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592ed5f2-ba58-4094-ae40-57d78056e804 | differential_calc | false | null | Sketch the curve:
$$
y = \frac{ x^3 }{ 5 \cdot (x+2)^2 }
$$
Provide the following:
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): $(-1\cdot\infty,-2)\cup(-2,\infty)$
2. Vertical asymptotes: $x=-2$
3. Horizontal asymptotes: None
4. Slant asymptotes: $y=\frac{x}{5}-\frac{4}{5}$
5. Intervals where the function is increasing: $(-\infty,-6)$, $(-2,0)$, $(0,\infty)$
6. Intervals where the function is decreasing: $(-6,-2)$
7. Intervals where the function is concave up: $(-\infty,-6)$, $(-2,0)$, $(0,\infty)$
8. Intervals where the function is concave down: $(-\infty,-2)$, $(-2,0)$
9. Points of inflection: $P(0,0)$ |
59685710-67d1-4c31-ae2d-1177a32f16bd | differential_calc | false | null | Sketch the curve:
$y = 5 \cdot x^2 - 2 \cdot x^4 - 3$
Submit as your final answer:
1. The domain (in interval notation)
2. Vertical asymptotes (Leave blank if there are no vertical asymptotes)
3. Horizontal asymptotes (Leave blank if there are no horizontal asymptotes)
4. Slant asymptotes (Leave blank if there are no slant asymptotes)
5. Intervals where the function is increasing (Leave blank if there are no such intervals)
6. Intervals where the function is decreasing (Leave blank if there are no such intervals)
7. Intervals where the function is concave up (Leave blank if there are no such intervals)
8. Intervals where the function is concave down (Leave blank if there are no such intervals)
9. Points of inflection (Leave blank if there are no 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: $\left(0,\frac{\sqrt{5}}{2}\right)$, $\left(-\infty,-\frac{\sqrt{5}}{2}\right)$
6. Intervals where the function is decreasing: $\left(-\frac{\sqrt{5}}{2},0\right)$, $\left(\frac{\sqrt{5}}{2},\infty\right)$
7. Intervals where the function is concave up: $\left(-\frac{\sqrt{5}}{2\cdot\sqrt{3}},\frac{\sqrt{5}}{2\cdot\sqrt{3}}\right)$
8. Intervals where the function is concave down: $\left(-\infty,-\frac{\sqrt{5}}{2\cdot\sqrt{3}}\right)$, $\left(\frac{\sqrt{5}}{2\cdot\sqrt{3}},\infty\right)$
9. Points of inflection: $P\left(\frac{\sqrt{5}}{2\cdot\sqrt{3}},-\frac{91}{72}\right)$, $P\left(-\frac{\sqrt{5}}{2\cdot\sqrt{3}},-\frac{91}{72}\right)$ |
59a56679-d33b-4d05-8931-d23bf94bac14 | integral_calc | false | null | The velocity of a bullet from a rifle can be approximated by $v(t) = 6400 \cdot t^2 - 6505 \cdot t + 2686$ where $t$ is seconds after the shot and $v$ is the velocity measured in feet per second. This equation only models the velocity for the first half-second after the shot: $0 \le t \le 0.5$. What is the total distance the bullet travels in $0.5$ sec? | The total distance is: $796.54166667$ |
59b0822d-ad82-45a7-a9c0-aaf87e74534c | integral_calc | false | null | Solve the integral:
$$
\int -16 \cdot \sin(-3 \cdot x)^4 \cdot \cos(-3 \cdot x)^2 \, dx
$$ | $\int -16 \cdot \sin(-3 \cdot x)^4 \cdot \cos(-3 \cdot x)^2 \, dx$ = $-x+\frac{\sin(12\cdot x)}{12}+\frac{\sin(6\cdot x)}{12}-\frac{\sin(18\cdot x)}{36}+C$ |
59b526a5-7bc0-4b9f-ba17-4c66b6214b30 | precalculus_review | false | null | Which equations have a common zero?
1. $x^2-11 \cdot x+28=0$
2. $x^2-5 \cdot x-84=0$
3. $x^2-11 \cdot x+30=0$
4. $x^2-14 \cdot x+49=0$ | The final answer: $x^2-11\cdot x+28=0 \land x^2-14\cdot x+49=0$ |
59fa34d0-c00a-4a33-8290-f19aee1c458c | multivariable_calculus | false | null | Find the gradient of the function $f(x,y) = \frac{ \sqrt{x} + y^2 }{ x \cdot y }$. | $\nabla f(x,y)$ = $\left\langle\frac{1}{2\cdot x\cdot y\cdot\sqrt{x}}-\frac{\sqrt{x}+y^2}{y\cdot x^2},\frac{2}{x}-\frac{\sqrt{x}+y^2}{x\cdot y^2}\right\rangle$ |
5a0dece2-d699-4427-bab6-500d06750213 | sequences_series | false | null | Find the Fourier series of the periodic function $f(x) = \frac{ x^2 }{ 2 }$ in the interval $-2 \cdot \pi \le x < 2 \cdot \pi$ if $f(x) = f(x + 4 \cdot \pi)$. | The Fourier series is: $\frac{2\cdot\pi^2}{3}+\sum_{n=1}^\infty\left(\frac{8\cdot(-1)^n}{n^2}\cdot\cos\left(\frac{n\cdot x}{2}\right)\right)$ |
5a655b20-28b1-46be-9cdf-2c37ea9ff252 | integral_calc | false | null | Solve the integral:
$$
\int \sqrt{\frac{ 4 \cdot \sin(4 \cdot x) }{ 9 \cdot \cos(4 \cdot x)^9 }} \, dx
$$ | $\int \sqrt{\frac{ 4 \cdot \sin(4 \cdot x) }{ 9 \cdot \cos(4 \cdot x)^9 }} \, dx$ = $C+\frac{1}{9}\cdot\left(\tan(4\cdot x)\right)^{\frac{3}{2}}+\frac{1}{21}\cdot\left(\tan(4\cdot x)\right)^{\frac{7}{2}}$ |
5a8bb6a1-8496-4d5d-8662-e751b6df6339 | multivariable_calculus | false | null | Use the method of Lagrange multipliers to find the maximum and minimum values of the function $f(x,y,z) = x^2 + y^2 + z^2$ subject to the constraint $x \cdot y \cdot z = 4$. | Minimum: $6\cdot\sqrt[3]{2}$
Maximum: None |
5a9aa7d4-53f9-4e57-a13a-78001e1c3908 | sequences_series | false | null | Find the Fourier series of the function $\varphi(x) = 2 \cdot x$ in the interval $(0, 4 \cdot \pi)$. | The Fourier series is: $4\cdot\pi-8\cdot\sum_{n=1}^\infty\left(\frac{\sin\left(\frac{n\cdot x}{2}\right)}{n}\right)$ |
5ae51755-5e9f-4084-a568-044ca413b4e8 | algebra | true | 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 | Find the slope of the line graphed: | The final answer: $-\frac{5}{4}$ |
5ba7658c-7761-4d8c-8b36-495732a2732d | integral_calc | false | null | Solve the integral:
$$
\int 2 \cdot \cot(14 \cdot x)^6 \, dx
$$ | $\int 2 \cdot \cot(14 \cdot x)^6 \, dx$ = $C-\frac{1}{7}\cdot\left(\frac{1}{5}\cdot\left(\cot(14\cdot x)\right)^5+\cot(14\cdot x)-\frac{1}{3}\cdot\left(\cot(14\cdot x)\right)^3-\arctan\left(\cot(14\cdot x)\right)\right)$ |
5bd25e22-ae72-4e7d-b526-af88e4214542 | integral_calc | false | null | Compute the integral:
$$
\int \frac{ 1 }{ 2 \cdot \sin\left(\frac{ x }{ 2 }\right)^6 } \, dx
$$ | $\int \frac{ 1 }{ 2 \cdot \sin\left(\frac{ x }{ 2 }\right)^6 } \, dx$ = $C-\frac{1}{5}\cdot\left(\cot\left(\frac{x}{2}\right)\right)^5-\frac{2}{3}\cdot\left(\cot\left(\frac{x}{2}\right)\right)^3-\cot\left(\frac{x}{2}\right)$ |
5be9b46e-ff5c-4541-8760-070e946c1791 | algebra | false | null | Divide rational expressions and simplify it:
$$
\frac{ x^2-1 }{ 2 } \div \frac{ x-1 }{ 5 }
$$ | The final answer: $\frac{5}{2}\cdot x+\frac{5}{2}$ |
5c0972a3-bf3f-4283-858b-291d0ec05d29 | integral_calc | true | 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 | Let $R$ and $S$ be the regions in the first quadrant shown in the figure above. The region $R$ is bounded above by the $y$-axis and the graphs of $y=\tan(x)$ and $y=3-x$. The region $S$ is bounded by the $x$-axis and the graphs of $y=\tan(x)$ and $y=3-x$.
1. Write, but do not evaluate, an integral expression that gives the volume of the solid generated when $R$ is revolved about the $x$-axis.
2. Write, but do not evaluate, an integral expression that gives the volume of the solid generated when $S$ is revolved about the $y$-axis. | 1. $V$ = $\pi\cdot\int_0^a\left((3-x)^2-\left(\tan(x)\right)^2\right)dx$
2. $V$ = $\pi\cdot\int_0^b\left((3-y)^2-\left(\arctan(y)\right)^2\right)dy$ |
5c71f23e-54e6-42e7-9885-fa95f24ba31b | precalculus_review | false | null | Using the table above, estimate the logarithm.
1. $\ln(16)$
2. $\ln\left(3^4\right)$
3. $\ln(2.5)$
4. $\ln\left(\sqrt{630}\right)$
5. $\ln(0.4)$
Estimate the values using the table provided. | 1. $\ln(16)$≈ $2.78$
2. $\ln\left(3^4\right)$≈ $4.4$
3. $\ln(2.5)$≈ $0.92$
4. $\ln\left(\sqrt{630}\right)$≈ $3.225$
5. $\ln(0.4)$≈ $-0.92$ |
5cb50bf1-4fba-4f9e-addb-670f57499bba | precalculus_review | false | null | Which expression is equivalent to $\left(\frac{ 1 }{ \sin(x) }+\frac{ 1 }{ \tan(x) }\right)^2$? | The final answer: $T=\frac{1+\cos(x)}{1-\cos(x)}$ |
5d17f8a8-9af0-4b8e-bd06-745728009986 | algebra | true | 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 | Use the graph to write the formula for a polynomial function of least degree. | The final answer: $f(x)=\frac{1}{2}\cdot(x+2)\cdot(x-1)\cdot(x-3)$ |
5d216ea8-1451-4963-a04a-80e5f673fd43 | integral_calc | false | null | Compute the integral:
$$
\int \sin\left(\frac{ x }{ 2 }\right)^6 \cdot \cos\left(\frac{ x }{ 2 }\right)^2 \, dx
$$ | $\int \sin\left(\frac{ x }{ 2 }\right)^6 \cdot \cos\left(\frac{ x }{ 2 }\right)^2 \, dx$ = $\frac{\sin\left(\frac{x}{2}\right)^7\cdot\cos\left(\frac{x}{2}\right)}{4}+\frac{1}{8}\cdot\left(-\frac{1}{3}\cdot\sin\left(\frac{x}{2}\right)^5\cdot\cos\left(\frac{x}{2}\right)-\frac{5}{12}\cdot\sin\left(\frac{x}{2}\right)^3\cdot\cos\left(\frac{x}{2}\right)-\frac{5}{8}\cdot\sin\left(\frac{x}{2}\right)\cdot\cos\left(\frac{x}{2}\right)+\frac{5}{16}\cdot x\right)+C$ |
5d2dd0b4-0c6e-4b86-bedf-5136e6541392 | precalculus_review | false | null | Find all values of $t$ that satisfy the following equation:
$$
3^{t^2} = \frac{ 1 }{ 3^t } \cdot 27^{-(1+t)}
$$ | $t$ = $-3$, $-1$ |
5db683f0-f16c-40eb-9d74-5b4eeb8da1f0 | algebra | false | null | Use synthetic division to find the quotient and remainder. Ensure the equation is in the form required by synthetic division:
$$
\frac{ x^3-21 \cdot x^2+147 \cdot x-343 }{ x-7 }
$$
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: $x^2-14\cdot x+49$ Remainder: $0$ |
5e0fca6c-a20d-4a5c-bab2-e2ee9121e589 | integral_calc | false | null | Compute the integral:
$$
3 \cdot \int \frac{ \cos(2 \cdot x)^4 }{ \sin(2 \cdot x) } \, dx
$$ | $3 \cdot \int \frac{ \cos(2 \cdot x)^4 }{ \sin(2 \cdot x) } \, dx$ = $\frac{3}{2}\cdot\left(C+\frac{1}{3}\cdot\left(\cos(2\cdot x)\right)^3+\cos(2\cdot x)-\frac{1}{2}\cdot\ln\left(\frac{\left|1+\cos(2\cdot x)\right|}{\left|\cos(2\cdot x)-1\right|}\right)\right)$ |
5e2062d8-aedb-4907-86a4-72ba608bb5eb | precalculus_review | false | null | Calculate the sum $S=\cos(a)+\cos(2 \cdot a)+\cos(3 \cdot a) + \ldots + \cos(n \cdot a)$, where $a \ne 2 \cdot \pi \cdot k$ for integers $k$. | The final answer: $S=\frac{\sin\left(\frac{n\cdot a}{2}\right)\cdot\cos\left(\frac{(n+1)\cdot a}{2}\right)}{\sin\left(\frac{a}{2}\right)}$ |
5e3ca8d7-3d5a-4a86-a6ba-0fae9301f584 | differential_calc | false | null | Find $\left(\left(f(a)\right)^{-1}\right)'$ for the function $f(x) = x + \sqrt{x}$ at $a = 2$. | $\left(\left(f(a)\right)^{-1}\right)'$ = $\frac{2}{3}$ |
5eccb470-c198-4287-b80a-0ec45388c1d3 | sequences_series | false | null | Find the 3rd order Taylor polynomial $P_{3}(x)$ of $f(x) = \sqrt[3]{2 \cdot x + 1}$ about $a = 0$. | The final answer: $1+\frac{2}{3}\cdot x-\frac{4}{9}\cdot x^2+\frac{40}{81}\cdot x^3$ |
5edcfb39-ae07-4781-b43b-7c648518a3ee | differential_calc | false | null | Find asymptotes of $y = \frac{ 3 \cdot x }{ 2 } \cdot \ln\left(e-\frac{ 1 }{ 3 \cdot x }\right)$. Submit as your final answer:
1. the equation(s) of horizontal asymptotes
2. the equation(s) of vertical asymptotes
3. the equation(s) of slant asymptotes | 1. Horizontal Asymptote(s): None
2. Vertical Asymptote(s): $x=\frac{1}{3\cdot e}$
3. Slant Asymptote(s): $y=\frac{3\cdot x}{2}-\frac{1}{2\cdot e}$ |
5eebe4a7-75d3-4e52-913a-54badf5c3c51 | sequences_series | false | null | Using the series expansion for the function $(1+x)^m$, calculate approximately $\sqrt[3]{29}$ with an accuracy of 0.0001. | The final answer: $3.0722$ |
5ef63adb-67ec-433f-9448-1ea9de25ceeb | multivariable_calculus | true | 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 | Use the transformation $y-x=u$, $x+y=v$ to evaluate the integral on the square $R$ determined by the lines $y=x$, $y=-x+2$, $y=x+2$, and $y=-x$ shown in the following figure:
$$
\int\int_{R} \sin(x-y) \, dA
$$ | $I$ = $\cos(2)-1$ |
5f3e685b-fb16-4ed7-92b3-0cc904da61c6 | sequences_series | false | null | Find the Taylor series for $f(x) = \frac{ x }{ (2+x)^3 }$, centered at $x=-1$. Write out the sum of the first four non-zero terms, followed by dots. | The final answer: $x\cdot\left(1-3\cdot(x+1)+6\cdot(x+1)^2-10\cdot(x+1)^3+\cdots\right)$ |
5f9fc356-2813-445a-9081-10ae9c1969c3 | sequences_series | false | null | Write the Taylor series for the function $f(x) = x \cdot \cos(2 \cdot x)$ at the point $x = \frac{ \pi }{ 2 }$ up to the third term (zero or non-zero). | The final answer: $-\frac{\pi}{2}-\left(x-\frac{\pi}{2}\right)+\pi\cdot\left(x-\frac{\pi}{2}\right)^2$ |
5ff7c384-fb2a-4566-98b7-4976d8fcea39 | sequences_series | false | null | Find the sum of the series $\sum_{n=1}^\infty \frac{ x^{\frac{ n }{ 2 }+1} }{ \frac{ n }{ 2 }+1 }$. (Use differentiation of the series) | The sum of the series is $-x-2\cdot\sqrt{x}-2\cdot\ln\left(\left|\sqrt{x}-1\right|\right)$ |
60291c17-4868-4b90-9588-a7554af40ee2 | precalculus_review | false | null | Consider the function $f(x) = \frac{ 1 }{ 2 } \cdot x^5 + 2 \cdot x$. Let $g$ denote the inverse of $f$. Find the derivative $g'(2.5)$ using the theorem $g'(c) = \frac{ 1 }{ f'\left(g(c)\right) }$. | $g'(2.5)$ = $\frac{2}{9}$ |
60a8d80f-c925-47de-9ef0-b9fed3fc658a | sequences_series | false | null | Compute $\int_{0}^{\frac{ 1 }{ 3 }} e^{-\frac{ x^2 }{ 3 }} \, dx$ with accuracy $0.00001$. | The final answer: $0.32926$ |
61355bbe-39e3-4766-afc8-de6800a5c7a3 | multivariable_calculus | true | 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W7GPw7hsyjfZ7EPE9oGAW3uPto+vINB7ccOJOeW9ilWeKInq07tUyoFxWiVilk/yARMr8lZ/qvOJBPdzlxAwCwoMRy4ETWqm1HV206rGCsRXLsqF4tRvdqpVEp+fohlBzZF1Lj/fHJX5CUAggAYmG2efGrzr1/6vtP0g6ZpjAFV+vMa1E7kOBOO1Ty6WNifpbp7td17QcAoKxy+6mlwOkuIqBC9o+CzAc4V2iZ89Evf20/YXW5bmhe7+4xN/Rqn6xVqxjKTCtOwC2nk9TujVQM/xUH/MAEAYmBZ38TAaLLJRSVWt5fsumr1btEARKiAl+YPmhA52Y8WMET6lEO9gD4q8ORQMr9JyIgRFb87r3u/es1Q6cZRt4HShUAIQhYbS6/WtQORCDkip/z6DbLd3OpMMcwaY6mw0BUafw8oc3LGy4CMKfLfTwtd9Gfe7/6ZWegUdOmUfy0kV37d2pUnoVEBDxZWQoJcYaZnyoI/isOvMK1UK6aMW5vc3fsyczz36zcsX7vqfTzJZ2bJtw75oY2jWLDAk2EBESI7AKj3A9BbkAlAVHxectXT9uOb9f3ud04YhbqjHC5wje+Qy0bCyIgAyIA17HtlgUvksNiGPOwptMwVCj8080mQ/IZCIJw6FT26q1HV2w4UGpx9m6XPLhb017tkgONOrlKCXJ3guQ1v9DE8M8b9F9xAFAuErwDr/wXcpCCAFLSsn/ZdHT5hkPZ50t6tEse2aN5v05NTAYtltPG/fHJg3xiuPPSrUvfcuz+Xd9/on7oPSwgBAAJRNmGqK7J12KtRATJ84sIoG7a1TT9VfOXT1l+eBVUGm2HgReG1yVFu1YsCE/g1+Mt5LMuKLF+8MOmX7cey8ovHNil2Z1DO7VuGBNg1JYnYshfvIKE5UG0Gr6Lfws8Jd/lf4P3D6TvmyRGJ8dHDL2x2c8bDn+yfOvm/SdvaJk869YbO7VI5B4HuQQT/xNecaZWQAAy1Vpa3CiW5pctecN+YK1x6D36wVNRH8A/ihesn2qBX7VdER2phyyfPy5mnTHNnK9pPwAZye+J5HSVWpHrko8XkBCYSOByuTfsO3nfGz+VmO0JkSHP3zVwSPdmIB1QUsGyurvd/Vs7uBrwPBFui0GJ1fHCZ38t+XO3zSVMGNz+kTv6RIeZFMB4EjBICVJQK+tKIuuCCCQQKhCQHK6Sj+93HtyoGzLZdPNjNTwhv6qkjJr6rWDcbMvCF8wLnge3U9NhICoVXEvg3HSobvF4KXjkEIk7pax2+66jmR/9tPnv3afbNIyZdUvLycM6GPRa8NLhCMGrIOB11DSIECRLjQAw0KCdN3PIsB5NP1+x7bctR7YfTJt2U9cBXRrHRQTLiwpqR1kj9DAvAVUIIOSftSx+1XVkk67fHYaB0+SAVc3NyL/EAQFoWtzIJr9SumCO5ae3iEh3wwiUFfRa0Q6ovMoUO56e98WKrX/uOI6AT905cET3JvViQxhj8sRkfY9EAFaH1YM6DkQSyzNHEQBUKkXvdsmtGkRtOZD29a/b53755y+bjozp22ZUr5Z6jUrOhqwFxZPnZwABgSgWZFl/eM25b612wET94LvQECgCsJotMuxX4kAy0VWN2gVMnWf+/H9lC+cyjV7dvr9UVa02gkPcV1XmcH39y/bPVmzNKy4bcWPzB8b2SE4IVzIFyeRa2ashqX/+66r6D4AIGKKHriTrCRgSYBjevXmnFom/bDz8wud/HjxxdtO+U7MnD4iPCq4VWQCIQAKigkAEp92y+FX7gb8NQ6caht6LGp3sNKtR7cCvFFoEIBEIiCmTmhrueBYDI0s/mOnY8Su5nciz/Gp8Tk63eDLz/NQXF837Zo1A7N2Hbnrn0dGN60UpGK/+JhIQiMQkrVNixcrUieuocXAPDycWECEwAIbAGPCmdBgVYpo2qvOubx7q1jr59+3Hhz362Y9r9pdaHTXvRCPZaUFWs/mjh5yHNhj632kYNhM1OijnJ9borPxIO+A8P57NjoCaJp3wjtnmBS9aFs8jt0vbeSgqlV4i/AIvf1UuK4thORbo9c+zecU/rtv/5bIdhDBpWJcZY26IDg2QPiYnGjGQhIAUT0QE+LeVcqlLQK+c8ItfA8mmH4sMNX3y1C3LNxz++ted97665OberSYP79KhWYJScVHoyudaQ/mA/HwT8tIsP75hP7LZ0PcO/eC7UK3lH+M06xrWWfxIHFzYKAIBQN2sq/Hu16xfPmX96W1UqjWdh6KH6s8zUSTCWWUeWbkgKY9kkyfpAAG2Hjwzf/HGLQdSOzRLeOj2Hu2aJpi06iu4MutiMOH48ePp6eldu3Y1mUx+StS7dmCF3wJc4Icm1GqUt/Vv06Fp/C+bDn3809YDJ85OGNpp6oguWo2UIOS1QrgdW8W88vKMJHnNMSo6b1n6tnP/et2gSfpB05gx+DIzryH4VaDxUhAAudKPl3zykJCXGXjPO9oO/YFQRGIS4aRKASKS3xASty4Zr05AAO/8sOn1r/9kSsWTd/abPqqrSqkEAhEFBlB7MWrfwLu2WqtWrbRa7TfffNO0aVPPBzyBxrpfhe2yEAAUIBIBAhOJ9hzPfOy9lUfP5LVpGPXV0+NjIgMQUCrVJbF/wNPWqpIg4CVayvVbEkrenenc/7du+EzTqPuAsVr3OPmV7+BSIBFTJTYJGP+sMiLe/MUTtm0ryeVgsse4iv0akKtjXFIjAwJBpIOncybPWfTaV3+0bRq7aO7Ee2/qplIqAYikytB1WxaATNd3uVwvvfRScHCwIAiiWIGn418sC4D3ueKsHhSQYYdmCYvnTri1T4szZ/NH/e+z5esOlNnswJkLEtMcgFhVnFeEBAxIUg1AKMwufese59Ft+kF3GQZNBcb84Vj2c3EgFfJXN7/BNGEOC40uW/q2Y/dqEgXZx1LlDi7IVUgCIIfLvWTNvofeXrbtUNrMW3u98/DNPdrWR8Zzrnl1FkZQxev5CzZt2rR9+/aXX34ZZAHxXwNK/HHGT/7IsIA3Hxr94ozhwSbd7I9Wz/3yj7TsIs/blnwOVXhO3CPFAIlIzMswf/+K48gGfe+xusF3oc7k4axU+baqBD/yHVQEngEIAKhu2tk4/Q3r509YF7+KSq2m0yCZ2lmltUycJoAsr8A879s/f954NDYs4IPHx/Rom6xWMtktwYO/PNWsks0w/QpZWVlfffXV/fffHxsbe+lvuXTA8kKG/0rIeSSefyEqVapb+rVp1zj29YXrvlm1Y29K9vPTB3dpnih/rkoUAA9vnSzF1iWvOw+sMwyfqR80BXVGgtriPVwMv17ZRDwvVcpi0yQ0Nk14jgwhJR8/YNv1G5IAIFTtCogiEbJjaTnTXlm86M/9jRIivp07vl/HxioVct8mggjSY2Jwsb+zToKIfvvtt/j4+BtvvNH75/fff39wcHBwcPC8efOmTp0aHBwcEhKye/fu2ppnNQNBMgMQgHNaSAFAiA0Twj554tZHx/U/knpuypyFKzYecrtEQgBgVYn6Sae/01byxeO2/X/rB9xpGHW/rBeIsiyoZXng567ECuA4ssW6cK5gKTaNfULTcTAqNd4dXID7BSvetKKnGCnJdUgcDve6PafmfvGbucx5S782j9/RW6PR1Oj91Dhyc3NHjx49evTo9u3b5+TkPP/8808++eTEiRMVCsktUvdzFiqN8sJ8AuDaHSde/27tibScycNumDKqU1xkEHqr9ORpqFPhHpZDX969Us5nWhbNcx3ZqO5zu3HYDGYMqol7uhb4ubFwKUjdvCubOq/0m2ctP71FyHRdh6OHHcw/UZGCK7MUeD611KegsMT6/pLNC37bFRlqevHeIUNuaK5S1nlP4T+ioKAgLi7u5MmTp0+fNpvNRUVFv//++7hx4zzi4L8KTnzl5WmYAsXeHRskRAW+uXD9ez+tTzmb+8j43m0bx6KnHRR6mEJQkURAORlB7pVyPtOy5FXnwbXaQVMNgyb7oSyAOigOEAlVDVoFTn2l9LPHrN8+j2qNtv1AAPBOYqsAPKbERwAAkfJLrc9+8tvy9Qda1o/+4Ilbk2JDVYz9q61lCQ0bNvz888/59xkZGUeOHHnkkUfU6uqqxllXIJ3ixAhFAmTAlIw1Tox688HRrRvGvv7tmoysgnmzRt7Ypj4/9wUEqcJpBbKAAIAYEog8CkZOm2XRK46D64zD7tEOnc4krpHfoe5ZwiICAFMkNjeOfxZDIks/fMi+fSW4HQCM2/kV72aUuAUAIAiUkVc8ac7C1VuO3j6o07I37moYF65kDP4DsgAAVCpVgIzg4OBGjRqFhoZyx2FtT602gSDFrxG4jiCZBCa9ZsYt3d9+eFSJzXHHs98uW3/A5nABkgLEC0qxXjQYEAJIcYTSgqIP7ncd2awbNEU7ZDqodQRAVXV7VQvq4iIor6rmOLbd+t1csFn0Nz2o6TIMlGq4nCUnNTAim8O5fs/p5z773VrmvGfMDXcO62TUaUEqhkF1UT76EFw5+i/7DuSAIC+oWL6W3CJt3X9m3rdrDp7MmXlL16kjbogINhKI3B6oaCgBQEEAYm6adckbtgNr9f0nGoZMZybOO/TTPoR1bvVfoJ2pm3YOmP4GGIMtP71t3/OHTB2rSFwjIpLTLS5be+jJD1bl5Je+OnPY1OGdTVqNNKxX4KkOisgqwXO//wXl6CrACUqcjiK5qBWIPdrVf/fRm4Z3b/bR0q0vfPF7UWkZ4GV5hNwlKRblmJe+ZT+43jj4LsOwe5lJqnHm6c3lb6h7vgOv/yACKhObBUx9ufSTR0o/fhQVKm2HgZ56pSgVpiW5OCF+vGzT69+sjQgJ3PPdY+GBOil2CHBRJOK/tiv+a/d7eaDXV5BzHJjHV5gcF/7mgyMVSvzh9737T2f/9vZUk04HAN6dXIgERAUCIxIsXz7jPLxeP2KWYfQDXtdQ+G1+S53TDiqAIrGp4Y5nldH1LV/Mtm39hVwOQOL1Col4DQUoLLG+/d3al778u22T+C+fGxseaPh33Pt11DD0GtUr9w6bceuNGefyx89euOvIWUEgApKKKhBnppCQn13y3izHiZ26gVP0gybX9qyvFv+GLYGAmmZdTZPmsLAo609vOnatIlFEyTpDIDh3vuSlr9a8sWj9wM6NXn9gROvk2Fpng15HXQWCyaB9dHzvOdMHn8g8//SHv+w7cdbTRFPqwZWbYVn8snP/3/o+4/RDpjOdqbYnfbX4N4gDAiRAVeNOAdPfQH2g+ft5rp1r+G8IyOUSnv/st+//2nvXyK5vP3RTo4SIakhiv47/CogQiEwG7cShnV+bNTw9r2jmaz9uOZBKIAIhAoqWYsuS15z71upGzNKPnMVMoaK/xhEuxb9BHCCISIQAyvjGAZOeVwSGFX1yv23nahKFsjLXPa98/+umI+MHtXtiUt+QQD2S1LpPuK4gXMe1A1Hg1Q0ZikNubP7qrBEOh/vmJ776fesxtyiSzWr57DH7wbXaIXeahs9gWj3yyCXVDYpXnXMlVgi5dDExZXJbw/hnLAvnlC18sbCw+OW98MeOk+MHdXx0XB+9RkVylw76t/b9vo5qBhGTeImkUCjEET2aazTq2R/+/NSHq7Aou/Oppa5j2/V97zQMnAYKBZTXOIM6oZD+G7QDDv6KEEDTrGvAtDcUQRGOZe8oD/397LQBj0/sExlqArlthdyu5zqu45qBcjo8SMwlHNSl0Yf/u62RwWlb+objwCbdwMmGYdPRGAiEJJ8/dSVy/W8QB3KxekFuzyUqk1q8ib2ybPQ/9c47YkrCg4xSoAFEIEAiIHbdm3gdlYLkIwAUgdzcP9Whacxb9c90pTMfFTfcGtmbGYI99RFQCjfUAdUA/h3igGfnEyhEJCDML7JNnrv4693Ff8WMdIVElH3+eNn2leR2AgBINHPw5K5dx3VcG4iRlDzLAJUIjIrzLe/erUndndls6F/GLve9+evKTQedLjeRCACETFYo6gD+DeJATjclBMjMK37209WrNx3u2bZ+26Gjsm68126Mtv34hn3nKnI7EYCAgazB1fbEr6MOAom35OI91925aebvnnMc3qrtM779PU/PnXVTcLDhxa/+2n4ovbxSK9WZSNa/QRxIlhmB2Wp/8cvfV2w8NPCGJqN7tdFq1ObYlmn9Hi1lOuuPbzh2/gkASHKRvDryhq7Dz4AAIl9HVJRnXfKGc/9mw5B79MPvZgHBfTs1mv/wzRql8umPf01JyyMSebH92p7z1eJfIQ6QEaBA8N7ijcvXHezdvuHYAW2MRq2CUCGCLTQ2s/f9FqYr/eIx+47fgUSs4dY21/EvAoFcXlEQLV897dj/t27oVP3ND6I+gEAEkTo1i3vwth7Z581DHvrsZPp5pLrUgqfuioNyVR8JLGW2txaufe+HDd1aNRjVo4USlUAkgOBiQKQoC03O6ja9LDDWvOBp+7YV5HJcaChctxqu48rwWmwAQCTkny1+f4btxE79gDv1AyfzQmsICmLImGJkr1ZPTO7PFOJD81ecOptPnKpQ4XB+hjonDniMpzznkIDsTufC3/e8/+PmpsmxI3u2CDDqZccASnnnAKWxrTN7zCjTBluWvePYsZrKJTaBZAb+a4okX4cP4VkSIoHIl42Yl2n5/hX3wU26fuP1Q6YxfSCAnFQHAABKpWLSkA7/u6PvodPZcz//LbfQ6nFUeZatf4Ye65w44J3V5YqHIALB79tT3lq4LjRQP2PMjdHhgaziBGewRjdK7/2IGfWW719y7PzNE6Dkgh3kJi7/BVxuMfrpIq1FEPLYNG/0iMDEshLzD68496/VjJxpGjFLrl9w4R8BKJSKSUM7Pz6x7/q9qS9+sYYnSgMRgshbLmDNNl+8StQ5cUA8d1nyCAI7kZH77KertWrl/bf1MOk0CChUXP8Emai0hSZkdbvbog0yf/yQfbsUawBgRLzvlj++IZ/DUwDuos3/XygMd81AIgYiiPzwEK3F5o8ecx7aoh8yzTD0blTrKnRIcze1RqW8Y1CHW/q2Wrp219wv/nQ4BUBOpidRauTud6hz4sBT8IAA6FhqzvSXl7hcwtj+HSNDAxAZ8bjwpSASkQEwc3STrK53W0Pird+/bN+6kpwOvg3+OzuB36nb7c7Ly8vJyXG73XBdFlwORMj57ARCblrJ5084U7bq+0/QDpwMSpVEbKvgFCEAIhQDjdqHx/ft3b7xRz9t+vrXnXanC5AXUfRTZ3adEwcIgCICAGXmFs/57LeUtLxh3Zu3ahTDAHgn9YrlLgKSyPtkmuOaZ/Z+2KwyWle859j1By/K7lWK+V8OIsrKynrqqaduv/32cePGzZ49Ozs7u7Yn5acguU+3kH/O+uObrsObdAMm64dMUxiDUCK6VrxseLENIIwJD5hz95B60aEfLt20cd9pyaflqa/sZ6hz4oDnhJDN4fpk6ea1e06M6N6qT/tGSiUjlNgEFUoDEQkYMBJ5401rWIOM3g9ZQVXy9ZP23asuUwDz3wlRFN9+++1Tp059880377777ubNm3/44QeP4XDdfeANmUfkLvlujm3fX4Zh9xhHP8iMwQAIIFy+bxJnMSt43+eGCRHfvTBegeypj1blFFoABT/VDeqCOOCnvUQ08jz/nzceXvDb7htaNbipXyuU2+oSSSVQLwXPaxYRRQA+RllovczudztM0eZPn7BvXk5uu9c+kHmodUxIXBgduay7UIyKjn7qqafi4uKbNWs2duzYHTt2uNwu4mUmpdw7L0JduVec/0uUn0x5VUqJb+P9KV/fW42AJP+yVHGTAFAozCl58x4xZad+0FT9oKkgd6NAUP5jnqKnkH9SdNiTU/qXWu33vry4sNSB0oVEAMEr2lCNN3aV8H9xgF4RHO4xgE37U1/84s96saE3925VFTFriW6ReeN0a0C0ddlb9h2rQXCV/47IL12/VwZK3UBklRQAvEKzRARAqFCoHnn4oQ4dOiBSTk7OwYMHmzdvrmRKL61X9GwLlFc8TwyXWpPIl/NovIhSkij39JJUw7bu8G8APLnInrLoROTOSTMvnOs4sknT5w7DoCmo0VduaMZwcNemk4Z02n088/UFf5utdgAgYgQKKYVGjojXLvxaHBBJbFBODSAEQDqRmffwO8sdbhrVs1VESEBVckcR0BLTIrPPY6UKg/XH1xw7f+eXBUARGGDdWs0AIAKJnl4TBFy1QgGQF5WXdCMgAMzMzBw1avSIESP0ev2dd05iSh5n5ZtatphlyUIgSlsf+Y4hAllTJpLzwWTdgsoL29b0A6giEABAlJv3UWmB9YfXXAfWG0fONAy7h5lCqjK2Qa+aOabbDS2Tv/9r/6Lf97hFEQFQWuE8yl37zBf/7rNAcnaovPSKzWUPvL3yty2HJg7u1K9rEyQUSah0G1UERCI3igF5Z+I2vG0oyDTd+4a2wxBi3llodW1NS34sAABAkVfwFkTBLYiCCIIoCAIcPpWVmpm74o8NaelnM3OLmrVoGxBodLgpNSO/pMzBw+IoUqOE8GCTDpAxEJokRBmD9EnhQdERgfHhgTERwQoGCoVCwVDJGGOMn6c8sZd3tfBm5tQB8FMAGCelgctZ/P4s4ehWzbB7jSNnkcRoExEqW9eIAIAsdlvvuz9yi+6PnxzbvnmiAsr92F7PrNbg3+IAgHfR5lN0ud2fLt/61nfr2zdOmHpzZ34KEe+6WClI5x0Qgmg6dzBuy2dap9l025PazkNQrZarpNSh9cy1ewIAp1ssMlvzCswFJWXZ+eZz50uPnDp7Lt+cml1QVGpVkhAQYAwNMiqYwl5Wmp+X27JFK6VSodepNGrF0aPHTCZTTExcidXGz363IBZb7SCKVpvT7nTll9g1aowNMTVNjg0N0DZOiEyICgkLMoYF6aPCAvQaFYD8cgDq0AMEEgAVBCSeP2td+KL92HZdv3GGofcwfYB8hle+V4rc9E3cfiRj2os/NEwM++LpscFGg/RrSZ+r5Wfl1+LAq7AUAMCuo+lT5i6ODDXePbp7oEErlZmhysdsZA2Ai2Yy5J1I2PihXrQZb3pA1230ZdpA+zPIbHUeT8vedzLr2Jncs3nFWXkluUXmUostISasfnRQXERQXERQSID+pReeG3PTiDGjRygZ/rF61apfV3z77bc6ndak12g16jnPz2nSuMmYW28pKrWIhATgdguFpWUkiqVWh83pzissKS1znc0tOptbfCa7MOt8icPpCg80RIYHxkcEJsWGtqwf0zI5Oj4ySKlAPzdIvUEkIjJ3bpplyevOA2u575AZgzi/AC/bkfHqBpeaMZDdJXy9csdrC9bc2q/9nLsHqVUKWUGgWn9Wfl0rUao5AwwAymzOe175CYgN794qUK8QEVEUCRihWGmZ6gmu8atZIxqn93ko4e83ceFLqNZrOw3yGlliNNeAvkAEKN81SJ56ZOSxMQFBJGKI5Dl9CeC3LYd/35ay7XBaiaWszOF2Op3NEqP6dW7UpnFcs6TIIJNerVKqVUytVDKEUzs6Lv7ibZ270FZW9vPPP0+fPj0+KoQxjxpMgKRUsPDgAM+s4iKCvCcpiOR0uV1uweF0O9zulPScXUfO7jqa/ueO43YX6TVKnUbVKDFiVPdmPds3qhcdwg9VedEDgYeXhxcejOVlaar/oOQRErk/DwAiE22lZYvmOY9sMAyfqR98F8q9VdHToafy4NIANSrluEHtNuw78c2qHa0bRt8+oB0gIbHaNxX8XDsAkOzgMofr0XeWL1t/4Ja+HQd3baJkICLjTUbR14XojDlH4zZ9aCjMMN31mqbzEFSopQJXRHIL6GqWCOVbQ/4JCiIo5F5S3FWIFpujxGw7eCr7542H1+xMsdsFo0FlMuo6NY7v3T65R/vk8GAjATLJFSsZ9QBABA6HY/Xq1atXryaiQYMGDRs2TMe7CQEAwHPPPde0adOr6NFIPH+EIXlojU6XcPBE1vp9JzfvT03NKiq1OpwuV6uGMbcP7NCjTVKQSWsy6JSS3PH4ID1TkwMX3KdWvSelCMQkUUACIUNAsaS49KvHXUd3aAdOMI68H5W+7GotGQtStIWdPps/9MGPA4y6T2ePa90wGj3HTa3Cv8UBASC4BPH7P/Y898lvDeLCZo7pqtdqCb0at5NIvtPqEQFINJ07GrP1Y6NQZrz5YU2X4ahSSy4G8nyoeiH7lkREvkawXDYQpuUU7j2euenAme2H0jJzCpLjIxrGh7dqGNOuUWybxvEGnUoWJ6L3luL79WqM30q3bJUbXSIAOF3utOyivcczD5/O3n8i62haNgPWtWVCt9YNOjRLaN0wWqlUyg01+Yw8AoCoBooLEpGk6kmcICE71bzkNdfhjboBU/SDJRvB51eF8uop8NuWYw+8+dOAzo1fnDEs0KSXU+9qUyL4tbHAkXYu/9tftxv1ujuHdtLpdFIOoshPIxSYL3PDkJCAlcY2F3s/GrthPix7BxQKbddRADxwJkpl2av5naF0TDLv9rNut3g4NfvHvw7sPJaeeu48Q2X3tvWemNivUWJ4TFhAgEGLnFTrMSnIUxgSQdpzFycmXJqqUOnjgWRTil9brVI0SghvmBA+RnCfzS3JzCvZsu/E7ztPzf3yj/iIwOT4iJv7tOrboVGAUeehSfAwn0wkq4mHTMjj2KJYkG358Q3XwU3aodN0AyajIUiU4gg+VFG4fkAEjDtZB3drtvt4xhc/7+jVvuGYfm39ILDg59oBgCDSE+//svD3XY/c0atVvRgBEVFEEQFRRGAizwfx2S0wfiIDAAj6gsykv1/TFp8LuPtdbeeBIK1a3y6RCuF1SohcFxcPnMh66as1mw6kutzuetEh00fdMHZAO6NOxRiTOACM+PRBJmmWZy5euLEuEgGXSoSr1A5IWuAeTy6DCy9GfGYiQyZZKQ6XsPt4xlsL1m44cEaBGBao/9+EvncO68xvl6SYMXpMiOoFuQGV3H1Y8uZU25FNxtH3GYfN4tf2CFWfXY2oPI9UUm8xLbtoxrwlR9NzDi980qBX1XoWmX+LA4Lfdqbc++L3nVvWGzuwnU6rZkBAIoCCkPOSeJTbZxeUYw0MQRRRMJ07GrvlM0NZvvH22douQ1Ct+8cRfAFRBMb9FefyS3ccPLNs/eG/dx6JCQ9uUT/61gFt+nZqrFGpGXoYLNxH5YmFeco3yBu1XIW/QB31FgTeWc9z5sy5OmPB4zJAr6HK5wFcW+GMO56VLp+Ax8/kLvpzz9YDaSlnc0MM2snDuw7s2qRhQrhS4XGgVu/O8Eh2IT/L8vXTztP7dH3vMAy7F7U6+R7Q104imb8lMeaRAQHBig0H//fuz62bJHw5e6zJoPXd5SoDfzMWLngBqefyn3h3WUiwoV+nhjqNAiWCCAPJjJf8L768vOTXFkUAIIU5puW5G++O3fwxLn8bEHQ3jACF6pLZ+mrReCIFDIlyCkp/23Zs1Zaju45kJEaHPDSu741t67dvEq9VK+Wtgl70Qa//l+8j9P7vpbqo91nk+f4aDygmTeXCi5bPRZ4nyBPl0rtJvYjnpg1Ky87fciDtl01H3l68ftmGg/07Nx1xY9MWDWIYY+XjyQw0Xzzk8kH4xITsVMuPb9iObjYOuVs/cApqOQeZPPpBla/oDe8nIncUBurXucnQHqk//Llv0Z977hrRVVEuEGvBcvAvcUCySEYChyC89f2Gc/mWSYM7JEQEAwITPZp8NZI5LxrZHN08re+jSevegiWvokKpuWGkfAhy3i7fZVV4d1yjJgBkgCACuZ3Cig0HP/pp25lz541G7eOT+g7p1jwuPEChVJTva+/Vcpkr4xX/6QtcecgKfitLBwJABcP6MRENYsMHd2l65EzO5yu2fbB43Yr1hwZ1bTjjlh6xYYFeflv5XK38PUiRRABR9lQysbjQvOR118GNhtH3GfpPQa3MCKqhbYgIIiAz6DTPTB74x7aUxX/s7d6mQbN6USR7jyVbsUZmw+FHFBGBvzHilY6ENduPrd11rFF8xMDOTUmB3F9Q85EYRLCHxmZ2v8+iDjR/9phj20oQ3QDg1cEFqFILiKTMPwSQBIHD6czIKb7l6a9nvflTRk7hnUO7bvxo1sybu9eLDlIqlchPLNErqlI3geXJUCIAhoeYerZv+N0LE1e8OS3AoPryl50DZ36w8I89FpuTJFNWTsOoNHhzNAIABqhAZKLdUvr1k85D67VDp5mG3yfrBTUKkndfcIDu3UdGHU/PXfjnHpvDhSjyLLIalgXgV9qBAgBQJEAkzC+2fvfbHkHAaaO6SqRBZAKItbARCBFUZRENsm6YHrP1M1z0Irld2s5DUK0jLhFIlPpvXSN4WgQiEKFIcOxMzvd/7F74256wIMOdQztPG9U1OS4UkHkF5+VuYJ7YXB2FrDBL3QsZcqnYuWW9Za9O+XHtoeVr9z3+7sqla/bdNbJLn46NdGq1VA+v0jJB8qyI3M8i5KVbv3vJlbJTP3CqbuBkkNIFalo9RzkTjAHe2LrBLf3aLV2zf1Dnpt3b1AcAyWap2Vn5kTgAADlDnFZvOb710JmbereKCQ8kUUQE3oDR4yirMSCJIjIENMe2yOx5f/ym92DZ20Cg63GzZNZUZTqEgGB3uT9aunHFuiNp2QWje7e6Y1D75vWj9TolScaITJGVApBQHXZtTYJkdqIne9pzR8EBuumjOvdpX3/DnlOfrtj+2PyVPdsnTx3ZtX3T+CpflrOMSczNsPzwmvPoJv3g6fqBk5HXQa4lhYu3/CAkrUpx55AOuw9nPPvJ6tXv3KPTKGqlGYgfGQsEwKtBWKz2V75ekxQT1r5pPRRFYozXOmZyzeManRVDxquqALNGJqX3ecTCdJbvX7Lv+EPymV+jauAdyiGg4+k5Ix/57M0FawQSv3x23CuzhnZsnqjXqYCQixruT0FJe0RC8tfKWlcLJEQQEQUAkZAbAiQxP4ERYHJ8xJ0juix44Y6urev9tP7gXS8s+ObX3U5n5fPNZV4DgsNuWfSy8+B6w4j7DSNmMmOQVJe7NqQBycW7CQgYa90w7qbeLU9lZH+4fJMXi7tGX7UfiQMkAFC4XOKj76202O03tkwKC1KLiEAiL0hXK5tABCIGjEQAAFLYghPO3XiPVR9W+sn9tq3LyOW81nPF44QvMpd9t3rnzY9/k55TNG5QxxWvT+3XsaFeo+GfAi4A5aghAuP6MhLzi0IZVQECAANQ8GrlAFAe2pOXv4KxRgkRXzw99rOnbjOZDM99+uv9b/+Unl3oFiojFPiYYkle8Qf3OVJ2GgbfpR98F6o0kgVG5bGQmgRK9gIxYkSiQsluHdAuJjL0m5U7D6VmE/HqnjUKPxIH3HrbuPfUqi1Hm9WLbts0AaTccimgWCsMCU9VNU9lNnN087M3TrcHxVl/fMu+9WdyO+TP0oX/g4u+ylV3yS2IOw6nPf7+L09/8nujhLC3Hxr52gOjw4MMFRTllfjX5WG6Srkp/B8VJggRAI7s0eKb5++4Y1CH9btO3PbU14v+3FNqLZN/7/2owYvBKRdzItFT48ydfab0q2eFY9t1/SfoBk5BlZSPgMBqRRbI4N4g4DU7EqKCn57Sv8RiX/LXfqvNyUPONTkbfxIHIBQUWxf8totEGN2zlVHvywQS38IS0zSt72NmVaB1+Tv2HaukSBjIIUiSO7hI/Z2A1xfktqDd6V7y975H3lm+cv2hu0Z1fu+RmwZ3bcoXpOQduA4JkuukXkzo45P6vfrgKEEQ53z2x0tfrSm12iSmklTImKSSWR6eldyYl78SoSDL8uPrrsMbNcPuNgy+ixkDa/GurowhXZv3btdg5aaDJzLzCGraZ+xH4oBAsePQmQ17Tvbv0qReXKg/n4KMFGWh8Wd7PWhR6C1fPGHf8RvvBAuAIjFAEWV/GQ8ue5KsBEF4e9GGR99ZkZVv/vnNac9MGRAbESRXc5INyesoBwIhihRg0Izs1mLT5w/e0DLxy1+2DZz16dmcUiIRpPaHvCcXybleRAzkSo0IomD+8hnnvrWGETOMI+/jtUxq9aYuCyJiCnhwXO8yu+uzZVtr3qPhL+KAiEostsVr9ul06oFdGks/rN05XQYIQMAYKKyh8Vk33GMNTbJ8Ndu2+SdyOIiIyZqnbCcQA0ASSRROZJy/49kF7/+4uW/75N/evadziwQATrkiIinC6j9vxA9AIHMFONdLo1a++8jND93eu9haOuihj5etO2SzS501iBAZA5ByzCQuB4GQf7bw7enu07v1Q6dr+08i5MV3/bQKJiICYYP4sNG9Wq/acvRwatZ/1HeAiH9sO7Z53+l+nRoFGnRYq/bcVUAUAQCYObbZ2e73WozhlmXv2revQlH0IsCBxzJ0i7BhX9rM15du2p92z01d590/snFCBHnxl7insK67CH0N5OEVqZ8uIBIFBegfur3XGw/eHGrSPffJbx8t3yJKlWFJqiZUbm6hkHPGuuhl15Et2n4T9YMmM52Ra3C1njh4BSCCSace3bt1eIjx6Q9XuV3umrx67YsDHniz2Wwvf/1XWJCpTaN4JUPuBPJP7YAnBDEiBkCAlsim6f0esyoN5iWv2Hf96sUdFj3OrVVbjjz05k95BaUfPj7m0fF9YsIDAUTemYvHDYl/2E/vuLYgEopAiHLBBx5l0WnUQ7s2+/KZ29s2jXlr0bqJLyy0OpxewVvpqYvmgtLF8+wH15tGP2gYPoMZQzhJ2d+T9gCBsGPTmAEdG209nPn9X3tr8vK1Jg5IVgW5/P9q1b7c8+ZWDaNjIwL9n2Mjd3CRZmoLis/oPtOuCS3+5H/2rStJcBLwclfgcLi+/W33XS99r1Aq33149PDuLXRaFUrEZM654k5EhlATfSKvsBf8b5sw2e0PXq5WAAACsX5c6JsPjBrcpfHaHSnTX1ycejafK2yEiMDcZebSzx4Tju4wDL1bN+we1EipqAgKQH/WDqSJKRXKKSO7qpi48I/d+SUWrxdTvS+pNrUDAs4Boczc4sV/7g406bq3S0ZkotSFsS7BFtEw88a7nMFx5sUv2bb8DE4HABSVlr2zePPsD1d1ahL30RM392zfqPYT2vGyp2Otz+0qIMrKGSJCeLBp3qyR99zUbfuR9Kc+WHUyMw8IEEjITbV8+qjrxC7twEnaAXf6abPky0JqYZGcEDFlVNeT6QV/bj/BA6YkpXFVo+Oj1sQBklRvTBBp5aajqVkFfTo0iAoN4DE7vFxzNb8FgjWmxZk+D1s1IWXL37Fv/8VNrncWrf/4p43DuzV96+ExnZom1PYUJSCiw+FYu3btiy+++NJLL+3du5c3ca4LKHfK8GyPkAD97CkDHp3QZ/eJjMfm/7zjcLo7L9O8+DXn4c36gXfpB01lhoAazwOqIrhrGRDgwbE9g4yalZsOF5RYZC2pelXn2tMOpDtjuQWl63an6NTKoT1a8toQTKoTXKdADIDZwhqk9XnQwoyWBc9/98qrn/68o0+nJnPvHdo4MaJW0jErmCaRKIoffPDBhAkTzp8/n5qaOnbs2D///FPu2ebnQAAQuQeWszYBlQrFlOGdnr9ryIm085Oe+SL9w8edhzboR9xtGDGTGQLrIm0LpSoSFBponDS007aDp9Oyi/lvqJpvpxaNBWl7HDydvfd4xvAeLZUMFHxRIgpQ17QDEHgeris4IaXD5HOK0AGnFj7VxPLcpJ4hgXqJpgS1v+UQ0e12r1u37qOPPpo/f/5HH300duzYn3/+2e12X8GO8CdwD64MFAlBo1RNGNT+6VvbvKJbx9L3lXQZqxtwl6hgUEvJCFWAZ7pSX9z+XZrEhAZ9uHSzIAqezI7qQy2KA17RSPzy5+3BAca2TeIAlZy7I8qO5Nqb27UDpbRji8218IQwJ6+FMyj2dtoefmYzuJ0AwI8yf7DPVSrV+++/369fPwBgjBkMhrogBTxAmaknguSvJQAQclKH5668QVvwJ7Z5/EDAqVyzHLglqFMLiUsBKbtJFBOjQ25s2+Cvncf2HT9HgFCFJkNXg9rUDghh+8H0LQfPtGscE2TUgpyv4/+SgNf3lLnyiCTVwySCH9ftX7MzJapTj/AH31cER1mXvmXf+Zvcd7acm8RjYUS1wIdBxMTERL1eDwCZmZlr1qwZMmSIUqmESxyNfikmSF4fnj4lKBRmWRe/5ji80TByRr0Jj5wsdN33+tKzuUUSkRlI8kHyh+7XAkKuNcfDTkxh0KqGdWsaoNe/9f1agGrXdmpTOwCil776M9CkadskQa1S/fNf+A1EAAVTKIgYoIKJvB8LCeKfWw6v2X5sYOcmL9w9zJDYyDD1FQwKs3z2uG3br0QigiD7wYDzFWtRWSCiU6dOjRkzplu3bkOHDuX+RYvFYrVaHQ6H3W43m81Wq1UQhNqaYUUQpSQFFIHcUkqYw2n++hn74U26ETOMo2YN6N1xyvDOR9Pyb5/97dmcYlmgMSktnARGtZQbW0lgj3YNk+NDdh5M33oglYgQqtHvW3vigHD/yXPbD6UnRoXGRwbVoWgQd+a4SQREEUgEBECnW1y35+SiNQe6tKj/3F2DwoKNAKiJa2Qa9zSLSzZ/+5x98zJyOj1pNjyxtnJV1aoOh8OxatWqyZMnT548+cknn1SpVET0xRdfTJgwYcKECStWrPjwww8nTpw4YcKE06dP18oMKwahzFtGQCUCE/IySj6Y4Tq5Sz/kLkO/O7nuMHNMt1k3d80tKH3xm79yCku8qrQTP3QJ/ZSkXCEQaeatPcvszr92nnAJBFTZFtJXc63aUgjdgvjEeyu//nXHoxP6tW0cC36swF0EuXwPidLhTqJIe4+fXbB6V1x00BuzRrVuHCuzZQCBXKf3l347h0oL9KPu03W/GZlCthBrJ82eiP7444/PP//8zjvvHDZs2KUfqHQXpmoHEchtZQhIyE23Lp7nOLBBP/xu3YDJCkOgiMCACJjbJbz27d+fr9x2a/92r8wYyphcnpgXgK9aGdaah8vtHvTAx4j4wWO3NE4Mr741U2vawYn0vJ1HM2IiApsnx0gFPuoMiABERAUhAiBhfnHZ0jV71WrFOw/f3KZxrGzfSTmOqgatA+99mwWGli1+xbFjNc/Ak3NXa+Gu3W7366+/3rBhw5CQkB07dmzfvv3AgQOiWBcOTEQgUYrMW0ssi162H95ouOVBw7B7FYZAiW5IDEhUKRX33nbDTX3afLd655sL18knDe8pWVs6WeWhVCoeGdf7yKmcPcfPVuv5XTu1Eolo68EzqWcL776ps0aB4Kdeq4rBV5MCkBAEQLvdPn/xujK3MP+hm5onRVL5oc94uAiJKaMSDROeL/tmjvnTh0F0azoNQaUGrqphou8himJGRkZGRsbSpUv5T5KTk5cvX67Vlvf88M/XQQC8x5RoKTF/+qjr5G7j0HsNg6bzprEgNXeR6qOGGI2zxtx4Mi3nlW//rhcXOrpnK4aSZlAbVQirABIQsUur+gmxIX9sPzq6V0udprpO8RoWB9IiK7bYNh08HRqoa9s4ViSGKDLwGfcSq9nu4KEtQlEktNrs367alVNgeXh8r57t6gE3T6WOxoDoSXdGTYPWOP4p83cvWn6YJ7qduq4jUK3x0g7Ia+LVu1Y1Gs3Jkyev/Bl/CIjKKOfh8aIGQnaq+Yd5jhO7jAPu1A+YBIznP0taFwHj2Y0ElBQb8vTUQdNe/v7NBWvjw4I6tUgkYn50Z1cJZABo1Klu7tnyo2Wb0rMLmyRFVhM5scaMBfKUCSKAs3klm/aldmmZqFQrAUWoQmzxoj4sNUBY4OtOJHQLwsY9p/ceyxzRo/mkYZ10arW0jQgBGF7QVxoBUN24g3H6PBYaW7b8Xfv2VQS89JXkR6ALJMJ1gDcnxxOUFfPOmX983XV4i37IFP2gqWgIlD+DXpQEEKXiEdipReI7D4/JL7G+vXhDbqH5kpHrBBAA1EpF11b1Awz6RX/uAxK9Upl8eS81Jg6k+BASkUgrNx4QQWzRIBaIMSl94aoHurB9mNQKkBfipPL8t+qDFL0GSssuWrXlWEx40PxHbg41aanign8XQBPfOGD6G2gKLv3mGceOVTzAIIIcBQMiP0g59xcQyoRkxsWr6LKZFz7v3P+3dvT9puH3oSGgwj8DAAYiACIJRNSrffJTdw7+e1fKJ8u2yOK2bmkIxCOszepHNkmM/PSnTWa76wIr03cCoYYWn5yEDgRgd7iX/nWgaXxkVLgJgEQgdm2JGcSDdOXNloEBMgFIlHqCVi8QAAnKytyLft8dqFd9/OQYlVJBqAAEuSba5RQUJGLK6KSACc+r4huZP/ufbdNSctqYTESXgmHXwYGeGmdEAELBOfPbM1wn9hpGzDL0nwSMXeZJ8YfJf6tAIEIa3r3R6F6tP1q6ZfWWIyhXU6kzIOmwDA0wdG/dABkuX3cQLmBq++x2akgcyBlJDBH+3Hksp8ianBBh1Gl5UQDeF/xaRkNCqXEwLz0m9dGpEalPgC5BXPr3nqzzJdNv7taifgxJhFnw8OQuw3ORmu6oGrU3jn+WxTSw/vSOfftKcrs84cu6dWxVNxCIARKRmH26dMELjhPbdf0n6PpPRLVOfmIVLRvipVKIkLgOGRYUcO/N3RKig5//9PfDqTl1ShiA5PpEAoABXZvoNOqlf++1O5yyWezLJVNzxoKsDMOi33Yb9dpm9SKBkcwruYZmRiSlfSMRMECrtfRkytFTx4+ePnbMabMCAGH13hQC7T6e+fee1G6tk8b0batWKhGY1CTgAnO3gj9Fefrqhu1MM95RBEeVLX3TseNXHhEHOWxxHVD+KJGK8iw/vOY6sskw8n7D0OkX9kqp6HFxicz/ln+GoHXDmCcm9k3Pzn938doic1kFf+W3QL42EACS40JuaFX/THbx4VPZXk4zn62ZmogsSAo8iQjsWHrWoZM54cH6+rFhICIDUWCIvO/aNd4Vr557+NDB5x+5V61WMURCjIpPGjdxStce/RXK6mI95xaW/rLxsFrFnp0yMDTQwNvsSmoBSQYDViRniUQp1gAAAOqoJLxzbunnT5Z+8QQxpus8TIpgXgcAeE5/Z1nxl0+5ju8wDp9hGH6v/EsBSXGF9cILpALjzYyIEBmy0X3arNx09LcdJ3q1PTZ2UHtWR+ogyCeNCMAYU4zt3+Lv3SmbD55p3yyRd7f0YQ2EmtIOJC4v/L3zdInN0b1tQ+4AEJCb2+zqb4ibFdLxgLh709qGTZu9/O6X879Y8vJbn3Ts2OXLD95evvArURAAABFYVaNmhMAkexTI4XSv2ZFyvsjyyswhjROjkHjxZFm3kTyZFV/vklgDUyU2M93xtDKusXnBC7ZNS8nhlHOdQFaDAGojzak2IPdKkRxNBIDu3PSSd+8TT+3VD56iH3Cn56MIin8gdCLIL42/fu6TpFfvG14vKuTLVTvPni+WLirZFhW0vPEXSMtXWjzDureJCQs8cOJcYYkFiABFqlu+A/5OCFiJuWznsXS1inVtnljp0TxJgbx6wJFD+2LiEhs1bx1fr37TVu3HT7tv8Mhbvv364zMnU4BTiaFKPDRERiAi92YhSz93fvPB1JE9W93at72XKlrp4UnVuL1pykuKiETr8ndt21YCCd70AwSqbtvHb4AevZc/TXd2quX7l51Ht2gHTTEMmoI6Y1UG5wI7LMh43y3d03MK31+yUbLKpegu1iEzbUSPFvuPZ57NKyYE8Gmxp5rjHSBAanbRifS8VsnRWm0lNXmU2H7EZabdbks/czo+MUnFkBBEQI1afUOv/ozowO7tsuyv2rx5xWQCQGQi/bjuUJDRMGlYe7VSASAVMKjC+0AkpkpqHnT36yww1Lr4FfvO1R41ubyt078fBADEQJTKfiBZiy2LXnEd2mi66UH9kOnMEFSV0XmTWJGQMerfpWmPtskLf9+zdvdJknRt9ItCFFeNEd1b5JeWHU7NAUDf0fcAatBYYARw5lx+enZRl1b1q6bdeHRKOnMyBYiSGjQiAARUgEgAkTHxjLH8glyfxBo8VgkIwpodx0+fzbulX5sWDWIByjuBVelmEAAYi25gmjiHRSWVfPKobfNScNkBGC+SWYeWaRWAACICMEIgEkvyiz562H1ip274TO2gqaDWEgBBVVKtSSL3AQSZVHcO66jXql/4/I/CUivxV1ynQo+RoaaWDaNXbTzs87VRM+KAAMjhcu84kh5o0ibHhla6L7ukRaNUe//44QPIWMPGzUGi2RMCZJ45LYpiTFwScMqw3NmzkldEFAkQ4Fx+6a9bjzeKD7u1bxuNSgE81glVjfqiXB1Y1aCNcfwzqvjGZUvetG9eTk67zKv6bwgELuURxaxU8xdPuk/u0Q68U99/AiqVnJbCY9KVBHq+MgLWvXWDOwZ3PHOuYPm6g6IgyIpYnZEIQSZd6+TYvcfPmq1235o5NSMOEAAdDtfaXcebJkXqVKoqNCaVXAa8pmJWRmpwSHhIWITUHxEZARzcu8MtuFu36ywxAKh8LVRq6iIwEERh075T+SWWCUO6NIgLBULB83uoSq2GC5zC6oZtA+5+E0NirCvet+/4FbjvoO4s06qAx1nF8xmlS15zHN1iGDLdMGgqMwQBIPFeKVVa80ietAZAAHhwbM/o0IDl6w+fzS0GZFinKiDo1KrWjeJcovjXTslB5quRa8pYQEjLLj2TXVI/LkypVlThQEVEJAAGiABpqadik5KYQkG8MhlA2umTf/y6rP+o8Yn1kiQnNbs2CxwvNCQJmAKE0+cKdx7N6NQ4burILrzmu3eYqwp2Jz/8PSWxmDK2YcDdr7PAkNIvZ9t3/AJcoMmJDZ6qanXoKLsMxPLICQBwl63gsnz5rOvQOsPoBwwjZ6Fe4iD7pFfKBYEIhECD9qkp/Xccyfhl01HZhVlntDBEatUwJjo0YOHq3cgtWR+hZngHBETL1+0LDzQkRIUwBJEqr5sREWNIJJ7LzCw1m1slNzydcoSIBEFMPXH0z1+Xh0dGT5063UvSXUNkljMdUaY88oRYtxv3HT9nsbmemtJfrH4JqohOMkx4zvLdXPPnT5LDoe08FDVqAIWHxcSpetU8i2oFATGZouHmklzMzzZ/+4zrzAH98Jn6fhOqfQYIXVvV69Oh3tertk8c0j7QpK/uK/oUmBQdEhsRuHHvqbxCc0SwyVeirCbEAa9pu3LzofBgY2SwEYGJla0HK8UsiQDQXFoSYApIOXww80yaCKTRaLQ6fd+ho27o3scUFOJR/q41df8C1YAIAM4XWzYdONm/Y+M2TWJrQJtCQE3D9mzCc+YFz1uXvQ2iS3vjGFDwAgs86amOJexXAJTDfKhEAHf2KcsPrzsPbzIMn6nrf6enh1q1Xj/UpB/evdWzn67+YMnGp6YM/Acig5/BoFV1aJawbm/qziPpw7o399XMa6beAZ1Mz83ILezdvkmgUQcEjFXSlSsplgSEVK9BwyfmvCaQyHmBCoVSr9XpjEZkCu+xEdnVSwRJI7jwZ6u3HUERbu7TUqdW10CKFPcMKZPbBc6YX/zRI5Yf3ySlRn/jaGkPSdKgBiZSbeBFSiQGmigUn7csnuc6slU35lFd3wmo0YtACAJWJ0GTSGQK1r9z40W/7/50xc6xA9vXjwuvvsv5GggAfdonv7Zgzca9J4d2b+GrpVBDrsSNB84oGasfG4JMgVjVYjtcm1drtaHRceHRCRHRCTHRcWERUfqAQIYMpU6/UlpURTv8ioMTeb4iYkFh2Zodxzs0S+jUIomxKoYprgoIIqc5KiITAye/qAiLLfviSfvWlSS4AVAErK2qaj4DgqfGGdjLLF886Ti+XTfqXtPQu5lWhwgIiNVZIBSAtzqkqFDTzf1aWW32FRuP1UqR+8pCJIL2zRI1SnY87Xyp2earcWtCHAiiuGbXCY1S1SguDEiQ/LuVAkokQCZldZCgQAEABMkdR4QolSj22rZE19AC1tNrABEFQfhjZ4peqxnVq3VYgIEzVqp/KyLIvBxFYhPj+GdYQjPLwrn2TT+KDhurgtvFT0BympmQk1bywQPO0/uMgzx1kIHK31+1ToLx5j639msbExnw66aDZ7KLqveKvgMRQxQRYFDXFrnF1jNZBb4auRrEwQVUQAKAgiJLRnZhWLAhOjwQoLJ2gjwcceautN9RlL0QJFNc5cDiBR7Xa70kFwp5heYDxzPiIoIG39AUkEfDamYrckYDIKC6UQfTlJdYRKJ1xXuO7Ss5/f4CWce/+vXhRnJKAoAk09Gdddr6/cv2Y1v0g6bqB05Gnak8yFIDZrwkbjBAp3twXJ/Us/mb950Wy6O6oj/Hd1EuqDH0xiZ5xebU7Hz+cznXpfLB6WoQB/LZBvJSPZlxvtTiaJkcxxgDuJaT+rL4Z4ly4Qeu9pKIIpAAMjd577GzeaW2mbf1NOlVBB5iW3UDL/peldjEePcbLCjCsvAl+/ZVhIhSmebyA/Wagk1ElJWVNXTo0Hbt2sGF3tZqKJp6Ya8UEgGArFbL4lech7cYxjxoGHq3V40zqKmYn7ynEMYPaBccpF+350SJxc6FPhEvylz9s6gkEBCBYOANLSwW++mMApdb5CqwbBpX8gFWi7HAnWFEkgP8aHpeqdXeNCGEyWXy/ZYgTsTrcAEAFFvtxzPywgP1N/VoeWHJ45pfJqiOSjJNeF4RU6/k00fsG38kpwMIeW4WjzVcU1W1o0eP3nvvvWazubi4GC58H75/N8RIkt8MUInIhMLsko8fcJ3YpRs509h/KihroZy3t9RTK3H8gLbr96Zm5BQCd3SiT/Jdqg3yvLQq1rZp3LH0XKvNIZfLQI9+XAlUk+8ASS4a7nC6T2bkioLYKClGKork18avZIMgQM558+mzeZOHd9JqVQgA5adxrcwKVQ1am25/WhnX2PrTW7YtK8hl94QbJZfKVUOr1T744IM33XRTTRRQR0JeDZOIgNxZpyxfPeM8vlM34E5dvwmoVNbKY0Wp+ykBEKGiT4fGJq1m5abD/JfAp+S35A7JHCZA1qVZwqnMfJvdibwnsPQLqNwj9b04kOik3LMHVGyxpecUx0YE6XQqEQiAMT82y5hUr5MYiQdPnlUolP07N/GWtbXU3U9iUqkadwicMZ+FxtiWz3ds/5U7ZWXX7NXOjIjq16/fs2dP5YXHcoWiwUfygngcQTx/1vLDa/ZjWwzD79YPvovpA2otRELoKSSBINaPi+jcMmnBqp02u4tPFxBrtYPpleAhczLElsmxp86etzpcMkXtIhfatcH3N4yyMwgBELHE6jh3vrRJUiQ/YJFE0X+lASfOKhiRG3DzodQebRvERgTx3BqoWmGDqkGuqkaojE4yTnuNBUebv3rSsfVnEgVP3/KrHgsR0dOnzAMicrvdbrdbFEVBEPj3VZ86z7FBABBEy1fPOI9sMo1+yDBiFtMZJdOxVkQsr6LIw1PAgkyaDk1jyxziqs0Hy0Wgv65TRJ7/KaJIiTGhJoNu17EMIhHB4/EQK7dSq8NsI7kcARFAQbE5Izu/f8dGSMDrAQl++5j5tgMAwAMp50qt9s7NEgINWtl6EDmdtuY9H+VV1RAAUB1dH+542rLwJfM3T4tOu+6GEahWe1VVo3J191oWxZ49e1avXi2K4saNG48ePXry5ElEnDp1alxcXCWmDF6GDBEJ5zNKv37WlXbIMPRuXb87+G+QexlrhVLFAOSyY/ws7duh8cfLtn76884RPduoVXxOfuriIiJkSKBABkFGbUyoccv+1Nv7t73whVfmqVaDOJAZtHzTp2UXEmB0RADXF0UCYJ5Aid+BABBIRPh927GEiJCOzRO9KuoxAKgVJ+glVdVA3bCdYeJzZQueL1vxLgJpbxyDCpD2FXlYzFe1IDw0rcTExMGDBwNAVlZWYmLigAEDACAoKOgaJ+u5qMhVWkQmZKVafnjVfXS7bvQMXb87UeNJEGC1Sg329qBCvdjQFslR2/anH0/Pa9UgGmpPFfxHID9agQgwyKiLCgvcf+IcgAioAJ4EW9kKWtXgOwCPSYYAeOR0TliwUatWEfBWGLLX1i/BxVR+sfV4Wl692KDm9aNqe0aXhaZ+y4AZ77LgSPOS1+zbVwLKPL+r7uAimXXypoiIiOjUqVOnTp1iY2OTk5P59waD4RrnVd4rBYEhMqEkz/LDy64jm3S3PWYcPJ1V3Cul9qFQ4OgebawOx9pdKQAkoj8HGjnvnggoNNCYGBl8OqNAlFpLcCOosuP6booSEBlJXmRAEI+n5YaatGoV47qsCJ6Ygz+Cm7F7j2W4RaFP+yYqpd/WNUYgpgiPDZj0gjI8zvLFk7bNK8jllKu7o5d+djEEQZg3b96gQYM+++wzm802aNCgu+++2+l0XjC6V6ura/QmlvdKAQDRWmT55AnX8d2GUfcbBk1FtdaP6dU4qGtjhYLtPX6upMyh8GMmktxciDFABYP4mBClUrH9UDp65nxt3qRyVEvIVwp9EgDBicz8lsmxBp2WiwGpfpC/1qJihG5BPJWRB8R6t08GPxZdhITAlEnNjeOftSx6ybL4FXDatDfehGpdeRHSioCIAwcObNGihecnJpNJobhA8HkSNy6q/nBV8wLJoyVkny5Z9KKQulc3eKq27x0ySVSssOp8rYOAdDrVqJ6t95/ITM8ubNUgxm8DjSgVPOF+WIwJManUcPhkVtcWifLLquTMfS8OPOwjQsjMLc7JL+rRroFKqZDCI1KMpDa8R1cBBCgsKcsuMDdKCE+KDfXLOUqQErQA1Y3aG6a+XPbl02U/fwgKla7nLVKhhss8YsZYmzZt2rZte9HPL831qoTTVL4oCjlnLEtecx/bbhg+Q9d/AtObZA+znz5TJCTAYTc2/3nDgYzswlbJ0f57FEiNPCShnxgdotWoD5/J9nq2lbTIq4OkjJLbACg7t1SjUYWYtN7ubv/lJAKIQOfyiwpKbLcPbKVU+G+xbSKxnOHPO8He8yYERZq/m1O2bSUiXLliUoWv4KJeuBde7qrXFj+2HJaS7+bYD20wjnnYMGIGr3EGIPivWggS8bddkxidRrPraIbLLbIqFWutRhAwLgq4ny4qNECnUO5OyQQUScpZ8BvegQwEgL/3ntJrNEEmAwDKqQpS8ZJqu27VQJiTbymzOwZ1aU7gi+yK6gFekD2BAEwRmRQw6TlVXGPzp/+zbfiBHA4kTwDn2qqqXbpnLy/BvXulAAAhMqEgq+SdWeKZA4YRM3X9J4HkNQIEZdVrnFUnCIgMWnWXFgn7Us46XG6/7YjlicZwsysmPDAgUFtSYiu2OJA8FX0rM3I1uBJB9KRUnc4sUKsVJoPG51epJjicrrO5RfViQuvHhoKsj9UVKOu3NIx/Whnf2LrsHdvWn8ll97iYuWfxmrpdXQVIbi7MnUVERO5zp8zfPOs8uUvb/059vwmoVPvuctUNBCSNSt2yYczhM9mWMkcdevvJMWEut5CZU+jxK/iNscDNMCQA2J+SqVEpAgza6rhKdcBqd2fkFLRvEo9+fY5VDASmTm4bNOs9RWh02bK37NtXAjDZ6XSlWENVLgkAxLtUAor5Zy2L57mObDGOuk8/aCq7IE+xDoCAKRXQOCFSFGnf8XS/NRUvRcvkGLdbyC20QLnDwz+MBQLGY+CCCNmFFoNGE2is9tJ3voLN6Tx7vqRjswRAEWQGeF0BT75iEYmmqa9iSEzp18+UbVmG5Jb4fz7PtyAEEJFXwiSRnPaSr552H9umu/kR3dC7QWcUAQh8QHOuMSCIhCw+MigmPHDLwczans41IDo8yO6mtOwC+R1XsvhFdWU0AkBaVj4BhQQa6oyMBTibXahSqZPjwxnnddWhqQN4iiAoY5NNdzytTmxmWzDXtuFHcpRVSwcXBJ4FRAhiXkbpO/e40w5rh0039B2HPL2u+muc+RqIALHhATGhAX/tSqlDL79JQjiQq7jUhlClI6w6fAdSpDEr30LkDguuSqfNmkZKRl5iZFBooJ47yKgqnX9qAeULWNWwnXHSXIyub13xnm3rChLcMm3Zl+DER+HcKfPClxzHtxkGTTH05xxklPrc1qEtBcCfT3CAISLElJqZl1dkru35XC0So4MdbsgutIBUKLSSz706iqNJp9D5QjMACw0w+rnCjTKRjxGlZRXEhAcHB+hRym/x87lfBE/oERGYKqlF4D1vKUKirUtet0tV1Sro4HItVdVIDiWAzIdlQsl566JXHEc3Gcc8ph90FxoCZc8382eWwWXARBBVClY/OlShZIdOZvH7lZ+Y/yLAqDNqVWarw2Z3QhXmWj2uRBAIILugRBTFAKPSn3VuRBRFztoR3QSZuUWRoYZAo4ZARJ9r1zUORWS8/s4XFFFJls+ftG1cRm4HgiDLCwAgIHbVNBBPjTMCcvOYpVhcUPrZ485Tew0jZ+kHcw5y3QVn9TBAaJYcp1IqTp4t9Arq+ftSaFovotRqN9vcIFY+6baaaiUiABWVWIEgJMjk+0v4CPyhMcbrMmNuQYlLhNhQk1alljPD/PlIuBqgJrGZcdzTisSmliWv2jf+SE6n58BDkIoWX9VIvHiQpBUoEZj77MmSzx9zn9ylHzxV33eiv2+Xf0Z5OD8m1KBgbO/xDPB2wPr3Wgg2GcxltjKbQwr++k2gUWqvk5lbTAAhRq3fPkgiKQ2X/yMjp1CnUcZHBwPyQ9CfaxNfJZAA1Q3bBdz1qiI8wbLyA9vWn8GriVN5J9OrGYuXMiEgEt05Z6xLXnMf3a4beo92wCTUmUSvZNa6ifKyJ8kJYSqlKiO7ADxcWr+XdokxITa7y+Z0yaqBvwQaERCRxFK7k0gZaNT5swXu3VWhoNSpVSojgo3S8cmzx+s2eKwBlXENA+99WxkcWfbtc/ZtUlU1EeAa2kYgAglSDrXLafnmOdvhjfrbHjIOn6HQmzhNo0o91/0AKNVOBKNOHRsWUFLmzC0o9gTtCEX/XccEKqZ0uQS3y82FcuXSMasjsgACkMMluN2CTg2+7T/vW3g7xUTAk+nntFp1bEQw+m8hnGsFd5MSEGMRcYaJcxRJrcyfP2Zft0h0lPEOLle5agiAkCGAmH+u5J27XRlHTKMe0PeZKDORaqRXSvWC34mIiACsaWK4zeksNDuJkACQpALLfgqE9s1ii8y2YqsdAT1phNeKahHnDKCwtMxS5oiJCPRr1cCTOY4AQHnFVpVSER6k9/y2NifnM0gpZQiort/aOH62Iq6ZdcV79i0ryG3nocBye4l/LY81lD8B7kV0n00xL3jecXKXfsCd+r53oEpT/vyqEN/yH3iccMkJkU6H+3xhKfLs0GohdfoWyMWyKNXv8w/tAADkhHdSMaUfpysBcN+61PkHS8scWhULMnnq//jzxK8SeNH3qgatjbPms7A4609v27euJGTlraUkrgVKkVfpT0QAgSvMwvlsyw+vuY5s09/0gH7QVK9eKSj/718AvpEoJjLE5XIXlFgBwKND+fMd1osKyS8tKzKXIXJp7jfaAQDYnYLLTSrGrU2/BXLfAREUFZWKAkSFBfESw/6ciVtFqMNjAya/zMJiSr95xr55OYhuIBQ9VdWQCJRSfXkAAAagAGCizVz6zWzX8W260febBt9dAz3Xax6yWoQA2CAm1OF2l1rtAADA/DzqTEThwQanS3SLhKC4oGvftaCaeAdQVFJmKbPXT/TfWoMAIOWGIyCC3SWKRJEhJskt689CrEpAIqaMSw644xlVYjPLdy+UbVgiOsqYvNwRAFAA5Dn1otQrJfu0ef5M9+kD+qH36vve4TEravdOfAvykDGICCgsUOkUqFgSByTrTv4KRABkQEii3G3Bb7QDvsc8hXH8+DEiSKm5UGS2CSJFhhgAOD3Zf4+CqoE7/FDVsL3pzpcUsQ3KVrzv2LKcRFHW4xClVm8ipxyJ505Zvn/FcWK7fvAU3YCJqDX68zlZaUhLgWuMgEmxkW63UGKxe33Ej9eEpMyS0y3KssA/tANeY4t3vRSBoV93FpZ7hQHYnC5RFCPDgqSfSwFIvxVklUZ5BxdVYhPjPW8rwmKtS151bFspE0aAEEWZYkzmYsuil51HtxhvfUI/ZDrTBwAS+bcFWGl4XKpAxJCQRIRy88GvAyeIahVLjAlLzykQRLh8Zbx/QLV1YeLiCUVWhX6yNQFP8IgQABRe4QS/rgBfWRCJ3BLmb0kdHmecOIfFNC794vGy9T+Ayw4gIDAEAQDE4pzijx9ypO43jLxPP+BOVKq5c1Huk+LHr7VS8HaiAkBwQEBxqc3mcHJPKvqxdoBAiEylROLcCH/qswAAYC2z2+3uQL3e57pBfm5W+qnj8lKsygFOCCQiKggRSBQE5CFmKaokAvgm0pySkpKSklL1cS7FTz/9dK1/ckkHF1QmNTeNf1KZ2Mz605u2TUtFhx1EAkD32ZOlnz7pTt1vGDxV3/cOkJu4ISgqLQvWrVtXib/6Rxw6dCgvL89Xo6H03ll8VKDF7nK6BHmb+EYaOByOQ4cOlZaW+mQ0GUgkYpULdFRLgjMQlZa5rE5nVJhednL67H+nTqbs2LZFFgKokCND1/4/AEBGIiASYqHZKhDVT4jwpqj7RDlYv3792rVrfTHSxXj88cf5N1WMgygbtAuY9poyPMm24n3H1pUAJOSmmX+Y50zZahx2r67fJNT7plfKhx9+6JNxvEFEq1atOnXqlE+Gqvog/wiLxbJ69Wofyi/wmvml5xcR7dy5c+nSpenp6f84TjU1ZRMJAAEVpPC50u122l0OGyMihgAoVKUQKwKKICJDcjudAogQoFfJdA6G6JsWMXa7vZrWWUlJCf+mKsWp+UmvjGlouvfNkg9nlS54Vl8SGQbnXUHMeOsT+oGTQXIq+OBstFgsVR/kIiCi3W73SXfZCkpI84DCJSXnKw0iIiKbzSaKvtSbPd0wLlpofOZbt2596qmnHA5Hy5Ytx40bN2rUqPr16zPGLm3be23i4Pfff//HzxAAAR44medyOU6cOOQoTAVfep4o9eTJnOysPTs2E/eKIVYycQYBOAWHFAyErMxiURS2b9uaeyYIpEaivpn08ePHiehqHt21wul0eoa99nZJ3pBEqiu0a720zDsDcpwCHA5v63CE4O9/yL/1wdM4f/58dTyHU6dOGY3GsrIy3w5bUlqSne38+++/9RpfnpolJSWnTp3atGlTamqqD4ctLXNYrdbU1NN//uH2aiwKAJCSkiKKoiiKBw4cOHDgwOOPP56cnNy3b9/evXv36tUrMjLS88lru8/jx49fxacIgJ3NsbkFMS83W2Fl4LuthQAF53NLSwoy08+Qb4YlAIZARcVEwNLSMxzFOfzApAsIvJWdMGJeXh4RXd2ju7aRBUHw4bAI4DqbEeF0gpo5RfHs+cLCEymg1AD44DlwWK3WlJQUn+tKBQUFGRkZKpXKJyN7BKvdbi8tdZ08eVKjxKpJ2wtgtVrz8/NTU1PNZl9WWypzik6nMz8//3iK/UJpALm5ud7KiE6nCw4Odrlc+fn5Foul8uLgwQcf/MfPcP1k1eYja04u79bzhpbJ0b41Fjav/TPtzKlRt04QuYIkytW9rxFyn2kiREBQbDiUsvbA2LG3t20cC4Qiys3FqgzGmNvtvppHd6146aWXHnzwQU9GZuUHIgAEoSDL/MVTrkJxqTWsqVg4JKDA2LGBtufN3BqryoPwKNt//PHHAw88UIWRKkZxcXGfPn169OjhwzGJ6JeTHzaIC73nnpG89q+vTIb8/HyXyzVu3LhGjRpVfTQOIiostfxy7LNOnVrcP6GfUnGBFYCIXCnr0aPH8OHDBw4cGBgYaDQaDQbDRfaC730HKFsGSChzEHw4OCgYU8nucRR5a5TKvCTZl8h4GJ4xBATJBOU1cXhwocpgjCmV1dILU6VSQWUEgSiFzBDdgiAKbqVSBbZS8+dPOE/vM9z0cM6uswEBytaWfSXfzCYmaruORIVa+gvJOOUW2tWGkD0z5BP2ORQKxaVm8LWj3AlFEn2dl4DlPAtfdg9TKBQ+7kWGCMSIt3Kni1kHPXr0+Omnn2688UaT6R9qEVXDMkUAIL1WrVEr8ottvu25RAAJ9RsGh4RJ/T9RYtVUfkAiBYAAEBJoVCjYoVM5HZongvTu0SctW7t27VpNrsQnn3zy2v+IgBgBINKBA3vXrlufl5vXr2Wj1ulrKeOoftjdur5j2e43FbENDB2G0sIXLYteJqdT1200arU8DoWSg+3ath8/GCZOnHjtE/5n9OnTJzExscrDyHQKkNpX8Rp/fKvJy8AHi9lgMPTp0ycsLKyK43gDQQQEQuahlHLwx877cV7NIqyWUwsAAkw6g05VUGz1OZcnLiEJEpI8q7IqkEKURICoVjIEJMbQS3755ERo165dNYmDWbNmXeufkLS66eSJE7Puf7Bl85bdkqPY6vcFpdl488O6vncwnZEIAZg6uW3AlJfNXz1d9vN7AKK+z3gq3xlUuVjDmDFjrvVPrgbdunXzzUBc+kt6IxZZHI0UqGBIJCIqwBfCgIh0Op3PJuwZFniVO1GU/Tz8Vjzr12azpaammkymmJgYpVJZWFiYnZ0dHR0dEhLiPU51kJRFAGS8VC+rnF1/WUj5RVJ1QwJEsQolalAi2SFKQhVBFACYvCaqKgu826JXbaSrusrVfBgJiQQG8OPiJZFhYW+9+NwQ98kWKsvTu/I3KxNRZxIBiQk8PKSIbxIw420MibEsfrVs6wpEWSCAzNe66ulV3xPwvvEqil0sN3MRQUzPLQwPMel1GkQFUHlr8qpdAqs+zwoHBgTkrFqSy1zJICKtVjt69OgJEyakpqaWlJT069fvrrvuKi4uvmiUaiEpIwARECCQSD4w6rxBACCKIiPgTKyqGI1UHvMgtZIBQGFJGWHV1Q4AWQp4vlZ9wCtcBa56vxEQItjtjtNpZ1onxtg/e9SVdkR/80Pr7UH79h/ghdCZqEAQuctHERYXMGmOKqFp2edP2tZ+T04bZ+9ffVU1z8Sq6SF4j18VoUMAUsoGEBIRiSSCotwa9TFNwIejAQCC6HS6T57NSYgOVSgudtDwyz311FM7d+5csWLFmDFj7Hb7q6++Wr9+/Ys+WR0ZjbLTCYkB820iEMkGnihVqKma5wCBGDIQicCoUyoRM/OKpNliVXN4+Ttwu91nz57Nysqq/CSv4irX9HkCtFqt0WC7MXeLM3W/YcCd+j53NGzUKCPzLAEgiYQEwEASi6is19ww7imW2Ny6/B3bpqXksFWug0s1iUW73Z6enl5SUlLlPUaECLxtCdK5fDNDtNusLqcLkUS8+gr0tQIERAKlTq1E9Obdyr9GHDFiRJcuXebOnXvw4MEXX3yxwkBMteQsDBgwYPpdUzLT0//etPXl2Q+cOZXibYZf7rF6IhAoc6yYZK3JpWH5fSKs/X3lC0/cdyrlyOVWpbeFwot6ylO7gKRMgCCSKNK2jWs+evOlMmvpX+s2ffH5Z067XfYdVWkFHDp0aNKkSUOHDh0+fPhjjz2Wk5Nz9X/7jzvn+++/79ev34YNG/55pAvVHQQ02AunRFgaqyyGEbP0Ayej3kTAZH6BTHADZBJlkakbtA28921FZJJ1xXu2rcu528ZrxV1VB5f58+fffvvthw4d+qcJXy1cLtfixYv79u07fPjwoUOHfvXVV1UZDQEBBG5B5uTkPf3Cq4Lg+v7bL8ePH5+dncUAfHKq8dd67NixcePGff7551UfkGPatOk33XQzgvj88y9079595cpfZJpd+ZwRUaVSWSyW+vXrjxw5ssJxfCAOLlq4COLOXTv79+6RnBBnDIm4dfzUqJg4gPKT4XJKHZMFMBEv10eCtCRFXsKMCAGw8HzeR2/PO3n0UJnZDCBU+JIQgBEAECNCkVcTvvRjxIgAoazM+tWHbw/o388YEFhYXDZ//ruHjxzlHuYrr4ArW60ul+uZZ57RarWbN29etmzZ9u3bv/3226ukpl5Z7y0tLZ09e/YXX3yxffv2goKCCq8uQwROq0ARiNfYJbLZbN/N1eecyO9yi2HIdNQZiai4uDgmJgaA96GpYJKKyHjD9DcU4XHWb+fYNi0nEpEHeUEWrZfp4EJEubm5d9xxxx9//LFnz56qcG8uus2dO3c+99xz06ZN27t37/333//EE0/s27evCoMDSAk34quvzvtx2a9Gg37atLvOn8+7554ZdAn/t3JARKfT+cMPP/zwww8ZGRnypa956IvW3ubNm0PCIxng2LG3vvzyS506dgbJ+yXtO5fL9cADDxw6dCgxMXHHjh179uypcFgfiIOLFgER6vX6zp07GwKDTAZjcrNWOr0RwOvQuYzSKPA6NJKHT6ITKAQSAQlQBJERlVmtPy74YvzUGUQgAhIqKvbuoOzsQtkbzv2sF/5PBBARivILbrp98g3dexv1Gn1AiN4UVFBQANJErurGK9y9iNi9e/dHH33UZDIlJCTcdNNN+/fv57wGTlz/x5Ev9xmr1dq8efOlS5de4eoSeBc2fi+oRGBCblrxu/e4Mw7/7o6at+aY2+0EgjNnzhw8eLBLly5XHA3VEfGmcc8o6rcwf/usff0P5LBJWgI3Hi7TwQURCwoKhg4dunr16ivc8tXgoonp9foHHnhgwoQJSqVy+PDhCQkJVUkVk/VRsFotrVq1vmnsFINO1bVdy5vHjPnrrzVYdceyjO3bt585c6Z58+ZeeUfXbEZ5Pwr+fXB0/YgQ041dOtzYvUdUdKRn9SJiYWHh3Llzf/nllxdffPGTTz5Rq9Vvv/12hZxu3xsLuTnZCHDubFp+XnZeQUlBXrb8GyIprlfxCSnb6p7ngoAg8rdEwJCJRHt3bBIE14ChIwCAATGq+AZEkD0LyLzqSF5sLCAAEiUm1h80cozRZIoKNZptdjeqw8PDrimQeZG3jH9VKpWPPPJIs2bNiMhut586dapZs2YKhQK8rKGrHBYuFA2RkZG33XZbUFDQ1TjtEeVeKUDusynmb+e4T+zWDZza6t4XDqecfv6FOUuX/Th79uxevXrdcMMNV5wbEqAquU3AhOeVcY0sP79n27SMBOfVdHBp3Ljxbbfd9o/3+4+4aM+0bdt2xowZ/JGmpqY6HI7OnTtX9RIIRqNp8uTJQVFJapXKYSnavn37sGFDqjisB0VFRa+//vqYMWPi4+N95UwpLi52uYSw8DCL1bLy55+PHj0CAN6K7b59+44dO/bss8/edtttPXr0mDRpkl6vT0tLu3SoyvAO8vPzL80nZYw1aNAgNDQ0IzPj/Pn87779xhraqdBhmPfs/x588oW4xCRv/aDik88tpKaecjptiEwkkSERIUMwGIxxSckiiWZr6db1a4aNmaAzcHIVlysVBIMRGJJICEQiI8g7n1OQl3uR5q9Wa6LjkrQGnQCkAPj1p+/3bdpniGs3Y8JjLVq0lJwWl1cQiMhqtZ44ccLp5E0yyw/V2NjY+Ph4z8cQccGCBSkpKbNmzeJr98pwu91paWkFBQUXmVcmk6lBgwZarfbSYMplj3QEIBFQQSBSYZ5l0SvOlB36sY8Zeo5ro1B98+2Cd997Z//eg527dLr33nv1eqmi/GUsGqlppTKpeeB9H5R+cH/Z0jeZSqvpeQtP97qCVGKM+WTpeyI1np/wf+bn57/yyiv9+/fnCk5lQTKhFonoeFrWubNn7542ZVCfG+bNe5Vfv0qzByCi2bNnt2rVatCgQZ9++il4ifLK+Sn57RcUFLhcjiVLfw1seMPevXsWffrGggXf9OnTz/OZG264oX379nq9Xq1WA8Bbb73ldrt1ugqK316bOPBcfufOnXChkqNQKEJCQkJDQ5s2b7F127YGDZLvf2fl6i3HBIC///hl4tQZxBhjCjnQUMEeJsGVnnrCbC7hhX1RPsAjomJjk5JBpJVLFhoDg+s1qO9wOIjA7XKJRExRQUajSIISZUckUH7++ZRjRy5iQOgN+qDgYL1ej4ACiV179C5RxqzcnvL+J1+1axTdtk2bKxvwiGixWPbv32+1Wrny7/lwx44duTggotLS0hdffPGvv/76+uuvmzZt6v2xy40vCEJqaqp3bhJ/zlFRUXFxcRqN5hLr7LLzJEDgvVLMxebPH3elHjDc9JCh3xRAYgCt27b66ouvysl4/zAakzrYEVOERBrunGv96lnzN7OJRG23kajUciJMxXrFtYRCr4yLZAER5eTkzJw5MyIiYvbs2Vcjba8wticq7BYpPaeoUVLMYw/OfXv+O4888sinn3yqUFZlcCCiP//8c8OGDRs2bHC73YIguN1uh8OhVqur+GRiY2NXLF/xwcp9qXll7z9293tvvPTIw49u2rLZaJCMdJ1Oxzc/v0GDwXC5oa5NHPB5N27cuHHjxpf7jMlgbNWylVqtTIoKUyDGNWxVXFRotzt0RoPX+VCRkanV9x48jHMWEBk3eSVeCFBeXtbyxQvadOj8zafvIVBZmXX1zz/GJiZFxsRfOhRjvA4CcB22WbOWTZu1rNCyFQHy87LdLldUbEK3zppfdpw+fvrc9m3b2rRujVKhhsu+qqioqClTplzutwCQk5Mzb948i8Xy+++/R0VFQUUm36XQaDQDBgwYMGDAFUb2xiVnZvmcuRrmPnfCvOglV9phw5Bp+j7juKGPKCKwi2TBFWZFJCIyyaMDqI5vjOOfMi982bLkVXI7dN1vRo3OayhJEMuz8CW8qRbbt29/7rnnevbsef/99/8jIf8fwQkzNpt1+57jDpfYuH78qFGjQkKC+/Tp9+wzzyQmJVVlcKvVumDBgsDAwLlz5yLi8ePHCwoKoqOj77vvvipMGAFAq9U2b9lc8XuKRu1Uq1U333TT2r//Pp933ljPWOHnr3B++J6kvHXrls8+++LFl18KMKgA8eSpM907ttRoNP+YvIDkKeYrU9mAq6FEgHqD6ZFnXvY0CPn791XJjZroDSakCkrYebtdJT53hVcEAITjh/dvWffX1Fn/iw4LYahQaI0KlRoqy8P1QBCETz/9lDE2b948b4K6NzGpKiriBTciR1Ll81mU4qjIhKwzlsWvuo/v0t18n773BNQZAfidX1vBr0uqqoGqQWvjlBetX88uW/kRokLbZ5zcrQg5lQe90sAqVPLB86Ir9RxOnTr18ssvT5o06eabb9ZqfdRLHrGwsOjz75aW2ahVwzgAKCgoBCCsMptOpVLNnDkzNzeX/3PLli1JSUk8m6CKOHny5AtzX9xbGtuyeWOjTvPnn38GBwdFRkZc7vNX0nl9zgwRBKF585YajTK548DN6QqDJeXRGRPrN2yCiKJI3FN1tRdFJFFUMEQCQaKNIQAgCXeM6Pvos6+17dABCcXK6loMQATmsJofnHabKTi4VbvOW7OM4Sb158/d0bJpMgG75Oy8Bjgcjujo6Pj4+KioKH6/iYmJ77//vkajqcRo3ttp3759jz/+OBGtX7++efPmERERzz77bLdu3aTWV6x8yqK1qOSD+13Htutvn23sP/EqqYTPP/98kyZNxo4d+4+TAiChILf4/RnujOMBk1/W3TiK54YzifAJ/MT98ccfP/vsMyLaunVr8+bNg4KC5s+f37Rp00o8B298/fXXDz30ULt27Tw2QufOnefOnVvFYYmEuZ+tem/p1t4JrmiDe8mSJbfccsv8+fOrbux4v8Thw4e3bdv2hRdegCse11cein8VRfGmm0ZtKUlOClPHw5nffvn5+8U/jBo1ohJr1/fagUKhWL9h/Q9LfthxNIuYotegUQ0aNSFCUeT5QSTfyT8PxUQREXlaGQNGJKJEQ2R33/94vaR6hEjEKs0PIQBAUWM0znv3q43r/sjOOheg0xqD43TGYCCeHFb5FaBUKt966y3wetlBQUHemc7XtAi8FYrIyMhx48YhIv8KANxNDUCESLLPTzifYf58tjvzqPHmR7V9xnMWl08VdyRCRWhk4MQ5pQvnWj5/gpxl2m6jmcbT5FLiNTZt2nTcuHEAMH78eH7XoaGhVeQUA0DXrl3feustxpgnoOPx4FYBJBIU20UEFhdmUIr2d955xydhEbjwWH7ggQc8D6ESz8HbHcMY++rrBY1veVWlEFs0afLU/x7t0LFj5TZF9dDpCQjoWFpe35kfdmuVeNeoG+TVfCXfQQWTkwYD2fvIgC5Y1cT5NZVcVMiIEEngT5UQANbtSlm+/vCCOeM6tkiUi9X73vSFKvjVLt1F5QPyMrAAQCScPVG6eJ5wao9+6D26fhNQF4BchfepdiCFX4BcqQfNC+aI+ecMI2dqe9yKaq3nXRNVY/6SfAlfJYkRARUUl8149ceTGXl7Fz6OvhzcZ7h0CZ3MyL3x7g8euu3GJ+7sDwCVXrTVkbMg8VKSYoIUIBYWl8El8aGrfLzcb8AAGCAjlNjGfMUjL+JBxCqdW0IEIMpJlwQCINaPDSstc2ScLwLelszXsgAuzyao9J977C/JkgIU8zKti+e5U3YYRj+oH3gn05ukYrY+lvzI6Z4EqKrfyjjzPUVkonX5e/Yty/km4n7cy/smyZumUQl403gu+kllRgNui7Ls/NLs/JJurep74uHVcWReNGblaEievzqTVaxkEBZkIICqNBCrjpwFBABC0GvUQQEGq8Nls3ki8wwQEdlV3zsSYyIAIRA3NAB4v2oSUQnIf1H5qSIgkYKIRGSgEEHQ69RhQdq9x84RUdWr1l9wLa+FVfVos+fPvb+XlCm7peSr2Y6Tu41jHtMPmooaA0ikQR8LN97BxSPb1WHRprvmsch65gVzyjYsQdHNswAvt9A9SvLVP4SLhrpoS1zTUBXMByQXdG6BOa/Y1qtjYwABZVQ4gargMs7ga/tbzzfpWflKFYuPDIUrcWX+GdXRZwFAUkqxQ+MYu8tdYrEBEJP6f4ooXoNJLu8imWkrB88AqeJ0hWuEiCACAyQRCAl1WlV8ZOjOo+kkEiD5UEmshtg7geTcIDmfCN1ZqSVv3SNmHtOPmKnrfXv5n1ShV8rlp3FRrIEpo+obxz+lqtfSsvDFsvXfk93mbdhJ77AKTfoqfHo+1OSJoSjSmewCi7WsXcMogouJBv5kNXhMbwKAYxnnVQplRKiR775Kb4xqyWiUGQPUICHK4XCUWmyATGr7x7Pmqi3/v4rQaZQJUcEpZ3LOl5T5Li27WiBzgst3uTszxbzwBeeJndrB0/R9xqP6n3uu+1oNJlWDVsZJc5RxTaw/f2Db9BMJTm/6AQJRZfuF1QAQwO507TqS3rReZHhooP9s/Yrg8WohAaSk52iULD4yBGT1oHLvtXoauktlZaht49gyh7vIbJXLEhByJdFfu90xxuIjApUK5W9bDvpSN/A9CCWNS2rKJxblWha97D62wzTuKdlf8E9D+L40CyIwVULTwJnvKMNirUvftG/9GSSx5Ulw8mMpS2R3uvecyG7fNFGjqnzEquZAQECllrLcorIgoy40QCubjpXUA6vHWJAigqxpYrjdIRaV2kjybxBw/dxfNxoiiwozBZl0y9cf9dSZ8ksggIgAjCdmFJ8v/vQxd9pB3ZhHtP0ngUpL3Dl6GQiCcPr06enTp48YMcK3CjCXTSw01nTnXEV849KvnylbuxBcNgCGUuNTPwbS8TNZ53IK2jSKVSqVfj1Zj88IIKfA7HS6WjSM82yxSqN6NDeuECLUjw8P0KsKzXaXW2QeL6O/WgoAgESRoQERIQFbDqZm55v9ekFIvnAQzp4wf/KIO/2Ibsg0Q++xiMBZQHh5J+vx48dffvnl9PR0HxYj4UCeTQqgTGhqHDdbXa+lbenb9vU/kKMMgFE1BG59Cvx16/HE6LCG8aF+rRoCcL4up3acPltotzlaNYgCZF5JpZXZZdUTaJTdAwhULyY0v8jicLo9AWhWnovgdyAAlYI1jA9DhDU7j/vz0uX6lpB12rx4nuPELuOwe/T9JqLWJBG7rxhvMplMU6ZMGTx4sM8n5b3bVfVbmu6ahzENrL9+bNuyDLjvwF9fPQDY7M6f1uxvEBtWLyb0csna/gFZ2SYAwHN5xWUuoXlytNRRUvpMZdZuNYgD4sQ4iTHbNDEqt9hidziIMSbVoPTfsnO8qnrHFokKoD92pHB1plznJhCr4LatGsRy3zyfKjLRZrZ8/Zzz2Bbj2Cf1Q6ajzsjXAErxv8s+5Pj4+G7dunkoklWMgXuBH/787SICU0Y3CJr5riI0xrLgBUkiEMo+cfl+/qmqWnWAL0TpPkXpR7uOZZZayhomhIYEGiUKu1+Cl3/nZdMFhLTsQrvN2aFRPBDwHS0z964Z1dR2RdYJEdq3iFu5+YDNSURSLwtEEf4pnam2wNMfokOM9WMjTmcWHE3Nal4/WuGVqIcAl2YBVj8IiJGUk+AGZAAo5GSUfvO0+1yKYcyjut4Sg5B7By0Wy6lTp3ghBm/wHArwIrfyn/N/5ubm8splhYWFOTk5vKRFXFxcFbODWHC4YdIcy3dzzZ89QbYy3Y2jUauTCQu8jiNDXxOk/hESYYsvREQiUSRY9PtejUbbvU19JCCe8emfkJzAAAhFRaXpOYUN4iMMeg3IoSaquDDVP6M62q5cwIRtEBvqFsS8Qkt8ZCA/OXzWv7UagMRbydGAzk2++W3nkdSc5vVjAEBSg3mJ4VqZPo/PIgAqEcCdccz8w6vuU3v0I+7T9bodlVItbb6xnU5nZmbmpdWvNBqNpxDDJWnRsGPHjr179wLAoUOHsrOzeRH+u+66KzY21jNy5aauTmphGve0ecFz1p/fA1HQ9boNVFqQumBKBKlaOBxkFgsgILCzuYW7j2YkRQV1bpF0SVszfwPKleiwyOLMLiht0yi6nLxfBVZ4dYgDDxVCRIRgkyE8NPB0Zm7HprGibNsgVq0gejVCBEBgrEPzhAW/7dq6//SgLs1MRq38dJmk89QwCCVOFAGB6D5/1rL4FffxXbrbHtP1GotqvSiFaxR8hwcHBw8fPvwK41VIs+vduzevJmS1Whs2bDhq1CgACA4OrrJlhwSgrN8q6P4Pi99/wLLiXVCq9H3GyoKVZ0LX2vaT8rCBth04U1BqmTy8r9GgBV90WKlGyI4DRCix2LLzzRMGdwBfiLBqasomAjKuawUaNAnhQek5RSSKTIFidXHAfQOS+f9aNbZrmrj16NnzxaUBeg0xzwaqjXWLACQAKglEsFstX852pO433vaIYeAUWVWRcrG9uY8VqgD85w6Hw+122+12IrJYLIwxvV5vMpl4BRGDwRAQEBARcdmE+WuElGGJwZEBd71i/vyJsu/moEKp7TYalSoRgNWGZkDAbQHeuAOsNmHroQyny3Vzn1YAFVRh8zcQ8YQRKCyx5heVtm6cUP47vyIpX4TQQEOD2NCTmefdBCTyFCT/fcwIUv12AVinZnHZeUUb96dJqTpSTL0WbAUC4GQ+Iet0yTv3uM4eMw6foe813hPEQaIK85MqXNNEtHDhwkcfffSvv/5SKBSPPvro66+/7nK5rjSBKslvmSRHTBFdzzD+aUW9tpaFc23rFol2KyOE2lAUPX4B3pAyLbtg97GM4d1bRYVJZET/XaMgUboIgYh2HMlIjAkPD9TxfN8qopq0g/JnqdOqE2ND3G4xI7ugflw4ABAAq6iEkV8AiUQFoQiAcZGBSTGhX67YOmlYJ7meR43pkETleqz0xZ1x3PL9y/aTuwLGPKrrdTtqJA7y5bybl5O6iNilS5d69ep5fmIwGK5cZbDq9oLsukN1/dZs8hzz18+V/fIhIOp73w5MiejRukhqCcsT3qoPBFJxRwQA2LjnVF5B8biZQ7ySwP1zgQKAx9hGImHnkYxG8WEGrRrAB1OudnEAAA3jw01Gzb6UzHpx4TzrHtBPGaAigQKJQARQhQQYmtWL/mX9/t+3HhlyQzMCQimFr7pnIbvWUAQSCRgiEwvzzYtfdqfsMo5/St9rPFzch+8a5oSIzZs3b968uU/nfKULXvS9Mq6hYeZ8ywezrEteR5VO2/MWJBFRik3LZZmrd3lwb4ykHBAuXX+gRcP4JvWiAYGXjfBncYCSzUoC4ZFT58YP6aDj4qDKqIlQStPEyGCTbv+pbK4UIqHol7IAeM0lqXGnwBBaNYgKMOq++Hm33enipnlNzLu8aSwDVCIyoeBcyWcPu88c1N3yiLHPJFBUkxCvMaA6OCJg4guKhCal3zxtX7uIXHZePhvKO7hU78qUND1EAFy3+/ix1Jxe7ZNDAvS8oTf/jB9HwCRsP5TmEITGiRFatW+WRE2Ig/jI4JiIoJx8c2GJVTbA/fRByyuAMSIRsF5cWP348D3HMjbuO81DOzUxc+QxJJ4PTq6MY5ZPH3enHdEPvUfXa6w8Az99gFcHJEBlQhPTuKdV9VpZfnqrbN0PosPqKfKI1b9CeEAZAKx259wv19SLCevXsYFSwWT1TzZu/BMS2x9Wbz0aHmyqFxPqq4FrQhwoFaxTiyTB7U49ly+7vv17NSOKyBBQwXBYj5Y2u/3nTUdsTrf86xqYvMgdLGLWacsPr9pP7TaMvFfX7w6mNcpKrL+u1KuCVJ1BVb9V4PTXlTENbL985NiyXNIdAcppbNUGJJ5VS+t2njx46mznFkmNEiP51C5oRuuX8PD5ft9yNCrU1DAh0lcj1wjvCqFXqwS3WziWlivw2q9+6kiUKu2TKAJKHNWGMcGdWiZtO5B28NQ5EGvCBUryRMBmNX/znCtlR8DY2fpB05jWIJGo/Tjp4+og8RGJUBGZYLjnLUVkkuW7OY6NS0kUpG1a7VMAALQ5hB/W7FUw5bRRXVRK5QVcaX9+wIgEcPhUdnpeYXJcaETwZduoXCtqiIbZuVWyyaTPOm8uK3MQiX57uBHxjsfISCAEAhSBje7ZorDU/Pu2Y043VxAunXzV1075CHx0IedM0bv3OM+lGEc9oO11m/wbT40zP32AVwNeVc1DklCHxhjveEbRoH3p17PL1i4kp/XCZIEqpehdfhIARJv2nzxw4twdg9o3TYpEkGIZKOsmfisQuDG15WAqQ9axeT0fzrRGxAGBCDCie/OCEktuobVOLGQR5AQFoIjggBtaNViyZv+ps/kSWdgTiqeqO5w8UXeRpGQedGccL/3mOfHUfv2Qu3R9xqNK8hsjsLouCwAuraqGqnotjBOeUdVrWfbzB7YNS8npKteACORMp6o8Z/LKWJJ07RKrfenf+xmy/93Rt1zn8/rGn5+y201bD6YiKrq3TvLhsDWkHTCCITc0P19izisuJVT4uevAGyIxpQo7NElyuWnul38C8PifdyisgiaRVw/iKV2AAAyBITJ3Xrr5+5fdKTu0t/3P0P9OqW/Svx3qxKaB93+kiEyyLH/HtvknQN6Si+TUhqrHGvjuFrlDWCQ4cir3181Hxw5qHRVu9GNVoEJQalbBmayixolhSTEhPpx7zfgOCJA6Nk8IDzQcT81yO5x+Ww2pAiARYnJCSNPEiDW7UjbtS5XJ9qKn/gQv4VAp8NrwXH8iABAthZbPZ7tTDxpve9zQbyKqNP7Nj/MVEIixwNDAKS8qYxpYF7xQtn4JuZxy2T/+BCq/6qW6uwgADEgUiVxu99uL/46LDB7arUWtpaJUHnjsTE5WYcm0UTcwYD6s4lcz2gEikFqlvKFlvVNnCxxu0V8TRysAA2AEGrWiX+fGer36jYVrC4qtCIyAWLnTr9I3hNwmYYBA4D6bUvTeLPe5Y/rh92p63kaIBEj+mnXvWxASAFPEJJvGPa1Ibm1dPM+2diHZrQCsvERsZcHJbySNwxjAot/3bDuYOqpnq0bxkVAu1+sGnC73kdNZTqfQt0ND345cQxuTCDUqxY1tGuTmm7MLSmrmoj4Byb6l5LjQXm2SD5zIWLb+oCCKvFS5Z5FVZXwAAEB3Zopl0cvuk3v0w+7V9x3PtHp5G9ShU6vyKO/g0qC1cfJLyvjGtl8/tm/8EQSXp4NLlYb31INBOJ5x/sOftiRFh40f2E6jYeD/rOQLUVRatuNIZtuGMTERQRJrzUeoIVciICJjTetFRoabNu07XZcUYF53RkRkilv7dVAo1D+tPZCeUyQ5pKjK25XXAzLnlyyc60zZETDuGf3AyagzASCAUD098/wQJO9YAAB1TP3AGe9iRKJ5yetlm5chJ2VVxViQvogA4HKJn6/YkpF1fuLwLvFRIejz3lTVjwKzbV9KxrCeLbgU8+H8a4h3wCnWSTGhjeIjdx/NdDhdKCXGSHqg35oPvPETr+ilYnTnsI4HT2d9vWqn3FDpWpUDTz07aZ8jMvf5zNL3HhTPHjfc/Iiu7zhgUjYRghLwSjXO/kXw5h0hAGPBkaZJc1T1Wpq/ea5szQKy27C8LVZ5VbWrlBEoeSQZkbjpwOm1O092bpk0fVQXRJEI5fH8Wix4RUXol02HDDpt24axAAQo+nCF1JB2wJ1voYGGdk3jy5yuQ6eyAAhEEaXMFb+2jwmByfX/mjeI7tg0ftEfu7ccSUdAInYtvCTiJrL0PRCR6M44bv7ySVfGYd3gabret4EfdyWpYSgTGhvHPaWq19K6fH7Zhh/JWYYyCUzOfbzqfDIU+Y4vLrV/smwLKtlLM0ZII0lKiR/nLEk8Tc8WoV82H26RHBMTHgwEnL3qq0vVkHYAUoI23NgqUa9Vbz2QSsAQEUUulq+uwXstgRFXBYgYGrSqAV2aalTK+179KSe/BKX6hVc1jschRkAEDAHF7FTz96+4U3YZR92v7zeB6UzVeR91DAhMVa9l4D1vKaPrl61837bpJwAmMxBQepDXiC9Wbtu6/8ykIZ2aJkVwrRXLmV3+ugKR+6ekmqi7j2ScOVvUsVlsZLBeatLrO6ZsTZ1FKHL9uHPL+rERgalnC7MLSgQgRIZEcm6Zn4Ir7CKASESADWPDurdteDYv780Fa92CAFdNXEZCXpwVCYFEspaUfP2McHKPbtzT2oGTQWsQAQjc/zzQfwP8nGDh8QF3v6mIbmBe9FLZhh9QdAEg7+Zw9WRtzlnYcSR93oK1nVskjunTWqlQoChH6FA+gP0SxO0Z+Ua/X3PQZFC1axSvUChlPpzPdOuaEQdctjFEEYHuGNi+1GY/fiYXEd2kYAj+7DBDBEEq/IwKSZWBYd2aNqkXv3rbsV83H3GLV82i4Ln03KmVc6bk3RnurFO60bMMPW9BXgsdEOlKZUj+U0AQ+T5VhMeZ7nha3aBN2YIXbH9L0UcCvPqqBAiUkVP4/CerQgO0U0d2jgkL5PoZgUQvRam3nV8CGRBDFAEgp6D4z21HYsKCOzRPAE/eZZ3jHch9IhgA3NqvrU6tSEnPtdmcDESB5w35qWjmywWlMBhKJQ9USsW0kV3USsUHP27OzC2+ej2TH1PujGOlC15wpu43Dpmu7z0elRoA3pziSr1S/nsody4qk5obJzzHEptbf/nItnEJuRx4LUyBUqvjs+XbDp7Oue+WHv07NyEUpb8mlF+u/2qn8qpAAFi760Sh2Ta4a9NAo1bmZ/nS61FTvAOpChIRQaBJN6Zfu5T089mFFmAkeYz9VThzM1UE9GQS8q/hIcbRfVqfSMt7/tPVQCIQiTK9vpxlL/8L5JWLyITzmdaFLzlTtptue1I3YBLqTXLpsH/oleLLm/Lbx30BykOPvBNs0P0fKKLqWX96x7ZpKYAI5R1cQI7U8KQPAhAlBZoAQPxr58mFf+wZ3q351JtuVCgVUpISAsoVUPzWUpA8TgQAaLG71u455XK6x/ZvBVQtZblqincAnkwxRBCH3ti81FyWmpmjICJGAFgr5XQrCx4poXaN4rq1rvf71pR3Fm92uF0MAFCUnTvI1ysCAhKQm0fFxKL80i+fcmUcNdz6mK7fHaj0TU2rCyZ3ma3u/XOz2fzLL7/Mnj179uzZW7ZssdvtPp9GdYAFhhomv6hIaGL9bm7Z2sXksl/Y/Zd3cOF7myH3/iKdyix88fPf6sWEPjW5n07F82Xq0GLzTNV99PS5QyezR/ZsHRsZVk13UEORBWnykiqAjRNCO7eot/1QpgC8HGBdOa8A+DFOxADUGuXAbk2b1o98e/G6FRsOu9yiVHlPKm+G5feFSgTmzjhe8vED7vTD+uH36nveXk2u7AotSe+SyoIgvPLKK/Pnzw8ODlar1Y8//viyZctE0Z9DvR6gOqaB6fbZygatLT++Zlu7iOxlnqRSnv5NIPEIeAHWtKzC+9740eFyPTK+d3xUMEmfqTOLDQAAEJAEAfefOFdQYp06qjOrNh2yhlyJ8maXLPDgAGPvDg0ycguPnM4BUIBXON7/wS0BEQGIokICbh/QVqtWvvP9ht3HMkGKqMrJ0Shx4YlEV2aK5ftX3Cf26IbN0Pa5HTV6EcDnfIvLSVXeOMDzGafT+fTTTz/yyCOzZ88eNmzYn3/+KQgC/4B/y2UkQFX9lgGTX1LGNrau+rhs009Egmd3IBcGsouxqNT22oK/9hw9d/fobn06NpLtvbqkG3hgtTt/3nikeXJky/qR3u/It++rplKYEABEkuw1UaXATi2SwkIDf95wCEEEYFJSWV0AN3nke4Gk6LCZt/ZOy85//pPfyhwuAFFEmdxCPEtXBGuJ5dvn7SnbDROfNg6+S6E1Io9eXr7neiXnhhdHaUiGpxeLUql8/fXXe/bsyT/AGDMYDCC/JH+O+IIUa0BFTP2g+95XRibZvn/ZsVmqqiaCRChCIhEFh9P1yfKtK9YfGdOv9f239dSqFUgo8rB2nXLYEoAIdOZs0Y7DaYO6NNNpNd5NtC5941VBzXHgeOVRkt02LRpEta4ffTQ1Ny27CMp9b3UGCmIiT8pHSI4NmjSk87H03PHPfldUYmO8kAkA34JC3tmS92YJOacDbvmfvuftUG5LVNwrpYpARIfDkZ6enpqampqaekZGampqYWGhp1krIiLi1q1b//rrr5tvvtnTzdm/wdlCxLOhDRPnKJI7mL960vbnN94dXAhIFPDnDYc//3l793YN5t03TKoaIyUD17GVhkAkwOsL1zRKCO/asp6Cle9Zn0vwmlsEcuUp/gUNWvWt/dus2nT4790pdw7trODd0ADkz/jvS5Np8wAglztgik7Nk3Lyzb9vO/Lil3/+b0LfqDAjp7q5M46aF77kSj9iHHGvrtdtPB9ByuGotsaEZrN5165dl7ZsbdGiRUhICP/e5XJ9//33CxYsmDhxYrdu3RDxp59+2rVrFwBs2bJl3759Bw4cAIAZM2bwLq9+A5SDbqhOaILjnrR8+0LZL+8BCbpeY1GjRQBC/GXTgac/Xt0kKfyFuwYG6HUA8pNGmRfqpxaD98Q83+OBk2fX7Tk1umfLRom+6pRXMWrxTMDe7ZOT4kJPnMnNzClKjAmVMx8ROLGH+TNxWdbW5H8bdKqRvVqcL7V+/+c+g179vwl9TXq1KyfN8v3LrpO7jGNn63qOQY3+wj/38YqUkqoQg4ODBw8efKkOqVZLgQyLxTJ//vzly5d/+umnLVu2VKlUANCpU6cGDRoAQHFxcb169QYOHEhEoaE+K9rtC+BF36uSWgTMml/8yUPWle8jKnX9JwLS71uPPffpb0EBupfvGZGcGMXLUl+YIuW3KJcFJJEvkQA//nmbSslG9Ghh0CqqVZLVojggrVr55KR+s1776WRGfkJMOEPJygVeElAkH5Z5qW4goV6ruW9sj48Wr//q5x3xEaFT+zWyfvmMM+1gwPjndH3G14A326M0KhQK7g7whrf74I8//tizZ8+qVasiIyM9HsT4+HiuCERFRSUmJrZp0+aiP/RPKIIjg6a+XvLZI5bF80il2B/YcfYnv5ZaHW8/eFPrRjEAItUhvxRJCifxwu8IALj7SPq2/alJUWEDujQhKZepumz8WrYYR/Vq+eHSjTuOnGnfLC44QO+xhgT/XoKXgpAIkQk4dlCnkrKti79dPHx/hir/nHHUfdruY+Qs1Fq7I+8t7XK5XnzxxbZt2/7xxx+MMQAIDAwcMmQIdyhc+id+/iIIECPiTeOeLv1+Xsl3/2/vuuOjqLr2ObO9pZKEVAIECAGUXqQ3BektdBC7ggX1VbFQRBDle32xAIIoWCiCBQWlKlWk95YESEghpLfd7Ca7c8/3x53ZLE1pm2xwn9+PZNndzNyZuffcU58z6y+hnQnrz3ptZLfW9XkmggebBtegopJKACQAocwhbjucVGKxvT9pAA9VuTV/sqrLaQlG926Vkllw6nwmotSrE5wpgNUJyF2D/ibd020DpgYew4un9gR3ENsMRrWGKlEWXDey4PqOIAgPP/xwaGhoYmLimTNnzp49e+HCBcbYVcv+7rqs3QfumVVFN9kdE3/CZupXvv9/7ViP5lF8l711QoqqB8/OAQAgSLucv2HP2XrRIT3b1JeKmdx5PVWsHSBgh/vrxtYK+uNgUvtm9REZAjDGBEGoFnPRCSICAZFErTm/deIaPbu8TNlpyQH9C1tOPTW0g1qpqLQtii9j59q+dm9XKpXTpk2DK/d/7j649lBuHuydggAQBQTYvD9h+s8JZQWd1jdJjDy8UqwbqeoxBghEZArP7r/qCiJCJK4a8O7S2w6dO3Ph0pI3R6uUCpfkXnehyrQD4nyVSNGhAQ+1i0vJLDh2+pwUfUOQtO+qGtxN4KqxcT1bYSmI2vY/Y+FFn/hXnvzwo8axUe998/uMxRuKzLbKSbRyehP//mtqtVqtVms0Gv7iKllQjQQxEogibTuU9PZn68vs9PH0J6Ken6uIbly0cmbp1m+h3KYgRdWrwDcNiR9MypWiMru4fMO+NvfVbtkoEoA/GAJyY/5oFd4pHgAmpULo16lxVE3/H3acKSm1cUnO2TKrbmz/AF6PLLcA4JYN6nIuRG9537cw1dD3GW2XEQEm/cf/GTK0233L1u1/e9GGlEt5zkAEEcm1Tnd54d2V/dxjlQJOP08EINcj20XHNxsPvjD3e41a+eHkgT1a1VOExxhHvqGu29z8w3+t21Ywm9mZxQxOVjV3rqg7hiCnRuDPO08kXyoc0KlJkL+Bp2ELAG7ly6oycYByQikAxEQEDurcJD2n6ODpi9w3xB2rnrlJIYDA+ITi4SsSGGryL4b99bkhO0HX/xl915GCVg8IUSH+b054aHiPpt9tOfzGwl/PpecSAICIsl+xOvWb8AAgodxFGwFYscX60Yrt0z7f5G8yzH1uYPdWMTwrURUd5/PYe8qIBpb1n/HaR6woo+OTznP1BadqlnI5b+biX+tGBPdsU1+Bglx55d4ZU7XaAeOZRygoJg7rpFMr9hxLzi2yIANCJj10zwMhOQQARGQMkARSKMqLI3d+aso85T/mHV2vx1BrBNnnExJg/O/LA6c93uv3fQnxU5Zl5xRKrH1SSq1HXqHHAuUNhNBisb+3dMt/V26vG+rz5fSRrRtHqRRK2QstKEKi/CZ+pAypZVk527rre3kq0Z13cHE3EIERIOGX6/ZfyrMO6dI4MthfqozlBFHuHHtViklEKTlEADLq1VMe6XXhUt6xxEwCUeCeN498akioIIF4fjIDZVFq9MZZvubLpvjX1J2HSnmySLyoAQCAhCcGtvrvCwMBsPOz89duP2m2lJEARKzahU+qGoSIoiieSb785PurV2w+0uuBuJ/mPlU3rAYCAEr3k3dwQb8Q47gZqgatSpa+XbrpS7KZ70oHFzeDgAQB4dSFy9v2J0YGm0b3bsVlHCOQSNDcOfqqcyVKPzgNHALQwM5xDWoF7zySZC3n/dQ99LFx5joUGBBo885F7Vrgk5+iffhxbed4VCiBpDwSAMlfCkgqpWpYj2YfPNc3rIbPlPm/frhye2ZOEaLgoVfouUBbmWPtjpPPvr/mz2PnJw1rP3dSf1+jRt7ySc6Bl1hRVLXiDKPeVNW9z7pukXX7d1RWSoSVGfS9VfCFUG4XN+89m55dNPXJXn4mLcofICjcXfpbdb4DyanDPVcEAP6+hnG9W2XmFmzdnwiM0GNVOgISSBBRU3wpYs8Sn8wzhviX9D3GCTojX/ySexHAhegWNRplt1b1l787tv190YvX7nnm/e8S0/M89hI9Ew6R/d83W1/95Jfs/KKlb41+Lr5zoL8BgEkmAgoSEaVUTwoAoI6K9X1uAYbHWH6eX7pzNS8j9dhUBCQgZJdy87/esK9T0zr9OsSR3NnHpYjRjQOoSt+BU5vmz08hsO6t699fP2rtjqOFZpuTN5CQBOAsQ1QF64eQl19Lew4CAAkkYHlx1PaPffKSDSNe1Xcfj2otDwlzui2US7VcWoGhgBga6PfJfwY/Paj98XPZ/Z5fuHrrUWtZucR6cEW+kPNVVVxyVYGcFYnS/zi1GQDZHY7UzPxhry/95IedTeqGbvzo2a4tY7QaJQI65zBKKqXr5o8AguAb5Pv4HGVEfcvKOaXbVpC9HCtY1W65g8tdBr9I55kRiPCbXw8WlNjG9GmlVKiu7kXHsyzcBo9ysSojQ/xH9GgGJKz540g5YwioABIImUSwj5UfA0OBBJEHfFEABTJCQG1+Su2N75hK0gwDn9N1GXHTuw0SkF6rfe2R7u8/1z8q3P/Vj3+e/tnGxLRcTt8jZ2WSbERRJTiTPQayIg9S3j7XrIiEvOLSr349MODVL86mZD81oMOC1+KjQv1lz9JN3XkhOMIw+i1lveaWFbNLf1/BbGYnq5pc4FglC4FXuBMnaOKz6FhixuK1e3u3i20eGyG17K1EeFCVO2em6Nepyffbjh8+k9ayYeT99SMAUOA6FBBglaQqkrPegJAhCbqcc6F/fW7MTjTGv6bpPBzV2pvMOOQ7ASKoFYph3e9rWq/m4p/2rtl+ZH9Ceny3RmP6tDVp1YhMYg0nZ6VK9Um5vwM4LUfpf8gfOp5ISp/z1e9/nUxpUDvohVFdOt0XY9CoGKJAjFx06L8HAqqjG/mMn1Gy9K3S9QsQmK7HOFAITiWOn8t9V3d9SGcVQGbAKLHapi3eYDJox/RuFehjqPxH70HaAV91Jp1mznN9i8zlu45cMFttIDOQ3vxWcHeBjBMxIAIgA4UlJ+LPxb6Xz5rGTdP2HI86I6tIMf9HEBIyOeesfmTI7Gf7fvji0IsZOe8u/X3inDWpWYUECplK4d/laERJ9eNZdwgEFqt93qodA1/7YvuR5EFd7/9q6pherRoatCpAziEl3LyqyC1wRVg93+c+VdSsY/7hf6W71iAyebHdQgeXuwmpASchIIFAiMt/O3A4IaNL05h2TWrxBMRKHpMHiQPZyKZ6EcGvjOly/Nylo4kZSr5hEAAKVcKYxJCQBO7CUViyov+YayzJ0A9/Xd95NApKlJ0JN3MoJOK0PAyRCAlBpVIM7BS3fdELg7vcv//0xb6TP/ti7Z6M7EImMuAhCrrpHk/VHhXGUZHFtudE8ti3v5m3ckd4oM+Xb8d/+OLA4AAfqUCb3/JbcTU7O7gIPjV8HpmpqnO/9Zt3rJu/obJSAGRwCx1c7iJEkPIjuc6blJr9445TPkbdzGd6o6DgErKS57wnGQvSD0KA4T2b/nEwccOfZ1o2iNLqVJLjGFCsfM0ZkUgUALV5F8L2LPYrzND1e0rbeShwrZ4Abl7PlKOnKK1yyUSODPH9vxcHbNrbYOXmw1MW/Pbj9pMjH2zet0Ocv49Ojrrc+yBCAGYtcxw4dfGnHSd/2XksyM/03LAOwx9sHhHsxxUrOWoj+QHJ6aX9Z1Q4FxURMcaRU8zLZ5l/+oiYQ9t5uKA1uo+Z6m8gSC4iBCC7XVy7/fj59Ow5k/oH+OrBGTOt3EF5kHbg9LISQGRNvxE9m+cWmr/bfJiknpqMAblfgeZxARIkQ5+7DhSa/IuRez43XT6rHzhR1220oDXyWydFR25pUMhdolcw3mlUyr7tG304edD8l/vlFZRMX/zbuGlfr/79uK3MwZw3pSL1vuKnM/BwS7uIK6vyrQz99uA8B4MKnbxi9M5Ps/PNr81fN2nu9z/9cWRYj+ZL3hw+Kb5TeJAvAMgLA+VXPHpzS1u6SweX6MY+T36gjIq1rFto3bkGkHfMcY5Ebhvv5tIG1/DT6eTMJT/v69Gyfvc2sYiEnN4VK9uj4UHiwLVZt0KhHNqjWYf7am85mHjo5HkAACISkLl7r0RCRkRAAgigQGICKBW2gohdnxqzE0xjpmofnAAVHGcVA77t8/G/JyJBwJoBpsEPtdm8YOKjg9qdSc2d+MGqvi99tutwYlmZQ0RiUo0DAwQmh2F5A2Ii4D38bvasNy5/dgMQpWUvcK5ZWRIwzmksimJWfsmsZVsajpy9ZsuROmHBP3/49KyJfRvVDdOolXdphFcfRBEUbnxmniI8xrJqTum2NUTMaVDIkrcS7g3jtcwOh/jGp7/otKrRfdv6G9XSLaIqiHd4lrHAi7yRAJB89KoXR3XZcyp9w96E2pEhNXxMldBWU5CnAdddkQR1YWrkzo9NJZn6oS/pOg6Tdfe7NlP4g0eZEFQJ4KvXvDmuZ5+2sUvX7//z+MWx01d2bl5nxIMtGtepGRHiC6hgkuMNpJEgu2md+ZqzVwLrFE/N4hIBBeSeMxIQodhsTUjN+XX3ibU7TpbbHd2aNxzfp0WP1g10aqX7Pf2o8gsyjX7bvGJWyddvQ7lV13koaoyEJPv3CNzMqkYkIECZyOav3nU44dKTQ9u3ahiKAEQCIQnIOdIYVqJQ8CBxwDPSCRhInMrYKi7q5dGdZn+5ZdeR8307NFIpFBLVlftGIFFWAvdb6nLPRez5wpifrB/4vK7zCFSpiIfA7h6kVKUr3yKg+xtE/LdexJGzaZv2ntn415ln56xpUi+0U9O6vR+IbVI33CUcjQACz/O+jbl7FWP/nVzIjc9BUo2qy5MzW2yb9p3dsi9h7+mLhUWWhzvE9e/YpEPTuia92hlqd7OUQgJQ1YozjXm7eNlUy7oFxBz67qNRrZMSG10STN03BALYeyL5m1/3NYoJe7J/O51aw8+NPBXilg3RO4UHiQMpmAcIgIwkIuXH+7Xdf+Lixr1nmsdG1K4ZIJK7XT4ogMBAREJVSUbYnsX6rETDmKm6DkNQrQFGzqDj3QLJtU4uC5IQkBEqBdYqLvK+mLCnBrVfv/vEop/2fLhy+5J1e9s3rjWhb5u299dRKxF462eE21AsnU07eM8FN0kEyV8mm0Vp2fmrNh9d8dv+QotNZDS8R/OxvVvWjahh0KmlzE8EJObWqn4AkOPaqIyM9XtxcdEnz1rXfiIoNdqeY3lTzUowFRAwK79kyU97Ckqs37wzNjzET1YViYt4rPR4hweJAx5EIimzVMpEUWmEl0Z1OX7u0pe/7H1j/ENqtdKteVqEAEwUQBBshbW2f+xbkG4Y+bq22yip0AqRAQl3VY+V1uEVCZeC9A8EANKoFDX8jRP6tR3WvcUvu08sWfvXn8dSNu47FxPuP7pX866tYoP9jT4GjeJWZo4oivn5+cXFxQDg4+MTEBCgUCjctQCIWcrEEov1WNKlr389sOdYCgD6+2vHPtTqmWEdwmr4OhMDiURABRK4XxYAgCBxqBAKJl/Do7NLl75lXvkuIGo7DUWVFpy8XG4E2/RXwo4jFybFd2xcNwwApD1R6vCFRCKiwr1DuBIeRI/p3Pf5fuJ8ZSt3fLp617yV27q1rD+sRzO1SukMN4HLi9sDtxI524ozeqXLvRC5+zOjOdPQ92ldt1Gg1qEzpdDtASnnxaHLjbjinDsOJ+0+mnzwTOqJC5eBia0bRbduXKtpvfA6ETXCa/goFNdOINdBExHs2rXro48+ctjtZWVlSqVy6rSprVq1doqD6dOnx8Y2GDFihOtfXe+y/0GfLjRbk1JzziRfPpaUufdkcsLFrIZ1ajatF96paUzHZnVCAn3k6yJ5L7jeLzfpLMRcgjsEAPaU0+aV7zlSjukHvqDvMhx1BhdG9ivn5h2eWj7E4YS0R2esjI0Onvfy4JqBPgCueahQ+YFP8DjtoOIFAgBDEIi0auX4vq12HD6//ci5OhFBbZtEAwiATOrKQsJt6wsIIBA4eFsHIkISSOD5BaasRN3wV7Vd4lGtcw5K/udWuMRXbuAh7Ny83gP31c7KN59Pzzt6Nv23vWfeW7YlxN83LMinTnhg0wZhrRrWio0O0alVJGtczpETgMMhzp8/v1GjuKefeabMVvbBB3NXr17TrFlzlUoFcsbklYlV5PoLAYgRCggV9/2K6Xspt+hwQsa+EymnLmSlZxek5xT4m3Rdmtd7aVSXBtEhtUMDDDrN9S75Br/cs0PjFQoIAoAqOs4wfoZl2Vulvy5GQF3P8aiQo5sEctuDOxQHPNOKAISsfPOkuT84RDahX5tgfyNJUUVyBpuqBB6kHVwXUsQFIf1yUecnPwoMMDw9pENEsL9USUAAKDK4HYUKub4IAMhtVSaIKFjzorfMMWafNY2boe84AhTgUbFYJ+T1xxiBKLL0rMI1fxz7efvxhNRchQIFhAAfXftmdR9oXLvj/XXqRtYgYpIhSkgAdnu5QqFQKJABfrnki82bN3/77bdKtYrbQTNmzKhfv/7IkSPBdaFL7UsIGPe4O+usEBEttvLjSZc27Dm14+C585n5dkcZI/A36Du2iBn1UMsO99dWCAqBN3WASvAL3B4IgJi5qHDe0/bkY6bR0/TdhkuxJlkPusbre6vHRxGYgoRyu2Pa4l+/+GXPc8O7T3m0p9vstFuGZ4uDCr0RAPDHPw6//PG6FrERYx9uo1GpeM9e4t2Ubw88mMR4LAPVJZei/phnMqcb+z2nfXD8LeS8VREk4hiQKcMQky/l7z2R/NfJlISUnLwic6HFZiktCzDpGtauWScioH50zeiaAX5GjV6j1agFa2lpVmbqh//9cNjQoePGjBAEgbs1Z0yfHhvbYPiIkQgAwMrLxdJyBwDZyhzldmaxltlFe4mlPCO7KCktN+Vy/vHE9PTsIrVa429Q+pr0wf7G5g1rdWhau3lsuE5qAyep/B7e0ImnbzjSE0u+nelIOKQf8aqu83BBa5Bln+TovN2DM0ABARwi+3H7sbcWboiJCPhxzmNarZLT6aBM3HB3L+qW4NniwPkYCBDJWia+88WGlRsPDene4sE29aR+0MRuu3eblBYDBAS6vKTwP5f4FqXr+z2j7TISdQasUBE9EJIT2lVcSmm7BDm5OT+sXX/sbHJqVlFWQYmNaZRaH1TrraIqr9jiY9AE+BhMenVRfl5WRrKPydi+XevoiFAUuFihXTt3BAYGNWzUCAAA0VxqKyyxEUJBocVsc+TkF1vt9kvZBSaDwd+grh0RHBJgiAjxjwkPDA/2iwoNDAs0cv+FXG6BFY4QYARQmYH0WwHJq53sF0+bl890pCca+j6j6zYKtQYXD9XtzgciPtVOnb/83P99LzL8dvqoqNBAZycBnpN0dy7lduHh4kAEUMjSAAjh4qX8Zz/4/tT5jInDO91fL5wIFMjEm6sguhbcmkYmqItSonYuNGUlGEa9rus4DDV6RpIXz1N3syu9TdwkRd6mQrDarJcyLpU77Hx6oUKFCjUISpGorFw8l5aTXWhJuVRQZC5NSs0qLLakZ+Y4FFpAAUkEIAIFIiDx0kLB16iOCPZTCkKgvzEi2Ceihm+NAL9aIaYa/iaNUmk0aHUapUGvUQoCSN5FAhABlZL6goxA4SoSPBhSi1QEKs/LLP38P47Us/oBk/QPjed5U3fqOQCyWsvHTf/2VHLWf18c+PADccTTH4FEZAIoqvzmeLY4uKIMnTNfCTsPn5swc7lerX55TLewIF8GXMu6LSAJDBVlhbU3zjblJxtHvq7rOpp42i9K7jQPlQYVLncCINkHXtH2F0Bq7UkAQAx5vQxndGJs27ZtTZs2DQgMRID169fPnTt348aNOh13mvLIQuzwESMqhA3vkAMkNQaRA2BXGnPAlxOTxsV1Y2kQJP01OL/qabgm1kBiQXbRwpcd5w8ZRr1l6DIcFAq6I/Jrsov09mfrl647/OzQtm9OeFCpYABKWSIAw0ooyfkHeKbaJuOKey9wF1bn5nXffuwhc1n5j9uOl1jKEESukfIVcOOnha69UgABkAQSNAWptTfO9rVkGYZM1nYcJp0TEUFwcpx5JmS1BV1yaflbcvNyQfqYc7Q6C2YcDseMGTMWLFiQkZ6ekpJy4MCBkJCQa8OTLpeOvDDfmRrhDIZXrG7plQCAglRjJLgOQv7rKraN/wbXxBoEhX9N05g3VTEtzMvfLd3yNbNakJwtH/+ZVU3mupM+tTvENZuPrNp0pGOzWk8PfkCpEHhcT8o3x6q3FMCjAo03CQIc06tV2uWCJT/v3fCXcXiPpiRthYggME50fM2dRSCBEUOU9nwSEQRtzrnwvxYZ8s7phr6i7RSPyuv0Kbz3oFQqX3311UWLFu3evdtut5tMpsmTJ1+3R6MXyqhY09ipxV9Ns6xfSIzpe4xBtZZ/JKtj161rIACQ7C2UimMPnE7/78ptkcF+s5/pExLgc1dSGO46qp84QACVEp8a3OFCWv6vu0/XCgtsHRclu/0IQXFd5kJCEhGQkHOQCKJSZc4I37PIkHXWb9Q0dedhqFJ75AO6+xAEoXfv3g888IDVagUAvV7v4+NzVSv3qhudZwFBUEbU93t+ftHHE0t//gTVWn2PsdwkI9n2ut6kkahZBYnhQrTYxCnz15WX2RdNGV4vqgYDuLu5rXcLnm0sXAtJRxNCAkwvju4cGx204Lvtp85nMklvU9zIj8AL1STfMQPBmhO1bZ5fUYbPqDfVPUaDSkXkbg57D4IgCAEBAWFhYeHh4f7+/lIgQJYCUn6AF9yFAIimQNOjsxS17zOvmG3ZvAzsVpB8NDda0YTAJM8qsEKL/bF3V6Zm5b84qtv99UKRwGObiFS3B48AEucs3V8/4u1HH/bxMazcdDA5IxcABSB2A+uUkLMeMiDQ5J2rvWWOT0mmtv+zuo7DkOCKXin/Ajj7uF/7JgAw5skdTSsVThIEZWgd06g3VPWbW3/4n3XLN2QtkRhur7+skXhPKKScwtL3lm7Zcej8o/3aDu/ZVKVUyh0iPXHvqW7iAJDnx/J72blFnQUvD8nON6/afKjYYkNnS+VrQcAEEQl1eRci9nxuykrS939G12UEarT8qB4qrqsCnhpbrRJU3AplVKxpwruKWo0tG5aU7lhNosPZ7ukaEAIIgLZy+6rNR1ZuOdi9Tb1JwzoZdGrnET1RGFRDcQByHAERQKkQurdpMPWJXucz8r9cd4CBgEScgJ3TGHJvLXfmKEipsOZH7VxgyjxremS6/sEJgtbgrCr38DiCF1UElOM1iCAoQ2r7vrBAGVrH8t371p2rZY2SOSMIBIxTf/O0lV92npizbFO9sBrfzhgrMV9WHNcTZ1v1EwdXAREHd71/bJ8WJxIufv7jX5YyO/DO0HITE4EEHtFVFaVFb37PYM0yjnxT0yneM8WzFx4OwWAyjJ+him1t/nqGZeMyZjO75KYQD4cDMlFku46cn/XF1oZ1wua/Hl+lQ74FVHtxAAABJt2LI7r26dhkz4kLv+45bbGVS9lxKPBYAgDqcpIit88zFacZ+jyt6zgE/z0UxV7cZaA6or5xxBRVvWal6+bb/ljBbBaQkxAAeL6BsOPIuWfnrlGrFG+M71E/Mrgqx3sruBfEASDWDPSZM7Ff+/tqb/jz9B8HzvKOrwIREohA+oLUiD1LfLKSjENf1nYbDToD+/dEEby4y0AGqKzVyPfZeYrwWPP6hdbta8iZ5UUASEcS0t75YkOxuezjlwZ1ahaDt582W9m4J8QBAAH4+2oXvzmiTaPaP+84dSzpkoOJhMAQlbbiqO3zDXnJhjFT9V3HCiotEskJe154catgAvcU+gX7PvmBKqqhdfX7tt+/Fh12ACRg5zMKXv3k55S0/AVT4ts2ratUCohMqCabz70gDgiI58b7G7VTH+8ZVzvko9U7/jyaXF7u0Ocl19nwrrE00zj4BW3HIYCMN3tk/6IkAy/uLuQqDRKEGqGG0W8JDVoWr5hdtvlrKi05lnTpydnfXcopnvn0w73aNpAN0mqzyqpfVuK1kJPxCQCaxITNeqbvs3PXfLf5oCkvKd681ZifrI9/VddhKKo0wBsUIKIn1It4UV0h9wkkVEfF+YydXrLsrdJfF6ddzn9tvzo5s2jaE72H9miqECTBgQAElcqPftuoBkO8CUhxHUAUUGjRMOLn959o5M9aJqw25CSaRr2p6zYadAaQOn8AAAOBeV2JXtwWOD8GITr4rFOGxfi+sEgZXsf051cNsnfNmTRgdO/meq1KquiGyqFlvju4J8QBETIAiRocBBRChJJlMWdiVMX/s7XeqrzPLkp5RsjbZJLAAK8tc/LCi3+EVMxNSCBIdHMAKYWO2aUPnHDUeNPvVB86onCUAyED4uWzxOtkqgOqxyj/AVIqopRpbE8+UbzwRUdmcknH8Ud9W0z64PuVmw9Zy3n0USF9nbyBRi9uB3x5A3JOJyKgfSdTJrz77frEkpIek5QxLUt/+ti65WtmKxHkeSkLjWqAe0EcEAEg47/Fi6fNK2c5LhzXD3iu4chn5rwUH+RveH/Z79//cczuYJIhhyBzhHjhxS2C081I7WfhwKnUNxb8ejY5//XxPfoMHej3+GyhVlzpxiW27d8RE0EmXK0uk+1eEAec+gRBoMKckq+m2c8fMz4y29BjnFJnbFov/Lf/PWMyaSb/b+2CNdsZE4E4vaKnZo174flAgQESQlJq7n8+XX/6fOb8/wwZ26e1TqtSBIX7P/OxIqyBZfUHtj9WAhORKviiPB/3gjjgS1u8dL5wwfNiTpox/lVtxwGcy4uAggKNK999pGfr+rOX/f7h8u05hWbkxEguBf7yz+ry1LyoMvDVTYztPHR+zFvLCgpL/m9y/6Hd75M666FC8A00jZ2qbNC2ZMVMy6alZDPDFVlIdM0LD0J1DDSSk3mCO24RBEfyCfOK2Sz9rG7w87pO8SgoASROLgCoEx74zlMPqxSKeat2ZuQUvTaue2igL0l87Lz8BOX+6P8uuDKdezjreRVBIqUFuXcNAjPb7D/+cWzu19vUauWsZ3v3bBPr/Da/fcrIBobRb1i+fad0/UIQHboe4wSNHtCFNhLunIfVLah+2gEBZy3gHIECouC4lFiycpbj/BHd8Nf0XUehRn/tX8VEBn388pDH+7VZvfXQKx+vLSqxyWR3vBSVkHjfhnsfrmRHV9TYcX5vr1C4AshbIxFyvyGzi7Ry48EZSzYzoE//M6T3Aw216ut0wVNH1ved9KkiItayfqF1+youC0iONSB4aKzBE8f0tyAEIoFXknKumaySL6eKaQmmcdP1XUagSnOjQmU/H91/xnV/YkD7P4+lPPTSwrTMAsacK4N4kUOlXUYVgjeJ5a9FUSwrK3PlO3H91AsARkQ8FEWIxVb7/339x1ufbYgO8d++4Nl2jWspFcL1NnkEEgSTn+/j76miG5eu/qB063Kyl8ldMTyX8aDaiQN0cksAgePiqYJPJok5yfrBL2g6DCJEAqTrFYxwu8Cg17w6tsfLo7oVFlni3/p6w19nyspFiQCTwAOVNzfBuf+vXr16/vz5OTk5XhFwA/DqFmLEzqflvv7JLx+t3tmvfaOFU+Jr+PtU8CpfA0ICEBRBUaZRbyljW5tXzSndvJSVlgAIUv+OSryGm0e1EwfO+4+O5BPmb2eKF0/q+0/UdxqGKo18o697qwkAkECvUz01qN38V4YqBXhjwbpFP+yWFUH4l6wI58pPSkqaMmXK8uXL8/LyvAbCjYCADODA6bSXP1r74/bjE4d0mPl0n/pRQXye3agDmNTRAkAZFWsYN11dt6ntty9s21aQ3UbkuQTz1U8ccHkg5qUXLZ9Zfv6Iz9gZ+m6jUWMEQAB2Q02XkHgTM0S1WtmldeySt0aG+Pm899XWR2Yut5WVId5Ijtxr4CvfarVOmjSJ92Xl8CoI1wfC3hPnR0/99vDZ9M9eG/r6hJ6hNUwgrWbhBvlF3E0okSKqa0b7PL8Aw+ubf/q4dPsqRABgN9QrqhSeLw6YlPgtb96IgiM7pWThKyw7xTh6qrZzPAgKuYxJwVnOrnMYBHShxFcgNIwO+WxKfJ92cVv2J46fvvJEUqZIxG1FAHJlvLo34LraHQ7H119/HRER8dRTTznf/LcrCNI0482+CACIKLfQ8tGqbQNeWhoaYPz0P/F9OzZWKYQrnVPXp051eR8BBMHg6zNhprp+C/Oq90s3fkG2Ut7Bhc+xf+zgUmnw8EAjcWoCZ0SQiBwpp0uWzxAzk/X9J+o6DLyTo9eJCPxg8sDYX/5a+sv+yfPWPjWk/YCOjVVKAYjJ7ceqpcZQXFx86tSpsrKyq96PioqqU6cOAJw8eXL37t1vvPHGdf/8XyoXpF4dFeknCRez563c8dufJ7u1rv/yqM4tYqOEO+iiqAiNNox4na2YbVn7CTkc+u6jUGdwZjHTDTu4VCo8Whw447PEe1gAOFJPm1fMEs8fM46ZqukwGDW6OzoBYoCP7oXhneNq1Xzni01vfPrz0cS0ySO6BPoaeHipOq4LImKMmc1m3lXFFTabDQBEUfzuu+86dOhQr1699PR0p9bw448/zp07FwDS09N1Ot1HH30EAEuWLGnEWznf6yBAREISCAEJfvvrzDufr88usE4a3mVcnxYhAb53OBcQBFVUQ98n5pQsfq30t0WoEPS9Hpdn+N90cKlUeHZUSSpGkEpKqTCn8NOJLPWsbtx0fYchcldnEW9fqDEgARCI6MKl/Mdmrjh7Mbtzs5jZz/apEx7gGV3zbgHXpgxcN4ngzJkzPXv27NevX40aNQoLC7///vv+/ft/8sknarWaf2H69OkNGjRwdSv8GyDrBqKl1L7wpz//u3ynv49m2uMPDuvWVKEAIKVUf3C7c6IiG7Eou3DhS/bEg8ZRbxq6jgCFSsqIlVTRqpxznu07QO6dRQJgGeeKF7zgyEnXx79saD+QewgQEOnaJJCbBglyox1WN9x/47ynn+jX9sS59FFvf73mj+PFltIqt+VuCc48oqveuepNtVr92GOPBQcHC4LAGy5d1a8VEf+F9gICEsLhs5kvzVu7YM3uNnHhX745akTPFgqFAkAhZ7Defqaas4OL4BtkGvO2Jra1dfm7pZuWMmuJRNiBVR9u8GztAKTe4fYLx0pWzBYzEoyDJ2s7DkWNnmsM6OQxuM2jAwFv4y3dBFuZfdO+xHkrt529mD28+/1PDm4fG11TqG5r4ybVBABISUkZMmTIN998ExcX53yTN3QfMWKE2wfqSSgy277benjJun3FxZaxvds8NrBNSIAPAhAxlDoqEtyRASml1HNyJDHjXMlX0x3pifqHH9f1GCdo9QCsyrdnT/MdyCni8j1HVDgunbN8+6794nGfsTO1HQY5+yzfBdVKqlqvOIxWre7XoVGL2IgPl//+7cbDe46nvP34Q/06NnHaLQIAAOMEayC3ikYPeJCuuHbl32i3DwoKev/99yMiItw/KI+ALBadVrpUvZZ6uej1Bet2HDpXw1f/2ZRR7RpHadTS0kB0OrPv0K9cMV0RBGV4fd8XFhZ9Oqn0lwWgVBl6TQASXApneGEOI7qq07x74VHagWTJAzAgRiggIMvLLlr0oiMtUT/8ZUOXUZUwCJnuBr7benTOss2XcorG9Wk9Mb5DRLCvUqHkE8nV58N3j6rW8u4UrurDPagd8G5JxBAFXujq7LNRXGrbdTTlzQU/l1hsDz3Q6INJvQ16g6vAcCeYPSfD/OUbjoSDhhGv67oMR7Va3lec+2Kl+hc9STvg5MZ8XqISAezJJ0q+fYdlpxgGPa9rP7hynhHKj2Jo9ybR4f7Lftn7/bbjhxPSHu3fdkCnJka9Wtb3ZM8PJ2WrbvLgKvPh3nYWyI+K7/Nc7wdRdBw6m/7NhsPfbT7YIi5y6uO9+rRvpFYr5cdJ7tf4UBUUYRo5pWTVe+Y1H1BZqb77aNT5kNxqlCo9uuVJ4gAAUapZJmCOlFOWFbPECyf0o6ZoOg5FpYYBCZXxkBiiQAQKAVs3rFUvPPDBdnGffrdz+qKNG/48OXlU9xYNIwAQ5cJokP5zjyyne7aiUdb6+G+rzfHxml0/bD2UlWd+aVSXoT2b1Q2vgciDVVwDrAQJjwxAGdXQZ9yMoqVvlW78AgRB/+B4VGmdOfX/Yu0AEUgEVBCIVJBt/mZGWcpx38dm6doP5Z8iuL9InBEJPBVdosENMBkGdm7UtnH0e8s2rd56ZM/xi8/Hd3pscDuT1I2XG3rVTDm47pp3vulJ9uPdAYIIgIACI0RgO45ceOn/fkzLK25St+ai1+ObxUYhIOfLAWRS3WFlCEXG+RQVNaP9X1xUOO9p6w8fCiqt9sHxfDSVL5c9SBwQAKCAAI7LF81fTBFz031HT9V1GFaRnuz03LkNTACBM+gT8SoGznwRGmj8+OUh3VvGfv7zng9X7dh6IPG5ER1bxEbV8DMAYYWTsZrguvOMv3mPqgYKAlZudySlZn25bv9PO04G+mhfjO/w+ID2wTWMvOqYU+AQSRMAwe2TDaR6Z0ISUGcwPvKO5dt3zatmk6Nc23WEoDXxGf8vMhbIZWPlv+znj5lXzLRfTjEOfE7bYTD/RHL7uD9Jo4L9Vm7ShC7/BnRu1Dou6sftR1dtPfb4zJUPPtBo9EPNOzato1JK7h+X67jCeX0vrjDPwRV3mq5V1QhEYucz8tZuO/7zjuNZhebBXRoP79G8daNa8l9JCxMBK90rjM4JpgqtYxzxWsmK9yzrFhAT9d1Ho9aAFYYouSQvumvvqUJxwC8PpeouQkTBkZpYsnK2eOGkYfxbugeGolorfxldflYOrlumgqFBPk8Oat+vY6Mla/ctW79/z7GUjvfVfn5050a1a3K/j2TuuSSj88byFc/di7sHIpKzyZ3iW3LqQEWxIVv6y97Pf9mbkVV4f/3wOZP6NW0QYdJfNbXkF5UrC656rYxsYHzyA/PiV0p/XQyo0Pd5AomkiUOSY0NOjnTPgKrSUHQGFgEAQMzLKFo4WUw9ox87zdBxqGdvqyQCJl28PH3Rb3tPXLQzmjyy86iHWgYHmJQKrPABAfCGMCDXXFQLVKtAo3O3lFUzKS6ARGSx2rYeSJqxeFNmXnFkiP+LIzqO7t2Klw96amSYAIgV5hV9Nrk86aBpxBu6rsNRoeF2jHOjcd/Qq1Ac8MQeJhACoj3tjGXpNHtOqrH/s5quIwWl8o7SDd0Mp/5msdo37T2zeuvRfSdTQgNNI3q16tKibmxUsFqlBCmnVZD9n3eU8V6ZqFbiAIiBxCDAjTwAAMorsu4/lbp848Fdh5OiwoMebFX/0f5tw4J9wePjJkSASI60syUr37Of3msY9pKu6yhB7+NMnHXruqhCcSAVIwCReOF40cr3xPTTxiGvaDsOQY0REa5jBHoUKoJAlF9i27LvzJotR3cdOVevVkj3lg3G9G5ZL8ofSAAAqgh1e/DluKBaiQMpwQhk119+UemGPWc27Dl94ExqDT/D8J5Nu7dq0CAqRKVwKgTuNb/vDBXZR45L50u+miqmJeh7P6Z78BHU6KFiX7nnxAF/jAAoZiaXLHmtPOW4adw72vYDUamSypkr26t685CeBxEg324IGJHFWrb3xPl3v9iSkJZn1KtGPdj6iUFtI0J8AABJIKDq4j2oRuKgIm8NCABXbD7yyartadlFSgU9H9919EMtAv0MSiVID4ozbHqy2gkg868ICGS3mi0fP+s4f1Q/+EV9rwlEgrv52KvWWACWd6lg4WR2+YJx8Eu6bqPkD0QkRSUnYNw62JXJKtJoS232738/umLTwaT0XGQ0/KHm8T2aR4cG+Bq1f3s0D0I1EgcAYHeIGTmFW/cnLFu/78KlgvBAn94PxE2M7xgSYOCuBJmjzGmtcW+OJ04tIuZSoUAAJGanFy+bak/YZxj2ir7rSNRo3cqSUmniwKnnyJs+oT35eMlX01l+hn7ARF2neJc4QvUGEVists37kzbtOfHniTSr1dazbcOuLWLaNYmOCAkQKjzDUvzI6fqSmTAqjuRu5fC6qEJxQM6QADrNMecyRrkokGsEUGwpO5yQvuvI+a0HklIycu+vF/FQuwadmsfERYdcVbJdrWFPO2tZNac86ZCh37O67qMFnQ8hkxvGAgAiMbhLZU6VFGjkvVK4XJPyC1KOl6x813HxpGHsVF2HQai6R2QBAACCQa8d3KVJtxZ1z17M/e2vU6s2Hdr819naYf7dWscO6Ny4Ue1QBCaVPqC0AFxCqU6nY+WHV6sMRAydPJcVsgCdFhkAgNxpz1bmWLfr5A/bj59Nyc7IKezVNu6lkV2a1o+oFeonfc3jXYY3DVJG1jc98k7RF2+UblwCKOh7TUCliirmBxHeNX2hMrQDZ7SUgCEgArK8jMJPnhcvnvR54n11uwHVxai+GbhMRCY1ciHRViZ+uW7Pop/2Z+YWqVSKri3rPh/fpWXDSEBUOBOeQKbtd96Oq8yRykJVaQfM2SodGRABKAgYIvDbiACM0eW8kq837Pvsxz0lpXadStWzTb2pT/SuXdMHUAHApH4ZV2UhVXfRQADIyGounPeUPfGQcfRb+u5jOZWblNRy95whlWYs8AZ1REDs0oXCL6dATppu4HO6rqPk8gCGUI0VvKvmXMV/XR5Wsdn2658nf9tzJjE1N/VyfmytoH7tG7e9L7pOeGDNGj4g+SavqGnlAvRfYyw4TQN0jQgWW2ypWQVnUy7/9MfxfacuKhWKmKjgto3Ch/dsVS8qyJWTpNrEcm8Fzt1UzEgqWTnbfvovw+AXeO2jM/p4ty66ksQBgchXu+PcUfOq2eWZF4yDntd1HIIavbxcPNxxeIeoMHrL7ezE+cy9Jy7+dTJl/8lklVrVpE5o89jwVnGRLRvWMhk0wFVkEBgAImGlqwdVJA5kv5IcOCwvFxPSsncdTT6ekH78QuaF9NzYWjU7Nq/brnFUm0ZRgX5GefVfIYXvxaILAgAGKADZ0xMty991pJzSP/y4rsdY0JrubpSkssQBMUTBnnameNlUMeWEaex0bftBqNQAckkheHr05yZwHaXU6Rm7YkkTEYiMlVjK03MKftt9+vs/DqdnFRmNhjB/Y9e2Dfo/EBcXE6pVIZCiSlIvqkgc8AAbIrGsIutvu0/9uO14ckZugblcKbC+7RsN7dEstlawv0mvVSvljCOX0jY5z8spPqu9jSDBVeMhAGLF+UULX3Ikn9D3e8rQ52moDsYCk7MKKlzlYl5GyfzJ5ZcSTCPe0HUZ7oaTVk8QAMKh06lf/XZg1/HkgiJzmc0RWTOgd/sG/TreVyvUX69WabQqpSDAFVO8IgsKAK6i2bveSmByJu+18+bqN13Fwd8squscq6LaxrlLMwBw0o+41lC70rqW2+3WMkdpmWPzntPf/X70cGKaSqE06NS1QwOG92zep0NcsL/pn+7jvwisIKt48SvliQeNnENJqXWuNjmL+TaDqe6ILBCQIJXzyCEQR8qZ4m+mstwMw7BXtB0GueGk1RZIANA8LrJFXGRekXX3kXPHzmWcOJ/9659nP/t+d1RoQIuGte6PCa0bGVQnLDC0hq9Bq5aWlssxSCaZR2AAgM69Uk6/kwMXgABEdOrUqYsXL8pfwObNm4eGhl5/dNeXBSRtw5KnQzL4nd91oSMUZG4h3ppQphZBtDvE7HxzWnbhxcz8k+czDp7NOHkuU69RRocHDurY5IGmdds1qVU7vIZSEJg8zju4y/cUBP8gw+i3aNUc84rZzFqq7z5aMBj5g0YAuqKI49Zw98WB5NjhWgcqEMCedLhk1Rwx7axx+Oua9hXcp14AAEAFAU+Ar75/lyZ9O8XlFlozsgsvZubvOp5y5Ezq2m3HfU3aiOCA4ABDvYigZg0iGtWpWSeihlJAp+VMErGegMCkrYHwqrRO7qMRmeOzzz5LSkqKiYnhjumwsLAbiYOrtnH5tRTwcLLCSUma4LpJMeAVq3KVJ/96bkHJyZSsY2fTEtPyUi7nX84tysk3+xi1bZvU7tu+YeOY8Igg37BgP61aiVLiKhNIIEQkEbAaO5vvKlAVUd805m3z0retGz9HYPpej4JKh3KUtiK75xZx98UBEgIyHi4gEB3ZaeYVs8SUU/pHZ2keGICCUgQmVPM4wt0FyrkHnJFZISiCA4zBAaZmDcIe7tDIIYr5JbZtBxI27U3880ji9gNJqBDUKpVRr2oeG9GteUzrRrUaRIcIiCD5HQVB2or5lkpS1YSU6QBAmJ+f37t376effpoPQKVSwQ3sAld+pCs+5Qev0PydxH4EQIiCLCIIES/nFh44e+l4QvqfJy6cvnBZFMVykRhjdcOD+nZo3KtN/Sb1I9RKUCpUCgVKGo3T7gCByzrCO+iIdm+B63qKmnV8Jy8qmPeM5ZcFoNEZHnpEVgoISLg9wj43GAsIQAxQScBY7qWSz1+z56YZx7+t78i5TEC4XnD43wqSlTqBZEeLpPkDICo0KtKolAatetzDLcc93MpaJh5NSD2adHnPsXNp2UWnz18+cCK5wGwXHfaWcbXqRYfUj6xRKywwMshHp1EZtGq1WqnTqLVqpUqpcDUmfXx8QkNrFhTkEaG/fwDP4fsbx5vrsndGSeQIKBGA1Wa3lYvWsvKycrvFZrdYyxMvZiam5Z66cCn5UnFmboFBqzLoDX4GTfOGEQ2ja7ZtXKdNo8igAKPsA2PgpDHk1o1sisiWEHjtBScqXANave+js0q+nmZdPRdFUdttlKA1yHHX27lXbnElEjAEofzcUfPymSwvwzBgkrbjUFRr4AoPmPfRAkg3xEUUAMh+AZK1PmeJNHfRAd+E84tL07IKMrKLkjPyMvPM2YVFaZcLcwtLUzJzNWpVkJ8pNNDH16QN9DMG+uiMWnVwoK9aqQgOMCgFfPuN1/39TOW2UsZY+7atH58wNiwszDmkayMLdrs9K7+EARAIhUVmi7W83MHyi8xlDsrOK7SUOXKLzEVme3ZeYWFx6eV8c2FJaYCvvmagKcjfp1aIX2RoQGigKTLIr25kUKCfQSFIjWx45NU5e6XsY5DmuwAgXTVPzvJOmApwiSx1cHGkJ1lWzrEnHdT3fUrXfayg9wVkt1facPfFAQEgMFZqKf7ytbJDf5jGTtW1H3SnvVX/fbilrbC83GEpKy+2lFltZUVm26mklJU/bigTFaAPLGdCelaetVw06PVKZAatCgXMvpxVVmYjZgcAvUYTU6+uyWh0njA1NVWv19eoUUPOigdizGK1ESKQYCuzO+wiY1RaXu4gwVJqZUyMCgv006piatWMDg0I9jc2qhdmUCv0Oo1Oq/EzaAw6jRvu0L8ZV88OR26Gecnr5RkJPhNma5t151Uwt3Fc9wQaSQQUys7ug8IsdZt+ldlGxguo8AI4GwqiCHjoxPlSOyVczC2z2vJKrIkplwFJZHjhUn7q5RydVkeyL7q8vFyhUCgUSnAySiO0bhitEABBrOFvrBMZBmSvG14jxM9QKzwwJNDXJbeCXAKKXvW+skDArCXl+37TtOkFOh9ZGNzyzXeDdlDhYL46/8YLN4NIUraFG+TrEgCKjB05fLh27doBgQFAsGbN6sWLP1+3bp1OJ2lwN8g7cEmdllc7AcpJBRU0fnLWMF75R164EQScBZqHoFHuPHrLcENkQQ4QEdxesMOL2waik2tX2q/hqjVMAEx0/O/DD4OCQyZMGF9qKV25YlWbNm14cOHvcEXjTH4Obp3Kfc5lfx9WZBx5nUSVCZSbuN3+snOHGi9NQpR6Kom3lxHhxe2BEBg6E1eJ81QDq0gMVClVL7z44unTpx5+uE/88OH16sdMnDjxRgQBLqlFLqcgAYjHtBjISQgk+fuQQGAVG4FXFlQGpCiPMymEbpNu2S18BwQMSEAe/SThXqwq8UQQMCBAFJCca1ggAQCA5E7VPFTYunXrTZs3I/CaYHBdtP+U6i9lGxBxLnyn6gGIJPWq4T+8qmElgoAhCYBMSke73VvvpqxEZ3o8eQNElYaKliHOOy53Erqqt03Fi2uiUbwD7d+dRP6adAI58imZKuDUDsGrGlQapCd8J5IAANziO7jit3eHqFK4/e7jNT8r79xeuICL3zu9594QoBdeeCHBKw688MILCV5x4IUXXkjwigMvvPBCglcceOGFFxK84sALL7yQ4BUHXnjhhQSvOPDCCy8keMWBF154IcErDrzwwgsJ/w/x8jNttmHxnQAAAABJRU5ErkJggg== | The graph of the polar rectangular region $D$ is given. Express the region $D$ in polar coordinates: | 1. The interval of $r$ is $[3,5]$
2. The interval of $\theta$ is $\left[\frac{3}{4}\cdot\pi,\frac{5}{4}\cdot\pi\right]$ |
617b2571-094d-4b7b-9de5-6e1c7d7eaddc | integral_calc | false | null | Compute the integral:
$$
\int \frac{ \sin\left(\frac{ x }{ 2 }\right)^4 }{ \cos\left(\frac{ x }{ 2 }\right)^2 } \, dx
$$ | $\int \frac{ \sin\left(\frac{ x }{ 2 }\right)^4 }{ \cos\left(\frac{ x }{ 2 }\right)^2 } \, dx$ = $\frac{2\cdot\sin\left(\frac{x}{2}\right)^3}{\cos\left(\frac{x}{2}\right)}-\frac{3}{2}\cdot x+\frac{3}{2}\cdot\sin(x)+C$ |
618fb3aa-74d9-419a-bea7-0d8bafa34035 | multivariable_calculus | false | null | Evaluate $\int\int\int_{E}{\left(y \cdot \ln(x)+z\right) d V}$, where $E$ is the region defined by:
$$
E = \left\{(x,y,z) | 1 \le x \le e, 0 \le y \le \ln(x), 0 \le z \le 1\right\}
$$ | $I$ = $\frac{7}{2}-e$ |
619170f6-53b2-46db-9a48-36aacde4a799 | multivariable_calculus | true | 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 | Washington, D.C. is located at $39$ deg N and $77$ deg W (see following figure). Assume the radius of Earth is $4000$ mi. Express the location of Washington, D.C. in spherical coordinates (use radians). | $P\left(r,\theta,\varphi\right)$ = $P(4000,1.34,0.89)$ |
620f7f37-a726-4e19-ab07-35d802396575 | algebra | true | 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 | Using the given graphs of $f(x)$ and $g(x)$, find $f\left(g(5)\right)$. | $f\left(g(5)\right)$ = $3$ |
62310ba5-128c-4f73-915f-448d1af9b46b | sequences_series | false | null | Write the Taylor series for the function $f(x) = x \cdot \cos(x)$ at the point $x = \frac{ \pi }{ 2 }$ up to the third term (zero or non-zero). | The final answer: $0-\frac{\pi}{2}\cdot\left(x-\frac{\pi}{2}\right)-\left(x-\frac{\pi}{2}\right)^2$ |
623c522f-4d1f-4262-9642-f854d9f41ab7 | multivariable_calculus | true | 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 | Find the moment of inertia of an isosceles triangle $I_{x}$ relative to its hypotenuse, if at each of its points the surface density is proportional to its distance to the hypotenuse. | $I_{x}$ = $\frac{k}{10}\cdot a^5$ |
624efa84-cb80-467d-a3d8-d8fec7ab3510 | differential_calc | false | null | Make full curve sketching of $y = \ln\left(\left|\frac{ 3 \cdot x-2 }{ 3 \cdot x+2 }\right|\right)$. 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) $\left(-\infty,-\frac{2}{3}\right)\cup\left(-\frac{2}{3},1\right)\cup\left(\frac{2}{3},\infty\right)$
2. Vertical asymptotes $x=-\frac{2}{3}$, $x=\frac{2}{3}$
3. Horizontal asymptotes $y=0$
4. Slant asymptotes None
5. Intervals where the function is increasing $\left(-\infty,-\frac{2}{3}\right)$, $\left(\frac{2}{3},\infty\right)$
6. Intervals where the function is decreasing $\left(-\frac{2}{3},\frac{2}{3}\right)$
7. Intervals where the function is concave up $\left(-\infty,-\frac{2}{3}\right)$, $\left(-\frac{2}{3},0\right)$
8. Intervals where the function is concave down $(0,\infty)$
9. Points of inflection $P(0,0)$ |
6257ca0f-7795-41a8-99ec-5a8183d30978 | precalculus_review | false | null | If $x = \sin(\theta)$, find $\cot(\arcsin(x))$. | $\cot(\arcsin(x))$ = $\frac{\sqrt{1-x^2}}{x}$ (Enter your solution as an expression using only the variable $x$.) |
62adcd38-fed2-403f-9857-9f9c49504578 | algebra | true | 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 | Use the graph to answer the following questions:
1. State the intervals of increase:
2. State the intervals of decrease:
3. State the local minimum in point form
4. State the local maximum in point form
5. For what values of $x$ is $f(x) > 0$ (express your answer in interval notation) | 1. Intervals of increase: $(-4,0)$
2. Intervals of decrease: $(-\infty,-4) \cup (0,\infty)$
3. Local minimum: $P(-4,-32)$
4. Local maximum: $P(0,0)$
5. Values of $x$ for which $f(x) > 0$: $(-\infty,-6)$ |
62b5b762-36d4-4d83-a134-33f1b7699526 | multivariable_calculus | false | null | The force of gravity $\vec{F}$ acting on an object is given by $\vec{F} = m \cdot \vec{g}$, where $m$ is the mass of the object (expressed in kilograms) and $\vec{g}$ is acceleration resulting from gravity, with $\left\lVert\vec{g}\right\rVert = 9.8$ N/kg. A $2$-kg disco ball hangs by a chain from the ceiling of a room.
1. Find the force of gravity $\vec{F}$ acting on the disco ball and find its magnitude.
2. Find the force of tension $\vec{T}$ in the chain and its magnitude.
Express answers using standard unit vectors. | 1. $\vec{F} = $-19.6\cdot\vec{k}$$; $\left\lVert\vec{F}\right\rVert = $19.6$$
2. $\vec{T} = $-19.6\cdot\vec{k}$$; $\left\lVert\vec{T}\right\rVert = $19.6$$ |
62c22c75-1dc7-4a32-a21b-70f80a9bee23 | sequences_series | false | null | Evaluate the integral:
$$
\int_{0}^{\frac{ 1 }{ 2 }} \sqrt[5]{1+x^3} \, dx
$$
with accuracy $\frac{ 1 }{ 100 }$ using power series expansion. | The final answer: $0.503$ |
62fa87bc-5d7d-4724-a87a-fa6c86ee2cb7 | differential_calc | false | null | Compute the limit:
$$
\lim_{x \to 0} \left( \frac{ x-1 }{ 2 \cdot x^2 } + \frac{ 1 }{ x \cdot \left( e^{2 \cdot x} - 1 \right) } \right)
$$ | The final answer to the problem is: $\frac{1}{6}$ |
630ccb25-22c1-49b5-acca-5ee84f2d1f1e | algebra | false | null | For what value of $m$ does the inequality $m \cdot x + 4 \le 2 \cdot x + 5 \cdot (x - 1)$ have no real solutions? | $m$ = $7$ |
634ff1c9-b9cc-4e54-a01f-7a5a3af01865 | integral_calc | true | 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lcY6XjmAfclFCMD5HrCwI1FTzBPfZvBf3cbthn+0ztSTb6TKLPcUOCUSQEiWOH01//9Kf//f/17k//37j7y+QnQZiJVNRwrwsZahoRx9Npad6chFKEYAQ8AMIMkwGGUIrSjAoGYMZiEWD4ic1BShhC2ZxEmEWUcBcRql5EYcZI6otYQInWnEExsYiIaB7hQZXdVMSyuBFqYqYSgDAr7JJ+mjOIFVWTDmEmE8lY4nSSCAI0oygIuqd7S0ikcuflyGYic7T9/ljmiSJBCVEYHBAtKNe6e7Ho7hhx7+XdonqKd7XtCiYVpZbQWys3JSbWuiyQk0ZDNIe2psvdm8P929Ph4X+7vbbX/6QyEwZeq6iqEp/ldPIMgT/Itl4gnvhSXMtlcm0YGZNIAhpFpZQBXSNosYIUg7qCFNH13TdPvXX0HQGYpIAyF7SRVPHuKMqGcrctn/jgt/r7rsqzPdsPsEfZankc2hcgWpNoKin1stS33z38x7//+X/+H9/+8f+4avevdkVq9UCE12U5ZSVDKaraAvuaKKaiploUCkCte0Fm4oVKqCLT4gTUWAqDhIqJBpkQVYUkzLQUbUqKQo2bYTIG/lCkEJiZqURQROepkGGCMDWlqYYKqQKYqWlXmlYIhZos1QyDqp6rBkmAphQwPEA17UHTUI0YDi0kxqQzArPsYuAy725v1MwZpxaLR2hxik4z5lu9ejm9+IrTctX0FJMvpwpGoAaUsQOvJ4g6Y2m1tliMmK1cz7ti2swWrftv/vT//n/+P/7w3/5vr/7r/2X+8p8RNUIntQvH9vOxZwj8cSYijzxCQBygSF8ECahYZWcBUGTbTCTv0q2np4/A6vIpda156Ak9YARTBNEDr+hLyjPOUjrTLQudumcoEHlGvmf7me0RBF4mAgVgMjImgMGHd/v/+ONf/sf//u2f/73ev7lWV3M4TcQDzVGbwKZAaTVaSJRrSpDJOcnWSD1UaArRSFUWKEUJpQAiFISCakVEImAmqiImJM1QDAKhCLUjzRr3efSlTFNZjCoxCQmKMkBVFEVTyQWyqZiqCAMaQgqVCiVEM9snKmTOIyoSs4oJApryLFlK7yFBEAoYREIk5xlSHBsAFdF5oloEQ50BWBGYTrPd3OrNF5hvGRa2azqFpMi4EFGX6s2lVZ/arNFqBDCbT94mTmRL/5UR7/78P2cr883tfPsSuyKhNhpHfHaTyzME/iB7lAK8fAsuvXVZXwRJ+nJnQEsIXMd8ZLiSiaKEP9npxkxVVXBOCY7jnv/KOOajBXePw14UDSYj+9me7ZezR0SYTqvODoD1ePjrf7754/98859/iv27mU3cmzdEqJUIbdTQ3e7mRsq07I+LL1YKJDpNBQJGooOIqAqEUEFijamEEMCIu4iKUiA00b5+BUxQBCEIkNlmCEhWy1hjcj1zJZUNDIUoG+nKBtIoJkbNJhaimaXnOIhEoh3QCS8iGuwvmqAoDeIiiXgiAlGCYCK5OUlRigZkVQ5giumILjKpzWHSjJSi0yxqapNeXcnVy4cljsd6aNGiZ3BEUnbHa2sPbO5xNSldAcIxu4c3RiOaWswTasjh7dd3//nv0/WL63+5Upkif4FiP/O99PfbMwT+IEvec4ZDU+UdwyvLRF6QDjSuNQkIMFZnsUs3IJ+yZ6/TNaM7Nzj1WCN0KpOaSQ+AYgz1NdwpqiM6IyJAlwuErh9Bd/4gAIIXKPjxasJne7Z/rMlj/ANADzURM3iNu7ff/Onfv/6PP/rh7uVsENPa3AEqVBeXxQ3T7vbLf9rd3Mrbd+3Nu9pqSPYxSIhQiJuwiJgqioCTgKImpUgmEVRF7VxKAIEYdBRVSMrF5Po0FOfBrkN9JaNBHq4SGg0RpmpoQddoEjQxE0DEZYiMqZAaQCDQ29Fq7qqUFNFOAI8iRcMjC/wjVcoUoo0IKkWdstQIRYZqoQaV6KlQddGFJrYTmyCq02S7XR4rilVM333z3XJ4iNNJBKbQqGwN0Uo0KyKY3LSaeSz0Bc7S3JpHBNEYIeTr2y/uj/ff/vF/hu3+7as/YH4ZUUGUz7AE6xkCf5CVUt7rBUZEAxbyQC7BVttpOS3LsizL6XRMqYksyF0VrskgFIj0AkVQyrwJszyGwKW28FBFjmhV0y7WpyLx8uX1i9sbEZhaMZunaZ7mq3m+0gliAub61FbQHC0yu1yvfX6rtmf7/GyMm1Hx3l/rbR9MEQEGvT189813f/2P/d23O/jNvDueHCGmk4i52dL8UFHMrm+/fPHl75re3p3k7rs3gigYTWERChpQVNU0igaVgJhFKdSFEcgkX4RNk5IMFi1qyPZIplZKkdYinF0ak71RUC6ChSpCMsLMpDWNCBXZ7SbSvGpEFhoqENlryUzNlEyl0nFZ2PdYSkFumn9VTHcg3T0omh0hVBEaolRDiDlFDTrBjFYgxToQmumu7G5huxrh4U7QrJ5Oy+nAtr/bH5b9w8x2XeyVXVsDjovUarJcFei0qzJXmULV4661EJfrKBSzIkpp4bWdpqhtacsS5fqFf/cX+/1cbAcl0J41Qj8n2xI2t47Yk9K8fCQRDPel1ZogtyzL8XR0f2jtGBGaPhj6MBGq2Wx2dX316nUZEJgsFh03PHo28MMQGIFR8iMRjtXPpABBxv39g0eLbM5JqEgxm7WY2m6aXt6+KGa7eZ6naS5TMRvUGRDij1Mb7396Sf5539ZPN3hkn82IeLZ/rMmTv08HnQiJWnl48Id3PO61LWrB0GU5+eKTlWkqosVFW4CUkBJSji2OjSw7MnxQylo4qEXYKEYTSO2ZBgOsoQCRsUQiEEoGAw1QQbZJN2B2tGB4KrmEqqj06OmoRcgYYmT73sRy234pUdhEWkiIQK3QDPQMW6In6QUQUUEphDCC4gyEWhJYqkQAZkW0IL+7KNS0TFfTLkQdShGnJMx70CEOq0tzeC7Gm3sxa/XUTge25TThpojC2U7NTxLLjDqVKEGNupyWarc+WQSchKiaapmkzN6WWpuWcnt9sz/steFqN5kf7r7+88vbL+x2IgEPMfu8Ui2/Rgj8YcG9frNmOd9GlGkLgR7hrbXww/5Qa23u0by21ryGhzMQdMJXYnfWF5mpFiuiYtknpZRpzRWOgEqs1X/OLeA+hsAMaWbYNOi9/IddBTG8uteIEhbuCYRsHu5VUI/Lsj8tIhDRojqVMk3Tbp7neZ7meSrTVMp2wba9bDpe6UDNyw2yFPJ7rvPnNBKe7Sez802UcVAFiGxxCwJGCIlwHvf7r/+Tx/vCqqRHSf1NKYVF1XS62u0IFns47DHvHJyvr11L9CiotBwcHgvCwMk4lwBESTGlagTFAFOKhnszQwSEUBXTCCGDohCplMi6dUApHeREFLD8FgKRyAChQEQtWzlBRIqF7ars2mSEmpJmIYLw8KFHAwCiYqHqWkgJoWuESmiJ6crLrlIAmBmyND5G1FbMrESgRYT3MoxUJw2G0/fHB5XIIFS42zxPwpmu4lci16oTvXApUif12TgRGsqWca4mcVLRSapOuNmV3W62aQoopMGK2Gy+XBfAQk733/zx/7z51/9mt18SGiHFPrNR/yuCwMtiA+A8A3fxhM0rSaOMsb2DLn1AOhneWm3V29JaPS3V2927d6fTySMYwVTaLdN8tdvN8/U0T6WYGpBE0HGwrj2XBwh0Dd9OgNuqwygeQeCj1GCgTyGi4Ib4qQBZDLiSXvRLkhGM3pozWq2Hw6G1lvidkc/rq6ur6+ur6+vdPN/Ou8msWCmllGwyNg7sAKKrQyE1kDbUOJJ9FfvYR1yLEi/LEce6ZMsDfLbfgm3XTskyISR6+yMIoF01k6zHu6//HIe7Cc0gAaJYUSulACIFNzdXMpWT8/7hbQNZdlc3N261QSkaotFbCgoFxiCXSWtps5IqAlBk0dSJUfVWxYwMITQjlVNNQAvT0ImhYIGIgyG0pLGoCEIkpa7DT6dQLWaw0lScjVZgJabbKK8wXZlNxcQEyqA7W5NW6dFaA5FJPqhRDFQnAliktN1N2920LNeHIEOoHhFOhtfqh0qPaM3dvbVsT08PQUUc2/G765lFyAgwbsr1birFxBRzUUMUsCAMqlQJwiNERKZJFI5gU4EUn4peX0/X15OWUjHpJABOLXZXu6nVQDvt394d23/xBSIUi5zMPiv79UBgEk7WEjqsThZ7GJEkexrtXD0w8vNSAQABHFt9+/bt119//e7du1qrqk7T9OrVq9vXr/XSOjWmr2GTarYetAPuxyVYs6RPz1DBcRbbp/zA08CoC4RI9HIHyUANFKBc38yvXn9BAcnmvrR6Op0Oh8M3794uX/+1tSbgi5ubL19/8dWXX33xxRc70RUFnaQHVMySxiZJ70kykKhQQPQeZo9v+/ctRJ6pN79ZGypJBAMSkhxNMFIbMJ1DDyxHtEWjAq6iSepKOmgpNmmZ1BzmaBHtdLxfYn901FC3ElJoE6ygTGqTTVNRLXC0I9uRYIiIgHWhKs1gJq2FIJMLKAVm4Y2gmamZVReYsEhW+DIELnQigkGwIQQhxUUkRAJoEa4eEdBiV6+/+rf/O6cbtckMJhR3eo3WvNZwv7+/Px6PuTS1Uub5yspuEmsRrcUxuK9wBCPozojw5rXCG73V5bQcDhYQhqRqKCMiwFDUK2v//Z9e3u4E0Vpdaq2TETxFa/QWgtevbmczMOAe4eydCh3sDNHZME9WpjIV3V3P0zw1aAWrA6QhtAXqkRBRKna94UcWnXxuo/zXA4EptLlt6RipHtapyNBObAaGn9UimnvztrT27bu7h+PxdDrVVkFM0/S7r343MthxfXVdpmKabb86IzQYqd6A6LLU68n8QPHx9BLJ740oftDyDHrlfncQoaprkHJZFmh/f5omVZ3n+fb21iNITmZtWQ6H4/94+z8iYi7Ty9vbL1+//uLV6+t5lqKabboJkqZiY5HXPEQhqpdwh64l9XkNgmf7OW3MkbISJ4Q9RrIcWz2Fh6Gzr4WI8ECDFuXOTEPpGi1aVLIxajRng9YQhzosRKAFZtBJrNh03ZpANEeuu6mqFTMzb22aS4ZOjWZh7k0ERisyebRZbVbTTqCmgCrpN/XYiGgnc3qwuTcPyYDKfIWrm/2r39PmXEIaKO7hS7QlyhLuC27qdFyOp3o6RrjUQD0y2GosdVmitfDU0fbWonm06q3SG91NcDvZpDarzVOZp91sVoqaaFEKT1y+u1Izs9Ad57IrsyoYEa2pQOhRK9wZ7q1l4IgMJSgsxco0TZOVSC1xuHuNqJU1RCEi4S3YGlRCptFhMasaf8k762+zXw8EApvIJxJaMNpKotfgjS2CbBEP+/39w/39fn84HZcWQUIk+WDXu92825VpMlUR6S0ppSvycRBUsNajDszjkwc/5LT/5nYda2eWVZkhwz1dPLDXYCROggKF2DRdzXPK8tbTSbOOQtXdGXE4Hdu37c3btwZ88er17c3N1e5qVwpUKHAQmXjJ8Mx6tbeX/0MVF5/h8Hi2f7ydZ8zxQgJKBGt1bwynDMoyKAxFKCGR+OSFbgqaCkgPuGsAHtEiGqtHCwbEYU13cvX66AK1YsUmy55/XQU0Yp6mTB2Yqai6O0AznafJq8+qAwJ7mVGP/qiJZt5EyiwUbcHmCptuX75++eKV3b6Q3e5ejFI0nSMB4IFClmAh2oJogqaoEqdlfzo+1NMpamVQ4L4cvB0VIYCp7kyL2nStk06ms6nOxQrERExFRUwcUoUiDGG1SXfFVBDi7pwEQno43BX0toS3ZOEKe/m9SDGRELFpLvNUTKQREe4e0lpIhIgUFZVOyAuBqp29DgE+Q4nQXxkEAtiQXHoscuSuWuYDyNrq4Xi82z/c390fjoelNQJl2u3mebfbzdOkvaRHusZEKa1Wj+iR+GBW8wqgottS2b/N4u/rV9W/4qg6PMd/x0I7unpS3zKH9JqAnMo0T7Ncg+Tgui4P9w+t1uNxefnixYub29ubq3map6noWQSn5yhkdJH+7G79Z/uF7Ell4HrHup/bn/f62VCEgUpHVEFIREGoqhQpikLdKVpgcVkUJ/VT5dJaa9FCFlQPSss+EZPOBc0hgBpNyQg1Dw86VSHi7kSYGUrxFpV6TOXfXgecFUlKNagGxKE270KsBVzKfHWDHWa5msotdLrbHyDZhUlEBEE42cAmCDntgzXo9BZ+rMv9ftk/RFuKYGe8klasFgkVmYpNk+4m3c3TbipTMQUZFLoMPUbQI7xX/cInwywEWb1FrfQWEa01r0v2V1JQmfS9bDGYChwSEJSik5ki0Nja6jxous+iSkg4RAb9HSOl8/k1C8SvEwI3Ltn6+zhZ3RFR2/Lu3btvvv3262+/CfLm+vrV69evXr9OtT9TNbUAW20tAcGDyBCiZOcFrnU9KuhRv5Xc8red8N/+2SFkLxs3tKuzAUPURrWoiSpUIsLdW12yt/XV1VVy6XJTnVXVpmnG1U24Hw6Hv37zzZu3b3e7qy+++OKLVy+ur64s3cHgKDe8PJ8PPnm2Z/u4pdcHZHY9O6AwNVQopNAlaCQAFaqGEVOR23kKmBNBtKB7LB5eo3lU8rT4YTkRKFbKNDUuwQBEQwKugeYeESYqBq9O0GgTS3NUlwghNNIthVIkREM1xEIMNvlpbigNSpsUqMfD6bBPWLl7+wCIaU+dCIBweIM3RPPDwnqCH1FPU60vIlikaJlMdsX/8PrF69tJuLh7L84AlYtKUycjvC5ECCCkjdoKm0xVgzwcjmANMpYlau06AO7wBujueldUFVDRMkxEQDrYRGBZq1l6cNNKhBQpNDNRJQXG1DWVHhnrFL/PcMj/eiAwh09XPumq1Km5lJRKNfLf//ynf//jH9/dvZum6Q//9E9f/e530252j3qqt9fXrdb94dhaM7OsG5gKT6fTaTmpCLVLOVgpWIOiZJwrXbcn80PDoclV+Tu+t6ykm4u/q+/bmpkxZXpDLWsWFS6i5LIsImJqpmpmvUo3eaXk7csX+/3+3dt33737zzd3b7/84suvvvzy1atXV/OUmm3ew6tnbTbFiMA+27N9zHgRKCeypFVVVfpNJMF0TLJSKGOf0ovfHS1bNKDYDKWoQky1ABpksPOiBbE/CBhmZsVOJ6s1GC6KYLx48VIFke+aJTXGTKdpqo2kBSaiS4sSArEQDS0Uq46HJcKswk4hlRoqxe/bd+3+7luHPhyOQBEr2l0spTvCJVzD50L40Y/3ON5PrK9u7bbc7owWrn68kmM5Pgir9XBOSDYdpKiIGXSycLbW3JPP0JzRgiCcPJ7qvLtO2C3g1WRlmjJwU0oxJKJDgS25obXm4Q4wpNdPilgpNDMXOt0dEqYoKqGZqwXc0TxjTZ8hAv6KIPA8mjbthpzYn07H0+nd3bu//PWvOpUXr7/46g9/mHe7eTeLWUsZItPj8Wgiu2mayxTh9XRajscMFLy4vq210iOlyPpxcs0aQYx0+eZcNqj2fRC4Elb/pm+8jTw8gtJUSbyad+njRXOHC5k564zsTKVkzKnW2j/VEx6pzIvr29t5t1uW18fT6e393dv7u+urqz/84Q+/f/16N03jLM7nc/HoGQif7bGln4d1zXSBgQIz5XAuMmkH2ugKlFl9JnsGDAlHiwiqKkS7TLaoQkgAIYKrSW+CJM1YChbBooyIVDjj8s69KjggMMhQVZ0mrU3FVIpAKCYqEBMrUCMnWnEtX1ybi1XaKXCocVj88OALJdRCJ5lnaqEVmoUaxMjkULuES5DL0Y93WO6LsqDsil4VqC9sh8k5UySqe8/ABKMl+bzn99tgAgySX5ew0aL28vZqt7uGCoPBmOcrUyUYns10jWRWEdJdI0QkyKx3bgIxIYFawTBAoRHizhZBFSsQNoRDQYZHQ13gFYzPMRL664FAXta2A/DgYVm+e/v23d27+/3D4n57c/3i5curm2sz8/DaGjsFRjOMnvFtSE/rjjQbMwfWMxTbqZ3ntOMjf+6H+3Zxrh/80Rbp7z1mZcq4EGPEjPMke/D0QuEUXfNwPfOIoEoEVWTe7XbXV7vTcv/wsN8/vNs/+F/48PDwT1999cXLl+vBV9T7HFeCz/aT2qV/wDVNv3ktIVBMhapZ4qOqZgUM6UMrxaC7W6RqRZl5OgUFoRmyFIVkthoKTvRgBVkEs1kpmAJBqAhFw6MJAOlN4xHBEIGxCRd1airX9PacBi1QpU604jCFuqhJsVCp4fvjcX8QipWpzHMsJawgtV3UqIYMqEaQsURDPbIeih+lQEwhKg6Jqm0RUahJhJLC0JwhuqYTCKCvE3rZ7tBuZNbxa9ntruaEQA8vJRmpHvTwyMZMzd09gFRMVZAJcphMVIPu7nQvgIkSJRcfSVoScbgbENLcK+qC5Nd8hnqLvxIIzBCoA+zSs6ju+8Pxzdu3d/f39/u9Fv3X//JfYAKRZanAEhltGVF6M4N7ay0ishYwUcHdT6dTBgm5May3nZxr4P82CPybnaU17plV8WMY5En1s3X3Lmyoik3NCIlk9iAjo2qj5h3MiSZ1cQXGKKXsrq+n3e7q5vr+4f7hYf/2/i7cVWQq0243d5a7gBEl1xPZFPQxW/TZfnOWS7TLcqTLqEfec+6tNRFJFoyJoQtBGMmQCCooQQkGCIWoJD1Dsh17Ek8YLAokgVOktVPK0GuADBEVNaWoiiimqylXtGamKq01ZqZQ1espalV37RmWAALi6CjmQngNiKraJAWBQIWeKDbtpOz0cHxgiESBlBCFFqc4BYTTpVWJWtjm4jfGm4jryl2LIi4MQ9GAihoks24jYklRtaKlWGQ9SVZG5WAPJ+kUD9iU3ScIRy/u6rTwLjHlYLZYUlBAEaGJKLQUK8YQH2obKUUlomqCDDCLS0QICDdBPRzmuiiDQfnc2ub+SiAQQBBBBHpn9fuHh3//43/8+T//84svvvjd7353dXMd7JWfAEiqIAQke8l386HZJ5lFyN2SVNVtwm/rLWUYopMx5eJd/GAU/PhGH99JRvEp2LKRz14fzm0sn+YsKaJiABhwxuVbyIkAIkHWFh5VRMq0e/GqXF/dtta+ffPu66+//cPvf/e//tv/IqIhUkROx3p9NUUNktdX0yPkGx5znttnGDR5tr/NPp4eFkFEPRzefvedqh4Oe4nTi/ll1nVHaxosqmWetBS21vy0LIlWBJlp7Gg+T5MWXZaj7nYMD4VN0xIa5Tpr8lsTQEMlUk2XgO76OViBaUjL8S5majvoYuBuKtHc3UV1midVDe8deANSg0GhGrQQVrN5rkphxP5eI6ZpppT90uarm5PTqVA7nU5TuZ1MZ8XOsNNW/CR+QjuhnSIYZSfTtZa51brUE6Qn7SKdtqmgmI7JQQwgBdAMEJO1VpsLIIgIUItCRSbTOfsMM0LmaepZGElWDRVQMGVvionhOloREah5IJUMVNVgJiEKhlvBl69f3X3zF/vnw9UrsFab589rvftrgsAIQk2rx7dv3rx587a5f/G7r25vbso0cbMdkDkFrgwm4ajnHvoyHwKe9757rrj/kUWBiQbvJdSstvXt3rsH9FrAsf0Pdirlh0Qtz9WP52gtVVR1d30drR0Opz/959dfffXli+srEcxXU0B1SqGCi90/ZwZ/87Z1/i4dQdWA1KUyYpomiRDpqzcRhSJUg9oCLVhDJDSsqFJIVVFVKtcktqhmZ1nVMl2ZMWMd2RJQIxI8oQo16wRvVagKEwJUVKmm01Uxs6mgOVtTRbaqhzZRzYpB9SBATUc0JkaImMjMKBMRlBlUuVbYtbYQwmDlOGVfCymKScOgIgWp71ZUCdpOyhXKLFZoSsBKybW4mmaUa5UWzkmLw9cm2QhlAOIRLVxCUwqmeUBFxTJYRoAypioZ4R8QguxhfzGG1/rNcOrIq7AL10SEZrnI52a/EghMonTm6+7u7//y9TeH/f7q6urLl69FRE2BwTo5/+JYs3p9NZQRD5wxcrN/XjzYOnzjvb8tENo/9Xesm7iBvQ/u5kPnsoZwP/qJxGkZUqTJj726vo7mh/3hr998q6ZFpVzt+hpZJJ1PvmeXz1D4Gzfmgu38XwSEzjgcHsJ9KoYoyJojpE+lKUIGZCA070SV7gdle/feQpYqlNHWQdhzVEAqTadjlEpgSJppPmD2lg+S2jvMMyANKiwONLoSDCojPMsTrRQz6eQAQdYKZCsmMURIEw3JHkbS1DyVwWHCEpmFo8IFGhmiFFFDr0PUrKlvRI0e6unfPZUJI1u4nwcvhyoxKE4aISnJKhIQAg44iQBzOgySCKHgHCiKPhdJ5LNImf4185MXvutNQSVAb431xHDI5xcFxa8GAoHMycX+ePru7buH/QOA3fXVze3NclrwFJCSv3JZzXchzTk+sA3hbKZwDmrbRWbjvOWPqXP4+zFhm3Hb3oOP7sdHTz/mBG4zNfk/6QrdAhiEZqYlCk9LPez33755O1nZTfNkvSYi+FQq4hn8ni3tfCcIAAYAp+8f7nVZStYPkH06FRExZHYPit6zIYYcIAOdrdZjKiDlvDoNb1nqIFkRjlR6CqS8hamMqUCowsA5OMSAJK42ohEaVCEkwl0USQYHG4Y8E/ND7Kq/LgFhUVKjaohEFQYIcGFN4TRXVcnyLWX2ooAoxahGFoaTvvJgiI6iguATCFydQsLJks2bREUhZv0A2nMca46Pm58jXTpRgLo6Bbn5KsGookozoZpmBsnd23KKVsfC4ocElz4h+/VAoABLrX/57rs3d3dlKtfXNze3t6rmDAlR0f5zruC0Bi37szVRxa6mMjhWnXPJAY2SbmO/5yhYSaI/NhA6TuDvKax/tCtgpXx+6O312fB03+sFrp/gdq3AoRYFiIqpXt3cmNn93X3Rty9fvLLryUzobMT0tHL+2Z7tA+buh/uHqS7FRCAR3sPvJEARiJgMkkvOyuyQh0DKXHoQwaR7hECUSgFUMxQKtR40yZpyyZr3APqN7l3rkCAamZwaUVGKGgwwFVMKYQoTwhdEQ/ecsntS5NiAqpVCqJYdVLWxE1VJBCW8WJZyQEUpib+a8lMMkr1zrlC1WDZg6jCkQiLGBDUGrwQikfKsGKMiQCobo68eBEAEiH79tOu7dGZfDPHDFfM6W07VTCFqgq7XA6PAIeFtWU7RFtDRC1bwGaHgrwcCARxPp//481+nYi9fvb6+vga0eagUdw+JofC84aYBGEgXPUkIAYI9DkpAyDiHGMa7PabaS0zfE0X8aELxsX30bvl4pjCVYR6/xvPf7UEeb0iBCEUGz3qz5fi2fSgQKVDRR4WqiHijqNze3NQyHw6Hw/H45u3b3fw7NekXxSTee9xn+43Z9+Sn1UB199OyiNfGZmiNAXcEw70JTRSTSxbIS0QEWwuQDBHA1d1dRQhHazRGZNfqihLZTAWioRAGUxeTCiUKEQANZlAHsvOJUZ2kO+xU1NGaeTWBaghZpClohEEkPAkl2QQK2XRIQjmFF0C1GdQm96kJ0gEVonlXKy3FrIhIZL+GbAoRDJGmBJDNkDKom0w9sOcdLzIvlLVCCkAE4AnniYUAQEc0phTGyPoEiLU7TJ9oukCB8AyFoqJGhZow3N3QJNL9jeatLYvXBneUz2+0/3ogMIDF43g63tx8tdvtCO6Ph5ubm6x4DXeu5Mi+cBpRA2Asns5vnt2jywzi03fHji7sR0Hgxzf62E7k8WfPNYKPorfj4aP7M+QDTuglIiILo5ilkxCSBgYDMCkt/MWLV/V0/O7t2y9ef1GuzEyU7zncs/22jcNhwuPQQ604nXqfS3EVjkJVCgMeUJVw0WwP5BJBkRSBUVMhpXdjT68uw4TCJG/00h9kJi66ohMJGEdzA+kVBuM/IRhsrUnO+vQGgUqQkHAKYIBI6nKOxCM984JUpyynBuocKhrtWIsoogkpolYX0kVVW1GbxLKPQ6B5Vg2GUIqGWLhHh8CSECiRxB4KU5KlX09ZyemkiglMKExohQPemrdaAZRSGHT38IAAahnX8XD3gJFBKr21aFU1lGiI6gqlMFCXyhasKkIrZNS6sFV8fLH+qdqvBwJra8dlCXLaTWLqrdXWEojOpMpz4HzoaOY9I4BuBuUGdh4Bynvflfe/+SPsI5/5HoC83EBGelIuz+0pKX1Eeb/3tChbUmp3fiMrhhmszT3i6vraW72/vz8ty/V8VYo+x0Cf7X12MXTWYenLsR0OslIvBGYWud4SqMAApRuFDCEV2ek1gFCRBAQV6ugYlp9SxVwkepAPZgIkQwSAqKJohzwTmgQkCFrSPRSenQOnCdIoIgopqiqMlh06A+EiHPFCAp7F+VIEpWkohWoqAhNYViBRlLOFhYuGKlQhZkqK0CTjoCCghlJ65hMiZiIinm0P13jtugjeKANH5OaW/SEQoJMgm7N5sjoRpHu4qyjWvtge8ARgAege4UGSog64ExRFCMPDhaGWfcIZ4WztGQJ/SSNwPJ0eDofUGcz+V6JCclkWFRnqR+cg4Uj+bby99X6SrdvH9S8+8O57nKgf4wV+/Mb5WJ6QjyFwdbwe19zx4t9tCeGH9oy+n5ET6HmZ8UYgRZXqUrNsl8Hj6XQ4Hl7dzqQG+N5U4KDPPSPkb9XOmrKQfqNGPe7r4WEqOompi6qVMp0A7b0MUKBFYRKplUJgsoxnCgBTAcW09363roQrRaGqtJTbFjUV0CNzgRBVUxIBYTFRy0bzNBPTWMhixcpumubWWngThRY1kfCWoOERAe+LRMmG9REilKJiJjSglKKCom67Ao9ejStAKFRgAiUsQCkQUFMMJ4KiavMUTVoTEc14aXNP/zjc+wI1L+pmgLuKQ4sWAAymcBxJiFFCRIpoSGQVtIoYxLKYGkGIr3nAzG7mE/a2jpoiye5KUzWqaXIKUv6bn1/q4/OHwIQ0wVLr4XiIiJR+L1MpU4mIh4f766vr25ubejxhhP26n7QFAOromCBACDTz5JL0M2Z36/5ujzgysjv7+T5cWVkpciG6AZ3YuF567qT9/XWBHywhp5wBcnvT6fchb4Z6kCUO2+X4eFcEynNwuBcErTWC6QqaAWitvnr1qh5Px7o4Yr8cWrzQUCGtmG4PeJFw5dCq+ZxGy7P9fSYQhTAbdqGTOwNe23HfTodJdZYJPKliKlP1UNGpyCSqkKkUUZASrhRM0ySCYHi4mhJMNeqsDMxWPqqIpZKUoIoEQjPVxhCA1F2Zc2qfVGUUFKpqUaWxpT6aCBTRKIEINBEPiKCUUiYTd3bAFQKeTpOailBdCS0mQnGFZvu/zjYdNLscExzL19yTniv0cqCwV/HmvKMiNk3IqWcFvzGbBaQSKYomIaIsVgCEWhlCM713kruIpD4qgFIb3EspOk0CGhlmoqJWTERbiuiIhPiC0iFwliip64Z2gB+h1/jwlPUJ2qcGgZcaJf3f85oROQU7kQsYEQQYAZPwWGo7uYco1GqLVuvL2xevXn3Ran14OJT+w+Qt2IEqRjaP/Q7roEBkj/kLd4+SEfg1fiOPsCtpNHmURxyTj37nj8LA9wVJ5ZzYXHfYbeV6fcjXi+gHz8GliX65PhBMVgRwb9UDHPGe5HBTuoKOyLEuwThGvTvsD6fjKWJWnUbt17oG4Obc5Kmf+my/VjvffEqZCA4RQyoqooGndngTh7fXky73pysraqitEaKCWluLyM7VouLNq0du4OFBqgqB1jz9sNZcVYOhIkL12sIjmx6ohySXsjdeQFG0cDJwpb7UxAb3upunY63BpiUivLXaajMVskxiEXmIRo8ITx8QZDYTFYhOk6jV46kYPEwEwmjLklWIEcEwpugY1dQgmgUJkRlByeIECUSrrbYmkGKASESkFEDmBd17SwwAKqqmqgZgWZbWmqlFcKmnMt0uy1Jry1BOKSVIT8kbEQvTEAJR/eQOhpEqslRvrZmgFEKFjXBxokU7HU+3tzdB2x/iGG334tX+u6/f/eXfX93eokyA4fNJhHw6EPiR/NqFrT1aexAgZ2SRU63H06lH5c1AMLgsi4mKKOEjCbj59Db4OcTTOvNxuErCRL5emhMbkseoQx3zfNfyXd+VDXDjSXxANvv5228X2aDgB7b44DsEQjgaHq5n3i8rgRYOEMFgpFq/iiokMh+YrWjA5k6Eg8dWv3v39p+WP9zudqJPMW78AucTf/YBfyPWF4QBzWbrAhhSpbKCS9S9Hx4QznCaejAQosoYpWvZkpMSGY2gekTz5CmbCOLCcm0noYykifR7XAbFu6uKOsSdQbaAO0XFA83Dgt7C2evjshsRVFXgyojoVEt3RshoWJY9HSQ76pn5coApurxwopQADI/mWawh2sv8em5uSDMGIGomCne498lCFNHLHkUV7vRkz+QyXs9Ffu4ewZzdEyAjwsMzzIUuJepOlxz6CYHwRpdQoWXFSEZLGRRA6aBE9BYTDcVhlY1QM+Fp76d7SOuNAz8f+3QgEN9Lzlgtk3zn6VMFwLIsp