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890b765f-9fef-41d3-8d6e-527bc60ef289 | precalculus_review | false | null | State the domain and range of the function $g\left(f(x)\right)$, if $g=\ln(x-5)$ and $f=x^2+2 \cdot x-3$.
1. Domain
2. Range | 1. Domain (with union): $(-\infty,-4)\cup(2,\infty)$
2. Range: $(-\infty,\infty)$ |
8a17e27d-7c3c-4939-ba28-be82b61891e1 | algebra | false | null | Find the area of a triangle bounded by the x-axis, the line $f(x) = 20 - \frac{ 1 }{ 3 } \cdot x$, and the line perpendicular to $f(x)$ that passes through the origin. | The area of the triangle is $540$ |
8abb05f0-96ce-4d1d-9dff-c7fa6c8cadfd | sequences_series | false | null | Determine the Taylor series for the function $f(x) = rac{ 2+x }{ (1-x)^2 }$, centered at $x = 0$.
Use this decomposition to find the sum of the series $\sum_{n=0}^\inftyrac{ 3 \cdot n+2 }{ 3^n }$.
1. Submit the Taylor series in summation notation.
2. Submit the sum of the series. | 1. The Taylor series in summation notation is $\sum_{n=0}^\infty\left((3\cdot n+2)\cdot x^n\right)$
2. The sum of the series is $\frac{21}{4}$ |
8ad2103d-d747-48b1-b491-43eafe0e61f7 | algebra | false | null | 1 cup = 8 fluid oz
1 pint = 2 cups = 16 fl oz
1 quart = 2 pints = 4 cups = 32 fluid oz
1 gal = 4 quarts = 8 pints = 16 cups = 128 fl oz
1 lb = 16 oz
1 ton = 2,000 lbs
1 kg = 1,000 g
1 metric ton = 1,000 kg
1 m = 100 cm
1 km = 1,000 m
1. A cake recipe calls for 12 cups of sugar at a bakery. How many pints is this?
2. Sandy has 1 quart and 1 pint of soda. How many cups can she divide this amount into?
3. Sonya drove 25 km to her friend’s house. What is this distance in meters?
4. What is 10 km and 90 m divided by 5?
5. What is 100 km and 60 m multiplied by 10? | 1. $6$
2. $6$
3. $25,000$
4. $2,018$
5. $1,000,600$ |
8aef53c4-bbd5-48c9-9b4b-0a53e6c60731 | precalculus_review | false | null | A certain bacterium grows in culture in a circular region. The radius of the circle, measured in centimeters, is given by $r(t) = 6 - \frac{ 5 }{ t^2 + 1 }$, where $t$ is time measured in hours since a circle of a $1$-cm radius of the bacterium was put into the culture.
1. Express the area of the bacteria, $A(t)$, as a function of time.
2. Find the exact and approximate area of the bacterial culture in $3$ hours.
3. Express the circumference of the bacteria, $C(t)$, as a function of time.
4. Find the exact and approximate circumference of the bacteria in $3$ hours. | 1. $A(t)$ = $\pi\cdot\left(6-\frac{5}{t^2+1}\right)^2$ square centimeters
2. The exact area of the bacterial culture in $3$ hours = $\frac{121}{4}\cdot\pi$ square centimeters. The approximate area of the bacterial culture in $3$ hours = $95.03317777$ square centimeters.
3. $C(t)$ = $2\cdot\pi\cdot\left(6-\frac{5}{t^2+1}\right)$ centimeters
4. The exact circumference of the bacteria in $3$ hours = $11\cdot\pi$ centimeters. The approximate circumference of the bacteria in $3$ hours = $34.55751919$ centimeters. |
8b3373eb-7660-447d-a3d1-2670f82467d0 | algebra | false | null | Admission into an amusement park for $4$ children and $2$ adults is $\$116.90$. For $6$ children and $3$ adults, the admission is $\$175.35$. Assuming a different price for children and adults, what is the price of the child’s ticket and the price of the adult ticket? If there is no solution or infinitely many solutions, write $\text{None}$. | Price of the child’s ticket: None Price of the adult ticket: None |
8b6247a5-a9f0-4677-85d6-0fa43fc2112e | integral_calc | false | null | Compute the integral:
$$
\int \frac{ x^3 }{ \sqrt{4 \cdot x^2+4 \cdot x+5} } \, dx
$$ | $\int \frac{ x^3 }{ \sqrt{4 \cdot x^2+4 \cdot x+5} } \, dx$ = $\left(\frac{1}{12}\cdot x^2-\frac{5}{48}\cdot x-\frac{5}{96}\right)\cdot\sqrt{4\cdot x^2+4\cdot x+5}+\frac{5}{16}\cdot\ln\left(x+\frac{1}{2}+\sqrt{1+\left(x+\frac{1}{2}\right)^2}\right)+C$ |
8b7e6efd-90e3-4e26-b471-667e39dd9a32 | sequences_series | false | null | Expand the function $f(x) = \ln(1 + 3 \cdot x)$ given on the interval $[0,1]$ in powers of $x$ using the Maclaurin formula. Estimate the error allowed with the retention of the first ten members.
Submit as your final answer:
1. the resulting expansion of the function (the first ten terms)
2. the estimate of the absolute value of the remainder term (in the form of an inequality for $\left|R_{10}(x)\right|$) | 1. $3\cdot x-\frac{(3\cdot x)^2}{2}+\frac{(3\cdot x)^3}{3}-\frac{(3\cdot x)^4}{4}+\frac{(3\cdot x)^5}{5}-\frac{(3\cdot x)^6}{6}+\frac{(3\cdot x)^7}{7}-\frac{(3\cdot x)^8}{8}+\frac{(3\cdot x)^9}{9}$
2. $\left|R_{10}(x)\right|<\frac{3^{10}}{10}$ |
8b909199-f22e-4b2b-90ae-f1b0e119b9d9 | differential_calc | false | null | Sketch the curve:
$y = 2 \cdot x \cdot \sqrt{3-x^2}$.
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $\left[-1\cdot3^{2^{-1}},3^{2^{-1}}\right]$
2. Vertical asymptotes: None
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: $\left(-\sqrt{\frac{3}{2}},\sqrt{\frac{3}{2}}\right)$
6. Intervals where the function is decreasing: $\left(-3^{2^{-1}},-\sqrt{\frac{3}{2}}\right)$, $\left(\sqrt{\frac{3}{2}},3^{2^{-1}}\right)$
7. Intervals where the function is concave up: $\left(-3^{2^{-1}},0\right)$
8. Intervals where the function is concave down: $\left(0,3^{2^{-1}}\right)$
9. Points of inflection: $P(0,0)$ |
8bd83256-3c7f-4a4b-ad1f-87f947730691 | algebra | false | null | What is the domain of the function $f(x) = \ln\left(\frac{ x+2 }{ x-4 }\right)$? | Domain: $(-\infty,-2)\cup(4,\infty)$ |
8c68f718-98e2-4c2d-9e87-c355ae28f2ea | algebra | true | 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 | Write a logarithmic equation corresponding to the graph shown. Use $\log_{3}(x)$ as a parent function: | The final answer: $-3 \cdot \log_{3}(x+4)$ |
8c977a56-0dd0-452c-9507-031e63011412 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ 1 }{ (x-3) \cdot \sqrt{10 \cdot x-24-x^2} } \, dx
$$ | $\int \frac{ 1 }{ (x-3) \cdot \sqrt{10 \cdot x-24-x^2} } \, dx$ = $-\frac{2}{\sqrt{3}}\cdot\arctan\left(\frac{\sqrt{-x^2+10\cdot x-24}}{\sqrt{3}\cdot x-4\cdot\sqrt{3}}\right)+C$ |
8cc80a73-8f2b-490b-8f2e-0cf11834ea21 | algebra | false | null | Using properties of radicals and the absolute value, simplify the expression $\sqrt{(x-y)^2} + \sqrt{(x+y)^2}$, where $x < y < 0$. | The final answer: $-2\cdot x$ |
8d24c570-5597-4967-ba58-6b5af6e1e85e | integral_calc | true | data:image/png;base64,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 | Consider the cycloid given by the parametric equations $x=2 \cdot \left(t-\sin(t)\right)$, $y=2 \cdot \left(1-\cos(t)\right)$.
Find the area of the surface obtained by rotating the arc BA about the segment BC. | The final answer: $32\cdot\pi^2-\frac{128\cdot\pi}{3}$ |
8d2643dd-829b-4a4a-b78d-e0c6848f2841 | sequences_series | false | null | Find the sum of the series $\sum_{n=1}^\infty \frac{ 10 }{ n \cdot 9^n }$. (Use the formula $\int_{9}^\infty \frac{ 10 }{ x^{n+1} } \, dx = \frac{ 10 }{ n \cdot 9^n }$) | The sum of the series is $-10\cdot\ln\left(\frac{8}{9}\right)$ |
8dabdac9-77f4-4a39-92ec-c565b196b0be | sequences_series | false | null | Find the Fourier series of the function $\varphi(x) = \frac{ x }{ 2 }$ in the interval $(0, 4 \cdot \pi)$. | The Fourier series is: $\pi-2\cdot\sum_{n=1}^\infty\left(\frac{\sin\left(\frac{n\cdot x}{2}\right)}{n}\right)$ |
8dcadc48-f57b-4ebc-b575-e1fceda25c89 | differential_calc | false | null | The function $s(t) = \frac{ t }{ 1+t^2 }$ represents the position of a particle traveling along a horizontal line.
1. Find the velocity and acceleration functions.
2. Determine the time intervals when the object is slowing down or speeding up. | 1. The velocity function $v(t)$ = $\frac{1-t^2}{\left(1+t^2\right)^2}$ and acceleration function $a(t)$ = $\frac{2\cdot t\cdot\left(t^2-3\right)}{\left(1+t^2\right)^3}$
2. The time intervals when the object speeds up: $\left(1,\sqrt{3}\right)$ and slows down: $(0,1)$, $\left(\sqrt{3},\infty\right)$ |
8de12a65-a325-45b3-b86c-d9327d068269 | algebra | true | 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 | Write an equation for the line graphed: | The final answer: $y=\frac{2}{3}\cdot x+1$ |
8e26c21d-1782-4463-9be9-fc1f41ec42de | algebra | true | 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 | Write an inequality for the graph below: | The final answer: $x>-2$ |
8e912fc9-defe-413f-b6d3-5cfb90d96f38 | differential_calc | true | 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 | Given $m(x) = g(x)^2$, find $m'(0)$ using the table below: | $m'(0)$ = $2$ |
8ed07eb3-4736-4693-9638-4781d9193407 | differential_calc | false | null | Compute the derivative $y^{(5)}$ of the function $y = 2 \cdot e^{3 \cdot x} \cdot \sin(2 \cdot x)$. | $y^{(5)}$ = $2\cdot e^{3\cdot x}\cdot\left(122\cdot\cos(2\cdot x)-597\cdot\sin(2\cdot x)\right)$ |
8f05372e-7586-4a77-85f9-3ca1cd925a12 | sequences_series | false | null | Compute $\sqrt[3]{130}$ with an estimate error of $0.0001$ using series expansion. | The final answer: $5.06577778$ |
8f13f29c-a3fe-4521-89ee-432b3b7d5ed5 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ 2 \cdot x-1 }{ \sqrt{8 \cdot x^2+4 \cdot x-10} } \, dx
$$ | $\int \frac{ 2 \cdot x-1 }{ \sqrt{8 \cdot x^2+4 \cdot x-10} } \, dx$ = $\frac{1}{32\cdot\sqrt{2}}\cdot\left(16\cdot\sqrt{4\cdot x^2+2\cdot x-5}-24\cdot\ln\left(\left|2+4\cdot\sqrt{4\cdot x^2+2\cdot x-5}+8\cdot x\right|\right)\right)+C$ |
8f3e187e-dcfc-479d-9104-540e57d7be99 | multivariable_calculus | false | null | Find the area of the region bounded by the parametric curves and the indicated values of the parameter:
$$
x = a \cdot \sin(2 \cdot t), \quad y = b \cdot \sin(t), \quad 0 \le t < 2 \cdot \pi
$$
(the "hourglass"). | Area = $\frac{8}{3}\cdot a\cdot b$ |
8f690d9e-e47c-419a-a0c6-501cdbbca4e6 | algebra | false | null | In 1991, the moose population in a park was measured to be $4360$. By 1999, the population was measured again to be $5880$. Assume the population continues to change linearly.
1. Find a formula for the moose population, $P$, since 1991.
2. What does your model predict the moose population to be in 2003? | 1. Formula for the moose population, $P$, since 1991: $P(x)=190\cdot x+4360$
2. The moose population in 2003 is expected to be: $6640$ |
8f82c5f0-1ecd-4d00-8c0e-b8c9e1a7ad90 | sequences_series | false | null | Compute the first 3 nonzero terms (not necessarily a quadratic polynomial) of the Maclaurin series of $f(x) = \tan(x)$. | $f(x)$ = $x+\frac{2\cdot x^3}{6}+\frac{16\cdot x^5}{120}+\cdots$ |
8fb4ae73-b484-4e5b-83e1-63c32bb2efc3 | integral_calc | true | data:image/png;base64,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 | Cycloid: $x=2 \cdot \left(t-\sin(t)\right)$, $y=2 \cdot \left(1-\cos(t)\right)$.
Find the volume of the solid obtained by rotating the region between the cycloid and the horizontal segment DE about the segment DE. | The final answer: $8\cdot\pi^2$ |
8fc3bd1c-13b7-471f-9322-776baac389e1 | algebra | true | 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 | The graph below illustrates the decay of a radioactive substance over $t$ days:
Use the graph to estimate the average decay rate from $t=10$ to $t=15$. | The final answer: $-\frac{2}{5}$ |
8fcf4e59-7b1e-49f5-8488-d5954886c295 | precalculus_review | false | null | What are the vertical asymptotes of the function $y = \frac{ x+11 }{ x^3-x^2-4 \cdot x+4 }$? | The final answer: $x=1$, $x=2$, $x=-2$ |
90210875-aaa6-4978-a184-5a61920a39af | algebra | false | null | Rewrite the quadratic expression $x^2 - 8 \cdot x + 12$ by completing the square. | $x^2 - 8 \cdot x + 12$ = $(x-4)^2-4$ |
90671435-0bf7-4bc4-a6dd-f90685c72cc8 | multivariable_calculus | false | null | Consider the solid $Q=\left\{(x,y,z)|0 \le x \le 1,0 \le y \le 2,0 \le z \le 3\right\}$ with the density function $\rho(x,y,z)=x+y+1$.
1. Find the mass of $Q$.
2. Find the moments $M_{xy}$, $M_{xz}$, and $M_{yz}$ about the xy-plane, xz-plane, and yz-plane, respectively.
3. Find the center of mass of $Q$. | 1. $m$ = $15$
2. $M_{xy}$ = $\frac{45}{2}$, $M_{xz}$ = $17$, $M_{yz}$ = $8$
3. $x_{0}$ = $\frac{8}{15}$, $y_{0}$ = $\frac{17}{15}$, $z_{0}$ = $\frac{3}{2}$ |
907057c7-a356-467e-832c-4b6de6fcc70f | sequences_series | false | null | Find the Taylor series of the given function $f(x) = \frac{ 1 }{ (x-1)^3 }$ centered at the indicated point: $a=0$. | $\frac{ 1 }{ (x-1)^3 }$ = $\sum_{n=0}^\infty\left(-\frac{(n+2)\cdot(n+1)\cdot x^n}{2}\right)$ |
909a083c-86c1-4a08-a915-cd659e8dba34 | differential_calc | true | 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| The graph of $f(x) = 2 \cdot \cos(x)$ and its tangent line at $x = 0.5$ are shown in the graph above. At what $x$-value on $[\pi, 2 \cdot \pi]$ does this tangent line intersect $f(x)$? | $x$ = $3.877$ |
90da470f-024e-4d4e-b939-1df2b667308e | integral_calc | false | null | A square with side $a$ rotates about a straight line passing through its vertex and forming an angle $\varphi$ with its diagonal $\frac{ \pi }{ 4 }<\varphi<\frac{ \pi }{ 2 }$. Find
1. the volume of the solid of revolution and
2. its surface area. | 1. Volume of a solid of revolution = $a^3\cdot\pi\cdot\sqrt{2}\cdot\sin(\varphi)$
2. Surface area = $4\cdot a^2\cdot\pi\cdot\sqrt{2}\cdot\sin(\varphi)$ |
90dcc4bb-7321-49a5-aa27-04df408d3f0a | precalculus_review | false | null | 1. Find the inverse function of $f(x) = \sqrt{x-1}$. Format: plain expression $(e \cdot t \cdot c)$; not in the form $f(x)^{-1}=(e \cdot t \cdot c)$ | 1. the inverse function is : $x^2+1$
2. the domain of the inverse function is: $[0,\infty)$
3. the range of the inverse function is: $[1,\infty)$ |
91415c33-05ca-4717-8eb8-4df884126666 | multivariable_calculus | false | null | Evaluate the integral:
$$
\int_{0}^1 \int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} \int_{-\sqrt{1-x^2-y^2}}^{\sqrt{1-x^2-y^2}} 1 \, dz \, dy \, dx
$$ | $\int_{0}^1 \int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} \int_{-\sqrt{1-x^2-y^2}}^{\sqrt{1-x^2-y^2}} 1 \, dz \, dy \, dx$ = $\frac{2\cdot\pi}{3}$ |
916f0c76-f81f-43a8-a8e3-caa1bf8b1234 | precalculus_review | false | null | Solve the equation:
$$
\tan\left(\frac{ \pi }{ 4 }+x\right)+\tan\left(\frac{ \pi }{ 4 }-x\right)=2
$$ | The final answer: $x=\pi\cdot n$ |
91934c6d-cc08-4260-8ad1-b4feddcc83c0 | sequences_series | false | null | Suppose that we have the series: $1-\frac{ 1 }{ 2^2 }+\frac{ 1 }{ 3^2 }-\frac{ 1 }{ 4^2 }+\cdots$ . Find the smallest $n$ - number of members of the series such that the accuracy of the partial sum is equal to:
1. $0.01$
2. $0.001$ | 1. The smallest $n$ for an accuracy of $0.01$ is $n=10$
2. The smallest $n$ for an accuracy of $0.001$ is $n=31$ |
9193b949-7ca7-4677-9f0c-348d0f834158 | multivariable_calculus | false | null | Electrical power $P$ is given by $P = \frac{ V^2 }{ R }$, where $V$ is the voltage and $R$ is the resistance. Approximate the maximum percentage error in calculating power if $120$ V is applied to a $2000$-ohm resistor and the possible percent errors in measuring $V$ and $R$ are $3$% and $4$% respectively. | The maximum percentage error is: $0.1$ |
91977d68-1456-4183-adfa-842c006b5f66 | integral_calc | false | null | A tank initially holds 100 gallons of soapy water, containing 5 oz of soap. At $t = 0$, more soap solution is poured in containing 10 oz of soap/gallon at a rate of 1 gal/min. Allowing for the even dispersal of the soap, the new solution leaves the tank at the same rate. Find the amount of soap in the water after 5 minutes. | $y=53.5267$ oz of soap |
91c84b88-d4a5-463f-8f32-094eb4c841e8 | multivariable_calculus | false | null | $E$ is located inside the cylinder $x^2+y^2=1$ and between the circular paraboloids $z=1-x^2-y^2$ and $z=x^2+y^2$. Find the volume of $E$. | Volume = $\frac{\pi}{4}$ |
91d22b7a-9491-435e-8a92-9e52cb7e9722 | integral_calc | false | null | Compute the integral:
$$
3 \cdot \int \cos(3 \cdot x)^6 \, dx
$$ | $3 \cdot \int \cos(3 \cdot x)^6 \, dx$ = $C+\frac{1}{4}\cdot\sin(6\cdot x)+\frac{3}{64}\cdot\sin(12\cdot x)+\frac{15}{16}\cdot x-\frac{1}{48}\cdot\left(\sin(6\cdot x)\right)^3$ |
9242ceb3-9913-44c4-9a79-9c36913afcf5 | integral_calc | false | null | Find the antiderivative of $-\frac{ 1 }{ x \cdot \sqrt{1-x^2} }$. | $\int \left( -\frac{ 1 }{ x \cdot \sqrt{1-x^2} } \right) \, dx$ = $C+\ln\left(\frac{1+\sqrt{1-x^2}}{|x|}\right)$ |
925200bc-9dcf-43a2-a770-f9d440c8fde7 | sequences_series | false | null | Find the expansion in the series of the integral $\int_{-1}^x{\frac{ \arctan(x+1) }{ 2 } d x}$, using the expansion of the integrand in the series. Find the radius of convergence of the series. | 1. $\int_{-1}^x{\frac{ \arctan(x+1) }{ 2 } d x}$ = $\sum_{n=1}^\infty\left((-1)^{n+1}\cdot\frac{(x+1)^{2\cdot n}}{2\cdot2\cdot n\cdot(2\cdot n-1)}\right)$
2. The radius of convergence of the series is $R$ = $1$ |
92592e99-1480-414d-adec-74ea8c5e5cf0 | differential_calc | false | null | For the curve $x = 10 \left(t - \sin(t)\right)$, $y = 10 \left(1 - \cos(t)\right)$, determine the curvature. Use $a=10$. | The curvature is: $\frac{1}{40\cdot\left|\sin\left(\frac{t}{2}\right)\right|}$ |
92b966b7-4e50-4d96-9376-c3c6dcb81e4c | algebra | false | null | The equation $N(t) = \frac{ 500 }{ 1+49 \cdot e^{-0.7 \cdot t} }$ models the number of people in a town who have heard a rumor after $t$ days. To the nearest whole number, how many people will have heard the rumor after $3$ days? | The final answer: $71$ |
92d0c85f-a21e-4302-9801-d7e8c9790921 | differential_calc | false | null | Given positive numbers $a$, $b$, $c$, and $d$, find the minimum value of
$$
S = \frac{ a }{ b+c+d }+\frac{ b }{ a+c+d }+\frac{ c }{ a+b+d }+\frac{ d }{ a+b+c }+\frac{ b+c+d }{ a }+\frac{ a+c+d }{ b }+\frac{ a+b+d }{ c }+\frac{ a+b+c }{ d }
$$ | The final answer: $\frac{40}{3}$ |
92e573f9-cc18-40bc-b29d-0ba759d3e439 | multivariable_calculus | false | null | The electrical resistance $R$ produced by wiring resistors $R_{1}$ and $R_{2}$ in parallel can be calculated from the formula $\frac{ 1 }{ R }=\frac{ 1 }{ R_{1} }+\frac{ 1 }{ R_{2} }$. If $R_{1}$ and $R_{2}$ are measured to be $7$ ohm and $6$ ohm respectively, and if these measurements are accurate to within $0.05$ ohm, estimate the maximum possible error in computing $R$. | Maximum possible error: $0.02514793$ |
933b8421-ac5a-42d2-b82e-e63ad0558b26 | differential_calc | false | null | Make full curve sketching of $f(x) = 2 \cdot x^4 - 9 \cdot x^2 + 1$. Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation) $(-1\cdot\infty,\infty)$
2. Vertical asymptotes None
3. Horizontal asymptotes None
4. Slant asymptotes None
5. Intervals where the function is increasing $\left(-\frac{3}{2},0\right)$, $\left(\frac{3}{2},\infty\right)$
6. Intervals where the function is decreasing $\left(-\infty,-\frac{3}{2}\right)$, $\left(0,\frac{3}{2}\right)$
7. Intervals where the function is concave up $\left(-\infty,-\frac{\sqrt{3}}{2}\right)$, $\left(\frac{\sqrt{3}}{2},\infty\right)$
8. Intervals where the function is concave down $\left(-\frac{\sqrt{3}}{2},\frac{\sqrt{3}}{2}\right)$
9. Points of inflection $P\left(-\frac{\sqrt{3}}{2},-\frac{37}{8}\right)$, $P\left(\frac{\sqrt{3}}{2},-\frac{37}{8}\right)$ |
934fefb4-70ba-4517-ab07-99579571e7ef | sequences_series | false | null | Compute $\sqrt[3]{130}$ with accuracy $0.0001$. | The final answer: $5.0658$ |
937205ca-c4c2-443a-ab47-6328853a6f8d | precalculus_review | false | null | Solve the equation $2 \cdot \left(\cos\left(\theta\right)\right)^2-\cos\left(\theta\right)=1$ for $0 \le \theta < \pi$. | $\theta_{1}$= $0$
$\theta_{2}$= $\frac{2\cdot\pi}{3}$ |
93b1e997-c9d2-4bab-b323-c40da9c713e0 | sequences_series | false | null | Find the interval of convergence and the sum of the series:
$$
2 + \frac{ 1 }{ 2 } \cdot x \cdot (1-x) + \frac{ 1 }{ 2 } \cdot x^2 \cdot (1-x) + \cdots + \frac{ 1 }{ 2 } \cdot x^{n-1} \cdot (1-x) + \cdots
$$ | 1. Interval of convergence: $(-1,1]$
2. Sum of the series: $S(x)=\begin{cases}2+\frac{1}{2}\cdot x,&-1<x<1\\2,&x=1\end{cases}$ |
940eb2b8-f3aa-4480-8207-ee5cbc46798c | algebra | true | 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 | Using the given graphs of $f(x)$ and $g(x)$, find $f\left(g(1)\right)$. | $f\left(g(1)\right)$ = $2$ |
94b890f5-893e-44cf-840c-4b1908cfce47 | algebra | false | null | Find the formula for an exponential function that passes through the two points: $P(3,1)$ and $P(5,4)$. | $f(x)$ = $\frac{1}{8}\cdot2^x$ |
955b81aa-a7d4-4f0b-9a5f-7b40054eb1f2 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ x }{ \left(x^2-4 \cdot x+8\right)^2 } \, dx
$$ | $\int \frac{ x }{ \left(x^2-4 \cdot x+8\right)^2 } \, dx$ = $C+\frac{x-2}{2\cdot\left(8+2\cdot(x-2)^2\right)}+\frac{1}{8}\cdot\arctan\left(\frac{1}{2}\cdot(x-2)\right)-\frac{1}{2\cdot\left(x^2-4\cdot x+8\right)}$ |
95ca9e6d-4b7a-44d3-babf-fd979af414a1 | multivariable_calculus | true | data:image/png;base64,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 | A boy applies the brakes on a bicycle by applying a downward force of $20$ lb on the pedal when the $6$-in. crank makes a $40^\circ$ angle with the horizontal (see the following figure). Find the torque at point $P$. Express your answer in foot-pounds rounded to two decimal places. | The torque at point $P$ is: $7.66$ foot-pounds |
