Financial Markets Options: Basic Concepts The Black and Scholes Model of Plain Vanilla European Options Session #18 Alejandro Reynoso

JSFHLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= In finance, an option is a contract which gives the buyer (the owner) the right, but not the obligation, to buy or sell an underlying asset or instrument at a specified strike price on or before a specified date. The seller has the corresponding obligation to fulfill the transaction \342\200\223 that is to sell or buy \342\200\223 if the buyer (owner) "exercises" the option. The buyer pays a premium to the seller for this right. An option which conveys to the owner the right to buy something at a specific price is referred to as a call; an option which conveys the right of the owner to sell something at a specific price is referred to as a put. Both are commonly traded, but for clarity, the call option is more frequently discussed. Options valuation is a topic of ongoing research in academic and practical finance. In basic terms, the value of an option is commonly decomposed into two parts: The first part is the intrinsic value, which is defined as the difference between the market value of the underlying and the strike price of the given option. The second part is the time value, which depends on a set of other factors which, through a multi-variable, non-linear interrelationship, reflect the discounted expected value of that difference at expiration. Although options valuation has been studied at least since the nineteenth century, the contemporary approach is based on the Black\342\200\223Scholes model which was first published in 1973. Options contracts have been known for many centuries, however both trading activity and academic interest increased when, as from 1973, options were issued with standardized terms and traded through a guaranteed clearing house at the Chicago Board Options Exchange. Today many options are created in a standardized form and traded through clearing houses on regulated options exchanges, while other over-the-counter options are written as bilateral, customized contracts between a single buyer and seller, one or both of which may be a dealer or market-maker. Options are part of a larger class of financial instruments known as derivative products, or simply, derivatives. Every financial option is a contract between two counterparties with the terms of the option specified in a term sheet. Option contracts may be quite complicated; however, at minimum, they usually contain the following specifications: Whether the option holder has the right to buy (a call option) or the right to sell (a put option) The quantity and class of the underlying asset(s) (e.g., 100 shares of XYZ Co. B stock) The strike price, also known as the exercise price, which is the price at which the underlying transaction will occur upon exercise The expiration date, or expiry, which is the last date the option can be exercised The settlement terms, for instance whether the writer must deliver the actual asset on exercise, or may simply tender the equivalent cash amount The terms by which the option is quoted in the market to convert the quoted price into the actual premium \342\200\223 the total amount paid by the holder to the writer

JSFH Options can be classified in a few ways. According to the option rights Call option Put option According to the underlying assets Equity option Bond option Future option Index option Commodity option According to the trading markets Exchange-traded options (also called "listed options") are a class of exchange-traded derivatives. Exchange traded options have standardized contracts, and are settled through a clearing house with fulfillment guaranteed by the Options Clearing Corporation (OCC). Since the contracts are standardized, accurate pricing models are often available. Exchange-traded options include: Stock options, Bond options and other interest rate options Stock market index options or, simply, index options and Options on futures contracts Callable bull/bear contract Over-the-counter options (OTC options, also called "dealer options") Are traded between two private parties, and are not listed on an exchange. The terms of an OTC option are unrestricted and may be individually tailored to meet any business need. In general, at least one of the counterparties to an OTC option is a well-capitalized institution. Option types commonly traded over the counter include: interest rate options currency cross rate options, and options on swaps or swaptions. Other option types Another important class of options, particularly in the U.S., are employee stock options, which are awarded by a company to their employees as a form of incentive compensation. Other types of options exist in many financial contracts, for example real estate options are often used to assemble large parcels of land, and prepayment options are usually included in mortgage loans. However, many of the valuation and risk management principles apply across all financial options.

JSFH The value of an option can be estimated using a variety of quantitative techniques based on the concept of risk neutral pricing and using stochastic calculus. The most basic model is the Black\342\200\223Scholes model. More sophisticated models are used to model the volatility smile. These models are implemented using a variety of numerical techniques.[9] In general, standard option valuation models depend on the following factors: The current market price of the underlying security, the strike price of the option, particularly in relation to the current market price of the underlying (in the money vs. out of the money), the cost of holding a position in the underlying security, including interest and dividends, the time to expiration together with any restrictions on when exercise may occur, and an estimate of the future volatility of the underlying security's price over the life of the option. More advanced models can require additional factors, such as an estimate of how volatility changes over time and for various underlying price levels, or the dynamics of stochastic interest rates. The following are some of the principal valuation techniques used in practice to evaluate option contracts. Black\342\200\223Scholes Following early work by Louis Bachelier and later work by Robert C. Merton, Fischer Black and Myron Scholes made a major breakthrough by deriving a differential equation that must be satisfied by the price of any derivative dependent on a non-dividend-paying stock. By employing the technique of constructing a risk neutral portfolio that replicates the returns of holding an option, Black and Scholes produced a closed-form solution for a European option's theoretical price. At the same time, the model generates hedge parameters necessary for effective risk management of option holdings. While the ideas behind the Black\342\200\223Scholes model were ground-breaking and eventually led to Scholes and Merton receiving the Swedish Central Bank's associated Prize for Achievement in Economics (a.k.a., the Nobel Prize in Economics),the application of the model in actual options trading is clumsy because of the assumptions of continuous trading, constant volatility, and a constant interest rate. Nevertheless, the Black\342\200\223Scholes model is still one of the most important methods and foundations for the existing financial market in which the result is within the reasonable range. Stochastic volatility models Since the market crash of 1987, it has been observed that market implied volatility for options of lower strike prices are typically higher than for higher strike prices, suggesting that volatility is stochastic, varying both for time and for the price level of the underlying security. Stochastic volatility models have been developed including one developed by S.L. Heston. One principal advantage of the Heston model is that it can be solved in closed-form, while other stochastic volatility models require complex numerical methods.(See also: SABR Volatility Model)

JSFH Once a valuation model has been chosen, there are a number of different techniques used to take the mathematical models to implement the models. Analytic techniques In some cases, one can take the mathematical model and using analytical methods develop closed form solutions such as Black\342\200\223Scholes and the Black model. The resulting solutions are readily computable, as are their "Greeks". Although the Roll-Geske-Whaley model applies to an American call with one dividend, for other cases of American options, closed form solutions are not available; approximations here include Barone-Adesi and Whaley, Bjerksund and Stensland and others. Binomial tree pricing model Main article: Binomial options pricing model Closely following the derivation of Black and Scholes, John Cox, Stephen Ross and Mark Rubinstein developed the original version of the binomial options pricing model.It models the dynamics of the option's theoretical value for discrete time intervals over the option's life. The model starts with a binomial tree of discrete future possible underlying stock prices. By constructing a riskless portfolio of an option and stock (as in the Black\342\200\223Scholes model) a simple formula can be used to find the option price at each node in the tree. This value can approximate the theoretical value produced by Black Scholes, to the desired degree of precision. However, the binomial model is considered more accurate than Black\342\200\223Scholes because it is more flexible; e.g., discrete future dividend payments can be modeled correctly at the proper forward time steps, and American options can be modeled as well as European ones. Binomial models are widely used by professional option traders. The Trinomial tree is a similar model, allowing for an up, down or stable path; although considered more accurate, particularly when fewer time-steps are modelled, it is less commonly used as its implementation is more complex. Monte Carlo models. Main article: Monte Carlo methods for option pricing For many classes of options, traditional valuation techniques are intractable because of the complexity of the instrument. In these cases, a Monte Carlo approach may often be useful. Rather than attempt to solve the differential equations of motion that describe the option's value in relation to the underlying security's price, a Monte Carlo model uses simulation to generate random price paths of the underlying asset, each of which results in a payoff for the option. The average of these payoffs can be discounted to yield an expectation value for the option.[16] Note though, that despite its flexibility, using simulation for American styled options is somewhat more complex than for lattice based models. Finite difference models. Main article: Finite difference methods for option pricing The equations used to model the option are often expressed as partial differential equations (see for example Black\342\200\223Scholes equation). Once expressed in this form, a finite difference model can be derived, and the valuation obtained. A number of implementations of finite difference methods exist for option valuation, including: explicit finite difference, implicit finite difference and the Crank-Nicholson method. A trinomial tree option pricing model can be shown to be a simplified application of the explicit finite difference method. Although the finite difference approach is mathematically sophisticated, it is particularly useful where changes are assumed over time in model inputs \342\200\223 for example dividend yield, risk free rate, or volatility, or some combination of these \342\200\223 that are not tractable in closed form. Other models. Other numerical implementations which have been used to value options include finite element methods. Additionally, various short rate models have been developed for the valuation of interest rate derivatives, bond options and swaptions. These, similarly, allow for closed-form, lattice-based, and simulation-based modelling, with corresponding advantages and considerations.

JSFH The Black and Scholes model is refered to an European Option, that can be exercised only at a specific moment which is called expiration date or maturity date. The 1973 paper focuses on call options. This type of options are such that if the price of the underlying asset is above the strike price, the owner of the call will exercise it . Will pay the exercise price and will obtain the security. If in turn, the price of the security is below the exercise price, the holder will not exercise the option and will lose the premium paid for the option. We consider the following assumptions, The short term interest rate is known and constant trhough time. The stock price follows a randow walk in continuous time with a variance that is proportional to the sqare of the stock price. The stock pays no dividends or other distributions. There are no other transaction costs involved in buying or exercising the option. It is possible to borrow at the know short term interest rate any fraction of the price of a security to buy and hold it. There are no penalties for short selling In the same way in which we approached the Vasicek model of interest rates, We will consider that at any point in time it is possible to sellshort a number of options in such a way that we can have a portfolio fully immunized. Lets think that the price of the option is LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEid0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRInhGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInRGJ0YvRjJGQUZBLUYsNiNRIUYnRkE=. Then the number of options that must be sold short at any time is given by: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 where 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JSFH 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KiQtSSVkaWZmRyUqcHJvdGVjdGVkRzYkLUkid0c2IjYjSSJ4R0YpRishIiI=

JSFH There is the view that the hedged position requires that the ratio is adjusted continuously. However, it is laso claimed that if the changes in the prices are small, then the position can be hedged relying on diversification of a portfolio with similar structures. JSFH

JSFH Now that we have derived Ito's Lemma, we are in a position to derive the Black-Scholes equation. Suppose we wish to price a vanilla European contingent claim LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, on a time-varying asset LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5, which is set to mature at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= . We shall assume that S follows a geometric Brownian motion with mean growth rate of LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NTY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYyand volatility LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NjM7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy. In turn, will represent the continuously compounding risk free interest rate. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEickYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSIsRidGOUY7L0Y/RjFGQEZCRkRGRkZIRkovRk5RLDAuMzMzMzMzM2VtRidGNS1GLDYlUScmIzk1NjtGJy9GMEY9RjlGNS1GLDYlUScmIzk2MztGJ0ZYRjlGOQ== are not functions of time, t, or the asset price LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= and so are fixed for the duration of the option's lifetime. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Zio2JEkieEc2IkkidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiZJI211R0YlIiIiRiRGLEYlRiU2JEYrRis=

JSFH Since our option price, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, is a function of time LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEidEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5and the price of the asset LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5, we will use the notation 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 to represent the price of the option. Note that we are assuming at this stage that LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= exists and is well-defined. We will later show this to be a justified claim. The first step is to utilise Ito's Lemma on the function LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiQ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiVRIlNGJ0YvRjItSSNtb0dGJDYtUSIsRicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRkUvJSpzeW1tZXRyaWNHRkUvJShsYXJnZW9wR0ZFLyUubW92YWJsZWxpbWl0c0dGRS8lJ2FjY2VudEdGRS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnLUYsNiVRInRGJ0YvRjJGQUZBRkE= to give us a SDE: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCgtSSVldmFsRyUqcHJvdGVjdGVkRzYkLUklZGlmZkdGJTYkLUkiQ0c2IjYkJkkiVUc2Iy9JJ19sb2NhbEdGJUksX24yMjU2ODMxMzZHRiw2IyIiIkkidEdGLEY2PCMvRi4tSSNfWEc2JEYlSTNfU3RvY2hhc3RpY1Byb2Nlc3NHRiw2I0Y2RjUqKEkjbXVHRixGNUY5RjUtRiQ2JC1GKDYkRipGLkY3RjVGNSoqI0Y1IiIjRjUpSSZzaWdtYUdGLEZGRjUpRjlGRkY1LUYkNiQtRig2JEZCRi5GN0Y1RjU=

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KihJJnNpZ21hRzYiIiIiLUkjX1hHNiQlKnByb3RlY3RlZEdJM19TdG9jaGFzdGljUHJvY2Vzc0dGJDYjSSJ0R0YkRiUtSSVldmFsR0YpNiQtSSVkaWZmR0YpNiQtSSJDR0YkNiQmSSJVRzYjL0knX2xvY2FsR0YpSSxfbjIyMDk3MDM2OEdGJDYjRiVGLEY2PCMvRjZGJkYl

JSFH We can re-write this as the call option. 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 Now, we now that we can immunize this portfolio we include the short position on the call, as it was delineated by Black and Scholes in their original paper. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCgtSSVldmFsRyUqcHJvdGVjdGVkRzYkLUklZGlmZkdGJTYkLUkiQ0c2IjYkJkkiVUc2Iy9JJ19sb2NhbEdGJUksX24yMDQwMzAwNDhHRiw2IyIiIkkidEdGLEY2PCMvRi4tSSNfWEc2JEYlSTNfU3RvY2hhc3RpY1Byb2Nlc3NHRiw2I0Y2RjUqKEkjbXVHRixGNUY5RjUsJi1GJDYkLUYoNiRGKkYuRjdGNUkmZGVsdGFHRixGNUY1RjUqKiNGNSIiI0Y1KUkmc2lnbWFHRixGSEY1KUY5RkhGNS1GJDYkLUYoNiRGQ0YuRjdGNUY1

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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCgtSSVldmFsRyUqcHJvdGVjdGVkRzYkLUklZGlmZkdGJTYkLUkiQ0c2IjYkJkkiVUc2Iy9JJ19sb2NhbEdGJUksX24yMDQwMzAwNDhHRiw2IyIiIkkidEdGLEY2PCMvRi4tSSNfWEc2JEYlSTNfU3RvY2hhc3RpY1Byb2Nlc3NHRiw2I0Y2RjUqKEkjbXVHRixGNUY5RjUsJi1GJDYkLUYoNiRGKkYuRjdGNUZBISIiRjVGNSoqI0Y1IiIjRjUpSSZzaWdtYUdGLEZIRjUpRjlGSEY1LUYkNiQtRig2JEZDRi5GN0Y1RjU=

JSFH Now, we proceed to find a general solution to this PDE. Step 1. Write the Partial differential equationLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictSSdtc3BhY2VHRiQ2Ji8lJ2hlaWdodEdRJjAuMGV4RicvJSZ3aWR0aEdRJjAuMGVtRicvJSZkZXB0aEdGNC8lKmxpbmVicmVha0dRKG5ld2xpbmVGJy1GMDYmRjJGNUY4L0Y7USVhdXRvRidGKy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHRkMvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYn 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LywqLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIkNHNiI2JEkiU0dGKkkidEdGKkYtIiIiKihJInJHRipGLkYsRi4tRiU2JEYoRixGLkYuKiojRi4iIiNGLilJJnNpZ21hR0YqRjVGLilGLEY1Ri4tRiU2JEYxRixGLkYuKiZGMEYuRihGLiEiIiIiIQ==

JSFH Step 2. Solve the PDE LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYuLUkjbWlHRiQ2JVEkc3lzRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEqJmNvbG9uZXE7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEmQlNwZGVGJ0YvRjItRjY2LVEiO0YnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJ0ZNLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRlcvJSZkZXB0aEdGZ24vJSpsaW5lYnJlYWtHUShuZXdsaW5lRictRiw2JVEnX3NvbEJTRidGL0YyRjUtRiw2JVEocGRzb2x2ZUYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzYkRitGOUY5RlIvJStleGVjdXRhYmxlR0Y9Rjk=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LywqLUklZGlmZkclKnByb3RlY3RlZEc2JC1JIkNHNiI2JEkiU0dGKkkidEdGKkYtIiIiKihJInJHRipGLkYsRi4tRiU2JEYoRixGLkYuKiojRi4iIiNGLilJJnNpZ21hR0YqRjVGLilGLEY1Ri4tRiU2JEYxRixGLkYuKiZGMEYuRihGLiEiIiIiIQ==

LUksUERFU29sU3RydWNHJSpwcm90ZWN0ZWRHNiQvLUkiQ0c2IjYkSSJTR0YpSSJ0R0YpKiYtSSRfRjFHRik2I0YrIiIiLUkkX0YyR0YpNiNGLEYxNyM8JC8tSSVkaWZmR0YkNiRGMkYsLCYqKCNGMSIiI0YxRjJGMSZJI19jRzYkRiRJKF9zeXNsaWJHRik2I0YxRjEhIiIqJkkickdGKUYxRjJGMUYxLy1GOTYkLUY5NiRGLkYrRissJioqKUYrRj5GREYuRjEpSSZzaWdtYUdGKUY+RkRGP0YxRjEqLEY+RjFGRkYxRkpGMUYrRkRGT0ZERkQ=

JSFH Step 3. Build the general solution 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Ly1JIkNHNiI2JEkiU0dGJUkidEdGJSwmKjBJJF9DM0dGJSIiIi1JJGV4cEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYjKiZGKEYsSSJyR0YlRixGLC1GLjYjLCQqKCNGLCIiI0YsRihGLCZJI19jR0YvNiNGLEYsISIiRixJJF9DMUdGJUYsKUYnRjlGLClGJyomRjRGLClJJnNpZ21hR0YlRjpGPkY+KUYnLCQqKEY5RixGQ0Y+KSwqKiQpRkQiIiVGLEYsKihGTEYsRjRGLEZDRixGPiooRkxGLEZDRixGO0YsRiwqJkZMRiwpRjRGOkYsRixGOUYsRixGLEYsKjBGK0YsRi1GLEY1RixJJF9DMkdGJUYsRkBGLClGJywkRkdGPkYsRkFGPkYs

JSFH print(); # input placeholder JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

Step 1. Define a Cummulative Distriburion using a Standard Normal distribution 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYjIiIiIiIjRisqJkYqRistSSRlcmZHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IywkKihGKkYrKUYsRipGK0YkRitGK0YrRitGJUYlRiU=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Step 2. Define a couple of parameters associated with the transversality conditions. 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 print(); # input placeholder LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

KiZJJnNpZ21hRzYiIiIiKSwmSSJUR0YkRiVJInRHRiQhIiIjRiUiIiNGJQ==

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Step 3. Define the Black Scholes Trial equation as BSE. 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 print(); # input placeholder LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Step 4. Substitute this result in the Partial differential Equation to test if it is satisfied. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LyIiIUYj

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Step 5. Check the Transversality Conditions. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIi

Thus, on T and if LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJLRidGL0YyRjk=, then the expresion that follows is: 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LCZJIlNHNiIiIiJJIktHRiQhIiI=

Now, if LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIjxGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJLRidGL0YyRjk= 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIh

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

JSFHJSFH JSFH PARAMETERS JSFH JSFH CALL OPTION VALUE JSFHJSFH JSFH JSFH max S restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider18','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider19','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider20','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider21','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider22','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'call'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Call Option (C(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot6=display(P)); end use; K restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider18','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider19','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider20','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider21','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider22','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'call'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Call Option (C(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot6=display(P)); end use; T restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider18','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider19','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider20','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider21','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider22','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'call'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Call Option (C(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot6=display(P)); end use; \317\203 restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider18','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider19','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider20','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider21','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider22','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'call'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Call Option (C(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot6=display(P)); end use; r restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider18','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider19','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider20','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider21','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider22','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'call'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Call Option (C(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot6=display(P)); end use; JSFH %!G6+-%'CURVESG6%7dw7$$"#5!""$""!!""7$$"1LmKl)[$o5!#:$""!!""7$$"2)RzeZ)=y7"!#;$""!!""7$$"2/17C1*p%>"!#;$""!!""7$$"1oNr-E-i7!#:$""!!""7$$"2%**)zf;E!H8!#;$""!!""7$$"2Y!4=Yq9"R"!#;$""!!""7$$"1OsW>'paX"!#:$""!!""7$$"2&oOt;@*>_"!#;$""!!""7$$"2#Qw_v7I)e"!#;$""!!""7$$"2Y*)ydR3ll"!#;$""!!""7$$"226AWE&e;<!#;$""!!""7$$"2QtY$*e<Uy"!#;$""!!""7$$"2uZ&4>w7_=!#;$""!!""7$$"2Y!4=;:d<>!#;$""!!""7$$"2%f=PW3+x>!#;$""!!""7$$"1$f=P1ow/#!#:$""!!""7$$"2&)pRzYKv5#!#;$""!!""7$$"2()yd:+pr<#!#;$""!!""7$$"2;LmK84)QA!#;$""!!""7$$"2)Hf=F"QkI#!#;$""!!""7$$"128EAp$3P#!#:$""!!""7$$"1E_/4..QC!#:$""!!""7$$"2/4=O"[t*\#!#;$""!!""7$$"1X*)yd9HmD!#:$""!!""7$$"1#Ryc5Daj#!#:$""!!""7$$"1&)pR\hg&p#!#:$""!!""7$$"2LjE`K.1w#!#;$"1E1])4#*3W%!#J7$$"28?S!o<vFG!#;$"1_7+(>%y")))!#J7$$"1v\**=MW$*G!#:$"2dP+"f_`kE!#J7$$"2uZ&4pM+dH!#;$"2l:DY-B-6"!#I7$$"28?S!ogdFI!#;$"1k1TCcM2Z!#H7$$"2d<Nqo))44$!#;$"2#H703lOD;!#H7$$"2W#['H>&peJ!#;$"1;jM/C['y&!#G7$$"2D^-0NZ+A$!#;$"1Y5H;CQW<!#F7$$"2$)f>RY@rG$!#;$"1J*=(\#*yTb!#F7$$"1'=Pu(HB]L!#:$"2l]qL.K7d"!#F7$$"2d4>Qp-iT$!#;$"2YF*[nyilW!#F7$$"2Qu[(\,q![$!#;$"21U%)H$z"))="!#E7$$"0(Rz3IA[N!#9$"1Q<Kv&fe<$!#D7$$"2OoOtabKh$!#;$"1;NVbzkoy!#D7$$"1sU&3rg(zO!#:$"03![%pui">!#B7$$"29?S!y^rXP!#;$"1%H#p](H)oW!#C7$$"1"4=O[?j!Q!#:$"1'4IP'3tS%*!#C7$$"2%yb6.5yvQ!#;$"1<#z$)R-0:#!#B7$$"2`**)z>t!z$R!#;$"1'z%QF*>3O%!#B7$$"0.17$p9/S!#9$"1ang"HR++*!#B7$$"1LlI"pYv1%!#:$"1`#>*=$QEv"!#A7$$"1Ga3xR%z8%!#:$"1K;(Q3Ujc$!#A7$$"2&)f>R&G!*)>%!#;$"1\([#\GQSk!#A7$$"2&f=PC<4oU!#;$"2w\%4q)ytA"!#A7$$"1;Kko)\6L%!#:$"21,Z7c)ze@!#A7$$"1jC\ob7+W!#:$"1^rgNhA3R!#@7$$"14=OK*R'fW!#:$"1Vr*oogkR'!#@7$$"1Y"He%)>u_%!#:$"2sP))ohaw4"!#@7$$"1./3'*=*Gf%!#:$"1;(=JOI="=!#?7$$"1E^-v6KeY!#:$"2w3++)oeKH!#@7$$"2vGd9v4Ns%!#;$"19K<"eH<l%!#?7$$"1&)oPlb8'y%!#:$"1c7Z%\$QEr!#?7$$"1>PuGd$Q&[!#:$"2^'fy6rP56!#?7$$"1$e;L*)e$=\!#:$"0vByO')om"!#=7$$"1W'Gd[mi)\!#:$"1kX'zugS^#!#>7$$"1OsW4#Rx/&!#:$"2maktUSdf$!#?7$$"1D\)p2yc6&!#:$"1sDNC-Lg_!#>7$$"1%e;Ln^2=&!#:$"12hufrylu!#>7$$"1nMpyomX_!#:$"2lR+1B>Y/"!#>7$$"1e:Ji5Z8`!#:$"2(o&3%zDUj9!#>7$$"1=Nq!>@fP&!#:$"275S'*fdD(>!#>7$$"18E_k'y)Ra!#:$"2um$RdXeZE!#>7$$"0)e<:`\5b!#9$"2NV+"fx/<O!#>7$$"1/293HVub!#:$"1f#ygdhRu%!#=7$$"1zb6t5#)Rc!#:$"1pl*fL&*Q>'!#=7$$"1mIh_">jq&!#:$"1V5#>#**\P!)!#=7$$"1X*)yFQWnd!#:$"2-<\*e>'>,"!#=7$$"103;_2gKe!#:$"2[))HP6b;G"!#=7$$"1X*)y(phs*e!#:$"2`m2flkbg"!#=7$$"1lFb5)Gk'f!#:$"1d#*[9EWB?!#<7$$"1"Gc7zlu-'!#:$"2=$Q`rt%=Y#!#=7$$"129G'z*)y4'!#:$"2C[w1">KfI!#=7$$"1%yc8.U9;'!#:$"2d:8FTBDp$!#=7$$"1./3YOKCi!#:$"13n+^dA;W!#<7$$"029GeT>H'!#9$"1M"p.ojEJ&!#<7$$"1,-/[I$)fj!#:$"0F'z_!ypM'!#;7$$"1tW*)GUg@k!#:$"1T"=!f'fUT(!#<7$$"1ya4zC?(['!#:$"1W0QYWi)o)!#<7$$"1,++g*>7b'!#:$"2ok15)o335!#<7$$"1nLn%e:1i'!#:$"2bGbYk;l<"!#<7$$"1_.2%4i1o'!#:$"2">]IQtkP8!#<7$$"2&yb6$pF'\n!#;$"21c$*)oX0T:!#<7$$"1(Hf=)*eW"o!#:$"11:R$[V2v"!#;7$$"1x_0rSmyo!#:$"2j">W9?`w>!#<7$$"1(RzeB?H%p!#:$"2XLf)G6#4A#!#<7$$"1nJjcuX3q!#:$"22F!Q57V*[#!#<7$$"1oNr7e#z2(!#:$"1xkS%4Vaz#!#;7$$"1<Lm#\@;9(!#:$"2cjGv$yT&4$!#<7$$"1V%)o2t\/s!#:$"2:(4^E8m4M!#<7$$"1Hd9>0rrs!#:$"1P;:vGKlP!#;7$$"1%e;LTx(Qt!#:$"2`/h`P[-9%!#<7$$"0%ycLR(*)R(!#9$"10.\SK[$\%!#;7$$"0#Qw_5Gqu!#9$"1,+,q,(=$\!#;7$$"2b3<MaZ*Hv!#;$"1sN3ct%[J&!#;7$$"1a181Ut*f(!#:$"1$Qp["*43y&!#;7$$"2vPv]")Qjm(!#;$"1Jd.:a&HC'!#;7$$"1%oOtz3es(!#:$"1=eaFcOpm!#;7$$"103;7!*o#z(!#:$"1^"G]j2P;(!#;7$$"17BY_D,gy!#:$"1)\,EG\jn(!#;7$$"1W'Gd6;q#z!#:$"1>>P=Cn+#)!#;7$$"1['Hf*p8*)z!#:$"1xK(HwB')p)!#;7$$"1")f>p&fM0)!#:$"1%G-B>![D#*!#;7$$"16C[m?)*>")!#:$"1XQ`qRh"y*!#;7$$"1"Qw_A"H'=)!#:$"2&HH<balM5!#;7$$"1Qw_X$)\a#)!#:$"2#\)pmg'y$4"!#;7$$"1b3<9_d9$)!#:$"2k\q&e2mY6!#;7$$"1za4Rv?#Q)!#:$"2Ww"R@/+27!#;7$$"1AU%)ov6]%)!#:$"2Yz#*>3&Qo7!#;7$$"0lHfYhb^)!#9$"2u#Q$pbH#G8!#;7$$"1/17%z!*\d)!#:$"2N'z^b$3JQ"!#;7$$"1PtY8!eck)!#:$"2)pj2Db'*[9!#;7$$"1U%)o<C_0()!#:$"1NMgg)=_]"!#:7$$"1LlI^*e^x)!#:$"1=D0yl8r:!#:7$$"1x],$3*zO))!#:$"2lb5$yZ()H;!#;7$$"1vY$p2GW!*)!#:$"2x&=/fqp%p"!#;7$$"1_+,so#)o*)!#:$"28x:,t^nv"!#;7$$"0(Rze--O!*!#9$"1W@vKM!=#=!#:7$$"1OoOjZs(4*!#:$"2'oXVi\y")=!#;7$$"0pPvS"Gk"*!#9$"2)RkMU`rY>!#;7$$"1OrUb]TL#*!#:$"2wZ#=)Q&Q9?!#;7$$"1Hd9*4'f$H*!#:$"2[[KtedM2#!#;7$$"1x`2vKfe$*!#:$"1x<([W4u8#!#:7$$"1X*)y<<uD%*!#:$"2.bDgACO?#!#;7$$"0sV(oLV"\*!#9$"28=83QG&oA!#;7$$"1@U%)=M*\b*!#:$"2FsDE5I9L#!#;7$$"1Y*)y<gcD'*!#:$"1)[p+kv8S#!#:7$$"0#RyO'y*)o*!#9$"2&R+P7fIkC!#;7$$"1oNrU^oc(*!#:$"2&y"G@rq:`#!#;7$$"1d7D+t.=)*!#:$"2X#e)eVzDf#!#;7$$"1U$oOT6^))*!#:$"2&f][a:LfE!#;7$$"1Jf=FHA[**!#:$"2l3f(zU=AF!#;7$$"1%ycVE>9+"!#9$"/uRXH#zy#!#87$$"2)[(\*4!py+"!#:$"0rk#4"GA&G!#97$$"2;FaeH@Y,"!#:$"1C#>J<!e>H!#:7$$"2Fa3(\X7@5!#:$"1ftx&[tW)H!#:7$$"2:Igg1vx-"!#:$"1%yRY:e30$!#:7$$"2Y*)yF^qV."!#:$"2t!e&ow6n6$!#;7$$"2NoOL/J//"!#:$"2$fE">QQs<$!#;7$$"1KkG&4xt/"!#9$"2L")[[tAmC$!#;7$$"1uZ&ps*e`5!#9$"21>KTu"p3L!#;7$$"2uZ&4)o8-1"!#:$"1z&RUyz[P$!#:7$$"2y_0Tm`l1"!#:$"1*z"y;!Q#QM!#:7$$"2rT$o#R$ft5!#:$"29=#\fnf3N!#;7$$"2U$oO!G*oz5!#:$"1@a`+x_pN!#:7$$"2/17u;3m3"!#:$"1p*3D+!pQO!#:7$$"1'>R=)R"H4"!#9$"2')))>4&zs,P!#;7$$"227C=b6)*4"!#:$"2v'HkL_oqP!#;7$$"2a06#))Hw06!#:$"10gx2j=IQ!#:7$$"1*yd&z4a76!#9$"1Hc#pa`z*Q!#:7$$"2Y"He%=)3>6!#:$"2t"Q*eW:M'R!#;7$$"1(QxC6Jc7"!#9$"13p&QHO)GS!#:7$$"1.17q*\@8"!#9$"14&RR*y,%4%!#:7$$"1jD^^DTQ6!#9$"1xScD"Qm:%!#:7$$"2jC\yc#=X6!#:$"1Du'RGLVA%!#:7$$"2G`1V)[j^6!#:$"1y"G&3D&))G%!#:7$$"1RxaVcUe6!#9$"1tbHzmvcV!#:7$$"1)f>f"Hdk6!#9$"2:s%QRoA=W!#;7$$"2oOtE!oOr6!#:$"121ziL;'[%!#:7$$"2F`1B;uy<"!#:$"2:I(y8^B^X!#;7$$"29AWGolV="!#:$"2N<G1!)[hh%!#;7$$"2-.175Y6>"!#:$"2&))**3#o^Ro%!#;7$$"2iAXS6"R(>"!#:$"02#[B3SYZ!#97$$"2d8F9'oy.7!#:$"1p)Q5Yd."[!#:7$$"2BY#\E&[3@"!#:$"2&G-bdL(4)[!#;7$$"1X*)y&GUs@"!#9$"20$*[OR5\%\!#;7$$"2BV'G-6yB7!#:$"1B#f14)H5]!#:7$$"1"=O-"4VI7!#9$"1%zA4y&zw]!#:7$$"2*oPvxLaO7!#:$"1">x=;?z8&!#:7$$"1b4>q!fIC"!#9$"1**\'y#o2._!#:7$$"1pPvk^_\7!#9$"0'>ejvtn_!#97$$"24:Ig(=Wc7!#:$"1@"[P\/pL&!#:7$$"2D]+TdXDE"!#:$"0[cGMTzR&!#97$$"2`,.Y(zep7!#:$"1Pb4C_Ooa!#:7$$"2Hb5")>VfF"!#:$"13Yfot">`&!#:7$$"2Z"Hef8B#G"!#:$"1$\5)4*)z%f&!#:7$$"2;GcK:$**)G"!#:$"1pU9#y;Cm&!#:7$$"2Z*)y(*H#y&H"!#:$"1m!\^>3.t&!#:7$$"2<KkyTf>I"!#:$"1'R6tLz?z&!#:7$$"2AU%)GC>&38!#:$"1_=$Rbxw&e!#:7$$"2X([(4*4#\J"!#:$"1s9<3]p@f!#:7$$"27@UMbg=K"!#:$"1'*=Z414"*f!#:7$$"2&4>Q/_'yK"!#:$"1#)QV-r8^g!#:7$$"2BV'Gk<wM8!#:$"1'p@ho-,7'!#:7$$"2U!3;$*[CT8!#:$"1yUAjR$\='!#:7$$"2AS!3-amZ8!#:$"0dbI/R"\i!#97$$"2U"Gc=54a8!#:$"1GJE+_R8j!#:7$$"1">Q1uW1O"!#9$"20!)>ZTK*yj!#;7$$"27BYid"fn8!#:$"2X'oVl2S[k!#;7$$"117CW6'RP"!#9$"1MvUTk47l!#:7$$"2(=PuD([-Q"!#:$"18HF`A(\d'!#:7$$"2tW*)o/qpQ"!#:$"2Xz!)>Y&=Um!#;7$$"2F`1jtwOR"!#:$"20H\RN_#4n!#;7$$"$S"!""$"1Es?*)\[sn!#:-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%FONTG6%%&TIMESG%'ItalicG"#7-%%VIEWG6$;$"#5!""$"$S"!""%(DEFAULTG-&%&_AXISG6#"""6'-%+_GRIDLINESG6$%(DEFAULTG-%)_VISIBLEG6#""$-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6'-%+_GRIDLINESG6$%(DEFAULTG-%)_VISIBLEG6#""(-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6'Q"S6"Q&value6"-%%FONTG6%%(DEFAULTG%'ItalicG"#7%+HORIZONTALG%)VERTICALG-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q@Price~of~a~Call~Option~(C(S,t))6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'italic6"-%-TRANSPARENCYG6#$""!!""-%%FONTG6%%&TIMESG%'ItalicG"#7-%%ROOTG6'-%)BOUNDS_XG6#$"$I%!""-%)BOUNDS_YG6#$"$S#!""-%-BOUNDS_WIDTHG6#$"%+f!""-%.BOUNDS_HEIGHTG6#$"%SZ!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6" JSFH

JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= PARAMETERS LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= PUT OPTION VALUE LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= max S restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider28','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider29','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider30','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider31','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider32','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'put'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Put Option (P(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot8=display(P)); end use; K restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider28','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider29','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider30','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider31','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider32','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'put'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Put Option (P(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot8=display(P)); end use; T restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider28','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider29','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider30','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider31','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider32','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'put'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Put Option (P(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot8=display(P)); end use; \317\203 restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider28','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider29','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider30','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider31','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider32','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'put'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Put Option (P(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot8=display(P)); end use; r restart; use DocumentTools, Finance, Statistics, plots in #################################################################################### # LOAD THE INFORMATION Do(a[1]=DocumentTools[GetProperty]('Slider28','value')):# Level of S Do(a[2]=DocumentTools[GetProperty]('Slider29','value')):# Level of K Do(a[3]=DocumentTools[GetProperty]('Slider30','value')): # Level of T Do(a[4]=DocumentTools[GetProperty]('Slider31','value')):# Level of sigma Do(a[5]=DocumentTools[GetProperty]('Slider32','value')):# Level of r #################################################################################### # THE BLACK SCHOLES SOLUTION C := unapply(BlackScholesPrice(S, K, T, sigma, r, 0., 'put'), S, K, T, sigma, r): #################################################################################### # THE BLACK SCHOLES SOLUTION #P:=plot3d(C(a[1],a[2],a[3], sigma, r), sigma = 1 .. a[4], r = 0.1e-1 .. a[5], P:=plot(C(s,a[2],a[3],a[4], a[5]), s=1..a[1], title = "Price of a Put Option (P(S,t))", font=[TIMES, Italic, 12], labels=["S", "value"], labeldirections=[horizontal,vertical], gridlines=true): Do(%Plot8=display(P)); end use; LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=6+-%'CURVESG6%7dw7$$"#5!""$"1#3)=1>$GW#!#:7$$"2iD^-0wD0"!#;$"0xtl&eD!R#!#97$$"28E_/>A$)4"!#;$"1axC=(4XM#!#:7$$"2)Qxa4&o(\6!#;$"1)Q?dSjIH#!#:7$$"117C[eb,7!#:$"2bm,p3w7C#!#;7$$"2*oPv]q4`7!#;$"2;'p!*Q\t*=#!#;7$$"2.3;KM#)3I"!#;$"2Ok&Qq(\>9#!#;7$$"2JkGdCh.N"!#;$"1spkf6Z#4#!#:7$$"2sV([(RK:S"!#;$"1$f#Hs1IT?!#:7$$"2yc8FWRDX"!#;$"2u1d&=]H!*>!#;7$$"2tX"Hek+0:!#;$"29LOT)3$y$>!#;7$$"2V&3<M%>7b"!#;$"2&Rbn6Ei"*=!#;7$$"2u[(\*HWKg"!#;$"2cHrJ?2'R=!#;7$$"1)f>Ry#[b;!#:$"1zW`LbQ(y"!#:7$$"2/3;KCCeq"!#;$"2RE'=E92P<!#;7$$"2jFb56R:v"!#;$"22'*))*HeR"p"!#;7$$"2Qw_0^)*e!=!#;$"2smLTv4rj"!#;7$$"2lIhA0[>&=!#;$"29/bzqa6f"!#;7$$"2Z"He;Y^0>!#;$"2FfPP4^x`"!#;7$$"2Fc7D5IH&>!#;$"2$R%3XsW0\"!#;7$$"2%Qw_0C&\+#!#;$"2v7[vMY)Q9!#;7$$"2`+,-%**[a?!#;$"2U?1gfP(*Q"!#;7$$"20-/3;xh5#!#;$"2%e-+_%f'Q8!#;7$$"2%3;Kk@k`@!#;$"1xaGhn$>H"!#:7$$"1tX"HeR[?#!#:$"2cM)HbMyT7!#;7$$"2;Ig?J>!eA!#;$"1Q(>v*\,!>"!#:7$$"2`18EU7VI#!#;$"167(plv_9"!#:7$$"2lD^-D5VN#!#;$"2n[L#*\dt4"!#;7$$"2CY#\)*G'fS#!#;$"148*)fFO[5!#:7$$"1U%)oP\\cC!#:$"17i(*f%35+"!#:7$$"1)f>RG(Q0D!#:$"1(zOut*3e&*!#;7$$"2BY#\)*QnfD!#;$"02?K(zCk!*!#:7$$"2Z!4=OGX3E!#;$"1xt$[*Q^G')!#;7$$"2d4>QwM0m#!#;$"1X>LiE\s")!#;7$$"1zd:J(Gxq#!#:$"1(Hu!*\-#ox!#;7$$"2`2:I?C$fF!#;$"1$Hq\(QoOt!#;7$$"2w_06_ry!G!#;$"1d8W*3@8%p!#;7$$"2)>RycuheG!#;$"1"Q#4GSwRl!#;7$$"2.6AW)3B3H!#;$"1hN]$GE$fh!#;7$$"1JhAX:<gH!#:$"1d`nI\[ud!#;7$$"1sV([d'>5I!#:$"1niu$e+tT&!#;7$$"2W#['HRa81$!#;$"1.Y#)R[3m]!#;7$$"2FY#\)f)37J!#;$"0;I)y.7KZ!#:7$$"2$3;Kk!3(eJ!#;$"09N'GN-QW!#:7$$"2%He;L#R@@$!#;$"2:<7em[h6%!#<7$$"2%)oPvqG*fK!#;$"1H,!p@b?%Q!#;7$$"2%pQxaA)3J$!#;$"1f!=e'e8kN!#;7$$"2`-05I^'fL!#;$"1\Ju#ez=J$!#;7$$"2D['HfI!QT$!#;$"1jO#o$RMZI!#;7$$"2b2:I]%pgM!#;$"00kn)pGJG!#:7$$"2lFb5r;R^$!#;$"1M6&*4mP+E!#;7$$"1(Rze(HUiN!#:$"2sT.lB`GS#!#<7$$"2MmKl?"[:O!#;$"1wtn&=%[+A!#;7$$"1h@V'[h7m$!#:$"28pTPw&*p.#!#<7$$"2`.29))*R8P!#;$"22zA')y')G'=!#<7$$"2Z#\)p*HwjP!#;$"29&o?g5W1<!#<7$$"2#*yd:@$49Q!#;$"2$3#H]>36c"!#<7$$"1f<Nq#QU'Q!#:$"2lMII2VnU"!#<7$$"2V$oOt>T7R!#;$"28o3jX&)pI"!#<7$$"1`06A!*[kR!#:$"17f*\-is="!#;7$$"1T"GcAAT,%!#:$"21Iz)*z_?3"!#<7$$"0)e<N)ej1%!#9$"1"3/yN^9!)*!#<7$$"1V'GdaXO6%!#:$"1bLyJLD_*)!#<7$$"1F`18i!f;%!#:$"1KU-$H<'*3)!#<7$$"1T"Gc#G'f@%!#:$"1mx,%*=@Lt!#<7$$"1v\**)f(*eE%!#:$"1b\12N3Um!#<7$$"1%e;Lma!=V!#:$"2C")\'Rd2$)f!#=7$$"204=OA$4mV!#;$"1y=s@u')Ga!#<7$$"16?S!G"H:W!#:$"2di,7;x)4\!#=7$$"1BX!4y6'pW!#:$"2W?8"y+i*Q%!#=7$$"1=OsWXz=X!#:$"0hK**='eiR!#;7$$"1He;LJ4pX!#:$"10]a(*eilN!#<7$$"005?]X-i%!#9$"1<w)4(Q#)*>$!#<7$$"2Nd9H[ksm%!#;$"2(*=&\"4TX*G!#=7$$"0&)pR>&Q<Z!#9$"1=VxM(o!*f#!#<7$$"1tX"HQCrw%!#:$"1*)RTxv%QL#!#<7$$"1d8Fa)H.#[!#:$"2DD:vy&Hy?!#=7$$"1Z%*)yP"Gn[!#:$"2jW;tnE[(=!#=7$$"1PsW*o`9#\!#:$"2:#)e(H#*Qj;!#=7$$"1.17C+Mq\!#:$"2#>$GD>"4#\"!#=7$$"1D\)p\5(=]!#:$"2dAZ3!z7R8!#=7$$"1hBZ%HC22&!#:$"2,c#**[0H">"!#=7$$"2DY#\)\[H7&!#;$"1wm8jIbe5!#<7$$"1'Gd9zk/<&!#:$"1C@\2xK,&*!#=7$$"1)f>R)\#4A&!#:$"0dJy&zQm%)!#<7$$"1,+++#p,F&!#:$"1v%e4>!*4c(!#=7$$"1W([(\/bB`!#:$"1H"\quvXo'!#=7$$"14=Os+up`!#:$"1Bg/#R`d+'!#=7$$"0$e;L0zAa!#9$"2X'Q]si)yI&!#>7$$"1#Qw_vgEZ&!#:$"1^rZ&e1Os%!#=7$$"1OrU&G\?_&!#:$"2W;rA-Pk?%!#>7$$"2NhAX5x9d&!#;$"1(\lHZ#)Qu$!#=7$$"29Gc7N!*=i&!#;$"1Po'\P'*HK$!#=7$$"2c?T#[vKvc!#;$"2bZ@2&G.FH!#>7$$"2'Gc7DUKCd!#;$"2w(y,+x^/E!#>7$$"1<MoO-psd!#:$"1aykY/<?B!#=7$$"1w^.2FRCe!#:$"1h#3zw^'\?!#=7$$"1T"Gci#)f(e!#:$"2t\]\Wl/"=!#>7$$"0.17k(GAf!#9$"2xL`9-R">;!#>7$$"1%yc8FRr(f!#:$"2knmsZhzT"!#>7$$"1'Hf=dOI-'!#:$"2)*H\$fEfo7!#>7$$"1-05?'=n2'!#:$"21!HF@dO86!#>7$$"1nLnMH&z7'!#:$"1'\u21Ql#)*!#>7$$"1sV([2*pth!#:$"1K1kIzZ(y)!#>7$$"0&)pRRX^A'!#9$"1yAB"*o^Zx!#>7$$"1<LmKF$pF'!#:$"1txfn%QI#o!#>7$$"0)e<NRZGj!#9$"16R*[.=4,'!#>7$$"1">QwAfiP'!#:$"13;wy(*QV`!#>7$$"1a2:I"QdU'!#:$"2ubgG8'=HZ!#?7$$"1Z&4>G4pZ'!#:$"21p&\Y@@nT!#?7$$"1zc8Fj"z_'!#:$"2a+\f&*>Fn$!#?7$$"1oNrULQ!e'!#:$"1=jgSz`CK!#>7$$"1lHf=jfEm!#:$"1)eA"\#>[(G!#>7$$"1)f>R=@'ym!#:$"2F_K11Me_#!#?7$$"14<Mo'f3t'!#:$"2`Dh#*RGw@#!#?7$$"1#>Qw7,7y'!#:$"2N(>#H)=$f&>!#?7$$"1(Qxa*f"p#o!#:$"1M<k51"\u"!#>7$$"1v[(\Rv7)o!#:$"2M=g")*\<B:!#?7$$"1<MoO\KFp!#:$"2k(R-(RgtN"!#?7$$"1E]+,:*3)p!#:$"2zMi+b"*o="!#?7$$"1tY$p)pIGq!#:$"0JCY$*GQ0"!#=7$$"2&[(\**GH.3(!#;$"1wS,fYH[#*!#?7$$"1:JiCo')Hr!#:$"1WgQyj7m")!#?7$$"1JhAXSb"=(!#:$"1)fU04?5<(!#?7$$"1>Pu[!>!Hs!#:$"1uaMJG$QO'!#?7$$"1%oOtY;-G(!#:$"1C1f+_C%f&!#?7$$"17C['>'RLt!#:$"1:VB!=AG*[!#?7$$"1x^.2$*ozt!#:$"1(e^()*z%RN%!#?7$$"1nLnMroHu!#:$"2OXqoUq"QQ!#@7$$"2Dd9HyR8[(!#;$"1w^it=>pL!#?7$$"1a06A=(=`(!#:$"2Ver=SEd'H!#@7$$"14<MoTw!e(!#:$"0Gs2F"G@E!#>7$$"1uX"Hy]]j(!#:$"2V0z_)yQ&G#!#@7$$"1:Ig?(HQo(!#:$"1nEvh`P??!#?7$$"117C[;"ft(!#:$"2b!y$3&**=r<!#@7$$"0*yd:c5$y(!#9$"1y>IV(**>d"!#?7$$"1&=Pu3,Z$y!#:$"2w3U!H<uz8!#@7$$"1Rw_0%[K)y!#:$"2`TvZfX.A"!#@7$$"1Jg?TV*R$z!#:$"2ZZ"HHeOt5!#@7$$"1@U%)oxg$)z!#:$"14K`TX)yY*!#@7$$"1T#['H%[b.)!#:$"1n\JiIL-$)!#@7$$"1%['HfMd&3)!#:$"1`V&))HHcJ(!#@7$$"1MpQx7tO")!#:$"1zvpe+yFk!#@7$$"1uX"H[lu=)!#:$"/0d-vy`c!#>7$$"1=Pu[\3M#)!#:$"1l:n0)p]-&!#@7$$"0%ze<h^(G)!#9$"0E2iHs+R%!#?7$$"/)f>f0`L)!#8$"1GHHW<\!*Q!#@7$$"0)f>R"fiQ)!#9$"2=Pf-yv.U$!#A7$$"1OrU&=G]V)!#:$"2$*y`?V&zBI!#A7$$"1$f=P%*z"*[)!#:$"1:Tj%3srj#!#@7$$"1'=PuQrg`)!#:$"1<=[aGjUB!#@7$$"1'Qxaf$H*e)!#:$"2$HP;@;1[?!#A7$$"13:Ig)*zP')!#:$"2ZZ$\D/07=!#A7$$"1tZ&44e3p)!#:$"2aVho)[*\e"!#A7$$"1tU&3PQmt)!#:$"2$3Ba<P979!#A7$$"1Y"Heww()y)!#:$"23?iv`)=Q7!#A7$$"1OqS"))R"R))!#:$"1e<t)o!f!4"!#@7$$"1**)zf4q%*)))!#:$"1n*Q`c)>2'*!#A7$$"1oQxa^hR*)!#:$"1<bs&))zvY)!#A7$$"1Y*)yd))y()*)!#:$"1[a%Q$oq+v!#A7$$"1lE`1f')R!*!#:$"10<1:!3(zl!#A7$$"1_-05"*\*3*!#:$"1*Q))3kox!e!#A7$$"0*zf>dtT"*!#9$"1%>X575L4&!#A7$$"1a2:IC-*=*!#:$"19_f#eXH_%!#A7$$"1Qu[(4$GT#*!#:$"03f#RO)o'R!#@7$$"1_-05(R8H*!#:$"1TsMy5v)\$!#A7$$"1'3<M[u7M*!#:$"1E"G9mRq3$!#A7$$"1$pQxaJMR*!#:$"1m4!>qm)3F!#A7$$"1,-/3,ZT%*!#:$"1J!))yTh=S#!#A7$$"1AT#[;o1\*!#:$"2i!\!>&>kB@!#B7$$"1LmKl'))\a*!#:$"2Mk(=+(4R&=!#B7$$"0tX"H9<%f*!#9$"2BS_E'p]R;!#B7$$"0%ze<+ZW'*!#9$"1=g(\w))fW"!#A7$$"1h@V'QAcp*!#:$"2OpMZw8FF"!#B7$$"1&oOtOTEu*!#:$"28W)yb4">8"!#B7$$"1h>Ry?w#z*!#:$"1dHJo5>!***!#B7$$"1&oOtE,D%)*!#:$"1:pJc?]E))!#B7$$"1oMpQnq&*)*!#:$"1NOQyY:Kx!#B7$$"1d:Ji#eE%**!#:$"1`u!y]I.)o!#B7$$"1[$pQdIo***!#:$"1aSb&evS,'!#B7$$"29Fa3prX+"!#:$"1B@^C&**oK&!#B7$$"2OqS"Q(3%45!#:$"2m%**[]ZtCZ!#C7$$"2uW*)y65Y,"!#:$"2lr%R#G!R`T!#C7$$"2tX"HQD$)>5!#:$"12!Ql$[k\O!#B7$$"2(RzenTeC5!#:$"0'o\Bs"\C$!#A7$$"1rT$o=I'H5!#9$"1WWj`(QW'G!#B7$$"16AW3YbM5!#9$"1_cI=0XOD!#B7$$"2b3<Mt#*)R5!#:$"1Fh@bHXBA!#B7$$"1#Rycp6X/"!#9$"2o2'pi4<%)>!#C7$$"1%ze<u;)\5!#9$"2cQ-zZ[6u"!#C7$$"2%\)pRw.[0"!#:$"2cT1&o?3S:!#C7$$"2[#\)phU(f5!#:$"2'y%eEn+SO"!#C7$$"2CZ%*))R&ok5!#:$"2F2g(=$o!37!#C7$$"2#RycBnsp5!#:$"21Bd+c)\n5!#C7$$"2<LmKWq]2"!#:$"1U:"QS=VO*!#C7$$"2Rxa46q*z5!#:$"1U%f"H5X0$)!#C7$$"2Gb5@r1[3"!#:$"1R#\*=[^yt!#C7$$"2)Gd9fp(**3"!#:$"1XDUC#HD]'!#C7$$"2^-05&f8&4"!#:$"1<qm0U%Gt&!#C7$$"$5"!""$"1Jo[v4R"4&!#C-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%FONTG6%%&TIMESG%'ItalicG"#7-%%VIEWG6$;$"#5!""$"$5"!""%(DEFAULTG-&%&_AXISG6#"""6'-%+_GRIDLINESG6$%(DEFAULTG-%)_VISIBLEG6#""$-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6'-%+_GRIDLINESG6$%(DEFAULTG-%)_VISIBLEG6#""(-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6'Q"S6"Q&value6"-%%FONTG6%%(DEFAULTG%'ItalicG"#7%+HORIZONTALG%)VERTICALG-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q?Price~of~a~Put~Option~(P(S,t))6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'italic6"-%-TRANSPARENCYG6#$""!!""-%%FONTG6%%&TIMESG%'ItalicG"#7-%%ROOTG6'-%)BOUNDS_XG6#$"$S&!""-%)BOUNDS_YG6#$"$S#!""-%-BOUNDS_WIDTHG6#$"%!z&!""-%.BOUNDS_HEIGHTG6#$"%SZ!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6" LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFHJSFH Step 1. Reset Maple and Load the neccesary packages. 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 JSFH Step 2. Interactive Plot of Call Option Price 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 -%'PLOT3DG6--%%GRIDG6%;$""&!"#$"""!"";$"""!"#$""&!"#7S7S$"1-BOiF2:s!#;$"1%)yx2juvu!#;$"1)4yGnx1u(!#;$"1z6;U!R(4!)!#;$"1<Bk"H)z#G)!#;$"1)pB'G%>(f&)!#;$"1'*REQIOS))!#;$"1;vNMneC"*!#;$"0\j<hXAT*!#:$"1nu(zp#>.(*!#;$"1_dS,%zs***!#;$"2MU*R&fN%H5!#;$"2Nb'f%=F%f5!#;$"2[6a]i(o*3"!#;$"1HdmV=??6!#:$"2f4$y;[&4:"!#;$"2Gt[&3;$>="!#;$"2#GD_2u687!#;$"2O%oYhv\W7!#;$"23Ys,hdgF"!#;$"1pbA;Ly28!#:$"2l"Qj$pg'R8!#;$"1*\ZU.w;P"!#:$"2mNH>$f"QS"!#;$"2X*QW/t1O9!#;$"2#oO08uTo9!#;$"2A4E)zQ&3]"!#;$"2-UpEqkL`"!#;$"2Y+J"o#Qfc"!#;$"2x:/?Oj&)f"!#;$"11A!y<H7j"!#:$"0apJKDRm"!#9$"2$4$4V#=k'p"!#;$"2`I;&G"p$H<!#;$"2u-6\5)4i<!#;$"2QNxM/?[z"!#;$"2nJ6DlEv#=!#;$"2%=Dfa+@g=!#;$"2.\#>"yiG*=!#;$"2`2Ogwxa#>!#;$"2XfKtL[!e>!#;$"2hH$**3#o0*>!#;$"1(H]4ZJI-#!#:$"22Q!pyDVb?!#;$"0-9@Mmx3#!#9$"1Ym#Q"z-?@!#:$"2a4lpx7A:#!#;$"1avlKnJ%=#!#:$"2$G.@()eL;A!#;7S$"1;0$et8rH(!#;$"1w&)z#)fBcv!#;$"1<<!>-Q&>y!#;$"1aIT.!)*o3)!#;$"1)[J_$**=e$)!#;$"1Cb3'3%GL')!#;$"1(HzaRZ?"*)!#;$"1<x3))QM%>*!#;$"1M!G.4N+[*!#;$"0=voW!)*o(*!#:$"1PU\tP515!#:$"2W7AuM1c."!#;$"29+YIL"Rl5!#;$"2N(e2^UW&4"!#;$"2A5x[h]d7"!#;$"2'QD"y'fHc6!#;$"1W3D>f1(="!#:$"2jX*4zh/=7!#;$"1A\t!fA#\7!#:$"2ac=A;"e!G"!#;$"2;r+d43@J"!#;$"2X;K\")*yV8!#;$"2#zs"3*Hhv8!#;$"2$p#e\ckvS"!#;$"2Ueb6xJ'R9!#;$"2k#R%[:-=Z"!#;$"2')zd/fjS]"!#;$"2W,MnH/k`"!#;$"2'f;(*\G")o:!#;$"2_0#G&>y7g"!#;$"1kE(el*yL;!#:$"2K;>/%pLm;!#;$"2=W*e[,"*)p"!#;$"2(R:zu(*\J<!#;$"23;D-r'4k<!#;$"2ecALC#p'z"!#;$"294q'e!y#H=!#;$"2b*e]Mi%='=!#;$"2Ky#*)Q#*Q%*=!#;$"2PSnY#***o#>!#;$"2)H&oK_r$f>!#;$"1%oZvj(z"*>!#:$"1P^mLA<C?!#:$"2bBt@j*[c?!#;$"19tQ)\W()3#!#:$"2<)>9K=$47#!#;$"2$4x-dp/`@!#;$"1/!*>4b3&=#!#:$"1"pTeUVq@#!#:7S$"1_d^E8Zzt!#;$"03#pq74Pw!#:$"1mVl-["))*y!#;$"1[EYTc_k")!#;$"1y&>`_.TV)!#;$"1">7=eCuq)!#;$"1sIx/<O%)*)!#;$"1UlsN\yk#*!#;$"1#o)*y%=c[&*!#;$"/6!3$zbN)*!#9$"2o.WtpjD,"!#;$"2-LEW9m=/"!#;$"2E#=g'G\92"!#;$"2WSz$=#*H,6!#;$"2&*>fC,-98"!#;$"2Es)oaPuh6!#;$"2;zuyd5B>"!#;$"2a#)>Vp)3B7!#;$"2<`jpUkSD"!#;$"2="Q-RUA&G"!#;$"2_-W?walJ"!#;$"2)RqEAG/[8!#;$"2"z+Flanz8!#;$"2w"y!)y*R9T"!#;$"2#>W#Q"RKV9!#;$"1j$3O5:`Z"!#:$"1vk2"o,u]"!#:$"2*=e=%4s&R:!#;$"2%\Q[>^"=d"!#;$"1V"=Q()>Tg"!#:$"1buBCeZO;!#:$"2x[Dhzs)o;!#;$"2wZ<'z4I,<!#;$"0zdV$4vL<!#9$"1.Qm#f8iw"!#:$"2iin6E!o)z"!#;$"2#4E,@E9J=!#;$"1-hoEFfj=!#:$"2xctN+Bg*=!#;$"1#*>KWiUG>!#:$"2@Z-Tg&zg>!#;$"2`9j[fCJ*>!#;$"21)RmyqSD?!#;$"10[=gsjd?!#:$"2)fp\y'4)*3#!#;$"2$[v=)>>>7#!#;$"2i/B***4'R:#!#;$"2aoO0dIf=#!#;$"113s#pBy@#!#:7S$"14.A"fF@Y(!#;$"1O6#[v"H=x!#;$"10\04^[yz!#;$"1KDKxlfU#)!#;$"1T#z'e7^5&)!#;$"19iJo26#y)!#;$"1,6\%ets0*!#;$"1X!*4+a(eL*!#;$"1rY3x%*y<'*!#;$"1Lu">+()G!**!#;$"2;oQSu.">5!#;$"1<?+*)3@[5!#:$"1.$[G%ofx5!#:$"2%\*QcC[s5"!#;$"2yu-Lq^r8"!#;$"1&)*e.#QHn6!#:$"2>_f;Bhw>"!#;$"28IGIjS#G7!#;$"2/J(o5)=!f7!#;$"2Y,p$pE)**G"!#;$"2&[m-f#>6K"!#;$"2cSl+!eT_8!#;$"2iBHqqfQQ"!#;$"2ss*o5'QaT"!#;$"2CC&\y.9Z9!#;$"0(*\L8`*y9!#9$"2<$Qqq_'3^"!#;$"2#>]%RZlGa"!#;$"1Av4GF%\d"!#:$"2(4f$=L'32;!#;$"2e7Ry!fGR;!#;$"2N"R^69`r;!#;$"2bgE"QJ"Qq"!#;$"2Pj*QG<7O<!#;$"2%Hebs"[%o<!#;$"2skzI"Qy+=!#;$"2k&)4fM?J$=!#;$"1)o#[?)\a'=!#:$"1j$)[QYw(*=!#:$"2-%p[^v0I>!#;$"2_%=Xd;Ki>!#;$"2=4@jR]X*>!#;$"2u>PYaPn-#!#;$"22Cd$4s()e?!#;$"1_T"4#Q'44#!#:$"1*o4c7#*H7#!#:$"223=u<d\:#!#;$"16xFHV&o=#!#:$"2t&e%RAz'=A!#;7S$"1U7K`e1Xv!#;$"1C'p&R%=)*z(!#;$"1w\;/w_e!)!#;$"1*Hp)Rr3@$)!#;$"1([Nj;(Q(e)!#;$"13xnVWJd))!#;$"1$['G#p_28*!#;$"1u#ys"He2%*!#;$"18U(ft$o(o*!#;$"1(z=oqJ4(**!#;$"2wb<e;?d-"!#;$"2lRZ:qOY0"!#;$"1VG_7+$Q3"!#:$"2^p]uD(G86!#;$"2x%*[/b&*H9"!#;$"292$o"*>%H<"!#;$"2h'=;(p8J?"!#;$"2Fp!eFy\L7!#;$"16)3hh"3k7!#:$"2.2F]R_[H"!#;$"2/$>8@wzD8!#;$"1f=$)**[!pN"!#:$"2mQsy+i")Q"!#;$"1`ij9pb>9!#:$"20Wv>!y2^9!#;$"2z)>a#38F["!#;$"22T%f;9X9:!#;$"26Pmss"GY:!#;$"1cNH9K>y:!#:$"2Kw.iOv,h"!#;$"2c"Q)4(z@U;!#;$"2V*\CD6Ju;!#;$"2kD;>CXkq"!#;$"2u\,l06'Q<!#;$"2WcV>j*zq<!#;$"2y_V@O-I!=!#;$"2**z)=u4@N=!#;$"2PP[$HvTn=!#;$"0=(*GU9'**=!#9$"1`\$GQ%zJ>!#:$"2d[nvY]R'>!#;$"2wI?E1wg*>!#;$"2X1ck([;G?!#;$"1$*yYN4@g?!#:$"2nE@#y&3A4#!#;$"2Ee;!\C:C@!#;$"2N9W3\Pg:#!#;$"1o>!y$*ey=#!#:$"2/OXqI7'>A!#;7S$"1%e%H%fq#Gw!#;$"12+(4j`;)y!#;$"1BRB"RA*Q")!#;$"1[3%*G_(**R)!#;$"171kqpqk')!#;$"1hgx/#4I$*)!#;$"1%[)*odqZ?*!#;$"1_ZY*3x)z%*!#;$"1w<y/C@e(*!#;$"2G[n\"e'R+"!#;$"1Ux/A%4C."!#:$"2<(pp3*R61"!#;$"1YIR4]9!4"!#:$"2$39!fP7%>6!#;$"1*yrlgH*[6!#:$"1*\E]F%oy6!#:$"2dbH"eRm37!#;$"285LJEc)Q7!#;$"2AI0R&)[#p7!#;$"2k,_hZH)*H"!#;$"2)oHb")feI8!#;$"2P&=u]j]h8!#;$"0lo]ryDR"!#9$"2oR"4x8zB9!#;$"1iOvHG8b9!#:$"2`*G@u<f'["!#;$"2%*p$HOr:=:!#;$"2Ai[:3=)\:!#;$"2cj<*GSc"e"!#;$"2;W&)Hm%Q8;!#;$"2uhV[%*p_k"!#;$"2d*>d@,@x;!#;$"2EdgVt&>4<!#;$"2`")*HDw@T<!#;$"2A?tG%pEt<!#;$"20L">Y^L0=!#;$"1()=,3STP=!#:$"2s<%f;c\p=!#;$"0%3WwBd,>!#9$"1sD)z+PO$>!#:$"/YEYDol>!#8$"2;s&pQBq(*>!#;$"1yD#>/!pH?!#:$"2(4H*yhR;1#!#;$"2aHs"H`a$4#!#;$"2&\"zNt,a7#!#;$"1sC?yO?d@!#:$"1*HmGHY*)=#!#:$"2D"Q5$)\i?A!#;7S$"1l!ofNF<r(!#;$"1@L%)G3yjz!#;$"1&Q=o*3l>#)!#;$"1<Q"3>S#z%)!#;$"1$f[Z&zWU()!#;$"1&)4j7.<4!*!#;$"1>eUT0Iz#*!#;$"1o_T[$HFb*!#;$"1P&p<:X$H)*!#;$"2(*30jV.4,"!#;$"2(y!Rq;o"R5!#;$"2/L5@.<x1"!#;$"2$HHDS#Ql4"!#;$"2vK%*>"*>c7"!#;$"2#*3Sq5]\:"!#;$"2p[X6&o^%="!#;$"2oTsB;3V@"!#;$"1)HOm27VC"!#:$"2A6aCn;XF"!#;$"1H="[45\I"!#:$"2ukw!y0[N8!#;$"23/()yY;iO"!#;$"1J8'>C1rR"!#:$"2-Jt(H&Q"G9!#;$"2vJ^58-$f9!#;$"2$4^1Lge!\"!#;$"2<esmUz>_"!#;$"10i5@<Z`:!#:$"1(\'[dD0&e"!#:$"2#Rr0@=r;;!#;$"2@WV@lR%[;!#;$"0aUeXE-o"!#9$"2#[+Y5H17<!#;$"2j,9Z(*RRu"!#;$"1ZCt$*)[ex"!#:$"1wf(Q?"y2=!#:$"1r=UO(G(R=!#:$"2Z!*\,i$or=!#;$"13V(GGQO!>!#:$"2;Up>X&eN>!#;$"2%G%RR:=v'>!#;$"2M(\38(H%**>!#;$"0J@$\PJJ?!#9$"238/_<kJ1#!#;$"1@-A#>v\4#!#:$"1L1S'GTn7#!#:$"2'[VJBsXe@!#;$"2w8+D/=,>#!#;$"2["QR^!><A#!#;7S$"1&)[J_EU&z(!#;$"1$4>#HY=Y!)!#;$"13mtkdp+$)!#;$"1uO&[qi)e&)!#;$"/oNV))e?))!#9$"0wT)oXx&3*!#:$"1'=]s^<VN*!#;$"1AcyGG6E'*!#;$"1()y03M0,**!#;$"2%R5j=I!z,"!#;$"27af%QK*f/"!#;$"1d#ywxkV2"!#:$"2C-J^H1I5"!#;$"2G7iqN1>8"!#;$"1(=EFY`5;"!#:$"29gm&pgV!>"!#;$"1r$pyhU+A"!#:$"2Ko/[bh)\7!#;$"2M%Rxd8))z7!#;$"2l>')pb!458!#;$"1**R>dxZS8!#:$"2MSD&e;.r8!#;$"2xSbj2T<S"!#;$"2k2n,'\fK9!#;$"2'R%f8T#ej9!#;$"2^Am**p#p%\"!#;$"24Vc-G:f_"!#;$"2;\%>0)Rsb"!#;$"1lYuRhl)e"!#:$"2Dj5IPa,i"!#;$"28y2#H[s^;!#;$"2ysru2eLo"!#;$"2CQ70%\/:<!#;$"2QUG@]wnu"!#;$"2tE-O6W&y<!#;$"2-M+!*RR."=!#;$"2#*)zSfU:U=!#;$"2iSKh(3)R(=!#;$"2Za5Hr6e!>!#;$"2#eB;<&Rw$>!#;$"2:TK.Kd%p>!#;$"2XVltVe7+#!#;$"2EQj`YOI.#!#;$"21<t9G&yk?!#;$"1Bb0S!*\'4#!#:$"14i=p@<G@!#:$"2mWTlO*zf@!#;$"2$)Q>Zfv8>#!#;$"2n]\g2'*GA#!#;7S$"1PSu*)QMzy!#;$"1%GXfj])G")!#;$"1T7vf2/#Q)!#;$"17+D!oC)Q')!#;$"1&=$o$p4"**))!#;$"1>e=--!G;*!#;$"1DD!y%zzH%*!#;$"1i,v]A++(*!#;$"1&y$*3D5L(**!#;$"2)[09:<'\-"!#;$"2'4%ejk")G0"!#;$"0(G=D+3"3"!#9$"2L(zxPfa46!#;$"21pmUPo#Q6!#;$"11Np_iBn6!#:$"2E[DEWQk>"!#;$"2-b1$)yjeA"!#;$"2_D%GJ6]b7!#;$"2U+LCLR`G"!#;$"2%>II$Hn`J"!#;$"21mHn(RdX8!#;$"2vMVmU[fP"!#;$"1Dj-(yzkS"!#:$"2'4$o*>t:P9!#;$"27CzFUqzY"!#;$"2D\BTk3*)\"!#;$"2$4f9*ph*H:!#;$"2)=ic$[>6c"!#;$"2FLCn3sBf"!#;$"2B([c.)4Pi"!#;$"2h.bb9B^l"!#;$"1;a`]Gg'o"!#:$"2jo3:*)R"=<!#;$"1$3wV[D(\<!#:$"1([OY4^8y"!#:$"2<FnIW3I"=!#;$"2iK5/^*oW=!#;$"2G[!4TlQw=!#;$"1iq*f/#43>!#:$"27WiV!))zR>!#;$"2$[Uxk)*\r>!#;$"1$Rg`a)=.?!#:$"2</)=L%e[.#!#;$"2O_>HQ.l1#!#;$"2t]pZ^<")4#!#;$"1m(3=@&pH@!#:$"21qgm6J7;#!#;$"1mrjF,s#>#!#:$"2l<gVRdTA#!#;7S$"0No\HzM'z!#:$"1LF_!Ql<@)!#;$"1T[**z1nj%)!#;$"1u'e=;4">()!#;$"1A"Rdz"*z(*)!#;$"1>%3XwE-C*!#;$"19!39o>d]*!#;$"1o9F6QPu(*!#;$"2u#>\H!4Y+"!#;$"2Luzv$o2K5!#;$"0z$zi0$)f5!#9$"2)oIV=)fy3"!#;$"2DV"['4ah6"!#;$"2d>h-z-Z9"!#;$"2(yn'o@&\t6!#;$"2ix'HR1_-7!#;$"2'pj?)Go<B"!#;$"2'*y0KQF7E"!#;$"2=jMO:()3H"!#;$"23MY(eot?8!#;$"2X'=C2ew]8!#;$"2KH'4wL'4Q"!#;$"27dF'G!>8T"!#;$"0Vh<LA=W"!#9$"2j6_C(HYs9!#;$"2$oQAt2B.:!#;$"2%*[.oq:T`"!#;$"1Z(>)4z5l:!#:$"2`t]bp(>'f"!#;$"2(=bqlbPF;!#;$"0cJ7AK'e;!#9$"2<XW@de**o"!#;$"2j>"QYdM@<!#;$"2o+$o(4&y_<!#;$"2x#z^7#oUy"!#;$"1,x0;py:=!#:$"2xEFsFLt%=!#;$"1A)[Gh**)y=!#:$"2Yr04\y/">!#;$"2G[aHti?%>!#;$"2)Qgr:akt>!#;$"2uVz=()>_+#!#;$"2Mx`,pzn.#!#;$"2y]0Yr=$o?!#;$"2<3?L/J)*4#!#;$"2a#yUE5JJ@!#;$"2%[]`jKvi@!#;$"2Z">g+E:%>#!#;$"2V&*3j7/bA#!#;7S$"1H)R'\y"y/)!#;$"0"*3$\i"\H)!#:$"1x(esFrba)!#;$"1n9FW-q*z)!#;$"1sX/"e<s0*!#;$"14O5N].=$*!#;$"1pG\s=1#e*!#;$"13OT$30#\)*!#;$"2ZC(4fp$>,"!#;$"2$R.AYeCR5!#;$"2"QI07t$o1"!#;$"2up%)eN,Z4"!#;$"2iES_&y#G7"!#;$"2FMqqe17:"!#;$"1ebw[s#)z6!#:$"2m#3#*y%z'37!#;$"2W"yxxGvP7!#;$"2[Nxs-PqE"!#;$"1))pl5:_'H"!#:$"2fsK:$f>E8!#;$"1P"3C$*\gN"!#:$"2>7eD@tgQ"!#;$"2tFR_abiT"!#;$"2_<$=%z'eY9!#;$"2GtL$Hp0x9!#;$"1bWzTgl2:!#:$"2jBczNu$Q:!#;$"2j4"y_A?p:!#;$"2$)4AAEI,g"!#;$"21GkZ4\6j"!#;$"29>w?k\Am"!#;$"2m(fw))HU$p"!#;$"2h[S7UgYs"!#;$"0%*pcV`fv"!#9$"1<[1XPH(y"!#:$"2(>aZ&Gt'==!#;$"2(R"G8A%3]=!#;$"2$4f"*\*=:)=!#;$"2XPj]5qH">!#;$"20C!**f0VW>!#;$"27())RHM*e(>!#;$"1dX"32_t+#!#:$"1X*3_3+)Q?!#:$"2u**QpJJ-2#!#;$"1*GNI&)R;5#!#:$"2j([(=-?I8#!#;$"1l[F"RmV;#!#:$"1$oVgwtc>#!#:$"18v-&=PpA#!#:7S$"1$>P5B\B8)!#;$"1%[KtT"Hy$)!#;$"1)=hV=Hxi)!#;$"1HMK$*He!)))!#;$"1^?,R0xO"*!#;$"1iI&G$p?'R*!#;$"1dO[!*[!)e'*!#;$"1L">J#\ZC**!#;$"2#e`>`DJ>5!#;$"1')Q[SjYY5!#:$"23$)[9O**Q2"!#;$"2'Gfu")>g,6!#;$"2K)yJXWcH6!#;$"2H;HU*oxd6!#;$"2`vi$)QHi="!#;$"2Jz5\#>"\@"!#;$"2MT$fdW"QC"!#;$"2l,Vb"p#HF"!#;$"27:%z@#RAI"!#;$"2n`A8JT<L"!#;$"23G!e[JUh8!#;$"1=!yWuu7R"!#:$"1h'oF<'G@9!#:$"2ZK"z&eZ9X"!#;$"2TGQ&H#\<["!#;$"1<=,e9=7:!#:$"2@=UouMFa"!#;$"2=;Uhq*Rt:!#;$"2t$yd#4nTg"!#;$"1&\R1#y-N;!#:$"1_25tH(fm"!#:$"2K&zl5Q*pp"!#;$"0&fu!y"3G<!#9$"2n9Ib_G#f<!#;$"2GSy!*)eU!z"!#;$"2y()>P#fm@=!#;$"2FE,c*3%H&=!#;$"2t*RX*GVU)=!#;$"20'*)e7ec:>!#;$"2L"z8)R,p%>!#;$"2:Ujv?V#y>!#;$"22HhCj%e4?!#;$"1\:o&H>4/#!#:$"1;fz^5Cs?!#:$"176%p)Ra.@!#:$"1a)o!=C#[8#!#:$"2`UM;*32m@!#;$"0bc<=%G(>#!#9$"2n3#)yGd%GA!#;7S$"1PO<eP1<#)!#;$"1N^/)yz=Y)!#;$"1oN*)[=85()!#;$"1yuKuLuh*)!#;$"1<$)HS^j;#*!#;$"112XNasu%*!#;$"18oxN-$ft*!#;$"1/**GQj,+5!#:$"2U%*HlnLn-"!#;$"167=]gt`5!#:$"2nmpEJ953"!#;$"2mdhv<f&36!#;$"2i$[=P7OO6!#;$"21E37)4Tk6!#;$"14Z6:))p#>"!#:$"1xd]y]@@7!#:$"2['y<j+&*\7!#;$"2Y&="4.%*)y7!#;$"2#*>@4BP!38!#;$"2N:1p"*ptL"!#;$"21&[mjB)oO"!#;$"2Z?:K)[c'R"!#;$"2b.&QSySE9!#;$"2/DJym,kX"!#;$"2wd_/)o`'["!#;$"2v2k"*3/o^"!#;$"2$R`+9S>Z:!#;$"1&3el\(px:!#:$"2Rq_;^0$3;!#;$"2c&pMy"4!R;!#;$"2c&Q;q(*zp;!#;$"1.%zXso1q"!#:$"2vNa<l2;t"!#;$"2&Gy]U$3Ew"!#;$"2DqLbxiOz"!#;$"23FkQ7jZ#=!#;$"2)*Q)eg<!f&=!#;$"2``MQErq)=!#;$"1a<.@WE=>!#:$"27;kCBu%\>!#;$"2t$p89Rp!)>!#;$"00u***o">,#!#9$"2axpL%o8V?!#;$"2l)z6=wMu?!#;$"1$pW(=La0@!#:$"1i1Fg#=n8#!#:$"1b@Vxp'y;#!#:$"2&=()QBU)*)>#!#;$"2L%y%z'\1IA!#;7S$"1fcwUB&>I)!#;$"1oDTQ4nX&)!#;$"1G9ssuw#z)!#;$"0'*)R'=oJ/*!#:$"1m"*[mnz'H*!#;$"10"*40Xd`&*!#;$"0\.AY?M")*!#:$"2%p<>j^i25!#;$"2$HA;6$)>M5!#;$"2O0Kt#G0h5!#;$"2B'4m$*)z")3"!#;$"0;lUbqb6"!#9$"2%yN&Gt:K9"!#;$"2j[V,D16<"!#;$"2=!p>TGB*>"!#;$"2(\3isheF7!#;$"2'Hidfo:c7!#;$"1f@a#[N\G"!#:$"2w'[y.E"RJ"!#;$"20t#[$yyIM"!#;$"2VjhafCCP"!#;$"2jq(\U1%>S"!#;$"2&\u9rvhJ9!#;$"2oEog3Y9Y"!#;$"14dzjpT"\"!#:$"1Np%f1@:_"!#:$"2/AB=N\<b"!#;$"2ls(Q!*G4#e"!#;$"2Z3)frGa7;!#;$"2Duwqh!4V;!#;$"2&H`5!fFPn"!#;$"20mK\SXWq"!#;$"289*QNeBN<!#;$"1)e.G#34m<!#:$"1x9A$[-qz"!#:$"2,kER6jz#=!#;$"2<?r#*>l*e=!#;$"2aL@eT,+*=!#;$"2`()Gojk5#>!#;$"2.JTg$z9_>!#;$"1i['3fWK)>!#:$"2)fu*[3[V,#!#;$"1H.&)4@XX?!#:$"1z&yoc]l2#!#:$"1*zUtcPw5#!#:$"2D(\-LuqQ@!#;$"1cK#epa(p@!#:$"2O3^p4u2?#!#;$"1oqm&eg<B#!#:7S$"1JrcWk+(Q)!#;$"1M@")o]lH')!#;$"1*ozm&\iv))!#;$"1YnH-]%[7*!#;$"11OaX;Cx$*!#;$"1Xu6?!RFj*!#;$"1*\ea5f7*)*!#;$"2$z')>)=s_,"!#;$"1<!4*[XqT5!#:$"2')HI&QYTo5!#;$"0K65&RR&4"!#9$"2K'RoWQjA6!#;$"2sb-'eb7]6!#;$"1O.))G-'y<"!#:$"10&p\!*Ge?"!#:$"2mtKecASB"!#;$"2;Ubf8KCE"!#;$"2&R(\6][5H"!#;$"2Gk.T_i)>8!#;$"2P#)H'f]')[8!#;$"2tAs&pp/y8!#;$"2C'*Ht8*R29!#;$"2V9h>[7pV"!#;$"2$3>$=(zdm9!#;$"2Cdyxj'Q'\"!#;$"2B)Qv&eHj_"!#;$"1b6$*3!)Rc:!#:$"2B<V#*>$e'e"!#;$"2:jN$el(oh"!#;$"2r+=zgpsk"!#;$"2lk(\**Rvx;!#;$"0$f[B:K3<!#9$"2w@ow6k*Q<!#;$"1"=K](Qnp<!#:$"1,>&40V/!=!#:$"2b&yspSEJ=!#;$"2NW&[I&H@'=!#;$"2"zsV7A.$*=!#;$"2mz;&z]'R#>!#;$"2&fHR%G@\&>!#;$"2(4!y=<%*e)>!#;$"1$3U<Gxo,#!#:$"2YV]4Nky/#!#;$"0cS`J\)y?!#9$"1'3e2JE)4@!#:$"2&G;nt'*yS@!#;$"2j+)GTRtr@!#;$"1*=!>^Ql-A!#:$"1V8_SVaLA!#:7S$"1r!H1.=AZ)!#;$"1&>js&H#Qr)!#;$"1EM'*\Qpe*)!#;$"1hdE8@w1#*!#;$"1vxZ#zczX*!#;$"1_,&>r/Ar*!#;$"1nV+<1Vp**!#;$"1j:!>tbH-"!#:$"2CY9Ve]#\5!#;$"1.3#yb>e2"!#:$"2Bw<GWaE5"!#;$"2i!*zk*ouH6!#;$"2#3E3e%)3d6!#;$"2A@PVcqY="!#;$"2C**)okX[77!#;$"2'G,`O<_S7!#;$"2(\6G+Lxo7!#;$"2z"eHM/B(H"!#;$"2a6Y&*G%)eK"!#;$"1Ne//gsa8!#:$"2DEtprYPQ"!#;$"2))fbCePHT"!#;$"2u0!)Hy*GU9!#;$"29)))RUXzr9!#;$"2-1)\QJW,:!#;$"2M2-^"pAJ:!#;$"2_]*o$HP6c"!#;$"2V;(\%yl6f"!#;$"2#)*G4(*RI@;!#;$"2D/+/lV:l"!#;$"2N;f@ew=o"!#;$"2VK:yv%H7<!#;$"2%*)=#)y-zU<!#;$"2nIa.RbLx"!#;$"2i/I%)[#)R!=!#;$"2M8Lk7kY$=!#;$"2(fU/@IRl=!#;$"2Jqzv0ih*=!#;$"2BRWZHkp#>!#;$"2'on!)oHzd>!#;$"2(\Z?(\T'))>!#;$"0D%f"[.&>?!#9$"20C`.rs.0#!#;$"1&*fbgJC"3#!#:$"11OV***3@6#!#:$"1z"Q`ekH9#!#:$"2MGH#oW!Q<#!#;$"2$pAq*QBY?#!#;$"2w)*yDG;aB#!#;7S$"1HV4Q&zvb)!#;$"1#env"f;)z)!#;$"1snw.V'>/*!#;$"1.wTy%3*)G*!#;$"1E">[&*H*Q&*!#;$"1l762"e>z*!#;$"2$[,II?z/5!#;$"2:g\R?u1."!#;$"1Kv63Z$o0"!#:$"2W0b+wlK3"!#;$"2tf.?Vf*46!#;$"1lu]lw!p8"!#:$"2Kf&z&G-T;"!#;$"2V4(=;]`">"!#;$"2ytvC\(>>7!#;$"2ua\sF"3Z7!#;$"2Uy-T(y<v7!#;$"2X"))pT(yMI"!#;$"2Z(Qk2`(>L"!#;$"2%GL8#)*e1O"!#;$"2GrL8<@&*Q"!#;$"2X!eY!H`&=9!#;$"2a'ebwnuZ9!#;$"2YPC35$4x9!#;$"2Pl$o!y$e1:!#;$"0:=8R5i`"!#9$"2hKBodkfc"!#;$"27e")31Qef"!#;$"2`$f&plAei"!#;$"2:m%)zF5fl"!#;$"2ZWib%H4'o"!#;$"2<0'f)zijr"!#;$"2c*[U,@rY<!#;$"2H?*R^K8x<!#;$"1E3"fy=w!=!#:$"2u*R())Qh"Q=!#;$"1Gal'*Qvo=!#:$"2%\aX.$*Q**=!#;$"2ilVhwg+$>!#;$"2oua&3;wg>!#;$"2#>=DD`["*>!#;$"2mKmZeDA-#!#;$"2%)QDBBwH0#!#;$"2Bsy?HJP3#!#;$"2.))Q)o\[9@!#;$"2:k\$\;BX@!#;$"1M()4.f'f<#!#:$"1(*=p#[#o1A!#:$"28P1QKwtB#!#;7S$"1)Hz,%Q3V')!#;$"1YG)4wvE)))!#;$"1$*)o(GqUD"*!#;$"1kAByOFr$*!#;$"1<iSi&\,i*!#;$"1,2ktk)>()*!#;$"2N@&yE9n75!#;$"28<j"*4E%Q5!#;$"2wNz6IbW1"!#;$"19Tp9:v!4"!#:$"2Xxi+32t6"!#;$"2=%*o&4U6W6!#;$"2L)G$4+l6<"!#;$"2QW`3X^%)>"!#;$"1KCaoa'fA"!#:$"2YI6#*)))p`7!#;$"1k2Z([V;G"!#:$"2`801*4z48!#;$"2xb%o"4L"Q8!#;$"2=TzCYhmO"!#;$"2i'H9mxO&R"!#;$"1E)H'pOCC9!#:$"14&>e&3G`9!#:$"2%[jJN5Z#["!#;$"1p()*y&f!=^"!#:$"2%)4$fBuFT:!#;$"29'*[LHx3d"!#;$"1`bH*\(f+;!