{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Futures Contracts\n", "by Maxwell Margenot and Delaney Mackenzie\n", "\n", "Part of the Quantopian Lecture Series:\n", "\n", "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n", "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n", "\n", "\n", "---\n", "\n", "\n", "Futures contracts are derivatives and they are fundamentally different from equities, so it is important to understand what they are and how they work. In this lecture we will detail the basic unit of a futures contract, the forward contract, specifics on the valuation of futures contracts, and some things to keep in mind when handling futures. Our goal here is to cover what makes futures tick before we get into performing any sort of statistical analysis of them." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Derivatives\n", "We have stated that a futures contract is a derivative, so let's be clear on what a derivative is. A derivative is a financial instrument whose value is dependent on the value of an underlying asset. This can be a complex relationship or it can be something very simple. Derivatives have been constructed for a variety of different purposes in order to make more and more intricate bets about the markets. They provide new ways to express your expectations of how the markets will move and are used to great effect in conjunction with more conventional investments. Large amounts of resources are devoted to the construction and pricing of exotic derivatives, though that is beyond the scope of this lecture.\n", "\n", "A futures contract is a standardized version of one of the simplest possible derivatives, the **forward contract**. Let's look at how forward contracts behave to give us a little more background on futures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward Contracts\n", "A futures contract at its heart is based on a derivative called a forward contract. This is an agreement between two parties to pay a delivery price, $K$, for an asset at some predetermined point in the future. Forward contracts are basic over the counter (OTC) derivatives, typically used for hedging. They are used for neutralizing risk by locking the price for an asset, obligating both sides of the contract to follow through.\n", "\n", "Entering into a long position on a forward contract entails agreeing to buy the underlying asset while entering into a short position entails agreeing to sell the underlying. Let's say that the price of the good is denotated by $S_i$, indexed with time, with $T$ being the maturity date of the forward contract. Then the **payoff** of a long position in a forward contract is:\n", "\n", "$$ S_T - K $$\n", "\n", "And the payoff of a short position in a forward contract is:\n", "\n", "$$ K - S_T$$\n", "\n", "Where $S_T$ is the value of the underlying at maturity and $K$ is the value agreed upon for the underlying at maturity. The specific value of $K$ is negotiated between the parties entering into a forward contract together so it can vary quite a bit, depending on the relevant parties.\n", "\n", "The payoff of a derivative is simply the realized cash value at the end of its life. This settlement can take place with either the delivery and exchange of actual goods or a simple cash settlement. As we can see in the following graphs, a forward contract has a linear payoff." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# K is the delivery price agreed upon in the contract\n", "K = 50\n", "# Here we look at various different values that S_T can have\n", "S_T = np.linspace(0, 100, 200)\n", "# Calculate the long and short payoffs\n", "long_payoff = S_T - K\n", "short_payoff = K - S_T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the long side payoff:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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HlgmAj6tUgLrgggty1FFHNX6N7m//9m9z0EEHtfRsSZIlS5akX79+jbd79eqV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\nzz77bJJkxowZOeaYYzJgwIA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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(S_T, long_payoff)\n", "plt.axhline(0, color='black', alpha=0.3)\n", "plt.axvline(0, color='black', alpha=0.3)\n", "plt.xlim(0, 100)\n", "plt.ylim(-100, 100)\n", "plt.axvline(K, linestyle='dashed', color='r', label='K')\n", "plt.ylabel('Payoff')\n", "plt.xlabel('$S_T$')\n", "plt.title('Payoff of a Long Forward Contract')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And this is the short side payoff:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(S_T, short_payoff);\n", "plt.axhline(0, color='black', alpha=0.3)\n", "plt.axvline(0, color='black', alpha=0.3)\n", "plt.xlim(0, 100)\n", "plt.ylim(-100, 100)\n", "plt.axvline(K, linestyle='dashed', color='r', label='K')\n", "plt.ylabel('Payoff')\n", "plt.xlabel('$S_T$')\n", "plt.title('Payoff of a Short Forward Contract')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For a long position on a forward contract, you benefit if the price at expiry is greater than the delivery price, while the opposite holds with a short position. However, even if you do not make a profit on your position there can be advantages. A forward contract locks in a price for a transaction, removing any uncertainty that you may have about a sale or purchase in the future. This is advantageous in cases where you know what you will need at some point in the future (or have a good idea of what you will need due to your models).\n", "\n", "Hedging with a forward contract serves to help remove any sort of uncertainty about the price that you will pay (or be paid) for a good. If you are a producer, you can easily protect yourself against falling prices by using a short position in a forward contract with a delivery price that you find amenable. Similarly, if you are a buyer, you can easily protect yourself with a long position.\n", "\n", "Say that you need a certain quantity of copper for circuit board production in May. You could wait until May to purchase the appropriate amount, but you will be at the mercy of the **spot market**, the market where assets are traded for immediate delivery. Depending on your risk model and the cost of housing large amounts of copper, it may be more reasonable to enter into a forward contract for delivery in May with a distributor today. This way you are more prepared to meet your production demands." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forward Contract Issues\n", "Of course, we seldom know exactly when we will need an asset. In addition, entering into a private agreement with another party exposes you to **counterparty risk**, the risk that one or the other party in a transaction will renege on a deal. How the contract is actually settled is also up to the two parties, whether it be with an exchange of assets or a simple cash reconciliation. Forward contracts leave the delivery date, delivery method, and quantity up for debate. Their OTC nature gives a large degree of customizability, but directly contributes to the aforementioned issues and a lack of liquidity. It is unlikely that another party will be willing to take on an agreement that is highly customized to someone else's terms. There are definitely merits for the various possibilities for hedging that forward contracts provide, however, which is where futures contracts come in." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How is a Futures Contract Different?