964be4bf-120c-4f5d-b745-9f5ff7b4993b | multivariable_calculus | true | 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zr60NEYazs7e1FxFwuVygUBEnMZrMtLS3pdFqYIFtbW5vRw0g/lzXFRmy4Vw4UriHgBZfIy1Qqlb7//e9nMpl77rmnu7vbVhIR+fT0zCtHTp6tFkLu1fO94OfIEDSVoxRA4JbcDyuI14vv0riZdCYCR2LCyeIBIHBS3BJJ2BrlrwbLEWTKFCxWGzPD5ZNDs/n0yQ39nf29nT3d7Z0dne3tbYVCgSGTc0wunAnwwsg5YYHNzkTSh0gQDxF1dHQMDAzYHmrxNwzDkZGRWq02MzMzPz8vzI4iwlFMlM7n8yI6hzHW2dnp+74gjIVCIZvNFrRpNpfL5/PxxRLsTsJytsh4MNNqlTUEvOASeY1eeOGF559//r777tuxY0ckCjcM+cGDB0/M8fkwQ+A1WtZJt62oRBA2RB6jbQmGHvdw9OgyLzfqeBpViJC4cFYjkYcExDmQJw1+DMBvgMdZug6NchDODy8cPzud8YL1PZ19fd39vV1dXR3t7R2FQsHzIMloeenKOaFAoqYJMb1VcEbf9yOV235qANDe6nq9LiYIzs7OCgq5sLCwsLAwNzcn0kEKSaVSYkO4pwUOCv+1IJLZbFbo2ondjtDAKwH+YA0B32AZGRn5wQ9+cM0119xxxx2RUFsCmJqaPnTs9GA13wAfCJHZblZjv0scZtH31dlv9OREncjaae8nBBFtw4URkYAzAkRC4ogknciEQByUh4PA48jqwALM1INGZaw0OD6X8Y6t6+vs7+nu6+vu6enuaG9fgqFcUrIECpwTRVrRI1PImDh5RiSbiMvi4uLU1FS5XJ6dnV1cXJybm1tcXBRZyxBRWBjtOTC5XC6VSnV2duoQn0KhIICypaUFXDRc4dVd1rKGgG+cBEHw4x//eHZ29iMfuW/Dhg2RF4yH4cGXXz0xw4tBlhgiEvAGMZ+hB9KVQNoN4roy0GyhMQJGYS7anTht1Oo1ARAiMeIAoi+kdupTEZGQJC8F4gxBzEQRkYuAjLx0g/yQgiAIB4cXz47M5tIn1vX39Pd29fZ2d3V2dnZ25nLZaC8SfNqX4lC8cACR6KVNzG4LAO3t7evXr497Y+r1+tzcXLlcnpmZWVxcLBaLgjYKLiniFgEgnU43Go2WlhYNl93d3WIeIWOsu7tbWBtVuMIqlDUEfOPkwIEDzz777B133HHddXs8z1PBezJZ1eTk5KETZwYrmYB8IEAGqdIYz3Vxr0XxP0Jgti8kUr/eQdHdChFtJiLK2Zqa2EuCMZKI3GOASIRIyEmTSQQE4oIrIHHBDQFVai1S9Qv0BAbIQvKIUuVacPrM9NmzE4Wc39vb1d/f09vb09Pd3dnZsXwI8SWKhBdZtJ867i/u6urSmBgBx5mZmXq9Pj4+LuLAG43GzMzMzMxMrVYrFAoCE0Ul2Ww2DMNCoZDJZAQ4rl+/njG2bt06EeLTLPL8cpE1BHyDZGpq6p//+Z+7urruuuuu9vZ2AACThI/CkL9y8NUTM42FsEAKndKliYaf4ekWZJJ6kaucSIVFBkVLITRgFw180dLEMWgdwCYBhVZpkppvc0VRpngAEHDpCStiSHyxVF8sjQ8Njbe0ZPp6e/rX9fX09PT19RYKeWbc08JrItO36mvU3VrDwyVE0MbEQxocd+7cCcraKMBRUMVyuTw9Pc05P3v2LAAInToIgqGhoVKp1NnZ2Wg08vm8qC2XywmSWCgU2tvbs9lsd3d3Npvt6FjBV+0SkMugi6tAgiB4+OGHh4eHf+VXfmXbtqtkiJwhYDgxMf7qyaHBcq7OfWAisJgYcZ0qX3lCHESTWquzMyF5gY4ENFWpuBo3LlBMKEYQCWYkfhFKeqcrUztBKOYEAMwJtiFrCxVrJRAqMjIiIkwx8IKQz83VivNnB08Pd3S29vX19Pb19Pf1dXV15XM5Y7vU2rns55q8JtHg6Pt+xN4nwmvsyYICHAFgfn6+WCzOzc2VSqVKpTIzMxMEgVhLa2JiIpVKhWHo+z7n3PO8MAwZY62trZ2dnWIeYasSMZsw0qWLaHZcQ8A3Qo4ePfrzn//8+uuvf/Ob35xOp0kjiNQ44dVXD5+YaRTDXIiMIVFEmwQAaXiTG3KXhaJy0lss7o+sGbtg1aXr0X/VhDbRCKHppNgmrR2LuSugjIMaEFFmWyV1CAC4RlSQp4eAHBRsIqSQeNgIp8dnpyemT+dOd/d29fT2rFvX39fX197eZniEpQVfZlGFl7BEcEcHfovbbqd+EFlpBSDqv2EYBkEwPT1dq9WKxWKpVFpcXJyfnxc2R4GYjDHOuVhzVVfe0tIiLJhvetObRNjjG3XFUVlDwAsui4uLP/zhD33fv+eee3p6egBA6ZhyIE/PTB89PXK2nG2AjwghiVR5HGWyKwBQszTUL+HyAP0Gk/GAxD6nMQ9yk5fN5YmApA1/EtGYNgICl/ovqRnICEScAQGS2ilgjwQqIyBAaNFDGzoRgQF4SKxWrg8Pjo4Njw22ne7q7e5f179+/bre3t5sNtu842vyRsgSOnVbW5vYsMGRcy481NVqdX5+vlqtFovFcrlcLBYrlUqxWPzFL35BRJ///Od7e3vf2EtxZA0BL7g89dRTr7766r333rtr1y65tIU8Im1thw4fOTFdmw9aA/AYgU4SgwAq3QskDP8mnl6X650rbAi/h4pCFNSP7GpsMggK46IqsOqxgG1NKqVZEKVLmUASSd1ZRPAAOGvQ4sz8wszc6NmhU52dPf2969evW79ufXt7m+d5kLze05pccElM4gDNk020tLSIiTE2MoqNF1988bnnnjt16tTc3Fxi/W+YrCHghZXBwcGHH3746quvvuuuuwSRcV2aODMze+T44JlFr0EeQwQkJnMKsHqhL/TzTunEIFtgK4vvayoJrx0pjmepuuKA3onKCLiEm1b6dCxzptjW4AgAQFyCIkl4ZQhADIiHi9Xp0sjs2MTIqTPt3V0bNm3YuGljT3d3OhWN6V2TCyTN5ravJHC6mTemUqkcPHiw0Wj09/cLI+OyVV04WUPACyjlcvmBBx5YWFj48Ic/vGHDBgVYEjAIAAGPHj1xfKIyHxQ4IAAHYATEwCOAest68NLKsxt9OdCEuay0P+oNSzhBJ3LRLI+BdvWS9MIo5VcCmVKBmXTTSMIImhgSAHBRXDBB5VGRN0BaFVEzStkXImLS+cuQONQb5emZxemZ6ZHRU8dPdPX2DAwMbNi4sZDLIWrLp12xsGVS/KatybnKhZgi8vzzz+/fv//GG2+cnZ19veo8b1lDwAsoL7300ssvv3zzzTfv2bPHJBchkQMBEHBhYfHUqcHBBa9KKUBPgQIDIEbEUznmvoIE1swQE7GyRNhKlJ2pABrnp9jSQIIqAYO0NZLeLw2NTGKZrEYruZYKTEhW1yy3CZFyi5g0D6AAMYJYxJShkHGOQGFxfmZhYWZkZPzs2c7e3nWbNl01MNDe3sY8BqA82YSEXJkxjb9pLZ7wEpHx8fFHH320s7Pzne98509/+tOL3Z01BLxgMjY29uCDD7a2tt5zzz3CVCxFW80oHBwcPDFRmg0yAXgowo8RCBkgR/KQiNDTQKOCYVy3RkSazI3T0szUoiP7FLpy+ZOM90OWkyyvmZB1FoFYvIlsOCTRgr4NTm8smFKwJdzGCMB9ghQPqRpURsdLk1OTZ4fOHD2+YcvAwMBAT2+373sAQMZyqjEw2siaXCzRYWH333//wMDApTDxbg0BL4iIDIATExMf+chHNm/eHHHOChSp1YMjx04em4MKpaRLgTEQyUmJACm1OB7mWiFd0PY0cLN6SA8wMdD5Y0BhmHYWiyZX8Kqh9OqSXBcJCIBrBoh6Wp5UXUl1ZmkGKvif9COTACWNjwiqQlUeCUn7YfReAuAeAZMuEPSAU6MWzjSmZmfnJsZOHD++buOmLVs2D2za6Imc1UQKY9Wfiz/W1gQOHDjwxBNP7N69+7bbbrsUVGBYQ8ALJIcOHXriiSd27Nhx2223RacrAQAAApwePHNsZHaq5gfgi6XKxREEQmSAmCqNg8/CdCHRopVo5YoqlgDg2hB1UCE4DhPVL7QRSlSirHUAjEDrtsrqJ9YvIR0cY10iyCnGKM4mbaBDRAAOOlxGdNyc60CqMk2Kfsn5MkjcA/AwBCI+P1Muzp2emBg5derwunW7dly9ZesW32OqcZQ5XtdA8GLLzMzMT37yk2w2+4EPfKCzs3MNAVetFIvFRx55hDH2nve8p6OjI3acECAIwpMnTp6YDSs8C8AJxeq/TOdEBwIMaih5FtOx0FE2R8yp1xrm5BZM9BdHrYQA0gei3RqknBgamBCVjU2fTwYEJWYBAgIS48otofigCPe2WtSqMUVmnth1ApFSzIUbGoHA4wQIHlEagrA8G1SKw5PjsyPDr7zat23b1u1XX5XJ5kAbIS8FjesKliAIHn/88cOHD3/oQx+66qqrLp2nsYaAr788++yzBw4cePe7371z586E/AWAQHx4eOTY8PR4NdUAH1DAhAdixTeOIPIxS/rCtH1O1tDEFOjGS0NimSRBh3YRB+BKyeVoA6lQUUnr8aJ+HSXDleUNGHBEOT9EarUoAwPVhEDZWMz74VyPKkUMiCkiCZJLEkdAAg+RgPvEfSK/ugBj5enJ0bnhoSNHju3cuWPXrqtTqYxoPW4VXZM3TI4fP/7kk0/u2rXr7rvvjicovIiyhoCvs5w8efLRRx/dtGnTu971LhEAmCDITpw6fWyyvhjmCKUNTwVdARPrnXsYcWEmgamz/JvNEJPT4mOcGFrbkUhF7YtAHfRHls+XEs9S1VoqOEkNlBQ+IridI23nFJ6TWNdRmiQREDjJdfPE0p/IiYARIDACSgHHkKfCejBdXZybeHFi9MiRQ5s3D+zZc93lkpFwVUqxWHzooYemp6c//vGPd3d3X+zuOLKGgK+nlMvlRx55ZGxs7Ld+67fUBDgpGigIYHJi8vSZsdGS1wAfxIBnkrMBITDGkHEkhBCAJQa1CUcHWRlTIiLjZkhNSBNn6dg5F0yFSwIRGBCTGbEAlM2OEYhIQAThi+BMxgYSIgGq9KgyjT4HAeRA4n8IHFDPF+agAwClI8SKE7RCrJWzhevJeaBsgiQWfBf2RZI6rqaTgmrmeJjlQTA1VJ+ZeHVo6MjRY7t27tA4GFnDk1TQD5mp2vYTW5NzkMRggxdffPHgwYN33XXX7t2742tOXVxZQ8DXU/bv379v374777zzxhtvjDxpy3BGZwZPHxsvFYOsyqgHKqMLAwZAHBAYEPdbwPMAQafF1yyPSGVLbeaJVfa5SAGkKA00fUPlaUBiJI2AhrXpfyoaBlXzzMoRHaFvigsSkUq4L+OubZHul6UBxzIRmj0q/pB0hDaAtA8yCtMcPaqmipXa4syr05NHjh7dtXPXnj3XFgo5sXadoKWEXMTbSD5LBIhrOvP5ibJjm5t36tSpH//4x93d3b/0S7/UVCu6eLKGgK+DiEc+Pj7+k5/8xPO8e++9V2dPi8viYvnU2ZHBIlQhJRIqo17rHDgjRsxDQE5U7dwOfpbi3g9QnNFic8SSB+zKTc5R8HI3TASOnNkW0Zm5hiamCCMAgZryJOCSkU43DcrXgZL6oe0ONs5oixhavbJ38mjXORIg9wEByIeQOKU5D+dG68XpV2bGDx09cu2ua/ZctytfaBEYzkAEaqMkySj56BoFPD+xX7lKpfLYY4+NjIx89rOf7enpuXQcIFrWEPB1EEQMguDnP//50aNHf+M3fmPjxo1LPOkzZ84eGS3OByku5/MqDUwRPFLRyDzdyhI5HrOsftbywcZDoo2B5LBH0CGErtFQap1AKLRUY/KTLhGZJlrsl3sAGI/1jts/hFLMTCIDTLAkukZGplRdSev0HRaRN6CnQisrpE7Nr5ipaAa5ILQcOXrEELkHQZqC7GylVJw6ODV+8sTJPTfsuWbndi+VRulbFixVs941OU+xOeDBgweff/75t73tbTfffLNWXy4pHFxDwNdHjhw58vjjj+/evfvOO+9skkeIACAIwjNnzpyebpSoBQgYhoQeaRWMhOOXcYaIyHiIzNOWuwTnL8U12iTRWVNxKUooJ+fqCbxEKGIAdXo/cEMFCRC4VoEZCLevmDpigaPYNtRPnpu4rXpi/saElGVQ8DY9AVkFygjuxhiEASPGkIiFFIYMGFGQBeYHYWNuuLE4u3dy5MDBV990/XU7dlydSqWImMpao1MlXkID9TIS/Y5NTEz85Cc/4Zz/0i/9UmRdsEtH1hDwdZCZmZmf/vSnpVLpl3/5l7X+66YSEmnicXR07NTozHTVa3APJMET9EpO7wACRA95iIh+dRpSrTztKNSC1YksUs36o1Yv0jOIVTeajGm9vJE6R00FcU5Q8XpqXoo1L5hHawNw2atASW1bk0zQJGJwYgQ15pLtBoFY59ExKVofA2LAA2SMQ4ghRwTyPOLcI48AUhR4yNONRna6UixOPzU59PKrW95885uu3nYVkY4IT7SXrsnyol/7IAiefPLJ/fv3/9Zv/da6devsT+8lRQPXEPB1kP379z/zzDMf/OAHr776auEASUwlRIQnTp0+NF5eCLMixE+EyjE53DigR4wBBZyhh5iaH2q0D2A6ZlIUEYKWoM5rgMIDDBEfsfIYQHSnZe/XeKQOEjKwVGBA4IrcESARp6VfYxU8KOBSIiwDUlNENMjasYRxx41hoPJDIndGChNI4x1nRASIPEQAYB7xgHEizkIvYIAUMi8Ej3Gf13pq9cbkwsLc1KNjwy9vueqWG2/YvHkzocD0S2WIXkZip9I6duzYww8/vGvXrre+9a22VnTpYJ+QNQR8rXL8+PF/+Zd/GRgY+PCHP6wnwFmhwuZ5z80XR0YmRhegAilAD4EjAAFDQEKPM2JADBh4XHiR/bDSwNDxN6AKAiFizPA7vqR6a4uBZmEkNBgiORegCStxYwBVB4gzQJPyfDkRnhOi0FBAjAIdqN2mPyusXfBEty8cESkUTXMKPfSAuIcBhIwBJ+TcA4+AAXAeZChMh7OtE4uzC5MPjZzdvuva66+/7lKLWbtcRL+Es7OzP/nJT+bm5v79v//3S3gFLwVZQ8DXJJVK5amnnhoeHv5v/+2/6TVVLQIo+ZKIeRkaHj4xWVkM0wAMgUTgHZOzFTgCMkCEkKs1MTkw4Bw0jZLkDlBMjxBTwiCiUKBatsixG8rgO8sNAoCMkBCIiKEIA3T0TWEEZCq+QYAycnGGCOPhImhG6LwMSCYQRK4idUJALgIEESLTgWW3YuE8JJYHEJ4QBcTC3SECdLRPBlB7U2SuVVkVIxWJDeABU+YCBsjldEOCkMhDREQGABD6YZgpVyqVudMzkyeOHt99w/U33XBtLp/Xt0SGM6r5yaDym5H8ZtjK+prAK6+88uyzz953333btm271EhfRNYQ8DxFwNz+/fsfeuihe+6559prrxVrwUiokiAoaBongDDgZ04PnpiqlHlr0/HCkABI+BI8VQVGl3+zVewlXq9lijUxCgrUS+ZoK+NlOjCQIjuZiJF2rl7yvqSeNNHao5ovAGiAjp6gPUW6N1zP27OOcmRIXsB9LOUXKouV2ZfnRk8eP3rrrbduu/qqlOfb2j4HZTMlUKmtmQqhWRMgolOnTn33u99dt27dL/3SL136C2Ze6v271MTkpkecnJx87LHHcrncRz/6UfGkBfaBMsypQcGAaGR09PT43EzDb6AfwSOUZjZGHBkSMgGiQMgIk5enAQAET9pcrNhAqeBaKatMWw4BVPtIApC2IyqaJjNliTnCzORDFTBkmcmU29d2TDMgIrGMOgBw7bRRE4JtvzAlqb5kuVkiV+3sNGmrVWcYgesjspKwa+rJCRkCF9YGAhYCcfKYx5FR0B7M5eYX58qzj46PvXLVjjvvuHX9hn5Q/hEEAEKSETTidrtzSa4YSXRo1Gq1J5544tChQ1/4whfy+fwl5fRIlDUEPDfR/C4Igmeeeeapp576j//xP2qzkUO75B4u6MGp06cPj5YXwwSbiFBOGckEeEQMgALETET3ikGYDcdOhaqrK7gg4SMROQG5BXNcUDbhrFFBy9xeBlNrmg5jxHiQoPD6IBJXarKgfhbMURJ46BSEFFGWiYgYRBToBILKwMzYk9P1IERAB8GFWRIZEudIwleTo0a+Nt3RmJssTzwwPrzz+hv3XH9de2sbqXT+CADAQYPglQd/oF6wyPJJr7zyys9+9rNf/dVf3b1796UPf7CGgOchAgRPnDjx05/+9Pbbb3/LW94SBaCI+kkwMzt/dmxqvIx18sFBSKPkckJGLCTyPA6IHlBl3c2MMWmqivUhUVEljS+uJzo+f9j2AVuOVMkK1bC22lCJS1WuF2CkJwsDko01umaLoJl0MkYzNStq2rODHU03ovO6ETYKbZk+S/p4IBqbLb8JCegsiSlJ5suAIcmloPJhfXNpvFSfPzY3dvrksTe/+bartl2VzqRQOfHF9GekhNt7hYh41fULPzw8/J3vfCeTyXzoQx8SWtGlD4KX1izly0VmZ2cfeuihiYmJT3ziE3YCVM3IiEjM3RV4MjYyfGJ8sRj6oSwli9nqKhNBIR4AMSDGkaHnA6Z0SbsD8RdLe3ijL5yaGBLJk6oOykMCNBmpYEBSsdDIhaFL99SpHw3QaBgSkYBM+ShQ69qq7zrxH6hTxH77kJgEot9O2SRTfmrpj4gKS7RUosJ3S0hYW4GLWhmgBx4jplwwBAw9ZCmk9qAyUDyVPf7CEw/84CcP/WRkeDRohMAFdxYmwSsU/sBSiQCgXq+/+OKLIgBQa0WXOPzBGgc8DwnD8NChQ7/4xS8+9rGPxTLgS7Ehptaonx4aOjlZLVNbwifHcDEEsaoGMsBQTBAGjMJWlNwx96dbf7xvsT0qCAY4IBFwOdHCCopGqULqnTZug4VEHJmcCCzT2ZMLPCpmRfhtHbJo1yZ0beMult5nBeJWaI4so+cec+ss+TNCSxkgUogovFOmJOMcAERCV0CGFAIPABCBA/EswPraTNvU4uTi9M/GhnbsedM1u3e3t7cyTySTNV6vK1C0LnzkyJFvfetbd9xxR2QC3CVOA9cQ8NyEiAYHB//pn/5p06ZNH/zgB5tMgJMirP7jY2Mnx4ozjUyDGCJ3tFrtThArlct88sQAgBGEAXgM0GsSXx01ApJSjRNeOIxotHbjoLVgEcOsw2KcXNBRU13TGSlWC6IVGb2MLngxV29NNgXGe2jNz3OuL+ZQdvlgdNYKF9EwJB04nHmMc4+LC+aIxIApnsgACCFo42G+PDp/Zu7IzNjImaGbb3vzhs0bUl6aMWu2y5Uqs7Ozjz32WKPR+J3f+R03KvZSp4FrWnCyCJduPOy3VCo9/fTTg4ODn/nMZ1Yy1ZFzPjwyemp8ocx9tMKNlWJr1FvBNxiXwRUAkB8/6JWmjVGPWxyKoqukAwBwqdXa3ZZxGwlTiCWfktY9qYTK/sjwQAZyypqCHgbIgKNcM0QDGZdwxuVy70QckEu3MplgEulIQPu909Y9stoCW1PWZnYNe5bFULSoIZ0QuOgDVyUYKfhTWjUHEjxWXDABAucAxNFaIIBAR2EyJAYMAdIQdAcLV82dhlefeuyH33vqF09MT00FQUAWQ9ZTXWRTq1rEm1av1/fu3fuzn/3s05/+dF9f38Xu1LnJGgdMEJte2fwrDMMjR4784Ac/eN/73nfNNdeshN4vLJTOjk4NF6nCPUIZAp0oAh04ekxMj0NkjTLjoWVp05q1HMlRFZjMdnITylbY7LrBBKyYc1Y2PSMh6GSJViRiIDUtbIxrRCDzqlo16Eok5gOAypFKYljGbYJ6/rIyNRplWVshwf0X+XAQkYdUoFq+OjY7WhwqTs6Oju6+6ebNWwYK+RxDT8zr5mBh/ioVO/R1cHDwu9/97p49e+65555IAXvj0pQ1BEwQDXyRhycyILS2tt5///2e5y33XDkAjI2NnRgrFsM0gYcAGNfWjBCokcNRsrbkSF9VRtND89dVllF5XuPuEVvrREMGbV1VJybgVhyM6wZpgl8sdpXMynVl3QNSdj1DA8H+qdpEQZFNrSSP6niXJfvjRAICKDaoPSQEEM0xY3uoQczpEZ5rmYyLdwZz+YXy1JHis+Nnh6+98dobbuzt6035aWlIldd46Y781yh6dJRKpccff3xiYuI//+f/bCdAdcIhLmFZQ8ClxH54tVrt+eeff/zxx//rf/2v3d3dy37fCFgYBMMj46cmSuWwhUlLfhSJdCtiwRCgEJEhkdJC1WohGu/U6sDxwU6KDi33xmneRAjEiCsng9qJKuNe3Jwonad2m3FHBAdbh0XJ0SxsVsqs7k0k4s+qX9NWtOmohi3xA3WveJSNGpgXXg4bJZvyz8hEYwVoBCByWITAOOOUD+ubK2Pt9fnx0uzjo8PX3Xzr1quuLrS0MIaIPOlDsHpER8W++uqrP/zhD3/lV35lYGDgYnfqfGQNAZPFxjUiEnN9vv3tb99111233377Cun91PTMmbGp2RrWwecSz5zKTS5T64PJCRGBITIIJXYYcqcNiFEh7VWIWN1iFybbJLMJyu4mbXCkzYLC2CfMY8BkBDAHkwXazIEDFCkCCcVvzR+VZmrTWdTYJf4j+wCGeUWuzqKKTii17n4EZFUzcV1YJqUGq2lXw3YrkdzQapEEtDEBuxC2Bwv5YnXi5OK+6cnx62659oYbevt7Un4KEVZxoKDggKOjo1//+tcHBgbuu+8+4RWMBEhf4gQQ1jwhy4p4isVi8YEHHlhcXPy1X/s129W1VIYU4uOjo8dHi8UwIyKDDZvRKqrtM5WqLBMjjhNyLwPMczRZC9KiEYLLEj8VsWH3WCZeVv9sW5gCCG7RTetUOf4B7KkXoiNkCsvJs1YfLd7nds/hdGS15eikFvXTl5Bw8SzKBG2PhEm4oJEYVbyj9UkwnZR5G0Gu/SRiuZXjAxlAhhobq6Nbpw5O7334+Z8/fOzw0cXFRR6uMIHt5SqVSuWJJ544duzYpz71KZ0AJh60cInLGgdcRhCx0WgcPHjwwQcf/NznPhcJAFziGdeq9eGxqTNz9RK1MknjOKCdgcUR0qQMURiZg7aNPFVYIgmfNv+J2hNjnuMnAahVlgyyWGY4lBBkZ3ARLl05TXgFEgFBNEZAtWjccu4VtGecJQXKJE0Hju0HAMv7IZPsK1Og0pHjaAugY7MV6KIi40gkJpBILzsnIgBGPvGOoFQonhg9tLhvcnTm+pu3X7ent6fn0k8NcB5CRJzzkydP/tM//dN99913ww03XOwenb+swsfz2iXC5EdHR//xH/9xz549995778o/a5PTUyfH5+YaqRA8qXYlpTlwNGJF0RCQCBot61WsrVGBmzVnH4gUswNuFNExXhetFWvWo9RYaX1T6Uh1ExoEbcXTVl3lfomnbjGXJJKE48iFGEQy8GRqINVvAdMORbW9JfFbFEVHJFCpLGw6Lq2MMmDG0dFdXZskM5f4S2GGgs3lM/mx4tni5Nz09O6bblm/YX0+n1ffm8uAE61QZmdnv//977e3t3/0ox+1p0VdFpqvLWtacILYj1AsdnXmzJnf/u3fzmazzZ8uARiqE3I+MjJ6YnS2FKZIgQxpo55uSGnEAKDyfAqlUcShMcZEwixhrkpWuiUTBKYxSA7q5PEm8QOBC1ezUfcUOqLwP8jFhrW3VB7VywczwVaBo9TPrQm/MqgQEYFk1LEhaQhq2SPdnLRCSsRRd8vYGiX8EOmgSAOOqlkTGqSWMFbEkEAZc/UN1BdFIDJhk6rTmAL1vUZlQxCLcioE1kZJ2YrY8In31mavnj8Wvvz43oe+v//FfdMzM2EYqt46j9D+teKcs2+oJPaq0Wg8++yzjz322L/5N/+mq6vLiT+9rOAP1jhgMxGfsjAMDx8+/L3vfe+Tn/zkjh07ljxD6q8CRkql0vDE9MRCWOO+nAMiYMoyAqqddg0MgTh48khQAZYBz9OeX9thEtlDaqCSXX+TjkrDFhotGA1Ts1FA54ORNyUCqra2KzZsGqj+m2RGhMg+HYxCFh1TXSL9KxkjlBdY2fLEX5S5bZKiDlU5DctO591rjF9U7FpU2KC4+czjQY5Xty6emmzMDS7OLczP77z2uo0bNqbTaRKkWq3w1yzu6tKReK/CMDx79uw3vvGN973vfbfddtvl5feIyxoCJot4lnNzc9/61rfWr1///ve/f+kJcOZEAAKYmpw4MTw1H2ZCoflqF66rrOqGJIuShEq8SZQuDvN8H8+1ySWD5cCOYR8RMCbtiNb8LDsS0Hk1ZQZDMutSWtZAhQXGBqc6S5FRD2rka35HREzOALEVZ12zCq8zDtYoTXWxBiNaLQKgzF5DVjGNl/E5fBY3kfvNKSYSUFodSRVQWrytthKPLfSum5WXhMgZB5WFlfsU9temWyYrQ88t7B0bLt3ylquu3pZvyYOb8fZShr9EdC6VSt/97nfr9fqnPvWpdDqt91+al7CsrGnBTaVerz/55JMvvvjib//2b7e3ty9RMqIphEEwPjF1erK8yFMRsoAGCwEiLw0THIYxsQYkYqo0iUE5PuycGbayUuMPad5Nw0LtaBI0GzYIgl1YL1DJyJyoYU7ioGS1kuWYXDIGdyAGIqY5CT3k3jCjdJJsjvS2DlfWVDHupbHIqRuEqBGcKdXbuk2mE5rkWp0zCxm7Z8nF4EnNfAREj/O2oLS9eCR//JmXH/n+iy/sHR+fCDkB0GWhOdrwJzocBMELL7zw4IMP/uZv/mZPT8/F7uDrIGscMFk454ODg//wD//woQ99aM+ePUu/o8aFQYgICwsLQ2PTkxVW5754eUS4BYBrDY9olGq9SkIfJUEkWBLTZEhNUoH4LOCod0SAiKZUcqE4pfQp3CEihkprRJDzfBWuOVTRtTtKbCJt6SR5yXJpETG/AsDJiGX906ZDvQaHqx2D1naVdmwiVxIKa37nFEBB3fRing4Ak7T7gXKFq0ZtOi13gkpdg2LhdWICPZAQKMuDLeWzkyOLZ0rF+emJa266ZWDTplQ6fYnrv0IcwwvR6Ojo3//9399555333HOPjYyX8iUsLWscMFlqtdo3v/lNxtiv/dqveZ63jJVa6X3iNZiamjo+PFMMfI6eWetDi9bw9NkoBziSnI1BKBQQwyec1uxo7XhfMOoCUeVNVQrj1Ag3tFJsc0TloJAWQ2s+BtpIISeQgJ5GojpFCukUhEcxGe0OyfN0FS4SSaqIWqG2z3G1XULnXIshWqe4B81OdBBNHXP80VYwtmNDAEBOwIE4IgkaDJyABAwCo7C3Pr19+pXaS4/se+ShQ4eOlEolWc/lgB3i/W80Gv/yL/8yNjb2qU99SkyA07ODL3YHz1/WOGCCBEGwd+/exx577L/8l//S1dW17AO2LVCNRmN8cvrMdLnEW9XQFwtbSguZPbnDroQDMkERhY+CJEXQBZTLONI2IWMQHUhLdtiCMnRWOVP6IFpISYBykV97kiw4KCMhj9tqqaogAjekjYDu6dHaotdgvMnkFIu6TSTe2T20c3yZniC4jVoXHBNa5oZa/SHl/rZuJoFYii9sDSvbi8eHjy8eLs0X59+6a/funp5utNeWufT4oMa4MAz379//ve9973d/93e3bdsmjl5qvT0PWUPABJmZmfmrv/qrt7/97XffffdKnjFKCABEnJubHxyZnKlhQL40rwv/hJzOi5Ccs16EHcvdTHAJqeEathR3gwAoUFTAakOapcIAqMHNlPILTllVytjLyNL4FPpYlErpyw6AGkYpWiQRcGOYXYyOObiGZK6WtLFP989Vlt3rN/dAlZQprvQeG/dMjJFELvPXAD051aIGOVI2CnO9kg2DSDErbrNIOotKgyZA4LkwGCgNTZ6tjpTnFudnr3vTzZs2bRL3nROx6Mu2Muy9kKJfobm5ua985Ss7d+583/vet0Kv4GUhawgYlTAMv/e9783Pz3/iE5+wc10sKcrYBTA9PX18eKYYpDUlQH18ST8FAxAZnhlyQOSIYUs/pVoQFIZYKiyADYIuWzJgiHYxgbDCzyyCAZXFTeKOjg0UvM9yldp1K5udtOUhEDfNo8LE2FrsopvqLIgqswhgMzUJTRJcHGKWTNEAE9mb+l5YqjTomB4SMxAVi9Twqmp1qhM2UFFA33j7FOt2qTknACCXCNU3gAAgTWF/bbwwXjpTWXh+fn7xzbfv3LHNY17MIiAvDgEuFgxqTso5/9GPfjQ8PPy//tf/WklazMtI1hDQeHKFGrJv375vf/vbv/u7v7t161a7wBJkUL2lVK3VxiamR2YqpbAdwJqvFg2EAd2iVQlTii6ITPlB+wB4aR00o5ytbk9WrDoZvuawP8PaDH0zCqZtUItazcBS/+PJVOxiEFWHDflydHAnRMaJwpNxPrGpwc58EL3Hvj3CnACWAxftzqByjzi9jYrCMEW25e9mN50cqhtR3gEAPArbGwvb5o6cebX88sJcefFtu6/dlc/nRa2S/AoKrjD7omCgfq9OnDjxta997TOf+czu3bsvRkcuoKwhYHQGyF/8xV9cf/3173rXuzTVXxZftJY3Nzd3emxqtuHVIfJJ1+Y/CWEa0QxHk7lVgIRdD4A8357p0KzzOrwWNNds0mdFfQzeqZZJARyB1pFdXLBcZmTZ8gwCoWErlh5tNW1Flkh3s4HdqINVhxNqQ4LtpnBureykSQ9r+qO3reKkIYxFIc+CV5HWBchFdqsVmQLHDjxM6J7qPKqU1TYahi1hdVvxxNSp6uHy3EJp8cbrr+/sarcvzNzLi6oK12q1L3/5y1u3bn3/+9+/+qY5r7brOQ+xgxL++Z//+fjx43/zN3/T1tZ2jrUgIMzOzp0anVkIMnJfZDwswwTFoGJMLxkSNhARPPOMIlY06faVJixibGnPviSqahaaGOf21DfjG9HWPVRTR+xQYdA8jnRQi/TeSGPmCgx20Rvh0Eaj/4pWYkyKdBIHvd91lRAYLZUcQBfYTZYTOSFK0VxpQn/03XS6pE909iBF3D4g/OYEwIDneGNj5aw3VBqtl56eL9582y3r1q1TTFMxQkDbCPLGy8MPP/zkk09+5Stf6ejouFh9uHCyhoDGXjY4OPjXf/3Xv/mbv7lz585zdHIhIFSrtfGJqdGZ6iJv1ydTjI4lszNEaVvTzhACb/4sz/fxXIdZXMk9lxDAml/V7NLcjoKBP2vEmtgXaTDkEt0QtY6sfSPOX83vkDTuoKFgNpSQPkXZ1BQWa6Ok01eykzI47hTJrFQIt2VlM82h0H2tdNCmnwDmDoCtcaNTOZBFA9EBMoG/pksAEENSdTACgaTORs4IMWysD6ez4y8NVRefr5eue9Mt267eBsricdHlzJkzf/7nf/7xj3/8+uuvXwWe37isISAAABHVarUvfelLGzduvP/++8+D6hPQ/Pz84MjkXIM1REL86DRaY3tLfJOYoiiyQmR+aTJIt3EC2/Zn8E4xR3t/okSiERE1Y9JOCfuf6KuEABaPrTb1yow3whmiQgZ1eb0+keV1aTIZzlWryboswZVs3do5ScEJakgFS912Oqv2WHBpU29HqcdYW7ZBAOQttX4mQJ9NBq1qUSZ3IJGoFRE49yjoqs+nZ14ZfrG0d2GhXKnsuna3zxCRgYwbuGjQ85WvfKW1tfXXf/3XV5/+K2R1XtXKRYc7Pfroo08//fQf//EfnzfVn5ufPzk6Ox9kFO8zxj4lZlsDmS5DQACesBkBimzunCscSXJ3ECKzjYCiXoAl0dDaQKUMauAwp5GzFYl2Nk1RFFnARhYZpmMjmgOypipVDzr1kDK96fWCE4VQK5aWOh+1wzqdjyJW3KMSbyXS7YijSB/V1oOkfoKDhgIJCQjJo7AtKKXmjp09HB6uFKv1+p7rdmczORlcfZEQ8NFHH3344Ye/8IUv9PX1XZrhiq9drnQEFE90dHT0T/7kTz7xiU/ceuut5/eMq5Xa+Pj06FytFLYzxMgYtBy5SUI6IxYAhAA+EgeU/5MheAm9YkBmL4GMc4lcmjY+krD96/U65bokQslFXZeejmahoeBZWodV4X5ywpyGHEIUsY4mSlldNAFwUj4N2T2Dd0bVFRY6h4oqficuMhEH7RXdIojMrOhrC+YMYYxAnlu57phdiNTclQjIka1NgzPNxlhaTWfk7eIkCD5xBpAPa1uLJyZOlo83GqXF0m23vDnTkhO+YYw0hdaf10kiADc/P/9Hf/RHH/jAB2677bblTMyXsVy5CGhP+f67v/u7lpaWX/3VX81kMufxoSOAxcWFM2PTcw0vAF+6VqN2cwFFSeQAwFKCGUIooEm6KdBgmThXdc9Fg/g4cUUb2vRSHsbCJbmc4xUR90jDkrHoWbN6TZQcCqLGdRCyPmR1wCZaUb07flOjYEfg9ESHFkqt1mrIui7VYYjQWrRqtGALbKw3e+J9UwkFrX0JSrE9+QXdYhEKTOrm56i2vnSWDQYT5dmng/DmN9/S0daC4rjIOSHfBIq+AK9NtD8Q1Av2t3/7t7lc7td//dd1AphVSQNXLbRHJD6xVz/IJ5544oc//OHv/d7viVwX5/GAEaBYLJ4em5kNciQDhTGxoqRPtg77Up5d6XxlJg5EnBuzBp5zfhEiZZ6znBvqmFaHAUku/41xkHJ+kpVYRW4LnCZu6cLmLrlRL3aFBn3A5rVaqdRRivqe2fq425AqAKhSsBg4U0xMT1lR83mSOF0C5UyAPLvdmN9Xd6+pICLZaw8QpKmxvjw8MPrCzLMPPPnEk+OTk6DoKsm/huS+XqLRTWzs3bv3u9/97m//9m9v2rQpUuz1bPUSkCuFAzZ7cpVK5Utf+tJ73vOe22+//bypfqMRTM3MDc+USrwDJNGzNVAFYZIHmp4I7wExiXyAiMAJmMCmsG0jpQsAKolmbCzF7IxLCap5W2BgBbTuloRTJAkjypmuDvw54EuG7KDmhgpq0Y6qk9mb7cgVFP8noxTrVkgSOsNAo1eL7kJuAs2cmGfZV017iYjJJ6EotirLSFep8taQ/CSZwGn5vVL3rSmZJVB3LUkkhBERkx4RqeyL3ykKO+vTMPbCWL38bKNyx1vf1tfbi3KWDFrrQL2eeKTfpWq1+sUvfvGd73znW9/6Vt/3L4scNuctVwoHjIhmT1/96ler1arIdXHeacqLxeKpoYmZGgtViJ4WNSXEeXXs+BVzSJrWkREhMCJstG6kTEEAXbxRjCBpvMJIefNPKXAWx0HDs7jGRHmITBQL2iqwo9U66rMgqAh6ASNizhJLSo1ViBPnhqgqiZNQB6ytCkEl0zeh10npCNW5Qt0Te6y+ocMZVZrpBHHgWE+YU5Ct+m+wnoCsDIZN3zQRvkOIPlFPdWbr5MvsxQef/PnPT548Kd8mADVnpFkd5yP2vfra1742Pj7+67/+662trbBKlV8tVwoHjDxC8VCPHz/+9a9//fd///e3bNkCr4Hhz8/PnxyaKIYZaYpL9N+5BMbx3yoaBDIywxe+z9DPMKYUU8sIKPwNzB1GuoD+Gb0iAmlb1GAng/4sIhOf4SDYGepDujAgIvJo3J/WiJkbLwIGHx2IseBM8SwC0LfKqYMM0qkpGYIlRvVjVIm5JB6Bm+VBktOY/8QSm+FGkN0pHKd+Tk+cY5LeQuIppCgwR+AUIngE4AO1BvNbpg6d3k/PVqtBg+/cuR1BWS6Ws/yek+hX5fjx49/4xjc+97nPXXXVVavYAaLlSkHACLoRUaVS+ZM/+ZNbb7317rvvthe7OldpNBqT07NDM6XFsENPZEKp79qwlxQZQ8IlCyCULZQJS5nU0HyAUJzFI3ZFoTnbV6TSvTQRAuRm6Ugd+itPNW4HiRTSocFVainHDCdUNktTBpsoIXGj00UWSgdr9SJMpnh6gIPUUCh63BgVRHMKNxFsiNG/FC8D2R8ZP0SRWXGMQC0r7JxudV5MJuF2IEw0TDoqycVQdQYByQ0b9QiRPBmzTsCI2hrFq6cPDh8sH2jUAPjOnTv1xzDW3GuVSqXyp3/6pzfddNM999wTz4C/Kpng6sd4cBm+EER86KGHTpw48elPf/o1zvUpl8vDEzMzda9BHiEhsGT9BO0tS39SGyIDDAcGQALf/LlBr7YQ0eaIiDfnHc2OYKRVs5PMgFd7RUkmIZK0lhqdJAsAYKdQ54p4mr4KKFSoZ/DX6WuMgCmW6qjqZqfTB7UnEmwiKyJdiJZf6VjkgtZ3JrGE/GvfOqfRqEdFIaBbT4R7IqJe75gzLowgjDhhCAg+UGujvHXuaOfhhw88/cSRo0d1ONISDPScRL9g3/ve944ePfrJT36yq6srXkY7i1eTXBEc0P5wiQd59uzZL33pS7/xG79xzTXXnGOyM6GvaNcEzc/PnTg7JgOhgYFEBbIXR5fQQIoWot4puJVgf2IUh4QecAQEf2GUp9KQbmeM6eHLGCNCsYhmRNXV0Xe6UZGEQK9Vh4qFGcYn17QksbyPIT4ay6LkhRAQODEdpodczAlhgJZHgiNwmTMeCYC7cc66WgJQafeTVEPTvHI02+p5ZMptJD8NyRU7pAlSRE2rqYCCYCEqJijzS2hwVhRW3UxHKVZ7lC6qMNao9iJchgyjpIgvG5S/BTkioFwCVBiAdegTyX4gIPBcWN00f5wOwcvEPWDbd20XFkpmmkBwvhBLkbW4UQgAzp49+/d///e/9mu/tnv37vgMkKWtzJevXBEIaIv4jv2f//N/tm7d+u53v1s4QM7F1iuBS5QPwnBmdn54ar4UtjM5GNCwBDBukMTJTYiWeUqgCzICRggMGQvqnIcQV4HFR3slvUUJGkg6zM1JDaCAWWWm0oNUuWXUttNH0ATNvimck+ZssnASRdHRdtpYQBZ0CiYWIa0GLg29TKhY6fWStAr6qa5GxNIRhXK6jcRrTgQInMTiwgggEjXquMiEyGcb6HVfYkpG9Nuhy9izBu1gHdAbNoqRKsMICmFpy9xRdijYBxAi7dqxQ1SnYtC1TXZ57Et84b/85S9v3LjxXe96l8gAuCp13rhcEVpwRH72s589+uijn/3sZ9etWwfn9HGTUECktL9yuTIyMTtdwRr4Mp5PejNcwAI16KIV6uyBhkgx4CkABI7AAZCs/Fj6xSVrD4DJobXEtVgKLyFwBmYEG16DolFi0XRVdkUclNrLCMwS5gAQSTmF9hDiTp+QEvpIZHBZN2v1RCT6M5ZKjct2F5QvJkYqjRastbk48VQ8TodDmv1S87XixZOAT/fdQBs6Mxct90vTV47bOSsBAJATco+gEFQ2F0/0HP7Zgad+fuTYMak3kOqgY3dOFnPtbusPP/zwiy+++JnPfGb9+vWMsSsE/uCK4oDioU5NTf3FX/zFBz7wgWuvvVZT/XOhgSJ1CgMAAigtlk6PTMwGWSIkJvBLTDdzE0IbSiPHCKKkfIoKKZWKE2GKEwcE7vmCBZh1OxAFJdDUcuk+K6bGY2tFgjK3Gd8rgmXvQ+Eq4YoZmdGuo4jtVohCJv0+jk86AjFKAefgcBYyBj85m0ahm5h/pnMrkGRFCqcMBFoNiQuW8/a4+MhL3if8MMzmuo6Gq5gaosmcauvvwiduO5GT7jlZQYL2PbdUeBMJ6NxGexsROef64SIAAQPGc0F1y9xxPOQdAOYBbt95tfy0CqUbl+c08Tdnenr6L//yL++9997rrrsulUqt7gDAiFxBCCge51e/+tVUKvWhD31IxDrZi10t/7wlhBmL08LCwsmzEwtBOzPHBaiRUkFjr7YQQkRmz/xiyAkYoceQC0si4yFHHg94WOF7qRVlRojIGRED0vnxVV9I+YUj2UB1Y3qqHOmYEqZxAbkYeIx0PngQdE9BJ7fNjqJfoLAGVeVEYDmd7bhol2dZOqkCboMySKCcucCU54PFHCDMgR15K6Qj2CKVFMdZ03+rY85kOKdw5LGT7Ngyol0iigbKGHIO5AOFHD2gbFDdPPcKvdrYB5wQduzYDgSAjAA4kFAlmtWvcc1+i/7yL/+yUCh86EMfEmkxrxz4gytHCxbv0wsvvPD973//05/+9LZt25i1xJpWOlbm6hLTN6hSqQyNjs9UoQY+CaOOCG2wvsPS8xF/mTBq8+HImDxX2uh5Jk9eWjPEiMKrdZkIIVFtNXmBJefiKMisQkAAASFcZKZxHZ0mQYCt1TJLuUNE4IQUOhP1NErq+5Z0MxG0+c8NRoEIVJmvh3UouoFkUM8YASUB5MLnSsSVqisvxGqHiBJfAysCJsYNI0Vt46FSyu0WQbiGtIEPwGaDjgqsGToj5AAeABF4EBaC+tb5Ez2vPvzSE48dOXaEY6guWXxXm0r8tdi3b98vfvGLj33sY1u3btUBgFcI/MEVwgHFB61SqXz5y19+29veduutt2YyGbvAysOdhDldKEmlUunk0MRsmOFSK0VERA7EQIGI4YD6ePNeImfAKOToEyefsUbvtdxL2yhpO0DiVVl7lAdEV20BhJmMAW4IocAYkZpLQEl8Gi86oThq3OpZwLpC7gYEK57YRFxd1Lb9aROXadHqL1mXYKnBMgpHJRaDEAGZoHWacTftC1hROxGmad8s1ZAq2ezq4s8bl9OjVeUc7U8pAAFxIMbExEnKBaWrZg/hK+EBzj1g23fskLdCfXma12ximCqVyhe+8IW3ve1tb37zm0UA4BWlAsMVgoDiWX7zm9+cmJj4/Oc/39PTk+wrWO6RiyEkM4wilMulM2Mz82FaGaAR9ZrAGv3cqRp2XRHHCAp8Y8wLQ2RIEFIq3yyXjM0Kk1R4M1axyXVh7CeLzk4Tk0a0srxUPJ2YBIKAkWLMBQ05Ty7aHQIg5sSamVl3ylYqwNdmfO6NQdTeD8GVnAakUwmAmAE49IBCU4HidMJxoXIlxPhdArSQugfabEdgXOkuvi8pRKE6KcIZhXrLAHhI4JOM7MmF1avmj9Ah/iIyQNy+/WrxjVj6PdYAh4hf+9rXqtXqhz/8YZEWJFFHXt2yOrVgUhMS9J7BwcH/9//+3yc/+cldu3ad/2qnEuoQAOqNcHx6bqJYKwcp5aAUc+hF2j1UnMrRiVT0A9NGQIsbMkIk8sRymSAijC1qgYjAEMXoti5Q6VmkXl9ElBEdImgFQRoBmeJQxgKIHGREnlK+JGY7nMyE7HFiQEgctN0JwBMOIIrPw+WAXKGqrRYSAGdgjIAgnbyEwJFkVlSZyYG4JJNcqss66kXzKEY6pA6IyLPAFAkQPEm7EIVKLl96HgqzAoBQ1YkptxQRtyyMojFAYkhybi+aQ8QUVUNB/InrhGHqWgSc6cHGkQA8AjTzpsVT9MCT3nD0AJgw5zH9aIiklUQZQhAoG1Y3F09mjjz10t59I6OjoG+OuuXqvnObkwuAO3z48He+853f+I3fEINiGR1llcrqRMA4jf/iF7+4bdu2O++88zWtdirHFSOiSrk8PDo53/Ao6n1DaytBUbV1VfsQI2CcI4WcMUTkwLzaHIWBfUXRitxX1n19bauZZYlDbgx8SOB0guRO11cQvw3gKH1SZbYaXmb2RbQF2bCLudHjyfVY/wHb4Ki8Otzaz+1Jb9oIaMflkQbjBCGrfrtLCSQxembzzGxLn5JgjlTZH1S7CIAtQfma2ZdT+x/a+9QzE5NThMpkiQQmclOtNWDV/KUvfenaa6+95ZZbVrwu9iqU1YaAia6MBx544OjRo5/61Kc2btz4Wr5yIhaFABBxcXHh6OnhuSDbTM21vQSJX1d045xDxkNPuG0JgXsU+pMnvPKsQTJseoEQG1QguZvl+RVpXUh5dV1dCUl4eIkRiXlsSZozj2y7neGQjH0RIyBF4EMFDhFYd4kkh3FDdij6vgpjpS0s5sdAAu3u0P4H96Gh7TwVwUBOP00UuVZ4AYjH4c+9xoSjpl2ecNTxIy1rkiYA4Aihh7wtWNg9/RK88MNnn3hyanLKrRNIzd+xq/3e9743Pj7+8Y9/fP369Vcg9dOy2hDQxh3xPo2NjX31q1+95557rrnmmteSAUH6IQARIAzD+eLCyPRiMfS5FU+T2JkI0ZJ90/OvrBM9AhQh0OgBeqy+CNxwQFucbiWY1dzmrPbR2mO7RCLlZU4EabBvwuk4SQ8AKo6hWlZzim2HKaAVFG07GXTknaqBIp5odY7cdtJPqa5YvecYOSjUR/Oqo+yjdYrsv7qzKgDIVGC6bTnHVeXWEiV627RkME/etSbfMGaBFJE0NTjjE+Nh3gyAEQFS2NZY2D79auOlR17e//JiqSTeVjJzgczlENHp06e/8pWvvPOd77SjYq9MWVUIGP34I4Zh+A//8A+dnZ3ve9/7dAaElYW8xAWlwYeoWq2eGRmfrUGDPDXvVkZBL/E1bXZM2p4BRVXC7sOF1a95dc2vwlHDmbTiGbJkeTY4IjGyEMfE7lizDSQ9FBsJCp3EMonNJuCDOfCqwQviCrj6asU/FksI6Xqss40vwn6zReCOiokRN1zCsUshk26pmlO4vGPEXYo+Gg2+ootyPzZkLBhNNA3da2QEnY357RMvTj/9470vvFAqLwJxQCbjy5HrKsSg2Lp163ve8x4RFXsly6pCwCg5Itq7d+8jjzzy/ve//+qrr37tyc7kAEUqlytnR6aKQYa5cz9Q9sJiaohoAZnYL2zd0Z7LYEJAIlTTzUSI3FI4iG4lAJp3gpxXp4LjiNRP6dZQBUnRLm0as2ZuQcSIBmKiiIAb2QeT/UU0pE/mZo/ihLYRUBNAqWEacmfDjZg6Quggte6z+mW7OPTlEwAKzqXvgzDb6itVp8v2pbvZdCxJkh6GA45Lg7hhyhZBduoSCRnBvCQu/Nltic8AQ0IG6FHYW5u8euyF6ecfOXbkWL0eKFMpEjDpXeb8Jz/5yXPPPXffffe9LoPicpfVTIBnZ2e/+tWvvu1tb7vttttsWy+uOPovIpJdEFQqlbPjs3M8S2DCTSS6LVcJV1XZrRMAeYwREnLOmMcRkCEzBJO72TB1i3FVGhRS2xquiM5BnedKHWAAjJBJvREZ6PXFY6smqYoBAJAjuBCBTTTlBApD8Q2KzBoGZbJ00QS1CpxopoSkqWYEdl4sEVCpQxWtqSCkeK+rRoBmf7pewaEtp4rqEghXsgOFrgdWkWX5rYt2PkSjAiddXpIgAAEnZCEQAvcJNlTGameeP/Z4GhGvve66dNpHMf2cEBCGR0a+9a1v3XXXXTfeeONrMwqtElm1X4AgCL73ve/Nzc294x3v6Ovrixc4b+tvoxFOTs5MFSvl0Lff+IRwEAmZ1h73zdeUkFSSKKG0gvimAwOWgHqgPXpo9kdEGad01ibTI0stddRUc6JryNczKyISMREaVEKyHRSWLXQpVmW+HgQQvY0J6qc5Yund+hKY6bjcUI/GMtDJzFLq+jWBT4r5s37b9ydupuAq/76h4pG+Na85WtjcsSbeeZSKMgGEjAiAhcCQ+ObF011nXjj+wrNnB8+EYaiWO6F6o/Gtb32rUCi8733v6+7ubtalK0ouUQRc9qksUUAcOn78+EMPPfSe97wnlUotLi5G5r0lnr7CV6FSrQyOTcw2UgDWYFFhgM68DHB/EQIwJOYAmzS0IZBHIPIOeoQe41Tr3RVmO0QdDFBZ7dSFuENHe34IZEoWJl2ciEBMrd6kBqZERgIC4EQ8imWOM4GLehjaPlMVCQik0jXwyAwzFe4np7vpmRViOrD2nOhuIErklnRKozCJMEsCEBHnCDFERpURi+upezwkMAHPTLpriChUmfu4PFOm85OKsIxJ1B1W6Wr0t0R8XKSdw8zu4Ij6ogE4t9mguliT6SDuwpaPlcyEEdkBTuhmc9CWBMnpkQEwjkgqejxF4fb5Y21HHj30/BMjo2M8BADkHF7Yu/epp5565zvfuXPnTh0VeyU7guESREDS012XxKMlHhsilkqlr3/96xs2bFi3bt0Xv/jF559/vtFo2CfaTMputFl/bKlUKifPjs+FGQYcABEYUwHQKKKu0MzeTYxtS6Q0iBwZqYSZBIzxXCf42Uiv7P43uyeqTbspFR8tsFqbNKNd03Ul0y6iMN560pMykSLY9GGRUyaxG3HPAzkdQyfiT3VcdAC5wmueVEDWH+W2TTweThF9buQARTl+ohBRktHATt7lauKIikQnVNakh5TjjavmTvIDvzj4wt6p6WlO4fT09Lf/v2/fdNNNd95555UcABiRi4OAzdBNz0kEd9icE1HnnD/88MMHDx689dZbH3nkka6uroGBgUSXf2JbkUbdQ5xzvrhYHh6fKfK0dCWg9FZoz4LO06bMPgqY0C7hqLfCWQsEjLh0VQIg8zh6TrHlrx4N9qGZPgHStG98IMZKqH6KFAnMShdo6a0EIMmZcIPYTyQ5YsMyn6Ge4pZo4RKsFVAxU+MptvheDG4SQkMcK4TMYGYWBnHPNh4Vqx9Jyr6u29wHHWZM8fuzPICuWEwlFO+sajQRcDkiAG9rLOyYeaWy79Gjr7w8PT3z4x/9cHpm+u1vf/sVHgAYkYvjCUn0RSwxJzFefgk/xsLCwo9+9KNisfjggw8ePHjw3e9+9+nTp0ulUjabTafTiJjP5xExm836vp9KpewsCbraZn2rVquDQ6PzdRZwD1CZjRCAFOzJE5QGHOujoxersiAHFDJAILFiMHmNUuhlKJVOHJZNaCCAhXECV0QuQwQd1WGLUXdR4QIqoyQSoExwz02IH9PrxpmECMwZimRlFdRXrREElNNA7Xey25B0J9h7IkAcrw2BrOWGmbkyrVsym5bqw6rzUt2N30/rMxDBmggVTSBopLRpcF0xiNyND1f7dW3yy0kKZO26VwSvSmHnHY3ZLZP7Tz7XenLw9E9/9sg73vGOG264QSdAPQ9n4OqTi+YLjjwDzvnCwsL09HShUOjv7088Rai34+PjCwsLRNTa2trX1xcPaJqYmCiVSq2trQcPHty4cWO1Wv37v//7Wq2Wz+c7OzuJaGBgwPO8np6e1tbWlpaW7u5uz/Py+TwRifxouVzO9/10Oh3JlgHIqrXq2dGJYpBCAECPQLkX5boTVpJgZXVzLgCc5Mj2+8eAIyAH5jExWZdlxl6GrqtDv0+vJ9dMktEQ9KKRJBO6yrHB5VwRE19yrpwlnhMQAJx0qjrgOdYts/Cm7qdglVrzVhCpU6hG60QXFpIczc5PYWBk5qeBTrnHmjWRVEG0D0lNu/utc53V8iI9FwXIniBCpqT4h5GPhOlMs+emLZUMaH1lcuLUC9/+6eNd26+7884729razjsWYlXKRUNAG/7CMBwcHHz00Ud//vOf33HHHZ/73OdEmchDKpVKjz/++He+852xsTEi6u/v/+AHP/je9743AoJBEGQymaGhoT179nz2s5/dvn17vV4novHx8VKpNDU1NT8/v7i4ePjwYSIaGRmpVCqe523YsCEIgquuugoRu7u7C4VCoVDo6uryfT+bzTLGWlpaGPOKxfnjZ0emgyygiOGIRS0b5c2ZoBL3GoJGT1WSy6AFYfkGDGqMByE69djVxm+prhhlQmPNmMTSRVFzktZPmcLYSCyeLEQCJGzyojJoATf4YVbyVfnuCTR7UksVg6UqqmHssGFI6iRYvYJ47LQLtSIdAyfSSQwlAVQmNQtlnG2IRQImY4zlYU+iqM5Jet40FwRwycqd1sl4qxKhNsqW7WrEJSER8MaJw4fmx8I9t74ll8lyzj3PW4M/LRczHlCzv+Hh4b/927996aWXTp8+3dnZCQr77IfEOT9w4MDXvvY1xti//tf/2vO8n/70p1//+tc7Ojre+c53isBO/VwnJyenp6c///nP33zzzToVwvr16znnQRCEYRgEQRAERNRoNDjn09PT8/PzgmASkQDH0dHRRqORSqW6u7sZY+vXr2ee36jV9u19dSTo8VI58NKpdIYxn/kZ5vleKo1+hqVSnifcxCt7wxTAkfxFMhGmZJESmhCTg0mW8gjJgWp4EJhxHikmm9aJoEHrpyRRw8EmYyElslYEJn26RYEkpiDpa5KNqpBsNY4JQHh8VTciFyzOVJiFmi1ifPVQVMqyRbFRpM9a2qKcQCETNNyEecf2ZDjds6Yczb6gJTuwpDQvqz4ojJCfXKg/O1q8pbOwpTx04pUDre3t3d1derzAkq/QlSAXPyI6CIKTJ09Wq9XPfOYzX/ziF4XTNv5UqtXqiy++ODU19fnPf/6ee+4BgJ6enj/7sz975plnbr/99paWFvsszvn73//+W2+91fZ5ifhPodhG6t+wYUMYhpxzwRbr9ToANBqNMAynpqaKxeLi4uLU1OTCQvHZvfsGz07NLJykMED00oU2ZCkvW/D8NEtnvXTOT+dS6QymciyVZr7v+Rnmp7xU2vPSLJVlnrjhMupM2A6Fko0k1q1kauRzkngoaaKwNaLAVu0xV2YsyW4QjGnPok6Skqq4X8HAIwEZJOxpghICAJj5G27YB0B09JJMHOs+MkvbXwILRDQkyI5F1Ew0/zUunSYVxcFdmQJJXp5FgTVUyQ3ta4gq1AS2kc5wRlRnRdko6I/EEgqyqT+Cpxq7bbU4ka9ZJN36OCg9W35YFur8obOLLT6+qz/VWz557KWfH23vvP6WW1pbWjTDuML54MVHQMbY9u3bf+/3fq9UKi2RuW96evrIkSMdHR033HBDoVAAgOuuu279+vXHjx+fmJgQCKilt7f37rvvTvR5JT5s3/eFszieO0swR0EbZ6ZnymF2rq+arqeJB2FlkQf1sF7mtXIY1OvlWT43xqtl3qizdMbP5Jmf9tNZlsp46ZyXynrZvJfKeKksptJ+Ku15KUxnvFSGmJ/OZBljMrYOBK6JTQBAsnKikMzSCiTt/6jgQTk8kGsDn4xRJLLUPTKZ8ZWaLPaDmqCmDsn7JYPwiKsljbnU150hLjKkgp4gIaDd3HYwYKQJonRfoFCQBcxy24IGjrHSoaKmZpHtRhFVRTk5EJDMTkigMqRo/JG3WQQBioBH62p0TkAmDcAGKymW30GEN+oVgdGGJisnIChwsuaWiI+N/fFAUouaGrZqggC0jiwuR++UZ2nkE5AWEu2dqJ6cb7xjY2Fbq59tzDXGXz75Qk9rR/vOa3ZnslkNlFeyXHwE9H1fLNB34sQJsSfxozQ7Ozs0NNTd3b1x40axp7+/v7+/f+/evZOTk9u2bbML5/P5lpaW88+EaomeOcQ5X1hYXKhTI9OVSacJANr6gEIBLgQciJA4IvCQwuoiD6pBtRTUSmG9Ui/Ph/WJsLrIg5qfKbB0Gr2Ml057ftpL5zhAttDm+WmWyXp+lmUyzM+k/DTWGmG17LUTgAfAAT0AQmRAKsSWiBECMjlmEAmIESrgUBQSODkZEMw/7a9GNQUNFS9lth4tg5StdAMiTw6QsqyJ4R1nUuYEdUhruAlWMPEfjNr1wN5vcT1dia3p27DrsEjQmAvJdjW7qtiexA4vCx9WZ6J3RbJLZ5dlUlg6JNZCYaaMKILTa5TEocXg0eHS1jb/tv5sxmNIsK48Vjz7wrHnu1pbOzZvGfB9jxJ8LFeWXBwEjMT9aahawjAhTHie5+nIPrEtdNVI4SaOh9ckYRhOzszNlBoV7iMSoIfCYcEYEzljmCebRSTeyeT8Bo5AwNWEA94IqosU1BulYhhU6pXFRnk+qJbLo8c4By/lYyrv+czPtDDEbFAKpmYyk+OAzM+1IEulsjmWyqCXSucLwFg61w5SP2UggREV9RMsT9AC1D4QJg6ZKbcyibGiWtzgo5WYRBBAAYWk10ERXNJQFZ1NCxwjoNqDCQxOBdbJU8jGiZj1DSJIJzHXopN2URCwznRMiaVHx4mPDrSOYo5ZwphcZdxqKw5U9lF7NocV9iz+IhLn5hahdZnxyCWnc5bVQ3aRA6Ge2lwJ+MNDpXLA71jX0pv1PQQi8nh4VfHE4rG2w129LW2t3d3djF3hAHhR4wEhBnZLw1biJ9HzvNeF68XbinSm0WgMj47PN3yJJQgq9kVociDeSAJEAsZSKGNyGYpZI2L4IAL1AgBxkZqYI3DiXJxZW5zinBqLszxoBLVytUxBrbx4bC8AgZ/x/TR6vp/JcmTpXAE4pVs6kIGfbWV+GlOZVCbHvHQ6l/c938tkxLwUgYBM2g5JgLHUGRXqIYGKZkQALuidWKeYRKoY4bgHqcQZugcADsyB0txt4HNIma1CygKWXqzjYPS5Bqn1fowgjMMERd9QrUaUYBxUkKl9VcrXTXZJqT4nnA5ul8xV2JXHOWNiNgTTHKKaq6eMqk3hT2v0ug+IxACEKk4AEBLsn64enq3f0pe/rjPHkCmtGTNhdfvskYMHOo/19ObffGu+UGhiZ7xS5OL7gldoiM1ms62trZVKZWFhQYS/lEqlUqnU1tYmzIJxqVarqVTq/PAx3qVarXZ6aGQuyDBJBcTgQ1TuT+0DlUNLKpiEImEoU05f5iOKbSb9FxIkIdXaCZowIiFxDgQhB+TV6QnmYbU4x4NqvboYVMq8UVmYOM0AwfO9VJo4T2dbiMJ0oYMxYdnMpNO5VDqd8tPpTDqVSmfSmVTKz6SzyEy4Nir9UMzqR0KmbYU6WYMESMezbM8YMazKWl9Yo5peC1gUVgbHKLrZmBV9HCDNbaDKW1NcHH6nt90JLVY96gELu6FDq+xK4ocN23OYHWojgQvxYLaldQ7MTVKvh/qqC/gTDuSIhdX9KsgKIyyWABjpWw+jC41Hh0tdWXZHfy7no/qkgYgrbK8XByZfPbW3u6un9+qdO1Opi28Ku4hykS9+JfAnyvT19e3atevpp58+fvz4TTfdBAAnT548derUwMBAYgT19PT0T3/605tuumnTpk2vvXuc88XF0tDYzCLvJEQEJsNEJOtRZFBY9UUsns6TIMeKuEymv9sAXCUwFaHFyHxPZBvwADiAH1RCPwMsxRil893IeEsoFuIhAM4JiEIIg9r8FEFYK87xRi0oz1OjWm9UFhdmGQBD5qfTDNFLpT3GMqk0IqqJMBk/lUpn0qlUKpvOplLpdDqdTvkeouB8lk6KIGbL6fGvwN2+V3El18EgAhs9JYppRLCInaGEqM61sgq6KoOBBTJ5vXR/KLKh+2lhcRJgIQDXOi9Fjuo+k7Vh98MubyGgmurn8kKHRcrrR4tRynMJODadFCkfBhfvH4cKD58eq8zW+C9tbdnY4guHOEpHGQdgjGB9aXRu6MDhFza0d3T2reu/EFrU5SIXGQERMQiCEydOlMvls2fPLiwsTE1N7du3L5PJrF+/Pp/PHzlyZGRk5M477+zo6Lj++usfe+yxH//4x4VCgTH24IMPTk1NffjDH+7q6opUGwTBAw88kM1mt23b9loQUKNzEARjE5NzFarJ6fbCwiR1W0HwABUagjLBgeJ5Bg40XDo8kwnlmYTnFQiAgefNnqa2dTzfBeBhChEIfbl+GDHNMiHd1sWAcR4ChUTc4yHyAMIAGtWgPE+NSlAphfVyUC2FtVJQKS9WSgDkM8YQme8zxnzP8z0PETzGfD+Vy+Z8z8vlcik/lc1m06lMOp3KpdMMnWXkyEY9JGm3QnBgyL6ZS9/rSNizgj9BPDU4koMO9unmiwRaBdZuGtMHcQEyEoiAGMjF4dQ1uXVaUxZNJYicc1cPjYOTo5tHBZudBZIw6iOoFA19VOT507NICMRKfSoqEo/O1vdNVXd3pm/szviIIpuQwD4x3ZIBpSjYOn/64KvPvNLdn3vb3e1trVesInwxPSFiu1KpPPDAA2fOnFlYWAiCYGxs7B/+4R+6u7tFYufnnnvuueee27VrV0dHx4033vjWt7712WefnZiYQMShoaE77rjjjjvuiH/BZmZmjhw58m//7b/dsGHD69LfRqN+dnh8PkhzhXCk1EhlTpKjX3FDBCQrCRbKI/I7rtetBJHbSIxNYgxJkQ8PsDTJ8m0E3eo7z1TQiyaeCAgeSyMgQErMq2MUMiAPOKMAOro8HqL4RwHwkFEIYRDWK2FlMaiX69VyWK/WKiVqVGuVxUatGgSNdDpNIc+kfM/zEMD3fGSQ8jzf9/O5AiK2thR8z89ls2nfz2YymXRKuRR1TDVZqiIBqFmu1phXTFg7QyK+UgJ9gs0fyTI7Gj1UOaat0zX8kXL+gJx5Z1bqUA+OR/rsuqpJETTVJbNQul7bUz1CiF6mhmPx1ugaUX4+HWCVKbr0hQjaKFhhRB+3TxOhCAhEMFPlT4xWsh57y7pca1rPCNf3RBUFaglKV88ceWX/s2c2br7m2t0iTvYKlIvsCSEixtjGjRt93+ec79q1izGWTqfb2tpaW1szmcx1113X0tLS3t4OAAMDAx//+Mc3bdo0MjJCRO9973vf8pa3XHXVVXbNRERECwsLN9xww1133SVOPH9RL2O90Tg7Ml4M03ptWPHGWoPY5TjKXSr/SPjTqjKAZIlM3g6tdiIAETAGBEBczBAGtNiW0ZWAUJBH1SOOCMRUngJExhgwhh55COBByIAYcEaE1Aq8C3mAxIGHRCHjHHgAFNYqpbBebVTLjWqFeFBZWAjDarVSqTZqYVBPpTLEw3Q65SHjPPR9H4jSvu/5rLXQ4gG1tbYyhJZcPuV5qZTfms2Z8EOjVxorHmi4ET9UgBpKv4tWVFFZ01CALAGhiEACIh12R2TxRALUoXbKEkao8QUJVA595e2VC96T4p6OKLiy8c4csrhbhEiqMi4fJQIGKOMfJTYTyLRqqFwaTYJ2NOaiRHTxq8H5s5PlUwv1d28qXNWWRqePuqtSs0cMu2tTm0ZePrp3Y3dvz7p162wmIfxgSW2vNrn4WnAul3v/+98fhqFNDBljInfLzTfffMMNN4hAZd/3d+7cuWnTJjFvJJVKiRQG8To7Ojre+973bt269bUtgyD4GHJOxYXy2PRsMewGEJAn01ECk9YeVCIKOP2xwyG08ycpCoEBAXoAgXoDGajFiGXNTOnPSgmNtASGhqh9SqdUMcwo1CjGPGQolj9HIA/E4mRUyOcxDIE4EUfOgYfAQyAOxBu1Sr1aDoNatVIBHiwU54l4pbxYLteCoF5aKFIYplI+AQfOPeY16rV8LuchtLe2+MgKuVwmlcpl0tl0KpdK5XIZEVQocYUAQN8VaTdEjX9kZ9tXKrcAS9Kh40BoJrpwJE9l8RITYEjyROVpkLHeNguzLHdLiQHNlQkCciusnfRFGx0BDXo6Ob4SGid30/z/xHzjufHyQIt/U282lRjmQlK1J2Ge4XxgYXDuyDOv9q9vffs9ra2tMtA+aupczXIREDDi/RBJB5oVjqRy9H1fpG9pJqLmjo6ODRs2vJY0kCLgQDC+MAwnp2bna1gFXykvACKxA4u9JonvTGS4YOLwEZZAUasAuBA0xTMdM77CJV5PjP5TKp49141AkB0xR1ScxdBHj6FMh8UZgIBIBkD5PITtiJxCDhBQwBEJggCA16rlRq0eBLVKucIpWFyYJ+JlHlZr1UajXq1VgYg49z2Ph6HHGAdK+Szj+635XNpjLdlsOpXKZ9K5lJ/PpHPptHAokWGIqP0w2gCn8IqElotc4RkpQqcGsXSmABGFwvCHBGK5OETLpuaqpREcNNHUTe+8hWimTDRGUggDBLUMFuccEYG4dnbEHCbOD0fZBxnxWayHT49WGgG8fVuhO+NHe2GLmtxDCGle3T5z9MD+Z05vHNi957pUWsT/c9Q5w1a7vNEIuHLn78rLx0UES5/3tEc58oQTDTEIGiNjE3NBWkaGEEOppBn9zDl96U8nOgtRmCtFEowPgSllKP6y29W4wEvSBKksZY7uaWt20TgP7XzUn35BE+WsEkKSk+EQAT0PgTHGkTz0iSEAhYwon89CyBlwHnIADmEIQr/mYa1SCcJ6GASL5VLIebVSCoKwWq836rVyo1qr1TiFIjsUUSjWcfMYy2fT+Wwm67FCNpNNpVpzmYzPWnPZfMoTSjQBE/Y7DgKmhfYorheB5EMS4SbaAYJqHSKUF2k/O1ftNRPdHCOgiuQXXNvJ9aAePpnC0qjnAJouTwqpVUmRFtIigMZsCLGd1g6EkMIXp6qH5+p39ud2tqUZxs/TO1B6jeR8IexoFDeP7D/y/Kbedf19/euYJ8/mWgFZ1fJGIyAul5cxcrRZyWapTBNbPOdOihdS2dIbjcbQyOh8mGXKUatfYoWEtgpsbevqmk7CMsXEdF8GHMAXJr6wcyvPtC0Hpwa1EMXEEMspIfobm62BBg1RqZxWR0Ck0pNUCxzdUITgKSMASM8kI0TmIaDPGBJhymckjHS8JZdFCoEIOOfEiYfAORDnPKzX6/V6rd6oVyrVIAiq9Wo9CGq1WqMRVGu1eqMRNOqAxDnXc798hEImk0v7+XS6NZtOp7y2bDbNqKdQSHnq8szcCBkiIxM9IEMuVywhEM4be2a0vgHqwmOPSlLLKCcj6z5FziI1SSNiVXSaUAQQFW6CvLPLkTBhHSakocXgqdFKV5bd3p/L+MZUHSuvgxKFAYADMCS+oTw8fuKFl/dtfss77im0FCRSJkydWYVyEbRgDYJx8Fo5X2s2q+R16qIZ9US0WKqOTswVw3bVIikWF/28uyTNbEZef6vz5qectyvuC0MACDs2A0vDkldKUfXQ5n2qObJGg94mQpVGH639KBmWssHZrkmxvJHsthj2XEZAAor0U4pJ6hGOyBCJeQImldmRAQcgymcFGlLIgTinUCjLxINarVYPgmqtVq/Xa41Gtd4IeVit1cKQV+qNWqMxXVxEgJCHHmAQhgwRkbfncpmUX8h6belMzsP2Qs5jtK6lINZfRmJEcskkQOAEGjOtp2h8IEk6ZDNMMl8LU8TQOtDfQHSxDwCIOC5HtppCISIQLTb402PV+Tr/5W2t/XlfwVfiuCD5AKX2jABIwNNhffvs8f0H9p7dcvWOa6/xPPGQRZ62VS4XzRe8LPytnOUlSr1ef+KJJ3bs2NEs4/TSIlUnwjAIJyan58r1OvkAyFQ0imRCTSwtQtBABdjEUGc/dD+ysjAaApOR7uOmpNiaiyE5qRm3MljGsDnVFzEgNeMw0GmgUDJSoQhLjY9rnZ+c7AaECMDFMJapAJXnGkVaVpTXpQkXCR2UISJjjBAYAnhIHhPJboh4LgtEJF3VHDgHIODEiVeq1XoYVGv1IGjU6o1qEDSCoFqrhyHV6rV6GEwvNBhiEDQAWSMIGKIHvJDJtmb9tMf6CllktL6lwBj15LMyBDwKTFE2t8T7Zx4igmGUpNTkJAVAemMBUHqr45rvSoUQjsxVX5isvqkru6cr57mBPK7IiCAxvUYt2Cepa3dtfmBk/4Hnt/Ss6+3u6VF511a/XMwc0UvveY0s75lnnllYWPjkJz95fgio2qYgaJwdHpkN0yrWWakI5q130M2qQfiMo3MlXLOR2okyez4TSEPKOieAkogxJu1SCj05gKfVJldjUnPauGY0KCFMMDsOpBfNMEYrE0QCKnyPNCEiUF5UmZFLDCZpMCWGQLJ+Pf6EviwJtYmGUQUM/QSBohzVfSEAhgyRIzD0UCdMFSbOlmwKOCfOpWYNHIgTJyRaqJQ55+VavR4EtaBeb4SNRlCqN4BgrlzyqjRWr04WF6thyAiA80oQpn2vPZNuSfv5tNeR8zO+31dIpT2vM+enGYlVNkkmBBOpB3S2CLBCpkE5qMXTMhOKpWHS/gYJO6UIWCLpcyAERlx97Amlc0bouCDBVKbLNQE9BDBeDp8er7am8a4NuZwvQw6VRyVp4KjvrHr8XMQgMAg3L5wdO7bvlQMDb73rHam0Fzl9taYRXJ1TAmdnZ5977rn777+/p6fnfOuQ5uIwDEdHJ+Z5ThgAKY5mNpFzoBD1vxiam6nDpjwKKGOyIaDU9PGwtQdynckcEPUfDYOakuqAO5O9Sl+XGpVmW9ehwIlAhQfLNApWancVXQygkxhGBZ3arA3Fd0y76BYQm1IZtwiRzZY9RGRicQKR9MFTyR14Id0CnEh4qxE450icOEfAydKiT7BQqxGnWhCW63UM+Uy1jgTVRqNUb8xVqsPzFAQBRwhCqodhzmNtmVRL2m/LsNaM35L2u7J+1sP2XCojcVkpKQAcSE7zVm4a8RxAB+CBfKe0c0baF4gBBsI5zDhwkeQAARE4cQBiiApRCcHM/SDEahA+M145Ote4f1thU0vK/ojZ76mdism6zc49B+AZXt859erB/QNbrtq+ZesAMERXD1uVILg6EXBmZqalpeVtb3tbb2/veVYhlAWCarU6Ojk3H7SBQp84V5VvBpo9y1SebF4iDkyGxCEAMK84TJksz3YsWyEjUHQvQS9H+x/Z2wIidQIoueHqUdY8NEFzrCGtZnroi9AAai7LRjHBIZmJ51HF7JBv07ylm+uem8FtDJSoOA1jiAAo85UReNJf7HPI+m0A4XpqAeDAOYcQiXhIQLRYqwUhrzYa9YA3gqDSCIOQL9YaAQ/rQVBpBPPVgHOqBSEBiKPZFGvPeC0p1p1Lt6X9lrTXnmFtaa8j66dkpECIAtKAkDMAYsQ5MhGkzYgxCDkD4sgYR+Ii7oCQIzLOOZOu7FCoohy4iA5Q67CjeHyni40XJqs729Nv6s55ehG/mAUQbe3FvBGW6i0sGAA91Zm+M/teeGZz77r+Qj6LkXDU1SirEwFbWlre//73X3fddYnLBK9IULxwfGJqerpcr3HP5XeyCEZJX6QOE/gS4W62iDzPkluhMtYjmoTJktc5ZzELC8C22aBRwRSN4hpK4uBoYxG6/+z+ovKLMBR9MfxOgZeCRZtrGJsgmFOkK4lbRISi/YgAKypKaoOjQ2pERixpi0NECjljIiEfEaLvgczPA4CevNnMIwZUSHsEHHkYAkPiyImIE+cBheVaoxFSpdEIAl4NgmrIa0FYrQfVRljnnHM+slAdIijVA855LeABp4zPurKpnE/9hVTOZ905v9VnHel0ZxaREUKISBw8FAt4IhEQgMeknqumKDMuTAEcRDQ4AwoV6Rcz0vlEhT8+Um5w+sCW1vaUB8SFOQTk5LeIuASQbDQEyc6R+4RbZwefObL/2KFrbrjpRo85p6xKHFydCNjV1XXNNdeIKXHn8+RUjoKQh2NjU8UgLd0DqipEVJ9hU7nzkVWc0DYCGhVY/7TMNUhi4TlB57gnWAGPRkRb9Vj9kYkVuDaWOSHQEn3sf6JZBEBUUGJFvUl8QSA1c8vo1/oeKTomWKQmaAQETK4ybJfn8kJllhS0KrTIiKyHlP3LeiS6BMVIjl0MEUUAjZxujUiMIyegFAfOOOPCx8mQOCIj4h4CAkOGvkiU4AmI9pFYW9ojIk5pFEl5xJxi4o2QVxthGIbVgIKQlxuNehBWg6DGqdYI6gHVw3CwWAfi89WQgBbrRMDTHtuQ83wPNrVm00jtGdaT9bO+vznPCKW9ggA8GRrPCRijUF0+yk8PEADWOO6brr48U/vAlsJAq69uECMCmYc1Et0Yt1WoGyqfDjLkjJC3BuVt4y+//OzmLVu3dHZ1Xdigi0tAVicCivRPiUrrikQmu0IehsMjo3NhRnpOnaiFGLRFKGHCpMxYO7bvW9rACTgBE9NGgUjDjLYgJZyLyFEtFAIyxkVa2vXUfZRoKNLfE1rrZ6rOSsR0+ZdpQ1I/zel00io0tkWLl3ENkaAyuDsACoBAYtkNCy6tblhB3bILpB6NgH4n7SCQhF0Z5scEjnAxE1jlCOVCkVfpqjhHJJEqBhGIOCfyJCMHAmTIAHhKRKozERzOkZCnvNaMh8Slc4pC4iB8MkEY1IKwEUClEQZEi/WgQVRphGFIi3UehLwa8tNzlRBoshRmPJhvcOBESFe3pxixDS2pFg86sumeDC+k/HV5mRdRhAyCfA/h7Bx/cqS6uSV9W1/OY4Bc9BhJJcVe4qWLcGwAIGRMfvUBKNxQGh87vf/FfTvf+a53J4ZnrCZZnQgo5LyfFqnB1gjCwZGJ+aAVQOmZrptt6SaEPdspg2oMW50kVY+0oQu3LwNGPFQgTk2bi0AY2TZuGYMmRo1FR60NZQQ0cYLA3AEiUcYo1xQBMrsbEXGXoyOBXHoar+4J2q3EKrNCVawN0iNZlbYvEJETIXC51BERciImzQ1AAjAYYqhsCciJM2CAnCDUWaSMDg7SmsBAzN3hDBGQAXEmQN+TEySR0kBcprkF5DxERApDQqwHvBIEIadyPeAExWqDGNYavBaE5QAqQZ2Td3K+6gHNVsuAvFgHDjzDcHOLl2ZsXT7VksLujJdCeGKsMlMPPra9szPjMc5JzoKByAugbpH+C2CrwCTfRUaMI9exO1ne2DZ9ZN+B/bt2X2snl1t98AerGwHPWxAAkHNO8/PF2cValToRgYiZcZsQ/RIVexTrwEDFFhPOJ0DOkBGIeaoIwFv7KVMAhCW0PtNjiZE6mtdeDWMpUoBJ29ZOrRE7nUU9aQw5NqvbrOTLdV22AdFuoln3xGGmZ+zZAShyI8poABhR6AkNmBNTvZffAwVrTLI/QkAuTK5ibTmpacolU1S7WsMGwFDMLQHB+yVGiil9TAA8IjARducx5ITMI6Kc57WnkSNimAYATgEBEAGjsBFSqZElwoV6wBEr9TDkvMyp3gjLAdaCsBbyk8UaJz5Xh1Kd5uuN9w60bm9PM5EAUBI/GdoiOmwHbC11e4k4cWHZ4fKm8u5Gsf/sy888NXD/L/8KY2xVsj8hqxkBa7Wa7/vnl/+WADkPhkfG5oNUKF0TykVgmfNkYDNqyyCAoH2AUQKkeI7lk0CwCaBgJ4QgZy4gdV5FqSxD5pgLjREQiCECMQ7Sji4q0dn0kJA4U0Y6kB/5RKyhGAwRksj7SvIyxXQOZWSXPTap8UCfzoDb4TPiRui0AqhingGAXGA1BYDbnWHqisjo3ZYKrGKPmewnF/QNgcR0Yw7ErDlnXM7rVlknRMWIjDRXEp1hIh23edgqxgikS9y5Yyi1bY4k8dIEFIG0HSAAA/SIlBvLEzlvGLCsBy0+Qwa9IYqMpyCWjyFqcKiGYRDSYiPkBKWADs02nh3n13amUx6CSA4tv3YKjUl/YsV91k8ZtGFCPFIRnC4fr+TmCACpMNwxd/ypw/uPHr/pmh07QYREEdNnJ71Fl6WsQgQUz35wcPCxxx67//77r7/++nOtQXzxwpBGRseLPM0SIqGWfgNQ42P8FBWaYOgZ2mcxAALGOOMYplsM3sWytaFMKSiNgEqTReP5VSofqKNqXihpGFZdOHeJET9mK6HkRPDJqyY3bRfInHjGCJg0slxLJTj3DsDYE5tfBFmOcgYucHP7NIdLWkFA1k3UORFkxQBAYqHU5LatSHXrbtunq6MqtjDlMSYgXhpcMAvQAgAcODEk5AgNDi9Pe1mPORU3u/wmXSM9GxJtwmikpVHaOn70qSefvmrLVelMigAIORNm5NUDgKtr4gspZlGr1b7xjW9MTEycZ+ZbRAAIOT87MjIXZIg4Y4Dmu6pLRV+EqMnP3aODS/Ue5R8FkAgiVCgGxDgTUwWS3zVdrRotoCBPoY+FUcpPo6emgp4xAsqHq2BFrGBHyhRqWExCH5zrIH1BrtiqrsxGheTgJy47iKO2LUGA9eXZdRlwUffZ6ZIIXo5lN2jSouuHcY5oFFO3NFGXTwoXjwqLXUS0EuQMgSH6DH2GKYY+0+GnSpNwX8zmd7Tpodg3hCHR5uLp+qlDhw8fQi7X+uLIVxP8wSpDQI0Lo6OjQ0ND73rXuzZv3nw+9QAQQbVan5wpLoZp6YZzGnJKL20iieOmdlJHfMEcOCASiily5M2cZtUFaB79wRTSSe3MGkYWsRIqITdHDSshTayksY8iVkduGwG19qqPMtfBArbmj9xhhU7HyUpVb3EibaKToBwFIGtuGVl79HXpsB5bNzddWi79gIx0iba1nNgsT90oFaME5pDY4cZKirY4KLUjsVpozuPUUZfJRk0LSxSO14V2sXxQv2F0/7PPPb9YLhFyIGDEVnxjLg9ZVQiopVqt3nfffW9961tFcunzEM75+PjYfIUCYJzEir8EYCIBtcTPje/Xn2xnj1VY2H5QmrS5IEts7gwEC2SVj8X3EIrIGTWHDOXyvqQSsRiMk/F9xBN4TaT/REhG25H4qHBKJU91TrGBT+dzdkWgtWPgMytqah663PAi4pTcfwX5Lkbryu2GVJ+j/XSDcgAUX5buF1m1BdMxgLFiKhP6htZ20qURJHzriBSyXyBZAhMJaENlzD/5ykv7XgJhFj6Xb8NlIasTAQcGBu68886enp7zdmCFPBwdmyjyLALZuNPs6dvMLrmAO1js105sc+TIkCMyRGDIgSGFEATNeihTtSCPcA1GSreNcFXTU0XrIowPSZjQbcOkMBQpxdlpH0AgmvaKco2DSBbzIqVZAyjXA9eMVfFER8W1IMPKnoAEMpjRLimIlTlFuI1Y0oPSRhIZM2yuMeK0UgaAJGigyI+ISq9rsF4Wl1PrJuxtUyJOsc4FcZaOG0hQgZcZIAxTAd8zcfD5F18qlRZk9Zj4hbtcZXUiYC6XEytqwrK0v4lwzodGRmbDLCofq5iSHuV3TWCmmdjn2kZAAOW9IEDOhd7Kgbxl6yZAkbYPCYEjSRXMGjZSvY2epsKhhe+VUQIGyHTKZq/z6ltjNT5q3cUnpcczahJNFFR/HV2ONIgmSoJdL9KAHc0ZL0wUR6t4hZG0Dk27kzibRZosmtfvirrVyxoso/kOnI6srK2lQIAY9FWm2kaP7HtxPxCoYMnVI6vqYrQwkTvkvOeEABDnwyPjxTAN6CGiWLJaHTQcaYnXE5toypi0GxH1CEHGiDOODCW4LY8XTUajxthknrLEGG5WBl0QjBgBwR2w8U4z0pwSpGatQsGTjJjJkni02Q0SU2ibnStujssK4zpsUitN0dhmo+4HLsb6wR1+5/epjvevST3Rb0riPSMilddV/GZA5EFw48ShF/ftX1ysILAmVo7LVVYbAhpNx/p5HpVMT8/MlRsV7hGI5SAYoQy6t6iNsl4ZtGWIjBhySx2R5EVMPpVz3cQ75GA0R0aEyBgnQAyYaNO6CquwfH1RJlGQwW5IhMSBOENB6wBV1gWpxsokd2BpujKCRtgNGYJIDcAAQCTFE2EsxBPuY1wbspRiIcx2LKAK0xHhgYQim55w9Ug7ppzZj2hbHklOnmPExZUgAJPBzCLVCiEjhsLBDUhmRWAVsE0yhZUREfxrwy4H4ASoFglSHBkRgJgKiBd/pUcb5DQ7AXxKHweukcR6owDNLjTtclEeQGTfjRorIx22hCCu8aq30WqWhGkEhHvP8iCpJph9thCLEXNCQIKu2nTb2NEX970A8m2S3pt4Ly87WW0IqGGCiDg/z48V5+Ho+FQxYCBmPiGyiPvXYnFmrKmf8TcDjb+4OZtjCkGQETBAxEwb95p6csSwN6erYB3VjAK5GOtR2U/VrmbmLts4hQbLEk1sr1G0C4LUF0z8jHPMpI6eX1vRbfWdIhLDW4f7qc5QQqyPVVWTR4tNtpt16QLIUqx2uTMZEnBAn2j31MF9L724WFwAIBVYabDy8kXD1YaAQjjn5XL5Jz/5yfDw8PmdPj45NRdmObeGpjkufBAQycaXBHyGtRlySpi8LgQhiuTCxEWiu3Dd9ZTvhCYeZy1Ma6NNzFMaR6x4QGtDrRYCAruFdV/FuUnDWewO2RvMxSnLowpgtSXhWrpg7F7qn0nxd/Ia5RwMUpGASLCc4pwAWBE3iNjHjDPHuQp1oywEUZNbpBOmCbgk7zevR9SSsETPmyALkX5eTrPnY/BJqlr/CDgyRALwekvzXaPHXtj3okzB4XbsvF2OF11WJwICwCOPPPKd73xncnLyPM7lnCYmJmbDLDKGBExjkA1GpHc4CIVuhpimn32nSuHFkOuvy6g7TpQu0JJT+qxIQJnGHZWaCcARRSQgWACuUnapiWtIahadjJVRcCn1ebDW0jXeXlT5rzQW6NhAAIhEAkpdEzXKGPJpo6SOjImAjom208BnXb656UlgEYkETHS5yiuSH7WIxPoQORwNaTS0KBomaXFEHY/NgC9HnV4TsYrUvWKWxqwtRGTACTh5yHdOHTr48svFhQVQV7oKaODqRMDZ2dl/+qd/etOb3nTVVVedx+mc8zNDw4tBioQCzIVWat2rpM+t1nNtQNTDWvNBDXkRJ7IwY6mlggkYIx6CG4vjQK0w6inIU0yQkEkjoLBPWVmw5KR/Re8AmlAYcQ/0IYf/xhiLcTUIFHZQxniEpaXSGAGt+2bwBQXpNHy2aQ/V5TnWPRus7cqbIKNLIfWXTS0w4NjUNIGPlZfNLU2Bkjiyak97ReR/rXv4mtTj5j0ymkvMkBhBMeZxzoERQ2C80V2Z6Rg7evjI4ZhhGgAuVxq4OhFwZmbm5ptvvvvuu9va2s7100REU9Ozi3UekqdBisgBuAjvsyzcxt5sQR5YR6WR3FE1xH+4MKyLtZI4EmGliI3KEkQAdU5AVROSOzgtddNEzFi5GezrRkQZEijP4qLPDMmd8+uowMsJEWla6vTVjQSMIZ3TOfUdkZju0ivVt4RXWRFP2wOge47moaGt24oTwLVzoQLB+OOQN5NUP1EBaLSg/ZKoc6Nl7EBFouVn7y0h5G7HeuP6DBMRk4iQhUge5xzQ9znfMX54/4svVyoVu5LLWlYnAra1tX3sYx/buXNnNOpkBUIE4xOTRZ7hwJjgGDLZS9MEQQnhLWq/+K+qmQASPpUEhALKkAEDDkyUSY0fYpXZZgBoMAW5VmOtw5xZPNUapfIkUJyREaE0tOl69Vh12rbedod22fHPQgW21NtI7w2QqW3bJmiRLNsNEjewkp69HBcRKm6clc4rHjECSkTTl5x8r+Pz80g6RigRXGxvrNsraBpKYuGxPve1xEJb0L3S9z/BkE2EhJyQMeKcCHlnZS49fOLYseOx3l6usqoQUD/Crq6uvr4+kSa6VqsFQXAuHysaGxtfDNMgpn8hQ0SQFjdH7IcvzXH2C6fSHNsqsDnTMgIK6sXUkhpMZkYAFpSxOc9COb9CMqkkHwI1GaKxzATmGmTgDIA0ESrPgwhplqJ9L5Fou+R+AqAz0SEanIi2UqnBkdwSoEJ4SJRa/mnGpnnw+P6IOwWSiFs8jTYkZOoB+z4rW2pCJ+X5Uf61jBhlvBngnA8VW/qNFs0x4ox7IRFDRMYpxRtbxg8fPHCg0XBmK12+ZPACImBE2YsGr6/slp3TndUviu/7YkKIWDd9aGhoiciYeMdGx8bnwzwB48hEjk0UkXXqFVHmKun2EHt0DKzhg9YbheqomLhr3mkRsUWKaRIXqeiZTORuGwEZEXAZ+seZ0JQBUATSiItgqgXRE+2v1iv/xm8nkiRfJHPK29N1WYzF6J/OLuTASZNBVEZAkiuvgx682lEgftk3XlwOuXus7AwSoAW3RSZakXZPRfdI6++qFeJJkYDCWiHgWyYrlB031666qkBQPIs4odaclMjSps19Y8RBJz5QXz4GHHVOF7TyDXAJjty6E0SmgM4K64ZYRcDLVj5EhbaNxP0eK5hHZAmAgMTEInYEBAyJ9y2OloZOnTx5EnRPhc6+IqvIJScXEAFjTlKMHF0JJp4fzRZncc5feOGFv/u7vxseHo5XrgE60kQQBCNjE4uBxxhDABLjy/JvJFI5Y9Oyrjh+dXFdGRFBVs40tCJDAOIMuYtYVh/0gDB/MaJ1xq4YHGexGqXLfWKs66WIEscsPocr0dlWUKSJKcHEwSgV3kCW46qJnRp3IjVv136Abl8ptideAzq2xEhnkl9vZ9+KEORcVGOX/iM1uYTlhpjLPNNBfdPY4cOHDoc8AOBiSVAAdplmDbywHDBxGyw4sHe+jjYFUf/U1NQ//uM/btmyZdOmTZ7nxSOYEkxyRJOTMws1Xsc0ETHJ1hDchVMTQ//UR16DlF3vyrotSRMAIAETCdwj75UiWag0bK1t6/QwcrIExkaLpWmq2MBIyLEZJBamnKOCYzVKtk8ZrBnKqBGnyYC2WQ3G3w00WqQNWG7Uponykw5oB2K0xkrNv8RWUha7LTJmtni3wT2YmEyKRRtKqiqOwBHR0N9U216ij5HiyW91onjEN8+emRo8NjExJeJ8EExy6ctOLiwHhBjY1ev1UqnUaDTOSb09j8K1Wu1HP/pRpVL50Ic+tHHjRhvvlqiNiMYnJhZ4JhTeBbHUgyA4dhYVEdESOz2O4ZYHmVn7LAXEblxkhCGOSAw5T+WBeWrdOqt10pmvAEUWLOmFBBCAiGKPThuj1GmzLcazULiBWSm2xPhWqh8XzxCd2DoewU2zNqYMi1HgYmGtYUcSZC1d2FK6bZ+DMtLpQ/qGaRg1N896j2WQtrqnUYCDpJGqlFHz0yXwTkmHZto/lV8lUv+S0USuCtxcmlsA4ypwPBLQfE2M8rB8o/ZqwdbbC5ANqt0jJ1599bDljzq3z+SlIxc8S77GQc758ePHT506NTEx0dfXd/XVV2/btk0s4kHKSlKtVk+ePFkulyOVdHV1bdu2bXp6enBw0Lbotba2bty4sVAoxNXtQ4cOPfXUUx/4wAfsddNFQzYURrcRx8bG5sIMIhfrWyBwBI/0mZaNz2GRJGd7JNwBbT1M5LyodVgGYtEGAIFyvGcXZQoxWCU5eVZAAIEKXpF8UGRXVa0qrBRQYuXgU/AEQEqX54DmLDVE5IgRq3HrPripX0AWNKNEMTKUlRvYAhcFUP8zczA0XJqVOe3CdovqFjZVMNUEZ4GnuqRDHg0hFRY3p8K45kjWfn1dsreAS2upJpBo6UgX4XxrIpGl4JrhObk/AZI1aP0ZonhVUTVOET2fh+umTr967NDibTe1tLYigFhh8HKUC4iAkbC4Q4cO/cEf/EG9Xs9ms9VqtbOz8w/+4A92795tw9DU1NRXvvKVEydO6Eoqlcr09PT73ve+//k//+fPf/7zP/zDP+zo6CgUCuLo9ddf/4lPfOLaa6+NNF2pVH74wx/efPPNb3nLW1pbW/X+RFuk/isYw8joeDHMAnHGxHwMTPj86qVpjP6rR3Fcv8bkaXCiA6BM2gpk5fBAj+c7wVMeX0crRANSqHcqbohyPKJYchgEqgrQVBHUYDFHPVTUwEHSI9BNaiwCrVWLTGrcYo8z5cNkaTZDWXs5lE/GsUIS2J1xeyS/Lq4LRanABsuiGr1oS5hZQamxETqGEvJ0H2zgsUA5eijWjnx/NGSTeiLNzkiEv2aYyMjxQ7mPLbl6VXDpAufJ3JCwrTafHzt95Njxm2++CYABXa6K8AVEQM3+ELFWq/3pn/7p6Ojof//v//2aa655+eWX//iP//gv/uIv/uRP/iSdTmsQbG9vv//++4vFoni/gyDYt2/fgw8+2NPTAwCzs7OlUum+++676aabRBM9PT3r1q2LNz0yMjI7O/ue97xn69atEdSzAVd3UnWVBwEfGx8vhxsRAUmsN87kyrD2pSVqM7HlGpIpof0qo/naI3JAD0h8TRE4kSdVYOnxjTZp67a2zqiGa9NRYPRKrSXHiopYGFksSdSZTaJhUGEnqll3FuG0OqA23HPVaEqijdF+GrGm94qU7uJxJ5SUexyqRXIUI0bLxtgRxfpA2lMcuxTjBNfvENl6qd5wqXEChTsvSQTh1xi7wpGnw0bv5Knjh45ev2dPOpVB/RW43ORCIaDLrWBwcPD73//+H/7hH77rXe/K5XL9/f0nT5788pe//B/+w3/Yvn27PqVQKNx2223adjM0NPTkk0/u3r37Qx/6kCjQ29t711133X777eIUz/O0hmtLKpX6V//qX914442pVCpyKNH7oRRSNjc3U67zGjFgqEI59IpcZJ/uaMSUUK3dgqVqWmoLytbFXrEENwInQmTAiMLaAvPz5KeYHYhDwjgpKzBsTi/m6WiRNtdL7pgVLqP2iJ6aDNIWxul16ay7Z3Eo+5a6sywALPbn7NcgaKFhFONI70eVGQEg+sURTVBEKSZloKDofrTVSUFRkwOGHN+Oe9RlZkknR0sScwppJTpSj3sFVh0aPBVbTnzxIpXYxHTJ3iXvicA1IZFHYffCxPDI4Mjo6FUDWwFQGI6a1H/pyoXqscut6ODBg8Vi8e677xYLdxQKhTvvvHN+fv7QoUP2KYyxTCaTzWZzuRwiHjhw4PDhw7/8y7981VVXNRqNWq2Wz+c558eOHTt06NDY2FgYhiLuLyLr16+/7bbburu7l+2nhj8iQsCJ8YkiT4skccpOIzLAGQOi/Gtdq86/BhFkBBMoI1tRZ6IGNUKmQFYOSUQg5Iz5k8ewOg9EJjgZLD+GsvXJeawSAUUPQYf1IYl6l1SblBtEo4/GVnkV9lIVpKeU6U8COV4LPWFeNA0EBExrhGYFXlKncLt/yj9DRJxIr3EccfiQmuwMkYkfeu4xSE1ZfCviKrCMYtPniSbIAA7plDma9KnvAbcLkKG3ZqqMej3kQpqkp74gEXHtV9M3xaG7SGRFHdnfDfchyqtKfKLmdoqbbltMTCEb2qJE3BgBCVWgoxgp4s5RLqh2jp88euQ4Jw7K4nvZyRuxXjAinjx5koiuvvpqvWfr1q1hGJ4+fdrBIEUbOeenTp164IEHBgYG3va2t/m+Pzs7Ozk5OTY29sMf/lAkv+rq6rrnnnvuvPNO29InJJVKZbPZlZByG6oIYHR0tBjGTzyfR2ur2hHeFy9HRGi8IBKysDoLQVTHFxZDPSiavf9O4/LN1ZYps/xbE5EM04I5i3uYmiPr/5rd5nIlUUnUxKLFlhXjVZYNOnCA1h5hf0Q0oBf3LcToW7ytZKHoucmDPzFZVaLOm9DAa5AVBE68VqhCQALywrBr9szxkycWF29ra2u9TBHwDWKt9XodEbVOiojC/NdoNBK9E9Vqdd++fSdPnvzgBz/Y0dEBAETU19e3YcMGxtiuXbt279596tSpv/3bv927d2/ifA9asVlCURMCgpHRkXme0T1x+Zw7+jR0GhhNMvxpr6xWL92W0XSVQPEQEstzJkXZK+VU1Gu4G1pcSXcVnS5bhUFqgQZJRX+iC4M4sGFF82kSaq5F/SQrTEjhEQgOYfTE+PiPzL3VfNZpSLI/0teieg4q6WvEvqY5LGhWZVqxkv01wSPDuHUjaopLhDXpK4XYPvcyIyicHDzwekmE2S1RcaLW3Lxe6fIJW2sLmfHTp08PvqYcDhdV3ggOCACpVIqIgiAQIKixTyjFkSAVAJiYmHj66ae3bt165513iv0tLS3vfe973/SmN61bt66zs5Nzvnnz5j//8z//xS9+ccstt7S1tUVatHnl0n0jArFAbxjy6Zm5YtiZXM5CPYigBMgRnNRSXL8wGjGSzEgglGKZIoE4IGOACEypS7KMjGuRaq+O2jMKrPjJHFdv8kUbR4fCQYVf+qbELlW9+IYbalwzbhPF06QKjArLyAIajUHRHirYInebVM2q2wT2J0PlmTdRL7INMpmmIvCquxGhlAlPS97YZoeszpMpHD2ESQiBSeQ4Kcf4eYtVlaVIC2KO7nNwe9ZkWwpHuex9Nmh0TQ6eOH7s2t27/dQbBCavr7wRHJCIBgYGEHFwcFDs4ZwPDQ15nrdlyxaIfQmFCvzyyy/feuutggACQCqVGhgYuOmmm7Zu3drZ2dnd3b1nz57+/v7R0dGFhYXEdsfGxnQanyX6pg10pYWFuVK9zn27P2Jco7Ln2XgTKxYVnShBmw7NKTKc0KpHKsGECkxVJivdCpl5vrpnEgVA4YtxksgW7XRYAuxIxRJKdE2AIZTRJ2RXZV+oFe3s0EYdXeYApQVAuh6ZI1HVJgvEFFVdwL21EjvIqVVRcdEuOZ8kx9OqrG/2a0fGJCeQXcTEuyYFV1CySNQnxjoZx/elZFmQfcPENgKqfWj2ExEAA/DDsLs4sTh89vxSEV8K8gZpwbfccktra+tDDz0kfnLOf/rTn7a3t1977bWc84WFhampKV24Wq2eOHGiXC5ff/31GjIWFxefe+65J598slQqiT3FYnFxcbGlpSVxWfTBwcEf/OAHIyMjS3dMmNXE5vjEeDFgHL0lPsGJjNLWlCwyKxBPQ140Vkam7EvglSK/FHE/zWVMojJro0ITUnZ6i56graY5AcakDplmFPUz8GopmOayNLZaPoFodw34ar0euFWx4XFmPKF9rn2/NS1S+KswTq6hpBYut9Pw6DtrMT55Z7V5wWqWSE1icRDTfNocifA0S5cncq9rCfCKNWfdiiZmgZVK9IHYr5P6Zgslx/pmECZS1YSOg0FD+3MirDWcADJBtTB2+sSJU80Vjkta3iBPyMDAwLvf/e5vfvOb27dv7+/vP3PmzA9+8IN7771348aNIn3LqVOnPve5z4nypVLpxIkT+XxeB8oAQL1ef+655x577LGPfOQj1113XaPRePDBB0ul0o033tje3h5psVqt/uAHP9i8efPb3/72ZRVhAYIcYWJquhSmSGhYqDO/ND2XiOSSxA7wiUoh8kVP0IFi1QFKJY4JRaNjM2VaRLUcyMVC7Rg1kCH8FaJqijouKFnnMj0jOaKxydEYQzEeD6MdO0RLsbrobFzZ86TOKC+2rYYrxIl6tOPbTgyjylkCqOL+JPxFOZ0FIWSBBqh6kgoLYHAORi8nSgBBtq7CA62lABNuxErF+sxF/6qocbf5pPcuCnDWseSX31i0CVNho2v6zOjwmVrtlkwmc64XcNHlDVLd0+n0v/t3/+7P/uzPvvnNb3Z1dU1PT1977bWf/exnU6lUvV4/derU/v37dWEiyuVye/bs6e3t1Tvb29tvu+22Q4cOPfjgg3v37gWA2dnZ9773vW95y1u82GIa09PTZ86c+ehHP7p+/frl7IAk+QTA5ORUMUwzQCtWBcBoqXonRvdHgq6bUEV9Fi6RR0VqjwwAoX0DsTQaqJEcTa96odRbras66q0+RcETaNrokjJLz7FAx5A1cYpr6ZM9aKL6yeaMD0gUV1gmD0UC9MAmquY0g0I2CJImrTZgkRMMaMOT0XAjy/ja/pkICJgIJHPETINd8q2y4U9jLplWLP9Y9Mz4vbcuJ4rIsdtvY5z4tLtF9HsR2bnET7NHqcDWZxq4z6G1PDs6dnZ8fGJgYLPbuUtEp19K3jjj5a233vqf/tN/evXVV8vl8g033HDzzTfv2rULAFKp1O23324v6NHS0nLvvfdWq1Ub2nzfv+mmm/L5/CuvvDI7O5tOpzds2HD99ddv3rw53lYQBG95y1tuv/32lpaWlfUOGcDIyOg8z8SwC0Erq+K9Ycb5GxlQKmCwSRuxABmKHkYATogyQ4KXEXNRpFnQhDfLyA+Jo4hIXLzsDBG4tTCIhonIIFQoCSRWqCOt4cqGpJZE4ChrBE7Iscz1EoF/AlJLuwEoLqgBGtzaYoNYRi8DqCBtlL5gMlq8cuJaxFOHwtjjGwEBQgAZ/UeyKhQZd5w5r9rhpAm1vlFSKVDaOun60QZWXZV+MyTBIzVP0eXgtvlJ6afkBMxHRaKPid+SXN/W9BPPte0vKEM1I18Bt7zTKhElzOkkIK4fa7ZRL4ydOXV6cPPmTfL1vwygT8obh4DZbPbmm2/evXt3GIa+7+fzeTGdI5VK7dmzJwxDXTKXy914441xj1g+n7/++uu3b98eBIGIp8lms3ECCACdnZ1vf/vbN23alBgvbYlR5Gq12tTMfDncZL8d8Uid6LYcFEbRjrO/Zowv+omU2CYAhBCQV4uQzoOX0ZlQkyDDBIugGkugfya8iksokmB+uiqeQn9T2LoRkVkN7llxlpfUeYuZRCiOyxMFmEqwsqmZbAiVPi5oeCT7gO2JNiHH5HQjAUjsB2rZNK0PWLTbyTikWWbi2yCrd50zbgWizeaeYjvhpiyZQNGj+5pjVXOai+JjQkDICCkdNjqmh8eHz9Zq1UxWG+UvDxS84Ahoxzmn0+l0Oh0pgIgR8wFjLJvNxisREYW+78dRJiItLS3d3d3xtpL6Jx90sTi/GEBAnkhygYgQxzuxFfFdYALqAbhqTrNPu6V2CtbGkTEiQEYEbOYUtG+GQo/yFStFEm1HrXJWuCohaV6jr1NTPD3goyNMKdGoAqdtT4i5YFkYLECJIJEVaiM7GWkpAQWU1uyGHLqM1STFMWXUhuOzJMPXXOskaXWe4gAtT7e4ISRtxjVJq0u6v6pv6mLNoabNASA1x50oeIpam40FivR9peGxQjFozihF91Czc/EqhrnqXDh2dmxsYsvWLYLvXiYAeOF9wRr+4oco+SuVXEmkwqVPZIwtx/5EBwDU6zs+NrHAU/a7CtHtCJDZocdOmAsk8EFUCrJ6jyPwimrCg55li+iVplijrBuT4xztoBaNUCQhRMOBye0O2gtgET2NHVJvBYNoNr1S5VFCjI0OyqqoznIiUwzgysKWDmuZL53+SB+IgjPdDQsW7X82aZWn20QV5S6IsEjbXxyBFGX1UxPZFFBiU7hUXx3rY2BVnrAdr2HJn0uWXp53RosmBOzHSLk6sAyAEQERQzkbk7KNesvY2TODZ5PtsJewXFgElIELTT4+Ef8p6RmU7p5lT1y2A81EQI9wVk6MTy2GaVTzV8kqoz0eDg9Q+QKb9KoZ67MGcbw7gvvJF5WQOFd90eNQkzKxrDBq0xGBtsqpPSTsgwAuaEa8DaRcJRrDXVyzEU1euR7wqJfW1Bjd7M1PihN2b6jzwwrPc/IuiRnD4HBMXZ0oQ2QsiVaVAAAM5TuGdgfsL5m6ltiVuFcliyVy/1hhc5YiyObKnf4nn2XOVgWSkVbveU3syyaAusXIOOIi9TeSuMdImA0bbTOjk6NDlUpF7Y729dKUC4uAcZyKwJx9Z22W1Oz0196BhDJAADAzN7cYZu0XP3ouJm7GfkkwMTSQokVi9wT0EOf6sEBTK+coKBcEuSNAv4vNJoGQRp8YPBuSBRQZOoagWS5ftceMVh1TbRVADbJqwDvdiFIXm0vH40MsugeJ1xdhrDZQ2pVIUqcOuz2JdCkG+vIK4oRR99A54vbfvalLyVKHXRufsi5EZSn4o8T4nBW1GDsE4jvNyZg7wlx1vjE+NDY2Zrd3jm1eBHmjs9lEYO51oXKJUiqVHnjggaGhoWXrFlk+x8fHijyLMkFBLMAlinKWS86yAyo9zH0RYwiZgK2WdqygAslaxVc3CwAqYkJHIFvt2awmcplmg3Qlek9ztJfcyq2/qVhzVHSj1ikGSZugj2J2qP+aA9riaXFCjPTLlNH74y9PTIO2kc5FvcTvm1NJ5PPgHLJQ0hxd4bu87J2O/G6iPDXVOABgmfwYyacQADCSX2fb8ZQJqpmJ4eGhUUKyQqFeM4u5wHJ5TOU7JzIoHtIjjzzCOR8YGNi0adOytdeq1dn5+SrvAOmIAAlLJvIgKc4llqDO0taaGgHR3Wn2EABjhLItsWymCtIw/E7QK7msh44fRgAJmaD0XPmSKr1Yne4yQQaGdKFsiEf0brCaNrTOZMAXO+QK5eKuie8/6j3uULPjVwyIR+N1tJCxS8j6QXC8KEwb/i4YiiKkcozqqBGNSqjRX9n8VKyPBX+RKSuWqwLjfFbfTNlzUN5rkgxUhknq+g1SEYp5Fnbb+tWQ++WVN4nE1E2bG4NmHwMFvs2n+UW/FhTpg3yk+sGLDosbSZmw3jY9PDU22qjVU5k02HFQl7BcfhkNlxVEHB8f/9nPfrZ58+a+vr4ly8onVJyfXwg8uSgr6tEia3OCAV041m+ishXq3Ut1EORbo2BR2xlFQAxwEsGmvTso3y6D0SzPgxzJBMwCAea8946O5KCPE3JGFl+Nch+I6r8UOdG5JmXw1dHepHbKqnQ/Lf3NcuZadWLCCEfTBMjBKE4xkJFMe22NVFM/dYLkwjZ5igVpg33M7KFkGLFddIYAUvTeJp5qRRcSRHRpdTlJ203qSygo3uLE92IJ0c/cfY/MOyb1Eo+HufJ8fXpsbm4e9Qt+qSvBqxEBAWBubm7Hjh133313R0fHMho0AQCMjY0XgwwgQ0woreAHIMpGExLuA4BtBIQIANmzLmIdQQImqAIhIfL2jTzTCgoTrBhj+2yemHfEcCW9R6+XBAByPSDTtvt220wkWrmx42vGpFsUfMdc0FKqXGy2nLLAx0/Rnmhdrc1u3FMkp42BDgCARVQjfVluGBA5znfdRDTTYqKLDq2/bpfOFx1Wqr2i1Xj0lKRhEQe7lTI4cd3ZRi01MTI6PmEfWGENF0tWJwK2t7ffe++9u3btSqVSS2rQ8tD45GSJUsq+G7W+yaL67VZTmmL5/iK1yrMSLElgSFPkGAMUyiwDBJYCgTgmqIwzudqRyMrLUeWJBuCAXDEItBCCNIMzjMkocJpYRfvoAJlCNwBQblbQA0X3kIiIuDJ/EyJYq4jI/oNCZ6vNGEWyyWM0yEZs2ztV94zDR32BSN8cbWE0VSGBXFpTXzUZXTsmS1Aw05ME6hY7yboQCwvPgSs5cEaKyC7R4gqbiLiOUEcZrKxvRJAN67mZkbGxMW0GudTxb7UiYHd395YtW/SScs1Fkp/52WI5TJG1BzQ8xVcBFG/GCn04APp9QjScKe4LQiQkzlGsvysmx4mFSjQHlQqmWF5W4LRWhJHk4m1IAMhRBQmiWSJS98dgos2qbLgBZZizyYAVn+zUp8CPIyKTaj0ypdWhWkXTxNAAgDWdzoVCsio2u0mNQ1SaVTSQ2K7KYI1VKBprRdYJTk2qLfP90Llk1J0hSMI5Df2ymFW9ade4qqw6l/V6IACwmEvfKbI02qwAxZzTV4J68eklHg+zxZnF8dGFxUXH3HIJy+pEwFQqlU6nl/efSEsXjY2OLoYZBBm8EoGnqKobMcFbmk+ibmuxKflOJMaRiUBARAQCRI5AbPRVVpoEUgn+UGcANUEzgvfZS26jnKssiY/lXSVmT2NGUh9q5Y5QFjrjlKDoOj62F3UpDAKuDYKQkOi6uejPjzP3Q1NmsMadChFXPURzjOL9VM+I6xWEAQC4fQ0cFMO1KoTI1LpYT8GUd1VgbFo4Xs+yGZbjaqmNrufEH+U5sf1RFXhl1dqrqgPjlK9XaHJkbHxc7bvUZXUi4DlJIwiK5XKZUowxMH6uqKi3WwdIx5DRCqOJ+nmbC2mcEtjKiQNDYgDIFiawUUFAZXICBlxwBwRyFoeUKjCPNhklRyhzfsVUOkvn5REDG7oIiKSiYI36yeVrhNLQJgdPRAVW7NUaF8ptrfPvU8xApUIdXXd2JLLPXIKa8OvOV+EEyJ3nFRuarn82KX4bXAupat3OAQHq0evYQ/NtNAbUSOt8afhbYiKw9RfMt8/ur6yh2bnmpxtAs3TrUdAgUjeMKNOopadGx8fHBXu+9EnglY2ACAh8dmZ+seEFxLhY47E5czQEMD7FP1Kr5obWoFMsASOlZc2IwBAQkCEISOCBsCoxQBZ9ZcVZZpwbldaMJ6PH6T1ka3Duq279jUsyu9V12OOEJbkDNHVVcLZEW+5Z0Z7a7tqkkU2kgLtpbbYw150FLue1YcsuI4lbvDobwWN69nmEtS4nCW+rPSfa6lb0xHOrd3kok+9xOmykZyenJ2cCHjQ1lF9KspoRcGJiYrks+ZwIJybHF8OUCsJjMkWLEgBw5jWrIcFsmHPEfPU5gvWqESKp5MnMNEHCryG8ipwDMA7IkalZboL3SSuYMPapVplkWtbUNAImJsOpNTZRIjLKUEFJo7jSlJUvRdIZ8R4bG6JWJCNRvhYscECOyLQhEgAY6WKKBqLNWO27ZcOZcbYKbiVmv5E2EQCSjDGzaKxKTiOZsggeMr4jAgCU5NPVx0UKVTT0h1kFRJVIgMB0f0ByX+NGsnRRDmoBTwDbSqwB0QoVskICCd3vB8H/z957R9tV3Pfi3+/svU+95/Ze1K56RxIIJAQSTRQbkAFjB5tgx3kpz1kpL3GSlbfy1i/FK06c9fISO83PznPcwN0YY7AxRSBRLEQXIFAD6fZ+Tz9nz/f3x5Q9u5yrK7rlzNK6OmefvWdmz97zmc+3Dkq/qNDcFLaJII9G9ZUr/o5gmuSN5WCulAe6NwBExIFARdb73/BIxPAkccbdZGGmMj4yPTVdI0jpvVXOQgQUD+yFF1743//7f7/yyitznssAIDuby3ObiIA4sKjl0iftAkikIN8JaL71EdogVUm0lK3QEEF4JItpaSR3CEhwWvEXdFWB4FeUwMdDBMRvtZTcx7gp8qRYU1cVdvHR1/uarv3mU002pGFXdUAe1sJ4SHoPNm3CtIfUtZvTJaisxEAfTBONTzOoIc83JIavvE9Ph1FthUvk6M0PSwIkFoxnNR/znYHc+o6JAh8Cnw1vIkKgRLnIxodHx8Y96fg9XM5CBCSiUqn0ta99jTGmN1qqWRCHB0dmuAUgXFEQI/JBenWDcJcxZ2p0rf7kWCqOASFyXZVFqPGYMG4wBO4yYNKWKv1garTlfTH/iskQCM0kUJoy8KRRKQKjOeeVAs5oSHmQoG+78UhJUcOnHk0TtbWDN+puaku0kSFGdwDRNHR4szO0AARzAno/GeFxcykBvarkKudHTwzCiz7ZlH+N45Gt+AoPHiWTthlHIFIZEYjimAfizE8WDyv7oi8z+8aBkCBRLcYmBkZGxiJcwd575WxDQPE8BgcH8/n8jh07Ojs7T5MeBmBifDxPCWSM6RkSsGZoU68nefhOAPVqIrJaix6BEjQhWK1ZmBBmhMDc0EWxlEQi2TTXnoBMYBmSYQYh5Tqje1RjuupOeU5b+vwwwQmyrWiIYRpJuT6N+fuAESCurhIkWnI3swd+FPYFHQdYXih6W8qyXq88rkIEEGD8XB/3JHHUDcmh8DYimbd8J4crGEIZXXhA/xZYvdSHSI/VEIDPtwTmyOmdKGQJoocQ7mNuOTYxMjEx7lar8+/Du1XONgQUah3O+U033XTuuefOxydmanZmtmIDESFjIY5moiFjTAk1HlZiKDrY7Iz3oXYvzBgSRgDIGGcAQK39LO7L8i89AT1PPWKkPQGBmb4vPiblaQBlCQqURmxDCN4MpgbKEu3p+wCk8Zcp8sjIBzrh2jTN09WGZXmPyxKY6raoDoISwzxAZOQ1zYLnCwLL1a1LxDfS8NRcPNQZqFezGsWg1TUIqW69Zh1zFOnaFFGxapTMhcHfZq2rIrqkjCr6hKhG/T1BIIvzeDnvTk7MzOYoihq/p8rZhoDCatHd3b1p06ampqbTnj8xMTVbrrhgEQAQm4/jaG1I9bkKBmLjgBCRmZ6DAT8OjsCROBAjDsiRAGJJsm0GZMKElENrdE3Xrb1VGMlkB6gSJRiwCBHdFX31EM3LthI1h3hoLKJQzx8AF10VV9K6hz8mTnMx1VRntNRq0EM0XTqCoEl02tA3Ey8EGQ2ECRvrhH8JQW9NMlSQIBeHQCtzQFEArCO89si8x0DlkY6BGOCrUWJy8Mg8okcoAjqIgIQzP8QrZTY5Mj4+Dsjf44FxZxsCCohJJBLJZPK0aaKJqFDIF9wYIGOIHBkL+jt7dQJ4fk8UMgGHRWZfQzUy6ftq4GLaIAETPtDCqit+CykBOQJnCKYIDMiBfFgT1RGjL6Rmqe6DtH54uQk8y6NnFqmpyPcUbfP0gtbuxz4nJJ8gzMITVF2qTc9omqf93SMKeALO1TG1POh+RGEKwekIYHQJUVGAsKLwjMEi3JHAkfmoBTUj9XS282w+qCRFQEJAFquU7LGBsfGx9z7CvNf79waKTz03txIQcXBwIFuxSWx8xYi000YNVeDctfmuQuMg9yczNoRi8k5jiMgZMuWTzKZPQTlvtMARpGdgeDoxREZEEahXq0j3aPPIvHVbmihpLqbsHvqAv+rI+e87jYKmyoC+z9890qL03J2MbHdesmfYvqMzU/ubQAqTqKjaTteHWkOkLpjPVPVpO3y+n29dEQQwYkYgEgAnhgBxt4QTI2OjY+9p+gcAZyUC+kShuZGLIJvN5cFmhIyAEXFkzC/n6s+MMRUVAgGk05xK5Dsh0zFMCObMmyVSpQjSE9BsixEw4hwZE8kRxo5BcYaRPJkRAHDpA6g8y7QSUJgUGQAjjkI/GI1ohAJJFYIwIEbcwCGuMkNQQGUmlICGvo8jIhFnSMwwksrx51I3Z5hZOZKR0Zo4EoFoWroxczCy/BOojaFE7dITkDQNI4O1qVTcHPxKQKlPkLegYvVQWEU8EZsFxFUi5Np0QTpED6WmgfsHVvRcrQGMiRfIHH+jdoNK6zAe2TngQDItBoQUMvJGlPM8EkinBRLaDgAmx0wF5KL6UDsjlrhQ+Sqg908+R182HB9W+NSF8v45IzmqlsvjhdnyzPRsNvt2oPBbWM4qBAy8NJyHneD8BWF8fDxbsYiBkUbEM4YYbqViQWWICKZfhZ+1SO/ZUMAcRUkjAXFbvYWoxGFO1QLjlah+S38URhSYRWb16na0lso3FCwQGyflaDhz/wWl85KVmBXOUVB5CIkpLCaroceUHVah0OaVkdVF5YKO6GvQndu7PuziZ3YmsrIah3ktZ53Td+/MTj9tme+jjPT4OyORXFzGBQQTAUDMrdLMxMz09HsbAM8uBDSf2ezs7H/+538eOXJkjvM50NT0bI7bnFsKEnzCb3T9UT9GXlJLVxg4oikkoogOYUrTLJrzoMQ3o9A/UaP9I3TWA3FSLVnUD3xoxDYAgGFlDl3n86TD0Ba9RgnfBWmGiERE3IAbkhkfJK2T65Kp0jfdwk9btBlkLk9AhEjUPq2mDaLFajL7qsUKswORkH0GqHMmGSdUi3P8NhcU1FxdjKsIkBNyOZKUqFTsqbGp6ekzuqd3vvxiZMk/08I5v+OOO2zb3rRp0xynIcHkzEyOtzLJAZGIM2Z76u6QQhAg6IulApxQezuLl8U0+wpx17skyoGGA0MgYsi4yxCQqiRTzANDLm3FDIC4IVKbKzaXApCBL/IDyrx3TMOTdkYR2kBCAUYB32opMKq/3ldP0hRGBtJKNwITsmWqLm1WBiGuqsz+3gDpTSWC+ILCSdDv7ufjZSg2pOYUNr/I/hj+iVGFM+Ckd4/zZPAQ+yOh0QinD/U/TDnqFLX1r6+HZ8gQa+FIGJBVR0h1rnZDUdDGjONzgReRKdsgKmIvVBqJatmaHJ+amX1vA+DZxQF1GRoaeuSRRy6++OLFixfPcdrk5GShVHHJUvo7ZMziJlsx4E/MRJ99AwAUsSKtSAoIlxidMyZcmDaXIBIHFAkGtHZJ4o73OkkfQJCGEdMTkPk8+FQ3AUC4TIuXVLM87fOhtr70ecx4lXDdDa9SIgFwxv1KuTX8YmGkBIoeYhpiqKd+8m/T5PUKfVcEFHP6gmBcij7Ignd3mhLOCVjjQZoD6/03f7pao1bP074mGxN49Mai0OZNAKP9YFRhYpVAQMZst4JT45PjE2/Q5/GdKmcnAuZyuV27dl144YV1dXVzPIDszGzRjYF01ZMHBYJFvUgI6HO10JINgi8UJARzwVWaok/zfkfGiXPGLGCWzp7kyWs6+oIAKDj59XmoeFwIEH05neQRiiIyAGDOXpXcRdfvL6bOLtp1xiAMap9F8phneHtf3Zj2iTFGmbzfjcAyMwFXtEgeygkoKiMy70inkPAfRD/wAsic2PIz1Qhh9nf5jIvGvvD1soPaTV/nXCAxABj9KgdqDtcfejnn9oU2JCQR7sjB4m68mK9MT2az2dodePfL2YmA7e3t73vf+xYuXGiStXAZGRvLuhaAbbwkhMhque/VSBqHihRKqgj+FyhgW6jlSyZ1KEREiMAYEl+wGdPtDFGaPoS1VEVliLQusjA5XQP9PXPdOiHjqoMacbnpGYJKBDZdc82mPRcigkCvgisDkd8EoftMACJ+mcu/ESgvSBxpiyfIYZB27RBehHIfeMBl5JKJHDE/NGONsyLLHHHK8sNpDQ4UFXQU4Zrja1TUHTroo+unaTe6KFVPFLHg6nYIEZHibpFNTczOzr6hht6hcnYiYCaTaW5udhwHAGZnZ0ulUuQDKxSLRe4gIJBFYndKk2REeaf5DiJ4/MXU+gUvCpbIxZaJPRVF6B0QEEMrgQjEXeBeEs2wyAke3SOpegPfjNUnGGEekgbi3GbLGs7P6tTgr2rzIx+UmDJ1VF0e1fLSoAp3GfMGfI2b26qpnkaI/DX7HvVYSP9kCLzk6QMpaljnAYSRtvU3gD3zlCWDdnP1NfJyBf01mzsjAVY9OWEKJ05kuxWWncpmc/Ov5J0v7yYCzj2+EfGJ865B+GQBQC6X+/a3v/3CCy9UKpXwVaOjo9Pc5kCIDBgyABJOVaooqYehmV4+ildqJSD42V+Y8GFUXJ2yjSAD4c2HjFfcsWM0eYLPDsPsKBVzVM5SpQCMMS6z5BN3vRBgDlq8Fbo+RELgiCpmFrl42t6dSFFPZ8MXNwIyaSABckCdktqQOrUU7+VtJhHTQgAcuEoZLdGa1KYlegQUy/NUqVz+IvzadG5Dma5OPAlxVZCh6ngYFGRZYScDzgADWlnREJPrAIFqLOh7579GeEABoHGe/MDUFCLiiN66gurl8eR3w0uRkOtL0ZPKmbZCiCyBXn+Mr2HIki4+5ruGercv/R+G42uk7V68KEBmB+R9y6vn4n1E4lr1VEgOLALE3Aqfnpiamg5f9d4pZ2YLluOllo451pD5lLkr8VhV7VZ8JtrQaZzzn/70pz/96U+XL1/O/Ln2xMmzMzNFbslrgQEiMgKOaEWu235flOg+exMzzArnHiskROQgwYJo+pQ79LLV2GIDVCtldEuIjMdTTu96zhCB0C2Vc1NkOcwCDmgDAJJlx1D1FAUBISCxGzdnwszBCRhKhQ0BZ9J9W+mwJI/kAqqJkJCIE9PqRYEbwGVyVfniS9AEYIgy5QyTuj5z2KTFWRNDBJQqSCWTyuQ3MkxYRjRrqmjSySipX31Sak0KcVx9VdTGqL7aQmaFYPAHBg/4z34TFgAy1KNec/pIFJH1hwifUWORB087ryPnCBMbZiEhB3TcKpudyeXe0xwwGgHz+XxAfxmLxdLptJAr3xL40yWyNvPrPFsJnEZEp06d+uEPf3juuecuXbrUsiyzZkTknE/OZPPVRkIBPUhETC6VQXXJHJZcDB2v5fdXq88GVjIC1yJklWkaeSXWvthq6GZIjFcYEavmkJPAFSRyy4Xy9ECpVGAIwGzLtm0nVtfcjZZjAQGvlstF5FURocAQLABAtBiK/Aja3oPyfrkEIxTByFqaJiBiKGzISm9H4iBnIlKDiAERY1AFQE5EyDlYDLjpvxL4IB1iQDI9FHE0yhouXVt8fI+8CxGNjZ1VPaQiW9CvIfNtjSQZqPE4yPefMiOYjBVB9lAJxWbxfOPnxh2DAJLPnyqcW0IejPZHQf9gUuiEYJE8PEqHrURdf1YMP3D7XV6Mg9oM4t05iq+otBiO6zq5bCGXdV1XT8D3WolAwEql8vjjjz/wwAOg6BIArFixYteuXd3d3fo0kwy+4aJr4JwLhZ3jOJlMxnGccOWu65ZKJc69l8myrFgsFjm4hULh9ttvj8Vil1xySWtraxhPi8ViqVytcgtFGgI5UyhgytA8J5x8Tls9ZFeDfjBRN4zGe+IvHBCBIzEOZWvkKLMsbF7IYnFCdNwqMWbzNBIHLh1QWKwu1boYARivupUCuC4TXI8AEdxKYXr8FK8ULWZZtm0xy7LsdLLOTqSQgBPn1RKQyxAZAENgSAyZhQCkk3lwxiWRJOIC+hhpmVr56ImgPSTO5Q4DAIBMWHRM5+cA+TLwLDzJSNQB6LE5Mv4ZbjGIYkDAryFlBMiwFiR5xBC0194cnEcJ7KfZABd97c2BhsiJovWDUY2fDuCimaYc0dq9OH3r85ndBFIEBgCtVRbfGQAROJVSdnpyZmZmPoma3pUSgYDZbPall1564okniGhsbGxoaAgAbrjhhq1bt5qnvWH4CwjRRFQsFg8dOvTEE0/Mzs7W1dVt3Lhx7dq19fX1gQtPnjz5xBNPlMtlfaSjo2PDhg2tra3gxxTO+eOPP37o0KGbb7552bJllmWFJffJycmsa1XQErQAkQMiIvO8SZQKRXZb0b1aMnt4RY6yKdccMUYcGCAQmx3F6UHsWc+cOAJHub8EB6GtlFSMIzI7UccAkFwnkQJeYUgMLMHomBNvbOnhlTKvlIDcarVMnFzuCvCqlgvZmalKpWBbFmNoMWYzlk6mrZgDCERUrVQQOFMaUEsYyIV8SgTCXA1KiwTExZae3nYiiOB6NFMQO5D8ziAx3oTxjw4GnFPMtQW9GjxMDI8vEui9MRWzM/kWqWbMLkRUCD4U9loJiMC+Hp5Jgopw0bSj1u/GXeo3bk5wjipK2Wf6P9dyuAn/FNkWERAS02oLArDdCs5O53L5XyQEzGQy119//UUXXXTq1KmvfvWrJ06cWLBgwXnnndfZ2Wme9obZn37AooZqtfrUU099+tOfjsfjCxYsGB4evueee2699dY9e/YEyN1jjz3213/91z09PTr3/erVq/v6+tra2gJNzM7OPvnkk9dcc815552XTCbN3mrqms1mi66N8iViJMkOMiNiXsJd6IUOMErza1hent9qj8SAAWfErbFjUN+JqWZijAAtcqWmjBEBIpFMA4NCnnURAZAxtGxkyF0pz6Jjxxk4CSQXyAUu4UyIJ5btJFPpWNXhboU4r1aqFV5KxOIIjujNdG6mXC1bCA6zLISYZSUdJ+7YjJCIXM6JXAvIQrBQpLVmSJwzsrj0rENAjq7By4IKQYkTJL0IzawmZo5SD9FAUk5JosGQQH06PoGzgmcFwNGUwSPUZnqug0YUid1K+PSLzJHeyd77ghpd/ekRzwAdI96cOSPbahyWXZ+vNsmcntFXKWbKdbXGbSEJ2xYiYcyt4OzUe1kVGIGAtm13dXVZlvXjH//4ySefXLJkya//+q9feeWV6XT6rWrVpGPZbPYb3/hGsVj81Kc+tXDhwpMnT37hC1+4/fbbt23bZgrdADA7O4uIH/zgBy+44AJxJJVKheEPAMbHx+vr6y+77LKurq6wtC6OTE/P5LklraZiDiMCEKcIcA+zuSDdIwIWuAoDjQbWaQMr5cwlsRlaohGbuslxGHFGFkBV2CIZMEBixMV+cIAcCTmiRRyBIzDiIsRN5aYnRCRh5EZpCRLpWMBidjKZRkoAERAH7gLxmG0JXsM5jzkOcO66lWK15BLnlUpLps6x6hgiIc7kC8Vq0WaMASUchxHEbCtlWww4EHACTmQjqIQxYjrpYDjS08VgL4bGUJhB9IWBJyFhycMsKXORX7bQ555JicImwXnlOoaBnzQiqnjEIFX0VyhCaObule9dJTQ0CfMpvrfSUC7M1SZRhEFnDmunqbQw9LGCTzPOEDmJ4CMAst0yn5qcmZmZ/z28wyXaEjI+Pn7XXXd9+9vfTqfTv/7rv75nz56Wlpa3xO5hFoFE4+Pj991330c/+tHzzz/fcZzOzs7BwcG//Mu//PnPf37dddcFLmltbV23bt3KlSvnrjmZTF5zzTVr1qyxbRskygjzmrgFQsTZ2WzRZahSVBEyIpGICRH9xpAIDaCAN4GeUrEXPAfEC4mhoz5WSN4PhATAkFoXgR1DdFHmGkIuo3eJKadfhgTEgaSXiMJeuXhzIEu4wggokZlQhV2VEIjJUD1LJkwllGnXOQckxrAukYJ4HIgDJwIOnMcsZIwhdwERGbqcl6uu61Ync3kAaEo4qYYGRsCBcpXKbLkUY8wCtJBbDG2EescC4gboSfhggJ5a0GBOpk7VhBUkrscW9X+C4yiVvFRWEAdAkpYGoS8Uvh6gT6NgFmivkB43oJD1JFhQ01KT7vnlYt/dBH4+M6w2yVZIrAfD6FGz1kgz+Gkd40K0wPvkAS1J5yWpPnbcCuazxULxdJW/ayUCAScmJu68884vfvGL+Xz+E5/4xNsEf6K4rnvq1Knp6em1a9fGYjEAELKwbduBjS7L5XI+nxcW3mw2yzlvbGxctGhRc3NzuNrW1tYVK1ZkMhnzoFzT1JOcmprKuY4KrhURF0xOGUKxb5y6VF6EUspF/V2nPBBTgLyGxD+BYLLIVAugJG/5phABICG6FURAZMyOAwASMuKExDghEBMzmTghMrlsI4nUfsL3xZPXuJTDDAlO9Y8MyACDZyGKXxEEEFuMASADQnKRLETlFQjAAOoTsbq4BRwAOHHu8qqlnHiAYZlXC+XKVNUFQIauw+w4g/rGOjEnyi6fKlUZkY3cQrCRxZAcJIup0ELZbdNCqW/CAEp5QzqCxXtW0jNcDrbwUAMgDghMCMdABGBJmENJ8UEYOAXDIRIBDiFZWS6ZZHIhkv6C4KXokmNuYLqqRHfWF2DpuwPTEh2Q482uGNJ5sAq9QEQU31XB34QIrLIpaP4XGQ7M5eiBdt2RafK91tFxXSs3k8vlXM4tsc2OnwG86yUCAX/0ox994QtfOHLkyO7du9esWTM5OVkoFFpaWlKp1FvevOu6o6OjiNjW1qb5diKRSKfT4+Pj5pnT09PDw8MDAwM/+MEPOOeFQiGZTO7cufOaa64JC8KO4ziO48+SryUL+bhms9mCa3lenyDebpI2SPNKnMdGqwEJ13zVZbPGo0fgCJacf4TEiLg1+Tom6iDZQEzalQlBRFlIZaQw9UaEiPm3WDM9ybxJ6M2TsGec6KB/LhluzGiYOBABwGLMQeEryBCBuMWAMwDixADr4/G043DuIlCpWgUCBE7Ahc2k5LqDs0VEshEQwUZI29gas9OMEVKxyvNVTkQO4xaiDeAAOUysJBzEfvOkQkcAARgjAKwK7aeHjkREyBgH4kgWqJnKJcSTQEEkQayFMyNXafEF0DNFIVFxZ/FQTMcaY/DmW87g1IiLJeoaL3Ow1vCLOh+4Mbnkac8/A/xCAlapVHPZUrGoAWS+Ksl3pEQg4Je//OWDBw82NDSMjo5+85vftG27v7//2muvXbp06VvbtljrXNdFRMuyTHsCY8x1XV9HbXvp0qVbt25ds2bNsmXLCoXCQw899M1vfjOTyVx77bXCUXE+RbTiuu7MzGzBbRYrnRAEmTDoIul1T7C5OfxeTbsHqQ+mWivyvsGT7OSpWJhiE0exbSkm6wWkMbEAc9dzbyaJ0QoEJdNRo+bFwwUD4wgU7wm+fQEChcFryfjrTTvzKwIxZECcgBgiEcXQQgvRQkCediwiYtKDBwEwZbNljSmX84pbdYHKnMdQ2JoJgfKuO1xwXQ6McZsBI0ha1B7HtAVIUOGYc10kZEAxxi1gMRQbK8v+yEcm1GfyhkW+5SqSQEsuXD/FWkIIAJxxJOl6Tcq6zdVj1B8ksQxSzvArQd6HCBF7TjvxGTpRaxKK3tMI8btwlf5WKPQWmKeZa6k6PfRyG8briHps163msoV8PpVK+Zj9e6NEIGBdXd15550nONTQ0BARtbW1mV54b7KYgSWImEgkOOfFoqcp4Jy7rhswvNTX11977bW7du1Kp9OpVIqImpub//7v//7gwYOXXHLJGdjaCQghn88XK24VrIDFy3TUUsIrCvWV/goa6eYsczxqLtmEUCUycsvW2CsUS7JkIzLGgBCBEzFABsgQgLhpA5WWU4HbitGgSnBo3I7CLxXQhiBuz4x2kP7VJrqhb0p57zuSoEie4Ck0AkpEUjwUpS2CCWEKpYsRcuBINgMnZqk9oISjITlM0DpM26wjiVXuVgldjhVOFeKuyOlFUHFhtERlTkAYQyZwsCOGKUvs9cxnODICB4kBJJADEQojtYhW4UhMskDJKIEBuCSS/shINlLaVZ3qWSwqvuyvZOZFCblPG486AD9nBHBvBCrOEEPRi7XxLpdveKT7S0D6CFcYPIXAcavFfLYgJvh7DgCjEPB3f/d3Tf5FRJ2dnT09PW9Vkxr+iMiyrO7ubtu2jx8/ftFFFxEREU1PT+fz+QULFphXiZMbGxu1K0xfX19DQ8P09LSJnvqxCQ1jU1OTIbxLORQBstlswWWEltpWQWfGZ0LNY9rj5vPQKPgFlStN+EyBZII2MgSwpgZYccbtWM2dtCUCcslFkFsmSXiSE5eUwAsA0oUHwBfXavRbew4Lpb7ojccfzR4F8995H027rWfxFIowjw9KvqNDaOUVInOpUCMKIBEyOgr5GYAJ/0vkBIBEMcYcR6igkBFy4AQQkwybHEaNDitVeZljhajKKetis8WBiSpxuAQVzm1kCCAyXrQ52AyuQOoS50TMInCY3JCEi0xjSn8rsRw5AUdgslfAhW8Hk/oGAun8HCTIPgIWyfXmNOsGwev00mhEHQYZDB+MOn0+lXoKT69Xp71UC+yOW8XcbKFQeANNvwMlAgG1r4koRGTbtjCqvrVFCL9dXV1LlizZv3//9ddfX19fPzk5+dhjjzmOs3btWtd1x8fHs9lsT09PqVTat2/fyMjI7t27u7u7OeenTp0aHx9ftmyZqaDUoPPKK6+89NJLV1xxxdKlS7XGVoNZNpvNcQeAlCeg1pgz/bYgSh6jqB8GOq8/kKKI4nu0WKGDS8RGN0ASdkuz1uQJynSwVDMyC3kFGRChJX2tVLiuTF8qdVcIpHL6C3wykVHaE5QCCwDUAEjA1BYPHZ5lvI/oacgM4qlxUAjJpG5JoyNX56MSzkgZU7mgqhy5BSKDEiEx9Ck0UT4dEqkcEJEZBg2JDg6DFgfBYgTkEiAgJ0oyROVikkY+i+ASuJxmwKoSJZjbaCMQcKRTVVbkWOWYYK7DKAZuAqHdIhQp+QkcEJp8Uoo/dZvCkqKzgdOcEzhEg8zDejl5AwgQ4mv6U+hIjUuMcxSJx/BVkTAqfjDAVJs/fJXrxc+7Rcut8nw2H0DA9wwVjMC1RCLxdrdqkqOGhob3ve993/rWt7785S8vXbr0xIkTDzzwwIUXXrhixYpCofD444+/+OKLH/3oR9Pp9ODg4He+852TJ09u3LixXC7/7Gc/syxry5YtIg2qWWexWLz77rtXr15dS1ydnckWuCXfZwSmZFs0tHmip8Yzr/neom8qGymhhQOOxkrSZ0hsYMCxnKN4ijf2MtuRbn3kWqJfOvNzMIkegJY7g0eDHUPBtkOyifzZOOSlbDGqMtoV2GdwTI0ICqe4SKHjwTEH0A7mnCkqCiRsLFzyCinLc90NHT0iebI0fHMEckC4CFFMsmOJkoyIA7THoBWAgDNOVeBlTknpnMYFtlWJshzz3CKkGECDRe2WVPtNVdk4txB4HLkFlACeYFgProUAgEzEP6MIyz7d/DWdX/yLiz74RhheNJtDta6Zv9ZEMe+qwBuhtd7eumhMgznCVE53JzZ3oVAolUpzn/ZulXd/n5BUKnXttdeOjY0dPHjw8OHDpVJp8+bNe/bsyWQyuVzOdd1KpcI5T6fT55577uuvv3706NGTJ08yxjjnwjs6HBc8Pj4+PDz8q7/6qzKOxQAdMS2zuXzJtURMOIJ6ugTA0AA95l/oSHhHSO8X5QcDXs2+os5UMrE46F0hXREhnnFbllA8wxCRuPabFllZEBDV1psyEZaqH0nwElLhaDqyAjxwATPXnvygO6XFYdM6LJsg/at5Q/KPygdF6j/y9F8q0YsaGw7CRQLJqJNrLqJuVvRCSO6iKlmtl4AL1RmeGC4en0plA+AwsS6QxYCIk6VHhhCw1+HcIk4uAC9yRty15YaewDi6CFOcIWeE3CKGUG2y3ITtJoAQaJw7I67tII8DjwO3gdJQjSMxoY71bPFERAyUMUb4V3kOj8LlSsUSqiEiQBkbA/omFXf3LXQoXgP9duntMqWOQT9X0uIG+AQANeooRACZxsVc18IvsmiTDEau9B1SnPDMIEYHvIpst0K5bDFfAvWi1Gzn3SjvPgJalrV48eLf+q3fevnll7PZbDqdXrZsmVA7xuPxzZs3L126tKmpybKslStXfvzjHz9y5Mj4+HgsFhPic6Q/YLVaveiii84991xTCWjq82ayMwVXJgz15IHAtpYEPganpUpP3JUioik4C1URAaHaOFNMX32GqlmsuYycJDhxhgxl1CoxEHEIqOCMlO3CJ9Lon8A4jpKpgJ6Q+p0UZhBBDiQuCLwj3y3LarXM5ntVCVGmcDBlMAQA8oc66LkQII4KcJV7j3kJqAcgTCQKqUmBh5rgnnFGAqe+fWlOQdJ5ZWTfhG43jgAWRwIGvI5x4qQEWmIIzVa1DrlLUCAAjkXiKSZygiEClQgmXIeBiwAOcAJoQKuXlessDgSznE2TbRFZyBPAHaIUuhbKzaMZAXm72SMTifrFKBBTD46TukWhjZGB5lz445Dyjhe3xNXYovRFNBP4cyXbitfTyP2oH4TIPgbIzISYmkWa3n/GZ++gBlU0wU4YzKUWyHu0juuyQq5UKpk84Y0w4LenvPsICACO4/T19bW3t1erVcuy4vG4oHW2bXd3d3d2dgotZDweF6dVKhXGWCwWcxwnIOeK59HY2Lh9+3YREmf8JhdRIJqdmSkaQavK09mz9srjARbkwY92j9P4qN4tku7UICa1T1uicZAhr2JxBmL1YMfEMmoGw5r8yw8TPkvIaYokC+YeIAYg6lioM6iTQksEmPiragu+3x46Rxz0ffXu2jdJfAooCF4SvNBPXMWaFRxMJq8neZDAQR5jAMAzIBCCLCBLnoVNzLWdQhV4hbDKsSIszlJ/iCWyxtxYhcAFsIAQII1uv1VIYwWIKsAmeAwI4uTaDOrARdBaXq7/qvVSLC+kFhWpxQD50mm7mEc7kRDERoOCkQlMRO+mNaHW7yyBSnImN2wJPP15AxT6Bz7qOgRibtUtFyuVij1vr7V3rLwnEBAAGGMihYFZhKnEFHLFaYlEQunZgvNWHM9kMg0NDT7rDSn+A0AAszPZvJuSiCiq8pt8padKqJzeD8aQYDxBWbFNuT4i4Mwomx2mln6yHen8TIE6NAH0Y4GEIenRgporhXohGkRAnWdUi4TyDO8iMloEUEihqGIAuQgErpMMsNB9MPBRIYtmggpuTLA0DNOiOSlB+20NFPg/yHn9YKoy9cv+RFlkRZc8oY4UHRaLgQ0AXnAICCVqHCFmVYCI63lOEGMi4zSvY9VuwBLHElEFLJGdQvQMAUqcDfBEFiyLiBM4BIS4is1k5G73NMsdAkgCxKAqXkQmwAkYMa7CFsGV6bkQyPNWQEIk5MjlUkvecqexDxRFVG8NkDC3qR1IFAkMrUe+YZv7oJYXIhSGjLtuPlcoFDLC0l8rFPHdKO8VBDyjEmBe4eBtnSVfFPUuCuETOHcrlXKZMuEH7WXFEJZJbSGZR1iI4VmoJAQUmhYw5RBAgEqBTb6GVoJbNgCIAF6t1AclnCmTsUQTiUdyCScw3l7ZlBISweuHYQL2+XAAeMK1OUzkIa/Pw0aLtPr2/ExLnmfClgJR8n7RdZLKtYdgDg4BkQzyC9BAJLULCulzFRPSgyBIr0l4/c56FBgfr7cMUW4TQ0jAGWntJilxT2xYSQBcuDfK0wGAKIk8ZpUBxcZxKIhVQuhACWzkLejGwOVglQkrgAVucYFBwADcF3mGA5S5lWBVByiJvB1KzVgBAE5QBYp7z5lIxkKSdrjmIrU4MOUfoLk9JyAQCdOE6VzAt9KpaJNTLQkg2ilaDa56y2ujmfrFcl2olKrVqnnZe6T8QiJgoMzBy6TftY9+0OzsbK6CrrBb+gmg5/BMwQc156P2eqJeVKl9lywTAOROusCIs8mTjFfcxoXgJITmmym08uv7CMyDqC0hem9PErRFEyIPBImk7KNpmmmg9HCH/CBiHpF1gmRnpGVRks7YqDZQN1BVffXvDmygkqc28mGxbs5HeD1rr8f1ZGdDPin+lDCRSag8FEH/UenlJwVPtb4CJ+SMC80WiTwTzGOVivIgMAJb7mdPKAKKgZC4uMUY8g6r2EaEhC4RIhS5VYeuXJaQpdElYLNYBYI8sirHBrH6IeecHafEBI9bQHHgDlEc+Tivon45FKeSWjjjwXoEQUEnStmZRCakudlY7TAPlM8xet6ZiCkfiEVuOZ8rFot+WvKeIIJnAwKGOaAuHluU0xYQsVAoFrkMWDBPM+HPpw30U85AWAgFPJ/RvErCjlxxEZGI5aes2SGeaae6Zo4W6tzuHoQpqwX4XPaU/UHq+yNfIK1JUrZqUg5uYqAUOhjXovHPdwfaFVEPMoCe9spk7Bn3NP0wLRXaAQh8H/Tbb0wD6SKDoHeOFyeEJloA2hQ/pehqwefQFKpBigdcxf+SzL1I6G+IQCrYUII7cSAmPYKIgDMCBAuIAKpieSBkIj8NAsaQAwFD4ugiWElW0ZpkIlzKsgTMRQ7AimARQRqrgrIzxCTnNgIRyxECMJdokheESaICbJDHhymWAIojxcmNAa8DN6UcieRNqWfESXig63gY8CwmkUKuvn0KDaJ33PyAgTdTfHI4L+QLpVJJPH3/avYul7MBASPhb2Rk5Pbbb7/gggsWLlwIAADaZwOnp2cKriW14VHoJplO7YfkEcYa5ygyiCjdGWSkKrpVNvU6t+M80wl2DEV6KCCVfEVXLueWx19BObvo6IvTraB+04q4oeD+5VEcV4hZnlbbFG1N7bpuxd8RMa9RydQIRlWg6OcbfP8FeqoIFp/i0kcSfT0KbhcXOgdlkixCUtNTmg001UQmUFUCo/pPjSeT9Ert4UcIMoROGG2ZUAaQrBAZkEjuSAicKAXkSubIk3pbekIGBMS7WLkZOCcoAVbJKgHmWJXLnhECuIQFYjlEBLsK2ALlRVAWmDtMzjjZMQAHIUVVC6gO0BFZz7RV3xyUoA4v+KBqsI2o50keKjLuIq8aPjPBZ/QulrMBASPLT3/603Q6vX79etCPTS11uVw+71pAhluLKkTEGJOShZ/rqXqYYeCAAARKGiSJkdQick8yBkR0E40QT0CiTspKWt5VVcg5JzqLBJyY1P2ZueeEJyAXuU3kXxDB/h4PQnkbGnIEqTSIkuHIpqkTgqBvXlVynkjtgPTr0KzQgyGPz3EE5dumw0u8lUPhpB/HUcp0QGITSwWiACbg+mVh/Vyk3UP6a6hblJl1yOuANo+omyV9voehoiOGY543LJJxemuTHiWUD4+UhKpumaSuAJQAzSXdVeust+szyBzzZkdsJJuqhJQGJHRdoEGoituzAdqxnGGuS6wCWEGsECaAM+QMOAdWAZYF2wWsEiOIcaA2oEVQSDDOCbOcTQOzCBJAFlKaOCAicBGTLt8CVMpx6WUquToj5iJnAEQWAnDiImc5SPdIMXckyDLuVovFYqlsyAJvZZlDCjxtOTsRcGRk5JVXXvnv//2/d3V1gZ4DcoLhdDZbcg1UCNqBJZKJC6PEYZzjEXrSgpCCNSkSy79lU0MXMktsbymukJzIcL4zJp6iDqfRm/gFCyX+6EmOGkf8iK3uR6kLQTskg3Euhe5ZKPwFAzRyBPjYUwCqjDpRrA5RuTYQzAdjVOs/NPc4BIUws3oP0417VJilP/rxUc9bz6dSXylpI5KyTZkABsAAeZAlyws0IBoLh1/uIPXqqsWMAIgB2GqpZQBxcmNIIBIzS19AYARic+hGrMSAVwArwMrAqoB1ws7DGRKUAEcplgebgFxCscaez/MxyyVOJWJZsC2gGPAkEWfIOTFCDojECSzkomcy8kfqpIkUBKI8TsBcF/K5QrGosvb4H9L88Ms8LXDJ3JfPXf/ZhoBivZqamlqzZs22bdsaGhrAo2YiAT7lctmiK/2VdfHr+HxbROufzBcZpa4awlRRnwKeDkqTSkQ7DmrvSQaCu8mNIpVx1rD/SuJlUERQzQXnFTdQhpuTXGmBQGKPiU0eXpFCAV+1/k0p5Wem+U54KVA9F9dI5aAH7hrQ/UXxTZ8xGQKfa+ii5sEo0LvB8HGACCymmnFrnjHavBEK/D+P8sZuRRk29AXesmysMyKVOPIUuAkgklE4NhEgcktyWJ4i7MJyHngVqMpZBVgRiSmXwjLgSyzBCLKICQQHIMmqS3gpDcABOVERWYoE3HKUft+iIb1Ng+yrRRyrFXJd9faSuX37POlbAPIicU0fNH+tdbIoZxsCivtsbW294oorFi1aJJKkSgQQsiRgqVgqkyUNsMZVZgm8/h4I+l9x35yUhFE54gj0ZCBCo1h2BAB4upmsmDzdaAqlRKwsIYj+KAvTpMtFumMBLgwAtXRMhi+LlLtI9ZEHzKwGQQ0yFHVE/pUcRK7dXtQXeFF6SpKUtXEAYBGwwpXY6KnSRFdNhyE/rPicdRQBMLFe/EVPSvNOF1m8NGIIec7H973O6yMEcuHzm85Vd4yTIzA6olAg9MVoKnwxYa2T52rHM0cE6iREACNiVATBkFpbIQEUgypHlzi4jJCzEoBNJCheHHkHVBjwOrABoESW3I4FAAkrCM+zRIE5DCgFFQcwAdTC3UZyBcARIEliygpOvJSudxxbdNLvlRW8l9MCok6sF/5JUebgjP4l4oCiNDQ09PT0GC7WOlgHASA7PZVzE4DKEhIaHO0TgaqAmIukUFRWGiroo1CIRMgAiJWy1uQJSjZRullCkg6/lXKUCAMw/P5A/qSPyDoBQFoquJ4tTG0I6b8VyelMjuCrx4A/b3TA6IBRlbYyCwuz388Owr4p+jemIAAVGId3rZRNaKlfC6EAPhcfY+YYakrQuRjMPvtT3ykbhV/UJKMSI+ALIu+F9Lj5joWpYs3pfZpCLPQqmvkIsHa1ofUbVKCweswg3QaViYYQSW4UawMAICdCcG1AhowTA0SHoI9KSMTBJYIiIAKLKZcbi6CdVwsIHFgJsAowBU4KoBFcJMwhHrcS0wgJcG3Osk5d2Um2T02ePPl6a0tLIpmqBfTzkWdDqvkIsNP5906Lp2cnAlqWZdu2MQSkBFIiwEKpVHJTPjAzivST8g+cwRyMB2DakTEEf4ypyCNi068Dr/JkM2cOA1QRxuTVBNIlUCzknlCMWnXFJTeUDFHTNF/SdpV5RTsmiha4P/OKvNBU/8ljsiIzuNinDfR/8B1kBDKjMoHyEzSHNXQkGj78s5n8nVM1GN0mdV+ntY3LC9WICabgp3XyB7Vm+BYVCgvLfn0CRX08gzKnOwrItcPX2+BQyQ9BqJbdZHJFBeX3ow1aAMQYQxddxhkHIgaMEyOKEXILHc6JQYwzIheRcQIAsBB7qFqFKhCWiLkIFaKUyMUN3ALIULUKlsvsoUR6uqWzMjPz8ve+x4mXCoVkXV1Lc0shn3/11VcvvPBC1e3ToxUiTk5OPvvss7Ozs93d3Rs3bjR3wjBRj3M+NDT04osvuq67ePHi5cuX16r/7ERAXdQ9C1kUiCCXz5WqUI3KLVXrARCIvXn9J2DEJdpLVErNQACIuTErO+7Wd/BEA1N6YH0FUiCjlPT7QxNxhK8MAUMR2B95p6SWZwWspBIcmLeiGpXdBc/rGPw5AUELS37sQyLy5M25+I6qygMO5oXpkzyDVDd8DYFaIdSYKELn54nBBiOP1zI0ICmhEGQnpVQeYNOSuPpxzdcIqpGJUOP5jd2SnoTOMir26/vVYbXJndko+TlO4Fl775n2HfJ6KiFQhZVw5BwIiImMDC4JmYIhAnDGWdVyLRcIGSBnqPx1YoQWAXKKI3Hl+CPgNQbQQdUG4qdYcjxVX9+7YMHihTE7Ztt2oVDI5nLFYvHR/ftd1xUJj+dpDDlw4MC///u/j42NZTKZ0dHR884774/+6I90MnldQ7FYvP/++//zP/+zWq3G4/Fyubx79+6PfOQjkXn/zjYENF8vTy2q+AIC5rK5vCuZdOSgm5rmOdQNUYcQzPOJCBirFqypU9xJ8vousG1B4UDZarXPR4CJoNcKyQ8eQRO7/3gSK1PbZIQNpmbw2dzFPCc8k32wqATF0xdz9mv3D+8G/b+iXj+UiC2kUY99h9EtshsGtsqivE1IjqR8Rtx0ipdnSpSMYHEhqiiNnsr16Q07Ob6BQjpZS61nq9Qs6DkvKVMeosgICyQ29RXpHWQWWCCLMya3ZQCRrk0btDgRIRdJbBgxsfcVMEIOjNAizhnKDeQIHaBCIj7Z1D3mWq89/8KLLx/Ozs4mk4mWluZ4PIFojY9PXHDB+atWrYLTCb+iFIvFz33uc4ODg7fddltzc/Pzzz//xS9+cdWqVTfffDP4MXRoaOhzn/tcJpO59dZbiejhhx++4447li5dunPnznC1ZxsCmkP5/PPP9/T0NDU1oXpFEcGtVqpcefypS/RVjDHiKutVQL+gdnMMTF8EZMBUuiLBFrxgOJYbR7fkNvSCkwZg0pEViQT1k3AoyZdS+UnUQxlpwMWiqwERQAqVmgwyAOQidZU4lZRVRHlvSC9i9Xoa21zIIseDQG6voUiZMjugDK3iKl0SR+JeB5R0KcRtRkzaQ0j3VrpGk9S4IcpzpCwsOLO5px15zEsTakUylMgoFXkIpKsSFXCRs8AbMLFOyAVSCH6IJJUDnIFM06efrx4Xqf/1flHCu+ierM0zbYbAU92cz9kJvM7o8whCQq7+KjqPqk0lkstlQ29xGey9t4AKYVc0IryvJThKMEUErtMFEjFiAEDIUO0Ko7UYDBE5ybqFA6NSlIv/xFwoOomR1oUN526/ZcWKSqVSrVbz+UI2O5vL5cbGxh55ZF9TU+MVV1zR0tIC8yv79+/fu3fvX/3VX1111VXxeHz9+vWPPvroP/3TPwkE1PKvIICvvPLKl770pc2bN3POW1tbX3zxxe985zu/FAio36FHH310ZGTkV3/1V1UCQcH8aWpyKuvaHBlRlB5QbP8YUbF6jzVcGtKH1plJ4VckVEcGCDzZwGNJijcgWubGvv4JISEJxQIt3m8MMC0KvtxzETHSt2x4yQgPaoV0MpOC7kQteZYAQGZGlt1Dwzf79GRQ8ocgQEiklgaNKM1ZeCpH9hPBC/EPydFnoJEz1Be+kY9CRX0kzIZrDWNQSK3Rh9qpmIOVGWJ6AElrVeK9QQRa6ggJ6b4rIh2QiHEVLi3Sy3BOMgUbMUKXkVWw4wMtveUN5266cEfPgj7RJSIqFovFYvHee+9Np1OXXXbZ6tWr/VvazlUef/xxANi6dWtDQwMixuPxCy+88H/+z/85Ojoq9ssV/S+VSk888URjY+OWLVuELXTRokX9/f0vvPCCPtMsZxsCirGenp5+6KGH9uzZ09raCsajR8R8qVRyEchi2qoQsiUF3gRtBvHMTAz1V0Ag5GJbN+AcUOhLlPNIvA4QhRqRpHCixSwuF3NlF0bwXKgVJZEkBQCijAmqh4rZoMY3FaLPfHZk1An3w692cLMk8yd5hd/RT15lnqOR0dvczuillKBVKIg3D33sFhDUpu8I6DlOKx/syO6F+80MaGDehVKDySIhQkhSHNCPneLr/MHUV6H6zKN6Hi7zkAeDKoRwoxFH/G6g4UZrRf5GFgYMkDPOXIYcOSAwYq7UH7CqZY9nWrIr16+94PzeBX2xeGJkZPjBBx88dOhQa2trQ0PDgw8+2N/ff8kllwgV3jyVgEePHm1ra8tkMrIPjC1btqxYLB4/ftzcbbxarZ44caK3t1e7gqRSqd7e3v379584ceLsR0AAQMTx8fG2trbLLrusvb1dHCSh0QBWLle5nB0yCzNq7gYs4EhpfFawEn5UBIDICIAIGCCQFupQi29EgMiIAIU3sSc3IWonQw+AzPnJlCeg8J2WcrEUgZUcaoKj0qaZXZQiMGnbAmiBymSCfjOItj8YCKNixbymjdZ9jEuJo17cH3KRCJRISHSCEwudJirI8/Vci4tycHwEUI6haEUw3OCjMXvoKwKAI0GJQG6P6nVDdjjQKxMwogByfmyuZqkhEaP/YNigdwZA5m/LFwUgP4SUJfonQuHoJRNEEEp3Lhft0fq2kTVbVl60s3/5slg8Dgi2bbe0tHR3d4+Pj993332xWOyKK67o7u7Wout8QLBQKIjEoJqICDTM5/NgsBPBNPX2uURkWZbYkjebzYarnS8F/cUq8Xj8uuuuW79+vdhJHQEQxc7ZNDs1NVsRmS19pkFlGpHbjnn2OAwty9oYpv0OSO3ZSzJClxWn7eEX2cwgiImLyBE4YxxVwmbt96fQT9YilFrIUWaBM7snWjScOTSCyMvFqV7iUlBz3dd9mY4BNOh4pg9fOLBqxcvawBVAmNUZLBUADF9o5oNFvwZAHvE1JDvkt974ZWfx2ddDrT4zbtnwEDKDqQOJITRDjEArT0REsW9BsJAnAtf0bQuNVe0SsvCHCbp5JNyiHq1ISTZ8snj+Z4yVIt+/0PJw5IiMi21ECRkxQnukoXVw1ZalF+1auWZVIpkiBCRqaGjYsmXLddddt2LFing8vmPHji1btogExvOEPwhRxbCwr8E0HBDCGKu1IJ2dHLCtrW3VqlX19fXqGIkXHhHLlVIZmMiB5EukSnLXxTkeRUAJKL9K7JEb4CAycKtsegALUzzTKaQ4JLE9rrSwGV4mXICOQGNh/TBfdmSkjBscpCkz9CBR5y3mStzzNsrQIyAzOmhRVwrdKgWWCTGg3LQVK/QkR6bSqgOAshGGO6OKkIXFRprSjVEkWUGBjiKPA1PGSg93QqHQSrav9WhM/AgG7siDXr/CIjCip9xEYzRqvQxiOZL1mkuIKuTL8VWjEjWHT8cVaxOxIIYFHH58A0a1MKBW93zj5CPFjDPOOBIAZ3LdJ+QAU8nMa/3rFm3Zunb92lQqjYSz2dkHHnjgwIEDHR0diUTikUce6enpufrqq+vq6ryqtXJpThxsbW197rnnOOca6UZGRgBgyZIlZj2WZTU3N4+Njek6K5XKxMREIpFYunRpuNqzkANyzmOxWDweN5SsUu7jQNl8gbsiMdDpV8swAdTnmMcZMiZC0RGAuJUbY/kJqmvjiQYBRcQErIksvgiIDInJADpUU50L4GF6+RJTDICJSUucKXsxM/oQtFlrmREEYwvq9VHH5JN3DXiqPf8gRCrMQkUrAf28zxs2ddCQcH1fTYlbUZQA8/bdBak7DRVfsEpNAmg8a2HClvgQpUTTNxgqiMZ6Bn5We5ryhmRknwiso9dPf76hBBSyTi24Ub1igeZCxhaO0g2myogLtJ9K1x9dtrF36/bNW89Np9NCKWjbdndXd2dn5+Tk5D333HPq1KlLLrlk0aJF4dZPSwM3btw4NjY2ODioQfCJJ55oa2uT+0GqEovF1q5de+LEibGxMVFnNps9fPhwZ2dn4EwwbvXsKZGPVinNiAHOzmazruMK04QKIZyP+lmfIzewCb7BCm4rRZw5xS2HN/SgxQABgSEHhsREtIa/Z3MXP/7MY86YYpdQ4GtgI5J+YOKbz7IRLhx9zXmVEJGHLGi4vNQomub4UjWQh/KoyF9AhDP6FugJBT6Lp2s2WuuBRqjw/Fdpq7XZuvms0XgTIgzTbwDWjDKv2RhFhd+kzjGiEb9fbeCDdCckBkxuWDKbrj+6ZGPXBRdv3ba9oaFeRxvF4/E1a1bfdNNNW7ZsSSQSl1xyyUUXXeTbwGfe5ZJLLslkMl/5ylcKhQIiHj169Jvf/Oa1117rOA7n/Mc//vF9990HAMlk8vLLL89ms7fffjsAFIvFZ5555umnn96xY0dku2ebFBwJZ/I7IyKoupwLmZUj01Hjfo2vzKeARviGjKWUci+phlBkeeEIDDgics5mTkE577YvIzspsqIgEjEU7qNSWYgEMk8vMsUdlT5OihYIgIwTJ+3UJiU1lW1JbAzCUCQQBOTS4in6xwgQZfoDBM6Us75US5KnBRUKR3VcZBsUagMUvWKSHClvYTFEatyYvBFDQucETHQAQVpXORPqHjXcgCQdfhBAJTQmY3KTTm9DZLBF0UNJ1lDuX67Ujp6kS9pAwKQYLv36QN+OerBMCbLSMqOUjNrh0Mc0pUseB+E1Knb6RaVSiEYhbg6YWTx5Qr1+NbSGnHRvJO0EuabIbIQmdfaIvffV8xdUIqsyvynGYHZPPVvgHImRRQyYCwQkTIWEHDgiyK2VOYPJVNOxpeu7Lrh464XbpeoJIZfN7tu376mnnmpvb6+vrz948KBt29dee61I1xQ5GnMTkZ6ent/8zd/8l3/5lyNHjvT29h44cKCtre1P/uRPAMB13S9/+cvpdPrSSy+1bXvVqlU33XTTP/zDP+zfvz+RSDz77LMbN2685ZZbIqs92xAQFE8homq1yhgTcCbe+HwhX+XAicDLhCovUeDmqST0I1HUILotkDkThDdMCXkVMh2Qbte6QoiKaZJFeo9KCoQ66wlqnlVTlW6qrjRwRCsKz7ygNn5rpgwqqYdq0jtZdiGgk/LtJEdEnvBOSq8XRe7QqPP06nHzennjcxsfVItRrkXSVl5z/PwdpppZX97qEhHB+WaKZ+XzBP/IkSZERpwTEDALiDgAgthCWS5tLqPRupYjyzYvOHfb1gu319dnQE0f27YbGxstyzp8+PCLL76Yy+U+/vGPBzRxeorNxxhi2/att966bNmyxx9/vFgs7tmz56qrrlq0aBEAWJb1oQ99SKcCaGpq+v3f//0tW7Y899xzAPDf/tt/u+yyyzo6OqKrPaOx+0UpiDg2NvbZz372fe9739q1a9UqyWZncoWK9FUG5HNrUmqpKnzKQQREJgRdIkAW482LABlZtQdW6o7BcwcBQMNPTdftbcojMmL5Cg+9tVxli9ET1T9jw9MVPc7lt2kIc58UMLX1B7gUnFlUfcLoIRqMMDVo5DEBGkH5UQQuUFA4p+mjFv5E2XYDveFKW+A5MEacBdoDXC8wEiX9tmlt1/Jucu51yNe9CI+TWn7RphCvdAa+TDe1WzEOzm1RNTuGhFULgAMXSl7BpjkKmcdFZyzTcnTFecu271y/aaP21AMA13URcdWqVT09PS+88MLJkyfXrl171VVXxWIx3/34Lba1VJP615aWlssvv3zLli3lcjmdTut4EkS8/PLL9WfLsvr6+vbs2bNr1y7OeX19vWEUDZazDQHF4+Scf/Ob3+zq6nLkDs1ielKVVyvACMW8Y2j5jAlc+QaGRWnv8aDxFaVOGAEZEQIjRmAnQMsYqKmMIZ5w0iIMeslalJsMIoDMKKWT6DEpjUqvFDH59a8yx4wWakDecUCtBgoyPG8SCvw2x6Tlxh5ppqpRMynDAUX1BoEL+gdi2VBkUiknyfMEVOI7gBvUrCm+AqTTEZrPhZuuKhKkQ0V4EXnXBs+SAXP+ygU/MtcFQNRmJJxzuN7Wol6nYPun12X7uh3dfT8cc5EVDZEALALOgBgxDsgq4Aw3dJxafu76y65YuXpVsi6JavelfD5/8ODBZ599tqWlpamp6bHHHovFYtdff71IggBKSqtWq5VKBQAsy4rFYpHBIeLMUqnkui4AOI4Ti8U6OjoQ0XXdYrGoz7Qsy+S2iJhKpVKplHkk8obPNgQU9/naa68dPnz4Ax/4QG9vr/EbFAv5Ele6OOZ7iTFyQx0WhEItKXtHBKDwKvASxlJeOquwI6HXEbFLE/c20CApESOaXhQhYmLIbiInIAkvHu8SQtPdD8jbR5gIvY28ff/Ujeiug9r4UWweJOmNwRNlt41wYP0VAu7BpLWfavmoHWAhVQraCC6vN0JQxLWyV9qG4rVlPFCSXkSB1iK0mapioyGpmgy7+4TXlWBBoiBh99/k6dQUYTe3uc83+lWLzQW77PeMMX2hpUwqmakQlsgi5jKXcYaILiCrWM6ppt6B5ZvW79q5Zu2aZCJurhS2bcdisZmZmVOnTj3zzDP5fP62225bt26diVCjo6OPPPLIgQMHyuVyf3//pZde2t/fH7ZUcM5fe+21n/zkJy+//LLjOGvWrLnmmmuam5uJ6OWXX37ggQeEQ5u4m1gs9mu/9mthyTqg1AqUsw0BAQARy+XyNddcs23bNrUIiKxomJvJF1wGwJABGlKwp+/zLyNGlfInLXxqkwgAIK9ak6+xSq7SuY5YDKTRwxOdzCKNwqb3ibBvABjiFVcZscgQhtX5OtmJVtYJRxk09YCiWgCYQ0kPoNywfVQHSAq84gRRCQH4pT/DDzGiSEdCFcGiawMunRBVBnWdiMFP/UCSsIA46Q2aj7RyUwaPKp6TNgVPE1xPpYQxxVtUGkz5Ff25XWvfOLxhgjg3tZzj17AIbHyOuGxe+mJijJOLzAVABM7I4oAFO/Fax5Ls6i07Lru8t68vmYiXy5WJ8UnLtizLYoxZlrV48eKbb775tddeGx0dTSaTu3fvNjNTTUxMfOlLX/rJT36ybNmy+vr6O++88+DBg7/zO7+zbt26QL6/gYGBP//zPx8YGNi8eXOxWPznf/7nl19++Y//+I/r6+sffPDBv/u7v7v44os1uiWTyV/7tV8LS9amnBcuZyECElF7e/vFF18swm4AQM1fqFQrVUJXWLWUWGSKwJFFy5h+Zw2dKYZYftyaHeENnWjZWiTlgMLUbMKLxhpUZgUE8D4YeiQz7QoCD4jAKiOW9jSWvSMVDhy6Bz239XQwPqCXo8W8AgxfaJI4FcluDJ9tWWdEFJrxAaU21ccVpVwf7CdqD0cQ89qgt/42xPiEWBuoJmvAh/DvCZ8ssU9/hsAb4leThEMbQTyfua0lUUpAswbJy4gpP6fTc1B/XUwYs/RFIfXOXLUh54yApDGfE0A+njretbqydtN5u3YtXrDQcmwOdOzYsT/7n3/e1NTY3NSUyWTa2trq6uq6urqefPLJQqFw66236uBUUZ544om9e/fu2LHjlltuSSaTe/fu/fd///d9+/b19/en02kTwr7zne+8/PLL/+N//I+tW7cCwLe+9a1//dd/ve666zZv3jw1NTUyMvKpT33Ktm2BdGE5eg7qp8vZhoBiKWxoaGhsbLRtm3M+OTmZSqXiiQQi5HLZMhdgOBcxlgeZJ4cJMo0YVPEjIitl2cwg2HG3oYeQGHAg9CeuNIyfIMU6Qd10vi1U+jKYrw8y+IiVvPXQlaEX3FDbRx43whtQoZIS1D0BH8B0PAzMcd1/0h4oKrOA14pvnisPDwNxRBeZ78wwlanNbOee2bIPoUGIqJb0T3NV6CG8vmevTpJnzKNHNQ96yO9/yvoVja48OF5KHpSuMaF9bwKFIxIQ48SROHOmY5mji9clV59z8WWXtrS22bZNwBmwnp6+P/iD3xsbGSkUS5OTk7Ozs6+//vqdd945PDx8/fXXb968WfpjEAn93cGDBznnO3fuXL58OSK+//3v//GPf/zoo49efvnly5Yt061XKpW777571apV27Zt6+3tRcSPfexjn/vc5+6+++7169dzzhcvXrxy5UqhTKylSTy9iXnun9+qMh9r9xs4OXwmGgUAxsfHP//5z+/efcWWLVvQjuVyhbzrkEz5LGRGZpLkULveCWKOIjC1HDMERLfCZkdYOe+2rSQ7AYQcEZnwsEIAz1WLy/ksA+CYXJ0BCBCJEUfhIMc5iKAxLtPiq5wOUVKedAyU/3mqK8aV3s1LxIIh0oR+tPVtdCkR2QdzqFEJZTCb7IX0QGSo5G55mIApkxBom48cFdIefxgEOBLp7FRNXoJCph46ALAQfUIiRoBi30apLuSAGjLIH6+iJABCRe78Fl6PAYsBQbF3lUy1Z+QSFNm9iEiaxEyTi+FwpQYvougeIgaQlsl3AEjsIqIG0BgvDIXGmTpBb1lEeROkUqUaN8sJtVc5ceRMsn7RKkes2vZEquX4si3d55y36fzNzc0tMms6MACoq0ufv3Xr7Gx2enoaACqVytDQ0MTERDqdvvHGG7U5QsyjiYmJU6dOtba2ahGtoaFhwYIFTz755MTEhHkbp06dGhkZ2bVrVyaTEWe2trYuXrz42WefdV13amqqoaHh6NGjhw4dQsT+/v4FCxaY9uh5lrcXAU2Xurmt3eGv88HBwIW6IXGkUqn8+Mc/fu2115LJlGXbiLziVokDQ6zqjLkA5jsX8hXwiz5KckOVmRJLs5gbq6bbqK7FcxshLlIhMO9FRI1Hoh1BLBU2ef0wFHniEK8tRRnSlvdBBN+pqSKFTuVUrPeuDUrE8jSvZlL3H/IfBoNh+RWI/qSBYtoqjJZtCRAP31HoCM7nJ6PjAdIn3Ix0x+d4jaTVggAxLOCTVvwpmPHgBPzEsKbHqPcxBH81Mq+EO+G/Az9xO/PsBpoD6pqZXHMYEnAU6VEJkDFwibDgJAeaukaWbV65bfvqNevSDXVRN4vT09M/+9nPurq6LMs6duzY9PT0zTff3N3dHTgvn8/n83nTUAsAmUymUqlo266YhtPT09VqVQhz+szm5uapqSkiOnXq1MzMzJ/92Z8VCgXhfHPjjTd+8IMf1Enz51neRgQMYFktEIwwtvqRaJ6UMHzOoUOH7rrrriuvvHLx4sUiMUGpVK5w5CSwLJL06epClaOQbYkDE97PMsNMupUaugHFHhiIYkdp9DFyE6GYMX9MDPK5eugYAxQM0ed0hgbEiPGR6V6Fqk7qIamWhIO+XHFkWGnVvSqdoJz8vqgMADMhAnqGYFEY+U/wKiWtrNRjIp40+MZBWorlSqBqNvPBqNdC47JOiy1762uXgHxKyZpydGiliYRqxbKNFgPFrCesl/CORMNfreSmqGsmqtGxeRQlBQNIrmDK/chk4JNIg49EnNCejcePda0uLl197q5LFi9ckEpmIh2oXdednp4eHBx88cUXT548efTo0euvv37nzp1hyVQ4uJhWRxC52U07PiIRua5LMnLB67xlWeLMtWvXMsYuvfTSTZs2ZbPZr371q3//93/f3t5+zTXXnNGYvI0IaGo0xQfO+fT0dKlUisfjDQ0NlmWZ52ukE5m8crmcZVnpdFqDerVaLZVK5kgJT6JAPaJMT0//5Cc/6e3tvfDCCzOZjJD5ZmZn826CmIUBYDVswYbM6+uVBGYmZCuZ44DiGYglyEkK/2aUwCWC4QAkNQiBvqoNjagJzUlNO7KSNLlOi6+wwNvmTUyOKFKmVXtSBA4DnzxJtYg6fkNfa6jyPXHLR5c4GBmxVKEAPsic+Cp7vgEkEIU1BBGzzH9f6LvIQyUAHbaMiOR3/QvkBFR5QTFIYM2GQFuBakKPcSu1sMmLQ69dgnc8Pz+YiDbneaF3PgAicULixFD6WVUsZyLV8Pqi9YmVGy7ZubOtrS3mOOF6OeflcrlYLHZ0dHz4wx8eGRn5xje+USqVbrzxxkg/ZMdxbNsWefP1wXK5LI7r/iNiIpFgjJVKJc5V2CVAsVgUqU8//vGP53K5tra2hoaGarXa1tZ233333X333e8hBAyUQqHw1FNPPfXUU4VCIZ1Ob968ed26dcaWvt4dvvTSS8KPPB6PL1iw4Nxzz+3p6WGMnTp16oknnhCKT1Ha29s3bNggEkGbS0qlUrn//vsnJyc/+tGPLly4UC4jhG7VLZElqJzJ5IO+sN5vEhCFEouJuY8ow9eI0LIALOkbLSwmAj0ErDA09eKS1snKtJ5OoA8XwIky8lc27CkBAfxir8CIsC+Lh55Gi/6ZK8HC8Cwx+Z1SLgKBFNU1QPi87cwPxheDHwVyK6gzVXMKe4K99RYNCt8yqZCM085x9H9Arw8AfpGWpMbff70Jr+ohqlUBDY+/mlx7/qWGeHTG4m24YrVQRCzD/g4ITi1i3AkQ8k5ypL59dOn6rnO2rdt8TnNjE1oyIarlr8p13ePHjz/33HOpVKqurk5oAD/4wQ+KeLVwaWxsbG1tffnll8fGxhYvXgwAxWJxcHCwtbVVu0yLoejq6qqvrz9+/HixWBRgmsvlTpw4cfnllwusbGxsFFHGtm339fXV19ePj4+f6Ri9Q3pAInrkkUf++q//uq+vr6ur69SpU3feeeenPvWpXbt2mc++Uqk89dRTf//3f88Y6+7uLpfL999//5NPPvnbv/3bPT09TzzxxKc//Wmx+ZE4f9WqVQsWLAhnvp6cnDxw4MCtt966bt06EYhDANVqhTgBMr2XboBH6D4blFBoiGTWYI6IAAwJ3ArLT1C8DpL1BJaS2yXgUdBpGkAzQ5FISNJDkltkkDe91HXav8RIkgoQ7i4pMNVxbCC9oEE72aEfDqLwJaBY8lDT3zpoCdfQaSq8k8MWwCwz6RYhcCK19Q7KuGavMwRmixA1a0NHuFIChlcCeYLRbS2JSwSUAr5fAEYQM90/1J6ViBTtnj9EzedE+RL5j6j1JGLHE6z9GUHa0CJkar8SEEAacYhJKRhctKbTDQMd/ZVl61efd0F//5J0fb2US0QSdGOgRSXFYvGFF16oVCpHjhx5/fXXL7vsst27d9dKAJNMJpcvX/7UU089//zzq1evjsVizz777IkTJzZt2tTa2irQMJPJNDU11dfXb9iw4dChQ8eOHWtubnZd96GHHpqZmTn33HMty/rud7/ruu7NN9/c0dEhmh4eHr7yyivnMdS+8vYioIa2XC73uc99LpFI/O7v/m5TU9Pw8PBf/uVffuELXzjvvPPS6bQGwdnZ2X379s3MzPzO7/zOqlWr8vn8D3/4wx/96EcbN2686aabpqenOefXX3+9cA4CgHQ6HRnwPDs7KzbHk5GDBIAwm83mqzKWDFXaF9MgovtMRs/96kIxOzgrTDgTJypt/QQNguwpTOXGwgvhGel3A/TO0Hucg5ZtPWujKcAqSVm84PI2SJ9p3EcA3XQkRk1pztC1SV2R9rj24V2wfrMGAA+JQufLDqg9KVCPA5oDEmolCE8Gl9QHZb3maeKOQo8h4mtko/ocCqRL8OFsoBvRisEodDMrn6s7purCOPk0nG6uEmU5Qbl9HBSs+Ghdy/jCNelVm8694ILW1rZEIiYT0MiLfZdzznO5XGdn56233joxMfHtb387l8tde+21ms2FC2Nsy5Yt+/fv/8lPfpJMJpuamu69917G2Pbt25ubmwcHB7/whS9s3br10ksvrauru/baaz/zmc/cfvvtQnv2la98Ze3atdu2bRP7Dn/rW98qFovbtm3LZrPf+973Ojo6rrrqKpjHqJrlbZeCRW8OHz788MMPf+5znzvnnHMYY729vXv27Pmrv/qrI0eOrF+/XvNEy7IWLlz4kY985NJLL02lUq7rDg4O3nXXXSdPnhS1tba2btiwYd26dXM3mkqlrrjiimXLlsmFiAABSqVySdEz5dsnJVzmt4qgTGoFasoq26+wtJZz9swAxRI82QgosywoXiOJU8hYRko8VjPe4E/yetl0gHZheLajuqOAG1g0K9ESHIVRzHQq1H0SzNQUb+UnrdPWHZMcWdflQ2BFIUmHLaPqP/oNrwHkik6UEDgSgQHSci3aJd8oi+mrhotC13oMV36V4SChwZH1eBcaXSNjuCL7rx0VIjoQmrEau01OHELRCBFcNqGu9x6jIrL6i7CfAQACqyLOxjJDLQuyS9f2rd+ycu3apuYmhsqdBxEJte5A9JVzPjo6unfvXgDo6Og4derU4ODgDTfcsGbNmtAI+MqKFStuuOGGH/7whz/4wQ8YY47j7NmzZ9OmTSLTX6lUqlQq4i62b9/+wQ9+cN++ff/v//0/AKirq7vttttEotM9e/YcO3bs8ccfF84xlmX93u/93ubNmyMHc47ydiFgwA/m0KFD2Wx227ZtwmrhOM655547MzPz0ksvrV+/XlyCiHV1dZdddhkACEt5uVweHR21LKu7u7tUKuVyOWEFz2aznPOmpqZFixapzTB9pbW1deHChZ6SUUwGweIlGREPUwTL+RJhAYiHzqQxUsmNSICAyEtWbhgrhWr7GrDiSIaN20NL/YLLGadoncJBKVPo/SplrnwkrvIGyjGUsctSUlbJFJBkfnniKPBFT11Ub6gRR6H33pR9kG2RictSxJMTToYDGyDr89FBPSnIVaRMdln+pCJqpc+QiLiRvjhGfIK6SuMlSoAQd6fr1HYe2WelSCA/AOlB5uJ5ed7JKB+7WRQHVUht/gTg3a+CQynU+5KpaEQVF9TYekk36Pnm+SSMyCIdiUABjzpZSbGgmKDZdX0EPd6m7lK9DULklcsBESGyvBWfSDaN962Mr9q08ZxNPT3ddXV1coNDpRMi4fdp6LVc152YmHj11VcnJyeHh4cPHz580UUXXXnllWYAnHk7+maTyeRFF120dOnSkydPlkqlrq6uhQsXCo1eZ2fnJz/5yUwmIxAgk8l88IMf3LZt28mTJ23bXrhwYV9fn8iCtWjRok996lOvv/76+Pg4Iq5YsaKzs9P0sJlnebsQMODLMjg4SEQ9PT3iIGOss7PTdd2hoSF9ieCAWsdXLBYPHjz4wAMPrFmz5txzz52dnR0ZGRkYGLjrrrtAbRx10UUXXX311WE9oOM4juP4Xy8qFksVbgufXeXoF/3+CY9p4d3Mgdteuk/OitNWdtjNdPJko8cT5hBJ9DRWU0hCgLpOQ4a/lihxyn9QwqyUOYWxDLwDcjZE1BNlAAl+1euA0W74qxf+HCH5ekKur92Qo4zp8uLvZ7jr6goMjpXkeDUujA56My/xHfd7Fwa4tgImPUR6NGvFv0Wi4mlIijmO0R2f+3ogSYMl7nMyGbxM7SrU0tZMPDPc1Jtfsq5r7TnL1m9obGpyYhaKEGptCfRTBCISDhs9PT2/8iu/MjEx8YMf/GBoaOjGG280A+BM1AtYezKZzPLlyxctWiT2tNDuHIlEQphHdBEJZkT0SDwe130Q8mJ3d7cwjc4nigq39AAAbTdJREFUDUxkedulYNEb0UsdwQcAIm+VaRE3+z07O/vYY4/dfffdAPDhD3+4r68vm80uWbJky5YtK1as6O/vLxaLe/fu/da3vlVfX/++971PZcGKLmLSzc7M5qsibbMQexFRLsamd5I8SDLVDwIIL1FgCNxllRJZCbehB5kgiTVhVNbm/6DZhOmbol1n5Gd5RAVRaAHSvB8ww4EFJ9KZ631ZpGrgneySqeBTUz3K9dfwRtR0kjx7i+9OA/NXkUQtCYIyNANIgTfIwsIDGmolgN0AobEixbhDvVJwSYHjRp8NVuudQHRa4IkqHnjOfZ5PUeh56s3xdp1unosHJYOFUGkzUT10lnOSE8nGqQWr7MVrVm7c1LdwQSaTYYyRfxjF7NARB+JvPp//8Y9/nEgkEonEzMzMsWPHrr322vXr15sOgAEkCoCgRrTwOARglzEm5LnwT4LrBFo5zbD4yzvkDSMQOp/P6z2S8/k8IoajWDjnU1NTP/nJT+6555729vZbbrnlvPPOcxwnk8lce+21F198cV1dnTCeNDc3/8M//MOBAwd27typmWO4KNsuVt2KS+I5AInwKQCIHC/9MwNGyBGZ9PZjPNlEsTTZSQkgntjplfAzUPAHWosn3ksp1YpfVRwbgJalPeWdPll0T4tpYtp7MCyzTHuzPdKQon+FILKAF8uPCqRUEwBeb9Xl+g4Nm682uZqCs+y5OA7+ToY5nSHAURhb/Xdh0GcMcjpfB8g4iFqaVD03IId0MIxIj4rKSUjN3QgoPJNpd2ZT1CwmaFMANMUvMuZHqDFIvThgPH9OABXLmY7Vj7YuKPWv6167aUH/0ubWllg8zqQYIVc5NEhf4K12XXdgYGBkZCSbzb788ssrV67cs2dPpPzru3PE0dHRI0eOiG2M2tvbly5d2tjYaFZuQuTx48cHBwcXL17c1tYmMgCGvanfZHmHEHDZsmXCHnLOOecAAOf8yJEjtm2bgdCi5HK5++67784771y2bNkHPvCBZcuWaX5r27bpNLRw4cL6+vqpqSkzUaIuxWLx+eefN1xnkHOudFpiHSPuxz/t+ue584F48koiYIziaQ5pROYJ0YqLiffFqM73v05wggGJ2PfZy9FCIJSAFLxWv87keR4qMFZ7a0jgU7TI5wXieSOq7imdIAbYm+4VeDTNZyHxHQflceI/wfjsD2YIrRJizmoFJeihMNxuAqhrnhMYbe9EMQgKLLQxxANjH68k3VXvIAUxWv9Evm+1SzS/M29lHk6FYoDmyGGkBgjlc/JUgXo1Q46Qc9Ijmc5s34rUsrVL123o6u5Np1OWJbc6BOUkbuqziejJJ59Mp9OpVCqdTsdisbq6uptvvnlycvKnP/3pq6++esMNN3R1dZ32FsbGxu666659+/aJyBDbti+99NIrrrgizGCEh82dd9759NNP/+Zv/uauXbuEpFwL+95AFJko75A/4IYNGzo7O++88841a9bEYrFCofCjH/2os7NzxYoVrusODw9ns9nly5cXi8Unn3zye9/73vr16z/84Q93d3frtNq5XG7//v2jo6Nit3mxBE1MTCxfvtx0q9blueeee/zxx2+66SY9uLl8rsyBax2gKuZgkUJH8Q6RmH5EQK5VnqFkI0cAZNr8QcbpEKxHzTUgiU2k8qyAYWIh0SHzHyJwIO6PJ9K2Di3kah83k8phFF5ImIjEJW8cVJ3yltVJhhytz9TAZ7Ih3wkams1OMPIxOo3myj5jiJ+kn4DHUk1fIr1+qK++3po00t9PTZ8iSTEICNBT3499GDi/huLvzRQEnxLyDReu1gVStjcCwqIVG0s2T7cvhGUbelevW9Df39jQ6MQclShTPQ+1PqCawuVy+e677xbkI5lMElFdXZ1t25Zlvfjii1dfffX5558fmZrF1yfOH3/88bvvvru3t3fHjh2c85/97Gff//73u7q6LrzwwsDlTzzxxL333jswMHDgwIGhoSERFlKrvGH4g3fMH7Czs/OGG2648847Fy1a1NnZ+dprr+3du/fGG29sa2srlUoPPvjgSy+99Bd/8RdTU1Pf+973Dhw4sHTp0oceekgPypIlS9atWzc4OPi9733v5MmTGzduLJfLP/vZzyzL2rJlSyaTCdx2Lpe7++67t2/fLvijeI/zuXyxyjhJ1RRFrabKFozKowUREMhl+TErP15JNhEAU0wS5M8gdIs+OhkeCv1BBfkGYdNIN6IPeTKskpcVJ1LI65+EGEQEE8Jk5Ro+wtQp8CGMfUbxkTHdogdqptgYGgfzHgPEMPIqs0GMOEj+LwrHg533wNSjdhEdNBDIx7g99YD/Og845l/CKi2za2+6oF6GhLt8hdnT8cx4pqvcv6FhxZoFK1a0tnemUynGPC8AcSdInuoQ0JOCV65caVnW+Ph4uVyemZl5/fXXp6amXnnlla6uruuuu24+RthsNvvzn/+8Uqlcc801wqU3Ho//0z/90zPPPLNp0yZzD3UAGBwcXLBgwZo1a/bu3StS5IdL0IVD3Pl7Uw9o2/Ztt91WKBT27t2byWSy2ezOnTs/+tGP2rYt3H+EJMs5j8fjq1evHhoaEru+i+K67vnnn7958+bjx4+/+uqrJ0+eZIxVq9UPfOADW7duDccFj46OVqvVCy+8sKOjg5SvCnd5VWwGqewf0X3Vb4BCJ6zk7cljlGwETwGh4sV0riFVfL7THtAgAKEKpfDDkMAskupJWbmf1+ieKQFTpYCXjAZ9cCYWfcPNRVInT7SU13q+aYrtRhQfIngd8L6KD1KnBiInlZY6yaOBCOQNniet62E3fPHEaAT7QyCNEWTcTri/pGmgNyYyOlgS4SiHPt1bU1zVNJMAjKsCLatKvfGqKagaF/mNpMY9Rq+kPt8B/2LgAb+6C4/0EnKGs7H0WF17rmtpatnaZavXd/T2ZjJ1tuUgC/RTwImq2fgxHo+LrYjK5TLnvFKpZLPZH/3oRz//+c9/+7d/e8GCBae9XwAYGhoSiLl27VphADjnnHMaGxtfeuml8fHxAAJu3rw5lUqdPHlyDiPnW6INfOfyA65ateoP/uAPDh8+LOKCV61a1dfXBwDxeHz79u3Ci7KxsfFDH/pQNpsF8L2mHR0dlmWtWrXq4x//uPA/isVinZ2d/f39er8o313Z9u7du8855xxpPgc10RElajEgIDNLPqIfGaXfMhFxe2YAuOs29Aqyh5LxoXZt1v6FuvhlKEIvrMKTYfU/TxMnxbOAot37ojTUQCLbnWzfM1OoUDOt1CNUTnZ+0qb7KRQyoAyFehqrKe23qBo9l189Pxhv8hoOLh7aCst6+NaCJDYgn6JCHxUOLF8LI7OhOtNAAt9BNPtjCHneHQXaV/X4rOqooT+A/sEiHoIPvHxLZKhBMAaB/HtjGiejwarRd42fOQonSEQCFzHvpMaSTbMdi2NL1/cuXdWzZElTc3MsFvORpoh7CB5jjDU1NZXL5W9/+9uI2NTUVKlUDh06dPXVV+9SGrrTlsnJydHR0SVLlrS2tgpa0tHR0djYODw8PDMzEzh54cKFlmWZ3nJmIZorw/EZlXcoJgQRHcdZunRpT09PpVJxHCeZTAoh17Is4RYEAMlkcu3atWGZXwxxIpEQQnSlUmGMxWKxwLPULTY3N2/cuFGAoyZluXy+xFFHxIVDLTWjFrInISBxlp+wskPV5iVuLIPBd42QhUQis0KFgAbXU+QLAZVHvj5ZfiAlwABpOIiS6YTxQAsxghsG56UgTczXSx/uSOWan5dhcMKTAZqq1tOVEHMMeMxFVkEmn/JV5UexcCvgo7GmCjLcUM3ez1sJ5xtDGV8c6kTUdaep3vOa9p+JgKRiLvU6JHlhUHmABFCy46Oplqmmbly8tmXZmr6ly5pa25LJxDzRKtwrgThjY2OVSuXEiRMHDhxoamq6+eab55+U1HXdarVq27YOGXYcx7KsSqUSlnPn9m97q+AP3jF/QP0hkL9Q3IYeEUQM7CgaOJMxZmocIi1oiJhMJtPptPGwCRBz2VzRTXIvzNzTIASGUnBEAiJynanjlGhw6zp0Xung+TjHhPJOUdGvaGCBgkJxjucJCAjEDC8WM72VhyNqzvkJgbQjh+REH38Bwxzstwv7pG9doVGJCZ2S30X5Gyu4Ny5V0QWqnkBIH6Cg3CpjlQ/paqwzJj8lr0uhdcI3EF6wRwDWg4+yBl6HHrZf6J3H0jDP4r9jb1TkuBumXgIhnhAjwrLlTCQaxzNd7qJVDctWdy9Z1trVna5L2Zb9xiDDdL675ZZbstns/fffPzo6+rGPfWzJkiVndktRHRAWlTPtz1vlEPOOZskPq37nb8GJ/LWWs1KoLQJA1626ZBEAE1lMpQXXdIJRvQUQ3AgRyElVGxeAHY+YgghaKplDF+ujgdLbA6RCUMnaHmCZ1tDA3EWDEhKAzMxOnkO1dvjwp1dQveFi9oSEOIIo4FDHPbzQ7EwtIH5ZWHM95Uznr8sHVcF2gmBN6naM0SBSjtTmtkS6d57Yq0dNKgSjYkWk446/SzXyXJHnC21Ymv0nRF0XUVPEOxyKsYu6TtjttBJEyrmoOi+WS6gwezKeGct0lvtWpvvXdPUv7+jprstkbMcJOkDMu4gZxDn/l3/5l0QiUV9f77ruU089dfnll1966aVzM7VAyWQyDQ0NMzMzMzMzItvV5ORkLpdramoK0JrTQsEvkhQsymmNNW/mTua41rNLKIqAiCpdpdgt04fFQkTWTtOIttu4kBL1GLUDW/ilivKFVkmYUbs3678KB00oARD7UYCUhSN4nHz9lWgpZjOq/TRA99NHZ7RU6LEzkyea8cWm2K5+9UOzHlAySUlAk2hcTKTqNxmTNwiAnudz2MDtXRMIwaHgJ/JMwP4+AJhs0ZcWzRAfzZZNC4k8RTmxB7iwGtH5oKDR9+Ds1XcWWQ+iyC+BJB8+AiGXUAhYZs5UPDOSbit39dctX9/Tv7y9p7ehvsGOOcjQy/B45iBoGmpGRkbGx8cfe+yxUqn0e7/3e5Eh+XOU7u7uxYsXv/baa8ePHxfZAA4dOnTq1KnLLrvM1ObPBwp0r948CL5zWfLP9Ko30FCg5HK5WCzmOA4QliuVigjPFzZ+AhXyGCyIiMSJWQCMGLjxekBLvmjmvMZaa6r3KgtBhflEFwVhpmRnuAQy41d5PplY4920+lW3RqBRRgKKF8Fm9E4zGlMu9s+6CFImL9Unh6FZXqYj6fWZKr+EQgmPReoPhoETTTRRdFXelwl/aGCXN0R+iCci9OwKJrmu5WQd9UgNCuk14Rswv/BQ43LjgJnkKliJWlN8E0eFtIlHKp4DR+BAWGH2dKxxON1e7FicXrp6Yf/yzt6F9Y2NsXjMEqnnCRD5acM3axXdhw984ANjY2MHDx48cuTIH/zBH6xYseJMWVhjY+OGDRueeeaZH/7wh4JXfv/732eMbdiwIZPJvPTSSw899NCuXbuWL1+ey+VefvnlbDZ7+PDhfD5/+PDhffv2xePx8847T4ed/AJIwWFR94yuEmU+Qxx5wsDAwFe+8pVLL7102bJlADSbyxddxoX5QSQyRRaJgkIXznIj4KQonhF7Zmr3aH9zp7svf6orA+/ER5kfVJlrI0BHfNawBqEtL1DyVpOg+aVXv6zqAWugHdRMxlARkqJL6MGK/wY9paQQ1AK0S/9nQKc5PKctpyVWPsYXBnL/X0OvcKbezLXOp9Nwq7CfwDzbC31Wi50ESKqgM5poGa7rKLYvzixds3Dxso7ensam5lg8bjFLEWo1B+eIJZm7H4if+cxnOjs7GWNtbW2PPfbYxRdffM011wj594xA0LKsbdu2HT169Kmnnjpy5AgAzM7OXnPNNRs2bLAsa3Bw8P7771+5cuXy5cunpqZ++tOfvv7669PT0wIcZ2dnbdteu3btaQPvzrS81/cLfmNIX6lUvv/973d2du7cuRMAAKFSKpY5EDD0MnOa3lAozR9IjBArudjooXLnOUJzp4gE03PMeLEkCImj+l333lkPj7hKZiUghmsLLCBIXobgBU147oGgvQURETmX2R0EoCBqkiV7YVAjKYB7WjMCz/NGg6BGWHGRj+PoeF4FYeQBrjTjECICJ9Rxhj51pKKBsuh2TR2caFF10tCTqk4geZnESDFJUt6+OuiBy4VK3qaYn9wj3SRUHygN32T0g8iIhFE1qA77C3rDIiRqn1LSR+6IfDK/5OZK32KkK5RAScABGXAQWy5ok53a7kR2mQNknfTRpqW5xasyy9YtWry8o7e3oak5EY8xxqLmzJnBXwDUbNuenJwsFAp33333xMTE3/zN3zQ3N2vsO6MZunDhwptuumnFihUTExPCG2bTpk0iyfHixYtvvPHGhQsXAkA6nd6wYUNfX5/YVlhvIRKZSeFNlvc6Ar6BQkSjo6OHDx++6qqrVKwiqrzniCDJitSFIyNJyziSBYiArjNxBNDmTgqVXpCiXiIMfRUNKLqo4Ua9+gCakhhqJsObT6IoGkYA9RcBSMvI4WkpJDsET8nlEyRVF8mbpxJMAmhoCOxmh7VY7QNHfQsCftWv5O+5RPAwizJxWddJpE1Gfn7ntSuvC1woO+nhv78xX299j1OaVDEEf6gHiyj08P2V+2w/fiEm6hbUbXAEBA5cpR8VyINIBEzguTH8QEBV5owmWo/WU6E5n9525fLztjZ3dDY2N8fjcWZZb1gsnDuq7AMf+EChUHj22Wf/4z/+4w//8A/XrFkj/NjOVMdFRI7jLF++vLe3VySLisfjyWRSoFtPT09LS4ugeJlMZvv27WEXmcj41zdZzkIERESRO3v79u3aWckLB5ZvPzLiHGWGK7HBB0dE4iw3zPJj5c41aMcF8CBwQAu9yaXcowTnMps2pUlJZPRBKXsigAJgEPTGEE6ld7SBuKRbZF4HPCalNH1e30AH2HpzzkQTbUUBMA+CAjjjg6oP5AQMXIQGGOm5qu4UAPxbvKNJ9Dy3FX8qKu3wbV5mxGZ4Z3oQb8APBU/z9ydi5TBaiSgmlEc0bT6diIsDB/3CsFwkSeYgICQiJjKXcgACjshIergTMSxaieFky2Rdu9u11ClC8wsvLd14zrI162zHZoy9SaWYKcyan3/0ox+dPHmyvr6+vr7+0UcfveCCC6699lq58U5URJq45VqisXapEclQzasQ0cxzZVnWG9j7/I2Vsw0BRYhDS0vLpZde2tfXJxYrIiqXyxURsoXiEQGiEIldYg4AFwlgwK3Ex16p1ndSqkORP2AizEJKun5BV73K6ounCpNIp6y9HrcS81/hlMBeSUOBiIApsQgDf0FHd4GnQ/SYkZegGEGKwGAciZwiZsyGuL2QShGMr6o5j5vIX9APCrJjSsAEAJG+UNJFDbVqNVJ01HN71DxOi+HqNr061RF5C0ptQL6zCQzsUS4U/puC0OAYlhnd50hNYBBw5ywBOo76QQEZwgIBAyGry8Zzdmow3TGR6bIWLOtYtqa5b6F19NgLrw/UZ+rjiVhN9D7DEumt4bqu67rHjh174YUXTp069ZnPfEYnQEVEkZ3k0UcfHR0dFTEIq1atCtcmSrFYPHr06Ozs7LJly7QReWBg4NVXX83lcvr8TCazZs2aObYZecvL2YaAYigzmUx7e7vWGiBiPpfPu0JYk0EQggByREsEhREhkD0zCMCqDQsYs5VKhkmXQs3bACAAfF7rgQPco1fE0dsozoiTU7njvaw0gnN58mmI1KhWmDzClQcJD1E/7zN4PtUAPkwMC7aeL4jUFfg5oykwSoZINaMp0NtY0sdq9clq+keiiT5usFTi/jMp9FeMH6mmwwMY2IHvjaFItPfgvIsU2UnsOi+XOU7STZVxxKlY3UCqczLT3bB07aIVq+rbO1vb2lPpzOjklIXMQkbhN+5NlBMnTqTT6ebmZp2RZMuWLatXrz527NjnP//5P/qjP9q4caOmFET06quvfvaznx0fH+/t7Z2cnLzvvvtuu+22HTt2hGseGxu7995777zzzvb29o9//OMaAR9//PFvfetbnHMdKNHT09PZ2flfCPhmC2MsIBqUy+Uy2QSgHCvQBbRBuAQSR8sSEkm8rty2Apw6Lnf6RUQmnQ/In/zWZ+mOMCljCHEAlNeLT2YFiU3oicCeAUE6JnLFEQP7csi2QMvd6EMTBDA2SCIJdgqCDWQBAy4jYAhD4BWAWlAsTxUORj+VJyAX/TEXDxNbzeEybg2iuiRMCoFTSdM9uZjUhijzdmo1IQ7PYTSO8Pyeb0EEzkknJAUEEluWA2GJxUcSHUPpdre5J7NkzbKly9vbO5taW51YzLYtxizGpD8/Su+jtwYGv/Wtbx09ehQAkslkd3c3Y2zJkiWI+POf//zcc8+98cYb4/G4tn7MzMx8+9vffuGFFz75yU8uXLjwtdde+853vvO1r31tw4YN9fX1phR86tSp7373uy+99FIul3vxxRdnZ2dBSb4DAwMnTpy44oorxA5HAJDJZM7UzfBNlrMQAWu8EETItHecAC1E4EQosNJFsjhPNhIyziwEYMAJLCmRKN2GfLQY1RZK5bWahN5s1JKd/CeIqAomNeRpMp34EFHsFyzoj6BiiFpy9RK8BmZpAEpMwDKUgJ7CTfRKqBpNSzGGqwaP8ekFQfvB+G9H/CQy6aOpBvPjuziCBryS3lIKRFo7o2WvF4bnNJJxM1GFiJi6GzWGpLsaiXEStIOuLJJKe2uM13+DS59OCQhicSUkxhkHQovQ5RxmnfpTyc7JVIfdvbR15eqOBYvrm1rrmxpjtmPZDIERytAYAi5G8C1BP/FWX3DBBf39/ZVKZXZ2tlKpTExMvPDCC88888zRo0c/85nPCKOitn5MT09/73vfE54xiURi5cqV2Wz2n//5nw8ePLhz507TSFIsFltaWvbs2XP//ffv27dPRP2LE6rValtb2/nnn3/hhReKnoh4/7fgluZdfmkQkOQGuyQyw8jIXxtAmB05IAMAjjZjItsBETJS0McQRWLU6EjkwBcf9VPSLmnJ2RBL/bPWU+j7pTPp8iJr9OvgwLvkDRbD7cZfobmbOBmn+8VYNIRoRM45842/+k1fhQhkoqH+gBS4C0/UDuox0cu/ovdc93WSiFgtChgCPD3IUpEfYo/msqHrD97laZAosCQB6u0IEKoI4/H2k8mubH1nY//q/qWrG9s7Glta6urrLWTMYtrHXJmxhfJQQv+bj4sQl2/evLlarRJRoVAoFAq5XG5iYuKLX/zixz72sfPOO88M3XVd98SJE8PDw1u3bq2vr0fEWCy2cuVKAHj22WelC5qqtq2tbefOnfX19QcPHgy0Wy6XM5lMXV2dCI/r7u4O5A14B8pZiIDiPS6VSg888MDKlSulQwwCIw7SBRqVDxsiB0BkxdnY9GulrtUopioDL7CBAJAp12ApAqDQ7CkMUC3reaqtH+IUTiLTAZLUACJpIqcy1Mu4MTNzv/R0QyTiDJE412ZZ4YUnpWZBFZXcLSU3IzGfrh+Mjnr1C8wmz9FPG3AEsdPBfN5NEoBHwUjyWRFKg4hIwBXRk9xMWDkk05S1yTBXpfEkdV8GO1NjajAoVLI8qMEUyjQCTsBQi5dI5IIaAUREDhz04kGgGAqo4Co96CifuoGn4k4MFyUUL4pKp0aIjDioTe/FLyj6JwUH0qdr5xoCmHYahhIdo4lGu6u/ccmapf3LGpqbG5taYvGY0OSE3m6vSf0g3yopOJFIENGdd97JOSeinp6e/fv3L168+KMf/ajYmce0kAwPDwNAd3e3tvym0+l0Oi2Om6Wurq6urg4Rw7czNjb28ssv/+M//mO1Wi2Xyz09PR/60Ie2bt2aSCTeqps6bTkLERAAiGjfvn25XK6trU0g4NT0dKEKAAwIkEn1CRG3mAVA8bEXwY4DMA5ae6gQEAiACZk5kgACmHAg21d/JPFTc16fZQiiIN1gtVxmGiIBTJIV8CIW37T2LfBrcEgClVOIgSIpMmg4lxjkKyRp+7x2RNi0DOYS5xORZYyF+D/MzND4LcCJa96XIoEAoHOpYvApBLptUFd5ocQPMGw1gKYXs9dDPwdE/XTFj2JJIECxZTCKJH+oljxRpxC/iQOjAqaGE+1DydZiY0/LkjXLli5taO1oaGjMNDZYzHrz3i1vuCBiqVQ6evSo67rf+ta3Dh069Dd/8ze9vb1h179yuawlVnGQMWbbtnD0M8+cI3t+fX19LBbr6+tbv3495/xHP/rRZz/72T/4gz+48MIL3zFZ+CxEQEQcHx9/5JFHPvKRj+ithEulUp4sTiISRNAxS7yWzswpqzRbbFsBwj3at7mq57kHNRdbH7cKqPx8B/XUIiAEJo7onwwdoq4NAHzzE8AUIUEKyMFQOXU5mbo2UNNYdUzRVTIhRn8geb7hCajNvqoqDZdqeuirTYnWBx5mVRAotWwOvnNVmhZjNfJ9IJLU0sciCUBFs8xlH9H1ICmeGuqkbF7YqzyiTfJXKSlwyWoRkGsqXEGcSLafTHbNpNrq+pY2LVjcvWR5Q0NzprE+Fosjospi8O4UAVsiXXEul/vGN77xvve9b8eOHVr+jXT9M7+a9dRqwvx6ww03bNu2rbu7u6uri4i6u7v/v//v/3vggQdWr17d2dn51t5drXIWIiARTU5Odnd3X3TRRTrnBOeuCxYh09OJABkAVvLO2IvVpiVuokkIaBwtRQ4wUK3vDVAffX6hSrQFGfqGBlIo7Q2qXCmeak/xGQVYCKBzAoKYdXKGGQDEIrxYIIrZ+aVj/2l6qut2QQqr6nLw0BB8znfyZ5Uzx+8xYwCxT19PZm99Rmqzz4qlMgj8YtA3IyZE+L6YLC8YTyKwyjf99LVk+PGQ1ACopSICLD2qyj0MRH2nymIl96sEBKiiPRlrGI61Dac6U92LGhYtW7RoaWNTS119XTqTYSgtu9H88x0sjz/+uMhK39fX9+ijj9bX13/iE5+oldCzr6+vUqmcOnXq3HPPBZBhCNlsduHChZHwFyk/LV26tL+/X8v727dvb2pqev311/P5vNncW5IFq1Y5qxBQj3IqlbrqqqvWrFlj7tGuhDTwZhCAM3mUO3XlhgVaPV2r8nk/A+3UQojSPQUl6wTFuTwoFISUuDxZwIFCUw8QlchJGkSQgIhromjYoD1eCRFMizxOBJq+iPmqQKQ2SVJKQKM2RK2LBHWxgksAbUoyOiCrMlAmPOoh70JvwcCwuGz20AfEfhHeT071cBnsxfCwIfU6ebYg8XYIfOPokUQkNLxFyRKR5EB8KtYwHG87meqBpq7WJcvWLl3V3NpWl0mn6+pt2xLyiLYMkQyNe3cKEQ0ODh4+fHhiYuK11147fPjwn/zJnyxatCgg/2qBt6urq7m5+emnn77++usBIJ/Pv/TSS9Vqdfny5UGuYIQPm8ez2ezTTz/NOV+3bp3YMjibzZbL5VQqZaZMhjOYem+knFUIqMertbW1v7/fUN8SADDiqC0hRIjE3LKdHy21rSE7xgA4KQNdiN/pZyBfiCiSqAppAqjgTOCdJyBLQyYprDQtAL7wYflB2jpkfg8zD6DnqyznsxJJA/AhZ68XaUfmVT48kf3xZF5/f7QfjDlQQRKnTiND6R9y2QFtGEEQeSJCvwZqlkEjihL7K5TLRmD0fF8x2E/yEUCDhJHBgkM9V46HiFLYJkXHCQCqYE3EG0cSbRNOs9vc1bJ4+cpFKxrbOxoa6jKZBstxmLfbqhKPlR7xXSSAAHD++eevXbu2UCgI4+/ll18eQCITB5ubmy+55JK77rpr586d27dvf/bZZ7/73e8uX7588+bN+Xz+8ccfP3r06LXXXtve3j4xMTEwMAAAQ0NDuVzu6NGjLS0tzc3NTU1Njz322COPPHLTTTddffXVjLGvfvWrx44du/HGG5ubm+cOVX4Ly1mFgKIQUTwet20zJzgCICBjIBwAhR6dwLKLHeso0UxoAbniJbSQceBz1G9qBiN+FVxTyEMmNSOfTRONvwBCCWi6B5KqyuRcKm7E54+ieW3I/uuTiElvNGz0XtFATYTE95D+y5c8GTW4g26ohmtwlAQrPpiKQh+gB6tVIi153fAzwIDgqGzNXs1Szo2yk8jYbj8qht1yQrfFAYkjIDEAzogILRfZpNMwlGgfSnRWGzs6Fi9dumhFU3tHfUNdKlVnxeMWEBPxRQIslRwitouRLPKtDfKYd3nllVeefvrp9vb2TCZz8ODBTCbzyU9+0tzFXPM4DUYNDQ233nrr0aNHf+/3fq+joyOXyzU3N//6r/96U1PT5OTkwYMH9+/ff9FFF7W1tT300EOf+cxnAGBoaGhycvLv/u7v6uvrr7/++o9//OM7duw4cODAZz/72S9+8YsAMD4+vmfPnssuuyyVSpmQ918c8M0WIsgXiiUXgAiYWLoZIhCim2ph6CC5nDHkJDVbc1E8X4lcpqRE6UlP5gUhuoToTWJUuaEEXNbQCwVwMUgYyXcmBmvQom4IDsJuu8Ztag2DUFpqhzhSGa1BczrUwrXRDTRYlcmya6nb5lc0BQ466NUozCPmoVIDJUNtAWryjVBi8clY00CiazTenGjva1m0YmXvgqa2tob6+nRd2nFiTIbpME/olkuIC2ShJvmkV6d3AQKnp6dPnDhxzz33jIyMvPjii3/6p3+6YsUK04arsU+/5JZlrVu37tOf/vTLL788ODjY2tq6bt26/v5+AMhkMjfccMMll1wifGW2bt366U9/2myOiHp7exsaGjZs2PC//tf/ev7554eGhizLWrx48bp160QuwreV95nlLETA8MARQi47W+BpDhYBI+SsWiArjswiAAJXTk9EEF7QBMCEBIgAyE6XCs1woJEKPpRzOyjnKgFTe9hFsiQxuYhIOQCSKVaLlrT2zZNwATy51WsCPbcV1UmQQpxyK/Zyr6pENSpOSzoeEjdSOYhwakAil2l2StI/EVRVyu1RSs2o8h/KTgmqqUmrtvCYo6qt6tKbiGvmRB435B7sKu9IJFL2CF0Vynvj6omRDE3Q6ktELlSaRCDyVhECipgcIknRSS5XWSs9Gm8fjbdMp9sS7X1NfYvXL1jU0tqRyWSSyYQTcxga8BG4L/lXDp56LBi4/XemiIVt2bJlra2tExMTf/Znf7Z169Yrr7wy4IwSxiNEjMfj69atW7FiRaFQiMViYq8PInIcZ/HixVqH2N3d3dPTU6sDq1atWrx4calUQsSwBvCN3dEZic9nGwKSEnmIqFQqOY7DGEMCXuVVQEJg5AK4ieHnyo0LeEbsAEcAjAFyGdulDaRKII1S5YZGViOLksJMvRsqfxfpXe0hFHopNr2b8NWLCJybCCixxs+kQPc2QgkYocwCNOwhwZZNPRopC6c8kxSOe3Kz+qBVmfK4jwyaejqzG2Gh2xTnyXfcGxPwwp+Nu1CuJAJcBDnVfJWYXJg4KcHfCxMiJGAAXLlzg7aKyVUIWQlj07H6qXjzeKK1VN+Zaetp7l20rG9BQ1NzKplMphIxJ2LvVv8gmV/nc+bbUkxcePbZZ4eGhhoaGjKZzPHjx7PZ7F/8xV90dHSE8S5s3xB/Y7GYmbg0oDHUp83BIRKJxJvM/Gw2J7oqcgtqPx7OuYjG0wiry9mGgHogXn311Z/97Gc33XTT+vXrUVgkUbzpzJk+yaoF7qQMpYsfBwwpWAsoRhs++As/VEVPPJFXEivyqfCViEraXqwPynokfBj1qwASIDlFteAt2cvpZ5DWD3pYGU7NEpbGjIaCNfr8XWoo0bTBIUh1opLKmCKzvFY7aROB2C1enokQEue1sM1EFIgYKyDUoRwIRAyJM0EoPYO7JtUIRBwYIc7adeOJlulkSzbewpo6WnoX9PcubGhtr8tkkslUMpW0LeX3/e4aMuZXAmAxOjr6wAMPzMzMDA8Pv/rqqx/96EdXrVolYCKSQGmIKRaLY2Njg4ODDQ0NCxYsiMfjYakZAKrV6szMzODgYKlUamtr6+joiNzj+00Wk5cQ0ejo6A9/+MNkMrlr167Ozs58Pv/MM88cOnTIcZxf/dVfDVx7ViGguQJ885vfXLFihQj0QQQSazmgVZ51pk9WmhaRUweSl8kn5z0YRETkUsyUCxcBCdFmDlWNJ7gBBHIQACh/QA9ulEEGpbLf8GghEyVVNQI9lWgpYUJLuCq0Tp/pAZn2qjF1cxryTO2hHweNdkHVpqqNdt3wrDTiSYTQTQvmysqhwcNLygD+EfZrNs0KI04G4gBccDokIMY9X0RETq4t8pHJbaM5A89N2kXkYFeRFazkTKJpKt48G29069sbOnpauxes6O6tq69PJpOJZDwWcxizUHHJd8d+cealVCqVy2UAsCxLeOGtW7eup6cnn8//7d/+7Zo1a/bs2aOF2Vo0kIgmJiY+//nPP/zww5zzWCy2evXq3/zN31y2bJk+WZwpUmbdeeedg4ODRJROpy+77LKbbrpJZW5/u4rrunfdddfRo0dHRkY+8YlP/OxnP/vbv/3bTCZz8803h08+qxBQs7aTJ0+Oj49feeWVCxYsQEQSadeIIYEz8QrF0m6qmSxbJXSKfn2F34whap7WM1MF/JKUeQ2hmDyxl0hTNtlhg+5oJSB4PRO5s1Do1xgiaEE7QpmoUZIUJnqEzhRmw0zNw2tEAK7P9CVlMG8WAvTNpJDhWD31Gb1bU0HBGv583YnoYuBOtTTr+4kAmJLwubItESgbl1oUhCqTuYAcLRdZ0YrPJpqm4w2zieZqXVtDR3djZ9fijp5Mc3M8nkgmk/FEwrYMH2251pgy/HsdBx955JH9+/eXy+XOzs6Ghobu7u5YLLZo0aKhoaHx8fE//uM/1kmFI99zcbBUKv3gBz/4zne+c+ONN1544YUvvfTS17/+dc75Zz7zGTN9NBE999xzX/rSl7SN+P7777/99ttTqdTHPvaxM9oiff5FNJ3JZHbu3HnPPfd84xvf6O/v/8d//MeJiYnbbrvtqquuCl9yViGgKIhYLpd37969ZcsWoV8Qan1EZmcHWSVfblvDnZTy5UJTqg2ue+BTaiBG8h5dpHoelX7KM31IAojancXjespSoeHGkzc5AAIRZwqJyUNGk4L5EhGqE0zgCynaVK/MI/JMvwRaE4ak5ciH1PJnKY9j8BLDJ9EPi74mlHLArJakJ6BxocJx/wKAOiCOM06Sr6OF4AKQxcEFqCIB2BzAZViy0lPxpmyiMR9rqKaaBOot6Oitb26OJxLJRDwejzuOLbuJoEZJDStIhbGA9vc6/gF0dHSsWbNmYGAgn8+PjIw89dRTuVxuYGBgaGjommuu2bRpk8hTP3dYWzab/Y//+I9zzz33N37jN9ra2tavX1+tVr/0pS8dOHBg27ZtoNhiqVSanp7u7e29/vrrL7nkklgs1tjY+MILLxw8ePD973+/2B3pLS+i6VQqtXv37q9+9avPPvvsn/7pn5ZKpVtvvfXGG280/Xt0OQsRkIh6enq2b98uQuJIRJIKdQ9QtaHPjdeLjd+kRbRGMUVgWTOGTlBSGWpPWmMLHtASsacEDLjOCRQ2Yj+UCKz0gyBrlworX9SCAW1hECSlhtSW1ij9HGhtI2hkjDgnfDKphUXkCkQ1Cp7gT/pC08tPWY3VaHhDFSg+ZAwxxOgbkYkJiCMAI8YZR45VBkDoooPIyszKxRpy8cZcor6QaLBSTQ3tHY3NHYvaOxpaWhKJZDweTyTEHtPg01kab4G/VQz+/h4uy5Yt6+vry2azxWLRdd1yuVwoFP7t3/6NiPbs2SMCM8AQeCGEhkQkErrceuut7e3tRNTc3Lx58+Z//ud/fvbZZwUCihocxzn//PNXrVrV3t4udjiqq6tLpVJzJEp4S4qwt3R1dV133XUHDhw4ceLE9ddf/2u/9muR8AdnJQICQCqVqqurEyFxw8PDjLGiSwTgpts4IjCH0EKKpvpShaXMuNJkir6f1Scg6cSACoOUadJnMSAtICucMpmLoYzzHTFbBCUtGn0QyeI960dQgvbXrxmMdyzUE/kTSs4FGhCDzCtcs1IOggHKgfPDY+3pOn137YtfrkFCIzSGWh520eIAyFiVIaGVjaVK8fp8vL7oZMqJTKqpvaGjvae5tbGlM1WXiSdiMScWjztOLCb9o6VlhzTSe0OH5nh4Mvgb3o33HS7xeDwej4+NjQ0MDNTV1dXX14+Ojo6NjX3kIx/p7+83JdOAVKRxkHN+/PhxIhJaP3Gwvr6+qanp+PHjZltif2GdmqRQKDz99NNTU1O7du16u7NAVyqVl1566cEHH0ylUkRUKBTmSLv/biLgm3R6nM/lIyMjn/3sZ7ddsG26yDkgt+OoPK8IkMmcfEDCO0sSGRGw5B0QEiwTQIQSEJlEPVSeuNL9Tae3M4J/Pec47zhJE7CfM6pZLZ0REUhv/SGaQE/KlkfUNERlW1AopL35QM9l8iRKE3EM/iilSMn1UDNWj5Ep/SaKsAgUHRW6Vk9lSQBobDBl2naUQ58mz7LzoEcPpGRJWviUNYCBSHLvZyJAFxEACbFKMWIsF8+UnFQplinG68uxOruuvqmto7WpJdXY3Nze4TixeDzmxJx4LG7MeY+9qxaDCpHQJwMNfxHgT5dXXnnlscceO378+MTExMjIyPbt27dt2yYMILWK6WGXz+cR0dy4UqTJKhaLgUu0QjCXy+3du/euu+5as2bNrl279J5wb0dxXffIkSN/93d/d/To0fe///0HDhw4dOjQww8/vHv37sjz3x0EjHQOOlNAPO3JpVLpu9/97sTEBCfK5nOcNwsoQ0YkHR5EJ4R5VYqYAhtJikDSDRaVgkmwMW+SyO+oo4BBKeDQlAT9spQWjVEHC2tuqFyHPX278nrRHoA+u0HQnVDSQB1yCiqdFCqlJhgIqP11asihXjdAi8AEAESiXQQOxJRsSwqLpSFIRL7KW+OiOovrTA/yRpRgLaGaKYqnzD/KD1F1iwMCWhxtDsAtVmGxUixViaVLsXQplnHj6WRDU7KhsaWpJd3Q3NjWatuxWCwWizmO4+idLkIv2y8Uhr3R4rputVrduHHj4sWLJyYmvv71r7uue+ONN3Z2ds5/6gkxVrjX6cEkorCrHSK6rjs+Pi4swn19fR/5yEeWLFny1t6UKKInnPNXX331H/7hHw4cOPD+97//E5/4xFe+8pUvfOELt99++wUXXFBfXx++8N1BwEgVg/Yhivw1XE7r/P3000/v3bt3x44dr598fWJiFtILSGzCKsGHA9qCUqhkBooEKgQiJd+oiCmlJdEsAT0BTgOZwDV5UIUDy18j9HGeNCdPVqBDGhZBqTFrjIeflpCESFSf/WKm4la+1vWZ+hwNf35zhylBB9FT8GGxdx2phULFO6OMzEBgwnwh+Sv6dtQDTx8qLnURORBHiwPjgFW0qk6ymqirOMmqkyzF6yhWl8401DU1NDc2x1P1ja2tsXjckcWOxR2VBFv4vfhynPyylbGxsSNHjghZuFKpDA4O7tmzZ82aNfMnZYgoFGoTExMa/srlsnD3M1cXMZeHhobuvPPOffv2rV+//qabblq0aNHbRAC1nfp73/ve008/vX379k9+8pNLliy5+uqr77333sHBweeee27btm3h5/5uSsEmfhUKhbGxsVKpJGxGDQ0NUQs1VCqVqamp2dlZIqqrq2tsbNSreqDyycnJ/fv3L1y48NSpUy+8cKh9yVonA2XQpASlQxgBMQulnywHES8MCMgRGBISAxWEobot/khHFhNWNLlTsWh6Vut/qPwBtZkClCSoK/fkWQ8LUbmSmC16gEUeyHrD60NaH1b5yY/fE8XMp+9HQFAYTaC1ZCoJmI4YMe5drSKaMwtJWZqRGSLI3dEAgXEAF4EDcLCAIUfigFUrVraT3Em68aRrpyqxBMYSyUymrqGpIV2fqm9MNzbEk8mYHXccy47FLMuKOw4y5Yzk3bJYlNBcXN+kEuYXsYyPjz/88MPHjx8fGxvLZrMrV67cuXNnXV3dHJcERokxtmjRooaGhieffPLKK6+0LKtcLp84cWJ2dnbFihUAUC6Xq9VqIpFgjE1OTt57770PP/zwzp07d+/erV1t3o4i+mlZ1oYNG5YsWbJq1aqlS5cyxjZu3PiXf/mXnHOtkQyUd18PSEQzMzMPPPDAE088US6XE4nEqlWrLr/88vb29sALWiqVXnrppYceeujkyZNE1NXVdeGFF65fv164vJiPqlqt3nPPPZVK5eqrr/7CF77Q09PT19HEMD/mokvogk1oVUVmerQBCIAx5FJ5JRR8IoRAJUAywy3MlC2Klnmipc/7T6u3PNDxoEFLrKYG0DgOhvZNMlSdUEseVATTUNipGtAkU4Jb6UYVrdWuJFIYD0vCKlJF3qcIqhEoSMJHhwMCuBrFEbgQcJEIgCEQAUe1HQohugCEyJEBAUfGEQlYFRi3HIrFuR2v2knXjlMs7jrxWLIunqpLZ+rT9Q2JVCqVqU+mUrZgd8y2Y5ZjO8xienQNeVnAtKfNk47xUQGOZ2sJzAjG2IIFC2644Yapqamvf/3rhw8fvu666xYsWDA3KgWWCsZYU1PTxRdf/OCDD15zzTUdHR1DQ0M//vGPe3t7zznnnEql8sorr5w6dWrr1q3pdPrJJ5/8xje+sXDhQpF0+vDhwwCQSqVaW1vnVju+4Tt1HGfHjh2ImEgkhJK3sbHxiiuu4Jw7jhP5xN99PWC5XN63b9//+T//Z9myZcuXLx8YGPj6178+MzPziU98QhNmcf6JEye++tWvvvLKK+vXr7cs69FHHz1y5Mhv/MZvrF+/nvzeEpOTk4cOHfr4xz9