2Uppbh7kGpWSjkty2wmEFXbNmdfQw8fOA/BZgOOjriPUPrpp7Z5uyfbyOUDed9bP9Z48c/fuo/NHHNxQi186/ytKbzuz5EOIjsMt1a9Ld6+efvdaTkFX7zvlD6ngfFs/1A7h0bWMECuwVK0xOupHvdeFxml64Eos4Y7CRUV0Yv6nxGuAFbe/nsshfCBUek2VE3AGDIPgIxauh73l81/TM3urE3Mkr4YLYp6bnx8jCQiEDFoq0h+6MDdTAQg/8a2/RMk1R0jcgcgQ9UA6ZGULF7aJA6YFygejVdhV75faewjc3E+4/HeZn5bMzS9086a/zgv09fKQfb5QjUoDhBipSAi6om+fCzk9KnaJwWBj+39yNAXXReedhDJ8Z2vro7H4263u95dTdNUa4UZgFhloHsctCf6Nk7hCHGuBeM9qJmaBxts2zJCx+MzXvJiyx/yNf8mDmn/KLi9mX/857sTmaNrVP6NM8/cpugIf+akRYgIRVpEEGU2D98fDvvDYWn1zbtT9bYOs+2Zyib1J5vh9Wy/SbuYh5dlOR6P8KYipHs0ggVTRAz1XuAS7VQl+959BALlsnfKEB3t8IZsQqtKxuWHdLwOHXkykjreIDlyjsKhJsPRpFdVSymmWqapjIa0OaDyfLrW4Dj6+u750pB40pdm+zijoO+/rEwspmrf/sI7/sG/jvbqXxlrBSHbSrfNK5l8UVXx1o7H47Isnx3+4ROHwI+YSGaUe2u/WltrUYrdXt/s93uF6Evc3txc7XZFtS7V3S/KAmXIKwxEvACitTD+/Lh7gT1AesGjYTxJx52R9Qfg298BgRgH/tG7yIuQxE4MjD+PxvP6sgc1sq9KjktVpcAZoWpW9svxu7u37/YPzZuS7vT301hVEfi8oiTP9o82ebI2AuHNl+Vk7nMpiKCTwuxQlvE7ISK6BHPHGOv5sMHm6A/MrJTiLr03rGG0D5S+wwgyiEhiCMnktohIKSVLBvs+qVZsnuecPRSSkJYHVdWeS3kCgVaKmc4xm12AXGYHGJGNcPMERCT3v4JcgpWqlVKQhxCxcegV2rNHkm4yDoneJEux5NICcPe8JjG8wGKF2CwdzFLbUyTTHWZWzAxTIUt2lhdBgkXXFBdRM0/2rJVTa37cL8vpM0TAzxACOer8zgsr4ng8uftcphc31/V0XE6HvWmxLu0jwmBsV1vpz6+9kwD0XN/4CS/cPllf6mzSC1fvHBvcRkF58dnv+UY/+iKc7SLd+PRd+VBeevsFLq7BQFSRVEHkusWaJc0ECcwguDs8fPv2zbuH++Zepqkej/f7h1NdbqfCsWg4H28Tynp2AX/bNlzAbLvXlvBWBKoCSHYFyi7tEm07ilacGDpFH6NVicDMkti24k1ERDixNpY4e4Hr57be3uoFyvDbgEwLdhB6BIHofh56Af6mPmqlsaxb5t5W9y4PCiBzN729e8QKgVvvdkXNzfcVESFh5rlQAODu0zRleqhD4FQuvOcNBCalSE1KKcJgFAWKWY9a92tEkdSYCSPMRFognNFA/wfdHj+ffX4QuNr6ywexPx5qXaZSrq+u6u3t/uFhWU6Hg83TnENENUPcZ6fpLBcPrAUCG0bnezyrj3tb/MDjn9pGLPO99n3hxg+caIrj8jyAO9aqCkQjmeKmtbVv37759s13p2Wxqdg8HY+Hb958989ffvXlzQ22ENgvqGxWBc8g+Bu3kUM4Hbks5Er/T8npgIiqQSns4NE/tonvrVN5xDlFN/w8iTHr49Gy9TJB1omYjxg1/RjnPWNg3qBCS7hHxMoRX307EQG11tobOXXMli0EpnOWr7v7ow2yaGQ9ma3ntyLX9itgRFnT5AML30fff31+LiskI2k+5mPshwfAwTCCOMMjhXLyYnh2EUarOJ0wf2ae4GcGgevNtL4SgBMP+31rbSqlqL16+RLkcjwtxxOC9Mh6oewK2/2aLqxwmbJah1h/9l52S4cDWRNmGxy9GGY/2Ln7u7zAvyMRiFFB2L/v6iUn/rGXDvbRoqpqMqI6Trj7/fHw9ZtvH+4fbCq7eWdqUPvrt9/e/fO/EL9/4imfU43PqcDfkPXV5Pt+cRJk7O+5HFNlJcKtU1ckp3tV3ULgBv+wBh63rtXZxxIJ91YdWaigmlNHRHi09PySPbdaf3dYc1cwgcrdQVIU6Mc1s95BfUDgFptFEOHAObyZA2c91VrrCqWttTWim09JUSOA1lprLT+7DYSuqB+DNJvXId3K1tp6xbZfML1AaS110/re2EVCI6I196BGqIi31loDw1Uk6NGyM7YHa/NJSgTCPZYFFKFiWbi/l/cy4T5h+7Qg8NHFk0dvSI829JA6On/Jyf3hAGKe5lbr1dVV3NweKK3WaH5Y6jzP0zxzJbmkTuDoGo81obYebWWGnVGN6zlxzSGOlCE3QPQ3oODfA4GUj0Hgx3Em/eJeViH9i2UgJYlsOZw8ggJT1aKiGuRpqafaDqfTu/v7/eEQKsU0BMKYrnbv7u7uD4cGTGv9/+pSrx72s/227CJcKYD2gUggjg939XRIoRevVUqPDbbWupOHsxv3FAIx6CHvgcCIWusjCHT3hEBVzfJwd88HyOIB94QHD6dvPD9SxhSUB7Xk11y2+5SVTqO2eoFnOB+W+b8trq+eWTqmkI95geupbiFwZDdRa11jqnVjPYkj4IBGERH2QKi7JwQa4OG5fzCSA+AeIhTVCNZabQpQGN6aW7lSpSwnv78rf3iGwJ/O1sBcEovHfRcRS61W9Go3HQ6HaZqmacL1dSslIu7u7nI8FLMYvttI7z1J+I1bJEtoVwjpkLgGVcagzLhebD+L9zz+NG2VskEmL3NcdRa3BAAySI8gGCLhgPvS6n5/eDgc3969258WK9OLm11zPy6Lity8ePn2cNyfTodl2c3zxczHUQS14fg922/S4vwfcToc21JBklFbUy1ZG87WRESysk+QbYhiBD/XLKB8n0GgA5V6/BBKnsnPHzJsCCaqmvX16xF1pZhuvMAN/uk0lfWIWwjEQLJkqeQOMy6aXiAAUrKsaz3iUzrM6rbGSCuuOi/LUtd05sWlANL35fa6XeQCRQNmZZqmVAoFQ7X7oNkxohAenOc5KB6MGlNRNROGL8tnhSjAJwiBH/cTcgWYj0UkGNVbi1haFbNiRglvVURKMRNEhF9fEQhvx7ZAVU3FVLO7dF9RkoClpN7qyq2kG2AdKJvFaD9L7VyRMWK2pyobYPwoHH4PVH707fXOvtjwzEf9WE4gl8b5pXq+A+dKJIo4AyJaipo641jbaTntD4fD4bDU2hg2TWpGUTUEwt2PddldX59qffPu3evf/56AR2SnMgTdqxTt6rrP9hsxghG9jTtJUFc1hgiEH/f7aK2YqdcyTSkQJmWGFTKb/mU6sIvO5lxfiq2zv5mRZ3m0ZDDqkP4S7T3zShk0kMC2EGLlpKywsYXAFTk4sm9bnFtjQutm61tA56CujuP6kRXwEhRLKdswppkROZ/ZesSEwxizXwZOV1ey1ppoCnSNtTxK7q21BkBF2koiHQkOSenU9QpEaDFVY0QpljnA/GLpmObXzKoPBEzVNHmhCK/7+7s5YnDoLtzWvAjbnO4nYp8WBH6/37TZQkQIqfRjXVp49n8upuEt01YyFZKqt+7tVOtyrKIaNIMKdW2JO0iQPfMnHe02yeIzXYYjCZhu4ba7yntOft3Hx7/X9737sfeFeOpScY1tPomyrvdf/hNj+43wvKynxGyRJHCP43LaHw774+FwPLbWCJRpntSqe21uxbSUiDielpe7+bCc3ty9+2+//z1H80V0XQzXlP1/tt+SkVvHf3Ckeq1RHA/71hYVCjmXkh31VFWspCq0ITvgnX2y3NEWn96zbN64gVvEil6Wdy4TXAdFTtCJHOuZr8HJR5PPOU0+2GKPPhXhEZqu2xo7RU+5nXN18oTYEhGAhMTq5K3feoXARLIVp5NQM+D5vMP81ukv6ngjMgW7hlip6Vd0lDLNM9ztpn65IGYa45vGmRkEAYqKiZgg2nI87LuSwGb9f16jf5KBsU8IAlcU+ZjjImeJiHWR9rB/oAhUPfqqB8RaD1HUPIqKwsPBCLalEVnpKpILMVV3v/iBxv2Y/05m5+Xh5gyTU7PqRz/+Rj/9Tx5PKmS3i6zt8F5fGiFPkDjVKvlqtpzJDQQQBGHFWvhhfzgc9g/Hw2lZUmNJTZFNNJH76akLUSulOPlw2D/sH7rYBNbdZvRoHPvTWgs+209mnd7SswmjTIfIigiR0+m4HPdsVcOpQnp49gvy2lpREQjCAZCSeTsRCeo6y5NsreURWmtmXcZTIc1dIpvxdWJn5gJzZA/P6Ryn2ULRI+YoNuVYPQ+X0cihoLQ6OiQjtNZKMnVHa63rB/OprE6qSKb0sMFIQtSjlLLSYXLPKzyvZ7I+eISR2xcT7LPZxJpBXOkwsSZBeh40gik90zORiu5TSkqBB929tUoIwwVQCVDCW3gdI1225/n08adjnxAE/hB7BIECocd3796KaZlG3JydBlJERVWERXUq0/XVtbd2akut7eSttRYebCG9BmeHzWolKTNkFwN0oPOpcEa2czB96/A9efC99vENv2c/T9a/Z+eVkC5LeKYSpKBA7lIBU0uxcent4/soJRmIu4eH03I6LqfjsrRIUflJTdkVgQPZyo3u7qI9Y9FafTge7x72C1EEkmcgyFpfEQWFhDz7gr8ZE9WMBzC1huCCgCQEsrVTa7VEM4WJBoI9StppLQFBh5YLt2zrEn0omJJBOGxu7PTn5ExMOVfg6aj5y2gqVKyUFXhExTQ90ng0m/PDi+DVUXv0yhZr1w+enVrKdptHjtQabk0EzTBphnkxAsXcZAF7lHUts9jsBIPegAGow0X0iB5qpkgmZxPnPby1puapyUVKNAe8UWK/J6lycZ5bJP4EUfCTg8DVEXzPpcp62E35NgFnvLu/szLN85ypYEXvXLJGsRViqtNu5xFXflVbW1pdal1abUkFC1fUbOCz1g5mOmH0S7+4cddTzfVskmJkKAFuzvcHoeDfDoHZEwYXw2P7V96nvbSuyJPTll8kaS/u3sK9uYc7436/X5bFyRBO01Smkmm8U61Ra8Kr9nbdXT/cSnFvS/P98bg/HndXu23XQNGudsgfpBnwbL8eW6FgfQpSyBR7FtLUptQ8ixBCTUUterEgINkI0NacWZl09brMTIQJA+5eSiFVRco0MUSCGRJKhywiSBXF0JHpDYO2EGi9GWwnmKQzJ7lk3MQVO4yujcfG+WRuL3wupUeP+tQ06jdy49ULXHkrei7wIKTv51G+EGPxbWbTNOWLrbVpmnJ2MitXV7pdIuT3ivEFRWCws3s7VPbH5CY5FaQszppQNLOM4uSkoZrhU4pQJLxFDfB4uHQTzt7qehqfmn1yEPi9JnKuAwighu8Ph9df7Gya1LQHV4BM5BIQVRCZUZ/UzGyepuuYq/vSaq21trY0X2pNYkyuKJmzu6qoYKxqegx9DXz2JFri0PtWodv0x09g/SxGvnDrf/YJp5Mvhx+GPnAxRGV8dFsZhVCtujdvEeGj/kTB1GNcozSdCksCVFUTGxkLSe0kEa2t3d3fv5ondHENCIBPcgw8289gI3IC9AUQASICxyM8g2k5tGOkOBQJMXkbb5wedI20c2Iv6TBbIzPLYSiSgco1HRjZL1DRgWpwNR8BjEj24D1DlG7oLfnitiji4nUzta7itnJtsHXyBp8lSS7bz24h0EpZA055tuNidkRZLb91DLaL2erSbY47OA1quvldhgr4WDqLagm21qYypSQoko9qnocKEpBSinpvADqZICgR4RXLCXOsBZGrtg4vtdw+HfvkIZDj76rDqWcSSmMsrTZ3NRPT9C3SAyRJCAMEFIIIrzVXkWoqVnYznTv38Ija/M3bd+6p9jCasHBtyj7uhDylDHwORfXOOcn3Nl2L0s8ajz+GgR/Hx4+/GxGPXKpNqHiteU+nVjZn2G/34/HYPNd8XtP7i3AGyACudrvJ1CMCGf1v61Apau5kUE0oIkOlPlRVtEzFye/evvnnL16HWVYH2sDhTzQt/mw/nWUcZTRnSOUXodBb3N+xNTCSmp1ler0GwtZP91g9thyXS1y5OJoIx/AbIHr+VL4wUtJ8dDOubuIP/WYi8r7xzfVbj4Bkf/3yiO+NG41tzn4aNk8wgrqJ39vdDuuJz9XdPF+3S35AP7dH3wh9wsvFbE8UqWl3wVWcpsXUQISqCKZijDAIGO3hYbr+SsqEUcHy3uv86dgnD4Eby3gj2ZO3BGqt94dDD1yQ7p48jXGDI+sWcoEHgBH5a4jBVItNMmWraFzvrlvzZamnZTmeTktdlkwMu7OhMXrEYNwaUMVYtaXu7Yfkn7/35/97coHsLNWLEb69y9cTiEvLV2qtLdWkIrwvG0bmQCWyN66qgiRb+LrMVC1rLzcREahAu6KUik1TkN989+b0X//rdSkBEcK2s8onOhye7ac1yeVgJvgQ0erDm++8Hhke7tVd6e4NOdtGtHBAFJoNAdNDSnqIh+Q9mw5Q8v6xpcOIiKjXEJ4DoWMguChWFFlHh/eWfR6hEb0r4CZ8muGhHslMIMqB/ygQCsBCa60ygp8rZj8djLIRSEs7B0IjHtFh1q+Z4JfMUlWttff7zbeWpW2Rr09TKQkSkb/CGZ/Gonk9H5KtNYG21iIolpElAAj33Ll0kQFP104EIvCIu3fvXn3RpqlfjTVb+QyB/wg7s4e731Nr3e/38/WVmgYoXIOXKoRmXhCiEJOMSBAQISRCzuRHqOir612A1a+WxU/LclhOy1IXb9VbRBzqKUVS0nIwYCTGwz1a6x1ynzCgflIIzD5qGVcaDh5Xp7RfK7LrIXX1B49OoYaqZj+k0UgNI/IhEDkej0FmVEdVJ5HQ8+VXVYIMRPYNFF2vj6rUWt+8eXM4nV7Oc5II8pr1hegnGRJ5tp/QNquyHjwhvbU3b95kaq3DYyKBqqoxOYpMKZlIJZN1msamKhyjTrzPy+4RThGVttSmhIquNXb5rihUdZqmGGLWj8BpdaYyxxYRCSAAOFKD/biXEJhfIVfkgg60PRs39py2xbztK/m1RIkhkKarMOFghHLkLx6d9rgajbxYDYtIjKa+mqGdxG8RZLpnaJyeL6N2emgOdncnmNIwIuLRPFprVQVepnBn0Ft98+bN9b/W6bqf5PZr/kx32o+0TwcC+6R90dpgO/mv5JOe6BIIaqvH03Ge567fnDIQ0lMISbsIJnu6dwzMyT43ywQEgpQIggKFzKWY6TRPzb2FJ1nmsJyquzNaeIvIiOngD2M01TxHaxKb0EOEmf1guonsG3D7rTePP2bcfEA2eefNCO7/69gXjPBR/LehyaiuB1tHSJ7CKm5PhhVTnuM5PfMJADriSfCIgHfqkOYs4xFsrb07LafWGlnkkbTOc0HEb85ENnf5aEAS7g8P92CYiYVYLqQgOhWdig9BTgcl6xrOlVCynVj5XhMh6N6YA3uk9IIR4Qwmb+UydNJ3KWvaG70aPUcX2L0ZVYWsmvoERo1gPifXofoIh2Sk/R4dlZfxUjz57PrK9q0nF1nO68uR+ssJdXVv3b1ISWe6V9YDOi510mrGVQCAYEgg8XC0VINaXkzdhNuQvTOOD3dRF4SD2YwHXDkz46TWa7YWymAzuf3M9ulAIH7QFRj+TfRAaDscDtc3L3p/aFGFdEHCdckp0nXRGKIiHZf6r9GJJNFrcdKKqqrMkzmZEcKr3dzCPby6V2/ZJL01b95IesrJJ9BlG0P28YNBSAkJSaKzZHR2cz/0woYNu6V/VwDgptFlrPX85w/0GMUGBM/M8TEX5EFENhJNIkIgSx3SObvcDQKhVvL4iaS9al4o4+YNCUqQ0b8DNUgEnOKAM94ej1+6WymWP1mE9vmFeDKAn+1Xb2OuVEGiC+/v3iKaKU2pjAJQtIuOoJgWZqtKoJeuZlWNqFlneskGGLDO/BsqGjvmPvqvT7/dIQU7t1qy7DVpIzJYXKIqHEkWb613gxgcdR1DOIK5sYySg6SxErCNolsmG3vGwQwicMfQbUFrkCSmKqmgiUoppqKbWQJmaqVr4lixrFYCABMxqJogh3ZfJQQI6c3DdVNQIaq5YDc1GIsVNcWIAFvy/XTMmiJl6owKSCnZgyl/VCq8nt58w2WPWCTbI6YmMxB5EbAKY3DTrx4YbUR//knhk4JAvOcKbOgwfTkBmEoLOnFalv3D4dWrL5OvohAhwjmce0nvsC9ARCDiQkqwcyW5djI36+zr6K5UcNTmGLBTnURYSt5J3dNhX5keTsfD6ehkON2bu7eeV+AILOgZAkHIGQIFUC0YvuK6lsynuEwp+4DAVK4FwCCdcl4vdj3EXiyRXUMvXcD1GOlx547WasHxlgjsrJrG9LHzJLvnm8WBEHS+LNFnq/SHSwnV/3jz3VevX0273SwIILyJmKh0AtEzCP42bF3D5b1hViQISJB3b97ctJOyRSwQF1VSgs5w6lTKTLrSESEpw5U8FxUIcuk1Yvgj/NKDMZ0voCkBqKnMTeYiWlUFakpBSqY43YpRkiVgiUCTTulMllIinIJ5mqZp2u/3VlRVglAVk67DgZGiS4SIKCRLKWrWarV55rJkrj1jiUAvljUAtYLUIcEhZDErxQTM3r+9il/OU4SZFnSWirnZ1BmhUIjJPE9Buke2SyWpJqrm0dRMREopj5xXE6IUmyYiSDdT0lQFKsXM3YCexciosKhOu12tNUhVkxA/nQ5//bOf7hFHkTJNM4UNdBEAjRCBArJZhIw75Eyl+JlnhU8LAnUbE3x/Cqz/YEXltCzNfVWSTabKGn44X0ntFzeS5qRClcuqNGbQcqwLKRGDwoZeAAAqyCAAZddOz79K3sxXu90V0UPtEeEeTl9D/GsGICIIMMK7NCki4E6sRC+c78g8gyz9yRd9Bche84AiVsRkBc/BhkVHUFnpon9DMnpzk2peCALgWIr2oC6VYLaD77He9LzFGe8eHh6afzF2NdRhJEVDn+23ZgJI5Aow0BqXUzT31lAXqyeDwzQy9kiB2ak1G+UTzhB3kuEpPAZ3Z4SO1up5hO7YiIiImc3TjIsuCunceIJc6V0peq2hKnJMrz4ch8aYqnITSlHVYiUj/zrq7NcIZ69fnGeSUkpCjs6zARYhm+pAXVvyRuS5qWqUko9tiGjreJzL2aRn91wgQLKTgBgETEzNrJhGT/RnDgjjcNlTPqekNaC6zlTuntSBkVd1qACSTBxRScK8MbtG9IRirk6UTf0AX9AqVGAM6YLoALZR0zHRd4bAY42rn9E+LQh8j10uCUZMAwAOx+PxeFrLS59Gxs/7GO89DbVf7HyDLo9e366VtqeWsJkjhkITjeSIlB5bPTtwGBA4gvIxYpYipd8VAwLzUAmBMhAsI+vnkyQFMC0Gk7OkS7LLg5vE3U9sa17zsQX59t3b/elYGTtRJ7rYVf/Us/2GbIy1HqYXRhyP7f6e4ao6laJRCqQkBGpBKTAtVInIGXQdhkEKAt57+K0kxgvLCArPDBEAOuQ6IyJvQPeeIxkw0A+UT33TybbD7XgsWQoxusavEJh0FVUV1SSd2fACZ6AtSyd21rqekie3c6ipqeqyLEwV7FLWjF2u9ZfxQYxuR1nw3h+PkXg6nTDYN6rKkLWcv7UmUtHl0M79Kwb+NS0FkvQiP88kHLGoGJSfGPml7UUn6YHDA5Yjdtpna/nwHPEJ2CcPgU9sdU0Oh8PpdEon6Rc+JTLcKakWSqRDBCi6u9nZqCT13OZyRBkhKKvfd2an5X7lEkhl5apkzSK7JM0Kz5/MjZaLkruH+4fDvrbGaXagiH46Z/hsv4yxl9S25XS4uxNGRi4wptBc5kpf9Z1vl3WZK4O6nPnspyaSBcGJlx0XZNNjNiFQOlP/PLxWCMy/K/t0hUDb+j2ZhsjQx4DAFXFl9DvMPXprbM1biwh2HBru16hkWKE340h5zoltq7u2MkJ1lfwefmFGmDA6GuanxvrgjOvjR6B7rI0mzvnCCGFGdMal3WRZAIiKDedYRmHiZsqCgLG/5+ko8/VoifVJayF+QhAoq4+8ff5oi2EEjodDrcs0T+tPm0uzc1pMLvy8R48vhtP7nL/3vjh+a573s44WgQSj5yxzDKI7a+j6aflIRUV6PJEkG3qWJJsqjINKb7Nw+bXPd2ZSxYM+8oIkswPbz2Tyvh8JK/vGzPYP9w/7/bIsmOZMx3Zdg2cn8DdmfbW35o0Fy3J6uHtnkrIL6dOFAAEJuIgTHs2zQBvbWXjVOCJXz4mMUkop5s16+ZNgLRGWy4/LWvnz2C7u58ee5RPLPaicA6HsWTpbEVcvDSMqm6exfXG7MbYB2PFYNuHZreeFDQhtLxHP5NXzcfMqRfT+aGuIOL9y9IKTc8gXPCvrAEPjkBRTkXM/wr4oB1XZHu7bcpxGS25574D/ZGaATwgCf5CJCJRAAKdaW2tXtzf9V8cFpF184vLpBWSOB9wAHseCFJsl4SM4XNdNAExVzYIUXeMFXBV5I7qPOD6JpEPmaAtIBvQBkOiB0IGIZzwjpSt3D+pJrm07wp6/41YXO8jsnvHTGhWXFydHnmkJcr/fH4/HuH0hMvKtz47gb8847nkVCgOIuhwP9+8mU823RCmgKpi18MJeWRRjOCaIDoXoJFWRIw7EaSpTKeFRSnFHcsFkSkrn+3OBZue2eWa24uoKIWvteeYCt2AmqvRgErtGsmULcgBIllISYGyaCslROx8bYTb8eAhEJ5Ru1L6fgP1q8thUtXfYkEuW+HZ9kMdaIfC8zYgVPzGoYFI93N/fnI6TAggwktETg8b/qdnnA4GdRdH5HofjcanZGvfxV9j+JNuf7emdgfdB5oc8P15GEtaPZ/lfFwoNjowekAg3CGjrMm0TVu9jerLCLJtac4FJmSRDes6fIuRwHDuGEgBG90tsvMDz7t/n2v6D7Ew4ilW5/OLKqIhO0/xwONwfDgFMeebaebef0Drw2X5K4wiHJUM+8Q+Iuhwe7t4oOFnRaQKmIlHMSIGalkIrQXqt7g0RqdiC83js2fUR8RuSLiPXDlAgPJcU9cjnNheYw3cz5LfD9Pz6+18ch+40xxENwphV1lRceoSpvphhzzW2iUEifRQI5aavxWrbE9gg8dmbJDozZw2f9vMZR0xQF7Fxxbo2TYyzigiEiF4u/cl1VyA6HQYqej7JjtACCPf3714eDznO5RL4ZDvsP40J4DOBwHHlEtECvN/va63rym7Es+UHLjOewuFT5MMT5++92wDo+tpnN22T2OAqW9rRK1FyzXpQBFkuMfxQkr0ANwvqn6BFhkAzusCR7M9jBbgdNz/oWvxdNsLIALonfWaKgjJfXT3sD2/vH07edla6B5iXhfKJjIFn+6lt4/knqcsRdTnu93dvr8XDq7cq3kZeW6BQVIR4qynYvs7CMuKNOfdGRM4D7k1EdEzoEQEwJLx1fsq6DE2ITC9QpKxu3xZf1xjPIyBcHzALGKYun63DZ4rRxV6GpNmF6yUS54f9gQ1GK1dGaARHxwkMx7d3jd+ckqQSlpmM1oPODsDTNK2iNmYmsBUy3X1tW2E2IqXAukOKEHF2HjZtmzBgnh+gw4BA+P7hbjnuQQcDDFGKXGqe5Mjn+9bOP7t9JhC4NQGJ/eGQudyMVuOXnU6j09QQ55EuANkZMTIi4sFRewEAvaYu1uL3FQKxljWMOCchg1uc+x9/LrVosb0ffx5OaH7R9XGeWAZyo+zmw8PDu4f7U6uwsqE+f4IRkWf7GYygQxqittPh8HB3dW0eDd7gMUp4BBBGCDzcwYvsFDaeGke5kZm5ZynBSGJ1nRQZCfnHGb7z+Vy8/njV+yh8+DT2x8uiiHVX2xX2ugL4gTf9inCPIphrueN2m9UFTLgielA32wcmBDKEl1nJ/HIp/rteVR2yMn4Z58T2oCI62ms8+sogEQK00/6+nvaIBptAlzFvXU7Rj5gEv1hY6JOHwHFZ+nQ/rvXxeCRpln25uFYEypNY5d9mP86L6h4oVscm83SyCY90Lji6wsLmSOdVGEcCbwUwGzosj0OaOQCI7apwPeGL4fdz+IJPTYIEY5rKobWH/f7hcPzD7nqNDONTiYI8289lKQlEggE66ylOB1+OnK9MBWaIYgo168knM1EtpkmShl1EblYIXO91HcqHvUpKRQSmRmcOsbXzn4hESHqBOjgj62w/TlYSSKTnCFVVZbTNSwOQxXkmZ7nBLJ7Lj3SWJmkRrdZSSjJCRSTJorIhrdTLogiQiWG11lzrJxe0Dpls2zTFxYYFgzHh5PY9/hlnNqy7rxmSRwxYAGToUJx5BL2i3SMUNRHRQYc5/yJBBIDqzX05sC0yXWXQW85T43uxjs8Q2O1Jqu3iGVM0lhTV+/v7iLjZ7Uop+9NBeyuID+95XSvpEI4ZpXgYC8B+lAvHfqy2hpuZr58T9OMmWg9+sSzKCiZ28MP4nbs4Qt8z2pOUw+oOni9Drjf7JzK5wvUz59NGeskriD62c4IB2JRY9NAs1sllnNDHrunZuv54QEI4Kol6qa9N093+/k//8R///YsvFcjBP5fpGQN/I5a5wJGlIIrA2/7rP/vdt69uroq4AVBDMRMxM4/ITLKJhmqk52FaVkGvHOoRpRSOmGGOC2+eAJOo1LypaG115Z4kaOVodneA0nXOMpKpKRaTkLk2jAXQWpMhcnYGSEhEGHqrh5vb2/1+LwMCd7vd4XBIh6wHJHe7VqtvBD1UdW11y9H1Ih+XUqZ5XgsNSbbWkN9uXQpIh+GIOJ1OYro2QVwFaNyd0R8MaOwFFexL9X5JM0RMSYxba+G7iPY8zVmGCKz0nDMEioiaWGCeCqbJHh7qX/9z/rdbtZ2rZPh7rV17FAEVpGLkhYboz2afFgQ+ta2fTCBGNPxUa6oSRetha35gHfGP8gs/EfuFvLofZ4RQlGBrbqU0j7uHh7HSE2Aj4/Nsvw3rEBgBOODL8d5P+0kp0VIwL5Apo23MjVtG22ZXqcOCDAKyv3hJaxwbJ4yt2JmAkdtGhOq07nYsbi/yXpu3NgvNdR2cr2/KIfLBGtdJcOKZS/J4bY1L8kue5FoXaFmPuOFt6uhAO76ijET8+btvn64HWi+JbGQEMgOzskx7HeTaWSBD0AxQubFzZG5dso9TEURbTqKoh/vj/buZAQSz24d8vybULwCAnz4EpnGsJaESgcPxWFu7ur5SVW9Nf+nS+B9rvCAI/OgP4hPKpH3wjiWEkNOymJk3v9/vD83NrOhzdfxvy/j4WQC+7O/r4aEI4Q1quRW7CO0KYH/bKDmbiJSpJGCUUtb0WHaKiYhSbEWIjCRtYQ+PcoEbULkwnP998t7Trd4Dgdt9dkZrhjHNuhLNJo6FUVAhI0u3Rb7VubzYeJQ05IFKKSRS4Hr7qWSwphyajLbDT8b4xyOW9OUks9Xj/rC/f9Vb6AQQn6wn8klD4DrdrxAoohH1uzdvGNETgQxRS/3bD/00673y85zq+cVtE/nRWYXfB4FPd4I1Pjl2yE/CF1y/Hh+9nL4eiaXWm90u2O73+7f7/e721lQzJfTJDoln+wfa9lYn0duKeTs+3C2HhyIR4YOw0j2oVTGZPXHIv1lRVkSmaUp3MSEwfawVAlVT65cDYLoz1JNfmyK/zAWuGbJ1/+896Htf34KrbAuZnviXfDK8VxS+ZG9qagKvm+klWJ59A54hcDBlkAE1PIbATtw7v6UqKiSpPeEX75t8OgaTjFaUbTke9w+QSMJCr/v8/l/sF7BPGgJxiX8+8sbffPutlZJRbyQ0ZmgaH1OH+ZlPO7JyVy4g7XuXtY/ePafr5DHs8QPZvl/KePk4+6cEmD0rTqflL3/965e7eZ52F8nxZ/vtGKNDWj2dHu6W48MOEQzpNUBCKHGufZWs8el1NKv+CNDRcbhWEWMGJxQC7aFOICJO9bQsC4CEwAyEqoqaRsTV1e5JEfm5vP3pQnPrq2UjaY6W9CQl+yRdVtDrKGnfvrV6kytQ6WUJfAJVGsanYqN3mueQvZq24LrWjWzPlhsCJ8nD4TAqRy762ab/Oe3mMk0rI/V8XS6vw1OXQ3qLcpqitmU57hGRwsZ/8y3zM9gnBoHrtfrwBNlae/v27avXr9QUwDRNp6VmbhZ8D+b9DCjIQfv9CNo9uhEuHMTtR+T8SsfRi52MaeCHFkD+HEbomJyE/Zv2b2BlCpAq4fzzX/7z//rP/4RpJ3h2AX9bdr5X07Hb3/vhIepJjAh/pCGZyJbtW3RtXpbMC/YN+q761utwEQZDQjfB9nmac4OtF6iqajJq6GN1yzZdAEVGgTmA7juO3N5azK72MfXL94Q9L32+R74mL0sRrBQdyjJbOOUmw7ctQAbAQE5FWywkM6l3hsBpmqcJ74VA95YUGzJpSaO2hGy1l9tDO/diu46VZPxKqFAZUasfDri/w+tr0kICxniPuMgvb58YBG6MT/4TkeZ+rKelLvM895vDTKRtL+xTL/D9gYmfyC6jg49int2fk/csjDr+8fJpPiZx+anzQPpkoPAS8oVEUEqZ1vH37XdvlhQTH1t+esPh2X5yI3159zaWo9DDXSW6inPe0eDICJ7x41HIQDblaN93MLTWktmYe0tCsqoqO6cm35GnzuDm8YoScmGrhP3jKGZcNq+IUcb/6N31rNbDrR95ej6yBcz1+22ClshhJcDarWlV7h46av16CjbE8O1Ps15xuXz54hsOaX4MuZLz/KoiczEFFYG2LO/eTC+/UpsgyILQ9XcZk8XKlP/F7NOFQLwvbXaqy/54EFUrJclgJOWTpMOcUyA/8hfefnD74tO3PgX0+9A5kAiiFGMNASB4eNg/HI9f3b6YzZ4EUZ7tN2IEff/2DbyqwFst+eJ7bmm5mCm3yNPfHnfQZr37CKLW9rnnw29I/ABUMy39ePeyEXCR0WZPNnWBvSTgEgI/TofZ2vdcowGVHB7no0+tULhCYEfcTRnTCoEAwAsIzGtLIum069fO3Y7F93AhRtCm7+GjZy4i01QaqQqE37/57vW/uk6CbFr+8a/9C9knDYGPTIDj8XD/8DDPMzI6AdZWi5X8+fUX7cUzbkfgCXKv7/b38Jgpg/e+te5qy4gZ7/ATyAXmuX1gWIy1vSCLI721t+/u//nly+ubm+jRlGf7TVnetnF/9470otK8SZFxv8uZFd9DJTGiP08w6odBoIpe7667hqJq2cQVrSTR/xzqXJN03JScY3NmutVh+QF4sAWtrc+3ffChT6UAaYyKjlXMk5vG9Bhzwvv3sLWhzZ3PpmkGPsQI7TqhvfPSgECSXWBuaFE9MpGuYFVMl6WJzQx/892blx4mmioh9kkyAD4lCPzwDbUiyvG47PfHq6srd0+uV6ttd3tVl4V00Vzcxai2zIXk+rebdG33n+ErfczWgPojU14kDrebfXz9SHkMusjPfhwp//au8o8Pncvg/F+A9KBAIQw0p5ne7ff7pb24hgfNfnx0+uKiPNtnYwJYpghIehz2e6UUs+puZRJACR2DPP+ESEADmr2IVKF2dmXO+EMOkKTkhlsHDpItZ1fIycdqCrF1SbnFjIs21+4p2tKlR0VsCLUwG1YnoF7QYaBQM1WDQNWgmkKg6WCFhpAKCYaKQi3761JD2Vk8KiJxmXeU0Y+XpEesjx8PeTKbIGFTv+HuWcu+4lytTvIDEBg2FclGxZ1n1Bk30RvKUz64eiUQCLblFDaztvu3b6I5CAUhiPzh1jjreQ2fad9fJj/yKUEgAPcMXRDwXLmIxBYCl+V4ql98+eX19U1EY3A3TVGrZet2GQpkgGTxLHo7oey/osI+SPpYOnttK7o8ilechwd48e4mco4zjxsDAvpOc48YH+h7yM66HBqgK7CNSIaMvP/aJr4XTD25YBwyMed2MgOKzgn4sZNByFu/S3/EoVfTXwTOX3Z7TcYyfvOt+27z09GbowiFAhZTRqia2hRGC/nrt2//6x/2X33xqqisUhDvxd5N6Op9b/8iY+XZfrxJJ8qH5FKIzvC3b961N2+t1skmr65ShCrB5ksFRKUUI1Cd1SlCkyxd8FzX9jtwFJtjZK9ElMoUZBjRS030yo/I6OEHwCWn+E0RIunOrTeZil8K9aWVUgBGc5kmUyWR5e5mEpFIrURMu8k9KwsgwnmeAIHENBUIzRSYVD3CdbJkiWbCTgRiHYqmuZQoIkJKmWaSIhpEENF6E4ykyMRQ4j6dTp0yKlJKiaFzzY0KDDYB3j4hDHxd1xYcM1OtzZuritqkpqv7JxBVa61Fa+v17N8hvNUatQqVrbXDIeYTg3BCKAVFRDFEgs6Tpo7s7y8zoD8xCMzfKn3qTY43f/PafKkRxDTNZZpOR5dUyG3NukDaxZKo/ysJKpkYWB/IKF37h9l5Nu/IegGBgjMond9dgfP8wYtvIJervPfeIhvwff9uti/y0bs/tDrhw7sfYL4u4vNb5VTC3p07l/Hlbn94d6rHwI1+8s2kn+0fZApoj2w6ouGwX07HtrQrQnXypc0hJhIggkSoFlUVMUpQJQUuVREhZt19IKO3JBtrUZFOCSC7+2IGEWlMUUWm4OfZI5SkpSA9Rmz00jLamWCgoqYW7qa2HlSQkAyAqub0VKqCwkohKnuCESmNJgJVE4GoQiBygbX5BVSRJBgyUqkNVBJmvVkEAFUjqSMQambSWiYmW22lFHcX1TKX5l0irkvPXBZjqFoERc5F92ldHUaUZHiqiVqW841EZ27cVwC4jOiSDHcNN1VneG1cKk4Lrh39x8RombMy6PMH/Z6Q8k9qnxgEprHPmkB3AbNf0MPhtFQ3m1Q1+jaSTGgxEVyWqvSrug3p95d/CnroY/wFLmpWn3g8MvDx0WbdNvD9+FPfd/KPaaXjxXPUYbvl373wWr8Xz0ehDNfa1IQ5DiVEjq3dHev94ldX9guu+57t5zQRFIXQAY+21DffSUQqtUgLRromEhSjIvv+qJkVSASD3rYNwLCJxGwhcH19jeik4yJy1h5b5coASGCUxm9P9jyhY83/ZSCq01N8teTEXEaPYqObRpw5oVTVbQFDjIby2edt1CAygqnkKWLruVykN8fXFJEzJb73gi8iIr1/XIh1OdPcs45yeXYx7r5jDvbpeaJUZTCXLt1tw+PTkCcOx/ioztNEmIsK4LX53T1vvxK9gruYnsumLu0ZAoedg8QiqiHo4uMAgXfv7o6n4zRNZhYRgiw23bSp/IBTt/3Zntp2IfNsP9w6dV06TsslzOdkJEXDMz0RprIs9e393d3D/VdXr8/7+Z7D5O7e9+KzfR4mKhqtEVHr8s3XfwlvUylGRj2me3humiCbzukCMwumvNbF+JUnek+5A+0drLupSMIpLxWoM0aa0HvOG47Mw9krYoRH9moQkQhvrYrI8Xh0d1VpraSfl0Di0SKiO51qk9najVbXhn8RmWJMZY905jAilgmuEeG+MDJ4dG55v6W0ADCzNrzA4/G4eoETZxEigqtI6ZD5jHNrXLbmA277lcyN593VWpJvZlYsWxL2pYNq15fZ5BptLAd0mq7MWqNLqWrVY//tt/Pv/mW6AiJQCMZ7Xb5fcEB/ehCY6UAbt3hvyAwH7h7uT8tydXWlvWEVsgY2RqPIsY/Hq5XN7j9JTtJnazK8WOUFVoUAQDBUJg8PEioi6oy7h/t39/fxu9cf2e37j/Rsn6XlQikkslP86dtvvmmtTuhqmDJ61UbXfeDqJ6WnphCoqfbWRXLWpB7j/RwIVVXNqAP69F2m0mEvJ26R0QiiZCLtXDq8OpPrrqZpkiLTNLXWSikRrirzPCdWqUoptoXAaZrWGgYzm6zoaHLU9za4ndwIwQB49DeTmIBuvcCtpswK5D0cOlrmAqmTpe41mdobSg3WQ8zztHqBKwRyLcy/1Kn5kBeYq5D1+wJ9w0j1bYMoGf7mzbfXp8P0KlP/mb4dM0WPQv3CY/tTg8DecFxAQLo4kgCEk8flFBG5enJ3XX+5TloCnsY9L6ERuCiz5cZ+8V/i8zLZJBWfhvPXMC9H/sRERDUU+9Pp4XjooZDvYcLgh23ybJ+4MVu8ANHacvf2TbhTPJVZTLXXjUt2EjgPyRQHlFTY+8C4loFeWwhM667kE7tcH78vC7Fi8JN5X0ffQQCqslZZ8InUmY2e79t3E1SSw5KIuL61Onar+wp2zYDtCWzmK6zFHquRzKsQIT1E1j9+xlE+KZl49PXDnejKOPl2r0+McPesivfBW+wv5omFe/OFrTb6VEI90O7efve70xGMrpJ8/h3lE0mEfGIQeDYB4NFpnUEeTktrMSLdGz7HEId9tl/KPsTqRA4eBkQgShWYHttyfzwemt+WH82G+V5m0LN9kkYgoIIWfjoe9w8ID7h7IyNlDjlYU8IRuenUaPSY+hPO9jlf/mGxGI768h9+qitC5G7X2X+kEfsGTyF5iyj9wRPQ2pxVrHDI4cXmu+naMRCMroy6cdG2e9v6cOspnml3H7YUCF2Druuh+5eEJAT26yYAZbN/YqiSMssqRy8Lhrv74l4bKQ2FIr6/f9eOe3gd/UC2123jYm7+/sz2SULgqIsYurfijDfv3pEspaRgXS5t8pcoVrZZwMfe+ngFl4HQ771Rnu2H2LbIUkZotJNuIekCqoiYOiDFFvd3+/2bw+F3L25/1D3/lOb6jIKfhzEzQMJ68vv7uhx3DMIjGhgiRUQgKqIUGcDRXTQRYQSx6jzL2CVlCALHgITutw1GaESoCPWMImeI2jDMzjMD8Cjoh17QsUG/SzBbD8QN3WZgxfnpenrsOpy+AszW13T31HIrRVr11pw8T1+rD7cF2lXvLT+YuUAxxaCjr5tvzz+1wh/lAtfzFzUZPqWm9vKZKKPrmXRy5wV7SESFDghUBSJF5VCPsb9nPcnNNR41xR0M/Y1j+AvYJwaB45pQ4GBjdq+S2to333wjqvM0qai7q+q6ZBuxCOhHFUeeLtzSxi31PKP+ONtywrRTQM+MGBE1RWvNI8QKVHypYra007v9/bffffffb66xVRnm5YMn4dAtBD7/VJ+TkWgOaaeHh/2bb9ncilqoiEIVppTkpCgh2d88h6Sy8ysxqlTH/sbdBmDw/ofvCAwRTgChYh8uvUm36slrq1KMahFTK6UkeyUiInS3263noIrsPsGeCywrsFkpNk0ykjVqZvOsquHOEVRML0pGnm8LjUCGu84QuAZaVwhcs4AZVs0MkaiWYrV60mEeQWDuPNVhzHztx5vW04aikI1mdy/kGEivotnFcDQrzmhwKQUREj6paSOLedGigub1/m17uJ+uXwwn0JAddM9t5J/pMGl9HbZx1EYp9lL9zZs3ty9eTdOEvMPMsLkVuoT5WNN9z3FGSOEn+ya/UTuv5sZavo48OQWVUbQ0xsPx8O7hPta5DcOP/MAPwif4+GyfjyUdxgGvx4fjw52wFhFTERV2pqGMguxV05II58j0bwM7637lw4va87F57hq/+mT54Yg8Vo+RDqzqjNDhLoXDI6LWOmCrqeqyLBGRdBgAKwSKIiLSxyIQlhrdLSIsSyBUwz1f3Ob/MmuYiJinPbQ7Lr79D7/oZiYqXBOll3WBuJSe2Vwuklwl4sahwfNbm9k53eTL2GwybQMRKYVDZ2uHu7fHw93E36MFpqvL2Ocvb58SBObaShBkuItpMXWg1XZaamstpYZkk8SWTB98IDr/s553X5jywn7iGftRWOZDW2CERf6xqP8+b+3RoZElnrmaF1MIxGxp7evvvq0Mf0IIy5WmXfag4eXjT2XoPNuPMIJxOjzs794KA4SCIp05jMEUJKnZxp1kcJqmxSvkXBWw3sBn/43UwQoxMxXFABLtMiixBhuTSZ4DU8+V47FunIAd5yKHyMVcgqh7G/iVTQdVVTrgkTIen4OcxaMvzZEVD0qur6yntE5ccm6clOwSRpypNKtDuW68Bk65qpdF6CZWzDGgOFiyw91s/RpHrCUNGFheJsUG2BLzzjAsgmTijIl35QcBkJQDFSZBUcINOD7cnfZ3L+GIDIn3bf+xd9jfbJ8UBPaFRjA8opiZWYs41rrf77ubP36IiLAcGyMn/H0QuK6k3pMbwGWYZfvWeWNcfGorkLbu5ieFwPEFOcb+xTc4n8z28cchkCtOXX5kJEvWq7Me57zl6pq9Tx2mn1FvXJrqSmGlMKJMJU6nb95897Ccbq2oqoAZFknNqXA3s49gHZ+B8DOyvEmU8Hba3x/u3ykjmqckaEQwoaiTXmIqc4Qz52KzCiHP2TKMezifJPtDNyT+hMD1ZhYRU1s9lX5G4w5V1VTczBfNDGDEWU1NVRFnrimp5+OcX+wbiPYgaoZMMTgsutYfnGsedEslxcgIckPvdE8mzgXF4fzdL6sj0tako4iSjUnGTnUYErEGb5WEiJppa6kP0OOrca5w4NZjXlvx9P1DVNU3Bf46xHSQDnxSaiIYLGL1cH/a3yMadN7GdB7nNX6hUf1JQaCsd3PWXTpRVKO1N2/fTLt526Dyohz7b0oBfr62Hc+/uD3tfZh0GPLCw+vQKAhBqETEd2/evC6zzRPAIqbrKnj9ahlDlXMf8Wf7/EwIBgAcD3F48HpSBCICkTHKYzQrcwb9uHJPIgDSs2PBGQK3tBQZfswyfL7VC1yn5nmarl/crqGFbDIaEWZapqKqrZ17xCcEkl14s5RCBIisJiyllGIR5fr6ejg9/a4cKTNV68jU/cL3dfDGmJFsU2+egdAVdVR1mgwU9+5mrfRRbCa0/FK2FomlZKjZNE1Ih2tcTxFmWcRA2JIutUiXlcmLUEohGUQblNEOnzJ6zJOiarSEwPQ7t8twpLp2BNmaozpdp3rat8M9lhNudqOaCmsMWsZt8kvZJwWBAODhhKhNAbRwETmcjt++efP6yy/Kh3s0P9aKePTujwukP9v32/+fvT9rkiRJ0gSxj1lE1dw97ow8KrO6qqe7Z3tnaTH7sg/4AXjBb8YbCERLIBAWhKXBTPfUlVfcHhF+26EqzIwHFhEVNTOPjIyMjIzMcq4oTzvU9BAVlY+Pj5mtwTcrJY/eNI1bA5kwqj5+/vTz23cWfTRTpgCYM8oYvPVD2imUenMzfzWSnQOSzk6Gs1PZrHM/VSgzQuCURoa5oTT7mddO9gV2IkJOglJwjJq4vqdVoFhUxDSO4zAM5mRyKr5KZTVl5pSGijruFHUGTuZeSgZa9xC643Acx3EcAW8BUdnpTomeIBBEcbEw1ViaMVGMXp0zlJIuW1Yd5fifq5DT81K/nRF/ALgdLAIzDy6KCKtSYPHe1AUCVa3tmzgMKy83utkMnvXvEJjbYoQIasw+tyGLMEANZamanr41VDdj7moDEwY6qI6bdHkmp6/CwRGoA5ER65bVR17xlTDL3P4Q8nFBYF5MiVzxJyIx3QzDZrPpuo5DAMgIUyuUPGvQEptpLr/wJb0/seyonN7+sragNRDY+nytJEiYVaItwe2BKZ9Jnr08Xv3hP9wjGHINxlA01Z0jTcvjDf79CsVgujo/XV2c6Th0ZAxj8movUaEcmDi3EHCDCsRUCpXV4pbUZAUwcy4vTTmd3s24wEzI1lIbo8J8Wagftl5KP1rmb+V33vko11dThdmURZeBuKCU209ojTkvxV1Yl+wsysyqSc7s868KC6YiCsFMNbf003kSYXv+NSmi8ksNmQGUKws00p65qraZEuVy8mbVWnQ1ol1luNyP7DAtt6OMCJKOXYwcvDkgRY4bk/Hqcnn2+s7vfn+tI9Qtw18iTPhxQSAKK9kAhTLz5XK1XK99NtMP9ai8kQ8sJRr4AyZg9pVWVR1kZqfnZ1ebVVJl4rof+ATQPbXMqfl7I78qMUCXlxeb5aXJiKBExuSLaRRVYgZTbVVOheyZVdyKR5yDymUz+ItQa57lSpX5B3nRMJ0FCx3zyjruW/lZMrvizY1ZhkDB3YPVTdrYas0VZs6LVcMLBf9q4gFK2FJzle0cC6yHayGQwFvJfPXbLSsw10Xbp/bXVzyN5jSYKPVlavXUiYzmbl0fQGZnJGW6TfDybVyZBS0Eej+DrIyAmEJiTmLjZnl1eX5n8hZZ9X02T/TOBx9EPjoIZA4KElgyYaKzs7Pzq8vDW0co+EfzskZb3Ohds+/XbghaaT8ItIrXL68MWAuBtK3a7bJvzMzdMX4rN5vN+fpyNW5uLY4U4NJGzM3HvAIVoZ0XN/KrETNYWq8vx2FlppaSRbefkGn1edkmyzc+/yyHj5u1G+Vxntb5HRYbmk4RKJRI36bBiBm70kXn7QNVlYx47oNtt6+oXN/mvmzlEP1iYU0FlhgjFQh0WL3+KTZiCpSbI07I3TR2sIaNGWPsui4jfAhd16l6AbNipDaXz8w15c+Rz7k5DcQyGoyseYEZ+Ckb5u3IT1YgG3FwgzUrMJoIbGkcVytTpVBIdW8/f35m+Ygg0PtpFn+6U5VwdXW1Xq/v3LkHoHqPp4lc5uyW7rOlEc1Uo9+KVL/FL3N0ql7r3DN3ZwszM66dUdQMRt4kmLxeKL8+O714+NntxW0D9uTJto6ShhqDGyD8NYnBEq6WslxakgATGRE4JRUxwEQUxAxVIzWoeP6AmplEUVFlgzGV6tLVHuLi8KRSpQWuPNnEciTkql1Wugt5LJCIPPWu5gWiQGAImd8oIqTQELU0f8hFMKfCLiCaqDrerh4lrAggjaOkVCGwFPTIjsqaYk+l7ZEVhypzgJG2PaJ2jL+SpyG1/cVeqKZsfU4xSyISSd41vCZN+q9yjwtiopI9kvvSTx7UfEv3HlEBoxiiiJfKVjCvRS0emkpKAyQhWH3Qm1igtTfiA8tHBIHI6n9u/R44rMdxPWxMte979mjBm1a/3x7MAWW+TW8/GvVpMv4aukomezVCjdfILLv7iSh04dXJ67Ozsy8efKZQBtdQAOjaG/1bvMO/cTGRdHqyWV6ZJiaIaOCOYCKiJkTB+d2VWtzO8H2LrVWocAWwtjtCpm80vwFq35+u69peDSEyANWEWb5BpoaWo6A6Cb1WC5UuuADco4mJxsJcjMtyiEiFxkKljAsaHb1aqPXvhPHiBczMio+XmligwxUROQsGwDiODR2GShlr5N3qBIFWszhKyG9+jdl0npyuRCCbKtcQBboGdHNRbxYRUwUZA5ISRzWVcbXU0xN+eIviNXETD4J+8Cf844LAmuYAgImX66sxiU9vZu+WbFP09GeTd9v5m3/1Xvb53k/s7Xf4ns6/THBmit3r8/Ozq6sEg2lHDQtmiwN6Ix+dbN2eN6xbZiLL05PN8tIkBUCcnAkyUxVlDkSBnNVCYAIYtWxlWcd/eF2c1MQZbKoqqWn7YU4jVqAp0Wlm3v/IfUv+NoBaMqoDQ22h4CdYj5vjf8gABoJ2Wn/VOqJ8b1L71xe3rrfk9fEUqWHE7FytVKDrLr+epP+WilXqP2rP00+VdtIl6+CYofT+Jd/W0/A96cJrzllzUEzKBwCoKRFiDCHGMGyYzCStry4vXx3fvvt5WOy9gp3kqg8lvxAE1sBnc9WOdFrSaQw4OzuTJF3XAU5TdocGjMioYSTSlBWx1xKspZzblvHW/NOm264794pak60cfzNtnEN0cz7I/HImrRaAV14qWeqzkdh76+sRt/aJNgl9R5maA8d0etf0EjaQ7RKM5hc7u7q3Fmt+5X8VMPWDEciUzLr+9OzqZHm1HIbDGIzqMradA2HtElhnzo18QKmTgfO71m2VI02zjzyVRQWWJI0nr56n9ZJNQGCPNBGYI6sxhZpbbQx2XgwTGcDgUPrIe0U1yqs5EUIu/pIRAijlFWYuE00GUYUhSQopOICByEiJ2BoIdJKkTz5VlZQMxMREKEWok6rEGD3LIoTQdU5FqanlAEHFRJQItZiMqXFgFQsxIDtCU4yZEQqYZzZW1PE8BC5lkDMxk11P8OtCjMGvu1QK5SkK6X4jg5X6ZzX9v1qfvrGbesWvmy2/7EEuT7BBTf0n5uObI1Bl5OstUDIwgQBlJsQuhMBdZGYaTYbV8tWzZ4vf/8egSmQeTNTcFJg8Jeq3lRr/Noi+5TEzMPOYxIhC4KT29OkzI7p9904IgUidPF+9ZAZSZzr522pATt12s3PN/3EzwKpeeyjrMOqTzk+qaENTRZWqQnqqjc2c9H7uLWHDGn+g5R6SueyCFQi0kkdQP5l9WB0jdagainM9gXK+MNAMkn1HhDJbUdxLlQydD4eCbe1vW1G/6nIuVk+yohwBXo+3nI1afoC0qoogNYCo2Q+Hg4PLE31ydvLs9NW/fv57fyzZdR9RMMD+E9Lpxs6nzQ0QfhCptxIAZQ1QCwrm8IQiJLVpBRaLAWlYmQ5pXD757m992vSMAdqFMA4jBzIjUx4lHcYeplDrvMAk1PvDqEnou0AUYuj6fhzHakupat93kpKKhKa2mU84Ko39qITpzOuZxRC6qKpqmpvfplQfERExTdl1CVCMKqoqqgT4qk1evdp9oZy72mrf92Y2jqMZFotutGSGwBxD54UBKNDh0cFquem6jojHjKCdG5HeRYMoEAIoOy39yQthojJURaGYlWxmIUTAVFMIPI6jU81UpQF1h8OMnb4r59DUvdYKpZlVG4OoJLEYQwhBzUSUGTF2qgoCM3VdSBvxU1qv1wcHB6oKKAVWo4O+hyaVcdxsusjG1gUjyPPHjz79n1cHaSRi7uIoGAbpAoWeoYYa6vqwz/XH4QhtVHtmVqIxyenlpZr5PAYgbQ5mI1S4WAbvNWZhe4OMmbWbwYyHSxNcbf1sHpNoCCBvuI7dX22dK2Yr+Jt2VXqvb1lgW/u0wi3ePvTOzre8KLtm6+4hdOvQW+fvF1GQnDCzy2tpp/YMYQDYmWOjgrrFOunp5ZV+DiQFMzFBAY+qkO0O+E1azC8i1e4jgLNVX60+Aiovv3zEBlhggmharWSzknFNaaPJ6007h5CZgxPfTNVMGapkIinn1WnWOFnUjJKM1YgREaiqCswoxl0IRHajEjKzQ2EQVa+nqKYAqep6s0ZjG3nV0oo03hTXEaICauVnci4oM1VoA5CLZEJ9+noFcLgLxNGOYQZTMi1NgXPeuroyb1Ods5b6tw0L1tBbUDylRMQh5NR4TJr6FgSqmtNh/Ny4FCCtCYgtM9a5usR5PNXUeT0i4j+vYUJRNVgSYyaGkIrBVX/RNCYdEtjGDTSBOzIEYNHlnA7TfQnBH0TeNwS+2wrla71X1WJiYJPSyclJva9EJClh31QoO3iT5rB3Dv39yBb4tZ//UpaUGUQ19v2Q0snZ+Qa28MfOjdmS9LXnl79YyOBGWqHmTuRgXbtougJDzGMalievJI2q4mnnU44DciEg7ytp2XcxOVfciEnidWTUvYv+eUopMpvlDrFm5jlTplYg0EDe7o5ygZPsQ82lsY3YclQSNfGc4AmLxdgqbJeti7e5VGPLSodedcuxCM37VNSYYt0bdII6a5o9lfHMy2B7uBpfrCvkhNCe4WCuqdR9ECZY9Rf5EHXnW7tq8RVFxSFr7UtUqzS7UUmTSLDAxTTJx1dVE7HRlleWRiwOIRI4g2+Oh76Xifnj5eOwAotUZ9pmHBwCa3VsTcqlz3jj8ryRX6uISoxxTOn0/PxyvV7EbjvsdyMftVyvpnjo3RTAsF6fvjw201rtZZ8++ialpiz3eQmua26bLFsMmoKjqGC65/yoZCPWt9P5WIl9lAADmm92ka9Z+ydkqrBXt9z6OeZa6ZZ6uvtVi0Nb58BN3mKh+YgJdqzA6dqJSBX+u12QBrBVcXnmW3Jt483PqN+CohfVT71k6fr09NZnq3hwF6YErkEa+mUsQOBjg0CXUXS5Wp+fn9++eyfGGHheT2/2KE0WOzVa6LYa83csWw/Y3k9+EVG1GFjGdH559fLV6weffWYxekTg+pwIADe6z8cj24poDtEbiAySQLpeL09PXlljsjixol21Jy7nHCemY0zmzpQC2NoozbMPYEoXbkzOZr2guksaNoOZ1nQ9qLSM0L7rDw8O2gveOsPW/rMSg6wS3HpVJSLPPPC6KizS9gi0pkAMzZPf/SilkM1UJpsaEoq/qI2TnLuSUnqDI9Sbt5jZOOb6ajQ17JWAqNDq5zQU8iqZqqkZTyi+NR9yZVfyVy3gwwwK09PXLw+vLu49+MK3rny83Orgl3iuPyIIrFG6cRiWV8skKYbgVmApbUQtpdOlxgKBrNttD+PfOwgWGs6WEopfEkg8ZOM3LKX0/PjFP37ySVIjgMO2MXhj8f/iQqVyAe+5EWTGarW2Qeb/ggwqab28ujgTGYU86X2iIFYI9JLNW4I6YxsUbLVcf8ElrzzPqUxZ9AommUJqrVE1N84Ojw6pVAoVETJtIZBANWfOKTBU665NqExe6sUPUaODzOxd4/2gHGOI0bs6eLQv5hDmZOptIV91ltZip22ttRY76/blXqEoFnXjWWSxdnjwHdYS296T1QiaP8ynIuqdCFnVQODAzRDODVMQM4NMTU3FVPzyhANICXpy8vLe1cU9S2AmAQKqAag2c6d/MPkIILCJ7hiQzK7W64vlVYwxdB0xl3K41bTeYwXOgG/HCqQfMCv+DuQjiwX6TfHnKZkdv369TulwkZkVNYml/Gn+3sQCf3lpnyZ/YWaViO0MEAGpbi7T5dm4WkKVIjERQkDp/uMcRCIKgSXzWkJtG4RSwRIgDpFDMFNQ/RBxatPaPvvbpkl1VJbdWmbHEFQ1jWOFQFVlmJeBrhisc9kP0te5Vcq3GYV2MB4NkqF4dOsLhyU0dJWtfW+98G28SI0HI2cd3rfJNVTPqF0szXmhTKqdJ80bjITMzCHQYG7CRskkeq+vVlZjFu90ZzwxyUMgDkahQ9gsL8eLM6yvcBhhYmLGgTgAbWT5g8pHAIFFfAQ2KV0sl1er1eLwMMTo5j+JBGYUD9mNWfAbkMqjE7GT84vT5fLw4CDE6PVCt5bYG/nIhOavtyI/zhfVzeX56uy1jhs2y0hjMLPcKmhquEpAMJu8iL6XBgLrCgsqZp93/kNZxK3xdADAxK3ZMlNmb1NKKJ5AVWWyYDzhpZkAVGqbbaFghaUWDrXJnfekQK9Apm5jhQDLlVa8vEsLQiiOTS3Fryt9Jg+rqpbab+72rOi4i8Q+WtZEE5uvqOqSW/ZCviMhhJAKBAJ5cNiT5uttqoTSytsHkaFk3VMwQM0oRC/hE8yGNA6XZ+PlWXd4G0SmXtT82i54H0A+OATuLGlOALTCxV8Pw+XyarVe3b13Lwd71dwjgTfi366idCN7VdRpnfglB6w88wyV8XK9enF6dv/27cOuS0CkPYZG89MPe6Y38qYhpykWkTdTmMASTJaXZ8vzE0sDQ6tWQ40rsgS39vQDRJ292baEqLSUxbyBqmWjzczUo1XUnk7JW28fBLvm0cjf1qOreuulLUNwuvjihLSGDjNBIIuWYp4quQtthcCK9BWltsCMSup63bKWJzWz2l+pmrD1TMoumsGcA7an2Le46yttcZm96QGbqxTAXKVATiLkQvVl98KamVoy0RDiuLxYnZ90Dz8HExln7zWuWdZ/fvmAELgP/OoL/6fAMI7L1WoYx4ODA2rK4jl9eXLo7bWay9y/kevkusf+A4t5TxqwkSWDpPTq7Gz12ad669ZQnoUfrAl7I7+EcHlS81sv71lyRr1veIIOYB2Wl5urc8igIhpYSz6DI5ZDAjP3fczOyRjMzAtxAV5yAWbEwZjZy2BWO2lMSVKCWcgIsR8CvTs8SnyOvfcCssXZdV0NNIqIJ0VQ5aQQEW3bppWcwsweIIwxOqS1cFhxpW68JbuWWftJPVxrn7Ubcyk3Wj+sR3eD25MissKhM0doacQy7baFQxExSeM4ut1rsCRixRGqZqy1vy78xTAMlVC62YwxRmaaSE9kYjIq1okO7h7osFxdnt7VERQJ7pFFSuD4y9A2PhQEun6oKiIhRsBE1dS6rtNSqwUcDHj+/Plytbp3/3636DerdQih7zpmlnEMIVS2oBcP4SZohOLx3maBgcgTVolRuho0ThOrmRgoL7ZUUTRs6+vUVf+tzr/fn8y/I1uHLocr1VvMphd7Do3J8dPupznbaYfzevMgqE6Xv7XlnkNvb1kOXT8pPLHWJzW9rSwyg4EkqZkGQug66/tHz5/+w++++PSTTxbAaMZTMajtWfSLBTBvZJKqnFB97zUA8/OoCdCL05cXr1+yJpVRtVMgpeRFTGKMgVlKk3TLUbcp9Q2AsTGzqJpAVceiFle3pANUWcrVzQ7iTIcJgYloGIbqqWPmPnaqKpLcoUcxWoErZjZNXAgv4ziaWmD2VkRWWjqoqne7rb/yM+n7ngpkuuXncU0Uo81r/be5E7VF0WKx8No33suiFtTuus5f1+2deuO4q82Z19wGJ92IiEpyLn1KSXO5NZhZ13UpidmU2h9KC3tmBkxFjXB4eDCOnhbpTmuNMaYkZNb1PRF1sUsiIuLFx30nIkJkXReolBVldgYQMbRjYhnPXr7g2/e+QMK4QjwCg1Q5cFLEUhXjQ8oHdYRmLHK2EhEY1X8BIjW7WK+u1iuF9Qc9t8UCXFWxHOHd4oVSZYRec9Sf74pu5KeIVwkxDhbD1WZ9cnV5sVl3iwMjL4W38zDYjytVeiPvReia15g/dURwAkQ2E6/O5ercxlUkU0KtQE2lG4PvSlVDYCAAuUCXFcWqLM0wEDMBVI2narW0tldWurKPP5+ppIQYs52XRDmoqoiqCTPD1Jo8dFVF05vXa/3VYijVCVkNu1YZrRiDfbE3ayig1RCsLSlCCI6arclYd9UagvXy67H237LmQHXM/ViUXWszrbe6eYkgqhTIEyfqDrd04hbIUZpVlUHLvdNUVVRADGVVM1U2C6ZpXMvyAssLHNzNtSnJwID+MkS3DxsLJDgBGgARg0y8GKcb4KrHpyebNHIM7JE/JjTz8oYI81sSIjJAYQRSplHx+vL89eXFvcVBvGF9fnxCe96V8BLaG6YwAdn65XO5PIuQLmBo/HCtG7Bd7s1y2/faPK8ghdmWX6fSJjMVdYcGClSaDBemhm3RO03NzLsqVH+gSuKysZe3thIkq90h6glXm6zCQ3sgAMK1FwTaDdCAE2YsTaDAiQ+Cc16q5edgXI/SYn/l6XDh66A57hQ+KsNCmfkyvUVGcaN5iRhU1aU5yWsnCVHwyuJE5H3jiYnZoKwIZpFMTLC5Gl497746IkvQDqHEDX8J+bBWIAgEUakV6pImMwscQDSm4fj4eEzj4uAghKCmtQS7AZEDlbxLom0gLBmv1xz3Jini4xOiYEhiRgYjTpZenp69PD39w8PPfFLO2As3d+8jktnNcF/3dI9MYWKQV08erc9OAqQLGM1qScz8q5bwUnfVfjtHtbp1/ZU1ZJB955jF3Y8ZHkoIjQMzqOu6TRrd/PIfqUhNEXBGqDc/x76cvNYExJyc6TkJiYMVO4lKYrvOMysqgNXWgzURwszGcUwpHRwcAEgpDcNQMxBaRNw2yAptpz3H9lici41kIpLnXqM0DSYV5EaJJSBqhEzBNU+KMDM1qq0F/JR8KCiGrosgArMahdBRYBYhSFCLbEk0Lc/Pnn7/8IsviRZgQXQr6Jd5yt8rBL5Rdd8ivxBy3YGu64l4SOn06vLi6hIxhq4DU0rCgdmbIKghVBLhHpXQZeKc7f36Rj46IXXeeWBlOr28eHl+dgXpEDLdohKl8ubTZzdKzS8uLStmElWomMrL46fr5UUQITOQmqn3C6/P5ZYdswUqUyS7prnznqeZJg+kErFBTTG5/4Cae6Cq3ofEzESFyL9i90/mJAQyJnKYCSHAECZfYl7it7yUe0eGShKzzT/RBpwqpXPqRls4n9RYojWymNs8NRVNKwu0xgJRIDClJKZU8t9VphNIKTnQA1R7FhKRh2mZKfnWBA9PopTGJtA4JkM2u5OYp3zUC8zXkiSlBOKUC9YQmVNjk6qRpmCWVlevnj27l8Y+pFxSvKnD/puIBV6jtrs6QuRlXjJX12fJerN+ffLazA763oPPSVMXuynsbnuMv7zbEgvMhvvW1zcg+FGKqhHYoGYGYgthNWxOry4urq7uHt2pE+NGPgbZ89C1L3K7smIPqmCzWl2c62bVUTKxQBSYiXLxZAcYVbUc+vKQGLfsEprARkFETEzMM25n9o9WHN2islmJSFUIBBXoKj5YCoGaXEOCVjqMtyiMIbaHqA5MnSXvAztWIJrmEpjTL+tb7Kjr06FDQOGY+H5ijCkl71zhiEiNV3lrh/VFGwtEk2jIDSW1WoeqSsSEzNjgEr91vSHfnQn7bfegTATmEBjE4kFTZmIO+WYZmbDZOG4uz08sJRz4+lzodXun2s8sHzovUFRDiFW55xAASpKuVsvT09MQY79YcAiqpcsIAUbBGyxeB2Y35ZV/heL9AQEohEAU4zisL5bLV6cnnx/ePrjmXt/g4scjs3tBMFHvxW5pHF+/SqslNBGL6eRpRAGw6Xc/pKFuYVv5ZGuD/KKhKOfYGzVJb0y1vRERU4xRipNhC5C4YEv1NFqD0vWcqznY/racxPRhc3rbxu7WbydU83oBRfxYbp766GXMblCwpXcSEYOmjonUdMOYarzlSysV5mBmIbCaga91hFJxPjOjFFAr8O+tRcVrpDGzD1fwCl9gMoAsBTCppvUSZyc4uO8QlD3fv8Qi/kFCkOXCrOn16q8DByLaDJuLq4vlahX7Pi56YlIr3gDNXGSrXK8dwXyq7TpC2y9v5KMQgyn88VCQwCgwxbDarJ8fH6/TqO0yV3yhW27RG/llZXYvLD/cIEvD5vTR97JZMYxgqqkQUdzdl42znC3ecAtbeNCGvSIiKmXrHdmFlgovk2l5jfi5711S/JtqIbU73jr07utKt5ldUfOracwaLJydQUnva2CMKv6hoZXulQnFr/8qhMw/2t5gT8ek7ZHZC+TI/e62Pqf2W4IGso7BmjbPn8h6VazM9zQpf7x8YEZo0ary/WYCKfRqtby4vDSzruuyYkXEXTQ1USEGB5ZUvQnF67KDajcw92sRA9S0D9HMxlEBoxi7rtuMw5PnT8//6T/cC/cRYt5057c3N/pjltVq9c3fvk7D0EED1KCmJuKGAoBc76IGt64Dtuq1s6ZEC1WbjCZ/JoDMoSllsutyv9kMNNFh2Atnq+XWgzUpgkqoDF4MzPMiTGvmRgU5lAAeNXkRfuE0d4QqKXbM3HrCFYO5iTW2eFnxG8WB6W8riNa/9SftTiqStefm24/j6N36andDv6JxHGMMoySDicTNZhYLlCQpiZoGieaxwHIHc7EbU5WUxiGEYMRD0s2QgoCYTEcdN1CJ4TDE2DEL7MmTx7//h3+98yBnD+8twf4B5L1CYI3/bl2J5WiBe5gt58KDmQ1YjeP5crnaDBwjh+CBUQZ3IaqMIp7W2TSx2hkmT5Dn3BGEeN85WG3CfmNENPKGNLv89Nv+LbetsdKk3uafaDXd9hxImWttKzUijt24Xr86Pbtcrcajuxpy8TzfG8iZUajvf8yF3shPlHzDndLSmuNUb4YJIcHGcbh68fzJIg3cMbMxRzZ3jhH8YeZglgubMXMIudNC4K5G18yMY2DmQETgruu62HkWNtzdR+zFXGJJonCWIhrLj4j6bpYS5zwDSUJkkYMI1LSwzmFKuZN7Rrbcy6e13qiSa5rEvtZIsuIq7GI3jV8FwgJXKH5UIgpdF82oFD6tuepd18WS1GglUdJTztsqa9VW9gMFgohwaSylqqqzcqPVDvSAex0fvxdgJkbXRS/dSUQKSyn1/SKMyYCu71oIpNLV1cxEUhrWB0eHoBhG5ZhC7JnZdNSxg44hEgeAOBmdnhx/NixhI+nIiN5BOZs3b5D3/dy/ZyvQpwwB06KYv0D9XFQLp0g5cDK6WG6WQ7p1516kADEykLElJePAkTlIEiJ24pABoMyW8MJM5EkRBqoNeJxy4+NZBrXGCXCtIX/9dZltVYfZ+d6v0ral+bruod3h9ONKgStPpDWwsrNfm47cHHrv2U473OKUNwpB3bJUz7Hq0QDNdt64srP7vpQjnk5Hr5nG5fY5kQ+ig5oRE8CiymYUOjX573/5+ouDO3fudmToCDKOHANHMqjkO870SymNf49Sb6mz2KhCYH76zEgTKME2w+nx6tnjYCNURClRUHMaPUxBBCaGt5XIsJjXY8lxOQaHPDU5VOhQNebgXSgIFEM0EQKI2BSqEgKbQUVNlDoSVQQwB5Wci2EGkGnKeMGZkq4m5lOJaMrdh5HbUQZWMyvA4bluXolGDeOYiEhF3akoSbxoizYcHCo5zW1ahVM9rcChZ0VQIaOamYgTRFVk6PteRMdRui6Oo5Rf5OFXzU8Vs6sCcCz0KjOlgPVkRDpL04/sFrkfcRzHfMJMROQJ7oGDwXLZuXy3Dbmaj2W6LuXT8DF2PQgwMSSFCYIBSmr1qCKqQ9pIxOr1s+Hhl/29gwBYMtpfFKqVOaz4TaTp3TvIz+EIvcYKqy8FFIHCqlpuhuUwCnhxeMuSUMr+DUvGRCFEJkqi/BaZkzVrcKu8pDX/tfI3r+97fNZ7L6nAxluj5vuVPeD31j/E9RCIUuDDdv5Ne2jeXvft7k7wA8qcMUMlFU4MiaqqhdAx+PsnT0//w788vHWHmSNBTQleQMIMYjmC/cv1mf67EysoSAbWxrgvPAqFjrARtlmfHC+fPV5ElsFSQiAm6gBISmYWAsNMRd3yx9TPwcwgvq7mDzNFMJNMkxBgXjVUQfCSnkRGRpAkgRgGEdUkbmXCQJE1CRXd10ACVe9jxwT1kKMRCFyzh8s/85YlDHjVUZ4yMwjEnrQgjnwMIiZJ0sUOCk3KzMJeISyH3BxjXEEfvdxjKUODYlb6YVJKgBGxGVJKsevV3IAjVc/QJwe8uauTUTRUIrJSXZmZlWbO4Rrj5MK/RXFmmplfo98JIjJDi7gOfiJeYaeoxWpmMKiYjCqsyQxjsnEUVVEymKoIaSImJNmoDMmo65evn69OX/Z3v2BSnqr04JrF42dReX+WWKBtnazNPvJbFRjGYTR7+fLVmKQ/PExm0ZyE64NdRiRHAPMe3AqwqV18YXNZnry7nXWrg+Jtz/8XQbmPQDycPb2dOzD3gN+ud7TsYdq4OFS3dlxeZMXSABApQYmU6NXV8otxODw6VEPX90bZHmWQQu3N8Hoj71+m+1nxEJO2azBBGsAyrJdX56ekmgEpxr7vNutVU13FAEHu22ekJDGbNe7Nqz49EcnOUiOzWX8JX4XzQsGhwdFpYmQAIOJKHiAKREQOCXmbfAWTTMqzwV1JRCGDU2i4IlZcl+a9EXiLRjIfvvmJoQQFy5g4DyX3KiRyMmcO+3mCRBRpmynmc228ry5kplDAGC0VaOYcdvh0X2hlnE4JGKVMZ72O2VXZ9rXVrXzI1EzMYCZqosZExgQxE1NAVUTSRsQokMrVxdny8uKeCXSMoS9G5nze7X7YfvuT5YPQYWj2MkQMAjUo2eV6fP7iGDHcvntHxV0S1+yjpI9c920t47Pzq7eVaiTt/fxG3q9Q89fFEVRBSvzk2bMvbt96cHAgoocxwJR8aYDHlG5MwF9MiqIJZAaDAQoVpAEhrZZX56cnmgRmSZNqiPFgWVKwi29wcmkQUeGJ55CVC8qyrqqmMLMkiUt799xvr4SOPCblrA2T3IzCC2+aZvT0k8/7NCXNVftLjZX8lpkBM+OUErsPrzg2wQFs1cOJJvNvZr9kJObY944oFEIuGFYcodz0eWBmn9REBGYq9Jxpz2Vpq2ZiHboWj7OHN5tnTqLN1U0r80hy9M6Kw3HWCspPRkU8DpJSIpB3kJ9EZEyjiIxJdYblZFBFUhNLYiBTmKqRqBlMzYxgTGEzbkQSL3oROTs5uXN1nvUnigi1cWB5wHeXia25+JNtw58TAud8CpR3tbXKOI7PX7xYrVa37t2NMY7DQESYFQQsFWF8f0XZ2J4is+OVLctXb4mCe3HuBvx+JqlB73JDC1mJoAwxHJ+dvDg/+/Lzz2+HYO6myu6Bovv/ouf/dynbo15sJQ/hEQLh4jydn242GzIt9ow3bcgFtHLeN1dehnvngu6u+5UzSTlySI3ZVMXa5aIN523ZLn7ChY3pxskWiuxKxZU2grD7opWWziopSUpO4iTmNI4oy5E3fqpgZjXpYkIjIcqkWROxgtbSKBOVL7r3TOb704Yao20noyrTfjCjAuxulivpmLc7aCDQXJ1JmavrAdZc6RlGbrGHECKbEXFKOspmODuTs9Nw+4scYnYKhzXwsfX2fcuHTo33oWbKrQFfvHjB3rXLZ+oN4vzdSFXv2pCtAcIQw/l6eXx29vri4vYnD5Khcw6NGUQp8E2W5y8k2+M+3T4iBL54ebw6PXG7kAMRBbeuiImRE7rrum2TD3C7ykmLYVzzvkm9YLTvJ7SVYnyn5uTGXLSFmQMzSsjNd1jAWA1aEXHaQ0nFc3qLs3dQfarVqzj1qZ9kD/wUxIIH8QodhkrR7WrserVulJ+IiKqDREopSUpuoToR1Bpn1dwGKDfFuxHQlFlvWkfeL3OPtTApGTBtv5pvw0xvgkA1UWIiGCksOG+NiEDGbMZM3IVODGIEUWLdnF9cvHh+/+4XMP0xiRHvLVj4QfsFFp4imJFUl+vNycnJ/U8+6bouuxpsn9G2dZv33PJrnZ/1WbK3sOfmqpC1U+1G3rvQFIWhzDIDhOB/1fTV+dmz16+//OSBeoFjgqkhKYgRbjDwA8se+4/yiqWAghSwF8+fn5+exsiSLLjxx+RVOisHlJmJMoTsRT40jy2Rl+vK8ay2u1DFuV0I5Nqrtuy87rax8GaftNg2QS8zcnM3I6LAGUastBxCg0Ptmewxaue4TqXCGYBqqwGoEEhk1QqsOQ9bJun2QDkaEYPATBMEclCe6Qpb1m8drvytk5CsWOHzQTbdt0TnVZmIKJAnWxATApP/g7GBYQFGgUNkUzET7SJvllcvXzy7/z/8Z5jAnPZP1RryF+1bADu0hP2z9C3lg1uBlB+a5WpzcnqeUrp16yjEmJLUukPbM6d8WNkT29Nr+mTP7dl7w950hntjgTc4+PMI2QSC6q/AQuAQTlfLZ6evrvBPB2YdcQQxmIyhjCnn5UY+sEyP04R/JtCEcXPy8vnV5dkisBGYzAFDPSDXtApqg080a3RA7VfZSPK3BJXJxzj5G9tgltU/GSe02F4VOKeAmUxpCfVYxVtIbrxmO7JYgZUKY4Vo4xl2uxVo3OTyQh/+vi5DFfY2m40WYsuu65KZt8gN7YpXh6ieW92Jmvfmk6QSSsclZ64yZ7OSpuSD7Vigqhq9yRGqudC2VEYo5dCux3SFAYZPgKocEIzUCMYyKhgMMhEIdcyyXp2/fgVLYG8bGdDgm3OPa+R/l7y0U6r9RwdJ3jME7lMPAORzN8rwPYx6en5xenp6//59jwSYKVGY4H7vzt8azVp0fBux62OBN1bgzyKWrUCegIxAuWumMBB5mcbnpyffPnnyHz/7AiGoAgqOPQDYDf59YMnDzUUD94WJPN3PRMf15umjzcVpGjddJCLLmEYggprCUG2jimLwBVR9bbWCdzlw5U+f5zkAliTFlKyUlXFsYyJVbiGwdT9q6cCgJUOgXfFrE4m6geR+9EQEETEi0ESHMWIrlTYdIqpVWlcJN6r8oN7qiAvNcpzHAtsFagdDtwGVSmHPeiCtTtSS1ZB1AnhtuZQ0J86PKY1j8l2N4ziOI3Os6F8HcxooOP3I8+tZy4A78BHg0J5TARtHKExVaNgMEAXBoVhJlPKNpez7NVNi4kAMEcEmXZ3rs+/4s9/jIBqCopJigIZ+3M5Fympzaw6+44rw4azAlkA/jOPFxeXl8uqTzz43MxUtc/EtcOvDBIJuwO9nlHlou614R6SAMBHzJg0nV1ffPXv6h08eatepGdTcM3M9S/pGfg7ZHwJkA6CAwJKm9cmzp2m90pQEzotQUWMGc0TjdQTaXMC5O7Lx4lynxV7j/qm/nnWWr/gBZ3m6Zw9gYt3ZyZYjtOJKhUAvDFBxtLqjWqu0Cs2FM/bb9jkTAQgxhhiZiIuhyrlGN0/nXOCwhdutkQHAIJAyR2hOtI8hWIRXmVHVEEITwN2WH5wKWrobehXUetwCgWKqKgry2nOJOWTdxoxMA5Gps15CIE7jKLKWzdXZ08d3730SFkcErXxva7JTdiaiNTnx+4zDt5afFwLdoCYApaKE4/nF5eXZ+bmI3L59++LqUtXIV7YbrvuOmGGvH7Y8Cds3viwtHzmAl15ILZZZ/qOgERaYl5K+ffrsf/6nf7nTL7jmHt3Ih5Zp7YZ7C+GdDAymUIGMulm9fP503KwCGZmYJJgSh5phNu3rGvGlnrdS5dyN5qs/Qm2PEGPUGAHEELi2UPDWBaxtohtCqPAWyusQAnEuzmltGGxOe6nTLduv5RMrTXErGu31GXJT0roFGCsu2bpBg+AzVN4ast0BREN0KFCU0TdQocAEjpY7DRBRCMH7AFOh3W4NuEcaaSq+mptU1EM29uI0ONl6zLQ1hy8jMpCCSL0OggeEPSfAEJnVFDKOq8uXLx4f/od/DrfugkPulJ4L34A41+TDDzz/77jg/Typ8TZlnoqXCCI2kJfMAfT41cvzy4vY9wC6rpNhUJHA4c27fbM0U2g2ULbDY8Z8yr7VFe2rDtPus+SD7zwH7TlgXqIFs2+3d4iMfL7l1hU1W6KdGM1x3+rC2jOsF4j5Sc6+nZ0k2t8ieyXyb6Zd1V+1prXV/yGXATEufClTM1E96joVfXL84tHr1/cODvuDwxhqOPhGPqioKsxCDAAkCREFDoDABJJs2IwX569ePB03VweBOuar5aYLgbueA2sSmltszJQLBjcLcYyBaEqYqxYPM4cuhBiQJlAJIYQYydEF1HUdcQ4+meQC023SXv2hlny+QFN+xV4DiEpCXv3EWTlUHKH+Y+bsHW0f3mIRRq9S5lXTnP/i9mImVZZ4njNCmVmLT9Kjh1trVOsidlfqLriamXp2QunKKyIA+wm4M7Y+QWYWY/TNPO+eiCr+MbEjfWkrz87IpcAxRrHBtxqGXMLNVNmCJeFMh+FaoM3V18CRYMwMVUspRF7ELg26ujo/ff3sy+Wp3btP3BErchkaUUXfL6bFZPc+ZXl3hf/9Q6APfQh+bzgE0hL6IQKRvnx9st5sur5bHB6N45hTZ5ig11zGvgm69f17v4ob+bklJwIWYqEBZqTw6ozU9QtVG6Hx6Oiv3377u9t3HhweCiMK6KY46AcXpgAygGGIIRIM6hVbBWRpfXXx7PGwXpoKyMl+kgwcRnhR0Ln4qm1NhkBKo0hipoof1Z9povAuhCXI5xG7cRwJiCFQ7iiyraE2h5qZUO0GBZv3/ABuGIWpDlnkEJpmgVoTFVLyKjZtBjkRpRRqkj4yFKEiUw3m+Vc1algYoSmEHKjT5qpr5K+aZXWg3KxULw0HJTM3jlXVdOomSERWC75RJvu45B2amusiVtrKZ9WEPeCavJSa+vNaKwzkKmrMxBwNRqakBk+aB8gYzCKqkvP2ASLSAGW18epy/eLJwd2HcXEbkow8fSIoZ44cFZRzWxLgqRTxT/KD/jwQqKpMimxWk5mCMgqq6rPj4/V60y8Wh4eHwzCIKeXiCG/aLRG9Aerpxkv2q5IpMGzwYlWU2334S+MYREc16xf9oxcvvv/8+OGdu58eHKxGW3QU+IYO80GlPMgAwOxd4QQyggTQ5fLyxZNHmjZ9oI5AkNh56pgCFkJYr9eOagWipshZ3uEPHx0o6KiF9ZI5ls4pJnPqiskELcaGQrqZduVYiYmPapaN1JK6B8BExHbIefWcyfkpTvsEhWKzxq6rB+q6LomEELw9hZYeTG4aVhMQQIix6zpiDjH6IepY7QqAyuXZgkA3AdVjsTCRfDhv+lQtUTfBUbB/CwK9JLaZOQQ686dCoKiCWldQvR1qKgboOAqxko2aRhFmA7GpqWgUjiESMzn9kRGIuhgSUhquXr943P/uj3cffAEkUkKIuU0ITCwbUO2kaGCxvn0X+VkcoW1wx8uMMwUDRG09jKdnZ6J21B/FLq7WG+8pTD9o693Ib1bIuRWF3UVKMMtOASHejOOTV6+++uST+7/70gzdL9ZZ7O9YKDusJ9egr+CmkHFzefH6+AXp2DEYBtUY2DLMWK0H3ZI70PBTOHBAMFMudWS0aUWkDNLsb+RSV7paalQjc5xf16U5v96XwN5CoF8Kc7uguzvQRKT9saqixNv2DtI2Xm4fdLYrs5lXb/dU26tor6ueZ7VWr4PAKWjX5I5UE1dVKwTW83EIVPc4ZghUzZBMHv8LMbg5SGBr9BJXPkoqfF7QidyvY2AYcmgXyAYoEQJTNCRZnbx6fu/y9K4M4AMQAD8Lnmbenkm5hYLvIu8fAql0N3aHtKiKqSdyDWk8OT/fDEO/OAgx+D0PzGKqarHrSomcyRvR4mKd9DSX934JN/IBZOauKsVhy4ekYqoGs6QaDvrjs9Onr1794fMvFjHITaukDy51cc6+GI8LB4aorC7XpyeXZ6edJmbAkkoKDCNOos5/D110Nq8HxqoVSE2rOY+GtBSMzNRgEGYQmKNrHgssi4TTc5jI2oIvxNkLtyfUxxWE6BqpISjfzBrsc/PRTbHqCPWKaJ42RwRJUVKCWSobV49ou1sA/itmlhDcj1pTCus41LAfNYSddg3MBq4pzDzTZL6Mtp0iZj+sZ5I/Kde4a38W9aGCcfutqhoRxRApMMMYzIE5cC6TTSAKAMPZVMwCqAqYAuko4/LiZH3+WlaX4XYPDjCFEUjBITOPCDvOn/fg/PtZINAdmyj6RT3J1Wr1+MkTDtwfLIjYO4aEEMbBPeYHViLnO3uceet3v3/vV3EjP7d4LJAKV5iM4U2Pc0MeyynNhO7w4OJq9eT1yfHV8o93byeQ9xG8uesfTHwF5GoDZdehQdPV65fnx0/HYRU9vzeNIkOMTJT73klKquJccCISkRYCAUTKPfawkxrvSyuyY24KIubV3OkwBmd4knMQSxvYTOJoClLXa/EJ10JgjJks6q9DYMv9lma6dm46UbyROu9QX/GpwZ2Cpg3HkpndIUlzDueW7EIgN5xVv7oWyfxx8YZTDoGxi76xKTmTxXdSGaGuB7RWJgC24J5PU+QMeHg1n3x3xGZtjaaBhalhNGVlhalq0hQUBhaFigUv9aPuB4WqjuMAhpKSjcOwunp9vDx5eefoHggQePN0eMkbI7MtvKOSH1y4g++0IrzvlrlWqLFkvrgRc8cBRBuRy9Xq/Pz86O6dvu/d2+43afotgJlSNlmBVGKBe63ALZS8kY9ZDLlIAlWdurx2+rMRxxjcf8BdN4yJRF+cnPz5m69/95//TwsunZNv5MPJDEPgdQrIsF6fvXxxevK67zo2ZTJigyIQEwcnSxosJfGmewXeMs45GHDgZt/TWlyRxsQAcwsLJaZV0xJ85nh/NNPJnZgDezrZW+2KUZfLCoRZ49rK32hcr4G4/RUTxb7vuk4oeZ8hA2Lfe1U2ELq+V1MOIcZo3hG370GUuTzNmhX6vhNh5lBCiS2ddevkqbg9t64o22LZbwkvFOBj7o7Qxl6roFt+VerpEJFBMR8E5NyJAthT/uXcVGVjkI4piSpsVEkqqmTui1VTQoyd1/plCghkZApl0tiRkl2evT49fn7ns6+wOIK6syFkNwDI8W4rTd6Z5IUXw++Agj9PLND5DWauPoAoqXkuoJn1fU/EatmX7TUIQFB/cf3adgNzvxmxqs4Y2Mrf0oLV+2Azs1owkKgy08V69fjFi+PLq89uHXXhJ+XP3MiPFfLorFo1cKAGs2F5dfb69fLyou8CbZTJQmA1ZjIi1MLMfd87BJYIn9S4VLFLtnPSW4RofW0o+Cm5azx5l1hnTlQIrM66CoEz/CtWICbkA5VsB99KRNzsracKDv6df2JmMQQqjtBQHKGSGaHw1zATwGurcKlY5p0i6gVGr4XNzE0NM+fH7oqPwDAM11mBBoRAkk0RGsfR6TBm5u5W739LRG4F1svx7Y1A7BVQJzqMmXn4sLVZufYbDEHEK58hdH3XdUpmSqagLhizqqkYowscdTSFEXNkVghgxkSBBLS8urx4/UqurrhbEAi5XpiZKYiY6Bpw+Emw8N4hkKp/towpGzBIOjk/Pzs/XxwcxNj5VyEEGCRJCMzEMqbQdaVVBrBt2b6rofsW8nOYFL8iM8Wav9d8u3fybX9GADVb0vYW2358r+9gzZbVta+iIAohjCIxBIo6jvL68vJvz54f/eH3R4eHPzi8rWfkRnP66eJ0NubielKBjpuri9XF2bBaHrEmSYgcOFA0ESEt/QZAnrbuIaAQWNUyAw5EPC3fNdI2vbH8K+99vgWKKHSYZvMZBMKQisuxrcZddbBq4TlNpJpN3rmQcjFLEREmIjZPtPdon3uD3ZBFyW1QkZoUIZI8/wHAOI6q6rl3FQJr4FNrLLBAIHNo3cJbQDXZwXusQDfT2Lsnuo1hmosDFB0i6zREs4o2Dm9WuCywUgquuUe11kFp71FRUF2RNRAHD2owE1NgY6e0wHsnCpKoMBApEhlDc8IAdFgtV+en4+X54s4dcOeZnj6wFMnbN14j7/6Iv/caoQTKGnqeokwGLNebk/Pzy9Xq7v37CCxjIuYQOhM11RBj4LDSgTxBIovlFZUwWyT3moJ1Bf0xYpkQtd39/B3EnXtTJHkyzrPoHBCc9HjdYTMbu9n+53D9mWfWUIaLPAi17XsdHEMOsDSXaUTexrYdOoJnOExOe6u7Q92J1S39P5V6bs1ppJS4YyLeDJuDo0OAVIelpD999+2Xnzy4sziITGQWiLJnZCJN+chRLuMPAsDFxTqd6I28tfhNUZiodmCYwBJ0wHC1OX89Xp7bZoWomkaNPTgQxSTeLxXEKipJEjSDmaqoqmhSrzKjHGOttIm60OcV2W1Hb11kWmty1oW/fuuxQJBZY24S0ZiMSuJpbSiIbNc2puc8/oJKvmusLyvhQ8cS3jEuW/t1Wxq71vG4QiDtqxFawT4TccqtqGpCCLPjo0KUmfeIMM1VaUIIRrk6TPboBo+P5jR/FCqNX53CQPBYYB5wmhyhqrq3WFU9jTENYFPoIOOgA0s09hQNUrLYRZGU0sgAB/JSGEWS2SpdnW3OXy0ePsDijmvERhgNwaG9PeKek3iX6f0zOEI9NskQsCJ7b1+8fn2xXHHXx65PCgsRgEiCIoZAambpIHp9mELbJS3liAp6TL74fZdPxI7ArvBl/jZp/m1u/ZWziwAl5DJ3ZqYInIfCsmd8ig0QEYM1e9cnLnWdeV7NpEUpA8B5ac8biLTxfFExs8Jlm12ONsQzI9QKthlW55xvopAVt6oF13MoWmH7iRLUcm0LNRNzqgHgwX9jRyB2RgrMyPdAWovduVJOECNVqWg/mZJWFJam64mhgmrNEfXqMGReG8/9WQQhGOHgYDGO4ziMkUPgqMFGHs/HdCDyt9cnR4tFODzEkO4c9JaUDF64BKrqJekDC9RPt+oenB+p62bQjewXAwQQJotRVRhCSLARm4unf/335cunMW1gOIg9ISQNAFPEqEJMxkFgIQRzg4NMoc6SN6inCPpMVBE2Zg7OgYcoRNnb16mSkLdBNzN/IvKDgNx0PjtCnX7v/Mxi/4UYRZIkjR2BoJKIEGIYU4oeqFNNSbpIXjLGxGIfll6ywxiibKhZ8e7bjL7IqEE0coCZjAlqw3oDD1ypqQgBpipmSSQwWyH4hBgPFgtfQLxA6BERzIi567o0jh5ZNBPmRYwRsBAWAC0W2Zjr+47mjXEKUsMRSzdr1wNUbRzSvEOhL2Lc931KqdqmXdeJiEOgO0I11yhDSsmMzDzBT2OMKSXn0rhFO46iqkwUQk4fNDVWMmjgCLAZTFQpEVkIkJTGRBzY7d2UKJoRiZy/evKX/3r05e+6/hB0oCBRWNdJ8FAJQn6GM70KU0HRd3ym3zsdxhc+iHhvG4jZcpCzyysBusNDZa9+kzfO3vz6YkfrAeqH1wpRdRITXbOpmUkpx1CxocwZGGwch9YP4570BlFyQYXQuGLcHSGm5jnAFeGm3eSdE2cEdr1MYSxo9a/pB1bAtxw9B0vKJ7ONCSolh7eBxjoWAFp8VTMvUGTZR10sYEOOmJeTVvNwAYMYtWxPzlD2n+zt6bHl+6Tp72xjz2P2/8MKO1RpYsp4WQ2/dqeQGwdhuxiGb54///To6MHR0e0+mjO86/49r5nzKqrF4gSIf8JDciM+jiGAFCQjdLDxanz+aH1yrJtl0ETEYJixGSlBjc28GArgCl+p+cKYnAF+T2xHMtXFJ2Rtq2tTq4QQguQya5wNrExCB9lkVBERmGKMIChr7LrALEREiLFpVV+64gEwMzcrY+mc69AaSrEvp3Z4aDP34yMyzdVb6k4ATJ3AAVX1om5mFlUBVC8oFxsRW2allTld1qL6KFspMXMdBHoyvtWioCFXqPGDei1rd2FWc1lL2ba8HAPeGtB1Vefr5rWaOcaoBg7RE1RijM4XJSJLY7kQJrAbMgQThakYq4mYiZiSCZknMHo+o4WgGNebs5P08kU8uEvdLUJxowNa4I7yUlGuO9/2jwMC85JGkJwKiDTK8avXV1crDmFxcGDTrf3AUgCpPXo7g4q1YLkZ2JQ2BCCbheXbrZ/CEzjLdC+Hq0d1Zbd0wyj5RmULpaY5iE/92cyutmSV5sD5JzT93OqTU4G/gU3AqCahu2vBJvDmQrhqHZi7QT0D3u4mvmFOUrvTfMY0rYsqggL/KSUPX1AM63F89vL48e3bX969e+fu7VEstrVF/IrI3SfYPcSN/BTJoRlNkHFcL18+/n59dQ5NJTnPB5yKX6D+B14fo5AqQnZgNsADjxnuuPVU1RRo6nlO4ss9asJcgcAtV2T7jrc/RTl2+5aLH7XGuky1hVUDedN55HWgXP81Mjud8pDW3A8Awb1EZsQcmFNKmRfWNMhVnVIRKry1g1EXB22aDppZHe3m5xmDq9S3eVCpuHyaS6i6bI1PUhOh9Jc8B3KvjcfZGWNOVpocefk+UzkmGATVYXV18uzJw0+/WhzdB8y1nPntt/mTfR1N5q3kZ2GEam48DADDMD59+jSN4+HillcMesud1BtWXfNv3nrvx34jqznVPkjUHMXMKV21vq1VyCz3WIumYu1UZmZCNtG0xAnc9TnzcjclhajkxGhWBkMpg5eFiav6B0CSNGeFenLlMqZaDA3STZdpTUnfaSew7OdUKGXEyEtDvndUPKiW81vMinaYPZh7VqX9UrS0JmxoO5N698ZRyaNyCAzEMUZNcnl19fT4xbN79z6/fYvUjgKaiCD5oSg3XJkiyZPcWILvJJTRxbwizHB5+eTJ481mw+QM/hbDMPsvUwt4lcdolOkkbf93N0RaZS93wUMQLRGB0sHOzAIzLJDjEmWHUP05M+vUglBFBOzKKFTJbc0KC2geEBctwUlrSrFoJvg3OQkgVAwr6wkAkSn/z422UBy5Vty5aPxJDloawjiOVok2jTbQ6gfbd6dBRzSkWa/EVk+j0GG2WTCtbD0gZhXi/KJkTElVhyQhKDM7N9UdoYGZMRkJ9V778+8334wcbJmZmGuKhXn/RcYwbp4/f3rrn84X9z6jsMCe7qBlHXof8r7pMAwzaELXQYBRsRrSi+cv7n/6cNEvSPMKu/Oz/JdmivtcU9tS7uaKVfl2zyll4HFObfNoUQsJZv6ATZOjgJY/bP2iZ6Lk5V3LfKr3OIkkEW1rBfmk8ZhgCH3fuWcPxWhzHZOImEPaSH0C4bHAdmwKEuQnsECgHyWJimLWz6Ec2srPp1GYD7mBVEUzXEyDSQ52XDjiu+PpCFg9NcWAs6r9FN+n1r6Whur2fBupSquqppTYECLHEI04dd3p5fnjly/++Puv7vWdkvPewQQEr+ZsDPIKWH64XEqmPjg3KPhjhIqanfGvi1gO6dXxyauXwRBiRxCYMpdmDbVdeE0ci9HMroPAKu5XRJnJ+eEaR1Vjnlqll/VdczTDEyqucYT6M5hSym4YUs2FwSylRGa5QXtBJjOjoqEacqHqCqPMrF4JrFE3tyDQlVGDhZGS5Eqe0wmY1d650tgDvj64pJR4XlnbSonRphF8qs8INSubmILo4ODAD+etbp2P6qdhZoDn2isR+cmoqr/wqIo/ICo+umaoLIhJN2WaclrapTiXIeWskWcrk4gUyHYIvPp4CCHzN4qEEIxjAp2+ejW+foWHX+HuHbLEFDXXcd3/7P6UB/pnKJNdnbaEy4vLJ0+fUwy3b98OMY5pBLP7EbYX1vKi3lQ0n7y5EoirfnXLLeBEnUPNa7+11c8AeIPHSbOrEEjFK1Kt0fqrCpnkbhOzVGzBLCH7FtabtROp1Yp/SNWdHghmxVXpE129SUhB0GwshkxCzmcuMmZWdGAOzjvJTiea8M5ZfPV664AEyq5z6xwtHNQ0G3+ZIeRUmcyXYVev52MIuBuD6ijOdZwtsqZWr8UPwhAVZ5HrhgFZh2Wig8PDMY2PXh7/lz//6X/913/t+h4GNnRO3vb4kT+Zk2O+aTl2g38/XthT7kQAgcrF2cmzx99vVqs7iwAxScKU+wgSyMhywIyYzNhLhbZOkezhzJ9MZlrT1N0sJw6Dio8OTbguPwuN86NxjDXzE7NkiEZtrgoWULx05UkRofpcUwleVL8oSowBxYT1WGA9MRTnk8cg/XgOYF6ipbh/8t48lkZN1RsUFZBLXZgKJ37arVeTy0nm5Qsz1y+2NOPGs4om6aKV7Ji0vC6pTWZB/i3N9jnbv69sREDOt6Bp2cTsKNmuBWFSbkiVGZH5fLV+9uRJfPjV/dufAFBT5sjb2cDvp0ji+6bDACBQwJCMAi4vr45fHt+5e7dfLKSoUe32bwwW0d63e6Zz+XTP+ZjVJbk+Fe0+66/MpgC1maW5UbharRzb0ExNFCVRVJM7N1S1TNYYY+xiCEHN0uilA5M2/hZmthAiEOMCDaA6JVRVpVB26lhldS9rwaKqScYm0dWXoOm6DCZtff2GKeO2kmOcTYOTYYOIAlFKaprhdQvNkBGxjG0x+7JFWN9SNgFtcqG+lSFYH1ciijEGkKmKihqYWYhOV6u/Pnn0r//8z4u+J0LknO0EMQ+mkmXWznRi+RRuGjP/OCFvEG8GFSBBhsvTkxfPniUZzaCSJKUuBneXQxVkqqqiHKagV32UrKqPoiiN/XLuHag8TxMEWiHD19/OnuL6fFwDgbD5et0Qx9pdUTlW/SG5FesEnHmN76z71ZBhqcpmcwgMIRhKA9vcvTbAZswUePPCkuzhh9DCTNmFwLp/R83G01hS+K3Je7/GvHYwa+3vunPLTMC5K26aCNeCXxndGSXQinEMkKjVzoWu6BOR3436pFtKgYIhaBpfH7+4d3py/w8JRgFwco2TzYtFVP/+JCB8/xBoABjDaDKM55eXq9Xqq88+ZeYk6ePxQLVzvTwqs76a4ziO41i9l8M4qJnTl/u+r5qX329v92XF0prmjAEGX8QBgEhNKdP/K6Ms9l0Pg5qqSGLO5p4IlwqreTaHwJwbToUQwKyqGMcxSVV2Jw8UEUCiIuPoWRAZAg05cOhPceDsVnUlPfvxC5qamanjIhVP4i6Alcjv3PKetqxL1I/z4FsZJfek1GtIsEjYqLw4P3tyetLHyH3PQKYVUaHC+JWWw26tkzfyY8Q1GQEpTIbLs4tXx+fnJwQVGU0ETSTNHfkV8FxNmtS7uWmytaDuImXV7KZTKV+hrM75MYRhtl7nDfZGvfbu592kPC87Kju2HQ4VG+oItBd13f4rMqEx+NodVgjcPoE5Cra/dYZcU9plxgg1heMTikeX8lgxAFEl0xBCMIQQuZQ+N4MIBWZPahPVHInIi5hrR+rc9vmNaO6FmUgSBakuL86uTl6Nl+fd7fucM8zah5gwA8J3l/cJgVa8oE61ePn69PTssj9Y9H3fxoqvkzJpZnyT9idbb/fuY+8GPsBVV3LdRFSr99/MoFS7UI7juF6vh2Go1Hw1o6afpxXt1S+t6/s63csz6/l+5L/1okl1TfdsP984hAhxzY6VOHDQ6E7ZvOZzjO4LomLYOQoeqkq2O/d4j/18NpuNiohRrudbTiDTRYgpBM/J8vRDM5PsS2EiUknFbONCNZjphEV5qKtJicZszYu8KVnmn5bp8kP3EkWR9NYqzKymokKBiGk5DP/+zd8W/WLxycOOiRkBCBxKQLmdOaiGLN7CDXsjczFoggpYoXr2/NnZ8VNNmxhMZIxMHDoguymQV3mnOkySDZrGcPH55P4SACraWjkozcqJ1NST6udLPFenh0cNDc0crYt+SuPMDHVTqaXDNMvK1upcVgppI3+q6gnFVJXgfbFAwNoCLv6i+m98b9okGbdrkYhQGYf20W432Gw29RrryuZxSxDVpIi94NqurrvCpQIQ5p5Ph8AIGCzGyGPypAgAi8WCObqTT4aNH8MU9fJ9OSpwa+WmcT0EHOCZksowJqIOMi5fHZ8/ffTwX+8QR0ChQlx9oZPx9xOf5fdtBRLUkAyxDy9fv7xcLh88eOAEJwMCMww1BEz7qnvvw7AfRL663Rv24zQuVdWU0pjSOI5uvYkIgY4ObzGzW3jMDMq11fNtCwyfZAX/6mPWdZ07braO6BuPzRSsP2mDfCriPRHqBkQI2Z4hAENKridpTpC36k1lgDg4x8hFK1+goN2DBw9E1RNaKwYT18oBnESGcVhv1huzzWaTUhI1E1NC13Vlylo1A51wolD7YV7nu4s7jvxmDcOgHCJziDGwiSSBgdlC+NM333768NNP79w+WhwQgQUAQo0BTkMPlM9uwO9Hi8FEoCMRYPL6+Onl6UkXOCAirbtFF0NIo3gdF2TXJYwQAscQY4iGXGnSAY+Ky5FB/gQREQyRues6N0eIaNH3zJxGEfEAita8wBijdR2VZknXQSAAsQlZmbkkOxXrqgAPCrzpVCMt91NQVTQBfm3oMJYTqHJeoDWOUOfUbDFC2/x01BWgFrOuIXxVLwjunJd2YxSlEI2dV8GYmVXMSoDGP/HypL594ddkuy77n5n9VNk5qLVlVWHClf8ygCQppVJ3DbkJVIwxu6+LKQmiyqNz2ouBRIQ5mtdB8LGyKYrJzEaQYRzHIS4iR15dnr169uThf/xXIGlKoMj9AYh/uvOzlR8NgfU+tSu+FZaHEhlBVb/59tHl1XJxuDi6dWu92aSUQheZg6rm2i31t8iMfCOoyix5p9kzAG+uFL2XCXMlsFR2ZdY3muCwqta6X1S6do3jmET8SXNNM3AIHLkJMscu1gL2Wc/zF+WBodYjMXVRKT6h3HZ5Uh4z3bWqflaT1rNGVr3nKGkcudWZ7zd7G/0Typ/UDfM25v4C5mlYQcYMspzpmFldeeDd44EuRqKDvuuODo9UxQympuRgW0/bVC15daNxFFUEIiZPogcTcWAKgUkEXgrH6wY27i4pfthtZaXGY2uabF2VsraBrOe6iSEwDuHw4ODsxfGfvv76fr/45J/+mYDIDfJVQmglqd4wYd5C2oUYeZ018iVRhvH42enzZ6vL8wA1ldwO3CGtuAXy3bPJbCmJDaCyfKuqqYXi5dOSHtASIz1spmIiSkQGHYbBn7thGJBzkLLDHoUUTYUj46jg+MqFc8/Fe0oenijrRmxiZjlDvACpD0rrUQSrSl61u65TEc+mH8dxsVgUOHFTLJtBXddxiXpyw2rJJ9n3GAYAjiW+LqEgsZt0KaW+7ytS1kejXS19/bPiNKKJJzEt1wUsQ+nJnqOSVPg43ufIzEomZ60iQvCkQ1MzG4bEQf2qmdnXVGbqmFGIeFpIsJ5SISJEnqShSSWE4E13q/pOwZtVsZoNy4tRbHH7Ls5f4+gehQNwriOVNdrsoVJuiCLvMOHfmxXoM86AUeT8cnX8+kSBw8UChVJVT5CQ18BZfgS1a+Fst3BPHDOFMM3C7W1MRNOQMpuxTBR20yEGotKEuoRe63R3FNRk7REnx2M+AR/6HdNyFpmvT39DcG1c1zb/SZvQPttb0Uvr2y1Ti2b7r2dQsJAAeEtmP6PMhM2PQ4vTJYDHTJHcp1FcH2ZGkJTdrF7bSEQ55Yq5JKLkqReFlV4xvYxyGbccLSkt5mZqTX24rAQTmbkOI6q7pgxM2R8bkwBxcXByefn98fFXDx9+efdeIgTkoDmm21B/dSM/IO18bpQ8gyl01GH56vtvrk5eps2SKUFHZo/zDQ49KCFkVYUIgZRZA1l9LhpyFkpNqGKj5BNo10RucnnrU19NurySVAjID8bsaamrfJ1IXDTEEAIV96zbnZbt1NI7sIFAaixLL2tUsIRNtDhdc1NcnafSU+OYrW8xPegIIST2pJ6pZg3chpOphSo3QcFaeqauVD6wngzfdV0nyRc331cI0UfDH80K91yKANTqNmKa2QNzxlAdz5Zyiq34VMY50nIn6x7cCWeVl6Clp15dsYFYVgAiSzLKZrk5f33x7NHRHxYhLkAGVTBnK6AcsdBj3tHF86MhcAsF6kVScfiuN+Ozl6/GlLpFH2IchsGA7P2oLVFs/nPAUZLZ6frZOZAtAMqdqboYfZX1QuzUEJ5VTcYhjQOKwx9logS382JAccLEGN1VyMWfCZBS+jmcehkU/PXenMg3/HCWTb5vm6ISvduJ17zxae5U8xAgQ8jLjPvxTYN10fq+U1FR3aRhI4OamSgxEQUi9k7PTKSq42ZTalt5DmzeuT9eRDkyrmaCbDp7GgkVett1Z87MarbabA6Ojiyl56enf3r8+OHde+xBS6DL45Jhv0SN3paP+vcpdc2qZkH+QgWakNZydf74+78NywuGmIwM6bpOxVPOubS6ym75OnMJ03pVd1v/Tq6X4hetAJiX+FAWXZ41VAqZJ1qU58Y3Ni3QVNaKikM7pK03j8gPjpivJJjMnQm/q1uV5jnprUuz1QzqtM8/LENRwhrTntGAeuu7Mne5EGKMMQSHOQKZUmWEEpHIhOhcDHEuldLcorZs1RtZ1klzqXkzMQ0hJM2EGneEqhqREkC5oW72gdUFNs+KLQhtmUE0xTwDYxEpwcblxdNv/vbHz78KB7dgAUZA8MLnVTGgn9Y/9CdZgdXYqrgmhovV+tGTJyGEw8UtDmEYxxiju/g96kbN0zVhZx22xoDL9ymwV76GZUecKyxd7Pqu88dVSwJZ7HLNuun2BuYQ1HQzjmgYVm1+wq6l9ROlpNoB2U3aJBVUxXoOb9v2ZdlPnR7sp7lTm9Of/TbC2h56i31S+0uWWaMOhJq9rgazvAfCZDsSE4jZch3ISAqLEjvpHAKteFwUllhHofVgwzDkhYxzKcf2TELIAclJ8ye440j3h4TnolAl7qKJHp+esun/9D/+p4fMbgJGLtfutnG5ojL2NxHBbdnS2effqScG6sXpq2ePSdNh39mYInVHh4fDMKTEoeuMGBRB7NUeSaVj6vsudkE24oX6fH95WbTmYczfUj0TmzAjF6skzCCQqN7iiQ5jltuRFHMN4zBWNplDYEFfAyApqQgT5c5/3tg2xtjxZrMJMYZCoqHGknOXiC84zm9xh6oUUVWUdLctCGx1uzrmKuIVAfMOVbEPorjJxaqp8S2QWOkXCGC92dRskzSKW4Geoe/1WcxM1Xw5bZFVqxUo+fxsem5Qq3Cg8VhNhhBzFztfB7RUtHH3Eqsx82JxoGohpaQeJWU3HGvESiUxKZMyRTIdl5eP/vbnL//Tfz64dQ+xgymgRmwlllaad5mZ+75+tPxUR+jsHgBXV8tXJyer9frBgwexdEDuug4NXtYfYqbLEGXqa67iQtW6VxO3C32uqJpZ13U+a/PMUFdatI9d3/cxRs4eO4hpSsmpMGie8K2b93Ovik1v449CqDhFi6WUm9bWnKDM23IvmPfBmJQGAqyLMXZRLOf1+G4VJkE76UKIRMGr6SRnqlWeAhEFFsmpvMwcKSckuf+kGujXnbyJMoeDw8V6tYowNXt1cfF//Pt//V//6V8+PTxSQIBQHc03cPcWUjT0Jsm6vCVVqGwuL15+983q7DTaYEiWVka2JozjkNQ6QD3mDDZTS4lUUIIJ+dnfWi7L4pExwwxtIH8yerIvf6c5kTGVtFOHtAYCJ6GZ3dlcrgGIIfhUq4tJhUBVjTF6Yeu9EAiAmfu+F85cBAO6xSKISErEFPvekJsMZ39jjFpYKu36w33f+fl0nQ9IuL5rPJe4Zn07LZVmMMoje/29Tmmk3CzXxnF03l9tYVgdoZk4UGAvF0rMgRRTUy9vX3Hdb9wmjZTNIa0OYZS8QCJWtbFCIKiycowQYgBRYNaUDAoEM11f2NWT7w5u3+0eHIIZZahLeC3f0KLZ0o994N+RDlNHuNVBkurZ+fnJ6WnXdweHhyBUyslms7FSQrNuv3VriQk2FZ/lwnQSL/Ij4o5Qn6N93ztfMYevDRQDec3ATIjKYLdFh6lHr1eRT+zHDkQjkyFeXmRcafyK+38FtFvs3TJ7RLd+Ve54/abmzWTrbYq3ZW2tXGpzls0Os7aHOhBO4GHK9qtXPS3fNHOM8+PRXBAFCsTEMUZJaUgyJOcfGdg9nQzQejO2eevI+pCfku2xRaYTdn5GYEQzCMAhJuifvv76d/fuLz4L9/uFVPUQeaDah+MGE3elPhFEU+jOPwEThmF9+vrF40cRZjKKjgECs2HYuMkizg8hoRLbIVUxUhENebnfgsD6lyvlpDhC89s8VWq67QwCs/+TiasTKnu6S4Oz0imiXWeKIzRPOi7XGBvIcb5dScko/o32yGWUJqclACIr5UNVlZHfuhmotSdvsQJbCEQpOlr3SA0xtaLL1usWHVG9rGalvV/Z+UTLQ72nW4Ky5DJzdYQ2K42Pf67GYplPW3oRF2+bLwOqb6oCraq5yuQ+CATBI5NpM6gaOMbQM9nx998efPrV/bufocvRSDQeHeAHIP/N8n7oMA5Uq/X69PxsuVod3b69OFiklFStehiwU6gaW1CkOqbRg9CVl9UGhJi5i5N0IboqBICZAsVAk1dtctJ6lbIG8GaTrwR4BddGnt5GZhrmO/327X9Vj9VC56QP50+2AHbr7wSpmP2E5h9ZdVS27sN8wuqoqFNguvyciTkiImqMndoi11Cd6laIWhKDqauK4sdgqr2o5Y3l1AMFMkpDiqFLaeAQOMQXJyd/ffr47sHhrYeLLicwze7Lj9YP/56kaod7hCgtl1cvX5y8fHF00K+vVoDGEBiqzusLUT3PhpiIYWbMMPUYPpXav7bjbq2PPzOjkDnhC0WNBRLBo4D7YoFEpT/oXggsmdrlOogz4avqqtnjOj+r8o3lrH5stWUojlAzY2ZJYoUO48p6SomZYmkfT1NxToiI21vl4ApgkVLyMA1Rbjpf3J674vhXHaFaOkj4t+4IzbU4rhHPUgiNWMn+Yi9zbYXi69dboiE1zOLhKTQtNXINQyIvk60wMtZiPXuMBFONUCLLCYiuGtWjACBm0SSjhKBd7GIfXz5/ev/4xd0v/sDd7ekuAADUECon4p3kJ0Fg1SDMbLVanZ6dXV5eGvT23Tsc2MY8RbSQMOv2+RoaMrQZAbq+WnZdqOVXfHxjCOh7M+ti7GKsHE6/8JxSSkRNf5PZjEFp4NActz6KP0F7+DiklAz6iZJtzWY/5AVrMvO4agyN4qlqJnONxoN7nKNuTkMP1Hd98XCqO7JZ9Yh4IzKMgwyDByQExoGZGcXjdN3ZhsAmWK3Wd+7dSTIagfuojK8fff/F3fuf37+/CFFyfL1cDt1A4A9IqxSiebphtjw7PXnxbHV5/uD+LV0HM+4jBdbNMHRdx7EbxIBAtXEtM3InAA7MiaYI9hYETg+jZXLglrTBli3Thd7u+bXG96OtbQNYyWdvbTVHvWzbuRa+BYHFGsN8Mdk68fp5PbQ2n1SSC5ogkTZ7nl3qjulmJdLGTeJg3iH/wJi40bYLga0VCEzVhtu8QCKolblBe8Q7LBKMGl0kx3JzcThyPKgQ6GNupZu3W/4wIaNA6COfnl9cHj9fn7w+uv1ZziiAU49hZpy72byjvDsEtqAiIldXV69fvx4lHR3din03JlECRRbTNGxCzKGZUNWfhumUpzO8QBiRu+Nj9LvLRM5tQskCpOqrKRoEiEaRNAxdjO4g5ZJY7S0grNzRXSxEdhD+7JUjc/gN++1NKoQXLcG5fJI/9hC+kx0b6G32Q7Vit2OiTsW1K9A2I4ZIucu81l/5GRCZakriiT5EFIhALHkTpRBitwiqcYwhRho2wzCQqaiklBTo+z5sV8WtJwlSwCgQaxKmaNCUNCwOzq+uvn766JNbt27//g8B2P39DQReJ63OYU1HMDOT5dWzJ99//9036/VyeamaBpVEql3HkmSgNakkZYUSa443pARJxBSARODAoWTKbumjqOxfs5Jc66qrFuhyX/s1sUDXu4h2rUAzg8hYejWgWIHlEhVAHyMA3naExhhZRLjAw5ZztcYCQwhd32sSYgZRiLE/PDQRTYmYwuFB7KI7cM2T3GNU1W4YtmKB8dYtipGA0HX9ONbqMFzAygHPX7RnUl9g7ghdLBaiwiF0XSdBmCU0RUfHMZUxVilBIzcrMx3Gb4LOILBYgYYSn6ovCgdICRjWa1d49sYC3VXsscDMVq3187zGQSBJEjlwBIcITcP6qouL169fHz19+o+f/SMWEV2HZq7mVfPdyDA/BgKrhmjZHK6BHLNR9Gq1Pj2/sC4e3TqC6WazCYGZWFXHcXN0eAswEeXShdzMzCQlp8R7PXgcHh4tFv3hwcFi0TMHFSkF55mAWjTI9ZCcjU0UnGBRHhKbJ9gyceyCmo0poVGaSsamzq/vF5BZCen5It2E7GZ+z6kuC9WA4xzvrDifzDszV2/rdShAqEGzcmAO3GpXVrL6tjQJlGlgBtOshBIoxmj5dvkddwSEs9zFNDK47xddd+vwYBAZ0zikcRwl6ej+tHpiOYZn+a2kMVB359bR+fIq9IFC2KQBQNctnr06+frW03/5/R84t5Mv9eStsPMp03zeIL9JpGx83zb7iIBc58uLPTsEAjBTkc16df76/NWLzdXF4aJL46aPkYKpDE6YdL0rxqBgYq6V1kEITBxjiEFsSm6bXjQeBXeEtkkR1clmBiuFWoiqMylzPkxN1JPN9zBCUXr3tFZKPSiAJJItvJwtUM6TOKVETQ1F/2X2PYqqCBVEkSRerG0cBvfhS0rM1DOlYeNnLikxcxBRVd+stQKPYhzWawKiSBpHr7nIgdXBtjA2pZAB3Zt6LQQyiGkYBq/xLUnGUdw1WhihKNUSJ6krYU72zdjiF1+5AnA/TdYqGt2iKiYhZLqKV12mkhThz5wHd5mLl6BYgfmOcgBMJcUQEQKBRGS1ubjz6Z3V1dnZ8ROszkGMcJuIQo48kzh4vquj50dB4BTzqba6GoYkF8vl01evJIT+4DDGaJIoNwywzInKU96VLwWIPQmM2BAYGZuODhYxxi5GRq70nxVDL0pEPlfLhWYVMTNkmSkUMyV3rPV7Vu5N6zapUEC1ntOPHbnrx2grCof5290DtT/R+Za7/1DsSJr/ELU4R/68TtuMbTkobgXqqodmdg6l7ZEPShkww/QMOK7Ofmj1n9UyNtll2jq38sLoWftgAxPMecBMfYgphDF2qRMxAUhVk6RxTEmSmMHABA4dMzEokDGZmZiRKUQBBA7hfDM8enXy52fP//mzTzUEBTpCMGPTjHsMlKjGG+S3h4IV7wA0zF+fEkxEYjBDmBKUBDqSDc++/fPJs0cyLHsWMnO8UIMqQujUzIwYufObKxzK2XACQw1SGKHVIGtVqPpJ+y3VdHUoyDh4YgDBTDTFGDTjYq4vH2OAtyozYw5OGuGSjdCYTXXdNnL/m3cBJELBSw48xW2YVExhbCVDCADNHqNceYGq8uhrY1Uqp8GfSQH+fIblY82dX+Cz3IfVXHULxGBVLYWfitaSd1haVpCJqpWqof7wldJo/oKIkFIKIUej2i2dlkJE4sQWyr8KIVtsNA9S7OrE7J0jlTzq6XpMklQjoFlH8vG1QvgwIrDBmIL7inyxiAyyUdbD+fGj59/822f/0//CCYQDxJ7BAhgxYAYqDe1+nOyBwEZbLO9ptrZnXQMMomR2sVo/efny+Pz8wcNP+8MDVQFZH/NlBCbuwpg2eXTAROa6Qe6nV2v1MDm5xVRlXo6BiFwTxDSHiXIdL80JQ1boYUD5HjkEJaWGZwlqaY5VGcpSXz1+9X5aG7QoiNre7Ol1Xt6zAoX8g/J62gm2djvtZ/6y/vW60orC0kLdj1V2st8rJxOUQ1BD/cxu+ek1aHL3F0x0xRuFPOauVLSHa686I2zZrRWFiJoLnC4xmxSE6l7JMwEGQHz/AUSgGAJCNDIOUVXWw7C01UqTeeVSAhksZDNyM4xdZDE1JQrRDKMKh+54uf7//OVvR0eHn9+6ZSEgX7/k1roKdF1RDn5Ymmd96/2vSaxoV8UmNkCyTgJvGQlVqCFEYmLoCB1JNkhXT7/+94tXT0k3anrQ95aLs9OYLJfsUkEuOQ32KkAmYqogVU+dFys1st0Aooa5Rjn8Zk6pqNSBYskpGCFSShpiFBEZU8dBRAiBmChARCl0ROSehtjFXHEmMKU9gbRsdZSc6rrOVJplXpdi5MBGYgL30nGee7k3EsdIgUmZQ+AQWBIxkxkH4xgoBA6BCgD7NgawR92AUPrfUggco5uVIIq54iOICYGMzdSMzCuDA2Bw7LvmuupdNXf+G+Wyao7opSsi+eCrzuCKG5YieTA/MDNLUvbS1SKepyHSxHBKtkldL/1D30kIkVhrLW93k7YknV0QhaMeceBOFKpGsBhDt1hs1ldIWL1+9u2f/r+f/MsfmQQQCmBaGNgou0GrBvaj5MfGAs3VczXjGBVkjNfnp3/77ttPP/+KAw3jCEKMHKPnKpgk2WySN17ouu7hg0/q9U8YWP3aW7S0WvqhUA1LueY82p4HTTx92w6Ab6DIhqNtff7RrGV7rcYMTq6ut0NSvab5Q56M85ril7MQqdiK5a2V6rc+Z93FuHN4w1sNjs1PDNXC/AHJjT2pOVz11xpyPgerEmgRu3BEi77bbDabYdgMw2q5FJE+dot+QUQUYgwRIRqzmqmIEa9Un7x+/d8ePe7/+IeD27cTqGe/dkEakRQxTrGExsdcr+bXDHb7xYrnYPZR60QohowCwYA0wDY6XK2+/4tcvIo29n2M0K6LAJihTCGE0PWkKpLIFEAgFNiiYqgQM3Ou2wU0yl8LRwBq9kF7jkTGxMQcAgMWYyCC01ChmcSIEERksVgAkCBk6LquJrnXtcXF6aNuxhBRGgYpqfFaKrxIkpFsGEcWIeakueR0DCFKJhk4qOco2JgkhBDCZrNBKVEdJRAwDBs/rtdOi6oiMhRHaGhaww/DAMB3woEUHSmnNI7jwEyqKkm9sr+IVLrM7F422nm3iP62OBsJxW2rqsyxQHwMIRweHlbGfgjBK9eFEEy9ewMHFWbu+4XH8lCqS7pX2XdCVKieJZ+STbuuKw2BNYo6kV9EKTGb1lhgUXfYjDTzhtynbcTGUDZj1TQuN+fH+uQb+8f/gbjHuEbfATQqgRD5HYkte371Rg8ReYE5NowqxOH5i+PnL14Qc9/3Bg05G0vHccydepKoKtS6EPuu87te3ZIt/rli2Mz+2dNANPPzUjUHJ8/+b2nJ+nsXD7YzUd/33aJfLBbDMGw2m+V6PY6jiUpKHALzVGHQrUtmhupyufzLX//6D588eHD7dgeIe+OZwOy0J2qQj98S837N82umIBtgtVSDf8NqIEYwr4Il0BE2btaX3/zlvy/PT9NmZTpIoQimNEoavfiIqgLW5QhQXoXdt8ZNdlp9QYXNyE1FMXdIatPHHPm3uSGJUzQr78ITD/xADmO+cxEhQ27/QuQZyTMIdPpAgWcVgXmKfT5tH6AqNVxSmSk19mZm0etZFzCu/d+JKMbQlsn2PTgkOzJ5iSu/IV6ykYi8OgwHCiXJYLJQpzgoaelBURbPYpnkpowA2ziOFQLHMSMccjhwLHZpztgWkeVy6WdYIXC92jgEiso4jiLqDdWIKYSw3gy+Ex9hPzITjZuNiLAkUV2v1174W0TXmyHG6F6DMY2jlwtv6DAAh9jVIKWqEoG11huGiFxeXP7pz3/6p4df3j68AyipdhzEoO9k/+XB/zEPEQBLIkaBQyTTi6urZ8+fL1fL+598Yh79ZAIsiQ7DMI6jB4pDCIuDA+dqZsSqu2t9iUTbvtyCcOVdZWs0Z3Qjv1p5g66l7qNmJhATe6H96M+QyDiMMiZiNmIhiIhA1NVYYo6RzE7Pz7959Ohe3x9+8kkCBZAmIbXQmIDU/EUBxfcVGP7YJKeBo/wnEzAJ3sfR4NFWcouRoOvV+uWzF4+/S+slWU7TbPHMar1jU81lPAlNJTA0TH0tOd0VP9zpVm0vVTNq6mHmPeyBwCrkWYPlxLYsyCrXBB0Ab1VmhgJLVZ+mBn5CsWVjyDR1R3dVDcwhBETLBTlLmWwAIUSOIWisajozc4ykGlUrT8T/hq6LJfypqiEyBS/iGLS0jjJFKM3lzazmzW7ZDj7sledZ/MxS73xBFLtOgMz53BlIR9utMnUVpOst9Vm1517UfVpRXL1AWj1u/WteIqrEqmA5Zpo2m0fff//lfzq9/eAz9IcgZUKwaXq/g/wo29HDS1NU6dnxy9OLC2K+fef2MGpp7S0iYqoEeFZf3/eLfuHdv3Qr5dk5hNkH4q3ebuRGsl/MAFN1wpIr9Q5v0oukZEBS20jSlL1DCmigyBz7fhg23z9+/OBw8fD2ra5fCHw3FuKUK/F3Ndto+90E/dUeBDxMqGBbX56+/u6by5Nj1pEZKKxM7ITWLDcE56rPOgTSvHK0ZaJHhUDm0my5WQErC3HPzalHRA2mlPLrtUoGWY6xOaJ4/GmyAueOUHht4VIhujIPyinNvE11xccccfMKPseMEhwryn39vPED18NRdYZlQ5OI2WBhDoE1bqdNJwrOVbSoPe26ZUFZA/Lh3OVI2ZkZRaQ2D8hWoKkRaqY8MaPU+SqDyNURylxf54tynzCHwvn0AGShfTpYTqPZxqdmEbAysE3mAQEq6ezk9emzp7c//d3BZ3c8kOPgx7hGA/oh2QeBW/A/j82F2CkgputhePr0KYgObx+NaTSKRpZSsiRE1nd9OAh1HANlc377LKteUJ1RzfxG+eS6t+0jcSO/LmlDkLup/YHZAC1WQd6+1DteLBbh4FDNRtEwDjQMGEcbRzVJCcwcQ1gcHb4+P/3u6ZMvP31474uvBGQhBCNfuqpL0J/CyuabvZ2fp8uvdKrt4N8Egra1XqsACbI5ffn8+7/9GeNqESAGEbtukakcqOxdbBoboIQ8UAJWqJWBC4MjP8K0RzJSBI8FolaMcvdjjDEwK1DXejPzdkhWCDVhXmxzCwK5/DaWPWsph5tRXDUnFudcg+zFzbFAMzNL4+hbOwGyWmBd5FRK83vWXSz5DNUFCvf5i3jtUPJaH6BAU2a6D3GrHwBUM9nZyysXe5qIDNaV+swZhEgqBAJwLu11EJhUrKCUQ6CXg+FSeTzPoWsW3n23sb2hb56l0zatRWiW232ymYzDk+++Pvr8y68++RyciAIbEzg3YHjzAfbJW1qBhNwrPA/Bcnn152++IeZbt47AfH512S8OF30fQ0CgQFxz231emmhKiYBYenb4frkZmq0R2n27Gwucvf2VLk43UlTB3NGBgEINd8zzbaZnz10QMCaKMfTUG7MRq3e9l5RgEsK9w0MN8dXp6d++//6PX3xlQAw9TNYiByFMPa2t+bv79rc0qVowJ6DUT8hMGULOFCGDiJy9vnzy3atn3x9S6jkMJqMkr6KFAhVUu6sbuFgGTF61K7dQdxCCFbOp6XjgJS+4tDBT0VhS0Yko+xhBpUDotovSMcAs9zoItdWDgUqGn5l5l93rIDC75IrPzeOLIWcATi39MkkVoNLMwUOSsTbX3bP6uGWYSwG0OoG/aP2uWz+zhk6dN2i4lyVaatUcrBBY/c8Owygahub0zRyITSmZgTnEqMMweEx3KEmN1Qr0JEJm9k4DIYiqioqfTErJR8njsoV0CkmJAKPZJLGiFtVgbgHsyRGqMPannwmkba0qL/AcAnUUjmJ8/fL49NmTL776Q7j3OUwC8tza6339QXlbR6g1/9bD8Ors9MmzZw8//ZSYN2n0iuMHi8Vi0efEhhJe9p6IbAgeJ/QJXS2+LQicv9gbC2y+fYfrvZGPRXbZpK0nKeu6mRJAZRWwTO4VTTKCyDgwIQY+6KOiM+g4mKRxTONmZI68Hscnx8d/e/L9lw8/vdsvOjBBF28wZ66fVG/88iOXFuGzKqk0QWD+TtVUiEZsrl4+/u74yfdpdRUOANHA1Pc9cej7HkAILIFDCJ4UISlRJfoWmRyJNGOucSl38ranbqoCZkw1SCoCmKtB2YjJarGZvwbgMInidSQinnqMGhGN46gigZm6DnV1Yg4hdDGS20BlKfLfTgZiIUY6Haa6BP20Q5E6GlkbIKqcmgkC31qFryiYq7EUlSDf01xczVKCw7kfSJK6FUhE9fM5VXbqzQQDOPuQs5VpamaZs6NO0eVOzZ9MtyMzEYdgMcYYQxdZ1Qt19X3vRfJDCDF2zAoijspzOowRU0NqoRLhpLruG5h40fVXw+bVs6fHjx/97ugeKDAFT+gq3ZJ+3GP6I2KB/rQks5OzsxcvX1JgMdVxTJKomMwcmDHrZD75vsstzBeImZf8Gk3qRv4upF2Is9TZ4PphQ1POCYz5KyVGZOaup8AhhtR3w2YzrtfrzXpBxMDZ1eW///UvB4cHfdcRhUjh3dguv3LLsGqw5JXjbP4RARAxHcAjNpfHj787OX4akJBUM1F0RjiYLZ8EK/7qfLDG6Nn7q3pS9kZBbtTlnSd059uZXQjk7PCtZd12GBwVll0vL91Lpk7dIQTRnBWnmI41G9C5Vbd11dZ83n5lDT/Iv3Jo9zo1bqKxEQjEk2G3K/OxnZuMO2O+c7/oDQ5LJq7eubyq26yr3dZNrUQnX86rA3nv/aq3tZwS04QRb8rUdbxQSbEHRjl5efz8++9+98d/QuzASqbgDhTfgRZzLQRmJSswCAqoWlKlGK6Wy+NXr16fnt26fXe12Xj6Z9dx3y+Y2dTEu7DmWYac7tUMwdZVTUcso7J98T+EjjfY+auWvbHA1g2Va/mXr+qa5fOKjIL3l4ghxKgLGftuHXl1fo4QmHlQ+et333351Ve3Dm91B0eRgiCnSuWZY42Bp9tVhkuUEPjVo2Dp6UFWqyjUZEEGoGIymg2r18enL56sL8/7YKajqZe4C4bcwUOLCZJrdzU5fy041U+qvYLCIvG1wnMGJnDQqVlSXSurN2ALUdploV1hG4YhgFlcMK/vZZlhZu57T4qIjWGaz7BgQCiH8FlGTUtFM8t+PXgQNIuIEE3eyDpQVJoj1p875nVdJ6WnhIiAWM242hHlcmqBtGybFW+q5+Sh+DmBXEwHlXRjVK1At9jq24ptlUO0BdtbSoojm6qmlHwgiyPU3EOTHbDeOlQEGePVf2KWMzokzwRD0yyJg6sl7qcGiLxaij+fpqaaCBrJ1lfnL589Pnv+5M4fFxz6PJEpoAmgviUu7INAAgCv3X8QFwaoYTWMy/X67t07jx4/eXV6ShyuVqvYdYuuPzg87PueApuoqYVSvBbFe+5KCDDBfJ1kpdFJPlcuZWznCssPiOXRrAva7FGZSqs0GFwfr7ky9YZDoFZj2Z4iP7QgTs9n0Q3radQNtrfMmtLWwnvd3qff1kNM+/8Jq3Vz2vOrLsyGvWfWLkw/sP+pTFs+1QljpvPfPwfqE54tBVKvdM7M/eHRnaOj89AtYmDV9dXl6dn5f//m26Nbdw5/d8TAAkgqXp6DQJoShUDMULOUKMYfrLX/qxTbfuu1CpkQPMLKgGraLP/y3/7L8ux1x8qiXeAusndnpNCzpwQEjrGfonrceWq8zxMicg8Y5XIklpIcHCwcHDxvPYRgpKOIJ0r5Ult9cWbmjjiiHDjpus6jer4KD8PQx84slxKtcbUt8TOx1grMNkfOQEjjSM26n7MOVFMydkKWTsFLMoTi7cxewYJ8VIyhCvzVWer1iiudxF8Mw9D3PZVG82ZW2SgAui5wDAZjzYFSLy2jqiGErusA8q57npYOUEpSRlvdLeeNcP1kCo7DzLquSykTSlXNN2Pmvu+97qhbgZVuQ8ymrRnNBBURGNQUgN/BEBggmHHfA/D64D4mIQTm4NnuXkEUBDJzbPadZINQzUgbVOau64ggkgBlskDomBfR2Ojq9OR//3/+b//nh5/eun2vcrvc+ETF/jIN3vBY7LcCRy/y0sXVatMtOmPu+u4A+vV33786OVkPY4jxsO8XBweLg4Ou70P0SkVmqrCf1HjvHeTGCvzVidF2u4ytWOAbhEqDe5Ssdk+M1VIXm8rax4QYwuHRbRnGVycnf3v0/UHX//PDT8XVC+9fAXDtDM5MTdbgdG7XNPf4VUm9iLwuZI0BYCAAJCOQhtXFq7/92+nLZ+Pqik0js2pSr9kB9Z5vbgZU1SojSl7I2I2XlgrBhcc/dX31haoQOuD2TcNkqUYPkduG1/pLPRLpbfkASBJMv83UDxTgYWbvF+jmKDN7LGaKhppD+P4RrBp5NWS9QL9GCZ5O0NQAY+YYQ1VNqYQArfR84CYBA00+X0oJpJEAyjn+zOylQn1XIrkPWB1kFDpoHflKn8kXVZyurQmruXVD/mEx5tSr8brR5oa5mrcnHEVyBTPLLY1aXzQDZKpS8kFRCrTWsbPcIsndBlrsloJVTGoEIuMSICtD58Ac2BQYh40KEYN0HK7OLr/7pv/Hf+ru3IeOoI6po4D2Yl2Yr3WQ7oFAVfW+wMRMFkY1gilsOYzfP3k6Sur7RX9weHB06B1tiAkGr59LxbWZrb06e6bg4PSWmi1+LIgRzWLsb2cu3sjHJVuszF3Ze0vnbsrJCid4KxcAMMXhwYGJsCEuAu7eO3n16rvHT+8e3fn9w4cHIGJWQjINxK5+Qg2qxPxmq/tXLpb/0DRo7ACmA2xcXZ1+/6d/O3v53IZVJAqBNbGCFKQGvs5rUpaqmlziC3Fd5d/GTbJXmvDIfsH1zgYrjDx/W34wObat8Wei4EcGSJSMRWcaZufHVNd0KzH/HaRZuCbDkbIj1Dwbz9vnMnMIMXCupqaqbuRUmCcikVphQFXEiSENBFJ7UK8kCCCliTVaz+Rtzrxu3Q6+T4BqCu/94fb9bfysKIX8URPnkbmsZmrIlZ2GYS3GHAkyrC7Onn7958WDe/dv34EJTEHWdk2q+scbzmoPBCYV8mwb1dDFIYmIXq1WT1+8vFytbt+9e+vW7X6x6A88+KeiyVkJgWupqR+GtBvAupG3kbefJ3VLM4PZQb8Yh8FEmejo1p3Tk/PT88tHz57/4YvPDx98EpgVObARuRT3Ug3Xa4u/CaEags8smMzJS8Com8vlq+fPH3+zvjjpIRwAYwFH4uuc3lXKMurLXP7kbc9pH7DVl+0naDCjvgql42s+jXleYHU/Zs8e3DuXz7AFSDQQiBLMAdURM1SELz90h53uFHurZlaVuv62w1JduNtAqNBiy5bqnU1kJ/e+mErwEG1ZgVbPJh/RuP6cqOJKBnKUiCmXBCRqzsrbUPlL5hqdmRibjbLiY7Tvkd06n+tnU8FCb/yECoE+VQkwEYJ50GKzXD1/8v1n//jHew8/pcMIVTQD1d7ZN0Dgngc+wYxIVDcpCRBiWG02j5+/+Pa772/duXv/wSd37907vHUrxgiDisiYdEwQJf2hB+WnSZs46e9v5Eao2H/5H0BmpBaYQ/GgLfqDO/fuUYjPj4//y7/929WwGQ0KJLN1GsRycT5rPRi/PcleFzKQxyucFUNqkBHQzdnLiyffri9OKW2YDERJoQhG0WhPWGVau/dzDrH74V4pPspSRqNJ+p5jxJt+fJ3U0p1TuZNsvTjX1LMdZjvbvYr9UvIFr1nQbQrUN5Zufd1ewdYFObq0KN6GtepJNndkdlMaY3W/uE+6JpnUA5VL3trbfBD2kXgn5/YO+bZebwHs2VhNrry8tRG5CmJGExUH5TYFWB9CJAoENtNhs7o4Xz59PLw6hglM2hFur6vuZ1f2WIEhRoEicofoXudHz55+8933Rvzgk08XBwsj1iTmRRNUAohjDIFCjKYq8xJoMwqtZZCmGrOpeulbSzs132qm3shHKTkR3l+Xvz84Gcp0Ki6y0huYPNJlDC+VRDSsNyLZZZREbt+6Q+DV1cWjp0+/ef7kn7/43Z2DQw4BbB7jIgKYzLXp396MMkCm8SWDiRIT2EACVmyunn/3t+/++qdgKYQQGSoySjLuEkfRpCoeCzRfmnbic+pt0go/aXdx3ObIZyO8rlkeeJp6yVrln2m2fuoOKQcJiYBaORSlTDZzdhKS+xWLlWNmnvevKs4I7WJ0vA1zK9DLWeWT42JGFDpMtR29q5GJVo5MKCQUIgohr67mBWhKfVFraqVSycHwLbMiEJmZLafYxRoL9Ligr+ne2b1kIk79FnzQOM4KlFcr0EXEExi28SmXFSUjYzPzt8wsNuGlmjKClptUma4lHy7bW1a+LcFgSGn8a9u15CZxhGQUJC6ZBGbGZKIiYotuwUogJE1sqWN78fRR/+CTf/zdH7AItcq2U66mPRe3/K7sZYRyUiEgMCXVR0+ePD8+NqL7Dz7pDxao/mhVInhHLPa2iuP4wcIoRNWtn9/+AHPyRn6j4qBotRO8gZkCh9Vq5fW1AwVJQsSHh7cis26u/vrN1wuyf/j8d3cPbhNFAwmMCZwbnWzjn3/0q59eJeIF75PA7u5SV5+vnj999rc/v3j87VG0QGpqSWQQiiGKsRqp9+bMq5tCJ1yxGnUrfWXr4usLq+7CXwODeCMdRkQ4cIt/Wog2vlLKW0BgWaYZ2anHzM4H/qlC5An021JtzTdIHaiqx09Wy7RzzrxlbW21vJ5XRmjllZgZCJVAlO/8PBbYdXBHKHP2IbdGxQ+cdNltXXKtMbyqK8U3an+hpd+9qomqNl3js4FolESV4GXbRMQAr7vuACai4yj9YqHjKCpiZCKs8urF83j09Wf/8C+Hf7hPyLHAxqhFPcm9so8OAyWQmo3jcLXefPfo0XrY3Ll39869e07b0xwZICJ4Qj9g5uQiZgq/7WjKjXyk4hwy+ApvgCoF53TRqM7U77vAie3V6cmT44ODRd/HLqf9ACAEZN1z785/9RDYCiEErykikAGby5ePvnn9/PGwvDg86rkLZt79gRE6AVvu0VzWM0P1tsG5Nc6A97TKUtbO11P9MRTxdj0tq+ibkGTL55bNhx1fXLvEIxtbFGOUcaxrN3boMG4FUqYBWS3EbJVUSeRgrDTD+EpsqZ5GM6saQ00NbHUIa5QGeGYCoQ7Flrsr34T5D9txa82DfBHltVtsRO5nnLoE1/GpSRG1THat0A2g6BDUTomt0a4zZPqwwHNztfXMy0SaUq8814UK181QqDKOODCFGhF3gU3SZr05O35x/Oj733/2j+FwQSGgJBZP8/16v84eCBQIcZAk58urFy+Oz87Pb9+5c//e/YPFYlTxq3EblUvLcahBzSs3ku3JdN6Vd9C/tgb6NxuzuZEdeWMPy3YDAwGqYha9m66awNOTmYgpdl2/GAY6Pj09PDxYLA4+v/cpEZeZ/JueUswgLouBMRNMkZKtl3L+6vmjb9ZXFwdd0HET+iPvlhqZKXQKGLy7dbEzzJinZZHmKazb4TtQs4BmJGBma9q1MzNKCTErKQQhBCJTs9bMQpvh0MTEstfLgFIgjUpu3AxCSiDG34qqHzf7VDMEGpu7Ilus32aEoqxAIloLuVRDlYhUSzZIg3/VnLXGqK3EFt+zgcDZwM2gwD6Ba1NAmOUSaI5wNS/QzJKkgC1H6Iy3KeI59RNHpp4AMxsZlfRH3u0UYUQFC+fI6tYqtABexdGu6ww5ssccVI1U1K3P1gpkMhYFdV1kd92aBWYimI5EIQIhaBe7LgobIXYUjEwXXUjD5vnj7z/7l7NFOAgLplzrp1qr4MYpuiX7GKFgBo2qpxcX/7//9m8PH3525879LnaBkNQconMvdjg/F4Eodh2YZEfpmzxUgBea4YmY/e7ixIcpjx5ZfW/XSgPUC+Fu1Z98u67oP0oM2z3Tt95epwm/jbrwtucwN2DalIPrEOS9WTZbh67hvf3Zfu9c0vYtTsTgQY1bt27BMAxjShJj1/edGYZh0JRu3b1/ub549PJV6A+P7ty9w4ueuJ727Lya9+9Sf/DDyZtYdoA/pdGrhPhKTCBYwrjSy9PLly9OXjzvyG7du3v++mUIAcaBmUOnIUoafYELgXJ5TzNmeJgKGQIVgKlxbvgTzLTQjIgoNzOiglUhBCPSoBWulDmyp8OTmfnSWVPjK1OmomOpyk1WKnACMLaKslS8iFYcd2aZaQjYxKg0I4KiNPw1Na8a4GoCN0Zkhs/MsN8y4PJtqHYYuaOYK+RvQXhFxBYCAXiBNApMTFN9mY48qVwzjUU9q6+AMaWUw4TF83xtLJCINpuxbFzPlmqOIAdulRgmsubkoaBcuWnmGMgKSQZR4jgVQO8WvZuXZhZjp4akYvsgMIoYqItR+z51A7KzFCIjZecvh9iB2CiErh/FluvN3cM7ifvL05dXr55zF4mV+0OATWEcyG/2ZAVaDjgW2dc1Hqyg569effvd43v3Hzx8+GkIkcz6ENNmqHgDApUdKWDmTN49Xo9aaiObuyj1YubLoDOZkPML/dnJm+R+nND8uWuz5V9ZpwiUm39uO0/q1KSpyAsAbaZvncbtT9B6GDDtp90yzwYUrlTZ07Sf8gzlt+VpsmL079uh/7Dsdb7DdstKsTKYlv2on1G9oj07tNmurzt0/Xq+8JcVwcyyKlIuZTIGfH9GcLUkb1BuvjUJW3X3b0CXHUXhTbwZYgqMMY0AjI07NuiYBgPAxotOO06aXi4Hefr89r1P/uHBZ3diRNZSKx1++3i/OPo1mmT9YLp/b4RAUoRRlAMCgUyhI0CQNcbV6vzV//v/8X/fnJ8FVTUcHN4eky/BLKqjDn0XQuhYTSVFZsscFmbmcRxd9zdR5iiSvFQdEY3jyByIWFW8F+6WWKFgFOPGFDqOY+XTpZRUk6hwYC9cUtfrrutUlIioJJsXu0payqKqKrxaCkKIzCReqyUwmMTEGORV/AlsBHOnrnOjDKSO/eM4xhhd6e/6xTBsYBpDiCGKiBs/qtJ1QTUBGgI7xAJzn3AxEN08rTBTr6ug41R3pv0tSt8lM6Xc8sKRiZhthls8GaD+ARpnYNdFM/cGc90Y1Q3LYOQMk/kimiefFe93VTW09oYEjHOtNVExgpmO40jEqjpKGpK4zzyltFgsxiSOmpvNQEyjl9+LnUqqFrCKiEqM0YgkKVMcZGSOWA2Xq2XsFzIOg1gKr//b//Z/+1/+L//Xg1s9RkU4JPQKSopk6GLGPQZgCnojBCpok2S1GcYkR7duLxYHefjc28ng1tFcXups6Zg9jTZ7bjMmU7WcCCAw3Frc47OdPJ9lPzTX1X+AulzWV5uryu/NAGr3uWNuzo5C8633R53e8ejtOcB2vqWStvPD9sLbHtTmOGRbl0/bJ7a1Jen7tIBn4k6tcio+MRWCPN9CYt4Yg+Iq4Zsnz+4e3e1DCEQBSKIdFabVT/RUfDBp8a/GIbYCEuRPKJEaqTEBOkDH1fnrF99+fXr8LMiG3IljNCYNxMomqqJiTjk0NRXV4OiVV33nWxKpaJi1gIdILtqjqkYlAFaoK0Rk5V1ZgjMMtMuxU2lA2SXYLsdaOH6tQ5S2hCly8EqkMQbvMmhmIXCMXk9SqXZ2BcHcu5XRSEuRF1WJMbjq2HVRJAGIIXQxAkZMTOzc0gJUBiAE9ho0Fd7QAFv7Ye3ry003ibZWNTfkDmY2g6Na04wib6CqxNT3XVULzIwpVBQ0MxRyDdFs6DK20dyPTfPMBcthTwVVS9RsMrRqrqFaoZgCRCxqY0o+IKo6jmOI0TWbEMKQRmZOkgjgqes9kDUhdZJPEm0YTpLGses6VdOUdBjOn393+s2/Hx4uDj79B1hPDDMoQDzVwt2VvbFAXK7XY9LF4uDg4JBDIIBBklL2Ku7bmV3PGNheSWj2FT7UOvMeMe9GAPxK8GFbDEiGZFj0C4T4+Nmzf/jsd7e67qDvASTV+D6Igh9cWj/P7oe+dGZXhBdyggqG1fmLZ9//5U82DAYBiXcpNiIyNYWpmZopg8x0YnZsSz1260uYP29WVbB9sr11+6vrt28PvnMumZSxZz13pOTJFTWt88VFU62zPHzlh1vnaaVZ+9YhtHScsBI1RAmR1jGsG0w+0mrV+bm0h96XjlkBkoiYJzZpDQ9tbd+85Zpr30q2Hc1SSiEEKQWvpWgubqtT2UzEK18bAGZ4W2MRJRJrIBAAsYk6OrIzPLWxiYlITYuSvvXwuclDPtIllYMKTSZvzQCb6LB89ud/P7z/ye/uf4ZwQGRkYIK9seLTHggczC6uLodxODg4ODw89Dp4UKtX+15kNh2z84G2N5i/nVt+O3P6t5fLdSM/i5iUUBMMZ2enz58/++Tw8G7f+yM1PVhbPwOu+eYDyfWe33k8oUU+mrbwwAuRMZmXPBsvzk4ef//ou2+DDDkkV0qjsFeaIvN/NeY+ocUWrpSVtdorZWlmLyjKTAqmlplSF2OHLrMKRzNgm7zoM9jbMhb9Vyri+XNSWjSYaq0gCsAXMbPsyfI+3pML0a3Agk9q5nGvvAfzCtrJS3eaqql5GkYMgYq70r8lohijF960mZPT/EP3hapOtrEvYX7FWmI55ZLVR67yaACTXD4021VTfFFENFlJ2gNQrcAyqtOE0ZKhWAdWJGmyEIJ30yVmURnHEeBsYi4Wjgj5cE2OIybMzpoEMFvYdybONTNpWs8zXDNz0wprfqyMDmYqjx99d+d3f/js9/8cPr0DTYEJYNl5MFrZB4FjurpaSpLDw0PvkMnMgI6D1F6U7ya7v6Ud2APQeHWo3WC7OsyN3Mg7iMHMuoMFgLQZD49uPX3+/B8/+yw8uC9EfSjdWTB3V5S63nT9s/RLSyUZ1YeIAXc3ExECMIwbdoqACSQ9e/T99998s14tD4JyiKEG1j3TF2AYkwVixoRdfqytdW3v2jahoPMIPWVvzghtVskMEk5gqW5DzO2Y7QWzOM3oOggkrTmCNCUdmluBIoKmjYNz2q34Y9UMqrgOAjnAICKeLOF7cHjzI/rr2inCTSsHvFq8u0Jm9R96mWwOgXjGu2ljnGhWf2CiPmgO01KMoTqlARBC3d53oKW/465V03V98Fo6HJm5QmDfL0Q01TQPzE7Dcn4FgFkKR4NrqLMCDa2X2go4brhPsUzbVbya+T75bwmIxKGLw0ZePXvy9Ltv/+HB72wEdcyRYbkofPnxLF9iDwSu1+thGKz071BRLjeASxe3t3okrxG/mq23JfZSr2tbcdj783asb+RG3krInzHSMZHp0e1by9Pzy816lcaFoe+63e0/Gtl97qj5goiyD88/ad8CRqZBEpGB2XRcvXj6+Ou/vHz5PEYySWpkRjA1UWMiFWMzU6iailcMzsE5VVMVwBd0PyqadPX6V0TMqNBh9scCtclL2wt12IG9mTC7OZWNKiICVU09dtHrvBBRjDGG6NZfCBy7CCAwwRoiiSmalV1UQVQaGHUOgd7siZkDc/AGd0Qx1DIuOVyHUrxUS1JELc8mpchLC/P5djpCeJeCwKFpRl95hqrqPCNm9vIxAFnpaisixN4UUAsibkOgqhXyysxK821GSTKIW4EtBAKUkqgZe8Mj21p+p5rjjoWtyxfEb3Ci19cquctEEwvMVFUh4mvzGrIE4kXExemrZ9/89dMv/9h/8iWRkIVAXJpnVIhTKQAAWNJJREFU7JE9ELhardysnnwURWq890Zu5FcsBFUx1QDEGAeii6urs8vLh0e3cB1/58Of5H7ZCvVtP9ZtrhCmvwAMJsxGOmIUk+H5t18fP308rJcHfWfD6FxpN4NQ0rhypcZriU3TYa9b1yaQtr1b5XDa3p02S3N+u4WLAJgIITfSy8t9UyY7cOCQIdmBRHNKRq5JZhrmEEgtBIJIt9LS34TG12F0tnrrTriR3V3WWCDNTCXv8lQ8tE0DvzraVfNQ0Zp9XyBwK5xZ7aeZgbE1vI6+3te9HXr/bwg5NFdNzx+lLe61o5zHvjVDUOffG00vM9OUIvF6efXyyaPn3/z1q7sPWA8IBI4Qo8B7YXAPBF5eXppZbWWZ3dNN/PYnWoEu7dADeLdY4OzbG7mRtxAjGFFKQqZMJKr9weLi8uL07OzzO3etElaReVyG6d9HOMls/tp2vnKgIYfASFiPurpYLi8fffPXq/PTyLbo2CwGjxEC7pPx4hfuCOVcATFnr/s+23WcKVshu96t/JyWWCDPUuO1XfqrK69S+bHjCN1drKkJHO6VyrlQVSUtaQaYgmqNX3HbChSx4mgtbrqptgsBTG4SECF7YitthEr6YMXjikC0Uxp7S3ylrr5KFISzMnrOJpFS/hQg96xSKUnjmfFNLFDbWGADV9SeWD5zJq+7ZgqHQGIuSgbYjGOAR/qmSjHusfQr3a4zTkTEZNtYv1dyaaEGAkslPCJQKeFbBgUNLpppGjcUoopcnL769i///cEf/ilQ4MVti977uGuS+ifZD4F93zsEqmrHgSj39q1qxTtLGZTZ291vqdG5pm8zLBLdAN6NvKsYIKZiFomYSEwWfb9cLpeXl30I1gDJ7iz7CFDQaSPbNQi3LLWtR5QylCtsxLhavTp+9PWfnz/6Rsd1H4g0BUakUg6aDAxmM4AJ0ZhBwRuZ1p5EmLqKvxkCmcn3yW+sDlPgD2jar+dVsGDclvJtJTWitsy1Egus0TgACnHmvapq1DSOZhYC+4KWxmEWC9znCAVQIdBKJE9EEIJDoJ+7X1Rx/+Zk8/acWz/h1lX4ZtQAvDkVdyK5TCadO6RTygcqXeMzBBbIn9o3AWDiFgKHYay4z6WRQvVyK5RGDiEMm9EhMIlsNpuUJCUJIRz2HQCpPKVyztwQXKkE/LIF3NxuLl/tAcCaXN9AYJ0qVpoG7xNvfaJqRojD+urJd3/98k//Nf5LOvr8K+q8hrdlxun8Gd4fCzw4OIil/xY3xdbeixfUYWz+EaiSXHfWmKpNlLd7d3gjN/J2YlDVGCOrmloXO10PY0rJ+0rMYc52Xvxyotflv9dnssU/v4b20YVsgAQdL09e/h//+/9rdfa6I1OTddpEUmMyNsBEUtXeVVQUYWSKoa1kYmo6rbYEIi1VqoEmKEXkWryR/f/be68mSZIkPfBTVXMPlrR4s6HYxQJYHPYe8Hp//l5PDnK4E8Gywcz27DStLpokwt1U9R7UzNwjIqvZ9E73YNKkJCvCw4m5ubl9Sj5VVY2wwvlJSsPkoJrkbCoWNnMHsZm9Y/nDpM95rbM6rYtmJIfrLGZLyuHXfZJBSil8jbjLF5gk9V1HROTONBWCaGof15DzdsICSMwBXVwZNLzfKOLc4awNM6ixMSIQkBmq2nyBIjXJjkV6gbxvCJ3UUFRb6AGHqYExKhrVzhAXQy4TWYRMuLsa8kzlZRbmyHieg1bVpAEA5CUowsyZJ95sk1S01JFQeHG3WSnrWFPPmbUM7O+YCBARhZNmz3qb9e//v/+2uThbP3gAXUK6+jbwAfrcAYG73S6lxCJ5GFNKjZ47H6k/pnmEJe2HB3ohXsP9EOS8SizFUvyOh4d9kWoaLDgKDdD39tmXKye7c916tP/xIe2c030c/LpvmNo77Tzty9EJY7XzdtTBCWd7fh38T5c7uPQ77vrw0m23g05OK/GfpfBRbEDMrnnY7TpHIX+7/1GM5x+v1VkBMw9fUgACCbs7TMUzYPr6xYvf/+53//QPb776km1cLJMwXDEMO1kk0CHfINRHKjBTUj8HBOos0ZftTfPoSUGgBoFte4M9AFYjFto7Xq47107cyeDeln6eQtbcfVYOF4G+FSo4EnQJqvFzT92gxluZWSmZGJhpY1WbqQvJQbrquuyOOWLgohtNMqAqJbRbmw3LhNyTWuw+jqOZEUrV+KYiU1MNJ1YJWgZUZgqpzma16traGO9ru6lqFg4wnpkZmwQzkw9UlZyJqFGfaArMmFbmOvdsGivbe+JwVwNa6OFMUHD3lh7BrPjd5hDYVp4QbqhySt09wk7ahBnHgZiFOJENefv6+aef/O6fV5uTiw+ITi+KcMsA9ub5XdlhZgWIy+z8IZx//9ZtbxH/c+jwffuxGjGbKROBaBzHPvXCTBz5av7MENDf9bUWEDbNsAzK0PH2y88/+80/ffr73yV46kQIDAfDhUra5Jkrp2gDYXcJvYGnJbUuvhyLels3v67tO++9LjLFCEl7ELivtQCoWUbrcsz117a9SsTlnOHQIikaRoBisGZa2T8RmQNbjYCcBrNhQ9jo5gu0Aply/BqbApPCUsrMXdc1TGqr9hwgveouFPbiKhC0cZogsG6tEFhuvNk/42u5U2l5oksjlCQyFW8kZwXQdV0Lz2DmcRxD7SMJ2GPVkjUUwDgWnRRFeqjpsKtaGcNT4RPApAdHh4mIWZr9tl0iKiNGT949d6b0z8wl6XbccowNMwdvmRiJsBDS8fazj//ncrnsFouTzQkoUj0k7r4pKKLrumEYOpawAKBOev6B5GP64wyh9+2+/VGNQESaMzP3JM4sxG7ZzOjIAkEzu+JPRaoib8bauWHUHWbohAC4OcFTJzCFZ0Adalevv/r0X7/6/NPh5mqz6nvhPN6Mw47JNqcbaHYUhgP2zCx7yDT/O72YdJjrbw5Jh90/2kjVKHRw5gpLJLPEzaiYx4VmQTzrXmiBqMZYFiYuwQmlumxNkFYgITyV74BA84nDUQd50sNUjZApfH616qFXRkz7oLMS4vPDu66r2E+SUnA9QokkLml5pgGfjTBFiGV1voqISErJYrlW1bhrqjqoqs4h0CwSnyqAvl/IrLRQEUe4PSRiNmKWEmWYiYiYw9YVqn1VSQsE+owOMz2RNqtm26cxLzUOY0/sV5acDZwf1XE5mkWL5WK33almYlkv+m32V19+9ntJi5OTX7//AfcnOqq7curnp7oDAler1W63W6TuZL1pHl1qevEPB4TTcHzL7DB/bhL6ffsJNgLYEbyJ1ItLUs0dICzN7V2m2hH75ac8/8xM1YQTTCMLDNygQzIFad5df/EP/+MPv/nHLz/7/c3V25PVSjofVXMehZFE1CKdIxlIwmBUKo94hB7MBPxjCGSmQzrMbIFjiwSlvveOzzEPQKRdRlV62qly8RgBMwqMmXFlc8h+OmnyibVHRE0LRF3B4toUK9uB2ZAmk2O74XYjqJ48rmVsWz99P8y/OvDKZ1RrrVcfJ1rqy1lBea+cTJAF0qgVey/XMPxqbITXysDhKdRZc3gLVwgI5FnaHa2FiKMPTQuMr8wcRSq4clJagagYKPfSK51VI2jPs1bhKBOjDQKIa4jqniWg7EjEUtmkfFB9kCYl+F0sytjGkRE266AES+wLwc3bN1/+4ePV+uTZex+tP/o18wLEB9LsHRC42Wyur6/HmiYubjM6Mbdrf792jHN3fZ0JPPf63337YZvDVIU50m8w0W63O92crJZLruA32VyO9MKfVKOqntJsQTHXGr1gIIO47XbXX3z6z3///7787A/D7TVyHna35EKwLiUiu91tGRTkTXc3TKUDJv9CcRAjPCMHtVjo61n+wcm4yxA6icLvuMfQOAKqeO6ZAxFRONaaaZFoMoSG3sCgYwiM4vYHEMjMONACZz481M+NkEJEEmmmHW4Wulj0rXki28lLePvMFUqTTkbNl0lEOWcQwAzfSzx2MCaNTpRzdkfL6tkgsO5mqmqFY9EgkMMQikoljauHIVRcwoWsqjkrWXFvjmNJsmNwvBsC5ypc+5Xqi9RIVTSvoFv3bCM8m3ezWTQDxvaCTlPMaVRlERFWVdvtlovVpk+7cfflJ7//+//+f/+HxWbz9EP0qwPR9g4IPDk5ubm5afPmYOjvMem+/Xk3h6n2XSfgcGIN2+3q4aOzk5MGgQdtXy77abW2HDCBhGMdIjiRwTLIALu5evXJb/7pk49/57dvyTQJTEfNlpKIsFneDWOXUicl5i+qv1OrLuKwiBagwmWIj43+gNlSONcYjr9+nxukltJ631NYdcpavKldcgbO5kZTzaAZ/MBnFfWmru4/ZDNrUnhdyksHmJnmGd2q5mf79St4xg7lGUEUs9wxqO5AVPgMjRjEZMXwG1og18wkqqZqxSfK4ab8jkN6kIh1trCHeDPzIwJUEr9RsS3H0B1AYByLwOYShTM9mrJvQ+6J6GmOfdrODOlwAIFfc0/uyGp9JyyiedQ8rFer9SLZdrx+8/Jf/uc/nz96/4P16ebxiWsmnpJA3Q2BL1++bL7ZKAHxA+bnjLs5+FpdG5iMo/Md7nH3vv1Qzd3MlmnB7rob2N2ynm4256dnd0+yJuP+tBuHLGw2WUHzAIGNu1dffv4//+kfrt68XCInJknsXkmSDAK7w9yjIE1wzy2oNG2Zg7vbZI10j3z/KHzFol3F37pMhxGPzCzo6DNVdW80Z2oEDrYXjUpK3da5VlQSXc8WYDryBRJNesneqY9MagcLTru675EwnWqkPIBS33S2Z0nl1diqM7Egzmw19g61jnm7xBTH526qqWdmiVsUESLGrLAoEYsURug8QDN0Sq4EFqvM27kvEACzVPJwAWauoZzzIk1N9vM5i4eL85VR1MF62uo9mN25VzWXCF5qFNeNFf/KvrQ34PU3YBbicjA9jieSOYDIQgeCMzSxC5mNu+vXr3/7m39cPXl/ffnETalbtaPuhsDVarW9ubm9vV2tVmGrvfOSf0w7PNu38QX+NOXw+/Zn2BILsuasZrZarC5OzzarFSJoaGYFBco6EFVX8FOAwrtYq235UR2FnNlhGTaCeHj98sW/fvzJv34sZmbZGF2XUkQ3q1pWwFPXEdWiklQydM1OH9qhV0OpH5iSmmVvHhdohVhOZiYitF9KEzNEfNeNNrxkbiUCJgTluuDO+Szx2+SSZCoVftrCGumuzI61wLjH8qFub67NuM2WJrvodhHykbVpUWGZRFHdOBx+bZRa7pjWn9g5wvsCRMdxNMu9W+o68yJSBAQ2+CQi5tQAAzPyp0WuaivINMPXyYY8V/9s5jetMH8goGD/yZXxP1LK9iCzQaC3oKwoYIyDtKh7YBkGhgMIbF9RSx4evwBlSkhS80hqI+ymw7gddchJFutl98Vnn3745Rf42a3JYk4JvYsOw3yyXu9ut9fX1+v1GhGQ90O0Nn3f5ddsv1Jlmt3rf/fth21E1KWkmqFq5qr52dOnp5sNB70yXg6vf/eEtJ96I0IqIrfCDMK4ufr849998vvf5d3tMjGNJfknlzAszToyc9f3jaxCHPEPQgA5uVvQPeDO3DK17Bn6HM44pMO0j95qbNzlC0QjTRzRYYoaBzRNrm0vJ2yOyX1DqNUC6zO1aU/9nD7SRHihGSO0KIJAEC4LigM2i4aMzjFzgOkhQs98XTQrGd9aMEK5JtQOx2GNLBQwq+ZGhzmCwKjiOlUSnsFGKXBBNAcPImrVjFtWg/KhQWDT2MLm10wFB5rigVa2L0ZM5Q/n2rlXgYe5pHJlaeyz4tdlZiOeu/xonw5DTGEZ3p/zdZIwkXNWJfIupY5hOpqNTNQJM/lue/vxx/9y8vC9j379N/Mz3AGBibDqe4bf7G4JHq5joJClQHRnNDYVj3eTpN7pQAnO9fxAmoIi/BjyZlP3T9QObrDU0fyhBIFv0+rgHZah/7cfhokGeNdFffpKPtOX/sTt+Lqtj8d9Ohg0InQsOmbKyu6m+vjRw5P1mkqI90xA/EmB3nQbh0oYUHIXuFl4A6EKG8Ger9989cnHL7/4pIMl5tR1Qd2Mm2WiLnWSOAmbW6m0VPWtGqzHZfkBWMgNRAoHUwlId3cnY1AkoS6xBxMiEiAHr87dgm9TL/Ybiuuu6hOVlhmaxZ0HzCCNSZKJAZ5EkkhMj6gg716Mu8cQWDpWuSpulkSMyKgUYSi3YN51nVOxQM5/aoODZqGtCFQe2QxG2g5cghMAYSKwFYAMCAwwrpBQhjrckSlpYKqZsXBZjqcx2TOERkIZMxOZ+DvRfxFxAiq/F6AIimDmuCwzB0kUs6CIuIlwyJVeCXul5ASqOshjMOOKUroExB2xk/F+grR6zvrED6bNwURydzeHMhETg80NKXUQHolvb67M+y//8PEnl49+9otfzM9zBwQycLJcnqxWw83Nzc3VoutFEkDqZuTNLxix+pMVouq0NJmGZyJY0ZMJjmLQpPbyzv6ncoZ5f9o0uvP1+JpWhZWDJf0dOx99iM/HB/rX/vo92vEJjzvjR58P9vwjr/6OS7eH5Hu7fcsx/TdrMySeMG+aDVX0Jmq9DUEz1hoS4e321sa8EN5sTh5dXq4Wi3hNzZz3X6y7rv+jYONMLCIv9z+3RgLuEGZ3JXfA4Prm+WevP/9kfPtyAWXXqqCRmTti4QMLERxuMVbBkiUYAQRjwE3BRUb1UlMJETSPgprUAh6q3oMmzmPyCQHValq0k30kaD/xFFLtpZ447ibieeVuUKWo+H4LZRIA+UzxrIs311CH6Kq5wZ3D1VYTL8UNFEtiZZ7M1zwLQCCOCHdUVUxma9Sxmnhw7/GhOhpdAKqDUDJ8EoLW6Y2n5GVRbatr0S68YFi9xB52VDV94tDuq3GoI18G6SAoAu3253lbirpW7dJAmy4+M5tXE3QdcLS1zKnejs9ss60zmE2t+dC1LUWpcoWrwxVVnBUABLVxdyPiw5vnbz793ds//Obs4oN2L3dAoAAXm7U9fGDj8OL588sHD05OT4lptxsN7pEQjxNAqkb1STNITcu9Os3fzhJAU2aMhbmJKsTvvdn7C87BwB/Trvf2PHqQBxA4T/oVe++NaTuwXrYkFcOsfgf2aGM+1wx979ipA/MuFbt660DDlcMTHnQSRTlrHUNLETE3R7RfDz7fcempk3Aq+pzXLXV7fZjxtdxgLLXlZNOgxaY2ZfeGEfM7qs8C3xtIAv+MJrNlbKWqmQaJnkJsjIQmcUFmFkrECdiNI4ZhfXLyq48+fHB21qXEQGLSrLJXVKU+olluih9NPXSgCJCtfO/0jIiIIoV/HkFMkny4/ez3v92++qLXLXScUqSUeLfyxEwBjwyNhpDVicjgDldzwzgYJ2ERdZTabQBJcC48QIBq+rRYwYlgpsxkRqpqMNUcUn/OOdJsmpq7R6JLAO6mFQaip0HKV8thlmtxBXOshbtVsqKIgIEWXVeLu2nOBCiDoiAtYGpRv7DrUpj7QnMdx52ZpZT6vkcxFZKL5GGEleuOw7i73RaFyd3MxnEE0HUdCavqMA41WdpUvLdVE4z7QrPgzZYLVR2GIefMDHNjrSEcUmq+78UFGrrONGcjJaJxNyQWVR1zBhMnitw04zgOw5ikaySdllY7nG3xIfo2jqOqgiubRjVnhRJxVtWcjYgkJRZu+Go1tBGAmYd3WYv52jWr5uwAMTMJEek4jjlH1L8RmZqFc5RdrThKYzyLUGJQ1fISzoij7h5J6eIZCRXrB1zV1AjsDHBWzZbVqCMR3SUhvPzk4//r//zb//R/tLfqbi0QwMl6/fDycjfs3r55o2YnZ2fL1ep6exvCTkhrHsWX47WKJOMU4iFPr+ieTQ0tQhKoAViTTX7vQ2vfRuH7wduBBdKavEJ7N/Rv2AHA6jDt4+gPdn0nwA9rDqDd5tGFjm2kP8HmBOHUd93NbmtqzJz6jpLE6+VZmZSyctblYvn4wYMPnjzbiCRA3cm8T8IHj3gmHlTbhv9oKHjU2jsWWiAIkhK5Ydj51fX1y5fj9RXnkcnVCeD6zwlRFMKJvPrmvAAMRUhcKM5FB3OjqhEAiEq6QNHTjOET2WRP0nJ3KzLkHmWD4vskzrozlYW1OQKZmTiFghOFcJtBj6rLbdH3DQKFBe7xNZCM4YnF3YNyUmq4C9e66mURDwg0i6xdEiZN5EyOFoNP1cIZp2ppM60GNkTfCuZJSpKKZNxy06AYyZg58lvGWLVjwzzLHDdbHrFUCMQEnHArjNAYp5RMShGPiDCfSElhn26gxcxd14mkMIS2yAoA4fKcZ4cRSS07zDBEgADUSgL0RtqYfWWOiFviKA9SHL2hIsfgWFHcy9SprNAgJR8I6DXEgsouMWFi+pUSHcV/yRwWVC6JIbiIqgRimJsLMo+3+e3L6y++KUFavOWLlC5OT3fD8IdPPrm+upKUuvMk3HTt8GF6qOHuNaPPt14bYsAwQziivbXnAPeIvv2579v/yo1Q1+09F6CDCnJn+KhGqRM4MTmTuam7E8w9Zx1ublYpPbq4eO/howfrdc/s5jBzB8uP5+H8lq06zuKb123U9HUQgVx1fPv2+u3VbhzDVORhLSr/yIsFhhxTbtD46CTOAocHp4Gdah7L1oXm6bNY3xAI1OrgTEjGbERglnaCsizOYsxnK8Bdrj0mEW614Kv+V/ZvmFr65mg5yZgZpsMwtN1KJLiymbp718m+pYbml3D3uWW1DHiF8srmmJrvG/EaP2W+w/w85RJ0aLwNi+LezX5HwXOuYraRbJfOOQcXWsQiMXfcyzAM4cYL9vM4jGYuKcV6X7yY71ZI4ioF7JnD0h7AjFqtqYBimxtUyESFcePF5DY9eipSNzNHXCpV5J2EJCIiLtYsgoOJqGSBmdmIl33vZpqHm6u3827frQWqOxOtF4tHl5dv3ry5ur7e3tx0XWJhkFTrOeJ1DOuowZycjiqZ3bf79oM3nhkmm1OwrRPqpmaLxYIYZjaaurskIcDGPI6jqF1cnL73+PHTBw+WRXh2JhI6wL+fLBi+Yw0KQZ4Ah2XbXt/cbndqziTAJKFWk3boao04IWAuIfGcwOLNh8oeNmRq6ykgLCJC7DDASQhN0YkQiPqB3M3j1+qWa0reXs1Vn7wAe3hTgTi62fTISAVNk3EsDph5AUJFmH31o89zHJpDWttzjtBTl2b0y/m15pjnOCyfa61IL4BZTah9qItVv5RimO1TDqlng9t8oKbOmDkKmsyGZXZTPo9Pr8OJ2Uh6xaEcwR4TBbTmTJV3LvIElCocB+oNcxTULaqzN7N2sRlwLcVMPsuINoNAEfEw1QS+MYm7o4pQzE4wRStf4c6Ahes6bBPErKqWh+32Zt7nuyEw6hUnkfOTk6ePHhPo5vbm7es3682GU6tZxWgRsu4B1F+faL8yP2fjdRc3bO/7n9wEet9+4o0c7GjLYrVRF1eyEwwwgjOBPJuOmpm5T8nd827QcXywOXn/0ZP3Hz1+sDkRgIDElCLsaKoW8QOanH+g9rWvQvRZTZ0JDs16c7vdDqMpMYm7uee2ChZvr1NUiWXnuHsn80grBgEF+FApXxeEyXglvcEYKqpNiTGPtED2sMsx0UEM35xkP6sXGH+tIIe6s8gUY1BWbSrFjBowzzWM2g0KqEY1NrYFV4Rtn5zptYgbVeWSHJEt81iRmob93SrRHF/vPIqqXbcN1EE4wfduc4Q+bvGwMIt6LGMV9lgmcAvrLE/WGncJ4MaXmaZT/TpN0uly89tnJhGB6XwOYAaBAWINAss1qRXOrfIb0KSWePhGUFeNeVSs8aQOdbgBcHXLqlAd8zcVSwLQMZtDDcJ478kTZv70889evX3r7ovVsus6JkgSEJlltWzmTMIpEb553TjAtQMhq02Od+1w3/7CGyEgkKhoMG7kRjBQ0GRIUsc0aB7HwUwl6saZa846jh3Lr372s589e+/BZjMvo8mN6OKzK+1f+cf0ARImhhLF2h0gPU/tXWtdmNmYb26H29thNygxkvBc/SnqUhhNmdwjKVpx5zk5w73Q04gjsbhZGAUtWDMBEoivZuCmT5gZ0aSymFlkBsEszJlm6cpQ6Q0Ne1AhsOy8zyDFvnFvfsLw0bQzeIDnfsay9hkTwbNF+83qnlfC58EVmy+wpQDFvrfPaoCEgKgG2x37DmmmJ6WUwOxtNGApBTSSFa5KcewFPLi57fkCKSpFhNJkcLO7Cw81TJqPQxNWipQwBbbtabeqVstQFNV6H1jjIVq5CyervCSKblGUCZTyKCNRjk466FyNbhDYfIEx3escIDev3sCY12aR2M+gBqr8CTVXMzejAqwMdt7XYu+AwLzNqWdmNvNhl1OXHpyfm5mpbfOoY+bCQeUDazhVItC3WSaIJn/GtOXrfYE/MaH8vv1ozWkygIYDgDzwz6IAjvk4DkxYLJcdyzgMr69eJUnnm82Hlw9//f4HZ8tl1KqRAL9aXe/rrlkv92Ph4FEcRLSSccPMzb1LwnAYgxkko/p2NOnQdZFtywlGNTCp8kJBCFdogUCikiXUHIAJPJsDVssFOhwe4eFcIBAi7h5cPsCZqaVQyXkEF4XNWnaxWNDVgp1RUPno5txL9s22GLQ1h6McXSmSrmV7isiWkqGNmUe3cRzdPQBjosN4AFJqCEo0MdLLoj+OUaIi7mseWoeZmM41M1lTRqmmamtqyvwW5kjfwNhnAGBuAcR01DCtnPauedL8ZO3S7VSxQ4xYAFYMDldGqJmFFtiQzcyCNRoc2tld7CknRIXOXmkqCAiseAYvdeQ956ymHCm8s7WkemaWVaNiyRwCVbVpgWMuWfdijGZc+qjsDDLnYgkN+g8F4y/yQTizA5m/CQIZCFa4EBRgwrLrLk5P8zi+vnqb1Uw1A27e9R1Q0hcBcNg3rQ51xKojke5AwdnI3ut/9+2o+YybahEdMSX3cjTxn6mX1Esis3E3JrPLzfqjx09//ezZ5Xrdh4cLXsh2FgFo4Dv8HDS78o/W9mmp0aVZaARiEaqSIpGk/vTsYnN6MV69AQYnIQpukDMVNhHV15CB8goH2bKEnBAFOSaWt7tuP4T0byuc1iX1wDhW3vd3MEJBLmmvKG4JjQg9lqgxRUMza+mzYwv5VJZ9rvRUKN2josy6WbtaQxF8Vuu8/VoHoYDokfNvYsfEh3YqAK3wHM18gVaSiOZwnM60oqnKElEAQ0m3FmOyVyxpj9Az3Vr73KzK+7ZralHtVNy2rFF7IUko8e6gWnipYnG7hahi6FOCmXprocVaCRmPEd4zon77Rkcl3KnMWABI5ERulRPrYCEHu4Ec2I2mCuFE3XJ+zrviAhO7GZyYqRMOXFst+kcPHvR9//LVq9vdLqsqZyKkrk8iVma2Ad/gDrxv9+2Pb15VooBAmyEEgNAJJaUO5MOgw9CbPb548MHjpx89ffre+Xnv6KrZsyQFLeGfBDMcMf0qzPyYdlDUHgDAZOmZYJGKYAk1JfPUL06fPH309L3x5m2+eRXhXUzG5MLF4hI3wxTW0FIgvma+iBAIMoYwizs7c8vSUhOkxYJGLS2WSLEOcXUsEdwlfIFcHYRFLwHMJzXoAAKn3TiC9ibULJhRsUQqqpUrVoZFRC7ACmQ2X2BogXMyajtzOBYnD5mIEEUoRdu/PIjaaJaKc27m9dkyj32Ei6MaeoUSeXwSLkWKKqYcQqB+DQTWKlJ3k4C4xEsUzRgVAsNaG1ogM3cdmJmFWcJ6GbRM1xAFSu3m8rxQXPHO1R6rbnVUo4BvwBWZGbcI1fqqxRyQCo5NC9zzBRJJJGUFggCOKj0gLBmuHDVNIhIC5F766UTZAU79en3y4NH8nboLAoWHYSRQ6lKXZBwNhMRysl4tF4txGMYx7/JQBASRmCl1oO9K4rvf7tTsDub34f73uuB9a43gVNIXGsHg2mhfAMOZKYkwQW93480Nqz26ePDvf/6rjx49PFstxcHmiUlCVHWEF4pZIj6Z5ib6o8n4k0HBiXeAYtUkIfIofGradf3i4dP3fv7L4frqxeeab17NKupUKTlyewIOT5G4iRDMGK4Vc52DfRflfGrMn7kUfGJVIriIdF0XfqCUDhihTsIpSeOtFK9VBIu9AwKLRsLcSLpzjcEjCksV7jZnVwKYBUUQBRbsgcG8MQtQCCkRM45ZUVwh7kT6vvdakMH3PIVT6ELrlc8ch3O9ueHiXPU5wOB2bKE2HfFoqAZE0lGuHNqn6hzDHmYwPB+Bdt22RbMGBEbgROhcxYF3l92u9jOCEGrgJpqIVbVAjqQH5F6iyVNKVLmsxa+pjBo3GacvHNRIL0cEKlZWjwJe07g5u7lmITfAiECkIC0uchAlSrLcnDx6/PT9Dz+a38I76DBdQhUqU+ImdLPwR8+enZ+efvny5RfPn795+ep2sVhv1sv1OiU2c1M3t0RcBa4S7lhN0R7RyjGQ5g63ZjpnZrN8/ODbzJAaSsL78+ZgYh1O8xrP/Q3ZYRx7h8/23NuIwwuhnh04Wh5pcqkjjt3rQDnR8QnbtdpR+32Y74nDY/fv69+u+dRxzDtWf/2jGlV/SXv609LjUDYDSUoM5DzmnM3BQl3XCYHhrDre3vpuuOiW7z199KsPP3p2ebbpOzbAsEw0Z75M842IRFAWr+M7+JEDfo77FB1lwAF1V7MkIqkjhWnmTn71X/5utVr803+z3/z9897UxxshX/T9YrEgKppU2Ph4sTB3zaNmcBJOiSRFWCWcnUjNx6zVceVjFIntOJbVyMusNWI5kCfe0Zxzom4YBrgTkUQhbndTQ9VIvMUozrLDIFx3cGQnwmq1ioj18OcFBptqLKBaS0IM211kn/GSybrEAlK1oAJAo5Xuj6hqLJ6HSVtan8Nt2SIUG4AFZMb22F9EctbwR7r7OI6LxaKa6HkcR5pxeeJAq6UkWn3Eds6C5rUlSX3PRBT9cfeUekRITEpOACz1XV1LKUkKnTL0PCCcl2j1cpvqOY4jJ2aIm6vmcDBLKXORcw5tCyKStShhkdSm75fuvt3eUkQZcqHDoGqBETtgxYPnOedhGIRTdLuOj4bfseu6cRyj7tNut0tdF1jiFLYHUtUxj2PORV4hOLTzDDJ1Z7C5q/k45NvRlLt+s8zKjx8++/l/+t8++uu/nj/0uyFwWhRKDuuJfNYlOd1sJKXNevPi9evrm+vr6+vb7Xa1Wq1WK2GGTeCkqmZRWwsiwq3aRQkdmepeVjnuXgu8b0AVgUtcbd1SBFiAmI0wDDsQUkrLbmlq47C1nQmz6bi9vjlZLB8/fPzs8uF7Dx4+OT9dd6mjkmWO57kij6QW4EdMAP6tGs20UarIyETNkAeXYHR2J6ePP/jItjfC9ulv/wdysnG3y2O229ViQXDXTO7LfkFwmJK7MCTyaULN1ZXcmaRj4uJ7nJWOoeqzR3tP73pVi1owe5fnItpcKGxvehPjIkdoLSi7J9nWD3ttblT0CjJzvHH38CSaWc5cSUDNP1eurqqu6sQAcs6RyI25Fg3e9+HtdSzuaBb+0e6RjtrxQBVdoZzKfVIJpsu1/JwzqC5mUi8hbcomB6PRbhOVvNlOXk5bLMxhPiyOXt57ImiPe28CzFkeRPPHXW68Og6LRdc9PNkHI3AwMjQrGALA1NTDIh2pP6fSIupOMOnk+u3VmI1Tn1YbEKXFctnz6HI7+N/87d/+4q/+5snPftGdP51f9G4IPG7znvZJRFbLxaJf9C9f9W+u3mx3u93trasuF6suLbwyr1CtzAj7DFFX42OL9LQ/46MCyH27b360gkwGHMDhFvqJe845MQlz1/c6DHpzTWbni+Wzy8uPnjx7dnl5sVqvErNBvOSX3p9kP2m0u7MdWWO9bCyxfQjnHojBaXn54Omv/6pbdUz57Vef37x9ub29dbfslDhJlximZomlgCiRSGKJdBu1KkGNYm+KuO/T1mKlKpVteULEcggXBu98dWsffvjxeQfA7AHoBJOTiS90I2pC+Sy6ozXM6iPGaee2ilBGw4PW/KMIBUCEa0BCVZGrbaNyUkoSNQ67K7V+YoZ2RGTmprZ/axUUUbiXbkWkmA+FFRrq4chwrdnk7sTlcfJhAEkt/tDAbMZaYiYzcDVuR6I8VLN2VLqIngIE93ADFnv89OB4ftF5c3cReKRwQ8mHjnojbmrmu2GULkFIIbtsGTwScb8+P7147+LRv/u7//r4g4/6zTm69fzevwUE1i5O6qDDQb3I5elpn7r1cvH66urt9dX127c62nqNeEPDei5TxtWAwL7MM5DUZz8TeWRulJo/KKJvdDLet//VWnv520IQr9zo5u6p69xMd8NoCpZFlzpCBk6Wq1998MHj8/Onlw/OFovOweaeHXs07rCBAvimYIjafvTZN+t3a36wzRCoxSVLOAkt16snT5+uF0T6+b/88/NP//Dm5cu8vdU8iFAUENrdXCVw5DkLHIwatR6R0cJOVKrOtSV1vrYeCe/724rQi3dAIN0Vcj6768OcPdNPM5T1fRKNT9Fv3sLPq7el5Zz8BumnEmKm2HBUaQz7ENickWHJFBE1E0l7t8nN9nXYsD9iPAuimEEg5hfd7/yeMEGzUwVyNGtKg15UXY4nt9Lk/478L8FKnQdWxjWtIOueqDFtqXY+VM2SZ3SY0qsaXHE4VWpf5r1qz1dQSKtmsGCeoqZWgKvTkH212gjLdvRhsAxGWmwuH73/i7/61X/4z6cf/TKtNkA68Gh8Wy0QmBYNM0RC3CR0tlltVsvTs7PPv/zy+fPnb968vrq6Oj09Pz8/7/teVYdhm3PuUgozqY6Du4M8KnMR7oiYmc/Bwy337S+jNYvTHPxCqCJmYVfTPOySyGq1yLfbq5evXrx5/f7jJ3/985//+qOP3js/72KyO9jc8kju4MiB8rUziu6yjv6U2pEKWOICHTCYlvWHBR2gEdeO1KXzy/f/7r++/6t/94d//Id/+O//z8e//c2i70cddre7BH/y8Olwez0OO1eHW0RiAQ4GM0vXs5D7lE6TZrK7z0L6qh/66D3GHQmBDz6g5Q6dLXyxzGG/9BKqiSz0La4G8+DPNN5KmTAyfY7gdCBqIAKACAe01cB2R81saWYs6CRJKWs35VI5xs6DG46pux23Oee4qYgsDEeXiAzD0FZ5qfVyc841YydSF5UorMVRBDGkjUkYA/ceQnwCao1iVPAoAzuj5NxxZBM070C1GdTNCQj7x05DQd9kCI02OQYn1+zdbq966agqYZpdVbOqV/nG3Vm6sweXn3/x5S7v0mLVnVwQ0tMPf/mrv/nPH/31f8TpJdISnuDkDprh3l0QSC3e6KhIAQACM7pQ0ql4IdaL/v2nTx9eXn7x5fMXL1+P4/jy5csgJackfd+3WiFlFgZjyNww3XYboIMpdeeg3Lf/5VuDQJrnjnJ3HU09EZbLpe52N6/e2DBcrlZ/98tffvT02eXpyelisYiYdzNyMDl3kQmaKjnrTmJLBZef8Fwj3KURkYXRs8X3O2Al4kPhTg7iBBas/PFf/e368Qe//OT3v/mH//Hqi8/y7Y3r8IcvXm6WvVDnTORa1vlIuwOCGcjC21SW0WqTLitX5OaoXBirFRhiZ3NzfKO+NS2ye/hHrY743Y4i21d6jluLnfB5syjnZF+vB5q50cTkxAQqftDnmKWBZFTZMWaHeVh4ZvBsh8+31w+ogD03hEwQCFAp7zj92tIWRIoxJWbioNhYhCfknIP/Elm8onTKHJCCj0NM7AYgj9nM2UpK0XEcow9eIjRKgteK0GW/4kwl2CxND1GkbgkNfIp3jGex5+OYzysQMO1slUxUBo/JKnfUnQazf/3qDZZnhCTLzYNn7//Vf/jPJ+/9bHX6EMsTpDVYgHSsZ90BgXsKNh35SiL7dg1GNgcDHbMs+mXfC9FqtXp7vX379u3NzY0ILxb9er3OOWvOTLTsO6Jq2SjkrLnB2meXPjKE/pQXp/v2g7b5KjOXvlXVNAvD3W/eXEH1fLl6/PTZ+48evXdxcb7ZLEQ6QLKm8DNTySDvcIPZlGLlz2wuVQm8Np//sLd50s/qagywue22277b9OebbnO5vnjcPXjy6l9///KT37/4/JNbUIZmHWGINThyAEuQVIjN0CrZ4IgDcvA9Ln6wMzDtNm2cqw/7bba9oczU5muDtTRsR90ogXizIPQauo6Ah+YLbDCA6j8zM1dFDWmPk9i+Bc9ndJKDlZWJOCXUSoTunrqOSvUiaWegUE9TakNRtMCiM5T7n0NgKHaG+djuz4PKQ6Satc5q8tVmzj0Y5wY8XtUyoloCdx8AzA+ue0QIAqa/7l5Qau9pHx5ycOzUGWCWu6BkxxaBsKlFccCyM6CcaLFZnT24fPzs0bMPL5598OTh03RygbQC90ACBMR7FgwAXwOBdPBxfw/3sG6AMaWEcffNZt0vl8vVzaJLV9c3wzgMw2BmSYSZu5RSCQWq0tPMqUt34O19+wttPuNSNaNoLGgwczW4L4nOzi8/fPLkwydPnpyfr5kSIA6yKE7gxFSCCN0MauQAZM+CdHhZAO9Gx58mah7abXX6Hi49AeBm2UVoAWbq+0W/+vD04tGjZ189enry+99uX3zx5qvPb69e5+E25y0Mbqh1GEBOPFsr52t9WSUb5JQd5ktkXdjeDYHTYrq/rNff5pv39sfh5sN9fN/C1igtzNTsbyj0yJpllKajXA1Uivc2XWQ+1E3LaTbGdz6V2trozaEUc5GGKPqgkfN5up3JCxgeujq4KMg13Ta5S5Tti2c01zKbYlqxY6ovj0q5mO82p6h4KeoXxOyJWNaeidcxmadYazOgaYH79zVvB0+wPogSDu/zCWaRszQiOFPXrU5O3v/55sHTJx/87NEHP1ucP8ToIHHqnRJDIjTvGGG+RgtsSRiP5Ux3gxOxgLiEJcGRTUGckjy8OH14cXp9M7x49eqrr55f39wkkcViQcD1de77rl8sUicMsn0jw4HP/N4X+BfbPKoXMROzaVj+NV7mReowDqeL/pcf/uznH3x4uuh6os7RAZ2DIjmESKsh4bDsOUMRef/L8rSHdpNRojTC8RL2jhydf7J2qAgCRevbq23h4cnw8o88akBwtzxZZnU1FaBnhuvy8ukH5w/e+8Uvtp//4fe/+ccXn/3h6vVXV6+/GofbPGqJRSZitk6Ei5s0Vsm9petd5sSycE9ItgdO/rUQOFsI55vv0ETnl/M99bEsl8HQ4JKntGTHplKyMB5n+TXwve5JXomdobdxPWzqcGmz8Y7TEQAfxzGcf0QUZrDmC2w+wibhuU/FlViIS5WnOe5SM4SKSJf61hNmzA2hDCfyrutAoSJbkmKhjTbFR9ZUAFRJsGbmFL5SMnEKRpBEJeGIZVDTOvUIs9E4emhHENge13y3eccOFPm9c0b4YMFCzaPmPDrRYrk4PTtbnp0vHj59/z/+75uHH6TNGaUe3GEpgNgIzd4txA0owfR77bvQYdrBFKW6YA7X8pMwlpIiXaACZlgvu/XTh88eXtxsd8+/+urlixfXb171i361WjsBtJDERnByMFjIE6AccieIIzOAl1dOAKsFEOEILi3VR9F0UZ99LbMUzjUFFoMMYLjvHxXNWkV4nxYU0DwfLZUFJ3azuUH3SE44sDgclKGvX+fpnr/DQ/AaEO37v91pKrOWwXZ2X9OPXpa0SvcqBzcZb5JPj4DiXc3bkc57KDNjRmvN59JOXp3PTl5kNnEnVR12ebsz1ZRks9mcrte/fvarDx8/XqS0EumIEiCE5KAI1+WKfSh2LeGOIHWK0GwgozP8TfrfT6ZNhhJC4ZgUjo+7m6twor19yZ0i9fJgOaVidAMAY3iGEJ88WK03v/rwZx8+/+LN73/7+49/8+KLz25v3mge4cYMYSaPIvFWr+sgK57TsrSAYOQGN3KO1OVc6msDbvPlDPsQWLS0ghyTalX/Whi03bIp3NQtg8iNEFmQiYQAgtR/TFG7FCJwTuJRPiRJSg43K2R+M0spRVbLgnPlKGFmN2PputQnkTzmMY+1xi9HUSeq/Ky4iWC1MKsZMUuXUgKylGwpwugWHQvBrKS94ahERUQkKXlQXyoE1ooDBRRqDrvS3BE5AWZvdK2HDJC7CCUhAApyJ+Eyvg4msLs2Z1zY3qrWQQBHMIWXxEEgCEzcyC38ysIOdmEoOQgkEHOLWFsGGXGYXxxu7ig1mclLvjQLaAt3owTvhJwIiZ3U1NVc4WV/hzigxEZklARCkswBMQEvVqtn7733/s9+dvrBR/ToPVmeU1oTJxDDKWdnYk7MCRQ1dO9qd1aNp/qGHbx19etsvwaqDggVtmlCDU6CLFgWKS2TPLo43+6217c3Vzc3Xz7/Akyr9eri4sH6ZEXEeczb7e2yX0phiQozSRhgzHPOZnnRLyVqvkw53SNciSn83hav0OxdC7cpRfFEizzK7nUdrGIzmkUHQHlymGw8YTVpuZgn8WcmBzXdeSYUxSj5zFyEJurCreFBVX8bOHlVrIHZ4M+wi6ZdK5LO/Cpe35vZ2YqfvNwXpuEru1QMpDoeXmdCdK0UJkJJBQhAhIvRMbIoVRAtjyMqve0ZeIo5zQB13ZlSpBEKUVwtkowwPAJ/fBzyONo4MvxysTy/vHzw4PLBxcVJ31+u16fL5VTnoSR6RokTqpJ9uLKp7MBNKDkIr6H5nP6a9qPj42EHqBJcw3bCCUB9072CFUgAhxAzJoYlgJTgMYQdoU/SpSd9d/5g+YtfDy++evXlZy++/PzVi+c3V29Nd/CxZ6+V3x3kQqEwgVmIRBhM3nccyORwYbArs8iiYxHVcMSSkEiKQKmi30RyLG8BZMxEIGFi6foOnglOhF6EhdVjslkp6BT/yEq9VHXXAQoyI2Y4qZmTukPNoGoolWgr3JKamqokYekICoMHw8HVHZbNjCx7ALErzDUHZ0QYcI38NXBzH8ZsVlLewLMNoxuo65jIxtGSmFrUus3DGOtcoKFlNy+Zr00Vo7OAhUCRV9TcncMkCY7hNUfIFw44U8mEGY8+7laFQKaqWdnM4Lnkd2ERiVJDamFUZDMGPBclMAl3AHsmVUAdydUdSkQsRCwJhEQc77xAhIWMAPT9YqdKHCYDp1JJpCxJVYt1OCWJLGxMgAmZOXkGWSfODIcuOnESsHS8QuodPBplg6TVcnP+4MHDi0dPLp48W55drE5OutUG/RL9GpRK9l8iEURW769/c98Jgd/qlTzakfY/xarJwt1mfbJZj3l8fX21XC/fXl/dbLe7cff85fPldtEvFl3XJ0lhY47sAQIuVmnhFElnmEHkEZEZy5sTnIIuBGuwQAC3pORl/K0aVFBXCMzQZR9+2teDz+0fHZ3gLpw6PA+Ozrl/LPkd/YrvfscxR533o6/H/T84tD2labPP/s41pUn7qBqWW9GzKn56G+pYlFma1B+jFkDq5E4kfQqtIRKUsDuZI4J+zWzM4r5iWW02lyebB+cXl2dn56enJ5tNTxSaX5PSpr97WNZkubJZjgd2Pgz7N/zTbXsiKc83T4kmpo3VoQAcpp0gArEjpARBAqVFf3LWXz7C4/dPnn14/uLL18+/vH75Im/f3Lz4bHj7nK0U3YXX/DoRS+gwU8CEiIWK9Q5umgGPCg7u6qpwmDlblbz2vXpwEJcqFu5W1NxqK4h4ubLoeF1cQtThKBRZxbUQRN1CEYlrmAMRERh0SnLmYnqYibdREREl0NzCOlKUWwKh1GpHZanCDdyI7E0hZidYFRHmYW7tmXg10ILLKl20SyIya1fgQgsMMggxoyid7ojsnB72wyJqx3oXL5FS1OgzNS5jCq9iL02j6zRtdAKREHcEJi5cY49pVoJNEbX6PPDZo7oWIkTBAN3PQePFEQsWFoocPwY3c0SQQzzdyANAhMgfoAoSdhIlgSTjzjitVqenlw+71dnm8tHZwyenj55szh+gW4ClToa+rgoxMb7V63wnBH6bTe/YxY820rR8JpGz05OL87PB9O311fOXL7968fzq+u1ytTw7PTvdnO1ud8ScRITF3ZQ4ifRd6rouUT9mM3cWbqJs5EtVV89hjm+mgqKdWaHcxiQhLy7rfVvR1NP9Ni3de1t4tvHdeAbgyMZJR3t8r/YDnWbWWtb3r9+raLGlqWp2BxETg0tlgcaPBlOiadWt2SvKqxhCfYbaqJYVriF4szm7iZqATlfLB2fnTx89enp5ebHZLFJHJQLOU3FtH7VjPWl/87sn8p8D+LV2eFs4+H7HzRw8XYoXM7QHMIjS0l1hCjgtN5vlavPw8ZMPr/P1Vb55/enH//zVp/+C4XZ3e7O73Y7jYKrkJs7JADdTS0K9MDOB3Jys2M3M3KXrffL3l/JDKPWpSFrWsVgXTVEXZ9Uc7H8QsbEQq0tGcnKmVACFyUXcs3EyFuVRKSkpgcjFQlkEHFyt5IoomugALYiUKBMJIA4rIhzYVNnZuUp8BT2KbZeImJikWnoJodwEfkeK7UBzTgnMkkZmMfdScIiZiZt/EhRBZq0aIoHEA9vJwMZwBgkLE4M9KtaFXToQ3UDO5k4Og5ObqnkUsYsw0Woi5VC+3N3JmSrPEgSAI3sSM6IQhJE7GRMYZlCO3ns21QBBV4PBOQxn5p7VRh2r6a3II0RoeYsIBGeFq0HVKkBySsKcDK5k2T0XH0aifrVYbGR96ovV5eNnH/38193mvDs55+UJuiU8zPFCJQPR98ni+3V5Gb5POz5ZhcC5yzj+KWxEfnt19er16zev32xvtn1abDab05OTzXodNUrMjIAkqeu6EqNap+T+bVReFEA1MNPrcmwoS3PZCBxwzwDYTDLd23P+ubr2nfb2LLmGm1EUhx/efela7LVIo+5eLUnzS9eevPOctH8vM6Moii/w7ruOggtF+IWXY1HMv80jgYgvm/eKMKrlFoBc5dwQEtx9HMfb29tUvE+JWQCYuqplzdnG2+FmsehW/bKTZDnf3Fz7MCSi9WJxtlz++he/fHxxuen7Vd91gFT5nkHN3n7fvkOLZws0+yhmbyLDCMExGCgPqRMSKqY1d+yuwQ4d9NVXn/3ut3/4+OPnX35x/fatDYOwd8KJnKFJpIvVUrPnMZIDM4GZ1MDMfdctl8vFYsGMnHMeB81jOOSCiCHEzKWQXgTGjVlHJ0MCp+VyKSKqeRwHAH3q4rURoSCYRL3A3fa27yMFFXXS2xhwS0QsiQjipqHTBTfWVDVnEU5dCpUpLJmmI7smhgiXQrvMkpLBzFWi9oXATClW+aiWZxlA0DHHXSag63om2u62y8Uql3qwPAxjIbc0W2ipFFi0NuNElIiEI3Opu4AjUgKFDOlO5kQGGMycnMxBDiMo27hYJi6BH96l3glqlnMmIuZk7mpqOsklsVRmMychEQDbYaj7s5mNmkO7yFpq4QLBNioljEzNNbNqn1Lf95IScVLVrHk35mHMqiqpZxZiJhJFiwgkEDGLObLbqDZmhfTLzcmDh0+efvjR41/8unv4BN0KCixW4A5IDvZsw6jEIl2fuu/Ca5m173nYd2pF1Z2QrxoBwIxOVmerbnl5ej5st8NOb25uPv/0M8257/uLy4vzs/PlcolIMRouaw814khny8VFbOXxIAwrYapBkIwbYeQIqitsgrwIV9WyNzEBm+uhGQsDxezobF83FHPl8i7dix2HGewP7nTGxEEBT+j+vcz1VPaJ5NL+FhwrJddnNzX/V/G1yRwzuIWkFNV5rCbvb7gezOr1auUwuOdxsEqmDr27I1+vNsOwvb16eaPap+7xxcWTDx8+vDi/2KyXTKvFciEpRZwDwF5UfgnN8s9KZ/vpNwMTnCUxE7pEhT5mRXbtV3AHL/nh5vHJ4/O//i/55mb39vXbLz//8tNPXr14vrt5y5bVbXQtXAlmEWIhZgjTSlKYv8YxjzkW+uymTCRJqJD3tWa9AsMZRk5mpi4jCCA2YiBnjLnIaggjZoYIVK1z74Fd6HgWWWM4PGmlxLIzyAwGOJcJH5ZOTAYkBnnoSQwPAz2FklYyYIIDI4nZTCPPB4XqG2a/MFCRD6MCcCgzj+rJShlWYjYmRAbu8j6V/O+1wh6ibHEJCQwJH0Ck+gvFKkUMWcjLVN/5slY5sUPMoY5sObyJOedxzMTFQREka62MGLNKx6EQOQujlZiZxcyzZhARiwOqJckOR/UDZqMSyi7ubuOwzdFtdSJmSFosVyzpZjtmYkmLlDoisqxZLWusDkKSFqvN08vLx0+fLR49TmfnabHp+mVarJA6cIJ04ARPpcwXS7dcEBGY/PuuCv+WEHhXjwhgVKHDzUyZeNX1q9Trcp2z7Tab3dlu2A27MW+vb2+vb0Vk0fdd3202J33fcR316iyO2BGlqQhaOb8D7kY2+Q2j1V1mBsxSG6BorPQO2AgssMopDNiI3Vq9ugZdjgmlpvHw6VTlM+0dEx/n3Euf/37oB8GU4PIAM9tXmk6ICudxWMGzqqZX1bl+nd1OrIjN3x4tYnwa9ygGmGZ+ER2V2BGB6WaetcS7BlWd5cFyuTl/eLpZbxb96WZzstlsVst1VOpyD6pL4F+sUeVUXqlq90D4wzUHiBgEAhfwc4V75NqGR34B57RZrZ3P1R8NZ08/Ovvw5c3V6+HqTX77enf95vrtq+3Vm3F7k/OYmBKTB1/HG707KlrE8xSWyGEm7hmmoUuhONeqi63wmUpNSDeYkbsrFZoFwc2hWcNZOGZjCWkJKqPRAGQAiBBJIiet5o/griq5siQWAxnIiCDsoKibIUlEGWQuiYO5Y0aShJnZ2Qo7FGXJIQOBRZiIO3KA+p6YhViWKzIDIFFgFgGjpQacu7uZmsNMiZTImEK1M3V3EycW5bAVlTda3cHuDq1mntJy1qwJQDYds7LCzccxj+PoJbyhsm98MvZE9BHYSUCMPI5ZlZkhkf1HSdjdNUQH4kgkC2aPAA84g5MLFUMRucOcndidCWwQWXQZNDjfjsgO575bLk42J2fn58vNiaxP0/pkvTk5PTtPmw11fRGHIrcRCTiBpHhwa72hPWL5d5/5fwotsLXiQa/OUnZXdyYPqppwWi7lZLlywFRvttuXL15e31zrMGzVVHUcRmZOKaW+67qu1Dim6i9G4SLyLJlEpf4exrTe2buq7M3oFdHRPRS689hvrQZ+37aHUkd/v82x3+mn4+3HW6zlb2jpbRueBz03GM41fxI5likt+sWi75YiK/CDs7OHDx5enJ+v+5LHl4KUbSZEoR2wO7SQ5gGHR2VOvse/H7Y5ijGDHISawL/QDNlZnFjNsqrAIZBus9pcrB6+Bx/t5np89eLm6tWb1y+u377eXb/V2xvd3Q63N8P2ZjfuOiKAmCQxUxKGwyrDhAki7hTGPGcu0VvMEevBRAnkREII1ksQQkLrKsK/G1xd2Zk9q3F2V2cIq9sOPqJ4F4VBZmpmILCzZAurIpGQdlYcEQA69cwQJjLiCPWgonpajXnDXsLlkGpj8QE7BAIiQurB7AaXZDByN2IjJkQec3IKlp87AVxUOmIHG9hc3aBBYlXSwvz08O3Uco9uNr2dZE7bYTQQnLLmUTOzufs45jxmAxFbYUmoeZB1wI5gZEPgzCADl8AIKtWS2YkFRK4OhpccJwJnd/IiuLgXWGSneJysTgZxiLpwWpIkkT6lft0tZbVZnZ6dXTy4fPhwfXom61MslmAp5npzqIEI1IFTZW+lEi9H5BGYF+vG9xWJ/80g8Kg7M1KJwZ2Jk6QULiK4quZh6PpF6BpMdHl6cnl64sA45jdXN1fXb59/9WIYdsTCwn3fLRbL9Xq9Wq1Wq2US0ZosoEV6ehg/TcMOQMHYKH3A/H+q6tQEe/thfN/1Zr/5iBZCsG8LpaaozVpR1+Yg5DMtbWbAnO8/7TuLjsDRbge65p4K2OyfM1W1eQTJ4yUGhzjmDnezbFnNlAnLlDQjaxC0adH3Dy8uHz9+/OjBg4uTkxP3VOREcE1pDcDVh2HsF10iInO4ax5LfCg1BZnuoCPft+/Y9h66w9xhKHXjqYSBw9WNjFhZTMSpK7GX7OQKEXjilSzSYvHo6SUpYBgHv715+/mnn33yr1988ofd65erhbiNrqaAF+5UhqmFBMWdCVsk9CEGK4hYxMgdRkRCFjpVkP+NDK4JKYKbmEjIMlkiFRDbSBrJLpEhroO5OiwC/qjkKNFI++JZTdVUU+Ku74tPP+r6ZmOSJEmkK0V6o5C9m5kzS6tzi2pFdfcc4MrMbEM2ECkyMe22gzqpZndj0DDsKKL1hWUeROTmTiU7K8OFPBxvagwXFgbB3F1Nc5Py3WvMEgWK0nabs4LAWXVUTQIQcrYctLMp9baDBbU4EoEEJKyJIlDLKAQXksiYTiSRcaiU4orLBX0AHBC1M6s7iVNyEpdOpEPqRfqBusVqc/bg8cPHzy4ePpGTM1qtISkIRUDV9oCQD8BePGZEblBzLuE4MINasZw1pvD3aD80HeZrWwx6iQkF3D2rei0A3QyEiHfSvNCO4e6hTqg5Rs1Xtzdv317d3t7sdruSzgB0fnZ2dnpaQ09qhY4ZTXwig7QIueaKNUIOkhzBvf1a9qEZGPgsnq9qNxmqZFZhgwrCzUAjBGwvSRPKbsXKT7ZPh3Ha62Tj2rRLe720z9yQTS49+Nz2b3dkqKTx4HjvU3v29qxnOfgpLDHCicHmpprzOGpWzdksBy+J4Inl4vz08aNHjx48PD85XXUpFdOPiEPGvEqSaiJEOEyVHCJCcB0GuBFTihRE5T6q3ZgYfK8IfpcWTx6Y02Gay7kJgvGWTAK1Aw5zZCYlWOUlUY3IdMvQTFBigik8w0aowtQCWyz7cEsvvrx+9fL1y5evX728unoz7LaaR3cVpr5Lyy5ZHvOwg5sIs1sUfyDYbrslMwGIsFgsmHkcx2E3oEa1Iwo7MIIOIyy3NzddJ5HuOXWL3ZDVvLn6UPioynBmTom1lsPtuy7Uqlg9sinISZhFTLObM3MSgbmpvQMCKZsCEBES2Q3qQNcnImx328ViUWg1oN1uK8wSgkaFTy/eIYBhYCMGlWIRMGOAJYIS3M2pqKLaqG/VEENOlLP2yzVqJfqoKR9xgUHCaRgYBPyWUxuaO6AnMPk45mxGLCklJx5UIQywurN04RR0s+wwOLMICxhZc/AxDCBO/frk9PzBxYPHZw8eLs7OcfEIyzVzx9IxhMK3V95licDgoEJNXIbq8XGHGQobpE1PL9O5mMu/+5vxJzaEFrc3UBISCDNq4XiYhUYBFOWiSKYeiRiYmUFI6Lqu26zWOeecx1F1GAdTG4fhq6++aks/i6SUFovFYrHouo6F34X1jvpaz7fMR5kOB33ukzvUz/64Vs5c3Pf7l6AK48cK3H4f7jRjTn+rHhUnJN8/ZvZ3bz7tDx+559utDjmMzUzoRZar9WazOllvlsvFsk/L1C37brVcLheLvuui5Ez7J0kSEwOmcQckIOK6/nYCK7b+unw7KiW9kvnvMfCPam2RQcg3VJy5HvRqcwIFCztGnWeHhAFKSCAEI1NlSmABd+BYsp2ZOgJsxOo0Pbpd7XYPxiHnQYedXV9t376+uboad9vtzfVWrzM5YImYYEKUSAAbMZKZeU4EU4EzTGEKr65KmGkmZ9ccHAB4hhPcYAIHUVdNK82GwHC2AvYLiLpn5kSUnDT4/e7iPqpnwDiC3szF3JxgZmrC0JAPptqB5E5qCgKLkdjtbnRCb0ZMu212pKzqbkI8jEakErkACgTO7KtUHX4FsxFyiUQ1d6+cF/fC2fEmw4QBzDXym1JRlcgcBI3q6u4kTELhQLTyLA2RMiBbpERzQJ3UlCBknTrGUOGJ1SFIjASi7JY1qpL0LF1aLk4vLvrlcrlad+sTrDeyXHWLZd8vu24pKWF1itQ1Lz+Iis4XUcacqBMQ6cyKNbfMEcMd1XpQwkQLScGdvlfF9T8pBGKf/AFE+CVQNIxiR8cU03zHQidE0nVd18VR6hYks+3tze3trZvnymxy9912OwwD1eCdMt2YWVi4FJ8jDudqWfUL57N5tQCEuzk+RsXsZoSsWBXfp9Qb9S5ppoQdtFBMgynSsvf4TNEsqxKBZsp63Ac1nazG7AZUxPtrJdahBDDFeeNFCWGz5NEBZsTSuPwe2zWsyaF+Z81xci6FRHnRdX2/6kT6vl/0slh0q36xXq02q9Vi0S+61IvI7OnFB66GexZujxtl+Q1jp4doXylD2JsyB37a+/Yd2jeMWnvVvMmF9bhCapnZ16n+R8SOsFxVvZwc3EQWB3XYdGl1luDreKaW/fZmuLm+ub4adtvt9fWwu9Vxi2Fnu+1ue6vjaKpj3uXRxXeCEW7qbE4GgSR3N448KUxuCnaGQbITpHcWQECkYCOmYF8WV3WkCZWgXUfWHOmESSw4OBJ3T+o5gxwQkIJqySUQyCpls1h86pvs7hZAa+SRXQaU1cnh4FHNLdYOd2IQFKWICRWyT7EThbpOKKtC8ROG+a/YkkDEkUQsnIGROjRyoai7w7JaFCQHSzBTzeEgcwhxgJ5WNA2jt7mrkXAS6ojIUu9kBlawuatQxDqag9NClqt+segWi9QtsFzIcsX9Ii0Xq/PLfrFcrFbdaoPlCpLKux3jyl2pYVlsl1X5KKuDELPPskvSwV8CSqD+3sLyx2ggP7AhtJ3r8G37+ovMDDFTo+kX7CX9vOPrdIT7aDoM4zDshmG4vd1ud7thHCKQJegyLJH6VVJKU2hqFXOJqCieExR7tpIcvS7JzaoaXzXStxbTqyNoqpG9zWsWxNLhag6tdkXK6mVCEPkUKxOQXPi+ZqZe5c16zhxp+2rmCS9FUszcaGb5CewrCWZtCpGEu1R50z0IaVY86yFhEiGS+rmrKgBi7rtusVgsRM7XZ5enZ+vFYrPeLJfSSwnrjfqtXK0T7anOJ+47gGxffXW/Y94Umeh7mz3+UtvBQM7NGEe/t6ezbxnxmSm1/bT/CPzoAwAoaqwzwvZf3Ef1nKogg2a/vdm++urq9evb7c1uN9ze3ozXb9L2ptMdWy5xc6qmuRaSNdRw6NbbebiUO8asVJb4yncLIRAWClmtWkPuGsZJIqj6dtxlZCSSTjSrqwooSSJ3UxdiCcJWvIzuWgMbiJiYnZA1F35eXSlqxo4SPFEuDJ+2e+RNMYCEWFgAUlMzCyYgIneMewGtEmHiIlzCDEzHIKpRaHtMxPCAt1iWsFgsAIxZsxmzpFoXXlXH7In7lHrmJNIVnx8zmFPXcxLn5JJS3682J+uT09OTs83JKZ2cYL1Ct4AI0gJU7eV0UJmBq6w/g732E9iOLGpNbj7YMptmM/D4XuvBjw2Bx7eLO7Ycm/gOrHfYf2PbqFj8c98Nu6urK1Udx3EYh+2utGEYxpydcHH5KHLgCoskZulKlvgwwLOAggMJ81o5JaLuYUlYWCa1zNyqwxkIK+5UoGfuUYvfs3qVUglRerSVa3GXLhWbfvXVlxsPCIyUCOQEmSa5K5yJoaq72x1gjbNZnaQcV8rD6C2spLaS/MEsApmXy+WmtvV6vV6tStxCdnL0Qon3Ic2C0AThILPX3+5ahQ9hb29mvGv7PQR+r3Y0/gfy5Z2CKMpAK8o/7A/+Hc/i8DqO+iLOIRATBO9uQEASwJEHuEEIwnBAM148x6uvfNxtb29vbq5vb65vrq9vbm622+047ty9kwTyxoeIF6QYSkx3t1dw46Jw+MxJ7w4rwm+JvohyrCUXtloeYc4kSVTVswooEZuaZ2WKXC3lvQ5zlJb3nYmFCGo5Xrg63qhWnqn4MBDOu0laLWYazWQqRACrmwHM3HUdSSqPicXdc87hcQUg3AFQ02ymgbClWBixk1bijMGXi1VwLxqjtvXMnAdlp65frtbrk9Vms9mcrE9P1yebzeZEVkvanOD0rKpxXEQKK8xhSIdFJOo8WruPG81KCTg3RfHOJf1oerUdrVi5CTXg7ru1PxUEHu/xbdq+FDpvx1qgmrlprPJUU/hNomaoOCFnlewKmms6hqz+5u21WgEv1ZzVgspYlCoqOV2JRZKkJMySkggnojLwxQQaSqSjGSEDd91n6WMq/DngzmB2KqldYwdrTZVFUHGxPayAQIUrBZHOicQ9TCBupiU2pAjcqlaCfixb1jHuE2Zd6jqRvuu6vi9wt1wuur7vOqmioESqjprGwpkBYvOOsCCSGRc5aK7zmL09M+uBuNMyRX6L5nuvRozUPQR+x3YITYfjX4thHzYC4CMwziAwFh1uhu34e7CE+WxvVHdc0fwaBDavXrysVnM8RCoNy8gjcq6V47KpWs6quWQJ223HqyvVPO6G7Xa7vb253W532+2w2+VxCxuWshPPUViGyCPzcCwOYIuiBojA8JzNDOTCQszmPqg5SJK4gmAdp44S1DyrEAtHrtEQSecQSMQC93HYUV3lZ/YYOKgYjLg5ZqgmXYW7s2fGwJ6F3IyyaXaLYvPObE4OIhYnijxlcICp7xZEbA51Cles1wWADKX2YCSnMEpd6hfL1WrVLxZ9t+j7xWK5WC6XtFzZ6SXWZ8wdS4rsNVEhgyWRCCSC8yaRY/aXHSlzd/Bi0mynI0ir88XRlL29OL85RJdmewdilrtkljX+27c/tS/w6H7evQPdsbn9QsdnIiqrcw2W9OrAA0CEJDyNZyGaxhdXw2qxCrUrUDCbZc2leEnEVrh55ABy1ZwHHdzVDB4GTxRTZFysalvVuA80WqlVDRCAgwxMIoXU3FqxupppERUbBBbJEfHofZd3o2UPQRJlGfMgG4ESS0qJiRYi3HWSJBUgEyISomXqunB/R3aprmsRl1zLo7WhbrzMEDE7QhdzdIJm8Dw57bvw793t3caCli2ghW/eR0X8sW32oOZOvr1lZ6olckfOorlR5tBA1X5rgFl3mjzmxZNOQi1/ogvcZ+sYgzv0QORmQdQQqdgJt3HU2625hqA5RlmjPOiYVUey287ect4ijz6OOQ865pzLew3XYbczM8BNdcRujIyMCnJ2N3Um4g7J4UwslIySI5urA64U8YVhhNGSKMNBYFcCRCQE0Op7JyBy/DOJhEwe+l/xIKIsSuxIxERs4TUUJsCIMpMTKyibj9mYI68pkQiLoFskSQ4CpfViQzT5e/qUuOsodZDkws6JJV72lFIvIinsnn2PxQqLjXcrcKGrNCIFSlJZWIRSlIfbmPwhA4nO7D6YrR7NXHA8/d41LafJdPRpb/c/biH4k0PgD9SOsV6IQOLF5Hag207vcdNPpveQwIzz05O6X5HXdMIdy9nUcjbNWYdxGIZxHMdxHPKoZkZVgysGd0fJRQuoF5J0IJ/Faz9hc4l8URR7JIBIoEtMBEkcFUkQuQGBIsBKGFjIl5bUMsiLSFmqXUZ/SIT7rosMF13X9dG6LnWdMAvL4h3Z1I8FPEe47GOVCkbXHocH9X7aQP/xWtr0OKZt9/lBf/Dm9YEd6OnY/zpfwWj/391t/oMf/VJAkMLzVVlbZAULYgMLYnJRlf2YysLrAJwTeDmlSCovfxjH3Mi2GN8i7zDubBjGYRev7Thmzdncdrc3AWOuNgxDzqNFrBkRXD1vWcfE7KoCTyTiNG6343YrRAIOkZQIXviVrpEdBhAguek45HHIJWUjg0gkpa5LfR+5rUFMJI1hXjJmmolrggkTpw4puYgxGbODFDyyZBGWDiVQj1lS6nrhRERgWa/XXCXbru/6vu+6Bfc9ug4ikFS4S1SfqRmCfCc9IC1JdxlwavBMTmRwQGYjXpOzHRlmvqNGdqT33N2+Zp/vs+D8ieICD20w37TnN9zK8Qtbj5n/0j4cC6vNihzvl02KDNV6wJNa9i4b7PzKca2svss5a3Y4MWezMY9DFI+Gq3tTAUuNEJCDx5xH9awanB0R6WTSw0KRZCIqbBuK+KTIAbBcpEWfIh0DEwtNYXRtDI9Bw49+OljMjg0X6rU0ijsAJu+ECwNmGqmWUCAE+ckDesfDor2BvHMWRtzkbBevudG+u73jvh22uUHpYPXhyb9SXosM5NlTmiNiexp88Lqhfj1oB7PLtNR2p713rsQ8z8pZ7LdiSp3Qs8hiBnN1B5uxKxg1fCKuSpNBAVE+qRpdYQUJYjcf9dXnfvVcoJ4zmcHho+6u3t5e3ZB7aiWQuIbYuluFQDbT26vh5ma33Q7DqBHxJZy6frFcLVfr5XJFnAJpgpzqJeOLwciHzIY+9f1qzaslLZfoEjg4I+KbE3n4CJJAqdxL5LErg2TgvP8calhIjNU41qEglHqy9emTgJOT2Gy8vWTiDq2VJSLlZw+3EZw4Qpv2ZtLeQz/4ejhZ/Nu/1n44swjfTz7+k4bG37f7dt/u2327bz+ddm9Wum/37b7dt/v2F9ruIfC+3bf7dt/u219o+/8B+no8gZILBj0AAAAASUVORK5CYII= | A lampshade is constructed by rotating $y=\frac{ 1 }{ x }$ around the $x$-axis from $y=1$ to $y=2$ as seen here. Determine how much material you would need to construct this lampshade - that is, the surface area - accurate to four decimal places. | Surface Area = $10.5017$ |
6350245d-a020-4f20-b18d-8420582c7b2e | sequences_series | false | null | Compute $\lim_{x \to 0}\left(\frac{ \cos(x)+2 }{ 3 \cdot x^3 \cdot \sin(x) }-\frac{ 3 }{ 3 \cdot x^4 }\right)$. Use the expansion of the function in the Taylor series. | The final answer: $\frac{1}{180}$ |