#:$"2Z8gX0I/j"!#;$"2CGKE1n.m"!#;$"2Cbfis+/p"!#;$"2LXieNB0s"!#;$"2&e'euPF2v"!#;$"2%z')3S`+"y"!#;$"2P8PF#*\8"=!#;$"2*ofuSRvT=!#;$"18yr^.@s=!#:$"2%=)44E7F!>!#;$"2F"*>h#HDL>!#;$"2xZp?wDQ'>!#;$"2u'zGWVU%*>!#;$"14n]7C/D?!#:$"171dtQnb?!#:$".yQ!GJ'3#!#7$"2_**f8X`p6#!#;$"2YG7qB!fZ@!#;$"2u-$*fv<#y@!#;$"0#=Iy2$)3A!#9$"2))[b!\UURA!#;7S$"1'=L]@C(G()!#;$"1;:4hZMn*)!#;$"0U3hDt!4#*!#:$"1@d!=(y%QX*!#;$"1w%\6o/;q*!#;$"1_uorxF_**!#;$"1X!)>O*z0-"!#:$"2-6v?**4i/"!#;$"2$Gp$)G36s5!#;$"2<#*G+=v#)4"!#;$"0C07k&pC6!#9$"1ypa#ok8:"!#:$"2t!*f:mu#y6!#;$"2.g8e$yT07!#;$"2(QVovjyK7!#;$"2=%[1xBPg7!#;$"2$*p/S(y;)G"!#;$"2sDY7&[;;8!#;$"1^=ic_NW8!#:$"2mXzK,JFP"!#;$"2&y^qJSG,9!#;$"2'[B^@i+I9!#;$"1u'oH]*))e9!#:$"1WVB=e#z["!#:$"2Az&GUr5<:!#;$"2yc,N\Dka"!#;$"2Pa))Q%H(ed"!#;$"22gG*G;W0;!#;$"2u"y-dP7N;!#;$"2`6_&=;"\m"!#;$"1\_V%f(z%p"!#:$"2;,ZV;uZs"!#;$"2">9T9R$[v"!#;$"1$fmWap\y"!#:$"2x%*f[(Q<:=!#;$"2%3Ux_)Ra%=!#;$"2L]"3e0wv=!#;$"2toC(3#Hh!>!#;$"2CmEc;Rl$>!#;$"1$>Ir$R)p'>!#:$"2ZEsH=du*>!#;$"2db)z<F&z-#!#;$"1L]A9XYe?!#:$"1h]X0n)*)3#!#:$"2Vchue8&>@!#;$"2t9X2iR+:#!#;$"2v%*z;Vf0=#!#;$"09gM"y16A!#9$"2X#3mE(f:C#!#;7S$"1e$)><V\9))!#;$"1jVc@c;_!*!#;$"1CJ_,Z*GH*!#;$"1"Q0vv@m`*!#;$"0h0/(\G$y*!#:$"0)oyg?G.5!#9$"19-N8j^G5!#:$"2`!p'=`CS0"!#;$"2(*z^c$)*zz5!#;$"20\*y(>Ne5"!#;$"2ykyoXB@8"!#;$"2:;%*)Gtle6!#;$"2m%=8>%Ha="!#;$"28&3?MAV77!#;$"1<#HS>e'R7!#:$"2&H'[Qk*4n7!#;$"2)3^7m)[ZH"!#;$"2d9.C4)fA8!#;$"1T<.:&R1N"!#:$"2,*=u)Hl)y8!#;$"0:Y?fnsS"!#9$"2G=K%Q&QeV"!#;$"2vhBtGqXY"!#;$"2K"Gy/]X$\"!#;$"2GwJR)[[A:!#;$"2:!*o]:_;b"!#;$"2&=6Y&4\4e"!#;$"1k?zQ!o.h"!#:$"2%R%\UQ,*R;!#;$"2&RdB0;ap;!#;$"22i)od7G*p"!#;$"2;)))*z)H6H<!#;$"2/r:0aH!f<!#;$"0oIYwB!*y"!#9$"2[kL9i)3>=!#;$"14a$**=<#\=!#:$"2Kq`Gn-%z=!#;$"20mg>SQ'4>!#;$"1<:*H%y"*R>!#:$"1\e6+YBq>!#:$"1kS(*>Ce+?!#:$"1sLG&>b4.#!#:$"1j'=!opMh?!#:$"1d^<K>v"4#!#:$"1M27OW;A@!#:$"1Xqa%)*yD:#!#:$"2naH+C!*H=#!#;$"2:^2U-$R8A!#;$"2Y)ff=ByVA!#;7S$"1,\U^")Q+*)!#;$"1R"[lWJr8*!#;$"1;fOKN)oP*!#;$"07Gn`'e>'*!#:$"0Q]Ok!=l)*!#:$"2.n3$>/O65!#;$"2XwY$y$zk."!#;$"1(4pwVo=1"!#:$"2zwC0%4_(3"!#;$"2nD;")3IM6"!#;$"2mmU1&*)eR6!#;$"1`)f%y/*f;"!#:$"1$>DL^FE>"!#:$"2#\\p*z#\>7!#;$"2&RD/'**ylC"!#;$"0[mhoyQF"!#9$"2#HtX!R%Q,8!#;$"2Aq$4x&)3H8!#;$"2-:QJn$)pN"!#;$"1JZ]v?1&Q"!#:$"2$f4xhhJ89!#;$"1P!33IQ<W"!#:$"2lT/K'3Kq9!#;$"2-&*e9Bc!*\"!#;$"0F@*4o$z_"!#9$"1Z%eW.bpb"!#:$"1'GG=Q.he"!#:$"2yET(yVP:;!#;$"2(eXf51wW;!#;$"2C/j)HZDu;!#;$"2K+MTY\Qq"!#;$"2$=NxBw`L<!#;$"28N9#4@Jj<!#;$"2pccy"f;$z"!#;$"2J!Qd]@4B=!#;$"2M`>y,%3`=!#;$"1:$H`%[8$)=!#:$"16kTz!QK">!#:$"2-nf=H(QV>!#;$"29)RQ%=wN(>!#;$"1%*[t#f)z.?!#:$"2VV].\[S.#!#;$"2%*HM;**>V1#!#;$"1@e$[N2Y4#!#:$"1WKa%)\!\7#!#:$"2#>zzLu?b@!#;$"1kz$eS4b=#!#:$"2.(3[bd!e@#!#;$"2&[a:!\"4YA!#;7S$"1_&='[+S')*)!#;$"1M_V8dBA#*!#;$"18gBPB.h%*!#;$"1cj[!)Qt-(*!#;$"0"[;KCGZ**!#:$"2.6^.$=Y>5!#;$"1_)QC,oW/"!#:$"2t](>%\S(p5!#;$"2GI\@$GF&4"!#;$"2DRo[We57"!#;$"2MJtLi!4Z6!#;$"2(>[jTDOt6!#;$"1K&prEn)*>"!#:$"1e**orxfE7!#:$"2Yw"yTpa`7!#;$"2$[&z&*e22G"!#;$"2L%GTjC238!#;$"2jq%ReUjN8!#;$"2))*e#pi&Qj8!#;$"1A&)3*=>8R"!#:$"2ox.HaF%>9!#;$"2m`HWF.xW"!#;$"22Wuw'*QhZ"!#;$"19jI9ss/:!#:$"1)*Q8B1YL:!#:$"1U@MH=Li:!#:$"2y]iM]L8f"!#;$"2Y9h+Oe/i"!#;$"2u3Hh;*p\;!#;$"2[0g"\([!z;!#;$"2sz-\++&3<!#;$"1;kx/f/Q<!#:$"2nSQH]zww"!#;$"2ev'*H%RR(z"!#;$"1s'eVY#=F=!#:$"2,35#3%Qq&=!#;$"2&387B_&p)=!#;$"2m"eFqk#p">!#;$"1:,KGe%p%>!#:$"1UV$y42q(>!#:$"2X@Ca?/r+#!#;$"1'HOu?Js.#!#:$"1s'*H$H#Qn?!#:$"2CE)\)y^v4#!#;$"1J!zr:Mx7#!#:$"1lBS/S#z:#!#:$"1Q=/yg6)=#!#:$"2)[9Mq_I=A!#;$"13#R">m[[A!#:7S$"1XVsVY_s!*!#;$"1fzzZAZ2$*!#;$"1r9*z4M`a*!#;$"1&et&)*e0'y*!#;$"2'fw9b"eH+"!#;$"2AgYWK&eF5!#;$"2:AyT:"[_5!#;$"2\B*pZ&Rw2"!#;$"1O(yZEaI5"!#:$"2o\X7$*=(G6!#;$"23%ex[qia6!#;$"2-)[z/?x!="!#;$"2y,kC3Zr?"!#;$"2sjF2ZXPB"!#;$"2m?#Ru-cg7!#;$"2wG6U_%e(G"!#;$"2"*Q]p=6[J"!#;$"2#>hSvJBU8!#;$"2%\YNeL%)p8!#;$"2&z_SqXj(R"!#;$"2QbN<i*fD9!#;$"28J&o28t`9!#;$"2e#z==C-#["!#;$"2G(z,ZdY5:!#;$"17c$35a!R:!#:$"2Z04!3.yn:!#;$"2Vj(>Fsj'f"!#;$"2`<zcv<ci"!#;$"2Ea1u$[ra;!#;$"2"f&z2Z@Ro"!#;$"2Fl>hrIKr"!#;$"2A)f$GqNEu"!#;$"1iHFO'H@x"!#:$"2R\IU!eq,=!#;$"2kX\Jed8$=!#;$"2UGcRWy5'=!#;$"1n<cd>'3*=!#:$"2oR5+!=q?>!#;$"1pyFd<f]>!#:$"2.^:(Hd_!)>!#;$"1a:9Ox\5?!#:$"1a.e<>]S?!#:$"1s;lSD`q?!#:$"19Kh+Se+@!#:$"2_igS#3lI@!#;$"1c+Hrwsg@!#:$"2LDH$Q$43>#!#;$"1<Tke2*3A#!#:$"2(f#GX+n4D#!#;7S$"1b&o`&ove"*!#;$"1%=#H+_$GR*!#;$"1v5$R;#yH'*!#;$"1.]36^ap)*!#;$"2o?Kq'p?65!#;$"2nz(p")*Hd."!#;$"2eD\ez<01"!#;$"2#=W=-Xc&3"!#;$"2m'QGaS'36"!#;$"2#G1qv-TO6!#;$"2m%e=po>i6!#;$"2O]DgU<#)="!#;$"2s@jaVlW@"!#;$"1bU=%HM4C"!#:$"2m3OeJ<wE"!#;$"1_5cSx]%H"!#:$"2$oq^W()f@8!#;$"1iFO\M))[8!#:$"2a$RoJ\Nw8!#;$"1H)QBB1SS"!#:$"1'R+dOI=V"!#:$"1NWxG.#)f9!#:$"2$)Qt,6pz["!#;$"2_GE*)ppi^"!#;$"2xT1J4:Za"!#;$"2%z"f#3$)Ht:!#;$"2<c8cQ7?g"!#;$"2F&=1+/&3j"!#;$"23<$*yY0)f;!#;$"1pvEa2())o"!#:$"2kc=/[R!=<!#;$"1"=t0$\IZ<!#:$"2-iz&e/mw<!#;$"2Z*RB%\*41=!#;$"2Yg)H\bhN=!#;$"2(*[0KA-_'=!#;$"2C3S%3K&[*=!#;$"2c(4g&HiX#>!#;$"2'3H8yLKa>!#;$"2:@JnXIT)>!#;$"1cpTVw(R,#!#:$"1%=$Gl"fQ/#!#:$"2M^8zOpP2#!#;$"1[aZ=Fq.@!#:$"2Pi"\3QlL@!#;$"2()3$Hcthj@!#;$"1x&f"4#)e$>#!#:$"2(QD:X8cBA!#;$"2$ytku=``A!#;7S$"1<'*4n=4X#*!#;$"1FWND!>$y%*!#;$"1Yf&zAqVr*!#;$"1K.4AW>`**!#;$"2Mk">))QZ>5!#;$"2Xxw'G\*Q/"!#;$"2mXc,)pdo5!#;$"2np@fJ9N4"!#;$"2c^zW2,(=6!#;$"289C"o78W6!#;$"2j\R;z)zp6!#;$"1'456V(p&>"!#:$"2aR<G(3#=A"!#;$"1$o)>7F;[7!#:$"2BwXGY;ZF"!#;$"2r"4_lbZ,8!#;$"2G*y;(RL%G8!#;$"223'*)zKeb8!#;$"2LX;**[=HQ"!#;$"1M%3kEK/T"!#:$"2kN(H?y6Q9!#;$"2'zG#HMofY"!#;$"1)[zX,xR\"!#:$"2F"3"H,P@_"!#;$"2i`S6_T/b"!#;$"2YJBht$))y:!#;$"2k<+i(oX2;!#;$"2'fP%))=ahj"!#;$"1;(z!e*o\m"!#:$"1&fr;^%*Qp"!#:$"2Ohd!GU#Hs"!#;$"1h'GIa^?v"!#:$"2G*z8c*p7y"!#;$"2b8Mo.t0"=!#;$"2$e&4.Va*R=!#;$"2lseI'ySp=!#;$"1[-9[r#*)*=!#:$"2*z(Q,>1&G>!#;$"2m]B)*)*Q"e>!#;$"2w#4]['>y)>!#;$"1p11sBa<?!#:$"1-Tru9IZ?!#:$"2ELECQ"4x?!#;$"2c=Vgj1p5#!#;$"18b6%*=uO@!#:$"1^TUN>fm@!#:$"1%[47m^k>#!#:$"1O/6(4;jA#!#:$"2lM=[R!=cA!#;7S$"1k]35^_J$*!#;$"01M:Y=Rc*!#:$"1#3QXI#4*z*!#;$"1;v_4(*p.5!#:$"1CRtn"ex-"!#:$"1>'[bLz?0"!#:$"2B0Zrzdm2"!#;$"2L5x")*z[,6!#;$"2A0+PDkl7"!#;$"22:ziv!)=:"!#;$"2d%[>%eJu<"!#;$"2Z`l(42@.7!#;$"2ku_x+7#H7!#;$"2DiHQEHaD"!#;$"1E<4$=c=G"!#:$"22P*e)R'[38!#;$"27"4')zMJN8!#;$"2/xY9%4Li8!#;$"2HPk8DK&*Q"!#;$"2EfC&R3"pT"!#;$"2#e321,YW9!#;$"2$3EiHM<s9!#;$"2xV0a<W+]"!#;$"2:&4D.d1G:!#;$"2*f+Xv8Bc:!#;$"2A?WWcMXe"!#;$"2>%)R.moHh"!#;$"2oMK#yq_T;!#;$"1FjKlK?q;!#:$"2UHSyq!**)p"!#;$"2[_%oPH)ys"!#;$"2(**=!*QN(ov"!#;$"2$>C'Q:cfy"!#;$"2N6.#*[C^"=!#;$"2t(f]@BPW=!#;$"2Kb2F]$pt=!#;$"2#=ZBl>3.>!#;$"21CiosJD$>!#;$"18&)G&*o.i>!#:$"2'RpUs;f"*>!#;$"2l>6%e.>@?!#;$"0k8`NF30#!#9$"1rodqr\!3#!#:$"2oOf,U%>5@!#;$"2E*oRJQ"*R@!#;$"1n@eX-lp@!#:$"1#*fE?')R*>#!#:$"13QGJS:HA!#:$"1;A^u;"*eA!#:7S$"1)RNrC_!=%*!#;$"1XyJ8&G'\'*!#;$"1u2M4F%R))*!#;$"1V%QJn%475!#:$"2J)f3#4fg."!#;$"2G@,MT#Gg5!#;$"2m;]8QfZ3"!#;$"2&px<1Y[46!#;$"1#e0;d_W8"!#:$"1M3ZUwlf6!#:$"2GT([sS4&="!#;$"2MR4@,c2@"!#;$"2Wlxk^PmB"!#;$"2Y/IMbKFE"!#;$"1;eb6].*G"!#:$"1G]F3(QbJ"!#:$"2Y$R#zRPAM"!#;$"2_hF)zZ7p8!#;$"2'p9M1X>'R"!#;$"21`V3>SMU"!#;$"2")4gcTb3X"!#;$"21h2*RPVy9!#;$"2WFMsqoh]"!#;$"27dXM&Q0M:!#;$"2UQ)*Rr#3i:!#;$"2X;\8$)[-f"!#;$"2nMU@wX&=;!#;$"28&eA%3npk"!#;$"2CW"[.k]v;!#;$"2'e$e/OdTq"!#;$"18'*zOO"Ht"!#:$"1#4^9'*o<w"!#:$"2C[Wm6<2z"!#;$"1\fkV>v>=!#:$"0Jj#[t')[=!#9$"2AP0hId!y=!#;$"22%zeneJ2>!#;$"1D>oirjO>!#:$"2ju*R0a,m>!#;$"1Ms,)*[W&*>!#:$"1t)G].?\-#!#:$"1`_$oINW0#!#:$"2Q@iJI&)R3#!#;$"2V47irkN6#!#;$"1P"[NMoJ9#!#:$"2X)Qr!4"zs@!#;$"2F6!ftzU-A!#;$"1AC\?T2KA!#:$"1hL,uZshA!#:7S$"0"*Qz:pY]*!#:$"1%)zJMWWN(*!#;$"1:.NSg"*o**!#;$"2,qJZs.0-"!#;$"2<L/F)fPW5!#;$"2mmk<T.&o5!#;$"2Ah:"44)G4"!#;$"2LG$GUK]<6!#;$"2mw,i0lB9"!#;$"2C.L/)3Yn6!#;$"2$zT]O^y#>"!#;$"2&3TMX@L=7!#;$"2xl,[8'4W7!#;$"2dBFsCr+F"!#;$"2Q-+ra^iH"!#;$"2u+$oG5jA8!#;$"1%=)oBO?\8!#:$"2&=Y$*3K'fP"!#;$"2)oA)Rh.HS"!#;$"2t#[sG'=+V"!#;$"2xGD4,-tX"!#;$"2ZJyO\ZZ["!#;$"2A/%y#z[B^"!#;$"2FT=Sh*4S:!#;$"2#)y&GgO*zc"!#;$"2)R,kQY-'f"!#;$"2mvhrE'=C;!#;$"229x;GsCl"!#;$"23U5BWw3o"!#;$"2_Gb)RDR4<!#;$"2.Ld>S9!Q<!#;$"2zK(4**etm<!#;$"2)onO]4b&z"!#;$"2.%y-HNXC=!#;$"0s]ymPM&=!#9$"2w&>Aku\#)=!#;$"2OU=]3F;">!#;$"1r@Cr2#3%>!#:$"2LJ7C%G2q>!#;$"1/3r+xP**>!#:$"1o(z[$)H(G?!#:$"2k$)oQ#Q7e?!#;$"2vfJ-Mav3#!#;$"1$4rK:;q6#!#:$"1s[$>8/l9#!#:$"2/#4YZK,w@!#;$"1Njxv&Qb?#!#:$"0F^'*Hv]B#!#9$"1;8h5(=YE#!#:7S$"1$o-a#>P"f*!#;$"1Lpq6<O@)*!#;$"2K:Rgr+a+"!#;$"2C[tcGE*G5!#;$"2$>#\R>3F0"!#;$"2PF0jhTn2"!#;$"1=n8'f@55"!#:$"14!\80Vb7"!#:$"2()fd5y+.:"!#;$"2xy;CZ*Gv6!#;$"2wIhvq.0?"!#;$"2x?W1(z$fA"!#;$"2vPa\l'e^7!#;$"1Qr4qSWx7!#:$"1O8A\W].8!#:$"2`Zwi&>wH8!#;$"2rd$G$p5iN"!#;$"2so.wqWGQ"!#;$"2<7)=**zl49!#;$"2*o\zFXkO9!#;$"2nfc,A)zj9!#;$"2vN$3xH6"\"!#;$"297*[!o#e=:!#;$"22uC.?,ia"!#;$"1)*fS,C'Rd"!#:$"2YDB,:g=g"!#;$"2\X?5K)))H;!#;$"2"Q=B.3/e;!#;$"27Kln]6jo"!#;$"299A'oVp9<!#;$"2x,V(eL=V<!#;$"2'e=x&[s<x"!#;$"2AgGE!eX+=!#;$"2Ql$)=TF#H=!#;$"2e%p#4Z"3e=!#;$"2^_Dp>7q)=!#;$"2t:k:(Q,;>!#;$"2VGkb%33X>!#;$"2aJxHa2U(>!#;$"2&***[_Y)Q.?!#;$"2LF_]>=E.#!#;$"1&y'))*R"*=1#!#:$"1MQWNG?"4#!#:$"0GO([ta?@!#9$"2Z\$*4))>*\@!#;$"1t@KqaJz@!#:$"1UV8a#H(3A!#:$"1\XMrk:QA!#:$"1E(QVY#fnA!#:7S$"1d]+Bo:y'*!#;$"17Rz^gP2**!#;$"2-="4=6#R,"!#;$"2U=1_!=OP5!#;$"28<466b51"!#;$"2Q<!oYj*\3"!#;$"2h)H9&p!=46!#;$"27(oE=KgL6!#;$"23q1F')e#e6!#;$"1ulYmC9$="!#:$"1N<Zl([#37!#:$"2%yNB+CdL7!#;$"2wM#fAz5f7!#;$"2&*=AD!)\[G"!#;$"1zK)\V#z58!#:$"2ko0o9IpL"!#;$"28%**e.sDj8!#;$"2hJ4m"yw*Q"!#;$"2k2*p\hX;9!#;$"2$z#=hK;LW"!#;$"23$*p`VU.Z"!#;$"2@nl*R&Gv\"!#;$"1)f@@oo[_"!#:$"2*\@P!*oN_:!#;$"2'p&*3'=()*z:!#;$"2Fy'*)*e`xg"!#;$"2N?iz7]cj"!#;$"2kRl"Q3nj;!#;$"2j=Bhx4=p"!#;$"2BGm5-h+s"!#;$"2wAd:o=%[<!#;$"1*)4/,p(ox"!#:$"2(*=?K')Ha!=!#;$"1UwC(zrS$=!#:$"23YHF)pzi=!#;$"27vKXv*f"*=!#;$"2VV#R2XZ?>!#;$"2'zDJ+dT\>!#;$"19"e2'yTy>!#:$"1$fL')evu+#!#:$"2lAY+c$eO?!#;$"288^3`Od1#!#;$"2`Fx*R$H\4#!#;$"1XL`7p:C@!#:$"1LKpiUT`@!#:$"2u]hj\'p#=#!#;$"1D)>O"))*>@#!#:$"2wlb4^;8C#!#;$"1HaF$)\kqA!#:7S$"1mR2..-l(*!#;$"1nskmL[$***!#;$"23)GpWBXA5!#;$"1/gxe(4e/"!#:$"2&eQc[hTp5!#;$"278SX&pE$4"!#;$"1T&\P\dt6"!#:$"2`Oqc'HoT6!#;$"2Wv=#e%Qi;"!#;$"175(Q&*=5>"!#:$"2x%)*)eL>g@"!#;$"1b/k%RM7C"!#:$"2vF#)R$)emE"!#;$"2M?AxF(G#H"!#;$"2C+:hF9"=8!#;$"2(3pR7V8W8!#;$"2^CQ$4=Mq8!#;$"2vG,e8JnR"!#;$"2Dh*G8mHB9!#;$"17bZAD.]9!#:$"1KAp4J$pZ"!#:$"2(z"yLf#*R]"!#;$"1Q0Yq^?J:!#:$"1#3mE-l&e:!#:$"2sWZFKmge"!#;$"2")\81C.Ph"!#;$"2#**GN\*p9k"!#;$"1<09J1Op;!#:$"2yt;I[ptp"!#;$"2iNIDs!\D<!#;$"1)>OKf=Pv"!#:$"2_FR+PZ?y"!#;$"2mtxVOr/"=!#;$"1dvBH\)*Q=!#:$"2#*\#*RY#en=!#;$"2FQj!>%ei*=!#;$"0Y"R+t+D>!#9$"2w;@PnBQ&>!#;$"2Q>)oo@q#)>!#;$"2xT4F[P;,#!#;$"1E=n%QC1/#!#:$"2&R"=%=xlp?!#;$"2P[FgSK()4#!#;$"1R**)3XVy7#!#:$"0Yu0%f)p:#!#9$"2B8!\\]:'=#!#;$"2wET8/Y`@#!#;$"2VRx8FaXC#!#;$"2LnR%)=vPF#!#;7S$"14Q"f)*e>&)*!#;$"29lnh(z'z+"!#;$"2Qr/B&R*4."!#;$"0&zZY'pU0"!#9$"2KMu![2zx5!#;$"1"*)o;#Gb,6!#:$"2MV^CJ^b7"!#;$"1>:z^:y\6!#:$"2uvGHwQU<"!#;$"2,$exm!=*)>"!#;$"2(G7#y[9QA"!#;$"2^l=,'H#*[7!#;$"1[*\LLQUF"!#:$"2OO[*y`v*H"!#;$"2T0pizoaK"!#;$"2li$z=KP^8!#;$"2%[dN?KYx8!#;$"1C\P@Lt.9!#:$"2.n&3&*z<I9!#;$"2;d\Pn"zc9!#;$"2/"z$[voN["!#;$"2#QG<2O]5:!#;$"2AL:qd!fP:!#;$"2%o&)3%*R#[c"!#;$"1Lc_x")>#f"!#:$"2Z#4tTuq>;!#;$"1Q]9-hMZ;!#:$"1QK!4[3^n"!#:$"1(GyB"*))Hq"!#:$"2Dk)f[<)4t"!#;$"26qLXO"3f<!#;$"2)=#QK;#G(y"!#;$"2.a[3eyb"=!#;$"2d#QU"4lR%=!#;$"2Z)fi6iVs=!#;$"1MEB0l)4!>!#:$"2L&yZ(e5'H>!#;$"1jh@HJIe>!#:$"2<i04')eq)>!#;$"1slSwD(e,#!#:$"2.1$fO"RZ/#!#;$"2m^uFZ`O2#!#;$"1Be#**e5E5#!#:$"1VWspbgJ@!#:$"2(oPRtNjg@!#;$"2(yBNW)*o*=#!#;$"0Rp1rp(=A!#9$"1klK(eoyC#!#:$"0F)Gy>)pF#!#97S$"1@/r\'p*Q**!#;$"2'=&4C:'f;5!#;$"2OqX!=baR5!#;$"2h*)3;*4ui5!#;$"2#42>x$yh3"!#;$"2xd[#eL&)46!#;$"2wy^F]hP8"!#;$"1*ee%o#)*y:"!#:$"2:v7$3!fA="!#;$"2wrZf(*Qo?"!#;$"1tjGJLjJ7!#:$"2vJCi9PmD"!#;$"2_[%Q5a%=G"!#;$"2K*3$p.`sI"!#;$"2&)HH%o[&GL"!#;$"2ahUFoX'e8!#;$"2N%*[*)>?YQ"!#;$"1f-F$3t2T"!#:$"2a()**\&*)4P9!#;$"2%3qT#R#fj9!#;$"1jpnQzC!\"!#:$"2eplw5gq^"!#;$"2Uz2)*QBSa"!#;$"2y<<yDK6d"!#;$"1l,Qs6Q)f"!#:$"21!4w(ekdi"!#;$"2s]>t&pF`;!#;$"1pO$*QF"4o"!#:$"2)))[J+km3<!#;$"2["4@CC`O<!#;$"2,W'[8`]k<!#;$"2ucugfzDz"!#;$"1e>zH)\2#=!#:$"2)z6,21,\=!#;$"2f=%=flNx=!#;$"2cM67O#y0>!#;$"2$**4lNFGM>!#;$"20,lnX_G'>!#;$"1^iRaj["*>!#:$"1QXn<$z,-#!#:$"1jza)HE*[?!#:$"1Cr8:Bsx?!#:$"1o-"\Xil5#!#:$"2Lxxw(=WN@!#;$"2B&\S=eNk@!#;$"14E%)*e*H$>#!#:$"2:Bv\eoAA#!#;$"1[rGz#e7D#!#:$"1Xu%GBk-G#!#:7S$"2:1:@#\g-5!#;$"2sK>7^K_-"!#;$"1zO[Qm5[5!#:$"2w:?$RLAr5!#;$"2D%zwF&yX4"!#;$"2a]T7+o"=6!#;$"2&RQTXu)>9"!#;$"2**=C#RC.m6!#;$"2#*\***f%)H!>"!#;$"1(ey'))3y97!#:$"1^z7:]ZR7!#:$"0,QN/wVE"!#9$"2'R%))y4z%*G"!#;$"2@LruAzZJ"!#;$"2oygCTr-M"!#;$"21l<&p0&fO"!#;$"1Y"=ub6=R"!#:$"2bA&p#=\yT"!#;$"1$e"G0#eSW"!#:$"2=ZVTML/Z"!#;$"28f%*GGpp\"!#;$"2V_z`ngO_"!#;$"2Z^;7:-0b"!#;$"17&*G@$)[x:!#:$"18)zJy8Yg"!#:$"1"*y_EJ(=j"!#:$"2vG;$Q4Ef;!#;$"1H\13=x'o"!#:$"2yTIHL+Wr"!#;$"1F9qA69U<!#:$"2Bb#o/)))*p<!#;$"2a`f%G!Qzz"!#;$"2e7R0Z$)f#=!#;$"2YHd)Q)>T&=!#;$"2e)*\r(=M#)=!#;$"2Q."=pVk5>!#;$"2CKAG9A!R>!#;$"29x")R2qu'>!#;$"2_6v.4$)f*>!#;$"2D.Q^<cX-#!#;$"1DbFqV=`?!#:$"2v'f%*zF'=3#!#;$"2uvxNd'e5@!#;$"2u!o")))4NR@!#;$"2bu.VL^"o@!#;$"1c*zA*H)p>#!#:$"2E<A5UTeA#!#;$"1Qc5d@saA!#:$"11j\<3i$G#!#:7S$"2s$)pmZ>8,"!#;$"0WNXrwQ."!#9$"2Xs3&Gpnc5!#;$"2=yh`D;(z5!#;$"2Ep"e92*H5"!#;$"2EbzG@'\E6!#;$"0aF)[&G-:"!#9$"1$G9wT$=u6!#:$"27X3fTc$)>"!#;$"2BZ?o/VFA"!#;$"12?&\sQtC"!#:$"2'HG_"yQ@F"!#;$"2#)fk&p%QrH"!#;$"2W*4<pHLA8!#;$"20s$z#R<xM"!#;$"1)yt0z'Gt8!#:$"2Qo(pbh.*R"!#;$"2.'zwH/'\U"!#;$"2-+y"3X0^9!#;$"1e2[XKJx9!#:$"2C_T2YJP]"!#;$"2`#['G%RII:!#;$"2Z$f)eXDqb"!#;$"2Fb<Uu!*Qe"!#;$"2GbUy`%*3h"!#;$"2l*RWd:.Q;!#;$"17QY>lHl;!#:$"2L%>3TTo#p"!#;$"2`23^9*=?<!#;$"2_SyZE1yu"!#;$"2'[-X[-`v<!#;$"2sp(=keN.=!#;$"2D&>B/zFJ=!#;$"28F]$*="Hf=!#;$"2o%z0t0R()=!#;$"2-<3d%4d:>!#;$"2J#\WQs#Q%>!#;$"2co9qUa@(>!#;$"2)3HVNva+?!#;$"2N)=]R;+H?!#;$"2v*o<q=^d?!#;$"1W!ynTtg3#!#:$"2<]X+`"o9@!#;$"1.l.D:LV@!#:$"1$fiQy=?<#!#:$"2oBm#e(Q2?#!#;$"2B?O?(p[HA!#;$"2c`hK-f#eA!#;$"2LNCke]qG#!#;7S$"1%[Z%[./?5!#:$"2n%eZR%GD/"!#;$"2,I$G?gDl5!#;$"2`Y6\K>#)3"!#;$"2VIOSZ996"!#;$"2^,`#zu$[8"!#;$"1[B[ZU[e6!#:$"2xK*[&e]B="!#;$"2W/0X?Kk?"!#;$"2V4U\sC2B"!#;$"2b5%>"oB_D"!#;$"21o4l_C*z7!#;$"2)=5$zjA[I"!#;$"1WuG@L"*H8!#:$"2A-Mi"=>b8!#;$"29\D8I`1Q"!#;$"2dv:"**GH19!#;$"2eCt7o0@V"!#;$"1YDqtm3e9!#:$"28#Gmh3B%["!#;$"1vO([>L0^"!#:$"1r#*f#f))p`"!#:$"2-t,([>fj:!#;$"26+bm8Q.f"!#;$"24j5X,Ash"!#;$"1%>2)H%QUk"!#:$"2KC:WA#Qr;!#;$"2[45$R#[')p"!#;$"2"o\E>8.E<!#;$"2TLduJENv"!#;$"2_n")**4G6y"!#;$"2j>i-bJ)3=!#;$"2VNfLdJm$=!#;$"2=Yk,5BX'=!#;$"16qZ"4,D*=!#:$"2.qf>ag0#>!#;$"2t_mR['p[>!#;$"2(*zR7*R!p(>!#;$"2:8sC=y^+#!#;$"1v+tCU^L?!#:$"2mGOnL2>1#!#;$"2bg2?z_.4#!#;$"2swY=#f%)=@!#;$"1(*e==@QZ@!#:$"2%o-GOo&f<#!#;$"1d7D(flX?#!#:$"1(ox/*R?LA!#:$"2.ENenn=E#!#;$"2n*Ry&Q_0H#!#;7S$"2OZp'pswG5!#;$"2)>;Zxt=^5!#;$"2i2jAcVQ2"!#;$"1"f"[^@t'4"!#:$"2o8eHO\)>6!#;$"2*Q:**38>V6!#;$"2GMQ0+an;"!#;$"2yZ4:NL0>"!#;$"2D2lJ=DX@"!#;$"2yp)fG_sQ7!#;$"2B5-t8HJE"!#;$"13:!)zCt(G"!#:$"2ZNcBvIDJ"!#;$"1a9r"Q>vL"!#:$"2(zL*)HPpi8!#;$"1;?/*4\!)Q"!#:$"2O:oit!e89!#;$"2&>"G&QQGR9!#;$"29Y1vb`^Y"!#;$"2j%y\/]="\"!#;$"27Wz_Dtt^"!#;$"2)f^'\N8Pa"!#;$"2uQLGK+-d"!#;$"2y!*>r:Hof"!#;$"2\,o(R[fB;!#;$"2b,G6M#\];!#;$"2^])fCm^x;!#;$"2&H@?^Em/<!#;$"2a"))3%QD>t"!#;$"2RlfHz*Hf<!#;$"2Q-0%e3y'y"!#;$"1%z]hdjV"=!#:$"2Yy17'H/U=!#;$"1%)>">09)p=!#:$"2)f8(Q">n(*=!#;$"1#\zPk6c#>!#:$"2l^EJPGO&>!#;$"2LL#yrsr")>!#;$"1m_X^N()4?!#:$"1()=-pC4Q?!#:$"12\sH$pj1#!#:$"2:]O-\*p%4#!#;$"2N![eh$yI7#!#;$"2MfT>T,::#!#;$"2jgp#pT'*z@!#;$"1d#GQAi%3A!#:$"2;&o`I7*pB#!#;$"0x%>6palA!#9$"12%el0DTH#!#:7S$"2e\hU)**\P5!#;$"2PheMB`)f5!#;$"2Q0$G=#RC3"!#;$"2vY)*eNa_5"!#;$"2Punu&\HG6!#;$"2OFI?Bd::"!#;$"1v&)[!HP]<"!#:$"1Hkp\6t)>"!#:$"2@_SmtMEA"!#;$"2<W2F*QuY7!#;$"1dx-yV0r7!#:$"2#H)))e(=c&H"!#;$"2W$z?(*>E?8!#;$"23Ad]G]^M"!#;$"1*)>B>AAq8!#:$"2D&Q&3AtaR"!#;$"2&H-+d')*3U"!#;$"2"==NXQ\Y9!#;$"2ih\)eSDs9!#;$"2&oKNIX<)\"!#;$"1\DHd/DC:!#:$"2%3RI1qZ]:!#;$"2LDWyJ\od"!#;$"2F=u2^iLg"!#;$"2s6.po6+j"!#;$"2(f!*[N>zc;!#;$"2Gv&oP$)p$o"!#;$"2[RI4(fs5<!#;$"2dFlK"*pyt"!#;$"2&poeZ_7l<!#;$"2[M;e1([#z"!#;$"24e&)HZ]*>=!#;$"/KB"f5v%=!#8$"11`qjD;v=!#:$"2#egNe:!H!>!#;$"2DTV;xA2$>!#;$"2'Rd6K9ie>!#;$"2$\`)Q!Gf')>!#;$"1#H&)**=KY,#!#:$"1&41c$\tU?!#:$"1i%47V'*32#!#:$"1Fj^:@6*4#!#:$"1$*oOyuPF@!#:$"2;s]M1)ob@!#;$"1(>04ZRS=#!#:$"1V5yftU7A!#:$"2C*QP]u%3C#!#;$"177UEbHpA!#:$"1-U;Puw(H#!#:7S$"2&4c>Z#Qi/"!#;$"2$eH7Dd_o5!#;$"2V)RqmE/"4"!#;$"2bG[`d&y86!#;$"2))3D>&3vO6!#;$"2;2b%)zM*f6!#;$"2#Gg!>iLL="!#;$"2<0&3QM%p?"!#;$"2my>cFg2B"!#;$"2m<@+3!ya7!#;$"2U**>yr)**y7!#;$"2;Rp2)>T.8!#;$"2Vj0,f:!G8!#;$"274f3?0GN"!#;$"1#f2iSwxP"!#:$"1JU'=uCHS"!#:$"2$)o"\!pX#G9!#;$"1C_8'oMPX"!#:$"2C]m'=rQz9!#;$"2#f0BQ$)>0:!#;$"2o>)ofO;J:!#;$"28LYqOysb"!#;$"2_()oyrPNe"!#;$"2'*)3mZp$*4;!#;$"2)>*=UFrkj"!#;$"2bjS>!f8j;!#;$"2E+(3Eg#**o"!#;$"2"H0*p$o$or"!#;$"2;H.U_jQu"!#;$"2)o'y0G,5x"!#;$"2e*4G1`C)z"!#;$"2$*e<F"3fD=!#;$"2&yyQEI.`=!#;$"1"fWE>n0)=!#:$"2&*Hi$z&)=3>!#;$"2k!*30[#*e$>!#;$"1veh>Unj>!#:$"2VTVJ:H:*>!#;$"2C/PPn_%>?!#;$"2EJsL@Su/#!#;$"2Dv%QYs[v?!#;$"2WU#Q#H*e.@!#;$"29wQ!>>uJ@!#;$"2'*ojZuS*f@!#;$"1O8DT9=)=#!#:$"2<!H!ftfk@#!#;$"2NiBTTrZC#!#;$"2X)H\@B6tA!#;$"1ow!eOy9I#!#:7S$"2D,wQ#=)\0"!#;$"2(Ri>#e/s2"!#;$"2Ob9'*f`'*4"!#;$"2L)[[iaKA6!#;$"2PQUzl;_9"!#;$"2Y"4UxNKo6!#;$"2Z:p-_U;>"!#;$"2A\eupp^@"!#;$"2-zv`B,*Q7!#;$"2a&RpzJ$GE"!#;$"2H88$*\hpG"!#;$"1.`O!4#G68!#:$"2X%\F!y!zN8!#;$"1A%o=L$[g8!#:$"2()pCvWb`Q"!#;$"2`)*fLx-/T"!#;$"1a*QM!4iN9!#:$"2c;0SQ05Y"!#;$"2QOBxr^l["!#;$"2)ek#zObA^"!#;$"2B,gGw6"Q:!#;$"0:<**H;Tc"!#9$"2N*p&)\VE!f"!#;$"2ly**4E^lh"!#;$"2x.#RjB(Hk"!#;$"2#>_$H(H_p;!#;$"2bkraR)>'p"!#;$"1L9#3$R*Hs"!#:$"2(*ekn([!*\<!#;$"2d]iH`Epx"!#;$"2RM8[?aS!=!#;$"2D3Os?$GJ=!#;$"2[9y$o)3'e=!#;$"2t)=CLl-')=!#;$"29PDscJN">!#;$"1EKdf$>6%>!#:$"1eNtE`yo>!#:$"2`B<c"\_'*>!#;$"1*4cngLV-#!#:$"1RpN<p?_?!#:$"2/R[USS,3#!#;$"1L"=nmH"3@!#:$"1(4Q#\.<O@!#:$"1'ovS9eU;#!#:$"2mA*y$z)Q#>#!#;$"2bA1O4e0A#!#;$"1WKo$*=w[A!#:$"2xYY75'*pF#!#;$"1ZBh#oc_I#!#:7S$"2;:l&*[IP1"!#;$"12mzX&*)e3"!#:$"2<;&3A<F36!#;$"2Kp%f%ot38"!#;$"2'>'fM+#p`6!#;$"2eMQh:Bn<"!#;$"1//'3`j**>"!#:$"2x"4;I%4MA"!#;$"2i%f\uq0Z7!#;$"2w5Kfg-4F"!#;$"2/#Q!>4U\H"!#;$"2dQJ!H:<>8!#;$"19J*p%oeV8!#:$"2FgWC"R=o8!#;$"2%z#yH`eHR"!#;$"1Tj6hk!zT"!#:$"2[6I$)RBIW"!#;$"2H1z!**\Io9!#;$"26^i[(ou$\"!#;$"20Rx#)fW$>:!#;$"2(R_22P4X:!#;$"2k)=@3(*)4d"!#;$"2_F$)=3Gqf"!#;$"2)\5a&G/Ki"!#;$"1R;)yv8&\;!#:$"22p-G#>&fn"!#;$"1f4K$>9Dq"!#:$"0yXa(f>H<!#9$"2Od-?n#*fv"!#;$"1c4S'o**Gy"!#:$"1.AMEC"*4=!#:$"2t8huIEq$=!#;$"1"e(*ovOU'=!#:$"1wGz;#R:*=!#:$"2i62x9H*=>!#;$"2t/`>.-k%>!#;$"2vwUoP`R(>!#;$"1'pVyry:+#!#:$"2BVS;it#H?!#;$"1v%*4*oLq0#!#:$"2')*R8eX&[3#!#;$"2$=hY1>t7@!#;$"1hVGa9mS@!#:$"2'oVzm*Q'o@!#;$"1(*4mc-m'>#!#:$"0RSj=@ZA#!#9$"2js+.n<GD#!#;$"2CnIrnX4G#!#;$"1E[`J754B!#:7S$"2B3Z)GS[s5!#;$"10C"yO!e%4"!#:$"2RZp9v'*o6"!#;$"2Ur9G#*H%R6!#;$"2<Fy=`w@;"!#;$"1@I#*QJ8&="!#:$"2WfKx@'H37!#;$"2D^#)*e@mJ7!#;$"26T)otsAb7!#;$"2))=Dnz()*y7!#;$"2b*3T!*)RHI"!#;$"2d(*["['zqK"!#;$"2mfA")4.9N"!#;$"2JdMq?1fP"!#;$"2D[')Q)[e+9!#;$"1:0z$)\VD9!#:$"2ch2=J_/X"!#;$"2;Z0oiKcZ"!#;$"2H&*H`kr4]"!#;$"1&p$[X]YE:!#:$"2UZ03Z3@b"!#;$"2&GU9Mv*yd"!#;$"2Ae@:#y#Qg"!#;$"2*oo(f*[*)H;!#;$"1l()Q,V4c;!#:$"2kxnic@Co"!#;$"2&\R^2A()3<!#;$"1`V8M<WN<!#:$"2J.:4lD@w"!#;$"2KHU?Y>*)y"!#;$"2mSoYn=e"=!#;$"2=&pT-)=G%=!#;$"2:EB)o`"*p=!#;$"2#[cq5R5(*=!#;$"2)pKY")*zV#>!#;$"2$>nHa"R<&>!#;$"2voZ`-x"z>!#;$"1MUv;#*o1?!#:$"2:Y='z8FM?!#;$"2xg$)o>>>1#!#;$"1^y6'QG'*3#!#:$"2bD-Aq%R<@!#;$"2Ns?*RR@X@!#;$"2'G)\k$>3t@!#;$"1KoutX*4?#!#:$"2xKM3yZ*GA!#;$"1O-)f`PpD#!#:$"03s(o)f\G#!#9$"1ZZ3i3,8B!#:7S$"2$y`7NAC"3"!#;$"2-:D."oF.6!#;$"1a-v;%Gb7"!#:$"2Jm*RrQ*z9"!#;$"2'z*[7!*p1<"!#;$"21#RIYJb$>"!#;$"10%QF;Sm@"!#:$"2zw6hUF*R7!#;$"21YfYL6ME"!#;$"2W\^E@)3(G"!#;$"2G"G"QJa4J"!#;$"1F(*zCe+N8!#:$"2DVE(o)Q#f8!#;$"2iiN(3&\OQ"!#;$"2_B2;vL#39!#;$"1v"*R^v)HV"!#:$"2Y89J"o!zX"!#;$"2AP'Q'R()H["!#;$"2n^#=>^A3:!#;$"2tU5:w:O`"!#;$"2sBI"p]:f:!#;$"2tthsvQ[e"!#;$"0P#G9Dm5;!#9$"2s<5a+Amj"!#;$"2F;mj(Gri;!#;$"2'e1,d2$*)o"!#;$"2mP[\Er_r"!#;$"2n)p44+tT<!#;$"2%eU@$f-$o<!#;$"2"[)y$>Y)\z"!#;$"1)4?9pr<#=!#:$"23M#H=%f'[=!#;$"2$R$*Q<Mkv=!#;$"2Xy%z<$>F!>!#;$"2M)[YjF))H>!#;$"2FIRjTHr&>!#;$"1\pPf\X%)>!#:$"20E8&*4b=,#!#;$"2(>f`qbKR?!#;$"274we8io1#!#;$"1DDJ"fgW4#!#:$"2#>henn6A@!#;$"2ZkAH`E)\@!#;$"1P<Y&z&ex@!#:$"1B.f00R0A!#:$"2k&*y"emBLA!#;$"1\(>ZH?6E#!#:$"2lwk`]P!*G#!#;$"1[S'3V%)pJ#!#:7S$"2s%H:5\+!4"!#;$"2u,p]ky>6"!#;$"2XEEzXmT8"!#;$"2ovMqBll:"!#;$"1#Q4Nyr"z6!#:$"283'=9G)>?"!#;$"2le=Y'\*\A"!#;$"1h/:#z/#[7!#:$"0Bd!z(3;F"!#9$"1-KvNL?&H"!#:$"2UfdS![)*=8!#;$"2_S90Y\HM"!#;$"2&G0w>N4n8!#;$"22XOz889R"!#;$"2(eR8;W!fT"!#;$"2=;vQSj0W"!#;$"2v@<E5'Ql9!#;$"/rFp%o.\"!#8$"2["3x>k]::!#;$"0YhD$ezS:!#9$"2Yk5AbKic"!#;$"1\x#HR7=f"!#:$"1n;6U6`<;!#:$"2nqzQc%QV;!#;$"1F%yDSo$p;!#:$"2wJriQyap"!#;$"2#4$)>I-r@<!#;$"2_D--kf![<!#;$"1aw6;B_u<!#:$"17q6bR4,=!#:$"1@/,b-xF=!#:$"2l1%\<paa=!#;$"2)eNM^'>9)=!#;$"2f8[b<%Q3>!#;$"2_,#QAiVN>!#;$"2%*G4/arD'>!#;$"1w*=u*ey*)>!#:$"2F5(G$3vq,#!#;$"2&>Fw7\VW?!#;$"2%z^<G7'=2#!#;$"1,+1-*\$*4#!#:$"1))4qRo*o7#!#:$"2VS'e")z\a@!#;$"2uExdI\@=#!#;$"2:'f=Io%)4A!#;$"22mjZh'ePA!#;$"2N=&fjZOlA!#;$"21;+pUxJH#!#;$"1o&RH!3-@B!#:7S$"2(3:fj=x)4"!#;$"2n9CHl&o?6!#;$"2DFPai5G9"!#;$"2=!4>QP9l6!#;$"1p&oP'=o(="!#:$"2$*3kIz@/@"!#;$"2V*[9Q-OL7!#;$"2#)3(=NQ\c7!#;$"2mMxu9>)z7!#;$"1NmZoEL.8!#:$"2/mS\#3.F8!#;$"2-#>4!)*44N"!#;$"228QoVm\P"!#;$"2O"=.Tk>*R"!#;$"2EwlZ='fB9!#;$"2O3*p4=;[9!#;$"23c3/T*)GZ"!#;$"1F+wP]x(\"!#:$"22[%H-Z"G_"!#;$"2WuBwP/![:!#;$"21XIQ+SLd"!#;$"2'3s'3\<))f"!#;$"2t"*\>sKWi"!#;$"2M>Spb"=];!#;$"2W-7d$)fgn"!#;$"2*>y\"Qj?q"!#;$"2L:4U+)=G<!#;$"2lfFP]HWv"!#;$"2T=hJn$y!y"!#;$"1R@1-jC2=!#:$"21n,'zJ"Q$=!#;$"1#z(p(4![g=!#:$"2/B#4aGC()=!#;$"2Ops`D(49>!#;$"23#p$*>"R5%>!#;$"2m0&*3Gk!o>!#;$"2U<2*)eo^*>!#;$"1PG&\"zMA?!#:$"0$)HI:)f\?!#9$"2dQzFA:p2#!#;$"2&f`.s]H/@!#;$"1"4&HzOtJ@!#:$"2(p(4h0F#f@!#;$"2BR#R\7x'=#!#;$"2tfTOMiV@#!#;$"2%y(zIY'*>C#!#;$"1dTqt(p'pA!#:$"2)*f\_[ytH#!#;$"2tGiI&)=^K#!#;7S$"2%R&)f7Ha26!#;$"2VOTMi(RH6!#;$"2*oWiz1Y^6!#;$"2LE>X5HP<"!#;$"1.\jR)*>'>"!#:$"2)*z#GZ(p)=7!#;$"2n(RJ8ctT7!#;$"1)zC*\Tzk7!#:$"2AUE&)*>/)G"!#;$"1VLnKdZ68!#:$"2#Hi/h=4N8!#;$"2uD%[Io))e8!#;$"2%z?1Hq&GQ"!#;$"2")\1#*y)*pS"!#;$"0"z%3R38V"!#9$"2'3;gk?yb9!#;$"23#R(\*fT!["!#;$"26F)eBj?0:!#;$"2'HiU_"\,`"!#;$"2xgyqaS_b"!#;$"2`v,+aw/e"!#;$"16UxLJ&eg"!#:$"27&*[VIm8j"!#;$"0a'H/?,d;!#9$"13X.mhy#o"!#:$"2u]Q]q%o3<!#;$"2YqII_.Zt"!#;$"2c7T6^Q3w"!#;$"2MsPIb&3(y"!#;$"2<,@!G0W8=!#;$"2MKzSJ**)R=!#;$"2/%3!4zdk'=!#;$"2QjQG%=6$*=!#;$"2/?D=Od)>>!#;$"2K0L-D!pY>!#;$"2b4yOU1O(>!#;$"1&piP"=g+?!#:$"2L^b2Psw-#!#;$"2%*H0i19[0#!#;$"2=4'[&*G-#3#!#;$"2nMr-)[H4@!#;$"1"zM42Em8#!#:$"1&)e()[D,k@!#:$"2j,o(G/X">#!#;$"2(4xsge$*=A!#;$"1.LSK]YYA!#:$"14<)4<MSF#!#:$"2a57^aR;I#!#;$"2laXnYx#HB!#;7S$"2DsR9)yJ;6!#;$"2#*3'RaV6Q6!#;$"2>xB-R;,;"!#;$"2K\#Gw5K#="!#;$"2d>%e?as/7!#;$"2([?MajKF7!#;$"2(*y)eM27]7!#;$"2^AgoM0JF"!#;$"2NbRz!pF'H"!#;$"287e'o?j>8!#;$"2E>[nTnJM"!#;$"1nJuz%zoO"!#:$"2Ju?zsk2R"!#;$"2EQ%Gx&>[T"!#;$"2&y%yDRS!R9!#;$"0cK.\BMY"!#9$"2)**)H>9lz["!#;$"2#yepw:m7:!#;$"27W,])*3v`"!#;$"2`2x8_.Dc"!#;$"2.qKwITwe"!#;$"2"G*yfV=Hh"!#;$"2bAX@(4LQ;!#;$"2(f0\e\(Qm"!#;$"2/5-rTY&*o"!#;$"2R!y(GNT`r"!#;$"1&f)ecdDT<!#:$"1vg"zg&Gn<!#:$"2Nyh%yoU$z"!#;$"2M1CZ`v'>=!#;$"2$)yQ5aFg%=!#;$"2dJ![i)yC(=!#;$"2<1>xYD!**=!#;$"2<SK=Ljc#>!#;$"1Gb1R%)Q_>!#:$"2eDRby'>z>!#;$"2$H<!>Q%31?!#;$"2(Q7#fDZI.#!#;$"2C\<]X"3g?!#;$"1J)G([I=(3#!#:$"2P+868[V6#!#;$"1%RzI#GdT@!#:$"2Cf]YF`)o@!#;$"1<::nc='>#!#:$"2.NC`@mNA#!#;$"2`zn$p6*4D#!#;$"2nE**o"oXyA!#;$"2F$)Q[[ffI#!#;$"2$yQ@Tb\LB!#;7S$"2U6D6g'4D6!#;$"2sMp8lNo9"!#;$"23v*)e`x(o6!#;$"1p+#QS>4>"!#:$"2&yaOF$eK@"!#;$"2OSUUI"zN7!#;$"2)[V=g_^e7!#;$"2e")4:0F9G"!#;$"2iJ[xYBXI"!#;$"1&G?VB,yK"!#:$"2*)zm_,d7N"!#;$"2"G[-;u)[P"!#;$"2ovVi)*)o)R"!#;$"1j)QEAeEU"!#:$"2#Gu(=d"zY9!#;$"2F3$\La3r9!#;$"2k2CG;Ob\"!#;$"2W1rR2S,_"!#;$"1v+xUM*[a"!#:$"2@Kw(4Dzp:!#;$"2[caK[L[f"!#;$"28qr@a7+i"!#;$"1\u=ReKX;!#:$"2u')QO]p2n"!#;$"2hk9XkRjp"!#;$"1E^T`B.A<!#:$"1'3%\2P%yu"!#:$"2FSyBxpPx"!#;$"2n#=10m!)*z"!#;$"2m;pnD]f#=!#;$"27I(yvn>_=!#;$"2%o&f-@U&y=!#;$"2$f,%4h#)\!>!#;$"2(p_!R.9:$>!#;$"1Zz@VD8e>!#:$"2ohVN@M[)>!#;$"2WX8F8:;,#!#;$"2P$HB/9ZQ?!#;$"2B#Ht\"*Rl?!#;$"2X,h8^%R#4#!#;$"2wr5Tl`%>@!#;$"1jk3oFdY@!#:$"2:U-22[P<#!#;$"2/M8)3e(4?#!#;$"1JdxgADGA!#:$"2U)yVQPdbA!#;$"1tt0*eOHG#!#:$"2F'[9(>P.J#!#;$"238Li)>xPB!#;7S$"2uKn!4*yQ8"!#;$"2#=SNF8cb6!#;$"2y-[P!RWx6!#;$"2oQXq%Q_*>"!#;$"1-=W"H)z@7!#:$"2%["p))HkUC"!#;$"2_'[Rh)=pE"!#;$"2Nb!o.*e(*G"!#;$"2d+'\&G"y78!#;$"2>![G/G)fL"!#;$"2Zcxx>g$f8!#;$"1#*)[m95HQ"!#:$"2j*R@x#HmS"!#;$"1_4;kT^I9!#:$"2v]9LLhXX"!#;$"1.uUkswy9!#:$"2v+&*RRGJ]"!#;$"2UG*3=6kF:!#;$"2:*y?&z,Bb"!#;$"2iUM"\n5x:!#;$"2-q0=F_?g"!#;$"2=0#=EY8F;!#;$"2(Gn6\+N_;!#;$"2tQ?Uv%px;!#;$"2s%orM\;.<!#;$"28G'GmnvG<!#;$"2G7#*)4kYa<!#;$"20)ze9+H!y"!#;$"2K.,.sBi!=!#;$"2EP)egOEK=!#;$"2T#HOlfSe=!#;$"2)=cejnk%)=!#;$"2xn?f=#)4">!#;$"2E)3Nn$3u$>!#;$"2'**)\(\9#R'>!#;$"2*4)3We<0*>!#;$"2W79X$H><?!#;$"1:ZdxO%R/#!#:$"2k:&z2gwq?!#;$"2$>KRQhl(4#!#;$"1$GfQI5Y7#!#:$"2/ib@wC;:#!#;$"2Ol`oz&py@!#;$"1Gu?>(>e?#!#:$"1L;;qG*HB#!#:$"2Nu#HA;@gA!#;$"1z=o"QsuG#!#:$"1L#=(*erZJ#!#:$"2a*>$[s0@M#!#;-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""$6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q'&#963;6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"r6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q0Price~of~a~Call6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%+LIGHTMODELG6#Q(LIGHT_36"-%+PROJECTIONG6,$")(*****\!")$!)x1rq!")$")(*****\!")$")(*****\!")$")x1rq!")$")(*****\!")$!)x1rq!")$""!!""$")x1rq!")$"#5!""-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$S%!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%!o$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%+P!""-%)CHILDRENG6"Ig== S;

