7dmyVnePPf/5zmWmSkpJISEjgsssuq/B5evbsSc+ePSt8fFX69ddfWbZsGdu3n9QqTMYYY0y5WaBYyZ6Y+wM/7j5YqXl2bBrCuCvOLTNdbm4uN910E2vWrKFt27a8++67LF++nAceeIDc3Fx69erFq6++Sp06dYiJieGmm25i7ty55OTkMGvWLNq3b09qaiqjR49m37599O7dG1Ut8XyPPPIIW7ZsIS4ujosvvpjnnnuOhx56iPnz5yMi/OMf/2DUqFFej120aBHjxo2jUaNGJCUlcfXVV9O5c2defPFFjh49yscff0yrVq0YP3489evX54EHHuCCCy4gPj6ehQsXkpGRwdSpU4mPj+fxxx/n6NGjLF26lEcffdTrOb/99lvuuecewBl8sXjx4hPKM3HiRD799FPGjx/Pli1b2LVrFzt37uShhx7i1ltvZdGiRTz++ONERESwceNGBg4cyJQpU/Dz8+OOO+5g1apVHD16lJEjR/LEE08AMG/ePO6//34iIyPp3r07W7du5dNPP+Xw4cPcddddrF+/ntzcXMaPH8+VV17p9bkaMmQIe/fuJS4ujsmTJ9O0aVPuvPNO9u3bR926dXnjjTdo3749+/bt489//jM7duwAYNKkSfTr16/M+8YYY4wpiTU9n0E2btzIbbfdxrp16wgJCeGFF15gzJgxzJgxozAgefXVVwvTR0ZGsnr1au644w4mTpwIwBNPPEH//v1Zs2YNw4cPLww6vHn22Wdp1aoVSUlJ/Otf/+LDDz8kKSmJtWvX8tVXX/Hggw+yZ8+eEo9fu3YtL774IuvXr+e9995j06ZNrFy5kltuuYXJkyd7PSY3N5eVK1cyadIknnjiCWrXrs2TTz7JqFGjSEpKKjEwnThxIq+88gpJSUksWbKEoKCgUp/LdevW8dlnn7F8+XKefPJJdu/eDcDKlSt5/vnnWb9+PVu2bOHDDz8E4JlnniEhIYF169bx7bffsm7dOrKysrj99tuZP38+S5cuZd++fYX5P/PMM1x44YWsWrWKhQsX8uCDD3L48GGvZfnkk08Kn+cBAwZw2223MXnyZBITE5k4cWJhje4999zDfffdx6pVq5gzZw633HJLqddojDHGlMVqFCuZLzV/VSU6OrqwBumGG27gqaeeIjY2lrZt2wJw00038corr3DvvfcCcPXVVwPQo0ePwoBn8eLFhf8fNmwYYWFhPp9/6dKljB49Gn9/fxo1asT555/PqlWrGD58uNf0vXr1okmTJgC0atWKIUOGANC5c2cWLlzo9RjPMicnJ/tctn79+nH//fdz/fXXc/XVVxMVFVVq+iuvvJKgoCCCgoIYNGgQK1euJDQ0lN69e9OyZUvA6Te4dOlSRo4cycyZM3n99dfJzc1lz549/Pjjj+Tn59OyZcvCiahHjx7N66+/DsCCBQv45JNPCgP0rKwsduzYQYcOHUotV2ZmJsuWLePaa68t3JadnQ3AV199xY8//li4/eDBgxw6dIjg4GCfnydjjDHGkwWKZ5DyzmdXp04dAPz9/cnNza1wPgVKa6Yu7fwAfn5+hY/9/PyKlMfbMcXLXJZHHnmEYcOGMW/ePPr06cNXX31FYGBgiemLPwcFj71t37ZtGxMnTmTVqlWEhYUxZswYsrKySn0+VJU5c+bQrl07n68BID8/n9DQUJKSkrzuW758eZm1pcYYY4yvrOn5DLJjxw6WL18OwAcffMBFF11EcnIyv/zyCwDvvfce559/fql5DBw4kOnTpwMwf/580tPTS0wbHBzMoUOHihw7Y8YM8vLy2LdvH4sXL6Z3794ne1llKl4Ob7Zs2ULnzp15+OGH6dmzJz///HOp6f/3v/+RlZVFamoqixYtolevXoDT9Lxt2zby8/OZMWMG/fv35+DBg9SrV48GDRrw22+/MX/+fADat2/P1q1bC2s+Z8yYUZj/0KFDmTx5cmEwuWbNGp+uNSQkhNjYWGbNmgU4AefatWsBpy/jyy+/XJjWWzBpjDHGlIcFimeQDh068M4779ClSxfS0tK47777mDZtGtdeey2dO3fGz8+vzFHE48aNY/HixXTv3p0FCxbQvHnzEtNGRETQr18/OnXqxIMPPsiIESPo0qULXbt25cILL+S5556jcePGlX2ZJxg0aBA//vgjcXFxRYIxT5MmTaJTp0507dqVoKAgLr300lLz7N27N8OGDaNPnz489thjNG3aFIC+ffvyyCOP0KlTJ2JjYxkxYgRdu3alW7dunHvuudx8882Fzf9BQUFMmTKFSy65hP79+9OoUSMKpld67LHHyMnJoUuXLnTq1InHHnvM5+udPn06U6dOpWvXrpx77rn873//A+Cll14iISGBLl260LFjR1577TWf8zTGGGO8kfI2F57tevbsqQkJCUW2/fTTT2X2LTOnD8+R1p48R0b7KjMzk/r166Oq3HnnnbRp04b77ruvsotc7ew9YIwx1S8/X0lOPUzSzgzW7swgKeUAn/ylf6KqVnj+N+ujaEwVeuONN3jnnXc4duwY3bp14/bbb6/uIhljjDlD7M/MJmlHBmtTMgqDw4NZTv/9erX96Rx18ouEWI2ij0TkCuCK1q1b37p58+Yi+8702pTU1FQGDx58wvavv/6aiIiIUo9dv349N954Y5FtderU4fvvv6/UMhaYNm0aL774YpFt/fr145VXXqmS81WmL774gocffrjIttjYWD766KNqKpHvzvT3gDHGVLejx/JYv+uAW1OYQdKODHZlHAXA309o1yiYrtGhdIsOpWt0KK3PqY+/nyAiJ1WjaIFiOVnTszEnsveAMcZUnvx85Zd9mSTtyGDNTqe2cNNvh8jLd2K2qLCgIkFhp6YNCKrt7zWvkw0UrenZGGOMMaYa7TuUTdLODJJ2prtNyAfIzHaakEMCa9E1OpSLOrQiLjqULlGhNAyuU0aOlccCRWOMMcaYUyQrJ48fdh8kaWcGa3Y4gWFKutOEXMtPaN8kmKu6NaVbdBhxzUOJjaiHn1/F5jeuDBYoGmOMMcZUAVVle+oR1uxMJ2mH04T8456D5OQ5TchNGwTSrXkYN/WNIa556U3I1cUCRWOMMcaYSnDgSE7hQJM1O9NZuzOD9CM5ANSt7U+XqAb8qX9LujV3+heeE1LyCmE1hU24fYZITk6mU6dOp+x8EyZMqLK8L7vsMjIyMsjIyGDKlCmF2xctWsTll19e5vG+pqsqF1xwAQUDngqupSaaNWsWHTp0YNCgQdVdFGOMOe3k5OWzYdcB3luezP0zk7jw+UV0fXIBN721kklfb2J3xlGGdGzMP6/uzPx7BrB+/FD+e1tfHrm0PUPPbXxaBIlgNYoGyM3NpVat8t0KEyZM4G9/+1uVlGfevHmAE/xOmTKFsWPHVkq+FbnOk1VwLTXR1KlTmTJligWKxhhTBlVl94Est/k4nTU7Mli/6wDZufkARNavQ1x0KNd0j6JbdCidoxoQHBhQzaWuHBYoVrb5j8Cv6ys3z8ad4dJny0yWm5vLTTfdxJo1a2jbti3vvvsuHTt2JCEhgcjISBISEnjggQdYtGgR48ePZ/fu3SQnJxMZGcmQIUP45JNPOHLkCFu2bGHEiBE899xzXs/zyCOPcPToUeLi4jj33HOZPn06L7zwAm+99RYAt9xyC/fee6/XY5977jkCAwO5++67ue+++1i7di3ffPMNX3/9NdOmTeP9998nJiaGhIQEHnnkEbZs2UJcXBwXX3wxw4YNIzMzk5EjR7JhwwZ69OjB+++/j4jw+eefc++99xIZGUn37t0Lz1f8OidMmMCNN97I4cOHAXj55Zc577zzGDt2LJdccgnDhw9nxIgRhIWF8dZbbzF16lS2bdvG008/fcK1HD58mOuuu46UlBTy8vJ47LHHGDVqVJE0BdeSmZnJJZdcQnx8fJHXp27dusTExDBq1CgWLlwIwP/93//RunVr5s6dy9NPP82xY8eIiIhg+vTpNGrUiH379vH73/+e1NRUevXqxeeff05iYiKRkZG8//77vPTSSxw7doz4+HimTJmCv/+J/V2efPJJli5dyrZt2xg+fDjPPvssjzzyCIsWLSI7O5s777yzcHLwf/3rX8ycOZPs7GxGjBjBE088UdataIwxp7XD2bmsSzlQpG/h3kPZANSu5UenpiHc0KcFcdGhxEWHEhUWhEj1DTipStUeKIpIf6CNqk4TkYZAfVXdVt3lOh1t3LiRqVOn0q9fP26++eYizbbeJCYmsnTpUoKCgnj77bdJSkpizZo11KlTh3bt2nHXXXcRHR19wnHPPvssL7/8MklJSYX5TJs2je+//x5VJT4+nvPPP59u3bqdcOzAgQN5/vnnufvuu0lISCA7O5ucnByWLl3KgAEDTjjPhg0bCs+zaNEi1qxZww8//EDTpk3p168f3333HT179uTWW2/lm2++oXXr1icEa57XeeTIEb788ksCAwPZvHkzo0ePJiEhgYEDB7JkyRKGDx/Orl272LNnDwBLly7ld7/7ndfn7/PPP6dp06Z89tlnABw4cKDU59vb61OwTGBISAgrV67k3Xff5d577+XTTz+lf//+rFixAhHhzTff5LnnnuP555/niSee4MILL+TRRx/l888/5/XXXwecuQxnzJjBd999R0BAAGPHjmX69On84Q9/OKEsjz/+ON988w0TJ06kZ8+evP766zRo0IBVq1aRnZ1Nv379GDJkCJs3b2bz5s2sXLkSVWX48OEsXryYgQMHlnqtxhhzusjLV37Zm1k4Nc2aHc6che6UhcRG1qNf60jiokPp1jyU9o1DqF3r7Om5V62BooiMA3oC7YBpQADwPtCvOst1Unyo+asq0dHR9OvnPHU33HADL730Uqnphw8fTlBQUOHjwYMH06CBs9xPx44d2b59u9dAsbilS5cyYsQI6tWrB8DVV1/NkiVLvAaKPXr0IDExkUOHDlGnTh26d+9OQkICS5YsKbO8AL179yYqKgqAuLg4kpOTqV+/PrGxsbRp06bw2guCp+LXmZOTw1/+8heSkpLw9/dn06ZNAAwYMIBJkybx448/0rFjR9LT09mzZw/Lly8vsVydO3fmgQce4OGHH+byyy8/IdAtztvrUxAojh49uvDfgrWgU1JSGDVqFHv27OHYsWPExsYCzvNdsFrLJZdcQlhYGOCslJOYmEivXr0AOHr0KOecc06ZzynAggULWLduHbNnzwacoHfz5s0sWLCABQsWFL6WmZmZbN682QJFY8xpK+PIMdbsyGD1DqcJOWlnRuGchQ2CAugaHcrQcxsT1zyUuKhQwurVruYSV6/qrlEcAXQDVgOo6m4RCa7eIp2+ild7iwi1atUiP9/pQ5GVlVVkf0FgV6BOneMTePr7+5Obm+vTecuzuk9AQAAxMTFMmzaN8847jy5durBw4UK2bNni08oeJZWxtCp/z+v897//TaNGjVi7di35+fkEBjqdiZs1a0Z6ejqff/45AwcOJC0tjZkzZ1K/fn2Cg73fkm3btiUxMZF58+bx6KOPMmTIEB5//PESy+Ht9Snt/3fddRf3338/w4cPL+wuACU/36rKTTfdxD//+c8Sy1ASVWXy5MkMHTq0yPYvvviCRx991NaoNsaclvLylU2/HSoMClfvSGfrPqfrkb+f0L5xzZqzsCbyqe5URLqX9vgkHFPnW0/dfOuVkd6UYseOHSxfvhyADz74gP79+xMTE0NiYiIAc+bMqbRzBQQEkJPjDPkfOHAgH3/8MUeOHOHw4cN89NFHpdauDRw4kIkTJzJw4EAGDBjAa6+9Rlxc3AmBVHBwMIcOHSqzLO3bt2fbtm1s2bIFcK69JAcOHKBJkyb4+fnx3nvvkZeXV7ivb9++TJo0qbBcEydOLPU6du/eTd26dbnhhht44IEHWL16danl9Pb6FJgxY0bhv3379i0sa7NmzQB45513CtP279+fmTNnAk5NYHp6OuDUCM+ePZu9e/cCkJaWxvbt20stU4GhQ4fy6quvFr6mmzZt4vDhwwwdOpS33nqLzMxMAHbt2lWYvzHG1DTph4/xzc+/8fyCjVz3J0bgAAAgAElEQVT/5gq6PrGAS19cwt8/2sA3P++lZWQ9Hhzajg9u7cO6cUP47O4BPH1VZ67pEUWrhvUtSPTC1xrFO4BbS3lcUTNF5D9AqIjcCtwMvFEJ+Z6VOnTowDvvvMPtt99OmzZtuOOOO+jduzd/+tOfmDBhAvHx8ZV2rttuu40uXbrQvXt3pk+fzpgxY+jduzfgDGbx1uxcYMCAATzzzDP07duXevXqERgY6DUgi4iIoF+/fnTq1IlLL72UYcOGec0vMDCQ119/nWHDhhEZGUn//v3ZsGGD17Rjx47lmmuuYdasWQwaNKhIbeOAAQNYsGABrVu3pkWLFqSlpZUaKK5fv54HH3wQPz8/AgICePXVV0tMC95fnwLZ2dnEx8eTn59fGOiOHz+ea6+9lmbNmtGnTx+2bXO67o4bN47Ro0czY8YMzj//fJo0aUJwcDCRkZE8/fTTDBkyhPz8fAICAnjllVdo0aJFqeUC5zVLTk6me/fuqCoNGzbk448/ZsiQIfz000+FwWv9+vV5//33fW7SNsaYquJZW7h6u7PKydb9RWsLR3RrRvcWoXRvHkbz8Lpn7ICTqiTlaTaskgKIXAwMAQT4QlW/rNYClaFnz55aMEdegZ9++smnZlNz9kpOTubyyy/3GsAWjIyOjIz0Ka/s7Gz8/f2pVasWy5cv54477igc8FNd7D1gjKlq6YePsWanExSu3uFMZn34mNMqFFGvNt2ah9G9RSjdosPoGt2AurWru3ddzSAiiaras6LHl/ksihN+Xw+0VNUnRaQ50FhVV1b0pB55xwJLCoJDEQkSkRhVTT7ZvH08fz1gCnAMWKSq00/FeY05GTt27OC6664jPz+f2rVr88YbVglvjDmz5OUrG391awvd/oXbPGoLOzQJ5uruUVZbeAr4Em5PAfKBC4EngUPAHKBXJZx/FnCex+M8d1uF8xaRt4DLgb2q2slj+yXAi4A/8KaqPgtcDcxW1bkiMgOwQLGY+Ph4srOzi2x777336Ny5c6nHpaamMnjw4BO2f/3110RERFRqGataZVxLTExMic3hycnJ5SpPmzZtWLNmjc/pK/oaGmPMqZJ2+Bhr3KBw9fYM1qZkcKRYbeG1PaPo3jyMLlFWW3gqldn0LCKrVbW7iKxR1W7utrWq2vWkTy6SpKpxxbadVN4iMhDIBN4tCBRFxB/YBFwMpACrgNHAlcB8VU0Skf9T1d+XlX90dLTu3LkTcJZqA2dOuqZNmyIihIWFcc4555CXl8cvv/xywvERERFERkaSk5PD1q1bT9jfsGFDwsPDOXbsWGGfNE+NGjUiNDSUrKwsrwMVmjRpQkhICEeOHKGgnJ6aNWtG/fr1yczMZNeuXd6uj7p163Lw4MHCuQQ9tWjRgsDAQDIyMvjtt99O2B8bG0vt2rVJS0tj3759J+xv2bIlAQEB7N+/n9TU1BP2t27dGn9/f/bu3Vs4SMNTu3btAPj1119PmLdQRGjbti3gDDQpPhDG39+f1q1bA87UMwWTbhcICAigZcuWgFNrd/To0SL769SpQ0xMDOAEd8WDr6CgIJo3bw7A1q1bCweGFKhXr17h1D6//PJLkYE04Azeadq0KeAMJin+3mzQoAGNGzcGnDkZi6uue09V2b17N/n5+Vx00UUkJSV5nXB9woQJnHfeeSxbtszrqj6TJk0iLi6Or776yusE5//5z39o164dc+fO5fnnnz9h/3vvvUd0dDQzZszw2l909uzZREZG8vbbb/P222+fsH/evHnUrVuXKVOmFA4W8rRo0SIAJk6cyKefflpkX1BQEPPnzwfgqaee4uuvvy6yPyIionAw2aOPPlo4qKlAVFQU77//PgD33nvvCV0J2rZtWzjl02233VY4rVOBuLg4Jk2aBDhTL6WkpBTZ37dv38LR8Ndcc80J773Bgwfz2GOPAXDppZeecO9ffvnlhVM5FXzuebruuusYO3YsR44c4bLLLjth/5gxYxgzZgz79+9n5MiRJ+y/4447GDVqFDt37uTGG288Yf9f//pXrrjiCjZu3Oh1BP4//vEPu/c4fe49RThWtyHZwU0Jb9OdvNDmhbWFaD61D++lTuZu6hzazaW92/PkQ3cjInbvVfDea9iwYdU2PQM5bqBVMDK5IU4NY2XYJyLDVfUTN+8rgf0nk6GqLhaRmGKbewO/qOpW9zz/xQkSU4AoIIlSRoCLyG3AbeB8mSclJREXdzy+3bNnDxEREUWmbjHmbKCqZGdns2fPHho1alTdxTGnoczMzHLXqpvTy4EjOazemc6uiO5knBNGdv0mqL8zN+GR3BwGnFOf63pG89+XJ6BpO/DLP/4ju4F/K2tSrma+1CheD4wCugPvACOBf6jqrJM+uUgrnObepjiDWXYCf1DVE6tDypdvDPCpR43iSOASVb3FfXwjEA88DLwMZAFLfemjGBwcrD169Cj8hQfOJM4pKSknzFNozNkgMDCQqKgoAgLOjHVNzalVUEvk+ZlqTl+qSnLqERKS01i9I53E7els+s2ZXqugb2H35mGFf9HhZ+7SdzVFlQ9mUdXpIpIIDMYJ5q5S1Z8qesJieW8B+ohIfZygtexJ8yrG212oqnoY+OPJZh4QEFC4aoYxxhhztsjKyWPDrgMkbHeCwtXb00k9fAyAkMBadG8RxhVdmtIjJoyuUaHUq2N9C083vox6Dgf2Ah94bAtQ1ZySjyozzxtU9X0Rub/YdgBU9YWK5l2CFMBzLbooYHd5MhCRK4ArClbyMMYYY842+w5lk7g9jUQ3MNyw6yDH8pzeaLGR9big3Tn0jAmjR4swWtsE1mcEX0L71ThBVjpOzVwosEdE9gK3qmpiBc5bMMvxqVqubxXQxp2OZxfwO6DMgSueVHUuMDc4OLgyJho3xhhjarS8fGXz3kMkJDs1hQnb09mRdgSA2rX86NKsAX/sF0OPFmF0bxFGZH3rp38m8iVQ/Bz4SFW/ABCRIcAlwEycqXPKvdyHqv7HHSBzUFX/Xd7jSyMiHwAXAJEikgKMU9WpIvIX4Auc6XHeUtUfKvO8xhhjzOksMzuXpB0ZJG5PJ2F7Gkk7MjiUnQtAZP069GgRyo19WtC9RRidmoVQp5Z/NZfYnAq+DGZJKN4JsmCbt+ltynVykYWqOqiix59KBU3PzZo1u3XmzJmcd955ZR5jjDGmdMuWLQOwz9RTTFVJST9aOOAkITmdn389SL6CCLRrFEyPFk4Tcs8W4Tbo5DR2soNZfAkUFwBfA/91N43CmY/wEmCVqnav8MlFngEaADOAwkntVHV1RfOsat6W8DPGGGNqspy8fH7YfdDtW+j0MfztoDMXbL3a/u7yd05g2K15KCGBNovBmaLKRz3j9OUbB3yM00dxqbvNH7iuoid2FfyEfNJjm+KsAlMjZWZmsmzZMvv1a4wxlcBqFKvGgaM5rN6ezqrkNBK2p7MuJYOsHGfQSbPQIPq0jCisMWzXKJha/iVOJWzOcmXWKJqivM2jaIwxpmJsHsXKsTvjKKuS05zAMDmdjb8dQhVq+QnnNg2hR4twesY4cxc2bmCzd5xNqrxGUUTaAg8AMZ7pVdVrrZ+I1AX+CjRX1VtFpA3QTlU/9UgTD7wOtALWAzdX1tyMVcWmxzHGmKoxotk+WDwRBvzV6SBnSpWfr2zae4hVyekkuIHhrgxn2cV6tf3p3iKMyzo3oWdMGN2iwwiqbYNOTMX50vQ8C3gNeBPIKyMtwDQgEejrPk5x8/BcoPIVnOBzMTAcmAQM9a3I1cOmxzHGmMpXS/K5scWvsHOlBYklyMrJY13KAbe20OlfeDDLGY18TnAdesWGc+uAWHrGhNO+sTUjm8rlS6CYq6onrjRdslaqOkpERgOo6lE5caiUn6p+6f5/log8Wo78jTHGnCGGN91PeO1ciL+tuotSY2QcOUZCcjqrtju1hetTDhROat3mnPoM69KUXjFh9IoJJyrMRiObquVLoDhXRMYCHwHZBRtVNa2E9MdEJAhnUErBes7ZxdKEisjVJT1W1Q99KbwxxpjT2M5V3N5yN9+nBhPfanB1l6ZaFExTk7A9rbApuWBt5AB/oUtUKH/sH0OvFuH0aBFGWL3a1Vxic7bxJVC8yf33QY9tCrQsIf04nEm6o0VkOtAPGFMszbfAFSU8VqDGBYoFfRSjo6OZNGlSdRfHGGNOb3vWwQe/g+Am1L381bOm2TkvX/n514NOjaHbv/DXg1kABAfWokeLMK6Ma0avmHC6RDUgMMD6F5rqVSWjnkUkAuiDM53OClXdX+knqSY2j6Ixxpykrd/Cf6+HwBD4wycQ2bq6S1Rljh7LI2lnBgnJaaza7iyFl+mudtKkQSC9YsLpFRNGz5hw2jYKxt/WRjaV7FTMo4iIdAI6AoVDflX13RLSjgC+UdXP3MehInKVqn5c0ULWJAcPHuSrr77ioosuqu6iGGPM6SU/D5b+GxZOgIbt4PrZfLXqJyD5jPlMTTt8rHDQyarkdDbsOkBuvhaudnJVt6b0igmnZ0w4zUKDqru4xpTJl5VZxuGsndwRmAdcCixV1ZElpD9hWT8RWaOq3SqlxNXM5lE0xpgKOJACH4+Fbd9Cp2vg8n9DYIPTfh7FPQeOsnJbWuHf5r1O/8LatfyIiwqlpzvopHvzMBrUtdVOzKl3KmoURwJdgTWq+kcRaYQzVU5JvI3L93oeEamjqtllbTPGGHOaysuFla/DN08DCsNfhm43nJZ9ElWV5NQjrNyWyspt6axMTmVnmjN/Yf06tegZE8aI7s3oHRNO56gG1Kll/QvN6c+XQPGoquaLSK6IhAB7KXkgC0CCiLyAM1eiAnfhzKvozXKg+FrR3rZVO5tw2xhjymnH9zD/IdiTBG2GwGUTIaxFdZfKZ/n5ysbfDjm1hclOjeG+Q049Rni92vSOCeeP58XSOzacDk1CrH+hOSP5EigmiEgo8AZOwJcJrCwl/V3AY8AMnMEsC4A7PROISGOgGRAkIt3cdAAhQN3yXMCpYhNuG2OMj1K3wFfj4Ke5UL8xXPs2dLyqxtci5uTls2HXgcJm5FXJaYUTWzdtEEi/VhH0jo2gd2w4rRrWs/kLzVmhzEBRVce6/31NRD4HQlR1XSnpDwOPlJHtUJwpc6KAFzy2HwL+VlaZjDHG1ECHfoMlEyHhLfCvAxf8Dc77C9SuV90l8yorJ481OzLcGsNUVm/P4GiOswBZy4b1uKxzE3rHhtM7NpyosBpZh2FMlfNpehwRaQa0oOhaz4uLpZmkqveKyFzcybY9qepwL/leo6pzKlLw6tKpUyedM2cO7dq1q+6iGGNMzXBwD3w3CRLfhrwc6P4HuOBRCG5U5qEbN24EOCWfqQezckjcnl5YY7guJYOcPGdEcofGIYVBYa+YcBoG16ny8hhzKlT5YBYR+X/AKOBHjq/1rDjrNHt6z/13YjnO/7Xbn3Gg+/hb4ElVPVCOPE6pwMBACxKNMQackcxLJ8HqdyE/F7qOhgH3Q0Qrn7Ooys/T/ZnZrPLoX/jTnoPkK9TyE7pENeBP/VvSOzaMHi3CaRBkI5KN8caXPopXAe3KGomsqoki4g/cqqo3+Hj+qcAG4Dr38Y3ANODqEo+oZgcOHGDu3LlcccUVZSc2xpgz0b6NsPwVSPo/53Hc750AMSym3FnNnTsXoFI+U3dlHD0+InlbKlv2HQYgMMCP7s3DuHtwG3rHhNOteRhBtW1EsjG+8GUexfnAtaqa6VOGIl8AV6jqMR/Septz8YRtNYHHqOdb4+PjT9s5v4wxpkJUYdtiWP4ybF4AtQIh7nrofy+ENq9wthWdR1FV2br/cJE5DHdlOFPVBAfWolfM8Wbkzs0aULuWt5nbjDnzVVnTs4hMxmliPgIkicjXQGGtoqreXcKhycB3IvIJcNgj/Qte0h4Vkf6qutQ9Zz/gaHkv4lSwUc/GmLNSXg5s+BCWT4Zf10O9hjDo79DzZqgXecqKoaps2XeYFVtT+X5bGiu2phZOVRNZvza9Y8O5dUAsvWMjaNfYlsIzprKU1vRcsKBxIvBJOfLc7f75AcFlpL0DeEdEGuBMkZMG3FSOcxljjKkKmXth9Tuw6i04tBsatofhk6HzdRBQ9fPJegaGzl8a+zOdwLBRSB3OaxVBfGwEfVqGExtpU9UYU1VKCxTnAQ1V9UfPje66z795O0BEGgKfAb+oakZZJ1fVJKCrO5E3qnrQ14IbY4ypZKqwYzmsehN+/ATyc6DlIBj+ErS+qErnQSwtMGwcEkj/1hH0aen8tYioa4GhMadIaYHiZOBVL9ub4cx1+HvPjSJyCzAB2ALEishtqlpqTaSIRADjgP6AishSnFHPqb5fgjHGmJOSfQjWzYRVU2HvDxDYAHrf5jQvR7auklM6gWEmBxvFkRUSTa9nvrbA0JgaqMTBLCLyg6qeW8K+Daraqfg2YJCq7hORlsB0Ve1b6slFvsSZZud9d9P1wAWqelE5r+OU6dKli3722WdER0dXd1GMMebk7P3JmRw76QM4dggad4Het0KnkVC7cieYLggMl291+hd+vzWV/ZnOmMeG9QLo3/Yc+rQMp0/LCJqHW2BoTGWpynkUS5tUytu+Y6q6D0BVt4qIL7OVhqvqUx6PnxaRq3w4rtrUrl3bgkRjzOkr+5AzOGXNe5CyCvxrw7lXQ69bIKpnpTUvqyq/7M0sbEb+ftvxwLBJg0AGtGlogaExp4HSAsXNInKZqs7z3CgilwJbvaSPEpGXSnpcwijphSLyO2Cm+3gkTh/HGis9PZ0ZM2YwatSo6i6KMcb4RtUJCle/Axs+gpzDzuCUIc9A199Vyujl4oHhiq2ppB4+HhgObNOwsCk5OjyoMDCcMWMGK8A+U42poUprem4LfAoswxn5DNAT6AtcrqqbiqUvdbSyqr7j5RyHgHpAvrvJj+NT6qiqhvh2GVXP5lE0xpx2Du+Htf91Vk7ZvxEC6kGnq50l9qJ6nVTtoaqyuTAwTOX7rWmFgWHTBoGFQWHxwLC4is6jaIzxTZU1PavqJhHpjDNopaA/4rfA7aqa5SX9CYFgWVS1rOlzagybR9EYc1rIz4MtC2HNu/DzPGfkclQvZ2qbc0dAnYp97JYVGJ7fzqkx7NsygqiwkgNDY8zppdQl/Nxl+6ZV9klFpAWQUbCms4gMwlkqMBl4xZdVXYwxxnjYtwnWfgDrZsDBXVA3whm53P1GOKdDubPLzy8WGG5LI80CQ2POOr6s9VwVZgIjgAMiEgfMAv4JxAFTgFuqqVzGGHP6OJIGG+Y4ay7vXg3iD60Hw9BnoN1lUMuXMYWO0gLDZqFBDGp3DvEtwy0wNOYsU12BYpCq7nb/fwPwlqo+LyJ+QFI1lckYY2q+3GOw+Qun7+GmL5ym5UadYegEZ1qb4EY+ZZOfr2zae4gVW5yg0FtgWDAqOTq8cqfKMcacPnwKFEUkCGiuqhtLSVOwNrRXxUY9e/4UvRB41E2TX9N/pbZq1YrZs2dXdzGMMWcTVdi12mla3jAbjqZDvXMg/nZn1HLjzmVm4RkYFkxXk34kB4CosOoLDO3z1JiarcxA0R3tOxGojbPiShzO6inDiyUtWBu6H9ARmOE+vpbjo6YLfCMiM4E9QBjwjXuuJkCN7p9Yq1YtIiNPfioJY4wpU8ZOp8/h2v9C6maoFQjth0HX0c7Sev4lf4Tn5ysbfztUOPCkeGA4uEMj+rSMID42vFprDO3z1JiarcTpcQoTiCTi1PotUtVu7rZ1qtqlhPQLgSGqmuM+DgAWqOogjzQCjAKaADNVdZe7vRtwjqp+cdJXVkViY2N13LhxjBkzprqLYow5Ex1Jg5/mwvpZkLwUUGh+HsSNho5XOsvreeEZGBb0MczwCAwLpqqp7sCwuLfffhvAPlONqSInOz2OL4Hi96oaLyJrfAwUNwJ9VTXNfRwGrFDVdhUtZE0SHBysPXr0sDm/jDGVJ/uQM5XNhjmw5WvIz4XwltDld9DlOgiPPeGQ/Hzl51/dGsNtRQPD6PAg+sS6gWHLcKLCak5gWJzNo2hM1arKJfwKbBCR3wP+ItIGuBtnEu6SPAuscWsWAc4Hxle0gMYYc0bKOQqbF8D62c6/uVkQEgV97nAGpTTpWmRCbM/AcMXWVFYmFw0MLy5oSq7hgaEx5vTiS6B4F/B3IBv4APgCeKqkxKo6TUTmA/HupkdU9deTLagxxpz2co/B1oVOzeHPn8GxTKjX0FkppdM1ENUb/PwAJzD8ac8BZ+CJ25R84KgTGDYPr8uQjgWBYQTNQoOq86qMMWewMgNFVT2CEyj+3ZcM3f6HFwEtVfVJEWkuIr1VdWUJ6WsDbd2HGwv6NtY0Hkv4VXdRjDGnk/w8SF7iBIc/fgJZGRAY6iyl1+kaaNEf/Gs5geGvBwvXSV5ZLDAceq4FhsaYU8+XUc9zOXHamwM4o5z/42U5vyk4azdfCDwJHALmAL285H0B8A7OiiwCRIvITaq6uFxXcQrYEn7GGJ/l50PKSic4/OFjOLwXatd3Rix3ugZaDiLfL8AJDJfvPCEwbBFhgaExpmbwZTDLi0BDnGZncEYr/woEASGqemOx9KtVtXuxwS9rVbWrl7wTgd8XzM8oIm2BD1S1x0leV5Xp3r27Ll26lLp1rQ+QMcaDKuxZ68xzuOEjOJjiTGfTZgh0uoa81kP4aX+O28cwjZXbUjmYlQs4gWGf2Aj6tAonPjaCpmdRYHjkyBEA+0w1poqcisEs3VR1oMfjuSKyWFUHisgPXtLniIg/bi2kiDTEqWH0JsBzEm9V3eROp1Nj+fn52QeaMea4vT87NYcb5kDaFvCrBa0Gk3/hY/zcoD/LUo6xIiGNlbOWFAaGMRF1ubRTk7MyMCzOPk+Nqdl8CRQbikhzVd0BICLNgYIZUr1Njv0S8BFwjog8A4wE/lFC3gkiMhV4z318PSdOzl2j7Nu3jylTpjB27NjqLooxprqkbYUNHzp/e38A8UNjBrD73Nv4RuL5dmcu33+cxqGstYATGF7WuUnhqOQmDc7ewLC4KVOmANhnqjE1lC9Nz5cBrwFbcPoRxgJjgUXArao6ycsx7YHBbvqvVfWnEvKuA9wJ9HfTLgZeUdUauzqLzaNozFnq4G744SOn5nCX83v2cKOerG0wmNlHe/DlTjjk1hjGRtYjPjbcAkMf2DyKxlStKm96VtV57vyJ7XGCuZ89BrB4CxKnApNV9RWPbeNVdbyX7P+sqi8AL3ikvQd4sVxXYYwxVeHwfvjxY9jwIbp9GYKyL7gDC8Nu5Y30bmzeHgpAbGQdLu/iBoaxETRuYLMjGGPODL40PQO0AdoBgUAXEUFV3y0h7VCgh4i84JFmON4n3b6JE4PCMV62GWPMqXE0A37+FF0/B7Z9i2geuwOa86Fey5xj8WzLakJsZD36dAnnLxYYGmPOcL5MjzMOuADoCMwDLgWWAiUFinvd9NNFJB64B6cm0jPP0cDvgVgR+cRjVzCQWq4rMMaYk5WdSd7P88hMnEn9nYvw1xxStBH/y7ucuXl9yanXnvgOkdzb0qk1bBRigaEx5uzgS43iSKArsEZV/ygijYA3S0kvqnoQuEJExgPfAsVXsV8G7MEZFPO8x/ZDwDofy26MMRWWm32ElFVzyVs3m6h9i6mjWRzVMGblXURi8GBCW8fTp1UE71pgaIw5i/kSKB5V1XwRyRWREJwaw5alpC+sIVTV8SKSANzvmUBVtwPbgb4VKHO1ateunXW6NuY0lJuXzw8pqexKnE/Ilrl0zVxCjBwlVYP5vPYgfms+jMadBzG8ZSS3WGB4ytjnqTE1my+BYoKIhAJv4Exdkwl4XY4PQFXHFXv8KfDpyRTSGGPKKzcvnw27D/L9lr2k//QtLX/9nItYQVfJJJN6/Bw+iJwOV9Oq96VcGVq/uotrjDE1UpnT4xRJLBKDsxrLCc3DIrJUVfuLyCGKLvkngKpqyEmWtUaIjo7We+65hwceeKC6i2KM8ZCTl8/6XQf4fmsaK7bs59j277k4/zuG+a+gkWRwzC+QvU0HU7/HdYR2vhRq1anuIhtg4sSJAPaZakwVOdnpcXyZR/FrVR1c1rYKF0AkCGjuuUJLTWbzKBpTMxzLzWf9rgxWbE1jxdZUEren0SJnG1f4L2dEwAqa6F7y/ALIbXkRdeKuhbaXQO161V1sU4zNo2hM1aqyeRRFJBCoC0SKSBjHRy6HAE29pA8v7USqmublmCuAiUBtnBHQccCTqjrc5yswxpwVjuXmsy4lgxVbU/l+WxoJyekczcmjpexmTEgiLwQto6HfdlT8kVaDoNM1+Lcfhn9g8bF0xhhjfFVaH8XbgXtxgsJEjgeKB4FXvKRPxGlyFi/7FO8DYMYDvXFWeUFVk9zm7VNCRFoCfwcaqOrIU3VeY0zZsnPzWLvzgBsYppK4PZ2sHGfZ+PMbHuGl6ETiDy8i5MBPkC0Q0x863Yt0uBLqRVRz6Y0x5sxQYqCoqi8CL4rIXao6uayMVDW2AufPVdUDIt5iy9KJyFvA5cBeVe3ksf0SnAm7/YE3VfXZkvJQ1a3An0RkdrkLYIypVFk5eSTtzHD6GG5NZfWOdLJz8xGB9o1DuLVbXS6T72m9bwEBu1c5k2lF9YK+z0LHqyCkSXVfgjHGnHF8WcJvsoicB8R4pi9lZRbcpuo2OCu5FKRf7CXpBhH5PeDvLhN4N84ci754G3gZj4m/RcQfp7bzYiAFWOVO6O0P/LPY8Ter6l4fz1XIz8+PoCBbt9WYk5WVk8fqHemFgeGanRkccwPDjk1CuD6+BQOaCfFZ31F306uwbimg0KgzDB4Hna6GsJjqvgxzkuzz1JiazZfBLO8BrYAkIM/drKp6dwnpb8FZjSXKPaYPsFxVL/SSti5O0+8Qd9MXwNMea0mXVbYY4NOCGkUR6QuMV9Wh7uNH3cIWDxKL5zO7tKZnEbkNuA2gefPmPbZv3+5L8YwxHvvaiQMAACAASURBVI4ey2PNjnRWbE1lxbY0knZkcCwvHz+Bjk1D6BMbQZ+WEfRqEkCD7V/AhjmwdSHk50JEa+g00gkOG7ar7ksxxpjTRpUNZvHQE+iovs+jcw/QC1ihqoNEpD3wRAlp26nq33GCxcrQDNjp8TgFiC8psYhEAM8A3UTk0ZICSlV9HXgdoGfPnr7PJ2TMWezIsVxWb88o7GOYtDODnDzFT6BTswaM6RdDfGw4PWPCaeCfA5s+h3VzYM6XkJcNDZpD379Ap2ugcWeoQBcVY4wxJ8eXQHED0BhnyT1fZKlqloggInVU9WcRKakK4AURaQLMAv6rqj/4eI6SlDSQxitVTQX+XJ4T7Nmzh6eeeorHHnusvGUz5ox2ODuXxO3pfL8tlf/f3p3HR1Wdjx//PIQ1ZCXsBAg7KGBYXaAVBa24fK3K16Vi64Z16a+l1X5bl6qtVuv324UuLuCGilqpqBXrTrVuICCEfRUQAgICIQkQCCTP749zBoYwM5lJJpkkPO/XK6/MvXOXc+/cO3lyzj3nmbNuF4vzXWCY1Ejo3ymda0d245RuWQzNySS1eRM4dAC+/De8OQNWvgkH90JKOxh6rQsOs4dacHgcuO+++wDsO9WYOiqaQLE1sFxE5gIHAjMjDGGT7zO5vAa8JyIFwJZQC/oax/bApcAUnyLwJVW9P5aDCN430DloOjvcvmPlh/K5oHnz5syaNcu+1Mxxb/e+UuZtKGDu+p3MXb+LpVuKKCt3geHA7HSuG9mdU7q7GsOUZv6rpuwQbPjINSuvmAn7C6FFJgz8bxccdh0BjZISe2CmVs2aNQuwQNGYuiqaQPHeWDaoqhcF1hORD4B04O0Iy28F/uKX/R/gbqCqgeI8oJeIdAM2A5cD36vitiqWcyYwMzU1dUI8tmdMfbO9aD9zN+xi7nr3s3JrMQBNGzcit3MGN53eg+HdWjGkayYtmwV9tZSXw1efueBw2Wuwbwc0TYV+57vgsPsoSGqSkGMyxhgTWTS9nv8jIl2BXqr6vu+AEvFffhEZ6Zd/WkTa4J4dXB9iuX7AZcA4YCfwd+DWaAouIi8Co3ADgucD96jqkyLyI1ynmCTgqTg0Zxtz3FFV8gtKDgeFczfsYv2OvQAkN01iSNdMzh/YgeHdshiYnU7zJkkVNwBbFvrg8FUo2gyNW0Cfc1xw2PMsaNI8xJ6NMcbUJZUGiiIyAdfjtxWu93Mn4DEgZAo/EbkH1wGmD/A00ASYBowIsfjTwIvA2aoaUxOxql4RZv6bwJuxbCsawU3PxjQ0qsqX3+zh8/VHagy/LnSDD6S3aMKwnFZ8b3gXhndrxYkd02ic1Cj0hravhKUvuwBx1zpo1AR6nQVn/cal0GuWUotHZYwxprqiaXq+BZc95XMAVV0jIm0jLH8RMAhY4JffIiKpoRZU1VNiK27iBJqeMzMzJ2RlWdYHU7+VlSsrvi46HBTO27CLnXtLAWiT2ozh3VpxcrdWDO/Wit5tU2nUKEKnkoINLjBc+gpsWwrSCHK+BSN/Cv0ucM8gGhOGfZ8aU7dFEygeUNXSQPYUEWlMhJ7EQKmqqoioX75lxQVEZLqqXioiSypsS3BjNA6M+ghqWY8ePZgxY0aii2FMTEoPlbNkc6EPDHcyf0MBxQcOAZCd2YLT+7TxgWEWOVnJVJotqXire95w6cuQP8/Nyx4OY//XZUlJbVfDR2QaCvs+NaZuiyZQ/I+I3AG0EJGzgJuBmRGWny4ik4EM32x9LfBEhWV+4n+fH2uBjTGVKyktY+GmgsM1hgs2HsmT3LNtChfkdmR4TiuGdWtFp4woM2OUFMDy111wuOET0HKXJWXMvXDixZDZtcaOxxhjTGJEk5mlEXAdLnuK4DqKPBFpAG4fUB5eXlXfC7PcQ6r6i8rm1QWBZxQzMjIm3HjjjTz4YMRkL8bUqh17DjB/QwHzN+xi3lcFLNtcyKFyPZwOL9CUPDSnFa1TmkW/4QN7YNVbLjhcOwvKD0Kr7i5LyoBxliXFVNvtt98OYN+pxtSQ6mZmiSZQbIkbRLvMTycBzVR1X5QFTAIuV9XnQ7y3QFUHV5i3uC43PaempuqQIUP48MMPE10Uc5xSVTbs3Me8DbuYv2EX8zcUsM73SG7auBG52RkMyclkWE4mQ7q2Ir1FjEPPHDoAa9+HJS+7bCkH90FaJzjxIhccdsi1gbBN3IwaNQrAvlONqSG1kcJvFjAG2OOnWwDvAqdVKEgaruNLJ+B14D0//XNczufng5a9CdeE3V1EFgdtJhX4tCoHYkxDdbCsnGVbig4HhfO/2sWOPa7jSUZyE4Z2zeTSYZ0ZlpNJ/07pNGtchQGrAwNhL/EDYR8ohOQsOOkKFxx2PgUahenpbIwxpsGKJlBsrqqBIBFV3ePHUqzoOaAAmA1cjwsQmwIXqmpehWVfAN4CHgR+GTS/WFV3xVB+Yxqc4v0HWbhxt2tG3lBA3qbdlBwsA6BLq2S+3bsNQ7u2YlhOJj3apETukRxJeTnkz3U1h8tfg73fBA2EPQ66n24DYRtjzHEumkBxr4gMVtUFACIyBCgJsVx3VR3gl3kC2AF0UdXiiguqaiFQCFzhl28LNAdSRCRFVTdW6WhqkI2jaGrK1sL9zP/K1RbO27CLFV8XUa7QSOCEjmlcNqwzw3JaMTQnk3Zpcbj+tq+AxdNdgFi4ERo3h97fccFhr7NtIGxjjDGHRRMo/gT4h4gEBsTugMumUtHBwAtVLROR9aGCxGA++Poj0BHYDnQFVgAnRlGuWhUYRzErK2tCdnZ2ootj6qnycmXtN3v884UuMMwvcP93tWiSxOCuGfy/M3sxLKcVuV0yjuRIrq6iLS4wXDIdti4BSYIeZ8CZd0Lf86BZyKFOjalx9n1qTN0WsTOL7/F8Ci6Hch9cL+aVqnowxLJlwN7AJO5Zxn0cGRsxLcQ6i4AzgfdVdZCInAFcoao3VOuoatDQoUN1/vz5iS6GqSeK9x8kb9NuvviqgAUbd7NwYwHF+934ha1TmjEsJ5OhOa4ZuV+HNJqEy3hSFfsL3XA2S6bD+o8BhU5DYMCl0P9iSIk0br4xxpiGoEY7s6hquYj8QVVPBZZWsmwVnqDnoKruFJFGItJIVT8QkYeqsB1jEk5VWb9jLws2usBw4cYCVm0rRtV1Eu7TLpULTurI4C6uR3KXVlEMbB2rQ6Ww9j1Y/BKsehvKDrjhbE7/BQy8FLJ6xHd/xhhjGrRo2rXeFZFLgFcijZ1YRbtFJAX4CHheRLYDh+K8j7jatGkTEydOZNKkSYkuikmwfaWHWJxf6GoLvypg4abd7PJp8FKbN2ZQl0zG9u/A4K4Z5HbOILV5DXUMKS+HTXNccLjsNdi/G5Jbw5CrXXDYaYgNZ2PqrIkTJwLYd6oxdVQ0geLPgJZAmYiUEKEpuQouBPYDPwWuBNKB38Rhu3EX3JklL69iJ27T0Kkq+QUlLNjogsIFG3ez/Osiysrd/0492rRkdN+2DOmayeCumfSsTm/kaB3ulPIPKNwETZKh7/kuOOw+ynosm3rBvk+NqdsqDRRVtcaeclfVvUGTz9TUfuIh0JklNTV1QqLLYmre/oNlLNtSyIKvAs8XFrC9+AAAyU2TyO2cwU2n92BI10wGdckgI7lp7RSs6GsXGFbslDL6buhzLjRLqZ1yGGOMOS5UGiiKe4jqSqCbqt4nIp2BDqo6t6o7FZFiILgZW/x0PGsrjYlK4NnCvE27D/+s+LqIg2XuEu3SKpkRPVszuEsGg7tm0qddKo3j2emkMqX7YOW/YNELsO5Dl2O50xAY+78uW4p1SjHGGFNDoml6fgQox/VOvg+XoeVhYFhVd1qTtZTGVGbX3lIWbdrNQh8ULtq0m8IS15G/ZdMkBmSnc93I7gzqksHgLpm0SY0hN3K8lJfDxtkuOFz2TygthvQu8K1bYeDl0Lpn7ZfJGGPMcSeaQPFkVR0sIgsBVLVAROLWziYiI4Feqvq0iLQGUlV1fby2H2/Nmzend+/eiS6GidKBQ2Us21JE3sYjtYUbd7k05Y0EerdL5dwB7TkpO4PcLhn0aptKUk0/WxjJrnWw6O/uZ/dX0DQFTrjQpdLrOsLS6JkGx75PjanbIo6jCCAin+PyOs/zAWMb4F1VHVTtnYvcAwwF+qhqbxHpCPxDVUdUd9s1xcZRrLtUlQ0795G3qeBwYLg8qAm5fVpzcju7gDC3cwYDOqXTMl4DWlfH/kJY9qoLDjfOBsSlzzvpey6dXtOWiS6hMcaYeqpGx1H0/gK8CrQVkd8C44C7qrrDCi4CBgELAFR1i4jUyWbpQK/nnj2tya+u2Fa0n8X5hSzJ301efuFRTcjJTZMY0Cmda0d2Y1DnDHI7Z9I+vQ6lpis7BOs+gLwXYNWbcGg/tO4No+9xvZbTLVuFMcaYxKu0RhFARPoCo3GdTWap6oq47FxkrqoOF5EFvrayJTBbVQfGY/s1oU2bNnrRRRcxZcqURBfluLJjzwGWbC5kSX4hi/N3szi/8HAv5EATcm5nV1N4UucMerdLcBNyONtXwMJprufynm3QPAMGjHO1h50G23iH5rhzww0uEZd9pxpTM2qsRlFEmgM3Aj2BJcBkVY33YNjTRWQykCEiE4BrgSfivI+42r9/P6tXr050MRq03ftKWbK50NcWFrJkcyGbd7t8yCLQvXVLRvRszcDsdAZmp9OvQxrJTetAE3I4+wth6Suw8DnY/AU0agy9znbPHfb+DjROQGcZY+oI+z41pm6L9Nf1GeAg8DEwFugHTIznzlX19yJyFlCEyyV9t6q+F899mLqtaP9BlgZqCv3vQGcTgJysZAZ3zeTq03IYkJ3OiR3Tai7DSTypwlefutrDZa/BoRJo0w++84DLtZzSJtElNMYYYyoVKVA8QVUHAIjIk0CVx02MxAeG7/n9JInIlar6fE3syyTW7n2lLNtSxLIthSzbUsSSzYWs++bImOvZmS0YmJ3OFcO7MDA7nf4d00lPrgdBYbCiLe65w7znXQ/mpqlw0mUw6PvWtGyMMabeiRQoHgy8UNVDEsc/cCKSBtwCdAJexwWKtwA/B/IACxTrMVVla9F+lm0uOiowDDQfg+uBPCA7nYtyOzEgO50BndLJSqmnTbCHSmH1265pee37bkDsriPg2/8DJ/yX9Vo2xhhTb0UKFE8SkSL/WoAWfjoe2VOeAwqA2cD1uACxKXChqtbpxJ/Jycnk5uYmuhh1Rnm5sn7n3sMB4fItLjjctbcUcBVo3bJaMqhLBuNP6cqJHdM4sWNa/Q0Kg21f6YLDRX+HfTsgpT2MmAiDxkNWj0SXzph6wb5Pjanbour1HPediiwJatZOAnYAXVS1uNYLE6PjeRzF0kPlrN5W7INBV0u44usi9paWAdAkSejdLtUHg+55wr4d0kipC2MVxsvBEjfm4fynIX+u65jSZywMugp6jIakBnSsxhhj6r3aGEexJgQ3a5eJyPq6HiQeT+Moqirbiw+w4usiVm4tZqX/vXb7Hg6Vu38sWjZNol+HNMYNyebEjumc0DGN3u1Sadq4gWYO2b4SvngaFr3oejFn9YSz7nM9l61jijHGmAYqUTWKZUCgF4MALYB9xKdZu0ZlZWXp2LFjmTZtWqKLEhclpWWs2V7Myq+LWbG1iJVfF7NyaxEF+w7H8nRMb07fDmn0bZ9Kvw6u6TgnqyWN6uI4hfF0cD+seN3VHm78DBo1gX4XwNBrIOdb1jHFmDgYP348QIP5TjWmrqmXNYqqmpSI/cZDaWkp+fn5iS5GzFSV/IKSo2oIV2wtYsOOvfhKQlo0SaJP+1TO6d+evu1dYNi3fVr963lcXTvWwBdTXe/lkl2Q2Q3G/Bpyr7TaQ2PirD5+nxpzPLEHqhqYQLPx6m3FrNm2hzXbi1m9bQ+rtxZTfODIeOlds5Lp2z6VCwZ2pF8HFxB2aZXc8GsJwzl0AFbMdAHiho/ds4d9z4Mh10C306FRA21SN8YYYyKwQLGeUlW+KT7ggsBtxazZ7gLD1duKKdp/JCDMTG5Cr3apXDS4k6sl7JBKn3aptGxIHUyqo3AzzH8KFjwDe7+BjC4w+m7IHQ+p7RJdOmOMMSahLFqo44IDwkDt4JptxazZvofCkiPPEQYCwgtO6kjvdqn0apdC73apZLVsSjzHwGwQAllT5k6BFW+4cQ/7jIWh10GPM6320BhjjPEsUIxRSkoKp556aty3e7CsnI279vHl9j2s27H38O+1FQLCjOQm9G6byvkDO9CrbYoPClNpnWIBYaUO7IEl02Hu47B9ObTIhNN+BEOvhcycRJfOmONSTXyfGmPiJyG9nuuz6o6jWLC3lHU79vDl9r186X+v27GHjTv3HR56BqBNajO6t25Jj7Yp9PYBYc92KbRJaWYBYax2fgnznoCFz8OBQmg/AIb/EAaMgyYtEl06Y4wxpsbUy17PDV3poXLyC/ax7pu9fPnNniO/d+w9nLEEoGlSI3JaJ9O7bSpj+7ene+sUerRNoXublqQ1P856GsdbeTl8OQs+f8yl1WvUGE74Lgy/AToPt6FtjDHGmChYjWKMMjMz9cwzz+T5v08nv2AfG3bsY8POvWzYuZevdrrXmwtKCKocpHVKU7q3SaFHm5b0aOMCwR5tUsjOTCbpeO1lXFMOlriUenMegR2rXVq9odfCkB9AavtEl84YU8Ell1wCwIwZMxJcEmMaJqtRrGUlTdLI63IJ/e5+m+AYO615Y7q1bsmgzplclNuJLlktXUDYOuX4G4cwEYq3uebl+U/Cvp3Q4SS4+HFXi9i4aaJLZ4wJY+fOnYkugjEmAgsUoxRI4de0dReaF+Uz4byh5GS1pGtWMjlZLclsacFIQmxbBrMfcZ1Uyg663sun3gJdR1jzsjHGGFNNFihGSVVnAjNTU1MntPnyTSaO+Z9EF+n4pQprZ8Hsv8G6D6BJMgz+Ppx8E7Ru+Lm4jTHGmNpigaKpP8oOwtJX4NNJbnib1A4w+h4YcjUkt0p06YwxxpgGxwLFGKWlpTF69OhEF+P4UroPFk6Dz/4KhRuh7Qlw0WQ48WJ7/tCYes6+T42p26zXc4yqO46iiUHJbpj3OMx5DPbtgM4nw8ifQa+zLXuKMcYYEwXr9WwanuKtMPthmP80lBa7wHDkT6HraYkumTHGGHNcsUAxRmvWrGHs2LG89dZbiS5Kw1OYD5/8CRY8C+WHXNPyyIkuk4oxpkEaO3YsgH2nGlNHWaAYo/LyckpKShJdjIalMB8+/iMsfM71aB50JYz4CbTqnuiSGWNqmH2fGlO3WaBoEicQIC541k0Pvso9g5jRObHlMsYYYwxggaJJhN2b4JM/woLn3LQFiMYYY0ydZIGiqT3FW+Gj/4MvnnHTg7/vOqlYgGiMMcbUSRYoxigjI4Pzzz8/0cWoX0p2w2d/gTmPQlkpDLoKvnWrBYjGGPs+NaaOs3EUY2TjKMbgYAnMneKeQ9y/G/qPgzPugKweiS6ZMcYYc1ywcRRN3VN2CPKmwYcPQfEW6HkWjL4bOgxMdMmMMcYYEwMLFGO0atUqRo0axYcffpjootQ9qrD6HXj3Lti5BrKHwyWPQ87IRJfMGFNHjRo1CsC+U42po477QFFEvgucB7QFHlbVdxNcpPpp2zJ45w5Y9yFk9YTLX4A+54JIoktmjDHGmCqq1wlzReQpEdkuIksrzD9HRFaJyFoR+WWkbajqa6o6AbgauKwGi9sw7fkGZv4EHhsJW/LgnIfg5jnQ9zwLEo0xxph6rr7XKE4F/gY8G5ghIknAw8BZQD4wT0ReB5KAByusf62qbvev7/LrRVRaWnr4daDJJNill17KzTffzL59+zj33HOPef/qq6/m6quvZseOHYwbN+6Y92+66SYuu+wyNm3axFVXXXXM+7feeisXXHABq1at4oc//OEx7991112MGTOGvLw8Jk6ceMz7DzzwAKeddhqfffYZd9xxxzHvT5o0idzcXN5//33uv//+Y96fPHkyffr04V//fIVNL9/JVV230qxROa9tacMzG9rzyJXn0TmpCS+99BKPPvroMeu//PLLtG7dmqlTpzJ16tRj3n/zzTdJTk7mkUceYfr06ce8H2ie+v3vf88bb7xx1HstWrQ4nAbsvvvuY9asWUe9n5WVxYwZMwC4/fbbmT179lHvZ2dnM23aNAAmTpxIXl7eUe/37t2bKVOmAHDDDTewevXqo97Pzc1l0qRJAIwfP578/Pyj3j/11FN58EF3CV5yySXs3LnzqPdHjx7Nr371K8ClNauYseL888/ntttuA47va2/mzJn84Q9/OOb95557js6dO9u1V8+uvby8PDp27Ahg155de/a9V0E8rr3qqve9nkUkB3hDVfv76VOBe1X1O376dgBVrRgkBtYX4HfAe6r6fphlbgBu8JN9gFVVKGo6UFiF9aqiJvYVj21WZxuxrhvL8tEu2xrYEUMZGqLavI5jYfdX1bdRlfXifX/ZvWX3Vk3ty/52QR9VTY2hDEdT1Xr9A+QAS4OmxwFPBE1fBfwtwvo/Br4AHgNurMFyTqnFcxL3fcVjm9XZRqzrxrJ8tMsC82vrM6yrP7V5HdfVcjW0+6sq68X7/rJ7y+6tmtqX/e2q/v1V35ueQwn1YFzYalNV/Qvwl5orzmEza2EfNbmveGyzOtuIdd1Ylq/Nz6a+q6vnyu6vqm+jKuvZ/RV/dfU82b11nP/tOu6bno2JlojM12oMWmqMCc3uLWNqTnXvr3rd6zmMeUAvEekmIk2By4HXE1wm0zBMSXQBjGmg7N4ypuZU6/6q1zWKIvIiMAr3IPQ24B5VfVJEzgUm4Xo6P6Wqv01cKY0xxhhj6qd6HSgaY4wxxpia0xCbno0xxhhjTBxYoGiMMcYYY0KyQNEYY4wxxoRkgaIxcSAi3UXkSRGpfr4kY45zItJSRJ4RkcdF5MpEl8eYhiTWv1cWKJrjnog8JSLbRWRphfnniMgqEVkrIr+MtA1VXaeq19VsSY2pv2K8zy4GXlbVCcB/1XphjalnYrm/Yv17ZYGiMTAVOCd4hogkAQ8DY4ETgCtE5AQRGSAib1T4aVv7RTam3plKlPcZkA1s8ouV1WIZjamvphL9/RWThpjCz5iYqOpHPsNPsOHAWlVdByAifwcu9Bl+zq/dEhpT/8VynwH5uGAxD6vQMKZSMd5fy2PZtt2AxoTWiSM1GuD+cHUKt7CIZInIY8CgQNpIY0ylwt1nrwCXiMij1N0cyMbUdSHvr1j/XlmNojGhSYh5YUenV9WdwI01VxxjGqSQ95mq7gWuqe3CGNPAhLu/Yvp7ZTWKxoSWD3QOms4GtiSoLMY0VHafGVNz4nJ/WaBoTGjzgF4i0k1EmgKXA68nuEzGNDR2nxlTc+Jyf1mgaI57IvIiMBvoIyL5InKdqh4CfgS8A6wApqvqskSW05j6zO4zY2pOTd5fohr2sStjjDHGGHMcsxpFY4wxxhgTkgWKxhhjjDEmJAsUjTHGGGNMSBYoGmOMMcaYkCxQNMYYY4wxIVmgaIwxxhhjQrJA0Zhq8Dkz8/zPVhHZHDTdtA6U72IR6Rs0/VsROaOG9pUkIh/XxLbrGxH5mYg0j3GdUSKyTEQWBl87ItJKRG4Mmh4jIq/Fs7zxEum4ReQTEVnl743lInJdAsp3vYhMitO2eopIiT+eRSLyqYj0itO2Yy6nHzsvIx77NyaYBYrGVIOq7lTVXFXNBR4D/hSYVtVSAHESda9dDBwOFFX1TlX9oCZ2pKplqvqtmth2bRCRpDhu7mdATIEiMB74naoOClw7XivqTx7xyo77Mn+vfBv4vYg0jnbDsSxbE8Lsf5W/108CXgB+WcvFMqbGWaBoTA3wtQ1LReQxYAHQQUSmiMh8X2t0d9Cy+SJyr69JWiwivf38M31NRZ6ILBCRliKSJiL/9tOLReT8oO1c4+ctEpGnReRbwLnAn/w2ckRkmoh81y9/lp+/REQeD9RihStPheMbICLz/PqLRaS7iDQWkd3+/d8G1axuEZHH/fwfiMhcP/+RUAG0iPzab3upiDwmIuLn/9TXRC0SkWkh1rteRF4VkXd8zdVdQe8ds99AeUXkfhGZCwwXkZNFZLbfx+cikuyX+6Nff7GIXO+3OUZEZonIK35/zwbKCbQFPhaR90OU85jzLq7G8GLgN4HtBPkdLttCnoj8zs9Lrbhfv+1hIvIfEflCRN4SkXYh9n+hP7aFIvKuiLT180Ndb53E1QTm+c/jNL/sWH+eFojIS37ZiMddQQqwFygLvm78ti8XkSf862ki8gcR+QB4wH9WT/pjXCcit0T6jIOui9Ui8iFwSqjCiEhrEXndf76fiUh/P/9+EZksIu8BT1dyTGlAgV+vhYg84z/jBSLy7aCyvOyv0TUi8mBQGUKWU0Ta+c96vj++U/z8NiLynt/+o4BUUj5jqkZV7cd+7CcOP8C9wG3+dU+gHBgW9H4r/7sx8DFwgp/OB27yr38MPOZfvwWc7F+nAElAEyDVz2sLrPGvTwJWBu0j8Hsa8N2gMkwDvgskA5uAHn7+88CPIpWnwrE+iqsdAmiGq0VqDOyusFwmsBTIBfoDrwGN/XtTgO+F2Hag7AK8CIz1018DTf3rjBDrXQ9s9vtsCSyPtF9fXgUu9vObA+uBwX463Z/zm4FfBh3rQqALMAYXGHTwy80DTgk6h6HKGOm8H/VZBa3TE8gLmg65X1+2z4DWfrkrgSkhtpfJkaxcNwIPRbjefgH8ws9L8vPbAv8Bkv38O4E7Ih23f+8TYBWwGCgBrg+6H3YHLXc58ETQOXkNaOSn78fdO019OXb6coX7jLOBr4Asv84cYFKY6/lO//psYH7Q/uYCzcN8LiVAHrAOd+1l+/d+ATzuX5/oy9AUd42uAVKBFv5a6BipnMBLHLmucoCl/vUjQef9Qty1HPLc24/9VOcnoVX5xjRwX6rqvKDpK8Q9Syo5+QAADdNJREFUl9UY98fhBFwwA/CK//0FrhYQ4FNgkoi8AMxQ1T3imkcfEpGRuEC0s4i0Bs4EXlLVXQCB3xH0wwWZX/rpZ4HrgL9FKE+wz4C7RKQr8IqqrpUKTXO+RucFXCCSJyITgWHAfHGVhIE/lBWNFpGf4wK31r4MbwHLgGki8k9cUBDKO6oaqNV5DRiJO9/h9lsKvBp0Tjaq6gIAVS302zkb6Ccil/vl0oHAs2hzVPVrv1we7g/5nDBlC+wj0nmPVqj97scFJe/740zCBW4VdQGmi0h7XHC52s8Pdb3NAyaLe+7wNVVdJCJjcNfuZ34/TXFBYDQu89dCW7/+28DWStb5h6qWB02/oa5pfruI7ALa4ILnUJ9xKTBLVXcCiMh0f/wVjQTOA1DVd0Vkqoi09O/9U1X3hynbKnVN6YjIlbjHT8732/s/v71lIrIFF1gCvK+qxX6dlb482RHKOQZXoxzYZ6aItMA135/r9/FPESkOdwKNqQ4LFI2pOXsDL8Q95P4TYLiq7hbXdBr8LNcB/7sMf1+q6v0i8jruD9g8ERkFnI4LVAar6iERyffbEVyNQrQqa6Y6pjzBVPU5EZnty/aeiPwAFzwGuw8XLD8XtM+nVPVXYQslkowLmgar6mYRuZ8j5+k7uOO/EBek9lfVsopFCzEdcr8+sC1R1cA64c6hADer6qwK64/hyHmCMOcqxLbiIdR+BVislT8n+jDwgKq+6Y/hlxD6elPVf/vr7jzged9Uug94W1WvqmrhVXW7iCwChuOC/uDzUvEZx70VpsMde6jPeBzR3RcVP5fg6Yr7D+d1XM1kqO0FC3fNhCun4L43So+a6QLHWO55Y6rEnlE0pnakAcVAkYh0wAU9EYlID1VdrKoP4po7++CCxO0+SDwL6OQXfx+4XERa+XVb+fnFuGauipYDvUSku58ej2tOjIqIdFfVtar6Z+BfwMAK738XV+Px06DZ7wOX+hrQQI/xirU7LXA1pTtEJBW4xC+bhGvW+zfwc1wtUnKIop0tIhk+4LwQV0sWzX7B1Vh2FZHBfrk0v993gJsDNaYi0sfX6EQSz/Mebluhtt1JRIb7cjYVkRNDLJcObBYXafwgMDPU9eZrjLeq6hRgKjAI9w/B6YFjEPd8YqCGNaqy+tq6k3D/SJQDBSLSy9dCXxTFsVYU7jOeg6uhbiXuGdxxYdb/CNdUH/gHIF9Vow0QA0YCgZri4O31wz0msDbCupHK+T4Q/Cxmboh9XEB014gxMbMaRWNqxwLcH/KluOeZPo1indvEdUgpxz3X9S7ueamZIjLfb3MNgKouFpH/BT4SkUO45trrcM/4TRaRW3HPJuKX3+ebwV/xwdDnwOMxHM/3ROQK4CCwBbirwvu34prT5vmaj1dU9Tci8mtc02gjv+6NwMagcu0UkWdw5+krXy5w31Uv+OCxEa45O1RT2ye45u4ewHOqmgeug0yI/W4JXlFVD/hjetQ3tZbgmvQn45oB8/yxbMcFoZFM8fvbpKpjgvYR83lX1W3iOjIswQXlITuK+PKPA/7iz1Nj4A+4ADjYvbjm9nzc9dTBzw91vY0HfiYiB4E9wHhfnuuAl+TIMD534K7FkMcd5CURKcE1eT+uqov8/F8Ab+OuheX+/aip6pJQn7GqzvO10nNwn/f8MJu4G3haRBb747wmyl338U3/gqspvMHP/yvuvlviy/J9VS0Naj6uWP78COW8BXdNXoP7TD/w8+4BXhSRS/28zVGW2ZiYBB5oNsaYek1cb+T+qjox0WUxxpiGwpqejTHGGGNMSFajaIwxxhhjQrIaRWOMMcYYE5IFisaYSonIhyIy1L9+U6LMKSsiV4tIrGMEhtvWb3yPVERkou/ZXJXtxK1MFbabIyJLY1xnqu+AEpi+QkTu9GX8RlyWkZXisp7UC8HXSgLLsCHQA9pPTxaRESJyirisNHkiskJE7q2Bfd8rIrfFe7vGJIoFisY0cBLnHLmqeq6q7q58yfhS1btVNdDjdyKhh8ep787B9f4FN4B6LjACuFNEOtfEDsWpE38LarAsJ+N6FD8D3ODPa39geg3sy5gGpU58ORhjwvM1VSvE5QVeJi4/bwv/Xq6IzBGXo/ZVEcn08z8UkQdE5D/AT3zN1aMi8oG4HLmni8hTfrtTg/b1qBzJR/3rMOXZIC437o1yJJ/zenH5eAM5p1f7fY8Is42jal3E5RHOqeRYp4rIOBH5MS6zzQf+eJL8e0vF5daNpvats4i8LS5X8j1B5fiZ385ScZlkKjv/Q8TlR57N0WPdJYnI/4nLWb1YRH7o54uI/E1czup/4dLQBdYRXMrBBcEF9dk61uKHsRGX43eG3/Y8ERnh558e9HksFDdEDiLy86By/LrCMT3i9/crccMrBcpytYj81b8eL0dyKE8WN6xPZcaLy5m8VI6M61jZZx4oS2cR2SMuX/gif323q+TYs/znslBEJhM04LW4cQxX+8HZ2+JSQaKqZaq6PIqyrRSXt3mxuDzNyX6ZDSLykD83c0UkkHklsI0eIrIgaLqXiHwRxbkzpk6xQNGY+qEX8LCqngjsxg9EjUsB9wtVHQgswY2tFpChqqer6h/8dCZuXMCfAjOBP+FSvg2QI4P43qmqQ3EDaJ8uIkcNpB1MVR/zNTPDcGPy/VHcYOK/xgWIZ+FSvcXrWAP7/QturLkzVPUMXHDVSVX7q+oA4GkAcYHsjWH2MRw3WHEu8N8iMlREhuDGzzsZlzt5gogMqqRMTwM/VtVTK2z/OqBQVYfhzs8EEemGG0y6DzAAmACcFrTOIGCRVuhhKG7g6Oa4sQ0B/gz8yW/7EuAJP/824Bb/mXwLKBGXfrCXP95cYIiIfNsv3wd4VlUH4fIGXxy028twYx72869H+O2W+fNWmZaqehouT/ZTUSx/uCyq+hUuV/ccVT0JN7D0hEqO/R7gE38sr3N0mr6xHKml/ROwStw/VT8UN15mNGWb4u+xIn9MAUWqOhyXTWhS8Eo+TWNh0L11DW7QcmPqFQsUjakf1gcGj8YNpp0jIum4YDCQ2eMZXDaUgJcqbGOmD0KWANtUdYnPirEMlysYXHaLBbjMHCcSXaD3Z+DfqjoTF2R9qKrf+JRjFcsQjWOOtZLl1wHdReSvInIO7o95IJB9LMw676nqTlUtweW1Hul/XlXVvaq6x88PpMOL5vw/F7T9s4HvixuM+XMgCxewfRt40ddmbQH+HbTOObic1gGXicgyf3x/Dso3PAb4m9/260Carz38FBes/9iX65Avx9m4z3MB0Jcjeaq/UtU5/lx9A6wT9wxfFi44+hQYDQzBDZye56cDWWUiedFv9yNfvsqeaT1cFq8UeMO/Dr4Gwh37t4Fpfp//AgqCtvUdfKCoqr8BhuIGE/8eRwLISDapamCA/Gm46+So4/S/K/6zAC6QvcbXwl6GGwzemHrFMrMYUz9UzA9bWQo5CJ8jt7zC9sqBxr7G6zZgmKoWiGuSjljjIiJXA12BHwXNjmbMrUMc/Y9qqLzXEMWx+rKehAsIbgEuBa6tZP/hckKHE6pMkfJrC/D/VPWdo2aKnBthnbM5uvb0JVX9kYicCvxLRN5S1a2483aqD3KD/c43Z58LzBHX8UeAB1V1coVy5HDs9fES7tytxAXM6pvDn1HV28OUOZxQ5zfSZ16xLAeDalaD8yGHPHYJk/fYNxNn+KDcFcTV9D0qIo8D3/jAOFLZQh1LZa8DZuBqO/8NfOEfIzCmXrEaRWPqKVUtxOXIDdR6XUUM+ZpDSMP9wS70z4SNjbSwb6q9DZfWrdzP/hwY5Z8ZawL8d5jVNwCBnMqDgW4xlvVwTmFxvVsbqeoM4FeB7VbiLHF5dVvgUht+imvi/K6IJIvLRXwR8HG4DfgOPYUiEqhhCm6SfQe4yZ8DRKS33+ZHuJzcSb6Z/gz/fjrQOFQgoaqzcbWVP/Gz3iUoMA80bYrL1bxEVR/CpYDr68txrYik+GU6iUhbQnvFn4srOFITPAsYF1jHn7Ou/vWzgecPQ7jMLzMS1wRfSPU/87DHztF5j8fiHrMAd34/CFr+PB/8gqtZLcM9ShCpbF18sA7u3HxS8Tj979kVC+trgd8BHsU/EmFMfWM1isbUbz8AHvM1J+uIPkftMVR1kYgsxDVFR5OP+kdAK1ynEoD5qnq9uCFHZuM6DSwAQnV+mMGRptl5wOoYizsFeEtEvsb1gH5ajvSWvR3cM4r+uEI1P3+CC756Ai+o6ny/zlRc/mOAJ1R1oa99C+ca4CkR2YcLCAKewDWXLvCByTe4IOxV3HOiS3DHHAjszyJMDmfvIb+tB4AfAw+Ly0vcGBck3QhMFJEzcMHPcuAtn/+5HzDbf0Z7cPmbyyruwNfMLgdOUNW5ft5yEbkLeFeO5FC+BZeHeyC+Y0gIBSLyGe6fj0DtbnU/cyIc+69xeY8X4M5pIH/4WODloPWvAv7kP69DwJWqWiYikcq2AviBuE4ya3BBX0AzEfkcV+lyRZgyP497/vPdKhyvMQlnmVmMMSbBROQJXGA6p9KF6wARSQOeVNVwNcZ1gg8cT1bVg1VcPwd4Q1X7h3hvAzBUVXdUso3bgHRV/VVVymBMolmNojHGJJiqXp/oMsRCVYsI/1hBnaGq0TyGUGNE5FWgB64W2Zh6yWoUjTHGGGNMSNaZxRhjjDHGhGSBojHGGGOMCckCRWOMMcYYE5IFisYYY4wxJiQLFI0xxhhjTEj/H9gfUOsnUHKwAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,3))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks(ticks)\n", - "plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n", - "normalizd units: bonded/Reserve, burned/Supply\"\"\")\n", - "\n", - "axis = ax.axis()\n", - "ax.set(xlim=(bound*.99, axis[1]), ylim=(phi, axis[3]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "i am getting like 2.6% limiting slippage for burn to withdraw, need to reverse engineer analytics solution\n", - "\n", - "or Needs debugging" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.025" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "10*phi/4" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.02509430066318874" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "(1-(1-phi)**(1/kappa))*10" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3162" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pdf2.burn_to_withdraw_slippage_fee.apply(np.abs).idxmin()" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tx_fraction 0.000011\n", - "spot_price 0.056234\n", - "mint_price 0.056234\n", - "withdraw_price 0.056234\n", - "mint_price_fee 0.056802\n", - "withdraw_price_fee 0.056802\n", - "bond_to_mint_slippage 0.000004\n", - "burn_to_withdraw_slippage 0.000004\n", - "bond_to_mint_slippage_fee 0.010105\n", - "burn_to_withdraw_slippage_fee -0.010097\n", - "Name: 737, dtype: float64" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pdf2.iloc[737]" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": 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"import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import pandas as pd\n", - "import seaborn as sns\n", - "\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# CIC Initialization Notebook\n", - "\n", - "### Goals\n", - " - Define the Mathematics of the CIC Bonding Curve in formal terms\n", - " - Identify and make explicit the paramters\n", - " - Define the initial state as a function of the parameters\n", - " - Demonstrate the Bonding Curve Shape as a function of the parameters\n", - "\n", - "### Formal Foundations\n", - "For a detailed Treatment of properties of Bonding Curves see:\n", - "[From Curved Bonding to Configuration Spaces](https://epub.wu.ac.at/7385)\n", - "and subsequent Publications on the subject appearing in the Proceedings of IEEE ICBC 2020 and MARBLE 2020.\n", - "\n", - "### System Scope\n", - "Broad Mapping of the Grassroots Economics CIC Ecosystem including the CIC Users, the operators of the CIC Program and the underlying smart contracts:\n", - "![Conservation of Flow](CICecosystem.jpeg)\n", - "\n", - "Zooming in on the Bonding Curve Smart Contract Subsystem:\n", - "![Conservation of Flow](CICecosubsystem.jpeg)\n", - "\n", - "Explicit mapping of Conservation Equations which will regulate the supply of CIC tokens relative to xDAI reserves.\n", - "![Conservation of Flow](GrassrootsEconomicsCICcontractconservation.jpeg)\n", - "\n", - "### Questions to be Answered\n", - " - Choose Parameters which characterize the bonding curve mechanisms: $\\kappa$ and $\\phi$\n", - " - Choose the initial conditions for Supply $S_0$ and Reserve $R_0$\n", - " - Note that due to the Bonding Curve construction its initial conditions partially determine the systems properties." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Bonding Curve Mathematics" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Basic Definitions\n", - "- $R$ = xDai in Reserve\n", - "- $S$ = Total Supply of CIC tokens\n", - "- $P$ = Spot Price of the Bonding Curve$^*$\n", - "- $P \\cdot S$ = Market Cap implied by the Spot Price and Token Supply\n", - "- $\\frac{R}{P \\cdot S}$ = Reserve Ratio in the Liquidity Pool$^\\dagger$\n", - "\n", - "$^*$ The spot price is the limiting price for both the Bond-to-Mint and the Burn-to-Withdraw Mechanisms in the case with no fees. Realized prices account for slippage and fees, see references.\n", - "\n", - "$^\\dagger$ Bonding Curves such as the one being employed by the CIC systems are tools which enforce the Reserve Ratio to be a constant $\\rho \\in (0,1)$, also called the connector weight. In this work we work with the \"curvature\" $\\kappa = \\frac{1}{\\rho} = \\frac{P \\cdot S}{R}$ in order to align notation with associated academic work." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Invariance and Consequences\n", - "Consider the Conservation Function:\n", - "- $V(S,R) = \\frac{S^\\kappa}{R}$\n", - "- As a consquence, $P = -\\frac{\\partial V}{\\partial} = \\kappa \\frac{R}{S}\n", - "\n", - "In the absense of Fees:\n", - "- $V(S,R) = \\frac{S^\\kappa}{R}$ is constant\n", - "- $V(S,R) = V_0$ where $V_0 = \\frac{S_0^\\kappa}{R_0}$ where $S_0$ and $R_0$ are the initial Supply and Reserve, respectively.\n", - "\n", - "![Invariant](CICinvariant.jpeg)\n", - "\n", - "In the presence of Fees:\n", - "- $V(S^+,R^+) > V(S,R)$ for all admissible actions\n", - "- $V(S_t,R_t) > V_0$ for all $t>0$ where the index $t$ is an ordering of all transcations on the contract.\n", - "- Under the invariant enforcing logic with fees, the reserve accumulates relative to the supply, essentially violating the invariant, but in a manner guaranteed to increase $V$. A concept introduced formally in [A State-Space Modeling Framework for Engineering Blockchain-Enabled\n", - "Economic Systems](https://arxiv.org/pdf/1807.00955.pdf) which was presented at the International Conference on Complex Systems, May 2018.\n", - "- Formal properties such as this are implicit in designs being designed and developed in a range of DeFi applications including but not limited to Bancor, Uniswap, Balancer, Fairmint. Such properties will serve as the basis of any formal stability claims over compositions of DeFi subsystems in to higher order financial systems.\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Conservation Function Enforcing Deposit-to-Mint with Fees\n", - " - Deposit $\\Delta R$ xDAI to mint $\\Delta S$ CIC tokens\n", - " - Apply Fee $\\phi$: $\\Delta R' = (1-\\phi) \\Delta R$\n", - " - Conservation equation: $V(R+ \\Delta R', S+\\Delta S) = \\frac{(S+\\Delta S)^\\kappa}{R+\\Delta R'} =\\frac{S^\\kappa}{R}$\n", - " - Derived Mint equation: $\\Delta S = mint\\big(\\Delta R ; (R,S)\\big)= S\\big(\\sqrt[\\kappa]{(1+(1-\\phi)\\frac{\\Delta R}{R})}-1\\big)$\n", - " \n", - "### Conservation Function Enforcing Burn-to-Withdraw with Fees\n", - " - Burn $\\Delta S$ CIC tokens to withdraw $\\Delta R$ xDAI\n", - " - Applying fee $\\phi$: $\\Delta R = (1-\\phi) \\Delta R'$\n", - " - Conservation equation: $V(R- \\Delta R', S-\\Delta S) = \\frac{(S-\\Delta S)^\\kappa}{R-\\Delta R'} =\\frac{S^\\kappa}{R}$\n", - " - Derived Withdraw equation: $\\Delta R = withdraw\\big(\\Delta S ; (R,S)\\big)= R(1-\\phi)\\big(1-(1-\\frac{\\Delta S}{S})^\\kappa \\big)$\n", - "\n", - "### Properties of the Parameters\n", - "- Require $\\kappa >0$; any $\\kappa \\in (0,1)$ is over reserved, $\\kappa =1$ results in a constant price $P=\\frac{R}{S}$ and is essentially a fully reserved system but may still be very useful when composed with other mechanisms (eg Pool tokens in Uniswap instances, the reserve in this case is a unit of liquidity which is the constant product mixture of eth and token), and when $\\kappa > 1$ the properties widely attributed to bonding curves hold. Additionally, the equations simplify significantly for $\\kappa=2$ which makes it an obvious choice when other considerations don't rule it out.\n", - "- Require $\\phi \\ge 0$. When $\\phi=0$ the system is completely discribed by $\\kappa$ and the associated invariant function as above. When $\\phi>0$ it adds friction limiting the conditions under which an agent might choose to swap. It is important to note that this friction compounds with the slippage induced by the conservation law. The slippage is related to the curvature $\\kappa$ via the first order condition for convex functions. \n", - "- Both the slippage and the fee add friction, for large transactions relative to the liquidity pool the slippage dominates the fee, but for small transactions relative to the liquidity pool the fee dominates the slippage. In the case where the distribution of transactions size is estimatable, it may make sense to position the fee based on how strong an effect is desired relative to slippage." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Initialization Equations\n", - "\n", - "- Input $R_0$ xDai to generate $S_0$ initial supply\n", - "- \"Hatch\" sale \"Price\" $p_0$ (xDai per token minted) determines the initial supply: $S_0 = R_0/p_0$\n", - "- The 'Connector Weight' in Bancor terms maps to the concept 'Reserve Ratio' $\\rho=\\frac{1}{\\kappa}=\\frac{R}{P \\cdot S}$\n", - "- The initial spot price $P_0$ once the curve is live is $\\kappa \\frac{R_0}{S_0}$\n", - "- Note that $\\frac{P_0}{p_0} = \\frac{\\kappa R_0/S_0}{R_0/S_0}= \\kappa$ is leverage applied in deploying the bonding curve.\n", - "\n", - "### Inputs from Stakeholder\n", - "- $R_0= 40000$ xDAI\n", - "- Conversion rate between USD and Kenyan Shilling is approximately 1:100\n", - "- assume $P_0 = 1/100$ in order to ensure spot price is the right order of magnitude.\n", - "- leverage rate from past discussions, considering $\\kappa =4$\n", - "- above implies $S_0 = 4 \\times 100 \\times 40000 = 160\\, Million$ for the initial supply of CIC tokens " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Functions" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "#value function for a given state (R,S)\n", - "def invariant(R,S,kappa):\n", - " return (S**kappa)/R\n", - "\n", - "#given a value function (parameterized by kappa)\n", - "#and an invariant coeficient V\n", - "#return Supply S as a function of reserve R\n", - "def supply(R, kappa, V):\n", - " return (V*R)**(1/kappa)\n", - "\n", - "#given a value function (parameterized by kappa)\n", - "#and an invariant coeficient V\n", - "#return a spot price P as a function of reserve R\n", - "def spot_price(R, kappa, V):\n", - " return kappa*R**((kappa-1)/kappa)/V**(1/kappa)\n", - "\n", - "#for a given state (R,S)\n", - "#given a value function (parameterized by kappa and phi)\n", - "#and an invariant coeficient V\n", - "#deposit deltaR to Mint deltaS\n", - "#with realized price deltaR/deltaS\n", - "def mint(deltaR, R,S, kappa, V, phi):\n", - " deltaS = (V*(R+(1-phi)*deltaR))**(1/kappa)-S\n", - " realized_price = deltaR/deltaS\n", - " return deltaS, realized_price\n", - "\n", - "#for a given state (R,S)\n", - "#given a value function (parameterized by kappa and phi)\n", - "#and an invariant coeficient V\n", - "#burn deltaS to Withdraw deltaR\n", - "#with realized price deltaR/deltaS\n", - "def withdraw(deltaS, R,S, kappa, V0, phi):\n", - " deltaR = (R-((S-deltaS)**kappa)/(V0))*(1-phi)\n", - " realized_price = deltaR/deltaS\n", - " return deltaR, realized_price\n", - "\n", - "#for a given state (R,S)\n", - "#given a value function (parameterized by kappa and phi)\n", - "#and an invariant coeficient V\n", - "#computed based on desired withdraw deltaR\n", - "#with realized price deltaR/deltaS\n", - "def withdrawR(deltaR, R,S, kappa, V, phi):\n", - " deltaS = S-(V*(R-(1-phi)*deltaR))**(1/kappa)\n", - " realized_price = deltaR/deltaS\n", - " return deltaS, realized_price" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Variable Declarations" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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\n", 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "R0 = 40 #thousand xDAI\n", - "kappa = 4 #leverage\n", - "P0 = 1/100 #initial price\n", - "S0 = kappa*R0/P0\n", - "p0 = R0/S0\n", - "phi = .01\n", - "\n", - "#initial value of conservation function\n", - "V0 = invariant(R0,S0,kappa)\n", - "\n", - "reserve = np.arange(0,500,.05)\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 (Thousands)')\n", - "ax1.set_ylabel('Supply (Thousands)', 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 xDAI per CIC 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,S0, alpha=.5)\n", - "ax1.scatter(R0,S0, color='red', marker='D')\n", - "# ax1.text(R0+.02*reserve[-1], .9*supp[-1], \"Initial Value R0=\"+str(int(100*R0)/100)+\" million Reserve Units\")\n", - "# ax1.text(R0+.02*reserve[-1], .70*supp[-1], \"Initial Value S0=\"+str(S0)+\" million Tokens\")\n", - "ax1.text(-.4, .9*supp[-1], \"R0=\"+str(int(100*R0)/100)+\" thousand xDAI\")\n", - "ax1.text(-.4, .80*supp[-1], \"S0=\"+str(S0)+\" thousand CIC Tokens\")\n", - "\n", - "#ax1.hlines(S0,0,R0)\n", - "\n", - "# ax2.text(R0+.02*reserve[-1], price[25], \"Initial Value P0=\"+str(spot_price(R0,kappa,V0)))\n", - "# ax2.text(R0+.02*reserve[-1], price[25]/10, \"where P_hatch=\"+str(p0))\n", - "ax2.text(R0+.04*reserve[-1], price[25], \"P0=\"+str(spot_price(R0,kappa,V0))+\" where P_hatch=\"+str(p0))\n", - "ax2.scatter(R0,spot_price(R0,kappa,V0), color=color)\n", - "\n", - "plt.title('Bonding Curve with Conservation Function V = S^'+str(kappa)+'/R')\n", - "fig.tight_layout() # otherwise the right y-label is slightly clipped\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The figure above represents the base case as determined by the originally suggested values by the stakeholder." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax1 = plt.subplots(figsize=(10,5))\n", - "\n", - "cp = 100\n", - "color = 'tab:red'\n", - "ax1.set_xlabel('Supply (Thousands)')\n", - "ax1.set_ylabel('Reserve (Thousands)', 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 CIC 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], \"S0=\"+str(int(100*S0)/100)+\" Thousands of CIC tokens\")\n", - "ax1.text(S0*1.02, .95*reserve[-1], \"R0=\"+str(R0)+\" Thousands of xDAI\")\n", - "#ax1.hlines(S0,0,R0)\n", - "\n", - "ax2.text(S0*1.02, price[3], \"P0=\"+str(spot_price(R0,kappa,V0))+\" where P_hatch=\"+str(p0))\n", - "\n", - "\n", - "plt.title('Bonding Curve with Conservation Function 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": 5, - "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 (without fee)\n", - "burn_price=[withdraw(supply(r,kappa,V0)/1000, r,supply(r,kappa,V0), kappa, V0, 0)[1] for r in reserve]\n", - "\n", - "#realized price for depositing .1% more Xdai into the reserve (without fee)\n", - "mint_price=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0, 0)[1] for r in reserve]\n", - "\n", - "#realized price for withdrawing .1% of the Xdai from the reserve (without fee)\n", - "withdraw_price=[withdrawR(r/1000, r, supply(r,kappa,V0), kappa, V0, 0)[1] for r in reserve]\n", - "\n", - "#realized price for depositing .1% more Xdai into the reserve (with fee)\n", - "mint_price_fee=[mint(r/1000, r, supply(r,kappa,V0), kappa, V0, phi)[1] for r in reserve]\n", - "\n", - "#realized price for withdrawing .1% of the Xdai from the reserve (with fee)\n", - "withdraw_price_fee=[withdrawR(r/1000, r, supply(r,kappa,V0), kappa, V0, phi)[1] for r in reserve]" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "#from IPython.display import Image\n", - "#Image(filename='slippage.jpeg')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "pdf = pd.DataFrame({'reserve':reserve, 'spot_price':price, '.1% mint_price':mint_price,'.1% withdraw_price':withdraw_price,'.1% mint_price w/fee':mint_price_fee,'.1% withdraw_price w/fee':withdraw_price_fee })" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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    30.040.0000560.0000560.0000560.0000570.000057