+7Nixw4cP/+ptt3V39wyMz45P56fLlC1j0cVZHsuVqQq2CxaBQ0CcbC43vGCATM1pKQR7tSMqciflWuZ5AhqyMIABf0o9J4+gYm36iKnOQ5AWDOMEkkmhPT4Iii0qeDIgVer7BAnzQzAog7UcWkPnGGmcJeMn0im8AIhJzSkBMEJiQJxLA1EVEAHFpk8cLY6AQC4yAqzaDjoxbsXBdshy3FjCtWIUS8TiyXQmk0imEul0LJVK1WWSqVQsFmeW7diW7TiWZdm2bTEGUscJRNzvekTSuRO0lC90p/q2IqJWz2IcNG9tYGBgZGREsLNCoTA+Pr579+61a9fOvR2HnqfmiCWTyVtuueWv//qvP//5zy9fvnxoaGhwcPBDH/pQd3d3qVR67rnn9u/fv3z5csuyjh8/Pjw8nE6nv/vd7+o6+/v7r7zyyrdWG6j7BgCa0oo+M8bmRtt3Xw84Ozv7ta99rb6+/pOf/GRbW9vw8PBXv/rV73//+5dffvnSpUv1+eVy+cCBA0899dT111///ve/HxF/9rOf3XHHHfv371+xYoUZmw0A2Wx206ZNLS0td99998TERGdHx6ZN56wrlwvF4nQ2NzWdnZnNzRbLExNTZbc6W2Flt5jjVqnklqxYpUp5bgG3XLQBgcgiZIisijYCuWiRMgszkARRhB2r4Cr1z7OrkJQWDbrnTVyPrGlbKoAml2KslKxsFJ/jnrC+atjSdhW/U45qUdhJAr7EuiqzTjDAUbVaAbEPJVaRERAi58AIuEVQZmiJfe0SSQDkdgytGFmM4kkAqxqL2XbMisXTdXWxeCKRSjmxeKquzk4k0uk6CXAWs5jFLMt2bNtiKm8FeeuIcT+orPYyzZ60Lyslh9HtAMj9MsBfoIyPj//0pz89efJktVodHBxcuHDhJZdcUstFTheNfeaI2bZ97rnn/uEf/uETTzwxOzvb2tq6a9euHTt2OI7juu6iRYsqlUo6nWaMrVix4pZbbonFYqaRpLOzMzBb36oSeKzhpxz5xN9lPaBwsNy/f//v//7vr1mzxrKs1tbWyy677N577z1w4IBGQACYmJh45plnUqnUpZdeunDhQgC46KKLHnzwwWeeeWZ4eHjBggVmzZlM5rzzznv++eeXLFnS3t6OAHV1aaQ6AmqrVKtupVpxXe5mZ2bLlWqxUs0XK7lCcXYmW3KrhUI5VyxWqjxLDhHPl6EKsapbzYMNhAWXlauMmNAOWiSZDjIEBM6AIzIgZMCZ2IAcAMx8q0h+2MFAzmd9VKnSwMQpv+4PPBzU/tgKYaXmX2KHIoPKU0d85+pCbdom1OiJoOiw1oEKoznGkkzU4CTBYgCE8SQyrBDyRIojA4b1zc0WUSyVTiTizLLrGhqRWfFkIhFPMgst27YYY5bFEC3btizLZpbftqLvUn/VnfK9wepdV2xd2evl/SIqzUaE5/svD/wBQH9//4033jgxMXHHHXeUSqXLL798yZIllmWddhkIwIf4m06nL7744nXr1gnFfVNTk9hOJBaLrVu3bvny5fX19Yyxc845Z/ny5YEKY7HY27opcOB2TAL7npOCiaharb7++uvFYnHlypVCbnccRziRHz161Lxkamrq5MmTzc3NfX194khXV1dHR8fhw4fHx8fDCPjCCy/kcrlbb71137590lsFAQFjMcchG5MIAK+/9lqpVF67dg0AuC6vVqtEvOpyt1rNFwoj45OxWCybK7oEhUIhX64Qp2yhUqqUAKjsUsm1CC2X3LILrkwdz8suVFxkQIxxBKxwXq1yBGRADPjY6HAynsxkMqittOQyNCJ5STo5y8yjoBIhEJEMHSECzgBc4kCcy+TSHJXyUSkKTSmbSOZQIBA7wwMBomU5zNIbiyNaFrMtUGDDYg4yoQpgLBEHxpDAslm6LiM0R8l0xok5CJDKZERG7nSm3nYcABDHRfg9InMcW8gj84gGDdK1eZ4c8OXTkrLx55e0jI+PHz16NJ/PJ5PJYrE4MjJy8cUXb968WQaMznsZCLhtJBKJcNY/xpjYNVh8FTsFvxU38abK3Pf4bkrBwn9namqKMdbQ0OD1ybaTyeTMzIx5SalUyuVynZ2dWqpPJpPJZDKfzwdcMQEgl8u98sorH/nIR9avX29Ga4N/KXviiSdyudz69euEQRmMwSoUCs88/dTmzZtX9C8iItfl3HUJqOqKRGO8VKrkCmUC5rrVQqlYrrgIwDkvFIrFclXr2gqlUrFYEhQEgX/joYeWLVu5fMn6qktyb05gSmmobSmg3XGq5YpLxhYicpdxjogAruM4FmNa9c8U1yGttxTiIYJlO2hZmgMCEGMskUw6sRgox5d4IhFLJJhEPUrX1dmOLchVuiFjWRaqPWHFEFmWzRhDBL0hQS1l83+Vd7iYL/nIyMj+/ftff/11ADh27FhDQ8Pll19uZgCsVqvHjh0bGBgoFovpdHrx4sVdXV1h8wgRjY+PnzhxYnR0VNhDlixZIgJPs9nsyy+/LFLyiZJMJnt6et7u2I+3pLz7UXGu66J/P3nxVbhc6kJEnHPzTPFZkiOjxGKxQqFQLBYdxzl8+PD09PTJkycHBgZEIkbhyy4e/9TUVDabFTUEpm61Wr3rrrsWLlzY19fnQScQIFYq1aGhoezsrEwHRNyV+RcRgFzX5S7XAi13Oeeu1F8h3P39b6xY1HHphZvL5Qp4ujsJWPKLvDkkolw2V6lW0f9OC50vMkin045j69tXN4BGqBwAgMWsRDLpxBzwmgQAsGxbpiMHAABmWcKuKgDRdizBAQHAduz/grZfiFIoFCYnJwEgmUymUql4PN7b2/u+971vYGDg3nvvnZ6evvHGG3UGQFGefvrpO+64Q1xVLpdXrFhx2223mSAo3rqJiYmvfe1rL774YrFYFPGmW7duveGGG1paWgYGBj772c/W1dVpHtPe3r579+6mpqb3/mvz7nvD1NfXc86z2aw+Xq1Wy+WyyQoBIBaLJZNJEcstUKxUKhWLxVQqZQboAEBTU9OOHTvq6+sHBgYmJyfT6fShQ4dyuZzIFZjJZNLpdCqVisViQ0NDItFjIpFoaGgwN1dyXXd4eFgk7xZHUG7mhcVi8ec/P3Ds2LE1a1YZzcrTJiYmhodHWlqa29rbISR/JRKJhobMgr5eH76TikDxDw8AVCqusLaovJ4GkwWwbEcytpCcF/guBNKoh+Azh8hAtYgKtdnk9C/0L5WF4b1WpqamHn300dHRUQF/sVgsk8kkEgmRDOb8888///zzjT0UYWpq6ktf+tLQ0NAVV1zR3d196NChO++8s6Wl5bbbbtNOZuLvQw899O///u8f+MAHNm7cyBjbv3//l7/85fb29uuvv356enrfvn1XXnnl6tWrRTcaGhrq6+t/IV6Dd9kSYtt2b29vPB5/+eWXd+3aBQDVanV4eLhQKIhdV3Rpamrq7e199dVXBwcHhSl9cHBwYGCgu7u7vb3dPLOhoeHDH/7wrl27RA4MkQRtenp6enp6ZGREq3I55xMTE8Vi8Z577rFt23GcRCKRSqXEq4OIuVxucnJyfHxcgCMI5RmA67pTU5PDw0OejVKHnhG89vrrDz/88JbNm9vb27VJVyGKtBFbliU0Ygp8fOBiGEDIcRx94E34cETYfPUPPj+f8EXoPzmyklBsz5n07b/KW1kcx0kmk5VKZWRkJJvNlkqlRCJRqVReffXVZDK5e/funp4eNPa9euGFFx555JHf/u3fvu666+rr67ds2fL888/fcccdH/rQh7SiUJyczWa3bNly6623ivym3d3d99xzz6OPPnr99de7rmtZ1o4dO0QCPhEh99Z6/L195Z1GwLCLeXt7+9q1a/fu3XvVVVf19fUNDAzs3bu3sbFx7dq1YlP6qamp5cuXNzU1rVq16sknn3z00Ufb29sZY0888cTg4OA111yjs2CJmi3L6urqam9vr1Qqgk5yzkulkuu6pVKJcz45OVkul2dnZxcsWFAoFASXFLtVcc6FHlcEVT3++OOnTp0SsrNgjnV1dZVKeWDwVL6Qm5qaaWhs1P53iEiIwtkql8spCIm0Qyrjg6GzGxgYKJXLPd3dSpsm7bP6GpONzmdsVUvK28ZAVvHx2NFjlm0tWLAgcKHf+xGMbkQjKf5Sxle8N0tDQ8P5558vcvZVKpVSqZTNZu+7776xsbEPfvCD69atE2px/bAOHjxYqVS2bNnS0dEh7Bg7duz48z//c7F5iGlCvfzyy7ds2dLf3y80J+JXMWWEWNbV1TU9PV0qlUSqmHCY8HuzvNO99M80AoD6+vobb7zxi1/84r/8y7+sWrXq9ddff+6553bv3t3f318oFPbv3//0009/8pOf7Ovr27Rp0+OPP/7DH/5wYmJCIGBvb+8FF1wg3IsCM1DzrHARgTviFRHgKMLyAGB8fLxarc7Ozubz+T179gigPHXqFGOsWq1mMhlhvXn1lSMzszPf/OYdqXQ65jiZTH0ikairq0smk6dOncxls+VyWdhgQ75Inj9bwPby9NNPj4+Pv+9972tsbJQnK6EUAJ588snFixfXUi2bTlvBAQ9l/NPfH3rooWQqqW3rEWfI2rVFNaL+OZr+r/LOF8dxxEvyyiuvTE1NiakxMjKyefPmiy++WKcG0O/esWPHmpqahPOK+Gn58uWVSuW1115bvny5+ViF64WAv5mZmZ/85Ce2be/cubNSqYyOjs7Ozj7wwAMPP/ywCOvatm3bBRdckE6n3/svxrsfF5xIJC677LKJiYljx479/Oc/dxznkksuufrqq5PJJOe8sbGxq6tL0KLly5ffdNNN999/vwiv6e3t3b59+6pVq850lEWqkMifBEkU5FGkkBR/q9XqyMgIAExNTRWLxbq6zOzsTDabHR4ZAQLGmNiUzrbtwcHBEydOPLR379joWCIpYVEoHzOZjMBZ6djm7/XQ0NDAwEC1Wg3eDgEg3H777bfccksYAV3XHRsbGxkZWbduXY1RrjkOJ147EfmOnu67/8f3/Cv+S1jK5fLRo0ePHz9erVZPnDhRLpff//73L168OGBvBIBisRiLxczjiUQCEQuFQsDACAAC/oaHh++999777rvvAx/4wAUXXMA5tyxr4cKFU1NTfX19yWTylVdeOXTokIhJfWfu982Ud5+pMsY6Ozt/5Vd+RWwpn8lkent7xVRPJBIXXHDBxo0bhZybTqe3bdu2ePHisbExImptbe3q6jIdjt6kLEZEYs0MmFbETwsXLhRpMESKoWrVdd1qpVIpFovT09OCLQrLTGtra7lcPn7iOBHFYjGhFhGe8cPDw/v3769UKo2NjYlEIpPJCM1jJpOZmJgol8u+1w691l944YWAe5Ao1Wr1pZdeevzxxyMRsFgsTk1NJRKJyAyRggi/sbEyR+aXMMTiPV6ampo2b968cOHCffv2vfbaa1deeeWGDRvMVd8UTSJriKQIRHTixIk77rjjxRdfvOCCC37lV34lk8lUKpU1a9b81m/91oIFCxYtWkRETz311L/927/deeed27ZtmyM16XukvPsICACWZXV0dLS2tlYqFcuydDiwZVlNTU06dgcR6+rq+vv7RUyIbdvm2lWtVqenp13XbWhomDvsJpfLzc7OCtyZ56RFlRIyrN91XbdSqShYVNBYrRaLxWw2K5CxoMpll13GOR8cHBwdHbUsy3Vdx3HEhltPPvlkNpv9z//8T5Gtt7m5OZFINDU1JRKJ+vp6QU5FiybWcM7Hx8dfffXVyG6Pj48/8cQTfX19W7ZsCf9a6+0/IywzA6f+CwTf9TI+Pv7yyy+LZY+ITp06tXr16ksuuSQgPegn1dbW9thjj1UqFf3T8PAw57yrqyussDpx4sS//uu/njp16vLLL9+5c2dvby8A2LYtXAjj8bhoFABWrFhx6NChsbGx/0LAMyiMMWGEPe1peoHSD/Lo0aOPPvroq6++Wq1Wu7q6duzYsWLFCsG/zArL5fLevXufffbZ8fHxdDq9fPnyK6+8UkiCfoe7Myi1FI6cc9d1NTKKD+Kv0E9Xq9XJyclKpTI7O1sqlc455xyhfzxy5EilUhG36bpuLBarVqunTp368Y9/LLzHOzs7GWMtLS2JRMK2bSG2R/ZNuKqeVicdNuaOj48Xi0XRxGmvMm2Lb7jkcrlqtRpwgfqvcqalWCyePHny+PHjIp397OzszTffLPIUmKfpx71p06bbb7/9+PHj/f39Yr7s3bu3o6Oju7tb0Av9lCcmJv7v//2/R44c+fCHP7xz5069qUilUjl8+PDQ0ND27dtBvQylUokx9ib3QX9nynsIAc8UevSzGR4e/s53vnPgwIGFCxemUqkHH3zw8OHDv/VbvyVUueb0fvTRR//t3/6tpaWlp6dnbGzswQcf5Jzv2bNH6BnfMAhCyKwBAGI/1kB6G/1ZGGHEX42MwnItpOnp6WkAGB0dBYDJycnrr78+mUweO3asVCodOXJE1BCLxf7/9r40po0zj3vG923wFWOwsTkcwBwppIRsCAkEcrWlyeZq0zSNVGmbaqVq1ZW23a20n7bqfmhXqqqtdrM00TatNmnOtim5AyQhTYAUAoFgwOGwARtsDMb3Ne+H/5t5p7ahHH6bg/l9QGb8eOaZZ2Z+87//wJgDAwMnT55kMBgymQxs4VwuNzExMRQKeb3emfgx2rmMT1Kv14+MjJSWlsrl8ugfwvsDBG3iiS+GB9vb281m8/bt2xe8BxIIggiFwhUrViiVyjt37vT395eVlRUXF4NpL2IkXOuioiKVSnXy5EmBQKBUKh88eHDlypWXXnoJjEtnzpwJBoO7du3CMAyaT+7cuZPL5YIhHkEQNput1WoHBgZqampGRkZWr15NoVBu3rzZ3d0NpUl+7fOfP54UBlwA7+Dj79y5c+vWrby8vN/+9rdcLvf69ev/+9//rl+/rlAoeDwePszpdH799dfhcLi6ujo7O9tqtX7++ec1NTVr166FKuGL0eN+8VfozzO0QYyNfkkCtYFmjSCIz+dDEASI0ul0Qq6Lw+EIh8NgDKVQKOnp6TKZbGBgAIISQH6kUCihUGhiYqKrq8vtdkOGJp/PT0hI4HA4eITjTJMcHR3t7e0tLCyMeS4//PBDUVERpHJHnDjo/hKJhHhGczEU9vT0dHd3kwy4YHg8nq6uruHhYSCv4eFhtVpdVVUllUojguGJ7vukpKR9+/Z99913R44c4fF4FoslNzd39+7d8Hqrr68PBAI7d+5EEKSlpQVBEJvNduHCBXxXcrk8NzdXrVaLxeKzZ8/eunULOjGlp6dv27YNlOIn3DDypDDggpcpGAy2tbX5/f7S0lKoLsPj8Wpra1taWqqqqvh8Pj7SZDI1NTXt27evuLgYxMDq6uqDBw/29PTgaZKLvFqzX+8Iw8pMr2UgR6I3BraDqIjrvOA2AboEcnQ4HD6fz+12u91uKKYtFAozMjLodHpbWxvE8VCp1GAwiGEYh8P56aefxGLx5cuXORxOYmIin88H4RFBEAgli0hMxCdz48YNmUwWrVshCDIwMHD9+vXf/e530WcdCoVcLheNRotZGsTj8RDzgkjMF6FQaHJyUq/XBwIBqAa4ffv2nJyc6GtEvPFoNNrWrVsFAoHRaPT7/WlpaYWFhTqdDkizvLwcklYRBCkrK9NoNMQHCsMwkUhEoVA0Gs2bb77Z3t7ucDioVGpubm52dnZhYeETzn2AJ4UBiZjXe2NyctJoNIrFYpVKBSrnsmXLlEplb2+v3W5Xq9X4yJ6eHrvdXlBQACYMBoNRXFwcDAbb29tLS0vjMvNf5LiYI2faGGFoo9FoILhFuKoxDMMNjkCROFH6/f6pqalAIADCI/x1uVxAkVlZWRQKpbW11e/3E+cgFAo7OzudTmdzc7PVahWLxQwGIykpCQ+mnZ6ejnRbP5rJ6OhofX09kQFxTE9PNzY2SiSSkpKSmZeQxALBZDKXL1/O5XLb2tp+/PHHvLy8NWvWRL9som9LqEfn8XhCoRCNRhMIBLg5vqKiArdyVFRUREQOwD2JoiiXyy0qKlq+fLnf70dRlE6nc7nc6ICKJxNPIgPO69XhdDqdTideoQxBEKg043a7QYUEYBhmtVoDgYBUKsXfihDhabFYFm/IJwJMdV1dXT6fT6FQ6HS6iLy9iPl3d3fz+XyNRhMRghDhnZhpDyiKAjlGe8AxDAsGgzgnhggAbRryYUCEhOo7eNcbFotlMBigRlkgEAC9CeqbDwwMdHR0QJ4iiqLgmsft4njUToRd1ePxdHZ2qlSquDNgVE5LjDpA8T3ir4kIC3L0uXg8np6entHRUTabDQmgcrl8y5YtCoUiRrBn1IJQKBSBQEAMlsa/JTZXm8VJhaIolB1Z6Ck+TjyJDDgvhMPhcDgMli98I5R+BOCXPBQK4W8tfBhol8QdLvKB8fl8DQ0NJ0+eDAaDHA5neno6Nzd3586darU6+uYbGho6ffp0Y2PjmjVr9u/fH69qQkThMaI1F/4VcCLQIrAkTpTgioFQHgjiAec1fBUMBrVa7eTk5Pnz51kslsPhAHNPWloahmEjIyM2m62trQ0MjnizFxBUPR4PUd6cI3p6ekwmU1ZWlkKhmOVkI0Rm3NQ1k7VhFkOE0WjU6/WVlZXznSouMS34LorJ5sRTi/4JRETdu3cvHA5bLBaz2VxZWVlQUDBTDED0/oeHh/1+v1KpJBp2o2cyOTk5OTlJpf4sk/Jpf8E89QwI4g9kceAb/X4/m83GyQ7+Quw7qG+wBT7jfn3AIi+nwWA4e/asy+Wqrq4WCoUtLS0NDQ1yuVyhUETE+nR1dR07dszr9d67d08qlRIl1sVgdsGHyP7/tzpD1HiJREIUG3FyRBDEZrOFw+HCwkLIHQwGg5B+7/F43G43hmF2u12lUp0+fZpCoXi9XvCGJycnQ86M0WjkcrkDAwMCgSCa7meSxIeGhn766SeJRBKTAb///nulUpmTk0MUgWM+nBE8EtPmgD4Krjp37twCGHDxpBCTgGbfG5PJzMjIYLFYPT09TU1NKpWqvLycaLCbBXq9/uLFi52dncCAGzduXLVqVUTuMIZhXq/3m2++aW5udjqdVCo1Ozt79+7dUDjuqaY/5BlgQJFIBBXK7HY7qGOBQADyunk8HvE2UqvVTCbTYDDk5OSAxN7T0xMMBjMyMuJ4Fdvb2/V6/e7duzdt2kSn0zUajV6vv3HjRmlpqUajIY602WxKpTI7O/vq1auBQCBemjiRzubyKEbITcgjcqTT6dHkCDnLGo0GOBEku3A47Pf7HQ4HhmEWiwWiwQOBANTm8fl84J+x2WwoinZ3dx86dMjlcnE4HEih5/P5MpnswYMHDodjeHhYJBKx2WziQf1+v9vtxt9wEVrhrVu3ioqKMjMzI4wAMJm7d+9u2bIFfQTitxErQ/zX6XSaTKZ5L/3PdxUX4Sh6V3a7vaWlpamp6fDhwxkZGXw+H0wWHA4H6hi98MILKpVqpkMTdzU9PV1TU6PX61etWsXj8X788cf79+9//PHHaWlpETLBiRMnampqysrKdDodBJ/Z7fYPP/zwFzX0Jx9PPQNyOJzMzMz79+8bDIbc3FwajXb//v2+vr5169ZJpVK/3z82NiYQCPh8fk5Ojlwub2hoKC8vBwY8c+YMm83Oz8+P15VzOp0Gg4FOp+fl5UHxjPT09PT09Nu3bw8PD0cwYFpaWlpaGv7Ax2UCyKyyQ0xmjFYe8fHRZAqKVXTTawzDIAIGnj2i/AgadCgUstvtYGoE+RH8M36/f2RkxGQyTU1NWa3WTz/9FG89Ac92QkJCe3v72NgYZA1GBMOjKOpyuaC2RcSUUBQdGRk5c+bMxo0boyccCATa2tpYLFZ+fn704gCzz7LC0Ws7y1WYF4hvnZjKL51OT0hIgHhMWD0IhBofHx8bGysvL3/++edn6UpOvJr19fWNjY379u2DNHydTvenP/3pzJkzv//978GPgU+gtrZWq9W+/vrrUqnUarWOj4+fO3furbfewrtTPKX0hzwDDIii6Jo1a27evPn11187HA4ej3fhwgUGg7F69WqhUDg6Ovr555+XlZWtX79eJBJt3779m2+++fzzz1esWGEymU6cOPHqq69CxbS4TMblctlsNh6PJxaLYZ80Gk0kEoGIBGPwmxv8MBQKJb63TvTegsEgtJlPSEiAFMOZjmi32ycnJzkcjkgkgihxIpnOfpeDzAjPXsRjDNIiCHHwGVzV0OEAnNQrV66EJXK5XF6v1+/3BwKBwcHBgYGBvr4+i8Vy5MiRU6dOcblciUSSkJAAzWSSk5MnJyeJ+YLEqXo8nuHhYexRjU/iw+/3+5uamoRCIc6A85KacRPz3K/CHPGLVj8Oh6NSqTQazfr169VqNUQRDQwMnD59OiEhobKy8hfzavD937p1i0ajrVmzBroGC4VCtVp97dq1N998E4Ko8TV55ZVXkpOTMzIyqFQqm83Ozc09d+7c9PQ0QngVLex8HzueegZEEATeTpcvX66vr0dRlM1mHzhwoKioKMISTKFQduzYAU2d+/v7Q6FQdXX13r17cbf9YlyH2KOQvUAggIetACBxDaLw8HsF5Kk4in4zwWg0nj17trm52ev1ikSiioqKTZs2ER8SmI/JZLp06dKdO3fsdjuDwcjMzIRsquhqIhGI6XMg/htTcoQTT0xMBDaEv/gHUHtBd/b7/StXroQgR0j9DofD0H4b9Gur1Xr8+PEbN25IpVKxWMzhcJKTk6lUalpa2tDQEK47R8wN6uPGPJfZ19Nut1utVrC9/OLiLwwR4rnD4cADtjAMg3RJGo02PT1tMBgSExMTEhI8Hg+Hw9m2bVtaWtrsHdARAtd3d3crFIrExESwCIMY+NVXX0FQC3EOVVVVdDqdRqOFQiG9Xn/79u309HQolUpqwY8ZKIpyOJyysrLU1FRI6haLxRqNBvwbEolk7969UqkUvBCpqan79u0bGhpyuVxgpEtOTiY2HlnwVSTeB8jPyWImnTTmlrgAPwubzfbtt99+//33JSUlarX67t27X375JZVK3bFjB3G80+k8depUbW1tXl5eSUnJxMTEpUuXHA7HO++8A6bVXzzQfIE+MjjG3A+GYYmJiUCIERQJzIiTo8vlWrNmDQgjODl2dnZ6PJ6Ghgabzdbd3f32229LpVKI41EqlVwuV6FQQPUnYsj3HM9laGiopaXlueeei2BA+Ller2cymVCWfAHLEnOVLBbL4cOHgQHRRynYoVBobGzMZDJBbKbRaCwpKSktLZ17K17gVrVaTXxbi0Siqakp4osZjsjlcoPB4KlTp86fP2+1WgUCwV/+8peIqgdPI/0hzwADIghCoVD4fH52dja0LoLe23A92Gx2dnY23qeRSqWmpKTI5XJoukSj0WbKGJ8XcOGRx+MlJiY+fPhwcnIS/9Zut7PZ7LkUyViMEEoE/vPe3t5Lly7l5+cfOHBAJBLpdLp//etfFy5cWLlyJZHaLBZLd3d3bm7ua6+9lpaW5nK5JiYmzp8/v23bttkZcPE3fcyTRVF0pnoTfD4fZ0acwsBmB1wA4TuQXh0KhdavX89gMMAHbbFY7Ha7w+EAWfKnn37icDh2ux2sFmKxWCAQLFu2LGbKCj5Pp9M5MjJC7GRNXIqbN28KhcLKysro4h12u72vry83Nzc622empYAtbrf7wYMHEYej0+mZmZkrVqwYHBz8/vvvORxOdXX13DsTwZ7hKYjQu6MTgfABCQkJKSkpVCr1wYMHra2tC/CVP4F4FhgQIUQFR2+PsAoTS8vE8ehwi3C5XKVSefPmzaGhIUiqHRsbGxgYEIlEUqk05tNOlBkj6G+RVBgKhYxGo9lsfu2111JTUykUSkFBQU5OzoULF/r7+4nUJpFI3njjDaFQmJaWBr11UlNTwY07L7fy7Ijgd1x9niPv4+NnKv0NDqUIcoS/VquVQqFA8TTwnHi93qqqKsgkQxBkeHh4aGgIivS43e6HDx8ODw//9a9/FQgE0kdISEiQSCS4WTPmHMxmMzEwi3hSo6OjJ06cSE1NJdYpwD9AC0qiXIn/Fkwo+HYwYo6PjzudzuTkZJPJRKFQdu3atXz58l/UfyP2zGQyIeUcn4bH44lJoyiKUiiUoqKijIyMqampq1evHj16tLy8PGbVtacLzwgDPnbAM0ylUnNycoRCYW1trU6nUygUFy9e1Ov1L7/8slKptNlsly5dSkpKKi4u5nK5RqMR1DfocAhlzRUKBV6yfJGM43Q6h4aGmEwm2IZQFGWxWElJScFgcGRkhDiSz+cXFhbiYpff7+/s7IR+r/GlPySWw2Gm7RH4xQnM8vxDJbukpCTs5wAGhKoTuPEREgedTif4ZPr6+np7e4EcnU6nxWJxOBxDQ0MdHR1AizKZTCgULlu2jMfjgfsbP2XiGbnd7sHBQciuiV6Z8+fPU6nU1157DX8fzHLiwWBwYGDg2LFjNBptfHy8sLCwvLx87u91/H2Tnp6u1+vdbjf+1YMHD1JTUyOEhvHx8evXr69bt04kEgkEAjCzfvTRRx0dHTgDPqVGQIRkwLiA6A3Q6XRbt249duzYO++8w+fzrVarTqerqKgALQxsbXl5eVwu99ChQ3fu3EFR9OHDh2azeXx8nMlk/vGPf1y/fv3crTmzAJytkKSJ351gD43oMQ9xyzDG5/N9/fXXbW1tkMeCxOnmhj34/f7+/v6Ghgar1SqXy1evXp2dnR3NhgiCjIyM3Lp1q6+vD0XR7Ozs1atXS6XSBU9mFnLEwz4A+GfgO5/PB4E7uGcGTAQQ86jX6/HatxAQ3tPTI5fLvV4v1DnH5UdwlEfXuMU/DA4OwuuH+D6ICQzD4K1WUlLS3t6OoujLL78MsQdzXxwYtmrVqvr6eoPBoFarGQxGb29va2vr1q1bgUz1er1IJJJIJCiKfvjhh319fe+99x6CIOFwGDpGxCw6/dSBZMA4gKi3JiQkVFdXazSa3t5et9udkpKSn5+v0WhQFJXJZAcPHkxMTIT6RS+88EJRURGKong9KwRBsrKy4tJkCx5m3NCDEGg6QsQg0rfVaj169OgPP/ywdevWbdu2ge0yXjd3IBC4e/fu3//+92AwmJqaevfu3StXrrz11lvr1q2LYIR79+598cUXg4ODSUlJDofj4sWL7e3t+/fvx7vXz+X0f9GYANtjVo7CMAysAUSBEb4FbwwIjJAviP91u92jo6NutxtyvSHfHDoosNlsFEW7urq+/fZbiUSiVCoh2hFPGMdLsMScJ/5henq6t7d3aGhIIBBwudxQKLR9+/aIgJ65r09VVdXx48c//fTTnp4eoVB4/vx5Go22a9cueCu8++67O3bsOHDggEAg0Gq1hw4d8vl8Wq0Wmq9rtdp169bNvsJPBUgGjAMiVLxly5aJxeLnn38+EAhwuVwWiwWPGY/HW716NU43xcXF0Vbn6Ip7CwPYy1gsFlRdRR7pPtCHgGjsxw/X39//xRdfdHR07Nq166WXXoJK1IufCb444+Pjx48fdzgc77//vkKh0Ov1X3311fHjxwsLC4FrYDIul+vSpUvt7e27du1au3atz+f78ssvL1y4UFhYGN3Yc5YjEi9KTEKMFpoiriMyA6fgEjpOi/BvMBgExRmivsHlAlscDofD4UhPT7darVar9erVqxQKZXx8HMMwNput0WiuX78ul8tPnDihVqt5PJ5arY6ISUYQJBAIdHZ2HjlyZGxsrLW1Va/Xr1y5srq6GgyLc7fY4gPkcvn7779fW1vb2NgIRUM++uijvLw8kEZBr0dRlE6nf/DBB2fOnOnq6uro6PD7/Tk5OS+++CKepDgv8fNJA8mAcUDEHQA3zf9rejmDFR+X+6LvnrjcTzweT6lUut3u/v7+goICBEGg4x2GYTKZLOIQVqv10KFDDx8+fP311ysqKubuVZwdxKNYLJa6urpXX321oqKCRqOp1Wqz2Xz06NHW1taysjLi6hUUFKhUKrxy7cOHDxsbG6Fc9lwecjTKu4L/Cvm5wB6T/mbxzODXMZpGQTllMpkR8jX8BQ0aMgUhFBHDMKDIiYkJcMtYLJampqaLFy8iCGI2mxkMBjTPmZycnJiY+O6776BX1yuvvALqajgc3rFjB17acu4gnmZJSUlqauro6CgwIGSOwrfvvfcebgiG+kYmkwlyveVyOR5GRtQhnkaQDBgfxLwDZhcloiUO4vbFkyCdTlepVEKhsLm5edOmTUwms7e3t6mpKSkpKTMzE7KnoWM9hmFffvnl/fv39+7du3HjRsinjsudjf/c5/P19/d7vd7nnnsODO18Pj89PR1BkO7u7rVr1+IjodssQrDQORwO6DVK3O0vkiASRZcR44m0CCCe8kwXFPt52kk0FRJ/iH/mcDigCGNRTmRQn6FdjN/vB4q02+2hUGh8fDwYDNLp9LKysuvXr4NdcmxsbHp6WiAQ7Nmz5/nnn4++x+Z4yWAydDpdqVTiPaOJOyH2C4b7BHT2iNOco+D5xIJkwMeGme6YWZ7A+UKr1a5fv/706dPhcDgtLe3OnTvDw8NvvvmmXC63Wq3//e9/mUzmG2+8YTabr169OjQ0VFdX19HRgf988+bN0GVi8TMJBAJWq5XBYBADPthsNovFmpqaiqASsJMaDIb29va2tra2trb169fj1i7A3NdnppEYhkEVWLPZLBaLV6xYIZVKZ5L74IPdbh8ZGRGJRHjpvZh8N8s0osdAu1QEQSDFAj8oWP3ACQOmRiBKh8Ph9/tpNNrKlSujOxfOC7PfaTFfGDONf0rpDyEZ8BkGhmFisXjPnj0sFuvevXtDQ0OJiYkHDx6srKyk0Wh0Ol0ulzMYDMh2Am2IyWQSi3TNEvi2gMlAM3iinwdECYhnjn7AjEbjtWvX2tvbMQyTy+W4DBgXcSMcDg8ODv7tb3/r7++XyWRTU1MSieTtt98GQy1x2kT6++qrr44dO7Z///6DBw8i8ZPWo/cAKwPJi9EGPqhxG90KkcQCQDLgswl4NiA99sCBA6Ojoz6fTyAQJCUlAZWAzxrqA7NYrAMHDkQXvpdIJGDYissTTqFQsKhENAzDYnpjEQTR6XQJCQmTk5N1dXVXr17NyMjYuHEjrn8tbFb4rzwez4kTJ1paWt59992srKzBwcHDhw/X1NTk5eWBWyaC2sLhcHNz8+nTp1tbWzds2AAbI/TfBa7OzHuIMDviJ06lUmEx48K/SxwkAz6bIFpwJBJJdPM2Go22bNky2EKj0TgcTkxnYlweMBRFGQxGcnKy3+83mUyQLQMGPijMSRwMpaSpVKpEIpFKpeFwmMlk3r59u6mpqbi4GC9nu7BZ4b+ampo6fvz4unXroP1jbm6uy+X6xz/+0dzcXF5eHkFtGIYZDIbLly/TaDStVhstFy9miaKthxHUFnEJ0Ci324IPTQJBkDiEO5B4MoHNUMYupqyBbyc+eBEDFqwRg8U9OTk5ISGhtbUVku1sNltnZyeTyUxPT8cwDKo8hUKhwcHBTz755NChQzabDY4InhOPxxOdULEwhMNhs9lsMplWrVoFgUEcDken0yEIcv/+/WjTnsPhqKurm5qa2rJlC/FdEhdEr3YExUf4T0ihL74gZcBnFjNpizGtTsTPES7RmXyp851MUlJSaWlpXV1dYWFhfn5+c3PzzZs3CwsLs7Kypqenr1y5YrVat2/fzuPxvF7vyZMn2Wx2VVWVx+Opra11OBxZWVlzqS4xF4RCIUinJfpAoY3y6Ogo8vMlCgaDLS0tLS0tpaWlKSkpxG65iwdxbSF4MBgMUigUFotFLKCATwYEZCIhUigUJpMZlyj6pQly4Z5lxAx5m8U3Gm1XmkkXmxfghxKJZPfu3aOjo5999plQKPT5fCqVas+ePQKBwGq1GgyG4eHhLVu2JCUlvfTSSxMTE6dPn758+XIoFJqent6wYUNpaekspY/nAuK5+Hw+9FFrZgCFQqHRaHj0OPJILnv48OGlS5cSExMrKysHBwexn2f7LhL4ggeDwY6OjitXrkxMTLDZ7Ly8vA0bNhBbtQHMZnNtbW0wGIReYCiKisXiiEo/JOYFkgGfZcwi6800eF4/mRfodHpBQcGf//zn3t7eiYkJsVick5MDj65AINi+fbvX65VIJDQa7bnnnpNKpb29vWazGUVRhUKRk5OTlJS0yMkQ9UooT0sshQ9eGiLJoijqcrkaGxt7e3tff/11FosFzaG8Xu/09DSHw4mL5AWz0uv17733Hp/Pz8vLGxsb++c//zk8PHzw4EGYJz7zgYGBzz77TKPR4PkYSqUSisKRWBhIBiQxJ8SFClksVm5urlarhWYgeKQhg8EgVtzjcDharVatVnu9XhRFWSzWIqW/CEB8L4IgoPMiCAKGSLfbnZycTBzZ399/9epVqNwzOjoKNSw6OzuvXbu2atUqYgTfIlFTU2OxWD744AO1Wm23248ePXrkyJEXX3wRmqziwzwej8PhKCsrq6yshO1sNhv3aJFYAEhPCIlfFSiKMplMCMGZfSSDwYAWV3GkP9BhwQIok8mam5tB7fV4PN3d3X6/PysrC8Mwt9s9OTkJVflkMplKpRoeHtbr9YODg9D0zmg0ejyeeE3J6/UeP35848aN0LIjLy9v7969IyMj9fX1ESPD4bBQKCwqKsrKysrIyICqwNHKMom5g5QBSSwh4Jo+NBVqbGy8ceOGWq02mUw//PCDVqvNz8/3+XxtbW0Gg2HLli1qtfrgwYN4l/e2tjaTyVRQUPDiiy/iktfigwH7+/vHxsaKi4tBraZQKCkpKVKp9N69e8T9Q0IIgiBWq7WhocHtdkul0szMzJipLCTmCJIBSSwh4N4eDoeza9cug8Hw73//W6lUWq1WDMP2798vlUpdLtfAwEBzc/PatWvFYnFmZibOL36/X6vVLl++nNj4dPHh4larFUEQiLPBo8eFQqHdbifu3+fzTUxMOJ3Os2fPIggCOTaFhYWvvPJKSkoKSYILA8mAJJYQcBmQRqPl5+d/8MEHLS0tbrc7IyMjPz8/Pz8fmigUFBRAT84IP7hSqYSeufGaD+4IRh/VDcKj/6hUKnREIQa3JycnV1RU6HS63NxcBEEaGhpqa2sZDMbbb78d994PSwQkA5JYKiCG+4AYWFRUlJaWBm4ZoVAIjldoFqrRaHBLJc5BIpHoN7/5zUyNShYMLpeLYZjL5cIPB8ZBKM+HD2OxWCUlJVqtViAQQIGJxMREg8Fw586dPXv2yOXy+M5qiYD0hJBYKoiO7qZQKFDoRSwW4x3iIU6Qw+FEF4iFfuERPQwWkyoD01Cr1RwOBxrCQa603W4fHx/Pzs4mDgbweDyIGaLRaNAFFCr4L2wOJEgGJLFUMEt6zNyNaHPJMpzvrqCieH19PXSwmpqaqquro1AohYWF4XDYZrM9ePDA4/F4vd7W1tajR4/29vb6/X5oE2wymUQiEbF4Iol5gdSCSSwVxJG84gKcf6lU6oEDBz755JPDhw+vWrVqdHT03LlzUBIxEAi0tbV9++23f/jDHxQKRTAYvHbt2vj4ODRQv3nzptPpfOGFF8iAmAWDZEASJB4PiPy7devWwcHBvr4+o9GIYVhWVtbOnTv5fD509QN9nMlk6nS6qqqqjo6O7777DmpkVVdXb968mcwLXjBilO0mQYLEr4+RkRGj0WixWDgcTlpamkKhYLFY4XB4cnLSarUqlUoWixUKhaxWq9FoHBkZYTAYUqlUpVJJJJK49LRamiAZkASJx4CYcdShUMjr9UKTv1l+C8OgyzMp/S0SJAOSIPF4EJe6OzF3SGLuIBmQBInHBpKzHjtI8wEJEo8NJP09dpBGhCUNm81mMBg8Hs/y5cshqcDr9XZ2dtpstszMzJSUlPiWpSJB4kkDKQMuaYyNjZ06derjjz+GMiQIgnR1ddXU1PznP/8ZGBggLSQknnmQDLikwWQyoQ6dwWAIBAJer/fChQu1tbVQfp30M5J45kHe4ksaUAHF4/GMjY25XC6DwVBfX0+j0TZt2qRWq8koMxLPPMhbfEmDx+PJ5XIul2uxWEwm08WLF7u7u6uqqsrKyng8HrKItH8SJJ4KkAy4pEGhUFQqlUwms1qtt2/frq+vl0qlW7duVSqVFAolZu9gEiSeJZAMuNSRmpoql8vNZvO5c+f6+vo2b968cuVKKABFbK72WOdIgsT/L5AMuNQBLSn6+vp+/PHH9PT0LVu2yGSymJRHSoIknj2QDLjUIZPJRCIRNMrYvHmzTqebyQVMSoIknj2QDLjU4fP5AoFAMBgsKyvbsGGDUCh83DMiQeLXAxkNs1QQnYJqt9uh72Jra2tubu6OHTsyMzPJCBgSSwokAy4VROuwdXV1Z86c6e7u9vl8b7zxRllZGYfDeSxzI0HicYFkwCWKQCDgdDpdLld+fn5hYWFVVRXebIwsWEJi6YCsjrVEEQwG+/v7TSZTQkJCcnKySCQic+BILEGQDLhEgWFYKBQKBoNUKpVGo5FCH4mlCZIBSZAgsXRBOv5IkCCxdPF/AEJg/XBguPjJAAAAAElFTkSuQmCC | The solid $E$ bounded by the sphere of equation $9 \cdot x^2 + 4 \cdot y^2 + z^2 = 1$ and located in the first octant is represented in the following figure:
1. Write the triple integral that gives the volume of $E$ by integrating first with respect to $z$, then with $y$, and then with $x$.
2. Rewrite the integral in part a. as an equivalent integral in five other orders. | 1. $\int_0^{\frac{1}{3}}\int_0^{\frac{1}{2}\cdot\sqrt{1-9\cdot x^2}}\int_0^{\sqrt{1-9\cdot x^2-4\cdot y^2}}1dzdydx$
2. $\int_0^{\frac{1}{2}}\int_0^{\frac{1}{3}\cdot\sqrt{1-4\cdot y^2}}\int_0^{\sqrt{1-9\cdot x^2-4\cdot y^2}}1dzdxdy$, $\int_0^{\frac{1}{2}}\int_0^{\frac{1}{3}\cdot\sqrt{1-4\cdot y^2}}\int_0^{\sqrt{1-4\cdot y^2-z^2}}1dxdzdy$, $\int_0^1\int_0^{\frac{1}{2}\cdot\sqrt{1-z^2}}\int_0^{\sqrt{1-4\cdot y^2-z^2}}1dxdydz$, $\int_0^{\frac{1}{3}}\int_0^{\frac{1}{2}\cdot\sqrt{1-9\cdot x^2}}\int_0^{\frac{1}{2}\cdot\sqrt{1-9\cdot x^2-4\cdot z^2}}1dydzdx$, $\int_0^1\int_0^{\frac{1}{3}\cdot\sqrt{1-z^2}}\int_0^{\frac{1}{2}\cdot\sqrt{1-9\cdot x^2-z^2}}1dydxdz$ |
96b205c7-f295-4c1b-8f92-36115708da77 | algebra | false | null | A statue is to be placed in the center of a park. The area of the base of the statue is $4 \cdot x^2 + 12 \cdot x + 9$ square meters. Factor the area to find the lengths of the sides of the statue. | The final answer: the length is $2\cdot x+3$, the width is $2\cdot x+3$ |
96fe4430-f908-4203-a29d-19913fae86b4 | algebra | false | null | Find the unit rate for the following:
1. $72.00 in 12 hours
2. 8 slices per 2 people
3. 60 votes per 10 hours
4. 1500 km in 3 hours
5. 45 bags in 5 minutes | 1. $6$ per hour
2. $4$ per person
3. $6$ per hour
4. $500$ per hour
5. $9$ per minute |
9713a882-0b56-418e-870b-ffca88ceedd6 | integral_calc | false | null | Solve the integral:
$$
\int \frac{ 6 }{ \cos(-4 \cdot x)^7 \cdot \sin(4 \cdot x) } \, dx
$$ | $\int \frac{ 6 }{ \cos(-4 \cdot x)^7 \cdot \sin(4 \cdot x) } \, dx$ = $C+\frac{3}{2}\cdot\left(\frac{3}{2\cdot\left(\cot(4\cdot x)\right)^2}+\frac{3}{4\cdot\left(\cot(4\cdot x)\right)^4}+\frac{1}{6\cdot\left(\cot(4\cdot x)\right)^6}-\ln\left(\left|\cot(4\cdot x)\right|\right)\right)$ |
976c03a5-16e0-4c2e-90df-cd141bd8283d | integral_calc | true | data:image/png;base64,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 | Let $f(x) = 3 \cdot x^2 - 5 \cdot x + 4$ and $g(x) = 4 \cdot \cos\left(\frac{ 1 }{ 3 } \cdot \pi \cdot x\right)$. Let $S$ be the region bounded by the graphs of $f$ and $g$, as shown in the figure above. Find the area of $S$. | The area of the region is $\frac{6\cdot\sqrt{3}}{\pi}-\frac{5}{2}$ units². |
97c73ad3-fdb7-4d73-a89e-0468268aef85 | precalculus_review | false | null | Given $f\left(\frac{ y }{ x }\right) = \frac{ \sqrt{x^2+y^2} }{ x }$ and $x > 0$, find $f(x)$. | The final answer: $f(x)=\sqrt{1+x^2}$ |
97ee1080-fd0c-4589-8e0f-94ebe5f3ca51 | differential_calc | false | null | Given the curve $y = x \cdot \arctan(x)$, find all
1. horizontal asymptotes,
2. vertical asymptotes,
3. slant asymptotes. | 1. horizontal asymptotes: None
2. vertical asymptotes: None
3. slant asymptotes: $y=\frac{\pi}{2}\cdot x-1$, $y=-\frac{\pi}{2}\cdot x-1$ |
98259afb-1940-461c-8e82-6071fe19fdcd | precalculus_review | false | null | Solve $\left(\sin(4 \cdot x)\right)^2 + \left(\cos(x)\right)^2 = 2 \cdot \sin(4 \cdot x) \cdot \left(\cos(x)\right)^4$. | The final answer: $x=\frac{\pi}{2}+n\cdot\pi$ |
9866e840-a797-4beb-8a66-acbe130d9043 | algebra | false | null | A stone is dropped from a $196$-foot platform. Use the formula $h=-16 \cdot t^2 + v_{0} \cdot t + 196$ to determine how many seconds it will take for the stone to hit the ground.
Hint: Since the stone is dropped, $v_{0}=0$. | The final answer: $\frac{7}{2}$ |
98757ddf-dc2d-4922-88e9-8411f9a0454d | integral_calc | true | 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 | On a cylinder with a diameter of 6 cm, a channel is cut out along the surface, having an equilateral triangle with a side of 1.5 cm in cross section. Compute the volume of the cut out material. | $V$ = $\frac{108\cdot\sqrt{3}-27}{32}\cdot\pi$ |
99657d73-b5d7-4d73-afcd-49ddbb6fc64e | sequences_series | false | null | Using the Taylor formula, decompose the function $f(x) = \ln\left(1+\frac{ x }{ 2 }\right)$ in powers of the variable $x$ on the segment $[0,1]$. Use the first nine terms.
Then estimate the accuracy obtained by dropping an additional term after the first nine terms. | 1. $\ln\left(1+\frac{ x }{ 2 }\right)$ = $\frac{x}{2}-\frac{x^2}{2^2\cdot2}+\frac{x^3}{2^3\cdot3}-\frac{x^4}{2^4\cdot4}+\frac{x^5}{2^5\cdot5}-\frac{x^6}{2^6\cdot6}+\frac{x^7}{2^7\cdot7}-\frac{x^8}{2^8\cdot8}+\frac{x^9}{2^9\cdot9}$
2. Accuracy is not more than $\frac{1}{10\cdot2^{10}}$ |
99a2304d-5d8e-4245-90da-a80651ca15d8 | differential_calc | false | null | Evaluate $\lim_{x \to 0^{+}} \left( \left( \frac{ \tan(2 \cdot x) }{ 2 \cdot x } \right)^{\frac{ 1 }{ 3 \cdot x^2 }} \right)$ using L'Hopital's Rule. | $\lim_{x \to 0^{+}} \left( \left( \frac{ \tan(2 \cdot x) }{ 2 \cdot x } \right)^{\frac{ 1 }{ 3 \cdot x^2 }} \right)$ = $e^{\frac{4}{9}}$ |
9a3d7fe3-6b09-420a-85a4-d0632f7d989c | algebra | false | null | Use synthetic division to find the quotient and remainder. Ensure the equation is in the form required by synthetic division:
$$
\frac{ 4 \cdot x^3-33 }{ x-2 }
$$
Hint: Divide the dividend and divisor by the coefficient of the linear term in the divisor. Solve on a paper, if it is more convenient for you. | Quotient: $4\cdot x^2+8\cdot x+16$ Remainder: $-1$ |
9a4bb7a4-1625-43ab-a149-4c70aa79b19f | sequences_series | false | null | Determine the Taylor series for $y = \left(\sin(x)\right)^2$, centered at $x_{0} = \frac{ \pi }{ 2 }$. Write out the sum of the first three non-zero terms, followed by dots. | The final answer: $1-\frac{2}{2!}\cdot\left(x-\frac{\pi}{2}\right)^2+\frac{2^3}{4!}\cdot\left(x-\frac{\pi}{2}\right)^4+\cdots$ |
9a52c80d-be49-4c0b-b9d9-b4d7c1d76989 | differential_calc | false | null | Sketch the curve:
$y = \sqrt{\frac{ 8-x^3 }{ x }}$.