6359d8d6-dd56-4fb5-8e66-e731b72e2ea1 | integral_calc | true | 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JPjDXi0pq1GvbBBx888cQTmRyBYBOd5c0KOBx2lCbss033xbMIrpPdlHlaxCIg28nyV2vrtkceeeS1b3YqT+dyRULnosNS6gpaGRm6tNZZDSt4ncUlr3fffXfHjh3PPPNMvi+Hw7E058+f/8d//DVLntZx/4AsT2uJu4T4A2Q7AEiStG1bz549m0j+Fg06s5dPqPeIYSCzxANrUPA6e/bs2V/96leNjY1Hjx7dtWsX2e5yuaqqqvBxRUUF/TNeuXIlaeZdVVXFOyJyZgM6JqwS2g0gFoFyt5Hh6YFT49/97r9+97v/Q1VkIe7MGk5ejy2GpQmuhlknkbbgdRYAPB5Pf3+/bKMkSVNTU/h4aGhofHwcHzscju7ubrKb3++fmZnBx8XFxR5P4rN63bp15PGiRYuII37rrbcuX77c7C/CWpi1zMqxAgqFhXX3N6zx6OVpoT+AIa3OOtjefe8MDAz85jff1UpIEOodABHpHT9A2vf+FGIeV8NMwQ46qwodwMpSaLWqby9dujQ8PIyPw+HwqVOnyEtHjhzZv38/Ph4dHQ0Gg+SlxsZG8njZsmVLly7FxwsXLmxoaNC6BosTjUZT78SxNrJ2BKRYVua6KsFgVmYRKMH+W8okWRqSZpDxvb/R1TBrYFudNcDixYvpRAWWnl7hcPj06dPkaV9fH3n8H//xHwcOHMDHoVDowoUL5KXa2lpBEPCxzNNobW0ljxsaGvKV/8vj2YImlkgQ71hI99NSTSFAyDIXMIjs2s3PTk5OSkf+TWefmXIBAISI3/ByFmLMOoBYma8lrAOusxlRVlZGB6qMQavP5yOPaU9jenqajrUHBwfJY9puhmRPIxt2M49nCxRMJCBDDWTLXKikymCWTiQAgJHhaX2RbXrkKUEQfvKTb+pfDKYZ4ON4w0PDXUYMWgdCvSWyDuygs4ODg0VFRQBQXFxcEOMUDUjz+fPnP/74Y3xMexrsdvN9991XUhILZPTtZofDwXW24FCkaok7FctcpKyAoEwkoNMMlGD+1qpVq7Z2PqivxdjNILlljPHMAVHET478R6bGsIPONjY24jpYIBDI97Vki+XLl9NqSHsaWnZzIBAYHR0lT9HTQENAx26ura3985//DABHjx5dtmxZXV0daq7D4WhqaiK7FZbdbG9YFBaoFALyVCuRQEtAcUjt1q1b//Zvme6ZZC1jYu5BBmKZ7nsx68AKvQ7soLMEnqFFU11dTX9DWJRxYmLi7NmzP/rRjwDgiSee6O/vj0ajGN4ODQ319vbibjK7WSeFziJ2s12RdSTQT9UiwayOwuq4tzikdu/eJx9tfkinGJegMTFBNG7TgmhApINBp1m9DjLBVjrLyZAFCxa0tLRg5NvS0pKh3Tw2NqZlN+uk0PHsZhYkSepMTobt6EjR7QUf6KdqaaUi/O+3fv7d7/7ryZN7MaNWx1hAhHpH6FxIud3wilactIXWIoVhXGc5mWLAbqY9DUa7GZJT6Gi7+fbba26/PZEoYm9PQ6awogj7OkR9qxTi+bAAoBOHagkoNjkkSbIp08JSYWRFCwq8YIHrLCcPyDwNFrsZPQ3ylE6hO3z40NWrV/Gx0m4mKXSY3Yw2iMxuLghPQx7DdojrhOmUCVgklyClOKoK6CNf3TE+Pj468EtyNJZgFtSGJiCZrWgZ1Ohg0OlyGTqhSXCd5RQG6GmQpwY8DbSbUWTZ7ebVq1eT7Avabs6lp6HlEhz3D6TsDEv6FuqfQlVAMX+LbnKozFhQgrUJgu4+xk3aNK0DSQK3M+qqz/OEBa6zHDtjQJq1KrZldjNjxTZtN5eWlqabPqrjw6asOJD1LdQ/kbI118MPf2v16tXKJocp07mCQc1gNo7BBK+0rANqXkOKrz0HcJ3lcJLQqdjWQtVuRoOCtpt1KrY9Hk9lZSW+Be3mcDjcdeQIkRXlSpdOxYFspSvdYHY44v+rv/r617/+9Rcef0hnNy1Ux9nSZLgaph8LJ4/DEQEALDBvvOB1trS0lM4S5XByj47drNUQWdVuRoPi1Vf/f0SOS69fx6j5zTNvvvkm1NbWOp1OfGn+/PlHaxJHuP322//0pz+VlJR46oWUciyD3ucnJ/Z//evYf+shnd0yx6h1oP6e5LHk8tsGlyuSX4u24HVWFEU6RuBwCgJVuxkrDs45m6EaQC2GxXGHAOA/F5qenp6cnASAycnJS5cuEW+htxc2nvkGectf/uVfErt5/vz5NTU15CVRhAqh4Wro7Ph45RK33+30oMj+n//zfx5tvkt2wYwrYBpps0oy6SqbeCMlr6DTRDx0Ls8WbcHrLIdjA2Q1XVr5sBhOouW6xvNF4hLoVHDRT6+GztI37F6vBCBFIhGn07l799DMzMzcuXO1mhzqr4ANR/xup4fqzpUCw9YBaUnDIq/Wgessh5NPLl269K1f/IIeIcOSDwupKg4gHoEmH2rVo0mdAtuBmrR43D/wyrcP6Jxa+RI9KwywP9Zl/RWwJNK1DiSAuDynNwIn71m0XGc5nPyA3Qs7vV58Korii/dPQ6oF/ZQxLIHFTmVc2lIulEG89oFovVDvkDU0SEUa1kGy/QqQUddwVkKhkFmH4jrL4eQaRX/YWOeXlL2yiLSlFFlGAWVc2iK7qY5iRIJBZzGk0eaNxTqg/QESvsY3Zl1oL1y4YFZtIddZDienYOcX0h+W9NbSSXSls7X0axMI5gazELd6tZwKnE+TlmmAqFoH+varMW83v2NsuM5yODmCntOlOmhWqXqyqtm0lDElKYu7hiN+kGCEoboXFF0Q2RAVyQNAZb+mfTjLwnWWw8k6dFmX1ihvZUWW0iVgKXtFWGoTQDt8TpxLBBhOXU4G2g0NdKCSB0BeXJCKdNfQhIgf6sVgMD+9aLnOcjhZJBAIvPrqMS81CfG/t6pLm2yhSbnYxVhBC8yuq1KLI5GIzB9gbxxjACkpeSCt8NVgrJuvXrRcZzmcrCBL2Ppf6yu//ugXtXaWLTRp2aAGcgNSnhHiCj5wahwUbb0YI+i0TIPk5IH0MrQQY02/8tjzm+ssh2MysoQtlibcS9wl+goL6ecG6EC0mHYnVq1cdOyYU7kzSwTNgkbyQCaFYemRx57fXGc5HDPxeiVvPIgVRfGR2z/Z8jBTE26WooOUZ2cPZgFgBJIqHUZgQLabKbW2+p0HMp6wkB7BoNOlPtYnu3Cd5XDMwefzbesZii92wc62tsrKcYBbdN6SYRNu1d1SphCwJ+EynrR4MqRclcpB8oCBpbBgeXNeqsK4znI4mRIIBB599ZgUX+x69tn7MJ3guD+gpVNE74BBZBnztBCdDFwAwBHiWrsZIBh0Xo5I5N5fov7HvLplbEqCEa3MV+MurrMcjnE+/fTTr731FlnseuWR27c83IqPWfpwAzW5Sx/DpgE5FwlgWabVah1Nxky5APHFLJXGr1nHiLGbl6Wwv8j9KU2nuLg4EAjk+yo4RvB6pTn3dEq5tOhM4tNPP/V6pc9/PiayHaL4/j6RiCwAjAxPqzZewcSpNZ5V+CqjncqYzkV2wxPR5yJTGNi+PqaTulyR4skQSc8SYzCeIU48Dk7vTYaUPHQuCgDw2Z+MvDkD7BDPejyel19+ua6uDifr2XvcKccKJFuxidpZgjIYVE0nyEarF2UAK4Ox0oGR4Ygf3VfDH5aiAZUtNOygswiZrNff35/va+HYliQrVqOyCxTZqaoJW6a3egFFCoHho7FnGtBhZSb5Wcbem6OMsIyxic4+8cQTPIwtdCYmJn760z+uXVsOAK8eOyZJIAJs2lSn9ZP1+XxDQ6Vf/nItGXSIiasA0NFh/l8fbcXqVHaBWmipKm2MwWzKC2NPIWBUdsZrA/koMDED2TP23rTfla9GtDbRWY4N+OMf/9jp9XZIIlYIdYjY2qrn/X3qY2JLS0s7vV6ADqKqzz//Y0mCn/xkrenX5vVKpI1hyroDFCn9RrHskpeyU6LpKQTGMFajlXuCQScA5DjlgOssx1pIkvTuu7sWLFgAAKII93RKXknap6azuObilaQOEAGg0yt5JWn4J9+kRyKacj1UCxjY2dYms2JlkC6CKe/fDZsGyiawjCkEJpoGgDn/TKPAUpOBRqf9LkztSv9EGcF1lmMV5s2bBwBih4giC/Hsdp31lX0d4j2dXuzS4vV69+3rMFFkJyYmduz4KWkB88gjt3/xi7e4nSlElnHYATCEnzqLaYyn0D+aFixyPFMuuFwRuCzbbCwT1iCGG9G66rNwNbpwneVYhWvXrgGAmE54EgtpvZIkSe/sbFtv3p84XT6LWbH6DbazMexAeXzVGNnA0UzBUMNZPXJqOuS2y4Ed8mc5s5kOUZQkSRTF9evXm3JASZLu6fR2er1oE2NWrL6W0XUH6Sa66u8GALI02EyOxrIbo2q7XBEhIm+HKBrKhCXvtnF6F49nOQVMIBDo9HpFUZQkKRAIZGgaJBkFyTlbWnYqHWaa2+qFZBroB8iMdQdpmQbMDWetoIuigSg4991keDzLyT/ozKZLIBB49NFjHR3i+/s6RBAfffVYJtfg9UoPPBAT2defuuvYcx4isqoNtpWVXYwBY0rwyMTnTXlM9gZdjLB8FbHCKhVEg/UKmWTepoMQ8btckeDVMaPnMwLXWU7+QWc2LT799NNHXz0GIuzr6ACAjg5Rig83TBfKKJBEUZw80P7fW++S7SPTsuP+AZCSbuSHI/4lIdaAUSvTi2i36RYE49EikQhjpoHu60Z+CqLRN2YJSZJc5iV/cZ3lFB7hcPjzX3sLAI5/58u45ctfrhVFsdOb3h9qOBzu7PTe0+mVJEkE2P/sfceeS2GAohQucZe4m5P3ZLt91Wr1ggEspNn3wFyn4mrorNPJlPDkckW0poHleniiUUc4ZTeZqampqqoqI5ekBvdnOflEFGFfR8fnPvc5APjc5z63r6ND9oe6r6NDqV8ffPBBhyiuXVtOKsHKysr2bKobGioNh8Nkoz5JpQcd4qvN6uEea3GXML3GmXYGq1aeFmOiKyOMubqSBNXV1SnDXsPTwBgw0hvRWAyc4+6IXGc5+YRu77RgwYKOjgWyHVQraO+555577pFvbGlhLb1O7lEAL97fsMajV9y1xF2iX3dgbp4WO+xybGKpWDDoLJ4MCXq7GFmbQnKTfhs6F4VyZy5Tu7jOcmYRn3766dfe+r3X64V46UGd26k/LQbiUpuy0Dbl2RnngJmet8D+GVBeXp5yH5crEppMtZPl629drgh8lrvT2cSfDYfD+b4EjtXx+Xyf/9pbKLIdonjsQHud28mSFauVuEp2Y9S7keFpmQmrill5C+kyOZlSPmOmgZY5G8NwFq3RHjQWWj7TwA7x7Lp1606dOmVWmjrHfsgSY7FdrGq2FgHX/XV2SJAqdktrRA07Jo6/TYuUZWCGPVMRQLJ+JGwIO+gsh6MDvd71OtXMUL/0AOsOWI6vswIm66fFQpaKHRj3ZPENrEj63RGDwWaAMZeL+7McTmbIenLvo5oZok4pSw9o5zSTYQdKE9bcllrspLVAl9I6CAadxaBVoUBjfCnMltjEn+VwZHi9kvvRVzExdl+HeOw5jyxxSiaysuIu9mEHKevE2I/Gjrk9DXDPlMmzTOYswegUm/QnhRk/Wc7g8SzHbtAdYztE8e/+bmXNvOv0DrK7adVmhgbiysxTtbKRQsDOTTfdlHKf5AEK2cHYYIU0yfHU27zp7KVLl4aHh6uqqsztysyZzYTD4ed/fIGkbe3ciT25r8t2I85shsrIWMIAeVqzYpfj2J7vpdiN2TTI6WxFY6tnoXPRbBZcyMmDbzAxMdHU1LR06dK1a9fikNqJiQnlbpIkFSnw+Xy5v2BOQSBJ0prnf0ynbakOPiBpBjrNBtlNg5Hhaf2mhexHY4fVDTBb6dhjQOPNCnLs6eZqwHge4tnnn3/e7/cfO3aspaXF5/O1tbU9//zz+/fvl+02NTUFAC+//DJOC0caGhpyeamcgiAcDj//4x/HJiSK8Mjtt295OIUMxXoUaKgV+4REA3MNdA5obgoBYykwJL5ePWVMz5wtBHLZHTHXOhsIBA4ePLh3716skWxpadmzZ8/WrVtfeuklVQPhi1/8ouoMPg4H8fl823qGYm5sh7hO0KvlZ5krk7KlN8TbDDKKbF5SCNI2DRgIBp3ptAQw8mdrNIXW6hKRa9/gD3/4A8TnPiH4GLcr4SLL0QK7bbVu65EkSRThnZ1t2AtG5/6dZXiXVqtWWVctnRPJYG+wbW4Kgemkuwhm9SSAHJJrnT116hSo6ezvf/972Z79/f0A0Nvb++CDDzY1NbW3twcCgRxeKcfS+Hy+NWt+7I2Hsceea8cSL61s1jTquzRaetM1uGlFi4y75cfDTd7T5DoFo0Jr4H0GOg/nMuXAKvmz0ah8HRO3PPPMMw0NDevWrXvvvfdWrFhhrJEzx058+umnsTAWJFEU+/ZsIi0NVcWFrFMBQ2gp0zulwqZ7teaGn/kauThTLkC65qzxG9Fc3MLGvpa5F3NwLrBy/uxTTz3V2tra0NCAU6afeeaZlStXbt68+ezZs7I9HQ5Hb2/v7bfX3H77YgDguWI2xufzbds2pCyiBd0p3GSuTEqflOyjP7/WdMs1XxldkGbBGDsZZXblqpgsZ11oc62zCxcuBICJiQlUT3wMAIsWLZLtuXjx4sWLF5OnCxYsePrpp3ft2qU8Jka+hw8funr1KgAMDg7i9tra2o0bN+7cudP8L4OTcz799NOvfe0t0gtmz6a6FQuT8h9pqVImtKZV6a+/zJXWoUx3A8zVd/avxdAU8VzpZTqiLsX+B7fdxjQ8whRyrbNf+MIXAODkyZOkvdbJkycB4L777lPuLOuNPzamOTpt3bp1Sj31+XwmTp7g5JGkEi+12Qe0opFGMLJ9WEwDYOg2y3IoJK2+tGbtxn5eJFvmrMWIO474fyLqf84s2lzr7PLly10u17/8y78Qne3u7na5XMuXLweAQCAwOjqKKV/t7e2HDx8OBAIY+U5MTPziF7944IEHVA+rKsGs7fU5FiapM3e8paFyN9JhS6suK6X0kAGIKe1UO5kGI8PT7lTusVDvCAZBiOSqeip9x0E1G4zErYmwWozrK+KK2NY3AIDXX399w4YNTU1N69atO3r06ODg4LFjsYnQBw4c2LVr1/Xr1wHgpZdeOnz4cHV19aZNmyorK3/wgx+EQiFVE6C1tXX79u05/Ro4OSFlGEujM1pGX3qIwjKuWZmel8qI6fqeJgbsVsMptGkzIjTgyZRxq6hxGcGgUyeeNXd0QB50dv369ceOHevp6Tl69OiyZcu+//3vkzSv1tZWslt1dfWZM2deffVVv9/v9/v/5m/+5pvf/CZf4Jo9eL1SZ6owFkkZimopFF3TZXo5FiPZSCFgzHBgP7Xh9jHG5n2NCNMisH5PYnGrAPFkJD1tpSmeDAVBcFWoTwk7derUunXr2K9Zn/zkG7RozMyTba+urt63b18Or4tjCWR9Y5VLXjR02pYWqqO8ZeJrequXfLkBLFYAIV8lD/osCZ1NGQtLyZ7AktBZAzVNOZsSZt28Ls7sJBHGAnR0iBXCtJbI0okBOgfU6oKY7XvwbKxZpcR0cxYAgkHn5YhkhbpMSdtvlSRLdxbnOsuxChMTEw/s+CkJY4895zlx8aqWXUDc2OP+gZR1tHRKrKrCmr7ib7q9kC9zFisUQAKJ5VZchvEc2oRosvutBshZKxmusxxLQAoQRBE6RPHRZg8AXJ8OAMj/Duhb/pTCh3rHEsMy3kGzF7OamNHFDrscM54aV4ouZ3pdaSDhP5IoZUdbabhvwJktJHc1TLixqgO1ZEkF7LKivxvjHXRa1icjLMKdr3JbwN7eRhfB2JtvkRysEWF6SShW8Jm232ph44DrLCef0Etesjpa1SJamVymbIEIDKO82VXM9Iwu04U7LXM2PSPCkIqRdCv1Q8a1FQCWQAmIsAFKAET7dTHhOsvJG3TmliypQBbMqubGDkf8WsEg7s8uOoxBJePRTIfdhcjBxaSFMnNA6bduYE7hMhch4gcQYe7FHITBXGc5eYBe8uoQxVefk8tcyiJa0AgGUWtwf/ZR3oymgbkZXXnMnAW1yHdyclK19FaI+DNa0Uq8kdlvzdV4Mf1SBRPhOsvJNWQCggjw7LP3PbRKXntC9DGtEi8dRdYnX9YnmG3OsrsQqpFveXn55OQk/epttzW7XBFjq2BJnkCoJHtrWTGMSnNuSm+5znJyh2zJ69hzHgCYKReUKy0soklEiuwsUxnGVC1zxyIUhDkLyRKPwhoMBiORCBFZt9MzE2/TxbiiJVH/w7h1iVQCYKQkLDe4XJFgMBddu7jOcnIEveRFewUykSV/5ywZAvopsaxjYBjEjl2Ox8b0SoRpTG/6xXI0ckxwy6s8brrpJpfLpVm7rLGipdRWOm41dvdvdEqYdeE6y8kFXq/k9XrxT+ep5LwCGsZ7f9QUmasg1DtC5xJTOcyNFtmPpprzqyQba1b6wyWBGh+JO8u+ovJy+VwolysSmlQ5GtHWEaEhF55A4cN1lpNdwuHw88//mPTn3tm2qLJyXHVP0g4m5TFVW8TSIgsAt9x6V8rjZGMlyvQkB2MuRAphdadWedkg8SWhs5IkyuLW1OKaqxUtEeDtdLrPILkxDcA2OhsKhfJ9CRwVaK9gX4f4aLPnuH/A7Vwliz3PXIl+8vHvWIpoUYuLSqrdTr2YcTjiX7HQzPou08tt2QNk9hQCWcMHZcSa1kWiBl2m2rhCDudP6yfeFhx20NmWlpYLFy7k+yo4cuj02H/+u5WLF88bvnwCJYAWWbz9X7FQPidRtj5GLIXhiF9fZMHs+i52cxaYZbGohKnDp/4VKoNWxnQLlot0uSKhc1HiCUi59UuXhEpyc8Lc5HVZZd4tx06Ew+HOTi+KbIcoHnvOUzPvevFkSNZIG6fJkjmysmCWiCzu5nZ6UERQVvTRV7FYb5R0VqJYdmPfczji1zJPWN573D9w3D+AIovfFhLAmniRGM8qRhSkhxhP7bImsd+xz/6U7RPZIZ7lWAqZV/Dgg80zAMWToeGIf40n4RjQBQWy0JXsc/Fa0R8D/y5LJyDiKDMfCMMRf2Ul6CxG4bmGI/4bN1YCXM/4K05grjmLyIJWVTcgG928tBbBZgkOhwMHvJoC11mOmchKaevqFhZPhjB+HBtb5K6B0LkoqietsESF8SConiSdYKZcgMkQqip9C09ElgguLt2M/IRJdMbGFjXXMIls7s1ZWltB22k1BsuXM1MuAORoRqFZmGs1mCiywHWWYxZ0XgGmx5Lbc5TR5hoPAJy4eBXiYaxQ7widC+E+tPQMR/xjY4tQYTEWJkqqqlBEcOnwVqh3YK8prbCXPQHLdHNWVemUq1jgNrmGAtLMJxPonXOVOZAgJwatTgtah8O00ZNcZzkmQHsF+5NLaVHmUB+P+wc+V/35mnnXcWMw6CyGmAKiUpDEA3G9g+7IR4QSd1NKJ0ayuHGJuwR3IAen30I8CtOrtgxk7NLaqgxa2Zfp0jqplnYHAoE77rgDH+ds4LaV4b6BCjfffLPH4wGAdevWqY7F5WQJryR5OyUJJJJXAJOhmXIhtmDtcpy5EjNk13hWzZTPmwEIBsFVD6FzIYw6BwcvVlYmEg+IShJNlJkGsrg1dC5KfAOfb2rFQg95StScvCV75iwLRFhHYEDLbCVkw+3V0e5Lly59+b99Hh/HbgUYD6pLzjIHrIx9dPbMmTOjo6Ng9kBgjg7KfgVC/ZxgEFBkIa50n3z8O7qsAF8KBp2uekA9vT4dACghji3qLwCgq4BbZsqFEf+026O5/EXOBQuTfF56hY0I98jw9BpPGuas1klpdCojUF6LSqorKwHYsq+ykYrLUaI1UkGSpLa2NrPOYh+dra6u5lPHcwnd2/D1p+7askUMBp0AERQyXKpGfflc9efdzutx8Y117sBoF40CVGH0c12uSBCEYBBcrghZJcMHytxb8pToIMnoUm1Pk9ZoAKHeIUkShr0pRVZZGaHhCVSMwADjBWRjGK3h+rdc9xwwZgebd4FXr16tq6sz51h20llOLvH5fNt6eiQJRIA9eza1tJRiK0+MUvGuE30AAIgbsiFwOSCusL6h6Ccf/+5z1Z//JC4oRKDRVyUP8L14py/UzwmdixJTgogpyQOrrBzH1S2dFTBQyI1yTwyi8eLpjcTHkA10wc4skCoBS3lqLdijVNMXwcgCpvyS7FWjheRmFCOvU+CkjdcrtW7rkSQQRdi5s62lpRTi6hkb23f5BOkhS4JQslQlSXDcP1BaOrTGswpVDF/SIhh0CvWOsbFFNfOuk+MQhHoH6oJQ75gz5xSJi1WPiRvj5mxii1Jk8QuhU/qFegfJUQudi9JlFJhEAfGqAVJ5ocT09jFppUMAc4zsckUEEy81Z4kKVv0c4DrLSYOkQq8OcWdbm6wHYOhcFJ0ELEkYG1uEf9gYAOJa1tjY2BrPKqyUP3MlyhKOEXNgplwgak4kEp9iVoPsXbTakqAVJZsopix8Qz0lqQuqR0NtxaIst9PTXFOh7GsDGlqfbqqW/odQWrAXtqlCJiSmRy61z6qDxbjOclgJBAJrnv+xV5JEgHd2tr3a7Lk+HUABJfucuHjV7fSIooiiVlk5LtQ78DEGuQBiY2MN0Y5wOOx2elK6nwBQVlYGcW8BJRvi5gDExQjNWdlG/BcFGh9cn05qAEisAHxKdlNegyRJ/b/+JcakzTUVGLfOlAu4hX6Lapgs1DvYC3PJY/1vTobSqYXqSUeEBiPHMuSZWjUwNQj3ZzlMKJO3zgxdQWcAHQMsLmiuqSClRGeuRHFpKHQuetw/cMutd63xOACigisxl+n6dECor9QfXu1yRXxD0RULHSRFQVkSirpQWTku1FfiY7pCTKh3BIMAcYN1ibtEJqMkyYFO/0KxU13OwhI1skwHGKVSX4JsdY6cgrF9DFhsESz29pDRtxuS2pH0+xxaFh7PclLT6ZU6O70ossee8yxePK94MvTJx7/DV0PnomhQNtdUkKgwGHTiDpIkYeZsXd1CjG2BSoNf4i4hN/5axLK1SAepOOjbkvATb+GVIivj4rWiqak6cg0z5QJxY4NBJ+rvcMSP8oq+xxrPqqb7vqjscUMumwSV5AsEjVQwjMpTwh6lZmO4mclFCjkLTS0cA/N4lqPHp59++vmvvRUbNtMhdj3YLLgiwSAMR/yfq/68UD/n/fdvjI9fba6pwLAUIIJ/pZcuXSsqqT7uH1ji/qt4z9JERhc+R2Wk7+6VYKiLJV64hegXyi7ZThboZQKH+7hcEXA5ACKXL59asdAzkzhUCOJZaENDVzDJDADcTs8IDDQ21szEThSSBafk7KptFkjpBPVSiOR+sWTj0s6DTscc/YMY2Fm/s4GVKw5yXxjMjk3i2draWp/Pl++rsBuBQABFVgTY/+x9+zpElMjiyRAuJfl8U3PmnMIwlh7RLEnwx8C/V1aOr/GscjujKK8Yt5J9yLJVMOjUaWvvckUwPQA9WWIHy3SZeKzEh6Whg1w8KVk6O3MlSla0Vix0oOWKoesSdwkd5+LZ8T+yUIb/3nLrXfR5lQ6vsoBN6+vFd91y613JhoN8f/LlZyPZoECxrMiCbeJZQRDyfQl2Q2bI3nPPHKKkwxHH9enAcX/gc9WfJw32MXkWbU2cK3Pbbc1CTFUT6QEACXM2HqWmuEvFxlpCLCAFjEyVzkDMgqgH3I0OM8kDslGSpHiB1viKhR7SUCZRLgyAB8F0YDwpPiB5u/jvxWtFKxYCaNRE0CfFiFs/ksUDlpb6ATx0gjAo4mWIt0BjJK2yMTOTunKFleNZm+gsx1x6x8akzlh7Q6ymBSoGHBuL9dzC7UjoXPTStRvj41cXLVq5xH2KJKhqwZj4GToXxbUy2XYUREr6Y1UMQGrz45EvrZvoIw9H/ADiGg96DpXk9p8sl8kuT2ZQQFzrcec5c04BeLR8D1pVi0qqWRwDzAJOnHoSIK6tKLvkCHTLMfIlsCRv6BM6FxVUX8itZbAkdDatU1pWZME2vgHHLMLhcO/YIkkCAOjoEN/fJ86UC+S+nix5YXoseRduRw/hnnvmoKugtZyiLAHQhyz10PYCHoQ+Rc2860RYybUVT4Z8viniDFRWjmMM7nbGLAhcTNM6NTFJZXm45OApU7VIGQUAlJWVsYggHlCWGabs1QBx4dY5FO1dZGPFjAXD4pxuGpmxE+WmMxmPZzkJ6JYF7+xsW7++Eqi2L5cuXftjYKCopLqsrIzONj1zJRoOh8lSWOhcCPOrdE4UOhdNqREIJodh3Er/SRDtw+h1ZHhafNQROhcKQuxG+8yV6Ccf/6aopHrRokUrFjpmymtcrojPN7Vi4fVgUHDVA1CZtkndvFwOod4x8pPp2+4TABKRLHoIsjt3yopV/3MlbrIkSfPmrQS4Tto46O/PosiVleOhcxXKZTdyBJkusxw2G2MUjGVo5azRV/DqmMs1P6un4DrLiUF6yIoA//zPf4eGLL5UPBkaujKFlbInLl6tq1uIsoLJBmhxkoQt6XJqQ+DitaJFixYB5dVqEQ6HYWGFch+i0agLaM4ORxxTV6588vHvbrn1rhULHbBwVVyLBRRQ7OZFrGTa8cRPCNK4oKikmm45Bto35rfcepcs4SyJcieeemqqbsXCWJ8HrQYCAIDJFUS+iQus3JO2SgjkCmXXgztnbinkmLRElvsGHKvjlST3o69KkiSK4rED7YsXzyMKWDwZQq/gttuaIZ4BGjoXJckGt93WTAvHyPC0jo4gc+acws4GKTNnQaM0i7YyzlyJjo0tOu4fAJAwZ6ClpZS+YUcngQ6icQuaBiTApOPryspxPAUxFkhgSwrMhHrHxWtFKxamiMoF0rAxXubL2DYMPwl0dsaGD7IlQa3cYbohTqGQlnQajnxzYB1wneXEyhAAoKNDPPacB5eY4h1hIicuXm2uqcBmMcMR/7x584aGrpy4eHXFQgfW1+LOJHmLpENpQWd06eyGr1ZWjhPjAuJJYBhyvv/+jd7eseP+gXA4vGjRog2P/hVeD70CRg5FCsbo8ypNXnx68VrRjRsrZa/SkSyprZgz5xTolsbSoS4t8Vr7n7kSvXFjJX4VdEYXPiV1EDPlgrKZAySrLZ1okVZ5rl6ygZWDRqOzdfV/D02B6+ysBvvCeL1eAHjlkdv3dYh0cZTPNwUgxUtpY2mz4+PjANDYWIMbac0KBp0oE5AqK5auO9CBNNYiulY8Gbp8+cTg4EVSgbbh0b8CahGMXAx9HJS2i9eK0NCghVtJMOgk4TbZoiymwLePjS2CeBmY6n9E7zAlNqVDWlo6hFEqPiWqSrbgeTHIxWI2+u10kq9sDW02YLDTTfbh/uzshV71euWR27c83ApU8la//zdUemysgwEA6WAg1zL0GQYHwysWOgD0NPTitSKAlRCXZhIL00/JwWvmXcej+XxTOCmjrKyuuYaUtzqoxK+kNyq5du0azHOQS6X3pN/ockUGBxe5axIbNdzhCDl1SiG7eK0IICGdtHtAPsPwVcxylX0IoQctuwySPyCTWsw2k7kNZGaa/nWCTlJXPkjXCrBsh1yus7MUetVr5862srIyXDTHvILx8askPZY07S4qqY6XfsmPRkwDiC++K7WJxI/Xrl0hWiwTMvpOH7MIpm6Nhi9eLSsrmzdv3oqFDlkdAXLLrXcppVMJPdJGBi3uqJ6Yn6D7LQQAWOIuwe42OoTORefMSUxbIIm6qjW7QPd7rAdZCBw6Fy0GpiRZOhkDALClAyjSxQgpLfW8YOUy37TgOjsb8fl827YNkb4waLbOAITORS9HpDlzoLnGQ1zOoaEr4XB4jWfVcf8AZsWTCBSSJfL9S0VlZWU6CgsA2IBmpu6LmLGgerNfPBnCXLGikurS0tK6uoW4fSa+J11aVgzR0tIhgIX6XzJtXyrrDoAyE4ohiikEKb+NADA1Vae/Z0yFJYDkrmAkRYyIO24nQ8Zoz4H+knH7mSvRefNW6uU5uBL7v//+jXnzilSPRr45aU30sRk5WAfjOjvr8HqlTm8PAHSI4qvPxYIszDc6cfHqokUr77knlip06dK1Pwb+/XPVn8cldaziR31U/dW8du2a6uJ7UrQ4mZQwT1ulIWpc2IqFnjNQNm/ePFEEWWqqbI0LE2xnIDX0nERVdxgv8v1LRfPmFTEcDy5eS70nKcoQH3UARIIgAESI24sqSYb9XLp2o7TUHww2k8ReoJozkBDVVQ9wJVoz73owKNCz07XOTheYqbvS5VlfCJrlcJ2dXXR6vTietqND3NchBoPOoaErzTUVVNutORCXPEgU1+K8boeg/ckfSp41q7WmT8xZoJZ0hq5MhcPhWKuBhatiofSVK8ScpTEWfQxHHIyaeO3atdLSUpZjxj9XUizoYT4ZxHWc9oJJfI3/Xr58CvMcQpOxDDAy+hfTeyFeSaHjgSCkFQPLemO2Mdi4NieWgZanHwqFTDwLzzeYLYTD4Xs6YyKLzbcAoHgyFA6HsWQWxxwEg873379x3D+wYqGjpaWU2HZkWrtqQJTcF0a+nebatWtYkhs6Fx0auoKZA/PmzWuuqcCsLFLmGw6HtTJn6Wv45OPfsXmLklYCKX00fOx2Mi3QY0osS1YQJh1rraoRpqbqyMA0WcxLiibIGVkEFPchhbzoD6j+l/JQGWLtfDAVLly40NLSYtbReDw7KwiHw2ue/zGuej377H2PP74ct2PnrVtuvUsUK3EBHf1Z0r6AlE6B7h926FyUDlRBQ02CQecnH/9muLRkrHcRAGBFLMkcoN9IZyDIDkgfmRRuGUuBVI1lUoaK5L3K69Fi3rx5WqcjG4NBZzg8BgsT89ZobaUfJGrGdO/3aesWP0GJKawkEWIXYKcu62MTnfV4PH19fSZ+/tiJQCDw6KPHJIgV1C5ePA9LP9F+XeL+q9tucwJE0Dqg/VkELUsskwU1WcE/4DmS5HZ6tG6ig0Hn5cuRsbGLRSXVAOMkOYwYETLXtXgyRMeAoK1rst20GBmO9SvQ2gH1LuUnCqF4MnTLrXcxt2gA+jsjSyMjB1R2JlPe+NN1wAApehGQtTV65U2VHOTqz2ZsorOVlZVHjx5dtGhRXV0dADQ0NCxYsCDfF2UJzp8//5V//Ecp3uFwpnwe2n84OwDwHnkyKl32X7tWR/xZhMhBfCFFXVPQBIgv9SSBf9g4OqyycryyEgAg3pdWJX2VPFAuMamm6168VlRamriVlrmf9GXQg7n0Q1GSJab6xZIjXI4A6K5B6aB1cHqlDtHScVIMopVSRufelZYOzZQ3y0ZCMF4SjQjwto1mdiEuVwQ+q8m2ENpEZx0OBwAcO3Zs//79APD973+f6ywAeKVYQS2KLMQ18bh/YIm7ZMXCVcMR/8VrRRjV1tU5ZwCCwYRXgIvgpBsWHlNZ0oqPZRqBdQ3Y8Nvt9LhrQKiv9Pmm8A5ahjK4S7nERNascDe8Zp2gjHEwFyMuV+TSpRtkuUxflz/5+HdCy1/pHxDlr7R0iGX1Zzjir5nnCQYFfXFEr+DStRs18zwzikQxTi6xic5Go9H169dv37493xdiIbxeqdMb61rQ9WAzzmcNnQsd9w+g/erzTX3y8fQS96k1nlUz5U5ZeVIi1TTeDQtLmDCAiifbJ4WfJHpFeSW9tMlu4XAYE3X1wdQFkmOrA3bz0t8HtWbevCItVaK343AEliwxlHgUOx29k4XSqpeHZcHvv3+DNrh1dlZethI6hwHAI7N6OTnGJvkGDocjGp0tRdwsdHq9MZEVxVebY7mTly+fOHHxKg4DRy1b41mFXbiw/x7dmIqkdsb778UaR2GDKDrhHwCuXbs2Z86pExevnrh49caNlWs8q0RRFEV5Q4Dr0wHsO5Py+klbQn3wgPhYaSyQx5jkoG9BkgA55UlJOkTKPREMpbXOTofwjC210moKg3D7Nb/YRGe5yBI+/fRTkiT7yiO3/93frcQ49MTFq1NTdc01FQAwHPFjHS1Qi9p0agHB5YrgcASy9kLXYuFGSZLQ6m2uqWiuqaiZd101uwtXyRm/CpbbfNVQUVWdS0uHlPvQiQ0EdvWkJV5HxS5eK0KrROtjg7xXdpFaaLU91GJkeJrxs42TPWyisxwEx4CTJNk6t7Nm3nXsToBJVBevFR33D9y4sXKJuwTHIqAhQHeBoo28eLG/AHG/j+xw+fIJHAYzNVVXVFKNHWdIW0KiwlRcnMZNq6qNq0RHjmlloWfcKl8FSuxo9dQ5MrZ/ZLlC1ShVWW0cDDpREFmOSazwlFEqverFQ9o8YhN/lvsGEBdZMhBhzpxTACVYybrGswrg+omLV3HW90z5vMHBRc01RE8joXPR0GQiDZ50MIH4vAAsGC2eDIUmY9MMKytjabaSBKWlQzhABeiFMlciZ7MYolNT0XnzVuosxaDiu1wRXOdJWWeVssSLuJmMM3JSeqk02JnFxDgx5amTI1+R8exElFNmULBcJMcYNolnucgGAgFaZGvmXR8Znh4ZnsZhMwCAIS3WuWOqJii6N2EQSiaqojmLoWXxZEiSJAxg0R8QRTFeiCXRg2pc8bbf2DQ2GHSi84udVckZySCAYLx1N5FCbOqakqmpKR1Dk4gsScVlgXFPdANYShXQUQFFTgJ5L7mTYDl1/AjZqki1bP9WRnCkmAWxic7OcmKVCJIkiiKKLG7HnKrhiB+Xv1DmUBzxthfVUGspCW2EOXNOvf2T3xz3D7idHrJuRjwEAtlCFJZswePgzXsoeXQVqQTFm3GUeJabd1V0nAGdt9BZE4zvxUbgdHIbrZsyDSXtelV1WVV8dS51OOJ3O6OM4SfLWB2adEfM2oDcBPJcZwueRLmXKB57zoPVXJi85XZ6jvsHAACXvyAeup65EiWBrbLxPmkXgBlaALDGswqDYqBSvlAfsUIBG/7L1tDIEAQAvUokAtFW0nUFdOcyMK5ZpdQaWukYfWE0DVL+iWJZML1F6y1kuYzx1IzgWB0WKYl1qMhOPGtsnExuTpSbFUKb6CzWKcxCYvMT4yILAHh3DwBnrkRRbbE/C3lL8WSIXtpWtiXFBS40YQFANmYRqJg0ZQMXOoFBv0qVFuKysjIS29LZqcRtwJ2VYa8skERYUrXIniyZVcGgk7gBiOxvlX6q2pDX8Kkhjb45AOmIclbDOoP9ugydyJp9wW2is7PTnyXlXjg/ESC2QoWeAHFmZbfqZIQf+XMlUks0eo1nVXNNhdvpueXWu+golVZkklFL70NiWDwjnZYLulEt5jwI9Q4S2cmcXNl7cc2KxLxAabrMCWXMlwLmAJnOhJNtBIXm0jYuIWeLTuxfO1LovsGIMJ2uP5ubn4VN8g1g9oW0tMhiJQJW0wLAyPA0uc1XQjSRPLh4reiPP/lNUUl1c43HnVjQguFIbNoKVoUBJZTkARZQaRXOY+puaDJxKK2QFuvxccQLvaqmQ2XlePFkRWgSoNyJfVJwiEDxZCgIiWmSqo0XqPMmRFnZxkUVktSVsv/WpWs3ZK8q5Rj3Z2wShjnI7P3J4t1zWFkSOmvZSTGsAiqBBDAiTC8JleC/uFnVUlji9t9W3mzaJWpjH52dVSGtTGSpUlemYiGS60PeqNTlmXKBVL3qxKFz5pwC8JAd6NEsQCXkMv6VCPWOsd5F7hpN4SZcvFY0Z07sLaQZtqxQjcw61Ok/QDRR6aXqQCd1yQ5OP8baXEEj1CWQ5TIdh4GchT2fjG5cKzuIErNsStWf84gwvUQqkcSk/VD4UA1xG/048d647UD2T7ym+okgAgAsATQQYjaCBLBBrf1NyOkRXBH4LPXXlSE20dlZlT+bmIkgJoksUcxh3RaiwxE/QB3xB9wasSO2j9F6FRHqHSM/SdqH1OYCVe+Aa2W4m5Z64vyV0CRcnw4AVNC1v6oh8DXfFAbIJEV3plyg035J20D9YV8k2zc0CWVlZSk7dSFkzSoWRycfkByhtHQIQOU7qMzrUHbqUoWkDDNeJ+Nh8YCjo6OS7GolAFlsKIAkaS43EaFkUcMlceEjD0QAuhmYlPxulj5hI/K36F1CLrGJzt5yyy1HjhzJ91XkAiKy+5+976FV1ScuXq2sBBRZjEmHI3r33XFRHlrBcJeaEiKaRBNJCEm20PsAW+KB7OCqpQ1KCXNRY1pIm5uYfGsXR2D6RDA+z9HlSj2x5syVKKmPUB42YU+XJywLfYfBMJkfgeByRYLBYHyMfJx4bAgAG6BEAoBhEEU9yVN/KVQCYv7FLo/YZB2srq7u6tWr+b6KrENE9vWn7npoVfVx/0Bl5ThJvcJ9tHwD7GmAjxkNUJbSUrzXJppIL4jJDhU6x5T1iSdVLqmTpTD8F2sZZH1qcDEN19NwRQ6TuujdZBdG+pNdvFaE3xatlTealLkBZJEQUVVD0mYB83ZZ+m+R0gy6RYMWwxEHmePA6OeK2v9BBlFhzvK6LItNdHY2QHeHWbXqv6BoYhirH8CiwmKVAaPCQsxeSE1l5bjOqynHhensrArxE7CeTSmFslNgAqnsLDIlxWPOmXNqOJJo4EBOpzyF6iK+qpCx3LbjG9OqJmAUzRs3Yqtw7GYuJ0twnS0MaLugzu3EoFV1/YoEoSSARYVV7pA5KbUY/3ovXivC/v86f8wof2RP1eOoOg+kSpjUTZAtWqeju47RXbvczqSkNPrstC7LGr6Q5Sb9k2rhckXYM3wx80y105gSZU7ubOjaZU13gutsAUCL7J13xv4msaZWticKH1FYZQDLGKUiLMEvyz5Ypaq/DwkqcU/VCay0hKFfQesdsRqodbDEG5VWAGktphzAlbKegnggxKOQ2dD4qn6Jl4HMTZ1+u/qwp4LNNlS/LT6fr7a21sSzcJ21OkRk93WIN5dcJW6sqsBh7xidHdgx0Ew6Q3TCT9kDiPsVyoQEOskB1L4KWnPpCBSj1FC8tY3OddLj05VzG/GwLlfkzJUUgS0RSv2Z7fSR9Q8og72XLkeJIAgmHs0m+QZ2hV74qogvJii9Ajp/VqdCAclQf2lSJn6ltZvWnsrEA+V9vc4xSQqEKvRL9GqeTvNG+jF9PZg7DPGWOqWlktvpCZ1TPy8Je8mYW2WKmBL2PC0AuD4dmCmvSTn7h5MDeDxrXVBkRYDXn7rr1luioGat6lgEtoQEoThKh2zH9X1ZMAsARSXVOiJLv5f0qNW3WS9eK5qaqqOENfaAmBVko35vAbqOAyj/QSukVW3dkPL4sgIKbh3kC66zFoWIbEeHiCIrU1JVhU25xsXuBpi4XMYOY0UWuszK0JKWSBS+ysrxlF1XcP/KynFZmq3MYSASL3NdtXRZ1mtG9bx4bbJKCtKQVyaL2PmBXS5lwa+JybYWJ5ROwMH7dc1eiF3w1FN3VQiJulj9Za601rhMgVGL2SVbP0uMRrmwpmUmpIxndQ4CimwzsoiP6Q2yU4SoVpDK9+IKG/mPvLG0dCgUn27pckXwyOT4dORLpkkyerV0nx0i0MrQ2GZxrpDOHwLvPztLofNkb70lSvIKSDdYyMAlSCtgzDEpF47SRStLTGtPpSyCYqlNljxLr9HRgk76KtCqqprzQE5NHNuZcgGNCIx2yfQ2zAWWdYlUPiaUlg7JyhlYqhtUSStCzBJZugaXKwJz52fjyDT2WQcbHBxsamrCx+3t7R0dHfm9HmPQIlvndpIwllZYnbfn0qJl1GJ2yWZv4se+sIZtbvT3EeodcyTpxo2V5EZe2aWB+BJjY4vcNYn3ytboaL1b4i7BXmXkLMoFPfo4uF6HS2Ghc9HQJBRDNDQJpGnDlK8OnPGOCi65SUIuEv2Bi9eKAFaqnovALrjKCFFH9YSIP+T00P8uCfnxLXgc+kHKM9KH0nkL7gMwIDuLzv6QztjgDLFPPFtbW9vd3d3d3d3e3p7vazEIEdn/tb7yi1+8hcz1Ao2ShHQZjvjZb8zzsqpm7knnzDnFckCUKqUbIMttCMWbi9OGr05Fr/Issp1xxQxThskyGtqyJJ7FYBb/xTwtWZYb7kaiYNlJ6exg1ZgXcbkiOiom28gYVxK9w3/p8gEd+VNCDpLyLbIPA333IMcRun3iWUEQWlpaAAD/LQgCgcDo6CgAtLS00JHsF794C8T7ybLLK3uUZxaMsligiRBaqkQ3ypGlN2BvQyxsw7aNBGWnR5lxjMEvNr4hXgGCgSfJ05JJdtJxXA48TqyN72SIRL4ImdgmE32B/sKdHqB0ihYsxskISo2TAETFxrQEl5F0zVm+DmZnJiYmmpqa6urq1q5du3bt2ltvvZUWWa1ag5zlAOS+SCEt2BvFMmLg66Vv2EExnELWVwFDV9VAGBviKCWY/k8ZiioL24jDq1rPRtxe0O71Axr+AEphyOmRmDvCkLcAFTnSD1L6BspDpRRQrdOpkpYcZ4594tnCoqWl5cKFC+Tpf/7nf879zzeffPLJOrcTGGoNcoaOuzoyPA3u2KvKSeDEoKB3S2zROiYMMF7YcX+AZbd0Dpi0p+pHGn6ZSd8T0tc6AjdurJwTOeF2ekLnolNTdaWlQ9iIa86cUzeurZwzx++mnGKicdhvFx+rllQQKSfjKTHmxca7JD7FUJoM70EfOSmhuFwlkpXBImexq9LYLa34lF3siEWr8xbapjBwiqxiE52tqqry+y3xDWXB6/XSIkvw+/2vPteu9S5VyZNtTCGL+EAhPaqawr5+5XZ66KWhOBXkdLKoXMvcwKmRLGfU77Fr4IDH/QNN930xdQZYpX9srNrtrFC9JPrawuFwabyTLcl5UP2WFpVU0+ucSpZESgBgbGzR9enA5cvjiWNeu3bpEgBgv4uiGkjYDgCJdun4VGbdohwnWQfU95O+nZe5B2n5BuS9I8L0EoYu3XKkhK3L/gGQFjlLKLaJzlZXV8/MzOT7KlgZH1dfjBocHBw+sR/iLZHV//bcqX/bVDXI7WGVJ1ATR2P7ZINs5JyxlI0hlZXj5COExu30AFwnuQ2VlePxLQT179XI9IDbueq2+wTZjHeZn3tjUdH4OBCJv3gNACPluIifuRIlCRtYipaI0OPfsNgHajwGv/H+ypp512fKBaLOoHHfHVNeSj114lbZG4WIn6gz4019nETKAfNbBmSpDvp7z+TKn7WJztoLye1sh3jcJ5zYH9sKAACiBCCKynBDAljiLhFNWkjNSzFYXk6KaKmnYdjXJPGrpjPJENkK25w5p5pr4j/0ekdNbDsl5fMcKOX4ruMfJ9wnOlmNBsWaDNnUgg4kR4RpEUrYf8dQ70aE6Q1QAslhcpZW/NM9cjDodLmycSFJcJ3NA4sWyd1MZMWKFSCKIkCI3oqjRCTtQYbJLwmiPKCg9oRhkTWktQF5FG5TSIpnb6wcjpwiEx+I8SrbjTwlTcVC56KxSDkupkR2ST5ZisugfmFS+gZE5pRhrzI4MBf2tTXIptCrwnU2D3R0dLz22mtKi7ajQwSAt4enl7gTahj7bWiO3bWp/HKQmU6SBMnznYSIXy7QUpIQJ3ag3qiU6Ux+I7MhduZ+VJjekzcbXLt2DedOIjrNbujujmR9LNmOCJHHKROblHqk/8ugkVQwQMSXJDCYixDxS8kfAyzXmbPeOlxn84PP53vooYcGBwfxaXFx8be//e0KIdYvBjsYqHbylkF+mdwAw6L8dyvk9AhJw5wlkfIccIv8gSgO00sfkgQAAjUuOtTcjg+WuEvSKhPSJy+VvnmH3THHuZM6PR5lbXQgnloQOheibQE6CmbpxMhodKYk8w9sfWj72KxrNhGus/lhwYIF/f3958+f//jjjyFeW/H++++PDP87uP1upweXrVBtIYMwiv5tGxGmZcchokmXOQIteXSwrESxURYsSwAgSbTW5+y3P7/CzRjFu50edqkF3Z44JN8LAOJFt9dDyePZZZ4vsCXqJ/3I0hkLo2oaZJt0Fs0AcpVywHU2nyxfvnz58uXk6T333HPt2rWR4d/FpDauthCvDcvelaQuuGxW+8UVU/3ZoRBTwTJ5RcXTABGaIWkH8+IpfVjTMMyuuGMXWVlfBSVaEkxUFYVYKbUpsVpsmJL0YufPanKgglxnrUVLS4skDY0MT49ALPcT/w5RcDHn3zoLWaktMG0dDjk9gihBktJKSclPlGURMy5EMeT0oNiprqVYRA6yEUrT5QwpUW3soFoGZsuOtFlKts0ErrOWQ1yxcWzs19enA7I0e7fTg8mzmZsJOUZL/kLO9kQAq/zDkAXLSuNCuaVZIdP5sCzYSRmlaqE/jIedWDkZJIW3+gFszpb1MRssZOi9jLdBwaDTZWY6nyZcZ63H3PnrH7hPOjM+MjytXA1Tmgnk1Vz2kclGyCb3jmV/JM3yV4VUpoUISVqsnmiBT0GC5BVCOiBK9Pdjtm6mpuqAYR3bcN6uKSIrS0Ug0LkBoPhBpBUtZvjZlq+Pxo8+ulRRYaYAc521JHPn33nn4wBvxebXxr0CoqS0mcCYmWBxDHxIpPgjVFRzyPfXTkxWUWGAYTERfqZMtMD0gJRfAvtXbXrrHECxdsW7LFJJJimXkix4Z6Akk4v86KOLYsq1h3TgOmtRbrrpJpRaiLdiUa+mpTITINW6Sl7y9q3wAaD8k0tsafaM+AfcyW0QVINlt9MzBldjT3QTLUACAIl4ysprMHA3nVbkyyjfM+VCMBgzDWR5ryYq6TBVd5t1zNRGM+E6a11uuukmccVG6cwh1MfhiF9LKFFtUWrtEd7qwPhpkaGLoio0ROwwH07n9jnx904UOdk7RhVeAiBEzoKkXkutcyWmgFUMWq+qqK1kXSGzOFxnrc3c+bW1X75w4cf4LGW+gYmJt7MHRuFWWtKaCihCyNlOnqkIFp2VLKkdKtm1kOKthYB4Gsl3tYa1WLW5Ad3yVXZkEQBSRbuyd4kA8uDfMrhcEfhMZbvD4YhGzZxWx3XW6pSVlRGpXeIu0ZFaohdEbTE/zN7hrQWRhdI6rsXYokXuGjU3QJ5rodhBZlxQwbJwYv8SAOHEWfpQWrXUpLpBK08u3bpbe2CuyIKddNblckmSZK57bRHKyso+97kv/fGPP8WnjFm0qLYAifA294NtOPqouq5qLSySkh+SVFU1H45W4eTgN6mWWhShXoR39pP9hdeeTRyEvCXNPynZ9RsLZjNMgLVabYV9dLaqqmpqairfV5EtFixY8P/+X3P/r38JulGt6jqYTiqYdSj03lrGMJw/S1APlhWdLpKgluaE5FeIAStJkorFDAASyN6SFHoruhEJEb8x30Bi7imuCovIxnqVZX+oONhJZ22Py1XfdB9cvnwC4r1m0iqNJ2UOUICVDtkjv826TO97mxIVXW5uB2xz8eZ9YkcHbhRlETFuVFsJU1VkejfcJOD/qYmyqia6nZ5hyCiktRRcZwsJl6u+eDJ03D+AwSwaAukOEyto95ZdFq0fIOe9H+NMuQCQVHdLp7sltsabDeEvWyj5pl5LkRM70CdQ21kgPezpPUURAIQTSblxoB+oSuBW7cKhTW6afAPX2YLjL267Y0nED8QicCfqFFB5GY+jdG+Bh7e2gP13wHBzA80GQ3FFTrqeE34ASZS5xpCkuSoOsIZxISQHy6Hnvp90rnTu8HLTeRbhOltglJWViWJH6NxviW8Qy5x1+93xHitaqApxLruCzRIK5XvI0hTRBEQAEGXLdwAqokyHyZIkAdHTZDuiEFe6baWzP/rRj/r7+++8886ysjLs6GpXhPrV7nMwfMKPc2iIXWv4gPKuYACWagzGyTs5KOtSNrqNDxNpx23u+Egnq7XjSslf5PsCTCYajXZ3d2/fvj3fF5J1hPrV7mbPyPA0yit7B1X9HdxOzxJ3CUZkx/0Ds3PMgSopv3W2PDXBrdvlMsfg8BulV2uZC5RjK5194okndu7c2d/f39/fn+9ryQVC/eo1nlUgxSpuUWozF8dYbOv04Arbcf9AtgU3v2qex7A9S6fO1ldk2bouAAAYEaYtlTNLYyudnYUItQ3uZs+SUAlKLYaiJMjNHFRbIrjEneCWgs0YjviLi4uzdHDL/ra4KipzcyKuswXO3PkxqXXHpBYA1nhWjQxPD59QkVrDSzQkvAXuJ+hSoN+ZkeHpuro6nR2GI36Dt+VS4dmppsN1tvBBqXV6YnViAACwxrMKRCDKS5PhchkRXGxDXqCywgFsIpPOoDCD6BenaSFZNwo2ANdZW6AmtfjUmBQaWC7jgstRJyfxrJDLLrfpw3XWLsSlFiARxmLsaaJdK8Oy4a1FLkMf9iyCtNweKyQn0Bhensq2OudyBiXXWRsxd75Q2xBrCk6Zs6iDuAVrGUw5G30c2XKZdQQ3JVZTJeti7Rt5y2YaIFxn7cXc+fPm3bfEXSIzZzH5MQfyJxPc7IXSuadQqryyRy6Xs6ycpGUA++hsRUXF0NBQvq8i/yxfvlxcsZGYs2Q78RCA4bY6c03B03ED105YWfiMp0PkBPvorCiK4+Pj+b4Ka0Ati8lSDmK5WTlMOOcJYfZgRLCVwaLffPbo0aMrV6408XT20VlOEtpSu8RdMiKkXrMyVxDpFbPCMnANYGUfkyYYdA5H/MMn/MMR/9XQ2dRvMIRl0wD0+3WVlZWZeC5b9ZHhJIFSewGwdyIJKt1OD4T8ILLOv9GCfXwhfQpZP0b243CygdvpgebYZ2okEon9REIleA9uzgdG+rfzuUnS4vkGHJOYO1+odyij2hFhmti1qrUMOYBeMRsZnrbTipm5ZO/bQoTG7fRUCA1OpzP2E4kr4/AJf+zm44Tf2JUIEb8BkypkqGdNup8KvP8sx0REofZPJKol0xMwzMSGisqhYYwtw9Nqq6wFdivHBTrecTxzTFnDjD1qBjeAEPFLADAMADB8wo9GLTmLqLs+RjWRndVwnZ0FzJ3/F7fdIV7wQ3yAI/2nmJA5ykPIcWiJ11DQA3UKjplyIRgEHCquT8jpcQNAyI8mgzu+HX9JJAlGhCT/J/OfmpFfPwkEMb0ZtzlrIgNcZ2cJZWVlsGKj+8JZlFRZyEOGMoxAzMZ1Oz3H/QN5GUKuauDaUnDzbky7XJHQJNOeqllTsR+KQnmVMS+H6+ysYe78mXLBDYmbdLcnMeZeiPi1PIR8wVfMskrxZAhcDnOPqaq8I8PTEJIrr+m/YCPCtNuZxkDSYNDpyuGgYa6zswiXqx5ckiiB27MKM6tEiEltKN7bm3gIYIb9mtZoSJ2DEMElM3VA92/VlPPanmDQyeIbZEjsDin+VCvmzfFHu8sVgc9ydzpb6azDYfLnsx0RQ86oEPHHOnu5S8R4PWXI6RHowY4AAImAl0B2BgD9sY+mgx8D+Jh7uDnGrO8zHfPibxeZAYo74G9mtu9dchzP5jOvq7e3t6Ghoaio6Oabb+7s7JyYmNDas6urq6qqqqioqKqqqru7O5cXaT+E+tVEOkeGp2VZN0LEL0T8G+JzGaT4RqAeEEWm36V6ruz1CSvQtjUcGnIXRX6gJMsbpzGRH27Kum3LVkMgeYtnfT7fhg0bHnjggTfeeGNoaGjbtm1+v191rldXV9euXbt27NjR2tra19f30ksvAYBy0qLD4YhGs9+02BbguNwRGNjgLnk7OaqVQfIQiL2AQpx0NOop7kaiYMb1NMMqqeXh8iDXXAzfuBh4YyL5JL6F/HrolVGkkz02Uy6kd00Zkzed3b59e2Nj4zvvvAMALS0tdXV1a9eu9fl8snngExMTu3fv3rFjx86dO3FPAHjllVeefvrpBQsW0HtykU0LoX71kogfAGipVbLBXSLF01pFNXlFkxconxe304aD0nyQkXl6g8zDHYEBAD4avVCRqTP5IZKNw/HfPZCoxgvMP26XKxIMOrWaG2SDvwAAn89XVFRUVFQUCARw68TExM0331xUVJS9m/TBwcH169eTpyigfX19st3Onj07MzPT2tpKtrS2ts7MzJw9m61y7NmDKHag/G1wl4wMT7+d3IlVpB7QHoIOslCXPKXFFzJrr5fyD4nuE0Zaj3NXwWag1eB2etzNsR93rO1yJFHAZqmf+1yIaxwAjI6OVldXA8Drr78+MzPjcrmUt+em4PP5AKCpqYne2NjYePToUYxbCai8dJBLFFkW+XIMINSvDp0DNGQlAEkCUS2sFQFEd8nbw9MjABuoBQrGxQraTJBFu/SqGguMfznk3hMgqfAB7G4psCuLUO8AYM2fLYiMOvzJKmNezFGh3YZg0JnL5gZA1sFqa2sBAINEvFUHgH/7t3/L5aVkiMPh+PDDD/N9FYUHWRYTAUAEWVRLx7C4OPY2Q2ArQ9KIZFX9BFlErH64VNByQy+a4eqKpSIde2NAoDEZJvNTk5gXf/ru5vzUOiIxnV21ahUAXLlyBQB+8IMfzMzMPPDAA4UVMDY1NQ0MDPh8PknKYXdVWyDUrw7e1gxxi0BHSRMeQnwPw3NfVJ0ELTlO2mK0Xp7cZoLFpplZnBx/l4x1E2e5TSHKC7ltIgNEZ3F0+9GjRycmJnBB/7XXXsvldSAVFawpbaqpsqOjo9u3b3/44YfRbq6qqmpqampqauKpYClxueppqY3daqmFFSL6uYLcz9WCPTYZVni7dOqC0vnV8Xn1x6AlRbg8MyxrGPuW5uAH4XJFctncAIjOEqv09ddfB4AdO3agUZslVFe9BgcHRYU7iCtg6Ociqt4u4vF4+vv7R0dHr1+/fv369Z/97Gfd3d3d3d233HKLyV+AHXG56sO1XwYqqgXtcJUk2Gb1kujwFjVXTL6klIKrD4Y29HwdLriq2MzUznEwCySvC4XP7/f7/f7i4uJnnnkm2yd+4IEHDh06RFa9vF4vALS1tcl2a2lpKS4ufvfdd4mJ8aMf/ai4uJjF0yCqXVgGSB4pKysL3tbsunxCBIBUMkoWx94enl6ikRZmIvpimuGIQLKEQtcm0etmXHytTI7rEg2QqAerra2dmZmZmZnZs2ePLDU1G2zbtu3ChQuPPvqoz+fzer3btm174IEHUBkxz4zEsC+++OKePXu6urp8Pl9XV9fBgwdffPHFbF/erMXlqvdN1UE8qgWGZacloRRZX3mc3a1TUqEKvXIC3MYFADuOXs9xsgHQdQqCIABAbW1tR0dHDk7c0tLy9ttvf/Ob31y7dm1xcfGmTZt27dqFL5WWljY2NpaWluJTzC17/fXXd+3a5XK5Xn755Sxlm3GQvr6+PoCdbYtEAAgl2iCogukyG0Al6ystspE5pLQdiNUr83xVMx8M9K/hyDD2vbLfdzims5IkDQ4OAsAbb7yRs3OvX7+eLlUgiKIoK8Ddvn0719YcgwYCxMNVCJWoptaS1X/MwFV6CCLASNYvNjX0qhpJ4yXQKqyEnvgAlKugJQemjJnIAVnv1yUBNOfiXWl9SOtPukVGR0dJnGcKc71e7/j4OCbM7tixg1uZHOwU4XLVBwEAToAEG9wlkqRZxQBSTG2Jq5tJYMuCxJbcJdtNqxqNpVbC7fSMwEBKG9eWGL7VGBGm3an3Mudd7LAUKQSDQeWafCbMfe211y5cuAAATz75pKwWizM7IZ0iXK56ALgsnQAAUQRVqRUBJErQcHFMGdiyKOPI8LSYj7oj1eY4sldlKkyXHsnqzRixgufLMk/BCtepT7pXmHtzFgDmHjhwYGpqqqGhIQdrX5yCw+WqhwcBLsek9u3h6ZFheaw6IjTINFQW2Fq8Zx1phaOKspKCriEOYep7XHCBrBq5/aLRlHtOtgkGnS5XTs/4F6IotrS0cJHlaEFKGCAumrKCuyWhEmWygZjYWUp0VCpwlDVs9L+Yq0B6mryt28VGv5LCHhgzHAqil0K65LPPN8eaKGvtXK56WLERH6NvwFjcLIrkDan2ZL48xr/DHPy5yvpA0i9hctgGa7cNY0zXz6X1bOxblO4V5rgYDGw2t4ZjCuqdfOfOhxUb4cwhQK8WREmSYqUgop7/mih5kM6CuYsL+Ua/3zk+QMNaNp2F/gxI2Zw3SwSDzuLJUMrdDJcAWO1DJb/weJbDDEotAMSae4ksTWmRJaGzuJQ2O5v8YMWwSNX4omkwHPFrfT8yrHCbPRSE/cJ1lpMOyVK7xF0CkpTU014NMb5WJoriiDCtJbaqPq86BSvWRHDptUR6ChbZTdk9Jy9kYr/wIgWCrXR2dHQ035cwC0iWWlEUWWRvSSg2/2KDuwQDW8Z2X5nAEumkpSOM8s4eYSmDXNRcMv5SOWzYROVNOSarIO790/oJxr7kHE6sQeyjsy0tLcFgMN9XMTugpBYARFFcEjqbyhAQyeti7C0l2XYRLJ5PRqCDXLp52NvD06TkVzYEKHO1dbkiLP6sYYzdzmfbBMhL8izYSWc5OWXufIiPFwMAgJghoPeW5BdjqQjpa60IKWwKQiHmk9GaS7wFnN4mUZMpgEopkyU8FIRfaRYFEXED11lOJgj1q0nJ7ZJQCYCoKZpqeQZx2yEutkwOBCv2SGwgXdOIsUAEF9SqJ2RvV07G1DrR1dDZ+fNV7qbt55bmvvkscJ3lZEo8swtAwqStdAeIkcAWrJ2LkA0Xgv0LVga5b2to7pJQCWl/Lmuao7O2JknQ2Ngo25hJaGzNIoXcT2BEuM5yMkZMNNIUxVgSgkxB9GsV4oGtyFgAkUZmAguMx2KLkHMQR8s0F4Nc8vFGuyW0q5By9sTkJNvwWwZyObEm7Yj7sxoDZ8kQrrMcMxA7QIyZBphay1oxRh8jJlGSWetjJsuxJSGCS6fl0nEuoloKQecblJeXl5eXy3awfglsoZjRXGc55iCKHWR0c0Jqk3WOtVZ3Flc0GEbUMnMlkNhCRVk8WyhLTAUB11mOaQj1q0ncFJPapLBWZLxDl6+PqZIH46Bg6iOSjAURINlbIF+ELK9LGc9mAi9SoOE6yzETmdSKMaklhkJKoUposeHEryQY+teMCA0ZnEAFUpRhChkavqKatzAc8bMsuxtWvZwlz5o+SSFLcJ3lmIxQv5r0UYT4AheKZbqKphnYWj1pS2T5aMi9+0k01+30pFx2t771acDZ4HUK5tDU1NTe3t7V1dXV1ZXva5m90C1rgaR+SVLqQE8t5qUCW/olBiljk2Nzw8/8YpEPIGsmdUGekmfBfjrb3d1dV1eX76vgaEgtGMyRFam4WJLSUhOm87HsxNRG10ZYP9nAALnvPIvYrf9sS0sLHyVpEXCSIw7NhVhIinatZhta/YowFGvT0r6STjvr0B92m0mygaWTZxkIh8OmH9Nu8SzHUtCDGCgyUkoRE78YShqY5TMLUSrjIdl2y4az4XJFUvbrsjhZcpBPnz6tLI3LEK6znCxD91HEXgipVJIhKSG+pzmxLWvCWf5gWljLBFny7MjwdCahogWTuvL7oWI3nc1GzM/JlOQ+ipBCahlVTwQQ4ym6emJrqkJlXe9yA1bf0ovvJibPWjOpK/bF5iOpC2yms42NjadPn873VXDUmDuftEGIZdPqSS3rXXeiMUKO6seYCy0sHyHrr7zbbxEsX5kGiK10lmN1xA6g5i/QKQTUPoyHoh6KiYIIhdoyRMdpyCK7w8D4ZZgvx5l3dciw4jY3SV3pXqTLFcmj1HKd5eSU2tov09kGZF4u0cf0ZZYcislGyBWpLyG9UjQLfElWIy0/Nxh05iupC7jOcnJMWVlZ8iCGpGg0w4Mn2wisxb6mZ3WxHzCPJRL6lVGGl6RymdRVQHCd5eQBug0CIrNrGSVXfR1NpI5mbhhYCMZr5mSYL5WbZIO0LlKod+Sr4hbhOsvJD7I2CMCQ76WC9r7ERtDdK//k8dq0/MpMFsGs2RUhGHTydTDOLEVWmwtxqQWANEphdV+OHZDBszXhfOkfkJV042jmfYcjfivcs2c7qStGnpK6gOssJ78oC8biA2wYrQP2mTOpCnatHPRmDbxbP+4fCAQCWKpgBdlNSUFcJA3XWU6+UaliwP83M3FAN/cLstLigLHagrXvmPlXiJal2+lZ41lVXl4+OTl53D+QyY3/cMRv2U5d3J/lzHoUUgsA8ahWe3ojq/LQaWRk2qNxBWevVTAVk+Pt0LmkJjLl5eXV1dVrPKvw6XH/QM4shRx0kHG5InkZv0jgOsuxBlTBWBzJpLSBpJmE8cBWTIps7ZRIwPy10EtDpL/BEncJRrjEUkhLcHMzeMaaq206cJ3lWIkVG+P5XrF4MCa12nEtQ2CqElrSuV9pNrRlXzIztWdXFlD2N5DpabqCa1j+bNxBBuE6y7ESc+djai3tCVA3+6rvSVWGoC2ihmwEUw0B63W+VZW8TCLclNg+2QC4znIsSKKKgZrJKKoLYqZCRWwESCN111AInTE5aI2YUvL0BbeopDq7lwgAhdbZAOE6y7EiQv1qd3N70ibRUCFDHP03kZhXKx0hS2RDjg0f89NPP2WPE1UFt7Jy3MB5bZ9sAPbTWd5/1jYI9avDX/6ybKNsZYw55QAYXVXKtFXfP50zmo3Z+i+L8iIRI2JEBHdkeBonlqcVb1pnXE1WsZXOrl+//tSpU/m+Co5plJWVhWs1pJaKa80LQCWAJBshwyObGhnnQuAz1C86wsUg16TrSiJdPzcYdOY3qQtsprPRqOZcOU6Bgv29ZBsV61fsk26Y9qFM21wYCXZJKIuBES6m4qYU3AwH5LCQd9MAbKazHNuiIrW4Msb2bkP7kNwv5fobs/KaJ6FpZvjmXruVNmtagpvJiXQQ6h0AeU42AK6znIJB7JCLYUIHU+mKMaHFzWJq0zZTLNCXfHJysrraeLaAvoDqCG62xygYyDTo7+9ftmxZuu/Sh+ssp3AQxZDiHjNlIQOBRc209qHVFndMfSxTHdW0j5XqAoWI3+WKxMI9xbxbA7Dc/isFN0snIhhI6opGo0uXLk3zolJgN509evRoV1eXz+fz+XyBQCDfl8MxGWXXWoqU8SaLOOrtQ5bIgCG9jFkZ85ncZVZiabprUyi4GMymZSkYWARLd1yNw+FIa38W7KazADA2NrZ9+/bt27f/4Q9/yPe1cMzH5apXJiEAxOzabC9axQeaAaRMSMhnrRfrN6F4MgT5azOIi2DZ8HCRvI9RINhNZ9etW7dv377+/v7+/v7169fn+3I4WaGsrEylv5dISa3KzX0GHq1sJ2xTSC2RZaLt6fUOT2PaLtOupPbf6TQe2Bpuh0jDKLg5KGqIRqOmh7R201nObIHq75VIPCBSC3KpjYegeodMNwAlpm3MslA7eGpltECLg5Hh6Ztuuin351UVTR3BNRjqpp9sYHqGKNdZTiGDSQgxrcMtCamVIM1OXPRxUpFoqUiWyNTV1lwfg7F5OCvkthr7dRnDWA5sStFUCm7BtUMkcJ3lFDikfIuKXUVRlNu1IiTtA5qSxayLya4EOaOhJuImu8rpfLqYctefVWjBHRmeTsvDzXsHGYTrLKfwEcVEIQOxC5R2rfxdWoczqnnJ+p6m2uY6UQyokQqZVGQZlmljUXC6i2bpJhtkCa6zHDsgimLtl78DkKxFoiy7lnpNVdYk3VdVUe4pJqV/FQqBQKA64xTabEMEnXHRzCLBLHCd5diGpKYz8jbhIJteo1n9pftq7DDEEpY09pTkbW1NyTZLV7kZz4lBZSAQqLi/Ie1ryqBBgSmVYKqCi3tapOIW4TrLsQ8q+V6x9okiyUmISZ6WkyCKmq/K9gSF8hElJ+kPdACtp7ZsEpqFEJlEfNlIztfB9IxdmYeLx7dI8ixwneXYjVi+VyLTCyDJriVPddCb+ygm7Zf0QMMtEBMxtbrapqefpjaTIUpkLJMpkzW0dKNgxsCZ9MO1jmkANtPZlStXHj16NN9XwbEAeM9OdCY5/EykBMiEKE3Tls5w0CEmwolkW4XapiO0JiYmCBF/vuLZHGVo5bvtLMFWOltWVpbvS+BYBlEMPtgMQGUgJGfTJubcUikKSdAmQKoQOAWKZNvYBdC5ELnvtZgxuTRnLZ58po+tdJbDoXG56mHFxlgNauymHv8n6qR8iTLPgTw2qG9i4u1xA1ckA3KoTmOah8/kvAyQll05IwftFGKdDayxCAZcZzk2Z+78T+98XBaTorgmKnRpyD7KNStF81uW84u0tyAmORhEbamIOhlJI45mUF5GlXW5IiSLNl1yHGOmFThbypwFrrMc23PTTTepNJ0BgKTetRKtgDG05IyWv9SZCVQCg0xO4/1o6FwIdd9WeZZCaJughQG3wYCfaymp5TrLmQXMnQ9iR6jZk6RxibZbGl2+tGQuKa+A6a4+Pp6XOqx20kGS2iarv0hcCEYZZbg6w75BDkZ7EQwEzhapBEO4znJmC0L96uCDzcpRN6Ksyxfj5DF9U5UFKREax+VUEdsqU8fIG9nOkCUMmwYG3piunztTLlgncxbhOsuZRZAe4QmjABFVPATNsoLkYoT0oGsZFI4tPk3KSZBdRUzc2fuQaSutBEC1OLA4RgJnyyyCAddZzmyjrKys9svfEZV1X1JSNUGKo8ReT19rRd3UBSrzQNbclsTa8suQ5F9FGlciARj1MQ2bBjkwZw3MBMs2XGc5s46ysrKkxrWQWNeiV6Vi20HhqBJvl+VkkpoLofFOuXpLythWku/N7tWCQoVFACsVp5pIJl/U2NgYn6fA4ZgEmZ4rixMpfzYp60u5LMaSciCy7aaaUZDokyDKxVr5ASBzM6T4E9VXtU7KRo7NWSPnyqASzO/3NzU1GX67KlxnObOX2PRcNQFNrtpKflvyjb9eMwQKld3oDfQ1qGqi0reVHVK5P71dNeYVQTBUMpDLTIN0EeodVjMNgOssZ5aTND1X83ZeSrJBM6nB1VJG2l5QGrjU2enANslJkKXoSmoBeL4xZs4aqVCw0iIYcJ3lcOJ2LQAkSZIYL9IFpYEg0U90hUzNElXZR5l4IDuC0uNNFJNp5tsCAMjaOKhBpt6ykEkZmIE3FnRbAwLXWQ4HAADEjpDTk6Sh8SLdpJQv2ZuS/k/72Pp70AtvsvgU9Fe6RPlcMkWRhUSHyWBCbGvYNDDQ1