    40.050.0000660.0000670.0000660.0000670.000067
    \n", - "
    " - ], - "text/plain": [ - " reserve spot_price .1% mint_price .1% withdraw_price \\\n", - "0 0.01 0.000020 0.000020 0.000020 \n", - "1 0.02 0.000033 0.000033 0.000033 \n", - "2 0.03 0.000045 0.000045 0.000045 \n", - "3 0.04 0.000056 0.000056 0.000056 \n", - "4 0.05 0.000066 0.000067 0.000066 \n", - "\n", - " .1% mint_price w/fee .1% withdraw_price w/fee \n", - "0 0.000020 0.000020 \n", - "1 0.000034 0.000034 \n", - "2 0.000046 0.000046 \n", - "3 0.000057 0.000057 \n", - "4 0.000067 0.000067 " - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pdf.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pdf.plot(x='reserve')" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "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']\n", - "pdf['mint_slippage_fee'] = (pdf['.1% mint_price w/fee']-pdf['spot_price'])/pdf['spot_price']\n", - "pdf['withdraw_slippage_fee'] = (pdf['spot_price']-pdf['.1% withdraw_price w/fee'])/pdf['spot_price']" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[,\n", - " ]],\n", - " dtype=object)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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MMuUAYGaWKQcAM7NMOQCYmWXKAcDMLFMOAGZmmXIAMDPLlAOAmVmmHADMzDLlAGBmlin3BTRMxtfo59zMrFP4CsDMLFMOAGZmmXIAMDPLlAOAmVmmHADMzDLVbysgSZcAHwCWR8Quad4pwKeBJ1Kyr0fE7LTsJOA44CXgixFxXZp/EHA2MAq4OCLOaO6hmFk7ueXbmqeRK4DpwEFV5p8VEbumV9+X/87AZOCtaZ1zJY2SNAr4PnAwsDNwREprZmZt0u8VQETcLGl8g9s7FPhJRLwAPCZpAbBHWrYgIh4FkPSTlPaBAefYzMyaYigPgp0g6SjgTmBqRKwExgJzS2kWp3kAiyrm71lto5KmAFMAurq66OnpGUIWB6e3t3fI+506cVVzMlOha4Ohb3u4zmkzzpuZtc5gA8B5wGlApL9nAp8CVCVtUL2qKaptOCIuBC4EmDRpUnR3dw8yi4PX09PDUPd7zDDVh06duIoz5w/tAe6FR3Y3JzMVmnHezKx1BvVNEhHL+qYlXQRck94uBsaVkm4NLEnTteabmVkbDKoZqKQtS28/DNyXpmcBkyWtJ2k7YAJwO3AHMEHSdpLWpbhRPGvw2TYzs6FqpBnoZUA3MEbSYuBkoFvSrhTVOAuBzwBExP2SZlLc3F0FHB8RL6XtnABcR9EM9JKIuL/pR2NmZg1rpBXQEVVm/6BO+tOB06vMnw3MHlDuzMxs2Lg76AwN9oGdhWe8v8k5MbN2clcQZmaZcgAwM8uUA4CZWaYcAMzMMuUAYFaFpEskLZd0X2neKZIel3RPeh1SWnaSpAWSHpJ0YGn+QWneAknTWn0cZvU4AJhVNx33gmsjnJuBmlXhXnAtBw4AZgMzYnvBHapm9oDbjF5vK62J57TPcPW06wBg1rgR3QvuUDWzB9xm9Hpbabh6wW2F4epp1wHArEHuBddGGt8ENmuQe8G1kcZXAGZVuBdcy4EDgFkV7gXXcuAqIDOzTDkAmJllygHAzCxTDgBmZpnyTWAzy8JgRsIb6aPg+QrAzCxTDgBmZplyADAzy5QDgJlZphwAzMwy5QBgZpYpBwAzs0w5AJiZZcoBwMwsUw4AZmaZcgAwM8uUA4CZWaYcAMzMMuUAYGaWKQcAM7NMOQCYmWXKAcDMLFP9BgBJl0haLum+0rzNJM2R9Ej6OzrNl6RzJC2QdK+k3UrrHJ3SPyLp6OE5HDMza1QjVwDTgYMq5k0DboyICcCN6T3AwcCE9JoCnAdFwABOBvYE9gBO7gsaZmbWHv0GgIi4GVhRMftQYEaangEcVpr/wyjMBTaVtCVwIDAnIlZExEpgDqsHFTMza6HBDgrfFRFLASJiqaQt0vyxwKJSusVpXq35q5E0heLqga6uLnp6egaZxcHr7e0d8n6nTlzVnMxU6Npg+Lbdn/7OSTPOm5m1zmADQC2qMi/qzF99ZsSFwIUAkyZNiu7u7qZlrlE9PT0Mdb/HTPtlczJTYerEVZw5v9n/tsYsPLK77vJmnDcza53BtgJalqp2SH+Xp/mLgXGldFsDS+rMNzOzNhlsAJgF9LXkORq4qjT/qNQaaC/g6VRVdB1wgKTR6ebvAWmemZm1Sb91CZIuA7qBMZIWU7TmOQOYKek44M/A4Sn5bOAQYAHwPHAsQESskHQacEdKd2pEVN5Y7ljjh6k6x8ysnfoNABFxRI1F+1dJG8DxNbZzCXDJgHJnZmbDxk8Cm1XhByAtBw4AZtVNxw9A2gjnAGBWhR+AtBw4AJg17jUPQAJNewDSrB3a80SR2cgy5AcgO+EJ+KFq5hPq7XzivaxT/g/D9ZS9A4BZ45ZJ2jJ1f9LoA5DdFfN7qm24E56AH6pmPv3ezifey/p7+r1Vhuspe1cBmTXOD0DaiNL+EGvWgfwApOXAAcCsCj8AaTlwFZCZWaYcAMzMMuUAYGaWKQcAM7NMOQCYmWXKAcDMLFMOAGZmmXIAMDPLlB8Es4b1NzTm1ImrVusPZuEZ7x/OLJnZEDgAmNlqPA52HlwFZGaWKQcAM7NMOQCYmWXKAcDMLFMOAGZmmXIAMDPLlAOAmVmmHADMzDLlAGBmlikHADOzTDkAmJllygHAzCxTDgBmZplyADAzy5S7gzYzq2Ew3WKvSWNg+ArAzCxTDgBmZpkaUgCQtFDSfEn3SLozzdtM0hxJj6S/o9N8STpH0gJJ90rarRkHYGZmg9OMK4D3RMSuETEpvZ8G3BgRE4Ab03uAg4EJ6TUFOK8J+zYzs0EajiqgQ4EZaXoGcFhp/g+jMBfYVNKWw7B/MzNrwFBbAQVwvaQALoiIC4GuiFgKEBFLJW2R0o4FFpXWXZzmLS1vUNIUiisEurq66OnpGWIWB663t/c1+506cVXL81BL1wadlZ+yanlrx//PzBoz1ACwd0QsSV/ycyT9oU5aVZkXq80ogsiFAJMmTYru7u4hZnHgenp6KO/3mEE0BRsuUyeu4sz5ndl6t1reFh7Z3Z7MmFm/hlQFFBFL0t/lwJXAHsCyvqqd9Hd5Sr4YGFdafWtgyVD2b9YObvxgI8WgA4CkDSVt3DcNHADcB8wCjk7JjgauStOzgKPSB2Iv4Om+qiKzNZAbP9gabyh1CV3AlZL6tnNpRPxK0h3ATEnHAX8GDk/pZwOHAAuA54Fjh7Bvs05zKNCdpmcAPcDXKDV+AOZK2lTSlv7xY51g0AEgIh4F3l5l/l+B/avMD+D4we7PrIOMyMYPZe1uaNDJjR36Mxz/u8qGKc3SmXcTh0mj/XpMnbiqo278WscZkY0fytpd/ju5sUN/hqPhQ2XDlGZxVxBmA+TGDzZSOACYDYAbP9hIsmZeY5m1jxs/2IjhAGA2AG78YCOJq4DMzDLlAGBmlikHADOzTDkAmJllyjeBbViN9EG1zdZkvgIwM8uUA4CZWaYcAMzMMuUAYGaWKQcAM7NMOQCYmWXKAcDMLFN+DsBshBvMsxiWB18BmJllygHAzCxTDgBmZplyADAzy5QDgJlZptwKyMysidakHnB9BWBmlikHADOzTDkAmJllygHAzCxTDgBmZplaY1sBuX8TM7Oh8RWAmVmmHADMzDK1xlYB2ci1Jj1IY7Ym8xWAmVmmHADMzDLlAGBmlqmW3wOQdBBwNjAKuDgizmh1HsxaqVll3k2frdlaGgAkjQK+D/wDsBi4Q9KsiHiglfkwaxWXeWtEf8F96sRVHFMlzVAbP7S6CmgPYEFEPBoR/w38BDi0xXkwayWXeetYra4CGgssKr1fDOxZTiBpCjAlve2V9FCL8vaKL8IY4MlW77cRzlt1+te6i3dqUTaq6bfMQ2eU+07SyeW8HWqdjzrlfttGttvqAKAq8+I1byIuBC5sTXaqk3RnRExqZx5qcd4GTtKd7dx9lXmx2owOKPedpFPLUrsM1/lodRXQYmBc6f3WwJIW58GslVzmrWO1OgDcAUyQtJ2kdYHJwKwW58GslVzmrWO1tAooIlZJOgG4jqJJ3CURcX8r89CgTr4Ud94Grm35WoPKfKfp1LLULsNyPhSxWnWkmZllwE8Cm5llygHAzCxT2QYASetLul3S7yXdL+nbVdIcI+kJSfek1/9qYf5GSbpb0jVVlq0n6XJJCyTdJml8q/LVQN7aec4WSpqf9rta008Vzknn7V5Ju7Uqb9a4euUrR/2V66HIeTyAF4D3RkSvpHWA30q6NiLmVqS7PCJOaEP+vgQ8CGxSZdlxwMqI2EHSZOBfgY93SN6gfecM4D0RUesBooOBCem1J3AeVR7Ksrbrr3zlqF65HrRsrwCi0JverpNeHXFHXNLWwPuBi2skORSYkaavAPaXVO2Bo3bkrZMdCvww/e/nAptK2rLdmbJXreHla42TbQCAVy417wGWA3Mi4rYqyf4xVRdcIWlcleXD4T+ArwIv11j+SvcCEbEKeBrYvDVZ6zdv0J5zBkUAv17SvNS1QqVq3TKMbUnOrFGNlK/c9FeuBy3rABARL0XErhRPZ+4haZeKJFcD4yPibcANvPqre9hI+gCwPCLm1UtWZd6wX700mLeWn7OSvSNiN4qqnuMl7VuxvC3nzRrTYPnKUX/letCyDgB9IuIpoAc4qGL+XyPihfT2ImD3FmRnb+BDkhZS9Bz5Xkk/qkjzSvcCktYGXg+s6IS8temc9e17Sfq7HLiSoifOMnfL0NkaKfvZaaBcD1q2AUDSGyRtmqY3AN4H/KEiTbl++EMUN6aGVUScFBFbR8R4im4Dfh0Rn6hINgs4Ok1/NKUZ9l+yjeStHecs7XdDSRv3TQMHAPdVJJsFHJVaA+0FPB0RS1uRP+tfg2U/Kw2W60HLuRXQlsCMNGDHWsDMiLhG0qnAnRExC/iipA8Bqyh+YR/TrsxW5OsHwP+VtCDla3K78lUlb+06Z13Alele+NrApRHxK0mfBYiI84HZwCHAAuB54NgW5c1ssKqW62Zt3F1BmJllKtsqIDOz3DkAmJllygHAzCxTDgBmZplyAKhC0iWSlktqSnMrSb+S9FRl51aSfizpIUn3pX2u0+D2+u3ILqU7q9Qp28OSnqpYvomkxyX9Z2nex9NTvPdL+m5p/j9JeiAtu1HStqVltY7vvZLuSsc3Iz2zgKQ3S/qdpBckndjIMTdK0kclhSSPJztAOZR7SS+Vls0qzd9ORceKj6joaHHdBrb13ZSPB1V0Mqg0/3RJiyT1UkHSx9Ln6H5JlzZy3A2emxNTuR8zoBUjwq+KF7AvsBtwX5O2tz/wQeCaivmHUDydKuAy4HNV1p0OdFfME7BRml4HuA3Yq588fIFiNKryvLOBS4H/TO83B/4MvCG9nwHsn6bfA7wuTX+OosO3msdH8eNiEbBjen8qcFya3gJ4J3A6cGIT/28bAzcDc4FJ7S5Ha9orh3IP9NZINxOYnKbPr5GnV7YF/A/gVopR3kYBv+vLL7AXRTPz3or1JwB3A6PT+y2adJ7HUYw49ydgzEDW9RVAFRFxMxVP1kp6U/pFM0/SLZLePIDt3Qg8W2X+7EiA2ymeTG1kexED78juCIoPGwCSdqdoY3x9Kc32wMMR8UR6fwPwj2mfv4mI59P8ueW81ji+zYEXIuLh9H5OaVvLI+IO4MXKTEr6RPqVd4+kC9JzGo06Dfgu8PcBrGNJDuW+mvTL/b0UHStC8cPnsH62FcD6wLrAeikvy1I+50b1Bww/DXw/IlamdMtLefiKpDvSFXbVK5s6zqLoP2nAbfodABp3IfCFiNgdOBE4t1kbTpfAnwQafsBDjXVk15d2W2A74Nfp/VrAmcBXKpIuAN4saXyqrjmM13ad0Oc44Np+svgksE6pKuajNbZVzudbKLq13juKPppeAo7sZz99674DGBcR7kO+uUZMuU/Wl3SnpLmS+r7kNweeiqJjRajSSWDltiLid8BvgKXpdV1E9PfU+47AjpJuTfs/KG37AIqrgz2AXYHd1WB/Pyoeunw8In7fSPpKOT8J3DBJG1Fc8v1Ur/a6vF5a9hGK6o1Kj0fEgQ3u4lzg5oi4JW3zQIo+/gG2Ad6d6hNfiIg9oejIDthVRXcWV0raJSJq1d1OBq5I6wB8HpgdEYtKx0NErJT0OeByit4Y/x/FVcErJH0CmATsV++AIiJUjFVwlqT1KK40VtVbh6LKYHfgjpSvDSg+6Ej6IUX1RKVzKS7Zz6KNT2qPRCOw3ANsExFLJG0P/FrSfOCZKutW/pp+zbYk7QC8hVevXuZI2jddRdWyNsUXfXda7xYVHVAekF53p3QbpXQ3S7oBeGOVbX2D4qr6G2ndQXEAaMxaFL8Qdq1cEBE/B34+2A1LOhl4A/CZ0javo6jTQ9J0YHpE9FRbPyKektRD0ZFdvQ/C8aX37wL2kfR5isK2rqTeiJgWEVdT9OiJiq5nX/nwSHofRYHbL17t8K2m9Ctpn7TuARS/gOoRMCMiTqqyraNqriS9HtgF6ElfVG8EZkn6UEQ0dQSlzIy0ck+82rHao2n9dwA/oxgbYu10FVCtk8DKbX0YmNtXJSXpWoq6/3oBYHFa50XgMUkPUXzRC/iXiLigynG+r9bGJE2kuCr5fSr3WwN3SdojIv5SJx+vcBVQAyLiGYp/2OHwytCCbx/qdlUMl3ggcERENNz/uRroyK6UdidgNMVNKgBNhluHAAABoklEQVQi4siI2CaKTrdOpBgkZVpKv0X6O5riSuHi9P4dwAXAh8p1l/3ks29b6wFfo/ilXs+NwEdL622mUmujWiLi6YgYExHj0zHNTfn0l/8QjLRyL2l0Kouk1jJ7Aw+kexG/oaimhKKjxavqbYuiscR+ktZOVVn70X/Hh7+gaEzRt/8dgUcpgt6n0hUXksb2fQbqiYj5EbFFqdwvBnZr9Mu/byN+rX5X/TKKer0X00k9jiLS/gr4PfAA8K0BbO8W4Angb2l7B6b5q4A/Avek12rbpHpriLdRXC7eS/Hr51ulZadSfPn1vT8FOKNO3o4htQIqHfsD6TW5NP8GiptcfXmd1cDx/RvFh+Ih4Mul9G9M6Z4BnkrTm6RlH0/bvxeYRz+tPGocUw9uBeRyX1HuKaqz5qdjmU9qlZaWbU9xQ3oB8FNgvX62NYriB9GD6bx8r7Tsu+l4X05/T0nzBXwvpZ9f8fn6Upo3nyLQvGkQ/7+FDLAVkDuDMzPLlKuAzMwy5QBgZpYpBwAzs0w5AJiZZcoBwMwsUw4AZmaZcgAwM8vU/wcXN5IPN7G6LQAAAABJRU5ErkJggg==\n", 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pdf[['mint_slippage', 'withdraw_slippage']].hist()\n", - "pdf[['mint_slippage_fee', 'withdraw_slippage_fee']].hist()" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/anaconda3/lib/python3.6/site-packages/ipykernel_launcher.py:43: RuntimeWarning: invalid value encountered in double_scalars\n" - ] - } - ], - "source": [ - "#given V0 and kappa\n", - "R = 400\n", - "S = supply(R,kappa,V0)\n", - "p = spot_price(R,kappa,V0)\n", - "#sweep the transaction fraction\n", - "TXF = np.logspace(-6, 1, num=5000)\n", - "\n", - "#realized price for withdrawing txf of Xdai\n", - "withdraw_price2=[withdrawR(R*txf, R,S, kappa, V0, 0)[1] for txf in TXF]\n", - "withdraw_price2_fee=[withdrawR(R*txf, R,S, kappa, V0, phi)[1] for txf in TXF]\n", - "\n", - "#realized price for depositing txf more Xdai into the reserve\n", - "mint_price2=[mint(R*txf, R,S, kappa, V0,0)[1] for txf in TXF]\n", - "mint_price2_fee=[mint(R*txf, R,S, kappa, V0,phi)[1] for txf in TXF]" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "pdf2 = pd.DataFrame({'tx_fraction':TXF, 'spot_price':p*np.ones(len(TXF)), 'mint_price':mint_price2,'withdraw_price':withdraw_price2, 'mint_price_fee':mint_price2_fee,'withdraw_price_fee':withdraw_price2_fee })" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "pdf2.plot(x='tx_fraction',y=['mint_price','withdraw_price','mint_price_fee','withdraw_price_fee','spot_price'], logx=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "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']\n", - "\n", - "pdf2['bond_to_mint_slippage_fee'] = (pdf2['mint_price_fee']-pdf2['spot_price'])/pdf2['spot_price']\n", - "pdf2['burn_to_withdraw_slippage_fee'] = (pdf2['spot_price']-pdf2['withdraw_price_fee'])/pdf2['spot_price']" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "ticks=[10**k for k in range(-6,1)]\n", - "bound = .026 #need to figure out this analytically in terms of kappa and phi" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "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": 17, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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uAj5V1aUishi4YQuK5SE1NZU5c+Zc1YLiH//4xxLDxMbGEh0dXeqCoquIiAgiIiIu+3zDMAzDKMmFS9nsOZpG7BG7YHj4136FlbyElvWqMSK8PuF2obBp7ap4eZVv3/KbrqAIzAPeAj7O3SEi3sDbwEAgEdgmIl8BwcBuO1hOWST+/NIf2XvsbFlElad1/epMG96mxHDZ2dmMGzeOHTt20Lx5cz7++GM2b97MlClTyM7OpkuXLrzzzjv4+fkRGhrKuHHjWLp0KVlZWXzyySe0bNmS5ORkRo8ezenTp+natWuxQ+ufeuopDh48SHh4OAMHDuTVV1/liSeeYMWKFYgIzzzzDPfdd5/bc6Oiopg2bRp169YlNjaWu+66i3bt2vH666+Tnp7OF198QdOmTZk+fTpVq1ZlypQp9O3bl27durF27VpSU1P54IMP6NatG8899xzp6els3LiRqVOnuk1z3bp1/OUvfwGsAR3r168vlJ9Zs2axbNkypk+fzsGDBzl69ChHjhzhiSeeYMKECURFRfHcc88RFBREXFwckZGRzJkzBy8vLyZNmsS2bdtIT09n1KhRPP/88wAsX76cxx57DIfDQadOnYiPj2fZsmVcuHCBRx99lN27d5Odnc306dO58847S3zGhmEYxo0hx6nsP3mOnUesmsLYI6nsP3kOuwWZkFqV8/oVdmxYgzb1A/H38S7fTLtx0xUUVXW9iIQW2N0VOKCq8QAi8l/gTqxCYzAQi4er1MTFxdG3b998+1599VUAcnJySElJIT39Ur7jlSr54OPjg6qSkZFeKE4fH18qVapU5PFLl/wAaxqeX34pvLZ3vXr18vI2bdo0nn766byfxYsXs3z5cjp27MgDDzzA888/z7hx48jKyiInJ4dFixaxYsUKZs2axWuvvcbkyZNp2bIlb775JlFRUbz33nt5E4mnpqZy8uTJvHQnTJjA9u3b2bp1K76+vsybN4/vv/+eJUuWkJKSwj333EP9+vW59dZb8fHxISkpieTkZAAOHz7Mjh07+Prrr+ncuTPNmjVj9OjRzJ8/n48//pgXXniBp59+mqSkJKpWrQpAZmYmp06dYv78+axbt44nn3ySefPm8cILLxAdHc3TTz/NuXPniIuLy8ujt7c3YWFhzJo1i2nTptG6dWsuXLjA4cOHOXHiBJmZmXlh09PTiYuLIykpiW3btrF48WJycnK48847GTp0KCdOnGDLli18/fXX1K9fnwkTJvDuu+8yadIkXnrpJVJTU8nIyGD8+PF07tyZ0NBQHnzwQTZt2kTjxo0ZNmwY58+fJy4ujtdee41WrVoxY8YMAgIC6Nq1K40aNaJy5cr5nm1gYCC33HJL3vMtqGbNmtSpU4ecnBwOHDhQ6HhQUBAOh4OsrCzi4+MBOHHiBJMmTQJg0qRJ3HfffRw5coSxY8cWOv/xxx9n+PDhxMXF8dBDDxU6/swzzzBgwABiY2OZPHlyoeMzZ86kR48efP/99zz99NOFjs+ePZvw8HC+/fZbZsyYUej4u+++S4sWLVi6dCn/+EfhLtnz588nJCSExYsX88477xQ6/umnn+JwOJg3bx7z5s0rdHz58uUEBAQwZ84clixZUuh4VFQUQN4fEa4qV67MihUrAHjxxRdZs2ZNvuNBQUF89tlnAEydOpXNmzfnOx4cHMyCBQsAmDx5MrGxsfmON2/enPfeew+AiRMnsn///nzHw8PDmT17NgBjxowhMTEx3/Hu3bvz8ssvA3D33XfnffZy9e/fn2effRaAIUOGkJ6e/7tn2LBhTJkyBaDQdx7Avffey8MPP8zFixfd1uaPHz+e8ePHk5SUxKhRowodN++eeffg5nr3cipV5lK1+tw69AFO5gQQe/gMl+wqKK/sdHzPn6Da+eM8+sBwRkZ2ZMcPG5gx46/sBha4xH+1373SuukKikVoABxx2U4EugFvAG+JyFBgaVEni8hEYCKAn59fsQlN6la70D53v6xd1a5dm1q1apGZmcmhQ4cKHa9bt26xaeYKDg6mU6dOAIwYMYI5c+YQHBxMs2bNAHjggQd44403GDduHACDBg0CoGPHjnlfRNHR0bz55puA9QENDAz0KG2ALVu2MHToULy9vXE4HHTp0oU9e/Zw6623ug3frl076tSpg5+fH02bNs37QmjevDlbtmxxe05untu0acPRo0c9zlvPnj154YUXuOOOOxg0aBBVqlQpNnz//v3x9/fHz8+Pfv36sXXrVgDat29PSEgIAEOHDiU6OhqAJUuW8NZbb5GVlcXp06c5cOAATqeThg0b5k1uPXz4cBYtWgTApk2bWLt2LfPmzcPHx4eMjAyOHz9OkyZNPL4mw6hIcgsz4eHh5ZwT41q6Xp97do6T+JRMztYN51LV+lyqVp9s/5oAfH0wg7YN/Ojb0I+YVZ/hd+E4lTJSyW1Ajqh/D0FViy9LXFdU9ab7AUKBPS7b92D1S8zdHgu8Wco4hwPvhYWFaUF79+4ttO9aO3TokDZs2DBve82aNdq3b1/t3bt33r5vv/1WR44cqaqqjRo10tOnT6uq6rZt27RPnz6qqtqhQweNj4/PO6dmzZp54dyl2aZNm7ztv/zlL/rBBx/kbY8ZM0a//PJLt+euXbtWhw4dmrfdp08f3bZtW6Fj06ZN07///e+Fwpw+fVobNWqkqqpz587VP/3pT0Xdmjy7du3SV155RRs0aKD79u3Ll/+CaT733HN5540dO1a/+OILXbt2rUZGRubt/+CDD3Ty5MkaHx+vTZs21TNnzqiq6rhx43Tu3Lm6ffv2fOG//PLLvDQ6deqkP/30U4l5vhquh/fVMEqrT58+ed9TRsVxvTz3M+cv6Zp9J/TvK3/S+9/drK2eXaGNnlymjZ5cpp1fXK0TPtqm/4o6oFsPJWt6ZnZ5ZzcfIFqvoEzlUXPrTSARCHHZDgaOlVNerprDhw/nNTEsWrSIAQMGkJCQkNckOX/+fPr06VNsHJGRkSxcaI3pWbFiBSkpKUWGrVatGufOnct3bm5z7enTp1m/fj1du3a90ssqUcF8uHPw4EHatWvHk08+SUREBD/99FOx4b/88ksyMjJITk4mKiqKLl26ALB161YOHTqE0+lk8eLF9OrVi7Nnz1KlShUCAwM5efJkXpNQy5YtiY+PJyEhAYDFixfnxX/77bfz5ptv5vUB3bFjx+VevmEYxk2rYUAGdzc4BZkXSg5cRnKcyk8nzrJwyy88vmQnt82KouOLq/n9vGjeWXeQ85eyuadzMK/fH86GJ/qx7X/7895vI3ioT1O6hNa6LvsZXomK0vS8DWgmIo2Bo8D9wAPlm6Wy16pVKz766CMeeughmjVrxuuvv86tt97KPffckzeYpaRRxNOmTWP06NF06tSJPn360LBhwyLDBgUF0bNnT9q2bcuQIUN49dVX2bx5Mx06dEBEePXVV/P6111N/fr145VXXiE8PLzIwSyzZ89m7dq1eHt707p1a4YMGcLx48eLjLNr164MHTqUw4cP8+yzz1K/fn32799P9+7deeqpp9i9ezeRkZGMHDkSLy8vOnbsSJs2bWjSpAk9e/YErH5Ec+bMYfDgwTgcjnyF5meffZbJkyfTvn17VJXQ0NBC/ZAMwzAqNFXGhx6nR1AaZF8C3+K7DF2usxlZbP8lxfo5bA06OW9PTxNUxZeODWsyKiKYTg1r0j44kADfilJ0skhujcbNQkQWAX0BB3ASmKaqH4jIHcBsrOlxPlTVl0oZb+4SfhN+/vnnfMf27dtHq1atyiL7xnXAdaS1K9eR0Z46f/48VatWRVX505/+RLNmzfjrX/9a1lkuFfO+GjeiiRMnAuQNsjBuclnpsOIJ2P4xX55ty52vbSqzqI+npbMtIYXohDNsS0jhpxNnUbWWvWt5S3U6NapBp4Y16dyoJg1rBdzwS5+KSIyqXvb8bzddsVhVRxexfzmw/AriNUv4GaX2/vvv89FHH5GZmUnHjh3djqAzDKNkpoBYQajCwe9g+RQ4Ew+9H+fO25697OicTuXA6fNsPXQmr2B4NNUaZV3F15tOjWoyuX9zIkJrEh5SI2/ZO+NXN12N4tVSkWsUk5OT6d+/f6H9a9asISgoqNhzd+/eXWj6AT8/vyJHNV+puXPn8vrrr+fb17NnT95+++2rkt6N6GZ/Xw3DuAGpwqH1EPUyHN4MNRvD8NnQpG+pormUncPuxLS8GsPoX1JIS88CoHY1P7qG1iIitCZdQmvR8pZqVPK++YdqXGmNoikollJERITmTomSy/ziNW4k5n01bkSm6fkmlX0JfvwCtr4HR6OhWj3o/Th0HAs+/iU+97SLWcQcPpNXMNyZmEZmthOAprWr0CW0Vt5PSK3KN3wz8uUwTc/XiEuNYnlnxTAMo8IpOOmzcYNLPQIxcyHmI7iYBEHN4I5ZeQXEXAWf+6mzGfxw6AxbDyWz7VAKcSetGS8qeQntggMZ3yOUiEZW/8Ibaq7C65gpKHrI9FE0DMMwjCtw6Tzs+wp2LoJDG0AEmg+BrhOsJmY3tX3ZvtXIqB7CU5/tYsuhMxxKsqbJqepXic6NajK8Qz0iQmvRIbgGlX1vrmlprhemoGgYhmEYxtXhzLH6Hu78r1VIzLpo9T/sOxXCR0ONX6dgU1USU9L5IT6ZLYfOsOVQMomdrCndlu8+TtfGtXiga0O6NalF63rVK0T/wuuBKSh6yDQ9G4ZhGIYHnE5I3AZ7v7D6H547Bn6B0P5e6DAaQrqBCKpKQtIFtuQWDOOTOZaWAUDNAB+6Nq7Fhe3L8DubyMZli/H2qnj9C68HpjjuIVVdqqoTS7P28bWUkJBA27Ztr1l6M2fOvGpx33HHHaSmppKamsqcOXPy9kdFRTFs2LASz/c03NXSt2/fvDWgc6/FMIwrEx4eft2t92u4cDrh8BZYORVmt4UPB8G2f0P9cBg1F6bsR4fN5oB/GxZsOcyji3bQbeYa+s2K4qn/282Gn0/TsWFNXrizDd9MjiTmmYG8OzaCyFucdGte3xQSy5GpUTTIzs6mUqXSvQozZ87k6aefvir5Wb7cmu4yISGBOXPm8PDDD5dJvJdznVcq91oMw7gys2fPLu8sGAW51hzu/RLOHgVvXwgbAAOmo81v50CaF5vjk/lhyY9sPXSGpPOZANSt7setTYLo1qQW3RoH0bR2Fbcjks1zL3+moFjWVjwFJ3aXbZy3tIMhr5QYLDs7m3HjxrFjxw6aN2/Oxx9/TOvWrYmOjsbhcBAdHc2UKVOIiopi+vTpHDt2jISEBBwOB4MGDeKrr77i4sWLHDx4kJEjR/Lqq6+6Teepp54iPT2d8PBw2rRpw8KFC3nttdf48MMPAXjwwQeZPHmy23NfffVV/P39+fOf/8xf//pXdu7cyXfffceaNWuYO3cuCxYsIDQ0lOjoaJ566ikOHjxIeHg4AwcOZOjQoZw/f55Ro0axZ88eOnfuzIIFCxARVq5cyeTJk3E4HHTq1CkvvYLXOXPmTMaOHcuFC1aH6LfeeosePXrw8MMPM3jwYEaMGMHIkSOpWbMmH374IR988AGHDh1ixowZha7lwoUL3HvvvSQmJpKTk8Ozzz5baPnA3Gs5f/48gwcPplu3bvmeT0BAAKGhodx3332sXbsWgP/85z+EhYWxdOlSZsyYQWZmJkFBQSxcuJC6dety+vRpHnjgAZKTk+nSpQsrV64kJiYGh8PBggULeOONN8jMzKRbt27MmTMHb2/TwdswjDKSnQm/bISflkPc8nyFQ+0/jSN1+rDpSCbf/5jM5q+2kXT+EgANalQmslntvIJho6Abf8WTiqLcm55FpJeI/M7+f217PebrjogMF5H30tLSyjsrRYqLi2PixIns2rWL6tWr52u2dScmJoYvv/yS//znPwDExsayePFidu/ezeLFizly5Ijb81555RUqV65MbGwsCxcuJCYmhrlz57JlyxZ++OEH3n//fXbs2OH23MjISDZs2ACQV4DKyspi48aN9O7du1A6TZs2JTY2lr///e8A7Nixg9mzZ7N3717i4+PZtGkTGRkZTJgwgaVLl7JhwwZOnDhR5HXWqVOH1atXs337dhYvXsyf//znQvk6evQoe/fuBXCbr1wrV66kfv2GbIZ0AAAgAElEQVT67Ny5kz179jB48OBi73dxz6d69eps3bqVRx55JK+Q3atXL3744Qd27NjB/fffn1dwf/7557ntttvYvn07I0eO5PDhw4A1P+LixYvZtGkTsbGxeHt7s3DhwmLzZBg3ijFjxjBmzJjyzkbFlHEW9nwGn/4B/h4G80fCjgVQL5yUwW/z5cANPO79FL1W1Cby9Rim/t9utsQn0yssiP93dzvW/60fm566jdfuC+e+Lg0JdbivPXTHPPfyV641iiIyDYgAWgBzAR9gAdCzPPPljsfT43hQ83e1hISE0LOndevGjBnDG2+8UWz4ESNGULly5bzt/v37k9sHs3Xr1vzyyy+EhISUmO7GjRsZOXIkVapYC7bfddddbNiwgY4dOxYK27lzZ2JiYjh37hx+fn506tSJ6OhoNmzYUGJ+Abp27UpwcDBg9VlKSEigatWqNG7cmGbNmuVdu+vkrK7XmZWVxSOPPJJXkMqdo6t37955BdDWrVuTkpLC8ePH2bx5c5H5ateuHVOmTOHJJ59k2LBhRRYoc7l7PrnrSY8ePTrv39y1oBMTE7nvvvs4fvw4mZmZNG5s/Q21ceNGPv/8cwAGDx5MzZo1AWulnJiYGLp06QJAeno6derUKfGeGsaNIDExsbyzULGcPWbVGP603Bq17MyCAAcZzYayq2pPlp1vwYaECxzaeQE4SM0AH7o3DeKPfZvSvUnRTcmlZZ57+SvvpueRQEdgO4CqHhORauWbpRtXwQ+liFCpUiWcTmuW+oyMjHzHcwt2ufz8fp2c1Nvbm+zsbI/SLc3qPj4+PoSGhjJ37lx69OhB+/btWbt2LQcPHvRotZCi8ljcF5Lrdf7zn/+kbt267Ny5E6fTib+/NbFrgwYNSElJYeXKlURGRnLmzBmWLFlC1apVqVbN/SvZvHlzYmJiWL58OVOnTmXQoEE899xzRebD3fMp7v+PPvoojz32GCNGjMjrLgBF329VZdy4cbz88stF5sEwDMMtVTi1D+K+hp++hmNWq1BOjcYcDhvLWrrwyYl67Iu+CEA1vzN0a1KL/+nWkB5NHbS8pRpeZsDJTcmjpmcR6VTc9hXIVOu3ntrxVikhfJkTkSYi8oGIfHqt0y5rhw8fZvPmzQAsWrSIXr16ERoaSkxMDACfffZZmaXl4+NDVpa1fmZkZCRffPEFFy9e5MKFC3z++efF1q5FRkYya9YsIiMj6d27N//6178IDw8vVJCqVq0a586dKzEvLVu25NChQxw8eBCwrr0oaWlp1KtXDy8vL+bPn09OTk7ese7duzN79uy8fM2aNavY6zh27BgBAQGMGTOGKVOmsH379mLz6e755Fq8eHHev927d8/La4MGDQD46KOP8sL26tWLJUuWALBq1SpSUlIAq0b4008/5dSpUwCcOXOGX375pdg8GYZRgWVnwsG11kjlN8Lhne7w3QzSLjlZGzyJSYFzCDs5g367BvDqvpo4AgN4YnALvvhTT3Y8N5B/j+vCg72b0Lp+dVNIvIl5WqM4CZhQzPblWiIi7wI1RGQC8HvgfU9PFpEPgWHAKVVt67J/MPA64A38W1WLbA9W1XjgDzdDQbFVq1Z89NFHPPTQQzRr1oxJkybRtWtX/vCHPzBz5ky6detWZmlNnDiR9u3b06lTJxYuXMj48ePp2rUrYA1mcdfsnKt379689NJLdO/enSpVquDv7++2QBYUFETPnj1p27YtQ4YMYejQoW7j8/f357333mPo0KE4HA569erFnj173IZ9+OGHufvuu/nkk0/o169fvtrG3r17s2rVKsLCwmjUqBFnzpwptqC4e/du/va3v+Hl5YWPjw/vvPNOkWHB/fPJdenSJbp164bT6cwr6E6fPp177rmHBg0acOutt3Lo0CEApk2bxujRo1m8eDF9+vShXr16VKtWDYfDwYwZMxg0aBBOpxMfHx/efvttGjVqVGy+DMOoQM6dgJ9Xwf5vID4KMs/j9PIloXoEq6oN4+PkVhw7WhNfby86NqzBX/oH0aOpgw4hgfhVMgPjKiIpTbPhVcmAyEBgECDAN6q6uhTnRgLngY9zC4oi4g3sBwYCicA2YDRWobFgm9zvVfWUfd6nqjqqpDQjIiI0d468XPv27fOo2dSouBISEhg2bJjbAmzuyGiHw+FRXJcuXcLb25tKlSqxefNmJk2aRGxsrMd5Me+rcSOaOnUqgOlaUVpOp9WM/PM3VuHwuPVdcd63Dlt9Ilhytg3rslqR6VWZdg0C6dHUKhh2blTzulgSzzz3KyciMaoacbnnl1ijKFZ74P8ATVT1BRFpCNyiqlsvN1GXuBsDG3ILhyJSWURCVTXBk/NVdb2IhBbY3RU4YNcUIiL/Be5U1Zexah8N44Z2+PBh7r33XpxOJ76+vrz/vseV8IZxwzIFhVLISIOD38H+VXBgNVw4jRMvDvm3YrmMZnlGe/ZlNKRF3er07OrgrbAgujauRTV/n/LOeSHmuZc/T5qe5wBO4DbgBeAc8BnQpQzS/wTo4bKdY++7krgbAK7zuiQCRba5ikgQ8BLQUUSm2gXKgmEmAhMBGjZsWPDwTa1bt25cunQp37758+fTrl27Ys9LTk6mf//+hfavWbOGoKCgMs3j1VYW1xIaGlpkc3hCQkKp8tOsWbMipx8yDKMCUoWkn/NqDfXwZsSZTbp3VTbSkWWZ97DO2QF/39r0au3goTAHPZoGUae6f3nn3LgBeFJQ7KaqnURkB4CqpoiIb1mlr6qZuRuqmlkGcbvrUVtk+7qqJgN/LC5CVX1PRI4Dw319fTsXEeamnDx0y5Ytl3VeUFBQqZpDr2c307WUd1cTw7hcd999N1C2g/JuaFkZ1sTX+1fh3P8NXqkJACR4N2JF5hC+y+nIz76t6NK0Dr2bOfhzmIMmpZi/8Hphnnv586SgmGX3+8sdmVwbq4axLJwWkRGq+pUd951A0hXGmQi4Tv4XDBy7wjiL5e/vT3JyMkFBQTfch9CoOFSV5OTkvCmBDONGkpycXN5ZKH+ph+HAt+j+VTjjo/DOTicTXzY527Ampx8b6Mgt9ZrTK8zB1GYO2jcIpJJ3ua+rcUXMcy9/nhQU3wA+B+qIyEvAKOCZMkr/j8BCEXkLqybwCPDbK4xzG9DM7v94FLgfeOAK4yxWcHAwiYmJnD59+momYxhXzN/fP2/CcsMwrnNZGXD4e/Tnb8mKW4Vvys8AHMfBmuyerHF2JKXOrXRtVp8BYQ6eblyLAN/ynh7ZuNmU+Eap6kIRiQH6YxXmfqOq+8oicVU9CNwqIlWxRmCXPGmeCxFZBPQFHCKSCExT1Q9E5BHgG6yRzh+q6o9lkd+i+Pj45K2aYRiGYRiX7Uw8/PwtmXGr8PplI5Vy0smiEj/ktGKdcwx7A7oS0rwDvZrXYVbTIBxV/UqO0zCugCejnmsBp4BFLvt8VDXrchMVkTGqukBEHiuwHwBVfc2TeFR1dBH7lwPLLzd/RcTp2RJ+hmEYhuGpzIuQsJHs/avJ/OkbAs5bk+Qfc9YlytmbbZU64d24N11ahDAmzEFoUIDp4mRcU57UUW/H6vOXglWjWAM4LiKngAmqGnMZ6ebOcnzDLNcnIsOB4WFhYeWdFcMwjArH3cwDNyR7hLLz59Vc+HEllY/9QCXNJEt9+cHZmk3040z9SMJadqBXmIOxDQLxrsCrntw0z/0GVuKE2yLyL+BzVf3G3h4EDAaWAK+r6mUt92EPkPmzqv7zcs4vL+4m3DYMwzCMIl06B4c2cHHvSpw/f0vV9KMAHHDWJ8rZgUM1uhPYsg/dWzQgolGt62Kia+PmcdUn3AYiVDVv+hhVXSUiM1X1MRG57M4RqpojIiOAG6KgaGoUDcMwDI+owqm9ZMWt4vyPK6l+Khpvzcap/nzvbEOMz1BymvSnXdt2jAxzEGT6GRrXMU8KimdE5Engv/b2fUCKXSN4pdPkfG+PeF4MXMjdqarbrzDeMmf6KBqGYZSfIUOGALBixYpyzkkR0lPR+CjSdq+g0qHvqHrpFD7ACWcInzKE03V7U6dNH3q1rM/AutVMP0MPXffPvQLwpKD4ADAN+AKrj+JGe583cO8Vpp+7KssLLvsUaxUYwzAMwwAgPT29vLOQn9MJJ3dz8ceVXNz3DTWTY/EmBy8NYJ2zLXFV78Wr2UA6tm3DmFDTnHy5rrvnXgF5Mj1OEvBoEYcPXEniqtrvSs6/lkzTs2EYRgV38QzZP68hZedyKh+JomrWGQKAg85QvvAawdmQfoS0602vFvUYGli5vHNrGGXCk+lxmgNTgFDX8KrqttZPRAKAx4GGqjpBRJoBLVR1mUuYbsB7QFNgN/D7spqb8WoxTc+GYRgVjDMHPbqd1N0ryIpbjSNtD5VwUkmrstbZjl9q9SSg1QA6t2nF7yr46GTj5uVJ0/MnwL+AfwM5HoSfC8QA3e3tRDuOZS5h3sYqfK4HRgCzgds9y7JhGIZhXCVpR7m4bxVpe1YSeHwTATnnCFRhlzbha797yAy9jcYdetM3rA7V/H3KO7eGcdV5UlDMVtV3ShFnU1W9T0RGA6hquhTuteulqqvt/38iIlNLEb9hGIZRwQwbNuzqRJyVTs6hjSTttAahBF08RABwVmvyDZ1JqtuTwLaD6NamGb8LqlJidEbZumrP3fCYJwXFpSLyMNZ6z5dyd6rqmSLCZ4pIZaxBKYhIU9fzbDVE5K6itlX1/zzJ/LVk+igahmGUnylTppRNRPbUNWl7vuHivlU4kqPx0SxqqA9btSU/V3sQr7D+tAnvxrCGNfHx9iqbdI3LUmbP3bhsnky4fcjNblXVJkWEHwg8A7QGVgE9gfGqGuUSZm4xSaqq/r6EfJcbM+G2YRjGDeZCMpf2r+HMrhVUSVxP9awkAPY7GxDj04kLwX2o3+E2urcIoWYV33LOrGGUras+4baqNi5NhKq6WkS2A7diTafzF3vktGuY35Uql4ZhGEaF1rdvXwCioqJKDpyThfPwVpJ2roCDa3Cc24cfSmWtwkZtx3HHb6nSehCd27Xl/jpVzZyG17FSPXfjqvCk6RkRaYtVQ+ifu09VPy4i7EjgO1X92t6uISK/UdUvyiC/ZU5EfgMMBeoAb6vqqnLOkmEYhlFaZw5x7sdvOPfjN9Q69QP+zovUUi9iNYxvAh7A2aQfYeGR3NbYgb+PmdPQMDzlyfQ404C+WAXF5cAQrEm33RYUgWmq+nnuhqqm2nGUeUFRRD4EhgGnVLWty/7BwOtYk4L/W1VfKSoOuwD7hYjUBGZhNZcbhmEY17NL58g8sI7knSvx+2UttS4lUg1IUwdfe/UkrUFvarcfSLdWTYio7l9idIZhuOdJjeIooAOwQ1V/JyJ1sabKKYq7nr9u0xERP1W9VNK+YswD3sKl0GovLfg2MBBrap5tIvIVVqHx5QLn/15VT9n/f8Y+zzAMw7jOCErTqukkr3iZzLjV1E7diS/ZBKofW7Q1v9QYgV/LAbRr35mR9QPxMnMaGkaZ8GQwy1ZV7SoiMUA/4BywR1XbFBH+QyAVq9ClWKu61FTV8W7CblfVTiXtKyF/ocCy3BpFEekOTFfV2+3tqQCqWrCQmHu+AK8Aq1X125LSq1atmnbu3DnfvnvvvZeHH36YixcvcscddxQ6Z/z48YwfP56kpCRGjRpV6PikSZO47777OHLkCGPHji10/PHHH2f48OHExcXx0EMPFTr+zDPPMGDAAGJjY5k8eXKh4zNnzqRHjx58//33PP3004WOz549m/DwcL799ltmzJhR6Pi7775LixYtWLp0Kf/4xz8KHZ8/fz4hISEsXryYd94pPJPSp59+isPhYN68ecybN6/Q8eXLlxMQEMCcOXNYsmRJoeO5fVNmzZrFsmXL8h2rXLly3hqgL774ImvWrMl3PCgoiM8++wyAqVOnsnnz5nzHg4ODWbBgAQCTJ08mNjY23/HmzZvz3nvvATBx4kT279+f73h4eDizZ88GYMyYMSQmJuY73r17d15+2Xr17r77bpKTk/Md79+/P88++yxgrWlacLmqYcOG5Y36y+2r48q8e+bdg5v43evblfio+ez/9mMiqp7E4ZMBwI/ORsR4dUCbDSAnsDHzXnsRL2dWvvPNu3dzvHs1atTISzOX+d4r3bu3bt26qzuYBYgWkRrA+1gTaZ8HthYT/lHgWWAx1mCWVcCfXAOIyC1AA6CyiHS0wwFUBwJKcwFuNACOuGwnAt1KyO8AIFBEwlT1XwUDiMhEYCKAn5/fFWbPMAzDcMdHnLStcZHOdXPoGPs0xBymCVC9RnU2ZHVgw0kHe1KrcDH5JNOfGJf3y/rjAoVE4+ZRu3bt8s5ChVdijWK+wFbtXXVV3XVFiYqMA8YDEYDrXDPngHmlmUfRTY3iPcDtqvqgvT0W6KqqRa1X7Wk6ufMoTvj555+vJCrDMAwDrDkNk34mZdcKLv60GkfSNvw0g0z1JkZbcLB6NySsP6069qB9cE0qmTkNDaPUrvr0OHYiDYBGueFFJFJV1xcIM1tVJ4vIUuzJtl2p6giX/38EfCQid6vqZ5eb+SIkAiEu28HAsTJOwzAMw7gc6Smk719L8s4VVD2yjhpZJ6kJpDhvYanPbVwI6UP98AF0bdGI7pV/XSLv4sWLZAIBAVfa6GTcSC5evAiY516ePBn1/P+A+4C9/LrWs2Kt0+xqvv3vrFKkv0ZEXgMi7e11wAuqmlaKOAraBjQTkcbAUeB+4IEriM8wDMO4XM4cnIkxnIpdjh5YQ92ze6iMk+pamS205bhjNFVaDaRjh3DudlQpck7D3L5oZj69isU89/LnSY3ib4AWJY1EVtUYe8TxBFUd42H6HwB7gHvt7bHAXOCuIs9wISKLsKbucYhIItbUPB+IyCPAN1gjnT9U1R89zI9hGIZxpdISSdu9krM/fkPQye8JcJ6njgq7tAnrqtxDTuPbaNqxL30a18G3kmlONozrmScFxXjAh8LrNReiqjkiUltEfFU104O4m6rq3S7bz4tIbJGhC6c3uoj9y7HmfCwzqroUWBoRETGhLOM1DMO44WVeJPPgek7FrsDvlyhqZyQQCKRrTb716kpag94Edbidbq3DCK9qBgQaxo2kyIKiiLyJ1cR8EYgVkTW4FBZV9c9FnJoAbLLnLrzgEv41N2HTRaSXqm600+wJpLsJV+5cBrOUd1YMwzDKlyp6cg+nY1eQGfctdVK240sWDvVhm7ZiVa2J+DYfSLuO3Rh+S3WzRJ5h3MCKq1HMHY0cA3xVijiP2T9eQLUSwk7CGtQSiDVFzhlgXCnSumZMjaJhGBXahSTO7V1Nyq6VBB7fQGB2MnWAOGcwX/nfQWajfoR0HEBEWH16+5ol8gzjZlFcQXE5UFtV97rutNd9PunuBBGpDXwNHFDV1JISV9VYoIOIVLe3z3qa8WvN1CgahlGh5GSRlfADJ3csp9Kh76hzIY5qKNlalc3SnqS6vQhsO4iI9m0ZFVj5qmdn/PjxVz0N4/pjnnv5K3IeRRH5L/COqq4rsP92YJyqPlBg/4PATOAg0BiYqKrF1kSKSBAwDeiF1cy9EWvUc3Jx55WniIgIjY6OLjmgYRjGDUaT40neuZyL+1ZTJ2kL/ppOtnqxQ5sRX70rEtafFh0jaRtSC2+zRJ5h3BCu5jyK7QoWEgFU9RsRKbymDEwG2qjqaRFpAiyk5Cbr/2JNs5M7oOV/sFZ0GVBizg3DMIwrc+kcF+K+Izl2BVUS1xOUeRQHcMRZm1W+kZwP7kO98NuJaNmILv4+JUZ3NSUlJQHgcDjKNR/GtWWee/krrqBY3LeCu2OZqnoaQFXjRcSToW21VPVFl+0ZIvIbD8675kzTs2EYNzynk+yjOzgZuwL9+VtuObuLKuSA+rGNNhx33EVA60F07NCZEY4q5Z3bfHLX7DXz6VUs5rmXv+IKij+LyB32VDN5RGQI1pQ5BQWLyBtFbRcxSnqtiNwP5K6IPgqrj+N1xwxmMQzjhnTuBCm7V5K2eyVBp76nWk4aDYA9zlB+qHIXzia30aTTbfQMrYOPWSLPMIwCiiso/hVYJiL3Yo18Bmtt5u7AMDfh/1ZgO8ZNmIIeAh4DFtjbXsAFEXkMUFWt7kEchmEYRq6sDDLiN3Jyx3L8E6Kom3GQmkC2BrLRO5y04N7Uan87Xdq0pG0V3/LOrWEY17kiC4qqul9E2mEtf9fW3r0OeEhVM9yE/6i0iatqSdPnGIZhGMVRxXkqjpM7viZr/7fUTYnBXy9RT73ZTkvW1fwDPi0G0q5TDwbXMXMaGoZROsWuzGIv2ze3rBMVkUZAau6aziLSD2upwATgbQ9XdbmmTB9FwzCuG+kppP24mjO7VlLj2AZqZp+iHnDQWY+VlQdxqVFfQjoNomPTBtzqY+Y0NAzj8nmyhN/VsAQYCaSJSDjwCfAyEA7MAR4sp3wVyfRRNAyj3ORkc+nwVk5uX4F3/HfccmEvgTgRDWCbtCPplrEEtr2dTu07cGd1//LO7VUxadKk8s6CUQ7Mcy9/Rc6jeFUTFdmlqu3t/88CnKr6hIh4AbG5x65HZh5FwzCuBU09zKkd9pyGp3+gip4nR4Xd2pSD1bshzQbQvFMfWjeohZeZ09AwjCJczXkUXROpDDRU1bhiwuSuDe1WgVHPrt9qtwFT7TDOa9l/RkRaAX8BHMAaVX3nmiVuGIbhKvMC5+KiSIpdQZUj66iTeZi6wDGtRZTvrVwM7kPd8NuJaNWUcN/yagwqP0eOHAEgJCSknHNiXEvmuZe/Er9t7L55swBfoLHdVPyCqo4oEDS3mq0n0Bpr4myAeyg8Avo7EVkCHAdqAt/ZadUDPOqfKCIfYo2+PqWqbV32DwZeB7yBf6vqK0XFoar7gD/aNZnve5KuYRhGmVAl69guTmz/GueB76iftoNqZOOjPsRIa9Y7hlK51e106NiVobWurzkNy8PYsWMBM59eRWOee/nz5M/S6UBXIAqs9ZlFJLRgoNxRzyIyHuinqln29r+AVQWCTwbuA+oBvXLDArcA/+th3ucBbwEf5+4QEW/gbWAgkAhsE5GvsAqNLxc4//eqekpERgBP2XEZhmFcPedPk7TrG9L2rMRxchOBOWcIAeKcISyvOoKcxrfRuPMAujWqSyUzp6FhGNcBTwqK2aqaVoom4fpANeCMvV3V3pdHrY6R/y14oqru8DQRVV3vpsDaFTigqvGQt171nar6Mu7nfsRej/orEfka+I+n6RuGYZQoO5OL8d9zYvty/H6JokF6HA7AS6uy1Tuc1OBIHB1up1PbNrSoXL5L5BmGYbjjSUFxj4g8AHiLSDPgz8D3xYR/BdghImvt7T5YtZLXQgPgiMt2ItCtqMAi0he4C/ADlhcTbiIwEaBhw4ZlkU/DMG5SOUkHOR6zjKy41dySEk2AphOi3uykGVtr/Q6f5gNo0zmSAbWrmTkNDcO47nlSUHwUqzn4ErAI+AZ4sajAqjpXRFbwawHtKVU9caUZ9ZC7b93iBthEYTepF0dV3xOR48BwX1/fzpedO8Mwbj4ZZznz47ec2bWCwGMbqZ11jGDgsLM2ayv3JaNRP0I63U6HsIZEVDLNyYZh3FhKLCiq6kWsgqJHfQfF+hN5ANBEVV8QkYYi0lVVtxYR3hdobm/GufRXvByJgOvQqGDg2BXEZxiGkZ/TScbhGI5v/xqv+LU0OL+bWuTgq/5s92rLhlvupXrb2+kY3pk7qvqVd25vGo8//nh5Z8EoB+a5lz9PRj0vpXCtXBrWKOd33SznNwdwYk178wJwDvgM6OIm7r7AR1grsggQIiLjVHV9qa7iV9uAZiLSGDgK3I+1BKFhGMZl07PHOLF9ORf2rqJu0maqOc/SGNijjVle/R4krD/NIm6jd/0g05x8lQwfPry8s2CUA/Pcy58nTc/xQG2sZmewRiufxKoFfB8YWyB8N1XtJCI7AFQ1xa41dOcfwKDc+RlFpLmdTonNuyKyCOgLOEQkEZimqh+IyCNYzePewIeq+qMH12gYhvGrrAzOxq3jVOxyqhxZR71Lh6gHnNIa/ODbmfON+lC34xA6tWpGW7NE3jURF2dN49uiRYtyzolxLZnnXv5KXJlFRNaraqS7fSLyo6q2KXBsC9AD2GYXGGsDq1S1o5u481ZoKW7f9cSszGIYNyFVMk/s41j0MpwH1tAgbTt+ZHJJKxErrTju6EHl1gPp0KkXt9SoXN65rZD69u0LmPn0Khrz3K/ctViZpbaINFTVw3aCDbFWMgH3k2O/AXwO1BGRl4BRwDNFxB0tIh8A8+3t/6Hw5NzXBXvi8eFhYWHlnRXDMMqAXjzDqdiVpO35BsfJTdTKOU0ocFDrs6bKEHKa9CO08+1ENKqHt1kizzCMCsqTguLjwEYROYjVj7Ax8LCIVMHqX5iPqi4UkRigvx3+N/YKKO5MAv6ENeWOAOuxJsy+7qjqUmBpRETEhPLOi2EYlyEnm/PxP3B8+9fWnIYXf6IuTiprADsqdSAl5PcEtR9MeLt2NPU3cxoahmGAZ6Oel9vzJ7bEKsz95DKAZXbB8HYN4Zuq+rbLvumqOt1N9H9U1deA11zC/gVrCb7riqlRNIwbT3ZyAkdjviYzbjX1z2ylql6giQq7CWNnzTH4tBhI64i+9KldvbyzahiGcV3ydGX5ZkALwB9oLyKo6sdFhL0d6Cwir7mEGYH7SbfHUbhQON7NvnJnahQN4waQeYGkPWtI3rmCGsfWUzcrkUbAUQ1iU+VeXGrYlwadB9Mu7P+3d99xdlX1/v9f70x6b6TPpM2kkUoaAkKAEEiAiyJXBLxXlKKChevVn96vXkGvin6/96ooSpWiFPEiKgklEFooCemd9EImhRTSe2Y+vz/WOuRkOGfmTD0zmc/z8ZhHZu+z99qfvfaezGfW3mutXgz3KfKcc65MmQyPczuhd/EgwuwlE4G3SJpjuYRtcfvHJY0FvqkWikcAACAASURBVEmJgbAlXUMYtqZ3nIs5oRWws1xn4Jyrv8w4tHEBm+ZOIWfNq/TYv4iOHKeFNWZ+zmBmdfk0rQZfzPARY5jQwsc0rMt+8IN0r7q7U5lf9+zLpNfzYmAYMN/MhknqDDxoZikHN5I0P9HDWdIdwEVAVzPrk7RNT8K7jncC30vafR+wyMyOV/yUqkfSo+ebVq1ale1wnKu3ivdtY9Pc5zj43st03v4ObYt3AbDc8ljXZizqeyEFo8fTp2tHH9PQOVfv1USv50NmVizpuKTWhBbDPqVs/1ELoZndIWkO8K3kDcxsA7AB+EQFYs4Kf/TsXJYcP8qulW/ywbwwpmHukVXkAjutFfMbn8GBnufSacQkhg7szwAf0/CUtWDBAgCGDx+e5UhcTfLrnn2ZJIpzJLUlDK49F9gPpJyOD8DMbi+xPAWYUpkgnXP1iBlHtq2icPYUildPo8fuubTjMC0th0Xqz8KON9J80AQGj/ok57dunu1oXQ257bbbAB9Pr77x6559mfR6viV+e6+kF4HWZrao5HaS3jKzcyTt4+Qp/xSKMe9W6JxLyQ7tZsuCl8KYhlvf4rSirfQFNlhn3mx5EUW9z6fXqIsZkdedkT6moXPO1ZhMOrO8YmYXApjZ+pLrEszsnPhvq/IEIKkZkJeYxq+28uFxnKtCxUXsXTubLXOn0HjD6+QeXEo3imltTVnYaCizcq+j/dCJDBs2gp6NMx2cwTnnXFVL+z+wpKZAc8Jcyu040XO5NdAtxfbtSzuQmX2YYp/Lgf8GGhN6QA8Hfmxm/5TxGdQQf0fRuco5tquQwjlTOLJ8Gt0+nElr20dLE++pN9PaXUOj/uPpP+pCzu7YJtuhOueci0r7U/3LwG2EpHAuJxLFvaSePWUu4ZFzqudCRuoOMHcAY4DXAcxsgaReZUbtnKv9jh3igyWvsnPhi7TZNJ3ux9bTG/jA2jK32VgO9xxH9zMmcnpBX073x8nOOVcrpU0Uzewu4C5JXzez35ZVkJn1rsDxj5vZnmwOYRGnIpwO3B473jjnKsKMA4VLKJwzhQZrXyVv3wI6c5S21ohFOYNY2PUWWp9+MUPOOIvzmzfOdrSujvnZz36W7RBcFvh1z75MOrP8VtJZQK/k7UuZmYX4qLqAMJNLYvvpKTZdIulaICdOE/gN4J1MApf0EHAZsM3MBietv4Qws0sOYbzHn5dR1HeBv2RyTOfcyYr276Rw7vMcWDaVzttn0KF4B/2BNdad6W0uQ30vJH/MxYzq4mMauso566yzsh2CywK/7tmXSWeWPwF9gQVAUVxtpJmZRdKNhNlYesR9zgRmABek2PzrwPeBI8ATwFTgJxnG/ghwd3IcknIIj8UvAgqB2XHmlxzC4N7JvgQMBZaRlNA650pRdJwdK95i27znaV74BnmHV9ATY7e1YEmTEezvcS6dhk9k8KDB9G3oU+S5qvPOO6ENwROH+sWve/ZlMjPLe8AgK2vDE9svBkYDM81suKQBwI/M7OoU244ws/kViDuxfy9gSqJFUdIngDvM7OK4/B8AZlYySUzs/1OgBWF6wkPAp82suLRjjho1yubMmVPRkJ2rcw5vW8uG2ZOxVa+Qu3s2LThIkYmlDfqxpeNZNBs4gdNHjaODj2noqtG4ceMAH0+vvvHrXnk1MTPLEqALsCXDMg+b2WFJSGpiZssl9U+z7S8ldQX+F/izmS3N8BjpdAc2Ji0XAmPTbWxm3weQdD2wI12SKOlm4GaAvLy8SoboXO1mR/ZROP9l9ix5kQ5b36Lr8U30BzZZR2a1PI/jvS+g5+hLGJKXy1B/nOycc6e0TBLFjsAySbMIj4gBKGUIm8I4k8vfgZcl7QI2p9rQzM6X1AX4LHB/nCLwKTPL9PFzSel6XJfKzB4p4/P7JW0BLm/cuPHICsbmXO1UXMyudfPCmIbrX6PnwSXkcpwO1oTFjYawKPeztBt6CUOHjeJ8H9PQOefqlUz+17+jPAWa2acT+0l6DWgDvFjK9luB38Rt/z/gh2T+nmJJhUBu0nIP0iSpztVnR3dvZcPsKRxd8TLdds6kne2mHbCCnrzR7ioa9h/PgNETGNvBxzR0zrn6LJNez29I6gkUmNk0Sc0JnUPSknRO3P5hSacRHgmvS7HdQOBq4CpgJ/Bn4N/LfxofmQ0USOoNbAI+B1xbifKcOyXYscNsWfJ6GNNw83Tyjq6hANhprVnSbCSHe55H95GT6J/fj/4+pqFzzrkok17PNxHez2tP6P3cHbgXuDDN9rcDo4D+wMNAI+Ax4OwUmz8MPAlMMLNytfxJehIYR5g5ppAwDuIfJH2N0Hs6B3ioCt57dK7uMWPfpuVsnD05jmk4n24c5jTLYWnOAFZ0/TKtBl/C4JHn8MmmPqahq/1+/etfZzsElwV+3bMvk17PCwizp7xrZiPiusVmNqSU7UcA85K2X2RmQ6s08izxXs+utjp+YBcb5rzIgWVT6bL9bToVbwNgg3VhbZuxkH8h+aMnktu1U5Yjdc45V1NqotfzETM7mhgsV1JDSu8gctTMTJLF7VuU3EDSX8zss3EoneSyBFhtTCrjvNSX5+fnZzsU54LiIratmMHWec/RYuMb9Dz8Hn0pZp81Y2mT4SzqcT2dRlzKwEFD6ZnjYxq6um3atGkAjB8/PsuRuJrk1z37MmlR/L/AbuBfCQNk3wIsSwwtk2L7bxNmZbmIMMj1l4Anzew3Sdt0NbMt8d3HjzGzDRU4lxrhLYoumw5u38D6WYkxDWfRmv0Um1jeoA9bOp5Ns4ETGDT6Atq2+tjfZ87VaT6eXv3k173yaqJF8XvADcBi4MvA88CD6TY2s/+WdBGwl/Ce4g/N7OUS2yTGZLzFzL6b/JmkXxCm1atVvEXRZUPxkYO8P/9ldi+ZSoetb5J7/H0GAR9YOxa2PCuOaTiJgXl5DPIxDZ1zzlWxTBLFZoROIQ/AR9PkNQMOptshJoYvJ7aXdJ2ZPZ5i04v4eFI4McW6rDOzycDkUaNG3ZTtWNwpzIyda+ezae7zNF7/Gr0PLqQXxzhijVjaaDAr866g/dCJDBw6lk/6mIbOOeeqWSa/aV4BxgP743Iz4CXgpIkX42DZtxJ6RT9LSBRvBb5DmPP58aRtv0p4hN1H0qKkYloBb1fkRJyrqw7v2c76WVM4suJluu+cQUf7kA7AGnowo/2naNhvPP3GTOCM9u2zHapzzrl6JpNEsamZJZJEzGx/HEuxpD8Bu4AZwI2EBLExcIWZLSix7RPAC4R3GL+XtH6fmX1YjvhrjD96dlXFjh+lcPF0dix8gTab36TXkZUMkLHbWvBe85EszhtHt5GTKMgfQF8f09A551wWZdKZ5W3g62Y2Ly6PBO42s0+U2O6jIXPi4+kdQJ6Z7SszCKkT0DSxbGbvl/dEaop3ZnEVsWfTSjbMmkyDta/Ra99cWnKQ49aA9xr2Z0ens2k9+GIGjjyP5k2bZDtU52qlFStWANC/f/8sR+Jqkl/3yquJzizfBP5XUmJA7K6E2VRKOpb4xsyKJK0rK0mMrXS/BLoB24CewHvA6RnE5VytdezgHtbNmcqBZS/RedvbdCvezFBgE6cxv/UFKP9Ceo+ZyJAuXbMdqnN1gicK9ZNf9+wrNVGU1IDw+HgAoQezgOVmdizF5sMk7U3sCjSLy4mxEVun2OcnwJnANDMbIel84JqKnYpzWVRczJYV77J13vM03/gGfQ4toZ+KOGhNWNZkGCt7XMtpIyYxYNAIuvuYhs6V2+TJkwG4/PLLsxyJq0l+3bMvk0fPM0o+Zq6yg0tzzGyUpIXACDMrljTLzMZUx/EqI+kdxZtWrVqV7XBcLbB/RyHr3p1C8epp5O2aRTv2ALBSvdnS8SyaDbyI/qMvok2rllmO1Lm6z8fTq5/8uldeTTx6fknSZ4BnrKyssvx2S2oJTAcel7QNOF7Fx6gSPjyOKzp6mHXzp7Fn8Yt02PoWvY6vYwiw01qzouVojvU+n56jL6Mgrxf9fExD55xzp4BMEsVvAS2AIkmHKP1RcnldARwG/g24DmgD/LgKynWu8szYtn4xm2ZPodGG1+l7YAH5HOGo5bC80SDeyL2FdkMnMmD4WZzZyMc0dM45d+op87ebmbWqroOb2YGkxUer6zilkTQO+C9gKfBnM3s9G3G42uHQ3g9ZM2sKR5dPo/vOd+hs2+kEvE9X5ra/lIb9xlMw5hKGtu+Q7VCdc865aldmoihJhNa+3mb2X5Jyga5mNquiB5W0D0h+jK24XK7WSkkPAZcB28xscNL6S4C7gBzgQTP7eSnFGGEw8aZAYXnOw9V9VnSc9YvfYueC52m9+U36HnmPwTL2WTOWNz+DlXk3033kpfQuGESeP052zjlXz2TSmeUeoBi4wMwGSmoHvGRmo2siwNJIOpeQ5P0xkSjGMRxXEqYHLARmE3pS5xAG+E72JWBH7ETTGfilmV1X2jF9HMW678PNa9kwazJa8wp99s2hNQcoNrGyYQHbO51Nq9MvZsCo82natGnZhTnnasTGjRsByM3NzXIkrib5da+8mujMMtbMzpA0H8DMdklqXNEDliTpHKDAzB6W1BFoZWbrMtnXzKZL6lVi9RhgtZmtjeX/mTA7zJ2E1sd0dgE+2vEp6Oih/aye/SIHl71Ep23vkFe8kfbAB7RnaZvzoO/59BlzGQO6dGNAtoN1zqXkiUL95Nc9+zJJFI/FVjoDkHQaoYWx0iTdDowijNH4MGHMxseAsytRbHdgY9JyITC2lBiuBC4G2gJ3p9nmZuBmgLy8vEqE5mqCFRdTuGLOR2Ma5h9azCAd47A1YnmTIbzf4ypOGzGJgkGj6OxjGjpXJzz11FMAXH11qvke3KnKr3v2ZZIo/gb4G9BJ0k+Bq4AfVNHxPw2MAOYBmNlmSZXtPJPqRbK0z9fN7BngmdIKNLP7JW0BLm/cuPHISsbnqsHeHVtYO2sKRaum0XPXu+Syi1xgnfKY0+kzNB04gf5jJjC8ZbX1zXLOVaN77rkH8IShvvHrnn2Z9Hp+XNJc4EJCEvYpM3uvio5/1MxMUqK1skUVlFkIJLdV9wA2p9nW1VHHjx5hzfzX2L34RTpsfZM+x9YwXMZua8mqVqNY2esCeo6+lN498+md7WCdc865OiptoiipKfAVIB9YDNxnZlU9GPZfJN0HtJV0E6FzyYOVLHM2UCCpN7AJ+BxwbSXLdLXAlnXLKIxjGuYfmEd/DnHcGrCy0UBm5N1M+6GXkD/8k4xu1CjboTrnnHOnhNJaFB8FjgFvAhOBgcBtVXlwM/tvSRcBewnvKf7QzF7OdH9JTwLjgI6SCoHbzewPkr4GTCX0dH7IzJZWZdyuZhzYu4vVs57nSBzTsLttpSuwmU4saTeBhv3Gk3/mJAa165jtUJ1zzrlTUmmJ4iAzGwIg6Q9AhcdNLE1MDF+Ox8mRdJ2ZPZ7hvtekWf888HzVRelT+NWE4qIi1i5+hx0LX6D1pukUHFnGMBVxwJqwqvkI3s+7nm4jJ5GXP4RuDbwTinPOOVfdSksUjyW+MbPjqsLBhiW1Bm4l9FB+lpAo3gp8B1gAZJQo1iRJlwOX5+fnZzuUU8qOzRtYN2syDda+Sp+9s8lnL/nA6py+zO52Ha1Ov5h+oy9keJNm2Q7VOZdFTz/9dLZDcFng1z370g64LakISEyxJ6AZcJAqmOtZ0j8I4xbOIHSSaUcYGuebZragouXWBB9wu3IOHzrAqtnTOLBsKp23vU3v4vUA7KAt69qMgb4X0mvMJE7r4sMQOeecc5VVbQNum1lORQvNQJ+kx9oPAjuAPDPbV43HrBRvUawYKy7m/ZUL2DLvOZq9/wb9Di1kiI5y1HJY1WQwM3p8g07DJ9L79LF0zKnOW845V5c98sgjAFx//fVZjcPVLL/u2VfmFH7VclBpnpmdkW65NvMWxbLt+XA7q2eGMQ3zds2kCzsA2KhubO54Fk0HXkTBmIk0b9kmy5E65+qKcePGAfD6669nNQ5Xs/y6V15NTOFXHYZJ2hu/F9AsLlf6sbarecePHWX1/DfYtfhF2m15i4JjKxgpYy/NWdNiJBt6nU/u6MvI7dUfn4zJOeecqzuykihW82PtauGPnk+2ef0KNs6eQqP1r5F/YC4DOEiRidWN+jEr7wbaDbmE/BHnMaJRlU0L7pxzzrkalq0WxTqnvg+Pc2DfblbPfpHD771Mtx3vkGub6QZspSPL211ATsF48sdOon+HztkO1TnnnHNVxBNFl1JxURFrl8xk+8IXaV34BgVHljBMRRyyxqxsNoxNedfR9YxJ5PUbThcf09A555w7JWWlM0tddip3ZtmxdSPr3p2M1rxK772z6MAeANY26MW2TmfTYtDFFIweT9NmVTElt3POZe7gwYMANG/ePMuRuJrk173y6mpnljrnVHxH8cjhg6yaM439S1/itG1v07doLR2BXbRmTesxrO1zAb3HXEafbj3pk+1gnXP1micK9ZNf9+zzFsVyqsstilZczMbVi9g89zmavf86BQcX0lxHOGY5rGwyiL3dz+W04ZPoM/gTNPAxDZ1ztcjvf/97AG655ZYsR+Jqkl/3yqtsi6IniuVU1xLFPbu2s+bd5zi+chq5H86kK9uBOKZhhzNpMmAC+WMuoWXrdlmO1Dnn0vPx9Oonv+6V54+eK0FSA+C/gNbAHDN7NMshVVrR8WOsXvAGHy6aSrstb1JwdDlnyNhnzVjdciTv9/wyPUZdTm6fAT6moXPOOedKVWcTRUkPAZcB28xscNL6S4C7gBzgQTP7eSnFXAF0Bz4ECqsx3Gr1wfur2DBrMg3Xv0b+/rn05wDFJlY3KmB27pdoM+Ri8keMY0TjJtkO1TnnnHN1SJ1NFIFHgLuBPyZWSMoBfgdcREj8Zkt6lpA03lli/y8B/YEZZnafpKeBV2og7ko7uH8Pq2ZP5fB7L9Flxwx6FhfSGdhGe5a3PY8GBePJH3sp/Tp2yXaozjnnnKvD6myiaGbTJfUqsXoMsNrM1gJI+jNwhZndSWh9PImkQuBoXCyqvmgrx4qLWbt0FtvnP0fLTdPpd3gJw3Scw9aIlc2GMTP3arqccSk9+4+gk49p6JxzzrkqUmcTxTS6AxuTlguBsaVs/wzwW0mfBKan20jSzcDNAHl5eVUQZtl2flDIunenYGteofeeWfRlN32BdQ16Mq/LP9Pi9IspGD2BoT6moXOuHvDODPWTX/fsO9USRaVYl7Zbt5kdBG4oq1Azu1/SFuDyxo0bj6xEfGkdPXKYVXOmsXfpVE774G3yi9bQAdhFK9a2Gh3GNBx7Ob279aJ3dQTgnHPOOVfCqZYoFsJJnXl7AJuzFEuprLiYwjWL2Tz3OZpseIN+B+dzehzTcFXjQczI/Sodh02i79CzGeljGjrnnHMuC061RHE2UCCpN7AJ+BxwbXZDOmHv7p2seXcKR1e8Qu6uGeTaNnKBQnVhccdJNO4/nvyxkxjUpn22Q3XOOeecq7uJoqQngXFAx9gp5XYz+4OkrwFTCT2dHzKzpdmKsej4cVYvmM6Hi16kbRzTcISK2W/NWNViBBt73UiPUZfRo8/p9MhWkM4555xzafjMLOVU1swsWzeu5v1ZU2i47lX67p9Dmzim4ZpG+ezofA5tB19M/sgLaORjGjrnnHOumvnMLDVE0uXA5fn5+SetP3hgH6tmTeXQey/Rdcc79CzeSBdgO+1Y2fZcGuRfSJ+xl1FwWlcKshK5c84551zFeItiOY0aNcqeeuR3fDD/BVoVvkG/w4tpomMcsUasbDqEA7nn0XnERHoNHI18TEPnnHPOZZG3KNaQRIvisK6N6fv0BPoC6xvksqDzlTQfNIGCMRczpHmrbIfpnHPOOVdlvEWxnAbltrVH7/oRPcdcTqcefbIdjnPOOedcWt6iWMOad85n9JXfzHYYzjnnnHPVzl+iy5CkyyXdv2fPnmyH4pxzzjlXIzxRzJCZTTazm9u0aZPtUJxzzjnnaoQnis4555xzLiVPFJ1zzjnnXEqeKGbI31F0zjnnXH3jw+OUk6R9wIpqPEQboCLZaKb7lbVdus9Trc9kXcnljsCODOKsKK+/yslm/ZX3s/LW36lcd6V9nun6+nzvlfa5/+yWvZ3/7FZuu+r+2e1vZhUf6NnM/KscX8Ccai7//urcr6zt0n2ean0m61Ise/15/VXJZ+Wtv1O57kr7PNP19fneK2/9+c9u5T7zn92K33tl1VWa5UrVnz96rn0mV/N+ZW2X7vNU6zNZV9HzqSivv8rJZv2V97PaVn916d5Ltb4+33ulfV4X7r3KHM9/duvWvZdqfbXWnT96LidJc6wSI5zXd15/leP1V3Fed5Xj9Vc5Xn8V53VXOZWtP29RLL/7sx1AHef1VzlefxXndVc5Xn+V4/VXcV53lVOp+vMWReecc845l5K3KDrnnHPOuZQ8UXTOOeeccyl5ouicc84551LyRNE555xzzqXkiWIVktRA0k8l/VbSF7IdT10jaZykNyXdK2lctuOpayS1kDRX0mXZjqWukTQw3ndPS/pqtuOpayR9StIDkv4haUK246lLJPWR9AdJT2c7lroi/l/3aLznrst2PHVNee85TxQjSQ9J2iZpSYn1l0haIWm1pO+VUcwVQHfgGFBYXbHWRlVUfwbsB5pSj+qviuoO4LvAX6onytqrKurPzN4zs68AnwXq1XhtVVR/fzezm4DrgaurMdxapYrqbq2Z3VC9kdZ+5azLK4Gn4z33TzUebC1Unvor7z3nw+NEks4lJCl/NLPBcV0OsBK4iJC4zAauAXKAO0sU8aX4tcvM7pP0tJldVVPxZ1sV1d8OMyuW1Bn4pZnVi78Uq6juhhLmQ21KqMcpNRN99lVF/ZnZNkn/BHwPuNvMnqip+LOtquov7vc/wONmNq+Gws+qKq67evU7o6Ry1uUVwAtmtkDSE2Z2bZbCrjXKU39mtix+ntE917Daoq5jzGy6pF4lVo8BVpvZWgBJfwauMLM7gY893pNUCByNi0XVF23tUxX1l2QX0KQ64qyNqujeOx9oAQwCDkl63syKqzXwWqKq7j0zexZ4VtJzQL1JFKvo/hPwc8Iv73qRJEKV/79Xr5WnLglJTw9gAf5kFCh3/S0rT9lewaXrDmxMWi6M69J5BrhY0m+B6dUZWB1RrvqTdKWk+4A/AXdXc2y1Xbnqzsy+b2a3ERKcB+pLkliK8t574yT9Jt5/z1d3cHVAef/v+zowHrhK0leqM7A6oLz3XgdJ9wIjJP1HdQdXx6Sry2eAz0i6h5qfU7suSVl/5b3nvEWxdEqxLu2zejM7CNT7d02SlLf+niH8B+DKWXcfbWD2SNWHUieV9957HXi9uoKpg8pbf78BflN94dQp5a27nUB9T67TSVmXZnYA+GJNB1MHpau/ct1z3qJYukIgN2m5B7A5S7HURV5/Fed1Vzlef5Xj9VdxXndVx+uycqqk/jxRLN1soEBSb0mNgc8Bz2Y5prrE66/ivO4qx+uvcrz+Ks7rrup4XVZOldSfJ4qRpCeBGUB/SYWSbjCz48DXgKnAe8BfzGxpNuOsrbz+Ks7rrnK8/irH66/ivO6qjtdl5VRn/fnwOM4555xzLiVvUXTOOeeccyl5ouicc84551LyRNE555xzzqXkiaJzzjnnnEvJE0XnnHPOOZeSJ4rOOeeccy4lTxSdq6Q4b+aC+LVV0qak5ca1IL4rJQ1IWv6ppPOr6Vg5kt6sjrLrGknfktS0nPuMk7RU0vzke0dS++Q5lCWNl/T3qoy3qpR23pLekrQi/mwsk1TjU55KulHSr6uorHxJh+L5LJT0tqSCKiq73HHG8fPaVsXxnUvwRNG5SjKznWY23MyGA/cCv0osm9lRAAXZ+nm7EvgoUTSz75vZa9VxIDMrMrNPVkfZNUFSThUW9y2gXIki8Hng52Y2InHvRO2pO/MBl3XeV8eflXOB/5bUMNOCy7NtdUhz/BXxZ30Y8ATwvRoOy7lq5Ymic9UktjYskXQvMA/oKul+SXNiq9EPk7YtlHRHbElaJKlfXH9BbKlYIGmepBaSWkt6NS4vknRZUjlfjOsWSnpY0ieBScCvYhm9JD0m6VNx+4vi+sWSHki0YqWLp8T5DZE0O+6/SFIfSQ0l7Y6f/zSpZXWzpAfi+i9ImhXX/z5VAi3pR7HsJZLulaS4/t9iS9RCSY+l2O9GSX+TNDW2XP0g6bOPHTcRr6SfSJoFjJE0VtKMeIx3JTWP2/0y7r9I0o2xzPGSXpH0TDzeHxNxAp2ANyVNSxHnx+pdocXwSuDHiXKS/Jww48ICST+P61qVPG4se7SkNyTNlfSCpM4pjn9FPLf5kl6S1CmuT3W/dVdoCVwQr8dZcduJsZ7mSXoqblvqeZfQEjgAFCXfN7Hsz0l6MH7/mKT/kfQa8LN4rf4Qz3GtpFtLu8ZJ98VKSa8DZ6YKRlJHSc/G6/uOpMFx/U8k3SfpZeDhMs6pNbAr7tdM0qPxGs+TdG5SLE/He3SVpDuTYkgZp6TO8VrPied3Zlx/mqSXY/n3ACojPufKz8z8y7/8q4q+gDuAb8fv84FiYHTS5+3jvw2BN4FBcbkQ+Gr8/hvAvfH7F4Cx8fuWQA7QCGgV13UCVsXvhwHLk46R+Pcx4FNJMTwGfApoDmwE+sb1jwNfKy2eEud6D6F1CKAJoRWpIbC7xHbtgCXAcGAw8HegYfzsfuDaFGUnYhfwJDAxLm8BGsfv26bY70ZgUzxmC2BZaceN8RpwZVzfFFgHnBGX28Q6vwX4XtK5zgfygPGExKBr3G42cGZSHaaKsbR6P+laJe2TDyxIWk553BjbO0DHuN11wP0pymvHiZm5vgL8opT77bvAd+O6nLi+E/AG0Dyu/z7wf0o77/jZW8AKYBFwCLgx6edhd9J2nwMeTKqTvwMN4vJPCD87jWMcO2Nc6a5xD2AD0CHuQDkemgAADh5JREFUMxP4dZr7+fvx+wnAnKTjzQKaprkuh4AFwFrCvdcjfvZd4IH4/ekxhsaEe3QV0ApoFu+FbqXFCTzFifuqF7Akfv/7pHq/gnAvp6x7//Kvin5ltRnfuXpgjZnNTlq+RuG9rIaEXw6DCMkMwDPx37mEVkCAt4FfS3oC+KuZ7Vd4PPoLSecQEtFcSR2BC4CnzOxDgMS/pRhISDLXxOU/AjcAd5cST7J3gB9I6gk8Y2arVeLRXGzReYKQiCyQdBswGpij0EiY+EVZ0oWSvkNI3DrGGF4AlgKPSfoHISlIZaqZJVp1/g6cQ6jvdMc9CvwtqU7eN7N5AGa2J5YzARgo6XNxuzZA4l20mWa2JW63gPCLfGaa2BLHKK3eM5XquIcJScm0eJ45hMStpDzgL5K6EJLLlXF9qvttNnCfwnuHfzezhZLGE+7dd+JxGhOSwExcHe+FTnH/F4GtZezzv2ZWnLQ8xcKj+W2SPgROIyTPqa7xUeAVM9sJIOkv8fxLOge4FMDMXpL0iKQW8bN/mNnhNLGtsPAoHUnXEV4/uSyW9/9ieUslbSYklgDTzGxf3Gd5jKdHKXGOJ7QoJ47ZTlIzwuP7SfEY/5C0L10FOldRnig6V70OJL5ReMn9m8AYM9ut8Og0+V2uI/HfIuLPppn9RNKzhF9gsyWNA84jJCpnmNlxSYWxHBFaFDJV1mOqj8WTzMz+JGlGjO1lSV8gJI/J/ouQLP8p6ZgPmdl/pg1Kak5Ims4ws02SfsKJerqYcP5XEJLUwWZWVDK0FMspjxsT20NmltgnXR0KuMXMXimx/3hO1BOkqasUZVWFVMcVsMjKfk/0d8DPzOz5eA7fg9T3m5m9Gu+7S4HH46PSg8CLZvYvFQ3ezLZJWgiMIST9yfVS8h3HAyWW0517qmt8FZn9XJS8LsnLJY+fzrOElslU5SVLd8+ki1OE/zeOnrQyJI7l+Zl3rtz8HUXnak5rYB+wV1JXQtJTKkl9zWyRmd1JeNzZn5AkbotJ4kVA97j5NOBzktrHfdvH9fsIj7lKWgYUSOoTlz9PeJyYEUl9zGy1md0FPAcMLfH5pwgtHv+WtHoa8NnYAproMV6ydacZoaV0h6RWwGfitjmEx3qvAt8htCI1TxHaBEltY8J5BaGVLJPjQmix7CnpjLhd63jcqcAtiRZTSf1ji05pqrLe05WVquzuksbEOBtLOj3Fdm2ATQqZxhcSK1Pdb7HFeKuZ3Q88Aowg/EFwXuIcFN5PTLSwZhRrbK0bRvhDohjYJakgtkJ/OoNzLSndNZ5JaKFur/AO7lVp9p9OeFSf+AOg0MwyTRATzgESLcXJ5Q0kvCawupR9S4tzGpD8LubwFMe4nMzuEefKxVsUnas58wi/yJcQ3md6O4N9vq3QIaWY8F7XS4T3pSZLmhPLXAVgZosk/V9guqTjhMe1NxDe8btP0r8T3k0kbn8wPgZ/JiZD7wIPlON8rpV0DXAM2Az8oMTn/054nDY7tnw8Y2Y/lvQjwqPRBnHfrwDvJ8W1U9KjhHraEOOC8P/VEzF5bEB4nJ3qUdtbhMfdfYE/mdkCCB1kUhx3c/KOZnYkntM98VHrIcIj/fsIjwEXxHPZRkhCS3N/PN5GMxufdIxy17uZfaDQkWExISlP2VEkxn8V8JtYTw2B/yEkwMnuIDxuLyTcT13j+lT32+eBb0k6BuwHPh/juQF4SieG8fk/hHsx5XkneUrSIcIj7wfMbGFc/13gRcK9sCx+njEzW5zqGpvZ7NgqPZNwveekKeKHwMOSFsXz/GKGh+4fH/2L0FJ4c1z/W8LP3eIYy7+a2dGkx8cl4y8sJc5bCffkFwnX9LW47nbgSUmfjes2ZRizcxlLvMzsnHN1nkJv5MFmdlu2Y3HOuVOBP3p2zjnnnHMpeYuic84555xLyVsUnXPOOedcSp4oOufKJOl1SaPi988rw/lkJV0vqbzjA6Yr68exNyqSbou9mitSTpXFVKLcXpKWlHOfR2Lnk8TyNZK+H2PcrjDDyHKFGU/qhOR7JYsxrE/0fo7L90k6W9KZCjPSLJD0nqQ7quHYd0j6dlWX61y2eKLo3ClOVTw/rplNMrPdZW9Ztczsh2aW6O17G6mHxqnrLiH0/IUwePpw4Gzg+5Jyq+OACmrF74JqjGUsoTfxo8DNsV4HA3+phmM5d0qpFf85OOfSiy1V7ynMCbxUYW7eZvGz4ZJmKsxP+zdJ7eL61yX9TNIbwDdjy9U9kl5TmB/3PEkPxXIfSTrWPToxF/WP0sSzXmFe3K/oxFzO6xTm4k3MN70yHvvsNGWc1OqiMIdwrzLO9RFJV0n6BmFWm9fi+eTEz5YozKubSetbrqQXFeZJvj0pjm/FcpYozCJTVv2PVJgbeQYnj3OXI+n/KcxXvUjSl+N6SbpbYb7q5whT0CX2EWG6wXnJgcaZOlYTh7BRmN/3r7Hs2ZLOjuvPS7oe8xWGx0HSd5Li+FGJc/p9PN5/KgytlIjlekm/jd9/XifmT75PYUifsnxeYb7kJToxpmNZ1zwRS66k/QpzhS+M93fnMs69Q7wu8yXdR9Jg1wpjGK6MA7N3IkwDiZkVmdmyDGJbrjBn8yKFOZqbx23WS/pFrJtZkhKzriTK6CtpXtJygaS5GdSdc7WKJ4rO1Q0FwO/M7HRgN3EQasL0b981s6HAYsK4agltzew8M/ufuNyOMCbgvwGTgV8RpnsbohMD+H7fzEYRBs8+T9JJg2gnM7N7Y8vMaMJ4fL9UGEj8R4QE8SLCNG9Vda6J4/6GMM7c+WZ2PiG56m5mg81sCPAwgEIi+5U0xxhDGKh4OPDPkkZJGkkYO28sYd7kmySNKCOmh4FvmNknSpR/A7DHzEYT6ucmSb0JA0n3B4YANwFnJe0zAlhoJXoYKgwa3ZQwriHAXcCvYtmfAR6M678N3BqvySeBQwpTDxbE8x0OjJR0bty+P/BHMxtBmDP4yqTDXk0Y73Bg/P7sWG5RrLeytDCzswhzZD+UwfYfxWJmGwjzdM80s2GEQaVvKuPcbwfeiufyLCdP0TeRE620vwJWKPxR9WWFsTIzie3++DO2N55Twl4zG0OYSejXyTvFKRr3JP1sfZEwYLlzdYonis7VDesSA0cTBtLuJakNIRlMzOrxKGEmlISnSpQxOSYhi4EPzGxxnBFjKWGeYAgzW8wjzMpxOpklencBr5rZZEKS9bqZbY/TjZWMIRMfO9cytl8L9JH0W0mXEH6ZJxLZe9Ps87KZ7TSzQ4Q5rc+JX38zswNmtj+uT0yFl0n9/ymp/AnAvyoMxPwu0IGQsJ0LPBlbszYDrybtcwlhPuuEqyUtjed3V9Jcw+OBu2PZzwKtY+vh24Rk/RsxruMxjgmE6zkPGMCJOao3mNnMWFfbgbUK7/B1ICRHbwMXAiMJg6YviMuJGWVK82Qsd3qMr6x3Wj+KJToKTInfJ98D6c79XOCxeMzngF1JZV1MTBTN7MfAKMJA4tdyIoEszUYzSwyO/xjhPjnpPOO/Jf9YgJDIfjG2wl5NGAjeuTrFZ2Zxrm4oOTdsWdPHQfr5cYtLlFcMNIwtXt8GRpvZLoVH0qW2uEi6HugJfC1pdSZjbh3n5D9UU815DRmca4x1GCEhuBX4LPClMo6fbj7odFLFVNrc2gK+bmZTT1opTSplnwmc3Hr6lJl9TdIngOckvWBmWwn19omY5Cb7eXycPQmYqdDxR8CdZnZfiTh68fH74ylC3S0nJMwWH4c/amb/kSbmdFLVb2nXvGQsx5JaVpPnQk557koz53F8TNw2JuUhkNDSd4+kB4DtMTEuLbZU51LW9wl/JbR2vgrMja8ROFeneIuic3WUme0hzI+baPX6F8oxV3MKrQm/sPfEd8ImlrZxfFT7bcKUbsVx9bvAuPjOWCPgn9Psvh5IzKd8BtC7nLF+NJ+wQu/WBmb2V+A/E+WW4SKFOXWbEaY1fJvwiPNTkporzEP8aeDNdAXEDj17JCVamJIfyU4FvhrrAEn9YpnTCfNx58TH9OfHz9sADVMlEmY2g9Ba+c246iWSEvPEo02FeZoXm9kvCNO/DYhxfElSy7hNd0mdSO2ZWBfXcKIl+BXgqsQ+sc56xu//mHj/MIWr4zbnEB7B76Hy1zztuXPynMcTCa9ZQKjf15K2vzQmvxBaVosIrxKUFlteTNYh1M1bJc8z/jujZLCxFXgqcA/xlQjn6hpvUXSubvsCcG9sOVlL5vPTfoyZLZQ0n/AoOpO5qL8GtCd0KgGYY2Y3Kgw5MoPQaWAekKrzw1858Wh2NrCynOHeD7wgaQuhB/TDOtFb9j8gvKMYzyvV4+e3CMlXPvCEmc2J+zxCmPsY4EEzmx9b39L5IvCQpIOEhCDhQcLj0nkxMdlOSML+RnhPdDHhnBOJ/UWkmb85+kUs62fAN4DfKcxJ3JCQJH0FuE3S+YTkZxnwQpz7eSAwI16j/YS5m4tKHiC2zC4DBpnZrLhumaQfAC/pxPzJtxLm4B5K7BiSwi5J7xD++Ei07lb2mlPKuf+IMOfxPEKdJuYOnwg8nbT/vwC/itfrOHCdmRVJKi2294AvKHSSWUVI+hKaSHqX0OhyTZqYHye8//lSBc7XuazzmVmccy7LJD1ISExnlrlxLSCpNfAHM0vXYlwrxMRxrJkdq+D+vYApZjY4xWfrgVFmtqOMMr4NtDGz/6xIDM5lm7coOudclpnZjdmOoTzMbC/pXyuoNcwsk9cQqo2kvwF9Ca3IztVJ3qLonHPOOedS8s4szjnnnHMuJU8UnXPOOedcSp4oOuecc865lDxRdM4555xzKXmi6JxzzjnnUvr/AdzrmxAVFUFfAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,3))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\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 Fee\")\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks([10**k for k in range(-6,1)])\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": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'Transaction size as percent of the xDAI Reserve\\nnormalizd units: bonded/Reserve, withdraw/Reserve')" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,5))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage','bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With and Without Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks([10**k for k in range(-6,1)])\n", - "plt.xlabel(\"\"\"Transaction size as percent of the xDAI Reserve\n", - "normalizd units: bonded/Reserve, withdraw/Reserve\"\"\")" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(0.01, 4.475559505492301), (0.02509430066318874, 10.0)]" - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,5))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "#ax.plot([ticks[0],ticks[-1]],[ticks[0]*phi,ticks[-1]*phi], 'k--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage', 'burn_to_withdraw_slippage','bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With and Without Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks(ticks)\n", - "plt.xlabel(\"\"\"Transaction size as percent of the xDAI Reserve\n", - "normalizd units: bonded/Reserve, withdraw/Reserve\"\"\")\n", - "axis = ax.axis()\n", - "ax.set(xlim=((1.0-(1.0-phi)**(1.0/kappa))*10, axis[1]), ylim=(phi, axis[3]))" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 0, 'Transaction size as percent of the xDAI Reserve\\nnormalizd units: bonded/Reserve, withdraw/Reserve')" - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,3))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks(ticks)\n", - "plt.xlabel(\"\"\"Transaction size as percent of the xDAI Reserve\n", - "normalizd units: bonded/Reserve, withdraw/Reserve\"\"\")\n", - "\n", - "#axis = ax.axis()\n", - "#ax.set(xlim=(bound*.99, axis[1]), ylim=(phi, axis[3]))" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[(0.01, 4.261370305570391), (0.02574, 10.0)]" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
    " - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(figsize=(10,3))\n", - "ax.hlines(phi, TXF[0],TXF[-1], linestyle='--')\n", - "ax.hlines(1, TXF[0],TXF[-1], linestyle='--')\n", - "ax.vlines(bound, ticks[0],ticks[-1], linestyle='--')\n", - "ax.vlines(1, ticks[0],ticks[-1], linestyle='--')\n", - "pdf2.plot(x='tx_fraction', y = ['bond_to_mint_slippage_fee', 'burn_to_withdraw_slippage_fee'], logx=True, logy=True, ax=ax)\n", - "plt.title(\"Friction for Bond and Withdraw accounting With Fee, phi=\"+str(phi))\n", - "plt.ylabel(\"\"\"Percentage Change:\n", - "Realized Price\n", - "Relative to Spot Price\"\"\")\n", - "plt.yticks(ticks)\n", - "plt.xlabel(\"\"\"Transaction size as percent of the asset Burned or Bonded\n", - "normalizd units: bonded/Reserve, burned/Supply\"\"\")\n", - "\n", - "axis = ax.axis()\n", - "ax.set(xlim=(bound*.99, axis[1]), ylim=(phi, axis[3]))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "i am getting like 2.6% limiting slippage for burn to withdraw, need to reverse engineer analytics solution\n", - "\n", - "or Needs debugging" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.025" - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "10*phi/4" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.02509430066318874" - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "(1-(1-phi)**(1/kappa))*10" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3162" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pdf2.burn_to_withdraw_slippage_fee.apply(np.abs).idxmin()" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tx_fraction 0.000011\n", - "spot_price 0.056234\n", - "mint_price 0.056234\n", - "withdraw_price 0.056234\n", - "mint_price_fee 0.056802\n", - "withdraw_price_fee 0.056802\n", - "bond_to_mint_slippage 0.000004\n", - "burn_to_withdraw_slippage 0.000004\n", - "bond_to_mint_slippage_fee 0.010105\n", - "burn_to_withdraw_slippage_fee -0.010097\n", - "Name: 737, dtype: float64" - ] - }, - "execution_count": 25, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "pdf2.iloc[737]" - ] - } - ], - "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": "3.7.5" - } - }, - "nbformat": 4, - "nbformat_minor": 2 -}