\n", "Futures contracts are forward contracts that have been standardized for trade on an exchange. A single futures contract is for a set amount of the underlying with agreed-upon settlement, delivery date, and terms. On top of this, the exchange acts as an intermediary, virtually eliminating counterparty risk. However, this isn't to say that all futures contracts are standardized across the entire futures market. Futures for a given asset are standardized, so the terms of corn futures may differ from the terms of pork bellies futures. \n", "\n", "Another quirk of futures contracts is that they are settled daily with a margin account at a broker held by the holder of the futures contract. Each day, the change in price of the underlying is reflected in an increase or a decrease in the amount of money in the margin account. This process is called \"marking to market\".\n", "\n", "### Marking to Market and Margin Accounts\n", "DISCLAIMER: Margin is not currently modeled automatically on Quantopian. You should restrict your total position allocations manually.\n", "\n", "Entering into a futures trade entails putting up a certain amount of cash. This amount will vary depending on the terms of the contract and is called your initial margin. This cash goes into a margin account held with the broker you are doing your trading with. Each day, the value of the futures contract position is marked to market. This means that any change in the futures price over the course of the day is reflected by a change in the margin account balance proportional to the number of contracts that you hold positions in.\n", "\n", "You can withdraw any excess in the account over the initial margin if you so choose, but it is important to be mindful of keeping cash available to the broker, above the line of the **maintenance margin**. The maintenance margin is again determined by the terms of the contract. If the balance in your margin account falls below the maintenance margin, the broker will issue a **margin call**. To comply, you must top up the account with cash up to the initial margin again. If you choose not to or fail to meet the margin call, your position in the contract is closed.\n", "\n", "### Example: Corn Futures\n", "Let's say that we want to get **five** corn futures contracts. Each corn contract is standardized for $5000$ bushels of corn (Around $127$ metric tons!) and corn is quoted in cents per bushel. Let's also say that our initial margin is $\\$990$ per contract when we enter a position and our maintenance margin is $\\$900$ per contract.\n", "\n", "We can look at how this example would play out with actual numbers. Let's pull a small section of pricing data for a corn contract and imagine that we entered into a position and held it until maturity." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MjLB884gBDFBERERERGT39p2shEkA5ltx9AlggCIiIiIiIjtnNAnYc6K/ecSMVOs0jxjA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\nxAA1CFv3FsNkErByfiJkUt7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fZVMJeyUIArJyqqFUyDAlOUzscohIBAxQ5PQmxAdDKpWI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "contract = symbols('CNH17')\n", "futures_position_value = get_pricing(contract, start_date = '2017-01-19', end_date = '2017-02-15', fields = 'price')\n", "futures_position_value.name = futures_position_value.name.symbol\n", "futures_position_value.plot()\n", "plt.title('Corn Futures Price')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot shows some signifiant decreases in price over the chosen time period, which should be reflected by drops in the margin account." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "initial_margin = 990\n", "maintenance_margin = 900\n", "contract_count = 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we calculate when a margin call would occur as the futures price and margin account balance change." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# We hit two margin calls over this time period\n", "margin_account_changes = futures_position_value.diff()*contract.multiplier*contract_count\n", "margin_account_changes[0] = initial_margin*contract_count\n", "margin_account_balance = margin_account_changes.cumsum()\n", "margin_account_balance.name = 'Margin Account Balance'\n", "# First margin call\n", "margin_call_idx = np.where(margin_account_balance < maintenance_margin*contract_count)[0][0]\n", "margin_deposit = initial_margin*contract_count - margin_account_balance[margin_call_idx] \n", "margin_account_balance[margin_call_idx+1:] = margin_account_balance[margin_call_idx+1:] + margin_deposit\n", "# Second margin call\n", "second_margin_call_idx = np.where(margin_account_balance < maintenance_margin*contract_count)[0][1]\n", "second_margin_deposit = initial_margin*contract_count - margin_account_balance[second_margin_call_idx]\n", "margin_account_balance[second_margin_call_idx+1:] = margin_account_balance[second_margin_call_idx+1:] + second_margin_deposit" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ej4iIiIjoLqSkpKBbt2746aefTNJHjx6NuXPn3tW+P/zwQ5w/f97i/Onp6fDy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\nwACee+453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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(futures_position_value*contract.multiplier).plot()\n", "margin_account_balance.plot()\n", "plt.axvline(margin_account_balance.index[margin_call_idx], color='r', linestyle='--')\n", "plt.axvline(margin_account_balance.index[second_margin_call_idx], color='r', linestyle='--')\n", "plt.axhline(maintenance_margin*contract_count, color='r', linestyle='--')\n", "plt.title('Overall Value of a Futures Contract with the Margin Account Balance')\n", "plt.xlabel('Date')\n", "plt.ylabel('Value')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The jump in the margin account balance that occurs after each vertical dotted line is the point at which we meet the margin call, increasing the margin account balance to our initial margin once more. Note that the lagged response to the second theoretical margin call in this example is due to a weekend. Notice how a small perturbations in the futures price lead to large changes in the margin account balance. This is a consequence of the inherent leverage." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Financial vs. Commodity Futures\n", "You can enter into futures contracts on many different types of assets. These range from actual, physical goods such as corn or wheat to more abstract assets, such as some multiplier times a stock market index. Futures contracts based on physical goods are generally called commodity futures, while those based on financial instruments are called financial futures. These can be further broken down into categories based on the general class of commodity or financial instrument.\n", "\n", "In general, financial futures are more liquid than commodity futures. Let's compare the volume of two contracts deliverable in March 2017, one on the S&P 500 Index and the other on natural gas." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nDnv37sXFxYXMzEwmTpxI/fr1GTduHCEhIbRt29Yos3nz5uzfvx/IXibqlVde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yYQsoDs+RWENxDBOx+Po8aswTVXlF+wcDoUchobOqwYn/EJxQMhPfyFfSWbXAALeVjnRpywOfxg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\n4zQma6iv27169eK1115j06ZNdOjQwfTgaA29ckpoTNalpaWsWrUKCwsL0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "contracts = symbols(['ESH17', 'NGH17'])\n", "volume_comparison = get_pricing(contracts, start_date = '2016-12-01', end_date = '2017-04-01', fields = 'volume')\n", "volume_comparison.plot()\n", "plt.title('Volume of S&P 500 E-Mini and Natural Gas Contracts for March Delivery')\n", "plt.xlabel('Date')\n", "plt.ylabel('Volume');" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Future(1034201703 [ESH17]) 2095150.0\n", "Future(1061201703 [NGH17]) 134561.0\n", "dtype: float64\n" ] } ], "source": [ "print volume_comparison.max()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The S&P 500 E-Mini contract has a value based on 50 units of the value of the S&P 500 Index. This financial future has a significant advantage in liquidity compared to natural gas for the same expiry. It likely helps that the S&P 500 E-Mini cash-settled, while the natural gas contract requires arrangements to be made for transportation and storage of fuel, but the main takeaway here is that there are a lot more people trying to trade financial futures." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Delivery and Naming\n", "Different futures contracts will differ on the available delivery months. Some contracts have delivery every month, while some only have delivery a few times a year. The naming conventions for a given futures contract include the delivery month and year for the specific contract that they refer to. The month codes are standardized and [well-documented](http://www.investopedia.com/terms/d/deliverymonth.asp), but the specific symbol that refers to the underlying varies depending on the broker. For an overview of the contract names that we use on Quantopian, please refer to the [Futures API Introduction](https://www.quantopian.com/posts/futures-data-now-available-in-research).\n", "\n", "The delivery terms of a futures contract are listed in the contract specifications for that underlying asset. With commodity futures, this often includes terms for the physical delivery of, for example, 1000 barrels of oil. This will vary between assets. Some contracts, particularly financials, allow for cash settlement, making it easier to deliver." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Closing a Futures Position\n", "In order to close a futures position, you simply take up an opposite position in the same contract. The broker will see that you have two opposite positions in the same asset so you are flat, effectively closing the account's exposure. As this requires actually being able to open the opposing position, care needs to be taken to do this in a timely manner as futures have varying liquidity as they approach expiry. The majority of volume for a given contract tends to take place during this same period of time, but there is a chance that liquidity may drop and you will be unable to close your futures positions, resulting in you taking delivery.\n", "\n", "The delivery date calendar varies from underlying to underlying and from month to month, which means that you have to take proper care to make sure you unwind your positions in a timely manner.\n", "\n", "Here we plot the volume of futures contracts on \"Light Sweet Crude Oil\" with January, February, and March delivery." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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z81P6+vvvv2MymZg8eTJBQUEMHDiQ77//HsirnDdixAiCg4MJCgriwoULABw8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\nDgerV6/mrbfeoqKigv79+2MymfDy8vL07ghXwPLly1m/fj1ms5mwsDA+/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cls = symbols(['CLF16', 'CLG16', 'CLH16'])\n", "contract_volume = get_pricing(cls, start_date='2015-10-01', end_date='2016-04-01', fields='volume')\n", "contract_volume.plot()\n", "plt.title('Volume of Contracts with Different Expiry')\n", "plt.xlabel('Date')\n", "plt.ylabel('Volume');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As one contract fades out of the spotlight, the contract for the next month fades in. It is common practice to **roll over** positions in contracts, closing the previous month's positions and opening up equivalent positions in the next set of contracts. Note that when you create a futures object, you can access the `expiration_date` attribute to see when the contract will stop trading." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2015-12-21 00:00:00+00:00\n" ] } ], "source": [ "cl_january_contract = symbols('CLF16')\n", "print cl_january_contract.expiration_date" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expiration date for this crude oil contract is in December, but the delivery does not occur until January. This time lag between expiration and delivery varies for different underlyings. For example, the S&P 500 E-Mini contract, a financial future, has an expiration date in the same month as its delivery." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2017-03-17 00:00:00+00:00\n" ] } ], "source": [ "es_march_contract = symbols('ESH17')\n", "print es_march_contract.expiration_date" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spot Prices and Futures Prices\n", "An important feature of futures markets is that as a contract approaches its expiry, its futures price will converge to the spot price. To show this, we will examine how SPY and a S&P 500 E-Mini contract move against each other. SPY tracks the S&P 500 Index, which is the underlying for the S&P 500 E-Mini contract. If we plot ten times the price of the ETF (the value is scaled down from the actual index), then ideally the difference between them should go to 0 as we approach the expiry of the contract." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WRkGJnbdW7uPbHervvE4HHkJJS0vD89mXgBtCIhsdr9ercPucVVzWJZ4nfjW4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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "assets = ['SPY', 'ESH16']\n", "prices = get_pricing(assets, start_date = '2015-01-01', end_date = '2016-04-15', fields = 'price')\n", "prices.columns = map(lambda x: x.symbol, prices.columns)\n", "prices['ESH16'].plot()\n", "(10*prices['SPY']).plot()\n", "plt.legend()\n", "plt.title('Price of a S&P 500 E-Mini Contract vs SPY')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at a plot of the prices does not tell us very much, unfortunately. It looks like the values might be getting closer, but we cannot quite tell. Let's look instead at the mean squared error between the ETF and futures prices." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6Wi0tLVq1apVWr16tNWvWaPXq1Tpy5Iiee+45DRs2TE888YSuv/56LV++3OmlJqGCBAAA\nALiPowHp3Xff1Xvvvadp06YpGo3q9ddf1wUXXCBJuuCCC/Tqq69q+/btKi0tVVFRkfx+vyZNmqRA\nIKDNmzdr+vTpkqQpU6Zo69atTi61k6B1DhIJCQAAAHANRwPSfffdpyVLltjft7S0qKCgQJI0cuRI\nHThwQAcPHlRxcbH9nOLiYtXX16uhocF+3OPxyDAMhcNhJ5dri0RMmWYsGNFhBwAAALiHz6kXfuaZ\nZ3TOOedo7NixKX/e1fjsrh43TTPjawcCgYyfm4pVPZKkXbvekdn8Ya9eLxt6+57gPO5R/uGe5R/u\nWf7hnuUf7ll+4r5lj2MBadOmTdqzZ49efPFF1dXVqaCgQIMGDVIwGFRhYaHq6uo0evRolZSUqL6+\n3v69uro6lZWVqaSkRA0NDZowYYJdOfL5MltueXl5r9Z+5FhQemqfJOmfT/tnlU8c3avX661AINDr\n9wRncY/yD/cs/3DP8g/3LP9wz/IT963n0gVKxwLSihUr7K9XrlypcePGaevWrdqwYYMuueQSbdy4\nUeeff75KS0t1++23q7m5WR6PR9u2bdNtt92mo0ePasOGDZo6dapqamo0efJkp5baiTXBTqLFDgAA\nAHATxwJSKjfeeKO+973v6amnntLYsWN12WWXyev1atGiRZo3b54Mw9CCBQs0ePBgVVZWqra2VnPm\nzJHf79eyZcv6bJ2hcObtfAAAAABOHn0SkObPn29//eijj3b6eUVFhSoqKpIeMwxDVVVVjq8tlcSA\nxDlIAAAAgHs4fg5SPgqG2lvsmPINAAAAuAcBKYVQpL2C1NVUPQAAAAAnHwJSCqFQYotdPy4EAAAA\nQJ8iIKWQPKSBhAQAAAC4BQEphSBjvgEAAABXIiClkNhiRz4CAAAA3IOAlEIoklhBIiIBAAAAbkFA\nSiGYWEEiHwEAAACuQUBKIWlIAwEJAAAAcA0CUgqhxCENJCQAAADANQhIKSRWkDgHCQAAAHAPAlIK\nwaQWOxISAAAA4BYEpBQSK0jEIwAAAMA9CEgphEIcFAsAAAC4EQEphcQWO85BAgAAANyDgJRC0hQ7\n8hEAAADgGgSkFJKGNLALCQAAAHANAlIKYcZ8AwAAAK5EQEohyJAGAAAAwJUISCmEIrTYAQAAAG5E\nQEohFEqcYtePCwEAAADQpwhIKYQY8w0AAAC4EgEphWDimO9+XAcAAACAvkVASiH5oNh+XAgAAACA\nPkVASiGcUEEiIQEAAADuQUBKIRjiHCQAAADAjQhIKSSO+Y6yCwkAAABwDQJSCqFQYotd/60DAAAA\nQN8iIHUQiZhJbXXkIwAAAMA9CEgdJE6wkzgHCQAAAHATAlIH1iGxXsMjiSF2AAAAgJsQkDoIxUd8\nFxZ4JRGQAAAAADchIHVgjfguLIj9aWixAwAAANyDgNRBpwpSfy4GAAAAQJ8iIHVgDWko9FktdkQk\nAAAAwC0ISB2E4wHJH68gAQAAAHAPn5Mv3traqiVLlujgwYMKBoP69re/rY0bN2rHjh0aMWKEJOm6\n667TtGnTtH79eq1Zs0Zer1dXXHGFZs+erXA4rCVLlmjfvn3yer2qqqrSuHHjnFyygvEWu4L4HiST\nChIAAADgGo4GpJqaGp155pm67rrrtG/fPl177bWaNGmSFi9erGnTptnPa2lp0apVq1RdXS2fz6fZ\ns2eroqJCNTU1GjZsmB544AHV1tZq+fLlWrFihZNLtsd82xUk8hEAAADgGo4GpMrKSvvrffv2acyY\nMZI67+vZvn27SktLVVRUJEmaNGmSAoGANm/erC9/+cuSpClTpujWW291crmSEqfYMaQBAAAAcJs+\n2YP0ta99Td/73vfsgPP444/rmmuu0aJFi9TY2KiGhgYVFxfbzy8uLlZ9fX3S4x6PR4ZhKBwOO7rW\n9il21phvRy8HAAAAIIc4WkGyrF27Vjt37tTixYt16623avjw4Zo4caIefvhhrVy5UmVlZUnP72py\nnGmaGV0vEAic8Fp3/d8xSdKxo4clSXv37lUg0HzCr5ctvXlP6Bvco/zDPcs/3LP8wz3LP9yz/MR9\nyx5HA9KOHTs0cuRIjRkzRhMnTlQkEtHpp59uV4UuvPBC3XXXXZo1a5Zefvll+/fq6upUVlamkpIS\nNTQ0aMKECXblyOfrfsnl5eUnvOb9Le9KatTYMSXa/t7fNWbMWJWXTzzh18uGQCDQq/