sBYJwRLVSggdtNZ9LCbmpra29u9Xm++L4dTSCTsWsVte9JgR7roVj/TFhSRKXsOllJblYEtKW+AJLVNvpzUysq+Op9hC5hsu7ppBea5xFY629DQMDMz093d3d3dXVdXl+/L4RQeiRZfAEDXuVJPEwtQOkGqml0Qqy9Q1vUq91fdopo8S14S6bQEKUludZbLAAAgGHSy9/k2fCNvoEdBurFz7APDYuYsAMzN9wWYyYIFCwCgpaWF/MsxwPT09K9//WuHw4HZLaWlpaKoe9trM3Aig+QFiFmxkiQRBRNBJFUD6t8WYrayL5cpV71Ug1lK7jVLwugpv9pHoM8bckah3MmYMToyPI2zYdIlZxld1kwHtpXOcjLH6/Xu3bv3G9/4xtDQUG9vLwCMjo4Gg0F8tbGxER+sW7cOH6xcuRLbq1dVVVVXV+fjkrOD2BE691vVtCdRFDGmlSQJb9gTtiitZVoiq9wuxoJTfQFNHFynooy+yLjaxj4VtDNwGbWpMJptf1ZjQVWz3hVx8ofX6922bVtfX59qpDYxMXH27FkACIfDp06dwo3d3d34YHBwEB+4XK6qqioAWLx48R133AEAJDSGgrrPEOpXB4OCKPNkIaZ3oiRiEqtIbQTlY7I/LcdKiIzSKVlaEXEseUuCVPcZoiiSwDZJbam1NSHiDwab9Y+DjAxPZ2IapBsIp/uW3DcsZ4frLCeGvsgCwIIFC4hKrl+/Hh/s3LlTtpskSVNTUwAwNDT0ySefRKNREhqHQqELFy7gbiQ09ng8lZWVYMnQ2OWqh4pKFFoxrqh0mRYxQWM7yNKqSMyo1FAZyYUPsUNp5YSJsUQzlSOpbxXF2FviGQnJpgf7vbbhhawcBMKYOetyWc6cBa6zHOSttw7qiyw75Ag6oWs4HD59+jQ+7u/vx0UYEhr7/f6ZmRkAKC4u9ng8EA+NHQ5HNBptbW1NeXwzmTv/c1/ateCPP03amFw1oDWUQamVEkiaOV6yRAJVO5UxN0v+3nhEDSJZxcMPCNzGUkCViWlgLKOrADwKZrjOcmKR7ODg4PLly3NzxrKyMqKS5IF+aDw+Ph6NRqenp7dv3w7JoXFtba0gCADg8Xhuv/32aDS6aNEiTDgxJTResGABLEi2a8XkWBVEAGpxjL7rVy3KUmpoyk83mfMrxa9AShZlWt9VbVzSvUGSpFiMK952GwCA/1wIYGCJu0Q1aDW8Apbhe9PCgpmzCNfZ2Q6xC3ImsuywhMYA4PP58EFfXx+GxkeOHNm/fz+ohcZALeKR0LihoQGTVXRAu9Z1+UT84shVJjmvuDiWSDkAtdhW4d4mvmRyMC2LNhabYlCqVgBGn4I+qexQpPoCJIBmAPDUC0vcJSPD0+D2y6Q299FlutIc6+39WfauKCO4zs5qTLQL8ogyNFYSCARGR0ch7hoDwEcffaQTGi9btmzp0qUAQELjWH5bRSWcOaQSRcbSBOKLY1JcaiG+A9FQud4lXyht4yoXxFQNAfJQeTT5p4AKoiiGJkP42O30uD0wHPEf9ycFtpkEpLnr0QVWzJxFuM7OXlIufNmJ6upqNBAYQ+P+/n4AiEajJDQm+W3FxcV7Nm3qEMWEFFJ38GJcalUSbBnysZCYjatMEVMuhaXM0tVff1PbKFNbyGwVK2emQTDodLlycB4jcJ2dpdgjkjUd9tA45HQIEb/89pzErVJsrSlJLmNyrL0URqM0GfQlVfeQmm/VPiZR20zSuYxhQJpdrkgmPWezja3qbjmMeL3er37177nIGqO6urqlpSXWDCGOmHz/Trd3AUkRxrJEtWLyMprObsrjq5xIwzwQAYCpC+1x/4Bl0wasnDmLcJ2ddcwquyCruFz1sYaK8ahQkpJi20Sjr/jSlqxhgipM0a7OblrdDFRdi1SKj8Gs2+nBADNdtTXQ3MuYNAeDTsuas8B1drbB7QLzETtCzURKkrt5AdUlVjkkXPOAGvuopoJJbGGv7C1sNjFKKhFKw2qbFgakORh0WjajC+E6O4tAu2BwcJCLrLnEPQQqVk0KbKmmhbEXdXVOYtiHfTdl5KtIhNBC1SdlV1ub1RpkAtfZ2YKV82RtgMtVX/vl+Pwb5RJWYjmMIZJUap+qvasqkaohczyiVnkpLvzKvoj6Kul2ejDZVkdqc2MaxMxZC5sGYD+dra2tJak5HAK3C3JAWVmZ2LEPZEUKhKT+sGrSKSXtm7SPmLybKN9Mv1OrckGi95E9VvulSKmS2bARjJkGppya4Pf7sRGSidhNZzHJnEPDswtyiijSeQgxaA2lp+DQSqpTvAAaL4lxOVaGqJnBHldqqW3OTAOXK2KuOTszM2N6GyO76SxHBo9kc09shq6qbib/EOSzweNbk17Vyh+gD0J7Ehn/nDFnNq24Uqm2uTENLDuoRgbXWTvz1lsHeSSbF8rKymDFRgC9zFlqolfCJ8UXkkjrR6cazEoKI0IXwxVctNoaeLsBaXa5IqFzUd+//05vRJsF4PVgtoXnyeaZufNB7Ag5fyuc8CdpJRkSFm8WHs+7Vet0wPijS+60oJkBlgqh3iFJUob3+26nB9z+keFpWZMEfQw7vCcuXu3u7mac+sHSMCgbcJ21J1xkLYJQvxpqG+DMoaStogjxGQ2kJ2ysSJfsIuvIhSieJo26kS1qScmPmUt+M59KSyJiZUsaHYxlGqx/4D7SdR6ohkE49QN7FutM/Vi2bFldXV00GqWnfpgO11kb8sILL+zdu5eLrFWYOx9WbEx0+YpDq55K9xkx3h2Wfo9GoBobYSNr65WyGIxidHQUZS5zkaVtVmyScNw/MKLd2RYxYFYEg06XKyLL6CINg0B36sf58+c//vhjiLeZdzgcOPVjdHS0uLg4rctggeus3Whvbz98+DAXWWtBPATl3XFcHLUC2xTtY8hOksZOiePrKe1//ud/igDBoLMYWAeMa6FUzDWeVbi2puxsi2SvukyL5cuXYyI53TBIkqTW1tY9e/aYfjobroP19/f7fL6JiYl8X0ge4CJrZYT61bHFMdqNTb7NpyrHJJUdZA9olNW38lU1Uf6S4jiZD+XWyhlImWxr0BQ2r0fXxMTE5s2bv/GNb3R0dJh1TIINdfbAgQPbt2+vrKwsKiqaVTULXGQLgLnzY61nZGtTSdUHorom0slhyqIGGtXqA8w4oGf3qv2aZJgpNTI8rfOqltoayDQQ6h1K0yATHnrooZqaGqXDYAo21Nk33nijv7//+vXr169fL6Ap1hnCRbaQEDtCTg/Q3QlEKvwUQaTa1iaNsUkcQV4tppnYlLIfTTKZh7QpFVOmtoYrGkysBGtvbw+FQj/84Q/NOqAM7s/aAS6yBYdQv/pzFTV/pMfoygxUETT7hYNKLoEmWr8RarZv6Fx0plwwbNGmpZgZ9hE3sUeX1+s9fPjwmTNnspfyZcN4drbBRbZAWbBggbhiYzwcBQDqdj7uKtBRrbxOF9Qea2luLCZOo1rBAAZu/8n+aTVJMNE0OH/+/NatW/v6+kyvtaXhOlvYcJEtbObOj/VDoPOxgHqsrNNVIyGgWr8FSkNWrXiBZbCCFsZu//Fd6bakCQadppgGgUCgsbFx79692f7z4TpbwHCRtQcuV/2ndz4OoJfxmhiEI6mJbUxmY9UI+qRsWWtsDIyBYFb2LlRbLCTTV9tMesd0dXUVxamrq3vkkUeykWAgg+tsocJF1k7cdNNNIHYAiDr9EEDW60tjH71lLmVmmGoqWPpkEszKNq7xrNLvbBvLiDBqGuzcuRMXyR977LHGxkYcZpxt7Kazy5Ytw4nQ9oaLrD0RxeCD8Z6Kcd8gyROQFIEtXeYAqdfEkgaUqWXRFk+GDNySZx7M0ujbCC5XJHPToKura2Bg4Oc//3mGx2HEbjq7dOlSZWd4m9He3v7ee+9xkbUlidmOYtLiWKxHYtxmTZrwmFSPkGwdyPrSJgpz47likpppmyYmBrM0qmqLwWyGmQZer3f37t0HDhzIWU8Zu+ms7Wlvbx8YGDh16hQXWTuDCbaKTK+kXWSjywGAtJ5JPEl+u6h4ReEbCBF/uim0hoNZlt3UY9sMMg0kSdq2bVtPT08u/4K4zhYSKLI+ny8vvd04uUSoX02ahcs9AcpdVXds6fwwSddM0PB22ZfCMpmbwK7OqLZup8flimRSazsxMfHwww+/+OKLdIsvFnp7exsaGoqKim6++ebOzk6tsv6urq6mZDo7O8GWOutwGFkttT5cZGcbZWVlicBWlidAWatJY8eUKPK3UrZGDJ2LshugxoJZY+psLBGCpqWl5f7779++fXta7/L5fBs2bKipqTl27NiePXt6enoeeugh1T2PHj06Ojq6jgI/CO1WD4btJvN9FebDRXbWItSvDofvSHYEFPmwiZbh8VaKqv0QqI2SJOnrMwuGg1ljIxtQ/V2uFKZBZ2en36+SqxAKhQDAQILB9u3bGxsb33nnHQBoaWmpq6tbu3atz+dTLeuvqqpSNkmwm85ykeXYj7Kystovf/nChfhzsn5F/6us05VJLTAsc0kAIggRf7C8OdWusZJZA3JpWJ0ZTYOOjo6pqSnZxp6enp6enkAgYOC8g4ODL7/8MnmK8trX16eqs6qOhN101n7xLBdZDuDQcrEjGDznunxC3nCLqiWLjVeImwzqdWJiku0gX20DAMydAqF4MqRzSYbHiBl7Y8w0YFgBUy5w+Xy+np6evr4+A39E2PNPNmqhsbHx6NGjyrh1dHQ0Go329vbiKIeNGzdiOa/d/FlbiuzJkye5yHIAs75WbFRvaJCcpKVXPEYrkVrvRAAInUvxd2Q4Js1o3rihFTBJktra2vbs2ZODBINgMLh79+5NmzYdPXr09ddfr6ur83q9YL941k6QSBZHyHE4APEOtmRGLi2vyUEr2gixwFZtMJiKkwuJo7lckdCk+iUYdgwggyjYGPrdu3UGgnk8nn379qV7uh07dixcuHDLli34tL29fevWraIocp21KNwu4OghivBZTWy8Y3IPmph1IMWzviRSzqARz6ll6QoRP4A4U65uHRjWSsPBLLtpIEO/e3cmtaOLFy9WbpSd6Dvf+c7BgwePHDliN9/AHnCR5aQmNnPMA6CYtpDcQTyur1KiVFeW3ZXO/TTOrzV2ycaSwGINDdI3DTo7OzPv3k1WveiNg4ODd9xxR8r3kr9frrOWg3uyHHaE+tWxtorKKgbqAV08llQ/pj2FQdWiJW0MDVxqRmkGwBTMBgIBX5zu7u6enp4jR45k/nf0wAMPHDqUmAyPlmtbW5vy7E1NTW+9dZBs6e3tBYCVK1fm3ze4dOnSt771Lb/fX1FR0dbWptWjDJfwyFOHw3HLLbfkoKFZjuGeLCddXK56qKgMOc/GuseSXFpF+wJRjCd+0ePKNfxZIeKHepG2aLHs1fDgcWNuw0y5ABCBz2pY1pKOHTuG6bGjo6PBYNDv95vSvXvbtm1r16598MEHt23bNjQ0tG3btgceeADvEnw+39q1a48dO9bS0oLn+upX/35s7I9NTU0ffXTpq1/9+9ra2vXr1+dZZwOBwIoVKwRBePrpp8fGxrZu3SpJkqr93N3d7ff7PZ7Ez5h+bA+4XcAxyNz5Qv3qYFBIZH1J8UqE5BaISY4t2S7zZ6mnxKLNZO0LMgtmg0FnytoEpKOjo6Oj49KlS/X19Xv37sXJ4ZnT0tLy9ttvf/Ob31y7dm1xcfHWrVu3bduGL5WWljY2NpaWluLTn//85zt27HjllVdmZmaKi4sfeeSR73znOwAw58aNG6ZcijGw9dSpU6dQWbq7u1966aWhoSHlpxCuDKb0rbu6ukDhRhcEXGQ5JvDZn+DMIdJaJrHypZjUQBwDEQBEsejerddP7k3sAAAAoWaPUO8InYuiJ2s4ks1Eo4V6B3xWw74CNjEx0dLSsmrVqtw0lmUkz/7swYMHn376aaIsWHd84MAB1Z1ZAthFixZpWk4WhnuyHHOYOx/EjuCDzfLWM3SXA1kfW5lLm9RlMQb2cDF8UZmIbLqtZp9//nlBECwlspBfncWf7sqVK+mNtbW1qkIZCoUqKyvD4TCa3FrHrKuru3r1qumXmlW4J8sxF5erHp7cCCDG/pCUakv62FKCKhGFjRu7aPhm2L0lo8IEXARjDmZz3L2bnXzqLNYgy8RFEARVobxw4cKhQ4duueWWtWvXrl27tqqqqhDjViXcLuBkhbnzxY6O23A6g0bRF7UhOfELEi4t9u4ajvjZh9HKMJbLBSSYZU7neuutgznu3s1OttbBTC+0aGxsrKioOHDggCiKgUCgra2ttbX1zJkzSic3FAoFAoGsTgk2Cy6ynKyCqQixcgbQSC0gZi6IJOtL1srL7fQc9w+MQNourQnBLDAFs5IkffWrf5/j7t3sZEtnTR/SRR+wurr6yJEjdXV1hw4dUraSHB0dXbFixczMDADU1tYKggAA69atW7RokaXywIgny+0CThZBxxYb0KhJEGk9I+v4hato2LtLqHesgVW4nAVuP6PUZpIHFjMrdNO5mpqaBgcHydOXX3453e7dOSOfeV0NDQ0A0N/fT7cX8/v9L774Ysr3Yriq2jXG4/EQUUYnNxwO07m3VoB7spxc4nLVg6seJC+AIqpNhiR+odiKIBY7Q0EQiiHqdnrcHhiO+BnTDzLJA2NpNUv+zBsaGlatWpVu9+5ckk+dXbBgQW1t7W9/+1uyxefzzczM3HnnnbI9A4HAoUOHmpqaiCLjp+6iRYv0T0H2t9QHHbcLOPkBA1s4kZRUoOyLKIIoUcVjERCpggVGtc3EMRDqHcEg67BFHAxjtQQDGXnO63ruuefefffd7u5uAAgEAlu2bMHyCQCQJKmpqen8+fMAUF1d/frrr2/ZsgXj00AgsHnz5uLi4i996Uv5vX4DcJHl5JFEZ8Wk9gaK+WMi1RhBAlBkHeiP/s6wciwYdLoqKlnSDLC4VicBySLkWWc7OjqefPLJl156qaioqK6uDqjk2ampqcHBwY8//hif/uxnP/vzn/+8du1a3PPPf/6zsa69+YXnyXLyDzq2t1ETExStZ2Jgmq2o2Y5WVW3RxjUssrGuMQwi6/P5XnnllYLQgTzXgyETExNnz5699dZbU9bJSZI0NTVVWlqqtaro8/m2b99u+iqcKfBIlmM1Qud+K0T8IEHR1q0n9z4Zq9NVNEYAgOBtzfrjFY77BwBgibskww6zjAVg58+fb2xs3LNnj6UWt7XIfx8ZAFiwYIHqpB0l1kzaYIGLLMeCxLoiwInYcw2Rje/s0JmzsMYTT0jI6HocLN0MJiYmNmzYoNW924JYQmdtDxdZjmWJpSLAViB9vGRSKwGIUDwZCoLgqtcdaSPBErEE4j1q07UOYiKrsfz1wgsv/PrXv8bHo6Ojd999dwG1MeH9Z7MO92Q5BcFtDz5HzxdLkJiwoMdwxA8iuJ0e/SUyfXSqbP/2b/+2u7sb18xvvvnmDLt35xius9mF58lyCgWXq17siA9oUCKBjj+L5iwdwKartvF8Bk1jUBTFlpaWoaEhv99vSvfuXMJ1Notwu4BTcAj1qz+983H1lyJ+IPkAFDpDFmJqK6VQ25lygaWVwfnz57du3drX11cQVfU0XGezBRdZToFy0003JSV+UUUNMnMWqxUgVaqsu9mDeQiqUjtTLrhckZR9uQKBQGNj4969ewtxMdxuOltaWjo6Oprvq+AiyykkLl26VFxcLNvoctUn5jzGoTslHvcPYAoXy3qXjo2AExP0h0FOTEy0tbVt2rSpUBIMZFgif9ZcioqKrl+/nscL4CLLKSz0s87D4XDZhR+TpyGnB4fZDEdYG8rIwPQvtBoSOQa6wWx7e/sHH3xgzbx4Fnhel5lMTEw89dRTFy9e5CLLsQ1lZWUgdoAUm0guRPwh8Aj1Dvc5gxVf2CEB6EQuhch6vd7x8XF8LEkS/k0Z/xryDddZ0wiHw1htwUWWY0NEET6rgTMXASQh4gcQyYhGY6D5kDKSPXTo0OjoaEEU1+rAddYcwuHwvffeC1xkOTZm7nwQxWDQ6bp8InQu6qqHIBiU2pR2AfqwkiTt3r3bst272bHbOlhe4CLLmT3g+hgocg/YYfRkJyYmHn744RdffNFSTU2NwePZTOEiy5mFCPWr4bM/wdyLQRAA9EoYFG9kElkAaGlpuf/++63cvZsdHs9mxMTEBBdZzixl7nysLHC5IiwzcYV6B7vItre3g6Hu3T6fr729vampqb29XX/pzOv1Pvjgg01NTZ2dnYFAIN0TpQXXWeNMTEzwhS/OrGbufFdFJc6Y0Zfa2PBatB1SiWx3d/fhw4dPnjyZ7uX09vauXbv2gw8+WLdu3QcffLB27dre3l7VPTs7O7du3fqXf/mX69at+8UvfrFixYqsSi3PnzUIF1mObTCha/NnfwpeHYtXHMRsBFmFLuOIBJ/P19bW1tfXZ2Dtq6qq6u67737nnXfw6YMPPnj69Gll4dKlS5eWLl368ssvoykxMTGxcuXK+++/P3vDb3g8awQushxOEnPnu1z18FkNVtDOlAsosi5XxFVR6aqoVIax999/f5Eaa9eu3bNnjwGR9fl8wWBw27ZtZMu2bduCwaDSPcBeX8T5XbBgwdNPP33w4MF0z8gOXwdLGy6yHI46c+dj+ayr4k/xp5oa895778m24F/Wxo0bjRXXnj17FuJTtBHVidoAIElSbW0tvWXlypW4PUsJZFxn04OLLIeTGgZ/QMlDDz1UU1NjuHt3KBQCAPqvEh9Ho/L8s6tXrwqCQG/BtqVTU1PGTp0Se+psV1cXALS2tgI1WjxzuMhyOFnihRdeCIVCP//5zw0fQamniMOROhci29hTZwFgenoa/Rezek9gWe2qVassPimewyk43nrr4N69e8+dO5eN8EVLf3OJPXXW9MFBGMlykeVwTEeSpKefbj958uTixYszOY7SY5UkCeL3tTT33Xff3r176S0YjZl47yvDhvkGxcXF5qbCocg2NzdzkeVwzCUQCLS2tprSvRsrhn75y1+SLUeOHIHklTHk85///MzMDKow0tvbK1sZM5kbtmP16tV9fX1mHe3KlSv19fWPP/64WQfkcKxGX1/f6tWrc3a6ffv2rY6zePFiE/+4Hn/88dLSUvzz7+vrKy0t7ejooE9K9ly8eHF9ff3w8PCNGzdeeeWVuXPnvvPOO2ZdhhJ7+gZmwe0CDsd0/uZv/qaurg4AtmzZUlVVZeIf1/e+9z0sA8OnDzzwwK5du/DxJ598Mjg4SPb8v//3//71X/81XgYAvPzyy1ntVsN1VhNiF+zbty/f18Lh2IfFixcvXrwYk4IySTBQUlZW1t/fHwgERkdHq6qq6HGN27dvp1vSLF++fHR0VJKkqamphoaGbKcPcZ1Vh0SyXGQ5HNPxer27d+/OUvfu6upqxoG4OWtra8N1sMzhdgGHkz0kSdq2bZsNunezw+NZOVxkOZzsYafu3WhQyDaqJodxnU2CiyyHk1Xs1L37ueeee/fdd2UbVZsFcp1NwBe+OBzTwbUmfPyjH/0IDHXvtiY7d+7E9mD9/f0vvfQSADz55JOqe3KdjcEXvjicbOD1ev1+PwDgv9meXJBL0F+WJOmVV14BgMcee0xLPbjOAnC7gMPJGig92L17cHDQZg2Y0G6emZl57LHHdNSD5xvwsloOJ7tIktTW1rZnz57ly5fn+1rMBKUjGAzqiyxwneV2AYeTVSYmJjZv3vyNb3zDWPduy4LSceHChdra2u985zv6O89q34DbBRxOtsmwe7c1ISJbXFz86quv4igHANAqLZu9OstFlsPJNp2dnRl277YmJ0+evHDhAgDMzMxs2LCBbNeaADtLdZaLLIeTbbxeb09Pz5kzZ2y29gUAZWVlO3bskG1cuHCh1v421NnFixcPDQ3ptOzlebIcTraRJGnr1q1+v5+x1UBh0dLSklZTcBvq7B133DE+Pq71Kl/44nCyBLbgcjgc0Wh09+7de/futVmCgWFsqLM6cLuAw8k2H3300ZtvvvnYY4/ZLMEgE2aRzuIgRW4XcDhZApMK2tvbGxsbeShDY/P82c7OTpwCNDExce+993K7gMPJKl1dXQMDA/ZLMMgQG8azaA/hY7/fPzU1xe0CDicHZLV7d0Fjw3hWNq4d7QIushxOVpmF3bvZsWE8CwC7d+8+evQoAPj9/k2bNj3yyCNcZDmc7GGn7t3ZwJ46+8gjjzzxxBPhcJiLLIeTJXw+H3m8ZcsW23Tvzgb21NmlS5c2NDS0tLTMzMw88cQT+b4cDseGEFUdHBxk6aUym7GhP+twOMbGxtCTbWxsNOuwgUDA6/WadTQOxzoMDQ1VVFSk+67+/v7+/v7NmzcXFxefPHmSr33pYEOdjUajb775piAI5toFo6Oj3H/g2JLx8fHVq1cbeKPP5/uHf/iHvr6+srIy06/KTtjQN9i8efPRo0dHR0eLiooAoK2tzePxAEBFRQWuhC5cuLChoQEASktL87s2ev78+VtuuYUHApy8I8vSYYF07+YJBimxoc5WV1f39/eTp2T279DQ0Pj4uMPh+I//+I8DBw4AwOjoaDAYBIDi4mKixfjBLggCanFVVVX2GmE8+eST3d3daTWk4HCygcPhSGt/7N69adMmXlzLgg11VkZ1dTUKpY6cES0+e/bslStXAODdd99FLfb7/TMzMwBQXFwMAE1NTcuWLVu6dKnD4bjlllvq6uogy1rM4eSAdOPZp556qqamhldXMmJ/nWWBRYvJeOT+/v5oNBqNRo8cOYKOLdFil8tVVVUFAKjFALBo0aLcaLHP59u+fTsdyFsKr9d7003zHn/8sXxfCMcEOjs7L168SOd1MSJJ0pEjRwCgra1Ny20gQQ8h7/5e5nCdZYX8pNm1GAD0tXh0dPRHP/pROBzGZQStoRc2QKdTJaeweOutg8a6d7e3tx88eLC2thYAdu3apTW78Ctf+crg4CC9pbGx0bIBBCNcZ82ERYtJFNDX1/f0008DQHd3N24hv161tbWCIACAx+OprKwEgJUrV+ZSi5uamrhxzFEiSdLTT7cfO3Ys3Zszn8938ODBvXv3op/r9Xq3bt36xBNPqP6O2UBYZXCdzTXkF4s8UI6oI1pM4uKUWvzhhx+GQiF8o43jYk5uaGpqkgWVhL179xr4AN6zZ09tbS1ZNOvo6Hjttdf27Nmjeqhly5ale3yLYx+dfeutgx99dFF/rObExMQPfvCD3t5eAFi/fv3TTz9tTT1KS4v7+voAYOnSpR988MH27dtDoRBOiANKi9etW4dtzFpbW2VH5nCUKMNJ0vTOWILB6dOn77//fnrLqlWr3nvvPdWdcW3DTthBZycmJrZu3frTn/4U1PSIpqWlZXR0dNOmTQDwyiuvHDhwgAwELjhSavHExAR+deFw+Pe//300Gh0bG8NaSVqLScncunXrAMDhcDQ1NYVCof7+fnO1ON3MIY6l2LFjRya1P8FgEBeECUuXLsWsShmDg4MVFRUNDQ34K/rkk0/u2rXLmvEQO3bQ2erq6k2bNj355JNvvvmmzm5er/fChQsnT55EF7Wjo+Pee+99662Ddl0EX7BgARFKrS5KtBafOnUKAD766KPe3l5BEA4cOPDSSy/hbjItBoB042K6KXDmdHV16X+gctJF/1Owq6vrF7/4xR/+8IdMTsH+C/CrX/3qxRdfbGpqGhoa2rZt24kTJ3w+X0FLrR10ds+ePR0dHTgDTof9+/c3NjaSpSpRFBsbG/ft22tXnWWBRYvD4fDp06eB0uIPP/wQ204qCz0WL158xx13QDwuhnhSTjQaNTGe3bVrF9dZc9ERwd7eXuzenZvi2uvXr5PHLS0tdXV1a9eu/elPf1rQBRF20FnGHwD2oqW3eDyenp6e7FyUfSgrK0upxbKiO3yAPjitxbjFUgXQaHNzt1oLSZI2bdqUefdul8v14Ycf0ls+/PBDzPHSB380hZ4XaAedZWRmZgZzpAiVlZWY08rJkLSK7ogW6xdAi6KIITDGxVkq9MBVxFmus1qujondu++//37Zqtd7770nWxmDuJFF/6wDgQAUvrlvH50t9J+E7UlLi0nRnSRJGAXThR4A0NTURJKLMyy64785tMh2dnb6/X58PDo6alb37ieeeOLgwYNerxfvPru7u4PBIOkN3dXV1drair8YbW1tX/jCF374wx+iIfvyyy8DwMaNGzO/hjxiH501cZmFky/SLYAGgGg0euzYsZQF0LffXnP77YtBocXmLtAhVq6BliTJ6/Xq9CXo6OjAb++WLVtuvvlms7p3t7S0PPbYY1u3bn3ttdcA4MKFCzt27CA/5V27duE+CxYs2LNnz9atW6urqz0eD97o7N27t9D7h9hHZ1NSW1srWzD9wx/+YGIjcE5uMFYAffjwoatXr4JCi0dHR1GRIedFd3lhamqKhKuq4LfX6/WOjo4GAgETvw/79+9/9tlnf/nLX0ajUVl/g2PHjrndbnzc0dGxdu3aQ4cO4drpxo0bC11kYVbpbHNzM73qFQ6H33333a1bt+bxkjhZIt0CaHxgwQJopLOzs6OjI2dLhT6fb9u2bdkYDy6KoupXIfsxVVdX22zUWMHrLHH0cDUT/3jI+nVTU1N7eztaQt/85jfffPPN9vb273znOzfddNPXvvY1YM5V4NgPAwXQDocjpRajEYE10GZpsd/vx/A8S9DmCXbv/qd/+udCb5FlKQpeZw8cOIDmDrJ27Vqg+lAMDg6S1Prq6uq9e/du27bt4MGDAFBcXNzT02ODWxJO9lBqsTLOksXF0Wj06NGjgiBs2bJFWQC9fv16VDRLFUATkcXu3Vu3bp3NSeXZYM6NGzfyfQ25hqdMZo9wOPxf/+t/HRwcPHbsmNZ3uLu7m1SaEejsdJuhLPQYGxtDk1SnABooLd6+fbtZ7dNU1+iwxmfnzp0PPvggALzzzjuZn4hDU/DxrAG4wmaJ3t7eTZs2YQKsDhg9HTt2LCcXlX9YCj1kBdAOh+Ojjz6im1GQGzVyHNPjYsPduzkpmY06y8kS//Iv/9LT01NWVoaioIXD4SguLuafdjTGmlHoFEDjpDv0lOkCaK0LOHTo0OjoqIHu3RwWuM5yTANzy1MGRNFoNGXMy1HCosWMBdCovKQA+ujRoxcuXDDQvZvDCNdZjmkwhkKSJAHAG2+8gUW369ate+aZZ3gYZQrpFkB/8skn0Wh02bJl27dv53cY2YPrLCfXXL16dXBwMBQKbdy4cWxsbPfu3YcOHSr0xncFBIsWc8yF6ywn13z/+9+fmpoif+TYCHjHjh18SDXHrnCd5eQa2WoMNgLWLwblcAqav8j3BXBmIxMTE/TTUCiUpwvhcHIB11lOLpAkCZe/AKCqquqhhx6iX7pw4ULmHU45HMsyG+vBONlAkqRnn30W4nn1pNIUS48wkQgf9/b2btiwweVyPf3002NjYz09PVVVVXwdzFy8Xu+RI0euXr3q8Xg2bdqks+RF9rzvvvs6Ojp4alc24DrLMYdLly798Ic/xI4k2DkbH2BRk9frBaprj8/n6+npQU928+bN/+2//TcusibS1NQ0ODj42GOPLV269OjRo4ODg3v37lVtmdTZ2fnmm28+9thjdXV1r7/+eigUOnPmDJda0+E6y+HYCrxd+MEP9pNeME1NTaOjo5gzSxMIBOrq6r73ve9t2bIFACYmJlauXHn//fcbHh7O0YL7sxyOrbjjjjvefvttuuHWunXrsBJMBtaJoMgCwIIFC55++mnsZscxF57XxeHYClKGQDh69KjqZFlJkmTbV65cCQDnz59fvnx5Vi9ytsHjWQ7Hzni93sHBwTfeeEP50tWrV3GtkoCjIj7++OPcXNvsgessh2Nb3njjja1bt/7gB/t5iW1+4b4Bh2NP2tvbDx8+/Pbbb/Pc5LzDdZbDsSENDQ1//vOf+/r6dHrOejweejIpxBOcefBrOtw34HDsRmdn55///OdTp07pz1Jsa2ubmZk5f/482dLb26u6YsbJEB7Pcji2wufzvfnmmzt27MDhC4S77767rKzM6/Xu378f49b169e7XK4NGzb88pe/XLx4cXd39+Dg4Ntvv52nC7czXGc5HFuBY3d37dpFz4EGAJyMOT4+TiaiA8DPfvazhx9+eOnSpfh0x44d3MzNBrwejMOZ7UiSNDU11dDQwKufswTXWQ6Hw8kufB2Mw+FwsgvXWQ6Hw8kuXGc5HA4nu3Cd5XA4nOzCdZbD4XCyC8+f5ZjMxMTE66+/7nA4Nm7ciA36JEk6cuQIADzzzDM8c4gzC+E6yzGZBQsW4KyUjz76aN++fZIktba2zszM7N27l4ssZ3bC82c55uPz+dauXQsAJ0+e3Lx584ULF7TmU3E4swGus5ysgKMA8fGTTz65b9++/F4Ph5NHuM5ysoIkSffeey8APPDAA++8806+L4fDySc834BjPhMTE5s3b8bHp0+fzu/FcDh5h+ssx3weeuihCxcuPPbYYy6XKxgMer3efF8Rh5NPuM5yTKa9vX1wcPBLX/rS/v37/+f//J8A8K1vfSvfF8Xh5BOusxwzaW9vP3jwYG1t7d69ewHgS1/6UnFxcTAY7O7uzvelcTh5g6+DcczE5/MBAN3JFHublpaW6s9Q4XBsDNdZDofDyS7cN+BwOJzswnWWw+FwsgvXWQ6Hw8ku/384T54IEoRGEAAAAABJRU5ErkJggg== | Find the volume of the shape created when rotating the curve from $x=1$ to $x=2$ around the $x$-axis, as pictured here: | $V$ = $2\cdot\pi\cdot\left(\ln(2)-1\right)^2$ |
6384f2d3-a49e-4db1-a04d-6cb03a14813a | algebra | false | null | Rewrite the quadratic expression $3 + 2 \cdot z - 5 \cdot z^2$ by completing the square. | $3 + 2 \cdot z - 5 \cdot z^2$ = $-5\cdot\left(z-\frac{1}{5}\right)^2+\frac{16}{5}$ |
6393eea4-766f-400b-a497-def1c92321c4 | differential_calc | false | null | Sketch the curve:
$$
y = \sqrt{\frac{ 216-x^3 }{ 4 \cdot x }}
$$
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): $(0,6]$
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: $(0,6]$
7. Intervals where the function is concave up: $\left(0,3\cdot\sqrt[3]{2}\right)$
8. Intervals where the function is concave down: $\left(3\cdot\sqrt[3]{2},6\right)$
9. Points of inflection: $P\left(3\cdot\sqrt[3]{2},3.2734\right)$ |
63cc78bd-ed0e-4995-b5d7-112269bc35b9 | differential_calc | true | 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| A function $f$ has a derivative $f'$ whose graph is shown below. Use the graph of $f'$ to answer questions about $f$.
1. For what values of $x$ is $f$ increasing? (Enter your answer using interval notation).
2. For what values of $x$ is $f$ decreasing? (Enter your answer using interval notation).
3. For what values of $x$ does $f$ have either a local maximum or a local minimum? | 1. The function $f$ is increasing on the interval(s): $\left(0,\ 1\right)$, $\left(3,\ 5\right)$
2. The function $f$ is decreasing on the interval(s): $\left(1,\ 3\right)$
3. The function $f$ has a local maximum or local minimum at the value(s) $x$ = $1$, $3$ |
64067e9f-bbfb-48b1-b763-734ea00fe8e4 | integral_calc | false | null | Find the integral:
$$
\int \frac{ \arcsin(4 \cdot x) }{ \sqrt{4 \cdot x+1} } \, dx
$$ | Answer is: $\frac{1}{2}\cdot\sqrt{4\cdot x+1}\cdot\arcsin(4\cdot x)-\left(C-\sqrt{1-4\cdot x}\right)$ |
6438919f-d8f6-4e72-8d71-6f562f93a51e | precalculus_review | false | null | $P = \left(x,-\frac{ \sqrt{15} }{ 4 }\right)$, $x > 0$ is a point on the unit circle.
1. Find the (exact) missing coordinate value of the point.
2. Find the values of the six trigonometric functions for the angle $\theta$ with a terminal side that passes through point $P$.
Rationalize denominators. | 1. The (exact) missing coordinate value of the point is: $\frac{1}{4}$
2. The values of the six trigonometric functions are:
* $\sin\left(\theta\right)$ = $-\frac{\sqrt{15}}{4}$
* $\cos\left(\theta\right)$ = $\frac{1}{4}$
* $\tan\left(\theta\right)$ = $-\sqrt{15}$
* $\csc\left(\theta\right)$ = $-\frac{4\cdot\sqrt{15}}{15}$
* $\sec\left(\theta\right)$ = $4$
* $\cot\left(\theta\right)$ = $-\frac{\sqrt{15}}{15}$ |
64927e69-37fa-45c5-b927-f586521421b3 | differential_calc | true | data:image/png;base64,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 | Use the graph of the function $y = f(x)$ shown here to find $\lim_{x \to 0^{-}}\left(f(x)\right)$, if possible. Estimate when necessary. | $\lim_{x \to 0^{-}}\left(f(x)\right)$ = $-2$ |
6501a0ec-185e-403b-94d4-328cdcb034f7 | differential_calc | false | null | Find all values of the constant $c$ such that the limit
$$\lim_{x \to -\infty} \left(\frac{ 3^{c \cdot x}+4 }{ 3^{4 \cdot x}+4 }\right)$$
exists. Enter the range for the constant $c$ as an interval of the real line. | The final answer: $(-\infty,\infty)$ |
65049e00-213a-4574-82d7-5808de990ee2 | precalculus_review | false | null | Evaluate the definite integral. Express answer in exact form whenever possible:
$$
\int_{0}^{2 \cdot \pi} \left(\sin(x) \cdot \sin(2 \cdot x) \cdot \sin(3 \cdot x)\right) \, dx
$$ | $\int_{0}^{2 \cdot \pi} \left(\sin(x) \cdot \sin(2 \cdot x) \cdot \sin(3 \cdot x)\right) \, dx$ = $0$ |
65adfaa3-961d-42d7-8748-108e8865c96c | multivariable_calculus | false | null | $E$ is located inside the sphere $x^2+y^2+z^2=1$, above the xy-plane, and inside the circular cone $z=\sqrt{x^2+y^2}$. Find the volume of $E$. | Volume = $\frac{2\cdot\pi-\pi\cdot\sqrt{2}}{3}$ |
65b511d6-b6cc-419c-94dc-4d5f8aaddae4 | precalculus_review | false | null | Find expressions for $\cosh(x) + \sinh(x)$ and $\cosh(x) - \sinh(x)$. | The final answer:
$\cosh(x) + \sinh(x)$: $e^x$
$\cosh(x) - \sinh(x)$: $e^{-x}$ |
65c1a270-1f76-4be3-9b46-402724ce0b86 | precalculus_review | false | null | Find points on a coordinate plane that satisfy the following equation:
$$
x^4 + y^4 + 2 \cdot x^2 \cdot y^2 - 9 \cdot x^2 - 10 \cdot y^2 - 4 \cdot x + 29 = 0
$$ | The final answer: $(2,-1)$, $(2,1)$ |
65c1e512-3dd9-46b1-9033-d6804ee5d9de | integral_calc | true | data:image/png;base64,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 | Find the area of the figure enclosed between the curves $y = 4 \cdot x^2$, $y = \frac{ x^2 }{ 9 }$, and $y = 2$: | Area: $\frac{20\cdot\sqrt{2}}{3}$ |
66acec6b-4d9c-4bd8-b009-32ee36aefe18 | algebra | false | null | Divide the rational expressions:
$$
\frac{ q^2-9 }{ q^2+6 \cdot q+9 } \div \frac{ q^2-2 \cdot q-3 }{ q^2+2 \cdot q-3 }
$$ | The final answer: $\frac{q-1}{q+1}$ |
66af2cdd-b16b-4737-a140-2fd39c485799 | sequences_series | false | null | Find a “reasonable” upper-bound on the error in approximating $f(x) = (x-1) \cdot \ln(x-1)$ by its 3rd order Taylor polynomial $P_{3}(x)$ about $a=2$ valid for all values of $x$ such that $|x-2| \le 0.3$. | The final answer: $\frac{2}{(0.7)^3}\cdot\frac{(0.3)^4}{4!}$ |
66e32cbc-860b-49a6-9cc6-2f5e65c8cb51 | precalculus_review | false | null | Evaluate the sum $S = \sin(a) + \sin(2 \cdot a) + \sin(3 \cdot a) + \ldots + \sin(n \cdot a)$, where $a \ne \pi \cdot k$. | The final answer: $S=\frac{\sin\left(\frac{(n+1)\cdot a}{2}\right)\cdot\sin\left(\frac{n\cdot a}{2}\right)}{\sin\left(\frac{a}{2}\right)}$ |
671f80e1-5201-4313-9f84-f34e02bc1cfa | differential_calc | false | null | Find the derivative of the function $y = \frac{ 2 \cdot \csc(x) - 7 \cdot \sin(x) }{ 4 \cdot \left(\cos(x)\right)^5 } - \frac{ 3 }{ 5 } \cdot \cot(2 \cdot x)$. | $y'$ = $\frac{6}{5\cdot\left(\sin(2\cdot x)\right)^2}+\frac{28\cdot\left(\cos(x)\right)^6-25\cdot\left(\cos(x)\right)^4-2\cdot\left(\cos(x)\right)^6\cdot\left(\csc(x)\right)^2}{4\cdot\left(\cos(x)\right)^{10}}$ |
672bf8b7-70c8-4296-96a2-3427f9e31551 | differential_calc | true | 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 | Begin with box (A). To advance to the next box, look for the answer located above each box. Continue working in this manner until you complete the circuit. When you are done, submit the answer to the last limit statement completed.
START HERE
| A$\lim_{x \to 10}\left(-|1-x|\right)$ |
| --- |
| Previous answer: $8$ | Previous answer: $-9$ | Previous answer: $6$ |
| --- | --- | --- |
| B$\lim_{x \to 1^{-}}f(x)$ | C$\lim_{h \to 0}\left(\frac{ (3+h)^2-9 }{ h }\right)$ | D$\lim_{x \to c}g(x)$ | $x$ | $c-0.1$ | $c-0.01$ | $c-0.001$ | $c$ | $c+0.001$ | $c+0.01$ | $c+0.1$ | | --- | --- | --- | --- | --- | --- | --- | --- | | $g(x)$ | $7.5$ | $7.873$ | $7.949$ | ?? | $8.012$ | $8.361$ | $8.75$ | | | The result of evaluating the final limit is: $2$ |
67313a83-62b3-4200-a3c7-a19ec49a8683 | precalculus_review | true | 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 | Find formulas for
$f(x)$ and
$g(x)$, the perpendicular lines whose graphs are shown below (note that
$f$ is the black line and
$g$ is the red line): | The final answer: $f(x)=-\frac{3}{5}\cdot x+3$, $g(x)=\frac{5}{3}\cdot x$ |
674563c1-43e2-47d9-be85-2566027df8cc | integral_calc | false | null | Compute the integral:
$$
4 \cdot \int \cos(4 \cdot x)^4 \, dx
$$ | $4 \cdot \int \cos(4 \cdot x)^4 \, dx$ = $\frac{\sin(4\cdot x)\cdot\cos(4\cdot x)^3}{4}+3\cdot\left(\frac{1}{8}\cdot\sin(4\cdot x)\cdot\cos(4\cdot x)+\frac{x}{2}\right)+C$ |
674ce6c5-cc42-4940-87a7-f55788a5f6c9 | integral_calc | false | null | Solve the integral:
$$
\int 2 \cdot \tan(-10 \cdot x)^4 \, dx
$$ | $\int 2 \cdot \tan(-10 \cdot x)^4 \, dx$ = $C+\frac{1}{5}\cdot\left(\frac{1}{3}\cdot\left(\tan(10\cdot x)\right)^3+\arctan\left(\tan(10\cdot x)\right)-\tan(10\cdot x)\right)$ |
675e419a-20df-4103-9bf4-92cf40c77234 | algebra | true | 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 | Write the equation for the graphed function. | The final answer: $-2\cdot(x-2)^2+7$ |
6773e6e9-681b-483f-8c75-43833b81fd8a | algebra | false | null | A falling object travels a distance given by the formula $d = 5 \cdot t + 16 \cdot t^2$ (ft), where $t$ is measured in seconds. How long will it take for the object to travel $74$ ft? | The final answer: $t=2$ |
67ca31aa-5290-45c5-9922-f42e135847f7 | algebra | false | null | A town's population has been decreasing at a constant rate. In 2010, the population was $5900$. By 2012, the population had dropped to $4700$. Assuming this trend continues, predict the population in 2016. | The population in 2016 is predicted to be $2300$ |
685d1667-9fd9-4d85-b338-8ad9eed93d40 | algebra | false | null | Find the formula for an exponential function that passes through the two points: $P(-2,6)$ and $P(3,1)$. | $f(x)$ = $6^{\frac{3}{5}}\cdot6^{-\frac{x}{5}}$ |
68996589-17fd-459a-946d-71f87e57b7a3 | integral_calc | false | null | Find $I=\int \frac{ 5 }{ 1+\sqrt{(x+1)^2+1} } \, dx$. | The final answer: $I=5\cdot\ln\left(x+1+\sqrt{x^2+2\cdot x+2}\right)+\frac{10}{x+2+\sqrt{x^2+2\cdot x+2}}+C$ |
68edc24a-5486-4fd2-b684-187893550518 | 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 $t=5$ to $t=15$. | The final answer: $-\frac{3}{5}$ |
6908fd1a-de7a-4133-99a9-9c5bf4932f3f | multivariable_calculus | false | null | Evaluate $\int\int\int_{E}{(x \cdot z+1) d V}$, where $E$ is the region defined by:
$$
E = \left\{(x,y,z) | 0 \le x \le \sqrt{y}, 0 \le y \le 2, 0 \le z \le 1-x^2-y^2\right\}
$$ | $I$ = $\frac{73}{30}-\frac{52\cdot\sqrt{2}}{35}$ |
69536a3f-0fe2-40fc-8f40-9642f76f67b1 | integral_calc | false | null | Calculate the integral:
$$
\int \frac{ M \cdot x + N }{ \left( x^2 + p \cdot x + q \right)^m } \, dx
$$
where $M = 4$, $N = 5$, $p = 2$, $q = 9$, and $m = 2$. | $\int \frac{ M \cdot x + N }{ \left( x^2 + p \cdot x + q \right)^m } \, dx$ = $C+\frac{x+1}{128+16\cdot(x+1)^2}+\frac{\sqrt{2}}{64}\cdot\arctan\left(\frac{1}{2\cdot\sqrt{2}}\cdot(x+1)\right)-\frac{2}{8+(x+1)^2}$ |
695892c9-6ed2-4332-a5fb-5be48d39a53d | differential_calc | false | null | Make full curve sketching of $y = \sqrt[3]{5 \cdot x^2 - \frac{ x^3 }{ 2 }}$. 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) $(-1\cdot\infty,\infty)$
2. Vertical asymptotes None
3. Horizontal asymptotes None
4. Slant asymptotes $y=-\frac{1}{\sqrt[3]{2}}\cdot x+\frac{10}{3\cdot\sqrt[3]{2}}$
5. Intervals where the function is increasing $\left(0,\frac{20}{3}\right)$
6. Intervals where the function is decreasing $(-\infty,0)$, $(0,10)$
7. Intervals where the function is concave up $(10,\infty)$
8. Intervals where the function is concave down $\left(\frac{20}{3},\infty\right)$, $(-\infty,0)$
9. Points of inflection $P(10,0)$ |
69980591-c61d-4569-9d4a-dc1f584a059b | integral_calc | false | null | Find the mass of an oversized hockey puck of radius 2 in. with density function $\rho(x) = x^3 - 2 \cdot x + 5$ that is centered at the origin. | $m$ = $\frac{332\cdot\pi}{15}$ |
6a01b887-afea-45a4-a721-2b93a32d3659 | integral_calc | true | 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 | The base of a lamp is constructed by revolving a quarter circle $y = \sqrt{2 \cdot x - x^2}$ around the $y$-axis from $x = 1$ to $x = 2$ as seen here:
Create an integral for the surface area of this curve and compute it. | Surface Area = $2\cdot\pi+\pi^2$ |
6a3b6a6e-8d7d-4bc2-ada7-1ff894479ae8 | multivariable_calculus | false | null | The position function for an object in three dimensions is given by the equation $\vec{r}(t) = t \cdot \cos(t) \cdot \vec{i} + t \cdot \sin(t) \cdot \vec{j} + 3 \cdot t \cdot \vec{k}$. Find the tangential and normal components of acceleration when $t = 1.5$. Round your answer to two decimal digits. | $a_{T}(1.5)$ = $0.43$ meters per second squared
$a_{N}(1.5)$ = $2.46$ meters per second squared |
6a71b57b-416e-48e5-ad32-d4511d34e88b | sequences_series | false | null | Find the Fourier series of the function $f(x) = \frac{ 1 }{ 3 } \cdot x$ in the interval $[-4,4]$. | The Fourier series is: $\sum_{n=1}^\infty\left(\frac{\frac{8}{3}\cdot(-1)^{n+1}}{\pi\cdot n}\cdot\sin\left(\frac{\pi\cdot n\cdot x}{4}\right)\right)$ |
6b3c2531-9f19-4e7b-9266-5b329b94ce58 | integral_calc | false | null | Solve the integral:
$$
\int \frac{ 7 }{ \sin(-2 \cdot x)^3 \cdot \cos(2 \cdot x)^2 } \, dx
$$ | $\int \frac{ 7 }{ \sin(-2 \cdot x)^3 \cdot \cos(2 \cdot x)^2 } \, dx$ = $-7\cdot\left(C+\frac{3}{8}\cdot\ln\left(\left|\cos(2\cdot x)-1\right|\right)+\frac{1}{2\cdot\cos(2\cdot x)}+\frac{1}{8\cdot\left(1+\cos(2\cdot x)\right)}+\frac{1}{8\cdot\left(\cos(2\cdot x)-1\right)}-\frac{3}{8}\cdot\ln\left(\left|1+\cos(2\cdot x)\right|\right)\right)$ |
6b42b93e-7542-4939-9fac-3c233632843b | sequences_series | false | null | Expand the function $f(x) = \ln(1 + 4 \cdot x)$ 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. $4\cdot x-\frac{(4\cdot x)^2}{2}+\frac{(4\cdot x)^3}{3}-\frac{(4\cdot x)^4}{4}+\frac{(4\cdot x)^5}{5}-\frac{(4\cdot x)^6}{6}+\frac{(4\cdot x)^7}{7}-\frac{(4\cdot x)^8}{8}+\frac{(4\cdot x)^9}{9}$
2. $\left|R_{10}(x)\right|<\frac{4^{10}}{10}$ |
6b629d16-c2b1-4623-82b2-02dbc4e7f2e4 | integral_calc | false | null | Compute the integral using the Substitution Rule:
$$
\int \frac{ x^2+3 }{ \sqrt{(2 \cdot x-5)^3} } \, dx
$$ | The final answer: $C+\frac{60\cdot x+(2\cdot x-5)^2-261}{12\cdot\sqrt{2\cdot x-5}}$ |
6b9b82b0-0daf-4868-b36b-698a539d3df2 | sequences_series | false | null | Use partial fractions to find the power series of the function $\frac{ 5 }{ \left(x^2+4\right) \cdot \left(x^2-1\right) }$. | $\frac{ 5 }{ \left(x^2+4\right) \cdot \left(x^2-1\right) }$ = $\sum_{n=0}^\infty\left(\left(-1+(-1)^{n+1}\cdot\frac{1}{2^{2\cdot n+2}}\right)\cdot x^{2\cdot n}\right)$ |
6bb32e56-be8b-434d-bd37-b11b1d2b9bba | precalculus_review | false | null | Evaluate the definite integral. Express answer in exact form whenever possible:
$$
\int_{0}^{\frac{ \pi }{ 2 }} \sqrt{1-\cos(2 \cdot x)} \, dx
$$ | $\int_{0}^{\frac{ \pi }{ 2 }} \sqrt{1-\cos(2 \cdot x)} \, dx$ = $\sqrt{2}$ |
6bd3ca7c-5934-4620-8202-14e34d1af387 | integral_calc | false | null | Compute the integral:
$$
-\int \frac{ \cos\left(\frac{ x }{ 2 }\right)^4 }{ \sin\left(\frac{ x }{ 2 }\right)^3 } \, dx
$$ | $-\int \frac{ \cos\left(\frac{ x }{ 2 }\right)^4 }{ \sin\left(\frac{ x }{ 2 }\right)^3 } \, dx$ = $C+3\cdot\cos\left(\frac{1}{2}\cdot x\right)+\frac{\left(\cos\left(\frac{1}{2}\cdot x\right)\right)^3}{1-\left(\cos\left(\frac{1}{2}\cdot x\right)\right)^2}-\frac{3}{2}\cdot\ln\left(\frac{1+\cos\left(\frac{1}{2}\cdot x\right)}{1-\cos\left(\frac{1}{2}\cdot x\right)}\right)$ |
6bdd2bef-2357-4e25-9fb4-6fe1f7d87733 | precalculus_review | false | null | Find the solutions of $(x+2)^4 + (x+5)^4 = 17$. | The final answer: $x_1=-4$, $x_2=-3$ |
6be04ab0-da51-4839-a9ba-166317b288ab | multivariable_calculus | true | 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 | Find the surface area bounded by the curves $\left(x^2+y^2\right)^2 = 2 \cdot a^2 \cdot x \cdot y$. | $S$ = $a^2$ |
6c4086cf-b0c4-42a0-917f-e052b8133ee4 | sequences_series | false | null | Find the sum of the series $\sum_{n=0}^\infty \left(\frac{ (-1)^n }{ (2 \cdot n+1)! }\right)$ with an estimate error of $0.01$. | The final answer: $\frac{101}{120}$ |
6c95222e-64ae-4653-9815-9cfd31df92ac | algebra | false | null | Use the vertex $P(h,k) = P(-3,-2)$ and a point $P(x,y) = P(-1,3)$ on the graph of $f(x)$ to find the general form of the quadratic function. | The final answer: $f(x)=\frac{1}{4}\cdot\left(5\cdot x^2+30\cdot x+37\right)$ |
6c9b4f86-ec25-4c37-935e-acc9c8d1e528 | sequences_series | false | null | Compute the integral $\int_{0}^1{e^{-x^2} \, dx}$ with an estimated error of $0.0001$ using its series expansion. | The final answer: $0.74683603$ |
6cd14f24-ead8-41f0-bb5d-090488789a6d | differential_calc | false | null | For the function $f(x) = x^{11} - 6 \cdot x^{10}$, determine:
1. Intervals where:
1. $f$ is increasing
2. $f$ is decreasing
3. $f$ is concave up
4. $f$ is concave down
2. find:
1. local minima
2. local maxima
3. the inflection points of $f$ | 1. Intervals where:
1. $f$ is increasing: $(-\infty,0)$, $\left(\frac{60}{11},\infty\right)$
2. $f$ is decreasing: $\left(0,\frac{60}{11}\right)$
3. $f$ is concave up: $\left(\frac{54}{11},\infty\right)$
4. $f$ is concave down: $(-\infty,0)$, $\left(0,\frac{54}{11}\right)$
2. find:
1. local minima: $\frac{60}{11}$
2. local maxima: $0$
3. the inflection points of $f$: $P\left(\frac{54}{11},-\frac{2529990231179046912}{285311670611}\right)$ |
6d9acd8c-731d-41f3-b2a6-e84ea4e9f1ac | multivariable_calculus | false | null | Consider points $P(3,7,-2)$ and $Q(1,1,-3)$. Determine the angle between vectors $\vec{OP}$ and $\vec{OQ}$. Express the answer in radians, rounded to two decimal places. | $\theta$ = $0.91$ |
6da4aebe-04a0-4537-b2cc-214c8d3346dd | multivariable_calculus | false | null | Determine the equation of the parabola with a focus at $(-1,4)$ and a directrix of $x=5$. | The equation is: $(y-4)^2=-12\cdot(x-2)$ |
6ded3bb5-48f9-4882-bab5-147dbdbbf8e1 | algebra | false | null | Add and subtract the rational expressions, and then simplify:
$$
\frac{ x-1 }{ x+1 } - \frac{ 2 \cdot x + 3 }{ 2 \cdot x + 1 }
$$ | The final answer: $\frac{-6\cdot x-4}{(x+1)\cdot(2\cdot x+1)}$ |
6df6cc08-95e3-4b69-a68b-eb839c0fea7b | multivariable_calculus | false | null | Find the distance from $\left\langle 2,3,1 \right\rangle$ to the line through the origin parallel to $\left\langle 5,1,4 \right\rangle$. | The final answer: $\sqrt{\frac{299}{42}}$ |
6e10ffbf-706f-4aca-8017-ca016f7ab943 | integral_calc | true | 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 | Graph of $D'(t)$
The rate, in miles per hour, at which a delivery truck driver drives the first five minutes of their delivery route can be modeled by the function $D'(t)$, where $t$ measures the number of minutes since the driver began their route. The graph of $D'(t)$ is shown above. What is the average rate at which the driver drives during the first five minutes of their route? | The average rate at which the driver drives during the first five minutes of their route is $23$ miles per hour. |