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes
3. Horizontal asymptotes
4. Slant asymptotes
5. Intervals where the function is increasing
6. Intervals where the function is decreasing
7. Intervals where the function is concave up
8. Intervals where the function is concave down
9. Points of inflection | 1. The domain (in interval notation): $(0,2]$
2. Vertical asymptotes: $x=0$
3. Horizontal asymptotes: None
4. Slant asymptotes: None
5. Intervals where the function is increasing: None
6. Intervals where the function is decreasing: $(0,2]$
7. Intervals where the function is concave up: $\left(0,\sqrt[3]{2}\right)$
8. Intervals where the function is concave down: $\left(\sqrt[3]{2},2\right)$
9. Points of inflection: $P\left(\sqrt[3]{2},2.1822\right)$ |
9a619d61-4b5a-41df-b77f-d40cd4de08f6 | integral_calc | true | 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 | Use the method of shells to find the volume of the donut created when the circle $x^2 + y^2 = 4$ is rotated around the line $x = 4$. | Volume = $16\cdot\pi^2$ |
9a747069-b533-4028-beaa-ede804697d36 | differential_calc | false | null | Find the derivative of the function: $f\left(\alpha\right) = \ln\left(\sqrt{\frac{ 3-\sin\left(\alpha\right) }{ 4+2 \cdot \sin\left(\alpha\right) }}\right)$ at $\alpha = \frac{ \pi }{ 4 }$. | $f'\left(\frac{ \pi }{ 4 }\right)$ = $-0.2848$ |
9a7e26cd-3563-4be8-b7cf-8bf6f84a7971 | differential_calc | true | 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 | Use the graph of the function $y = h(x)$ shown here to find $\lim_{x \to 0^{+}}\left(h(x)\right)$, if possible. Estimate when necessary. | $\lim_{x \to 0^{+}}\left(h(x)\right)$ = $0$ |
9a9b9a73-72ce-45f2-bd8c-7392ed94b89a | multivariable_calculus | false | null | The solid $Q$ has the mass given by the triple integral:
$$
\int_{0}^{\frac{ \pi }{ 4 }} \left( \int_{0}^{2 \cdot \sec\left(\theta\right)} \left( \int_{0}^1 \left( r^3 \cdot \cos\left(\theta\right) \cdot \sin\left(\theta\right) + 2 \cdot r \right) dz \right) dr \right) d \theta
$$
1. Find the density of the solid in rectangular coordinates.
2. Find the moment $M_{xz}$ about the xz-plane. | 1. $\rho(x,y,z)$ = $x\cdot y+2$
2. $M_{xz}$ = $\frac{24}{5}$ |
9aab748f-36a6-45cd-9b07-e6a7d3a102e5 | multivariable_calculus | false | null | Compute the second order derivative $\frac{d ^2y}{ d x^2}$ for the parametrically defined function $x = e^t \cdot \cos(2 \cdot t)$, $y = 3 \cdot e^t \cdot \sin(2 \cdot t)$. | $\frac{d ^2y}{ d x^2}$ = $\frac{30}{e^t\cdot\left(\cos(2\cdot t)-2\cdot\sin(2\cdot t)\right)^3}$ |
9aac6c97-c3ca-4c2d-974d-f51b40cc75f5 | multivariable_calculus | true | 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lVcTarcihTVWaDtjOTGMGUdJSh9pCDOiQCQEQQ6gtb1TwtLdez6nnp9ykDGRhEdLq1Z+l7u8oL0+dUF6rjEAAIcwcr9jAlHU0ws3IZez8datmllinz5UCnb/cqZf5Sv/f6hkM66O4l05Mc9rFssMnYY0o6mvjQEZWJHVffLwN+//617PerII5zXQOrdxxNT3Lcce1Uc9Ec85gZQqMPJWw1A79Y5NaSWkvNEt+JA4HTRwhMpO05eqa+qf1zt8/LSEkYh+aajC2mpKMJp9N57Ngxu91eVVWlxBwIBE6dOrV169aenp5rrrlmUnl5fIIj4ZYHen77Lf/x/czC4/Ws33Pc5fJ86a55QzarTWIWc+IdNZw5c+bhhx/+xCc+8fd///ehQIujR49+/etfX7NmzalTp775zW++uuxVGdBtVXNtBZN9e1axu6+rz7N+d+Mti6fkpSdfWGXHJBYxR+moYdu2bTabbfr06S6XKzTffvTRRysrK3/xi184HI5XX331+eeev/7GG/Lzcm2zb3At/70eb9l0is/Iwn/6/A0kiMxRegJgjtJRwy233PL9738/MzNz6IubNm2aNWtWcnKypmk1NTV9fb09PT0kNFvVQiTnOHb9ddcpT2Vpfk1ZHkEAl5N00CQ6MUfpqCExMfHiF0+dOpWfnw+AiBITExlwu10MaPmTrKVT8k4NOHpLF0wpKshOxmBBSnOgjmXMUTr2oPa2thVrN+7sxXOuWrsGMXBm5TvvdHSdg6nmCYAp6ehgaOIRI0ERwMzx8fEej0e9HtADdrvNarX19Pbv2rnz5WZtty89T+vztx7etXNXX98A2ExLFPuYko4Ohu4/h7zHiGjevHkHDhzQdR1A69lWXdeTkhKrJlf86Ec/qlp8p1+zfym9+d/uv+FHP/5heVm5KeeJgLmWjhrWrVvX29t78uTJc+fOvf7667m5ubNmzfrUpz712GOPrVixIiMj449//OOsmbOys7MBtHX1bzt43DvQszj9iK9ui33mEtgTjcxE5nM8pjElHR0w89atW0+fPp2dnZ2Zmfnuu+9OmzZt2rRpt99+e1tb25/+9Cev1zt9+vSvfvWriQmJDNSdaNvT0JLsP7u93Vl4dJfedspSXGOkNjKJaczskFGD3+8ferOEEJqmEZGu636/X0pps9ksFsEgf0D+6NEVL7+3Z05aR7ne/o+WvUlf+Zn16vsFVLTl+H0Gk9HHHKWjBqvVenEMFjNrmqZpWugVAg843e9ua5hekZ/g6veKjN7UaZYNf4lbfDeEhU09xzrmsirKuGBWdaHCwQy8tfnwuZ7+aRUFNqtFt6cMFE73HT8QOFUPXEYRapMoxZR01KCG6NAOVujF894DAuiRF9flZSaVF2VoJFnY+vOm+RypA8sf5VCSX5PYxZR01BAakIeOzOeP0iwg39p4uKm1s6o4pzAzVZImWHqyJnlTC7y7V8nOVnPiHfOYko5i+LwvGSBfQP55zR6rxTJnSomEhGRJkJq1u3IJs3SvfYmkZDAzh4pRm8N2jGFKOsoxptKkvq470bb3yJnSvPTKwgyCCI7h1Fc4T49L9R/aoHe3Gh5kLNhI7m8SU5iSjmJo8G8pASas39PY3tl726Jai1UYKgeBEIhP6Jh6h2w94T+6m6HKz4bq55jjdExhSjqqYcOEzYJAre29G3YdS01NmDe1WGU7YPWHmaRsm/5Rf0D667fD02e4kzKBJMzldWxhSjqqMWbOTCDIYy2de462LJlZSdBDbyCGYGIC2xydFUu8hzYFOs4SG0M1w1R0rGFKOqoxcvqqYjnLNx7UBGZMzgM0ggBAYCZmIiYiid7yhYHeTn/9DjZ+k83ERbGHKelohim0FmbQyyv3VJVkZaYmCgaTBINJFaXVSbJOwpNa5Mya7FrzJyIiEJjAQhjWb5MYwZR0NGPYxxjgx15e69f1qZMKEuPtECQYklSZWggIJmiQ/oQMZ+4Uefak78AmqAcCmWbvWMOUdPTCDBCDQQNu/zNv7sxKTZpckm1YxNRbVE1LgIgkASR6i2b6HGmud/6AQMDYl2awuZ6OIUxJRzOsqkvjvR31J9u7p5TmZacnsRChFTIRGVtVKo8/szerwpNW4Dtx0NdcTywYRCAzy2AsYUo6eiEiEJEu8cbag7our5pZrBHACEhSi2iWPLhfxawT6Zqts/o2eN3+rSuCI7hO5sQ7hjAlHe3wvobmgydaasoLJhVmM0DEQkhVWppIA+sMSIIAKSN4X8k8T3yq79ge2XFGB8Dah53CJJowJR3dBCTvqT/d3NZzzw3TSRXJUi5hxuRbBjMesGHUZpZWW8fUO/Qzx/xNBzVmcxsrxjAlHbUwGLK33/XOtoaS/MxJ+RlqS8uwmg1GXQ7Ze1ZlqZm6Jl/rkxw4vJ39Xp1gqjqWMCUd1Yjm9t5N+4/PrymyWrRL3IuSDGlL6i672rPrbdnXJUxzd2xhSjpqISbg6de3piTGV5Xk0KXbuEhCs/YXz/Z53N5db5O5Lx1bmJKOYrp6XK9vODSpICMvK/kyC9hJd2aZO73MvepP7HONWgNNxgFT0tELPbN8qzdAMyYXxNut4Mvw6iRo3qQsd9akwLkznrqt5ko6ljAlHX0oBfY6PUtX7UlPstSU5xnO3uqnQ7IYXfiFMccmHQxQT/k1uj3J+97T5PeZFrKYwZR0dGCEZoCV2ZoZ7207crZzYFZVUUZSPAABIw5DOW0LY/PKELFQiUxApOpiMQNwZk1yZ1cEzhz3nzgQspUDzGxGcUQxZh7v6IAgAaHkLIgH3P6V2+tdHu8tC2uYSABGKgMmEnRwz7ZHH/5PEPV0dxDRO2+8CsZ3vv/DqtpZYAiCVLIWdG7qncnv/MRzcH3ipOnQrAQwKy9SaT7uoxRT0tEBQyqTNpGQjCMnW3cePrNwallWSryEBIThzk0QUk6bMe+3z70K5ldfetJqsd5x/+dAJKRkllIFaYEEA6C+wunehEzLsd2yt11LLwAzEcDCNIFHL+aTODogWIxEYgCz3FF/urWj5/q5lZIEIBggCahYSQFJALMAC0kkicBglgQSIIZUPwcBkEK0Tb8vcKI+cLpBhhKRmXqOZkxJRxFGyJTXF1i+/lBJfmZRbgoFExUFRarW0gSoDEWChTAW2kZsdGixrR4A1F84w21zeHevJKnkbIRtmUQppqSjBKkHtYqDx1t3HD41pzo/Id4ezGwCSSDJgCCV9oAlsQSYmImlYEmkkpcIYiIiCWbWiKUvMa2vaI5vx7tw93FwpB/fz2pyJZiSjhIEqRS9UvIjL67LSk2aXJxDJFSUlZouq3WwMolLZQMDmIyv2ZhWSybD1xuQDCEt8QN5U72SXWtfVUlDzdKWUY0p6WhBEIEYx063r99zpCg7rSA7NVyHduVWe9ML3e89JZ19MApnmXPvaMWUdFRBeOGdnQEdc6oL4+3WcB3VH582kDs10Nfm27tWLc1NQUcvpqSjBQlGa2f/qt3HbBbL/KllYTw0E3VW3ayx8O5Yzn6Pyh4axuObjCWmpKMDBjF4ze6jLW29H71qqt0azvUuAf6U3K7ief6zTf6TdQCDzY4RrZh3LkpgGnB5t+4/4Q/o180qR1hNWMpw1j7nE3pPu79+K+u6GUMdvZiSjnAMOzURms/1rt9/bPaUwvRkB8KbioTAxN7MCmd6ke/QJu7vImmcfEhx+rCdzWRUMSUdkRiFcXSVcoggGdh8oKmlre/amRXB+IqwjaTERCQkqLPqNn/DLm9LA4Rk6CAmI1TEDOSIGkxJRySGN5gAQAQG+QP6i29vn1KSnZeZwoKEDO/UWHmMsju70pWa51/zZwYRNDZcVcAwvb6jBlPSEQoDSkzKjWTbwabDJ9qqS3OSEuwAmMK7z0QSEEze5Gxn/jTP/nWytQksVU2tYAi2OfOODkxJRyykXLZVsON/P7s6McFRU55rsRBYC6+8VD08STppCa7cWh3kWvuS4TIOoSLAwjwtMBk1TElHJkH/LUEEHDjWtv3wiYLMhEkFWQxiBMJ/PgYR6ST7CmZ5k7K8G17h/k4KrgBAbO5URwumpCMUI6E+s67LZat3BySunV1hsQgwU7in3cbppABBj0vqKVskfT7vznehciGo9Cim53eUYEo6EmG1gCWAqOVc7/a6puR464zJRayCH4Wh9/CeU+UvkkQ9k28IELx1G6WzTxW/DKZJMokCTElHIsYyGiBg5+GmwyfbP3r1VIfdKpiEUbeOwpupgIkIkogA9iXn9xXPD5w+EjhzBBIECpnpTCIfU9KRiQpuZpfLt37fCZZYMnsyMYNYZ0K4BaZKx0uCKnUp2ds+855AZ7u/YSezHgyiNrtKdGDep4iEGRAEOtvdt3p7w+IZZQl2KxNJtU1tFLwK2yitbF/EJAAhQWz1pRQ682u9O1eyx6kyJ5jmsWjBlHREQgQiBtbsauwdcM+qzIdmWMSYWajaOeHUGKtswNIwbcuAxdpTMtff3Og/sV/VpjYzkkULpqQjEwZY1wOPL9tcXphZmJsGsAADENBCaf+C7+VAIOD3+0K/GWRYEQ7/IjEAFswEkBCC4Myu9iRnut/7EyCJhLmWjhbMpL+Ry8ptR0+1dd69ZFpqYpxy8AIgjV0l43+v17t3x5bWlmafz1dcWlo7fW5CcrIgKVlAhV0wEwgqORERvY80JQCQDG2dQXhSC13ZVfH7VwfOHNcKK8wxOlowR+nIhHwB+cRfNyc44mZVFQsx/G0iyHXvvfn2G3/Oys4pr6ha/e6b76541e/3SRYCTCwBAgkO+XReDmy19xXPl5Y498qngTAb2E1GD1PSEQnj0LGzB4+3lualF+Wm83AjqwAk05p33pw2Y95VS26evejamz92z46tm5x9vQBLkMpWZuyIkbJaX97sub9wViAuzXNkm97RbAZjRQumpCMRneWKzYcGBtwfWTRFiOFlKAEQZWSmd/d2eQMe1n1d7a1JiYkWi1WwGDSfcYCIiY2XLn2oZSLdFtdRfT31dvnrtpijdLRgSjoSaW7v3XawKTczpbokh4Bhq8ETA8x3f/qLZ06eeO7x/3vhyUfXrXzrxtvvTEhOCuY8EWBm0lSSI75Mq7UymHVU3+5j+Os2666+8Hw2k1HGNI9FHAwcPHb2UGPLJ2+Zq1m1YHmMi95GAOhkY4MuA5VTauNs8WeaT505c3pWIHDi2OETjY1MaKg/oGlipcMBpjkLFqdnZqmCG5fYDCKhJ6R2V1xnO7IzvvWENmlmWD+oyahgSnr80cGaEfLExBTQ9bc21VmtlhlVBSpY4v0lyEuffeITX/jatdffykQpqSlP/u6/F19zw8DAQFt7C1gO9PVZNGprawXD7/MSX5aZjBlCQ6B78vUZ9St9R7ZbJ01nCGIwSWIBMjerIxFT0uOPxkprREQg2d7d/+aWukXTyhLsVmYWRgqwYcSjMTv7e+1WdRMFQ+hMuq7PmLNg+tyFBCx78WmL1Xb3/Z9RqYYkcOkGMgHBLCU0b1LOQF6Nbdubjlu/DG2I6dtUdERirqUjguDWMcDi5Xf3sOSqkhybRcP7C4cAHTRv8ZKNq99pqD908lj9xjVv5+YVJKeksSAisFEjWqongtqTvhwNGmfW7Y7+ohn+M0c99VsIxMRGub3LtqCbjAWmpMcdZmKQVG7WTp///17eUJCdWlmUQUQCkolUErKLfg8g+sI3vlszc+5fXnr2+T/8f7b4hM9+5VtJySlgZlYBVEwsVL5AeZkRkgxmsARY2PrzZniScl0vPwLoRvQ0ECyIaRJZmBPvcYcGd5dYvrZ2T6/Hd31pdmpyguHw9T4yZIIGpKal3vXxz+MTTFK5iUGHtBCzlCpPCYQtWJ+WiejS68wyBIEFQ0L3ZE1yZ1UkNK7yHj9kL5/ORu4zczyIRMy7Egmo3IHs9OjL3tsfb6dF00qVl8gHpuAnyRAkGJKksUPFAEFIFiAy9qFkQNWMJ6LLjJDkYC5DAtBVuURn8m3+K8sAsTq4OeuORExJRwBMkiQx72tobjzTWV2al5eZohKE4oNio1WCb2OMZ4IEQkOnBBiSlEOo8W7w5bmAMVSIFiCBgfxpnrRi/chO/VwzU9B13CTyMCU97hj5B3SJdbsbWzt6771+hnLqvnTr03lv46Gr5lBKo9Brlz60npcOSWrWc9M+5m8/6TmyEwzdjM2KVExJRwQk6My53k37TlQUZJflZ4x3c4anY8rtfku8rN/O7j4NcngPGJPxxpT0uENgYpYHj7XsP95y3dxJkVvYgqiz6gb/4a2yqy046JsDdcRhSjoCICYSf11/KDUhrrIoS1KExjwJKXuL57q9bu++NQDMiMvIxJT0OKOS9fX2OZet3ldbnpudlhSxYYxE5EnOc2VVuN97XtnfzDE6AjElPc6o7aCHX1yf6LBNKcuz2jQtUp0FJJHuSHMWzND7u7wbl9F5JThMdUcKpqTHFB7yt/qSwW1dfUtX7ctNS6gqyWYGX7o7yNiiGtZXNNvnSHeueYk9bhi5kIK29Aht+MTClPSYopaexGwoAUzAym1Huvs9tZWFaYnxIuhyGYEQERN7UwsGcqrQ2uRv2MEqFzBJY7YR5rylJiPBlPTYogZhCmU1EAMe/xsb9hPk9bMrQCQBLVJHaZIMZpDWU3Wz3+/07l0NGTBqZamECdBHkOTMJLyYkh5TVAilIVliAHuPNNef7po3pSg7LRHKqTNSC8oxgSAk0Fs43Zta6j++L3D2hKqvqfxDBTTTBD7umJIec9QgDWaQ369vPdh0rrvvo1dNlSF3rUiVNGDkTCKgddY9+tnj+on9KljLiMWWMCfe444p6TGFAFBALaMJssfpWbuzYVJeRlF2CgwPbWJE6CYWSEKqbA2iv2CmKz7Tt28tfC7lLRNMkRbBz6OJgSnpsYZhIWZmkqDDx1t21J1ePKPcogllKmMjV0FEwoJJAmCCbo3vL53nqdsiuzsYDFLld2CO0uOOKemxRTlSkiBiAfzu1c15GUmTirKIQMF6GpE7SBvRniSYWbP2F870sfCsWUogQCiXbzbNY+ONKekxhcFkhDtQfVPnxt2Nk4qyctMTiEKh0TKCR2moFAo6MRFcmeWurFL3hpe5r8swEJjZyCIAU9Jjy6Bc+fm3t1k0y8yqQrvdpqstIjAAGambWFKQTsTEQhJJBOJSXLnT/T63d8cKGFZ8aSp63DElPaYEa9mg5VzfG+v3Z2UkTp+Ur9IRIZgoJGJVQZBC1cIj6AIAeksXwprg3v4muwck1MeI0OfRxMGU9DhAjLe31HX1+RZNLYmzWwhglpIi2DCmYMHBGlvqK29afk/RjMDZk/6GnQIjKaZnEnZMSY8DPQOuDXuPQeo3Lag2SjtDILjDe2UQQEQQjGCCIuNro9rdFdxxDv4nQ/lDSbTP/ITu7PIc2Mh+j7mJFQmYkh5TVORDY3PH3sbWa2ZVxFm0sM5UGdBZgBmSBJNQJmomIVVJWgFAD+MZhYQns8SVU6Mf26t3tgHSnHaPO6akxxQi0nXetL+po7t/ydxKXE4W3ks7vKDQThmYWJIx9hspRInCmXxbEjFz55Rb/S2NgaZDgHi/FMUmY4Yp6bHGHwgsW7W7uiQ7K9kR9rWnBMAsmFUECBOzemgQCWZwmLMrECQYA7m17sQsz/YVxmsm40qERtvHLCw3Hzhef+rcg3csTIy3SVUnNkwqIIAksaCdW1b/v3/+Hkjoug+gJ377CJh/+vD/TZ9zlSaZwzeSShCB/Y7UvpL5cXuWya5mkV4YpmObjBBT0mOKX+ffLduSl5ms0oC+bymNEaEcM8E0Z9H1b6zbC5avvPSM1Wq9677PgIQEsyrWE76BVIBBApo2kFOdHpfmXP540ud/Yg7U44s58R5VLhTszsOn1+06UlGQkZ+dLFXNqnD2/yE+aJCSiIyRmyQkgh6dYTwfkwAzs3BlV3lT8j3blutdreonQ1OHm4wlpqRHEaM+OwdjD8FLV+7SNDGnqkizaMSqakV4z4ghBjce8ke9wGFOJsQqr4nU41P6imfrLqdv1ztQfq8AmGXkpl2KWUxJjyI0+K8A+MjJ9i0HT6UmOebWlFNMJLZXJTc1EgzZMeUmCM234x3p7AEEM6tYlFj4nFGFKelRRao6zAzoEhv3n2g913PXNTOY/coqFsEhGpeEikHRAUDocanttbf5O077j+9XMaLBhYA5TI8ppqRHEYYw0gIwevpd6/ccs9utV88okwRJBJAI77b0OECSjD5E4I7p9/hdHv/h7ez3GqXqo/3zRSGmpMcAAuFsZ9+2Ayfm1RbbrYIgSPX4SA2NvkQEAMkgAkGypjuy+vOn+g9twkAnAFKRWabj99hiSnoUCRWTZWD5hoMuT2Dx9EmSoCbkZPwfxTAxkQbWmYlI14XeM2mx58wR3/EDqpS1YHCk1gOKVUxJjypqL4edTu8rq/bXlOdkpiYES0kRE8kov/7MxJASwrB9Q3NmVrgzJrnXvaym3JLMMtRjTXR3qchHbQUv33j4bEfvlLLcJId9vFs0uvgSs125U/0Nu2TTYUClYzIZU8wrPoowCMzM+L9la1MT46tLc6Lcwn0JaJb+wql+zepa9QwHEySOd5smFqakRxMGiNbtOtrY3FFWlFGSlzbeDRp1GBjIrfEk53n2rZbtp0Bh9Cg3uSRMSY8mBK9ff2NjnV/HDXMmT5DRiq3xPZNvgMvp3bWSzeJ3Y44p6VGEwMebO3fVnynNSqkuyZ4gU1AGuiqv81uTvIc2cXeraR4bY0xJhxHl0syAZEgGmGnf0TPHzrTdcvUUq6CJca2ZwWyN75xyo36qIdDcCCaV3khXvnQRXG03NpgY3WysECBAAoJYEGS/y/PutvqkuLgFNSVMNBEy4hJU4jPurLrB73P76rdA9zHpBNZYEJgnxGUYT0xJhxECq0xAAIGZmlt7NuxpXDi91GbVgil9Y5xgjiTyJWT0Fc707HiLvR6CFqqYRSDEvNl/XDElHTYYoeLpUjKDaNm6fSyptjyPiHVARHRNyrBBgM7QLfG9JYsCPd2u3e8qlxvD39v0Dx1lTEmHCxWWrMKEQQSX2/ent3eV5KcVZqXAqCod5f6flwoLEgS4s0o8Kfne956DrhMTEwGSKdwx2ybnY0o6XBCFFEuCgKXv7enpd9aU5aYmxQsIYkRuAbuwIolAugC8yQXO3Mn+Uw2+hh1Damebih5dRiLpUI6M4N1hNUTJoT8874tQYo2L8my837GHPwoP/cEFBzK+ZTZy3Ku53kVHGsbcahyFjcTzwY9ltHiYlr6fMjkUStnv8j339s6EePucmmKmUG7fsCYlAoiNQCdi0oJHlySCLRmfKS4xiFkCLCw9JQulxepe9YJKQqwqURMZI/XgDQ32juF7RjDj0ftZyof7LfV2OeToMKzxxrP1vBfPe9fQN1/iZza6/wVtZGY5KJCxepJdtqSlkYPGcPQjSFVc2LBkDt6VUH8iRiiHR+jr4X2KLtCnOoqRXYdDAQASkM0dvQ/+9IWX3tqhB/Tg78jm1q57/vGJojt+POfT//Wnt3YyJCAleGjK+CEumRKQulE+VQeCKTiI1WhLklllqlYtYqna9P6xFhRsub794IlTZ7umlOTkZCQTiTDn2g22nsDCuDR6IDihFSyFqq1FGJd5ATEbaYqgDxRO9afk+U7u9zUdlkb6ImKASJJU7qJg1mFYIpggSe0CBq82g0OxXO9nigi+zMbeISBVpR8WgRMHex/9rm/dnwEwSM3+9dbmvsf+vv1vprX/7VzXO0/B52KoiDFpPAUkg4mClVAuAZYQKnU6GVuYKq2LMDJVhTWL4wdz2RlCVRuNJy0BEAQJCGYiUn9JJgElxeBgoXJJA9J4gXQMlyM+GI2ofk892QwhhzwW+p2+19cffPKNbWfOdU8qyA7d+RMtvUu+/sgDtyz4ly/fdqix5b+eW60zPnf7HBIkVTUndXRmpWqGaGrttgjKz04GaWoYYaOxRAwICrYq2Hw1JIZaOjzSF8CaXY0er++WBdXGhRACMJ4U4XpWC7AuSNWmCng9Hp/P4UgSFgKzCmwkHh9bFBNJFhboOgmw1jrtrrKNj/kPb7YVT2ZY1NQCLFhIsErlr27OoDEi2L9YlbM2thIAQAdpF51QMqtbNVhUjIil1+vd8ppn02v+s8e0rGKrYclg9rn7nv93kZSe+v1nufOsc8XjJCzxNz3ARh8gQKU+lQRxiVJkhmaMDUQQRpZIkqpPMQkKlkYYAy53lA5ddOxrbFm6ai8ApdkDjWeXrd7b1tXPRMYHCF1glbaGYMiYwPjgmg/GfVXP5ZDO1ZzpSFNb3YmzP/jiTQtry9RopCbbf3x9U7Ij8QdfumFeTeGX7px3z43T395c19XvpuB0AkP0rLrI8dPnTp7pDCbTCT3rKTTcHj/T9fqGQ/6ANHZfgLW7jq3cWu/1Bd636UxNLZ1bD52qLM6uKs01DhmczYdx7sUgAdYD+r7d2//wf4/87tc/ffnZx9vONDNpwZBsHr/tIuOxwuDe8oUeR5q/Ybvs7Rp8qCmpGNMhyO429/a3pKtfPYUCLY3uDa9wf2fINSVYY+BiPUN5AxhWtyEPTb3tpO/YbsetX7HmVRCrIiQMkL9+K3e3J9z6RVv5LNucW+KuutezdTkC8vzq2EqZl/pp9dP1rvVLg3NRJim99dt9h7ezDBAZFUjGzNf9sifeRkw78YDL88snV63b3QDgbEfvd379asOp9lRHfGiBByAYXEiDnTl0V4f/gKEVoOTBQsvGi0TMzNXlud//ws2LppUBgliq/PC+gF5/vHXBtNKUBAeBmOnW+dUt7b1nz/UGc+nIYL0Xoxsxs7FwBhl9X5J6T+jWnjjT+etnV3l8AWIA1N3r+uavXjnSdM5iGbZvGVP8vUfPHD525ub51aFns8Co5OASTM1NJ5/9/f83qbLqY/d8cu/OzStefdHrdpKxiAhnrZxLh8EaBJgFSADSmthdcZ2/frfe3szGw9X4M6hpr9vz3rOBI3sIzH3nnMt/x+3NiEsEJEgi+BQedseA1fSHjeOpVTyDLdklSZ/8V2vFTAgLSOfgbMtTt1lLzRHZRQCINEtuid7bzl6nEh0PrsDVUDXcBbyoFfqZo/0v/1zvalUPFel1Dbz8S9nTTkJjDs3tInTirSanJMFXTS+fVJT16CubplUU/uC3Kwqyk3/wxZsADcayl8F4b1vdC2/vltAIujFTJKkLS4Lgr9y7eF5N6QVHZxkI6BS8jMaySM2ABZGmgYgS4+xgOD0uJp2J1E/be/q7nZ7508tZhf6QqCjMPNfX39HrDApUBA/Kfr8OgAgBXQoSAb/OxGBYNM1IpGWMI3pORqIkOnG2e3p5jq7z/yxdZ7OKz9w2WxPD3x4CAixXbDyUl5VWWZjJRABLQEgOe/FlAaFDrnz7taqa6Td95G6L0P79v/6vt7vTZrMTETEkS0Af4+oLagIsISE0ln4SGrPsqliSWfe2a8ebKZNnq7QIDICIoRORDhaZBdbqha4NL1mnLnateoH9AfttXyKbHcyShJAsBcmWo56Vz+v9nRef0TrnlrhFd6g5mCTSWIIE4uKBONndyhxQK0FJJMD6yQMiOZvik4wZXkIabHZ/0yFr7WJjBqlukwxA6sOOeSQIg+ZIANBKppBH9545Ep+Rx8zut/6gxSfbqucxODj9Vs+jsdhgutz7zYOLaMIPvnjD5//9+e//7+uJDvsvv3kHoAVTURlTjZsW1Ny8sMZ4wKrpN3/QbLDH5d9+4ITLK0ml8jEWoJpgvWZSXkVRVmh1C1jUdEAN+oYXB0sCGMbSRS2xiMXQp3tPv3vnwRMun05E+4+1WjTRN+BWv3bNzLLMlCQmJuPqa9mpSVkpjoONp6eX5+5rbF67o+EnD96RkZI4uAAZcmUABsTp1q6Ne09cN7ci3mFnGbR1E4HJKDgTJph1kNi/e8d1N31kx9YN7v6BjNyciqqpsGhqJiKU+cy4XmO0qh40Q3IApKnla8CR1F9QY9v9Ht/3ENkdoZUNkwZlnbFQ3MwbenetdC7/nd5Un3j/9zRHMgPGrFVAAKKgMvGLP/mwM7NmTE8AYwmuCWgEqSw+ADNrAIhIAgJCAwQLYwxnlZ5FMFhvP62fPoLhDJuWmqssCUlDb6WWVSLibHT2OE1f4ms56l79QsIDP6K0PJWnnY1Baow2jC/7Ea6aKMAMMaUs12G3HTx29rf/cF9CvJ3BxihHTExMOHG2o/54qzTmvSJofhIWIadXF+dnJF1w8HirpawgyxcICGVxUDH0xMSUluQwVrjKchm0uKthQbMIIQRDrYQN06pFY00LjrqGq4ceb7OUFmb7AzpBdvW5LJqoKM5UbsnxNhtDkjEPZwAZKY7M9KQNe47fvWTmX9cfnFVVePtVVcZnuRDjBj/x122aRaspy7Vqgo0PrEpdcHgjsdQUoLnp+JG6A4lJyXpALvvTH+cuvPbWO++3W21SrSxEaKZLkiWNYeRIcC0NgHR74kD+zOTTu9zb3oi/9pMwnojBh7aSXlYhJaS43nwi5Vu/tRRWYnAHSdmQwQM9gZMH2ee6+EJoeZMs+eXG4Yw+EVxPKSNM0HbDIGG1qV4kjLkYg5gsNih3ICaolZsj1ZJXPuw2lrBalUZDSzSy2rTSWv/xg3Fet/vNx621C+Pm3Kgu/YcZU8PPZUuaSBILJc3/b+k6t99fkp5+/EzX7CmFDCLoBGIIZU2yWizxjjgo4wVpLKWaflg5YBtu7mq3WyYXZ4ANN2A2Rnb1RDfuFhs2M2IMHiIzNSnRYdtdd0ZNoUHYe7Q5PSkhLTHOuEuqqCNp8XFicnG6BAhaS0e/zarVlucPaUJwu0uCBGmamJSf8e72I6fbujftPfaf37rTYsHQ815Ae7fz2eVbJxXnlhVkEoe5Os7FCEbAFygpnXTjR+4iEpn5eS89+ej8q6/vaDl9uO4ggLo9O4Um/F4vg5bcfFtmdp5hvR/bTkaM/vwp3sRc119/61jyKagpjZKyuscsfXtXwTtgKa3xHdlin3EdAEHSGD5UOIymsd1G4sKnErMOqzVkqyACB1OeEZOuDmKoj8Ekimtk0z7Z20UpmWAEejvlQI+1pBpG+mImBhNbkpM5KW1IUuMhZwRYPREGbzHbKxf4Dm/y7VvrP7o37V9ehD1hlC/q+3L5a2kQAH8g8MfXt721se6v//Xgm1vrn1yx/aNXT3HE2yU0NQEGCTCKslKLslIHf9X4EfA+5kQ1P1HReEGPaMlsPCDUXmwgIH1+v8vjl3rAGwg43d6AxWK3WW6eX/XLZ98709ZdmJPm9QWWvr23qiS7JC8TJBmaYaMzpglacNNDEAljh9eYDQr1kFaTdyLMmFzwv39e/8yK7YumldWU5QIhO82FqmDgtbV7vQGaU10QH2e9zAs7IkgmZ2TEJSRaBBGLtNQ0Ivg9HmGzxjsSmEizWjWLFhfvgBAEDRDjkmdYEnlTi905NfH1b3t3vW2fcwuBwZqaxRDBu2+tZ92rSV/4qew+5/zLI/55B6xlU9W9UHMuAuBItk9eMOzxh25/MUhtWbLuI58fHg9J1gM+eJySNLLa4xbd3r9/vd5yzJqcyroeOLHXWlQtrXGaCC4KWbVNjfnDzWtYtQyDc2+Gbfo1ns2vude+5LjmPpGaNaaPzPO5PEmrNbFkfnvL4XW7G3/8tY+UF2beNLfilfd2vb7h0KdumU2sHE9E8PkVWneHJsrCuPrD7/ipn6htPXWf1MpcbWgLgHfWnVq+sc7tcdedaDvT0dfv9KUm2j9185x7r5v++saD//bomx+5qubo6XOHT7X+7BsfS3LYQ9YJNWFnY6ubAKQm2i0WDUKyYe0MblVR8IYxVxRlWoW2ra7pke/eEx9nG9rOC+jscS7feCjJYZs7pQhjMhgyaMaseW2tZzw+n80W193ZIYRmtdumlM6aUjMLBK/babVaP3rvp4zPxDK8G2mXCoGYuyqvTj+8wrP7PduMG8liUTU0iclft9X51pOO6z+pFVdbSmpca57z7ltrKZpMFrtxU4xjMILqPv/Yxiw4ZDFQ7wg07PXsWMFel97RLAPefp9LOFLib/ysNb/aOmmG890n47paZF+3/8hOxy1fNFZtxtN6MPv4sNPmwaQOoa8IWlFVwNlrzcizL75jSK8fBy5/LU0sJSTztz5x9cKpJcxcWZT9b1++rcfpMiQ4ZJoDhOQjjTs4jGFp6NHVLVIyVgeSQxy+mJmTEu0leWlST5xUkg0IIREXr8XF2XIzkh77/idX72jYd7Q1OcH22D9/vHZSAQx3AdUUwyUoaLZHTXlu0IXTsMJy6Dappxch3m5lwt3XTptanscApE4kQiu2oWw/dKqhqX3B1JKM1ERiYzYyeghAgj5236d/88sfv/z042lZ2WveXj577qLU9ExiVm6hgPJFAYiklCL0hBxbhIQkOLOrXDk1lhMHA2carMW1xqwp4GFnX8JND9hm3gTNRkDifd+T51qCO5hD/a7ex8g3JK1wsG6gACTFJ2rZxQzSiqYY/lHxSWSxkqYl3vt3vv3rAqcOk9WWeM93rZOmUfAhzsxEIujASe8/7pzfj5kgWUtOj1t4h0jLo/HTM2D4aVw6hv1OtVeH1AZnJlLNVoPDq4Th/smGxSx4PsOL531XpIPXiqHW7TzEaSVoLGWQerCqPZGQT5LxxgBBGLZ1Jg6uiJh1IjE4Q2CAdLXxFnyy6oZZjgUDgUDgP554d92+4+se+9uQB9qwd9nr13/+1DuP/nnjI9+7NzMtCcq763Ku7AgQDCn1I4cPvPryMz2dXR+5+/7F199it9gFQQcD/OqLz2kW7c6Pfy743DJc5MYYYpYCGouU41smrfqvxAf+Le6GTweNWco4IgFh9BAA4GDnOk89w175wd8abheCoe64epdQm6IaM5O6xTqRFhw+YIzPHJIkvY8p9EIk4PzjDwJdLSnf+i3FJ9Cgs+I4cPlr6SFt1c77tOL8qYpA0NYa/E31D4Wu1vueYvArcf4JB481+CBUbwmeN/hWy3lvDraTgu6EQ9oUdBoxnhoWY2eS8PTyrfuPthw91fH7f7pbh9CCBw+t2UJ7mMTU3Na1esfRuTVFGenJxDpDjLaeoVxjNK1q6swfTJ05+CpzYOiwpkIa1UficbCNqTMLJgb1lM11JudZ9621zbtVJGUMPltY4Lwk/gRYBjsXXfDveVzUOc77GRn3d/CGG1tYRsfSQu8DjH5y/vTr/fSsOoBkj8ez+13fwY18+mjCl38q4pOUg/kY+nRfiBlcOSyCwH0D3tLc9J9/86OVZQUhZ7HQpMZY2hl9gbfXnT7Z2r1oerlglkSAmZN+EDIe5MwQ3ZNv9B7bpZ87g8E+P6ZRDeHCuPFguJ2Wwqqkr/2nrXQaM497jocxdS2KCkJhHd/6xNVgaEIbNsA3OKtXuyXyhXd252Uml+RngVntwtMHOtVMLAz3W0BoAwVTfYffcm/+q6V8OgWtWUzjrYPLwYhHUgEDdkf89Z9gaGp3zdg8u7Tp+ihhjiUXQiQZzBCa0DRNA0FFBQV/qlZtavkHEElC46mO7QeOTynOykyyS2IVZXrxDuqERamZCIIDntRCZ3a1d8My+L0gqVIiRFliYCIy3LYlEUFYDIspJNNgTOh4tc7sdhfCyknc2OwcVDIHTbAwjDECJFUI0H89uyox0VFbUaBZLVBWQZA+GkHS0YlQk24GoAXsjoH8qTrDvfK50Gp/3Lr/iCBjNyTowqSMjoZ3YNAMPH4TNFPSF2EY5HhIqgblpn3eJmVoB7Th1Lk1u48WZCVPLsrkYNyNyfkoDx/ogJDoLZ7jj09xb/kLu93GFY62x1/QRD7E/stDjbbjKStT0hcSNLEPJkAY1nKj0rkAWL7pUJ/Lu7CmNM5wRBFyyFhugmBaIGNQI/gSM3tKF+odLd6D6wG1LxJV/TC0h2L0DaLBYXn8zSdRdSkjCAYLZnT0DGzYe9xusc6fWjTeTYomOqpvhM/j27+OA35mjrKZd2RjSnpkEAAi7G1oOXL87PVzKxMT4se7SdGEN624r2BG4Pg+/czRoFeBKevwYEp6JDAAkl6vb93uRrcvcNPCanOWfVkQUduMuwLtTb5TdWAGS3OdEi5MSY8ElQSv1+l9Z1tDTUV+aqJdTIwc3eGCmd1ZFf0Zld4Nr7LXHWVr6cjGvJQjQeUI37j3ZHNr15zqQoumsTSv5GXBUkvsL5njbzqonzka7lSLExqzI14CRmYM5UAgQ5kYfvfn9YU5KeV56UTDBP2ZfAAEguCBvBqPPcm18hkEY29DwjbnPCPGlPSHY6SdBQdDfBnA+l0NB4+3Ti7OyUlP4fH0LIhKGJCkedLLPell3t3vBTqajWSvIDAb5R/McXtEmJL+cIgo6PFn7FlLyc+9vcseZ51WmW/RiKLNUyICYMF6wBbXVzqPdfaufUWq8HQYO7vB6HWTy8aU9KUwmNUKABMdOdWx4+DJgoyEquJsZtZIsKnqy4FAKj9YX8k8nyPJd2A9954LzXRUpxw+SZDJh2FetQ8nVMYhtKJ+Z9vhjj73dXMmx9utIDLVPALUfCcQn95TviTQedpXv3WIF/1gFVCTy8WU9OVAgoDWzt6Ne47FxVmunlkZTNUyzu2KOpiMjDfM3DHrPnb2+w9vZZ9H5Q8wcm+OdyOjFFPSH46qvxMM0peNzZ2HGluun12hWYSR4Ms0jl0mJCGYBYgFPHFJPRVLfEd26m2nggXrcHGqXZNLxLxwlwapKH7WpVy9syHAPL+2FEb14KF5LE0uCSZmEiqRHZHsqrg20NUWOLaPiVX+JfWucW1jtGJK+hJhIiJQQOdlq/ZOq8jPSksCgvYyU8+XCSFYfYRIk+TMLHVllPs2viKM1AJBJwCTy8eU9CXARu1gJrzw1q6uXmdtWW6C3SpY7W+Rbna+y4QhWRCYSIIgOD6tv2Cq58TBwMk6qKwCAJnp20aEedUuATJ8w3x+/5N/3ZablVJZnGOMz0bpJhamqC8HgkYsGazyOklh6S+YGUhI7//rwyylkTLXnPqMCFPSH05wa4U37jlef6p9SkluVlqiiukP5ggNbwW72EflQiCjwACD4cko96QW+A7vCJw9DtN37AowJf3hhFLSvLByt0UTC6YVa6rUpSBAlQMR5tb0ZSFVZVMMFnvXrXGdk67R/B7v5r9+WKZ3kw/CTPr74UiGAO050rz/6Jmi3JTK4hypTDtSJZwah/oVw0KG77TYu3PT//zix2C4nP0EWvbC0yD8449/UTt9nkpsOv7tHWL7Cl5I6qm4xr/5ca1hp+xuFam5w9SMNLkETEl/OIIgdbnt0KmzHX3f+cT1CNlkI4yg34ucPWfxM8veZeC1l56xWKx33P8ZAoiJWUZsxBgBsMS1zfh4Qf1yX8Mu+/yPCHOcHhHmc/DDYaCr37l+97Hs9ISpFbmXW0ZsDGEjh65RhVul2lXlXIgJNB417i4RFTLdNeUmv1/3NexirydimxrhmJK+JI6dPrdhb+O10yeJiE5fQmoSaxTJBjEJJlXuj1hAIpIT9wkJ4XOk95bM9+1dxQNdpqRHhinpD4cYr649FGe3VpfnB9N0R+qckIiIIJkhCSykLlgnMENCMhEhkmuAEAPcW7Yg0N/lP7Q5YudCEU4E3+CI4VzPwKtr99WW52SnJQIilKw/IgnVrDSq+LCR1ouCZuQIbbnaEBSAO6PMmVnpXPUcAoHxblRUYkp6eJhlULr87IodXq9vyqQ8R7w9wkssMqtMSoBRsYaHfAHIoFd65MGG0VH4ErKceVMDZxv9DbuU417wU0TwgzSSMCV9EawK0qsaEeR0+Z55c1tacsLUkhzBMlTcKWKhC7+74AkUsY1nqaI5iHpL5/ltKa53nmSWRp17EJnxlpeGKemLCFZEEWCAV25v6Oz1TCnLyUxLBpEUqvRRxAojeiEBSMFM5M4oc2eU6if3BZrqB6PRTT1fGqakLyTo/klMcHl872yp8/l9N82fDMPtUzk8mf0rzKilPymTvLB0Tbkt4B7w7nkPUoKk4WNmPkgvAVPSF6M8jBmgw8dbdzecnVFVUpiTApYhn25T0KMBCzBYABLUUzzHm5ATaNwje9opWIsjwpc8EYIp6WEhIpLSv/NIy6m2zo8srASJIds/ZscKPwwiZiLBqlNqlnPT7vCfPBRoOixhYTAgI6AsZBRgSvpCgsXi4XT7V247XJiVPKkom5jAUoJUUn5T02HHmAGptCaQDPQVzfYIm+/AetL96i3mdb8UTElfhBEzyUdPtW87eHLh1DKrRQuunyPXFzTaUb6s0vDNIwB+R1p/8RzPnvfg7DXeYWr6EjAlPQxMBNDjr21JSnBMLs0VwpzvjQPSYu8rnKW7nJ69K5WHOsxdrEvAlPRFEBjc0t791uYjpfmp+Zkp492giYsnq8KZWeJ89bfsc5l5gC8RU9IXwUyM59/ZpeuYXp6fGG8d7wZNXLwJGc6cWr2/w7tnFZtl5S8NU9LD0NnrfGPdobh425zqQjJXz+MIiZ5J10iL1b3hzwj4zUysl4Ip6YsgWrOzseVc71UzilKTEqRZzXz8ECBXRok7szrQetJ3/IA5SF8KZn+VElDhARIM8IDbu2n/cb/ff93cSgZTpMZHG36r51W2ZoKREU1AGCmAohkJSUStcz7Bfd2BgxtZ+tkI4ZAqmsN0PrkYU9JkOIuRGo75xJnOrQebpk0uzMtIDmUAjVAkiEIrAyYEq0kNZi/RxrF1V47Kz+LMrXamFfuO7pTd50LRowSwkZPQ5DwmuqTZkKzapyLJtKv+9PGWjpsXVAsSkWySIZCgwaqZRMJYapKRSYko6l1XmZhAutXSXX1roGFvoPUYQQJERoGTCL0148tElzQRMesAVFClHpAvv7e7sjArPyuFDHfuCFWFTlISWKhZhgQHVE2QUFZ7VcNrnFt5ZTAxE5ipP7/WnZji2fK6SkHBxBJMMDMODsMElzTzkIpWxHTo+Nn9ja21k/IS420c2RuhxALMJCUBIMHQmIQSMoLZ+aK9pCZJDcwak8+R1lc4y7tnld5z1kiVYO5EvA8TXNJqSaYiowmEh19YnRxvn1Kaa9EEBEX2Uo0BZkGSSDDWr1zx8M//9eTxRqGShBpjdSS3/8NhYgbrAFsTXLk1AQn3uj9Dza0Mj29T2BcywSUNwyxMAPjE2a63t9YX56VXFmYEE+5Hbg4Tw+1cl2Du7j73yC9+uG/n1oHePgYAnYPBJcQQwQrYEZ0IcXhUmLRgooGC6f6kfM+bT+o+FwfDpyP03owrpqRBEGApGc+v2MEQ82uKLVYLs3FpRKReIgEWzKSRx+V64Y+PfuHBv0PQCExSCFXu1RjNBACCUAV1owoiYg0AAgFHZm/hdNa9vh1vEUBGNdEo+zxjQIT21zGEwcwkWrv7NuxrTE+Mn1VdGPwBInlqp0bfgM67tm7Qdf32uz+hPgpIFXNloaIRBycbkqItkkxNK3SSgGBw9+TrdWi+3avYPQBjHhVVn2dMmNCSNirJEjHktgMnTpzpuHlhVUK8TageRIRIKXc1LCwJvd0d2zauvvEjd9sS4kBqxgFBBGgAgySTyukto26AhloUMRND7cu50wr782f4zzQEmo8AkgiRbewYHyZ0TSwCgSWI3B7flgNNXj9unF+ttk0EGYOAWpCOd0uHhUni7deXJSanVVTVyIDOTFLqAPbs2HJw3x4mrj+wlwT19fQC+NyXvy6FJgZnH1GA2nQXYBYWYh1A27xPJr32j/6GPdZJs3UR5Z40o8OEljRgpMpoPtu7ZufRBbVFCTZNVZHSwQRmiMitIgU619H62tLnFi2+9uVnHieWzoG+9958raC4JCUjvXRSOYPOnTktNFFaXsEAyPgskfpxhoHABNKJiXWV4dGZUe7KnmLfv9p+7X1aUjoTR6zjwHgx4SUNANh66GR798Anbp51fmHHiO4rBFistge/8b3gPII1i0hNz7RabaXlVWXlkxl0rvWsxWq9+oZblZscMUds5cphCXnjGtUGCBosPZOuSdz5TOBUvVazOKo+zRhhShoEPL18W1l+ZlFO2tARjIf8HYEwODUt/bY77mNBAKTkF59+fMFV16Wkphkbc2LIe4f+XmQ/qoZjSIOFHMit9Manezcss9Uuhplh8CImtHlMeZis2nHk8MnOqpKslIS46LIhERGIJDMkCyE+/+A38goKOfgjjkWDsM7Cl1rszJ7i3rFcdrdF090aKya2pAkBKX+3bGNygn3qpDwSIooSHijRMqu60cTMN91+V0ZWNhGxNKx60fNpLhUCdGvcQOEM3RLnevvJaDMOjAUTW9LgfQ3NOw+3FOelludnAGpHNzpgVqP04LSUSQAEySHHquiadFwSDAL3Fs7wO9K9e97Vu9qjcB0xukxwSdOyNXvdHs/1cyqtFi26ohGJSErJhps6ADBYMhMZSo7JWysJTOR3pPeXLJD9nb76reYofQExed8vlaazXbuPnMlMcUyflCdV0v3oGdaY2chGbHjMQCgxcygYKwbR1FqDZevMu3Up/HvXsts13o2KLCaQpId0c+VEwvuONjc0td+yoNpqsxAzG2UeogY+32FVnu9KFZtBDSpjC5GMS+2edJXv5H7/maNgADoHK2nH5ge/ZCaQpGlwW4oAdnv9a3YeE0JbPK1McHDjdmL3hshHCiZVthbi3NSPBXra/Ud3ggMSQlkPOKIzS40FE0jSgxlKmAnU3e9asXH/gprC+IQ4SWxk7hIT6oJEIZIAkgRA6gnZAzm1vt3vSb+XoEyF8jyD4YRkIvZglVvyL+v2ewJcMynPoqkC8RAxue0TW2hGACmIELDG9ZbO95w4oDcdUtUHCcKM45hokmZAEpHXJ//4ly1F2WkleRlQD3iGhJnMKtLRh6R2YGFxZlX4knKcbzwmDZuCpJi1DF4qE0nSKnCYNUC+s7WuuaO/qjgzM8VBLIj9LEgEe4RJxCLAEsyQYGYW7qxyd2aF5/BmPn3EqG054Z/JE0nSarOW2OeXTyzfmmSPn1dbDBIgKcnCDBnZ4dEmUEHSIEBIIpDOZOkpWwgI7+a/htQc0VkgR5+JJGkwAwTefeT0iZOdZYUpxbkZ490kkyulv2iWPzHHs39doKNZOd1M8NLyE0rSBGZd4r3tRzr6+m9dNMWiTaiPH5tIa3xX9S2BrrP+w1tlaKdyAjOx+jQRt7T3bj90KiM1aVploTnPjgWIWqffzQHdf2gzBnpBkV3zaPSZWJIGcOhE676Gsx9dNIWjLR+AybAwMzRxrvpmX+Me/dzpiS7oiSZpyfLtLYcT4q015dnahPdJiB2Yeyqu9jl7vQfXY2IvpBHDkjZS3Qbz9qrEdP0Dvr+sOzCtMi8txcFM5sIrBiBmQHiTclzZk92b/8pGBPWQfzm6K/JeLjEraQAYUt1QQALyiTe2S4mastx4qw0Uo4ENEwwmYuiBhIz+glnc3uzd8Q5UVDVBEoOiKbouLMSspIOVGEIlGai33/P4q5vys5Iri7KZBLE+0W52rEIQzHIgv8abkOV693n2e40i1KGfTyRiVtIwxmcBadRRf3f70c6+gSklWWlJ8QhVtzOJcggsIUHkTi8byJ4UaNrvP76XwQi6jsoJNhuLWUkzS2MtJQggX8C/dOUuQXTtrMmaEMRSclTFRpu8D8rjm1iyZuubdC0HfN7t7xLApLMxVzNH6ZiASITuJDN2HW5uPNMzp7ooPztFdQItqtISmbwfBHWjNUB2ly3wJWYEGncFzh4nQ8sTzjs0ZiWtEvoyCOCArm/cd+xcZ/c9104PPtZVJoQYtIXyYDIyo8T0YAhxbNoOlLlEMoFA7bM+5W8/pR/bD8mh/awJJevYlTQFw3IYnX3OjfubygoziwuUUzdLgGJxBzNYbZYYGqkilsHHVrCKZaz1bqPWtNRVSprusqu81gRv3Sb2uNSPEXuf+QOJXUlzcFua6NiZzi17G6+bU2n0dxJEZOg6hiCAWKqStLru11nqOlhSQNel1KUavxGMLI4ZWDBYkgUgDWBrXF/JAt/+dQFXD6Crd4xvA8eYmC2gwzDy4QL07PLt+dmpZbmpar9SFWE2UpCNdzvDiJEmlPi95X/ZsOotAK1nW4iwY8t6AF/+xt+VTa4VgwlFYwViAV2SptIIkkY9pfPTG9b6N/zFcs831TuCd3tCQFFWRPyyYGbiU2e7lvzNbxdMK/3MbXPjLRaApSF1EMdcxDwP2Y0HLXvxGYvVctf9DyD0jOMYe44F7yKrJzgYZHV1lqz5TYrrbMZPX6e4ZMOEEGM3+v2J3Yk3ABCxeOHtPRJUU5Znt1pYEIvg7JtiTs/KFMYgMuyCgqWmEvcQiEjEYhIfYiIWho8YQUipx6c7c6fqfR2+XasIYJITKllNTEua0Ov0/PGNbdmpcTMq8gQks7GAJgiKRddfNmplGXNNKYSkoF3MyJUYc0WkGCwYpDyKIEmTxH0lM6Ut0b12KesBwWJCJRmMZUkzePmGg16Pf/aUsvg4q4QAQCohEaSM1c/OEirk0BCxkb18SCHLmOrfbNQXEcaDiiRArsyK/pzKQNsJ35HtEy3iLka7NcCMrl7X29uOSMjr51TE1sBk8qFw5/R74er37VvLAW+sTUw+kJiVNAj1J9sONLYsrC1NT06cYE/qiQ4TDWTXONOL/cf2yo6WWHQpel9iVtKBQGDzvhPtHb23X1OjJmPj3SKTMUUKdEy5LXDmqL+5YULd/JiVtNPte2dbfVVpdnZqkqp8NoHmXhMeYhBxb8kCT3y6d+c7HPCPd4vGjpiV9LaDTXUn2+bXllitVgbxRNrGmOgwMRMkpD2hp3Seb99avefseLdp7IgRSQ+pyirBzJBPvL45MzWhtCCLiAWbip5IEAsAgmCxOfNneIXNs/YVw2luAgTUxoikCcxGjIZgwoGjZ9ftbqwqzC7KSrEAksBiIi2nJjzSKBcOV2a5J73Qu36ZdPYSmI3aZ7HmFDuUGJE0gjUWCEzMz76506pZplbkWqyaBAZrS5tMDAgQAAOB+LT+gjl+V5dn59vB6DuhOkqsEjuSNmA61tK9bk9jSmLcrOoi5dEtJniVpIkIqTqkDNk9aTE0m3fr69IzAAj15I/hbN8xIulgnikw5Po9x9q7XDfOq46zkgqiZCEoVj6pyaXAkCAB6ETCl5TTXXFVoP20fmwvINVQHcPTthjp6GTEHnF3n3vDnkaN5JK5kwABFcPALCeUt8GEh0DCiKFlgM/V3C2d/b76HfAHADBJc5SOdIK5K/hEa9eOw6cX1JYkxsep2xa0g8TsU9nkYoLu7EZ5eVdmSV9Ote/wJtl7jgFCLFdliBFJA2DWwWLtjobOnoHr51fhwpijmH0qmwzLBUbtrsnX+08c8p0+QohxV8JYkTQTkeYNBF5bX1dTlpuRHD/eDTKJLDyZFa6MUs/q543tj9g1mMaKpIkZvGZHw7Hmc9Mq8+Pj7ePdIJPIwpeY0Z8/1X9kh97cqLK0jXeLRotYkTRAoIdfWJWZ4qgszLTEZnZbk5HDmt2ZP8OvJQy8+biMvTwQQ4gdSW890LSrvq0kN628MDN2Z1UmI0QK0Z9b7U9MDex6V/Z2xPByOjolzRd+qwfkK2v2aMSLZ5RjwhS7+sBeaUaInw8HpD2xq/J6PeDxbnodwBDzWUx1l+iUtAEb1YMJJ852bTvYlJOeNHVSHmJ4z/E8SCXbknqgs+1sy+lTQr10Xr3GiXElLgEBAtAz6Rq/Nd5/aJPs7ZTBixOMu40RYUdnHm/lQUAqeZ5gYOfhU02tvR+/bprdZiHJLGLmBr0vBDCoveXME//73w2H9+sSVVNqv/K33ysoLVcJ1pTvzXg3M2JgYqJAQkZ35fX20zsCpw7Zpi0x8i+yGtiUB3jUPwSjdZQmAsHI39vb71y386iF5E2LpzCzjOnc5EPQBfPzf/hficD/PPHSEy/8RVgsy156xu1yMrOqmzNBLsSlIIXK+M0dU+8IOLv9R/ey3xsM4QtV2Yl6PSN6JY0hk6VTrb0b9h2/ZmaFBSAIEcUf6jJgaEyonTH/01/8RnpmTkJi8k0fufNsy2mPyykgBISM1bJ2I4IYxMyEQGJ2X+Ecz+53dHc/q3meUeMyRlyGo7f3D+5DvL21weOTc6YUq82JCZKSiCBBdNtd91ZOrlU5fRvqDhUWl8Y5EkIXxxykQ4QGYhZaT9nCQPvpwOFtTBx7E5nolbRgNoI1Xnhra0VBem5mCogYzBAxWWX2ApiIJEgIJjCw5r0Vm9a8c8vH7olzOKRUjswQHL33N8wIQKU41wmurAp3SoFn1XPKZma4jsbKtYpO8xhglM0gWvre7nM9rhvmV6Uk2CRDEBFLGROLog+GjDmJ7O/t/cvS57ZvWv/Qv/60omoqQPt2bj60bzeAwwf3akLr7ekC6HNf/luIGOm1I4CDFlUm+JLzXNlVjrp3Ak2HLCU1YAKpYMxYIBolrWZKgsBOj+/p5dtSEuNqyvOZiMCQamUUu/5+QdRmlcvpfOX5J5wDzh//1/9mZ+cCYEZefpGmWRjo6e7RNDFj9gIGMxHFXLHOy0D1DyICWLP2Fs9NO7be+dYTKX/zsNr6Y2KKiZEgGiU9uOG641BT3YnW2VUl+RlJKi4aBDmBKo/y8mUvdnV1ffEbD2VmprOqhgXKLSjMzS8C4diROovFOn32fIBBgpgn0sU5DyZpFEITAiwHCqb7EvMsjXv9Z45aCicTUcxEaEWjpAFIgpCMd7ce9rgD182ZpAmClKDYjoQ9HyYQv/ri08nJab/+9+8TpGSkZ2Z98Zvfy8zOU7ZuqWy5FPKpkNFsPbkiiAQzMxFxQIPGlrjO6hsdO572H9pgKZgMY4d6vFsZDqJT0swgHD/dvv1Qc2lhVlVJDgMEKSA4uC8Re5bMCyEmxjf/4UcEKcHEAGlxcfbExGShyi0rg0+wbiUIDAqWYZ54MAkji6zKMCk7K6/J3b00UL+LF92F5IzYmHUjOiXNIE1n3tNwtqG5/ct3LFK3Qt0yoRZEHCOTqA+B+Nobbx06k2YwQMJIbEtD0gCoRckEmsRcAKsi2wy1QUAgtiV1Tr7BdmxtoOW4LTkjaGeI+m4TfdMw5cHtcfuXbzyQnhxXW5bHKt8vAyqBsxqiJgAMEXK4Gaw0y6wb2uaQhkPJmiamnhUMksEnGgMsRGfVTX6f27d/bTBlfyx0m+iTNAHMsr1nYM2OxllVJQnxAjL2d6EvmWGn1fw+X09oiHW/I3Ugb7p3z3vs9wCIjYsTfZIGmEg8tmyT3W6ZNilX06yhauEmJpeOJCFt8f1Fs/wdrf4D62Jj1o3olDS6e93L1uwrzE4tzE4j5pjx+zEZS4hBEP3Z1Z7krIG//C5mhoUoFAPTi+/t6vd4p1XkpSbESULM+P2YjCXE0AnezFJXdo2/5Yj/wKbxblF4iD4xDHi8r63en2y3zJ5SLAUJQEh9vBtlEn2w4cRAXZXXQ1i82/4KPRY6UhRImof8D/D6PY2n27qnVxbmZSST8rePhRWQydhjZNJw5VY5M0t9x/brrSdg7B1EcZ6TyJe0Ei2rmEmfT9+873h3n/PWRVMYUu02TpAtK5MwwyRUzTRNa5vxCdlx1ntkGwcHCLWlH42ajnxJG0VmiUCQTW2dG/eenDKpoDQvVeWTYsMV38Tk8mAKSJYEEkz9pQt8cYm+Qxu5rwuSjaw5hsNDlBHpklaVQ1VtK4Y40Nh6rPncktllDItglaZiAvh+mowCBAESEszETOiouV0/ulc/d5oFEZjBRFHp7xDpkiaoS64cwnjpe/tyMlInF+UAkiGJiEw9m4wI4qCbKDMx9RbOckly732PQgXyOCqDdCNd0kbVUAKIz3T0r9/VMLU8OyXRIQkQxEwsTFWbjAzVbaQksIAnOdeZW+1d92flWAwjujz61nSRLmlBACSBCOKXT69MiLdNmZRvs6rscKQSPLK5lja5fHQiTVWilgIAbInO3FrpcjnXvMCsgcFROEQj8iWtYvcBbm7rfm3t/vzs1PKCdMkqoSPHjBOfydhDgK62rIiZIQl9RbN8Sdnelc/A029YcKLQ5h3xkg5uOv9l7QGP1z+zsiDZETe+LTKJVbzJuX0F07mj2XtwAwyza/QNGBEvaQCQfU7vym2NGnjxjPLoe2yaRAkE6qi6Xtd1z+6V7PdHqaNxxDeaGExbD5xobGm/bl5VSnJc9D02TaIEJvJmVTqzpuinj+pnj0ZptoiIlzTI4/Nv3Heid8DzsatqBnMdmJiEGwIzUeucj8u2k76je2V0xuFHvKQZHb0Da3cfrS3Nzs1IktBM90+TUYOI4c6tdqYV+/atgXtgvNszEiJL0gxVn43VNwCYsL+xrf5k+8KpxZIEQTfH6A+GVSESY1tVAhIgIhIcO7l4RgmVychvsfeVLvTXb9fbm4f+TIKNvyKbyJI0GZv7xGCQVLnf/vDq5uK81LKCLJUtMLJaHHEwE+kkghmLhLG1D9JJME3czPyXAoEhQZq1L6/WY0twb1zKwSprDAgQQUS+E0QECkR5bhODiGl3/entdSenlOZkpCUKIjY9xT4MMrqmVGkVVZ5Q5SIV6Z1xvGGwADFLd3qxJ6vCu3WF7OkAQEZkEAfVHdFEnqQZwcgqAvD4X7bY7NaZlYU2i8Y8UapSjhgCEYNI+clCY9aYicGCVH2hmMlWPTqQFGCW0p7QVzTb7/d61r8CJjayrFJU1KCOLEkrVx4AYJ0gm9p7Vu1szE5NrCrJIWaABbRIv6LjjSS4XQNNxxqbTjR2dp3r6DzXdKKx6Vijx+0yh+kPRTCT0Ahaf9Ec3Z7i2bFCunoBI9d0VFTkiKzU/MFCL8oJFMvX73c6PR+/fqbVIhiCoEtz9vhhEKG9teWd15cBaDxySAjh9XgAfOy+TxYUl5mznA/AEK2UTORNyu4rmhV3aqu/bot93m1G0FbkCzrSJB2sfiMB0dbZt2HPiXibNr+2BEwESBJkhEibDI8ydxeXVX7tu/8M4LUXn7JYbHd8/AFjgGGWQORPHccLBgTAwlgvt8+4J6f+Xf/BjbbpS8geZ5Qeingn0ciaeJMKx4AA48jJ9v2NZ65fWB0XpzGpck5BX3qTDyBUWcMoFDPkJXOI/lAMv24mCH9yXm/JPE/j7kB7EyQMN6eI74CRJWkEZesP6Bv3n3S6fUtmlgOhYkaqU0b8RTWJZpgAEEHqAu3Vt+ntpwInDhi7q9EQbxlZkmZV753h8vpfX39gRlVBamJ8cKBRJb+jNMebSRQgQFDLPoABjdmdVe5KK/XseJN1naNkwyCyJB2c8/C7W+tPt/dMr8y3WCzBJjLJiF/HmEQzEsxEgllt90kIf1xKf8lcf/1W/WyjIeeIX71ElqSVXnWWv39tS352cnlBlkoQGlxBU+RfUJOohphlMC8oQUDT+vJqvHHp7jceYxkdKTciS9IAAFq7+9j+hjOTC7Ny0xM1kIRRVpVJiGjYRTCJXliVpSUBBlhnZk9GuS+1yLV3lexqNkpURzaRJmn2B+SzK3ZYbWJeTbEQQg6pe8Bm1VmTUYaVSzwzQ+2ckm5P6C6dT3rAs+mvUWHHiThJH2lqO9DYmpOWWFWSK8xptsm4w9RdeQ1Y8x5Yy/3dkd8jI0vSUtKqnUdaO3vuumamJmTkR72YxD5E0p50dvodsq3Zd3irKenL41zPwJb9J1OTHLNrCmTE2yFMJgQkmblz2p2+QCDQsJO8nvFu0IcQWZJuPN2543DzDbMrrDZNFTEZ7xaZTHiYAAokpHWXzPfWbZE97ePdoA8hsiS9eke97vfPmlIABsygK5OIQHmNcX/ZVb620/7j+8a7PR/CeEt6SOHoAZf3pff2TK8qTEtOgJG0yBylTcYdBiAFudILPdkVrtUvsB4Ivq4qLEZWLx1vSRNUGhMGvbRyV2+/t7YsJ8FuM142l9MmkQARMwIJGX0F0/1NdYETB9jIjqfK1UZWLx1vSQMAiMjr9f/ulY0ZaY7JJdlGWV+maPCoNYl5JDELZtas/QUzAtZE14rHVQQRQaisUBHFOEqaQ5NrZqzbffx0e3d5fmZBZqrGDCOvjonJOMPQAMGCSEpn9mRPaqH7yGbZejI42shIi84aR0lTMCOo9Pl9y1bvkRI3zqtgEJNgVbJ7/BpnYhIk6LJIApq9s+o68no821awWkcj4uaS4zrxNhYkou5E+/7GlsmlueUFmQAYrME0jplEBAShppNMzJC9pQt98eneI9v17laVTTnS+ul4TrzVjEXqctvhpqa2znuuniqEUFlVgyGrl4HKCzX079GAiEbj4KN02FFitC/CKB0cI+oeqkNyMKpStznOTb9XnjwYOL4/7I0MC+M58VbXtWfAtWH38fSUhBmVhVdyLGZJZOwqhJ1QVxiN44/SYUcVNgp6jMphR+PgxnaT0UnklRy+u2KBl8l/ZCt7PRx54ZaXIelR6HYEcGNzx5Z9J66bNZlp5HFWxqZCsIVhb2qwQ4xKhwsdHKM5v7hyQqPo0AaH8eChyxv2gw89T/D4Iz+Ebk/vLZ3r27tOd3aPxt26ws9+GZIOf29jMHjpyj02m1Zbln8lM4ZQ00ZJEaHPPkq9ebTXC2GBmUOPs1EbRY0LO0qXIiz9hIStt2Ser7/Lv2eVyogXlrYNHv/KPvsHyWhoxx2FpyaDuH/A++c1+8sLM3MzEgUHRn4sI82gegaH37I2ql0tJJWhmolAQkP06K0ULnh0hhUmsDRyXV1RHSaG7s6scGVWOlf8PhiGMFr9DZd/KT5I0qHr29/fP4JmfRjk9fmfe3OnHtBrSnISHFYJa1gOSwxXf5jLiKpL4ff7vV5veI+s6OvrC30dsevqoQ0bnS4Br9fr9/sxCo9O94AzXLn1JZEvIcuVXRHoPTew/V2fPxD25TQzDwwYffhy23wpk11+9NFHvZ4r7sqMwS0+MMAH6uqfWbElNSF+5uRCVV+D6Ar+AKFUos8/+egVHer8P1C9mXD4wJ7tm9aqE4Xx4AAee+TnoW3OKzyU2s4PXZLg1+orMlxwR3yK4ED9x9/+d+iQ4boOBGzdsLqh7gAoZFkI258/v/CUUbiTQFfe0wT1lszTrfEdbzzRUFcXnBcOfRaP+LnMDPT19T355JMX/YD9fr/H8yHRnZciadqyeas/ELjSseO8Zw0xqKHF3drlml6dn5meqHIGMo/8DzGDIZiIsWf7xis51AV/ABYAMbefbTl9onFoDcNwHBwEbF23clCBLEd8KMBQ3aB2DR0r0RhP/JFeYV0dUjBt37RaNTe81+HU8aMdbWeJWYDUgzRcf/bv2ioYwkj+eUWHIgazcGVVuzNK4rtPZfq7JAWHEw6NXCMetwnMHo97x44doZdCK7JDhw7deeed3/72t5cvX97d3Y3h5nSWoVO+i5AAMRCwiFaXM+FK2smQxIIZECAJpoAu19U3ecAzagt6fG4iEZCgERm9SQ1NLIk0IVmS5KTkLp97pG0dBsFgwoAm3DZbh89Dhi9reNAgKDW9y+OCAEgQ6yNO/0DBHJYMBoRTCItGHT4PIAkU/NEIEZBMFrCEBCWn9fi8OsKWDE41z2O39wvq8nmIIcM6mZWJSZ0+l4CQgph1ULBMzgiaapRxokDVRwu3/N7RdJCr5kmSZBh0VCcf6eYWA8A5l9vP6OvtA4HBFDTUd3d319XVrVy58re//a3D4ViyZMmdd955ww03ZGRkJCQkxMXFAaAf//jH79t0BpMA5PLevqaifAGbHOk+E0FJmhgESAFiSDYmMqEpi7hCMwODBHRJQpPh7BAMCECCg+0T4U0+rKaZyixGgE4QV3Z0w9IGUhZHSRYCCyJ5Za2WBI2DhXmYicJZToYACSJIMkookQzrClUwdIKAlNCuMHqAiUkSCEwQHKppafxATYlopAUZDeujz1124OBHKyouuAZnzpxZunSpGoZD1srU1NQ777zzc5/73E033QTAcv/993/A8dX/W375n3//xc/H2R0jzngaHDeC9kzJb287suy9XddXJT7wibvUQYUqbn5lqKv7/X/8/n/+6j+v8FAXH3b9+vUdHZ333ntvuCWNL3zpS08/9RQpdY+8IxtzYaUKAla8ucJisdx6y608+Lw03jPCE7CyP/LXv/6N3z/2aHgvAoNeeeXP+fn5ixcvDvvW0E/+/Sc//vcfh+uwDFazzX2vv1zesj3u5s/Zy2eFgrKIAL6iztzT1fWXA4fuv+/jQ0dpIjpw4MDy5cv7+vqIKCUlZe7cuQsWLJg/f35hYWFhoeGpZZk6deqHnsAx4PpYeUViUuIVPjWVkYlAbq//+ac2BRqaSgsK766qUsuQMDyTg54mPz5x7J6qqis+3OBh1SDas3lzi9TvmTw5zAZOhjx4wGjwlV8H5bsoCIzjb66wCXHP5CoQgrOiKz44AMLfHjl8tzpsGGHsDwQqbLZ7qqrUzDaMx3+k+fQ9k4NdIkw9TQInunpmt9SVdNQl3/ZJFkwQ6g6O+Daq3fm2trOriaZOM7QZWjC7XK7MzMwbb7zxrrvuuuaaa5KTk202m6ZpQ63iH1SMlo25t0xLT73SpPgcstgAjJNnzu2sP33ttKLsjCRi4zkkr8g9VTVW1RfUMrOyr6SxF0JGnb2EhPjERAdDUngdaYnzcvOMnkBspJK+HPx+f2trq9vtTkhIyMnOtlisbETnq+NLI1r1yh4YDGXsIAbl5OSMfLn4vseXiYkOhyMeCP/mfHpGFhMDEkxGJMZIG88wlosEICnzpD0vZ9tbiff9IyUkBRclwW2Hy8ewCWnW1NTU0PlCV2P+/PkHDhwY6rxwsSPDB0na2AyB+O53v6tW3ldG8FIQ//61LdmpSd/4/HVTitNhrApY8JU8lZV911DaL37x8ytu7cUnoGuuWeL1ekNnCeOx//CHPwT3cS67L3u93j/96U/Lli1LT0/3eDz33HPPZz7zGWOnhtVSSQQ72BXphAD11CXgt//72/c7GjPI2IUiGJULh6y5jG4w3PFJ3Hvv/Q6HI+zbvAB++MN/JRCgDW7tjRQaIup7P/UZ26E8evt37k2vJNzyRYCCvXjkFm8BpKSkfOMb3wid78J3vL+ejVc/ACnlsF9fLtL4n1lyc3tP0R0/+uK/P9/v9EgpmSWzlCyD7xjhua6keRHF5X6Qbdu2LVq06M033zx27NjTTz89derU1tZW9aNf//rX//u//zvWDVM3VerMwbvLzCyZdfXvxUcZ43t3Jb1LSilZZ8ksdfVioP1U50/u6/i7q3SvUwY/criad3FTPR7Pz372s3/+539uampi5lWrVj300ENvvPFGIBBQb/gQh9Chz4CwzIUY/Pxb23W/ft2cyoR4e8izMPRgU9+P4FxDIwpGg9CRw34KdcDQYS/9s6tf2b59e1lZ2c0331xeXv6FL3whPj4+5KUQ3qZemqM7G8MUCVZb4hy6uWqbQ15sYx3qYTp6dxAj7V1DhUBEBAECSBAxs65lFdkqZgV6O3x71xofPbg/PTIuEN0FF8Rut3u93ocffvi5557bunXrPffcs3Xr1jlz5miapt5wSQ6huOILTcYqF+d6Bt7d1pCekvyRq2uCsTfn+6CM9MEx4mfBJR586E0N78FHHLlJRB6P59SpU5WVlUIYt7K6unrv3r1Djxxe+EMiN4gYrJwtlPABZgm1JGRBJIY16Q91IA97my84y8h+a/DusOFqFHxOwX7VXbDaPJv+wj4PMRvLjStgaE+42O/9O9/5Tm5u7rPPPvvggw9OmTJl6dKleXl5ofd/0Fp62BOMFOPDr99zrKml64t3zM9MVa4rFNADhw4e2rp1ixCWq65aXFNTM7L7OqpdobGx8ejRo6Fva2trS0pKRuNEl/vZpZRerzctLS30SlxcXFdX1yg0Dbi0nsDKAgPdGZCNnd3n3K78hPjKjCyLRqHF9QX4fL5Dhw6dPXs29Mq1116bmJgY3sZfIaH7cqThSHdP16yZs+y2OCJisCeloEk6Ck8ePvn2KxU33uVISBRXvHXxAT0hIyPjoYceeuihhyZNmvTkk0+Gtq8UlyTpMKiFSRK3tnW88ubG3p7+q6vT1Xa9IH3H1u1f+9uvz50zSw/Q44///je/+c2iRYuu9HTh5ve///3KlSsLCgrUt9/4xjdGSdIjmBPi/BF+VCexl9I89R6XT//B2tV7WzvyExMaunu+OK32wVmzHVYx7CG6u7t/9rOftbW1JSUlqVemT58eOZIeqq6lS5f+4z/805y5sx599NGc7FwwO53O733/+85DfY9U86sP/3hg7a5fP/xrKJfWkXLBRbpgBnr8+PHHHnsMQHd3d25u7gXiD5vxdtjeM7joIgD44le//fbm/Z5zRzX2gtQ6Xvv5L3/xifs//ofH//jss0/fcMMNS5cu/VDH9LGnv7//7rvvfjPIHXfcgXESzAXEx8eXlpY2NDSoxgQCgcOHD994440feMDgUo/VrBh+XfdLOfTDeAN6YLDyLwd3YYc50tB/oN7GzOAXDx2uO9f12Edufeneu35z603PHarb13520AHvfHRd7+/v/9nPfha6wheMPONL6Cm5dOnS55577l//7V96e/ukZGX7Xrdu3YF9B3771iataNI1ufHLnvpDfX09h89VVjUgNPlva2v7/Oc/73a7f/nLXzocjl/84hcX9MOwSfoDnitEBIYATVt8ixaf6m3dR2x84O7u7l27dl133XUWiwXAnXfeuX///o6ODoyCYN6PSzmR1WrNy8vr6Og4e/asiv7DKE/1LxEhxNSpUxsbG/ft2xcIBNasWdPZ2XnzzTd/0O8MOjYRQXr0wF8aGjacOh368em+nv/csvVIRwcQ9DhjDN9VKOh6MhiLJEAE1h/ft++a4qKajExATM3MnpWVs/FUS9B4JDH4SAEAKWVGRkZiYmJLS0tHR4eu61d4WcKOUvXChQtffPHF/Pz80OtSyn379s2YOSM1OTn+2k/OTLVWJmvPPPXMKOx0gpnPnj373e9+t729/YknnvjqV7+6YMGCZ555ZmiABy5x4j0CLt46Y2DPaXdxetwJ4Q1t9B87dsxut2dnZ6u3ORwOXddVTPKYCeZSTtTY2FhfX//aa695vd6FCxd+61vfumAYGW27zgewYMGCRYsWPfjgg2VlZe3t7Q888MC0adM++FeIBnMAEHCwo9PtbbmupFg9gf9v1551J09/ffZM5bgMgMDnnK7Oi2ZPBLCkstRkm9VCkMZuLaNtwNvW31eTmcnEBEq0WcrSU3ecbRnye+cZ2DweT3Nz83/8x390d3fHxcV99KMf/cpXvuJwOMJyfcIFERUXF1/wos/na29vLyosJJBt8hxvavbthWc3Hz8W9rOrDma32z/zmc98+9vfXrx4MYAf/vCHn/70p4daUhAuSavzvfHGG7/73e+GvgIgOTn5H/7hH+bOm7f90MnDx1rvuaq0f28CkUW9x+/3CyFCHm3qbyklxlAkUsqWlpYf/vCHra2tF5idb7311u9+97sACgsLk5OT/+7v/g7Al7/85V/+8pe//OUvhy72xnHETk5O/ulPf/qd73ynrq6uoqKiqKgIH3z11J6S4f8k4iyiNDnpxUOnVcKPradPrzh67NHbb81KSICyXwMADnd07RzU5JCDCfp0TU2uNREQIYtQq9NJGhKtVuWXYRFaotV6zuUEg2kY+5jNZsvPz1+wYMGDDz64bdu2hx56yGaz/c3f/E14LtCVccE6dmj3UPvAuq5rmmAiS26Zdcq8z5w9sXcgEF7HutBJ09PTP/axj4UaM2PGjBkzZlwwzQyPpNU57rjjjtAi84JRWpf8uz9vzM1IWFhbuloTrEv1W/Hx8bqu+3w+9WZd15XCEZzqjLZUmFkIUVhY+NRTT33A6f7whz+EfvTDH/7whz/8YU9Pj5L0OI7PIaxWa35+fsh6hw9+xBhuXQh6iHJ+YoLT7w+wlH799aPH5uXnXF1UAEN/QoIF4dqSwmtLioY5GCvZB33CVIiBsVgnw5tKTcmHRI1cQFFR0UsvvaSu5E033fTpT3/61VdfjRBJ05AMh6E1behHRGS1Wr1eP0kmW5x18nzr9rc+n5cQXmfZD9hAvbj7jcrE+2IHlSNNbSu3Hblu7uTZ1QWA4VMH5ilTpsTFxR05cqSmpgbAsWPHMjIykpOTh23r2DR12PNu3LixoqIitPsX2gTGuI7PQxlmpfN+NgICggtqpeqilBRBONHd2+NxHek895Ml13HQNZXAyoVyb1trfcfFe2MM0C3lZWnxcRRyBQUy4uOYyR3wAyCGDvYEAqnx8UwMIyjzvIs2MDBw8ODBadOmhSY+IceJSOAD9uHtdntFRcXatWtV5Kkzt9ppT50daJEDnSIpI7zNuLhnDnuLRyWPd2hLPviFfHnlbr+UNbnWpuNHPR5vw9Eje3fv6erqstvtH/nIR1588cXW1tbW1tY//vGPixcvVg7r4yWVYc/7+OOP/+pXv+rq6urp6XnqqacqKytTUlLGvm2Xwoe6xIQW0QSSIBByExJT7PE7mptfOHRoVl7O5PQ0Gow7MA6Sn5g0Iyf7oj85M3KyHVar4TVluIlRQVJiUnx8U1+vMoc5fb6mnp4pGRmGg+BFDevs7PzFL37xzDPPADh48OBbb711yy23hPWqXClqgt3U1LRnz57jx4/39/cfPHhw7969RDRv3ryTJ0/+eelSn9//53dXv7TvFPd1+A5tMq70MJsCI+TiG3rBrGGwraOD4XEqmc+0d9/y7d9l3fj3iSkZiYmJiYlJ6u/nn3+emVtbW2+77TaHw+FwOL7whS+0t7dHoLf2rl27amtr4+PjHQ7HTTfdVF9fP94tuiSG9fEOOSvzoO+9/PLyN7/+5ptLnn7+yLkOZpYyMPKzSimZ/2PDxk/++dXmvl6frh/uaFv87LPvHj/BbDh+n/9eDgQCzzzzTH5+vsPhSE5O/pu/+Zve3t6RNyDcqEb29PQ8+OCDieej3vD0k08mJaU4HEkV5RV/ff7Js1+q6vnfb0ifh1mXyqt9OM/2UWIU6zxw0Nl1+ca67/3PX75y5/x//sJNahnHzKDBEEK/33/q1CkiKi8v5whYmg6L0+lsbm4OBAI1NTUXz3Ijk4cffthms33rW986/2W1tKUhyT3okW3bf7ll079edfV35s5V7rsjnb8Za+Y2l+ehd99JsNuq09M3NbfMyMn+ztw5afHxoV2vi+nu7j5z5kxSUtIoufFcCTxkOTPsHR9wDpxqOp1fkJeSktL3u4cCpw4lf/VX1kkzwVBxw2GORH1/RmcTy0jEACa43P71e44J8Bc+tpCDmxwX7NpZrdZJkybxENNiBEolISGhKoxpFcYPw/NarZTBAAd07vb45uTmfXbq1FA2wpGi5uCc5Yj75Q3X72lr6/F4vjF71rz83NS4OMMdNPRIOZ+0tLQL9mMiDT6/3MqQHssJDkdNTbXSrePWL3f/6rO+o3utpTWs2cIcXf9hjI6kjX1oAsvOHufbW+o+cvXUrNR4IGgZlRfG+V+g4UjT81CGNnVszPLhhsh4tDKBAsAbjUdXNDa8fM+96Soq/ooHFGYSJItSkotTknnQq1uFUNMH5Cvhi/ZKrqgd4SN0o4cfrpmIiAFiBklLQYW1dKbv4Or4a+8lhwUsABDrEGNh8xst8xgZ906s3lnfO+C6ZeFkTbMwA2pLIJgvLzTtH9Y6Pxptu0Iu7meR0+0uEQKzKnROckdr232vLPufHTv+7aqrytNTWe0/jTAT3tBTgCHUxoYK4FUbWCqdSOjgoVs87L2OnAvLF7hCArigeaSeVpIJgMZ2W/yC2/2HdwROHCAISZLB+mXnqhkho7OJpXI8gnwB/akVO6ZVFEwpzQGzIFIPtNCs6wNuW+Tc0aFEZqsuEyKAmYhEdnz8J6dU12Zl1mRmkbEgGtywHtHBjd1nUrmn1BKLiQbTcQ0e/GJ5RObl/YBWBR/x6vOJ4LrSopXWWrKK3auetdZcRSQIuKIwjsthlGb56rZh495jR5raF04rKcxOC16XK1yqmYQFY8gpSU3+zNSpM3JyrZoWktWQv0dyZOMPQT3WQwej894TIwxRe/C6EQiw5Fdq5VN9h7YGztQbK5zw5Cb9cEZn4s3qvuI3S9ekJSXeMr/aosXOXTQx+VDIHhc39VpJwr3hVeUKf8WrmUtlVCStZiH7GprrTnRWl2TMmlwYSw9mE5NLgKwzrrek5gb2rOKOMyAaK0WP1sSbpS7f2lzf7/R+7qPzbdbRivcyMYlYREJi3ILb9YFub90WGox/Gf3zjsZBGXS2s2/Lwaa8zKSPLJ4yGqcwMYl0mOJv/izr0l+3UTp7hsmiODqMzsSbceh46/6Gpq/dvdhutbERqWNiMpEgiMR0+/zbvcf36e3NY2bxDsuUeGhqC4Dh0/U1OxuSEhNuWVgd/BzmWnrsOHv27KZNmwDs37/fYrG88sorAK699trs7LAWITH5UBjxS+737njLV7/FWlprBKBy0No0OpoIyyitovVgxMeCevs9yzcc+thVNXkZiWNnvDcJOkX4/f6enp6enh632+12u9XXgUBgvFs30WBJ0LKLbJNmereuYJZBp0q1pzdasgjHKH2+Jz4Rv7bugMcvr5pZHme3whygxxC1TVpUVPTggw8yc19fn81me/DBBxGp3ngxDEMIAImp1unXO5f9yn9ovW3aEkCEHOxHaZwOxygdrKegkkh6fIHfvLRqcnHGtIo85fg6ZjtyJopQIo6QN3JE+UtPDNhI7yastsqZlJbnfOtpqKSrxvKUR2n+Gq6J9+A04r3tDe097qumlRXnpGEwDNwcIsYUFRyvsrgNHyhvMpowSEmWQZbCKntJTaBua6DpMMDBooM0SvPXsEg6lLiB/P7An97ZGWez3nfjDCMHrEpNY86+xwMhhCnmcUH5xKrKoWSNs86+CQLuLa+fL4TIHaWD1YFA+xpb6k+eu2pqaVVpjhFQRwhl7TYZY9SUe7xbMTFhMIPABBDHz/8oHIm+hm16WxMAyUOyeIWbcE28VSS9XL2z4Vxn3zfuv4rUCnuw1q7ZsUwmFKEgcajJtuOOb6O9xX90B7MUpCOSJ97KEMOMc90D2w6dqirNuWZ2JQNgwxhgqtlkAjKYDoqJAcc197HN7qvbxu4BhmakRh4FwiBpAsCSiA82nt1xsOlLdyw0Xg9mIyJzLW0y4Qht8xj1lsmRZJ91o//wNu7rUBllrrBg7fsRjlGaVNUrsWzdvpyMlPm1RQSpyi4xR1xxIxOTsYNUTKWx7WNfeIfu6vXuXk0gjvRRGnS2s2/l1iPXzCzLz0wCVCgZExHIqBhuYjKRUN4ag5u7DNayiqxVc9ybXoHPRRgtv8pwjNIAQ/7xr1sIuGZmeaIjXvmwUvD4o1HFz8QkwjEMw0YWHyKClpppr5onzzX79q8Hk0ozGHbCMUozunvdf3xjS3FO2jUzJw2piGiun00mOuflHBQW+9QlIiXT+c6TUHvWo0B4HELf2nLY5QlcN7cyIzUB5jTbxOR90IqnWMqm6meO+hp2c8Sax/qc3ne2HrYK7VM3zyQyp9kmJsOj5uDx136KvV7f7vcQ8I3GWcIgv4PHzh463nrj/MrJJTnmZNvE5INgWKvmWYqqfY279I5h6nVfOVcq6YCub95/7GRr9799+aawNMjEJFZRPqJstcXf8tlAc33gdP1onGVkkh5c1vf0e9bsbFxcU16cn6W2oqXpLWZiMiwMIhaMuJk3W1KzfftWsc8d9pOMQNIcCvgEcKDxzIFjrXdeV2sTRsiPMBVtYjIcpLxACWSLs8280XdgU6DnHHhIISHIK4+GuFxJq5FYnZsAfubN3XmZyfNriiio5YsLgpuYmMAo20kAwaLZahdDsH/rCgaT4UkmwXTlZvDLlTSBKBjDzU1nOlZs3LegtnhSSXYw7sTUs4nJ8Kg6eARAkqWw2lJQ7VrzvNQDDAFIlZbsyvVz2RNvNmrBCwb++PqOhPi4a2dVJtqtIT8ZM32gicmwcDAMGQSRmm2tuYr7e9xrXyIGIJhEWLRz2ZI2nMKIz7T1vL21Li89+fq5k4KJiGj0ArtNTGIEJkkAwT5jCdkT/NvfZJ8rjB7fIxillXGM1u451trdf+c10zJSEoL1QXhobkETE5OhEIiYmFgwgUnLn2SZfnWg9ZjvyA4CE4Uni+sILN4EoNfpXrWjgZm+cs+CIbVGQ2lMTMaIxsbGBx98cMqUKSUlJQ8++GBdXZ2ZmSiiIYRsZEQi4frPSrfTd3iL1HVmCYgrH6tHMPFmMI6eOnegoeVj19RmpyVdaRNMroDvf//7AwMDzz///JtvvimlfOSRR/r7+8e7USaXirVytrV8VqB+B7efUpHIVz4kXv7EmyGZN+0/2dY98OCdC8ykYqPHBePt0G/V18z87W9/+//9v/83e/bs2traT37ykydOnBgYGPjQQ5lECEwyYcnHA2eOBpobAQ5LaNblj9JEvoD/jU2HZk8pLM/PNJ26R48LdjSGfquS7xPRddddV1lZqX60Zs2a6urq1NRUDNGw+lEoWb9JhCG0yXMpp9Cz9VXlpXXlN+lyC+gwQDvrW+oaW/79a7cmJ8SNXrUuEwB+v//IkSNer3foi8ycnp5eXl6uVE1Evb29r7766vbt23/1q185HA6Xy9Xa2gqgs7PTarUeP34cQF5eXnx8/Ph8DJP3g1lLSrdPucq9fqne1yGSM69cTJcnaZXw0G4Tn//o/IVTyzVBo1bZxwQA/H7/qVOnLl4ee73e8vJyNQK3tLT893//d3Nz8y9+8Ys5c+YAaG5ufuGFFwDs3LlT0zT1K5///OfLy8vHtvkmHwIRwR5vn3U9iNjdj+QM9fIVHXME8zFmHnD74mxWq8UMjR5PmLmnp+df/uVf4uLivv/97+fm5qrXvV5vd3c3gN///vdWq/XLX/4ygPT0dJvNNp7NNXkfOOCDrpM9PHOokVSuJKIkhz0spzcZMWrW/Yc//KG1tfU3v/lNQkLCwMAAEcXFxdlsNiXvpKSk0NcmEQtZbOEp9A4gTCXjTcYBZfF69tln8/Pzf/7znwNg5szMzG9/+9s5OTnj3TqTccOUdBRDRI888sjQV+Lj4xMTE8erPSaRgCnp6Obmm28OfW0WkTZBuCpXmowLF5g2TT2bwJR0VGNq2ORiTEmbmMQUpqRNTGIKU9ImJjGFKWkTk5ji/wejZTeVQOjkkQAAAABJRU5ErkJggg== | Find the volume of the solid under the graph of the function $f(x,y) = x + y$ and above the region in the figure: | The volume is $\frac{1000}{3}$ |
9ad6ffe7-b508-4a68-9746-b30a1eb37427 | algebra | false | null | Solve the following equations:
1. $7x - 2 = 26$
2. $2m - 6 = 48$
3. $-6h - 6 = 30$
4. $5x + 20 = -20$
5. $3 = -3y - 15$
6. $-24 = 14y - 5$
7. $7r - 5 = 10$
8. $9 = 16y + 51$ | The solutions to the given equations are:
1. $x=4$
2. $m=27$
3. $h=-6$
4. $x=-8$
5. $y=-6$
6. $y=-\frac{ 19 }{ 14 }$
7. $r=\frac{ 15 }{ 7 }$
8. $y=-\frac{ 21 }{ 8 }$ |
9b223ba9-d2ef-43b3-b327-5fe1cc4d71cf | differential_calc | true | 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 | Points $P(1,2)$ and $Q(x,y)$ are on the graph of the function $f(x) = x^2 + 1$.
Complete the table given with the appropriate values: $y$-coordinate of $Q$, the point $Q(x,y)$, and the slope of the secant line passing through points $P$ and $Q$.
Round your answer to eight significant digits. | 1. $2.2100000$
2. $2.0201000$
3. $2.0020010$
4. $2.0002000$
5. $P(1.1000000,2.2100000)$
6. $P(1.0100000,2.0201000)$
7. $P(1.0010000,2.0020010)$
8. $P(1.0001000,2.0002000)$
9. $2.1000000$
10. $2.0100000$
11. $2.0010000$
12. $2.0001000$ |
9b30cb7b-3677-4677-bd52-04410925addd | algebra | true | 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 | Using the given graphs of $f(x)$ and $g(x)$, find $g\left(f(2)\right)$. | The final answer:
$g\left(f(2)\right)$ = $1$ |
9b35551a-cba8-4bcc-9480-5a42a0921862 | multivariable_calculus | false | null | Determine the concavity of the curve $x = 2 \cdot t + \ln(t)$, $y = 2 \cdot t - \ln(t)$. | * Concave up on $(0,\infty)$, $\left(-\infty,-\frac{1}{2}\right)$
* Concave down on $\left(-\frac{1}{2},0\right)$ |
9b74b1d5-1e5a-4f0c-afe1-4b379bb3383a | integral_calc | true | 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 | Graph of $h$
The rate, in calories per minute, at which a person using a treadmill burns calories is modeled by the function $h$. In the figure above, $h$ is a piecewise linear function for $0 < t < 15$. Find the total number of calories burned over the time interval $1 < t < 8$ minutes. | $90$ calories |
9b7dd008-7121-4165-8981-5241de31a306 | algebra | false | null | Evaluate the function at the indicated values $f(-3)$, $f(2)$, $f(-a)$, $-f(a)$, and $f(a+h)$.
$f(x) = |x-1| - |x+1|$ | 1. $f(-3)$ = $2$
2. $f(2)$ = $-2$
3. $f(-a)$ = $|a+1|-|-a+1|$
4. $-f(a)$ = $-|a-1|+|a+1|$
5. $f(a+h)$ = $|a+h-1|-|a+h+1|$ |
9bb35eb9-1b58-4bda-9328-697780d41d06 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ \sin(x)^4 }{ \cos(x) } \, dx
$$ | $\int \frac{ \sin(x)^4 }{ \cos(x) } \, dx$ = $C-\frac{1}{2}\cdot\ln\left(\left|\frac{1-\sin(x)}{1+\sin(x)}\right|\right)-\frac{1}{3}\cdot\left(\sin(x)\right)^3-\sin(x)$ |
9bbfb3e6-1518-49da-9362-54b35a8e9b43 | algebra | false | null | An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, $P$, who contracted the flu $t$ days after it broke out is given by the model $P = t^2 - 12t + 180$, where $1 \leq t \leq 6$. Find the day that $160$ students had the flu. Recall that the restriction on $t$ is at most $6$. | The final answer: $2$ |
9bd7e667-4ab8-4346-aabd-178767bb551f | algebra | false | null | Use the Factor Theorem to find all real zeros of the polynomial $p(x) = 2 \cdot x^3 - 9 \cdot x^2 + 13 \cdot x - 6$ given that $x - 1$ is a factor of $p(x)$. | The real zeros are $1$, $2$, $\frac{3}{2}$ |
9be8491c-923a-4adc-899b-ed3c3b0485b1 | sequences_series | false | null | Find the Fourier expansion of this function: $f(x) = x$ at $(-\pi, \pi)$. | The Fourier series is: $f(x)=2\cdot\sum_{n=1}^\infty\left(\frac{(-1)^{n+1}}{n}\cdot\sin(n\cdot x)\right)$ |
9bf423b8-0584-45dc-b9be-6b8bb164db1a | precalculus_review | true | 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 | An airplane’s Mach number $M$ is the ratio of its speed to the speed of sound. When a plane is flying at a constant altitude, then its Mach angle $\mu$ is given by $\mu = 2 \cdot \arcsin\left(\frac{ 1 }{ M }\right)$. Find the Mach angles for the following Mach numbers:
1. $M = 1.4$
2. $M = 2.8$
3. $M = 4.3$ | The final answer:
1. $1.59120591$
2. $0.73041444$
3. $0.46941423$ |
9bf4712b-f771-49a7-83db-83dc5bfb7e9e | precalculus_review | false | null | Find the inverse of the function $f(x) = \log_{a}\left(x + \sqrt{x^2 + 1}\right)$, where $a > 1$. | The final answer: $\frac{a^{2\cdot x}-1}{2\cdot a^x}$ |
9c0e52a1-793c-4275-8a28-d01b30eff9b1 | sequences_series | false | null | Write the Taylor series for the function $f(x) = -2 \cdot x \cdot \sin(x)$ at the point $x = \pi$ up to the third term (zero or non-zero). | The final answer: $2\cdot\pi\cdot(x-\pi)+2\cdot(x-\pi)^2$ |
9c3bf63f-7426-4378-a6ee-f7b9ea9bdb8a | algebra | true | 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 | Estimate the point(s) at which the graph of $f$ has a local maximum or a local minimum.
If there is no such point, enter $\text{None}$. | The final answer:
1. Local maximum: $P(-3,60)$
2. Local minimum: $P(3,-60)$ |
9c48f455-8024-45e0-870e-602e81e4e354 | algebra | false | null | Find the solution to the following inequality and express it in interval notation:
$$-4 (x-6) (x+3) (x-2) > 0$$ | The solution set to the inequality is: $\left(-\infty,\ -3\right)\cup\left(2,\ 6\right)$ |
9c4de167-dcee-4c36-89c9-67f7605b80bb | sequences_series | false | null | Find the power series representation for the function $f(x) = \frac{ 8 \cdot x + 2 }{ 2 \cdot x^2 - 3 \cdot x + 1 }$. Determine the radius of convergence and the interval of convergence for that series. | 1. The series : $\sum_{n=0}^\infty\left(12\cdot(2\cdot x)^n-10\cdot x^n\right)$
2. $R$ = $\frac{1}{2}$
3. $I$ = $\left(-\frac{1}{2},\frac{1}{2}\right)$ |
9c507021-c58a-42b0-8d29-b64581ccf10d | algebra | false | null | Note that $a^3-b^3=(a-b) \cdot \left(a^2+a \cdot b+b^2\right)$. Using this factorization principle, factor the cubic polynomial $64 \cdot x^3-125$. | The final answer: $(4\cdot x-5)\cdot\left(16\cdot x^2+20\cdot x+25\right)$ |
9c556de9-bdf2-462c-8dc0-6cf0959801ca | precalculus_review | false | null | Solve $0 < \left| \frac{ 5 \cdot x - 6 }{ 7 } \right| < 3$. | The final answer: $\left(-3,\frac{6}{5}\right)\cup\left(\frac{6}{5},\frac{27}{5}\right)$ |
9cbda184-22e0-4bbb-8cea-2bef344182c9 | integral_calc | true | 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 | Find the length of the closed curve: $\rho = 3 \cdot \sin\left(\frac{ \varphi }{ 4 }\right)^4$ | Length: $16$ |
9cd15f2c-a2cf-4676-899d-27b26fc7b204 | differential_calc | true | 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 | Use the graph of the function $y = h(x)$ shown here to find $\lim_{x \to 0}\left(h(x)\right)$, if possible. Estimate when necessary. | $\lim_{x \to 0}\left(h(x)\right)$ = $0$ |
9cd9783b-4c5a-4e81-9fd3-f7385db901e0 | multivariable_calculus | false | null | Evaluate the integral $\int \int \int f(x,y,z) \, dx \, dy \, dz$ over the solid $f(x,y,z) = x^2 + y^2$, $0 \le x^2 + y^2 \le 4$, $y \ge 0$, $0 \le z \le 3 - x$. | $\int \int \int f(x,y,z) \, dx \, dy \, dz$ = $12\cdot\pi$ |
9d3ed2a6-10b4-4f2c-aa2f-d8594e0a03c2 | integral_calc | true | 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 | Find the areas enclosed by the curves $y^2 = 3 \cdot x$ and $y^2 = 6 \cdot x - x^2$ using integration with respect to $x$:
1. The area of the smaller, shaded region.
2. The area of the larger, yellow region. | 1. The area of the smaller, shaded region is $\frac{9\cdot\pi}{2}-12$
2. The area of the larger, yellow region is $\frac{9\cdot\pi}{2}+12$ |
9d41eb87-a330-43fe-aee1-0df3a2bc995f | precalculus_review | false | null | Find zeros of the absolute function $f(x) = \left| x^2 - 4 \right| + |x| + 2 \cdot x - 2$. | The final answer: $x_1=-3$, $x_2=-1$ |