cE53GP8g/3\nLP9wz/IP9yz/cM/yE/et59IFSkdb7N544w394he/kCQ1NDTo+PHjuvPOO/X2229LkrZs2aLTTz9d\npaWl2rFjh5qbm3Xs2DFt27ZN5eXlmjp1qjZs2CApNvBh8uTJTi5XktQW34M0oDAWxKLsQgIAAABc\nw9EK0te//nXdeuutuuqqq9TW1qY777xTgwYN0tKlS1VUVKSioiLdc8898vv9WrRokebNmyfDMLRg\nwQINHjxYlZWVqq2t1Zw5c+T3+7Vs2TInlytJagvF9iANKGSKHQAAAOA2jgYkv9+v5cuXd3r86aef\n7vRYRUWFKioqkh4zDENVVVWOrS+VtmCslc8KSJyDBAAAALhHn0yxyydB6xykwj6ZXwEAAAAghxCQ\nOmgLJrfYUUACAAAA3IOA1IEVkPx2QCIhAQAAAG5BQOqgLWTtQYpPsSMfAQAAAK5BQOogaI/5jleQ\n+nMxAAAAAPoUAakDa8x3YQEtdgAAAIDbEJA6aAuG5S/0yuOJfU8+AgAAANyDgNRBW8hUoc8rTzwh\nRWmyAwAAAFyDgNRBWygSqyBZD5CPAAAAANcgIHUQDEbkL0isIAEAAABwCwJSB20hKyDFvo+aRCQA\nAADALQhICaLRaHuLHRUkAAAAwHUISAnCkahMMxqrIMUfY8w3AAAA4B4EpATB+BlI/kKvrIREPAIA\nAADcg4CUIPGQWMNqsSMhAQAAAK5BQErQFoxXkAq89mO02AEAAADuQUBKkNhi5/F082QAAAAAJx0C\nUoLEFjtrip3JmG8AAADANQhICRJb7KggAQAAAO5DQErQlthiJ4Y0AAAAAG5DQErQ3mJn2BWkKIO+\nAQAAANcgICVob7Hz2Y9RQQIAAADcg4CUILHFrv0cJBISAAAA4BYEpAT2mO8CQ7Jb7AAAAAC4BQEp\nQWKLnYeEBAAAALgOASlBUotd/C9j0mIHAAAAuAYBKUEwYYqdjXwEAAAAuAYBKUHyQbHxIQ39uSAA\nAAAAfYqAlKC9xc5n7UCixQ4AAABwEV/3T3EPOyAVeNsfJB8BAAAArkEFKYHVYldYYMhjD7EjIQEA\nAABuQUBKEExRQaLDDgAAAHAPAlKCtlBEPq8hr9doH9JAQgIAAABcg4CUoC0YkT8+4tuwWuzIRwAA\nAIBrEJAStIUi8hfG2+usTUgAAAAAXIOAlCBWQYoN9rPiERUkAAAAwD0cHfPd2tqqJUuW6ODBgwoG\ng/r2t7+tiRMn6pZbblE0GtUpp5yi++67TwUFBVq/fr3WrFkjr9erK664QrNnz1Y4HNaSJUu0b98+\neb1eVVVVady4cY6tNxiKaMigAkntBSTOQQIAAADcw9GAVFNTozPPPFPXXXed9u3bp2uvvVaTJk3S\n1VdfrZkzZ2rFihWqrq7WpZdeqlWrVqm6ulo+n0+zZ89WRUWFampqNGzYMD3wwAOqra3V8uXLtWLF\nCsfWm9hi56HFDgAAAHAdR1vsKisrdd1110mS9u3bpzFjxuj111/XF7/4RUnSBRdcoFdffVXbt29X\naWmpioqK5Pf7NWnSJAUCAW3evFnTp0+XJE2ZMkVbt251bK0RM6pQ2EzRYkcFCQAAAHALRytIlq99\n7Ws6cOCAHnroIc2bN08FBbE2tpEjR+rAgQM6ePCgiouL7ecXFxervr5eDQ0N9uMej0eGYSgcDsvn\ny/6yQ6H2Q2JjF4z9QzwCAAAA3KNPAtLatWu1c+dOLV68OKki01V1pqvHTdPM6HqBQKDHazzWGgtI\nx48dVSAQUCgSW8PhpsMn9HrZlgtrQHrco/zDPcs/3LP8wz3LP9yz/MR9yx5HA9KOHTs0cuRIjRkz\nRhMnTpRpmioqKlIwGFRhYaHq6uo0evRolZSUqL6+3v69uro6lZWVqaSkRA0NDZowYYLC4XBswRlU\nj8rLy3u81gOHjkv6hz5SMlLl5eUKhSPSk3s1ZOjQE3q9bAoEAv2+BqTHPco/3LP8wz3LP9yz/MM9\ny0/ct55LFygd3YP0xhtv6Be/+IUkqaGhQcePH9d5552nDRs2SJI2btyo888/X6WlpdqxY4eam5t1\n7Ngxbdu2TeXl5Zo6dar93JqaGk2ePNmxtbbFW+z8hVYAo8cOAAAAcBtHK0hf//rXdeutt+qqq65S\nW1ub7rrrLp1xxhn63ve+p6eeekpjx47VZZddJq/Xq0WLFmnevHkyDEMLFizQ4MGDVVlZqdraWs2Z\nM0d+v1/Lli1zbK1tHfYgMeYbAAAAcB9HA5Lf79fy5cs7Pf7oo492eqyiokIVFRVJjxmGoaqqKsfW\nl6gtGK8gFTDmGwAAAHArR1vs8knQbrGLB6T44xSQAAAAAPcgIMXZe5DsClLs8SibkAAAAADXICDF\nddViRwUJAAAAcA8CUlzHFjspVkXq6kwmAAAAACcfAlJc+xS7hIAkKkgAAACAmxCQ4jq22Elq34gE\nAAAAwBUISHFtqVrsxDlIAAAAgJsQkOKCqVrsPB4xxA4AAABwDwJSXKoWu1g+IiEBAAAAbkFAiuuq\nxY4OOwAAAMA9CEhxHQ+KlSSP4WHMNwAAAOAiBKS4lC12YgsSAAAA4CYEpLiULXYeWuwAAAAANyEg\nxQVDERkeyedN/JPQYgcAAAC4CQEpri0UUWGBNzbaO85wuIL0SuBDzb+/Ri1tYecuAgAAACBjBKS4\ntmAkqb1OUqzHzkFvvndI7+8/qgONxx29DgAAAIDMEJDigqFI0oAGyRrz7VwJyTRjr00XHwAAAJAb\nCEhxVotdIo9HMh0ML1b4Yp8TAAAAkBsISHGpWuxi+5EcrCDFg5HpZAoDAAAAkDECkmIVnJQtdg4P\naaDFDgAAAMgtBCRJ4YgpM6rOLXbyOBperNc2SUgAAABATiAgKdZeJ6lTBUmevhrSQEACAAAAcgEB\nSbEBDZI67UEyPE7uQGqvHJGPAAAAgNxAQFJCQOpYQZKzCcke0kBCAgAAAHICAUldt9h5PFLUwYRk\n5SLyEQAAAJAbCEjqusXO4/E4eg6StQeJChIAAACQGwhIkoLxgJTqoFgnyzsmB8UCAAAAOYWApDQt\ndnJ2SIPdYmc6eBEAAAAAGSMgqesWO3k8ijrYY0eLHQAAAJBbCEhqb7HrWEFizDcAAADgLgQktbfY\nddqDJI+j4YUKEgAAAJBbCEhK12InOVlDah/zTUACAAAAcgEBSV0fFOuRnB3zTYsdAAAAkFMISErT\nYudxdhMSLXYAAABAbiEgKd1BsVLUwYTEOUgAAABAbvE5fYH77rtPW7duVSQS0be+9S3V1NRox44d\nGjFihCTpuuuu07Rp07R+/XqtWbNGXq9XV1xxhWbPnq1wOKwlS5Zo37598nq9qqqq0rhx47K+xmAo\ndhBRpxY7j7Ptb1YwcrKNDwAAAEDmHA1Ir732mnbv3q21a9eqqalJl112mc4991wtXrxY06ZNs5/X\n0tKiVatWqbq6Wj6fT7Nnz1ZFRYVqamo0bNgwPfDAA6qtrdXy5cu1YsWKrK+zLRiW1DkgSR5Hqzsm\nQxoAAACAnOJoi90555yjBx98UJI0dOhQHT9+XKZpdgoE27dvV2lpqYqKiuT3+zVp0iQFAgFt3rxZ\n06dPlyRNmTJFW7dudWSdXbXYGQ5XkKw9SFHTuWsAAAAAyJyjAckwDA0cOFCS9Jvf/EZf+MIXZBiG\nHnvsMV1zzTVatGiRGhsb1dDQoOLiYvv3iouLVV9fn/S4x+ORYRgKh8NZX6c1pKFzi53H0YNi21vs\nqCABAAAAucDxPUiS9NJLL+npp5/WI488oh07dmj48OGaOHGiHn74Ya1cuVJlZWVJz++q5cw0nSm1\nWHuQOk6xiy/GkWtKCRUkAhIAAACQExwPSH/84x/18MMP65FHHtHgwYN17rnn2j+78MILddddd2nW\nrFl6+eWFZOJ6AAAgAElEQVSX7cfr6upUVlamkpISNTQ0aMKECXblyOfrfsmBQKBHazzUdFheQ9q2\nLbmFr7W1RaFwpMevl6njLS2SpHffe09DdCDtc51aA7KHe5R/uGf5h3uWf7hn+Yd7lp+4b9njaEBq\nbm7W/fffr1/+8pcaMmSIJOnGG2/UDTfcoAkTJmjLli06/fTTVVpaqttvv13Nzc3yeDzatm2bbrvt\nNh09elQbNmzQ1KlTVVNTo8mTJ2d03fLy8h6t8xc1NRro7/x7gza9osPHm3v8epkq/P3/SGrWqad+\nTOXl47t8XiAQcGwNyA7uUf7hnuUf7ln+4Z7lH+5ZfuK+9Vy6QOloQHr++efV1NSk7373u4pGo/J4\nPLr88su1dOlSFRUVqaioSPfcc4/8fr8WLVqkefPmyTAMLViwQIMHD1ZlZaVqa2s1Z84c+f1+LVu2\nzJF1BkNmyva6vhrzTYsdAAAAkBscDUhXXnmlrrzyyk6Pf/nLX+70WEVFhSoqKpIeMwxDVVVVjq3P\n0hYKy1/Y+U/hkbNnFFm5iHOQAAAAgNzg6BS7fNEWjKQ4Ayk2xc7JElKEChIAAACQUwhIktpCZqcz\nkKR4i52D120f8+3gRQAAAABkzPUBKRIxFY6YqStI8vTNQbFUkAAAAICc4PqA1BaKHRKb8gwkj7Ph\nxR7SQAkJAAAAyAmuD0jWIbGpWuwMj8fRFjvr3FvyEQAAAJAbXB+QrApSqhY7SY4OaTAZ0gAAAADk\nFAJSMCwpdUByekiDtQeJChIAAACQG1wfkNK12Hk8zg5p4KBYAAAAILe4PiClG9Lg8cT+dSrAWJUj\nAhIAAACQG9IGpMbGxi5/9sYbb2R9Mf2hLdj1HiSPYgnJqfxicg4SAAAAkFPSBqSbbrop6fv//M//\ntL/+yU9+4syK+lhbKL4HqYuDYiXn9iFFOQcJAAAAyClpA1LHD+67d+/u8mf5qi2+B6l/WuyiSf8C\nAAAA6F9pA5LHSghxiUGh48/yVf+22MnR1wcAAADQMz0a0nCyhKJE6VrsZL9dhypIVosdm5AAAACA\nnOBL98MDBw5o3bp19vf19fVat26dotGo6uvrHV9cX7DHfKesIMU4kV8Sq3HkIwAAACA3pA1IZWVl\nCgQC9vdnn322/f3ZZ5/t7Mr6SNoWO8Nqsct+gjHNxIBEQgIAAAByQdqAVFVV1Vfr6DfWOUgpp9hZ\nXziQXxKrRifLwAsAAAAg36Xdg7R//37dc8899vcrVqzQZz/7WV1++eX6+9//7vTa+kQwlKaCFN9z\n5UR8SWqxo8cOAAAAyAlpA9Idd9yh8ePHS5LeeustrVu3TtXV1Vq4cOFJU12yWuxSjfm2ON1iRwEJ\nAAAAyA1pA9LRo0d19dVXS5JefPFFVVZW6tRTT9W//Mu/qLW1tU8W6LR0LXaGx7kx32aUPUgAAABA\nrkkbkPx+v/31li1bdO6559rfm6bp3Kr6UPoWu9i/TsSX5D1IDlwAAAAAQI+lHdLg8Xi0c+dOHT16\nVLt27dKUKVMkSXV1dQoGg32yQKdl0mLnRIJJbNtjSAMAAACQG9IGpIULF+qmm27S4cOH9f3vf18D\nBw5Ua2urrrjiCi1durSv1uiotlBEhuGRz9v5EFyrguTEDAXGfAMAAAC5J21Aamtr09133y0pVk16\n/fXXJUnf+c53NGrUKOdX1wfaQhH5C7z2xLpE9hQ7J4Y0RBnSAAAAAOSatAFp7ty5+sQnPqHS0tJO\nAWL79u0655xzHF1cX2gLRlLuP5LaK0hOSAxFVJAAAACA3JA2ID3xxBN69tlnFQgENHXqVF1yySU6\n44wz+mptfaItFFFhigl2kuSRg1PsGPMNAAAA5Jy0AWnSpEmaNGmSwuGwNm3apJ///Of68MMPNXPm\nTF188cX66Ec/2lfrdExbMKLhQ/wpf2ZPsXO8xY6EBAAAAOSCtGO+LT6fTxdeeKF+8pOfaOHChVq/\nfr0uv/xyp9fWJ4LhiPwFqf8M9h4kB66bNKTBiSkQAAAAAHosbQXJsmfPHj3zzDN64YUX9LGPfUw3\n3XSTLrjgAqfX5rhoNBrbg1SY+s/gSXhe9q+d+msAAAAA/SdtQPrNb36jZ599VuFwWJdccokef/xx\nDR8+vK/W5rhgOHbYbVdDGmS32GX/2oktdgxpAAAAAHJD2oB0xx136NRTT1VJSYleeOEFbdiwIenn\na9ascXRxTguGrENiU7fYGZ6+GtJAQAIAAAByQdqA9D//8z99tY5+0RaMBSR/QRd/BquC5MAuJM5B\nAgAAAHJP2oB0MkypS6ctXkHydznmO86BAMM5SAAAAEDuyWiK3ckq2F1AirfYORFgolSQAAAAgJzj\n6oBktdgV+roa8+3ctSMmQxoAAACAXENAktKM+XZuSEOUg2IBAACAnJPROUi9cd9992nr1q2KRCL6\n1re+pTPPPFO33HKLotGoTjnlFN13330qKCjQ+vXrtWbNGnm9Xl1xxRWaPXu2wuGwlixZon379snr\n9aqqqkrjxo3L2trawtaQhq5a7GL/OjKkwaTFDgAAAMg1jgak1157Tbt379batWvV1NSkyy67TOee\ne66uvvpqzZw5UytWrFB1dbUuvfRSrVq1StXV1fL5fJo9e7YqKipUU1OjYcOG6YEHHlBtba2WL1+u\nFStWZG197VPs0hfSnKkgtX+dGJYAAAAA9B9HW+zOOeccPfjgg5KkoUOH6vjx43r99df1xS9+UZJ0\nwQUX6NVXX9X27dtVWlqqoqIi+f1+TZo0SYFAQJs3b9b06dMlSVOmTNHWrVuzur72FrvUFSTDsFrs\nsh9gIlSQAAAAgJzjaEAyDEMDBw6UJK1bt05f+MIX1NLSooKCAknSyJEjdeDAAR08eFDFxcX27xUX\nF6u+vl4NDQ324x6PR4ZhKBwOZ219wXA35yDFOb0HiSENAAAAQG5wfA+SJL300kuqrq7WI488ooqK\nCvvxriozXT1ummZG1wsEAhk97//ePSpJ+uCD9xQw93f6eUNDoyTpzTff1IE9BRm9Zqbeq2u1v25q\nOtztmjN9T+g/3KP8wz3LP9yz/MM9yz/cs/zEfcsexwPSH//4Rz388MN65JFHNHjwYBUVFSkYDKqw\nsFB1dXUaPXq0SkpKVF9fb/9OXV2dysrKVFJSooaGBk2YMMGuHPl83S+5vLw8o7W9c+htSYd1xqdO\n19mnl3T6+Wt/3y7tPqZPffrTOvUjQzN7wxny7aqX/qdBUqz9MN2aA4FAxu8J/YN7lH+4Z/mHe5Z/\nuGf5h3uWn7hvPZcuUDraYtfc3Kz7779fP/vZzzRkyBBJ0nnnnaeNGzdKkjZu3Kjzzz9fpaWl2rFj\nh5qbm3Xs2DFt27ZN5eXlmjp1qjZs2CBJqqmp0eTJk7O6vvYhDV2N+Y5zoAPOpMUOAAAAyDmOVpCe\nf/55NTU16bvf/a6i0ag8Ho/uvfde3XbbbXryySc1duxYXXbZZfJ6vVq0aJHmzZsnwzC0YMECDR48\nWJWVlaqtrdWcOXPk9/u1bNmyrK4vGIofFNvFFDtPfM63E/HF5BwkAAAAIOc4GpCuvPJKXXnllZ0e\nf/TRRzs9VlFRkbQ/SYoNeaiqqnJsfW2h9FPsrAqSEwEm8SXJRwAAAEBucLTFLtd122Jnj/nO/rUT\nzz6ixQ4AAADIDe4OSN212MX/daKClNxil/WXBwAAAHACXB2QQuHY2PACXxd/hnhCcmQPUmIFySQh\nAQAAALnA1QHJCiY+b1cVJKvFzuk9SAQkAAAAIBe4OiCFI7EKktfwpPy5x6ogOTzmm3wEAAAA5AZX\nB6RIvIJkdBmQUj+eDQxpAAAAAHKPqwOSaUblNTxdBiFnx3xzDhIAAACQa1wdkCKm2WV7ndR3LXbM\naAAAAAByg6sDUjgSldebLiA5eQ5S+9dUkAAAAIDc4OqAZJpRGUbXfwK7guTAoG+GNAAAAAC5x9UB\nKWKa8qWpIFmcCDDRKEMaAAAAgFzj7oAUiabdg2R4nDsHKXGKHS12AAAAQG5wdUAKd9NiJ7vFLvsS\nBzMk7kcCAAAA0H9cHZDMSPoWO4+DCYkx3wAAAEDucXVAipjpW+ysIQ1O7BFKbrHL+ssDAAAAOAGu\nDkjhSHdT7JyrICW12JGQAAAAgJzg6oBkZnpQrBNjvhnSAAAAAOQcVwekiBntZg9SjPNjvrP/+gAA\nAAB6zvUByZvJFDtHWuyoIAEAAAC5xt0BKWLKyOQcJCda7AhIAAAAQM5xbUAyzajMqORN02JncabF\nLmEt5CMAAAAgJ7g3IMUTii+TKXZOXJ8hDQAAAEDOcW1AisQDipHBkAZHzkFKHNJgZv3lAQAAAJwA\n9wakSCyVpB/z7eA5SH1QQQqGIo68LgAAAHCycm9AigcUnzddi13sXycCTNThg2K37jygK2/9nf73\nvUNZf20AAADgZOXegBSJt9hldFBs9jldQfq/vU2KmFHtP3Qs668NAAAAnKzcG5DMzFvsnAgwpsMH\nxTYebZPUHgQBAAAAdM+9ASkeHNIGpPi/Th4U6zU8ijqQkJqsgMQMcQAAACBj7g1IGexBkoMtdlbo\n8hoehypIrZIkkxF5AAAAQMZcHJBiwSHtHiQ512JnVY28XsOR1z9ZK0jb3j6gv+1u6O9lAAAA4CTl\n3oCUQYudYU+xc+D6iS12Dlyg8SQNSD95cpseenp7fy8DAAAAJylffy+gv0QSKjhdcnCMnZWJfF4j\n6y12wVBEx1pCkk6+IQ1HjodkpLtnAAAAQC+49pNmZlPsYv9GHUhI1phvq8Uvm1WkpuY2++vISbQH\nKRwxFQxFZEZOnvcEAACA3OLegNSDKXZOdKlZgcjn9WT9Gtb+Iyn5vKV8d7w1LMmZg3UBAAAAyc0B\nKYMWO4/HuU1I9vUNI36J7F2j8Uhrp+ucDI63xtsGT6L3BAAAgNzi4oAUa9PyZdRil31WIHK+xe7k\nCRN2Bekkek8AAADILY4HpJ07d2rGjBl6/PHHJUlLly7VxRdfrG984xv6xje+oU2bNkmS1q9fr9mz\nZ+urX/2q1q1bJ0kKh8NavHix5syZo7lz52rPnj1ZW5fVYmd4uw5Issd8Z+2yNmtrkBMtdo0JLXaR\nk2i/DhUkAAAAOM3RKXYtLS269957NXXq1KTHFy9erGnTpiU9b9WqVaqurpbP59Ps2bNVUVGhmpoa\nDRs2TA888IBqa2u1fPlyrVixIitr69jilkp7h50D5yBFO7TYZfFD/0nbYtcWqyCdTO8JAAAAucXR\nCpLf79fPf/5zjRo1Ku3ztm/frtLSUhUVFcnv92vSpEkKBALavHmzpk+fLkmaMmWKtm7dmrW1WZWV\n/joHyRo04LUrSM602J1M7WjH46PLT6b3BAAAgNziaEAyDEOFhYWdHn/sscd0zTXXaNGiRWpsbFRD\nQ4OKi4vtnxcXF6u+vj7pcY/HI8MwFA6Hs7K29iEN3bfYObELyUw4KFbKbghrPHKSBiQqSAAAAHBY\nnx8Ue+mll2r48OGaOHGiHn74Ya1cuVJlZWVJz+mqpc3M8EyfQCDQ7XPeef+4JGnvnj0KBJpSPuf9\n949Jkt77+/sKeBsyunamDh1qlCS1tMSuse0vf9HAwq7zaibvybK/4XD713UHevS7uWzX7iOSYqHv\njTfeaJ8ymCNOlr+zm3DP8g/3LP9wz/IP9yw/cd+yp88D0rnnnmt/feGFF+quu+7SrFmz9PLLL9uP\n19XVqaysTCUlJWpoaNCECRPsypHP1/2Sy8vLu33OUX0o1R7Sxz92qsrLP5byOYejH0p/btT48aeq\nvPzUbl+zJ17Y/pq0Z7+GDR0qHWhQaelZGlrUudomxf6Dz+Q9WVqrn9OAQq9agxEVjxyl8vKzs7Xs\nfvVm3VuSYiGpbFJ52vbIvtbTe4T+xz3LP9yz/MM9yz/cs/zEfeu5dIGyz8d833jjjXr77bclSVu2\nbNHpp5+u0tJS7dixQ83NzTp27Ji2bdum8vJyTZ06VRs2bJAk1dTUaPLkyVlbh9Wm5UvTYtdeoHCu\nxc7nze45SC1tYbW0RTRy2ABJ7ePM88HTL+/W/3v2b13+/Fh8D5KUeTURAAAA6AlHK0jbt2/X7bff\nrkOHDsnr9Wrt2rW68cYbtXTpUhUVFamoqEj33HOP/H6/Fi1apHnz5skwDC1YsECDBw9WZWWlamtr\nNWfOHPn9fi1btixra7MCkpFuil38X2fGfCefg5StIQ1N8RHfI4cN1N76Y3m1X6fmjQ/04YFmzbv4\nMymrQ9YeJCk2pr2gz+ufAAAAONk5+hHzrLPO0m9/+9tOj8+YMaPTYxUVFaqoqEh6zDAMVVVVObK2\nTKbYWSUkZ8Z8K+n62bqEFZBGDR8oSTIj+ROQwpGoTDOqI8faNGLIgE4/b2ltD0jZnPoHAAAAWPq8\nxS5XZDLFzh7z7cD1nWqxazwaOwOpvcUuf4KE1Q546HBryp8faw0lPDd/3hcAAADyBwEpbYtd9kdw\nW0wzecx3trbUWGcgjRwWqyDl0x6kcLzadehI6oB0vDW5xQ4AAADINvcGpEgG5yA5uAnJbrHzZreN\nzzoDaVQeVpDC8bbHQwnnOCU6nlBBosUOAAAATnBvQDK734NkTbFzImNYH/CzPaShvcXOqiDlT5CI\n2AGJChIAAAD6h4sDUnKLWyrWQaRRJ8Z8m1EZhkeGx5khDSOHxypI+TakQUodkKLRaFIFKZ9aBwEA\nAJA/3BuQ7Ba77sd8OzGlwYxGZXgSQlgWx3z7vB4NLfJLyq8KktVi15giIIXCph2gJFrsAAAA4Az3\nBqQetNg58VE8Go3K4/EktPFlr8Vu+GC/vEbstfOp0mK12B1MEZAS2+tizyUgAQAAIPvcG5Ai3bfY\nSc6dg+REi100GlXT0TYNHxprr/ManrypIEXMqL3XK9WY78T2OokKEgAAAJzh3oBkdt9iZ5+D5EiL\nneItdtb3vb/I8dawgmFTI4bE2usMw7DHiec6q3okxUaVdwx2HStI+fK+AAAAkF9cHJAyabFz7hyk\naDQqw5PdCpI1wW744FhAyqcKUjghIJlmVEeak0d9H+tQQaLFDgAAAE5wb0DKpMXOwSkNphnfg2Rk\nr43PmmA3IqHFLl8qLR2DXMd9SFYFyZvlseiJXtm6Rz95clve/M0AAACQfe4NSBm02Fn5yJlzkGJn\nINktdlm4SGM8INkVJK8nb4Y0JFaQpM6T7Kw9SEMGFUpypoL00pb39fstH2jXB41Zf20AAADkBxcH\npJ602Dk0pMGhFrsRQxNa7PKkFS0cjh+cG78dHc9CsipIQ4oKJDkzna+lLXaNP+/4R9ZfGwAAAPnB\nxQHJarFLU0FKN+Cul6LRqAyjPYRlo2XMbrEbEmuxMwwjb/YgWYGneNhASZ0n2R1vi1WQBg+MVZCc\naLFrD0j7s/7aAAAAyA/uDUj2QbFpKkhybr+LGT8HqX1SXvYC0vAh+TukYXTxIEkp9iC1xMLL4EHx\nCpIDlbGWeJVqb32zPqw7mvXXBwAAQO5zb0DqwUGxTpwUa0YVPyg2my12VgWpPSCZebMHKfYHOGVE\nrILUeCR5it3xeHXH3oPkQPBrCUbsr2mzAwAAcCf3BqRIBkMarOqOA9e3DorN5jlITUdbVVjg1UC/\nT5I1pCG/KkhDiwpVWODVoSMtST8/3hJvsYtXkLJd1YtGo2ppC+ujpwyWYXj0xv/WZfX1AQAAkB98\n/b2A/tK+B6n7Frv8OQepTcOH+O2qlNcw8mZIg3VQbIHX0MihAzoPaYhXkKw9SNl+X8GwKdOMqmTE\nQB1rDelwh3OYAAAA4A4uriB132KnLO4P6sgOSFk618c0ozrc3Ga310mS4cmnClJ7RW/EUL+ajrYl\nrd0aoFA0MJbps31WkbX/aOAAnwp8hkLh/GhNBAAAQHa5NyBlcA5SNqs7HZlmxz1IvbtIc0tI4Ug0\nOSDlYYudz/CoeOgAmVElVXFaWsMa6PfKF79fWQ9I8QA20O9TgZeABAAA4FauD0jpCkh2BcmBXUhm\nNLYHyZ5i18vP49YZSMPjI76l/BrSYLXM+XyGiofF3kPiqO/jbSEN9BfYFb9sn4OUFJCoIAEAALiW\newNSxJTXaK/gpGL/xJEKUlSGJ3vnIDV1mGAn5dmYb3uqoKHieMg7dLQ9ILW0hTXQ70sISA5WkHyG\nQhECEgAAgBu5NyCZ0fT7j5TdQ1w7ikaTp9j19hIdR3xLsbARjWa/Hc0J4XjFxuf1pKwgtbSGNXCA\nr33PlqMByUsFCQAAwKXcHZDS7D+SEs5BckD7QbHZqiBZLXbJFaRsvHZfSBy7Xjw0HpDik+zCEVPB\nsKlBfp8MI3bPnKwg+byGTDOaN9U3AAAAZI9rA5KZSQXJwTHfZlRJLXa9HdLQ3mLXvgfJ8DrTjuYE\nq8XOlyIgJYYXp0JfxxY7qX1wBAAAANzDtQEpHDHl9XbXYhf715Ex3/GDYuMFkay12KWqIEXy4IN+\nUotdx4CUMILbsN+T8wGJNjsAAAD3cW1Aiu1B6ubtZ2l/UCpWi1229jk1xsPE8MEpWuzyooLU3mI3\naIBP/kJvpwrSoD4a0uCzA1Ikq9cAAABA7nN3QOqmgmSfg+TA9WMtdp6sVamamts00O/TAL/Pfszr\n0H4dJ1hVrgKvIY/Ho+IhA+zQd7y1Pbw4NaShtS35oFiJChIAAIAbuTcgxcd8Z8KJFjvTarGzK0i9\ne73Go21J7XWSHKu2OMHa72OF1uJhA9R0tE2RiNle3Rngc+wcpOMdDoqV2tv+AAAA4B7uDUgZjfmO\n/ZvtfGQFLiOhxa43ISxiRnWkuS1pxLeUMKQhy/t1nBC2DoqNh5PioQNkRmOVsfYWuwLH2gbtEFZI\nBQkAAMDN3BuQIpmM+bZa7LL7Ydz6cO/xxCbZSVK0F5/FjxxrkxlNnmAnybFqixOsFjtfPNSNGBoL\ne41H2nS8NSTJ2Ra7xEEQBT6vJAISAACAG7k2IJlm9y129k+zXICxPtvHDort/ZCGphQT7KT2PVR5\nMaQh4RwkSRqZMMkuucXO+XOQqCABAAC4l2sDUjijFjtnhjSYKVrsehOQGo9YZyB12IPkzZ8hDdYe\nJJ/R3mInSQcTApKTU+xag2EV+Az5vEZ7QIowxQ4AAMBtfN0/5eQUiXQ/5tveg5TlD+PRVC12vakg\nNcdHfHfZYpdHAclntdjFK0iHWxUMxYLKwAE+x6piLW1hDYxPAKSCBAAA4F6uDUimmclBsQ5XkBJb\n7HrxWbzLClIeHRRrhbjEIQ2S1Hi01Q5FA/0+O7RkvcWutXNAYoodAACA+7iyxc40ozKj6r6CFP83\n22O+7T1IHo+sJfTmGo1d7UHKpwpSPIxYoW7ksHiL3eHWlFPssj14IrGCZIW0UB4ESwAAAGSX4wFp\n586dmjFjhh5//HFJ0v79+zV37lxdffXVuvnmmxUKxSaUrV+/XrNnz9ZXv/pVrVu3TpIUDoe1ePFi\nzZkzR3PnztWePXuysiYrMHR7DpLV/paVq7aLpqog9eIiXQ1psEdiO3COU7bZLXbxcDLQ75O/0KtD\nR1rbD4od4MwUu2g0SosdAAAAJDkckFpaWnTvvfdq6tSp9mMPPvig5s6dq8cee0zjx49XdXW1Wlpa\ntGrVKq1evVpr1qzR6tWrdeTIET333HMaNmyYnnjiCV1//fVavnx5VtZlVR+6bbGL/5vtfJE45jsb\n5yBZe5C6HNKQB+cgdWyx83g8Kh46QI2JU+wKvY7sq2oLRWRGddIEpNrt+/TUS7v6exkAAAB5ydGA\n5Pf79fOf/1yjRo2yH9uyZYsuuOACSdIFF1ygV199Vdu3b1dpaamKiork9/s1adIkBQIBbd68WdOn\nT5ckTZkyRVu3bs3Kuky7gpThOUhZb7Frn2KXjSENwZApw/DY5/dYnDpU1Ql2i11CaC0eOkBNzW1q\nbgnKX+iV12vY9yyb76m1LT4EwgpI3vw+B+mZTbv1+Ib/zfp/twAAAG7gaEAyDEOFhYVJj7W0tKig\noECSNHLkSB04cEAHDx5UcXGx/Zzi4mLV19eroaHBftzj8cgwDIXD4V6vq/3Mne6GNPT6UilZH+6T\nx3yf+OuFI6Z8KdoF8+mg2LCZ3GInxQJSNCr9o+GYHV6c2FeVeAaSJPnyvIIUDJkyo/mx9wwAACDX\n9OsUu67+F+6uHjcz/KAfCATS/ry5JVYxOHy4Ke1zG47E9kcdqK/v9jV74vDx2AfyxsZDeu+9FknS\n++9/oMCAQ13+TrrrH20+Jina6Tn/+McRSdLOt99R5OiHvVy1sw4ebJQk7fjbXzWgMB5QWg5LklqD\nEQ0q9CgQCNh/u/qGg1m7J/9oDEqSjh4+pEAgoPf3xe7J39//QIFAU8avk83/RnrjSPMxSdLrbwRU\n6HPlHJaM5co9Q+a4Z/mHe5Z/uGf5ifuWPX0ekIqKihQMBlVYWKi6ujqNHj1aJSUlqq+vt59TV1en\nsrIylZSUqKGhQRMmTLArRz5f90suLy9P+/ODh1uk/+8fOmXkyLTP3VffLD1Xp1EjR6m8vCzDd5js\nL7sO6N29R3T5Bf9sP3bg0HHpmf0aNWqk/vmTY6Q/HdK4fxqn8vJPpnyNQCCQdp2FNTXyt7V2es77\nR3ZL29/UJz75SZV/+iMntP6+sn7rZkmtKi8v04DC2D1+/8hu/fntNyVJw4cVqby8XI1HWqVn9mvE\n8BHd3udMvfnuQUkHdOr4sSov/5R8Q+ulV17V6NFjVF4+MaPX6O4e9SXfxt9LCuszZ56lIYMKu32+\nW+XSPUNmuGf5h3uWf7hn+Yn71nPpAmWf/8/L5513njZu3ChJ2rhxo84//3yVlpZqx44dam5u1rFj\nx7Rt2zaVl5dr6tSp2rBhgySppqZGkydPzsoaIhm32Fl7kE78Wk+/vFu/eO5N1Te22I9Ze5A8CS12\nvblGJGLaAxkSWe8vL4Y0RFK12LUPnRg0oO9a7OwhDXk65jsYiq2bc5wAAAB6ztEK0vbt23X77bfr\n0IRg5yUAACAASURBVKFD8nq9Wrt2rR555BEtWbJETz75pMaOHavLLrtMXq9XixYt0rx582QYhhYs\nWKDBgwersrJStbW1mjNnjvx+v5YtW5aVdVn7Xbob8+2xx3yf+Idx60P27j2NOmXEwNjrxV/Oa2Rn\nSEM4Ek25B8nw5NGQBiu0JryP4vhZSFJ7eHFiX1VLaxcBKU8DhrXufF0/AABAf3I0IJ111ln67W9/\n2+nxRx99tNNjFRUVqqioSHrMMAxVVVVlfV1WRcXo7hykuN5Vd2K//M6HTTrvzLGSOlSQ7ElzvblG\nNxWkPBjSEImY8nnbK2pSbEiDpeOQhmy+pZagFZBi0+usaYD5GjDCkUj83/xcPwAAQH9y5Q5us8OZ\nO10xsjDm2/qQ+s6H7Zv97Sl2hic71zCj8qVoF3TizCCnhFOEvMSANGhAbPKh4UQFqYsWu3wNGFaL\nXb4GPAAAgP7kyoBkffDtrsVOdotd76+1+8MmOwS1V5Da2/jMXgSkLitIRv7sQUrVJjjQ79OAQq/9\ntdR+dlU2Q9/RY7EpdoP8sRBW4M3fFjvTjNp/m3zdQwUAANCfXBmQImZmLXaeLCQka29Nc0tI