SSJTRzYi

: Explore:-Runtime:-Update( plot3d(C(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Price of a Call"), ':-Plot1', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider3', ':-Slider4', ':-Slider5'], ':-labels'=[':-Label3', ':-Label4', ':-Label5']); K;

SSJLRzYi

: Explore:-Runtime:-Update( plot3d(C(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Price of a Call"), ':-Plot1', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider3', ':-Slider4', ':-Slider5'], ':-labels'=[':-Label3', ':-Label4', ':-Label5']); T;

SSJURzYi

: Explore:-Runtime:-Update( plot3d(C(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Price of a Call"), ':-Plot1', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider3', ':-Slider4', ':-Slider5'], ':-labels'=[':-Label3', ':-Label4', ':-Label5']); LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=JSFH JSFH Step 3. The Delta of the Option The Delta of an option or a portfolio of options is the sensitivity of the option or portfolio to changes in the value of the underlying 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 %; -%'PLOT3DG6--%%GRIDG6%;$""&!"#$"""!"";$"""!"#$""&!"#7S7S$"1Vu)=$ReDp!#;$"0'QW"oN`0(!#:$"1:!)f23]#=(!#;$"1,8(z"z&pI(!#;$"1PWTTcfGu!#;$"0awj'GJZv!#:$"1H>f<*=Im(!#;$"1(378nLcx(!#;$"1r(4)4w3&)y!#;$"1vGO;=K"*z!#;$"1=;Q7zG%4)!#;$"1K5xQz%R>)!#;$"1Ed,%=u-H)!#;$"0[M='*[KQ)!#:$"1rJdTV'GZ)!#;$"1`ayM=7f&)!#;$"1k))oT?.U')!#;$"0Oy8E9;s)!#:$"1)=I)pg*yz)!#;$"1E\$)pG"4())!#;$"1%phqT22%*)!#;$"1KcZE$Ht+*!#;$"1Z+JjX$32*!#;$"1&HNF#\GJ"*!#;$"/(pA]Z()=*!#9$"1c#[3<%HV#*!#;$"1iJIQ5+&H*!#;$"0#>#)Gz%RM*!#:$"1)\N<'y@!R*!#;$"1M^vUl*QV*!#;$"0nD&o=2v%*!#:$"1^')4ZM$Q^*!#;$"1dSlO@F]&*!#;$"1A(=XgzWe*!#;$"0oX#3za;'*!#:$"1C]B+"plk*!#;$"1vj4d[ju'*!#;$"1\)yY8O3q*!#;$"1u&G%\GED(*!#;$"01zke.![(*!#:$"1`yjM`9p(*!#;$"1)z0#[Kx)y*!#;$"1DSNN/(p!)*!#;$"1n,fsx"Q#)*!#;$"14&pYu$RR)*!#;$"1**)\"4Vx`)*!#;$"1Z7l%yKq')*!#;$"1$eh<wR#z)*!#;$"1'zJa.j/*)*!#;7S$"1rlQ_(Rv*o!#;$"0"4RoO>Dq!#:$"10xz_SR]r!#;$"0:QH`CIF(!#:$"1wy\**y(HR(!#;$"0rSiLc,^(!#:$"1NtC&frWi(!#;$"12,u<^%et(!#;$"1EI*453U%y!#;$"1*zQA^,&\z!#;$"0Fz30w;0)!#:$"1Htng?p]")!#;$"0iaRR>lC)!#:$"1")p8Is8R$)!#;$"1xeF^Q`G%)!#;$"1AwUxjq9&)!#;$"1^3*\Ygwf)!#;$"1Q`Gr*4un)!#;$"1B=!))ewRv)!#;$"1_=m_%*QF))!#;$"1A+!\s%o(*))!#;$"1)4=#f^!\'*)!#;$"1PG')\'*4H!*!#;$"1A)[#oFK!4*!#;$"1jX)3HM'["*!#;$"1c"o?s)4/#*!#;$"1b"*p9[yc#*!#;$"0.4C4lnI*!#:$"1;f/w`6a$*!#;$"1>OO<V"*)R*!#;$"1'\iD%HCT%*!#;$"1lS63U="[*!#;$"1GZ2rD#)=&*!#;$"1Z,'edVUb*!#;$"1AH@fM`(e*!#;$"1d_&[xy(='*!#;$"1W#y!Rg1['*!#;$"0v"G)R"[v'*!#:$"1NqC>.6,(*!#;$"1F%*p-t.D(*!#;$"1%y-0iXtu*!#;$"1fGiwq6o(*!#;$"1zS!=zJuy*!#;$"1k^s6!o`!)*!#;$"1mUBQ>+A)*!#;$"19X6$e2u$)*!#;$"1xmpVml^)*!#;$"1Tr^*R=[')*!#;$"1`o6H'fp()*!#;7S$"1z\,@"y1(o!#;$"1:G=lvG'*p!#;$"19iI3tc>r!#;$"1>>)R!eSSs!#;$"1\;!y*)*pet!#;$"1o9oZ]Nuu!#;$"1%oqf\&G(e(!#;$"1NvH$R9up(!#;$"1/_ZuQn/y!#;$"19w9(30!4z!#;$"1Qc>u"e.,)!#;$"1>vC6Ap3")!#;$"10.%45vR?)!#;$".feU$='H)!#8$"11]LiAI&Q)!#;$"1,J^d\Kr%)!#;$"1<dHsGDa&)!#;$"1.K%H4&4M')!#;$"1_%[U6o3r)!#;$"14KJ(\&f%y)!#;$"1NA.0vIb))!#;$"1'pR%=2/B*)!#;$"0b!4Pw$y)*)!#:$"1#oSmEY(\!*!#;$"1/<v'p>)3"*!#;$"1$)RQsc6l"*!#;$"1aTXhhp=#*!#;$"1`[s@pip#*!#;$"1O\mpq(zJ*!#;$"1m?(Ql=QO*!#;$"1.r[NiA2%*!#;$"1DY&yZw#[%*!#;$"1Zy\Zx/([*!#;$"09#GG(>O_*!#:$"136W]I2e&*!#;$"1[c$f$*)[!f*!#;$"1/9Th)[4i*!#;$"1Lc")RU`\'*!#;$"1$4L:7Ejn*!#;$"1jNq:\S,(*!#;$"0)G>K,&[s*!#:$"1dk]W,uY(*!#;$"1)RgP(>:n(*!#;$"/:m$4hhy*!#9$"1m_Hc7%Q!)*!#;$"1A,QQVE?)*!#;$"1F$=v?+b$)*!#;$"1R(eyg;'\)*!#;$"1^Z[k!zE')*!#;7S$"1w!)yL$Q\%o!#;$"1*z`]kb&op!#;$"1xMk0'e**3(!#;$"1x,D+./4s!#;$"1%G]3^,dK(!#;$"1Qc@F4&)Ru!#;$"1^*oYJ09b(!#;$"0-d*Q'*Ggw!#:$"1D;V[rVmx!#;$"17[.9%*ypy!#;$"1P1)yK'Hqz!#;$"1(42:1;z1)!#;$"0jO^)\hi")!#:$"/2`\vOa#)!#9$"1y)\A8cJM)!#;$"07N.&3(*G%)!#:$"1)42;M4=^)!#;$"1%)o$p^w;f)!#;$"1)*H(fG%eo')!#;$"1Nf"*e7bU()!#;$"1F<,FCg8))!#;$"1\6\C)o<)))!#;$"1-6rur3Z*)!#;$"19.EB&*f4!*!#;$"1pLxgGNp!*!#;$"1Aq:Q()RE"*!#;$"1y5(o(Gz!=*!#;$"1zb#ox%fK#*!#;$"1hoNCt'=G*!#;$"1`-j-knG$*!#;$"1zyo104t$*!#;$"1$\=_O!=:%*!#;$"12Q(4d=]X*!#;$"1Lef@#zE\*!#;$"1>BXsvBG&*!#;$"1^f!Hqp<c*!#;$"04ps>_Lf*!#:$"1<-_T=1B'*!#;$"1=[oO`(4l*!#;$"1Q6hH!prn*!#;$"0&Rqh'=<q*!#:$"1zp,O"*pC(*!#;$"0()[HI%=Y(*!#:$"1z$RYwYiw*!#;$"1^I-)pd\y*!#;$"0Anjp'Q-)*!#:$"1Q6+H;g=)*!#;$"1uI$)=&oO$)*!#;$"1.M:P9lZ)*!#;7S$"1n6xqNE?o!#;$"1`]om*R>%p!#;$"18nT(e4:1(!#;$"1mTPa*p)yr!#;$"1DTbfc#RH(!#;$"1H01m&)e1u!#;$"1r*R1(zx;v!#;$"1C20G2UCw!#;$"1iONP8XHx!#;$"0^y/*>"=$y!#:$"1L\n$e_9$z!#;$"1nLq#pI$G!)!#;$"1NC&G^6C7)!#;$"1cr3lxm8#)!#;$"/F$)p&z?I)!#9$"1k73!HMwQ)!#;$"1wKnXjKq%)!#;$"12vu+q:]&)!#;$"1&pxk7Mri)!#;$"1WVJT>F,()!#;$"1%)4.J2fs()!#;$"1n=$4b;6%))!#;$"1<hh74)o!*)!#;$"1C#4xX?*p*)!#;$"1y"p4iw-.*!#;$"1$\^^G&*z3*!#;$"1Bc(*Hk7V"*!#;$"1ZoZxPs&>*!#;$"1(p_fVWeC*!#;$"0.CYa[NH*!#:$"1'QG5#*)*)Q$*!#;$"0U\Irg>Q*!#:$"1ZBOd5!GU*!#;$"1AL%fu)[h%*!#;$"1m<:-R4)\*!#;$"0k]xm(oK&*!#:$"1`C3->Ml&*!#;$"12$pW*)Ghf*!#;$"1Fav!4@^i*!#;$"1b<wM3R_'*!#;$"1rbFD,,y'*!#;$"1bZ0*Q]?q*!#;$"1Py=qAeC(*!#;$"1$z<gVvcu*!#;$"1A4r*R)Rl(*!#;$"1tHVf$=Qy*!#;$"1<G)R0,5!)*!#;$"1*3JYj5q")*!#;$"1`m"Gb4>$)*!#;7S$"1Brl51g'z'!#;$"1X"y^6'Q;p!#;$"1zH$GGlT.(!#;$"1Hv/!))R)\r!#;$"1y!*fx"=LE(!#;$"1#>[69:XP(!#;$"0Emze_L[(!#:$"1$=O'4$f(*e(!#;$"1C#Q2;rOp(!#;$"1@?w86.&z(!#;$"1)**32G*y$*y!#;$"/E1-H!**)z!#9$"0k2SIOL3)!#:$"07r\#31u")!#:$"1oZt7Z0i#)!#;$"1VI`$*HIZ$)!#;$"16up9tzH%)!#;$"1e*QDwN&4&)!#;$"1;\FdE_'e)!#;$"1p-!pKo2m)!#;$"1%)R)>'))GK()!#;$"1<&GM&e5,))!#;$"1%Ht_6Ys'))!#;$"1Jmk%RT2$*)!#;$"1lp(42G;**)!#;$"1$\kl%o%*\!*!#;$"1*[(eICu0"*!#;$"1=qd=K1f"*!#;$"1`xLp4'*4#*!#;$"1<VA"[!\e#*!#;$"1FCgp#4ZI*!#;$"0"GBZsn[$*!#:$"17d@4kX!R*!#;$"0cDS_5,V*!#:$"1l-0K[qn%*!#;$"1"=HHv0L]*!#;$"1^)fGg!)p`*!#;$"1Oh"HK(zo&*!#;$"0O#H>U#))f*!#:$"1Y"firHri*!#;$"1W"*[A@y`'*!#;$"03&G6%\)y'*!#:$"1[)>^,*R-(*!#;$"1$yzZj(\C(*!#;$"1w!)Gj5@X(*!#;$"1opnCSgk(*!#;$"0ruv-SFy*!#:$"1kxZL7o*z*!#;$"1#f*[R$)[:)*!#;7S$"1MNdn&**Qx'!#;$"1L!*[gH%=*o!#;$"1;Z'\*Q(y+(!#;$"1a5%[>)*=7(!#;$"1mw*enFQB(!#;$"1(oSlK!eVt!#;$"1L1Ne/3^u!#;$"1mKCE)eib(!#;$"1T$)>=F0fw!#;$"1&\5Z,1%fx!#;$"1Q'4$=#ps&y!#;$"1<bo`%*f_z!#;$"1>)G"R/OX!)!#;$"1D/<IC_N")!#;$"1LuXO@1B#)!#;$"0r]IhizI)!#:$"1<6YFJ@!R)!#;$"1(egQ+4)p%)!#;$"1*p3gW^na)!#;$"1u^_St/@')!#;$"0G8A/4Fp)!#:$"14$)>VTvh()!#;$"1_#*oF_?G))!#;$"1w1?9'*3#*))!#;$"1ob3(3RM&*)!#;$"1&\H#>'*G7!*!#;$"/>u(3"oo!*!#9$"0w_W)plA"*!#:$"0l#)H7kU<*!#:$"1NC5WBbB#*!#;$"0NO5Au0F*!#:$"0C!HmZQ:$*!#:$"1Ka]T6/e$*!#;$"0'4vrBg)R*!#:$"1%Qrb1HrV*!#;$"1Yv+UJot%*!#;$"02.dcF$3&*!#:$"1\<5"4E6a*!#;$"0EJm,V@d*!#:$"1L"e'\HW,'*!#;$"1()y)Ge!4H'*!#;$"1&yuF[]^l*!#;$"14tR!*ooz'*!#;$"1a/:NNw-(*!#;$"1&p.:YVWs*!#;$"1Pc(*o))yW(*!#;$"1*=$Ql4'Qw*!#;$"1=ZLL)><y*!#;$"1RW&)4VU)z*!#;7S$"1AT_[O6_n!#;$"1T![DVi#oo!#;$"1^g#**f'e#)p!#;$"1y#G%\e*\4(!#;$"1F$\tS0a?(!#;$"1t3f)>OPJ(!#;$"1/\#3*\"*>u!#;$"0Uv9^uQ_(!#:$"12AVPNbDw!#;$"1uIedp*[s(!#;$"1$o>%3e&=#y!#;$"1x^8$G(Q;z!#;$"1[&)y9ZX3!)!#;$"1U"fU`F!)4)!#;$"1nW&Q?"3&=)!#;$"1#Gkv7(fp#)!#;$"1(3t!RDc^$)!#;$"1%*3vo.(4V)!#;$"1uz$44>y])!#;$"/C#Hb7@e)!#9$"16-3(yfQl)!#;$"1c_q2[2B()!#;$"1w25%Rw(*y)!#;$"1pj`hy)R&))!#;$"1,Ip@ot:*)!#;$"17`AM\0v*)!#;$"1[[1^w(>.*!#;$"1E22bRa'3*!#;$"1vjg%4'zQ"*!#;$"1,Ae:$z()=*!#;$"1ZjX#fTlB*!#;$"1\*G'fL8#G*!#;$"1*=+YC2cK*!#;$"1T6>/y,n$*!#;$"1-"[]E@kS*!#;$"1.!o&p_(QW*!#;$"1-]HG'Q%z%*!#;$"12vuz5<8&*!#;$"1l8aeI8X&*!#;$"1X-esaQv&*!#;$"1x#))**[*)Rg*!#;$"0%\OOj+J'*!#:$"1fo%G5(\c'*!#;$"1s)o`cA0o*!#;$"1T`U:I9.(*!#;$"1"HXD5=Ws*!#;$"1e.h)o1Wu*!#;$"1$>kSrmJw*!#;$"1tf)f2b2y*!#;7S$"1Z=#*H*)>Jn!#;$"1Q-?7$*fXo!#;$"1#4qyNd#ep!#;$"1'=')RY'3pq!#;$"1@AeL^+yr!#;$"1">du8P\G(!#;$"1$ew=l6)*Q(!#;$"1T+#>PjD\(!#;$"1=$f.gKJf(!#;$"1,457`Y"p(!#;$"1X\P%>8vy(!#;$"1aZ*HmL7)y!#;$"1*)*[^&)*esz!#;$"1h%>$*f]:1)!#;$"1f9/j.4[")!#;$"1A"R$z"*=K#)!#;$"1C`x_D$QJ)!#;$"0'G:Y8,$R)!#:$"0D"**[;sp%)!#:$"1O.)*GY'Ra)!#;$"1o#ywOYdh)!#;$"1Fnx"ox]o)!#;$"1#\+8$R(>v)!#;$"1i>9;[X;))!#;$"1>KNiTay))!#;$"1"4I'*pp#Q*)!#;$"1hOUJGm&**)!#;$"1Ud5*Re20*!#;$"1nhfTWf."*!#;$"00K=&>@a"*!#:$"1#*GUJYl-#*!#;$"09"zW'o*[#*!#:$"1ui/uB?$H*!#;$"1PFyvhSN$*!#;$"1*)z#49KcP*!#;$"1'G)peQ$RT*!#;$"1/ok&=m.X*!#;$"1m?r?])\[*!#;$"1^a4(3Zy^*!#;$"0[:<s4!\&*!#:$"17T!HnI&y&*!#;$"1$[Fp!zY1'*!#;$"193$QUzGj*!#;$"1$RDI3Byl*!#;$"1E`&*QkN"o*!#;$"1UI5(eONq*!#;$"10r^?+UC(*!#;$"1wE(p\iSu*!#;$"1Ec!o"*=Dw*!#;7S$"1W=u^T66n!#;$"1OT0P5"Q#o!#;$"1Q>aNF%[$p!#;$"19IAsh7Wq!#;$"1du*[*He^r!#;$"1kC*psRrD(!#;$"1)G@))*ysgt!#;$"12u)p:%Giu!#;$"1Fuz^.vhv!#;$"1"HxEgt!fw!#;$"1D^rTj?ax!#;$"1B%zbL1r%y!#;$"1N=='oOx$z!#;$"1B*p0"e1E!)!#;$"1<[k+u17")!#;$"1y=Sj.s&>)!#;$"18#)[U(3qF)!#;$"0#)e>i@fN)!#:$"1xF>8IXK%)!#;$"1p:+E<g1&)!#;$"1%fB]Ar$y&)!#;$"1\8bs%pxk)!#;$"1))3)*e(3[r)!#;$"1^q5Ab]z()!#;$"1L@^c,)=%))!#;$"1W3J9o&>!*)!#;$"1l._)>j(f*)!#;$"1R;K].L:!*!#;$"16nYJCpo!*!#;$"1vv1.l))>"*!#;$"1F`(>I_*o"*!#;$"1PU#f,Kf@*!#;$"1=Zde+(3E*!#;$"1"*GaXG"QI*!#;$"0P_Cd3[M*!#:$"1'3()f*p!RQ*!#;$"16O')=#f6U*!#;$"1jndzuhc%*!#;$"1ybqZ\L!\*!#;$"1ut\DbOA&*!#;$"01xjljFb*!#:$"1"4d49%e"e*!#;$"1i:0h>))3'*!#;$"10k77@rM'*!#;$"1,laW%H"f'*!#;$"1r6"R^)=#o*!#;$"1P9qSM%Rq*!#;$"1tpRzxWC(*!#;$"1.u:(RaPu*!#;7S$"1vV!z_?=p'!#;$"1(H78_dG!o!#;$"1$*3+S<I7p!#;$"1'3]KZt+-(!#;$"1dRG%Q(4Er!#;$"1uxbaEIIs!#;$"1urm3JiKt!#;$"1lSh>t*HV(!#;$"13&zUpo8`(!#;$"19$o!RboFw!#;$"1aF!e5,>s(!#;$"1\D0=O(R"y!#;$"1&=&>yi'Q!z!#;$"1FAgbsa"*z!#;$"1b`Wc'*)p2)!#;$"1)32dZr,;)!#;$"1ju1Kb2T#)!#;$"0%pT'Q*o>$)!#:$"1P!=[C0gR)!#;$"14L!o%)>+Z)!#;$"1FW&*RVtT&)!#;$"1VmvTT:6')!#;$"16Ww*y)Gy')!#;$"1/t9"y^Ju)!#;$"1*z5FSgd!))!#;$"17R]_b8m))!#;$"1*3NTb,V#*)!#;$"1D)>\'fG!)*)!#;$"1ux(*y$>T.*!#;$"0m%QE_$e3*!#:$"1uZYp&pa8*!#;$"1%H%G(*31$=*!#;$"16RP>*\'G#*!#;$"1p@nf$zAF*!#;$"1w!R;v$*RJ*!#;$"1,GWN#RQN*!#;$"1$=s!eL'=R*!#;$"1OR<x[6G%*!#;$"0#oNpNki%*!#:$"1%\YO/+b\*!#;$"1VRrgbtE&*!#;$"1/*Q%e=Sc&*!#;$"1<rI%)4b%e*!#;$"1`x2N^B6'*!#;$"1`]4/l]O'*!#;$"1OlbOrTg'*!#;$"1P)*)Hz=Io*!#;$"0FJ6#GO/(*!#:$"1eAMO+]C(*!#;7S$"1Deer:Gtm!#;$"1<bm))4q#y'!#;$"1<\/jcf!*o!#;$"1G)Q84*)o*p!#;$"1K!)4E)3:5(!#;$"0wQ>h'Q/s!#:$"14![U]eaI(!#;$"1bh?q\m/u!#;$"1*>p>(4&>](!#;$"1&H`>.msf(!#;$"1HFE!Gk0p(!#;$"1e%*R%[/=y(!#;$"1We[h+&4(y!#;$"0'HKt!pz&z!#:$"1GHp/U$G/)!#;$"1FfRDF_D")!#;$"1v"*eOk,1#)!#;$"0nm?g,VG)!#:$"1vQ=l)o.O)!#;$"1)4">_J@M%)!#;$"0*>ziN$e])!#:$"1J+z[KBv&)!#;$"1L_s"G>Ck)!#;$"1UfV5DS2()!#;$"1#>1&4u>q()!#;$"10!y&>>#3$))!#;$"1$*)>0G(H*)))!#;$"1\"[%eykX*)!#;$"1%\'fn4!****)!#;$"/@-)o'3_!*!#9$"1fE7!oPA5*!#;$"1t.#p**)Q]"*!#;$"1DR/&*yd'>*!#;$"1Q3JXO%3C*!#;$"1K$yPMFKG*!#;$"/J4C<xB$*!#9$"1o)G>(4_i$*!#;$"1LeDU0_*R*!#;$"1\$Q,)p"[V*!#;$"1PxqXxXo%*!#;$"1d]!R/"\+&*!#;$"1:f`fc'4`*!#;$"1"HD")zI*f&*!#;$"1td+LfV(e*!#;$"1*==!f1`8'*!#;$"1V#\Jbk#Q'*!#;$"1erPUqoh'*!#;$"1&oV*ys%Qo*!#;$"1K)>K-%z/(*!#;7S$"1L\CMHYbm!#;$"11lN<eIjn!#;$"1A4#e$zopo!#;$"0/vM%e`up!#:$"1&)*)yf)zx2(!#;$"1-XC)>a$zr!#;$"1J4-zq>zs!#;$"1h#Rd#3Dxt!#;$"1)*G5Y>Ytu!#;$"1><O'>"ynv!#;$"1*R7'HO;gw!#;$"13O.G'o0v(!#;$"0*oB>*f*Qy!#:$"10W*pd0`#z!#;$"1)f"o1!y&4!)!#;$"12a%e"Rv"4)!#;$"1CzPqU"=<)!#;$"1%QRoBW(\#)!#;$"14Q`6J`D$)!#;$"1UZ*pBu"*R)!#;$"1ise1\mq%)!#;$"17a(zD1+a)!#;$"1<:CcJ?2')!#;$"1[_ZnSEs')!#;$"0dvO#4?N()!#:$"1T&G)z*Ggz)!#;$"1fp.kmwa))!#;$"1Wke@aV6*)!#;$"1kR$Qbfg'*)!#;$"1u=!G0m'=!*!#;$"0#>NKWGp!*!#:$"0#)*zcl%z6*!#:$"1pF"yY'ok"*!#;$"1G%4/@S&4#*!#;$"0%[&)eca_#*!#:$"1R?@VBu$H*!#;$"1U!ysFrJL*!#;$"1vXf)yu3P*!#;$"1WT=^j*oS*!#;$"1)*)>;U!GT%*!#;$"1FQ**yA2u%*!#;$"1BAIpyJ0&*!#;$"0'3saO1N&*!#:$"1$3&>okNj&*!#;$"1A@stLC!f*!#;$"1UalK:x:'*!#;$"1&[8j2))*R'*!#;$"1G$G^)*RHm*!#;$"1$)R_uRn%o*!#;7S$"1Y,CdALQm!#;$"1*p`lRQYu'!#;$"01yI*Ra\o!#:$"1)HHX^yH&p!#;$"1L$)))G\([0(!#;$"1uMVD)p^:(!#;$"1$Q=;_.QD(!#;$"1Phbb,s]t!#;$"1Kv%RwneW(!#;$"1/)o`M)>Rv!#;$"12."*3zmIw!#;$"1CEB3lB?x!#;$"1h'z6Eoy!y!#;$"0[f^NJN*y!#:$"169dQ!)>xz!#;$"1sOi)fW)e!)!#;$"0vYfK^%Q")!#:$"1ChYmC+;#)!#;$"1h80hh["H)!#;$"1%*y]tV*[O)!#;$"1;E_2GAO%)!#;$"1uU@83Z0&)!#;$"1cX(RGTEd)!#;$"1WcJW0uP')!#;$"1;]YH#y2q)!#;$"1&onu:n<w)!#;$"1,4d%>B2#))!#;$"1ycn9^mx))!#;$"1sVk`WhK*)!#;$"0&HDf`f&)*)!#:$"06svVMm.*!#:$"1t<b'fgd3*!#;$"00qv)[+L"*!#:$"07!pX.Sy"*!#:$"1psMH=)>A*!#;$"1CL;geyj#*!#;$"1V!eNY]QI*!#;$"1Vhz5]@U$*!#;$"0RvI1?*y$*!#:$"1cbA=s+9%*!#;$"105bg*=vW*!#;$"180J9&)\z%*!#;$"1'*yG,(*)*4&*!#;$"1Di'G!o.R&*!#;$"1Lm(pU%om&*!#;$"0,^-QxHf*!#:$"1\imX0'zh*!#;$"1Of#fwy;k*!#;$"11[yKn<k'*!#;7S$"1n(**\.f=i'!#;$"1Xo@$*pmEn!#;$"1)G6l9J,$o!#;$"1ilzRP=Kp!#;$"0@b`FgF.(!#:$"1cX#pi*zJr!#;$"1%[&*49W#Hs!#;$"1tg4D(R]K(!#;$"1'3+H#f8>u!#;$"1A!og(f[6v!#;$"1&f&zso/-w!#;$"1<26$Qz2p(!#;$"1N\-"3[wx(!#;$"1Fyq`8iiy!#;$"1(39zRrc%z!#;$"1;1&R?un-)!#;$"1Hl_F&4f5)!#;$"0%3))\31$=)!#:$"1r6jE`@e#)!#;$"19<$esj8L)!#;$"1M&pdN+DS)!#;$"1n_1$)Hir%)!#;$"1^nnTFtQ&)!#;$"1CDVLS$Qg)!#;$"0;Y2UMpm)!#:$"1`:=7X/G()!#;$"0#[bTy<(y)!#:$"1Y)o7u]V%))!#;$"1%*Ge5Ae**))!#;$"10@_zP*G&*)!#;$"1X%H"p$4V+*!#;$"1Ypv[^&Q0*!#;$"1PK3"Rf:5*!#;$"1Z8`DBXZ"*!#;$"1$pV2*fc">*!#;$"12=v'3MRB*!#;$"1@`XF=fu#*!#;$"1w&**RzvNJ*!#;$"1jMh*yB4N*!#;$"1T$RkpumQ*!#;$"1L^&[Lo3U*!#;$"1@dvD`a`%*!#;$"1,jAcpu%[*!#;$"1^Z+\]^9&*!#;$"1;W4O=*Ga*!#;$"1E;&o$)>*p&*!#;$"1ug$3uTcf*!#;$"1<^n&H+,i*!#;$"0#p:+#QLk*!#:7S$"12()y)[9gg'!#;$"1&\"oG;O4n!#;$"1Oakm%=9"o!#;$"1OPh%*)>@"p!#;$"1DdFRQS6q!#;$"1@Vgp8@4r!#;$"1d["Gz'[0s!#;$"1F'Q&Qx<+t!#;$"1`[0J_B$R(!#;$"1GS[\Ph%[(!#;$"1G^!fFrUd(!#;$"1dvTJ$p@m(!#;$"1UiA+IF[x!#;$"1EQ)=%4bKy!#;$"0Ty=Rv\"z!#:$"1Fm!3:Ab*z!#;$"1d>Ui0<u!)!#;$"1%\%*3[.4:)!#;$"1,CmFsqD#)!#;$"1#H'HQ:d)H)!#;$"1oZ$)*\*[p$)!#;$"1wO3zuXQ%)!#;$"1L<SU]Z0&)!#;$"1**>_n[aq&)!#;$"1$G")zksOj)!#;$"1:!\2*p'[p)!#;$"1$yhwIRTv)!#;$"0l"G,P]6))!#:$"1lO!e%o(p'))!#;$"1s>kjyd?*)!#;$"1wUK)>GB(*)!#;$"1N6K%[^A-*!#;$"1w*HWTt.2*!#;$"07C`g@n6*!#:$"1hR'=YD8;*!#;$"1&3_2/;U?*!#;$"1(f&49fUX#*!#;$"1<$=M.*)\G*!#;$"1mBk%fSHK*!#;$"0)Q`/pJf$*!#:$"1=33\_:%R*!#;$"/ECkP\F%*!#9$"1;?[48Pf%*!#;$"1#**eWMF)*[*!#;$"0'\B4=!*=&*!#:$"1"H/$3]jY&*!#;$"0TP()\nId*!#:$"1.wo#)*R#)f*!#;$"19:[/K>A'*!#;7S$"1(3$>]9x!f'!#;$"1bhBkRp#p'!#;$"1i6ssmP$z'!#;$"1yft!*pv#*o!#;$"1BN%Q;v2*p!#;$"1$[E%pVP(3(!#;$"1(>]v!3]#=(!#;$"1^#R6y.hF(!#;$"/fJld8ot!#9$"1'>,eY_&eu!#;$"1#*>LmGJZv!#;$"1r))4l#zVj(!#;$"1U4E+tr>x!#;$"1.IkkfH.y!#;$"1*yo(4w3&)y!#;$"1K0VRz1lz!#;$"1#=RI*f@V!)!#;$"12?/>T^>")!#;$"1*yL(Qz%R>)!#;$"1&*[#3I1lE)!#;$"0ojrA"=P$)!#:$"1z=/]y'fS)!#;$"1b(R:MkGZ)!#;$"1*o#RN=(y`)!#;$"1eF)=M%*4g)!#;$"1:pFc'QAm)!#;$"1_([8E9;s)!#;$"0XKXAL"z()!#:$"1HfE!45[$))!#;$"11a3o<m))))!#;$"1"yNqT22%*)!#;$"1(yfpKo4**)!#;$"1%>Dszn%R!*!#;$"1@@W85B'3*!#;$"1)*GrA\GJ"*!#;$"1#yWz5eY<*!#;$"1&*4uh1Q;#*!#;$"0vo.1%[c#*!#:$"0/%GQ5+&H*!#:$"1w>nja'>L*!#;$"1&=Ra@7uO*!#;$"0vq?1x8S*!#:$"1;!RFa'*QV*!#;$"1Fa-^y+l%*!#;$"1*H*e@([Z\*!#;$"1****3?t:B&*!#;$"1V1kO@F]&*!#;$"1bH/$)=8w&*!#;$"1*oCSRv2g*!#;7S$"1.m^`U5wl!#;$"1;M,&>Pmn'!#;$"1L?1I!yfx'!#;$"1/n8zl1uo!#;$"1zo\0`%3(p!#;$"1(f42Tfi1(!#;$"148m?pDgr!#;$"1yl'=w)y_s!#;$"1bs#z#)3QM(!#;$"1rC/OSFLu!#;$"0;;NPW6_(!#:$"1BXDMHQ2w!#;$"1u9HXf&>p(!#;$"16PU$yK[x(!#;$"1h03#)f)f&y!#;$"1)*\fG7RNz!#;$"1r>3_t-8!)!#;$"1#Ho@Iw))3)!#;$"1nR&)=J#H;)!#;$"1k'=Q*e:N#)!#;$"1vy^Bdc0$)!#;$"1bBWam9u$)!#;$"1M+%4i&*3W)!#;$"0>BgP7e])!#:$"1PRg:%**)o&)!#;$"1F(=m*=;I')!#;$"1Gt^\vg*o)!#;$"1_Ng&eYsu)!#;$"1URs*f"4.))!#;$"1"o1)ou:d))!#;$"1LkvY7Y4*)!#;$"1a6@c?-g*)!#;$"1O]mx4')3!*!#;$"1WpXO4+c!*!#;$"1Em6)em95*!#;$"1h:b-UGX"*!#;$"1mdaZ:[(=*!#;$"0.G?x(3G#*!#:$"1o;b*GLrE*!#;$"1w0Ti'\YI*!#;$"1mtz'[p1M*!#;$"1X%*QziAv$*!#;$"1ZqslVN3%*!#;$"1X]sq()3S%*!#;$"1ppj6^Yq%*!#;$"1$HlP\>&*\*!#;$"1()z=4%)GF&*!#;$"1%)euQ'3Qb*!#;$"0j5v:<"z&*!#:7S$"1%G]jj))>c'!#;$"18Fc^f;hm!#;$"1,NUai>fn!#;$"1Z**))e;-co!#;$"1P10\ne^p!#;$"0xp"p'Qe/(!#:$"0K!40ssQr!#:$"1J["o&[?Is!#;$"1`P7-pA?t!#;$"1'RK6X^(3u!#;$"1T&G<\Rd\(!#;$"0$R(e#\:"e(!#:$"1oCz'fk\m(!#;$"1\y52$Qru(!#;$"1G9.G)[w#y!#;$"1X#Q(**=Z1z!#;$"16_5Bie$)z!#;$"1(3>IWt*e!)!#;$"18Z\B"=E8)!#;$"1RT([r2X?)!#;$"1"*eS8Dju#)!#;$"/(HNh&)HM)!#9$"1Qi@`Gc4%)!#;$"1vFt_FOu%)!#;$"1t]AZkQP&)!#;$"1rD_8wj)f)!#;$"1Kze"RA"e')!#;$"1vT/,$\er)!#;$"1<7A`"H=x)!#;$"1M5<f\2E))!#;$"1%=/T$=gy))!#;$"13Hq)*oUH*)!#;$"17\wx"p&y*)!#;$"1<&Hm\\g-*!#;$"1WE$eP!*=2*!#;$"11+VCf6;"*!#;$"10*=Ct^(e"*!#;$"1))yniZ#)*>*!#;$"1#3JGCj$R#*!#;$"1k%Hub'Rx#*!#;$"1ld#39bRJ*!#;$"1NE5r.2\$*!#;$"1U`RlWx#Q*!#;$"1*4JpP+^T*!#;$"01(3%p"3Y%*!#:$"01[<a_dZ*!#:$"1EQA&[ZT]*!#;$"1YN'pV,8`*!#;$"1rNGm&\sb*!#;7S$"1"zRwk,%[l!#;$"1*Q<&3iDYm!#;$"1M'[GU1Iu'!#;$"02%z"f'fQo!#:$"1&)ejFL(H$p!#;$"0xr'Qc3Eq!#:$"1_oC1])y6(!#;$"1\Nv`aK3s!#;$"1/fY2OO(H(!#;$"1f46\(e\Q(!#;$"1bo6gG2ru!#;$"1))H^d1nbv!#;$"1RP\@'>(Qw!#;$"16Ap9+>?x!#;$"1#yWK*[0+y!#;$"1d1w4,Hyy!#;$"0QU$3V([&z!#:$"1#[M="*)yH!)!#;$"1.j],"=I5)!#;$"1rGS*y[X<)!#;$"1,Oi$eqVC)!#;$"1bD"ouvCJ)!#;$"1Yh;["f)y$)!#;$"1;UG4#=NW)!#;$"1>%3U%GX1&)!#;$"1$f2SRlwc)!#;$"1DOGc0;F')!#;$"1"e#)*4`%\o)!#;$"1#G0f$)G5u)!#;$"1'[=LVAaz)!#;$"1*zsIVR"[))!#;$"1Ahj2^>**))!#;$"1`@Xylg[*)!#;$"12@.@FR'**)!#;$"1uW=oSdU!*!#;$"1)Q#y6F<(3*!#;$"108Y.A@I"*!#;$"1t3jaurr"*!#;$"0ouhj9<@*!#:$"1z(*>y5B]#*!#;$"1U[=q^H(G*!#;$"1T8'=EOHK*!#;$"1oo9lX=d$*!#;$"1%3Lu0r+R*!#;$"14O^'QF;U*!#;$"1.#>ux&)=X*!#;$"1z(39%*y3[*!#;$"1ZfM()*R'3&*!#;$"1H6nNB?N&*!#;7S$"0>KEc@``'!#:$"1t?")*>&)=j'!#;$"1'R"e!*[QFn!#;$"1U;SAqw@o!#;$"1iOCZ,)\"p!#;$"19<kh](p+(!#;$"1$*[ez[q(4(!#;$"1.o3)4Dr=(!#;$"1djIbO>vs!#;$"1H]7")4(=O(!#;$"1V&=,/?rW(!#;$"1ZH*oO14`(!#;$"1-ry$4)>8w!#;$"16](4(f'Rp(!#;$"1m>.zL=tx!#;$"18%eSLE3&y!#;$"1YV[&[to#z!#;$"18Yq1hI,!)!#;$"1#=A(y!3T2)!#;$"1*>,q'eEX")!#;$"1Acv"\oZ@)!#;$"1h3#>\2EG)!#;$"14k2$)ox[$)!#;$"1keg4JF8%)!#;$"1RxR"*\4w%)!#;$"1F]SlOCP&)!#;$"1[[RADs'f)!#;$"1G.BRr`a')!#;$"1"HOq?&p5()!#;$"1Otgbk?l()!#;$"1)QAWd#3=))!#;$"/LjIrLp))!#9$"1ijR%[&)*=*)!#;$"1Xe">qWq'*)!#;$"1KjcmM`8!*!#;$"1HrX))>Ze!*!#;$"1/oz7>)=5*!#;$"0,4uA'yV"*!#:$"0^U(p"4U=*!#:$"/*3P8wJA*!#9$"0Lqmd82E*!#:$"1Nz)o#*[oH*!#;$"1(>G<\5;L*!#;$"1n3"pOF]O*!#;$"1;p1Z$HrR*!#;$"1O(fy$o%zU*!#;$"1[j!*p2^d%*!#;$"1'4>Z^_e[*!#;$"0&4(G!Q+8&*!#:7S$"1`t8/ysAl!#;$"1[q%*R8.=m!#;$"1aSh8#4Br'!#;$"1L$HJ!)4b!o!#;$"1E&fc^$e(*o!#;$"16[0jG[))p!#;$"1xH#3`i"yq!#;$"1K1US%zl;(!#;$"1(=TZ!Gp`s!#;$"1ezqwTYRt!#;$"0"*44\dQU(!#:$"13fC)4Ro](!#;$"1#=sNzx$)e(!#;$"1taPO[Wow!#;$"1w@_kR,Zx!#;$"1#4g6ShS#y!#;$"0&e([&ec**y!#:$"1'yNK^3N(z!#;$"1V>')HI(e/)!#;$"1Gy@0bk;")!#;$"1/**HhW"e=)!#;$"1:4X53P`#)!#;$"1B(H&=yI>$)!#;$"1J)*oi5i$Q)!#;$"1aQ.%Q3jW)!#;$"1adUN)pt])!#;$"1TWvCw!oc)!#;$"1;N&R0EYi)!#;$"0`!4a9$3o)!#:$"1Dm%o6Kat)!#;$"1vHrA#Q%)y)!#;$"1mWBm<')R))!#;$"10Jjykr*)))!#;$"1MZ9[x,Q*)!#;$"1h8SQDy%)*)!#;$"12$*=0$H+.*!#;$"1j$4>"zxt!*!#;$"1\+1W&\g6*!#;$"11%eIimo:*!#;$"1t]q>FD'>*!#;$"1K8fnCBM#*!#;$"0)ftw9$3F*!#:$"1r'GxCwgI*!#;$"1dYk'3%**R$*!#;$"1=J)4-8EP*!#;$"1ky'orhRS*!#;$"1w_t(RpSV*!#;$"1X)>ZwlHY*!#;$"17F$*=4o!\*!#;7S$"1kxep3g5l!#;$"1R\$3:uYg'!#;$"0yrk2exp'!#:$"0jLT#H!)*y'!#:$"1p7dv3w!)o!#;$"1(p*)y3'eqp!#;$"1d">)eZBfq!#;$"1/!ze=lm9(!#;$"1[0K>y$GB(!#;$"1c3w3`r<t!#;$"1.]WVDE,u!#;$"1;,5'oYM[(!#;$"1H*p.?PUc(!#;$"1=O%=(egVw!#;$"1cvrAo_@x!#;$"1WB:?l(zz(!#;$"1F7TyP$H(y!#;$"1k#))[vzj%z!#;$"1'Rc,%zH=!)!#;$"1=i=UTn)3)!#;$"17e!\Y'\d")!#;$"1P-H"GbZA)!#;$"1im=,KW!H)!#;$"/o4M]ba$)!#9$"1sF:Zx3<%)!#;$"1Wd`=//y%)!#;$"0=)f'=9u`)!#:$"124'\>7_f)!#;$"14Z'Q`R9l)!#;$"1_N1yJ51()!#;$"1=Ab@>@f()!#;$"1eaU4jx5))!#;$"1)Rorc33'))!#;$"1$ozw_A$4*)!#;$"1h$GjbLj&*)!#;$"1cYMu%e=+*!#;$"/;%3[:f/*!#9$"1))4wtS_)3*!#;$"1n<.q\qH"*!#;$"1KFAD+[p"*!#;$"1fT'H:sy?*!#;$"1eYSW_!\C*!#;$"1;.'z3/1G*!#;$"1rIg*G%*\J*!#;$"1'fCR>-"[$*!#;$"13.?1[&*z$*!#;$"1jhm:(z0T*!#;$"0K3--0+W*!#:$"1`Dl_#f#o%*!#;7S$"1X^UjA#*)\'!#;$"1L6!Q>%z"f'!#;$"13G'[A6Po'!#;$"1^8lZaiun!#;$"1FAjT2\ko!#;$"1if#>%GE`p!#;$"1$H"3,%**3/(!#;$"1m/EX+OFr!#;$"0YHZU1E@(!#:$"1;&o&eAg'H(!#;$"1Y:atLJzt!#;$"1_d3Pxqgu!#;$"1MeS%[b2a(!#;$"1[$z'R*G%>w!#;$"1d@SJEq'p(!#;$"1*QC>I`Dx(!#;$"1i&[7"*fp%y!#;$"1Z;=NO!*>z!#;$"0m_z&yO"*z!#:$"1YgUf"Q81)!#;$"1e)eqH-)H")!#;$"1Emw#=]n>)!#;$"1u%y[&Q<i#)!#;$"1=nPXu1E$)!#;$"1i%HE9F%)Q)!#;$"1wr$)\6D\%)!#;$"0$[UR'R&3&)!#:$"1U7i.ZHm&)!#;$"1V`Z,._A')!#;$"1>kc-AAx')!#;$"1**3nFzSI()!#;$"1-Il'o'3#y)!#;$"1e&\QJpA$))!#;$"1P7A,#o4)))!#;$"1`KaHs>G*)!#;$"12y!zprR(*)!#;$"1e!4=D3$=!*!#;$"1u$y+"[Ah!*!#;$"0#Q$4\SF5*!#:$"1\FSPb(G9*!#;$"1i/PU7l"=*!#;$"1X6]t)*3>#*!#;$"1s$p#)f9_D*!#;$"1ZAL4%\+H*!#;$"1oFY]!>OK*!#;$"1daDV*[fN*!#;$"1nX![6lqQ*!#;$"1)fWl7%*pT*!#;$"1p6V/IwX%*!#;7S$"1WJQMWn(['!#;$"1RGM1IPzl!#;$"1/w%GS\,n'!#;$"1R'=lWd*fn!#;$"16\ETEv[o!#;$"1z7vNA\Op!#;$"1V%p=GNJ-(!#;$"1_.4)oU'3r!#;$"1Jofns(H>(!#;$"1Nd6"y.hF(!#;$"1V&*Qu*))zN(!#;$"1YwC5;gQu!#;$"0<e_\7z^(!#:$"1s8'4]%*ef(!#;$"14`qzD_sw!#;$"1$GC^xtxu(!#;$"0B>tAF;#y!#:$"1^z"G<kS*y!#;$"1(\5%Rz1lz!#;$"/B(f$RiM!)!#9$"1WPSP'>F5)!#;$"14-$[cW$p")!#;$"1*=@7E!\M#)!#;$"1u,gi-:)H)!#;$"1;*H]1?.O)!#;$"1Z(ov3(*4U)!#;$"0y.9j!=![)!#:$"0Yw`$=(y`)!#:$"1VM7GO2%f)!#;$"1fH1x1z[')!#;$"1%[iWLH?q)!#;$"1%3G3e(z`()!#;$"1T#fe'\5/))!#;$"1"G:saiH&))!#;$"1p2MFGQ+*)!#;$"1Yrf)ozj%*)!#;$"1xs%pKo4**)!#;$"1:sV%=lT.*!#;$"1Qor!)y)f2*!#;$"1Zp$Q9bk6*!#;$"1XdbSneb"*!#;$"1:>Q1MS$>*!#;$"1k^dvn#*H#*!#;$"0$zJ6$z^E*!#:$"0=kiB%=*H*!#:$"0"Gmja'>L*!#:$"0;W#Hvaj$*!#:$"1$z[S_bRR*!#;$"/xOG]@B%*!#97S$"1FBF<2%oZ'!#;$"0/$GVIRnl!#:$"1*)R?%Haql'!#;$"1eqfY*zdu'!#;$"1L_**eq_Lo!#;$"16'Q=La-#p!#;$"1$QHG;Af+(!#;$"1xEf(p#\!4(!#;$"1Vzav)HR<(!#;$"1YT"4Z*>cs!#;$"1<-zG"psL(!#;$"1K1F'R3rT(!#;$"1uWd[()o&\(!#;$"1cU=5O)Hd(!#;$"1T(35Po*[w!#;$"1w;g(R?Os(!#;$"1`_[R!>pz(!#;$"1_RkIc%)oy!#;$"1;/F'[$QRz!#;$"1k/'[*y^3!)!#;$"1T#pd5Oi2)!#;$"1iUN7t_U")!#;$"1NY%3j#Q2#)!#;$"1Vz3v]zq#)!#;$"16yLF&fFL)!#;$"1`dD0FF$R)!#;$"1%[5`7LBX)!#;$"1jlwi5%*4&)!#;$"1,>Y3&)4m&)!#;$"1w,eA"43i)!#;$"1b*Hc=ySn)!#;$"1vo%oa7fs)!#;$"1o(Q-d?jx)!#;$"1)G'\y?JD))!#;$"16J*\H)*G())!#;$"1F/5%y"4>*)!#;$"1a,/!R1R'*)!#;$"1k**\urN2!*!#;$"09JKNg%\!*!#:$"1Bt%=BL-4*!#;$"1z#Q59%pH"*!#;$"1U%39Piy;*!#;$"1-X93"eZ?*!#;$"1d/rlBSS#*!#;$"1a>wAp"[F*!#;$"1^WYdU-3$*!#;$"1)G#R$[Z+M*!#;$"1os<'G54P*!#;$"10r1hoj+%*!#;7S$"1^!3*y_Smk!#;$"1&[%)>iPeb'!#;$"1"4)on%3Wk'!#;$"1F.&G([2Kn!#;$"1cN6%Q&z=o!#;$"1;6b%4IX!p!#;$"1(4$3'pS#*)p!#;$"1bAeF0*G2(!#;$"131e=YWbr!#;$"0f.&G(poB(!#:$"1EaP"QMrJ(!#;$"1d`&f*)3iR(!#;$"1\9G6a1uu!#;$"0Y9w!zn]v!#:$"1#o!zAA-Ew!#;$"1%R3S1w+q(!#;$".)3:!>Gx(!#8$"1F6ERDBWy!#;$"1_$ev(**H9z!#;$"1X%zGa1I)z!#;$"1%RV)4$R.0)!#;$"1z#G0?(G;")!#;$"1hKAm4%3=)!#;$"16iKlJ*RC)!#;$"/8`P"QdI)!#9$"1_0Yu>2m$)!#;$"1.B!p[#*\U)!#;$"1Ky#)o"*\#[)!#;$"1nWOeJfQ&)!#;$"1l*4f>xKf)!#;$"1d$y&zbbY')!#;$"1Z?<=TV)p)!#;$"11'y=3?*[()!#;$"1#\$*3:A!)z)!#;$"1d<<i.vX))!#;$"1&*G^ag6#*))!#;$"/J=7=8P*)!#9$"0bysS63)*)!#:$"1x=.T(pJ-*!#;$"1)yhUyAU1*!#;$"1fE;<v)R5*!#;$"1ovio=[U"*!#;$"0^$HbYsz"*!#:$"1YG\?bt:#*!#;$"1c$*Gt[`]#*!#;$"1l7xFQ9%G*!#;$"1wowUTe;$*!#;$"1#eT@;yyM*!#;$"1=v#ev[!y$*!#;7S$"1:A&y1`jX'!#;$"1tbJr3pWl!#;$"1#47fK&>Km!#;$"1%fI))*\#)=n!#;$"1.rYh)RX!o!#;$"1[<$HM,$*)o!#;$"1PFpzB2tp!#;$"11*e7Y<e0(!#;$"1&)o"=n-v8(!#;$"1VOvFd4=s!#;$"1d)45,mvH(!#;$"12YA)f%)eP(!#;$"1Qkk&GCIX(!#;$"1k1!)4'f*Gv!#;$"13t"R'om.w!#;$"1/#Q,6Crn(!#;$"1Qh`(=6$\x!#;$"0'>*fr4-#y!#:$"1*\*)f4.)*)y!#;$"1`/S/l2ez!#;$"1&oVj)o,D!)!#;$"1`a@VHh!4)!#;$"0s(*p6b[:)!#:$"1;D'4dNx@)!#;$"0(***o;[#z#)!#:$"19o+R%)QR$)!#;$"1)R!ekN:)R)!#;$"1D6nJBab%)!#;$"19F&Q5b:^)!#;$"11hF#y$>m&)!#;$"1tz<l<Y>')!#;$"08>]!ROr')!#:$"06KMY1>s)!#:$"1B)fT1(4r()!#;$"1C%pTkW*=))!#;$"19o7.%fa'))!#;$"1ExT^Fl5*)!#;$"1f7!pDPX&*)!#;$"1W1e!fEr**)!#;$"1MYPraVQ!*!#;$"1_.<5'z%y!*!#;$"1ieL`cF<"*!#;$"12o'e7T[:*!#;$"1EwLuV>">*!#;$"1'3B)4XNE#*!#;$"1f2&4NT.E*!#;$"1i$RsOvJH*!#;$"1.?(Gix[K*!#;$"1Hn/@(paN*!#;7S$"1x&owwpmW'!#;$"1nY3%oPR`'!#;$"1x,ed!*R?m!#;$"1pvM**Q,1n!#;$"0A'>XNu!z'!#:$"1oh812buo!#;$"1n&3a^*Rdp!#;$"1$3r=db#Rq!#;$"1D%f'zf3?r!#;$"1-&fSQf)*>(!#;$"1&)y`.gays!#;$"0k"*yl<hN(!#:$"1e>\#zZDV(!#;$"1d"4')\6y](!#;$"0z>)Hb)=e(!#:$"1"[4XJ[Zl(!#;$"1*z(\k*zjs(!#;$"/Q#)zAw'z(!#9$"0&Hu\(ye'y!#:$"12w**\XrLz!#;$"1eZVOlD+!)!#;$"1p\0NK\l!)!#;$"1vqeG[TH")!#;$"1hCpRJ,#>)!#;$"1VA"4h"G`#)!#;$"1k%y9G:KJ)!#;$"1F*=6w5=P)!#;$"1E=*4?m!H%)!#;$"1.K*=E")\[)!#;$"1;e))zqbR&)!#;$"1GI]Hiz#f)!#;$"1>go%o-Zk)!#;$"1$z:wx"G&p)!#;$"1E[gb,aW()!#;$"1;_@Od[#z)!#;$"1m<xgw7R))!#;$"19%RkCwW)))!#;$"1PW.PHaG*)!#;$"1r&QFDS8(*)!#;$"1"*R))Q<)G,*!#;$"0QvR">=`!*!#:$"1`J6<iD#4*!#;$"1y)y\&47I"*!#;$"1i1a[Kzm"*!#;$"0UK'z4H-#*!#:$"1GkbPFjO#*!#;$"1tS&ewP)p#*!#;$"18TQ4f#>I*!#;$"1dE%=c<HL*!#;7S$"1rlT`<MPk!#;$"1@?osOcBl!#;$"1vE%Gf/!4m!#;$"1c"3h!fi$p'!#;$"1-gBb-Rxn!#;$"1#3q8eh-'o!#;$"1)42'o^?Up!#;$"1ra?&o(=Bq!#;$"1")GO@s<.r!#;$"1K/]BL9#=(!#;$"1sL+Dq0gs!#;$"1X/Qt3*oL(!#;$"1#y:Q&*=ET(!#;$"1X$*44p@([(!#;$"1WO$f&>mgv!#;$"1#>Ew*G$Hj(!#;$"1"e)=L,,/x!#;$"0QuGmvQx(!#:$"1)z)>!48D%y!#;$"1BQ\?w!*4z!#;$"0nig0Yg(z!#:$"1,r+)y;4/)!#;$"1\0"[y4X5)!#;$"1c!pxd;o;)!#;$"1e)pLCIyA)!#;$"1pes#QXvG)!#;$"09"=)4efM)!#:$"094s'f1.%)!#:$"1Z>t8!o)e%)!#;$"1JO*pnkL^)!#;$"1&=E"yxbm&)!#;$"1o/b%[]%=')!#;$"1E#eBFZ!p')!#;$"1EU#o)QN=()!#;$"1w**>,tPm()!#;$"1U>%RnDJ"))!#;$"0jGXI3'e))!#:$"06@!)eNG!*)!#:$"1%f@&o*=e%*)!#;$"00%o"*3d()*)!#:$"0UHkv/"G!*!#:$"0b;g'[Vn!*!#:$"1=uhyjd0"*!#;$"1ODad_aU"*!#;$"0Qf7Ae$y"*!#:$"1VFM$pKI@*!#;$"19@\_neY#*!#;$"13mu#3R!z#*!#;$"1">BS#*3/J*!#;7S$"1HA8^gNGk!#;$"1;&*oF^b8l!#;$"1<iahv*zf'!#;$"1Yz7mgk"o'!#;$"1AQTOXYkn!#;$"1fh>%4=k%o!#;$".C.8tu#p!#8$"1H2&QM(f2q!#;$"1.m,y(fn3(!#;$"1dv+`3$\;(!#;$"1&pUaR#3Us!#;$"1xLbkw==t!#;$"1mz-v8A$R(!#;$"0z1lrfrY(!#:$"1OGsp.)*Rv!#;$"1xSH>Dm6w!#;$"1$z$=jo=#o(!#;$"1#\b)=c`^x!#;$"1Y)eh_#p>y!#;$"1EF*p%Gk')y!#;$"1h3!=OtB&z!#;$"1KW'HOso,)!#;$"1%[k^kH,3)!#;$"1^`z#\O@9)!#;$"1Kx^kc)G?)!#;$"1mv/v8Pi#)!#;$"1pKGu#*e?$)!#;$"1)Q!)QUOvP)!#;$"1_$)Qr7@L%)!#;$"1c!p?i8w[)!#;$"1p<_3YuS&)!#;$"1_GCemg#f)!#;$"12BDfM?V')!#;$"1Z?#R#*RDp)!#;$"1'GV6:A1u)!#;$"1;@(pQduy)!#;$"0x$*Q)R0L))!#:$"1pm%)e8Ux))!#;$"1Hw9]*p0#*)!#;$"1=$fM<6D'*)!#;$"1T+%pPdK+*!#;$"1L\r&z@G/*!#;$"1$e0e]=73*!#;$"1/IlxBY="*!#;$"1xiOH!pX:*!#;$"1<g#)zZb*=*!#;$"1i%o<gOMA*!#;$"0Cs\2KiD*!#:$"1.cmR$fzG*!#;7S$"1oe1+.q>k!#;$"1utBz*)*Q]'!#;$"1YT<aUO(e'!#;$"1#))GF5g+n'!#;$"18B)*>;&>v'!#;$"1")*z510I$o!#;$"1(z&G")y=8p!#;$"1K!yJxoC*p!#;$"1$)G#4q<32(!#;$"1\/dJf?[r!#;$"1WvKjggCs!#;$"1_<x]?***H(!#;$"1`1)pARVP(!#;$"1U,cAViZu!#;$"1h`c"[D)>v!#;$"1LsJuA#4f(!#;$"1<s72d*3m(!#;$"1U?&*G#G(Hx!#;$"1N"4]t.uz(!#;$"1YCRnv!R'y!#;$"11nt7lAHz!#;$"1)R')pz[L*z!#;$"1^NLxSEc!)!#;$"00'RJM'z6)!#:$"02:PMR%y")!#:$"1'4d'*o&oP#)!#;$"1t@"or(p&H)!#;$"1&z&)R-sCN)!#;$"1"G()y`1!3%)!#;$"1>Ai([+BY)!#;$"07,rPa`^)!#:$"1m,[b*prc)!#;$"1TLv&=]xh)!#;$"1Q#=;@*4n')!#;$"1<,uABA:()!#;$"1X2a=f7i()!#;$"1$))R1Z<y!))!#;$"1@$yS[0B&))!#;$"1j;Xd%*f&*))!#;$"1)4%3U)4x$*)!#;$"1A4P+!['y*)!#;$"1$f<M;E%=!*!#;$"1W<5)Qdq0*!#;$"1#*Go8bb%4*!#;$"1dA3=^$48*!#;$"11G&RZ6i;*!#;$"1Xkl/0S+#*!#;$"1ZCES(=NB*!#;$"1:tntKel#*!#;7S$"1sdY<FO6k!#;$"1Q\!4w#e%\'!#;$"1*e'G&e"4xl!#;$"1A)\*yV&)em!#;$"1\iV(QP)Rn!#;$"1'o\S&z+?o!#;$"1t\%ybM$**o!#;$"1ll(*[oyxp!#;$"17iM"oN`0(!#;$"1Hw\UJ&>8(!#;$"1l\r!e7w?(!#;$"1l0HH')G#G(!#;$"1%\OzAdfN(!#;$"1*3B8k&fGu!#;$"1DltuC=+v!#;$"1'3coo(pqv!#;$"1p0m*fA,k(!#;$"1i7[0*R%3x!#;$"1'oF7nLcx(!#;$"16)>)R$*oTy!#;$"1N&o)GPf1z!#;$"1uOlE]Lqz!#;$"1'pbay-H.)!#;$"1@YI7zG%4)!#;$"1fe@dE[a")!#;$"1k*))*)f![8#)!#;$"1^5lGmFr#)!#;$"1=AjIp'yK)!#;$"1&4l<'*[KQ)!#;$"13_?G9UP%)!#;$"1GLPgUQ!\)!#;$"0<CgeQ@a)!#:$"1V'\:q'o#f)!#;$"1>riT?.U')!#;$"1XgKZ"z,p)!#;$"1dyyKO8P()!#;$"1pdf]@!Hy)!#;$"1#*>&fN#\F))!#;$"1e1ypG"4())!#;$"12[(3CtJ"*)!#;$"0i0s!RGa*)!#:$"1A:^chD%**)!#;$"1lOG'3-J.*!#;$"1eHEjX$32*!#;$"1@@c#=nu5*!#;$"1RS_EU,V"*!#;$"1MaUB1\x"*!#;$"1C>81>"4@*!#;$"1&*y!3<%HV#*!#;7S$"1^Xrl?L.k!#;$"1b%yfd%f&['!#;$"18RGfq;nl!#;$"1\%3K'e,[m!#;$"1X1ZO$3"Gn!#;$"1l"\t'GT2o!#;$"11Zs>*)*e)o!#;$"1R,omq`jp!#;$"1,@g@!*HSq!#;$"1p[tmw:;r!#;$"1Lb9zq3">(!#;$"14t1aD1ls!#;$"1-gfD11Qt!#;$"1[Cs%3f+T(!#;$"1m=p%*p."[(!#;$"1()))o.Z(4b(!#;$"1A[&[&Q&)>w!#;$"1F8l$Rdwo(!#;$"11Afs&pVv(!#;$"1QCP`f(*>y!#;$"1L.V1MY%)y!#;$"1,h)z5?y%z!#;$"1pggMb.5!)!#;$"1*z[`X+62)!#;$"1>[b@p+J")!#;$"1OxMa#[(*=)!#;$"19(>*H!>tC)!#;$"1a%zE1:PI)!#;$"1$QXjQL*e$)!#;$"1262LA(HT)!#;$"1cSp55$eY)!#;$"16>?y-^<&)!#;$"1*R9&><,o&)!#;$"1p2o:"Qth)!#;$"1def:L\l')!#;$"1j"R`?#[7()!#;$"1(QVin5$e()!#;$"1'f*z"f&)H!))!#;$"1js]`Z^Y))!#;$"1\wxlo!*))))!#;$"1w*)***\r,$*)!#;$"1R;(y0>.(*)!#;$"1*y?Ttg$4!*!#;$"1'o#py%3t/*!#;$"1@)R&e\<%3*!#;$"1K!)4>N(*>"*!#;$"1;pbX"=Z:*!#;$"1:D-CMU)=*!#;$"1\'oE]/6A*!#;7S$"1(4T;i(f&R'!#;$"1dR*e1BpZ'!#;$"1V.LQ(yvb'!#;$"1$)Q1(4Kvj'!#;$"1fc%*[:v;n!#;$"1n-(f[1_z'!#;$"1c<[>t'G(o!#;$"1W#>@^0(\p!#;$"1,)[ug$pDq!#;$"1PcBd_!35(!#;$"1tuJY_,vr!#;$"1uu/:&*H[s!#;$"1$>#Gz^j?t!#;$"1ut*ya+?R(!#;$"1_;#y8vBY(!#;$"1o_e'oR<`(!#;$"04)Qih2+w!#:$"1\#)prxOnw!#;$"1^$*Rk*)fLx!#;$"1z5^Oav)z(!#;$"1WW^IT#G'y!#;$"1p">LB$zDz!#;$"0$o"><_w)z!#:$"1#>png"R[!)!#;$"1'p')HU.!3")!#;$"1HtN>2[m")!#;$"1d7H&z<QA)!#;$"1Q4vN,,!G)!#;$"1T7C%Ra]L)!#;$"1:x$RP[*)Q)!#;$"1"=Nq+"pT%)!#;$"11>SKBG$\)!#;$"1ByirMsV&)!#;$"1dxb.m,$f)!#;$"1bISP\;T')!#;$"0xEXos")o)!#:$"1%H***G]/M()!#;$"0YAq4)yy()!#:$"125KD*3C#))!#;$"0)3gGa"\'))!#:$"0$R<mjJ1*)!#:$"1H&[yI@m%*)!#;$"1#3&=*fSe)*)!#;$"1HY@E`)R-*!#;$"1mwrzs1h!*!#;$"0(*e">*)4(4*!#:$"1PCPOL4K"*!#;$"1-#)3>U1m"*!#;$"1()>R9e-*>*!#;7S$"1Ac%y9\")Q'!#;$"1(p12Qd&ok!#;$"1UoG7_J[l!#;$"18*R\;"RFm!#;$"1AAtgYv0n!#;$"1-]&f0wLy'!#;$"1(o)ftmAgo!#;$"1$zKP$)yi$p!#;$"1"RT<)e]6q!#;$"1L4P9A)e3(!#;$"13Mb.LQfr!#;$"1-W(zr&)>B(!#;$"1GDOUrm.t!#;$"17F[%R1WP(!#;$"17J#)RM=Wu!#;$"1/7(RSzH^(!#;$"0p"o#ew2e(!#:$"1MZk\%evk(!#;$"/'p>m4Lr(!#9$"1/ZSjg,yx!#;$"1$)4K&ok;%y!#;$"1\:\XPC/z!#;$"1=dqWEulz!#;$"1A7Eh>:E!)!#;$"1\MQVMY&3)!#;$"1=`i***pO9)!#;$"1*41tol2?)!#;$"1Y>0*pXnD)!#;$"1J[]Zjg6$)!#;$"1:.F[]Ml$)!#;$"1#Hy6IgzT)!#;$"1QQ$*p;Xp%)!#;$"1R"Q-w>)>&)!#;$"07ik>m!p&)!#:$"1.w&pf$><')!#;$"1jE4[b?k')!#;$"1#\*4xl55()!#;$"1xU#Q7-\v)!#;$"1'pp9^)f)z)!#;$"1f5U;H?T))!#;$"1WwCPLs#)))!#;$"1[1(HcoJ#*)!#;$"0.*oS"[D'*)!#:$"1%*QlUB(3+*!#;$"1M7)G8_"Q!*!#;$"0y"RL"*Ru!*!#:$"1j`;!fD'4"*!#;$"1jb*)QV%Q9*!#;$"1p&G1xoq<*!#;7S$"1p&))e'o(4Q'!#;$"147W^r[gk!#;$"1:L^qbORl!#;$"1j"ycm"e<m!#;$"1V*>L$e5&p'!#;$"1<WOc$4>x'!#;$"1y&>^Vkz%o!#;$"1pQ<;UCBp!#;$"12_I>Gs(*p!#;$"1Q+Oi`Prq!#;$"1%RnS)z<Wr!#;$"1#**eZ'y5;s!#;$"1FC(\CVrG(!#;$"0G?>WjsN(!#:$"1FV"Q')[kU(!#;$"0[R?-"o%\(!#:$"1v%y6aU>c(!#;$"1fO*o;<#Gw!#;$"13$y;x*[$p(!#;$"1R^\ejudx!#;$"1taKiS(4#y!#;$"12vl\6;$)y!#;$"1Rt%f,(HWz!#;$"1e:4"=sV+)!#;$"1XW&HGyL1)!#;$"1dz**o!387)!#;$"0LmgQb"y")!#:$"1e<Qo^"RB)!#;$"1H4"QU$e)G)!#;$"1RgY=s:U$)!#;$"1oqqfYj%R)!#;$"1b]hx[,Y%)!#;$"1[*3]+)H'\)!#;$"1843c^[X&)!#;$"1"HFPSyNf)!#;$"0-acv!eS')!#:$"1-sLHh\'o)!#;$"1X0#fKH8t)!#;$"1#fKJ+'3v()!#;$"1_rIZEx<))!#;$"1(4"fWlRf))!#;$"1:NU^d'***))!#;$"1$QqV1*[R*)!#;$"1G%)R*)f(z(*)!#;$"1:7n5nV:!*!#;$"1W(\*e?)=0*!#;$"1k'y'zMK(3*!#;$"1iy$3+t<7*!#;$"1vxj+KCb"*!#;7S$"1Gl?J92uj!#;$"1mv=kCq_k!#;$"1d5Tv$>2`'!#;$"1E)*z&o#43m!#;$"1\j2FPz%o'!#;$"08;Gn%zgn!#:$"1[pun&og$o!#;$"0$\Cb$*e5p!#:$"0#Q)H!>L%)p!#:$"1:*)pE?Fdq!#;$"1zE.7lQHr!#;$"1\VVMJl+s!#;$"1h84x10rs!#;$"1,e(o%*e0M(!#;$"0e%H)ye"4u!#:$"1<uV&4KoZ(!#;$"16@#>#=cVv!#;$"1j<%)))>L4w!#;$"1tRs!pFTn(!#;$"1dq^*4Nzt(!#;$"1=Kim9u+y!#;$"1oP+B^`iy!#;$"18dQxaIBz!#;$"11Tg7I/$)z!#;$"1&\=,GR</)!#;$"1phu#*oQ*4)!#;$"0$)ec^zf:)!#:$"1GJpb=^6#)!#;$"1e*G!\'zfE)!#;$"1DFHZ'z$>$)!#;$"1))f9-'4<P)!#;$"1CDU[#oHU)!#;$"1r&zeGbJZ)!#;$"1n8jf8FA&)!#;$"1j\LR!=.d)!#;$"1o.?(z(H<')!#;$"1x%)*[)R@j')!#;$"0`T%4323()!#:$"1j>63L(=v)!#;$"1#G;DKFYz)!#;$"0,T=ZRj$))!#:$"/#)QDr,x))!#9$"1_zYu$om"*)!#;$"1m^s.?Ib*)!#;$"1mt(>YFH**)!#;$"1#zRE$[bH!*!#;$"1wH"Q![>l!*!#;$"1or5Q'e)*4*!#;$"18jFU"eN8*!#;7S$"1#3H'4RUnj!#;$"1@(>e$Q>Xk!#;$"1abePmOAl!#;$"1pHOuP"*)f'!#;$"1EN0wu![n'!#;$"1$*z\s2-]n!#;$"1o2K@v_Co!#;$"1O!*4MCI)*o!#;$"11d"35@8(p!#;$"10+c7+cVq!#;$"1fWW#e'*\6(!#;$"1&*=rk"4c=(!#;$"1i6,sqPbs!#;$"1&3D3f!GCt!#;$"1P#R]*4I#R(!#;$"1_\kd0Ufu!#;$"12]dgDiDv!#;$"/^n-8*3f(!#9$"1J">e57_l(!#;$"0#4=>8d=x!#:$"1Z&z;Kc4y(!#;$"1x*>E_bB%y!#;$"0*\bg$eF!z!#:$"0_)R+`:iz!#:$"1iY#)Gy`?!)!#;$"1Y.*zW)*y2)!#;$"1.Min1BM")!#;$"0G@b**G&*=)!#:$"12*3l#*)yV#)!#;$"1es!*Hp+(H)!#;$"1KscN/=\$)!#;$"1he_=yI+%)!#;$"1oXM#Q)Q]%)!#;$"1h6>TBU*\)!#;$"1;&H2!3TZ&)!#;$"1XB)ytbVf)!#;$"1#GM&z*f-k)!#;$"1LNC!=F^o)!#;$"1$eJ!*zh*G()!#;$"1Z7Kv!p<x)!#;$"1/Q4/]b8))!#;$"1elL5jKa))!#;$"1z@&GU!4%*))!#;$"1W5]Za&G$*)!#;$"1Px%*R,jq*)!#;$"1*>#)z(QU2!*!#;$"1G`[LmCV!*!#;$"1#=3T%*3"y!*!#;$"1XDt%)=-7"*!#;7S$"1)3"Qbd-hj!#;$"1"f@7>_zV'!#;$"1n)=Dz(H9l!#;$"1w,J>\.!f'!#;$"1Z[Ckm8lm!#;$"1N0d!)odRn!#;$"1GUg3-L8o!#;$"1<bk+@P')o!#;$"1VOHW)y'ep!#;$"10W8%eF-.(!#;$"1(Qn<M'*45(!#;$"1N%[T.k4<(!#;$"1hoA!\5,C(!#;$"1e8'eY;%3t!#;$"07.qljeP(!#:$"1o"R6rMCW(!#;$"1>M*pB8"3v!#;$"1&H([7Q)Gd(!#;$"1$>m4*>tOw!#;$"1,Cq0Vk*p(!#;$"1\!*os#3;w(!#;$"1*4W<R7E#y!#;$"00Zf9YE)y!#:$"1i]V****pTz!#;$"1Z))e$Rl(**z!#;$"1XBkTZ$o0)!#;$"1'R`<U,H6)!#;$"11hdo(fz;)!#;$"1M&yL10?A)!#;$"1hAvAN.v#)!#;$"1\I'fGUqK)!#;$"1:W*4SH!y$)!#;$"1m"Q$4Q*zU)!#;$"1(*zeH`$pZ)!#;$"1tV*)RY&[_)!#;$"14.MfKvr&)!#;$"1X%*HGNj<')!#;$"13)Qye)\i')!#;$"1u*H#eBN1()!#;$"1(*Hj;&*>\()!#;$"1a#=SZX5z)!#;$"1v;R^j*=$))!#;$"1t#*Qb*e<())!#;$"1AmI`2k5*)!#;$"1="Hw%)\&[*)!#;$"1_#G,&\\&)*)!#;$"1$z)eb`[@!*!#;$"1F4B:4`c!*!#;$"1p1*)4?k!4*!#;7S$"1WOY!zo[N'!#;$"1va">%)o4V'!#;$"1')*['yO]1l!#;$"1d)3__Y9e'!#;$"1(z+KIrdl'!#;$"1zd(yl_%Hn!#;$"1AUI$)fY-o!#;$"1k.5Yuyuo!#;$"1s3m2SRYp!#;$"1Vd)[Wjs,(!#;$"1@ONpVP(3(!#;$"1`w#\C1n:(!#;$"1uAx.%R_A(!#;$"18`wg]&HH(!#;$"1`RHE`$)ft!#;$"1isU<K'eU(!#;$"1N?YnE-"\(!#;$"0yUQ`)Hbv!#:$"1`0Y/mn=w!#;$"1:&RBgV6o(!#;$"1rOs)=(oUx!#;$"1f,ekfH.y!#;$"1>"R0ZfH'y!#;$"1jOH&=o;#z!#;$"16p[ANTzz!#;$"1Kk6Ey=O!)!#;$"1@%*[kV)>4)!#;$"1%>lFK(zY")!#;$"1"=CTz@1?)!#;$"1sbgpPX`#)!#;$"1NzlE,H0$)!#;$"1"**\khGhN)!#;$"1D.**\y'fS)!#;$"1Pt5$G2[X)!#;$"1o@M+sk-&)!#;$"19#4yp)[\&)!#;$"1>,3lOL&f)!#;$"1#\[hw%=S')!#;$"1uN`>a/%o)!#;$"1h?ex(>ps)!#;$"13y-0F")o()!#;$"16)povH(4))!#;$"1*3Hc:x'\))!#;$"1r^/o<m))))!#;$"13IF"3"pE*)!#;$"0tS'yJxj*)!#:$"1R%G]r;****)!#;$"0fF>*38N!*!#:$"19)RAVD%p!*!#;7S$"1%)eJ&=X*[j!#;$"1k^*fYNUU'!#;$"1,6w;b(*)\'!#;$"1[KH#RRJd'!#;$"1w(=4"=qYm!#;$"0$\()z"Q'>n!#:$"1'Ge#>Y#>z'!#;$"1$fBY)z`jo!#;$"1b%)>))eXMp!#;$"1')Qo=nl/q!#;$"1-Whf'>T2(!#;$"1L\D1Z#G9(!#;$"1le,"o_2@(!#;$"1e4PZ_)yF(!#;$"1kpEA\?Wt!#;$"0H<q3&p4u!#:$"1Efn'**RVZ(!#;$"1'e"*yyC"Qv!#;$"0YX_[N5g(!#:$"1h*zg+fIm(!#;$"1M*GQ;$=Cx!#;$"1GO')pmR%y(!#;$"1,>(Q8*oVy!#;$"1A9zi50-z!#;$"1K4KeQZfz!#;$"1uk.8)\f,)!#;$"1"fU^5s92)!#;$"1_7*=zMg7)!#;$"1eQq,Gjz")!#;$"1$HM]#>EK#)!#;$"0L8S!)=RG)!#:$"1Do"4#4gM$)!#;$"1PB]&e1VQ)!#;$"1)eg7#\.L%)!#;$"1i*H1&ey![)!#;$"1lPAz+cF&)!#;$"1C97z!fLd)!#;$"1=fFr]==')!#;$"1*)3425/i')!#;$"1#p@#\0$\q)!#;$"1w`l^!eou)!#;$"16^7R&Gyy)!#;$"1#*\"foZy#))!#;$"0D6Tz@p'))!#:$"06c8xd]!*)!#:$"0Dg"3JEU*)!#:$"1&oH[&eay*)!#;$"1DC1)f9R,*!#;$"1Y'psVy$[!*!#;7S$"1trmSuCVj!#;$"1vRF*3WxT'!#;$"14Eg!*[q"\'!#;$"0TBnp/^c'!#:$"18t#>**=zj'!#;$"1G=u;R75n!#;$"1oHs!H'p"y'!#;$"1*G))Rj8E&o!#;$"1B%fu=aG#p!#;$"1ffyJpR#*p!#;$"1pd#\g@71(!#;$"1)Gg$=(3$Hr!#;$"1`n#>dRm>(!#;$"1RGDni>js!#;$"1#\#y><'*Gt!#;$"1P`Qp'>RR(!#;$"1D`a*oa!eu!#;$"0&y7&>_8_(!#:$"1%oF([%)z$e(!#;$"1%p.cc!QXw!#;$"0@4s^'31x!#:$"1v/LL^!fw(!#;$"0L[G5E[#y!#:$"1%fTJ(*RG)y!#;$"1OM:["Q*Rz!#;$"1mZ9&)G6'*z!#;$"1_:;!Hd80)!#;$"1faC7`m0")!#;$"1'o>ktJ!f")!#;$"0H%[v@X6#)!#:$"1\ulgI#HE)!#;$"1N75J;W8$)!#;$"10BPAf+j$)!#;$"1)))RQv9;T)!#;$"11\6:xEf%)!#;$"1tc`^^'f])!#;$"1&*ov["3<b)!#;$"1F**[;&)\'f)!#;$"1<KWr(Q.k)!#;$"/G^>@B$o)!#9$"1$QtsV#=D()!#;$"1P6#GD%>m()!#;$"1V(>gssi!))!#;$"1B:?GOUX))!#;$"1*\v8K`O)))!#;$"1pV*pto4#*)!#;$"02KVNxt&*)!#:$"1aL_yr)G**)!#;$"0Q;$=n]F!*!#:7S$"1nk\q$oxL'!#;$"0Qkv1([6k!#:$"//kGPo%['!#9$"1jE)>(RLdl!#;$"1Q.\=STHm!#;$"1#oVXr+4q'!#;$"0<-Pbr<x'!#:$"1#3Gsp/?%o!#;$"1@gS$**y:"p!#;$"1Q=j&*RZ!)p!#;$"1CuCz*p'[q!#;$"1w55dz9;r!#;$"1&=;Qp*)G=(!#;$"1yTv=x()[s!#;$"1^3mP`49t!#;$"1$G))HkE&yt!#;$"1=x)G_c@W(!#;$"12?()o1(\](!#;$"1j!\@ebpc(!#;$"1P5jy&)4Gw!#;$"1Toi#z(Q)o(!#;$"1&\G#z@"yu(!#;$"1yZS::O1y!#;$"1E$=)*RES'y!#;$"1K^Q^#)z?z!#;$"1Azf1$pm(z!#;$"1Kuj:EjJ!)!#;$"08)HP?o&3)!#:$"1'*pvKA")Q")!#;$"1,k@e'=5>)!#;$"1LTXcvHU#)!#;$"1YaJZfk#H)!#;$"1zR=<;1U$)!#;$"00qu5V0R)!#:$"1[j:-(*3Q%)!#;$"1\CW99q%[)!#;$"1z4`s*y.`)!#;$"1)G*f/Q7v&)!#;$"1@:+B!Q*=')!#;$"1oou2W#=m)!#;$"1<0I*Q'y.()!#;$"1WVvI!G[u)!#;$"1"*[T4S&\y)!#;$"1zk&yfpT#))!#;$"1wu[W1[i))!#;$"1exn`N*)**))!#;$"1i`\l_TO*)!#;$"1'4+^B`?(*)!#;$"1Y:%=T:o+*!#;7S$"03Ag3,DL'!#:$"1%[7+2daS'!#;$"1fX)oG/zZ'!#;$"1x+M"4>)\l!#;$"0(>'GTy6i'!#:$"1jWWx(f>p'!#;$"1;rDG89in!#;$"1-A@X=qJo!#;$"1vxSj2i+p!#;$"1=9U!>y)op!#;$"18DVA\XOq!#;$"1)z`"fCL.r!#;$"1&pbv,$\pr!#;$"0$*pVa>\B(!#:$"17=OFdf*H(!#;$"0Mj`+1NO(!#:$"1dB1xbjEu!#;$"1oca3/(*)[(!#;$"1EpfRs\]v!#;$"1UIv)e.7h(!#;$"1c_7dx2rw!#;$"1iT*4$)3,t(!#;$"1.->$o'G)y(!#;$"1lSFt>gXy!#;$"1-P`Yh/-z!#;$"1Gr"=V6w&z!#;$"1#eA#Q3H7!)!#;$"17*p1:yg1)!#;$"1^*yV#z'*=")!#;$"1#)HGya&4<)!#;$"1TrS()o.A#)!#;$"1#eVU(*3AF)!#;$"1>n:*Hp9K)!#;$"1UP&)\h")p$)!#;$"1xo&*H&[sT)!#;$"16_rYhwj%)!#;$"1;`*yRp$4&)!#;$"1/3*yNfSb)!#;$"1k?4jx$yf)!#;$"1T"el*pqS')!#;$"1UO.s+n#o)!#;$".athIPs)!#8$"1eGGdG*Qw)!#;$"13f#efhJ!))!#;$"1wa1)>U:%))!#;$"1;/cr0/z))!#;$"1OeNZJm:*)!#;$"12qkgoT^*)!#;$"1E:9J"4j)*)!#;7S$"1A4l!)*QuK'!#;$"1(>;M1Z'*R'!#;$"1C$3F8f8Z'!#;$"13+J^AbUl!#;$"1@q_IS?8m!#;$"1#[q3l#H$o'!#;$"1)*Gu")oz_n!#;$"0e*4+hp@o!#:$"0Pf!3.(**)o!#:$"1T6W\,gdp!#;$"1K`?DpcCq!#;$"1[?y2E&34(!#;$"1x,Fa)Rk:(!#;$"1,X\=?J@s!#;$"1$R5>;`aG(!#;$"1f%[L1[)[t!#;$"1tRfFA[6u!#;$"1G))z#*=Mtu!#;$"1dfsOSTMv!#;$"1s"H=Q'o%f(!#;$"1%et"*RZTl(!#;$"1mV?6jy7x!#;$"1NTP$4$fqx!#;$"1#[TYZev#y!#;$"1Qb&o$Rn$)y!#;$"1hP/8<$*Qz!#;$"1#>AYyCL*z!#;$"1E'\v(o%o/)!#;$"1;!\uX#\*4)!#;$"1C:sBnD^")!#;$"1w,o-c8-#)!#;$"1d?tRd7_#)!#;$"1K%R1\C7I)!#;$"1u<*="*H%\$)!#;$"0&>A]2u'R)!#:$"1$H,8VcJW)!#;$"1y#\w/x')[)!#;$"1OZzXLIL&)!#;$"1Yjs7n.x&)!#;$"1-6nh"z)>')!#;$"02SsJL=m)!#:$"1k9)**R-Hq)!#;$"149Q5-4V()!#;$"1,LN76S#y)!#;$"1enD;+%3#))!#;$"1([([hBTe))!#;$"1*Gz')4C^*))!#;$"1u%f:n")4$*)!#;$"1G')\)*>*f'*)!#;7S$"16=#ervDK'!#;$"0BhuH]SR'!#:$"1j#*fH6/lk!#;$"1P^/cf_Nl!#;$"1ljOWI[0m!#;$"1)="e07*[n'!#;$"1G&>H")HPu'!#;$"1Udi>)y>"o!#;$"1O)ydx='zo!#;$"1<z5W3jYp!#;$"1"R$y9o*H,(!#;$"1Oj;>"*pyq!#;$"1=8]U3sVr!#;$"1T+aNd/3s!#;$"0*e3D#e;F(!#:$"1D;XBMaMt!#;$"1z^#o8(o'R(!#;$"1U1ase2eu!#;$"1-UDXop=v!#;$"0"p-#)z`yv!#:$"16(=j#zePw!#;$"1T-!4/Oep(!#;$"1F9p4CF`x!#;$"1&zP&Qy))4y!#;$"1@y$\&Qnly!#;$"1$eOnqA1#z!#;$"1**H!)ftsuz!#;$"11*4Z\")z-)!#;$"13"QC]z.3)!#;$"1Js7zk">8)!#;$"12!)*)>#)e#=)!#;$"1K@x67RK#)!#;$"17urDEK"G)!#;$"1Ht%yI!QH$)!#;$"1>a!)pFcw$)!#;$"1ohOy"pGU)!#;$"1)=&GW$*Ho%)!#;$"1tCV5P&G^)!#;$"1NMCRL`c&)!#;$"1jK_**)R$*f)!#;$"1))3k_cFT')!#;$"1>#\"QMM#o)!#;$"1[#p)emaA()!#;$"1UaZl#*)=w)!#;$"1V2iSdP+))!#;$"1"4RE36!Q))!#;$"1>S'))y+[())!#;$"1G9gQ3v5*)!#;$"19[zvw'e%*)!#;7S$"1=Bo2_!zJ'!#;$"1KS"3Hg')Q'!#;$"185yAM%*ek!#;$"02/E+L(Gl!#:$"1M1pHz+)f'!#;$"1**=fAwumm!#;$"1/$))o.K\t'!#;$"1o$y@oTD!o!#;$"1Mz9Qwbpo!#;$"1(4*pp:'f$p!#;$"1'=?6uN<+(!#;$"1'Q!GHI'o1(!#;$"17[$e$pKJr!#;$"1p!G%)f6^>(!#;$"1[l)3!=?es!#;$"1&)>R#)He?t!#;$"1;5jX7C#Q(!#;$"1&p<ROjJW(!#;$"1O")G(yOL](!#;$"1C'ovk\Fc(!#;$"1t2Ui2R@w!#;$"1C#p$Q'\#zw!#;$"13(>GZ;jt(!#;$"1Qr2b@e#z(!#;$"1CbPm#Q![y!#;$"1AK$*yqn-z!#;$"1R#\Sb"\cz!#;$"0ld#R`Z4!)!#:$"1E%fXwA;1)!#;$"1(=_x$)GH6)!#;$"1/.))Q#*Qj")!#;$"1K!HQJ+I@)!#;$"1$*z3n!f<E)!#;$"1'\5P:j'4$)!#;$"1@l\q3rc$)!#;$"0JGk9,HS)!#:$"19')QKNB[%)!#;$"11E>!>3F\)!#;$"1"Hl4)eKO&)!#;$"1sr*G&z3z&)!#;$"1M9TGj*4i)!#;$"1<nx!\`?m)!#;$"1@)*>qCE-()!#;$"10LVHoiT()!#;$"1QJ$*[1:!y)!#;$"1N<g6&Qy"))!#;$"1^?:([&pa))!#;$"1D"Gh6F2*))!#;$"0w<ORRf#*)!#:7S$"1EKa9;U8j!#;$"1__,=3Z$Q'!#;$"1-'\cUfIX'!#;$"1x$QqYm@_'!#;$"1*>*3]9x!f'!#;$"1'G)*)yV&)em!#;$"1sr!3x&REn!#;$"1&y>EnwLz'!#;$"1l#efny(fo!#;$"1-"Q<$ReDp!#;$"1-\uj^x!*p!#;$"1(Q(H"oN`0(!#;$"0(H)4R\#>r!#:$"1pXX23]#=(!#;$"1)>zK1v]C(!#;$"135$y"z&pI(!#;$"1_MAld8ot!#;$"1:uFTcfGu!#;$"17S_H_K)[(!#;$"1.HCmGJZv!#;$"1H*QXaZbg(!#;$"1r<Y<*=Im(!#;$"1d`<+tr>x!#;$"1#\&=rOjvx!#;$"1$>OEnf2$y!#;$"1Aoo4w3&)y!#;$"1fR)*[/hQz!#;$"0iVi"=K"*z!#:$"1L4'H*f@V!)!#;$"1<hE7zG%4)!#;$"1`p%R:LX9)!#;$"19$f'Qz%R>)!#;$"1C)[87HDC)!#;$"0#y!R=u-H)!#:$"0-$4F7=P$)!#:$"11/th*[KQ)!#;$"1[[B*pw%G%)!#;$"1CHZTV'GZ)!#;$"1%>)**pBT;&)!#;$"1N!*oM=7f&)!#;$"1^(>=M%*4g)!#;$"1\ifT?.U')!#;$"1^")=:wB#o)!#;$"1D&*GhUh@()!#;$"1x3C#ol,w)!#;$"1(4X(pg*yz)!#;$"1N/@!45[$))!#;$"1KNvpG"4())!#;$"1xa*)y*4i!*)!#;-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""$6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q'&#963;6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"r6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q9Delta~of~the~Call~Option6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%+LIGHTMODELG6#Q(LIGHT_36"-%+PROJECTIONG6,$")(*****\!")$!)x1rq!")$")(*****\!")$")(*****\!")$")x1rq!")$")(*****\!")$!)x1rq!")$""!!""$")x1rq!")$"#5!""-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$S%!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%!o$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%+P!""-%)CHILDRENG6"G6" S;

SSJTRzYi

: Explore:-Runtime:-Update( plot3d(_Delta(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Delta of the Call Option"), ':-Plot2', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider6', ':-Slider7', ':-Slider8'], ':-labels'=[':-Label6', ':-Label7', ':-Label8']); K;

SSJLRzYi

: Explore:-Runtime:-Update( plot3d(_Delta(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Delta of the Call Option"), ':-Plot2', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider6', ':-Slider7', ':-Slider8'], ':-labels'=[':-Label6', ':-Label7', ':-Label8']); T;

SSJURzYi

: Explore:-Runtime:-Update( plot3d(_Delta(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Delta of the Call Option"), ':-Plot2', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider6', ':-Slider7', ':-Slider8'], ':-labels'=[':-Label6', ':-Label7', ':-Label8']); LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= JSFH Step 4. The Gamma of the Option The Gamma of an option or a portfolio of options is the sensitivity of the Delta to changes in the value of the underlying asset 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 print(); # input placeholder -%'PLOT3DG6--%%GRIDG6%;$""&!"#$"""!"";$"""!"#$""&!"#7S7S$"1QdJ$f^S9$!#;$"0_^Yy2N3$!#:$"2PJQ-eK*>I!#<$"1xmyOJc`H!#;$"2Es+32VY)G!#<$"1uRcz4U8G!#;$"2Ndi9'*[,u#!#<$"13#Hy9"3lE!#;$"2<`)3eAZ)e#!#<$"1[FY*=w0^#!#;$"2Rxk=lW;V#!#<$"2kdvy&e#>N#!#<$"2y3&)oFj;F#!#<$"2)yMehW4">#!#<$"2iCOS&*\/6#!#<$"2=IvvF_*H?!#<$"2&QKq>]")\>!#<$"22,`,,U-(=!#<$"2E6%=(fE9z"!#<$"2W$>9C5b8<!#<$"1aBF2fyO;!#;$"1h,y9)*Gh:!#;$"2#z"fh%*3s["!#<$"2O&H"*4pn99!#<$"0hPpf9QM"!#:$"1$4fg9IZF"!#;$"2.T8v**=v?"!#<$"1hO`HSEU6!#;$"2&>umsd.z5!#<$"0#H*fp#*y,"!#:$"1VYM!f:))e*!#<$"1M\'*G#y.-*!#<$"1)o(RR6'QZ)!#<$"1JK5KtS\z!#<$"1dx)z/iqW(!#<$"1(*e\j&yn'p!#<$"1Lg_]UU3l!#<$"1==EEoyrg!#<$"12&p.t!ecc!#<$"1Q**))pNXi_!#<$"1,oZvD**))[!#<$"29LUj,Jd`%!#=$"2m())GDX:-U!#=$"1YIY*G2x)Q!#<$"1G#)*o1)z"f$!#<$"1H5X$*f!QJ$!#<$"1\nJ\h3`I!#<$"1)>y)e[(*3G!#<$"2$=C9-Zz!e#!#=7S$"2OGV2s^@4$!#<$"2mLdE5NZ.$!#<$"1)GiNu<W(H!#;$"1/"pIP;9"H!#;$"0pGf)Q&f%G!#:$"1"=Eq.e#yF!#;$"2.KeG8g&3F!#<$"2;%Q!*HP4PE!#<$"2mi#**\L4kD!#<$"1(QwBA$z*[#!#;$"2QN3<1EWT#!#<$"2)*>h0*=AQB!#<$"/)eW"pShA!#9$"2x#)zmX-U=#!#<$"2Ku=$fR#o5#!#<$"2([RFc+[H?!#<$"0O%)HsrB&>!#:$"2N%f'o]"pv=!#<$"2j+>:%Gi*z"!#<$"20K(*oWRVs"!#<$"2Q*)fn"[+];!#<$"1Au(Qzrnd"!#;$"1'RXEB#y/:!#;$"2'pP(zumTV"!#<$"2'ype[X/l8!#<$"1bK=_L_(H"!#;$"2_*fFz$*pJ7!#<$"2'e^(>Udw;"!#<$"24%)oM)4Z06!#<$"2VTNN[-_/"!#<$"1(oq0DN!p)*!#<$"1b=<i@:1$*!#<$"1kjXGaoj()!#<$"1n6F_y%=C)!#<$"19l0O(f2u(!#<$"1.(4gw`/E(!#<$"1;?&z;!)3!o!#<$"1mg[y?">O'!#<$"1Knaw5NVf!#<$"2%*eUC#G$\a&!#=$"2;g$*QvKj;&!#=$"1>iM"zrr![!#<$"1i1$z+AqY%!#<$"1T+wAATXT!#<$"2$)R/)zM$=%Q!#=$"1&=Z#yVubN!#<$"14g*RAwlG$!#<$"0aEe(ztLI!#;$"1p^Vj4i'z#!#<7S$"2:"y&zfT;/$!#<$"1:1w8H8()H!#;$"2cu*>i%[)HH!#<$"10[\Bm)*pG!#;$"0MC=k^x!G!#:$"2'yNarCNVF!#<$"1fW*yh,qn#!#;$"2Xa@6)R"*3E!#<$"10(yEr0$RD!#;$"2Q++>4$RoC!#<$"2U!*>6V"R'R#!#<$"27$)on,9NK#!#<$"11sW$4r*\A!#;$"2Bl-u*)of<#!#<$"2=;3_u3<5#!#<$"21EtF='QF?!#<$"1"yB"*>!>`>!#;$"1Rwm3DIz=!#;$"2L'G$\!p*e!=!#<$"2=IH!)oQJt"!#<$"2k1at;%=h;!#<$"28lU.C!=!f"!#<$"2`=pt/k-_"!#<$"2.OFAqi:X"!#<$"27a')p4$>%Q"!#<$"2a/=%z<E=8!#<$"2vJL1!\'QD"!#<$"2G9p+B)3">"!#<$"2j:-XB2+8"!#<$"2$4cP<soq5!#<$"2#z!zV^$=85!#<$"1M%p$4uTv&*!#<$"1XfMq3)z.*!#<$"1FcTYlz>&)!#<$"1uqxG$[5-)!#<$"1UZ4gq$=a(!#<$"1xcc$*[=#3(!#<$"13)=B))R?k'!#<$"1wvD^2G@i!#<$"1lIw/=s>e!#<$"1Y<ODz6Pa!#<$"1[')[?'pJ2&!#<$"2'\/!o2Gvs%!#=$"10#oS=+)*R%!#<$"2w%eX$\`&*3%!#=$"1-t$z2@jz$!#<$"2YVhcE1'>N!#=$"2M)4@?s))eK!#=$"2t>u[M@O,$!#=7S$"2a`J=N([#*H!#<$"1Xu*3.'oSH!#;$"1hF&RJGi)G!#;$"1-t))pgHHG!#;$"1l#Q+tw+x#!#;$"2m\%4mAw3F!#<$"2&3P:h"[bk#!#<$"19:e"QK1e#!#;$"12)\rN9U^#!#;$"1H=pwR\YC!#;$"2P01igqwP#!#<$"2%\m(f8UzI#!#<$"2C()eG1/vB#!#<$"2/q5Mh[l;#!#<$"2(4C/8RE&4#!#<$"2Gw6e?LQ-#!#<$"2ub>*GTV_>!#<$"2."pOX!Q7)=!#<$"27!ziP%4/"=!#<$"2)Gpdk`5S<!#<$"1zbH$)\Zq;!#;$"2(RjxO"f;g"!#<$"2()oXz+!zL:!#<$"1"e`)R3*pY"!#;$"2wED8sv8S"!#<$"2Zb\oV\qL"!#<$"1n+**yt5u7!#;$"2rsb6_NE@"!#<$"2,kd"[/r_6!#<$"2&yPhT%*R%4"!#<$"1ZD%phgx."!#;$"1kX7%3J%G)*!#<$"1sK*[)H(oH*!#<$"1w%Ga(3D$y)!#<$"0%*H%)*>!yG)!#;$"1")f!p@&o5y!#<$"19G%[n%)>N(!#<$"14YF&p8<"p!#<$"1"***=u)=)*['!#<$"2'G%)\HV='3'!#=$"18()Rlgj+d!#<$"1vq#RTYHL&!#<$"2/Bur^QG)\!#=$"1E2h:3**\Y!#<$"1Kt65:/MV!#<$"2EMVw'HfMS!#=$"0MuG/;7v$!#;$"1Q$[3HaM[$!#<$"1()*z![!G3B$!#<7S$"1\OAkOlWH!#;$"1#HcR)fP&*G!#;$"1/C[+ebVG!#;$"2kYm-5g$*y#!#<$"1>a*[8hHt#!#;$"0e&)Q^NXn#!#:$"1`Ez*GjUh#!#;$"2C_-A/FBb#!#<$"2v#H0n4"*)[#!#<$"2G2^v(**>CC!#<$"2Vj7F#)y$eB!#<$"2Lgd#H7j"H#!#<$"23shA2RTA#!#<$"2<d%ez:3c@!#<$"1*Q!ouXj(3#!#;$"2A3_>wp*=?!#<$"21QP$eSD]>!#<$"2AzCV(*[;)=!#<$"2&*\"4Z+J8=!#<$"2#)GTzK'QX<!#<$"2U6/d#*>!y;!#<$"2<"\C2cM6;!#<$"1xKsb/\X:!#;$"2Yd_net0["!#<$"2)G@8Afq;9!#<$"23=s.-!*RN"!#<$"1lS!G'*>DH"!#;$"2*R#pOH"QK7!#<$"1sV@75lt6!#;$"2*>w[9wR;6!#<$"2TVNA="og5!#<$"2kITg^`l+"!#<$"1KcG'4$eS&*!#<$"1())*o?OJK!*!#<$"1l#y\C35a)!#<$"1(zI$yZ(o1)!#<$"1ttJz.05w!#<$"1bk'e%[gqr!#<$"1Eyt2Ta[n!#<$"1Hr(f)Q"QM'!#<$"2'\9_%[.j&f!#=$"1iF4!o\ee&!#<$"1Jwtx1CK_!#<$"2O8?35?_*[!#=$"2N'3#f)4\uX!#=$"2M`1\v>(pU!#=$"1Q%*QQ,a!)R!#<$"2'fy&o-dlq$!#=$"1%p-zA]tW$!#<7S$"1p;!RI/")*G!#;$"1V!3Jv"=^G!#;$"2$oMQp_#=!G!#<$"2:4>GS)=]F!#<$"1;)=(y'Hkp#!#;$"2%fC'3z62k#!#<$"2bk(e'y+Ke#!#<$"2m!*e$\_1CD!#<$"2b\)R%[vMY#!#<$"1h5"Gr-;S#!#;$"2$ogWz#='QB!#<$"2E76&zGpuA!#<$"2/`y'3e**4A!#<$"2,O@6C%pW@!#<$"1xpdRD&*y?!#;$"2KNq6gJH,#!#<$"2)43MU#)yY>!#<$"2sX3eiu1)=!#<$"1db4Kxt9=!#;$"2$)*yox)="\<!#<$"1pi["G`Ro"!#;$"12Ow!op$>;!#;$"1iFT(***[b:!#;$"2X3[[0HC\"!#<$"1tX^XVHI9!#;$"2$))\c[e=p8!#<$"2og"*o*e>48!#<$"23bZB44/D"!#<$"2<LmwE-H>"!#<$"2j,*G$\Wn8"!#<$"2^(z.Fr*>3"!#<$"2j`OV!RrG5!#<$"1>llk1Tp(*!#<$"1U?sT_<n#*!#<$"1&4**z`]2y)!#<$"1Y'>+B&Q5$)!#<$"1"zW,Vhi&y!#<$"1)R3UW(\=u!#<$"1-W<L2:(*p!#<$"1pi+[5A#f'!#<$"2ly,tq`O?'!#=$"2uYay)HMJe!#=$"1<49*fN^Z&!#<$"1")[x8U$[8&!#<$"2Xp+s-,-"[!#=$"11"*G@8'4]%!#<$"03H!3q!o?%!#;$"1/Q:J,SFR!#<$"1DiF0jPiO!#<7S$"2%Gb9cD!G&G!#<$"2bOcfP!33G!#<$"1@#)**)oF5w#!#;$"1=^"\*ey6F!#;$"2&p>J)3,0m#!#<$"2b]:+MBtg#!#<$"2D5S*pfS_D!#<$"2u%RX;[!f\#!#<$"2%=B22v(zV#!#<$"2Oq&>NFyyB!#<$"1bFYZ&z%=B!#;$"2W-/hkEsD#!#<$"0rk/r"=&>#!#:$"1VfhT2]K@!#;$"23+)pLuLp?!#<$"2wUQ`dUe+#!#<$"2s'o;%[j@%>!#<$"2>]5rZV%y=!#<$"2'4F!)y8#["=!#<$"2b0x+2J9v"!#<$"1AD:y5S)o"!#;$"24'zu4U&ei"!#<$"2#)o(*zA2Rc"!#<$"1s)yOdqE]"!#;$"2<]448[AW"!#<$"1QY8Pqt#Q"!#;$"2&[H*o`FUK"!#<$"2k3Y&yG!oE"!#<$"1YV'GDR0@"!#;$"29h$4sd]b6!#<$"1MQ)y[k<5"!#;$"2vcQiWq$\5!#<$"1%>0Xx<P)**!#<$"1m&*=)=)4)[*!#<$"1iR.yE>2!*!#<$"1`X_JOGT&)!#<$"0`&e94f!4)!#;$"1/kElTFbw!#<$"1r\3*GNaB(!#<$"1Q`TH67Jo!#<$"1YVU'GEBW'!#<$"1LbQeg**og!#<$"21$)R(z%H5r&!#=$"13>*4V#Go`!#<$"2utFkzq0/&!#=$"2aB'oYOnFZ!#=$"1lrRCkLHW!#<$"1:UR7TFXT!#<$"1X:SlV<vQ!#<7S$"1y3?o:r3G!#;$"1Ptj\u/mF!#;$"2Zaw%*H^6s#!#<$"2/a!Q7N:uE!#<$"1*=p)3*)=DE!#;$"0&Q"Q4'RuD!#:$"1T/_1o">_#!#;$"2UGQmE&*yY#!#<$"2b6#3?vZ7C!#<$"1C82*y5eN#!#;$"1>YFIG/)H#!#;$"20w,\I@$RA!#<$"2493W;$zz@!#<$"22Kw_0/'>@!#<$"2FY7hu(*)e?!#<$"2_R[+e:y*>!#<$"2P]u^&f\O>!#<$"2YkZa$Q2v=!#<$"1n\A%H!o8=!#;$"1y@F#4UCv"!#;$"1jfy"H"["p"!#;$"1l(ew!\"4j"!#;$"2Fk-pfa3d"!#<$"2)Q*RoQ19^"!#<$"2DjlBWqEX"!#<$"1#R"Hs3u%R"!#;$"1[v\ubqP8!#;$"1X![$>hk"G"!#;$"2lmn0nPmA"!#<$"2:oTD%*[F<"!#<$"2#Htx#>U+7"!#<$"2,\l![Kdo5!#<$"0t+Fc"R=5!#:$"1&f(epIS&p*!#<$"11s$*Q[c?#*!#<$"0&=.C2rf()!#;$"1e@;W>48$)!#<$"1c+!*RI!4)y!#<$"12(>0'RGju!#<$"1'Qn\KA.1(!#<$"1i]SLe0sm!#<$"0Krk![Z)H'!#;$"1([2(H[_Rf!#<$"2%y#p5[4^f&!#=$"2%*yp+7$4l_!#=$"2DMpyr.$\\!#=$"1@@_3d`ZY!#<$"1iPfUGbfV!#<$"1OYYD54&3%!#<7S$"0*>]DYzlF!#:$"1`BQXv0DF!#;$"20HH(f@=#o#!#<$"1%oo-)))GPE!#;$"17/b(G-0f#!#;$"2'y`Nd0&>a#!#<$"2d:>)y[w"\#!#<$"1`f%z')y+W#!#;$"1&R_,)z-(Q#!#;$"2XN<a#*[FL#!#<$"2%eL_*3ztF#!#<$"2C7eZ'f0@A!#<$"2E7.Lf;R;#!#<$"0xrj-(41@!#:$"1/X(>!=tZ?!#;$"2$3X)RW`*))>!#<$"20cd\)>*)H>!#<$"1Xe#\^u1(=!#;$"2`0S"eZU6=!#<$"2DS![zEE_<!#<$"2'\j*>7/Lp"!#<$"2e@rnZgYj"!#<$"2\AUgQQkd"!#<$"2CcU-[R(=:!#<$"1X8P\,mh9!#;$"2KrU)[8H09!#<$"29;=(R%=(\8!#<$"2B;*)H1@]H"!#<$"2(H:NZIFT7!#<$"2Kc+(\Ba)="!#<$"1G!yt-"*o8"!#;$"2;7?5Cvj3"!#<$"2.(**o'GXq."!#<$"1#e/$elX*))*!#<$"1CYV97:@%*!#<$"1=;!z[oe'*)!#<$"17U9)G&)Q_)!#<$"1jQ<C`U&4)!#<$"1n\bO3m!o(!#<$"1cn'*)\9(zs!#<$"0J#\p9m#*o!#;$"1Kgur:`>l!#<$"1%=xge6.;'!#<$"1MROJw%\"e!#<$"1@jK=wM$[&!#<$"1CQ$ev$Ql^!#<$"1^SM#4&*3'[!#<$"2NAt`2!ppX!#=$"1*ygF6\:H%!#<7S$"1^i$4P:Ss#!#;$"21(H3]X3&o#!#<$"1Jjr1Y5WE!#;$"2CMWI)o=,E!#<$"2X0DckYkb#!#<$"1'[.;d-+^#!#;$"2c0$*oAw>Y#!#<$"2uz$\R:\7C!#<$"/l6rUnhB!#9$"2iLM-\^'4B!#<$"2to7'\5bcA!#<$"2<Yu72,D?#!#<$"1lSuT%Hw9#!#;$"2E0z-Kj?4#!#<$"22qYEmGf.#!#<$"2ZYMGw\$z>!#<$"2[&3!\")[C#>!#<$"2D8yp\X`'=!#<$"2&zIBzl:3=!#<$"1A#ytb&*4v"!#;$"1/i58B(Rp"!#;$"2E*ef-G>P;!#<$"2t(G,u(e2e"!#<$"2;%3q9vwC:!#<$"1yk`G;Jp9!#;$"2&Q,qV)yWT"!#<$"1;+!4&=Ng8!#;$"2&R.)=<3qI"!#<$"2MdXy0?XD"!#<$"2&QXC<W&H?"!#<$"2je"=sFP_6!#<$"2N!ybU7$G5"!#<$"2h![*ob!Qa5!#<$"2c+d')3mq+"!#<$"0Bqw;z#4'*!#;$"10`-*34+;*!#<$"1k,sg#[Js)!#<$"1;6#*oW%*)H)!#<$"1#=$H*4(f()y!#<$"1$R]Use#*[(!#<$"1tX$p$o./r!#<$"1PRn9d*>t'!#<$"1LXm%ReJP'!#<$"0([uW(3v-'!#;$"2:![Q7O*\p&!#=$"19jPN]_v`!#<$"2&G#)=)\#)*o]!#=$"1H$=&=_@vZ!#<$"2'>NB\W/%\%!#=7S$"2v@ds(zL$o#!#<$"2DpVp%>5YE!#<$"1`i%3k,pg#!#;$"1,`I\,%ec#!#;$"2wlm_DCI_#!#<$"2#zOKtRcyC!#<$"2yZ+53sDV#!#<$"2([d0XO;&Q#!#<$"2Q*=dXbXOB!#<$"2&)pe0+mlG#!#<$"2)Hcu$49cB#!#<$"1[C;3$>P=#!#;$"2:P:!o5+J@!#<$"2/*pD"Hyv2#!#<$"2'pI7b*oN-#!#<$"1C1xw'*3p>!#;$"2'H'**4JbU">!#<$"2'[$yocy"f=!#<$"2iy>\kpR!=!#<$"2Z/xi*et[<!#<$"1&QR_]"e$p"!#;$"2Qo?h>2'Q;!#<$"1E$Ra'*4Re"!#;$"2Y)\4SGeH:!#<$"2)f^0iYrv9!#<$"2%[R()**)*QA9!#<$"2pPzr[)op8!#<$"27W%3)o&o<8!#<$"2(HHI*)>Xm7!#<$"2zg%e=I0;7!#<$"2PKF*)[\l;"!#<$"2m"e(y;(*z6"!#<$"1A73roWq5!#;$"2k%)p"zW%R-"!#<$"1#\u&o(4`y*!#<$"0_^98DCM*!#;$"11vX8[56*)!#<$"1$y_h<;;\)!#<$"1xv.m6=%3)!#<$"0P4zix*)o(!#;$"1s4Qg291t!#<$"1c:k)pkd$p!#<$"14BW4U!zd'!#<$"1)p*H$[wDB'!#<$"2a(G.4Iw**e!#=$"1U*yf^6%zb!#<$"1dZbpzVr_!#<$"29+YigGd(\!#=$"1=()f%*>9#p%!#<7S$"1c.)4GFPk#!#;$"1-NGXI33E!#;$"2d/Z!\_bqD!#<$"1QP#QYR7`#!#;$"2K$))oMZB!\#!#<$"28Grf;VwW#!#<$"2WDn&*\pNS#!#<$"2Axg#)o?"eB!#<$"2ZsnkY09J#!#<$"2lb$z?R`jA!#<$"210_F1<Y@#!#<$"2)yL$fSmZ;#!#<$"1:]$)\N49@!#;$"1x)zCx4F1#!#;$"2oNVQjD2,#!#<$"2G%f*>f]#e>!#<$"2(G<uLER0>!#<$"1<sR@zD_=!#;$"2e?5sX]*)z"!#<$"1Bowm<dX<!#;$"1Wvd-1A#p"!#;$"2xLr)oE**Q;!#<$"1TGYo.)fe"!#;$"2`_"RsDFL:!#<$"1ui'GTa4["!#;$"2)fT))*42"H9!#<$"1%pI<w2yP"!#;$"2Gv5%4$HrK"!#<$"1Vm!\KSrF"!#;$"2z-8I(\!zA"!#<$"20oej$H[z6!#<$"2.I$4t$H>8"!#<$"2;#[f'*[H&3"!#<$"2XdQkdD'R5!#<$"1sWm(fH'\**!#<$"1'p057TM^*!#<$"1Tajln,)3*!#<$"1$GbR]ROn)!#<$"1/.)fx\0F)!#<$"1pW%[cY*yy!#<$"0Q!z3'))*)\(!#;$"1B:yOdzIr!#<$"0X,ZJ]Wx'!#;$"1sb.*y)**Hk!#<$"1=Y&\J`u4'!#<$"2NRReX$zwd!#=$"1J7\Tz'zY&!#<$"1'[fDZ'*3<&!#<$"2&[l2f:Z&)[!#=7S$"2'Q6k%))[^g#!#<$"1f?(y;,5d#!#;$"1Z*=_nY]`#!#;$"1eIs<TP(\#!#;$"1HqGta2eC!#;$"27OgPhXsT#!#<$"2W&[(\#>)\P#!#<$"2wR\=#RQJB!#<$"1P(z1'Gb'G#!#;$"1$352N"fSA!#;$"2[O]q'Hg$>#!#<$"2zwbp'=pX@!#<$"20'\U6C'p4#!#<$"2Pe+Sz=v/#!#<$"1m2dyYY(*>!#;$"29Nvy%G!p%>!#<$"1,_Jk[$f*=!#;$"1l*[XugY%=!#;$"2EJS#\'yJz"!#<$"1%f!>*e%eT<!#;$"2ARe*[@(**o"!#<$"2#4-$*GAVQ;!#<$"03mm!G0(e"!#:$"2[r,#=(=f`"!#<$"2uSY)f96&["!#<$"2iVt3,4ZV"!#<$"2j%)ftn&y%Q"!#<$"2QD%Hd>TN8!#<$"1Vy$pUamG"!#;$"2i9%H[cdQ7!#<$"2L`>u4M7>"!#<$"2Js)=8ToW6!#<$"2"*G>g'e(*)4"!#<$"2z*e&fMbT0"!#<$"2aP?%pVE55!#<$"1[WZQgSt'*!#<$"1/D[$4wTD*!#<$"1A$eZ'*[_%))!#<$"1OR2"**zoW)!#<$"0Q(39cGf!)!#;$"1Zw0yVk#o(!#<$"0(*o&[!)4<t!#;$"1AJ)*QGvip!#<$"10i?L2o>m!#<$"1h.J$*3#zG'!#<$"1.ceS6[nf!#<$"2WJ5()\R$ec!#=$"2M<8zyX/O&!#=$"1(Ha#fKst]!#<7S$"1O-5L#pvc#!#;$"2X3*z-)H[`#!#<$"1r"Qikc.]#!#;$"1::&f?KUY#!#;$"2i5Ln*>aEC!#<$"2k'[TpUP(Q#!#<$"2D,vzm>oM#!#<$"2[%H$=)3(\I#!#<$"0D'=&HA>E#!#:$"1ZBBN'px@#!#;$"18>4@'4E<#!#;$"2d*Q@:'Rl7#!#<$"2#zI**yslz?!#<$"1U<FM-1K?!#;$"2k/FBtXQ)>!#<$"2<!o'=L5^$>!#<$"1=$oue\f)=!#;$"2`!)*z\xXO=!#<$"1&>h)yus'y"!#;$"2&>LPr&\ot"!#<$"2)=5L.F"po"!#<$"2V%*=')=.qj"!#<$"2CqoWv/se"!#<$"2D;9WL)fP:!#<$"1Z*y#z=E)["!#;$"2LB2m=q#R9!#<$"2<BF)[Zp!R"!#<$"29e;.i.EM"!#<$"1#o@MIh]H"!#;$"2[9pLlG"[7!#<$"2N-)*=!G'=?"!#<$"27#oL*4<j:"!#<$"2)=.vu5a66!#<$"2UL)o8/en5!#<$"2$[?)H&pZC5!#<$"1"QX&>poA)*!#<$"1#*zR$>)*)4%*!#<$"1bYS^vq1!*!#<$"1_i(f1#Q8')!#<$"1Nd(RP_,B)!#<$"1f\*>\8s&y!#<$"1j6NXds%\(!#<$"1h^1,e"G9(!#<$"1Wm!\zx:!o!#<$"0h%\UX2rk!#;$"0^6W#)Q8:'!#;$"2/oJ`tuB%e!#=$"16(ps3fTa&!#<$"1fGAdGkc_!#<7S$"2a$ofoc&4`#!#<$"2oWCdsU&*\#!#<$"2GB"RgbYmC!#<$"2%H=#)z3!=V#!#<$"2<C80GGcR#!#<$"1LTiW*H!eB!#;$"2'3!y+L!4>B!#<$"23q3g&e*)yA!#<$"1@'y^eMvB#!#;$"2/V"*\!f4&>#!#<$"2)=:q3-n^@!#<$"2)*4$Ry&[t5#!#<$"20Li7ZAA1#!#<$"2M=(o5MQ;?!#<$"28B7NoA*p>!#<$"22k4\/JH#>!#<$"2we/@V)\v=!#<$"0%G<)o8x#=!#:$"2tNKqHk'z<!#<$"2(4)e18O9t"!#<$"2(*=f%4K6$o"!#<$"2FoPmZxZj"!#<$"2oU&G(e3le"!#<$"1>7#Gr$QQ:!#;$"1QUIhtZ!\"!#;$"2wyLS@hGW"!#<$"2C=X(yRg&R"!#<$"2nK1'f7x[8!#<$"2_u;TWDCI"!#<$"2N&4"pgDmD"!#<$"2(>4PIuU67!#<$"1<(f=9$)o;"!#;$"2=x*Hn9/B6!#<$"2p[N2gZ*z5!#<$"2%**=W*=Vw."!#<$"1;OoSLmh**!#<$"19()RKg^b&*!#<$"1w^y>1Ie"*!#<$"1"oQD8$Hq()!#<$"1j4C>bt"R)!#<$"1[_*GIOG-)!#<$"0ilWMrPm(!#;$"09Lgq%o9t!#;$"1A*z\g*ovp!#<$"0Tt/Xpok'!#;$"1%z]M&*y#Gj!#<$"2'f%)G,`%*>g!#=$"2Oj&Q)Qp=s&!#=$"1G6*R4FSV&!#<7S$"100WokF&\#!#;$"1%***R(49^Y#!#;$"2='3/WONLC!#<$"2Xp77cm+S#!#<$"1NJ;>qKlB!#;$"2l^f4j6#HB!#<$"2)GN+s"*z"H#!#<$"2=Aq]HqJD#!#<$"1$R1BC2M@#!#;$"2/-=cb$fs@!#<$"2uthoy838#!#<$"2*GAB4K:)3#!#<$"2V]07`(pW?!#<$"2#z"eVhK0+#!#<$"1f`L'>Wd&>!#;$"2l/&=?wT5>!#<$"2bc:7dPY'=!#<$"1#GlC#y[==!#;$"1a4!)*)40s<!#;$"1FNe(H3as"!#;$"1H%edNR'y;!#;$"28UU"\>#=j"!#<$"2K%4fR=.&e"!#<$"1--k"eU$Q:!#;$"2E%p7_`#=\"!#<$"0w'>%z[bW"!#:$"2#o--w)y&*R"!#<$"2G%\Wk(yRN"!#<$"1J1s8(3)38!#;$"2C"*[$pf7k7!#<$"2Cw?qo%)*>7!#<$"26gCl'eVw6!#<$"2L'yU+t_L6!#<$"1,+EPNI"4"!#;$"2xJa)ee!)\5!#<$"2M*)R9Fs!45!#<$"1H%Q,5v8p*!#<$"1kSoa0L+$*!#<$"09q*Q;(y"*)!#;$"0U'eu!\Ua)!#;$"1:'39E#oz")!#<$"1>]G(*)fV#y!#<$"1cHd#pS%yu!#<$"1j75sT0Ur!#<$"1R.(pb,`"o!#<$"1wY\=nD)\'!#<$"2&4!Ql>n4>'!#=$"2&Qv[u_X$*e!#=$"1e+;.">dg&!#<7S$"2Xli&o3]gC!#<$"2$R#e0a=:V#!#<$"2Kd?93,5S#!#<$"2tKQS7:!pB!#<$"2t\/u&)HcL#!#<$"2'4i#zx;4I#!#<$"2YE(>N%\\E#!#<$"2tn$\tJ!yA#!#<$"22[d-([b*=#!#<$"2M1JGn#G]@!#<$"2Oe$pMd15@!#<$"2xxKC&R)*o?!#<$"2bsfYq<r-#!#<$"2-lTSfZX)>!#<$"1C%)e$>a8%>!#;$"2B+$G)z<w*=!#<$"2:b%4$==M&=!#<$"1;kNoV$)3=!#;$"2N\HMRWRw"!#<$"2j"e]*4D)=<!#<$"2XVPB#>bt;!#<$"28:.cp)>G;!#<$"1d,blu$Ge"!#;$"2WPquJQv`"!#<$"2$zD\9#pB\"!#<$"1c<4\eRZ9!#;$"2nLPw]"o-9!#<$"1zCA[pGe8!#;$"2ZyP>HqUJ"!#<$"2Cmvw#poq7!#<$"1nfZI%*eF7!#;$"27\]L\F]="!#<$"1'[`C(y/V6!#;$"2V7)RXVp,6!#<$"1`^X#o251"!#;$"2d,5.jD5-"!#<$"1/)*)*z!Hy")*!#<$"18O$f97JV*!#<$"1"RR:[#Rc!*!#<$"13eNat#zo)!#<$"1jb%yrWzK)!#<$"1wcQ1Pkwz!#<$"1P"=,A&>Mw!#<$"1BzC$fU2I(!#<$"1Jf?RBSwp!#<$"17N'f'\Ehm!#<$"1c3qaeRbj!#<$"1&3$*\>O)eg!#<$"119opRgrd!#<7S$"1Mafv!*fEC!#;$"2jp*f*>J()R#!#<$"2w>'p@")QpB!#<$"21;cx/K'QB!#<$"2vw$\)eFlI#!#<$"2uH(*Q`TJF#!#<$"2BlzCiU&QA!#<$"2e#*fkI,G?#!#<$"2jR$*R^*)f;#!#<$"2%4ic4/=G@!#<$"2xMjO:[%*3#!#<$"2E8/Gmn)\?!#<$"2()))=5P9&4?!#<$"2Nt8Q*RYo>!#<$"2V*zj&H#zE>!#<$"2umI='[d%)=!#<$"2mUzf(o)=%=!#<$"14yd.H!))z"!#;$"1AU"Go'Rb<!#;$"2iLqK#4u6<!#<$"2LSZK62zm"!#<$"2.WwjLlRi"!#<$"2&4S5)4%)*z:!#<$"2%)QyD;Ig`"!#<$"2u8$R+%o@\"!#<$"2/.wvkh%[9!#<$"2#p?9w0(\S"!#<$"2ylfkd`<O"!#<$"110h^m')=8!#;$"23gbQKjjF"!#<$"2<=`Kb%HM7!#<$"1<)4%o'3F>"!#;$"2-5$G48l^6!#<$"2M?%*=Ql66"!#<$"2vU^Z-"Hr5!#<$"1t:t'el?."!#;$"09]6;O_$**!#;$"1MYB/'opb*!#<$"10flmF9'=*!#<$"1QSc:0-B))!#<$"11sS7j$yY)!#<$"1wt>+wz?")!#<$"1bm_v_3#y(!#<$"1-M#)RU&=X(!#<$"1y,:CSBIr!#<$"1w3q"[Ht"o!#<$"1Zn/U:A8l!#<$"2k*y6@!oz@'!#=$"1&[y3[/;$f!#<7S$"1:!)opAa$R#!#;$"1^q&fyFnO#!#;$"2QM&zm^\QB!#<$"1Pe(pa-*3B!#;$"2mMMVK5!yA!#<$"2%pI)[&4)eC#!#<$"22#[3V(yD@#!#<$"2a;q#G'p"y@!#<$"23'e=o4sU@!#<$"2)[Lm?8I1@!#<$"1-1RC-)*o?!#;$"2_cf(zz#3.#!#<$"23([uIa">*>!#<$"2NpZ([PJ_>!#<$"2-o6$>U47>!#<$"2aN'eK!G8(=!#<$"2B-x$yg3I=!#<$"2'p,eY(Q%)y"!#<$"2&H!fPtbku"!#<$"2'Qlcce?/<!#<$"2VAsE(ovh;!#<$"2NO'z4`<>;!#<$"2M7*R.j_w:!#<$"1b^^VM(Q`"!#;$"2[Dl6jy7\"!#<$"1(*orW>!)[9!#;$"2FE0l^,lS"!#<$"2bil*>MVk8!#<$"2=!zYn:lA8!#<$"1tU)*=w?"G"!#;$"26Bi;!4:S7!#<$"2`)zJS$G&*>"!#<$"2K[4))R%Qf6!#<$"1[X>K5w>6!#;$"1i#G&\wp!3"!#;$"29q/r3JA/"!#<$"2%*4->f&R/5!#<$"1(zr%\"GAn*!#<$"1UZuU"=uI*!#<$"0#e>r1z\*)!#;$"1`5_4\e*f)!#<$"101CHZ,d#)!#<$"1bI$G2pA#z!#<$"1v'*y-C^&f(!#<$"1bom?_)oF(!#<$"1x)f5l/l'p!#<$"1wRI&3lWm'!#<$"1:Aiz)Q3P'!#<$"1Q)*Q-rn&3'!#<7S$"2Ul!*)*f-8O#!#<$"2(4<b6Y[NB!#<$"2/<pH%GI3B!#<$"28'Rj!o6)zA!#<$"2KAc7kn+D#!#<$"2V#yS&=H">A!#<$"200]m_cq=#!#<$"0#e,P9"R:#!#:$"2F3A(\qv>@!#<$"2Dc*)*fwl%3#!#<$"2/BV[_y'[?!#<$"1[&eFm&)=,#!#;$"2l:0SlXV(>!#<$"22$>_Ua7O>!#<$"2E,N,9#H(*=!#<$"13S!R$G"z&=!#;$"2ZC^tRa!==!#<$"2y$[H1Lyx<!#<$"2=(*o*fa;P<!#<$"2tEu!3gE'p"!#<$"2(**yN%=\^l"!#<$"2(ptFZ"yQh"!#<$"2U@a#G[^s:!#<$"2%4V(zy>6`"!#<$"1229"3_(*["!#;$"1^I.I"p%[9!#;$"2K+vrgEtS"!#<$"2CQetKyjO"!#<$"2d))>#\hnD8!#<$"2lx8l))p_G"!#<$"2.8s"Hs?X7!#<$"2Xl$>uO`07!#<$"2#)G_jY#Hm6!#<$"2z:p'[X_F6!#<$"2E:XD_o#*3"!#<$"28S2uhg:0"!#<$"145opYV95!#;$"1iAe36Az(*!#<$"1&)=+W'>0U*!#<$"17gs6&3&o!*!#<$"14Z&3.IMs)!#<$"1n')yXG]&Q)!#<$"1(o9d@A\0)!#<$"0nnYPg=t(!#;$"1Oo#z&pY;u!#<$"1w_M!\p)3r!#<$"1"*e3KR<4o!#<$"1ir8x_Y<l!#<$"1(=<**>3QB'!#<7S$"2.?AO<`)HB!#<$"2W4rBhy\I#!#<$"2Q)*)fe?zyA!#<$"28o"pVWM^A!#<$"2y::[q)oAA!#<$"1TE=:'zG>#!#;$"2E%Q65O(>;#!#<$"2/&pl4'G+8#!#<$"1.0bQQ5(4#!#;$"2%RVIW'fK1#!#<$"23iwTJd&G?!#<$"0`<=*)eI*>!#:$"2bdRV*p#o&>!#<$"2#y*f0jC*>>!#<$"1e@9@]T#)=!#;$"2-BT8UhV%=!#<$"1lH.Zp#e!=!#;$"2:zwYSuow"!#<$"2:wJe7mvs"!#<$"2ks4o!Q'zo"!#<$"2s78SNG"[;!#<$"2$)[lat>"3;!#<$"2`f,!Ro*zc"!#<$"17=aPt"y_"!#;$"1"fI=cPw["!#;$"1MY(4Q7vW"!#;$"1p+2"4&\29!#;$"2X+i@JPwO"!#<$"2'pNt$*)))zK"!#<$"2WPv)Gyf)G"!#<$"2)\2Cx,^\7!#<$"225Zo**p2@"!#<$"2;&*RZG>C<"!#<$"2>>$\Ez\M6!#<$"/"yWlVq4"!#9$"2(fPz9?4g5!#<$"2%fQrUjnB5!#<$"1o'*okuFy)*!#<$"16!)\"*4vD&*!#<$"1*[b[Q]%z"*!#<$"1&)fAU(>'R))!#<$"10H-G5[1&)!#<$"18#G,HM-=)!#<$"09*oUz0hy!#;$"1VZa6"4"\v!#<$"1%)eZQS_Ws!#<$"1$pR.a=u%p!#<$"1*)R/>&))yl'!#<$"1n'Q#=0,wj!#<7S$"2v@v9/o"*H#!#<$"1R2(QO(=vA!#;$"2[!)y.0W*\A!#<$"2<[")Q%e[BA!#<$"2CJ#\wB'e>#!#<$"2=<hZ,Dr;#!#<$"2$o.'4qEt8#!#<$"1li8"z@l5#!#;$"2#)4<1*ewu?!#<$"2/Eqwo:@/#!#<$"2&*>,gyG'3?!#<$"2nG"yONOu>!#<$"2&[O)3()y$R>!#<$"1_S*>8MP!>!#;$"2#\'[7"*)[n=!#<$"2u6KS)GqI=!#<$"1jza\cV$z"!#;$"2Yr[PdYdv"!#<$"2iV'=OYp<<!#<$"2zq98GQ$z;!#<$"1V9uu_tS;!#;$"28H)*[cU>g"!#<$"2j)ob]h,j:!#<$"2[H&ea4,C:!#<$"2L'**H/2)\["!#<$"215H(=y(fW"!#<$"23#Q1.L029!#<$"2e%G`]mDo8!#<$"2U-'*=vN'H8!#<$"2Bb6F"oB"H"!#<$"0J"\yU5`7!#:$"2#e!>yw!G:7!#<$"2-OnM,2y<"!#<$"2'y1^6=sS6!#<$"2MV&Ry>1/6!#<$"2z4#*eJiy1"!#<$"2P3?Qeb@."!#<$"1a0//[sp**!#<$"1h=*3I;Mi*!#<$"1fX9'y&*GG*!#<$"1v6;^zS[*)!#<$"1N()35o<?')!#<$"1>"*p`eS)H)!#<$"1ziIl#yK)z!#<$"1a0j&>d\n(!#<$"1*[BL4'ett!#<$"1lKt(3*Gzq!#<$"1*p"Q?9<#z'!#<$"1Oj`@*>B^'!#<7S$"1bcRy@ApA!#;$"2=8L'*3*3YA!#<$"1pHo>/u@A!#;$"1(\jc'4A'>#!#;$"16Gx/tdp@!#;$"1<\$Hld=9#!#;$"2-a)z><68@!#<$"2k=(pg0R$3#!#<$"2))>&=Eku_?!#<$"2Y^n(4EB@?!#<$"1%eSWH.*))>!#;$"2%[$e')R8e&>!#<$"2%H1LA%=?#>!#<$"1e:X$Huv)=!#;$"2O5Vf@PD&=!#<$"20P$G>N'p"=!#<$"1K6Z5&44y"!#;$"2$[v&)G8VW<!#<$"2t(HN/[e2<!#<$"20d"\>`Uq;!#<$"1_#4en2Ij"!#;$"2tih\'fQ&f"!#<$"2k"z(\W8wb"!#<$"2U*[,ACu>:!#<$"1=>%z8C=["!#;$"11R0k'3RW"!#;$"1pW<,[/19!#;$"2%)*fP')*z#o8!#<$"2b53l?g1L"!#<$"2B)**o=*HKH"!#<$"21'o)y(>.c7!#<$"1=blrv5>7!#;$"2^94@;'\#="!#<$"1Cz6NaBY6!#;$"1#oGnDh.6"!#;$"2e"\vOw!\2"!#<$"2Xzd%*p1*R5!#<$"2KC47m)Q05!#<$"1QK+]"=Qr*!#<$"1QvJ;_7z$*!#<$"1et)R2_+0*!#<$"1(Q%f!oBos)!#<$"1PPb)yX'4%)!#<$"1*QHL50()4)!#<$"1X0)p\pTz(!#<$"1[!4UF)='\(!#<$"19N%z[#*[?(!#<$"1.lQ,`R?p!#<$"1H!fLR#zUm!#<7S$"22A$4i9**RA!#<$"2kw'[kEm<A!#<$"17algJ;%>#!#;$"2=PSK-N&p@!#<$"2$fst-?#Q9#!#<$"2="RD)Rpq6#!#<$"2c.v[#RK*3#!#<$"2Cpv"yNjg?!#<$"2$y;V'\Z5.#!#<$"2o'z2@eh+?!#<$"19n'fb*Qp>!#;$"12R(fU?u$>!#;$"20_)\N2w/>!#<$"2EB!RFKYr=!#<$"2ZIJG%4eP=!#<$"2'p`o#3nJ!=!#<$"1m0"3([Fo<!#;$"2U.<)>u&Ht"!#<$"12"H(*fnsp"!#;$"2a6"**4zDh;!#<$"2%eABb.)\i"!#<$"2)z6=Dj[)e"!#<$"2(*R%4zk#=b"!#<$"2[8N]j]]^"!#<$"1*H5Vm2#y9!#;$"2,yV8RX8W"!#<$"2#4QB*\5XS"!#<$"2cF67W[xO"!#<$"2ap%=eL5J8!#<$"2s7ED+=YH"!#<$"2O,@#oOLe7!#<$"1cPZF,HA7!#;$"2$\,$QdDl="!#<$"2kYZ=dw5:"!#<$"2$3NJ8!yf6"!#<$"2[K()*zIE"3"!#<$"27R1G@jp/"!#<$"2(='yu33J,"!#<$"1L2_jfD(z*!#<$"0)>Jk$=%o%*!#;$"1:z&Q.6[9*!#<$"0ZwP"*em#))!#;$"1nV5&)*oT^)!#<$"1t>!pPIv?)!#<$"1krnEX"p!z!#<$"0"R>!RvCh(!#;$"1bQ5)p\VK(!#<$"1etscslUq!#<$"1zs@!H,vw'!#<7S$"1e#)Q\EX6A!#;$"2B#o48w))*=#!#<$"2/oE8o%>n@!#<$"1eW@/MTV@!#;$"23Y0S"\e=@!#<$"2L1Sn!=v#4#!#<$"2[L%y?!ef1#!#<$"2DR)o7([#Q?!#<$"2P!='38q'4?!#<$"1H%ev[p-)>!#;$"206k'H[4]>!#<$"1*yy(3\>>>!#;$"2Xu!3^!>w)=!#<$"2fCau-<a&=!#<$"2%3LNC*QE#=!#<$"2QZje,N$*y"!#<$"1$o5ujbbv"!#;$"2jQ^:1^8s"!#<$"2LYhiPrno"!#<$"1mH7mj'=l"!#;$"2&)o(y'R&o;;!#<$"1U^2.tF"e"!#;$"2d^R5G!pX:!#<$"1ykJ%yr*4:!#;$"2&*QN]UoTZ"!#<$"27$pbzeKQ9!#<$"2E[p#*z)[-9!#<$"22_]ms+nO"!#<$"2$Q?x;S+J8!#<$"2A@,WwRaH"!#<$"1e*>otZ+E"!#;$"1^%fCJm[A"!#;$"2'p$=aUK**="!#<$"20m1f^"Gb6!#<$"2iKIm[Z47"!#<$"21$p5lE'p3"!#<$"2Xiw=xdL0"!#<$"1=%\X*=;?5!#;$"1(RkgnCS()*!#<$"1j"4&yD0^&*!#<$"1v&QQbVHB*!#<$"1a-g*p@*>*)!#<$"1)39cK%>7')!#<$"1e))3??&*4$)!#<$"1L:<k(oL,)!#<$"0rUG4-Es(!#;$"1$\Z**H$zPu!#<$"1O5/&on!fr!#<$"1%yN'R[`')o!#<7S$"2Gcv5N$e$=#!#<$"2_Hx[5WF;#!#<$"2a:p)=y"39#!#<$"2e&\C0<%y6#!#<$"2;w='oW&Q4#!#<$"2m^&e(>'*)o?!#<$"1:tM`#3I/#!#;$"2tBPe:Li,#!#<$"1(>yxY9'))>!#;$"2PT<rn'>g>!#<$"2GOy#y]-J>!#<$"2x*4n_c9,>!#<$"2n,)*)[\gq=!#<$"2dx*3j*\%R=!#<$"27T$z>!Gx!=!#<$"1tE$Ql'[v<!#;$"207WN\tFu"!#<$"2(pFyXhj4<!#<$"2e#f2$3Ahn"!#<$"29F)GL&yAk"!#<$"1')Q9sB:3;!#;$"2cSK*=+zt:!#<$"0$oqNtBR:!#:$"2$)[f-`RX]"!#<$"2U<TJ1T(p9!#<$"1*pl*eb)[V"!#;$"219>As:+S"!#<$"2%f"pxDt^O"!#<$"1(zXiz)RI8!#;$"2[!3WC=t&H"!#<$"295[3i57E"!#<$"0dVk>soA"!#:$"2Q:y2C_F>"!#<$"2VBMM2&))e6!#<$"2&*or3g.`7"!#<$"1Eqmy#R?4"!#;$"2#*[E"z?7f5!#<$"2hSKUY!eE5!#<$"1y8hQOTW**!#<$"1'f4>f,ti*!#<$"1"o$*>r1ZJ*!#<$"1DAJT:&o+*!#<$"1^Q-QH%Rq)!#<$"1Z,)e5shS)!#<$"1`+IpYr8")!#<$"1J<&=zIn#y!#<$"0BPiLl`a(!#;$"/8xj![(ps!#:$"1&\^7(Q****p!#<7S$"2[N"y0?Oc@!#<$"2nHQf%H@O@!#<$"1U^$*\e,:@!#;$"22jp3w0G4#!#<$"2$Q0BI">'p?!#<$"1w;R=P\X?!#;$"1iwP#\o/-#!#;$"1NzG@Ne%*>!#;$"2Vfq(p)zy'>!#<$"2j)3%**[*RS>!#<$"2XaS@6&=7>!#<$"2'GP$\8!G$)=!#<$"1aHt9&GP&=!#;$"2%HVWbYdB=!#<$"2)eb^)HjGz"!#<$"2XliPTR;w"!#<$"2<3U84[*H<!#<$"2lTC_VMyp"!#<$"1eL^eMMl;!#;$"2%Q/%4)*>Dj"!#<$"2`#3&)G&3%*f"!#<$"12(zzB`gc"!#;$"2([:Ifx\K:!#<$"2oY;#o^y)\"!#<$"29,>t(y&\Y"!#<$"2(4](Hbd5V"!#<$"2B#="f.DrR"!#<$"1<l+m-?j8!#;$"2%o`V6AKH8!#<$"2:dEB!)GbH"!#<$"2B_O!po&=E"!#<$"2#p$[^3U$G7!#<$"2$3+F:*=]>"!#<$"2EM(on0#>;"!#<$"2'ev!>&*y!H6!#<$"2Hg16kCl4"!#<$"20tu%RoGk5!#<$"1"fMWN$RK5!#;$"2,J(ot0(3+"!#<$"1'**Q-ZMup*!#<$"100AGZN!R*!#<$"12#=8*oo(3*!#<$"13JQ#pO'*y)!#<$"1v%\d@&R'\)!#<$"1ESZQ*Q"3#)!#<$"1z%f@")H]#z!#<$"1Lms$Q:sk(!#<$"11")R`*G[P(!#<$"13l1o(*)z5(!#<7S$"2))f-K&ywH@!#<$"1WvmobF5@!#;$"2(G:)o\s(*3#!#<$"2Lp!\m;Ho?!#<$"2N/)yNu'e/#!#<$"2(f**H,a`A?!#<$"1Hi$QIK$)*>!#;$"1B)\B$fHt>!#;$"23[df-lu%>!#<$"2wJvW<z3#>!#<$"1\_#yryN*=!#;$"1%)ymWYgl=!#;$"1feh!\)*p$=!#;$"2(\$yjB-y!=!#<$"2'GE=1#e!y<!#<$"2EH7o'*3yu"!#<$"2m(RfFs4<<!#<$"2UPb;ulfo"!#<$"1Row3sXa;!#;$"2FIn+=9Ei"!#<$"2CQi\'*y/f"!#<$"20po/a$4e:!#<$"2\hjKY*\D:!#<$"1RRo%yPF\"!#;$"2)e.!*o*[)f9!#<$"2ZixW"G(oU"!#<$"2bL7&z$[QR"!#<$"2l7A0"R"3O"!#<$"2eMT_x1yK"!#<$"2bXf%*Rj[H"!#<$"1E#>!3#>?E"!#;$"2zos+d3$H7!#<$"2nnt'[Zw'>"!#<$"2xqmZ&)>W;"!#<$"2"fKh0[IK6!#<$"0(yn(G\/5"!#:$"2f\yRs"))o5!#<$"2w%y)eCHw."!#<$"2tLb$pwr15!#<$"1d%G]v9<w*!#<$"1LlJbz8g%*!#<$"1L%G')*Rmi"*!#<$"1AF>9p\p))!#<$"1KtVHq#3e)!#<$"1&[aB)4$oH)!#<$"1"p`<xrw,)!#<$"1*>-S%))\Vx!#<$"1:Nv9#[WZ(!#<$"14*zSiU1@(!#<7S$"1#\Xq!4y.@!#;$"2`P[%>S"\3#!#<$"1W\cI>2l?!#;$"1mLQ'z&GW?!#;$"2maG(G!)eA?!#<$"1#p)=6A,+?!#;$"2$HNo7Ifw>!#<$"28%[)*)4mB&>!#<$"2lT/D/ot#>!#<$"2$zwmIij,>!#<$"2C#G>t(3_(=!#<$"2`_&f3W7[=!#<$"2y4Q-TA/#=!#<$"2vMRA\U@z"!#<$"2mWdbrCLw"!#<$"1eHb%R4St"!#;$"1KCL/qB/<!#;$"2jYl"*3[Sn"!#<$"1L!fA<$[V;!#;$"2n'H;nEe7;!#<$"1M%p5z'Q"e"!#;$"2&yrD![N*\:!#<$"2G]=zIo#=:!#<$"1_Kf/WU'["!#;$"2nj>9QUWX"!#<$"18nRc-OA9!#;$"1xx$QQ:-R"!#;$"2m&y<(QW!e8!#<$"1z?G&4$)eK"!#;$"2t-&Q#[mPH"!#<$"1)Gu<hG<E"!#;$"2bR9Le-)H7!#<$"11/*[[?!)>"!#;$"2NNLyM8k;"!#<$"2d1tj56]8"!#<$"2)fs9hD%Q5"!#<$"2b]znMNH2"!#<$"2W&G_.fJU5!#<$"2^Q]HX4?,"!#<$"1T+fw(*R?)*!#<$"1U]Q\?IC&*!#<$"1s+WVf,K#*!#<$"0")p4HVP%*)!#;$"1R\F7Jnf')!#<$"1v&)e.;)*z$)!#<$"1^*[-;K[5)!#<$"1\6+MaPMy!#<$"0\QJU\(ov!#;$"1R56%fz!3t!#<7S$"2#*f>z#>Qy?!#<$"2U"\$\%46g?!#<$"2ZQ*Gq()*3/#!#<$"2Lxku"[x??!#<$"0([d'op(**>!#:$"2ezdp3:z(>!#<$"2cPvvvV_&>!#<$"27l)\&Q*yJ>!#<$"1=GwAle2>!#;$"1<y(=]qE)=!#;$"2(*\#G]t2d=!#<$"0uISqV3$=!#:$"2l-(*4s1S!=!#<$"2/0()Q*Rgw<!#<$"1DcLjMn[<!#;$"2Eyp8L`-s"!#<$"1*\4b(>Q"p"!#;$"2()zrP'y4i;!#<$"2"Qk$3ZRCj"!#<$"2aoAc>XCg"!#<$"1Os^!G`@d"!#;$"2V)G[K<gT:!#<$"2ZNmiCG3^"!#<$"1G="*H,()z9!#;$"2;2uFBk([9!#<$"2B#>@woa<9!#<$"1i#Hry`iQ"!#;$"2AU;X.?\N"!#<$"2ObI"p*zNK"!#<$"1x(Qk;nAH"!#;$"1**G$HP95E"!#;$"2"*\4fX`)H7!#<$"2_+%zc`"))>"!#<$"2lLs![+$z;"!#<$"21fyQ\Es8"!#<$"2)HDF9Et16!#<$"2&=fA`_Zw5!#<$"2lZA.:![Y5!#<$"2<Fih">x;5!#<$"10zZ9,ut)*!#<$"1h)erH(3$e*!#<$"1d@nO=(fH*!#<$"1OuK]Hf7!*!#<$"1Uh0zy8L()!#<$"0YdX&=yd%)!#;$"1LjM*4)o'=)!#<$"17Coey+?z!#<$"1:UFj/)yl(!#<$"1oAd@MV+u!#<7S$"1aQR'R_N0#!#;$"2B;Osd\e.#!#<$"2oV,93Qs,#!#<$"2a?d%*pXx*>!#<$"2)ekpV8Sx>!#<$"1K1zw\Bc>!#;$"2C9.%QvFM>!#<$"27`9+(3c6>!#<$"1#=9#Qw6))=!#;$"2%*R;nD")R'=!#<$"1V.O2e=R=!#;$"2_!RNgfw8=!#<$"2F;@S*ov(y"!#<$"22R6V@%>h<!#<$"234DV(Q6M<!#<$"2(f(3T4_lq"!#<$"2j[l4GX&y;!#<$"1wG_]*H,l"!#;$"12Kz[EM@;!#;$"2MQ`a()>Af"!#<$"2X"Rc3!)zi:!#<$"2OAP4B8J`"!#<$"2lzb$e9?.:!#<$"2%*GI)p#)4t9!#<$"2Axw+%)QGW"!#<$"2=j!QuyX79!#<$"2P"G+Y&*)>Q"!#<$"2w_riVn9N"!#<$"1`)*[xW#4K"!#;$"2$Qmx)*GR!H"!#<$"1k[%\</*f7!#;$"24D3&y*)[H7!#<$"2;U$*[8x"*>"!#<$"13:#4e(**o6!#;$"2"\'4mKy*Q6!#<$"20aH.UY"46!#<$"222Zt"z_z5!#<$"2%3Uv^y9]5!#<$"2#[;z6-.@5!#<$"1V[[&=z>#**!#<$"1yM8!3Gnj*!#<$"1e#)Rkhva$*!#<$"1b?y*ofi2*!#<$"1m"\^rB9!))!#<$"0e7l0A/`)!#;$"0KNuE<ME)!#;$"1m/=\1c+!)!#<$"1)oh'*G#*>u(!#<$"1)[t,8Ty[(!#<7S$"2(>*yj[u#H?!#<$"29d-$=P67?!#<$"23Ga4PvS*>!#<$"2j+"*>s&=v>!#<$"1'z**)4@Zb>!#;$"14y;oG'\$>!#;$"2YEbvD(o8>!#<$"2EW(p'Rv;*=!#<$"16bE">e*o=!#;$"2&R'=>Enb%=!#<$"2;b"Gr[`@=!#<$"2$yB=]Q*oz"!#<$"2<Y&QBvnr<!#<$"0`_]j>fu"!#:$"22bjTFa'><!#<$"1Wb7+e"Hp"!#;$"2%eOzo(Qdm"!#<$"2e4C"fy:Q;!#<$"2#)zs1!y?5;!#<$"1_u9-L#>e"!#;$"2nE87)*QLb"!#<$"1h]u&H*[C:!#;$"1m)4nZ3a\"!#;$"2a(\&GYIhY"!#<$"2c(pOP))oO9!#<$"2&zplmn629!#<$"2k'oTTpWx8!#<$"1;.3?:rZ8!#;$"2'37"[2UzJ"!#<$"2WUI,ap")G"!#<$"2cO!GkTUe7!#<$"2ae9MYN(G7!#<$"22-)oy@8*>"!#<$"2mE6jBU'p6!#<$"23J?1r#HS6!#<$"2FL,-z466"!#<$"1(G)4Z(=@3"!#;$"2)3%>"4RM`5!#<$"2KZZ_j3[-"!#<$"1ePZTHNl**!#<$"13'RvX_ao*!#<$"1#*[7f#)e3%*!#<$"1W5MSL&\8*!#<$"0.">P-tk))!#;$"1`c"H'44)f)!#<$"1bH!=(p>N$)!#<$"1"zG2:*>w!)!#<$"1C+iPyB@y!#<$"1b:'f'GWqv!#<7S$"21cl*Q5`0?!#<$"2KUfPs())))>!#<$"2%\%)z"e'Rr>!#<$"22$f6zC3`>!#<$"2:MBaGrR$>!#<$"2wL3L")*39>!#<$"2%)pncvlM*=!#<$"2%>"z:iF@(=!#<$"2)H#>3n/,&=!#<$"1lwBZoUF=!#;$"2&[()>6Z7/=!#<$"16JIr$H-y"!#;$"2&H:g:Cxb<!#<$"11C^UeyI<!#;$"2mb_;*>I0<!#<$"23\)yuMNz;!#<$"2x(>62J(Hl"!#<$"2YtR!RQ>E;!#<$"1G@t)o[!*f"!#;$"2:R?bnq:d"!#<$"29fDWv#zV:!#<$"0&e%>vZd^"!#:$"1*)3G.$ou["!#;$"2e0b6z')*e9!#<$"2ed"R'GN.V"!#<$"2`&=Q!\X:S"!#<$"2'QWez'[EP"!#<$"/&y@lvOM"!#9$"2P'o)pncYJ"!#<$"2))QtZW@cG"!#<$"21,4?-*fc7!#<$"2'>.>2yhF7!#<$"20$Qy*[0()>"!#<$"2XPe=,*))p6!#<$"2'RtXKX>T6!#<$"2v&=v%RZE6"!#<$"2xI0g4sU3"!#<$"2YCp.E#4c5!#<$"2sV?XhI"G5!#<$"1h'Qh'*3/+"!#;$"0D_@&=[H(*!#;$"1V[s")=od%*!#<$"1-glZ#z))=*!#<$"1.%*GxODB*)!#<$"1h+@^](4m)!#<$"13#RJN.AS)!#<$"1)zdck)3Z")!#<$"1e<2r5x&*y!#<$"1p`mw3Q[w!#<7S$"23!*>o`0B)>!#<$"2l')*Q'[ch'>!#<$"2)>NS&3)=\>!#<$"2VJC;)QUJ>!#<$"1Ve$GP))G">!#;$"2BKF1&pg$*=!#<$"2DMOD%egt=!#<$"/Jt_?"H&=!#9$"2oRL9I`:$=!#<$"2:6IK'zb4=!#<$"27XMX+bpy"!#<$"22<>.#Rxj<!#<$"2u-c.nW+u"!#<$"288R^h(z:<!#<$"2%fWo^M1"p"!#<$"2io$R\J(em"!#<$"2%\x;')yDS;!#<$"1M?&\)*[Uh"!#;$"2j&4*3&y(ye"!#<$"2/*\E4f<h:!#<$"16yPWX<M:!#;$"2_Hb&R]!p]"!#<$"2Zu6%=&)Rz9!#<$"1n;`()eo^9!#;$"2i:32y(zB9!#<$"2'H5([]kdR"!#<$"2yxHy)fhn8!#<$"2d"y%zs"QR8!#<$"1\d&eu!468!#;$"10CIQ:x#G"!#;$"2d,LU._WD"!#<$"2#eY<`&fhA"!#<$"2Na**fw?z>"!#<$"2t5F"e;wp6!#<$"2#zj@&\2<9"!#<$"2HW!R"z#y86!#<$"2.LD+G6g3"!#<$"2*oi7()eTe5!#<$"2/&\I2(=5."!#<$"2PJiB)4%Q+"!#<$"1WcsC3.p(*!#<$"0p`&**[C-&*!#;$"1p)[h&yBQ#*!#<$"1R=;wj=x*)!#<$"1y%='GzD>()!#<$"1%*>C32hk%)!#<$"1Bb"yf$R8#)!#<$"17E+ahulz!#<$"1#R#)fh)z@x!#<7S$"2F]7#z?ef>!#<$"1#GN%>a!R%>!#;$"2y()oOnOu#>!#<$"1yH`d")>5>!#;$"0tqi38A*=!#:$"1$QCF_0N(=!#;$"1a;yB.5a=!#;$"1D$fa3BS$=!#;$"2:]$z'3+L"=!#<$"2:=3FBe>z"!#<$"2iQNg*\-q<!#<$"2A&4')e$Gvu"!#<$"2$H.P`n\C<!#<$"23KoB+f4q"!#<$"1YbkfU%pn"!#;$"1RFO]>[_;!#;$"2/g@;r,wi"!#<$"2j+)QLLL-;!#<$"2CwH**p1nd"!#<$"2G3F>t^2b"!#<$"1P#4%H$)\C:!#;$"2%Hdm:j(z\"!#<$"0uuAQ:7Z"!#:$"2$GaQN]CW9!#<$"2oK%QVX4<9!#<$"1T!pg)Gz*Q"!#;$"2nXXaqoBO"!#<$"2;%pDe-&[L"!#<$"1<kMq`E28!#;$"2X3WHRT'z7!#<$"2()Ql4;0?D"!#<$"2N\&R`HQC7!#<$"2R0GeX+o>"!#<$"2D]<_s#Gp6!#<$"2F_&*o:a=9"!#<$"2zy$*QXQX6"!#<$"29\1')fet3"!#<$"2jp<o#oLg5!#<$"2AA5Tg%\L5!#<$"2mXkYg_o+"!#<$"0PvW#pI/)*!#;$"0>`y/zCa*!#;$"1U3-$QCKG*!#<$"1#4a?P;n-*!#<$"1Kg')Q)>Jx)!#<$"1hC+=4fA&)!#<$"1=&*z0qFv#)!#<$"1AATLnJJ!)!#<$"1`i;h*R3z(!#<7S$"2`RQxNXt$>!#<$"1d5&)R/7A>!#;$"2WPU*\&Hh!>!#<$"2FAA5&QR*)=!#<$"2)G?Pe`$>(=!#<$"2)z=N"*ox`=!#<$"2KZ$yB?%\$=!#<$"2OkfI.ba"=!#<$"2n!R8[3M&z"!#<$"2'>ba'*\iu<!#<$"1-rj]NL`<!#;$"2:uAJ2$\J<!#<$"2c#[;i084<!#<$"2sd<hRtio"!#<$"1.W4y#\Hm"!#;$"2&\Z^!='=R;!#<$"2&zTy*G7]h"!#<$"1`)e7&fX!f"!#;$"2keUYhXbc"!#<$"28/h*z(4.a"!#<$"1#p`U%px9:!#;$"28f>"\b(*)["!#<$"1d"[#HR$HY"!#;$"2a%31i-oO9!#<$"2r$Qe=DC59!#<$"2C)em:%[OQ"!#<$"2N6\'p`#pN"!#<$"2W)Qf^/5I8!#<$"1c>:W.?.8!#;$"2L7v,I^iF"!#<$"2'*>RJ5z#\7!#<$"2'*ob%H!4BA"!#<$"2-8OF"eO&>"!#<$"2;Cm+ht%o6!#<$"2%)[R.(flT6!#<$"29!>p/e$\6"!#<$"2HHs!f`L)3"!#<$"27Wu*)=w=1"!#<$"1*=]j8zb."!#;$"2R)\r3VY45!#<$"1b0]/1^N)*!#<$"1HJ)Hwz&y&*!#<$"1#**R/dGSK*!#<$"1tZftq-s!*!#<$"1$RfzDPF#))!#<$"1Nf))oHJw&)!#<$"1[)3M&)**GL)!#<$"1JfYA`j#4)!#<$"1WL.L&[c&y!#<7S$"2#)))oFj!e:>!#<$"1G2j^zy+>!#;$"20=K%>VD&)=!#<$"2x\)3?)***o=!#<$"22zx_MX?&=!#<$"2=Ib(\DTM=!#<$"2.(4M0Q7;=!#<$"2v*or`@?(z"!#<$"2e!Q<e7nx<!#<$"2`bZWNbvv"!#<$"2A>)y+#zot"!#<$"2C'\SF!ocr"!#<$"1G5V&[ZRp"!#;$"0c^bfV<n"!#:$"209Qkp#3\;!#<$"1F88$R"*fi"!#;$"2M[6b]'\-;!#<$"2E!f*p,D'y:!#<$"2Ge(fBSSa:!#<$"13!yMog)H:!#;$"2wrAr;A]]"!#<$"2`hk#3c"*z9!#<$"2;gvc0oXX"!#<$"2#4D%fU1!H9!#<$"1$GQtXdKS"!#;$"2(**R*[mZtP"!#<$"18=x'H.8N"!#;$"2M*G.#H]^K"!#<$"2[Y)))RU"*)H"!#<$"2$ec^S.is7!#<$"2XU8vO$HY7!#<$"2=<n?jd*>7!#<$"2&)*R))[pj$>"!#<$"2Qd`Rgat;"!#<$"2Y*G=CL8T6!#<$"2"Rh%*[_*\6"!#<$"1>Se.>'*)3"!#;$"2^4!)[<aI1"!#<$"2)3Z`)G#HP5!#<$"2hZ]')y&p65!#<$"1ceO#>NG')*!#<$"0:Ft2O2h*!#;$"1-(pa]M3O*!#<$"0Chf+(H8"*!#;$"1rVIoDGo))!#<$"1,c>dD%fi)!#<$"18dqY1U'Q)!#<$"1`"QMx_)\")!#<$"1jJF3rO;z!#<7S$"1ZDm5PF%*=!#;$"1(Q!HH[*)z=!#;$"2nHo"z*)zk=!#<$"2PCJJB0!\=!#<$"1LR#*HM`K=!#;$"2BxGF8/a"=!#<$"22WdkeQwz"!#<$"1K+$Rne#z<!#;$"2#4!o5(oGg<!#<$"1X!H7?Y2u"!#;$"12K"))=g1s"!#;$"1>3F7G0+<!#;$"2ivUmX[*y;!#<$"20#Rwl=Pd;!#<$"2&*4gU4[`j"!#<$"2=^n%fC!Hh"!#<$"2y(GS$\g+f"!#<$"2G85\*y%oc"!#<$"2O_2@[!HV:!#<$"1&Gc_99%>:!#;$"2s.p,![C&\"!#<$"2o`sAM33Z"!#<$"2j#eV,18Y9!#<$"1k0n(HP7U"!#;$"2`-1y*R:'R"!#<$"2.^OK214P"!#<$"2=+M)e'=bM"!#<$"2%GO68m,?8!#<$"2D=M(zWU%H"!#<$"2%R-T]kwo7!#<$"2>v1$Hj1V7!#<$"2r*4)*)\Zt@"!#<$"2'*yIz)Gj">"!#<$"1r<!)R\%f;"!#;$"2PP+Ve0.9"!#<$"2*))G&)4it96!#<$"1M[/QwD*3"!#;$"2'e'o)*4!*Q1"!#<$"1o:!Q@`'Q5!#;$"2'f#Hd'fc85!#<$"/FD2pY'))*!#:$"12v*ocI"R'*!#<$"1JpX)\?QR*!#<$"1e,&3i*p]"*!#<$"1wT^,Q#*4*)!#<$"1ihTm<kr')!#<$"1Wb,G]*fV)!#<$"1Z;*3$y6.#)!#<$"1"43Z6PJ(z!#<7S$"17<v@4Tt=!#;$"1Ote,%G%f=!#;$"2(pdk2>vW=!#<$"2PRjYc*RH=!#<$"1BU"RA!R8=!#;$"2(=coCMu'z"!#<$"1t8ga$z%z<!#;$"2;s/*3)=;w"!#<$"1Hg")[J=V<!#;$"1X:3fU>C<!#;$"2y%4$[]uYq"!#<$"2$*GiyoYYo"!#<$"2#fLZ-S8k;!#<$"1x&e4**fJk"!#;$"2o8!*))\[<i"!#<$"2kN,.jB**f"!#<$"2_,*)Gq4xd"!#<$"2&H*\L?J^b"!#<$"1H]'Hu7A`"!#;$"1B?a8!z*3:!#;$"2Z#\#Quaa["!#<$"26#fZcYmh9!#<$"2(G;tDMjP9!#<$"1[A$ej&Q89!#;$"2#p#=.uX*)Q"!#<$"2%o^GA!QVO"!#<$"2GD#obleR8!#<$"2Z5Px;:ZJ"!#<$"23M#e-uu*G"!#<$"2DUch[1ZE"!#<$"2*e]W#H:'R7!#<$"2A_C6J'\97!#<$"2U"Gm;;P*="!#<$"2^:H*QGEk6!#<$"2Emc`8">R6!#<$"0o(pkr<96!#:$"2oS0C1T#*3"!#<$"225qwT-W1"!#<$"2ORK@D!oR5!#<$"1R3H+I4:5!#;$"1lJ:;\e1**!#<$"1hasV$RRm*!#<$"18qk6!fJU*!#<$"1*yp<;.W=*!#<$"1"\\7WCy%*)!#<$"1/k()3)oNr)!#<$"/s2eax"[)!#:$"0tajvwDD)!#;$"1$H"*3?)4E!)!#<7S$"2d&>6*4zH&=!#<$"2L.KbVw$R=!#<$"1F0Ea=5D=!#;$"21:3.fs,"=!#<$"2aqp"olg%z"!#<$"2ON1gOA%y<!#<$"2V*Gvy"R;w"!#<$"2cU_-ywUu"!#<$"2LtAX[bjs"!#<$"1Z.E1h*yq"!#;$"2VU*o?*>*)o"!#<$"2(fM'Gi[%p;!#<$"1V$GlG/&\;!#;$"1&HbEK4"H;!#;$"2v4_xV'G3;!#<$"1w-1#feqe"!#;$"2B+Xx&*[ac"!#<$"2w9$=x3[V:!#<$"2)HKX@y<@:!#<$"2(e!H"\Lc)\"!#<$"2Gcwa1hcZ"!#<$"2bk]@e%\_9!#<$"2#Hh[xu3H9!#<$"2tatuDjaS"!#<$"2FF2vJX;Q"!#<$"2Ln*)\!pld8!#<$"2uDrG3@NL"!#<$"2#HD?%pg#48!#<$"2k9pxK)*[G"!#<$"2<Xx[Gc/E"!#<$"20"HNZl&fB"!#<$"2&*G4ou?9@"!#<$"2<`T_8qo="!#<$"2@^!*pbDB;"!#<$"1^F7Au!y8"!#;$"2)zKE"oNL6"!#<$"2Ft9>!)H*)3"!#<$"2*G2HY(3Y1"!#<$"1(f'o]4RS5!#;$"2vY0kI%H;5!#<$"1#=GDUhL#**!#<$"1%)o2'3K`o*!#<$"1w&R2j;!\%*!#<$"1@U5x0d9#*!#<$"/vLyK9#)*)!#:$"1a1%Q#y(=v)!#<$"1ZTQe4"R_)!#<$"0TMl,t$)H)!#;$"1XQ9syQv!)!#<7S$"22g9"eb'H$=!#<$"2JlR27F(>=!#<$"2l!4jGz$e!=!#<$"2lc@7Q98z"!#<$"2/$GaKN<w<!#<$"2.n$*y0L/w"!#<$"2Zk2&>76W<!#<$"2K#*48$oAF<!#<$"2&Q&fGA*z4<!#<$"2DPtD?[=p"!#<$"2G^H.-%Rt;!#<$"2WY[&HtXa;!#<$"2$f6&)["f]j"!#<$"2b*GRB3A:;!#<$"2i8sf)R'\f"!#<$"2Qk7!=0Ju:!#<$"2#ol^5DG`:!#<$"2i.&3DA!>`"!#<$"1F85b?>5:!#;$"1A+<([u")["!#;$"2;].H1seY"!#<$"14\9TtIV9!#;$"2=:92'G]?9!#<$"2-sgP5"[(R"!#<$"1GT!)fWEu8!#;$"2y\R0>v3N"!#<$"1FC[&RNtK"!#;$"17O_ypm.8!#;$"2W#*fah"*)z7!#<$"2QqkDsIgD"!#<$"1CfDEa5K7!#;$"2sp;R`O"37!#<$"1z#=f]WT="!#;$"23M"*)G%\,;"!#<$"2W#oG!*4<O6!#<$"2$)>jUXGA6"!#<$"1uB$*Q1M)3"!#;$"23/#*\*e_k5!#<$"2&zvw&3-3/"!#<$"2=A#ool=<5!#<$"1Yip"yhp$**!#<$"1#3'Q+@Z.(*!#<$"1<R&H2a:Z*!#<$"17WCu%f8C*!#<$"18yC6V.8!*!#<$"1ld%\s=ny)!#<$"1V%Gl!pai&)!#<$"1kE$y-Z1M)!#<$"1[X"e=T67)!#<7S$"2;acn2eL"=!#<$"2/,dT0p/!=!#<$"2'yC))*e\py"!#<$"1E/1)H:Gx"!#;$"2%Qqb9C3e<!#<$"0TNfwnFu"!#:$"2ocxut))os"!#<$"2vBb.Cj/r"!#<$"22*f.y'4Np"!#<$"1=F,7p/w;!#;$"2l`XpA%4e;!#<$"2G(fI&Hr'R;!#<$"27z8;9)z?;!#<$"2;)pN1^\,;!#<$"2%)R&o4Gy"e"!#<$"2V3o\6#oh:!#<$"2/o.B497a"!#<$"1uB2#)**R?:!#;$"1#e;'e6E*\"!#;$"2)Gh8%4>yZ"!#<$"2a)=)GK&4c9!#<$"2a()HdS6TV"!#<$"1\c@&*)))=T"!#;$"2E@16I\%*Q"!#<$"2#=UecS"oO"!#<$"2O?;^[/SM"!#<$"1cO2o</@8!#;$"1\C<8p%zH"!#;$"14GzB2uu7!#;$"1-&Q#pPW^7!#;$"22@!*fNw!G7!#<$"2DP/+]eY?"!#<$"2<!\5+*47="!#<$"23@6D"*\x:"!#<$"2J-Ul_(HM6!#<$"2#)QI:Mr36"!#<$"2(37)\a*[(3"!#<$"12&)*>*)pT1"!#;$"1Qb+'oH4/"!#;$"2Axw2w&y<5!#<$"1)ymzjWv%**!#<$"1=?c4k^=(*!#<$"1k!RfAE4\*!#<$"1zu%)3@#\E*!#<$"0(pv&oY1/*!#;$"1Pij!4P#=))!#<$"1YD2y[#yf)!#<$"1EYh]f`z$)!#<$"0c(=*\!\j")!#;7S$"2B'pvw[9%z"!#<$"1l;>D7f"y"!#;$"2iwgfjE%o<!#<$"2(>xf%)fma<!#<$"2BP6utC.u"!#<$"2bS^D#*=as"!#<$"1k&*>+^'*4<!#;$"2k<k>L!)Rp"!#<$"2G*pb\@[x;!#<$"2%RE$G_)[g;!#<$"2U-ss#y,V;!#<$"20y"*4"))3D;!#<$"2UJi8c?ng"!#<$"1RsJrC$ze"!#;$"2_)pV0Uuo:!#<$"2K**))emv"\:!#<$"1\kIepCH:!#;$"2yg'od$y*3:!#<$"2A!))Qu-R)["!#<$"2a&3J?K]n9!#<$"1&=@`xPjW"!#;$"2)\?-aX"\U"!#<$"2da<H<aKS"!#<$"2$)pd!=sP"Q"!#<$"2LrFK@/$f8!#<$"2v*)[()ebqL"!#<$"2d0b4l^YJ"!#<$"1:`S_D6#H"!#;$"2yK"*GEe%p7!#<$"2xk$HT&3nC"!#<$"2b&)Q$3H)QA"!#<$"2'*f0.i+5?"!#<$"19VsV13y6!#;$"2sz66jT^:"!#<$"1%Gyx*=?K6!#;$"26%4u*Rz#46!#<$"217uFr"R'3"!#<$"2w'Gi7gbj5!#<$"2si-k0*yS5!#<$"2W@/_;2"=5!#<$"1)e&>z?Eb**!#<$"1l(**H'ehI(*!#<$"1%Q^D@#G2&*!#<$"1GJ(RS0aG*!#<$"1Z*>$oY7l!*!#<$"1J`#>4ul%))!#<$"0.J"HD))H')!#;$"1O/JFN<:%)!#<$"1z_1k_c-#)!#<7S$"2O!oS0YJv<!#<$"2`bi7+$3j<!#<$"18^-$>f-v"!#;$"2w-t5Odot"!#<$"2L9rtC#*Gs"!#<$"2:Ay%G"z$3<!#<$"2=)yt(yLLp"!#<$"2^lBn[sxn"!#<$"23I5g$>rh;!#<$"1#yW`Ep^k"!#;$"2U@"H$*>;G;!#<$"2D%[U'*zq5;!#<$"2Yd]"ya#Gf"!#<$"2D%=APH`u:!#<$"2vcNg8\eb"!#<$"2Gzy(oIzO:!#<$"2))3-&HRQ<:!#<$"2i7%>!3Tw\"!#<$"2%z4$*=Sex9!#<$"1MD<[BBd9!#;$"2t4xKu0mV"!#<$"2:w.8#Rs:9!#<$"2*o.<5mg%R"!#<$"2;-L#=NFt8!#<$"1%)4N/Vu^8!#;$"2Ch)\[&Q+L"!#<$"2O_$)Hsv"38!#<$"2koFV;vhG"!#<$"2wVle/cSE"!#<$"24h46NP=C"!#<$"2a3Mz%y`>7!#<$"2&H!=O1wr>"!#<$"2:,%zg-xu6!#<$"2l,RVTQB:"!#<$"2l6W#*=)*)H6!#<$"2_J&\>pY26!#<$"2Js%*zeh]3"!#<$"2i!za2))pi5!#<$"2j$)RH![RS5!#<$"1'e=TRl"=5!#;$"1#)[-0)f-'**!#<$"1_;Bk_"*R(*!#<$"1)eNrZl2_*!#<$"1vzY%*4&HI*!#<$"1&f&G[wg'3*!#<$"1eTU_k'=())!#<$"1NhW9N&)e')!#<$"1cr,f**oZ%)!#<$"1"f;E'=\Q#)!#<7S$"2c0a"=j&ov"!#<$"2mM&y8T$\u"!#<$"2m]n\qPCt"!#<$"20K_th!Q><!#<$"2(Q'\1"px0<!#<$"2$pmU`6k"p"!#<$"1YS9(R))pn"!#;$"26K$\\T$=m"!#<$"2(*)=5ZV>Y;!#<$"2'[CnF`3I;!#<$"2n)\i,Q_8;!#<$"2W(*4L#o_'f"!#<$"2Y#>'=w6"z:!#<$"2-ri<F'Hh:!#<$"2#*4%=j#)4V:!#<$"2Wzy@(e`C:!#<$"26"*)yIui0:!#<$"2:?SrV"R'["!#<$"2Vl*eDl%oY"!#<$"18I*pV6qW"!#;$"2=td"*)\!pU"!#<$"0WXv/YlS"!#:$"20b'G'\`fQ"!#<$"2%Gzc4i9l8!#<$"2Qs_M-VTM"!#<$"2&e%*=3F'HK"!#<$"2/Ol5%Ri,8!#<$"2Kjc)z_9!G"!#<$"2E*f#p8X&e7!#<$"1*G:SvToB"!#;$"2WWyx<`]@"!#<$"2=>(4Os>$>"!#<$"2&4%>_^"Hr6!#<$"0*ovPLN\6!#:$"21dw:u*RF6!#<$"2cA;'fuW06!#<$"27l_1!H^$3"!#<$"2xMZ587;1"!#<$"2kk"\d3wR5!#<$"2j@q2Tuz,"!#<$"1Gwe0tni**!#<$"1m")o7NbY(*!#<$"1lP\*)Q^J&*!#<$"17H_#H&p<$*!#<$"1DHlk,B0"*!#<$"1\s8OkC%*))!#<$"1v<HOu'[o)!#<$"1Z]!e"=@x%)!#<$"1Q/gzMRr#)!#<7S$"2il0>Yf(Q<!#<$"2/T+YkMrs"!#<$"1&)=4BH&\r"!#;$"2dZgf?FAq"!#<$"2:wr)44(*)o"!#<$"1=,.Oz>v;!#;$"2ts=fkA4m"!#<$"2(G^QO)fhk"!#<$"2=sKTrC4j"!#<$"2Olz'pGB:;!#<$"2KKZ3D+"*f"!#<$"2&[9%e8VDe"!#<$"2#R!*)f5ybc"!#<$"2-!\>=?A[:!#<$"1)R"=x>\I:!#;$"281vvI0C^"!#<$"2<J.f_zR\"!#<$"2M9kDJK_Z"!#<$"174$Q["=c9!#;$"2O^`R'\%oV"!#<$"18jTd2C<9!#;$"2L">T@pQ(R"!#<$"29g)eQ:Ix8!#<$"1)zF,p-qN"!#;$"2a>1#H%3lL"!#<$"1Jb*[vOeJ"!#;$"22/^le0]H"!#<$"28gP(QF.u7!#<$"2vYSn*e$HD"!#<$"2iD0FfK<B"!#<$"2b]\C=S/@"!#<$"2dr&)H#e2*="!#<$"2ZI$z]kln6!#<$"2bHu3w)>Y6!#<$"2*3]i'=>Z7"!#<$"2iI`0)QB.6!#<$"2\Boepe<3"!#<$"2rAm*o"4.1"!#<$"2k=NG]+*Q5!#<$"2v3&R^va<5!#<$"084z/[E'**!#;$"0K5lvj1v*!#;$"1@J@j)f'R&*!#<$"1&RE3dp(H$*!#<$"1:xc`>7@"*!#<$"19#G!f=%Q"*)!#<$"0<T+#)\!3()!#;$"1/hUw>'Q])!#<$"1;eb1+R,$)!#<7S$"2%p_-fQ,@<!#<$"1xr%G,v'4<!#;$"2[c#)f*ez(p"!#<$"2CBS]$))Q&o"!#<$"2tO)>SmYs;!#<$"2i*p=$eU!f;!#<$"2<"Hgu.8X;!#<$"2'z7hSTuI;!#<$"2.B*3*R)*eh"!#<$"2/vn_.31g"!#<$"2')*)GpF))[e"!#<$"1Vg@pYvo:!#;$"2AC:"\IA_:!#<$"2[7m'>&4``"!#<$"2&*ygRUI!=:!#<$"235*)*=BS+:!#<$"1)e)Q\>W#["!#;$"2eoc6AmTY"!#<$"2ja#Qv@fX9!#<$"2<)[0iptE9!#<$"2cX,S"yh29!#<$"2Dz95-_#)Q"!#<$"2B^<U!plo8!#<$"2'y$>2z\)[8!#<$"2/t;'))z%)G8!#<$"1xLQi(o'38!#;$"29M+(3$H$)G"!#<$"2'*3qFtYyE"!#<$"2;"*e^-QsC"!#<$"2'z"4#R+_E7!#<$"2X2h!p%4d?"!#<$"2$\7KGG#[="!#<$"2uh8%Hk(Q;"!#<$"2v:XOO')G9"!#<$"2CH<?[o=7"!#<$"2-(4"oPQ35"!#<$"2F5rRO6)z5!#<$"2Li8jY-)e5!#<$"2U%ed(REy."!#<$"2vJGta(*o,"!#<$"1p#Rwm*Hg**!#<$"1-Ox`NP_(*!#<$"1XmX&[I`a*!#<$"1T5=g+IR$*!#<$"1c0@8!3W8*!#<$"13L"37w2$*)!#<$"1N$)o7@_G()!#<$"1$esNffx_)!#<$"1l<*R(zfG$)!#<7S$"2)4]+#p4Oq"!#<$"2)p\Gifa#p"!#<$"1XWefz&4o"!#;$"1')HGhu&)o;!#;$"2yKz^qcil"!#<$"2z*y))o$oJk"!#<$"29l5'[bgH;!#<$"17RLP<e:;!#;$"2-&4]-36,;!#<$"2A">@jp?'e"!#<$"2=W.qw%)3d"!#<$"23#4Em!f^b"!#<$"1mmJ%*\/R:!#;$"20s(GTzbA:!#<$"28%pqHNr0:!#<$"166+!fF&)["!#;$"2.cpe8;5Z"!#<$"2)pkhR`>`9!#<$"2ab*[2:3N9!#<$"1%=x]0"p;9!#;$"2w@:G[S!)R"!#<$"2M)Rl^j9z8!#<$"2&HZ$*e_-g8!#<$"1xP_9QpS8!#;$"1(G^sho6K"!#;$"2#)=+<Bm9I"!#<$"2/H*QlJg"G"!#<$"2r+$RYefh7!#<$"2FWQ9gg9C"!#<$"2:u=Xj87A"!#<$"2()zfg+r3?"!#<$"29WvEh[/="!#<$"2/=Wv;i*f6!#<$"2CdQ9=F%R6!#<$"2s3OW%*e)=6!#<$"18#Q$3DF)4"!#;$"2EKA)pEox5!#<$"2dd[V&R5d5!#<$"1x=%3g]l."!#;$"2TjmraOg,"!#<$"1xw4kTvb**!#<$"1W:&)R]!=v*!#<$"1iRqbwk[&*!#<$"1sa%)e!3kM*!#<$"1j?8$o3_9*!#<$"13:&QDo^%*)!#<$"1*3D5q,ku)!#<$"1HNC"3?!\&)!#<$"1:[,308`$)!#<7S$"1a%)y)[Plo"!#;$"1Uw0\&Qdn"!#;$"2%RE^F2Vk;!#<$"29kpGGDEl"!#<$"2/:%R7RLS;!#<$"2$)[1Etovi"!#<$"2(oCSfAM9;!#<$"2l$[j(Qn1g"!#<$"2D+--Pdle"!#<$"2;Z"p'zD?d"!#<$"2$4girl3d:!#<$"2t:hB*QvT:!#<$"2v5$oEA/E:!#<$"1:i:!Hm*4:!#;$"2cbpK-TN\"!#<$"23#>Vo:yw9!#<$"2m^koC.(f9!#<$"2jKSa`@BW"!#<$"2&)p=N/_YU"!#<$"2O>B)*[5nS"!#<$"23,5%zE^)Q"!#<$"2)*et2[u+P"!#<$"1:]8.=T^8!#;$"2v&y&RdSDL"!#<$"2c%\t;nZ88!#<$"2BK)3HhB%H"!#<$"2$)HB7mM[F"!#<$"2`4wZ4)Gb7!#<$"1MI4A@hN7!#;$"1Ew(fKAe@"!#;$"2EES*fT$f>"!#<$"2"3M)*GH'f<"!#<$"2cW`4xBf:"!#<$"2YS)[Q;$e8"!#<$"2(4*)e"G,d6"!#<$"2tqP3BZb4"!#<$"2$o6H"y$Qv5!#<$"1oS1x\Ab5!#;$"0)pi'f%3N5!#:$"24XL)Qh(\,"!#<$"1V<#p4G"\**!#<$"1c:(*)4v!\(*!#<$"1$>p7BG(\&*!#<$"1Xm@^+@^$*!#<$"1cAXN(RO:*!#<$"1<tO')H8d*)!#<$"1iyaY>!=w)!#<$"1&e]67bxc)!#<$"12E?3t4v$)!#<-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""$6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q'&#963;6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"r6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q9Gamma~of~the~Call~Option6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%+LIGHTMODELG6#Q(LIGHT_36"-%+PROJECTIONG6,$")(*****\!")$!)x1rq!")$")(*****\!")$")(*****\!")$")x1rq!")$")(*****\!")$!)x1rq!")$""!!""$")x1rq!")$"#5!""-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$S%!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%!o$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%+P!""-%)CHILDRENG6"Ig== S;

SSJTRzYi

: Explore:-Runtime:-Update( plot3d(_GAMMA(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Gamma of the Call Option"), ':-Plot3', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider9', ':-Slider10', ':-Slider11'], ':-labels'=[':-Label9', ':-Label10', ':-Label11']); K;

SSJLRzYi

: Explore:-Runtime:-Update( plot3d(_GAMMA(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Gamma of the Call Option"), ':-Plot3', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider9', ':-Slider10', ':-Slider11'], ':-labels'=[':-Label9', ':-Label10', ':-Label11']); T;

SSJURzYi

: Explore:-Runtime:-Update( plot3d(_GAMMA(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Gamma of the Call Option"), ':-Plot3', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider9', ':-Slider10', ':-Slider11'], ':-labels'=[':-Label9', ':-Label10', ':-Label11']); LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Step 5. The Rho of the Option The Rho of an option or a portfolio of options is the sensitivity of the option or portfolio to changes in the risk-free 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 -%'PLOT3DG6--%%GRIDG6%;$""&!"#$"""!"";$"""!"#$""&!"#7S7S$"2$z1qF$Q?5$!#:$"2e[5__!)Q:$!#:$"1a].?l@/K!#9$"1a,w1?*HD$!#9$"0Q5g!z:+L!#8$"2Y;X;YqcM$!#:$"1JPx18\*Q$!#9$"2')3K))\(eJM!#:$"2'\O@C:$>Z$!#:$"1tD=t7]5N!#9$"1TO-')*zsa$!#9$"2c1#frhD#e$!#:$"18!>'*\Bah$!#9$"1$y-$o1yYO!#9$"/&p)[7LwO!#7$"2;8?*3N3/P!#:$"1"=#\;-0IP!#9$"1oJ&oU[Uv$!#9$"1L+6a#*pwP!#9$"1mEwHwU(z$!#9$"29__.0ik"Q!#:$"1V$ejJMQ$Q!#9$"1M;Zk#z&\Q!#9$"0>Y`\MP'Q!#8$"1>*e))4Sj(Q!#9$"1Pg%)y$Qu)Q!#9$"2m#**=zN2(*Q!#:$"2%>-.8;H0R!#:$"17(enzR@"R!#9$"1lVL!fmw"R!#9$"1OHKX8#>#R!#9$"1/!G>1a\#R!#9$"0)z8c^"o#R!#8$"1%))ozBbv#R!#9$"1%)pj,\AFR!#9$"2&)Q]$GX(e#R!#:$"29*eE-TbBR!#:$"2;D=+/8.#R!#:$"1oZ4M+?;R!#9$"1v(*>5HE6R!#9$"1'QK')\[b!R!#9$"2;S(e>D5**Q!#:$"1KV=#[p>*Q!#9$"/O$pf#>%)Q!#7$"0ii7q8e(Q!#8$"1.wk(>to'Q!#9$"213IQ+5u&Q!#:$"1$)*RX^hu%Q!#9$"1-'*4uN1PQ!#97S$"2mtt#*=9R3$!#:$"2a&)H\.&yMJ!#:$"23d!=D,A%=$!#:$"13y<mt;KK!#9$"1P%pGXz&yK!#9$"0$4qjRTBL!#8$"19utFMjmL!#9$"2kIcVO0#3M!#:$"2EvteH-"[M!#:$"2CLsOt,j[$!#:$"1-BfQhyAN!#9$"1<0`cGadN!#9$"0Qg..k0f$!#8$"1)zR%*[Y=i$!#9$"12=6=;R^O!#9$"1TJs/_?zO!#9$"1t()yssH0P!#9$"1h[,'*=oHP!#9$"1&\e*)*pP_P!#9$"2;y\^9/Mx$!#:$"1\3`9$)y#z$!#9$"1sr2swb5Q!#9$"1X*f%HLuEQ!#9$"1W`e,"z8%Q!#9$"1(R2)f7]aQ!#9$"1)zdNG[h'Q!#9$"2'p!p?hgj(Q!#:$"2/`)y(R!=&)Q!#:$"162*HE^E*Q!#9$"2C%o*41=))*Q!#:$"1vLIVms.R!#9$"1B#3QjBu!R!#9$"1[c?6i&*4R!#9$"2OX*\+>P6R!#:$"2M4hWP=<"R!#:$"1LbtlK/6R!#9$"1`^<!*RR4R!#9$"133'=e<o!R!#9$"1J<:S0O.R!#9$"1cA**)oo!**Q!#9$"2&G\f[q)R*Q!#:$"1mo^>(f"))Q!#9$"2%\,0z(H;)Q!#:$"1nzv*=RW(Q!#9$"2%Gn!*>(Gm'Q!#:$"1%pqa(yBeQ!#9$"1<+KV[I\Q!#9$"2EkX^Wm)RQ!#:$"1K^i,"e*HQ!#97S$"2df]S\lj1$!#:$"2#H!G*=#*G;J!#:$"2`0%*Q"H%[;$!#:$"1[Sz>m(>@$!#9$"1FP^sZkdK!#9$"2cvJYH1=I$!#:$"1[6jiYUWL!#9$"1;)\(\zY&Q$!#9$"1@ItW)3\U$!#9$"2c8FpkCFY$!#:$"1jAKQs*))\$!#9$"2E<5L.8M`$!#:$"1k>22HEmN!#9$"2uoXO5Uuf$!#:$"2&pp%[7]pi$!#:$"1MWK,1zaO!#9$"1&)e7Z6(4o$!#9$"1u-B*>.bq$!#9$"1$=kN%=SGP!#9$"1M&p!Hco\P!#9$"1A?UrjPpP!#9$"1'G<![*)\(y$!#9$"1#=We3"3/Q!#9$"1CL&Q9`">Q!#9$"1>MS"*yuKQ!#9$"2WSIVG+\%Q!#:$"29>M,CZc&Q!#:$"2lb<PTF]'Q!#:$"2')>T](43tQ!#:$"1e,)**Q\)zQ!#9$"1"[!e0_P&)Q!#9$"2'4E#3%=q*)Q!#:$"1F0!RQtG*Q!#9$"1OZ#pRM\*Q!#9$"0N`)G(Hf*Q!#8$"20w]tL/f*Q!#:$"2m6o,7.\*Q!#:$"0PNlvqH*Q!#8$"2'o@&*e::!*Q!#:$"19\mN$*[')Q!#9$"0(4-ks-#)Q!#8$"0)*)zux!o(Q!#8$"2C,FvWs3(Q!#:$"2lb=n">EkQ!#:$"1*o!)))y:q&Q!#9$"2;3z+ds"\Q!#:$"1>;y.'p2%Q!#9$"1Ahk=I%=$Q!#9$"2'="oeoFC#Q!#:7S$"2%R))>(yi$\I!#:$"2'oRlMKO)4$!#:$"2L`Rs/bg9$!#:$"1J?8@.R#>$!#9$"1")oO#>DtB$!#9$"1L/2D*>3G$!#9$"2X:"*z(*QGK$!#:$"1zwN\5NjL!#9$"1b'[-5HBS$!#9$"29i6oN](RM!#:$"2'GT"=H'fvM!#:$"1%z[he_)4N!#9$"0bV524Da$!#8$"1>%[=lfNd$!#9$"1z#zV@-Ig$!#9$"1kp*[^Q3j$!#9$"1le)[0uql$!#9$"1O&p=%zr"o$!#9$"1T7cPFy/P!#9$"1))\p%H%GEP!#9$"2w;<ReTiu$!#:$"1l097lnkP!#9$"1\;xLPh"y$!#9$"2M)*=iX!3(z$!#:$"1xc2Ti56Q!#9$"1.IM-GsBQ!#9$"2:!f-.Q'\$Q!#:$"2&)H&Q^Y'[%Q!#:$"1ft2)HiM&Q!#9$"2kXZ`.&zgQ!#:$"1(=x$*H-p'Q!#9$"2la2oZC=(Q!#:$"1F7Q;FgvQ!#9$"16IcY(y#yQ!#9$"2MO5**p%*)zQ!#:$"1*Rx[%H\!)Q!#9$"14fkDf6!)Q!#9$"2b,([5g!)yQ!#:$"1h$o!\`gwQ!#9$"2/.M!RdbtQ!#:$"20q*4-&)ppQ!#:$"1KK#)pV2lQ!#9$"1&oK"zLsfQ!#9$"1-%>wx%o`Q!#9$"0>M&Qp*p%Q!#8$"1V)f`G(pRQ!#9$"1lQxDA#=$Q!#9$"177w%42M#Q!#9$"2&G%)e1h[9Q!#:7S$"1rAe#\yG.$!#9$"2$o!H71z43$!#:$"1FvO8%Gy7$!#9$"21aj+i!QtJ!#:$"2v"GLrMf<K!#:$"11;sg&G/E$!#9$"2ln$e]8&=I$!#:$"1DB/=7$=M$!#9$"1L>w"[T.Q$!#9$"2l6&y4%ftT$!#:$"1L&=)3i'GX$!#9$"1<4Z&*p%o[$!#9$"1^31]2H>N!#9$"1Mur`->]N!#9$"1[Uf4?azN!#9$"1YY5\hM2O!#9$"1MW;CjgLO!#9$"19`\'eH$eO!#9$"12&*4bi_"o$!#9$"2u%=1t(4Kq$!#:$"2a&3([b'RBP!#:$"1=WZDe5UP!#9$"1K$*H_%f$fP!#9$"1epYr<=vP!#9$"1(HI%4%*f*y$!#9$"1$3T75TE!Q!#9$"1(yHm]PV"Q!#9$"1-s/D5sCQ!#9$"2XDu2hDQ$Q!#:$"2mYd"*e'oTQ!#:$"1-A(\ZS$[Q!#9$"1OY&QzCQ&Q!#9$"1)*yn2z<eQ!#9$"1@"yY%)Q9'Q!#9$"2Wej]8ZO'Q!#:$"1M_w_E%['Q!#9$"29i5RYl]'Q!#:$"1*HEDobV'Q!#9$"2;"p*QL`F'Q!#:$"1mI$fA)HgQ!#9$"1*\D)G)Hq&Q!#9$"1'R!>jr)H&Q!#9$"/2%op3#[Q!#7$"1B8D]AtUQ!#9$"1*oA2"\fOQ!#9$"1nu=bH$)HQ!#9$"1\*\:y"[AQ!#9$"1VkR[ed9Q!#9$"1H(oGi[h!Q!#97S$"1DNZvn)o,$!#9$"2d^-fP5T1$!#:$"2m5><_O,6$!#:$"18NWy6#\:$!#9$"1wo8SPU)>$!#9$"2bL2-621C$!#:$"18I,lxV"G$!#9$"29]A-!e)3K$!#:$"0e5+'\#*eL!#8$"1(z!G\E`&R$!#9$"2N=<#H**oIM!#:$"1PCd'\"QkM!#9$"1K+?Zcf'\$!#9$"1F2VCUKFN!#9$"1C0)Hbilb$!#9$"1ya:f$4Ve$!#9$"18$*=ymc5O!#9$"1%\6'\(R`j$!#9$"1Wlf,pjeO!#9$"2l,*GD%p/o$!#:$"2E`L,W^3q$!#:$"1jWE^(*z>P!#9$"1Dl-+PLPP!#9$"1`[q3]Z`P!#9$"1y=a?wCoP!#9$"1j*3h`x;y$!#9$"1XH3ZEz$z$!#9$"1wIXoDi/Q!#9$"1,<:q%)>9Q!#9$"1%yj!4HbAQ!#9$"1'QEBm>(HQ!#9$"2:&*zFcLd$Q!#:$"1/'ztLI1%Q!#9$"1FtJ\kWWQ!#9$"2YKXX%*=s%Q!#:$"1zzK.`)*[Q!#9$"1C_Q(H$y\Q!#9$"2lKCJ&3l\Q!#:$"1O6R@fi[Q!#9$"20h0TNYn%Q!#:$"1n93)y\S%Q!#9$"2kmli`t0%Q!#:$"2lLrl[aj$Q!#:$"1wxT3!H9$Q!#9$"1$zLq'G$e#Q!#9$"2wHEb9,'>Q!#:$"1E\mu"oF"Q!#9$"2N)eGquO0Q!#:$"1;V<y;V(z$!#97S$"1.]%eTj8+$!#9$"1>7mQCtZI!#9$"1`E]-W&H4$!#9$"2()\Vx3()p8$!#:$"22ix+W"zzJ!#:$"1lw]Z;L@K!#9$"1Nc(>?v:E$!#9$"1"Hvb%H\+L!#9$"1/!)Q,"f!QL!#9$"1lH3*G^UP$!#9$"1\&=b_]!4M!#9$"1<Rn57WUM!#9$"2lOF$*46WZ$!#:$"2&)f!)*e7&\]$!#:$"1uVg9g0MN!#9$"1$[^3)GshN!#9$"2&)RYC[_ze$!#:$"1rt^j%[Fh$!#9$"1'p&o'Q<hj$!#9$"21CoFio!eO!#:$"1KI)>B9'yO!#9$"1rMdP)oxp$!#9$"1*)[y#\\br$!#9$"2EnP@av>t$!#:$"1FT%zZoqu$!#9$"1r@,$z^3w$!#9$"1dvYI3NtP!#9$"2M/4;j#f%y$!#:$"1`mo#y0Yz$!#9$"1rRYh-U.Q!#9$"2CY!R%Gn5"Q!#:$"2bZq^:zv"Q!#:$"2O'=Z:"*)H#Q!#:$"07q%)>Jt#Q!#8$"2u^te3S1$Q!#:$"1i@-p4&H$Q!#9$"0B*f9%*HMQ!#8$"1EnVN7sMQ!#9$"2wPToO_U$Q!#:$"1z#4)[(GH$Q!#9$"2a4TW@'yIQ!#:$"1MO"[Qgy#Q!#9$"2v^30d'=CQ!#:$"1#RX*z'*z>Q!#9$"1/chMTt9Q!#9$"1MHE"zB!4Q!#9$"1U8,r=q-Q!#9$"1JcR&*3!ez$!#9$"1-+@HEN)y$!#97S$"18**\"p&G')H!#9$"2&o)oY)>#=.$!#:$"27K%e6&ei2$!#:$"2#3?L*ya&>J!#:$"2N!*p8Et;;$!#:$"2X0>2PzD?$!#:$"1i$=%>;CUK!#9$"0kpThJ1G$!#8$"1&G(=)4CxJ$!#9$"1FINpp\`L!#9$"1s+'[GJzQ$!#9$"1(\6ED65U$!#9$"2:)[r4Us_M!#:$"1Vx[)egI[$!#9$"2'=lXqQ,7N!#:$"1zV*)G0eRN!#9$"1r0]g*fdc$!#9$"1)*\(oSa0f$!#9$"1'3([m)oRh$!#9$"2vMwy*4,OO!#:$"2b]a[,"pcO!#:$"1jW]u:-wO!#9$"1M.zew,%p$!#9$"2NP01X'p5P!#:$"1\040s2EP!#9$"1:j0<6=SP!#9$"2N$RL&=JIv$!#:$"1[2([2_Yw$!#9$"1MjOx*p]x$!#9$"1cSArCJ%y$!#9$"2kGl:Q3Cz$!#:$"2'zA-TwQ*z$!#:$"1u,*>:"G0Q!#9$"2&e,)4l?,"Q!#:$"0=ucdQR"Q!#8$"0[P_$zw;Q!#8$"1p%*R%=U'=Q!#9$"1adw,^f>Q!#9$"0yvFng'>Q!#8$"1)Rrw(H()=Q!#9$"1/Cz%3ms"Q!#9$"2%ehY\R(["Q!#:$"2c+5(=.t6Q!#:$"1.z">koy!Q!#9$"2/ncw)>K.Q!#:$"1THlmH7)z$!#9$"0U45m.Bz$!#8$"1f)['fb*ey$!#9$"17h%**\H*yP!#97S$"2nGC.FK;(H!#:$"1'fbT7dj,$!#9$"1=D!3kE+1$!#9$"2A.Qy*>g-J!#:$"1**o'>3ZS9$!#9$"2j&=[e&GV=$!#:$"13MTGfTBK!#9$"1B0Ht:GhK!#9$"1He](y+zH$!#9$"1[RN)z^KL$!#9$"2l+&)Qx:tO$!#:$"20q&y=o2+M!#:$"2WLo&e>_JM!#:$"2/J7C6T;Y$!#:$"1OI1bqU!\$!#9$"1N!\#o`(y^$!#9$"0xH@Q%)Ra$!#8$"2c'GL2^voN!#:$"1n3=e6>#f$!#9$"1xNun')H9O!#9$"1*Q#Q&>'3NO!#9$"1AzZFYcaO!#9$"1V90squsO!#9$"1%G/![(['*o$!#9$"18vqpoG0P!#9$"2:&onF0o>P!#:$"19a1m0&Gt$!#9$"2kB*pd%>[u$!#:$"1z#ot<6cv$!#9$"1z(oS2^_w$!#9$"2a*=(GulPx$!#:$"1W&oq*G="y$!#9$"2a777CJvy$!#:$"1U#\cMSGz$!#9$"1"=%4B09(z$!#9$"1#Qmxqi/!Q!#9$"1)[rvLQG!Q!#9$"2aMm(R#*H/Q!#:$"2X(p]?v([!Q!#:$"2bXO'eag/Q!#:$"1Yp-/a^.Q!#9$"1lvu!oR;!Q!#9$"1PtG&\5!*z$!#9$"1T2-])fcz$!#9$"1'\i?Y>;z$!#9$"1N%=wo?py$!#9$"1N6!>X%f"y$!#9$"1^Ak%=rcx$!#9$"2mr)>h2=pP!#:7S$"1M+(46$QdH!#9$"2sh]$\sJ,I!#:$"2$)=BO$yBWI!#:$"2v"H(yi2h3$!#:$"1-'=v!>*o7$!#9$"1<-8D&el;$!#9$"2uJ-_'z20K!#:$"1a\z(QBCC$!#9$"1(R?5mq&yK!#9$"13$>CQ)\8L!#9$"1aTL*)y=ZL!#9$"1p'\%eKizL!#9$"1X(HZH"z5M!#9$"1$*p.5:oSM!#9$"2%pZx"4'GpM!#:$"0XT>')*f'\$!#8$"1")H.F-iAN!#9$"1`<F>rMZN!#9$"1#\x'HHyqN!#9$"2%4#HNVKHf$!#:$"1Ncz3F!Qh$!#9$"1ca8[ISLO!#9$"2cs(3l[u^O!#:$"1$*p3&fT)oO!#9$"2vFZ>f3Zo$!#:$"11QY?IO*p$!#9$"2aw"yXP#Gr$!#:$"1Xs<?76DP!#9$"1/s)yOZit$!#9$"2c68'oaDYP!#:$"1'y1./g^v$!#9$"2NbF=s')Hw$!#:$"1=r.c@wpP!#9$"1LH(Q(Q^vP!#9$"2'zF"*z,F!y$!#:$"0v7*R+1%y$!#8$"1i'o2(H"py$!#9$"1AoJL*e))y$!#9$"1r]NG#G**y$!#9$"1.)GiR^,z$!#9$"1;+H?"f&*y$!#9$"21S+X8#=)y$!#:$"1mCTN60'y$!#9$"1Vfs)p'>$y$!#9$"1c0e+#\'zP!#9$"1)z5PuQax$!#9$"1ESb)3&fqP!#9$"1(**p$*eZ^w$!#9$"1d#)RN^7fP!#97S$"1,ZJr$>N%H!#9$"2eMP![Ho')H!#:$"1-k)fIs)GI!#9$"1DFEC<0qI!#9$"2NYVH"y=5J!#:$"2(y*z`d\#\J!#:$"1dycg%3s=$!#9$"2b*z\0%QSA$!#:$"2kdbu'erfK!#:$"1.8HY)>UH$!#9$"295Xn*=`FL!#:$"0;d48O'fL!#8$"2as`8@>0R$!#:$"1&GXTLq,U$!#9$"2'\Bs.7e[M!#:$"1=(y#)*fuvM!#9$"1oN.F8m,N!#9$"14<YzhKEN!#9$"0ivp'=u\N!#8$"0dLv&>">d$!#8$"2kfuO?UGf$!#:$"2c(Q]k/a7O!#:$"1Q.<Am,JO!#9$"1kHR$\#G[O!#9$"1NDgO<NkO!#9$"1*zr_vR#zO!#9$"1P&4!)fjHp$!#9$"0Z#*f&=a0P!#8$"1'*QIeX*pr$!#9$"1^"Rd1Vts$!#9$"1/hij*4mt$!#9$"2:x$>a*=[u$!#:$"1jS+\Z*>v$!#9$"1Y6%>'H;eP!#9$"1y(HK+]Lw$!#9$"1#*)G\(HenP!#9$"14(>$o&*)3x$!#9$"2v6zN'zHtP!#:$"1s"*4Kn$[x$!#9$"1dGyTZ`vP!#9$"2NZ9c1@ax$!#:$"1X7x$*[_uP!#9$"1>-^\a(Gx$!#9$"2C]K!4>]qP!#:$"1D\\DLVnP!#9$"2/s2tb)pjP!#:$"1^h#3?E$fP!#9$"1jT^FXMaP!#9$"1x$HcU"y[P!#97S$"2#RD3CL-IH!#:$"2nt4L#fVsH!#:$"2PB]@P6R,$!#:$"2lT^eR:W0$!#:$"2c-\f)e"R4$!#:$"1u)z"fHQKJ!#9$"2vebu+*ypJ!#:$"1"f0)Q(3h?$!#9$"1t"[#4#>8C$!#9$"12))fX)*RvK!#9$"2l'RFfCL3L!#:$"2lu'>^75SL!#:$"1%)p&z!GpqL!#9$"1fHU*3'4+M!#9$"2&\U/3CIGM!#:$"1`[7+aIbM!#9$"1:LQ*)45"[$!#9$"1F/:Vto0N!#9$"1Rme@[1HN!#9$"0CH.#fB^N!#8$"2:*R+2_?sN!#:$"19t0_#z>f$!#9$"1cFQalc5O!#9$"2:#*HAYxzi$!#:$"1%o%*)*3CUk$!#9$"1<ppI-KfO!#9$"1Mdvm7GtO!#9$"2E*G2wS7'o$!#:$"14AVPp'yp$!#9$"1=rhL%H&3P!#9$"1d'RMNK"=P!#9$"1\F1$f(pEP!#9$"11L3d![Ut$!#9$"2aQF)fv!3u$!#:$"0n*GF2SYP!#8$"1<*G,!H0^P!#9$"2kk3"Q+zaP!#:$"1L#[jiQwv$!#9$"1:Ws$eD'fP!#9$"1optt"y2w$!#9$"1Q^7=R7hP!#9$"2&HQ\80pgP!#:$"190=^d]fP!#9$"1DccSufdP!#9$"1>7+OL*\v$!#9$"1*y/v1@<v$!#9$"2X!yLv!3yu$!#:$"1v<c[:GVP!#9$"2WyQwOo"QP!#:7S$"2nD_!z#yo"H!#:$"2uc;">*e&eH!#:$"2cc3`PP$**H!#:$"2ZCmGv!=RI!#:$"2N4FF<e!yI!#:$"2Uu*>F3%f6$!#:$"2cDuv--G:$!#:$"29**zNC<')=$!#:$"1\XkMTOBK!#9$"2c:^HdAqD$!#:$"0;N$eYd*G$!#8$"1hF5DZ+@L!#9$"1sd*3M*H^L!#9$"1kew(HZ/Q$!#9$"1>$fcfR%3M!#9$"2b!)[&=%p_V$!#:$"1k@[.@$4Y$!#9$"1c!\G5Da[$!#9$"0x%>Szu3N!#8$"1Rf$*f@!4`$!#9$"1KgNr7*=b$!#9$"2%3"yso?<d$!#:$"16%Hyl(R!f$!#9$"0KE(*>Jzg$!#8$"1\*=:-KVi$!#9$"2MzU_W7'RO!#:$"1Z%H\K'y`O!#9$"1i3Vi*oom$!#9$"1>.,@q()yO!#9$"2M6]rVG)*o$!#:$"10'>5LU(*p$!#9$"2ClQg"*Q'3P!#:$"1o/'zSRlr$!#9$"1F[)Q$fYBP!#9$"1,tfT9WHP!#9$"1jKh4'*[MP!#9$"1#z'GeZjQP!#9$"13XKi<!>u$!#9$"2l8B]'fJWP!#:$"1.s_%4.fu$!#9$"2N5!Q#=*oYP!#:$"1)*zh%[+nu$!#9$"2DkJcSjfu$!#:$"1kn*\U/Xu$!#9$"2a(*[u-]Bu$!#:$"1EY:Om_RP!#9$"0"[S\01OP!#8$"1*yN3)y(>t$!#9$"1AeD.XIFP!#97S$"2LD<8^oS!H!#:$"2Uw$>^c.XH!#:$"2MpUFiL^)H!#:$"2[t'yZ3LCI!#:$"1RT'fi(fiI!#9$"1/(3t=1**4$!#9$"2M^[vtIi8$!#:$"2nMMg\Z:<$!#:$"1cvCEZ$e?$!#9$"2Y3w)eF2RK!#:$"1e_[2SCrK!#9$"29DZo(HL-L!#:$"2aaHSEEBL$!#:$"1FvP_D@hL!#9$"2%e)f&)f#)*)Q$!#:$"2%=r(G@HcT$!#:$"1'4kIBZ6W$!#9$"1tR%=\LbY$!#9$"1/%=&yny)[$!#9$"194!\z24^$!#9$"13?#f5**=`$!#9$"1yHD&3l<b$!#9$"20U6j&=^qN!#:$"1=Z-Hs9)e$!#9$"1D)QFj!o/O!#9$"0nnc/B,i$!#8$"1GUG@p[MO!#9$"1Ju07hyZO!#9$"1E'R4zN+m$!#9$"29e25P_7n$!#:$"19elBMX"o$!#9$"1%)[t&fd1p$!#9$"1M'=g_%)))p$!#9$"1\UPhZ:1P!#9$"1Fm*Hn*[7P!#9$"1jZ0t8"zr$!#9$"1tC3KEWAP!#9$"2&G!Huz1hs$!#:$"1)QnIrF*GP!#9$"1'pQ5kH4t$!#9$"1C?z%=P@t$!#9$"2%)ydY@vDt$!#:$"1*GsczoAt$!#9$"10&\z6V7t$!#9$"2lqu(HM_HP!#:$"1ZGdt\8FP!#9$"1&H$)[#H5CP!#9$"1F6XMBX?P!#9$"1,W_t!3ir$!#97S$"2'*)R5&>z:*G!#:$"2&RB+V2&=$H!#:$"1b$e_K%GrH!#9$"22UA'>'\)4I!#:$"2ExT_0=v/$!#:$"1G-IiGE%3$!#9$"2Z>r]6f+7$!#:$"2sr(HoP)[:$!#:$"1rs%oo:()=$!#9$"1*QB'oc`@K!#9$"20_\2YELD$!#:$"1wO2pF2%G$!#9$"2aXu5EhPJ$!#:$"1G+Gi0QUL!#9$"0jTjC@*pL!#8$"1p8$*=eP'R$!#9$"/6m&pQ<U$!#7$"1WUCuh+YM!#9$"1@c9,k<pM!#9$"2O(f)HL\7\$!#:$"2;'o)HpEA^$!#:$"1W!fF#>6KN!#9$"1rBvH,"4b$!#9$"1X!)pI!G'oN!#9$"1$o%Q"*QF&e$!#9$"1ey6ju&3g$!#9$"1p*=i"**Q:O!#9$"1bI#4x$))GO!#9$"/p.EGNTO!#7$"1L$=d37Gl$!#9$"1f^t%oxKm$!#9$"1-xb7owsO!#9$"21fKmj(H"o$!#:$"2E]x^A*)))o$!#:$"2/gE)p9c&p$!#:$"0TX%3]L,P!#8$"1[5U[6B1P!#9$"2X()>2zr-r$!#:$"1:'*)\NzMr$!#9$"1lp'fqwer$!#9$"1nZV"3([<P!#9$"0Rb>-M$=P!#8$"21!))e-8W=P!#:$"2k>&ymG$yr$!#:$"1JMiiF`;P!#9$"2WOZ:3lXr$!#:$"0VL(**Q&>r$!#8$"1BQ?AKs3P!#9$"1Y5yHp*[q$!#97S$"2kO#pUjRzG!#:$"2m44jm*)*=H!#:$"0@e1aux&H!#8$"27]z9%=s&*H!#:$"2iC_)zS!G.$!#:$"1z`/\a**oI!#9$"1w/Sl=F/J!#9$"2wTkJ+6'QJ!#:$"2#z(=KK#*><$!#:$"1sHo&4(R/K!#9$"1tyR;%3eB$!#9$"18fK<7@mK!#9$"2O&=$4F#f&H$!#:$"1Xjj)=SRK$!#9$"1*ygMTX7N$!#9$"10u+2-]xL!#9$"1uE%4j)p-M!#9$"1XZ<Bl$oU$!#9$"11n$*o9"*\M!#9$"1dp+nF#>Z$!#9$"29m:8RrG\$!#:$"1G@?[*fF^$!#9$"2a5-'HEfJN!#:$".cC;v$\N!#6$"1;#RYv9hc$!#9$"2&=UsP+#=e$!#:$"2N,!*o+,lf$!#:$"2l@*He*o,h$!#:$"1FaECk$Gi$!#9$"1WS`1r^MO!#9$"2'Q')*z!eAXO!#:$"1[><j$y\l$!#9$"10gsn:zjO!#9$"1P(4u5$orO!#9$"2/hWm[r'yO!#:$"1(*)*3dfx%o$!#9$"10)ekW;+p$!#9$"10^&y[8Wp$!#9$"1%Q())\"))zp$!#9$"1%\/y'>w+P!#9$"0X")e(ov-P!#8$"20,q79&*Rq$!#:$"1uD^*H*\/P!#9$"1u>!>4#H/P!#9$"2EP`[S'R.P!#:$"14zV6_$=q$!#9$"2k+6_^J'*p$!#:$"2Mj^kH3op$!#:$"1'=74Y)Q$p$!#97S$"1)H=![n]nG!#9$"1)>ogoQk!H!#9$"2l(G+@,fWH!#:$"2'y*z72L>)H!#:$"2b,;S3T%=I!#:$"0K&>z#*3aI!#8$"2X=l%)Qa))3$!#:$"2'*eP%)y9F7$!#:$"2&GYWG0lbJ!#:$"1j7s_Lk(=$!#9$"11_,<nn=K!#9$"1$f\'*zN([K!#9$"1*\*32v!yF$!#9$"1dx3u/)eI$!#9$"1e$4&e]%HL$!#9$"2DRc4L$**eL!#:$"1'>P$f!>SQ$!#9$"2/sV&)o<!3M!#:$"2bA?aJ')4V$!#:$"1@UAfO#HX$!#9$"1%f'zF+$QZ$!#9$"1JGnzsq$\$!#9$"1<*zByeD^$!#9$"12`<n$*QIN!#9$"1nQ\!G0sa$!#9$"1boPKT,jN!#9$"2:Kj@%[#yd$!#:$"1d"H<eZ;f$!#9$"2m!=c;P\/O!#:$"1U-'\uvjh$!#9$"1f&\cB2ti$!#9$"1Xx4kFIPO!#9$"1u*=y%yPYO!#9$"2X=V4))[Xl$!#:$"1:cKoI$=m$!#9$"2wxi%f$[#oO!#:$"0#HZ#Q8Qn$!#8$"2:\*QytayO!#:$"1wc+O,Z#o$!#9$"2ao'\F>g&o$!#:$"2&yU.XM'zo$!#:$"21F&fQdd*o$!#:$"0G_^:g/p$!#8$"1c6Uz#Q1p$!#9$"0HDj(=8!p$!#8$"1tCKNG'*)o$!#9$"1&RDn6`ro$!#9$"1_?8+Zs%o$!#9$"1(pn]`*p"o$!#97S$"1@GdMz*e&G!#9$"2D1$G4[=%*G!#:$"2$*=?Mm<<$H!#:$"2=d'[0'p%oH!#:$"2KGgW<:W+$!#:$"1Gt]"QI&RI!#9$"2C6vnu#ztI!#:$"2&\8>J8=2J!#:$"2ED;Kww'RJ!#:$"2x@>0Eh7<$!#:$"1EXdY'=>?$!#9$"1)[$>iVjJK!#9$"18H.saRgK!#9$"1<<9m1>)G$!#9$"21mGmD5]J$!#:$"1$\a&ph%3M$!#9$"1R8<K>plL!#9$"1G/lbEa*Q$!#9$"1%pcM,&R7M!#9$"2mxWb@ZUV$!#:$"1udcy*)4bM!#9$"0w(G#\^\Z$!#8$"2/%\W#Q2Q\$!#:$"1"GT-nq;^$!#9$"2bhV(GnaGN!#:$"14qSOAWWN!#9$"1C:)z7l$fN!#9$"1nW0VXKtN!#9$"1wa[s2L'e$!#9$"2'[Q*H?&R)f$!#:$"2&H"e,EI&4O!#:$"1`q3]$\(>O!#9$"1i)=+!o1HO!#9$"1PF5)z(\PO!#9$"1N7hK$e]k$!#9$"2b7F38l<l$!#:$"1'4TyfNwl$!#9$"1i*)[bxoiO!#9$"0U[;=Spm$!#8$"1>d5]>TqO!#9$"1UC>rD7tO!#9$"1A;QL>4vO!#9$"0#4-Y-MwO!#8$"0ioL)z)on$!#8$"2O"f3IevwO!#:$"1'>E$GY'fn$!#9$"1r$\lKNXn$!#9$"1hg<I*)[sO!#9$"1vO=ak%)pO!#97S$"2a)RC2"eX%G!#:$"22G\vt:A)G!#:$"2<$4BkW9>H!#:$"2.\"oN%=`&H!#:$"2([pHSJr!*H!#:$"12?$eW0`-$!#9$"16,GMO2fI!#9$"2VR1AV(*>4$!#:$"2Cf#[O!eS7$!#:$"2mi$RN"Q_:$!#:$"2VK1^#>_&=$!#:$"1"*4^@^*[@$!#9$"1&pmu'\MVK!#9$"1*[+bBg3F$!#9$"16*HgAJuH$!#9$"2c5'>h(\IK$!#:$"1OFTu"4xM$!#9$"1,?v&H/9P$!#9$"1Y^IL98%R$!#9$"14#p1N))eT$!#9$"1)QD2CumV$!#9$"2O)o)ep*[cM!#:$"1r^+vmLvM!#9$"1)yLrY=K\$!#9$"2/RdBlR,^$!#:$"1=9!*fg5EN!#9$"2kwVPsC6a$!#:$"2v*\&f$Q?bN!#:$"2'Hq*zp_$oN!#:$"1zG@q;e!e$!#9$"1_4u>@!>f$!#9$"2MY(3njK-O!#:$"1c#*eJw'=h$!#9$"2'Hp*f(*R0i$!#:$"2&HZS]#e$GO!#:$"2C:\d.Q`j$!#:$"1wF4(e&\TO!#9$"0X.pxZok$!#8$"1$yJ&Q?T^O!#9$"1x=35j?bO!#9$"2mgh)y*[#eO!#:$"1`%*eE)e0m$!#9$"1l]_v\:iO!#9$"1p.oNo0jO!#9$"1xuD`SGjO!#9$"1-&[/YcGm$!#9$"2/C@n-%zhO!#:$"1$>.<"o6gO!#9$"1$*\w>\%yl$!#97S$"2c]xx5wM$G!#:$"2W)***H#)>0(G!#:$"1c(phZeo!H!#9$"1Tb%y?nC%H!#9$"1;P7:CKxH!#9$"1z3x)y,9,$!#9$"14#ziM%oWI!#9$"29ww2Y]r2$!#:$"2&4Ju&)=y3J!#:$"2&*[*\v<cRJ!#:$"1B1Y,ZZpJ!#9$"2$fP:km])>$!#:$"2c<G55XmA$!#:$"2%Re4!*)yQD$!#:$"2u#4Y\$)>!G$!#:$"1&=7GB&f0L!#9$"2m'y'4si+L$!#:$"2k*zd4af`L!#:$"0t-JH*=wL!#8$"1&3*>X<%yR$!#9$"2%y/m&\^&=M!#:$"2/6lSg=$QM!#:$"1m$*HIW9dM!#9$"2v)>8-;.vM!#:$"1#zA+)R)>\$!#9$"1')pN>m+3N!#9$"2c0-.t0J_$!#:$"13#*[N')GPN!#9$"2:+Ddsj0b$!#:$"20cTRTSHc$!#:$"1c`f(3HWd$!#9$"1Q\sf5/&e$!#9$"2lbx)=&)y%f$!#:$"0.8"yWo.O!#8$"1t1HBFu6O!#9$"1Y;%3wx*=O!#9$"18[AlZSDO!#9$"1G*ei_R5j$!#9$"1i"=lR)*ej$!#9$"1a7(*Q#)**RO!#9$"0LP]PcLk$!#8$"1FNAL0*fk$!#9$"1*=,&)z=zk$!#9$"1K&oDcf"\O!#9$"1L%Q^ZJ(\O!#9$"1T/Q'R`'\O!#9$"2YGO1NW*[O!#:$"1H"=:[Bwk$!#9$"1n')[3+rXO!#97S$"2vSfNPTE#G!#:$"1^^RFg3fG!#9$"27*4\o#[[*G!#:$"1o^=%=/*HH!#9$"2GLi7/JU'H!#:$"1(*=*4K2y*H!#9$"2A)oW]FhII!#:$"2')>R+LGE1$!#:$"2CuBsNOQ4$!#:$"2N,SjW?U7$!#:$"2=JwXalP:$!#:$"1Fx0WzX#=$!#9$"1**\2!H&G5K!#9$"2b*p[&eOsB$!#:$"1ZYM">-LE$!#9$"19*)zBQZ)G$!#9$"2b]ptaWFJ$!#:$"2m`kYw3hL$!#:$"10Ul-AceL!#9$"2lb8c*=5!Q$!#:$"163'[;E2S$!#9$"201GafM/U$!#:$"0#3")4!G#RM!#8$"1j9&*Q%3rX$!#9$"1>%>14zSZ$!#9$"1awN:V9!\$!#9$"183<q&4`]$!#9$"2&>_8!Q"e>N!#:$"1)p9")HnH`$!#9$"1&4pF'eZXN!#9$"2mBW]b;rb$!#:$"1/IL`(**yc$!#9$"1cr\(oOyd$!#9$"2YzQ>RRpe$!#:$"1(Q3zl?_f$!#9$"1ZQB&)Rp-O!#9$"0o^O`t$4O!#8$"1tq"R2u_h$!#9$"2a)\')Q4T?O!#:$"1o()eu**zCO!#9$"1An*=\d%GO!#9$"2DR+#=-SJO!#:$"1y6)*\_kLO!#9$"2uFuf+5_j$!#:$"1l5?"=7hj$!#9$"1^D(>qpjj$!#9$"1)=y>o+gj$!#9$"2MSl&zL-NO!#:$"1tiIchXLO!#97S$"2XL\%**Q/7G!#:$"/`6%)Q!z%G!#7$"1:3w*)H5$)G!#9$"04et?=w"H!#8$"18:/OwU^H!#9$"2n<uh^5X)H!#:$"19o,fs%o,$!#9$"2d#)QHZ>%[I!#:$"2.zDh)*4#zI!#:$"0H_d'G?4J!#8$"1JNgLMQQJ!#9$"20dV"y#Qn;$!#:$"2#)>UIEbU>$!#:$"2k`'=KN#4A$!#:$"1Tp@6NtYK!#9$"-k0pnrK!#5$"1oUe&pYdH$!#9$"1yjFFr$*=L!#9$"1ipK,PCTL!#9$"1:n#z:jEO$!#9$"1tK1fM>$Q$!#9$"2N1zywLGS$!#:$"1)=*HDWe@M!#9$"1'[mS#pWRM!#9$"1))yK!)QUcM!#9$"1&*G#H+>DZ$!#9$"0BI01Px[$!#8$"18O$o%Q3-N!#9$"1*HrQ9mb^$!#9$"1%*pt$o">GN!#9$"2v!>!)3"p*RN!#:$"1G*G1$z!4b$!#9$"13.v([=5c$!#9$"2E(*zC!>JqN!#:$"2%=.$p.+)yN!#:$"0a,%[a\'e$!#8$"1m)3VM6Mf$!#9$"1B)4o`h&*f$!#9$"0o*G(Rg\g$!#8$"1u'e3"Gi4O!#9$"1'f458kNh$!#9$"1e&yX8+oh$!#9$"1Ue9xpM>O!#9$"14r+\6A@O!#9$"2/ZQ=VRCi$!#:$"1P;<c)=Ii$!#9$"2l+)yfm(Hi$!#:$"1GG8Z-LAO!#9$"1kE%)\r4@O!#97S$"2MG;C?u;!G!#:$"1J"QGYjp$G!#9$"0"*[JL7;(G!#8$"22(G&pm)f0H!#:$"23xG+O,*QH!#:$"1K3a"Q+:(H!#9$"2:;U@!oP.I!#:$"1oS"*=G^MI!#9$"1dw4x<*[1$!#9$"292(e)=)\%4$!#:$"2Uomru<L7$!#:$"2e\([StL^J!#:$"1n1ze]ayJ!#9$"1"f)R+-$\?$!#9$"16i+uK[IK!#9$"2%\q"y*f>bK!#:$"2C'*zbHh!zK!#:$"1yOf*Gt?I$!#9$"2ccc2HFUK$!#:$"1#G\dy>bM$!#9$"1"3Z9U[fO$!#9$"1rvm')>^&Q$!#9$"1WwO"R5US$!#9$"2&p3TVY/AM!#:$"2l@LI#o,RM!#:$"29;T^0I^X$!#:$"2%o7ez%)QqM!#:$"0.D&>sz%[$!#8$"2XS;"[BO)\$!#:$"1hC``346N!#9$"1p)4Eg!*H_$!#9$"1A9>..2MN!#9$"1wuMl%RVa$!#9$"2WRF;O3Qb$!#:$"1l_\')z[iN!#9$"1wH5:+RqN!#9$"1X;bhn_xN!#9$"29#**yO6"Re$!#:$"1HWH1mb*e$!#9$"29!RnZrZ%f$!#:$"2cNM$3so)f$!#:$"2&>zLj;?-O!#:$"1`Fetd.0O!#9$"0(fUW^?2O!#8$"2Mel[oD(3O!#:$"1E7RnNh4O!#9$"1,qg)=&))4O!#9$"2l.B28d&4O!#:$"2NT0S7Y'3O!#:7S$"11)\()GB:z#!#9$"2Ka$pO`DEG!#:$"2#eW//lOgG!#:$"2M:$3oa$Q*G!#:$"1^R6()=kEH!#9$"1N.$*HkweH!#9$"2#eYV-3>!*H!#:$"2u8f8x(*3-$!#:$"2'fk/&=r30$!#:$"2[Bg7*f4!3$!#:$"1Jo+_#e&3J!#9$"1i=Ob^COJ!#9$"2['eIC]9jJ!#:$"1w\eAtC*=$!#9$"1'QBwlUX@$!#9$"2'))\_!yA!RK!#:$"1"37Ke!oiK!#9$"1@)eF45bG$!#9$"2;#o)HY1vI$!#:$"1t"*RjfmGL!#9$"1Gz`lf)*[L!#9$"1Wz&o#\YoL!#9$"1bv@sB5(Q$!#9$"2NS$4t))*[S$!#:$"0*GjCg&=U$!#8$"1[Nm?k(zV$!#9$"1lLyEOE`M!#9$"2vfg;:AxY$!#:$"2O:vmTd8[$!#:$"1Xm.Cd<%\$!#9$"1:l^BU=1N!#9$"1vL$z(3R<N!#9$"1>:`FW!y_$!#9$"1NKR`VVPN!#9$"1r\-S3HYN!#9$"1-oDPZQaN!#9$"1#4$f@vshN!#9$"1G-:d7LoN!#9$"1o[Jc&3Ud$!#9$"1BIDSDPzN!#9$"21!oR*zOQe$!#:$"1t<.a`h(e$!#9$"1DM5:Es!f$!#9$"1VlNXL<$f$!#9$"17j"4i#)\f$!#9$"1lWT$zlhf$!#9$"1n#eFXQnf$!#9$"1OUj!R;nf$!#9$"2%yC$[c:hf$!#:7S$"1&HROi#e"y#!#9$"19$3<bqd"G!#9$"2)GE$)*=c$\G!#:$"1LN'>+>B)G!#9$"2ecZjPRY"H!#:$"1r/N`')HYH!#9$"1(3s1:zs(H!#9$"23Q-f=kv+$!#:$"1T#zj4Qr.$!#9$"2w)*=jD')f1$!#:$"20*3?"4&4%4$!#:$"2BQ(R*3_97$!#:$"2ez^5"e/[J!#:$"2#3c@%*e'Q<$!#:$"1\pEeI!*)>$!#9$"18=k/"\JA$!#9$"1&z=\"pfYK!#9$"1(42jWS#pK!#9$"1bifCZ2"H$!#9$"1hUjMe47L!#9$"1U'3%34IKL!#9$"1eA"36)o^L!#9$"2ag#=BmDqL!#:$"1.'4Zi1!)Q$!#9$"1$z7=FR\S$!#9$"2:+%fvm0@M!#:$"2&oiZx=OOM!#:$"1#*R9B)e3X$!#9$"2un-\L_XY$!#:$"1a'zD3[uZ$!#9$"1[&*3`Db*[$!#9$"2&\**y=I(3]$!#:$"1kRv/vT6N!#9$"1"*p3bZ>@N!#9$"2:2:%)>9-`$!#:$"2DprE"f[QN!#:$"2N)*3$*e?ga$!#:$"1Ow0(\HGb$!#9$"1$*zNXW#*eN!#9$"12AeZxJkN!#9$"2&fX;%=A!pN!#:$"14Pvl40tN!#9$"2:&p\'p<kd$!#:$"1#fivLO"zN!#9$"1(=-5<@7e$!#9$"2uw\Sw'o#e$!#:$"12.&R$za$e$!#9$"1CYS8(>Qe$!#9$"1TDr;t^$e$!#97S$"1l;$H5W=x#!#9$"1mkO)f+b!G!#9$"2$Q(y;`s&QG!#:$"2d]S$=,/rG!#:$"1x&QaW%)G!H!#9$"1#>bz\(3MH!#9$"22s`E=KY'H!#:$"2ZyA&\B]%*H!#:$"1d9u5GoBI!#9$"2;gPrNf@0$!#:$"1Y/7s(=*zI!#9$"2k.yI%)[p5$!#:$"1P"R-PQK8$!#9$"2<V3I<x(eJ!#:$"19Dz$4cN=$!#9$"/JM**pc2K!#7$"1,@lzF!3B$!#9$"1X:WWtD`K!#9$"29.*H<c#\F$!#:$"1Nq^FN!eH$!#9$"2aS,(**z)eJ$!#:$"2m<@7%p<NL!#:$"2')4yvApON$!#:$"2N;!y&ok8P$!#:$"1=(3e2k#)Q$!#9$"1*zt-2pVS$!#9$"2k_cBB#o>M!#:$"1$\T@*p?MM!#9$"1Z`W@w%zW$!#9$"1n1D2#44Y$!#9$"1*ecQi(4tM!#9$"1(\fQ]>X[$!#9$"1*Hy!3A=&\$!#9$"1.)RXz$40N!#9$"1\)Rm)HE9N!#9$"1cdfS"*pAN!#9$"1U]I7ATIN!#9$"2u:CPs7u`$!#:$"2Maz)G<rVN!#:$"1<8iz2K\N!#9$"1AvA"*=DaN!#9$"1">kz]<&eN!#9$"29P.(o/8iN!#:$"20#ypsR5lN!#:$"1wugX:XnN!#9$"2%4(oe+(=pN!#:$"2YG$\JWKqN!#:$"1&Qzt7y3d$!#9$"29c7Kfi3d$!#:7S$"2%fS*o-+Bw#!#:$"2n.D^QPaz#!#:$"2jnx")42!GG!#:$"1(oe'*4!**fG!#9$"10(=e9o8*G!#9$"2#G@QSQ7AH!#:$"2m)f<d1C_H!#:$"2(*=90'Hq")H!#:$"1f>IBg\5I!#9$"1,M$G/1'QI!#9$"2-njU:?g1$!#:$"2:NX<WEF4$!#:$"2n.Fs%Rr=J!#:$"2W<?pnsR9$!#:$"2(z#[ag$\oJ!#:$"2VX+xnoA>$!#:$"1v(=%33H:K!#9$"12lbzQbPK!#9$"2vB^at_!fK!#:$"1LQ'e<$yzK!#9$"1F1%p%>u*H$!#9$"2aWi,tE*=L!#:$"1\(\$HhLPL!#9$"1N()zb'p\N$!#9$"1Y!G;rF=P$!#9$"1i/Ur:"zQ$!#9$"0$zCiLA.M!#8$"1@@<Ugw<M!#9$"1AeJxLaJM!#9$"1"G.w"*fXW$!#9$"2u+q7(4#oX$!#:$"1dUCyDLoM!#9$"2'pR]#[,"zM!#:$"1"y8N5N"*[$!#9$"1;t%o]T%)\$!#9$"14**4u$Hq]$!#9$"1^n>sz!\^$!#9$"2YZ+A7(3AN!#:$"2b=@x;x&GN!#:$"1=..V*)QMN!#9$"1:y(4uL&RN!#9$"1@*43GBSa$!#9$"13A)fnpya$!#9$"1'of?S&3^N!#9$"1EEzkKo`N!#9$"1iLXojnbN!#9$"1hc^%3yqb$!#9$"1:Wv??!zb$!#9$"2&>%R3*>;eN!#:7S$"1@I#e2VHv#!#9$"1>wt8Kd&y#!#9$"1Litg=l<G!#9$"2K@\ojg"\G!#:$"2%3L=R>3!)G!#:$"2$3xQl*)R5H!#:$"2t0&4Nd4SH!#:$"2br'H4r:pH!#:$"2#\*=w!)ov*H!#:$"1^UZBuJDI!#9$"2ATpqV!R_I!#:$"1=&fiAw(yI!#9$"0TW_2kW5$!#8$"1Z:6"=W%HJ!#9$"2LLO#ewq`J!#:$"1/#e0aYs<$!#9$"1Rvv"y`+?$!#9$"20BlLDB@A$!#:$"0@V3u\MC$!#8$"1s/oP*GSE$!#9$"1a\bPu&QG$!#9$"1UuhCF$HI$!#9$"2Y&)e>;`7K$!#:$"1BsKyz")QL!#9$"0VlJDFcN$!#8$"1^[/+>orL!#9$"1@Sd[O)pQ$!#9$"1p['[-N:S$!#9$"2Y?U1LR`T$!#:$"2Nk%3@1SGM!#:$"1>x["oB2W$!#9$"1^9%G+9BX$!#9$"1bjTcx<jM!#9$"1#z_uw@LZ$!#9$"1^#\!)[`F[$!#9$"1%RX$p4["\$!#9$"2/m&4LG^*\$!#:$"1l&GFCeo]$!#9$"1mh)R(o_8N!#9$"2%eoB&))G&>N!#:$"1VJb()[([_$!#9$"1JUk9fdHN!#9$"2v9JFRVO`$!#:$"2Df\/6*3PN!#:$"1sJ'))=D*RN!#9$"2Mnm;0k@a$!#:$"2O"fl&R=Qa$!#:$"1dt`h6!\a$!#9$"1Us90bUXN!#97S$"1s]N(GmPu#!#9$"2aw\iv+fx#!#:$"0Dl0<*\2G!#8$"2N$Qj1QaQG!#:$"2=VAan<!pG!#:$"2xg;Za/*)*G!#:$"2%)RR%f*)=GH!#:$"2V!p1gi&o&H!#:$"0D4"*f#*[)H!#8$"2ZBKc&\G7I!#:$"1y<!y9@!RI!#9$"2(y)RM%)*3lI!#:$"1(p(eo0[!4$!#9$"2$3x29P=:J!#:$"2VxB,a!>RJ!#:$"23&R%*yJ\iJ!#:$"2()\Paj%3&=$!#:$"29VVfyep?$!#:$"0"Q6v.6GK!#8$"2ExS4,N&[K!#:$"1>;)z:H#oK!#9$"1e9$)G,>(G$!#9$"1ex*Q2;aI$!#9$"2DzN&pf!HK$!#:$"1>#3Ygf'RL!#9$"1te`lvnbL!#9$"1%o5*>7'4P$!#9$"1DYu)p7bQ$!#9$"1a<Vx[L*R$!#9$"1GG]b8V7M!#9$"2a;a_V1[U$!#:$"/WL*4lkV$!#7$"1fSP()HTZM!#9$"1yTurjldM!#9$"2O$3`K@?nM!#:$"1/H"=tdgZ$!#9$"1p/L(=JU[$!#9$"1Z4jX5t"\$!#9$"1*\zZNm&)\$!#9$"1K$>njYZ]$!#9$"1@jOf=G5N!#9$"1V3_3C=:N!#9$"1N!y'f!f%>N!#9$"2m^:)\H7BN!#:$"1bbB\b=EN!#9$"2X%f`L'e'GN!#:$"1f8ybUbIN!#9$"1.R%*=Z)=`$!#9$"1n'y'[DmKN!#97S$"23,Y`.jZt#!#:$"2o9TN.8kw#!#:$"1Ev;P<a(z#!#9$"2$*zW-0K"GG!#:$"2%f$f=dn"eG!#:$"2`6VrhKw)G!#:$"2k^KlB7l"H!#:$"1M@FLAzWH!#9$"2$zL8z"fC(H!#:$"2kuC$G/]**H!#:$"1NidHT!f-$!#9$"2s]'QO#f;0$!#:$"2l^Fa^bn2$!#:$"1br5`N=,J!#9$"1'f'HgZ$\7$!#9$"1\XBv8+[J!#9$"2baEYYw.<$!#:$"2BtiH#R0#>$!#:$"02$3q%GI@$!#8$"1DS-ZcHLK!#9$"/d=5=&GD$!#7$"1UJ'Q7%prK!#9$"0.!>^0#)*G$!#8$"0:ZN%)HsI$!#8$"1)*>\G:#RK$!#9$"1p&pi*e*)RL!#9$"1rw'\)R:bL!#9$"1bKQkvppL!#9$"1^*o'="HNQ$!#9$"1@9$y#=l'R$!#9$"1,a:[&p!4M!#9$"1F)G;z'y?M!#9$"1fiW/(3=V$!#9$"2'o'oY/T@W$!#:$"1a(="f,z^M!#9$"1)="ffHwgM!#9$"2Mwd%)*o1pM!#:$"1ypuV*4nZ$!#9$"1rux`0q$[$!#9$"1[RU^w/!\$!#9$"1oK4)fgd\$!#9$"/t[n"\3]$!#7$"1QvA>NK0N!#9$"1,\TsT>4N!#9$"2m<'>z>Z7N!#:$"1ukS)4o^^$!#9$"17ZNpRH<N!#9$"1/n"eGh)=N!#9$"1ExHq>))>N!#97S$"22Y(>5q#fs#!#:$"2&y#*H&R.rv#!#:$"2$)[:#3Ex(y#!#:$"2n"oY`"=z"G!#:$"2W%zr$>Cv%G!#:$"2#yJipbdwG!#:$"2xn%3=y00H!#:$"1&***)))=dH$H!#9$"2o<,(f1EgH!#:$"1QIP\f&p)H!#9$"1oPeH:.8I!#9$"2QXmZjw%QI!#:$"2WaN.F"GjI!#:$"1hx?>iV(3$!#9$"2)*>Am/L46$!#:$"20upK5kP8$!#:$"2C%ouED#f:$!#:$"2Y8a8C-u<$!#:$"2bkki&z>)>$!#:$"0n"4i^I=K!#8$"1U/*e7?xB$!#9$"2&[Bj%))RkD$!#:$"2;J%>PAYuK!#:$"2b55\t&y"H$!#:$"1lPtq'4%3L!#9$"1E)oq1MVK$!#9$"1^,Ki'f&RL!#9$"2O3Gi*y3aL!#:$"2b8ZS*3#zO$!#:$"0'Qj\91"Q$!#8$"2;Z5v+8NR$!#:$"1WE(Rkz_S$!#9$"1-8JZgO;M!#9$"2aS>s\xnU$!#:$"2XobM%)>lV$!#:$"1ox$Q[*fXM!#9$"2XkP;MBSX$!#:$"1-BXU))zhM!#9$"1/Bi!*Q$*oM!#9$"0aq_%oVvM!#8$"1sE.'\;8[$!#9$"1,*\&Q?e'[$!#9$"1fMz\IC"\$!#9$"2u!))Gj%4`\$!#:$"11gIW:z)\$!#9$"1B33l)*p,N!#9$"2/AH,GXS]$!#:$"2'Rdr,*Qe]$!#:$"2;$R`v?42N!#:7S$"1f$>0?_sr#!#9$"11)=8]lzu#!#9$"2Oe?2:&=yF!#:$"2CN8zA&*y!G!#:$"2<(RuN/3PG!#:$"0s(\>hslG!#8$"2bi6UG=Q*G!#:$"1_+\5OM@H!#9$"2BG'zo%*G[H!#:$"1C!*>KRkuH!#9$"2:Wdvy&R+I!#:$"2BYL^aMb-$!#:$"2)e\iY/0]I!#:$"2$[#=;ZMR2$!#:$"2mJjCMyr4$!#:$"2B#)zv_u(>J!#:$"0m1KC;<9$!#8$"1HCh`u*H;$!#9$"1&e)ypGh$=$!#9$"1:8lYzb.K!#9$"0L#yy)GGA$!#8$"2lzUZfA9C$!#:$"1N#)**\nLfK!#9$"2a*f\=(plF$!#:$"1=,%He?JH$!#9$"1W;"Q7*)*3L!#9$"2&)H&=2e<CL!#:$"0>'Rr<oQL!#8$"1)e7E")3DN$!#9$"1hIPp$fcO$!#9$"2W;[h]O"yL!#:$"2Mg))f*Q%**Q$!#:$"1$>BB!e3,M!#9$"1_6(*fqc6M!#9$"1_TVbIR@M!#9$"1kU`1(p0V$!#9$"1=VYTM5RM!#9$"20Y<t<,qW$!#:$"1`C;)HqUX$!#9$"2%>7tK'=4Y$!#:$"0Q%yJW&pY$!#8$"1\*>_M'QsM!#9$"1)H*)*)RBsZ$!#9$"0X$)=(\Z"[$!#8$"1@8Ds2:&[$!#9$"2C55Z"3E)[$!#:$"2k=1pR:3\$!#:$"1GLQw]#G\$!#9$"2&*e7wk+V\$!#:7S$"1al-wGt3F!#9$"1:(GSI$**QF!#9$"1iLSLIxoF!#9$"2nQbMpc!)z#!#:$"1%y4\]Ho#G!#9$"1W(*o(Hx]&G!#9$"2v.Qt_'y#)G!#:$"2&pF0!HW*4H!#:$"2L#HJO$Ql$H!#:$"1JO2$3dD'H!#9$"2B_:Xi*)z)H!#:$"2c'pLTd#G,$!#:$"2c_#e3f0PI!#:$"2lN0?Ir11$!#:$"2;mlH!Qm$3$!#:$"2.jr=+Eg5$!#:$"2Yft,?^x7$!#:$"2t@E4TL)[J!#:$"2yfPzNn#pJ!#:$"1-"GNZ[!*=$!#9$"2O`D\*G<3K!#:$"0"oKfujEK!#8$"1p)fwpRWC$!#9$"1eF3FydhK!#9$"1G+EU20yK!#9$"1n$fa+eQH$!#9$"1uU^N)***3L!#9$"1`4q&4xMK$!#9$"1j*z0G"HPL!#9$"1$>b=]W/N$!#9$"1mYIt%RHO$!#9$"1/#R[\zZP$!#9$"1:kuN%ofQ$!#9$"2/qyrr5lR$!#:$"2m![%RH6kS$!#:$"1m_mNcn:M!#9$"1/DN2(4VU$!#9$"1,nZ\*>BV$!#9$"1z%yvD8(RM!#9$"2'[%*[hp\YM!#:$"2k:@U!)yEX$!#:$"12De?pEeM!#9$"1b\e:)pKY$!#9$"1iPpUjpnM!#9$"2wi#)>ob:Z$!#:$"2%*fZ#=t&[Z$!#:$"2/yM">5hxM!#:$"1D[L8o#)zM!#9$"2YP&*)o\^"[$!#:7S$"2$3gdrNO+F!#:$"2$Qw:K5=IF!#:$"2$)3!=5-`fF!#:$"2L6E<E'R)y#!#:$"1&RNT!\w;G!#9$"1T+%GVAY%G!#9$"2k)Q%ptb>(G!#:$"0v=NJ_()*G!#8$"1vWf!G+]#H!#9$"2WyB))Q)o]H!#:$"2&op!=.1e(H!#:$"21Vl]DV.+$!#:$"1Eslj2HCI!#9$"2YsJ%G*Rw/$!#:$"2L[C4z#QqI!#:$"1%R(*o17D4$!#9$"29*H`[6-9J!#:$"2Gi&H0T!\8$!#:$"2e%eZ$ob^:$!#:$"2C,QWIrZ<$!#:$"1RWfhqu$>$!#9$"1<H8;(z?@$!#9$"1'\F:pm(HK!#9$"1ya'o11oC$!#9$"1rk-pl>jK!#9$"0/_PcP*yK!#8$"1$*pkX!HSH$!#9$"1:d:F;Z3L!#9$"2v6fl_mAK$!#:$"1a'R]b:aL$!#9$"1\P'G5@zM$!#9$"2&oBtChyfL!#:$"1))>NCT,rL!#9$"1c#z#Q"4;Q$!#9$"2cg$4>dd"R$!#:$"1uG&z"*=4S$!#9$"1kuemUk4M!#9$"1W*)yexv<M!#9$"2v=\9$eEDM!#:$"1vf?X`<KM!#9$"1@4vkN\QM!#9$"1J]&)Q"GUW$!#9$"0om,3(Q\M!#8$"1Qg$[uyRX$!#9$"1Q!>?"=,eM!#9$"1**GJj_\hM!#9$"1cS<i$QWY$!#9$"14zOL1&oY$!#9$"1$Q)\U=uoM!#97S$"2&p*eA2R@p#!#:$"1,WXvJ_@F!#9$"2K%yo/4X]F!#:$"2%o+j?z!*yF!#:$"2c1jpT!)o!G!#:$"2:fGj8bV$G!#:$"2ad7^Q>8'G!#:$"2MDSq/hx)G!#:$"2;LgbfoO"H!#:$"1$>+]5J!RH!#9$"2t'yZg#QQ'H!#:$"1[+cm.3))H!#9$"2K<fYN[<,$!#:$"1ui;*yL[.$!#9$"1:)>B()Gt0$!#9$"1*R9yWE#zI!#9$"2uscJ+?05$!#:$"2#y&z2n.77$!#:$"2(e!GzAs79$!#:$"28`N`4@2;$!#:$"2A&)4ZLY&zJ!#:$"2&=O0XYu(>$!#:$"1x\%yN8`@$!#9$"1b%36V]AB$!#9$"21$ySUWb[K!#:$"1ubz!eCUE$!#9$"1)ybxjg#zK!#9$"1L(zr*Hm$H$!#9$"1%*\TCEV2L!#9$"1X7Va5d?L!#9$"1Rs9z.3LL!#9$"211lRBj\M$!#:$"2w1fNyAiN$!#:$"1Y!opqioO$!#9$"1<+/#=()oP$!#9$"16*z#p3I'Q$!#9$"1F4:&*)3^R$!#9$"1U2)[$oJ.M!#9$"2a*R#[pI4T$!#:$"1:DV%*o&zT$!#9$"1wX)yC-WU$!#9$"2&>VUXRFIM!#:$"1b=YM&zbV$!#9$"2;3%[+pKSM!#:$"2%ya#yCCXW$!#:$"1&>Z.3!=[M!#9$"1%zr?=.8X$!#9$"1B)>yf-RX$!#9$"1vI*Qh()fX$!#97S$"0\p%*RaSo#!#8$"2$QwQqW,8F!#:$"1mex&fH:u#!#9$"1"H!z>fepF!#9$"2;3EJ4qrz#!#:$"1b78)GpU#G!#9$"23lSG@r3&G!#:$"14l!R7kp(G!#9$"2-K0%Qo`-H!#:$"14S]W(yv#H!#9$"1\<(4")z?&H!#9$"1Oq_&fIg(H!#9$"1lI,_AU**H!#9$"2wj(ROlCAI!#:$"20I(f6e\WI!#:$"18%G60jh1$!#9$"2`P"fT=C(3$!#:$"2`/(*RQEx5$!#:$"2(ox%R\6w7$!#:$"1d")o+E*o9$!#9$"2C)Q/XdclJ!#:$"2DTpidFO=$!#:$"1Q$GyMv5?$!#9$"1aD87p!z@$!#9$"1t*oUr?TB$!#9$"1iZu%y:(\K!#9$"1yUGJ<pkK!#9$"2X%HrH([!zK!#:$"2N7lR^(y#H$!#:$"1i[Dl$4fI$!#9$"1k)\/5;%=L!#9$"2%f0pf+JIL!#:$"0J(H$4%fTL!#8$"2%>*4![:F_L!#:$"2:b/EDYBO$!#:$"1$*Q$H]A=P$!#9$"0.Pk/02Q$!#8$"20"f;m!***)Q$!#:$"1fbPk,r'R$!#9$"1_`sXV%QS$!#9$"1)fQ,+3/T$!#9$"1suO&)yS;M!#9$"1(35$46&=U$!#9$"1Hf77^uEM!#9$"1d`>[w4JM!#9$"2M/ozw;\V$!#:$"1$\W(*z5#QM!#9$"2EkL9L))4W$!#:$"1w&GB>eKW$!#97S$"2m0xyz/hn#!#:$"1(3an))\Yq#!#9$"2NG'*Q+hFt#!#:$"149(ovC/w#!#9$"2O2c\BGwy#!#:$"1PPYB!fV"G!#9$"2)>,2<_gSG!#:$"2;)R6KaNmG!#:$"19U&y"))f"*G!#9$"1Usmm]K;H!#9$"2FrrJUC0%H!#:$"1t.F#p(=kH!#9$"1'G-hC1t)H!#9$"1Z8!*H?()4I!#9$"1V,wmv(=.$!#9$"1#>,8'fJ`I!#9$"1c/E-4=uI!#9$"2'\4*RmmW4$!#:$"2..(*o5oT6$!#:$"2nr7on!GLJ!#:$"2'*3SLS+=:$!#:$"1yi;(*QspJ!#9$"2N9!QY$[q=$!#:$"2:37=^rP?$!#:$"1#eA9s"*)>K!#9$"1puwjySNK!#9$"1f&p0Q>.D$!#9$"2MiG%eiikK!#:$"1PIq>!H$yK!#9$"0N)f7(G9H$!#8$"1j$*\+p#RI$!#9$"1bOe]c#eJ$!#9$"1$yb<_FrK$!#9$"2WMU>bNyL$!#:$"2l,*yWK&zM$!#:$"1w9!eb%[dL!#9$"1*psz(QVmL!#9$"1'fRp-1[P$!#9$"2lE7dA1EQ$!#:$"0L>!*3S)*Q$!#8$"1nGJ2O^'R$!#9$"1FjZIJj-M!#9$"2&H'y7N0#3M!#:$"1_sh)GPKT$!#9$"1*f#fqit<M!#9$"1saX<*4<U$!#9$"2&H&oW7m^U$!#:$"2&G?sWI6GM!#:$"1"*H%>2f0V$!#97S$"13rBBdGoE!#9$"2t%38:YU'p#!#:$"2BBK$y+9CF!#:$"2M'3sk">9v#!#:$"2X_wXQ\#yF!#:$"2MEn,s=Y!G!#:$"19dSQc^IG!#9$"280`D5Hf&G!#:$"1'z_He[3)G!#9$"2')Hzn1k_!H!#:$"11&)ymg;HH!#9$"1^81Hca_H!#9$"1:HtRVRvH!#9$"1fJqIVq(*H!#9$"2i)yK%Go%>I!#:$"1^64P%z1/$!#9$"2d8jAeJ81$!#:$"2m.]:2>93$!#:$"1c^u:o$45$!#9$"2c#GR%G!))>J!#:$"1e#zW]X#QJ!#9$"1wo;e!Hg:$!#9$"2ss!fz!GK<$!#:$"2D/Q2DS)*=$!#:$"1sQV'zje?$!#9$"1iyXyuH@K!#9$"1()*=))eShB$!#9$"1rp@UHR]K!#9$"161sn[0kK!#9$"1u[p*>FrF$!#9$"21&*4!o7h*G$!#:$"1"ymv))3:I$!#9$"1yY<ZB#GJ$!#9$"1-x"yRaNK$!#9$"1*HZ.C3PL$!#9$"1*[RE^(GVL!#9$"2X`biF'H_L!#:$"1%RXE+R2O$!#9$"2YwL*e0ioL!#:$"1H'GL>YfP$!#9$"1&R#>?:s#Q$!#9$"1@c"[]_*)Q$!#9$"1\K$zWXYR$!#9$"29&H-qp!)*R$!#:$"2czCa*RW/M!#:$"1N5KOPc3M!#9$"1@ThwO<7M!#9$"2&R/ub:G:M!#:$"1ljX_`*yT$!#97S$"1C%y4$GfgE!#9$"1K=6bSL)o#!#9$"1"41_)>m:F!#9$"20fu#*4kDu#!#:$"1*[L=JG!pF!#9$"2.%Gz')H/&z#!#:$"21$4[\pf?G!#:$"2="Gy(\zc%G!#:$"17hP7/GqG!#9$"2'p*\g'**Q%*G!#:$"1h_4K*)*z"H!#9$"2B"ov"f)4TH!#:$"2A#4uS2ojH!#:$"14Qx%pPd)H!#9$"1W$4UHis+$!#9$"1Ymo2zCGI!#9$"2vvS[V)o[I!#:$"1&*=23$y&oI!#9$"2c<"Q$\7z3$!#:$"2G)HG!\'o1J!#:$"2kX13L'*[7$!#:$"2jh+wdQD9$!#:$"2B*)f6K5'fJ!#:$"2Es)=w"4h<$!#:$"2U(e7xK.#>$!#:$"1u4&GF"Q2K!#9$"2cX(f?B:AK!#:$"2Dy(4zgMOK!#:$"1x$))4qi*\K!#9$"1OI]CG+jK!#9$"1Q][kvYvK!#9$"1Q#\F]etG$!#9$"2DjEynx')H$!#:$"1bZ7uvU4L!#9$"2NDQ066'>L!#:$"1MXaG;BHL!#9$"1y,#)zGHQL!#9$"1"=9M,*zYL!#9$"2a_9DcaZN$!#:$"2u$[%3Vk@O$!#:$"1"*zsyQ.pL!#9$"13O&)3&o`P$!#9$"2CI'y^U<"Q$!#:$"1(H^7NdkQ$!#9$"0#QB\VA"R$!#8$"1O#G42#[&R$!#9$"1xBd4wB*R$!#9$"1G??6$)\-M!#9$"1Q(f$f<F0M!#97S$"2aJ6b'>-`E!#:$"18KF/QP!o#!#9$"2Fa9i4Atq#!#:$"2='p<GZ&Qt#!#:$"20c<H+g*fF!#:$"1MKM^mi&y#!#9$"1M"QR%Q%3"G!#9$"2xNm8?,c$G!#:$"2G4MU!))))fG!#:$"2=y(*>?(p$)G!#:$"1Rr+@u,2H!#9$"2;5u;(4%)HH!#:$"2e2hZ&)f@&H!#:$"2yA%yml'R(H!#:$"1o'HX5a_*H!#9$"2#*z#oof,;I!#:$"1UKdmhCOI!#9$"2w"*RS@Rf0$!#:$"1hJUO,4vI!#9$"2_k#poWp$4$!#:$"2B;AZD[<6$!#:$"2E7Cd/[#HJ!#:$"2'3(ey*3>YJ!#:$"2$zV.pVdiJ!#:$"1K#=\^'RyJ!#9$"1-l<%)el$>$!#9$"1Wp'H^^$3K!#9$"1[lq=H[AK!#9$"2uMRJ4]gB$!#:$"2%=/t%\`!\K!#:$"1pNTSS\hK!#9$"1n5s'4tLF$!#9$"2c4D.Z#p%G$!#:$"1A8-)RaaH$!#9$"1Xf=O:m0L!#9$"2/;Q(\pJ:L!#:$"2lsS15CWK$!#:$"1C<(f$o)HL$!#9$"1;5gv$45M$!#9$"2NB0&*H'\[L!#:$"1T_vMDXbL!#9$"1r,@UL)=O$!#9$"1_?&HI%znL!#9$"1t\\/8>tL!#9$"1kC!o_!3yL!#9$"1>l9G%oCQ$!#9$"1Q7%3thjQ$!#9$"1=O)oSn(*Q$!#9$"1UM`jEp#R$!#97S$"2Q70-:pbk#!#:$"1dq"ykRDn#!#9$"1w8/yf6*p#!#9$"20Zo+U'GDF!#:$"1")Rj\'R5v#!#9$"2L>M1vkjx#!#:$"2%[&*)fA^7!G!#:$"1*fRx+*oDG!#9$"2`kajYo'\G!#:$"2&z8D>/=tG!#:$"2i!>]Qh@'*G!#:$"28lFxNn(=H!#:$"2(o;<yi#3%H!#:$"2Z2XRd&QiH!#:$"1P_W'RQM)H!#9$"2))fXzPyR+$!#:$"2y))eVj**R-$!#:$"2#>w<nn\VI!#:$"2#fwfk[YiI!#:$"2AiK=]**33$!#:$"2KtG1u'z)4$!#:$"1W;*z7`h6$!#9$"2cXQTplH8$!#:$"1#*)*o\>B\J!#9$"2GI>@))\\;$!#:$"2vjw9&z6!=$!#:$"2&=rS&3NZ>$!#:$"2Xt&[t1!)3K!#:$"1))**)3c9BA$!#9$"1cYVTqFNK!#9$"2&)Q$**\))oZK!#:$"2%GJLa6bfK!#:$"1b#)QYb'3F$!#9$"2YH-I.M;G$!#:$"1ud;E!f=H$!#9$"2%4&zFLV:I$!#:$"1oK(R9!p5L!#9$"1`,,CII>L!#9$"1wu!))*eQFL!#9$"0L0T/V\L$!#8$"1dSJt!z>M$!#9$"1)4s]#*)\[L!#9$"29pX0&y]aL!#:$"1&y,0S6+O$!#9$"2'=a=7a,lL!#:$"1'eKg*f_pL!#9$"1[#\A_\NP$!#9$"1&z'G2E4xL!#9$"1VPC+@;!Q$!#97S$"1vt)zdI#QE!#9$"1*4Y)[v#[m#!#9$"2DO-CQR5p#!#:$"2%Gx\MZ&or#!#:$"0r!GREEUF!#8$"2e[Q-__sw#!#:$"1Gv_+U"=z#!#9$"1[ue7z$f"G!#9$"1FU-2VhRG!#9$"1A4vgW$G'G!#9$"2(fdP%))*e&)G!#:$"2B[H)GD(y!H!#:$"1&pD7zu'HH!#9$"0()\*>&*)4&H!#8$"1$fu*=+"=(H!#9$"1k/S^+8#*H!#9$"2$3SAUQ%>,$!#:$"2=tN.3Y7.$!#:$"1&H`(>>.]I!#9$"0e'4!)pHoI!#8$"2O78jMPg3$!#:$"2&ySmn&\K5$!#:$"2)\D)flI*>J!#:$"2Fr<K3yg8$!#:$"1*ez#y(*o^J!#9$"0&4?BTwmJ!#8$"1OSj[**H"=$!#9$"2()H,(GlH&>$!#:$"2/T?_d`(3K!#:$"1i^KJ7n@K!#9$"1"z/X1]SB$!#9$"1Ya3f5*eC$!#9$"2vAy"3c>dK!#:$"1V$>^]lzE$!#9$"20SGW$H?yK!#:$"1c<Ji/"zG$!#9$"1v#Qn-"4(H$!#9$"1:a6Fzu0L!#9$"1URf8[)QJ$!#9$"2&3*Hgn0:K$!#:$"1cFjK[hGL!#9$"0`G$=p@NL!#8$"2cKnG(oJTL!#:$"0(RqG*>pM$!#8$"1U4o)fJ?N$!#9$"2MGUNmdmN$!#:$"2'RqIfT!3O$!#:$"1\/`ktZkL!#9$"1e1[(y$onL!#97S$"2E(4_-E+JE!#:$"1DiAROBdE!#9$"18)zmB)3$o#!#9$"1:uT7ab3F!#9$"2Cp'4XXiLF!#:$"1V&y\Q&GeF!#9$"2d,aP1GDy#!#:$"13Aq.JM1G!#9$"2F@mhU@(HG!#:$"2B#eLfVl_G!#:$"1*[F`kL^(G!#9$"2ix`lW^r*G!#:$"2E?w8N+(=H!#:$"21DP!zLxRH!#:$"2Z$*oQ)ROgH!#:$"/rxegY!)H!#7$"2-Q-!QR2+I!#:$"2OLg"*R#=>I!#:$"2V.lXm'yPI!#:$"2x(>%=S#)e0$!#:$"2awPQslM2$!#:$"2AiNy=L04$!#:$"1Rs3%z"32J!#9$"2K+tO)*3J7$!#:$"28*RqNEhQJ!#:$"2D\!)Q1"f`J!#:$"2$RJU7I/oJ!#:$"2D"RR^w'>=$!#:$"1KbUrXO&>$!#9$"1'pyyxL#3K!#9$"1<yW%ov0A$!#9$"1mnB16RKK!#9$"2:)pK_7oVK!#:$"2aBhyrZWD$!#:$"1womvCpkK!#9$"1JKWnyTuK!#9$"1'>QXfEOG$!#9$"1C(R$3<K#H$!#9$"/#3.g10I$!#7$"2a0w;*\=3L!#:$"1h7%G#4O:L!#9$"0Y"[U(Q?K$!#8$"1-cT'4B#GL!#9$"1C+C;*=RL$!#9$"2vxlxSJ"RL!#:$"1GRGRg'QM$!#9$"0R&oH&G"[L!#8$"1/:YO[#>N$!#9$"1H8hV6EbL!#97S$"0%*=*H<)Qi#!#8$"21f'*4@a(\E!#:$"1&z2^je_n#!#9$"1xlAnVQ+F!#9$"2)y]C<67DF!#:$"2VXN*\*e%\F!#:$"2#z0I%H)QtF!#:$"1*z*H_***oz#!#9$"2<mPp5&)*>G!#:$"2#H\qH`jUG!#:$"1NHO(eU['G!#9$"2t#Q1[#*f')G!#:$"1b3!o3)*y!H!#9$"1%[%=!HK(GH!#9$"2irT0Y&4\H!#:$"2=`P$>;)*oH!#:$"21(*=*4_Q))H!#:$"2_(Re*4,t+$!#:$"2m[y4eCd-$!#:$"2t.FGP^O/$!#:$"2CF.+ix51$!#:$"14&[H*)**z2$!#9$"2soZk=:W4$!#:$"1nMx<4K5J!#9$"2Bc5U#\rDJ!#:$"0ft*fafSJ!#8$"2A&H`#>h\:$!#:$"2sWk$)>6)oJ!#:$"1=$R"e\9#=$!#9$"2E\s8Ni\>$!#:$"1>ya]OE2K!#9$"2C#)RZ^\!>K!#:$"1CDv#)4KIK!#9$"1_kzl%z5C$!#9$"1XesRnK^K!#9$"2EWeo$\1hK!#:$"1T5SPlHqK!#9$"2uI/0OC!zK!#:$"2kxq\b^sG$!#:$"2cPS'*e")\H$!#:$"1LzZV#=AI$!#9$"2vZ(Q&fl*3L!#:$"1`"yP,G_J$!#9$"12m!f955K$!#9$"2&G3-2pJEL!#:$"2u;I$pM:JL!#:$"0BE3DDbL$!#8$"10"zR!zVRL!#9$"1%4LVI(*GM$!#97S$"2;df4hkoh#!#:$"23=!H3dQUE!#:$"1h9ZIoanE!#9$"1(HCjnPBp#!#9$"2wP)Hu#[nr#!#:$"2/"R%>**o2u#!#:$"1b>"[a!RkF!#9$"2YfqZ+/wy#!#:$"1=bs23S5G!#9$"1E]tgFxKG!#9$"28'4^[?raG!#:$"1Q%)HR7@wG!#9$"1-)G,Hjs*G!#9$"2jlT9bhy"H!#:$"1hK2r(**z$H!#9$"2K05w4sw&H!#:$"2ac2J3to(H!#:$"2UFw^o(f&*H!#:$"2w]P%o7%Q,$!#:$"2v!QN0'*fJI!#:$"2tZRk()o)[I!#:$"2/]e)pcklI!#:$"2-:=/)p#>3$!#:$"1hz'z?5x4$!#9$"2C"\@bJ*H6$!#:$"1%zm\-ux7$!#9$"2'[p"oT^?9$!#:$"2w]%GBV#e:$!#:$"2QODa7#4pJ!#:$"2t/Izea==$!#:$"2=_DP&=6%>$!#:$"1_))4QW'e?$!#9$"1w8OAK6<K!#9$"1NG2Z%fyA$!#9$"1va%[q/"QK!#9$"2Wv[F$4&yC$!#:$"1HfL//5dK!#9$"0-98sbeE$!#8$"1B$z[!)>TF$!#9$"0uSn)e*=G$!#8$"1bO&)*\(=*G$!#9$"/r))o%)*fH$!#7$"17tW+HL-L!#9$"1D13t^>3L!#9$"1)))yq#**e8L!#9$"1E.6a?_=L!#9$"2v)))p'o'*HK$!#:$"1iZd(=>qK$!#9$"2Ym=*Q^fIL!#:7S$"2yenP.[*4E!#:$"2F`I(>Z7NE!#:$"2C%oGE#\*fE!#:$"2&o@9t:T%o#!#:$"2n"[>&4-&3F!#:$"1LYa^9@KF!#9$"1pt'RjIbv#!#9$"1#[U[(4XyF!#9$"2o"Q_aT'4!G!#:$"1nN93A1BG!#9$"10;%=`PZ%G!#9$"2(*R8%))G)f'G!#:$"1j5P79z')G!#9$"2')e8Whcr!H!#:$"2DX.`Qsq#H!#:$"1:$["**H`YH!#9$"1Ww3;J`lH!#9$"2.n&Q%ynS)H!#:$"1xI$>WK@+$!#9$"2.Ohr"Hs>I!#:$"2O*[PHa$o.$!#:$"2x*p])emM0$!#:$"2b[2VR8'pI!#:$"2aPq\Bt_3$!#:$"2VX6_)QW+J!#:$"2#Gm!Q]B^6$!#:$"2<$GgI1JHJ!#:$"2OW9I=/I9$!#:$"1n*=?X.i:$!#9$"1>nm(43*oJ!#9$"2=/?T9=6=$!#:$"2%*QQU(R$G>$!#:$"1bjsBj0/K!#9$"1CC'[F'y9K!#9$"1nn#)\_-DK!#9$"1*4ZO+vZB$!#9$"1u>y;w.WK!#9$"1t9O([:GD$!#9$"1db5B86hK!#9$"1/2%H8G*oK!#9$"2YrN$=#piF$!#:$"1HyPk"QJG$!#9$"2aQ51$)Q&*G$!#:$"1wLlT`Z&H$!#9$"0NGw2_4I$!#8$"2&*)*3WmtfI$!#:$"2%Q(=P'\a5L!#:$"1em4j5n9L!#9$"1;DvlsN=L!#97S$"2ZbHp"*GJg#!#:$"2)*ys7(z'zi#!#:$"2.wH%pBY_E!#:$"17_iRCgwE!#9$"2o#pj6)y.q#!#:$"1QuODCyBF!#9$"0M:*QX!ou#!#8$"12\8OnVpF!#9$"1LSnL4n"z#!#9$"2Ag"[(Q*\8G!#:$"2:ow()p9\$G!#:$"10JZ>)4f&G!#9$"2`Iaq0yk(G!#:$"2&3W*)yIh'*G!#:$"2Y*G-;*3j"H!#:$"0RJj'*fb$H!#8$"19AA(*4OaH!#9$"2.s*pZrqsH!#:$"1Hl!*HRf!*H!#9$"2F#z5Is,3I!#:$"2%)*)G"4L(\-$!#:$"2:[\A!)e9/$!#:$"2/*[c=2ZdI!#:$"2MS=)Rk+tI!#:$"1ucr=P1)3$!#9$"1f-tw1k-J!#9$"2#[6T,et;J!#:$"1iR?VzMIJ!#9$"1F$)z6jZVJ!#9$"2a)[,s/7cJ!#:$"2.1Y#R.GoJ!#:$"22_lW<c*zJ!#:$"1e>#)y&[6>$!#9$"1EM$y[e=?$!#9$"1)3*>lr37K!#9$"1#yXi>O=A$!#9$"1Rs-"[26B$!#9$"0J%4FK!*RK!#8$"1N[&>%fA[K!#9$"2:DU_UygD$!#:$"2m871wjME$!#:$"2aD'Q2`QqK!#:$"2W!Q'>pYoF$!#:$"2'e&>!*z^GG$!#:$"1&*)3Dw/%)G$!#9$"0V*\c*4NH$!#8$"1A#\e)><)H$!#9$"1%=^nn&R-L!#9$"2'pL;ng=1L!#:7S$"2`A9II/kf#!#:$"1u'f%>B"4i#!#9$"1\Z=VH3XE!#9$"1&)H8*z1*oE!#9$"2`]04![P#p#!#:$"2ep>*e"yar#!#:$"1A!*4)Q3#QF!#9$"2d[$3:tbgF!#:$"1`7&\3<Dy#!#9$"2'\JWn,3/G!#:$"2_!Goi$R_#G!#:$"1;jQ1y)f%G!#9$"2kbcX(*=j'G!#:$"2u<ewoEi)G!#:$"2btqU60d!H!#:$"2BG=Ux[Z#H!#:$"14]<TDNVH!#9$"14wuW;^hH!#9$"227O?n@#zH!#:$"2B3w'o&yk*H!#:$"21#fOR'yK,$!#:$"2a\%)ya='HI!#:$"2&=[g;`\XI!#:$"2Z"3^Dj!41$!#:$"1N^s5$\e2$!#9$"22zcDOA.4$!#:$"1)QyI#RK/J!#9$"1GNC$y_y6$!#9$"2n"ebz!348$!#:$"2'f;I!H*[VJ!#:$"2Czf8B'fbJ!#:$"1"=,;0Hs;$!#9$"1NN*yA)QyJ!#9$"11asfX2*=$!#9$"1h_Yj"*G*>$!#9$"1.:FmM.4K!#9$"0#*p'*>4$=K!#8$"1e`"GR=rA$!#9$"2c)[XlLYNK!#:$"2:&*41sYLC$!#:$"1%R&*pLr2D$!#9$"1@L>h.udK!#9$"2N.+'*>dUE$!#:$"1UW;5bKqK!#9$"1vi$R>\fF$!#9$"1#fUkQK6G$!#9$"1y5"*[%zeG$!#9$"2MUe$f\>!H$!#:$"2&Q@c.P3%H$!#:7S$"2BpqCNr(*e#!#:$"1f]1XZ&Rh#!#9$"2K,(ogx!yj#!#:$"2#zXt48KhE!#:$"1AP1zl[%o#!#9$"22gc(R]H2F!#:$"27F]WXQ(HF!#:$"2v)e@%))3=v#!#:$"2%G'z\p)\tF!#:$"0WxMc+[z#!#8$"2u"ot#[2d"G!#:$"2<")zqw7i$G!#:$"2m_Um05j&G!#:$"1(Q29K$*f(G!#9$"18bukoD&*G!#9$"1<wYE`49H!#9$"22t#Q&o.D$H!#:$"2uJl8Ex/&H!#:$"2w4Kpr6!oH!#:$"2w5J$eI5&)H!#:$"2WNYhjZ<+$!#:$"16DUX@%z,$!#9$"2E"\JDOoLI!#:$"2m7r#e%p*[I!#:$"1e7votzjI!#9$"23*[\@a;yI!#:$"2:gV$>?2#4$!#:$"0fG1!f^0J!#8$"1CQ8Oh\=J!#9$"0(ekD@,JJ!#8$"1`@5%fjI9$!#9$"289]te]Y:$!#:$"21`IvYtd;$!#:$"2$*4)43HVwJ!#:$"1oV\)))Hm=$!#9$"1)y'[)olj>$!#9$"1M&*=#)=k0K!#9$"0Y"yJ.Y9K!#8$"2c0P4=BGA$!#:$"1Am)z%GtIK!#9$"1:@#)=?>QK!#9$"1b`cRO?XK!#9$"1Oa,44x^K!#9$"1tB*3F(*yD$!#9$"1mS*eS'ejK!#9$"1CPeBA%)oK!#9$"0"\7a)oOF$!#8$"1Y8))R12yK!#9$"1$[)*o7_?G$!#9-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""$6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q'&#963;6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"r6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q7Rho~of~the~Call~Option6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%+LIGHTMODELG6#Q(LIGHT_36"-%+PROJECTIONG6,$")KX7B!")$!("y**f!"($"(z'ew!"($")Dvo=!")$"'P**z!"'$"([Cq&!"($!)'zxa*!")$")#Rb7"!"*$"(W5(H!"($"#5!""-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$S%!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%!o$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%+P!""-%)CHILDRENG6"NiI= S;

SSJTRzYi

: Explore:-Runtime:-Update( plot3d(_Rho(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Rho of the Call Option"), ':-Plot4', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider12', ':-Slider13', ':-Slider14'], ':-labels'=[':-Label12', ':-Label13', ':-Label14']); K;

SSJLRzYi

: Explore:-Runtime:-Update( plot3d(_Rho(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Rho of the Call Option"), ':-Plot4', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider12', ':-Slider13', ':-Slider14'], ':-labels'=[':-Label12', ':-Label13', ':-Label14']); T;

SSJURzYi

: Explore:-Runtime:-Update( plot3d(_Rho(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Rho of the Call Option"), ':-Plot4', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider12', ':-Slider13', ':-Slider14'], ':-labels'=[':-Label12', ':-Label13', ':-Label14']); LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= Step 6. The Vega (Nu) of the Option The Vega of an option or a portfolio of options is the sensitivity of the option or portfolio to changes in the volatility of the underlying asset. 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 -%'PLOT3DG6--%%GRIDG6%;$""&!"#$"""!"";$"""!"#$""&!"#7S7S$"1)pS*y*G,'y!#:$"1"*QOd%p(3x!#:$"0")=kWJ)\v!#9$"2&>:)y$y!RQ(!#;$"1`>,twg6s!#:$"1&f=]W_N.(!#:$"1Tk')*Rs.&o!#:$"1bo)e'Gqim!#:$"1>6kT1=rk!#:$"1/W=q/Wwi!#:$"1Z')HE;6zg!#:$"12fVTY")ze!#:$"1322*=e"zc!#:$"16"G4:OxZ&!#:$"1y:<#)[7w_!#:$"2NdI6p!)[2&!#;$"1O7cYv`u[!#:$"1CdzA]gvY!#:$"1*\#[!\m&yW!#:$"2uv%)zbxQG%!#;$"1#)p"fwk>4%!#:$"2(G4zMXA.R!#;$"1J4MjB-=P!#:$"2FpDGF#pON!#;$"2CM&[!\O&fL!#;$"2$4YQj`#o=$!#;$"2XO8@\(z=I!#;$"1ZUDs+mbG!#:$"2o4w,V*e(p#!#;$"2tTu&Q<tWD!#;$"1**)fi*Q?(R#!#:$"0f$*fb%4bA!#9$"0PxOGl%=@!#9$"21IE>$=N()>!#;$"17p'4^l<'=!#:$"2oO5*RYpT<!#;$"2eIJ<11ri"!#;$"2:lDdqYz^"!#;$"-"==XTT"!#6$"2LhW<R8cJ"!#;$"1))H>V"[AA"!#:$"1D#eMvKR8"!#:$"2y+T2jQ00"!#;$"1"Q!G=#o#>(*!#;$"1TwFi^\z*)!#;$"1AT/z\^%G)!#;$"1R!p!p`rKw!#;$"1..JVrVAq!#;$"0Z'y^n)>X'!#:7S$"1f4Gm)G9*y!#:$"1A&)Gso*[u(!#:$"1Fl^X>'4f(!#:$"0n#*z>x,V(!#9$"11bpv96js!#:$"1K62GgM!4(!#:$"1&[u&o6Z7p!#:$"1z>!G&H3In!#:$"1Um++*zPa'!#:$"11wv#yfTN'!#:$"1*[U#3l"=;'!#:$"1X\B8rLnf!#:$"2m2#3$*))Hrd!#;$"1JVB$omUd&!#:$"1()*p)4.zw`!#:$"1:O3CASz^!#:$"1CI%>L:E)\!#:$"1r!*\I5#py%!#:$"2&fceduy#f%!#;$"1$>,5'zl+W!#:$"2&=HW!z\4@%!#;$"1T$)R8I0CS!#:$"2$od5a'H.%Q!#;$"1c(*p_I6gO!#:$"22)*y(Ruq$[$!#;$"2;k&))>xQ6L!#;$"27>)yb%*RVJ!#;$"04<S/f*zH!#9$"2BcL32a7#G!#;$"1nNrOQWnE!#:$"2kg7l.g'=D!#;$"1#HS<e2]P#!#:$"1yl"3bllB#!#:$"1K8!GD)Q.@!#:$"1,)z)*Q1b(>!#:$"2*=>%QIGH&=!#;$"2/]->HTct"!#;$"1j`YxHhB;!#:$"2s>@=s#z;:!#;$"2Z&zFjI6:9!#;$"2=9P3<"\=8!#;$"2jtP-IIoA"!#;$"2bew4C@+9"!#;$"2k!\wVP%z0"!#;$"1Pj#y=zY!)*!#;$"1=yHgfbu!*!#;$"1B$\.S;wQ)!#;$"1VQ_@@NUx!#;$"1F[[Y(4s8(!#;7S$"1vh'plT4#z!#:$"2N^9'e>**yx!#;$"1WRU*p8)Hw!#:$"12%\X\BRZ(!#:$"1WA()HK&=J(!#:$"0))et0ZT9(!#9$"1_l2w$e8(p!#:$"1>&y?#o/%z'!#:$"20ev(*GvFh'!#;$"0))*f1q5Gk!#9$"1hav"o-1C'!#:$"1OXl[x"30'!#:$"1)3x#>(*Hfe!#:$"1[V=ncemc!#:$"1m[Ga)*>ta!#:$"20r<Z^^'z_!#;$"204/u!GV'3&!#;$"1uw%p%p,%*[!#:$"1%zg1_cGq%!#:$"1f#zv*>Q8X!#:$"1,XUL/+EV!#:$"1a7gtV4TT!#:$"28C+X&4-fR!#;$"2usD;?6,y$!#;$"1_"39_pYg$!#:$"1Z=+#QtHV$!#:$"1#3Ep<t_E$!#:$"2:)*)3kAz,J!#;$"1AYbrrsUH!#:$"1TIPgzC)y#!#:$"1EC!Rt)\QE!#:$"2PP5BG)f$\#!#;$"1D/N]3k`B!#:$"28Bog,(p=A!#;$"2jr'znY"))3#!#;$"2$3kkm+-k>!#;$"1A!z;)*=V%=!#:$"2jbj])ypH<!#;$"2[lVZ>D,i"!#;$"2uA&[_Db::!#;$"22#HhDh"fT"!#;$"2[Kr7#z8@8!#;$"1@Bl-r7J7!#:$"0_+tH"yX6!#9$"2NeJ$))y)\1"!#;$"1`(e;!GD'))*!#;$"1[dv68kl"*!#;$"1^Tgkao'[)!#;$"1DY$zCsz%y!#;7S$"14[!R_%z[z!#:$"1j(\_E(>6y!#:$"1uapaRamw!#:$"1m-["o<`^(!#:$"1"H$45j,et!#:$"1mFLl(\^>(!#:$"1$pw"*HPs-(!#:$"0W$yfZ![&o!#9$"1PV[#)=Qym!#:$"1ZB*>i*\)\'!#:$"1`1CWvo:j!#:$"2mE'H&Hr/8'!#;$"0p!oj,PVf!#9$"1a#)=^Z*[v&!#:$"0uRfwWbc&!#9$"1-L'*\p!eP&!#:$"2&4L2_J:'=&!#;$"1B7Cb&Qq*\!#:$"1t&Qg1+*3[!#:$"1V-5s[:AY!#:$"1%)R#><*>PW!#:$"1#Q3(zqSaU!#:$"2:r^jqHT2%!#;$"1/_?;Wp'*Q!#:$"2a"3rdUSAP!#;$"2$>nmkv`^N!#;$"2x&*pNsZVQ$!#;$"2K$yG,J1@K!#;$"1PZAEr)=1$!#:$"1%Hy^^)*p!H!#:$"2ocGsj^lv#!#;$"1<iF0qn5E!#:$"1CgC&)=[pC!#:$"2t"\\750LB!#;$"2d*\h/uW,A!#;$"2x!GffKru?!#;$"2_pu"G4(G&>!#;$"1"e"H\R#f$=!#:$"2Q)H]P"eQs"!#;$"2)3'G;rUmh"!#;$"2yxLSXJU^"!#;$"2al:/*Qc;9!#;$"2#R@R![mNK"!#;$"2YC8(4Q:N7!#;$"1$*z[v(H7:"!#:$"1\tVc()or5!#:$"1aAP3w;k**!#;$"1(pY\XDHD*!#;$"/X'z*p)=e)!#97S$"1)zE&pO5vz!#:$"1/Ka&GV;%y!#:$"1m!z`&pH,x!#:$"1D@/Mp^av!#:$"1/nCO(p<S(!#:$"1-EVzO`Vs!#:$"1/z$fS'H!3(!#:$"1%yS@S_D"p!#:$"1x*Q?`+3u'!#:$"1%3NAgTbc'!#:$"1oikufF(Q'!#:$"1UAZU7]1i!#:$"0%G/%)*4P-'!#9$"1;U93wQRe!#:$"2D&zH..,ac!#;$"2;ohA5V!oa!#;$"1y9ur!Q>G&!#:$"1bo(fjKh4&!#:$"1*3*[T![5"\!#:$"1oB*)oz3FZ!#:$"2DjniHPYa%!#;$"16s?<51kV!#:$"2&="o_J.d=%!#;$"10kB&z'))4S!#:$"2WR=.(="p$Q!#;$"2u$e9.j0nO!#;$"22JCt*[d+N!#;$"2XEu^L*pPL!#;$"2c*>Kc"Q'yJ!#;$"1Ky*3(odBI!#:$"2OJ)H+#yE(G!#;$"1G.xPC3EF!#:$"2m8"[?z!Re#!#;$"1;,D/;DYC!#:$"2W;N<t*=8B!#;$"2'*=*e%eyZ=#!#;$"2<$[#*4`0h?!#;$"2FsZ8")Q?%>!#;$"2jYM[pIx#=!#;$"2">\$)fi6=<!#;$"23Slh_lJh"!#;$"2`Z@vGMG^"!#;$"2#R*pF=lqT"!#;$"2V&>dw()yD8!#;$"1%zM8kC*Q7!#:$"2tu!)HV#Qc6!#;$"2"*p]N&H1y5!#;$"1;'=U>fQ+"!#:$"1iwtGNdO$*!#;7S$"1ZD!yTv***z!#:$"0(4iE'\/(y!#9$"1n\Tm^?Mx!#:$"2X3:%**em"f(!#;$"1\?^@%pKW(!#:$"1"*pKN[Y*G(!#:$"1&*yp+0rIr!#:$"1-(H#y<Znp!#:$"1/hH"y=-!o!#:$"1)y([^TUHm!#:$"0p#)>(3cbk!#9$"1elnK,5zi!#:$"1lX;g#405'!#:$"1A+#[s\-#f!#:$"1"G#GO_xQd!#:$"1#\cw$*Hlb&!#:$"07bwqYRP&!#9$"1(e'yybW">&!#:$"1nR`yAV4]!#:$"1$pz#**oHG[!#:$"1n4`,FT[Y!#:$"1<9!Q0N,Z%!#:$"1DfJ60!QH%!#:$"1v4aMgs>T!#:$"1aJTZ$3#[R!#:$"1:>0MM_zP!#:$"1%z6<<ERh$!#:$"203en4];X$!#;$"1*y[&*H2HH$!#:$"2X]!GV%))y8$!#;$"1W'36!Hw')H!#:$"2ED">0!z'RG!#;$"2L*3t+Ww'p#!#;$"2Ns,w\E"eD!#;$"2v\_<,`QU#!#;$"11vE)e7SH#!#:$"1,ku(\b'o@!#:$"2:tGvR9y/#!#;$"1KZB\^]J>!#:$"2*f*>ToF(>=!#;$"2U+Ry!pY7<!#;$"2tv"QOOp4;!#;$"22pw^bl8^"!#;$"1TKk$>GuT"!#:$"1ub"y!f"yK"!#:$"2`XVS'GXU7!#;$"20*))><SDh6!#;$"2syqs2ET3"!#;$"2'Q'4(e%o4,"!#;7S$"1k-s%=2N-)!#:$"1Hy+`gs(*y!#:$"1l7,r.Rlx!#:$"0;H_#y*oi(!#9$"13wt1$fE[(!#:$"1\lt*)o4Lt!#:$"1C\['yT'yr!#:$"2l-$R#HK(>q!#;$"1\t%[t6o&o!#:$"1yk.RkK!p'!#:$"1"RJOsB2_'!#:$"1n_lQ*\%[j!#:$"1NiEd&[R<'!#:$"16mZK$ew*f!#:$"2bob!H:,?e!#;$"1$==+CK9k&!#:$"1^s>'zMBY&!#:$"1r.XwA7$G&!#:$"12(e]7&=/^!#:$"1Xk'=))**e#\!#:$"0xw'H!G'[Z!#9$"2&ziQi\rsX!#;$"1<+Jw!*[)R%!#:$"0jLh)4EEU!#9$"1#zQf'GKcS!#:$"2Df*y9z%*))Q!#;$"1")3XX**QCP!#:$"2VoRR4$)Gc$!#;$"1VtzY;k/M!#:$"29G:A)*f)\K!#;$"14*e/i7()4$!#:$"1=JTyVN^H!#:$"1%4EDi?z!G!#:$"1Y>&RhF&oE!#:$"11bHRHFLD!#:$"2_BP+-OAS#!#;$"1e#oMpyaF#!#:$"2()***yde/`@!#;$"1&HHR<m\.#!#:$"237&e;GD@>!#;$"2dSaqE/>"=!#;$"2Jew/90pq"!#;$"2t<)GSqA1;!#;$"1c6)GVH)4:!#:$"2'o4rN0m<9!#;$"2&p[R7#e'H8!#;$"2()[s'o3vX7!#;$"2n&eYV$ee;"!#;$"1*>m'*y#*)*3"!#:7S$"10u&>M)yX!)!#:$"1Vl0>MdBz!#:$"1kikbY'\z(!#:$"2v)>5ybLgw!#;$"1#pP5Rs+_(!#:$"1"ed'R@dut!#:$"1O[,[3CCs!#:$"1OIJX;\pq!#:$"1m^C#*Gu5p!#:$"1yp7>jT[n!#:$"/)[s=NHe'!#8$"1t3X%[AZT'!#:$"1iGUl"*>Wi!#:$"1e5lYCyrg!#:$"1#H)GlT)y*e!#:$"1#390@4Hs&!#:$"1i7>NSDZb!#:$"1K5#[D08P&!#:$"2N`d*R$Qa>&!#;$"0MxtS;+-&!#9$"1yWT9"*QX[!#:$"0Wz*f;*=n%!#9$"10y)[*Q%)*\%!#:$"1**)RKa\&HV!#:$"1)HCd`&HhT!#:$"1%Gu[X^`*R!#:$"2lr#\"4p>$Q!#;$"2Ka%o5@QrO!#;$"1XH?De!Q^$!#:$"0dIJ2P%fL!#9$"21(\G'>a%3K!#;$"2Nvg^6<51$!#;$"2i"eq&\ns"H!#;$"1uBx-!Htx#!#:$"2_d#pMwITE!#;$"1:+5L@H4D!#:$"1`R&=Ya8Q#!#:$"1oBs[.bdA!#:$"1e5M$))>z8#!#:$"2FL()[;)[A?!#;$"2vu')G*fE6>!#;$"29b0Yf]U!=!#;$"2tjoDQE9q"!#;$"2G!z(etlFg"!#;$"0c&=*zH#3:!#9$"2'QpR$HpxT"!#;$"2s$QVK`KJ8!#;$"2[3x1CI)[7!#;$"1Q@-m$3-<"!#:7S$"1HWe')4!p1)!#:$"1$*y'H]%3[z!#:$"16B)[HJI#y!#:$"1bY>jD4#p(!#:$"1b=%ymJcb(!#:$"1c8&[XAST(!#:$"1'o,#fvkns!#:$"0DQUp'*o6(!#9$"1-$f#Q\;ip!#:$"0..(G5&Q!o!#9$"2Nb,TnbBk'!#;$"1vri$*)z!yk!#:$"1"HUORB9J'!#:$"1>e=!*HyUh!#:$"1szy&3^D(f!#:$"1%*>T3U6,e!#:$"1/(y'>;&)Gc!#:$"1@%[))*R8ca!#:$"2&3)=$3AK$G&!#;$"1cplXhw5^!#:$"1:OU'o.)Q\!#:$"1h#y7sfxw%!#:$"1J$z+HXzf%!#:$"0TB\"olHW!#9$"12yILa<jU!#:$"1@p&=Vm()4%!#:$"2ZKL.yym$R!#;$"2O,i\wWrx$!#;$"1v*Q%>(z.i$!#:$"2&3aP^=emM!#;$"2YP^8;KfJ$!#;$"2.JA7X%foJ!#;$"1p*QyT:Z-$!#:$"2no4z#[U%)G!#;$"2c^c$pd$yu#!#;$"1*=">u\/:E!#:$"2lfmw?Lh[#!#;$"2PQW#=d;hB!#;$"1.evUF>SA!#:$"0%R-h+DB@!#9$"1`j:%ff.,#!#:$"2-B22/I:!>!#;$"2B6X\adnz"!#;$"2\"Ga"REgp"!#;$"2b,F6s4$*f"!#;$"2Xo%Gh-d1:!#;$"1nf"y1hxT"!#:$"2MYY7FEGL"!#;$"1AF'Q#=q^7!#:7S$"1yG*zi?p3)!#:$"1X'[OvW8(z!#:$"1Ui%oa&o\y!#:$"1;bwaNFAx!#:$"2&*[+](4X*e(!#;$"2&\_KI,d^u!#;$"0.X&>>**3t!#9$"1k(4RD%3ir!#:$"1A")\)[?7,(!#:$"1Z'Ry&yxco!#:$"1R8$[#f8*p'!#:$"18&G<0v'Ql!#:$"2DF];!\xvj!#;$"1%GU'yH"3@'!#:$"1L%))Q@jT/'!#:$"1#zj^g%>we!#:$"1X$zg"*psq&!#:$"2D0!4TWuPb!#;$"1i$G;%['zO&!#:$"1O14e!o#)>&!#:$"1U<v,.)*G]!#:$"1=v,IhTg[!#:$"1tVv2w(Gp%!#:$"1JPwcNlEX!#:$"1vV![*)=?O%!#:$"1Z:"\1M#*>%!#:$"1)3D^bW&QS!#:$"2./B"30=!)Q!#;$"2d`o'>kNCP!#;$"2i*)=U#4FrN!#;$"1^8_lm5@M!#:$"2V6K&\-.uK!#;$"1c'\lF#>IJ!#:$"16k/\us*)H!#:$"2O!QK^Zv_G!#;$"2$z)*z'px$>F!#;$"2vao%QYo*e#!#;$"2%yy%y8\PY#!#;$"1[rb(QI;M#!#:$"1Z<`#otLA#!#:$"1Q")zM4,4@!#:$"1;")oE7c)*>!#:$"1e#ptRJ?*=!#:$"1MhgdmT*y"!#:$"2XNTxA,2p"!#;$"2sU%*R**eef"!#;$"1jqJyT&[]"!#:$"2AJ8s,UwT"!#;$"2o1G^WpTL"!#;7S$"1CK"=!o"f5)!#:$"1ZLIgHV$*z!#:$"1YG.p`,vy!#:$"0=QnWv4v(!#9$"2&H8!pwN;i(!#;$"1))GFl'Gt[(!#:$"0vcR#[R[t!#9$"1aHXS==0s!#:$"13-,!zU!eq!#:$"1$*G`*yMt!p!#:$"1T-7rvT`n!#:$"06"4t?l'f'!#9$"1a#og0*RPk!#:$"0fm8v<gF'!#9$"1;Bb[X'G6'!#:$"1Z.iG<H[f!#:$"1z(y([ik#y&!#:$"1"zPVeoih&!#:$"1R-oK;\\a!#:$"10wu$oREG&!#:$"17N"4YFg6&!#:$"1bEaN#f*\\!#:$"1#z]z,GZy%!#:$"1Ls*o#[h?Y!#:$"1B'e"R!))yX%!#:$"1k'e,#G!oH%!#:$"1H_1O1gPT!#:$"1A&>s%)30)R!#:$"2P*fB#QSd#Q!#;$"2Nj3;\$\tO!#;$"1$)\=z:&R_$!#:$"2n.B%4JGxL!#;$"2&)\NzeTOB$!#;$"21gZChlJ4$!#;$"2yza4**yf&H!#;$"2ofkN#4>AG!#;$"2'[ECWi*=p#!#;$"1"Hg%=d<lD!#:$"2N3cDR'4UC!#;$"2YBz/*>rAB!#;$"2ZNxMNjq?#!#;$"1V@A=*y^4#!#:$"2;MO)G_2()>!#;$"1u%)Gyuv#)=!#:$"2'G$fY2?Ay"!#;$"2O#G&yAZao"!#;$"2D*>U_NT#f"!#;$"2$H_I#o%3.:!#;$"2T]<M*yT<9!#;7S$"1y7N>O&R7)!#:$"1A%oM&=U9!)!#:$"1WR,j?5**y!#:$"1)*\SJzGyx!#:$"16R!f"QG_w!#:$"20n/YZ.9_(!#;$"1mbiq(ofQ(!#:$"1b*e4O3jC(!#:$"1&\.uPcF5(!#:$"1JO#p5^c&p!#:$"1z+lyOL0o!#:$"2:Y_XwY@l'!#;$"1Wje+LV'\'!#:$"13G%[BN&Qj!#:$"2vq7*3Bzyh!#;$"0(\Ky3a<g!#9$"1'\Hvx7^&e!#:$"1QyZMU$=p&!#:$"1i/TR[-Gb!#:$"2v!H*>d'*RO&!#;$"1(Hg/*G0+_!#:$"1mF$f)y[O]!#:$"1x#fX]&et[!#:$"1o!Q'R)=;r%!#:$"1ZDN&\\3b%!#:$"1wgDBq_"R%!#:$"2X`U@V))QB%!#;$"1rQXrx:yS!#:$"22W1zyXX#R!#;$"2P0nXl\Kx$!#;$"2;G!=rFXCO!#;$"1kN9MYKyM!#:$"2MQ\Tx?]L$!#;$"1hN;fFo%>$!#:$"1u24g#Qu0$!#:$"2Xm">w6SBH!#;$"2imhq"=n#z#!#;$"2Llhx8P`m#!#;$"2v`/N-r9a#!#;$"2v;\,iM6U#!#;$"1QYj1nP/B!#:$"1[GS0TB">#!#:$"21T.o7K<3#!#;$"2xAaM/&)e(>!#;$"2#pz`!f'pt=!#;$"2a'=0)[g^x"!#;$"288"4")4E!o"!#;$"2$*[MVRt*)e"!#;$"26l5qpk7]"!#;7S$"1t%***f-4T")!#:$"09b^kyV.)!#9$"2DKwc&3-Az!#;$"1/oc8TH/y!#:$"20;s(\e["o(!#;$"1:>#)QD*Qb(!#:$"1"GS9^==U(!#:$"1*f[<vubG(!#:$"0#4n&oxa9(!#9$"20A&4nz%=+(!#;$"1R)R#o#4]&o!#:$"1Yq_!3(G0n!#:$"0`x?`2Ib'!#9$"0%=rFi\)R'!#9$"1*=!3<r2Ui!#:$"2:WWiRrS3'!#;$"1*42xW'zCf!#:$"0DEN#[ckd!#9$"18dxvKo.c!#:$"1^&4#Q=XUa!#:$"2v9tD'H;"G&!#;$"1%>uDr+,7&!#:$"19w3=+af\!#:$"1&)[s"*fu*z%!#:$"1#R_%4L(4k%!#:$"1#**)\ccY$[%!#:$"1Q`NR_XFV!#:$"1LdBkB;tT!#:$"1Wi&>3&z?S!#:$"22"yx)*)[0(Q!#;$"1%\wBb1Es$!#:$"2mpN<&y8xN!#;$"1Y-Tz&*HMM!#:$"1J'*GaaB%H$!#:$"13?p_h2dJ!#:$"2k!3N&QRH-$!#;$"2LJ8w-I>*G!#;$"1(pd**HSTw#!#:$"2$4-v&**\'RE!#;$"1@*3IvE&=D!#:$"1\Z"oOE3S#!#:$"2at7*QJf'G#!#;$"1@%y4Ege<#!#:$"2BX#)zA]'o?!#;$"2tNs!y_(\'>!#;$"2_F,a&y$['=!#;$"2_poB4J#o<!#;$"1(3'z2$R^n"!#:$"2BwRw^Qbe"!#;7S$"12"\JT"Qd")!#:$"1US&[^lL0)!#:$"1tvvB9%Q%z!#:$"1J.mm52Hy!#:$"1J*)=JhK4x!#:$"1^/f(*p)[e(!#:$"1*>P$\;/cu!#:$"2:dQ%oX3Bt!#;$"1haN@cJ'=(!#:$"1$>r8%*Qg/(!#:$"1**=>8=c-p!#:$"1e7VlN>cn!#:$"0yykZWsg'!#9$"1eB1*pCgX'!#:$"1aOf3K%GI'!#:$"1VP8!y1![h!#:$"2NZP&)**==*f!#;$"20!=.1$zX$e!#;$"12!e64#ewc!#:$"1*RkE#e6=b!#:$"16hdJAYf`!#:$"1htHWb*3?&!#:$"1k+Ap<oU]!#:$"1Uc#*Q!y])[!#:$"1Bln4?LGZ!#:$"1ZN]>8osX!#:$"1<(3e5`$=W!#:$"1r3-$ejbE%!#:$"1&fp/o<X6%!#:$"145GS(3a'R!#:$"29'4vu#=%=Q!#;$"1k)=By:Pn$!#:$"1m3&4ie9`$!#:$"2%*yXu$>z"R$!#;$"1FE!4l[[D$!#:$"2PLP$)[\27$!#;$"2v"o?qIg*)H!#;$"1(Q%RVg]hG!#:$"29`I!fKaOF!#;$"28coB*zy9E!#;$"2Q"[!=?-j\#!#;$"2EdGS#o8"Q#!#;$"2$))y?-@LpA!#;$"2ZEhS%z"4;#!#;$"2LGMmI9f0#!#;$"1n6f/;La>!#:$"2=2W)Q6<c=!#;$"2')zwBaD9w"!#;$"2&pG<S#z+n"!#;7S$"1yAKvw(G<)!#:$"0)HNZ+Wr!)!#9$"20B!pn$GY'z!#;$"/ouO.p_y!#8$"1Uu([)H)et(!#:$"1h$p>prWh(!#:$"1QPt'=H()[(!#:$"2vuc4`M*et!#;$"1o^(R4s`A(!#:$"1&=8E_I$)3(!#:$"1$fa<r,"[p!#:$"12&H1yz\!o!#:$"1;qwf+Efm!#:$"2&Q$3M4Q7^'!#;$"1$))))>m37O'!#:$"14`3H[Y4i!#:$"1rq)p,(Hcg!#:$"1LGz9@*>!f!#:$"1)>aEiKou&!#:$"1TC\Ne4"f&!#:$"1.]?pI0Na!#:$"1U_0K*o*y_!#:$"1X"3Ok+J7&!#:$"1#zOKS(pn\!#:$"1C@))4)**H"[!#:$"1jjSM$R#fY!#:$"11!Qb%yj1X!#:$"1@"p+>2aN%!#:$"1xMjF)[d?%!#:$"1&fr+_`y0%!#:$"1c^2v5!>"R!#:$"2c(R]V,1oP!#;$"2kZ#[p!)[EO!#;$"2nH7@zIt[$!#;$"1jcQ(zA2N$!#:$"1(Q\'=ry;K!#:$"2b%\v$QNc3$!#;$"2&Gh$o!zOdH!#;$"2'*4#[AQ2KG!#;$"1RB#*f7$)4F!#:$"1Q*4Zb22f#!#:$"2c="G&\fZZ#!#;$"2X1$o,O.iB!#;$"2.>&pLkc_A!#;$"1uy_D\QY@!#:$"1tXDWn]V?!#:$"2QCK"p1%R%>!#;$"2cGx*))poZ=!#;$"2;:(z9zta<!#;7S$"0eSv!fi(=)!#9$"1b'=wib')3)!#:$"1i;4S;W%)z!#:$"1h@i*R=_(y!#:$"19^Lx#H7w(!#:$"1Zv&)fcsUw!#:$"1Rh(*Gg'*>v!#:$"2u$)3m-:KR(!#;$"1:(*z4Duis!#:$"1(eF/gA)Gr!#:$"1t=FMFt"*p!#:$"1$\-Sr_<&o!#:$"1">c0xj"4n!#:$"1%3JsjZUc'!#:$"1>]nScG<k!#:$"1%3kF"yboi!#:$"1zg;F?M=h!#:$"1*)H;kJ"p'f!#:$"1lu12Ba9e!#:$"13PJtf\hc!#:$"10].$QN!3b!#:$"1>7mndTa`!#:$"1t.y?d)3?&!#:$"1hU@$f'oZ]!#:$"1K$eR$>0&*[!#:$"1>RLyp?VZ!#:$"1p2S%=oBf%!#:$"2N+x$=GuUW!#;$"1f)>&*eGXH%!#:$"1r7jML"z9%!#:$"1m@2_Z2.S!#:$"2;>)*[=!=gQ!#;$"2d:rCX'Q>P!#;$"2/F`'H(R3e$!#;$"2=&*fCZvYW$!#;$"2dJI))Q=5J$!#;$"1yN(HX#)*zJ!#:$"1ktch4n^I!#:$"1j"=*Hm<EH!#:$"1wv/E<e.G!#:$"1'zR0CeRo#!#:$"1Xi()*3otc#!#:$"28*G*3NjQX#!#;$"2O=CR_'[VB!#;$"2wmV@#3FOA!#;$"1&RwX[SA8#!#:$"1Y,C56TJ?!#:$"2xMr3,!zL>!#;$"27v1(zlPR=!#;7S$"18zLd&p;?)!#:$"1WmP(zh]5)!#:$"1-2kLpL.!)!#:$"0()ed2<n*y!#9$"1rwq`GV&y(!#:$"1oS%))eA(pw!#:$"1z0[Y9$)\v!#:$"0z.Ud5gU(!#9$"1vO:Ii^)H(!#:$"1r8Z0*3w;(!#:$"1ys3XCbLq!#:$"1a.'4<8m*o!#:$"1`Sz6!fqv'!#:$"1Rc9V'e^h'!#:$"1ZXrT1=rk!#:$"1&zVul#RDj!#:$"1Ur*ogg!yh!#:$"1vb="*yWHg!#:$"1Z>^TY")ze!#:$"1'*G=&*pTHd!#:$"1A^q/k]yb!#:$"1^6M#)*GtU&!#:$"1f"[A)[7w_!#:$"1Wd1Ax7D^!#:$"1.kbXScu\!#:$"1&fOw#GlC[!#:$"1'*4(G-0cn%!#:$"1tmBeJiFX!#:$"1/Aqq4!4Q%!#:$"1U)3**3BcB%!#:$"0L*)fwk>4%!#9$"0B;Bk"4]R!#9$"2k'pts&f,"Q!#;$"2`pGE[9Bn$!#;$"2N#Q*GF#pON!#;$"225<ew=MS$!#;$"2DN>:p4EF$!#;$"1p:d82PWJ!#:$"/j<#\(z=I!#8$"2v0$=$yvf*G!#;$"1u$z5d")fx#!#:$"2u&3*RB"))eE!#;$"2$)\J'Q<tWD!#;$"1(epI'3eLC!#:$"2DS:^WnaK#!#;$"2'=F4a;U?A!#;$"2uBGPGl%=@!#;$"0M!)Q17'>?!#9$"23TH)))z'Q#>!#;7S$"1/PH\*[]@)!#:$"1F`[xXq?")!#:$"0[aD.m8-)!#9$"2vD%H2RC<z!#;$"1lJ*e$pb3y!#:$"1d0HI7`&p(!#:$"1TN**)\*Ryv!#:$"1.(=@D+uX(!#:$"1"fTk*pxKt!#:$"1jGBCux/s!#:$"2&oUj*f_O2(!#;$"1t(yi9c'Rp!#:$"1@(*yRM/.o!#:$"1CLq332km!#:$"1@*[su%*H_'!#:$"1wFHV62!Q'!#:$"1-bgCXbNi!#:$"2vb^kK(p*3'!#;$"1&zAL=\F%f!#:$"2&4([uCc\z&!#;$"1pc^O0cYc!#:$"1ig"GJ*z(\&!#:$"18.$e\/*[`!#:$"17'=+6-,?&!#:$"1Z%p$p<h^]!#:$"20R=+?YO!\!#;$"1Dh,-3TcZ!#:$"2v!*)3^K55Y!#;$"1PG+TJ"\Y%!#:$"1&>7pm@5K%!#:$"1"QZ)\8gyT!#:$"1h%yA!e"y.%!#:$"0YyW`>))*Q!#9$"2DX17!yvhP!#;$"2$zt.)[mni$!#;$"1J6[O?(R\$!#:$"2'R='oS"\jL!#;$"2Deox2KaB$!#;$"2Y2T23#*)4J!#;$"1)p?(o+'p)H!#:$"1Fon;armG!#:$"2xY7FNG#\F!#;$"2'\8'y6gXj#!#;$"2j96F:jF_#!#;$"2voB*38)QT#!#;$"2C%Rn$3]zI#!#;$"2O#Q*\(o*\?#!#;$"2am%)fDT]5#!#;$"2E3`eE&43?!#;7S$"1*[+va,yA)!#:$"1'HE(fniN")!#:$"1@;TJrdQ!)!#:$"0NQ3]_o$z!#9$"1xpc&[g1$y!#:$"16$R"yd@?x!#:$"1ph9D%Rdg(!#:$"1Ei.$4eu[(!#:$"1^Q1CLglt!#:$"1zWx&y5/C(!#:$"1$)yS<&>@6(!#:$"1f7cw6(4)p!#:$"1_sR*G4s%o!#:$"1osg2&y5r'!#:$"1juCvQ#Gd'!#:$"1"pc%3,pKk!#:$"1U0%4*3#4H'!#:$"1f!oz=ex9'!#:$"1Q_Z"eTM+'!#:$"1-kqGw?ee!#:$"1H/lY#*G7d!#:$"1RcMC^"fc&!#:$"1Mi$\;4$>a!#:$"2b@m"f**os_!#;$"1QWz"Hqi7&!#:$"1*)*3Aoc-)\!#:$"0&>Jg*[[$[!#9$"1Zp`y)R-p%!#:$"1([b1w9ma%!#:$"1G=#y=^TS%!#:$"1)Q0@s=IE%!#:$"1*zhvmyL7%!#:$"2xm-(oQQ&)R!#;$"1$>Rgay"\Q!#:$"2v6)>o")*[r$!#;$"1'GS*f$pEe$!#:$"2ZH`_%)4EX$!#;$"1h9aC%G[K$!#:$"2WT)z%)\U*>$!#;$"2D[@:a!\wI!#;$"2jQ75J2h&H!#;$"1Lhg6)[$QG!#:$"2xpzA**zKs#!#;$"2VV9qQd4h#!#;$"17.A$HH9]#!#:$"2`$pZsft%R#!#;$"2%*y0=()44H#!#;$"2V_eO'e(**=#!#;$"2w7*y-:&>4#!#;7S$"1/j(H>i*R#)!#:$"1y$=7<o)\")!#:$"/ZlC^,b!)!#8$"1muZRGfbz!#:$"1DjXN&)z^y!#:$"0TGc@OQu(!#9$"1@NB+g">j(!#:$"1f!GzW`i^(!#:$"1hNLn)oqR(!#:$"1a0)>i'eus!#:$"1DcpJW.\r!#:$"1B.XtEk?q!#:$"1xPk%oV'*)o!#:$"2DAH<2riv'!#;$"1=l,F!f2i'!#:$"2bf!Rc;M$['!#;$"1(H!e?BDWj!#:$"1kC\#*Hs.i!#:$"1Ni*Hj$)>1'!#:$"1t4S(eh#>f!#:$"1;,s/5yvd!#:$"1&>a;Gi<j&!#:$"10&fI`@u[&!#:$"1&*f\!4qHM&!#:$"126FISh)>&!#:$"0s9At`X0&!#9$"2&>uBqM)4"\!#;$"0sRb."4oZ!#9$"1[e:$Rdgi%!#:$"1ABLsj0&[%!#:$"1;71"Ra_M%!#:$"1T3"\@5o?%!#:$"1(\B,vu)pS!#:$"0D$yq3fMR!#9$"2kA&pzK4,Q!#;$"2wSkCS3&pO!#;$"2.'e69V&*RN!#;$"195Y(pSDT$!#:$"2:2'GK)otG$!#;$"2LE?VhJX;$!#;$"0%G$Gg8T/$!#9$"2mT4c4">EH!#;$"1N.(*HA$3"G!#:$"1VtT3r4)p#!#:$"2t.Gu%z.)e#!#;$"2=hiyC*p![#!#;$"2t(GS&)z6wB!#;$"1#Q4%>QKuA!#:$"2QDf&=$R`<#!#;7S$"1'3!o=Lc^#)!#:$"1AyH9fYj")!#:$"1x&R(p=sq!)!#:$"1fm*pc6N(z!#:$"1B^'=\A?(y!#:$"1o$3Gj[kw(!#:$"1Op"\')*)pl(!#:$"1*p%p@8&Qa(!#:$"2:)QUdFCFu!#;$"1m$oG!zP2t!#:$"1kt1<QZ%=(!#:$"1s%[zB](eq!#:$"14<XM*G/$p!#:$"14Y!G1L(*z'!#:$"1CL_Hl)om'!#:$"1vijjL6Kl!#:$"0nO05PcR'!#9$"1@#o(z,odi!#:$"1hd$*eLY=h!#:$"1:."e90#yf!#:$"1#3n0D@r$e!#:$"0#f&*fSU&p&!#9$"1b#e]8ALb&!#:$"1&eLTt>5T&!#:$"2lt,>O;(o_!#;$"1^)[kM1m7&!#:$"1F>yW%y[)\!#:$"1hR*yZ:P%[!#:$"0hPg*RH.Z!#9$"1A?uuRyjX!#:$"1%)f%>a[`U%!#:$"00hktV")G%!#9$"1sL#yH=B:%!#:$"11/W([8!=S!#:$"2un$zSHO&)Q!#;$"1ytJ]D\aP!#:$"1&3R%y._DO!#:$"2M+U,gc&)\$!#;$"2%G!*GuMqtL!#;$"1hw$GMb5D$!#:$"2;'H(pl)pIJ!#;$"2uJ"4H?r7I!#;$"2Y@%[4j;(*G!#;$"2(4a\'oCTy#!#;$"2Vcf)3GktE!#;$"2:-u)G*odc#!#;$"2X+4]1W0Y#!#;$"11N_#=-!eB!#:$"2Q&oi!Rq"eA!#;7S$"1G-[W^ji#)!#:$"19oQ%eak<)!#:$"1k`dEkt&3)!#:$"2b@GqC_1*z!#;$"0J`6T!Q"*y!#9$"2D;*[<b5)y(!#;$"1snKFy,"o(!#:$"1^wq#o7.d(!#:$"1K+G:**=cu!#:$"1\Z][K&)Qt!#:$"1T")p&p4&=s!#:$"12AQc*o`4(!#:$"1H@Q8Gkpp!#:$"0^oI`W:%o!#9$"1"z'3r#)G6n!#:$"1:0&e[)3zl!#:$"1%=(*>Of^W'!#:$"0d=fC9(4j!#9$"1#zz`4lH<'!#:$"2DxN^%>7Ng!#;$"1h)R.R#R'*e!#:$"1i"=%*3")pv&!#:$"1Nh&zG*3<c!#:$"1w2,lV"pZ&!#:$"1wa7.%\mL&!#:$"1JF=$y#['>&!#:$"1E!)30yfc]!#:$"1u>8NB<<\!#:$"2&zEt![y$yZ!#;$"1M[6$H#QSY!#:$"1[mL)\VL]%!#:$"1\M$pD:uO%!#:$"1VlI_RuKU!#:$"1b%[y+p%*4%!#:$"2:VjEtAx'R!#;$"2m/9c>Iw$Q!#;$"28C,t74$4P!#;$"1Q)p%\)pGe$!#:$"1E'>7B:%eM!#:$"2(>+Ir1/OL!#;$"2-Ppc5Me@$!#;$"2Yt6%Rg(y4$!#;$"2O=B?gRA)H!#;$"2/;2]i!**oG!#;$"2Dv`1u(=eF!#;$"1s?#3]#))\E!#:$"2wf'\9&>Ta#!#;$"20A\GgO4W#!#;$"2dI20(\OSB!#;7S$"1sp:ae?t#)!#:$"0F!4ok'))=)!#9$"1XFhv_4+")!#:$"1l:b*fbq+)!#:$"1=!3ED<*4z!#:$"1T\+Ag&)3y!#:$"1Yl$39`Sq(!#:$"1y%R$[Zp&f(!#:$"1OjKT8(R[(!#:$"1dP.>s2pt!#:$"1,ijB*47D(!#:$"1XNmy'p08(!#:$"1/p`F)et+(!#:$"1J9Su7y")o!#:$"2&)>*QH>/an!#;$"10!*QghMCm!#:$"1#yLLD**G\'!#:$"1m6%H)e!*fj!#:$"2&Q#fdfpbA'!#;$"1$)pF2B4!4'!#:$"1u1w9Qn`f!#:$"1l7PF8^;e!#:$"1Qo+:!*zyc!#:$"1-s>xvsSb!#:$"1MwDLQ[-a!#:$"1hSyM.Dk_!#:$"1AeW,]?E^!#:$"1xD!4y?&))\!#:$"1MMaL`O^[!#:$"1a`hU2!\r%!#:$"12!z,D$GzX!#:$"19<?>ImWW!#:$"03r>#R=6V!#9$"1G())[N$)*yT!#:$"1VOez?>[S!#:$"1ou;!4M*=R!#:$"0JUj]E8z$!#9$"224k>\zam$!#;$"1mEc)>'\TN!#:$"1FRALFZ>M!#:$"2V4\,:)\*H$!#;$"13J7lWl"=$!#:$"2cEZ?p;g1$!#;$"2$R>i+Hl_H!#;$"2t,-UHC;%G!#;$"2uM$z1`)Ht#!#;$"2FY4"=PyEE!#;$"2#Rzc&ygI_#!#;$"2bCs?R^=U#!#;7S$"1(y#Gc<I$G)!#:$"1MH^B<t+#)!#:$"1ZYo;D$Q6)!#:$"1.!>prfF-)!#:$"1-G!*4^nFz!#:$"1G='z?Y(Gy!#:$"0H'efd9Ex!#9$"1RIT[70?w!#:$"1;5p$QW1^(!#:$"1)>oUe5")R(!#:$"1J%R"e%QEG(!#:$"1,cez#>W;(!#:$"19`"fYYO/(!#:$"0L"zb]^?p!#9$"1[a3">@_z'!#:$"1ly:/;'zm'!#:$"1_0S7J$*Ql!#:$"1U'>=7K$3k!#:$"1y"f89ajF'!#:$"1P#*e4L>Vh!#:$"1kZHN>/4g!#:$"1.(4M0!4ue!#:$"1uHk(*\_Qd!#:$"2&>2/"*4`-c!#;$"14Kib()Gma!#:$"0_C@9v*H`!#9$"1a:v!yiP>&!#:$"1vUw`(>y0&!#:$"1oQc!H4B#\!#:$"0Wfe[*Q(y%!#9$"1#)yOTI@`Y!#:$"1fmQJq#*>X!#:$"1Z_Y#pswQ%!#:$"16$*GP_ecU!#:$"17Cy#p$zET!#:$"1CVKi2U)*R!#:$"2vm")=r#erQ!#;$"1s#\(z#*QYP!#:$"2Z'e]4O%Hi$!#;$"2&p!*p0AM,N!#;$"2W6"p6\n"Q$!#;$"2)fx,4\-kK!#;$"2P[Tvto%[J!#;$"12FhNj2NI!#:$"0;$R*46R#H!#9$"2LOT/'*H]"G!#;$"1ZGh![$[3F!#:$"2)ekGjfJ/E!#;$"11P*)zbc-D!#:7S$"0'yhIu%HH)!#9$"1;(pXay?@)!#:$"1m(y/0!)p7)!#:$"0Fd8E+y.)!#9$"1Y]7BMpWz!#:$"10M$4F>y%y!#:$"1/]ltDMZx!#:$"1:FNoEVVw!#:$"1'Hil)HEOv!#:$"1QcBu0,Eu!#:$"1XX>2c&GJ(!#:$"1(pQR!4)p>(!#:$"1XljP9dyq!#:$"1$)R5\Q"y&p!#:$"1rMaif*[$o!#:$"1$pvdI1+r'!#:$"10ykOOL$e'!#:$"1.kCxk1bk!#:$"1R4[dERDj!#:$"1&)R`p))\%>'!#:$"0p*fM-dig!#9$"1,6D$))*yHf!#:$"1L8p]&Qjz&!#:$"1^S0)=%Ric!#:$"1\U#3fJ"Gb!#:$"2NRa`/APR&!#;$"143N%*HLf_!#:$"1aR5Ax7D^!#:$"13P8g]E"*\!#:$"1$*o"Q6**y&[!#:$"1>1Y5!z^s%!#:$"0r"=p'[Kf%!#9$"1K,&GfYAY%!#:$"2D6`Ao0BL%!#;$"04QD2`N?%!#9$"1ne*=**4h2%!#:$"1N>NU;4]R!#:$"2[yVC52c#Q!#;$"1(ev9DfFq$!#:$"2)p$f\rW;e$!#;$"2Y!RxIQNiM!#;$"1w%*\N1(\M$!#:$"2.^=.(GdHK!#;$"2OD4e+Ki6$!#;$"2Bz,\G8]+$!#;$"2e!Q@$yvf*G!#;$"2->Pf[s"*y#!#;$"2040/Q]Yo#!#;$"1mYVj0X#e#!#:7S$"1Q`Zhe;-$)!#:$"0^p3JLHA)!#9$"1%=AVun&R")!#:$"1w^pX1@_!)!#:$"1ak:t"45'z!#:$"1VY)ou:h'y!#:$"1knhDwonx!#:$"1_;otk)em(!#:$"1M>=?z(3c(!#:$"1">+?6JGX(!#:$"14*3BE=>M(!#:$"2&G/E'>9$Gs!#;$"1^6_&*e>7r!#:$"1M\HV?u$*p!#:$"0h`9dKJ(o!#9$"10#e8@[0v'!#:$"0E8*\+<Em!#9$"1d'[B4z,]'!#:$"1u"pJ$evsj!#:$"1()=lO)zSC'!#:$"1_f?G$HV6'!#:$"1a(Qyz!o$)f!#:$"0`(*oh3B&e!#9$"2:%f<pYQ?d!#;$"1XIR(*z2)e&!#:$"1ke'fYabX&!#:$"1n!44WwHK&!#:$"1>[g([-0>&!#:$"1`V4(3(Ge]!#:$"1z.Xr.[E\!#:$"1slpyyA&z%!#:$"1/ukF.nkY!#:$"1F'\HTV\`%!#:$"1X`^?w<1W!#:$"1VrWj!)\yU!#:$"1G"o%QV-_T!#:$"1%H%y-/(o-%!#:$"2O>C7ZWJ!R!#;$"2W(=UL*[4y$!#;$"22<K2H!QgO!#;$"2(ol\7"H:a$!#;$"1y%37,![CM!#:$"1$fjgj6$4L!#:$"2Vf@Vo'4'>$!#;$"1b+&)H>!\3$!#:$"1fA<o#)yvH!#:$"1"o%Hx2")oG!#:$"140b$z=Sw#!#:$"1='f;+c9m#!#:7S$"1"*3Nf&y4J)!#:$"1l?eC2KL#)!#:$"1s<y$eB;:)!#:$"09*)))>Ag1)!#9$"1%3<+1dm(z!#:$"1z&R>qtO)y!#:$"0#R15BA(y(!#9$"1huP<tX(o(!#:$"1"*z(Q*p`%e(!#:$"2ve4+.B'yu!#;$"0$4j:,))pt!#9$"2bITg^v%es!#;$"1&\!eY'yX9(!#:$"18KIZ1OGq!#:$"1Pd?fR**4p!#:$"1EQX.>l*y'!#:$"1[a-l#3vm'!#:$"1C/9#)otVl!#:$"1.D!GC6&=k!#:$"1hos*3/?H'!#:$"2vuo[.(Qkh!#;$"2&Quq%=Ie.'!#;$"0fttx,l!f!#9$"1(QQE$ycwd!#:$"2&3*4d"=>Yc!#;$"1hjq:V`:b!#:$"1uwfRFv%Q&!#:$"2wlEB-,SD&!#;$"1f#RPNHM7&!#:$"1h6(G#R=$*\!#:$"0Ba+o1M'[!#9$"1QMA<^BMZ!#:$"2vk@n1-eg%!#;$"1lt")=bByW!#:$"1y%p!e%e;N%!#:$"1[Nf=()=EU!#:$"061#e)Q>5%!#9$"2`d[80;!zR!#;$"2V)*=1+Av&Q!#;$"2%H,nmGbPP!#;$"2c)f;;#*>>O!#;$"2-VCu)fa-N!#;$"2&y]JtCn(Q$!#;$"2e1D4K_YF$!#;$"2DG`ua`N;$!#;$"2BeY<dQW0$!#;$"2(Qt%3Ekt%H!#;$"21'H)3*>QUG!#;$"1.Lf@x`RF!#:7S$"10*p>n0%>$)!#:$"0(paNREV#)!#9$"1frU6Q<j")!#:$"1$QfxJk#z!)!#:$"1@cim'p;*z!#:$"1lp&p!*G0!z!#:$"1w:adb)f!y!#:$"0"pZJs=3x!#9$"1WwV`_G2w!#:$"1,H9rUV.v!#:$"0d7C'=z'R(!#9$"2D2-#R"=vG(!#;$"1s")**\`xvr!#:$"1,g%>[F<1(!#:$"1W#eS')Rb%p!#:$"1XK$Gxyt#o!#:$"2'o!y:/6uq'!#;$"1"o(puO!ee'!#:$"1N*p"oMsik!#:$"0>"QPmLQj!#9$"1RqW`%3G@'!#:$"1Y&)3*)GI'3'!#:$"1jm2vA)*ef!#:$"13c>op+Je!#:$"1u?hJ]`-d!#:$"1M&p%G>stb!#:$"1XxXH-sWa!#:$"1Kh.N$zcJ&!#:$"2X"p"H@Xn=&!#;$"2D5S8:g!e]!#;$"1)o(fGDwH\!#:$"1@(*=*f')>![!#:$"1i,#pHi[n%!#:$"1kf;b]^[X!#:$"16(zWklIU%!#:$"1VMhF+j)H%!#:$"1*)4)>B>`<%!#:$"1Lp]R#RK0%!#:$"1AOu$*3\KR!#:$"2uLtS#)pJ"Q!#;$"0/^nQm`p$!#9$"1US[Ac;zN!#:$"2`q*=IskkM!#;$"16&>lb&)=N$!#:$"1X"*o+'\4C$!#:$"0b3T..>8$!#9$"22([EMU![-$!#;$"0vsAL1(>H!#9$"2&))GZtsl;G!#;7S$"1/7y&3muK)!#:$"1*f]dl%y_#)!#:$"11Q'R0VU<)!#:$"1Zs?1Y'>4)!#:$"1txG4w21!)!#:$"1Y>C)*\r;z!#:$"1/.@/S,Cy!#:$"1\g?/e6Gx!#:$"0yDS;l"Hw!#9$"1=<cv+JFv!#:$"19;y*Q,FU(!#:$"1)HVmW#\:t!#:$"19e?.(Qe?(!#:$"1_$*=ht*Q4(!#:$"1R*>_*p#)zp!#:$"11Z(H=(yjo!#:$"1#*pTQ"Qfu'!#:$"1M0G\.WEm!#:$"1oh#*>UX0l!#:$"1W_l?(RJQ'!#:$"1)**>X/c'fi!#:$"1'pBEFh^8'!#:$"0X_)[?")4g!#9$"1-k#\EjP)e!#:$"1%)3gcx;dd!#:$"1X()y6g<Ic!#:$"1VLJ"*e$H]&!#:$"0GQHO#fv`!#9$"1&fa#\sG[_!#:$"1n2%**)*e67&!#:$"1>M%)=CM%*\!#:$"1"ffiboz'[!#:$"1LUt;W;UZ!#:$"1'G>E$G0<Y!#:$"1=Wd$H_F\%!#:$"1dQ7-oPpV!#:$"2X=>`uNqC%!#;$"1L`\#yLe7%!#:$"1wc/\2(e+%!#:$"2e#H3w:C()Q!#;$"2Uz&zDi.qP!#;$"2tecAkRVl$!#;$"1oNQ<<BSN!#:$"22R7<F(yFM!#;$"1'G&e\g2<L!#:$"2ahB$GF;3K!#;$"2cv44%p5,J!#;$"2/7o;Jjf*H!#;$"1V=S/:y#*G!#:7S$"1*3;)=v<N$)!#:$"1i%yTE.>E)!#:$"1Y(>)QW&[=)!#:$"1mt0.!\T5)!#:$"1$e(4w'4*>!)!#:$"1L%)fDOEKz!#:$"0*zV[@MTy!#9$"1Jt!QM!GZx!#:$"10Uwzn@]w!#:$"1h_RaJH]v!#:$"1h;u_RlZu!#:$"2NPW15YCM(!#;$"1lCm;'=[B(!#:$"/$4KEA\7(!#8$"1#**Q!)>4H,(!#:$"1lt>FE$*)*o!#:$"1y+`gk9$y'!#:$"1dO"3(\qlm!#:$"1U\adCwYl!#:$"2'o'*Q;HZEk!#;$"1OFD:(*)\I'!#:$"04"*yFlC='!#9$"1k^%fx]!fg!#:$"1bq@Ie*[$f!#:$"0>t>A[,"e!#9$"1Lj*\h`\o&!#:$"1">d!*Gb%fb!#:$"1l*=a)QzLa!#:$"0fI\;2"3`!#9$"1>\?z(HD=&!#:$"1,%=`0$>d]!#:$"1#G3WzCA$\!#:$"1>F[%3\x![!#:$"1C()pFh)Qo%!#:$"2NM-B3_2c%!#;$"0`m$>*e%QW!#9$"1")HS%H9rJ%!#:$"1$>nQV@o>%!#:$"1%y>l.zw2%!#:$"1wHb*="yfR!#:$"2aZQ$*H<K%Q!#;$"2d#GgO?2GP!#;$"2y'yy&HDWh$!#;$"1y(3$o@N-N!#:$"22Ay$HH#>R$!#;$"2KdD!QI?$G$!#;$"1:=!*\JDwJ!#:$"1$[EC9H62$!#:$"2%\5!=:#)y'H!#;7S$"1wWt0mbU$)!#:$"09YH!*Q1F)!#9$"1(Rf6qH]>)!#:$"1tZb**=%e6)!#:$"1iCKaH>L!)!#:$"1:^"))e/s%z!#:$"1%H:a\-!ey!#:$"1;w8Igrlx!#:$"1(Q,5!zZqw!#:$"2N*3A^QUsv!#;$"1WwEQBpru!#:$"1E6')4UUot!#:$"1<G%zPiFE(!#:$"1t:o"\^[:(!#:$"1#4[0hP[/(!#:$"1%>"[yy'G$p!#:$"1*f\,?!4>o!#:$"1a.H?Hl.n!#:$"1$Gyq]/ne'!#:$"1(p]/C$Rok!#:$"1k$yi!p')[j!#:$"1^mB(\s#Gi!#:$"2X$=>@fv1h!#;$"1@Y(yrhW)f!#:$"1s*oXyK:'e!#:$"1&o'\6,6Qd!#:$"1v-`FDL9c!#:$"2&Hb"oXO.\&!#;$"1DO$oobiO&!#:$"19)z$[6AU_!#:$"1h<)yqg$=^!#:$"1ujUs*)z%*\!#:$"1i#4y5d;([!#:$"1">m)pE0\Z!#:$"1R<H\%*4FY!#:$"1Xe4It!f]%!#:$"1Jhzh@e&Q%!#:$"1n6RXcAmU!#:$"0r3JBNz9%!#9$"1eJ(=//3.%!#:$"2WF)Q!y?\"R!#;$"1CUo*op.!Q!#:$"1")R$p\Iso$!#:$"2;9,BQybd$!#;$"2w$4aeR[lM!#;$"1;$QIE8qN$!#:$"1c8$>wF-D$!#:$"2c(\$fO%=XJ!#;$"2E,]uXN>/$!#;7S$"/Qzv*='\$)!#8$"1A(=bc4!z#)!#:$"0j*>#G*y/#)!#9$"1FeWZi1F")!#:$"0TSx%H&f/)!#9$"1ftdjfchz!#:$"1HHz!pDS(y!#:$"1(y@]0cMy(!#:$"2vOB-A%)**o(!#;$"1'zMAHSPf(!#:$"1()RJ=q&[\(!#:$"2N5RO[pMR(!#;$"1L+t0[r*G(!#:$"1B@vF=t$=(!#:$"1LTl63mvq!#:$"1a%z?8Vc'p!#:$"2&oO(>(4#Q&o!#;$"1.>z?qLSn!#:$"1Ah=wTLDm!#:$"1Jk-]_&*3l!#:$"1[5ezEM"R'!#:$"1PtkW#QEF'!#:$"1U;R"z#)H:'!#:$"0&yhjf^Kg!#9$"14d9UfP6f!#:$"17v$H>*p*y&!#:$"1y"pXA?wm&!#:$"1defb8FXb!#:$"1vnJ#\#yAa!#:$"10fR<4G+`!#:$"1Nsu*3"*y<&!#:$"2b:WgXMd0&!#;$"1-P;u#HR$\!#:$"1uk#)[/f7[!#:$"1XSkz$H=p%!#:$"2DcO<#QvrX!#;$"1<[.fxY_W!#:$"1eIL!HrSL%!#:$"1[C6G0m;U!#:$"1*p3,^F.5%!#:$"2%yObB,;&)R!#;$"19t(>/U7(Q!#:$"2<+:Wn_'eP!#;$"21DEo7nuk$!#;$"1%R#\vhvPN!#:$"2blD@D'eHM!#;$"1u%)QS%>IK$!#:$"1-.\$[8"=K!#:$"1C/]-=#\6$!#:7S$"1j**RC$zjN)!#:$"1&4Yx<KqG)!#:$"1&o:'>C:9#)!#:$"1^2[eO%y8)!#:$"1xc![o8#e!)!#:$"1lcq<UPvz!#:$"1V0DW1W*)y!#:$"2l)RE_<`+y!#;$"1z=[d%p(3x!#:$"1/V%f_yUh(!#:$"1OD]#H'=<v!#:$"1&zDjPAwT(!#:$"1_AH%R=dJ(!#:$"1o^9twg6s!#:$"1yyGh\U0r!#:$"1^23ThI(*p!#:$"1J%*[UzQ()o!#:$"1;o"*ew!ex'!#:$"2&H5.mGqim!#;$"1-)yV96#[l!#:$"1Uya1)pCV'!#:$"1nNhHch:j!#:$"1bZd$f%y(>'!#:$"1R%\ki6"zg!#:$"1\wmc.tff!#:$"0=gL(GxRe!#9$"1EU5&\p$>d!#:$"2&pikZ&[')f&!#;$"1X83^htxa!#:$"2:ZDp,cnN&!#;$"1ETZb#HeB&!#:$"1$R'z$>u]6&!#:$"0MpY?1Y*\!#9$"1HIrYv`u[!#:$"1O:%f@x\v%!#:$"1o6!*33.OY!#:$"0iAvR+y^%!#9$"1d1x:WQ+W!#:$"1Z<8ev(QG%!#:$"1[#Q**oq$oT!#:$"1Qs[p2&R0%!#:$"2F"=(=y+2%R!#;$"1"40Wo*pGQ!#:$"1O-[jB-=P!#:$"2bIuEgR(3O!#;$"2k5r=1=4]$!#;$"1$*f9n-i%R$!#:$"2;TE6h/**G$!#;$"2%3T^j`#o=$!#;7S$"1t@$)y9&GO)!#:$"1c"oBnAZH)!#:$"17muIs8B#)!#:$"1_X4'\%>[")!#:$"1bkV=y**p!)!#:$"1h#R&=Vl))z!#:$"1=r#QkuU!z!#:$"0*H9=F(p"y!#9$"0AZh[los(!#9$"1ZM:`E2Mw!#:$"1*))37U;(Qv!#:$"1z(HAA@4W(!#:$"1_J+\M"3M(!#:$"1mM'[=@&Qs!#:$"1.o%G$R<Mr!#:$"1&R;^M-z-(!#:$"1i<W`z$)>p!#:$"20n)\,H65o!#;$"1Z+uz'f))p'!#:$"1Gycj3@'e'!#:$"018b&))Hsk!#9$"1>n5KcDdj!#:$"1rl4'\77C'!#:$"1EfjM)*HCh!#:$"1H$RS)ok1g!#:$"1#)om,:Q))e!#:$"1-[YX*H'pd!#:$"1tOlhm^]c!#:$"1-)=53k6`&!#:$"1G#>UU#p6a!#:$"1%f#\;&>AH&!#:$"2:o$471'G<&!#;$"1uXwG#GP0&!#:$"1cM\#*>$\$\!#:$"13$zF\yl"[!#:$"2v")y&[6x)p%!#;$"1n?2&35;e%!#:$"1eNM@?>lW!#:$"1>j.p,h\V!#:$"10!)*>9a\B%!#:$"1)*4!p()487%!#:$"1^8yk&f(3S!#:$"1hlS$f"Q(*Q!#:$"1mzM+0D(y$!#:$"2%43gOpVyO!#;$"2b"RcSw+rN!#;$"1%Qh@UD]Y$!#:$"1;1'o:\0O$!#:$"2;F:$*yLwD$!#;7S$"1'=t'e%[!p$)!#:$"1W$yv0'4-$)!#:$"12*R#*yg<B)!#:$"1N-&*fz8e")!#:$"1\N9=nK"3)!#:$"1e&3A$)H9+)!#:$"1Q)p<Y`&=z!#:$"20+\J#p!G$y!#;$"1V$H(\CIWx!#:$"1\q&z%\:`w!#:$"17)=(\<[fv!#:$"1$\R=O-MY(!#:$"2NPWM@Q]O(!#;$"18*G>S7XE(!#:$"12QFQ%\>;(!#:$"1%GOC*\Zdq!#:$"1H"Q&Rc@^p!#:$"1G&evg)HVo!#:$"2l\Cs_^Qt'!#;$"1yVx%=-Ii'!#:$"1w(\#y#y3^'!#:$"2la\z<2wR'!#;$"1Kal"p:LG'!#:$"1>F@N)H"oh!#:$"1p@-4Y<_g!#:$"2&3$p4ytb$f!#;$"1^vGw'\%=e!#:$"1#H=[(H#4q&!#:$"2&Q*)4;D6$e&!#;$"1'3vE6N^Y&!#:$"0/)*>P0rM&!#9$"1VNBFb8H_!#:$"186Fx_L6^!#:$"11p=O;"Q*\!#:$"0fwBzom([!#9$"1"*y`xz+gZ!#:$"2;&fkXt#Rk%!#;$"1&[G?'=_GX!#:$"1r?h-K)QT%!#:$"1*RvLm*4+V!#:$"1,9,!3cs=%!#:$"1")ewdPVvS!#:$"2aK)Q6/rkR!#;$"2Wb)4:,;bQ!#;$"2etUCE`ou$!#;$"1@J)e`c)RO!#:$"1;#Qf)GBMN!#:$"2Kyj'>:/IM!#;$"1c0C)*yLFL!#:7S$"06B9`#)\P)!#9$"1:d<![m"4$)!#:$"1()Gr&>R+C)!#:$"1tE'R;#pn")!#:$"1F?:b0A#4)!#:$"1PHZ:Is8!)!#:$"1c?f_9IKz!#:$"0Wbc"31[y!#9$"1o;Xq)36w(!#:$"0e0/(fbrw!#9$"1p:3C[^zv!#:$"0-z)f-5&[(!#9$"17Sg))*G%)Q(!#:$"1d-gk$>'*G(!#:$"1m$=h9"z)=(!#:$"1$\'fb_1'3(!#:$"2X%p^SNc")p!#;$"1NA\N&3a(o!#:$"1r5AEKsnn!#:$"1M$Rf"3jem!#:$"1VQ(\\a#[l!#:$"1$4()R@<nV'!#:$"1_,[h99Cj!#:$"1#z(4Y!\1@'!#:$"13_D%)3O'4'!#:$"1N(zNz'R")f!#:$"1kOj#Hve'e!#:$"1&*[N2M"*\d!#:$"1)RBY[EOj&!#:$"1u'HL,Gr^&!#:$"1o4H`%H0S&!#:$"1&zFB2SRG&!#:$"1Y;y"zmu;&!#:$"184sSS@^]!#:$"18'\!>OGN\!#:$"1x%*ppXx>[!#:$"1GL0gIy/Z!#:$"1NWrsAS!f%!#:$"2vt.dIAnZ%!#;$"1W[8#3IQO%!#:$"1()[Qp#4=D%!#:$"2mp[x?S29%!#;$"207L&[)*pIS!#;$"1#o>:qh<#R!#:$"2BD&p"z&*R"Q!#;$"2cZB^iouq$!#;$"1yN!Q;VAg$!#:$"2(R)Q$4)y$)\$!#;$"2Fs8_RJfR$!#;7S$"1Xssj_m!Q)!#:$"1-Oy$GZfJ)!#:$"1aD&Hk()zC)!#:$"1&Gj$3U(o<)!#:$"1#[26Q)p-")!#:$"1r#R2!\bD!)!#:$"1O3(RkTb%z!#:$"2&=8;=%fF'y!#;$"1rv?]<Jxx!#:$"16RXrYI*o(!#:$"1\UC*\Y))f(!#:$"1bRu:w/1v!#:$"1m0mW--6u!#:$"1R;\E#yQJ(!#:$"1z_#HzOZ@(!#:$"1eQ,TBr8r!#:$"1<Rt2A#4,(!#:$"1Kg`XW[1p!#:$"13qZ*f<0!o!#:$"1sK^'[SJp'!#:$".>v(>Z%e'!#7$"1tbd#yIYZ'!#:$"1()*f+CNPO'!#:$"1'eR+6.>D'!#:$"0UeCP^#Rh!#9$"1%Rx0.'*e-'!#:$"1ne5?>&>"f!#:$"1%ROW_Kvz&!#:$"1G!ojz\Fo&!#:$"0kvm)Rrnb!#9$"1&fa)zM`_a!#:$"2X)4MPYJP`!#;$"14$y%[;;A_!#:$"1=8Z*Qwr5&!#:$"1m!Q0HeC*\!#:$"0_S9@/"y[!#9$"2NEWbK3Uw%!#;$"1,t_7?'3l%!#:$"1)fG)fP:QX!#:$"1Oq*G2phU%!#:$"2DxsUR!*\J%!#;$"1fV]Jqp/U!#:$"19s(Q4l`4%!#:$"2k<-zVnq)R!#;$"1.m[@O()zQ!#:$"2j<&om)\Qx$!#;$"2Z#Q!4.f!pO!#;$"2$GlS'egbc$!#;$"2:O`zg5MY$!#;7S$".1'ov5'Q)!#7$"1[lci5XA$)!#:$"1Ab7w/ib#)!#:$"1pEJY-q&=)!#:$"1#)R!4?yF6)!#:$"1A:#[PXp.)!#:$"1j'f5#eHez!#:$"1pko;k#p(y!#:$"1#>zWmOHz(!#:$"/3w!\Gkq(!#8$"1>2,Sg]<w!#:$"0mEoYvi_(!#9$"2:h;esWGV(!#;$"2bh***fLKPt!#;$"1`=H)GA)Rs!#:$"1u/l#f`/9(!#:$"2l6TaII$Rq!#;$"1yte(>ml$p!#:$"2X>]!obFKo!#;$"11N<NIdEn!#:$"2lO>/Lt&>m!#;$"1B***\4"R6l!#:$"1Xy*)z19-k!#:$"1;![(\f$>H'!#:$"1^T."4!*3='!#:$"1MI.Da6pg!#:$"1Vu"fABn&f!#:$"1Q`SWN#Q%e!#:$"0V>t.D0t&!#9$"1ngR.[$ph&!#:$"1BrlD#eJ]&!#:$"1N@j?))H*Q&!#:$"1*e"p%4eaF&!#:$"1.]s2ath^!#:$"0;qV%yA[]!#9$"1lD(H4I]$\!#:$"1%RECLMA#[!#:$"2D3@q7I*4Z!#;$"2&[+RHV?)f%!#;$"1u8j"*49([%!#:$"1,Nk%G@oP%!#:$"2Nm#pDMKnU!#;$"1KN?9EseT!#:$"1d#Rd(44^S!#:$"20.8T^(\WR!#;$"1s)\:23!RQ!#:$"2$=[z'H&oMP!#;$"1$zT5i)eJO!#:$"2&)pP:Cu(HN!#;7S$"11q.\(>8R)!#:$"1'QN3r*oG$)!#:$"0;D%[7&HE)!#9$"198_Xb=%>)!#:$"1$*>7SqZA")!#:$"1&y^>D8z/)!#:$"1=Au/Yeqz!#:$"1iN&QC%e!*y!#:$"0)>v\y+3y!#9$"1DL'yW`Hs(!#:$"1(*3L:7_Nw!#:$"1<%3_G8ea(!#:$"1O8i[N$RX(!#:$"18+Vbu)*ft!#:$"1<l#R"=3ks!#:$"1_L4!fCj;(!#:$"1'HZpqCo1(!#:$"1CW[W=plp!#:$"1bQtSi.jo!#:$"2Xa<W\o*en!#;$"1T8qp$*f`m!#:$"1c&4NgRqa'!#:$"1%Hger*RRk!#:$"1QFmB)*yIj!#:$"1r-Se%>8A'!#:$"1aY5)Q(46h!#:$"2D52SWJ-+'!#;$"1$4JANG)))e!#:$"1&eq3d$*px&!#:$"1y[xK6$[m&!#:$"2NCQV\VCb&!#;$"1@*o0RJ*Ra!#:$"1>")o'p$RF`!#:$"1&*\['HF\@&!#:$"0nGw&pi-^!#9$"1hR69_e!*\!#:$"18;*fD#*)y[!#:$"11'4l#ejnZ!#:$"1hlwE6!pl%!#:$"0'Q&zsqna%!#9$"1J'Q7\CtV%!#:$"0_:`\R'GV!#9$"1A<jr**y?U!#:$"17nEZs%Q6%!#:$"1AcU&pzy+%!#:$"2&HK[$p_H!R!#;$"1)>&\)eG"*z$!#:$"08s+nmkp$!#9$"1)f$\]J-&f$!#:7S$"1^d?Q:J'R)!#:$"1EL*)oWnM$)!#:$"1.EasF**p#)!#:$"1BeHXXM-#)!#:$"1;+_25"=8)!#:$"/z]TjZe!)!#8$"1RxICvU#)z!#:$"2X,Yh:aP!z!#;$"1ud"\G[D#y!#:$"2Yh5sA/*Qx!#;$"2v$**Q'Q=Hl(!#;$"1_[;o!*okv!#:$"1^j>%H;VZ(!#:$"1Lx>9;!>Q(!#:$"1<B.<za(G(!#:$"1rWHT#f8>(!#:$"2NcdeeSM4(!#;$"1Ln'3s(*Q*p!#:$"1_kk**p$G*o!#:$"1[U)><l.z'!#:$"1)GT#*>*e'o'!#:$"1,)G<2;;e'!#:$"0Rw(GEbvk!#9$"11O!>Q0&oj!#:$"1M6\T.egi!#:$"2v*3LZG)=:'!#;$"1LtT.u^Ug!#:$"0)HK<veKf!#9$"1*y#[Wb>Ae!#:$"2&o5pPDW6d!#;$"16W4-"G/g&!#:$"0kUfD]#*[&!#9$"1(yPtH0!y`!#:$"1$Q*>xwym_!#:$"1/8ky)*ob^!#:$"1uJ$HI-[/&!#:$"1bi>iJ@M\!#:$"0'4'*y$3S#[!#9$"1[/p#\rUr%!#:$"0*>NtN30Y!#9$"1e`4UJ_'\%!#:$"1Nb2*4m')Q%!#:$"1k]Vece"G%!#:$"18.W!H_`<%!#:$"1:\uqO.qS!#:$"2ZvLnj%plR!#;$"1J4)3:(RiQ!#:$"2M!o.r-?gP!#;$"2NtSv7g"fO!#;7S$"1T1rO@4,%)!#:$"1oBWlfTS$)!#:$"1'\7$orvw#)!#:$"1^)*Q44>5#)!#:$"1PS)HN&zS")!#:$"1p>)3^^'o!)!#:$"13u)\3VQ*z!#:$"1k1z0jX;z!#:$"1ER5n(zl$y!#:$"2&=X]dUIax!#;$"1DO$*)eA(pw!#:$"1N=!HUHHe(!#:$"1X]v%4@S\(!#:$"1s\XOa4.u!#:$"1eyK)f^-J(!#:$"1cDBq)*e:s!#:$"1Mbf-:@>r!#:$"1D_vF&=7-(!#:$"16;0#e8<#p!#:$"0'*)3H(*z?o!#9$"1F1f%G!e=n!#:$"1-VDV'e^h'!#:$"2b[/!3"Q1^'!#;$"12j-A<70k!#:$"1&z]R57()H'!#:$"2b@ZlG6:>'!#;$"2l*>Ef0i$3'!#;$"1Xu#\JS^(f!#:$"1Ne%4!*ph'e!#:$"2ldO_Z2ov&!#;$"1R`@n)\rk&!#:$"1fY0WCHPb!#:$"03cC)*GtU&!#9$"1kM9Y:N<`!#:$"1'*oEp.X2_!#:$"1*)f)eu8x4&!#:$"1)G!oDzA))\!#:$"1VT,;q2z[!#:$"1$>i/*GMqZ!#:$"1\3)Q50@m%!#:$"1:5493WaX!#:$"0R;-rCuW%!#9$"1F@qZ*G6M%!#:$"1Y'=+4BcB%!#:$"1Jk.dS(48%!#:$"1;(Q+3Ys-%!#:$"1^4Kj1]CR!#:$"2uK3Bb'zAQ!#;$"2Fo0"3(*=AP!#;7S$"179)pCqcS)!#:$"1_&RoDCfM)!#:$"1c;&o!fD$G)!#:$"0V/]dPx@)!#9$"1aDI@XW\")!#:$"0*p(Qua%y!)!#9$"1^PvI)[[+)!#:$"1Ynn2)4(Gz!#:$"1=iQ#)H7]y!#:$"2Digdyv"px!#;$"1N[B5w&fo(!#:$"1(=6fkf0g(!#:$"1&G#y9Z28v!#:$"1@^[.rfBu!#:$"1Tf+&RAAL(!#:$"2&pKv*HZ!Rs!#;$"1yMT'[pT9(!#:$"1=))*HT(oZq!#:$"1GB\e,q\p!#:$"1%)o[bsI]o!#:$"1Ay?C&3'\n!#:$"1`"*H3RqZm!#:$"1ALu7LpWl!#:$"2NvsUWw1W'!#;$"1&[>Yl_dL'!#:$"17c$py?+B'!#:$"1GNqD!zN7'!#:$"1`%R/vCl,'!#:$"0wyMRa*3f!#9$"1'*[6-L'4!e!#:$"12oM0ck#p&!#:$"14DZ&3%4%e&!#:$"1U'[Z0+aZ&!#:$"16sJPKlm`!#:$"1*o#ec;%zD&!#:$"2bT.#G:N\^!#;$"12F%)er'4/&!#:$"17c!3&3(G$\!#:$"2&R'oE"G9D[!#;$"1([!*f2hyr%!#:$"1nI<=956Y!#:$"1aL_"HP\]%!#:$"1e"[&e(R%*R%!#:$"1ef\Lun%H%!#:$"1J<9Ikr!>%!#:$"0%Qz:.i(3%!#9$"21"\[r+X&)R!#;$"2m;#HeSE%)Q!#;$"1=tr*)z6%y$!#:7S$"1e`90T05%)!#:$"1$elM')37N)!#:$"1*))z9&)*\*G)!#:$"1$H^#)z'*\A)!#:$"1#[-@?sx:)!#:$"1X])\>,z3)!#:$"1k3v-9Y:!)!#:$"1P*)o,G`Sz!#:$"1_!)prv>jy!#:$"1;<ZY*RNy(!#:$"1Um2hgk,x!#:$"1*\4tz.wh(!#:$"11!>si-:`(!#:$"1\9=bMVVu!#:$"1:v"*e%)[`t!#:$"00P)H4whs!#9$"0c&48^Mor!#9$"2bhUx/OL2(!#;$"1XvL2%Ho(p!#:$"1U8ST8#*yo!#:$"1Xr1=$3(zn!#:$"13IGopGzm!#:$"1==">$Rvxl!#:$"1@I11d?vk!#:$"19(zf\Q<P'!#:$"1kHzo![uE'!#:$"1ECW5'HC;'!#:$"1r*[gexn0'!#:$"144,/ce]f!#:$"1$y!3%GYR%e!#:$"0Rk'H6&pt&!#9$"1\yc//pHc!#:$"14DS9IDAb!#:$"1G3%GREZT&!#:$"1s%**GR'>2`!#:$"1&))3M=Z(*>&!#:$"1e7"3:hC4&!#:$"1*[6k!)=a)\!#:$"1^")=*p)py[!#:$"20TaULxBx%!#;$"1^6/(4Hlm%!#:$"2vhdK=E7c%!#;$"2&eymM&QlX%!#;$"1TVq!yLDN%!#:$"1TS#f=x#\U!#:$"1[dH.;$o9%!#:$"1<@HLuDXS!#:$"2mRW()e7Y%R!#;$"2(eLSlC&\%Q!#;7S$"1/Tb5:D9%)!#:$"1oTW.)yiN)!#:$"1`do&H*\&H)!#:$"1aYO'>!)>B)!#:$"1=<Dw8zl")!#:$"1)>q)R_+(4)!#:$"1;Cp$f'pD!)!#:$"117!3^U>&z!#:$"1\"eB>Ae(y!#:$"1:kAEoT(z(!#:$"1^/5V%4or(!#:$"19$)\qZ3Mw!#:$"20Yu\3H$\v!#;$"2&*G7H1IEY(!#;$"1-bDIm2ut!#:$"1#QO:")ePG(!#:$"1jqbyvw">(!#:$"1/j2*p%>)4(!#:$"2lV]eeKJ+(!#;$"1'erj9um!p!#:$"18+kLE"*3o!#:$"19.I)\T*4n!#:$"1YIYUU&)4m!#:$"1kU_vUu3l!#:$"1ZcGsZq1k!#:$"1csmL&GQI'!#:$"1*p$H]y?+i!#:$"1h@ApV$f4'!#:$"1e%oS'*)4"*f!#:$"1#et(3;z&)e!#:$"0sR_D,,y&!#9$"1%Q]]r:Tn&!#:$"1lWZX:#zc&!#:$"1.$R*RRgha!#:$"11@9BmCb`!#:$"11S&4vJ*[_!#:$"1UZD:)RF9&!#:$"1h1#Qb\n.&!#:$"1W@Ply.J\!#:$"1&Qr)H(zc#[!#:$"0"[9M"[2s%!#9$"1K"*)G+9jh%!#:$"1">/^8YC^%!#:$"1-.)f96#4W!#:$"1rED9Mn1V!#:$"2u[?].&*[?%!#;$"1XQ,yd$R5%!#:$"1atF^I&Q+%!#:$"2dpD-(=q/R!#;7S$"1oS;`)p#=%)!#:$"1T*GRiU6O)!#:$"1(ew$)*RE,$)!#:$"0x@py)pQ#)!#9$"0[2!fV^t")!#9$"1f:NA0y0")!#:$"0<O&)Rpb.)!#9$"1a*\_HbH'z!#:$"09*\vX,))y!#9$"13"4T_D3"y!#:$"1bA%=@o9t(!#:$"2b@huNC+l(!#;$"12)o!)=xlc(!#:$"1/t0)H67[(!#:$"2lp**p]7SR(!#;$"1f^"orn]I(!#:$"1i(Q&oZY9s!#:$"1CI-*H#HAr!#:$"2N8&*yfR'Gq!#;$"0"))3lkfLp!#9$"1@ZEpIDPo!#:$"1fkU2)*pRn!#:$"2&4A.mr-Tm!#;$"0(R*QeD8a'!#9$"1Cw9<`oSk!#:$"1)HnlI'>Rj!#:$"1kv[Z![pB'!#:$"0-'ei%HS8'!#9$"1&HnxxG0.'!#:$"12xP,M`Ef!#:$"0Enp!)H@#e!#9$"1GD!)>MS<d!#:$"1G7K2&QCh&!#:$"18[qt!=t]&!#:$"19BteP7-a!#:$"2/'Q1Td$pH&!#;$"2l@)3YE$=>&!#;$"1">a%e9*o3&!#:$"1`5RRu=#)\!#:$"2Wi3*[Szx[!#;$"1cH&H(GytZ!#:$"1f#zbbB-n%!#:$"1W*)=OP=nX!#:$"1kP'=**GZY%!#:$"2vr:[yAHO%!#;$"1"*y&\TE=E%!#:$"1Tuex*)\hT!#:$"1k#fhK(*>1%!#:$"1%y:,/wL'R!#:7S$"1Xf%*Qh6A%)!#:$"19[:I%3eO)!#:$"1O0j;K!oI)!#:$"1x$4V-j^C)!#:$"1#>l,%G&4=)!#:$"1Vm:)**RU6)!#:$"1ZyrhS4X!)!#:$"1T!zIq'etz!#:$"1x(4(z:z**y!#:$"1wA=3UyBy!#:$"13kvN=kXx!#:$"1v5**4LWlw!#:$"1F*)oY*oKe(!#:$"1yD['R+#*\(!#:$"1V4P50K8u!#:$"1<P^/KrDt!#:$"1e0fCLYOs!#:$"1-#H+^cc9(!#:$"0m.%e!zL0(!#9$"1O$*H!z<(fp!#:$"11t$\"*fZ'o!#:$"1)>Wo*Gfon!#:$"11w%QK/8n'!#:$"1')*pmx")Hd'!#:$"1%*eQ+Frtk!#:$"19!**zF%etj!#:$"16iQ1Losi!#:$"2v1Y[2'4rh!#;$"1')*ykC3*og!#:$"1__hUZ?mf!#:$"0-'\I'pI'e!#9$"1V0S9gefd!#:$"1b4SIf$el&!#:$"1aK"\C+>b&!#:$"1P3?d&eyW&!#:$"1&ftf5*yV`!#:$"1OG@!oo(R_!#:$"1;(QV`se8&!#:$"1jQ#yIu@.&!#:$"1)4V$\fuG\!#:$"1kh`XwlD[!#:$"1wmWax(Hs%!#:$"2vR(oVFx?Y!#;$"1;)oL82">X!#:$"1j]"QWV!=W!#:$"1L!y![@k<V!#:$"1O)[#H;'z@%!#:$"0^_D9e!>T!#9$"1[3?#y&)4-%!#:7S$"1NH[8qzD%)!#:$"1-MV7RGq$)!#:$"0D\htD@J)!#9$"1'o_O$GQ^#)!#:$"1d5W@z6)=)!#:$"1xDpvfRA")!#:$"1=S?@TGa!)!#:$"1;cK<:&Q)z!#:$"1JT;T#p6"z!#:$"1b&H$o,JOy!#:$"1K[]^)[$fx!#:$"1657(Rh.o(!#:$"0HA/MD%*f(!#9$"/o?>&>m^(!#8$"0cHl%R-Ku!#9$"1<Ml#o>dM(!#:$"1')G`1()yds!#:$"1.P6(y8$or!#:$"1@"GZNyt2(!#:$"2:]iGPm])p!#;$"1*Qp0@i9*o!#:$"138z:0l'z'!#:$"1.x&)*3;2q'!#:$"025MwVPg'!#9$"1mL+u#=e]'!#:$"/RiXT-2k!#8$"1%zb.dXuI'!#:$"2vT>CHmr?'!#;$"1<bz%\pi5'!#:$"1.%R')oP[+'!#:$"13!zcg_H!f!#:$"1'=!y$4&p+e!#:$"1R;&e,X")p&!#:$"19/D_6Q&f&!#:$"1%ePo5"[#\&!#:$"1F>#o@@&*Q&!#:$"1Jq^mkd'G&!#:$"0(e70/s$=&!#9$"1mRlo]-"3&!#:$"1u//14cy\!#:$"0$Qe4nRw[!#9$"1ens\&*fuZ!#:$"1dED9ZBtY!#:$"0&R$>llBd%!#9$"1Y,m?R0sW!#:$"1&[i+9fBP%!#:$"1B%R'[*QLF%!#:$"1/nPl*[]<%!#:$"18U%evUv2%!#:7S$"1$*G!Ry=$H%)!#:$"1-fDrjdu$)!#:$"1=Bf**)RsJ)!#:$"1$o/CkntD)!#:$"0G,8:?]>)!#9$"13=1a,EI")!#:$"1T@g\C:j!)!#:$"1mT4+Qw$*z!#:$"1::\?G;Az!#:$"1mnrl)>%[y!#:$"1%))od"pgsx!#:$"1)*H,fuz%p(!#:$"2lE;RPm]h(!#;$"1f_\4)*[Lv!#:$"2&R1uk]9]u!#;$"1&)[Gn/6lt!#:$"0vx:Dl%ys!#9$"1(fKoV*G!>(!#:$"2&=U+0Pm+r!#;$"1^e0z#p'4q!#:$"1^!p<!yQ<p!#:$"0#fM:7!R#o!#9$"1%yZ?k"HHn!#:$"0,4hETOj'!#9$"1`z:<A.Pl!#:$"1:0PbkaRk!#:$"1$4u&ecETj!#:$"2'Q=^66FUi!#;$"0&)oufVE9'!#9$"1OGX#HjC/'!#:$"18F6i'4=%f!#:$"0$*o:Oh2%e!#9$"1%H>$QhRRd!#:$"/QPQ2zPc!#8$"1c:w:3-Ob!#:$"2X(>aX3;Ma!#;$"1#fT//%GK`!#:$"1"yE7Fi/B&!#:$"1`8"4*fwG^!#:$"1#)o)G;ks-&!#:$"1`@0$>Cg#\!#:$"1Gq+m=6D[!#:$"2vhk`G"fCZ!#;$"1vVA=[_CY!#:$"1Cz$Q/t\_%!#:$"1T#)[1Z*fU%!#:$"1"3#fsmkFV!#:$"1L]-#*Q)*HU!#:$"2X>eOOfI8%!#;7S$"1WoFRuoK%)!#:$"1eElSFpy$)!#:$"1B*eHj`@K)!#:$"1&fw(4k7j#)!#:$"1PJVd&p;?)!#:$"1N,`eO%y8)!#:$"1Jma#H6<2)!#:$"1&HYP$pL.!)!#:$"1e6iYoyKz!#:$"11(3"z*G,'y!#:$"1>F#Q&GV&y(!#:$"1u3ad%p(3x!#:$"1'3%>H6@Iw!#:$"1'4/mWJ)\v!#:$"1Mi@7^qnu!#:$"1=W2Qy!RQ(!#:$"1TYGIi^)H(!#:$"1t<@twg6s!#:$"1:Dl8-EBr!#:$"1@YAXCbLq!#:$"1[!4KRjD%p!#:$"1Vz2+CP]o!#:$"1%pO>,fqv'!#:$"17J5mGqim!#:$"1$HT+e$Qnl!#:$"1)Rh=k!=rk!#:$"0&**e-L<uj!#9$"12!3/ZSkF'!#:$"1Br/211yh!#:$"1K[_E;6zg!#:$"2k.$R'zq'zf!#;$"1.SmTY")ze!#:$"1D'p:&)='zd!#:$",$*=e"zc!#5$"17#e[S1&yb!#:$"1az:^htxa!#:$"1M5[.*=pP&!#:$"/8S#)[7w_!#8$"1s:F!)HUv^!#:$"1b&f8p!)[2&!#:$"0n3d/kX(\!#9$"19*)yYv`u[!#:$"1yG*H6k[x%!#:$"1D:-B]gvY!#:$"1#)R>l)>od%!#:$"2&peq!\m&yW!#;$"0=]3(4!4Q%!#9$"17_?ev(QG%!#:$"1>Xy^'[v=%!#:-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""$6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6%-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q'&#963;6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'normal6"-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"r6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q8Vega~of~the~Call~Option6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%+LIGHTMODELG6#Q(LIGHT_36"-%+PROJECTIONG6,$")(*****\!")$!)x1rq!")$")(*****\!")$")(*****\!")$")x1rq!")$")(*****\!")$!)x1rq!")$""!!""$")x1rq!")$"#5!""-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$+"!""-%)BOUNDS_YG6#$"$S%!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%!o$!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%]Q!""-%.BOUNDS_HEIGHTG6#$"%+P!""-%)CHILDRENG6"G6" S;

SSJTRzYi

: Explore:-Runtime:-Update( plot3d(_nu(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Vega of the Call Option"), ':-Plot5', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider15', ':-Slider16', ':-Slider17'], ':-labels'=[':-Label15', ':-Label16', ':-Label17']); K;

SSJLRzYi

: Explore:-Runtime:-Update( plot3d(_nu(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Vega of the Call Option"), ':-Plot5', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider15', ':-Slider16', ':-Slider17'], ':-labels'=[':-Label15', ':-Label16', ':-Label17']); T;

SSJURzYi

: Explore:-Runtime:-Update( plot3d(_nu(S,K,T,sigma,r),sigma = .1 .. .5e-1,r = .1e-1 .. .5e-1,title = "Vega of the Call Option"), ':-Plot5', [':-S', ':-K', ':-T'], ':-sliders'=[':-Slider15', ':-Slider16', ':-Slider17'], ':-labels'=[':-Label15', ':-Label16', ':-Label17']); LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= JSFH

JSFHJSFH

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

Parity 1. Price Put Call Parity 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

JCIiIUYj

JSFH Define a Strangle. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

Zio2I0kic0c2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUkqcGllY2V3aXNlRyUqcHJvdGVjdGVkRzYoMjkkIiNdLCZGLyIiIkYuISIiMkYuIiQrIiIiITJGNEYuLCZGLkYxISQrIkYxRiVGJUYl

6*-%'CURVESG6$7dx7$$""!!""$"$+&!""7$$"1U%)oPvS')y!#;$"2a6BY#f8@\!#:7$$"2(>RycG$[Z"!#;$"13;K9n^_[!#97$$"2.3;KkFlC#!#;$"1#RycBZ`x%!#97$$"1"4=OsPL-$!#:$"1">QwAmwp%!#97$$"1LlIhdX'z$!#:$"1Z$pQUa.i%!#97$$"117C[^B8X!#:$"1ze<&[w'[X!#97$$"1['Hfo=aD&!#:$"1NqSJ"eWZ%!#97$$"1e:Jif)H-'!#:$"1W)oPS,xR%!#97$$"2u^.2k"4)y'!#;$"1['Hf$3>@V!#97$$"20'=Puo4vv!#;$"19Gc7.\UU!#97$$"1:Gc7:Ho#)!#:$"1>Pu[3<tT!#97$$"18BY#\k'[!*!#:$"2&oPv]N8&4%!#:7$$"0(Rze<CK)*!#9$"1.17Cex;S!#97$$"217C[OO(e5!#:$"1ze<NOETR!#97$$"2Y"Hem'3t7"!#:$"1&3<ML"psQ!#97$$"2e9HewZ)37!#:$"1a3<MA:"z$!#97$$"2)f>Ry?#zF"!#:$"0/3;#z2AP!#87$$"1sV([#>Fe8!#9$"1Gc7v!G<k$!#97$$"2T%)oP:&RH9!#:$"1c6BY[gqN!#97$$"2uX"H3'Gu]"!#:$"2Ca3<RrD\$!#:7$$"2x],."\t"e"!#:$"2C\)p*3l#=M!#:7$$"20.17ul#f;!#:$"2&pRzeUtSL!#:7$$"2CT#[YKYI<!#:$"2we<NvO&pK!#:7$$"2#f=Pu$fs!=!#:$"239GciSF>$!#:7$$"2CX!4o*Gq)=!#:$"2wa4>.rH6$!#:7$$"1)f>Rjok&>!#9$"1-/3m8`VI!#97$$"2X)oPv`YJ?!#:$"2b6BYiM&oH!#:7$$"2OpQxMW*3@!#:$"2kIhAlb5*G!#:7$$"2NmKlSUZ=#!#:$"2lLnMfd_"G!#:7$$"1(Rze#43eA!#9$"1.17u!>>u#!#97$$"2MpQx%3^RB!#:$"2mIhA:*[gE!#:7$$"2nNrUDzET#!#:$"2LkGdu?te#!#:7$$"2MkGd9-3\#!#:$"2mNrU&y>4D!#:7$$"2%oOt'4$fhD!#:$"2;LmK!pSQC!#:7$$"2OhAXI')*QE!#:$"2kQxap85O#!#:7$$"28He;G2=r#!#:$"2(3<M=F>)G#!#:7$$"2&ze<&=Ezy#!#:$"207C["Q27A!#:7$$"2e;LmKYB'G!#:$"2U$oOtOlP@!#:7$$"1'>RyJd-%H!#9$"1/3;#oU(f?!#97$$"1e:Ji[H:I!#9$"1U%)oP^q%)>!#97$$"2jBZ%*eJ?4$!#:$"2Pw_0Toz!>!#:7$$"1%pQx*G8oJ!#9$"118E-r'=$=!#97$$"2DT#['4i!QK!#:$"2ve<N!z$>w"!#:7$$"1W([(\)3#=L!#9$"1c7D]6z"o"!#97$$"1LlIhI*)*Q$!#9$"2oY$pQp55;!#:7$$"2Y!3;#QBjY$!#:$"2a>RyhwO`"!#:7$$"1Qv]^pZRN!#9$"2=Y#\[I_g9!#:7$$"2WsW*)e/2i$!#:$"2cFb5T&Hz8!#:7$$"18E_a</"p$!#9$"2oQxaCe*38!#:7$$"1:Hem](3x$!#9$"1&3<M$\7H7!#97$$"1'4>QYMO%Q!#9$"1/4=ObOc6!#97$$"1'**)z4=ABR!#9$"2V+,->yn2"!#:7$$"29C['HA*=*R!#:$"2'e<Nqx535!#:7$$"1`06A)*4qS!#9$"1rW*)y<+*H*!#:7$$"1(Qxa\Wc9%!#9$"1GhAX]bV&)!#:7$$"1%oOt")R6A%!#9$"1iJjE=g)y(!#:7$$"1Rw_0uN'H%!#9$"16OsWfUOq!#:7$$"1^-0gzhoV!#9$"1([(\*R?QJ'!#:7$$"1He;LNtYW!#9$"0rT$oYmKb!#97$$"29@U%QL=@X!#:$"1')yd:m;)y%!#:7$$"1>Qw_#Q&*f%!#9$"13=Osuh/S!#:7$$"1lHf=$o/n%!#9$"1Z.29oJ&H$!#:7$$"0*zf>$f)[Z!#8$"2w4?S!oS6D!#;7$$"16AWQU%R#[!#9$"2x)yd:wbg<!#;7$$"1jC\)RY))*[!#9$"2;Pv],O:,"!#;7$$"1pOt'>kz$\!#9$"1;JjE.e.i!#;7$$"1v[(\*>3x\!#9$"2a^7D]+=H#!#<7$$"139.D#*3')\!#9$"2m>fo\x5R"!#<7$$"20%z3bk4&*\!#:$"2w[f?"\a.\!#=7$$"1tW9&o.T+&!#9$""!!""7$$"2b+,_"468]!#:$""!!""7$$"2/29`PD6.&!#:$""!!""7$$"1OrUN)R"\]!#9$""!!""7$$"2b2:!y$Qg3&!#:$""!!""7$$"1;Ig?p$H7&!#9$""!!""7$$"1%yc8n<W?&!#9$""!!""7$$"1Fa3<=>y_!#9$""!!""7$$"2Wu[(*pRON&!#:$""!!""7$$"1w],`#o.V&!#9$""!!""7$$"0'=PCn*3]&!#8$""!!""7$$"1uZ&4zxgd&!#9$""!!""7$$"1f=Pulo]c!#9$""!!""7$$"1OqS"y%\Id!#9$""!!""7$$"20<Mo1A4!e!#:$""!!""7$$"1a3<M0=#)e!#9$""!!""7$$"2Y!4=O+^bf!#:$""!!""7$$"1(Qxaul!Gg!#9$""!!""7$$"2Ea3<W'31h!#:$""!!""7$$"2WpQxuAW='!#:$""!!""7$$"0$f=(=(pbi!#8$""!!""7$$"1)RzeZ(QJj!#9$""!!""7$$"1,+++QD0k!#9$""!!""7$$"1:JiucK&['!#9$""!!""7$$"19Fa3,hal!#9$""!!""7$$"1W([(*z&=Mm!#9$""!!""7$$"1uX"H8"**3n!#9$""!!""7$$"1.29GR2$y'!#9$""!!""7$$"0#Rycc@do!#8$""!!""7$$"1BW)o_NG$p!#9$""!!""7$$"14=OA8*H,(!#9$""!!""7$$"1V%)oPj['3(!#9$""!!""7$$"1D^-b`.fr!#9$""!!""7$$"1kFbg!*eOs!#9$""!!""7$$"16AWQR(RJ(!#9$""!!""7$$"1Y!4=YJMQ(!#9$""!!""7$$"1x^.2*3dY(!#9$""!!""7$$"1X*)yd[bMv!#9$""!!""7$$"1a2:Iz2:w!#9$""!!""7$$"1^+,-%H>p(!#9$""!!""7$$"1e:J7'[0w(!#9$""!!""7$$"1vZ&44=x$y!#9$""!!""7$$"1v\**)4*R:z!#9$""!!""7$$"0#Qw-4r#*z!#8$""!!""7$$"1(Gd9%))Qk!)!#9$""!!""7$$"1KhA&>2'Q")!#9$""!!""7$$"1@V'G#RO:#)!#9$""!!""7$$"1=Nq!\u=H)!#9$""!!""7$$"1^.29]dq$)!#9$""!!""7$$"1Z%*)yZ%*)R%)!#9$""!!""7$$"1(RzexJz^)!#9$""!!""7$$"1jD^-&*G'f)!#9$""!!""7$$"1(Gd9p,=n)!#9$""!!""7$$"03;K*RPS()!#8$""!!""7$$"17BY#48>#))!#9$""!!""7$$"1E^-0u)4*))!#9$""!!""7$$"1Rv]^sLr*)!#9$""!!""7$$"0,-/[gC/*!#8$""!!""7$$"1BY#\$R\?"*!#9$""!!""7$$"1uY$pB+[>*!#9$""!!""7$$"1(>Ry1JBF*!#9$""!!""7$$"1zb6t&GNM*!#9$""!!""7$$"1E]+,ZK?%*!#9$""!!""7$$"1=Os%H%4+&*!#9$""!!""7$$"1lFbgR`p&*!#9$""!!""7$$"005?qIXk*!#8$""!!""7$$"1f=Pu'4?s*!#9$""!!""7$$"1Je;Lx!yz*!#9$""!!""7$$"1kD^_i9r)*!#9$""!!""7$$"17AW87'="**!#9$""!!""7$$"0'=Puhd_**!#8$""!!""7$$"1F]+w#o3(**!#9$""!!""7$$"1">QwPg"*)**!#9$""!!""7$$"1$[YISLP***!#9$""!!""7$$"1uZXGkI)***!#9$""!!""7$$"2lI'QXzG+5!#9$"2e*[1jQXzG!#=7$$"2c8FzCX2+"!#9$"1$3c8FzCX(!#<7$$"2Qz3I&)f;+"!#9$"2d%Qz3I&)f;!#<7$$"2AX!4eWd-5!#9$"1DAX!4eWd#!#;7$$"2lJjEg![15!#9$"1YlJjEg!['!#;7$$"24=Osu'Q55!#9$"2n3=Osu'Q5!#;7$$"2MoOB%eY<5!#9$"2PMoOB%eY<!#;7$$"2yd:J;0_-"!#9$"2Zyd:J;0_#!#;7$$"2f9H3E([K5!#9$"2oe9H3E([K!#;7$$"2Y!4=^"*4S5!#9$"1h/4=^"*4S!#:7$$"2KjE`;Tv/"!#9$"1=LmKl6aZ!#:7$$"2kBZWEK`0"!#9$"1QOsWkALb!#:7$$"2CZ%*)=g$G1"!#9$"0CZ%*)=g$G'!#97$$"2-/3;p402"!#9$"1;S!3;p40(!#:7$$"1'=PC#)>"y5!#8$"1.'=PC#)>"y!#:7$$"2yb6Bu7^3"!#9$"1"yb6Bu7^)!#:7$$"24>QwTFJ4"!#9$"04>QwTFJ*!#97$$"2,(RzQeH+6!#9$"1,(RzQeH+"!#97$$"1(Rz3()Qz5"!#8$"2%pRz3()Qz5!#:7$$"2/29yAa_6"!#9$"2XqS"yAa_6!#:7$$"2*)yd:*pPB6!#9$"2$*)yd:*pPB"!#:7$$"2zd:"32TI6!#9$"2)yd:"32TI"!#:7$$"13;KRSRQ6!#8$"213;KRSRQ"!#:7$$"2hAX!z*pc9"!#9$"24E_/z*pc9!#:7$$"1;Kk8(GO:"!#8$"21;Kk8(GO:!#:7$$"239Gcv&\g6!#9$"2%39Gcv&\g"!#:7$$"2=Pu[^;$o6!#9$"2&=Pu[^;$o"!#:7$$"2`06A)4(e<"!#9$"2Nb5@#)4(e<!#:7$$"1&)pR90U$="!#8$"2%\)pR90U$=!#:7$$"2.3;KFU4>"!#9$"1.3;KFU4>!#97$$"2>Mo'G$o")>"!#9$"1>Mo'G$o")>!#97$$"2(**)zf))zf?"!#9$"2o**)zf))zf?!#:7$$"2y`2l'[U87!#9$"2%y`2l'[U8#!#:7$$"2')pRzNg7A"!#9$"2i)pRzNg7A!#:7$$"2KhAXO`$G7!#9$"2;8E_kLNG#!#:7$$"2b6BYY#>O7!#9$"1b6BYY#>O#!#97$$"2y`2l&4qV7!#9$"2#y`2l&4qV#!#:7$$"1jD^s6>^7!#8$"0jD^s6>^#!#87$$"1/3;KZ,f7!#8$"2//3;KZ,f#!#:7$$"2-.1i^?iE"!#9$"2<Ig?;0Am#!#:7$$"2#=OsC-gt7!#9$"1#=OsC-gt#!#97$$"1&**)z*H[<G"!#8$"0&**)z*H[<G!#87$$"2$f=P9d7*G"!#9$"1$f=P9d7*G!#97$$"1">QE]qmH"!#8$"22">QE]qmH!#:7$$"2V#['zNVVI"!#9$"1V#['zNVVI!#97$$"2E]+^?'R68!#9$"2k-050iR6$!#:7$$"1%ze<J9*=8!#8$"2/%ze<J9*=$!#:7$$"2E]+,>vjK"!#9$"2b-05!>vjK!#:7$$"2--/3,cVL"!#9$"1--/3,cVL!#97$$"2PtY$R()RT8!#9$"2vLnMR()RT$!#:7$$"2AS!3'eC&\8!#9$"1AS!3'eC&\$!#97$$"129GOv&oN"!#8$"029GOv&oN!#87$$"2a06s58TO"!#9$"1a06s58TO!#97$$"1rT$o<:>P"!#8$"14<Mo<:>P!#97$$"2h=Pu!)[(z8!#9$"29'=Pu!)[(z$!#:7$$"2)4>Q^i(oQ"!#9$"1)4>Q^i(oQ!#97$$"2jD^-GXWR"!#9$"2Nc7D!GXWR!#:7$$"2lJjE">$=S"!#9$"1lJjE">$=S!#97$$"2$Gc7+"R)49!#9$"1$Gc7+"R)4%!#97$$"1)e<NannT"!#8$"0)e<NannT!#87$$"26>QE6DZU"!#9$"2:">QE6DZU!#:7$$"1uZ&fk0AV"!#8$"1Txafk0AV!#97$$"1(Qxa#RhR9!#8$"1rQxa#RhR%!#97$$"2'3<M)4GqW"!#9$"2k3<M)4GqW!#:7$$"2)e<N&3!fa9!#9$"1)e<N&3!fa%!#97$$"2v\**[m0EY"!#9$"1v\**[m0EY!#97$$"1h@Vm^&*p9!#8$"14;Kk;b*p%!#97$$"2$He;o+@x9!#9$"1$He;o+@x%!#97$$"1$f=(Qa'\["!#8$"0$f=(Qa'\[!#87$$"2w`2l#Rq#\"!#9$"1w`2l#Rq#\!#97$$"%+:!""$"$+&!""-%&COLORG6'%$RGBG$")C)eq%!")$""!!""$"('>!\&!")-%+_ATTRIBUTEG6#/%'sourceG%,mathdefaultG-%%VIEWG6$;$""!!""$"%+:!""%(DEFAULTG-&%&_AXISG6#"""6'-%+_GRIDLINESG6$%(DEFAULTG-%)_VISIBLEG6#""$-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6'-%+_GRIDLINESG6$%(DEFAULTG-%)_VISIBLEG6#""(-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#"""-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"s6"/%'familyGQ!6"/%%sizeGQ#106"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%&TITLEG6$-%)_TYPESETG6#-I%mrowG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"66-I#msG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"6#Q9Strangle~Payoff~Function6"/%'familyGQ0Times~New~Roman6"/%%sizeGQ#126"/%%boldGQ&false6"/%'italicGQ&false6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%0font_style_nameGQ%Text6"/%,mathvariantGQ'normal6"-%-TRANSPARENCYG6#$""!!""-%%ROOTG6'-%)BOUNDS_XG6#$"$+%!""-%)BOUNDS_YG6#$"$+$!""-%-BOUNDS_WIDTHG6#$"%SM!""-%.BOUNDS_HEIGHTG6#$"%gK!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig==

JSFH JSFH Parity 2. \316\224 Parity of the Strangle Notice that the Black and Scholes command of Maple accespts linear combinations of calls, puts, cash and longs in a portfolio and performs que corresponding calculations. 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 print(); # input placeholder 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIh

JSFH Parity 3. \316\223 Parity of the Strangle 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 print(); # input placeholder 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIh

JSFH JSFHParity 4. Rho Parity of the Strangle 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 print(); # input placeholder 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

IiIh

JSFH

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= The syntaxis in Maple performs as follows: The ImpliedVolatility command computes the implied Black-Scholes volatility for a European-style option given its price. The parameter price is the option price. The parameter spot is the initial (current) value of the underlying asset. The parameter strike specifies the strike price of the option (if this is a call option or a put option). More general payoff can be specified using the payoff parameter. It must be specified in the form of an operator which accepts one parameter (spot price at maturity) and returns the corresponding payoff. The riskfreerate and dividendyield parameters are the risk-free rate and the dividend yield. These parameters can be given in either the algebraic form or the operator form. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= JSFH Step 1. Definition of Implied Volatility. Given the complexity of this expression, it makes more sense to look at it from a numerical perspective. 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

print(); # input placeholder

LUknUm9vdE9mRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiMsJiomLUkkZXhwR0YkNiMsJEkickdGJyEiIiIiIi1JJGludEdGJDYkLCQqLiNGMSIiI0YxLUkkbWF4R0YlNiQiIiEsJiomSSJTR0YnRjEtRiw2I0kjX3RHRidGMUYxIiQrIkYwRjEpRjhGN0YxKUkjUGlHRiVGN0YwLUYsNiMsJCooI0YxIiIpRjEpLCoqJClJI19aR0YkRjhGMUYxKiZGOEYxRkJGMUYxKiZGOEYxSSJkR0YnRjFGMSomRjhGMUYvRjFGMEY4RjFGUEYwRjBGMUZRRjBGMS9GQjssJEkpaW5maW5pdHlHRiVGMEZZRjFGMEkiQ0dGJ0Yx

JSFH Step 2. Choose some arbitrary values for a numerical example. 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 JSFH Step 3.Prepare a sequence of examples for different values of C LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYtLUkjbWlHRiQ2JVEmX2l2b2xGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSomY29sb25lcTtGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2Ji1GIzYlLUYsNiVRJHNlcUYnRi9GMi1GUDYkLUYjNiwtRiw2JVEySW1wbGllZFZvbGF0aWxpdHlGJ0YvRjItRlA2JC1GIzY1LUYsNiVRImpGJy9GMEY9RjktRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSC9GS1EmMC4wZW1GJy9GTlEsMC4zMzMzMzMzZW1GJy1GLDYlUSJTRidGL0YyRmBvLUYsNiVRInhGJ0YvRjItRjY2LVEoJnNyYXJyO0YnRjlGO0Y+RkBGQkZERkZGSEZkby9GTkZlby1GLDYlUSRtYXhGJ0Zfb0Y5LUZQNiQtRiM2KEZbcC1GNjYtUSgmbWludXM7RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORl1xLUkjbW5HRiQ2JFEkMTAwRidGOUZgby1GYHE2JFEiMEYnRjlGOUY5RmBvLUYsNiVRIlRGJ0YvRjJGYG8tRiw2JVEickYnRi9GMkZgby1GLDYlUSJkRidGL0YyRmBvLUY2Ni1RIidGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTExMTExMWVtRidGYXAtRiw2JVElY2FsbEYnRi9GMkZfckY5RjlGYG8tRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZkb0ZhcC1GLDYlRl5vRi9GMi1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRkpGTS1GYHE2JFEiMUYnRjktRjY2LVEjLi5GJ0Y5RjtGPkZARkJGREZGRkhGXHFGYXAtRmBxNiRRIzE1RidGOUY5RjlGOUY5LyUlb3BlbkdRIltGJy8lJmNsb3NlR1EiXUYnLUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGSkZNLUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRmVvLyUmZGVwdGhHRmZ0LyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUYsNiVRK19jYWxscHJpY2VGJ0YvRjJGNS1GUDYmLUYjNiZGVC1GUDYkLUYjNixGanJGYG9GZ3JGanJGXHNGX3NGYnNGZXMvJStleGVjdXRhYmxlR0Y9RjlGOUZpdUY5RjlGaHNGW3RGXnRGaXVGOQ== print(); # input placeholder JSFH Step 4. Plot the results 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

LUkjbWlHNiMvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0dJKF9zeXNsaWJHRic2JVE1b3V0cHV0fnJlZGlyZWN0ZWQuLi5GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRic=

%;

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NiI=

LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=

JSFH