+w8e\nj72ctQcpS0MaYuGi8600HAgTTomYpn3+kMXj8dhVpM4tdtl7T+/siVX3Th0zVFJ+n4OUGIoY0gAA\nANBzrgxImbbYZau6Y9kdb7Ozru/J0pCGWAWp6xa7TM+P6k/hcNSuDiUaEQ9I9hS7+NvMVugzzaje\nfr9RY0YWafiQ2NS89iENkaxcoy+FQu1rpoIEAADQc64MSNaH60yn2PWugtT+IXXXh7HDUJNb7OIh\npjfXMKMpw177kIbcryCFTTPlPqqRHSpIHo9HXsOTtQrS3vpmHWsJacLHRtiPOdli99s/vqv7fvVG\nrwJxOolrzscKGAAAQH9zZUDKdA+S3f7Wq2tFNWKIXx6PtDveymV9ODY8vR/SEI1GZZrRbipIuR+Q\nYlPsOv/naI36tgKSFGuzy9Z72vn3Q5KkiacW2485Oea79q/79Me/7HVsAETimvN1yAQAAEB/cnTM\nd66y9yB1d1Bs/N9etb+ZpoYWFWrwoEL9354mRcxo+xQ7j6fXbXzWHqdUe5CcGGjglFA4qqKBnd/D\nJz86TJI0rmSw/ZjX8GRtit3O92NVvU99rD0geb2GDI8zAcnaF9QWMu1x4tmU2FZHBQkAAKDnXBmQ\n7D1IKUJFEnt/0IlfKxyJ7a35xEeH6cO6o9pX32y/nmH0fkiDtccpVQXJyKMx35EuWuymTRqn0tNO\nSRr5HQtIWaogvX9IAwq9OvUjQ5Ie9/m8juzhsUJLMBSRBhZk/fWDCXuQGNIAAADQc65ssUsXKhLZ\n7W+9aLILxw9APe2fhkuS3vmw0f5w7/H0/qylcJqBE14HzgxySjiSeh9V4iQ7S7Za7JpbQvqw7qhO\nHz+i05j0Ap/hSMAIxQ9xTQwyWX199iABAAD0iisDUjjDMd+W3lSQrL01dkD6oP08JMPwyBO/Ayf6\ngT9d2LMeM/PgHKSu9iCl4jWMrFSQdr3fqGhUmnDqiE4/K/AZjkyxC4dj627rg4DEHiQAAICec2VA\nsgJDqrHSiTxZGKAQjkTl9Rr6+Nhh8hoevbOnyd5vlDyk4YQuYX8Izuc9SNFo7HDT7ip6FiNLLXY7\n348PaEjYf2Qp8BkKORAsrdAVCjk1pCFhzDcVJAAAgB5zZUCyWs5S7XlJ5OnlHqT285Y8Kizw6tQx\nQ/Xe3sP2B9fYHqT4c0/wIhEr7KXag+TJjz1I6QZNpJKtFjtrgt2E8SkqSF5DYQcqSNa+JipIAAAA\nucmVASlsV5AyG/N9oqwPw1br2Gn/NFzBsKm/7zsSf331ekhD2Ey+RqJ8OQfJahP0+TJtset9Bck0\no9r1QaPGjirSsMH+Tj+Ptdg5PKTBAexBAgAA6B1XBiR7zHd3LXbxf098wlzyAAVrH9LbH8RGS2fj\nHKT2ClLn92LkyZCGTM+lsmTjoNgPDxzVsdZwyvY6KRbWnBzz7VRAChKQAAAAesWVAcnsYYvdiZ9R\nlDxA4Z/HWYMa2gNStq7hSxEu7INic3xIQ7hDkOxONlrsdv49dg+6CkgF3uwHpGg0alcVgw7tQUps\nC6TFDgAAoOdcGZCsClKmQxpOVMcBCqeOGapCn6GGw63261tVnt5WqVJVkLx5cg5SJE2bYCrZOCjW\n2n80McUEO0kq8HmTDvXNhogZte9z0IH9TRItdgAAAL3lyoBkVSy6G/Pd3mLXu/Y3a2+Nz2vo4x8d\nZv/cMNpb7E64gpSmGmaFpv4ISKYZ1R+27VFrW7jb51of5Hsyxa7XFaT3D2mg36fxHxma8ucF8XuW\nzcNiEwNLX7TYUUECAADoOVcGJKvFrtsP5NYUuxO8jhVeEvfWnBZvs5Mkw9P7SXmZVZD6/oPy9nfq\ndf9jAW348/vdPjeS5rDbVHo7pOHo8aD2HGjW6eOHd7nvyQ5IWazCJL5Wm2NjvqkgAQAA9IYrA1Km\nY6XtCXMnfIhr5w/+p41PCEhG74c0pNuD9P+zd97hcZTn2r9nthftqndZtiX3jjvGgA2YHkhCSS8k\nh5wvCSE5kJBwQvoBDieEECAhIZSEhE4CptkU497lbrmp97Yrbe8z3x8z7+xsn13JDb2/6+LClmdn\nZndnV+899/PcD3sWS+yGXQEAQJ/Nk3Fb6TkodJDIoFiO47HrSG/WQuBEu9h/VJu8/wiIun5jOSxW\n7uiciRQ76iBRKBQKhUKhZM+4FEj+oFD2pdOq0m7HjtZBiiQ6VfUyB4lhGEmE5VoypsRBGss+GqV4\nfCEAwNCIL+O2yYRkOkiJ3f6TA/jNs7uxYW9nVueWbkAs4XQ7SKdPINFBsRQKhUKhUCijYVwKJJ9f\nEEhGvTrDlqNTSOFIYvhAVWkeDDpBmMkHxY5+DlKyFLuz14Pk9YsCyZFZIEWFpHKBFOF4jIgu1cCw\nN6tzOyEm2E1LEdAACCl2QDSWeyyQi5fgaRIv1EGiUCgUCoVCGR3jUiB5xeAAgy69QJLES44KKZkz\nomIZTK4SXCSWwahDGiJpxAVxrs6KgySKUNuIP+O22ZfYCduRAAiHO6D4vCIcjxMddlSXmpFn1Kbc\n7nwNaaA9SBQKhUKhUCijY1wKJJ9SgST+P2d3J0mJHRAdGCsvscu9B4n0U6WegxQ5C3OQiIM04g5k\n7OPJpcQOiApdpyeo+Lw6+pzwBSJp+48AIeYbGFuRccZ7kKhAolAoFAqFQskaKpDSEBUvuR0nWYkd\nACyZWQ6GAapKzCA5Ebmn2KV2kIg7dTZS7EgPEgDYHOldpFAKIZkKIvx8OThIx0lAw8TU5XVA1EEa\n2xI7eYrd6Yr5lvUg0RI7CoVCoVAolKwZtwJJxTLSIjgVoy2xC6dwRubUF+P1B6/DrMlF0ZCG0TpI\nSecgnb0UO7lAyhTUEIkbqJsJ0lvl9ROBpNxBig6IzeQgna8hDdRBolAoFAqFQhkN41YgGXRqSZyk\nYrQOUiRNbw0p4Rr1HCQujYMkComz0YNExAuQWSCF4wbqZoLoKJ9UYqfcQWrpdkCvVaGmLC/tdkTU\nnjaBlOV+/YEw9jT2ZSzFDNMeJAqFQqFQKJRRMS4Fkj8QhiFjgl2U0fYHqdI4I6MNaUg304m0JZ0V\nB8kvc5AylNilm+WUjKiDJBzD5Q1JYjQT3kAYeSat1MeUCs05Ngfp/d3t+NXTu9BwfCDtdmS/Bp2K\nlthRKBQKhUKh5MC4FEjEQVICy4xFD1LqxfhoQxoiafp3GIaBimUUi4exxCsTSDaFJXZKY75JD5Lc\npXJ6lZXZhUIRKcI7Hedait2wU3DJGltt6Y8hnq9eq6YldhQKhUKhUCg5QAVSJjKU4aUjwiUPaZDD\njrLELlWfE0Elzgw607h9YZQWGgEAg0pL7LJMsSMldgDgVNiHFApz0GrSDwgGzkQPUnb7Jc/1VMdI\nxmOoVSw0GuogUSgUCoVCoeTCuBNIoXAE4QivWCAxGH35WzpnRAppyFHERHuQkgs5lerMC6RwhEMw\nFEF5oRFaNQtbhmGxkTTDbpPBJnGQHAr7kIJhLmM4B3D6BVK2KXaSQOoaSXuthELC89OoWOogUSgU\nCoVCoeTAuBNIZFGtWCAxDHIMsVNYYif8f9QOUoo+J5Zlz3hIA0mwMxk0KM43pO1B4nleWshnW2In\nd5CUJNnxPI9QOKLMQVKd3jlIoRwFkscXQq/Nk3K7UCQiCCQ1Sx0kCoVCoVAolBwYNwJp68FutPc6\nFc9AIgj6KFcHSUmJ3ehCGtL1IAGkxO7MLpSJCDXpBYE04ko+LPZYqx03/fhtHG4W+mqyL7GL9jk5\nFcxCCkd48DwU9SCRRL3waepBCmRbYidzy052DKc9hkbNQq1maYodhUKhUCgUSg6MC4EUiXD4v380\n4Ll3GiWBZMyixC73mO/MvTUMO7qQhkwiTAhpODsOktGgRpFVDyD5sNhjbXYEwxx2HukFoLzELuog\nRUWXw5PZQSIiTaMZuxK7w01DMYEUSo4PxA50VYLcLcskkLRqlVBiRx0kRXAcj/97fi827+8626dC\noVAoFArlHGBcCCSVioVWzcLu8EcdJKUx3wwzavGSyt0BRh/SQPqL0jlIubpTuUIivomDBCSfhTTs\nEkRT9Dlk5yDJcShwkIjY0arHJqShpduBe/+0DW9tacm4PyB2RlEwFMnquvKKwSIqlkkb1BAMcVCL\nJXYcx5+VgI7zDYc7gM0HurFxHxVIFAqFQqFQxolAAgCLWQeHJ5B1iR2bewtSxv4gQBbScJocJFbF\nnvFFMnFUjHKBlMRBItHVBOUOUvS5mkShq8RBIslx2TlIqZ2eniE3AKDf7s24PyAawa3VqMDz2ZXv\n+cT5TZMqLWjudqQUbmGxB4mUCA6N+PCF+97Dh7vbFR9rvEECM/yBsZt5RaFQKBQK5fxl3Agkq0kL\nhzsoCSS9NosepJxL7ETxkiY1bfRzkMgw2jQ9SGe8xI70IKlRbBUEUrJZSMRBIijtQZI/15ICIUpc\nScy3VGKXzRykNA6SXRR9LqUzmMR9mQ3CtZdN1LcvEIZRp0Z9TQHCEQ4dfc6Ux9CKKXaA4HK5vEGp\nz4uSCBFIvmA4w5YUCoVCoVDGAwrrzMaO3bt3484778SUKVPA8zymTZuGb37zm/jhD38InudRUlKC\nhx56CBqNBmvXrsXf//53qFQq3HzzzbjppptyPq7VrEM4wkmLWsVzkDD6FLvTWWKX0UFimDOeYkcc\nJJJiB6QvsSNkG9IAAEa9GiaDRlHMdzAcdXAyoRHL8NJFZdudwvk7PUEo+SiRfRn1GtidAQRDEZgM\nmoyP43lemt01ucoKQBA+ddX5MdtxHI9whIdGrZJE+YhYekjOlZJIUHKQqECiUCgUCoVyFgQSACxZ\nsgSPPvqo9Pef/OQn+PKXv4w1a9bgkUceweuvv44bbrgBf/zjH/H6669DrVbjpptuwpo1a2CxWHI6\nptWsBQApIllpDxLDjH4O0liX2PUOeXD/c7vxnZvnZezfEeYgndlmfSnmW6+RQhqGksxCsjsDKCs0\nYmjEhwjHp3TB4pFvp9OoYDVps3OQspmDlKYMzuaUO0jGzMcX90VEkdJZSMEwB44TZnfViQKpuduB\nK1LsXyNzkBynSSDtPdYPpyeI1YtqxnS/ZwPi5FGBRKFQKBQKBThLJXbx5WS7d+/GqlWrAACrVq3C\n9u3bcfDgQcydOxcmkwk6nQ4XXHAB9u3bl/MxrSYdAKDPJvSLZDUHKUcyRXAT2CzL+E51DqOt14nG\nFnvGWUtCzPeZDmkQkwINalhMWmjVbEIPUiAUgccXQkWRCfU1ghOSrhRRjlwgaTUqWM06OL3BjE4Z\nWQgrcZBIyiERe8kYjnGQMkNK7Ex6jXg+ygSSTza7a2KFBSzLoKXbkXL/ZA4SAIy4RIGUZhZVtkQi\nHH73wj488drBMdvn2SRaYkd7kCgUCoVCoZwlgdTc3Ixvf/vb+OIXv4jt27fD7/dDoxEWjUVFRRgY\nGIDNZkNhYaH0mMLCQgwODuZ8TOIg9dsFBym7mO8cHSQuc8w3IIiwbMrgSLx1IBSR9SClifk+DQKJ\n53kcb7dj/c42SQgSvLIUO4ZhUJRvSCixIwv3AosOly+egKoSE0oLMrswQGyJnU6rgtWsBcfxcKcR\nM0B2DpLZKFwv6cSPXXKQQoocQFJiRxwkpT1I8mARrUaFCWV5aOlxJLyvZPisRs1K1xwpsXP7Qhkd\nq22HevCF+97FwHD60IlDTUNweYMIhiJpQyzOF+Qldrl+1ikUCoVCoXxyOOMldrW1tfjud7+Lq6++\nGp2dnfjKV76CcDha2pJqgZLNwqWhoSHhZ8NDgjDqFZPHWppPwmPL3P8RiUTg9fmS7jMT/f12AMDx\nY40Y6Er3UvNwud1pjyH/t1PNLgBAe2c3hpyCKDhy5BAM2sSFv8/nQzgcyen8kzHoCOFwmxeH270Y\ndgsLy6H+LkyvNkjbdPUKgQBNJxvR26GCjg2j1xXArt17Jaerc1BYuAe8IyjRAv9xRQEajyhzJHp7\nowEFLucwGAj73L5rH0qsqd/TE92CSBvo60VDgzvjcXQaBv1DjpSv3YAotjmORyDEZ3yNB4aE18Xr\nFmK6Dx9thGNAl/E8eocFkeZy2NHQ0ACrPoy2YAQfbNwV83xHPMLnyOkYQcgvXAtdvUPSv2/evheF\n5tTX4fpddri8Iby/aR9m1BhSbrd2V3QO045dDTDpMzty5yoNDQ043iYIwgjHY/eeBsVpipSzw1h9\nl1HOHPQ9O/+g79n5CX3fxo4zLpDKyspw9dVXAwBqampQXFyMI0eOIBgMQqvVor+/H2VlZSgtLY1x\njPr7+7FgwQJFx1i4cGHCz3hjP97YuRPkhveiBXNRWpjZsVC/MQC9Xpt0n5nYeKIBgBfz5s1J646o\nXumB0WhMeYyGhoaYf2uynwDgQEFhMQK8F4AfCy9YkLRs8OXtW9Brt+d0/nJ2N/bhn+uOS6Vdeq0K\n9TX5aOocQX5RJRYunCxt++892wD4sHzpImjULDadaEDbQBcm1s9EmfiaBw/3ABjEjCkTsXBhXVbn\n0u5sAg4eBQBUVZTBoFNjX/Mp1EycglmTi1I+zq/pATbZMGnihJjzTUX+OjsiES7pa+cPhBF4ITo3\nxxvgcNHyxWn39/b+nQD8mFhTgYamJkyaXI/5U0sznsfRFhuAAdROqMTChTPQ7WnGwdYj0OdXY+EF\n1dJ23YNu4M0+lJeVwGzQACeaEOa1AASBVVlTn/b1eXXnVgBeFJZWYeHCSUm3CUc4PPzGOunvU6fP\nQnmRKeNzOBchnyt7uB2AcDNjxqy5sJi0Z/fEKCmJ/y6knPvQ9+z8g75n5yf0fcuedILyjJfYvfXW\nW3j88ccBADabDTabDZ/5zGewbp2w6Fq/fj1WrlyJuXPn4siRI3C73fB4PNi/f/+o3vj4RY/SkAaW\nHU3Mt8ISO5ZBNlVwpOQqEIxk7kFSCfsebZLdC+uPo7XHgcUzy3D3Fxfi+V9cha9dOxNA4gwijz8s\nRE2LpWzJkuzs4gykgrzMDko8bHxIg1nYR6ZhsaQETatgDhIA5Jm0KUvs7HEJfF4FM3RIOZpRn3uJ\nHYCYJDs5pFRM/tqPyF6TZEEN+44PoE8MLukZFFy1+PlUcg6eGoTLGy1l9H0Cgg3kvWA0qIFCoVAo\nFMoZd5BWr16Nu+66C5///OfB8zx++ctfYvr06bjnnnvwyiuvoLKyEp/+9KehUqlw11134bbbbgPL\nsrjjjjtgNptzPi5ZRBMUhzSAOW0R3AQhpEH5QfzB7HqQACElj0XupUMjrgBKC4z42TeWST/LF1/T\nkThh4vWFYJTFVxdZEwUSifgutOizPpeYFDutGlZR/GYaFhuUhRgowWLUIhjm4A+GE+ZmERGhUbMI\nhTn4ApnFDkk1NIriXGmKnTykAYgKpOaukZjtSEiDWjYoVh4yES+QDp4cxM+f2oFFM8rwwy8txLDY\nFxYfvy5nb2M/AGDW5CIcbbHB6z//BUVAJlQ/CYKPQqFQKBTK6DjjAslkMuHJJ59M+PkzzzyT8LM1\na9ZgzZo1Y3Jcq8xBkjexZyRL8SIn6iClFyYMw4DPIok73kFimVhXRQ4RThGOhzrHVhGe5+FwB1BX\nFTt3J5Vz4/WHY+b7lIgOkk0W9U0ERoElewdJngqo06hgEc/DqdBB0ih8IYjr6PKEEgQSSYWrKctD\nS7cDXgUCKRSOQKNmpRQ9pSl23jgHyajXYHKlFUdbbBgY9krlmzEpdkmub3mSXSjM4cl/HwIAnGi3\no2fQI/0bCdBIRo/YyxcVSOmDMc4HgrKgCToslkKhUCgUyllJsTsb6HVq6LTCwlT5kFjR3cnxmNFB\nsQpS7LJykIRFXDAUQYTj0u6fCKf4pLls8PrDCEf4BBcuz6QFwwAOd3yJXQgmQ/Q1JrOQBpM4SAV5\n2TtILBOXYqfQQSJzgrQKHaQ8IpC8ifslM5AmVghzuZQJJC5WIKUZQisnvsQOAD518WREOB5rN7dI\nPwtLAkkV45IRgS53kNZubkbXgBssy8DlDWHfiQHp39I5SP12D/KMWhSL72m2DtLJjmE89Pxexe7Z\nmSAQpCV2gPAd8fO/7MC721vP9qlQKBQKhXJWGTcCCYi6SNkIJMFCyu14p63EThbzHY7waR0qqcRu\nFD1IxCEiUenyfecZtTEOkhD9zEl9NkC0B8kmczCGnX5oNSqp3CwbEgbFKuxBIj0/GgVzkAAgT4r6\nTtwvERu15dkLJJ3YA6V4DpK4aJdH01+8oBpFVj3W72yTBBxxQrSyEjsAqCg2xZzz0IgPL31wAhaT\nFjetngIA2LgvGjgxnMJB4jge/XYfyoqMMIjvrzdLQbFpfxe2HOjGyfbhzBvniJAqqFyAyd8Hn4Je\nsnOdCMejsdWW9qZIMBTBjsM9Md87Nocf+04M4OUPTo66Z5FCoVAolPOZ8SWQxIV0NgKJYQA+R4UU\n4XgwTOyCPvkxsgtpIA5SIBQBx/Ep+4+AaDnaaGYhjUgCKbEczmrWxQgTIoIsxqiYspi00KjZhJCG\ngjxdToN4Y0rsxDlIgAKBlMUcJACwGAUR4PIklpGRcjXiIPmCSnqQOKhVrFTil61AkgeLaNQsbri4\nDv5gRLrjn6rELt+sh9Wsld6bp9cegT8YwdeunYkLpgkpep39QnS8xaTFsDOQVLDbnX6EIxzKC42S\nsPXJSuxIKWY6SE9UpplVo+Gdba344s/eSxpKkQy5mPKfgRK7jj7naRUgexv7cM/jW7HjSG/KbT5u\n6MT9z+1Bw/Goc+gR30u704/j7fbTdn4UCoVCoZzrUIGUAQbISrzICYe5tOKFwDJMbg6S2IOUzqEi\n5Whj4yAlE0hauLwhyS070izM3Zk2sUDahmEYFFujw2I5jseIO5BTQAMQV2KnUUGjVsGgUyeU+sUT\nCmVXYmcxib1NSUrsSBlabUUegGwdJEEgZXI53D7hdU1WYgcAVy6rhUmvxttbWhEQnTtA7LGTPUeT\nQY1Cix52px8HTg5g68EeTKstwGWLJ6Cuygqi39UqBlMnFCAc4WLCHQj9dmFeUFmhUXKz5CV2Hzd0\n4cu/WIc9jX0pnxPZb7L9jxUn2ocRCEaE2HMFjDbFLsLx+Me6Y9h9NPXzJhxuGsJ3/u9jbN7flXHb\nmGNEOPzkj1vx2CsHMoq4fnHQL5MmlIX0mcnLXuWidevBnqzOj0KhUCiUTxLjSiCRpnulEd+AEMGd\na4xdmOMUDZ1ksiyx88kcpEiEj3FU4pGHNOQKER7xJXbCzwQR4RL7fw6JAmlefUnMdkX5eoy4AwiF\nOTg9QXAcn1NAAxCb2EfEhtWsTVoKJ0fqQVJaYmcSHaRkPUgOPywmrZTkpyzmm/QgkRK71KLK5vDh\n9vs/wBOvHkxIsSMY9Rpcs2ISRtwBbNjbKcWIa2Qx3wBgMmhQaNHDFwjjidcOgmWA//zMXLAsA71O\njQlimWB5kUkqh0xWZtcvDsYtKzJJJZTyErudR3rB88Czbx9NWd7l8Qnbe05juANxjtxeZccIxqTY\nKS+xC4U58DyPP//rEF7+4CQef/WAdKMgFa29QjR7h+jYKaVnyIMjzTa8v6sdP3psixTNngzieJLr\nNxlEdMs/M/LXa9vBHlpmR6FQKJRxy7gSSLk6SLkuEyIRXlFaXtYldvIUuwwhDUQ8ZVq4pSOdgySP\n+uZ5HoebhmA1azGhPC9mu+J8A3he6D0iC9jCHAIagLg5SGLwhtWkg9MTTCs0g6HsSuyiPUixAonn\nedidfhRa9FCpWJgNGuUOkkolCbRQGgfpH+8dh8sbwrE2e0oHCQCuv2gyNGoW/97YJIUNaNSqmOuO\nCCQA6LN5cfWFk1BfHU0knFIj/Lmy2CzNpUoW1NBnE5wJeYkdSbHjOF5yDzv73diwtzPp8yLCSKmD\nxHE87n9ud1bBAXan4Iq4kwjbZORSYvfvjU34zD1v4Zv3f4j3drSBZRkMuwLYmaasDQCGRoTXVd6P\npwRSAllRbEJrjxPff2QT9h7rT7otET3EAU1GVCBFXyPynhh0Ktidfhxro2V2FAqFQhmfjCuBlC86\nIMZsQhqY0c1BUiKQsp+DJHeQOKjT9DhVlQizo5SU/6SC9CDlJyuxM0X7f3qHPLA5/JhdV5zQW1Qs\nzkIaHPFJpXbErciWZALJYtYiHOHhSZOqFpKlvClBSrGLE0gNxwfgC4SlgIY8k1bRHKRQmINazUgC\nKVWJXXPXCD7a2wEA6LN54PYJx9cnuW4LLHqsXlSD3iEPNh/oBpDoIJn1GhSKqXNWsxZfump6zD4k\ngVRiigqkJMNipRK7IqMk1kiJXVuvEy5vCAumlkCrZvHP9ceTPr9se5Bc3iB2HO7FNoUlXzzPS+LD\n5Q2B53nc9+R2/PXNIykfExvSoEwg7RdT/5zuAMqLjPj1t5YDAN7b3pb2cTbx2lfSH+ULhCVhavMY\nfwAAIABJREFURP5/+41zcOet8xEMRfCrp3fixfXHE5weInrih2PLIbPUYgSSKF4vXlANANh2iJbZ\nUSgUCmV8Mq4EErmjmrWDlGuJXYRLW/4mHYNV7iBxHB8dFBuMIBTm0zpIVy6rhVbN4s3NzTlHfTvT\nldjlkQS5IA42CQ7C3PrihO1ILLTN4cOg2CNRUpCbQIqfgwQIDpJwrqnL7MhCWHkPkuggyZwInufx\n/HvHwDDATZdNkbbzBri01wnP8whHOGjUKmilkIbE94PneTzz1lHwPFBVYkKE49HW64ROq0oZ9vHp\nS+vBMEBjq3DHP37Ol8mgwaQKYbjsbdfPhtkY+z4um12BOXXFWDm/Cvmiq5e8xM4LlgFK8uUhDYKg\nOCS+95curMb1KyfD5vDjna0tCfvItgeJCBalJXm+QFj6fLh9QfiDERw4NYh3trWkDJAI5CCQOvpd\nKLbq8dJvrsGT91yGufUlmFNXjENNQ5KYScaQQ7lAev69Y7jjtx+j3+5FR5+wzwllebh8SS0e+u5K\nlOQb8ML7J/DQ83tjrj1SEppnTC2Q0jlIF86phNmgoWV2FAqFQhm3jCuBlC8u5rPpQWJH5SClFy8E\nJouQhmAoEnM+/mA4bZ+T1azDZUsmYGDYh+2H0pf/pII4SMlKduQR24fFRfKcuiQCSXSLhkb8UmN4\nSb4xp/OJn4MknAdxslKXVUkOksIeJL1WDa2ajXGQdhzuRUu3AyvnVUkJdnlGLTg+/eI6LA4N1qhk\nPUjhRIdl19E+HGoawuKZZbhs8QQAgkuTzvWsKjFj2ewK6e/auDlIZqMGF86twHM/W4PVi2oSHl9g\n0eP+b6/A1AkFUl/YSNISOw+K8g2iQyUcwxsQFtXkvZ9dV4ybVk+ByaDBqx+dinGKOI6XSvKUCiTi\nUCndXl665vKGJFEUjvD4uCF5MEJsSEPmHiSPLwSbw4+asjyoVKz0Gb/6wokAgHU721I+lrindgUl\ndk2dI4hwPA6eGkRHvwt6rUr6HNXX5OORH1yKyZVWbDvUEyO4nJ4gDDp12lJScq26kggkq1mLZbMr\nTluZ3b7jA4oTBikUCoVCORuMK4E0t74Y11w4EasXJi4SU8IAuXYhRSIcNAocJJYBeIV3an1xPRKh\ncPoeJAC48ZI6MAzw5uZmRceIx+EOwGTQJF1wkRK7EXcAh5uHUGjRobrUnLBdERFIDh8Gh0dXYhc/\nBwmIijdHmqAGIpCUOkiAUD5H7rJHOB7/XH8cLAN8/spp0jaS05RmUC0JUFCnSbELhTk8+9ZRsCyD\nr183SyqPBDK7np9dVS/9WR3vIOk1YBgGRdbMr3dBCgcpGIrA7vSjrDAqao16Nbz+MCIcj6MtQygv\nMqK0wAizUYtbLpsCty+E1zeckrb3B8OSU6q0xE5ykBRuL194u7zBGNfog93tSW9EBEMR6dpW0oNE\nHCISbkFYNrsC+Xk6fLSnM+l+OC5a/uf2hTKmGPYMCSl8B08NonvQjeqyvJjyUotJiwXThDAU0h8G\nCNdhuvI6INrHKL9myXtiMmhw0fxKALmV2fmDYby4/rhUkinH5vDhF3/dgf/9+56s90uhUCgUypli\nXAkkrUaF//fZeagsSVzAp2JUMd+RzOIFyC6kgTTiy0nXgwQIzff11flo7h7JqVzQ4Q5K/VvxEAfp\nSLMNI64A5tSVJJ1tRHqQhkZ8GBzxgWUZFOaaYqfKzUEijo2SvjBCnlErlSxtPdCNjj4XVi2qQXVp\nNIRCmUCSzSiSQhpiS+ze296KniEPrlk+ETVleaiSCc1Mrue02kLMrisCILwm8Sl2SsmXepBi7/AP\nDHvB80B5oUn6mVGngdcfRnuvEx5/OMY5vPaiySi26rF2czNsYlkZSbAT/qzUQYo6TkquXblAcnuD\n0vXAMkBHnwsnOxIH1AZCnCT0U7mAvkAYa7c0o8/mQTspd4sLItGoWaxZWguPL4StYj+YHIc7EJMm\nGf8ay3H7QtK57zzci1CYw4SyvITtiGAlYoTnebiUCKRkPUjie2I2aDBvSknOZXavb2jCC++fwLod\nbQn/NjjiA88L5aBHW2xZ7ZdCoVAolDPFuBJIucCMIsYuHOGhVjQHSXmfU7IFnBIRVpxvQDjCw+kJ\nIhSO4B/vHcNAkju88XAcD6cnkDIRiyyoSSnOnCT9R4AgYNQqVuhBGvGhyKpXdN7JICV2LBMVO0So\npYv6DoWE0Aw2g6CUYzFp4fWHEQhF8ML641CxDD53xbSEbYRjpxZIJEVQo2KhYhmoVUxMaZfLG8SL\n75+ASa/G59YI+68oMoFoTSV9c3fcPB9fumo6JldaE3qQlKLTqGDSqxMcJHlAA8GgV8MXCKNXjJyu\nrbDE7OfzV05HMMzhxfdPAIjtI1LqIJESu0wljAR7ihK7i+ZXAQA+2N2R8JhAMAKDXiinTOb8nOwY\nxvd/txFPvXEET/7rUNRBSiJYrlxWC5YB3k0S1iCfOQSkT7Lrkc1wCoriuiapQBIEK3l/AsEIgmFO\nChhJBYln9wXCkrtJ3hODXgO1isXyOdmX2dmdfvx7U5P053jk4R+vydxFCuVMcbzdjqfeODyq0RcU\nCuWTDxVIGWAYBvwoSuyUhDSwrPI+p2Q9EkpmLZGYZ7vTj/0nB/HyhyczRhIDwsKd46NCKB6TXhMj\nOJIFNADisNh8PfrtXtgdPslRygUyB0mnVUlulcWkrAeJ9P8ohSw0125uRs+QB2uW1qK8yBSzDUl+\nS9dXQRwkMsDVqNfEiISX3j8Bty+EW6+YJok9rUaF0gJBkCgRSJUlZtx6xTSwLJOzgwQA+Xl6aZAo\ngSzAy+NK7HyBsCS0S+JKJi9bVIOaMjM+2N2Bzn5XjGuk2EGSiSJvmoRCgk3uIPlCUv/cJQuqUZxv\nwOb93QnDYIPhCHQaFfQ6dcwcpAjH49WPTuJHj21Bz5AHJoMGB04O4mir4HwkEyylBUYsmlGOU50j\naOociT030Ukjrk+664UIJHm5arxjBQDlomAlc5GUJNgBsQNxyWM8vhCMerVUwrpinlBmt/VgohuW\nihfWH5dc7mTPj/S2qVUM9h7rR0u3Q/G+KZSxYN2ONqzd0oKOPufZPhUKhXIOQwVSBpjc58QizGUz\nBym7HiR5FZsSJ6ZISpHzSwvaAgVziNLNQAIEcUfKk4rzDdKCLfk5GOBwC4Ir1wQ7IFpip9NERYMU\nFpHGQQqGI1KCnFIsYhLYyx+ehEbN4pbLpyZsQ3qpbHEOgRx5iR05X+J29Qy58c62VpQXGXHdRZNi\nHkfK7LJJXpQfBxBKprKhwKKDwxOIST0kPS5lcSV2QLQnJ/49ValYfPnqmeA4Hm9ubo4RRb5AWFGq\nos+fnagiDlJBng5ub1Ba/Ofn6XD54gnwBcLYKosM53kewVAEWlEgEQdpYNiL//7TNvz93WOwmnX4\n9beW45bLpiDC8WjqHEGRVZ9SeJKwhne3t4LneTz49z149KX90gykqRMKAKR3kLoHBcFz5bJa6WfJ\nHKuSAgMYJipgSeJiTgLJH4q5VkiZ3fZDysrsOvtd+GBXO6pLzTDq1UlLCInwvu6iyQCoi0Q585Dr\nPdkAcAqFQiFQgZQR5QlzcjiOB6dQILFZpNiRhY3ZEF0AKSnjIw6SzeGXQhKUiBSH+MvEmmbBRcTJ\n3PrE+Udy5A5DvNuQDaTETu4GkfNzpu1B4iQHRynEQQoEI7j6wolJgyWKZDOeUiEvsQOEkkOXN4Rw\nhMO+4wOIcDxuWj0lYUZTdUluAolcdyyT/WMtJi14PrYMrt8uLNjlJXYk6rtdvBObLJVw0YwyMAzQ\nM+hJKKvzKiiZk7tGSsry7E4/WJZBVakZXn9YEkxWsw6XLxFSAT/Y3S5tH45w4HnBrTNoVfAHwmjq\nHMH3Ht6Ioy02LJ9TgcfuXoX5U0ulMj0guVghLJhWitJCIzYf6MZHezqx7WAPPtrbgaYuwVEiAimt\ngyQGNCybXYE8oxZajQolBYmvr0atQpFFHxVIxEFKE/EdiXBS2Z78MR5fKEb0RcvsAlKZ3cmOYTz8\nzwZpKLCcv73TCI4HvnrtTBRZ9clL7ESBdPniCZhUacG2g93Sc6VQzgRRgaTMxaZQKOMTKpAywGbh\nINkcPimZKsIJCxBFc5AY5UEQ5A53fl50AaTkGPISu4Es5hBlcpCEfxPOJVV5HYG4WMKxc4v4BmQO\nkjYqJvQ6NbQaVfoUu1AkqwQ7IHonXqdV4abVU5JuIzlIaRyB+BI7MrfJ5QlKi8Zk4SGjdZBMBk1a\n0ZoMMj8nViB5oVWzUjmh/Jw6+lzQqNmkc7I0ahb5Zh2GHD4pcMGgE943t4IFilxEKZmFZHP6UZin\nk963bnHxbTVpUVZoxLwpxWhstaNrQHC9AmJQRrTELoz3d7fD4wvhP26YjZ98dbG0r9ICI2ZMLASQ\nmGAnR8UyuGpZLQLBCB5/9QAA4TuEBDdMnSAM5k0X9d0z6IZGzaK0wIg7bpmPO26el3IOVlmRCTaH\nD6Ewp6jEzhcX9OLyBhHheHj94QRX7KJ5gihcu6UZDz2/F3c9uhkb93Xhb+80xmx3tMWGXUf7MHNS\nIZbOKkdBnh4ub0jqbyIMiyV2BRY9bl49FRwP/OvjppTnSqGMNSTaXsn3D4VCGb9QgZQBMqPozoc3\n4k+vH0y5XTjC4VsPfoQ//+uQ+HdB8SguseOUDXElPRLy0AQlxyDixO4U5hCpVYyyEjtx8Z6fRiBV\nlpihVrGYN6Uk7b6Kx8pBYkmJXazbYjVrY3qQeJ6PceaEHqTsSuxIr9R1KyalfL0MOjX0Giatg5RY\nYheNRydlRwVJ+rzqqoQBr9m+XnKBlC2kzEpegtJn86KsyBgjtoiD5A9GUJJvSCnEivINsI34JMFF\n+qqUlMx5syix43kedocfhVa9JPK6B9zQaQXxAwBXLBFK1j4UwxoC4g0HnUYFg1aNcIRHa7cDDANc\nuXxiwnO6dGE1AKCu2pr2XK5YUgu1ikGE47FgqvC5CIY5sAwwWXxPUzlIPM+je9CDymITWJbB8jkV\nuDTNaIKyQiN4Hhgc9kqLv1ShKkDUhSa9i05PUCplNOljr5e5U4qRZ9Rg+6FebDnQjfpqKyZXWnG8\nfVjqe+J5Hs++dRQA8PXrZ4FhGOmGjDyUARAcJLWKgdmgwYXzKlFRbMJHezql/iwK5XRDvtfctMSO\nQqGkgQokBXj8YbT0OHDwVGJZCUHFMuA5Hi09QtMx6a9QEqBQWmCALxBRlCpHFjdywaLIQbISl8OH\nwWEviqwGRWluI6LgsKSI+QaAr107E3+469KMc41iBNIoepBIiZ1OG+uqWE1aON0B8DyPYZcft/73\nuzFRw8Ewl3Z4ZjKWzi7Hj7+6GF+8akba7SwmddpFXlgSSCSWXEzdcwejd9WTCLBptYV4+M6LcdXy\niVmdNxHNOQkk4iCJd1jd3iA8vlBM/xEQGz2e7v0stuoRDHPoHRIW1KWF2Qgk5dHgpGSx0KKXRJ4/\nGIkpD10+pwJmgwYf7e1EhOMRFB0koQdJeG+aux0oLzQlCHAAuGrZRPzq9uW4eEF12nPJz9Nh9aIJ\nMBk0+N6tC1ArBiwUWPTQa9WwmrWwOxOvF4c7ALvTD18grHgcAQnO6LN7JQcpz5T6fSdpgKQk0ukJ\nxsxAkqNWsfj8mum4YFop7vvGUvzu+5fg+pVC/9CmfcLg3e2HenGiYxgr5lZiem2h9DwBwB43cHjY\nFUC+WQeWZaBiGXx21RSEIxze2JTbjLZcaGy1SeKOMr6IcLx0rdMeJAqFkg4qkDIgv4E85PCl7BVi\nGAZlRSapmT0UISV2mV9iEo19qCm1ACOQ+SXyciYlPUgmvRo6rUpIkXMGpLv46eB5HgdPDQJAzIDQ\neIx6TdJEr3jkyXWjcZCiIQ2xC1iLWYdgmIM/GEFHnwu+QBhHxFkrPM8jFI5kLZDUKhYr5lZmfJzF\noILXH45xPOSE4gSzPFRi2BWAVs1Kjkw8UycUZO18MQyDFfMqsWJuZVaPA4A8Y6yD1JckwQ6IhjQA\nyfuPCOR9J6lRZeK151ZQMufLQiARR6bQEnWQAOG6IGg1Klx6QTVGXAGc6vFLUet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Lb0OEadxBjP6xtOYe2WFmlMzlgwflYFY8D02gLcfNkUyeZORb2stnKsxUtlsVka0EkdpERiSuzM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\nU6cSHByMnZ0dS5cuZezYsepZn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = (10*prices['SPY'][:'2016-03-15'] - prices['ESH16'][:'2016-03-15'])**2\n", "X.plot()\n", "plt.title('MSE of SPY and ESH17')\n", "plt.xlabel('Date')\n", "plt.ylabel('MSE');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This indeed seems to corroborate the point that futures prices approach the spot at expiry. And this makes sense. If we are close to expiry, there should be little difference between the price of acquiring a commodity or asset now and the price at the expiry date." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Connection Between Spot and Futures Prices\n", "There are several ways to theoretically model futures prices, just as there are many models to model equity prices. A very basic model of futures prices and spot prices connects them through a parameter called the **cost of carry**. The cost of carry acts as a discount factor for futures prices, such that\n", "\n", "$$ F(t, T) = S(t)\\times (1 + c)^{T - t} $$\n", "\n", "where $F(t, T)$ is the futures price at time $t$ for maturity $T$, $S(t)$ is the spot price at time $t$, and $c$ is the cost of carry (here assumed to be constant). With continuous compounding, this relationship becomes:\n", "\n", "$$ F(t, T) = S(t)e^{c(T - t)} $$\n", "\n", "This is a naive representation of the relationship in that it relies on a constant rate as well as a few other factors. Depending on the underlying asset, the cost of carry may be composed of several different things. For example, for a physical commodity, it may incorporate storage costs and the convenience yield for immediate access through the spot market, while for some financial commodities it may only encompass the risk free rate.\n", "\n", "The cost of carry on futures can be thought of similarly to dividends on stocks. When considering futures prices of a single underlying through several different maturities, adjustments must be made to account for the cost of carry when switching to a new maturity.\n", "\n", "The further out we are from expiry, the more the cost of carry impacts the price. Here is a plot of the prices of contracts on light sweet crude for January, February, March, and April 2017 delivery. The further out the contract is from expiry, the higher the price." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "contracts = symbols(['CLF17', 'CLG17', 'CLH17', 'CLJ17'])\n", "prices = get_pricing(contracts, start_date='2016-11-01', end_date='2016-12-15', fields='price')\n", "prices.columns = map(lambda x: x.symbol, prices.columns)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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i/bB36NqIVJ8lLS0tLX116X6npaUFg0GWQRRCCCFuxIn0EhK2ZOPobM38JdFo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "prices.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contango and Backwardation\n", "Often in futures markets we expect the futures price to be above the spot price. In this case, we can infer that participants in the market are willing to pay a premium for avoiding storage costs and the like. We call the difference between the futures price and the spot price the basis. A higher futures price than spot price indicates a positive basis, a situation which we call contango. With our cost of carry model, a positive cost of carry indicates contango." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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l7X9ldbPqwWF3Ndg8INg7SA9fcbfmXH6brG5WVdZW6a5B09UpqMMlXb9DQISK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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A toy example to show Contango\n", "N = 100 # Days to expiry of futures contract\n", "cost_of_carry = 0.01\n", "spot_price = pd.Series(np.ones(N), name = \"Spot Price\")\n", "futures_price = pd.Series(np.ones(N), name = \"Futures Price\")\n", "spot_price[0] = 20\n", "futures_price[0] = spot_price[0]*np.exp(cost_of_carry*N)\n", "for n in range(1, N): \n", " spot_price[n] = spot_price[n-1]*(1 + np.random.normal(0, 0.05))\n", " futures_price[n] = spot_price[n]*np.exp(cost_of_carry*(N - n))\n", "\n", "spot_price.plot()\n", "futures_price.plot()\n", "plt.legend()\n", "plt.title('Contango')\n", "plt.xlabel('Time')\n", "plt.ylabel('Price');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Backwardation occurs when the spot price is above the futures price and we have a negative basis. What this means is that it is cheaper to buy something right now than it would be to lock down for the future. This equates to a negative cost of carry." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3OxNyyC+uPKsxRUQ6uqT0+p+Z914Xg7OjHcvXJlFbZ2rnqEREpCNRwmMF7q6O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ikt+dx9tedbms1G7oofR3KX5BZpU+yTJb/fdajsSOayP7C/+SgPJN1zyeNXHFyP+bCZUd2HktT1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\nviGpx9L5bOd8/Nx9e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A toy example to show Backwardation\n", "N = 100 # Days to expiry of futures contract\n", "cost_of_carry = -0.01\n", "spot_price = pd.Series(np.ones(N), name = \"Spot Price\")\n", "futures_price = pd.Series(np.ones(N), name = \"Futures Price\")\n", "spot_price[0] = 20\n", "futures_price[0] = spot_price[0]*np.exp(cost_of_carry*N)\n", "for n in range(1, N):\n", " spot_price[n] = spot_price[n-1]*(1 + np.random.normal(0, 0.05))\n", " futures_price[n] = spot_price[n]*np.exp(cost_of_carry*(N - n))\n", "\n", "spot_price.plot()\n", "futures_price.plot()\n", "plt.legend()\n", "plt.title('Backwardation')\n", "plt.xlabel('Time')\n", "plt.ylabel('Price');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are valid cases for both of these situations existing naturally. For example, backwardation is common in underlyings that are perishable or have seasonal behavior. Both allow for situations to find profit. Many futures pass in and out of both regimes before expiry. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further Reading\n", "Futures are dynamic assets with many moving components to model. This lecture has been an introduction to the core concepts within futures contracts themselves, but has avoided the specifics of designing trading algorithms on futures. We will cover these considerations in more depth as we develop more lectures on this asset.\n", "\n", "For further reading on futures, see:\n", "\n", "* https://www.quantopian.com/posts/futures-data-now-available-in-research\n", "* https://en.wikipedia.org/wiki/Futures_contract\n", "* http://www.investopedia.com/terms/f/futurescontract.asp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "* \"Options, Futures, and Other Derivatives\", by John Hull" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }