A. Methods of electricity demand prediction
The three most commonly used electricity prediction methods are the classic prediction method, the traditional prediction model, and the intelligent prediction model. (1) Classic prediction methods include trend extrapolation method, classified electricity demand prediction method, and load density method. These prediction methods are widely used, but most of them analyze the relationship between some simple variables and lack in-depth data analysis; therefore, the prediction accuracy is often low [12]. (2) Traditional prediction methods include the regression analysis method, which establishes the relationship between the dependent variables and known load data and predicts the electricity system’s load using mathematical analysis. Applications of the time-series method include the exponential smoothing method and the Census-H Decomposition method; the random time series methods include the state space method, the Box-Jenkins method, and the Markov method [13]. According to the given data, the relationship between the variable and the dependent variable is determined, and the regression equation and various parameters are found. Based on the obtained equation, the dependent variable is obtained from the existing independent variables, and finally, the electricity prediction data are obtained. (3) When there are large random factors in historical electricity demand, the prediction effect is flawed and is greatly affected by bad data in the time series. In recent years, the electricity market has become increasingly complicated. Classic prediction methods and traditional prediction methods cannot adapt to the nonlinear, multi-variable, time-varying, and random characteristics of the electricity market. Hence, some new prediction methods are used in electricity demand prediction. The laws are extracted to establish a knowledge base for reasoning and judgment based on real experience [14]. The detailed comparison results of the advantages and disadvantages are shown in Table 1.
TABLE I: Comparison of different electricity demand prediction methods
Recognition methods
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Advantage
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Disadvantage
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Classical prediction method
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The broadest range of applications and the most extended use time
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Lack of scientific theory, low prediction accuracy
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Traditional predictive model
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More substantial data analysis capabilities and higher model accuracy
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The algorithm runs for a long time and requires high system configuration
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Intelligent prediction model
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Higher prediction accuracy
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Time-consuming database construction
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B. K-means clustering algorithm
(1) Algorithm utilization: At present, smart grid construction needs to comply with market laws and rely on its competitiveness to achieve the survival and development of enterprises. The core is to fully understand all users, improve user experience, and enhance user loyalty. For customer segmentation, the traditional segmentation method uses a single indicator and cannot effectively divide users. With the development of smart cities and the advancement of big data technology, a large amount of data can be obtained, while data mining technology can be used to extract the required indicators to segment power customers [15]. Currently, among data mining algorithms, the K-Mean clustering algorithm has attracted the attention of many scholars due to its simple implementation and high efficiency.
The K-means clustering algorithm uses the distance of the target data as an evaluation indicator to measure the similarity. When the distance between two objects is small, the similarity between these data is relatively high. This type of algorithm usually consists of a group of relatively close objects, and the final goal is to obtain a data group with a compact distance and a high degree of separation [16].
(2) Algorithm principle: the initial dataset is assumed as (x1, x2 … xn), and each data unit ring is a p-dimensional vector (the p-dimensional vector is composed of p eigenvalues). The K-means clustering algorithm’s goal is to divide the original dataset into K categories G={G1, G2, …, Gk} with a given number of categories k (k=n). Each iteration of the K-means clustering algorithm must check whether the classification of each data unit is correct. If it is classified into the wrong category, the data must be adjusted. When the adjusted data is clustered with k points in the space as the center and the next iteration starts, the value of each cluster center is updated in turn until the cluster center does not change, indicating that the clustering criterion function has converged, and the best clustering result is got [17]. The algorithm’s workflow is shown in Figure 2.
C. Backpropagation (BP) neural network algorithm
Artificial Neural Network (ANN) is composed of numerous neurons, in which these neurons are connected. ANN has a strong nonlinear mapping ability [18]. BP neural network is a multi-layer feedforward network trained according to the backpropagation algorithm [19]. The topological structure of the BP neural network algorithm model includes an input layer, a hidden layer, and an output layer, as shown in Figure 2.
BP neural network is usually composed of multiple layers and multiple neurons, which are mainly divided into an input layer, a hidden layer, and an output layer [20]: The input vector should be:
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)
In (3), sl is the number of neurons in the l-th layer. Assuming that
is the connection weight between the j-th neuron in the l-th layer,
is the threshold of the i-th neuron in the l-th layer, and
is the input of the i-th neuron in the l-th layer, the following equation can be obtained:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYgAAACTCAYAAACUJY7KAAAgAElEQVR4Aex9B7wVxfX/0osoCBZUxIoFFTvWGHvBghpBjTHxb+8FY0UsFDXmZ0xsQcEWRcSuiUZRAWkKCIrSpXd47/HaLXu33O//8z1nZu/ex3sKiEJkF+7b3dkpZ87MnO/MOVMcJFfCgYQDCQcSDiQcqIUDTi1uiVPCgYQDCQcSDiQcQAIQSSVIOJBwIOFAwoFaOZAARK1sSRwTDiQcSDiQcCABiKQOJBxIOJBwIOFArRxIAKJWtiSOCQcSDiQcSDiQAERSBxIOJBxIOJBwoFYOJABRK1sSx4QDCQcSDiQcSAAiqQMJBxIOJBxIOFArBxKAqJUtiWPCgYQDCQcSDiQAkdSBhAMJBxIOJByolQMJQNTKlsQx4UDCgYQDCQcSgEjqQMKBhAMJBxIO1MqBBCBqZUvimHAg4UDCgYQDCUAkdSDhQMKBhAMJB2rlQAIQtbLlF3TMA8jLfwTyGAIwP/ON1PAbf3KJu6/++CwX331GZX6Mo/AujtE3EyQKa95/8ZulsQaddDYZ4U35osTZ/On3EMgbXhWC2Kya3BS+2zjVg6ZdyLK+5xGa8Boueo/Rw0d7WXoiN+sAF4BboD3vA3m/UI7mnd6jcpVI4+laWkxqNm6TGGkLzE/qzGrfLZXJPeHAunEgAYh149v6CcUGHQJhzkNOxEmIbJCWJ4Q+kPUp45EPgCwAfgkFKULAq2ZA5POA55GcavnlAkhcPnIIkBLhk1OZI0KXMCLeGSQSrtYD7z92xf2uif8fio/AQBozcEMgID+YPxLIfLuu5CUjzioss4ERqCF54AGBB7j0QWEJuPlAwoSRsFTBLFK/CE8owFMREFGYAxkEoBBnWh7ycOHDk3eJ3KRNHtr4mGYuT3INX1iQgt3LkEeJxJqmW5CRH8uRKSFXAQTVyOa1XEku48yHOfhBRtJ1JX3Nt89EmBiT4WOeJewjDQ+uZVgQmrSVPHq3bNCAGpdNSz7+UPEk3zZ5DiQAsUGrQIh8ioI+FJlCwUFBk+eb7wJs8G5e2rYCBKVoDsimKT0xcOCz6HnfI9rO8yW48eoL0LhFO3w2ZgZeevVF3N/nThEdIlfcAAjzIjwpryTSkJJ4bQX+2vr/IQZTkrrwQgpElX/MnhDJvOd9pP2cCFTPD4Ud/OxRwvF7Jg1kKXgVUXJ5BVrG5fGPSEcDEIZsYiJBVVFIgUUpZBwKBgoQ7P0ToBQwrHBm+iLghQYg8JVuAZTQNThDH2V45sW/4Y4HHpGgyK5AzxsugVN/C4z6ep6U38vPPIZevfsJ+LMvkM7Y9D0DTDqyEvoIQi6QzwKhnxcgyyCNrNDoCa+EJwZESF7EAomA9SoBCC3r5O+aciABiDXl1M/izwfCDJDPIAx9pHPsvwJp4oL0YD1t5QGQckU0ArkywK9E/+efx2kXXCzCKutVAlgK5CtxQpcrsaRCif3zLdei570PIS0STcQmUqHpYQd0NF31IpD4sYyuR4CwUozYxXFEyB58CIrHVK5KevFkgOeST4plzAV7zzL6IUgYIGFestLzBjjKEAxgGEEEooICht4KglLBwOBkTLiyJPSfjUv5l4aLNEuJcQv7mJgLP1uio7hchhIcTz//IrpccBFS9Cf+FwGphTi32+VYWqU4wjR69LgSffreI+XIESJL0iWxHBlWZtRjCOQ8rRsEN+aB4MXRl3gw6irNq5afya7NtgEHIabYw48Vd/J9k+ZAAhAbtPgp6DLIZ8u1B5gHstSYQFVKHDWIIMpZIZUCcsvx3Yj3ceyZv8NKo3bKuGVAsBSff/QO7ugzQISMZCvI4M833Y7XX39fRiZZ+JHwDHzGvhEABDvxPgUglSUp5OBJv5iqHaEvzAI+PQB85OiBctzzFAVyRr1EgKE7+ce7L/oqw0BKSwELvlN1xJ/ylHe5+N0AhHw0IzkBJHqgSkvUOSm4IAgoefBIlIp1hClR/X31+XD89swLQMhgWYa5VYC3ELNGf4g773kYVQDKZaDE2Ffixmu6Y+DLb4mSkCK/OsyLWlEzYjIlIxmNr9wlJeSPGT35qjtjXpgF/uxVyKeOIFbPuPWZ3BMOrM6BBCBW58kv6EIDhKoH8hnqw12EYaX0XCm+M3kgw4GDNUR6VUBmMX5/fGc8+8b7AhC0PIgg9arxYM878N/xk7HK5sDLYsWsqTj+mKOw1PVQYqUFe+wBe6AUUJR08Z8NXNc97pfPP/EyJIQhRbwPqk0IEkSNsLoSyFaqvcUjQgiWSK9cbBbiy0d1Liv2i3RWhSPzlXHJGUZOEI5l0Qh+y4pIYMaEq6igCAh5jiFU4xWxyNh6JNeMJFsF5GkHADjQQaYK3Y8/Ds++8YGUT5XoyyqBTBkevvZqjP16GspMByDIk8YFWDz7C3Q54yKUVQG0FynVPnzqkzyqGj0gVyn0EEAIR9p5CBQxmHhe6eSjVBkSSPrMjaAhr1HG9VvyN+HAD3EgAYgf4s4v9C0UtUQKc6eMx1//eh8OOfJw9B/0kRil2bDZu6YqBIEL9/vvsE/b1pi5slJ6qCooQuRLynDgnnthTlkpyggo+RzgVwNuCTruvC2GTp4p/qmNQIYC2PiJJJ8V/D+WaevP3n/M/w9/p7yivUBVJ7TFqHFYjLh+SmwM9994PXZp0xwNHQcXXXYzVqRVCGbCNNKoRnXexZNPv4GHHnpB4mLeCRJp1/TsKXItuSIlY7p9qqhCVTlZMJAeuAhStQ3RPerN5znkScVwJUQul5OyonCvmjMbHdtuEysfpl0FlJfg8F13x4rqFKgBZAmIkTxcAORLsHO7jvhy7FwZOTBpgiSVWeIzUykG7UEDn8J9/fpheUbTkzwJMqn0Z13grzaAkOwwyeghwg+hJPmTcKA2DiQAURtXfiE321ZDL42LunRG6/oOGtRvjvpbtMeMlSnRMFOy5X0KJW3cX3z4KQ7f/xBRUSznLB5G4gNjR4zG2WefK6MPmlapo5aZTan5uPDUY/DPt4ZKj1Y0MiLxQngSr5Wca5vpdQ1XSIekU5hZgebnTH7ccsBfhBXfjsA2zbdBq+ZtsWDmJAS5CrTc7iD0uLc/XI/CsxQVWILOJx+FP17aE9XU3ZAssoqRyzRfggR730Y4GqSQz+KRlt+MZaOo4jhusN7FH+OkROdPEFa/k438pQO9M9Coj4ei84GdUJUPUJLLIfA42yrA+HFjcO55XVGZFQsG8pyaJmVE2qrQ/fSuGPLC60I/zSY5n/YYNVrraCgFhGXoc+eVOOLQfVGWBaosTUattjpA2DIyTJH8Kh9s/uiUXAkH6uJAAhB1ceYXcnepOsnTtjAXK2d+gSYtdsZx594oagT2U/OcGZOnsPdkOuzXn0/CUQcfi3mVlaLLBkcKgYdbe9yJl199Q0y8OiuIM6GqgOxCXHDy4QIQy63gDHyZTqlizQqRtc3wuoYrpMNZNWoIlj67Cnefc0mrgcz32G+HJmjYZBt89uUsEaYjR30Cp8kuePmNkUA+jcBbgKO6HIwefXqKqCVecnawYAAnf+WpRquWX4QcBiAiBBAY1umupIJC2S9av2DiY7xiENd8U8DSv05xNTidy2Pi6C9wZOfDsKR8ldAktoswxDW33IoX335HwDDrB2I09vNpMTTncuXo3uUMvD/obcEfASWEWpbG5iJ+/ZVAfjFeHfAX7N3pECxYEcCXKa8Ksla9pNw05WOnMmukEfMt/ZFD8pBwoBYOJABRC1N+OSfquT3AKwW8ufh2zAdwGuyA6x5+TcRWLswjyFHrzN5jhQDFtOGTcfg+v8VCLxCVEc2d+cwK7NNxf3z51VRUZ9nrBNhxlYf0Mlx02m/w2Ov/xjKbscA1Ngh6qusyAoaCKvRBGwF/vMReEAQIzC8eQz6fB3+eLs6If6rl2ahfuP6AwwgSzrmcfjn63fwnNHYcXN/3b1hiVCcUajRSi8zzU+h54xU4o9t5ApQUjmKvoSfxkIHvc/SgBmnijnyyQwF54TfCsBqdcxmqmsg/mUeka04koC9gY4cRohKUsUOIwM/h9ttuRdYlOgHfDB+Dw/c7GKVpT+0EKIebWo499+mMcVOWY0mVrnsgval8NVyWH6px9gln4u0X3xMiBYtkZpLhidglaISnEXyxGLZ73X49Tj/zDMn7SrOWgnEyW7xcO1QkL+RXPHIgqxVITIDklnCgFg4kAFELU345J7b8tKgO4M3BHdf+Hk6bjhgyvgTVIotVP65qjQz8TAUqps7CntvsjOkVaayg4PSWYdKXH+H0rudi6OcTsGDxCpESsjSAEqBqCQ7ssB1GTp0txlGfK+04HYizYkSQ1pVbBQhVhRSAgYKfwBC/CBi1AYLP2Uc/eFGlVA5ky0S4cjAErwqTh7+H5o6DZpu3wjdVARapsgweFx1QcAYevv7sM7Rq2BjDx04SMNUcaWKBm0aYoalep0ix409K5McRGfv2soAhQFXAWUmR5kgAxfMIxkba5qlOorDnGhIfgUday4FcuSx8u73HLejXr5+MDMLAQ/nUKdhvu+0xd3mVjAK9YBm+HPMfnH3eJXjvkymYVw6xQTBNrvCowjKkw1XouNvB+OKzaZIuAZbUcgGlSHFDv64IqQaCFVg8dQTa79ACf3/9DakH7EaI0GcmRX1FUOPo1NQhFmE0RVb9WjD5wSJKPm7SHEgAYoMWP1ste9GVQNU0XHTqEWh/2JmYypmd7I5S9cSZOTmgUibj+IC3CBecdAgef+3fIhgotga99DQ6dDoYE2bM1x5kzqzeCkMsnTsZJ594OJasUEFIGayrtRl/bZlXYFCVjD5zBGGBIi70XZdiTkcU1p1AYd1ri73IjaqzcCXgUXWisuzLj95Au+YO6jlN0OvhZ2XUs8BM5xWB75cAbinOOvEM/O53fxLhTmuECFxOE5ZFhBSs1P0zt7QveCjPqFWGKiRRYVH4etqbJ5Rw1qwMLtLVAGcXeauAoBJeTvlmLBnIc70J5iBTMh3HH3EQnPrNMGL8FFQILz2gci4uPfEIPDPkQzPC8zD45Wex814HY+x3i4TObBjCDbgAjyOVMsyYPxVHn/wnpAQgWUBpnblFdRdnJxk1k6z/EIZzceUcnHlyR+xyzNGY4uo6ejH0Mw4B/jUBCJZvciUcqJsDCUDUzZuf/YvupUNhXonslBHYp1Uj3PrgkyIUq3JVePYfD6N9y23QsmlbDB03V+a0IFiIaWPfxJ6df4NF7CBTMAU56UVTUIqcYi9bZr6kcOtt12LwkFeinigFaUb08Loid3WQWB0gCBaBDElUzRQfQcSfazKstlFFkR+q18IyTPz833Cc+nAcB5s7DjZzHDj128Cp3w47HdoFS3JUxzCfVYC/AN8NewP1GrTETfc8Gs3aqTaGYgEy2jCCDL7/ZjwGPP04Tjz5JDzy1DMyQTUTeOK2S4tm2LrxZvjoi9kyLVjGRFyMyAWEuQqMHvkhDj98XzRp6sCp52C3Q07FrFIXmfxSnHxie6GzCels0gpO461wS+9HFOyzi/HNf17FIcedhhnlOgsqm83KCIOL5qSDL389hCGnuaZw1Q3Xof8rQ5Eh62l4Jg1cQCn2EJ3ubMdsMrpguNxMvP5iPzhNNsM/3h0pdUMGHvSYD8XITWDUoZmxo8RGEFJPTD0oKpPkJeFAjAMJQMSY8Us/cupqStQgKXz4+IPYub6Dj0ePFYC4/o6emD19Ckq+G4f2LVvgxG43ibuuXajEgOf649zuF0a6ewoeipRylzCRAbzl6H3X1ej5QC9VV1E4mL2EZDKO9Pxry3ExQHich09jss+uqfY4Oa0zfqlKhIvXGLNemQyp+ZGLPd2Ae0fQ7kDJlsEbL96Ppo6Dg444XfT1VZzRQ9HLqKmyyn6Ph265EE6jFnj6gy8EILjKnH7SkjxprMT9t3VDywYOGjtN0LB+W3w8dpLo66+/7V7MnjYLqVkTsV2TBri93yug8T6UmFaidOFMnHLccdh9306YMHUiECzCysVT0KxlBxzX9RoRxG64DG8O7IPNGzq4sd+joFWAXBf25Dj6qMCA5/+J08/vJsBNDlobC7cMkQ1PMhw1VeOWHn/GPff/RfehotTO21lrrpnJBHB/LQ6IFF5SgLsUCJdi/Ij/wKnXCmdefLvOpKIfkfyhzPKqDSCKS0TLs9gteUs4UOBAAhAFXmyAJ+q3OYOmCpeccgI677oLqgIfjzz/HJZWVovBdu6w97Cl4+CkC2+JdPGiUMmnMWbEp+h9fz+Z0kk1BIUkf6nsKrz23F/R+65rUeFxQzcVHNz8jvJDNvSrS8MkUo6CQ38vvPCc9OwbNWqAevUceW7cuLH0+OvXb4gGDeheT9ybNGmCXr16waqbflTVRGKMEZirkIOK+bjonMPRsL6DHvc9Jjp85kdwh+RkXSA9A386ZT84zbfF698sE1Bk9qieEb8EHE7o9SeL3w7bdsKRnS/EomrgirvuxvJqeszh+2FvC1+vu+dpVQWFK7BoxlBs2XpznHruRVjpk8tEnHkomf0FGrfYHSf/7lZw3hEVOhd0OQ7NGtbDx1/P0gWLNO2IkYNoECKdLcWoiaNxR+8HhS4ZNETymMyvxL+efQz39HpAjcWcdJbOgnYMdgLYeWDtkAGBRmkAgqOOUiC/HItnTUbrlrujwx4nobxSF+qRBO5JxTg4i0tBxVRtkh7/GcDfABU/SfJ/hAMJQGzIgmIDzi3DipnjsPlmLfDAw3/Hs4PfwvzSUmS5ICtM4a9XXI42joOnXvuv9FQpHmRePMNyDyCP8+VVB69KCWaIPXPVw1NcllMwUTB4rggNCh+GoX6bzsWXAoMFCN45erA2iGK/Omqws5ssMNDPj4KDjUgEFqXjIqTnT0Cbpi3g1G+Jz76dXlhxTPJJFtc+rJiAo3feDE7LDpjMvfoMuVxZTYDgDqwCEJiB5dOGoW3TXXHHrf1xw71/x4IcwZK+KtHvsguxnePg6dc/0JXnmdm45KzOcNrsgLEloaqd8lzFPRO9rjwPzuZ74cNxy4CwGiUzxmOrzdphv/1Ok32VWCau8DTUTVtdXbCWsgYkGsQRIpPNiW2cTNdtE13ZuVUKweSD7CAwcG/FqIxog+B3fmRctFl5swFvGfZssy+2b34gSpbbPbyYNmPwEIQ0rfPZlDMfTDrimACErYXJvQ4OJABRB2N+PmfbQjm7hOsfFuDtZx6E06w1zrzqTjwz+H0RDMivBNJLccDW7dG2+Q6YWZKV6Z46W4UWa26/QNHEeftBpIt3gxB5ShP2aN28bNchgpPLlWlslkV0uoWE7Z0W5zVGHwWIzIjRqa6ULtbmEER7HRVC8xu32RY5VCv4FPzaJ9lQljp3bybeeOIuNG60LfY45BwszAYygqC4Z3yytxJtCxVTcejWjeFstie+4mQifnfZY9a+sisztEqB7Df493P90LLBDvjjJQ9iwJsjZPaQiH5vCTpu3RpbN9sc368qlR2g3u7/AFo6Dp58ezgWAighG1CFR+68VGwitz3YH5VMxFuO9556CI6zHW67d5AYkGl05jwn2U5PtjFRlRNdxJ6QTQnAkt9CKDfiyxOkOULJwOMWKobtXi4vYCDgIKMBzZcABP3wQ5Zm9XlAZg4OaLM/tnH2xsqlmiZHiwSrnGwbb0cjtQCE5K/OYaQtnuS+iXMgAYifXAFMy/6BeLixnPay6dfMLqFw8EuB9Hf4U5dDZf3DEeffJTprsSH43+OboS/DcVrh5O43yywZ6uM5IuCup7JJnEz71IQpN/ij4VtFSqHxR8ZL4kZkKOVWG4XeJWUfLxkpEBQMMOhigBB5swKNIGAFtg0jDkaIy8ItgS1Lj4nY3BimKBw719wSw52M/3fWAcKHK/oMFnBI0+ZgBkMyq8svAyqm45h2reE02xuTKxUgdO2EymIxQ9AcnZmIy07eQ/jX7eqHUSZnNpBJSzF5xNtwGm6O48+7RLa0yIcl6H7ikdh+sy3w7cxqjJm8Ao8//iTatNkMex10ID4dP174LuWSmYsLjz8EDVrujX+PLxUA5nRh3Uo7VHaZWUcEARn6yPAnlu8IJ5h5zrKiHUa3dRfEM2s2aNrOypYbnPVkVofzLpsDzgG8+Thgq/0SgCiuYr+6N2vzs3c7YmdbLHTY2Pr1st+tbdD6sd95r80t/t0+JwBhObHO9zoAwkjC4p62bm+R8zgO4Fz8EmRnfIJdWjhwWu+HSeVAKSUcp1m60/HXWy+C02BbPPq6Cig1xurqY1kPQJ08kzcSV4UUhb7++FHm0hsS5dAZ07P3Au5XVKzn1miM55hwy8tqb1ZAftPkFIx0V1UZsYgqqrC5XSqnu6tKnCZNBa8CcAndVIVllqPim9fRfgsHzpb74u3JWZlxJN+FH0BK1i+UA0vG4ei2LeA03ROTuYRCCDLrBYxahntQ5aa+h302d9CgxQ74ZiXHAlzrwBHbPPS+4fdwGm2Npz4YjTzKUbbwK7RtsQUaO1ugvtMOxx/bHffffTemTvtGgIr9dY5kaCuqmvIp9tyyAXbv3AXfm9245ZNZIMhnNlDbOPle91Xo6TOveZ4exPxyNnNAw7uHaqRQLUojBQjRVrEbEc5EWD4Ve7fpmKiY6mbwr+YLBXq8TsXVufFMsu7xZ1W81h/DcxKJBZl4XPHwNZ8TgKjJkbV+NwK1ZjgDENZZC4fijL1GSgHaEKox/dM3sIXj4ObeT0cLnmRldeVUHLBdMzRstRe+XqaCkEKZs5SoVNIFYzFhKwnZnizT4M98pzbLGhzyIXxPj8IkFVytLauTI5wpBoh/Pf8cGjgOGseM1I2aNIZTrz7q0UhdvwnqO/VkI72mTRrh9l6PImXWbORkB1IVbFQF6YaDFOZ25EL6uN5gMZ6440+iyjnq7BvE1pKyeMRRkxuqgOYOVBXjceXxHcUm8O9vdDu7FLdx5RqINCfwsotdjXmfD0Fr8rXno2KEFvUQdfepmTi8fUvscvApmEOisBTjRrws4HDO6Tdo0UgPnuBZzZMp5NQ2QjpHYnNHva/G7Z4PS7zcersmILDx2YZpy7+uO0GTNIc01pP1LBRu4ys1JEBa5leFMsDIVpkOAVWTwUyULRqPNi13TozUdTH3V+JeWclVOHqxblkhTxcLCDWf+W7rYF1gEJ91qLGv/jcBiNV5spYuPwwQcm5BFKP65SZ5NCDSotnv5huwTZPmmFfmiVFWJ4dWYurQQSKI/nzvPzG7HFhcmovUQxSvYc6sBq4Rd9EowJwgJtoLJs31EXJAkYuPh32O/TofJedDECAILUVhzQhC0qG+PDbNlftH2RGEBBLDgxrMKXPZ205zG2w+SboKVxzZyFQfsYWQcK6kpnV1NvbadnPUcxriqSGfCx9ELUbCGEs+D+5nK6coeJPxf7d0h+Nsi8cGjZeRhtghxCelayW86gXofctVaN24KZaU5sX2wEOYCBzzhw3C1o6DW3s/hSklIbLuUiyfPw6tN2uNTnsfi9Qq1QoROHVPpmq8O/Q9XHzVraiqyuP+K/6I7Rs7GPbVVJm9NGvBsmh6LxurvWr2+Kx7zTtzSPZFRmjukeIDn342EvsedhSWVZcjG5oDQbhOg+XgchbTAowb9RacBi2Saa41mforfWedotC39YzPdKt51TZSSKVSEZjUBRg14+F7AhC1cWWt3CgUCoLhh4NySwqKTx1FUPjuuvVO6H76haIqKePQULqQ1eh5xfnYsVlT/Ou1Ebj05kdlxpHMCGXoMFBDdKS6YapmxGAJEL23zlbiDB8Rtdy8btUCmYkjQpzClzp+0aFbTRU9swttfpI36tYpfHX4KumbEYeo0Bg5wYcwY3T9fOOmdJKwJM7wakyWV8bLnrC/CN9+/g6ces2x52GncAKnGINDOY+bsVBtxaNEGZ7bW8zE1yOGwHFao2fflwVM2LvnKXKycSEnA/sLsHXbnXBO92uEHu4uIs3Iz6HPVV2xU1MHg94cjj/c8Bfd+RwZ9L7jMll/cfWVt6IqrUsu5i5ahj/eeAMuvv4qVFTTXlSJg7drhyP26oSFFTlc+8BDWFZOINSLDdM2WNuI7bc67+SXOXNcaKS1OefKSbPsNyr4cWqujry486xsT1I9E6+89Dc4TVokC+XqZO7//gc7Gn3ggQfw2GOPSYZsHbO5Y1076aSTcM01rO/aunjfc889MXPmTPFm4+GLBRrr18ZT2z0BiNq4slZuPwwQ7FQWOpbWr4+q6jKMHjkGDZwt0Oe+v4t4514/Lk8Z9srwlztuENXTw4+8pAfbi7JdCdNpp1oRRC7SmQJafkZyywhAYaNcNvCj4KdAXo5vR34Ap/GWOOF3l0lvvzB6YESrA4QYqI3Rmr0Wpsyf6jnV8m2Hs34ugJvV4zEp3uUSWnRaLukVQSgAwbUei9C7x2Vw6m+Nmx95Gcs9nfsPnpLG3lI+gxw38xO7CoUjd6Aqx7mnn4tO+x2F5T5kSqqkJSOkRRg3Wo3QT7/6oa5NYM+bBBMgbrwYW9V38Ne/vSATAkQA0wCf/h4P3n0pHKeRGLabNGmDiy+5Cl99P1f85SmY3Sr88bSzsGXDzXHh5ddiYcqVcmMe2UjjoFCzERtOFN9IUwikUzRGG7541Zgy/FM4jdrgpHMvhcsT62QkxlXnrEw8crBUFsrdcful2PmYY/FdNtlqo5ixv663V199FTfddBO4It9e8ee//OUvsg7phhtuiIQ//bE+1q9fH999911UN229XBP1EuNIAMJyfJ3vVujXHkFcaHBPI92ywvSMuT0Ee7cUEmldAR0dmMNjSCkgeWgYZTZ7mhxSmo32RN6ZcYPo9jntNQ4QJIsn0lE3LyMFikJu0bAAcFfgmlvvw1ODPzE91GLatWdh8mVnM5kKZ3vJTF/BhD3bnBz1qUKa6WrYOJjItFxZu0Ff/E5/KVTPGYNWDR04W3fEpFVKa55CkQZbl9NmaS/xkc5wPygFPNdPYdKY/2CLpg6GTZ4ghmQZad3Y9K4AACAASURBVBN5PB7mqWdpcBKwIhmlL9da8IhOTqn1ZfEdKWGQTLpC1H1IVegiQhOMeSTXJF8kmQ8sJ19XbluhzjK2DU8zpo3zx3toBEECpy4GlM5fkJENHG+++W68/PJbWqZyVrePrO/pICnwsXz2WGyxuYO/vz4ksl0J+JJGKbM12YvJUpvcN1YOzJ07V4Q/6WN9snXK1jd+P/bYY9GsWTNcdtllq2Xj5ZdfxllnnRW5s03GZVL0oY6HBCDqYMyaOxtB+iMBbIFSOPpBVn5s0KLqkUatKpdsoL1lcB471Tohe+oq54yEkrUM1FszGH9FAEFyTM+Ud8ZfLgfec/O6UgWI6oXYtdPRmLlKv6uwr5kBmy+d4spKZSsW71QzidqJu9HmfRGkFKaCaEFOFvAxXuZRLrPwjxnS9Ih6Ll7r/1e0aOTg8cEfiaATVuQohDUwLQFcGcxA7EAzPzIbKliOu3tchFPP6yI9fElHwjDenMz8IeQKVlE7RUEsdh+Da1x5Lmf5UMwT5DgSUtalZY0C6WRjEou7lbmaIXsUqZw5YTOodwugxa51vSnquNycjxmgniysRpgpxV77HobFK7Xgg0DP6tapviQ3wJ23XY6zup2UbPddF2t/Je6nnHIK/u///k9yU7MN0vHkk0/GggULBESuuuoq8UcQoV8LJrvuuiteeuml6BsfbFsWxx/4kwDEDzDn5/lUELyUCbqwicKQAkrVNyLszEpp6WyLRGU4ikdZSy1ClvJQ5SiFohlB0Bv9mztDVAYi6nSbanc+Zox6H8ef9QdRzUQCt2ZmGUf8V+N7YcoqBWgY62nrdtwELcYtk6fkrISVePnZv6Dplttjzoq0AAiyKezabg+c3uUC8SsAI09UJWnymkdmxtAjd4KprjTvenYX3HZvLx0lkV7uZJvnPC+eb63AQl5E9JK58q68YxB1KKjo6EVHDkY/KHYa2moM4pnw9KfhJZK1/mPTyXARIzNKw747F1PGvI9juv5JjOCsH1xQx/laATcrzLkY/NRT6HBAR8ytLBc6SRfpJb95Z7xaAUgoeWcIjlFosxJzSh43EAds59GqaUkGhfuoUaNE8M+ZM0coo5sV+nQYPHgwhgwZIm7c6PLKK6+MckB/FgT69u0r9oi4Win+HAWq5SEBiFqY8vM6mQarEzKLAYJCwiyy0uZOQakCmBJEDrYRhYqeiUzBsBpAsOXzFwMI9pGlF05w8Reh59UX4uW3PhaAoEBR4Vkj1zYee1/tsxU8elc6rFySiZsirERtQi/ZpTj39COw+36HoMIDvvhiDI4+6ghcclkPZMzqY8mrl5HT7opHSEzcpsdHo4sniPppnHPOOej+pxuRJq3MD0cgwpmCYKTQFMFporHvKkwZiH4trwl4+hN3fiJgWb4yDp2cqgmu419GR6EuNHBWGqcFu3PQ6+puGPjOMJnuSxN4taebeSBI4cEet+DwTvtjcSaDlaSDgTkAIovNj2UqlwUH4Z110/pRR7EaT8ntl+SAFeT2btVA119/PXbbbbeIFAsO/P7999/L6IEf6U6AuP3224tsEHY6LAGG37/88ssigIki/oGHBCB+gDk/zycjoYyA4b45FEYiz3SikAoMmbXDjfwoQjj7hyedyX6tomOXHrYBE5GLItwo4FQAqMDTaDnFk9txiJE6tQAH77YNxk6aiSVGkxMJ37ggqTPzBfqLw6nqSISoEES6M6DRWmiCi2nTvsIO27RBo3oO9uq4N97+74eoyudRyV4/oyXK8Me1D4HtxZvgUb5IGD2TF8ofL5PFoMEfoucDjykoUeyKzUGn7jJKvbi2QeO10fFdBDT/8EWEKrmloxBxYmD7nUmbldMSzka9TnfNdODrcUQyq6tyCQ7dpS1GfTMDc3N6uFBloPkcNOBZ9On9MEqqXJm6K0DAP2S1sTVJZ8DSIuVQqBLibDNuqon1mtw3DAco3OO9fVJhgWKnnXbCddddV7TuwYIHVUuLF3MfYQUIGqNpg7CjkXhuLIBce+214mwN3LX5jYfjcwIQNTnys79TKOhP1TAqiOICSAUPRRNHEAoQKrC4GysnP1JgaDSF9k7/jNdcpvfILRr4RU9jc7Fg8mh02GFLvPPhMBm9aFoFmmzwuu9xv7H0JJWCjJduLemnLjQIkZHDe8w6jFB2KRK5xnlA8i+X5wJoDWZoJrAJfTaTRdN6FYBUtaYCnOBEsKWhHzxy00j3Qh45S0xVX4ySF7/JMx8kO/wjHJM7nyS8zbZ8o+v6uGgE0S0WXTn/wcXCr79Ex7bb4J3/DpWSrpAOBA834roZxQKOjxhK6I4BhH0U4CB5JpO8mUd9iF7WRx6SOH4KByi845cFBwJBo0aN8NBDD8ln649CfcKECbj66qsjMKCbBQh6pl+6MS7++E47xPHHHx+FsaOLeNq1PScAURtXfpKblST2XndkVO3Q8CgqHqpNjLQqVBmrF2ePliMNjiKoXjJW60i6MQ1NT8PatE2v3pAgZylTEPlppL1QhIwIPxO2CGDqJHv1uCVNjmAkP4UeughazkLKUvKHctqbZ9Q/VvDSOsJtJVxmlUZfdoEJECHzagSxJCCWZhkhiACkG/eSCn34XCNAr8SFkJOFfQkvUtEmJCM26vIJEEb1ZLNigIe8EIM/I6NNR1RZylomR3oI1KRZ4mZ4oa1OZv3IB6vWovrQh0eDP2cx5bJytoW1P3gBOwWaJm06lZkABE8pXZkOzHi0rDUPhWSFTUKmyWzBoeApedpoOEBg4DVr1ixRC3EKKy8r6Pm8ww47iBvtCNaWwC33Odqo6+KIo2PHjkWfLRgVOdZ4SQCiBkN++quVOvb+wzFG8kV04AwTkzn8SCc7vVMEMEcROrvJAkohBQUbEWAiMSlFVPpFqp68LnqjIGFV1PQtrZp+Ib7angp+GZbxaByMraDCobsQT4NxpsKkpmFJJRdJ89hNpSIEFxBTGyWRkWYujuPurVaYxwBIm5DGr+mYaDhA4QwrQwcP5xECJQCFMEdrSqOokiwAGP4SeCJ+cPYSIzc0ETg4MiH4CKDTI7OjAWpj1I+7MSwNSXICnE7nFZTzdR8rJh3K+RYZKLBqcgwmyZN+AQ6CB38G+Mx360/vWjciouzHyCF52FAcsILa3knHF198EQFE3J0L5jiy4IiBdoX4eSx8569Lly4yUuAowY48Tj31VLRv3z5aS2FHGD+W5wQgfoxDa/29IEBVgtj3OiKKhAylmKqTIqFog0YAQXFgGjq/iQQpCCkKLoKD/dl48pzPadMxvWX22vkrppGefuyyRKnfgpxhuirumRMFKReBWaTGqb0UftwHir0k+uFPabDrQ0IEnNHD3n7Io3koNJmnGmRKWI4GPNnETwQ2T7njnkxFNFhJyrtJ0RIsAtUIVROG7FTJW+At4yYNER2Swnr6Q1qIYWJkJk90pTlpYNHkpXg4E4sjRhdBLiW8E34IruioUlaZMz9mqq7FVObYZpcJaf1Qt9iH9ZSZJJp15QCFtRXkNo7Zs2dHAGE33uM3O2LgM8PxZ9dK3HjjjUUjDRsX/XAEsfPOO1unNb4nALHGrFpTj3EBGn+uIzy9SItncyZA8KfqBBHq5ju/Ul5oo19dRcLYawOIPAWuEUS8y8K8mGBeXwBhhQ+FrAhaMbLbefwkgJSrFZ6NweZHNwMhjTZ3zLAuCFTDvPqI8iCRc4aRAgRtDuKDPX5ZiKgrsWnzELYqY1QSs4dti0RsNKSCDtFAofDd8J2UqlpJ/UmkJmLm+SddFPLMtkw2EMWYbJ7I6BUc+KBqqNDlfCYzi0EIpnsA2nB0exYDECZLjIOskriESNKqYCvkFz78pCwkgX8eDrD3z5HCgw8+KAnEQYQjCr7ba968eQIm1gjNb/TDdmb97b777uAogm42fE1QsvHF7wlAxLmxQZ+1ARcklCFGWnOhoZvXWhws8fF4YhIiCqhB1XdMYNjgVnDUdY+RFYvShl5NIEUfIsmsLjZ6fatBc+S3DvokWzV79TaOAmsKaZsnm6i9xwR8lBf7LXLQnvdqca0vB5OOAqzmV6IuosPmjXdzmXB2dCP1pihMvJxtoOS+sXHAqo+sICd91m2XXXbB5ZdfXkQyv1kDM0cTFPJjxowRgOCiupqX9Uuw4XoIa+OgvwQganIreV+NA1amRB+sQ11349F+jsIlDwkHEg6sMwcorOMCm88cEXTo0EHirDk1lUDBFdbWFtG0aVOxR9AGwZECL6uasgBCuwavmmmJYx1/khFEHYzZVJytaqiQX9NbtQhg71GvXn2qc6xHW4ggeUo4kHBgLThggSE+iuCzFewzZswoAg87wrD2CI4SLBgwWcZn4+KI4W9/+5tMc7XheF9TkEgAYi0K8tfoNQIISny5KPSN3cKCg3wr6OupR0oAwvIruSccWD8csAKcsVHA88fRAHdptRcFO/1Z1ZFVGVmQ4d262TCcFsttOXjZ8Hy2IGL91XZPAKI2rmxCbkUAEQFBXQBRcE8AYhOqJElWfzYOWMFuE4iDBN3sbCYaojMZLo/Uy9of+EawsPHY8BYkXn/99UhNRb8WFOzow0RX5y0BiDpZsyl8oFE0Nq8/AgizyZ2igLF26kI1a4VWYImNKjYFdiV5TDiwnjlgBboV8FawMxn7/Morr+C0006LUrajh7gfPtu44s+0SRBceNlwjJfp2TTlYx1/EoCogzGbhrNRJ9G+YMEgmo7K8aj5CTOKAUJnWyUAsWnUkySXPxcHrJC297iQtwDBtLnlBldV058dBVjDtaWNYe03PnMvp/Hjx0fAQTcbv/Vnw9Z1TwCiLs5sEu4JQGwSxZxkcqPngAUIe7cEx9/jz1ZFZAW+HR0wXBxYGMa+2/AWHGxYm1Zt9wQgauPK/5CbLeyahU9368a7/cUrReF0Ox1ByNoxUTlxtKAbosooQt44WijYIJIRxP9QJUlITTiwjhxIAGIdGbcxBbNDzbjwt8/sadhnS3McOCjoeWqa3VQyb44YlW1+ilRMHG3wZ6+a79Y9uSccSDjwa+FAAhD/4yVZc/hos1MbKFhgsH70XhD0di41Rx/pDDcFrGGGKApYCFfknLwkHEg48KvhQAIQv4KitIKfAt7qJu2dowurhrJZJXhYAAn9QDbQ072SzAgh2tBPN+AjUBRUTfRjjNPywcaa3BMOJBz4tXEgAYhfQYnGDVTMjgUECxI2ixYU+B6BhAwTAvg8h4CbWfNoBTPLNeB5CxYbogeCg9k0LgEIy9rknnDgV8mBBCD+x4vVCn17t2Bh1UVxkLDqKGbZjjp4TgQP3dEzylw5qZOmBj1GQjeqExzgwEEeCA4EEzM19n+cfwn5CQcSDtTNgQQg6ubN/8wXgoIdNViib7rpJjRv3hyTJk1CVRW3ii5cBIrIP09xCzz4YQXmzp+KttvsggnjpiHnBdG5EsUAwe3IUwlAFNiZPCUc+NVyIAGINS3amDol9rimodfe3xolwjONs+YwHO3gcyTBUYOXD3F617NRVWXOrwbkNCmugLazkaKZSggx4auhqFfPQZMGrTH+i9kyWAiiQwkMHohtgqMHAxDRqGLts7fxhTDTeO1AyRLIcpCyKPDNftL72roXh97gbyZ/vNnzI4SmKM9xCk1e5VvcPXn+tXIgAQhT2XmTR/nDhqDv5nN0nCPfo6M6oo/rXj2KopCXWCNk715Jkbvvh8jz1DDrL+QhzBVyjjGdMsYvQeC/n4/AXX36ynkzFhM4KuARMzypTWazykE1QI4nlmEZsqlF2GunIzF+1BJJQ+wSjJjAYPzyeJo8VUx0N6TKs/FnOWFf7d26F/nlx+iykVmHH3unP5NhG2Qd7jK9V+hQ4ONjkaCMyKA9hie+xc5sENYYYCnKKMtI3SP/5nuRN75syIvpM39yYqGe1U2qhSxWPDl1TwnUjgXXwfBXg++15WM1N8vIGmE3ZP6TtH+UAwlAGBaxPkudlj+1VeKC22p1/0fZXLeHonTlhQ3TgADfC8lqJEYlBIJDphL/eWkAdtxiMzj1mqBn74cBHtXpV+HW3g/hs0nTdH1DodUjRFbOeiZAMJmcCAfaFRYBfgkO3ONkjPhgjmGGWRhnyFGR58kJa0KXlaQ2E7ybK+4Uc9Z44x/jAeyz3JnxGpkviqjI8zq/1AQIGupttqRCRGQQIAiOari3Ceo7OWMrkP3CgMoxyUdtebZeN9SdNJnM8mA7HthqDrjT40tpmyraudcAhOm1FIojVk615tMykfywzxsq00m6a8OBTR4gokpuKjZvbDNy2cpu3MQ95sbHn3pF0dkHAYcYQNjee5CH6+r0IjEqsycX+vj9GWdg4uhxclApTxdDsAhIL8SO+x2NKaVAlu2RoOKlEYbVRUea8jRSAgSP1ARWIlu5BHvu2BnffVUmM5kkb6Y9kzwVd3qSWyQ8Ld01GGGd7b3G5wJQrPYhlmBEgBHA0Tv9rKcrIpBp2CNfdZQQgQf9SO4JjgQQk35MeBIoxI+JL4pWeMtwpl6Z7Cn16zEf68QO1jMdEdjcR5yO6LQTFUydjNy1CCOBbzNs70X02EDxe5GH5GUj5UACELZgTMWOGjLdY5U9chc3VnTbQGwE63aPJWHSY0OMAUTNaBmAvVg/AwQu7r/zdgwZ/DqqaY7w+WceJn86GCecdyVWUO0k/hlfOQD+XDlcpKAyYmzsN5Yg75Vjz506Y9zIBQgFDQsdPkZDwUgBIp/oQDbwLmkUE2qd7b34azyc8rLwnSkYAS2OfDdiS9KxQqYQ4ic9FRHIdPRMcHEu+sZ0OXrgz9AcAQQpsOCieSOPhNw8wdez8BHJU36M4vlJGfgpgZkP0qfnfjP3QjOj5CehkYBoRk38yIxF1ZOezM/yyt4jsmJ+rF+5Rx6Sh42YA5s8QBTKxlbkgktU+elU1HKMwIp7XcfnovYkL8UAEQTcbIu0mZOi2O2nSM9UmummFTizaxeMmThfe/3ZEjx0y+UY+NZwLM6r2ArDNO64+WI0qeegoeOgUYPGcByqpTaHU68RTjvjJBlBwC9Hx12PxNjPF4hqyqcayxIY2SBUYIg7ybLfa+TfOtt7jc+FcPQQj8YEoByKgCguiGMRmqCrRb1WDiY+vTFD5G8kAYVOTcd+o0A15R+nSwAiNlIQIWhUdCYvEg/BX/T7a0Xlz+TZ5kkBIs5vre909+Wf0h7HA/0WtRFlYHG5SiCmEf/9TFlJov1ZOJAAhGGrrd9xgSf127LdeNAbK/z6uaJ0o+iKAYLOouow3yP1Ut6THj9QhtnzZuCCP96uhudUBQ7u0A6jv/0eiz0gLaRSqJXrKIIGaWqijL6Zoo7GV6qY0lWLsGu7zvh6/Ep4IiOLBSXDUFyISoqEM+7VMyCUWmd7j7JnH+wH3uUyQsS8q3E3lr6MKtYf322q8buSFKMjokWzqRkujBTUv/lGVY1wx8IHeWpUgoZN+oVuBjhM/HEafvlnza/NS1SeBvwUHoxhnp7oXb7FAMIGtnd64rN4NvyMnn/5HCYprjsHEoCQiqsCU3tQbOhs3Oom9Zwv0qgpHE3PVnyw8v+0K2pTEk2sMZkPBAdRHZlkBCCCLLx0Oe6/5xaUlczGiM8/xSmnXYKyMmDUZ8Nx3nld8OHIj7Bg1TJtp7kQ8AMxPPrptEyDZS6pWMr4eeh01pXw3RXosNMRmDh+BXL0bhu1pUVEIHvJrgoAIyx+GgdsaM07+Ss8X43fFDpx1RPDrR/+Wwp4Z561HtjoVQcf0SWLBDnNV+kUWmMvChN0UCDg9yg+GXkQYGIjM4lpI/kjmTF1MAIIqhVr8ETkP/nC3MYYEYWnu4mH94hJhXzSqRbngofkaaPgQAIQRsgUKiwrtwJEwY1lRTfVxRYq9voRUBpfrEHFGlWcBlncJvYJD/lsJdpvvyXq13fQqFETvPLyB6D26aV/vYp9Dtgbk2eNQxBfr2CzJSRr78+Fq4AXupg3dzzabtMcjtMajrMdXn393yrYLC2mndc6gvgJVbmIl0aNJW7GWE/hKgJW6KgBEIXA60xBzSii9PhBeKU2B7orXRTwnBJbQ8CZiHTkU1At0VnDMQQjLIwsNgYJacg2tMUqSaRSJEBox6iQD5sXYZBmMMoo3RiP+UXuwrLoTx3O0ffkYePgwCYPEFLp2Yi5viBkb1qFkGxZwY/cc0KaT17bs+5BgXQ6vV7ad6GhsGHFf1pBTHLyojRR+LiAXw3QAMoRhhHejIsL5NSomEFeJi4yX0bK8i7ZodDjnH6d1x/Kgjgzw0mM3Tq6SHEYwcsQyVuRADXu6qnuv/HtPrgFiN0WhNt9xLf/UHflgV3/4fsc5/CkLJ5poWnoluR1p7cuX+zqcskj+SmJ2fJQFsgsMjIzX9js0M9pGZAvXkChyNFVTkZgfFNAKOSZ+VB+hGaTxHWhdv2FkWwKXwl8HBmZ0Y3wgOXtw0MuKncCoN23i21DJjOYciEPfY/x+MiHLLeYKo1+jD9Sr6/kb3JtzBzY5AFCcMEuCgq0p+QauSiSlT1Z0x8SZ7YI0TfrVPGfWriFdmOFkb1rzPyezuiIhq0qLyunKYQyQJiThkZBRGDIcWZTBDK+qI5s/AVBwHh1NKS9PDZ4zoDn4jdf7KdZD0hRK2UzJzwoqFqEDzZi66eOu93Sg8Bgn+mVwsQK4SKwjdKy8oRU+PCDfGEkIXksts3UkfwaOIfRWb30TFp4saOgXQUtDwECI9ioreMZGmFAew7rA8A6I30JAW0fotUj5QGFbkbAgywzkjESpFpekuQv/4f1KSpH0smJD8VCnWokQgRLwRXbFflBEPEArwCOOU9yJ3yR8vJMXbTx27vJZWRj+uVznaS4FhzY5AHC8irwM/A99rq1DWvP1vaEAHYUZQIRm0vO6KC1Tdgo1ulu0ysI9tUBgiCmF7t1ZgThVQD5NDJ+WmwJ0s9mZEYyscGaPpw0bgp1xT328NRQLZ1hcfThuzRie/DzOnqgr1UZxkCGUDwoEYV4DKMKN/Vr/9qMcSEemRe7KIQpgONXLjQjtFxOjrLLeArWfpbTefVZY9EePHvhP539ITh6khEJhSUzJ/wN4PqWXx4QEoyVBZWu8kccOPLK+whcAqyewJetUvsMo8oGXFjnCXBbduToVQhnhMxRMR/iPPnZn0kHkxd6OIIkQJh3S6OASB5uXixPSHEkRz9epfCF+Cjg4bOTwqgYoY+cR1uXsVUxgP1pCmZF+gbMu6Ejuf0wBzZ5gGCvNq7aILuoBuDFys5vdudTZSUr9fqr2IV2Y+O1d02Ngr5gpDYA4VYBIfdY4iZ81dLDSxmdscicbCg39uHiYwXVplM1llbpx5adB7IZxsMRRA7MOrfssKtqtfkbtYOADFVYxflXbim90V+bMS7S84No9GB5yc/ZnKpe6KbqmYIg4fec2XecAMN37dHzQY9QjdJa5wfGSCYYNBCAyIoboTFN+R+U6Qwws/KcPBXeEMjI3Tz3wvKArKs8pYrO4wiEArcafqh2HqZCjZ1oYEIgk0mZtIt5uc5ZWdeAtpzErlLoIClQMiNaJjm4qIYreWf+EJQDbokMoMgJ/pjHrM+yYk3jG+urKVNbrfkuTpb3Gzj/68q3TSTcJg4QrJxakZ97cTB63tsHvqu6+NtvvxNO/UaY8NVkqQrP/vNx3N/rTmkvqWxgdOemEfyEymLbj4KObUXaaOw3ueeBqkoudKNQyuCLYR+giePIr0E9B06TLeE4reA4TVC/QSM4DR04DevDcRrCcRqJuzzXd+DUd9DA4a8+6jsN0KRxfTAObtbH9RFndbsKVYGuoVCIYS9aGzp10vzJFTX2WhhgiLd7RxEE7NGoHJ0998Lz6NOvL+zo6I5be6BRw/r4fOw4pHMeBv/rBfS5tyeqXao4ABlJUAVGm4tJNxD7RC1pr6GT6NMJr1TNifT2kM9X4annn8Hd9z8tYAksxh09uqG+0xKjxywSAcnRlY6ASBlVUhmsmjsX22++LcZ+Oc8sTizBa68+insfuFveq3ytaeSjl1bVIBU3JitrSPHP4M2Wk4C/0qg0EfA85Dlk8rmUshJ/fe4x3NG7v460vKXo2+P32Kx5S4wcNxNPDByEu3v3E6tWxifIhsi4qq6LQMKkxVwUgcjPkK0kyvXDgQQg4GPAgAE457yLjArGQ5CrEr307867ACtLKpTT+Sxu+/NN6HnPA+JPRx0/H0DYtmTvSgSlNIV1GvCr8NqAv2JLx8FmjgOnXnPscfCJWOqqomBVYMQ4g1gyRQVQQ8DTzcti6uSx6HLaiXAatECHTr9BeaCib3WAUCO40CPxaSdxtepoCbd344HgQH53O787XE8FpWxHng/R9awzkOZW5PQb5HDbzTfggQf/IrpvWV3Ok/AMQMhIRJT+q6W8xg5Mh8Je8rhqJeBWo/+AJ9Hl978XIBD9vP894M7E2edehdI0kBJBb6wTPMsbaXw15hO0dBxs27gVho2eK5Ch604W4M67rsE9vXuL+Zcjj4ALUwLODKIKMBoTrTHN69ejGZEaOlhNOBIQ/nNUxEOkCJ75DB5//u84ofu54FgzLUOo+UBuNs45u5vyJQ/ceMc96Nm3j0yLVZAw1No6YO8JQKzfYvwZY9vEAQIYMWIEunXrhlzWjWbU+GGAkSNH4t577xHWUw1lZzfdcdvtePH5F8TdHs7zU8qHPS3+ao4gbFui8ZPPspOrHOxjdnClCiMoxV+uOwfbOQ7qESSabYV9L7we00W5YaKkOoA6AaqkoGoNCgL+GK9IXJ4cl0vDzaZxStdzsddBR4lAqxZJQZ8ctai6gE78SVhzt89FfKAjfxTi+YLxd8yYMTj77LMjo60CLfDxJ0PR6757jaVXgzL4Ddddj8GvviJRizg1cdoDkYrSXMsX5kxPyvCB7ALM/ex1nHX+H1FCd8kk97tagClfvo+bez4qG5UISwwwKpTRnlMNlJeg8y57YfT4hSZOui8GiMrRVgAAIABJREFUwrm4scdleGrI51hl8J1L3nPwBYQkvrWke/15NwBhTg4kPwiYvGsviHaGORj12SCc0vX3YqHgGFa6Hv48fPWfgXjg/gdRFWpngrhx3Z9vxbMvPi9qyKi8bF2wd6kaVEVtYBvM+mPkrzamDQ4QKiBjEscIS9YluYoqVUFwRN+Mt+g9mgUT653ZOCRS20pVQ9+laze88OrbJhYagD3wqM277+uDkWPG61QlzmgxYRfMmIwzTvotKqpd6W2Jc5yGtXpWGhUgGNACRSGfjD+aacXvPg1/LuBVqR44Ox+XnHQAmhMgGjaG06ItDrr4RhVmDFwDILgK2uqLKZysMd4CwKzv5+C4007HwvK06V1bfimtFB4q1Ipp1Wxbt5jumTQYmv1sCqd06YpBQ96XOMSISd136OKuB/ri8y+/kYwHXoHfK+dMxenHH4UVldWq/7YMp5AmIebdOsu7CHBDixid+axeSb/mQReAsRaIvr3ye1x+0sF4+l/vYqWxM8i0z2A57r/1Wgz/cqYISBFpMgdX4xddO8ujohQH7tAeI8bOFn806gKlAOZh/rwJOOzki7GU2kshQDf9y5ppxsq7tf1r07csMPmVOhTni2kHZFC0zkTrOflONRLrHYU7uxCsGxKF0JkC0lNxSbff4oVXP0Y51ZxS/inAnY9/3HElxo+bJCOmKjO5YeG8GehyyjEoTWUKAGjSLpQVabUlwefk2lg5sEEBgoKRGuYse8asJyJ5fHhhqmAIZT1yebqZVl4r3MQhJiCEwbJamL1dbYD8K6oISlj6zbAZsI9UDuTmYfnCb7Fl+06YQe0CkxeddikCrwzt9zkK8ygpmH6aTYcNqRqoWoBD9tgRn0+YWtSjtAWsgBdrrPHGYZ8ls2y4FiBs6DW4Mw4TXqgOy2QkcWCbZqJucho4cJq2wA2PDBTx5JN+Ku1pGPWoSyZAeDojSwRGKIAo/PQ4XPHRo8fNWOXSLGl4YmYRkffcFFA059ynyc8JrjAJSUDWUzCU2izyMveTSvdKwF2EZXO+w/a7HIwZyzgrhmFY7iuB7HLsvO/hmLnCCCh+k7JMAZVzccBOLTFy8jQsNz3+IiFGVkeCz7BG3kklBWAV5nw7CY/931M49KjT8NSg/4gAr0YGvoyoqErxUPXdN9iv7bb4vjQlI4i05CUDt7oMB3XaHyuWu0KzaFdIN6cGc7sTZoNCtqwEB2/XDiMnzpPwlVJGnBW0RMpn5x07Ydy4RWLX4Iwtn8ZtMQyrgJaIJDLlJR+jVzrxooOtWlIfaQBnG2Ll9sA9tzjRQDyZtsHefo7tgc2CExBkHXwlEJRh+TejMeiJx3DSiafhuoeeks0dRa3GKOTno3raJOy5VSssXukZvpEMAuJCHL5HO5SUrBCAYAvhyBupeei8yxYYOuFbAVopK0u3Ae7VDNgme8lt4+PABgcIDrUpyL0ckJPunDZsGYRTYFP6cPZH4INzLFjhUi6nl5jGYnnKHltA/zSM0fzHw3HYkzWbo7HByAwTCjAOnWdj3LDXsOshp2JRoDNTVOAuxdjh7+DYc6/EKsbNBH0PQbZS9zKqnoXzjj8Ez77+sQgCEY6khT+5UejT1bRk+80IsshdxOw6AIQmY5LjLKs04JbCmz0Zv9mxlejCHRqbG7XGU++OkR6f8IzyjCIpTMOTcw30XbdRMD1+AdEUBr04EOVuFlViQVYepnI8UEaBVEY8Ue/TrAeR/Cs9+XxGjjHVMgqB6hLAX4AJn7yJHfc9AUtDjSfkbKzcPEwa9R6OO+cScL4Q08hyC1rGl6sAMnNwxVlH44lX38JiTr1l+RPvCD6kNxKE+ihsl+AK6BefdRQ25+jK2QwNW+2BmSvzwpO0CFaduUUj7LefDkfnjp2wzIUISh6MxD716NFj0aXLeTJbh6Uq1YEAmy7nHuo6w4x8Wrkcx+7WAUPHzyQkaG88pEKmBMiVodtp3fDSwHdlbyzGrGdLEED4FhtxSfmuXi8ouM3gWHkj4SjuFfi1oTDPRh1o+MJ2xEf+YRxV0kEoR9+bz8c2jiO8abHF9nhn/BypzzIN12AWDfffDfsMx+9/IEorCKdAWUADtIfJI4fjD126yLoH5qCC9Ztpr/oOl57QCf3f/ABL7UiMZWnqPwFLR10FN1Olk9tGyIENDhDs02qlUSGragNWaa3sVPe4OZ29IvxjZRNhpHp51f2oMGCz5GxtxpfNmFFJJiUNmfO3CR1s4KJS8Ofgu5FvY7dDz8SMam2mMrJwV6DvbTej/1vDeIQOskyLi9O4XJk94exMXHL2EXjqtf8W95AMTXYEIUI03vAjug1wrBeAMHnhPH13JZZMGY09WjVQkODspRY74J2JK6ShKpBRL64LofjOhq1QFiDH1XEkLfCQqVwl7iK6pOvpi5qLXGbz5iIx4WFAI3MOHoGZMk4CMBKWAXvonpnx4gGlUzF99Ado17krZnKGFIs4oB1lMXr9+TI8M+QjLPOBjMRhWgqNpBWzcP6xnTDw7aGSD04Z0LwwPWOgkSpBocq0efHO3kaZlNfimWPQcse9cOx5N4jBm8dqsFzZh5fLzWHi8GH4becjsCKtRn5PYKQCd952D155+d/il7r2T4Z+gKYNdRYY7T6vvfmOTnFNVaBzux0FILjNuow0fEJemQDEeaeehzcH/VfqHynLetQ3UeSaDEf1gxRpXkyVEhI5EpbePbMmHxiLTkvlKNEuVcm7LGOCBLnE8blZYMhOVtbUf3aQcrOA1Bzssu3O6LDHUUIFl3AwbkZP+vk6cuRQHHLgvmD1YNtxWaphBg/9+W68//wQ8cx2Rb/ws0B2Lq4/5xj8/aUhArTiTpoN3QQHsT0wkSgvksXkz0bIgQ0KEFpDuKgmpVMNKTMo17laixU8ZHXUyir1SZawau/Rt9tAsJmlzDx+pJD2y1XLbms5BZxfLaDBBn71nf1QwQnu/mJ89ckQ7HbQaVjMEQT1ypzzXr4I+++8I0ZOXaQAIYXGXjCnQlZLD+n3Zx2Op1/70PQ0TYNlejFBZYFCWhu/2Z+0CrYMEbUFZw2+xn8lOf4JQ/jVFJsUNuX49tN30Npx0EJmNjWBs3UnfLXKzEiiWoRbh1MTEOSpMJMFUPG44NImQLWFFSaU/NpvFpo5chDaTY9dRIMnZgbJmnRXPWTylchSnAiq8Oi6RZj42dto3/kszOJokSwIqgBvCfbZbRuMm74YK+3iNLuVRa4KcJfiolOPxMC3/otlZimXJFHETxWGVrCSPu1JlwHhNEyb+C6cxq1w3YMviaqFfY/ALPDK0mse+Hrkpzhk344o96zhuhx+bjE6dNgfX3w1D4sqMioEiYIuR5OhTBzQ7HLYsRSHtGuHTydOF1WY1Cd2WPKEiyp079Idrwx4V2bTkpu67IxCnvysbQQRBzytFgIQUb5TyOdT0l5kiGCLSPiak5l4jJv0if3MfOd7JrUMCGagfNZnaNW6Pe7u+1y0PoO8qHZ1F68MPIwfPwwHH7A3lpenpYOVRwp+rgx77LA3ZkxehNJKljJQyUWVYRYon4VLzzwaz735nnSgBCCkniqfiwBCKt4aV/nE4wbgwAYGCFYa1mhKEW0srMCybJ/OxnTANkw/eRFOqvLlNwIJO/as+7orqY+Aaol8WrGHcRBo3DLAXYZePW/E1X0fVtVRvgyr5k9Fm532x4JKHSCwCzx9wnB0O7sL3h0+FjPLMiJIReCw18z9j9wV2GeXbTFswhTRyYqAiBptAQciJ/vAfEY6As1coce7eslHwbRdre6BLvREYAuppKNhNwNULcWn/3pKQEIM1423wnadT416c3l2n2WapYom5a2JnvRRz5fLCV+5tYKMFjhCYW9fDMopOZ2ODZ89x5AAbLdVoOCT5ea6mI5CUoRajl3cJZg/azy23vEQLKzQ6aKEfqrzzjv7JHww7AvMXEIg5xVqWXPmVfliHLDbjvh09NdSbuzZ0g8N2boRkAEDQSfyle9m9CgjlG9w/52/g9NiG7w9caUGZiQ8TY9AaYBwyZTx2HP71pi+PND64S3D16PeQpfz/oj/jJmKpRWVajcgyNpzMhiNLCXOiZ3q8N07YOhX34iqjEUjC+iwElXphdh/90MwcdRssUGQQgrKdIYKM9b9NQUI070X/5UIvUrs2+FQjPlsquIhsYsjZ+GFticZeZAtwjTA5RGD5GswBa8/eyec5i3xtyHDQPOTooly0EUIL6jEisljsP+O22Hq8gx0wvdSTB75Fk4//wq8+ukUzF+VRVr2L2O8HPHNx347tsK46bMilWHxyMfMXrIV3FS95LZxcmADAwSV0eyx8lcGL1iFSjOUlcoqG6Hpghuu0GQd5iBCKzvRgyt/QwEImV4ujVKH2FmXQoot0cWKed+h62/3R+OGDv773XTRtXqZMiBTgVNO64ZnX3oP7Emyzj7xj3447LB9MPabb3WYLZFwO4Vy5LNlKF0yD6eeeAKWl2clXQkUq+z20d7luzTonwkgDOhkfRryyRMadpei33V/UN17vYZwmm6NHQ46HnMrVN3Alc1ZXzTBEcZwUzzZW4iASjlkDb+i88sgzJUBHgUsde9ZUcDIxgzMqEeoUAChfCJ46KZt3B9KRaAqbipwxqnd8fJLH6ofAC+88E8csH9HTJ01N3KThWsEo6AaS2ZNw2nHniBlyf2hpDOge54YQaiKr6gcrMCVesLR47c455TdsPvxXfAdl4/QuwQhlaGAQRnz4JbisnNPxZODPhDBhrASg/o/jN0O6Izxc5chTYN8PoOAahQKT+7FwXAA5s6chnZNm+hMsiZN8Oyb7yIjdhSOAlZg5uxxOOuU8+FWRBo+ZHNUD1lifgwgTIeCZSFpMlyZ1Ml9djoMk0Yt0jyZaEgTj5gVR/rnj3YSMzDnGhqkJ+H3XfaC06otptBUwiTcQFRvnK3ENRpSptXLcf6Jx+Cf738mnQyEyzDo6T7Y/cDjMHp2JrJxhQTOXAUq50/DmScciYWlZdKBYnnVChAk0vBPmJj82Sg5sGEBgr1fToHMlWPOzGHo/8JjOPK0P+Dhf7wNvzwHZMvx/BO9sG3bpmjQcgcMmzBXVAO6UQ5XeLIHVor/fDwInY85WFYIN3YcHLj/IZhbmUVJGOKkow7U2T1UuTTYDE7jLXHrA49oz9vz8fXor3BApyNQYXqTvlTrShFIosWSBsZeGcVhClfcdDMGvPKGaXSmkttGWONV6782bhk9iF7YvNfRPmxUdd1r1qKcpzO8oh1Cudkcdffpebj49MNEaNVzmsJp2Bon/eFaEeO2Fy5xkRzpmFKYqe7alzUhisOUHG6G07nKgexSfP3ZEFzxh274ze/+H2ZSQ0RZlaHkW4TRw9/ELX3+qT3NsBrjP30PTsOtcduD/VHFckY1vh49DEcccCBWVuYEgHVVdAjmgzI9w9W7Ijg5WluFP990K14b9DbSqUBkHP1ID1yYS+JNj5nvkhcjuI3HiplDsUMrB9c+8JAIOM7CGvjk49i+qYPWzRwMmzZfOgy0L3019F10PPQorJSZxLovRhYhqLTU7UV0ZCSjBps0EYcjCo6kQt3Ujn13UqVXKW656RK88sq7Yo/hII90EszV9kYG1g0QunOtJqZ84TN5WQI/uwr77XgkpoxeIaYlYpYZHJndiUPdJ0o6EdxckOXL5FJIzxiKPVo5OP3cS/HBp9Nw+lFHoanjYLdjT8Wkap3fJVu5+KWYMOojtDvySMyQxZfsgGWlcnC3EVLCNMUtTOGuG6/Gm4NfFiCPaIlXZpkgwVB1NAD9kvzdSDiwYQGCAtPL4N7r/4jmnHnDbSCa7IL/jlkubea+my7FksnvYuncL1B/y91xU+8XdfsD2ii8FMqWzMCJpxyCvQ7cGZOmTpRmuXzWLLTZfEsc0+1iEelcTPbaPx+C07gFbn7wSRFe0quhEpy9Kg94rv8LOPncP0pvyEMaPiqkActGnfQm018rcdMtl+H2vg+JakWEEcMT5GwDMHXevvKuUotCy/wkIBu5BpOH2J942NqeY14lWekoi6MBW9LDzQQ5/TW7BBefdiyaCTg2g9N4K/To96SoVSiW5ChTkiKzYCkCyRkVsCLvhEzmj0iwHBecdgi2chyNr9UumFptBCFHLelZuPCMo3B934Gig0dQiZK5k3DoMWfipPNvUCFCZocpvND/cXQ9T1crU5AyD7y4LoLjmhxVQ2EF7rnrZtx3b19lIWlRtkm+6V+mMGtQI/johwVmIvWBN595BFs2dfDpxCmiE7/izz0xdepEVM0Zie23cPCb7hdrz5i2haASA54biFO7dpNeL/nP2Uw57sZKujg91UQdcp6u0MQ6QMHryop0fhc/hnc9br0MD/S5XeLLUS7yo5HTnGEUCX1b2JIfa6TmrDAbo4dQZgHwnShDgCjFvu2OwKQRiznjWKJmEvyJ3UHiJEikjXqWIyqqXyvx5hP3YQvHwRFHd8Vb74+V0dqgAf+QjsRh518pbUHsJLQT5VP420sDcOyF3aXus/kJhgc6ohN7Sz6D+267Hn163iV7b5HKajM9WkYQDCNVjWWcAIRyY+P/u+EBwqwIRsVMdNqlLXY+4BRMqwBuv/8RuOVLAXcWpnz8CpwGW+OmRwbLFEdKiJVzpqP15s1wQrfzscRUVDbUiilfYucWjXDqeZcbQb4YZx+/J5zNNsdHU+ZL+Eh+EAG4TbMLjP7iK9zTry8y4IKsKgEIdrzohdeAAY+hZ6+bbftWIUQhIGcAhNpjY/s3WgDbs48Awnfx0nPPonGjBnAcBw0bNoRMRzWroOWdz/Xp3kB+9/S6T4ShlR2mjZlapdKSjZUkskcacmYM1XUUApyvyIyllmDvdi10pXX9ZnCabIf+Qz6RJirxMRozgpCjRJlDfqC7JqEGcI+gvRQon4aO7VvDabkb3pi0WAV/UIGZHw2SkdptDw0QY3KGW2Ejg+GjvsId9/2f8I3RUhXmBiG+mvg17rz7LqHd7q0kCYYphGElnhn4BO7vfV+x2YZSh7un+lnZ/pvxCfs1C7ohoCAfC4IG7nKcf3pXHHrAYViR8tD7yf4o9UIEYRrTRw4WAXnCBRcLoLkyO0IX7Y0YNhz3PfS41jXhFDdE5Hw7FcIR34RHRm9D3uc9Y0njbijVGPLiAPTqew9SDEm/rBs0j5g6onDD/Z/UQfYmZHR5VReqjaoAEIosMmQDJ+P62RLst8sR+PKzOVJmnPZAGvmjytTWC4bT8xmYv+VAdjEuOvV4NHYa4vnXh6JE6ng58uml2G2rfdCs4a6YviolnSnpHMm25hkMG/ox7nvwaWlXkgb3WzI8efGZf6DPXTcLHQQnO3uKZSv8kj+09VnVmik0U5uT28bJgQ0LEBQb7KHkVqBi6gi0beLgjr5PSi/0+xKO83mo8iz8/ZaLBSAefWOMCJowU4ELu56Fpk1aYFaZVmQRMl4WD9x6JVo2dDB89HTxW/L952i3pYO9jzkOszLa96JpI2rsbH9GELphVqZmyvRM42gFPvtlvsyGYuPTWq9TctnD1sMA0mnOEY/UvWZDNx4Mw2bEhq3SSw/BUX/aekLYrSMYnru3Zl1dhMX3+K9QjZRotm2qFkR00Tif5y6vVL8ZQvxlWDR9OHZo3QwNGjaD02Bb/H3QUBHsMpOIkcsgiCtHYswQ4aeJ5ylsqWLyFgLePNzf4wo4jbbDo+98qWslwnI8cs0F6LTtljjm7MulR86Y3Fwlbr/vQYwcP9Vsla5k8VsqQ5tFKGv4RD6JsGep0GycQjbgSK7AI4/zUkkT64RZ6Mepl2SO2lSUXyIV0wTKpVg+ZxxaNd8Kd939GAa+8g4WlpUb3XoK99/wB9nD6p+vvRMZU0V6c6Za6KOCdmdhNqngegP293V2F1kmtAg9pMFHPqsbKQosCu90tlN1oAsOPS7SZEbJa4mAvXzml5mQAjCSVCP3OfFAtsDgyEH95bh6novzZBfflchll2O39gdh0pcLFXy4K24eSFE7a8YZFMcEGgEInzTOA7Jz0GH7XXHUEV2xLKUc9ziJOCzBwdsegK0adMDs8lDKUcqGU2e9lOgTq9LKF9ZothbySPxQd8bZXXSnxk1yRpjQuRmcCc2LIyaWLeu31n11T/5unBzYwADBLjpBohLvDuyDlvUdXHJNDzw9+BPRlUsFqpqL/bZtBqd5e8ySeZmleOPZh1HPaYTX3vxItlPOU5mUr8Btd94EZ7MtcH3vR5ExjXHQk72xRRMH1/TsFwkCVlpuay36czZmTlCSbZl5iI2uvmYDpVrBzedlHYaoo8IQlemUCC4ZXfh55LnCjy6m0Uvcpr1T0Huy8siPjIZiCBbpYoLwFDtRYXHqZSDgIHGwgbO3axog3UwSpiaRcG2IYrgnKOTTyAY6N166dnIOA3v+izD42cfRwGmEu/76gvAhbXt2IswYtwKECBNGbNyZqBo8yfzlQGaGbBLoNGqLx14fI/S9+fw/MG3YK+i481Y4tvuNWCJhPSyZ8y0uuP42SU+EYiaHnEv6qELRBd4CAkyP9JCXQQa5TLlMA2Wvnvl3c4bYvK8L1GT9hZmwQPoC1f0zLi2LUiCYg1ef7gWnQVNccn1vvPLOGFRRqrFfnFuOjju0R5vN2mJRRU7oW2WmvYoVO1CbA4U901e+q2rEloc4GnBSZlEkU3ibc0Nkxh3LhMskVGVEf2KG4oAhb88CNwDAkaBmADJhgLsAyHbzdPTR/5kn0LiJ7rnVoIED/ho24vsWcJw2aOA0QUOnPpo2aIaGTVrg+LN/J2oilppEy0wEtNlNwbQvXpOdfwe8NAqcVMA8Zb05SFfMwgE7HYjWDTtgfola3aQTwfLkZBL+mB8zYmdLoC0+w3KT+ueiOqVT0wkNbEO82H+iypIXzy8h2ApPlbH6Ifm7UXJgwwIEpSz15X45zjnxYLRs4uAPf7pSziMQsZt1MWXYezKn/7jfXaXTD/2l+H+nHoTNWu6Asd8txfTpU/H3R+/Flls46Hjg3vjg21lqdGTlc6vQ/fST0KhBQ3w+eW7RNEnWdWkZIgHYgH1UyrkIWk4UzXQTYcZWTyzLao9IgjB++fGYxYz0Ypkd61wYedCRgo+9exUigWkt9KvKYj13gq90I7BYQWTvNt5CLWKr1R421e7as6a+XMOKVJAJAIuA7HzsuuN2OOe8i2WlMKcrmg5dBAQWIGiJYJoRQEjcPlyvHAiWA/5sTBr+JpxG2+KaBwZwRiz+9fQjIpC7nnIIdjr0DFHZBJkMLjn/bMwsScuWH9LbF5I9+J4e18p0KDfE6MsMij3HHtKki7z4XfxlyD+xHktexaswRW071b4esKo6/VLAnYJLunLiQjMcfdaVsjstvXNrj6+HvY2GzhY444yrpQfMXjB/ohlnIYpBXZaEReWpYlZn0gl/TIHIdubCLB85UetpIbLXH+RzMhVb1hUyDRohJJ/G/kOrD3vmVF/RpiEE8httE2YLFPFD6go2iCBgCa5EOrMYu+9xECaMm1cYEnMX3own4zD25xmSAl3TLQf8b3B/j25ousXumFsKOSBKVJFYgFXLJmLzxtvgrDNvQHXM4C0VjXxhj4o9K9lRV0dTCl8k3FNbhykvthTmQS3zJn35xnLlFF+eMGgyLAkkfzZGDmxYgGCTzJdixZyJ2HbLrdGs8ZaoqHCRdXnegvZKet18LRo6Dga+9ZkMmyumjsYezbm9dSs4m++FA39zJh589Al8M/0b1RObHiV30lwxawzatNkJex94qsxMoaKk1K6gZd10s/Cp6pBunQqiav//t3cmUHZWVb6/qcrEKAJKY0sjEMYFztA4LJBmRkSRJwoqT0BBRqFbn9MDxCAgsvSxXtuNwgvYgKDIo20bERsIGSABIyCTEJOAEELIXFSlhnvr1n7r999nf/eryq1UJeRRlZXzrXXv933nO8M++5yz9zl777NPEiNIgY1YgF1dDFj/zgO7jvFCqtWAiElaQTALTLpv6a85irKLORxkjrp2GSfXQX1DDq2MEbVoOcNs2ZkQA0969FQu5fcfTlBb50iajerMZo/BKkjHiCJu6nnFTjr6g7bvAQfbK3UXJ8SE3PcSRMa+gsD1RmPG6UwRRQDipx7pIebb0w/92iot29pXvvNT+z833WnLXppr1vmUnXT0u2z3A4+w51ab/csNt9nFl0wWcde+xMBfErMxGGCiIv7gGNDBXTWOAHUnIGl9JhxiZuyiPkxOk6im2mV9tU4xPAi8MFBdbu1/uct2nFixsVu93Z5Z4pvfJKKpLbQrLzjDKpUd7fqbZ2syQuvAupFiuaiPnLoTDlOmCfkwUBE+KpDC3OFhemcHXjrXXJ/5S7Sfcy6UrLfu+zgUgTDvP1KJiWimFVYvR8A6CS4zCG/FJVbrXWa77LyfzZoxLyHSFVJkS31gDuAPkARrbZnZyjn27klb2qEf/5It7TNbQSR0VrV5WsVXKtvajXc+LgaDN19EVri5iSy0NMeUmSNk1Vc47Clayfsj45cQfECJ2dK34buITvsQTHkfFzLy36jGwAgzCJRmL9mj0/6vVSpvtq9e/K+GuNNl6CutvuoV22nHt9n+HzjM/truM6G59/zcdqhU7KOfOcf+2ieBgbUlC45CvMJMs+dZe3LGL63Sur2dd/H1UjjGoMGXj852RgwgmTa7Yn0QxKDyAcXgYQ1et86eZHvB6HPXrk7RfKrulhu+B82JVxqTPvPstmrXKrvpxp9Yiw7lqVhrywQd5oO7hrGtY6y1NSmvx01ISuqx9u1LvquBGYNT9KToTolBQLCQPfvYFLOrawNWu5wOXnL+Gbbd5lvYs0s6JVNm4DJau9n5qroEoM4gYqgX36B3PWHfxCbE5+2lp6ba5tvubB86+nT7999O9/Oxe+fady/8lO31gUPtt08ssQOPOdGWdzhhgDiQr069EzP2s6+BhJULx1MSh5/0OoT3+fqNzXoy8bLYAAAgAElEQVSQSPYgOGF0BguDcMLHLu425c8XXV1t9udpv7Q3j6nYtyb/sy2qubhEepTlT9jf77ydjd1sT3uWBVFqTjaYBylGHe2tnRpUkRxdvsJqBMAsOBlP+AKf9KfeLm327O5JIsZk6aDP4F57f1R5Y/9AZxe6hfSuVRZ7f1yfFYgJPQRQsoO6p+evat93TvqwPfrgi77ZXQhko6kTaA2lhNdeibza7LlZd8qc9ds/uE6iNWqijXNtc23P7cfpsCg0FaxrSM/EQJODYPAEkgj8S0fiDFNne0QdpKSOCVXV+uTuxpuG/ej4XyNqXkE4Tkbz/8gyCHZ09sy3S879rFW22t3+tML7nmF337nQ/jz1N1apbGnnXvQje2pxu8wge5681/bZomK773+sza35LInOZvUeQ3Rzx9QZduIX/ru8Sl507uesMvbN9rs/vaJds08/Md90xDH9u45lSbfOgXCCj2qarluXLX6oFmLGBJHWYNIMuKrODZ9gFfHA1N/bBw/8gK1Y/loxs+3s6lW2vrGKUdXtVkZKX3d5swMuGXqci9DZ1VitUGb80tgr9SUf+dS51pv87RAJQoCJa98iu/Vn11hlzJY25Y4HClEKBE11Z4AHVxEcTgiAVEyEMAqHqybnerhLtN55tmTBQ7btW3e1Pd5zpC1rZxPhMrP6XPvW2cdbZcLbbLt9jrZ5bck1BVS816ydYyzISmWJCqbZcbf1YlcPLtNkmvIa+CZu1Xp6EUt1W7220qbee7e9//0fsRUryLHTZs9+wFo3e4s9/zKrQRJ326Xnf9W2GrOVLVjcIXNn9jOwZ+bZB66XtdXXJ19nTy4xW8rBD6muKMLJkSp3C2NYhKWdfkzyk0tr+ohWnQWBTIyN6XZRCc9WeZM/q5Nql3XRT5WeeRAVrtrsh2faZhO3thXL21UGCCcJRJfLjRrofYEgpjG4IF5h++zw9/bU9MXqT8j2wZv8XJGuMyEd/Uof+Gu3iy78km3eUrG7HnpcOgp5Hagut4v+8Xx70+bb2MuvuksNTsCjdEx8u7DtC99mSJrkFdl1Zi4udbGkmlZ/Jt2ENA1YQPVWbfb0mfbOd77bVvV0WFsSMcqlTqlH58fRh4GRZxBtc+2db9/aDv3UOTKPFBFGxtq9yCafd5qNnfBWu/6Oafbl/3Gpk+iOeXbVBadapWU7O/6syba0A2LbY8sWvmjnn3++ferMc2wpgvGeFbbnjtvYHvt/2F7uNrvwwot0EBsjKOmE3TokdWhk1+Hoj0GmEerjl91b/iqxBvNUyEhSKjJjTG6fgV2ELdEcZaMpMVpwZpkhXw8C6eVwWJHH9QPhAQnX3OQVP8ISqIobM8sgJlKTyMNpu1n1VXvsobtkRvtPk/+3LUlKRepYlbdbF2kINGUKPMzqGqacKozgpGCEaEIsYDyIBMdP3N5+9ot7E9PEdcOLdtv1VxsiiutunykjA7nMll2nM1cIjvZeSKRGnbH5ZK6aZPtUljJ7kogFfMPI+5xpei5I1ru1YpI9vurjIqbVpIeIdq22STvsZSced7qInMOOKfJyu+IfP21vHV+x639xj33hq1c7M5RckKQNBsF0Qe2M5phH2rQJg0C8UqAQ2BEvcdJcarAyE5YoMLWpvNEKv94vyARrNKrgyl1Who6QIMJ+fgbh9MHl1t2x1Pbb6UCbc98CdY4eOXL3PJSU5Al2TnxY1YnV09/YAe99n62s9smOYfELT9tJxx5m++79bnv8ieeL/gavgxHCXtkLEnWMPqP6qSdipec+n8QfqZO3rNdD7k5cuU2Lqw+gg2Cmlq9Rj4GRZRBWtYfvu1Ob5G659beGbFyrcQZ9vc2+ecE5NnH89nbZFT/1DXL0Ttw99Cyxiy++3CqVra21dStrGTPePv/ZU+zJJ/6sPCDUnJB23NFH6Fzpk089U95dpRsW0WlYjDRaiJ7thEmDIQ1wUUAGGukU2QmAZvz1Xptz3+9syzEVO/L4T2pZzgDA+sjzKllreFDKJL1EGZ6xctcMX3D40r0cpRQtgc1Mlhlz0oHgR6m+xF5e8Khttt1OdsgnnEA20oEZfkkelT74Ksdt5YvyfCSrnG7NeqE07NJut4XPPW2nnHae5thCjVZjHTblun+xi75zhUogtrJPGUa+CfDECWAQMFh3rg0hVxqhB6sAx7UCybBu9oeZ/2FjWyp27H87016rmt065Qb1n2mzHhTxYY/DgzOnWmvLRPv2t78nnRB5Cs7euv3P875s205otUuv/GEBv/JPABLPmzvaqD+uGvWIBo14UTPevR6qS+pv9Gu5+UjvYoRVs9uu/Ym9qbXVZs1+RAQ7sc3UTlQ6tVc5U5TfttJ6+9ps7932s4ceeFQFBmyyaivFZwLFDgkmCI89+rCd8MnjfA/OmIptPn6Cff+yq2zVCtfryDNsgp8e6II+r5M3jqqX/sorqcTcEv68j7ECW2KPT7/HKq3b2cGfPF21oU5x3Gw5t/w8+jAwwgyCzt9pNayHGAsQJY0qZmDMMHxKVfiC0ze3k69xMG4azVqJx+iggybriFD8Yj7K1dHBOQWN0Qtt9at4iIBB71JOy2yIfFiHr7avnflFu/H2O2xx8kNEES4zTso4YKOqDkZSciaizrdS8c4gfDbvzw1io+r3gywN0HrNejs444KZ/FI74oiDbPf3H60DjTxN2ebcCQ7h/KRglR6GBqi64h140g+QJVLRqqnTrAuPsL6GooWYNZYr0IPzpXQFmuK9/z0KoA6NE82UmjxheuLoyPGTUBsOUm+zC79yuv3klt+IwFc7uu2Mz3/GFi192VYbcvtu6TSAW3waRWq1262EKFKMz0VyBUPqD9g6vpWQ1ehaBc9B/OdmyE0+AmRPr33m2ONsxWvtqg8wuTiM/uHuO5zYpvQUpxbBsSEeXX3m0oOyJjVqtAF9Vd+xiOqN/RQ1Kd+72e9BI5MmmgLkpzzW3naBotT/kpEHyRvzCtqv3azjr2a1NvvSN75v//yrmWqTKjoX4ha6vMgv30cbBkaYQTD7RZ6alJnsN6vFvoCqdXW58jLRCSmCG15FWW6kPs49ZmYJw6+95p2QVwZJVe4qGwMgJt4eXaNurW1DHj7YiJYKloP9Hnv3pEmGt09KpDbOB7DGSYpGEbziQ2IQqcw0IBuFe96NlYSP2eJ7EZ94NVe2o5SXe4p2u/CCc23r7XawBYvaDCsUybtZkRTpnBHEa8EwMafsQXyDiKrDpj/0J1uGO6SkD6j2rG6ci5Fs3f2E63Q+RGI24CjO6l47kUnECaoiHUfdOMQHAqML6526EzOJWqiuJtQ1e8++e9v8V1+VruD5+S/YFz73eeGctMlIV+++gZBsksyPStM49bpEHDwS9P/jCvySt1abKaCGaEX+m1gNV+2lZ+fZWaefqflDGEhE/3E9h2/C1GSmyJS5PWIf9l0wXtIiEmOAEoPugpnrcnGVi6hAOBMQ9Gg+cZAUDeRF/jIA4GWoKxiE9+WmDKK6yKxrme24z4ft8VdjbNCQvqt+qBLy95HFwMgzCGateLbE8RdCZHVSjWJhRqsDp5lpNLMId6uREBmRRrNMaEhiBEGoNDidJii/8lK/QR28g6+tKZw5BCDpXqvZrLt/byd97HjNr1cm2xdOvPP4JQIUSTUO+72UIgGBfxu4eihg07glDsORAY5SGtFPm/3s2mus0rq5PfLkPMmziYoFCjHFIEim/F30payQq2NaqwjgdZkOuDnkYyfZonTATKFYhuKzZND5GYiFIMfOCMk5GIM/U+raroEMomGWKRjFIMQRJOYQsazWbM69D9knjjyGLVq22jrsp1NusJtv/pXs+YPgi/76xFpbK2hndB9+zohvrGNVqfqvDcTX8Y28I39tvkQMp/aCaLP20vrL/u3GW+yGKT8X31KLJriVmAxkCeHt522owNT+alAvKApLbR2rZqrAs5vLet/yvuPtU2Y8zijSwUTDqruLAaV3SRBRS88ZBs9kY7H94b7/tCM+faaspnzFWZUQ1RnhsArKkUYIA6OAQdCdGuIWzfZgAbJ39VFGJ9YSWkiqGbNZFIEMIjEGBkcaIAyiYApBbP3uA6XAM0TDJzJFULOH8kAjn/JSnYFxxdcvtVuvv7mwO1+NryBqlMRcxbilEhqNBajNimseFvXTnUEO4DBKnPKxi7zd5tz/XzZhzDi74bZfa+UgfPS6zTmDVoORpCmvyFIFJgKqPLtetIen/acd9dlzZRYLOYNwaObbV7M6fhxkEsps3/UkjpfegkGAs2DUzStEaGIQAJaspGIG7SQGxWa3FLVaFWiVVLVLzvum/ebW263PllmXLbWPn3SyPTRnrnRUTJhFRKNy3OMSlwNesx41vBs3xOcNdi+XSdUkX4JY0l4wBUQ7iAOXWbW6yj72yRNt1uPPicGVk8KwpdAnkJ9oe3kV6xAjToVvEzdEq3xZjVdfkvVbxvlKAmbBT2Ms6f1S1/RM03+xv6NfaPkl9em074OR3J9B4J5jmX3jnNPtutt/b4vTapS9Ra91xNkf5fzy82jDwAgzCAg8JKhunfjPkYmEo0gdHxFJabdlMYPSSGKzmVN44vivPCfx2RKzN9mdlwaL4vo0Z5jt4Xk1Zl5uDdSxaqW9d9J77InZT9qKjtd0HCN+P3vqPjsVT1AJFObKWOpaJgRDAhAEoriTV2IOcjGy3F6Z/6TtsPV29p2Lv18oOl08gXWJWyaBmX7EUxTHVw7gQ4SMXb29S2yXt21jH/zEmbIqCyGFCJxMFp1Y4V4B3QSmm6pTPxGc18otlgarYf8VBISFnJzpNPDFSgo3KDqPotZpB+zyXnts6sNWrS+wp1+abvsffrgtBmzwk+gV3UJWQgnRrJDcxYl72VIvoXEgninOYFCuc3i0U0roO62ZzOA8EREeB/1wNt4ye3Hhn+3Awz9qy9HpUGXA4awLrKpizhP56e5uYLTai/ASgDDl8iouPhEfpu0/xkz0Z0cB7R+X+kI/phJfmtwFgyOdR/BKNXwUwhQ7zdpesgP329Pun/OcPBnwnb7ZBPwmBeSgkcbAiDMIR0Ddd62mxWlnp5vVRScKubLiEihiF92xv9yVGRNMgZm+ZNcQGNm1NgYF6Yc7Bpz4pfw0c3fi1dnVZq8sWmg7bbur/fttd0vUgsU4Ah0g04DROOcvZvwQdgV6JYr/gG3At0AAdz6J45BXzERXmr023/bb5S22774HWlsSCSl6N2Int7kH4sgqYPMMqyK+PL/60kt244+vsb/d3M9bPv/yf/MjPiXXhnyzWnnNeru4OxHQiXHCpcMdqy2f/YoUFDVs+gBQREsb6cBe4SpE9QVuiAllLrPnn/mTTdp6N5t11wzrq863mY/+yo44+STtc9BGN/TnQf8gsn01zazFGOX/B0NdWGbCZ3faLNgUuPUMDERz50orF8lQcaYoaP2s6t/f+2s76vOn2auoI6gvP+CuolB21BQNp3wRzSTRGO+OdhkalFcK4D+YgkAolNUOEv+sDsppCGu0mwPjYqlGmjWeBFMA3oRB9HXaivlP2k7bv8nuuHuGLcViWMj3viEXK2tkmgNGEwZGnEE0CDVycQiRUzOJXiWP9RlkMRrUKRlHEFsIgHe2xszJO2wwByniNJI8HCLGQFAxftPzYH8N2a0r9twnP7B2+QqG4jFhrEGMmbFX5XMngRmUKBH1EoPoV3YMMu7pigzizqeBDKJvuX3uox+QV1I2xMn9SOt4mTBycBI/uRRvabFKhd9Yq1TGWWXMWLn/Zhc331taKzYhnWPNMaUtrRPtml88KAYBSQOEmjyB4ukUEZPv14DZsGs3riA4cQ8rsvi+xp2ME8cCjXg/CgYbTcYKoqfXZ94yaACFkp4ssQu+dor96+2/dLfU9BUm6ogdYRLMUlGsp6uOnsa6tfbCwZxkOhTK84a8yG/AT6sImfOi42G5w47QpfbVr59vP/7Vf0g2LyyCS8nzfIIk8IquQQz6IL+08mERpM0gLkoKvJf7eDBtqki/J070/whD1BRhMbny8Vbqj4PiKMGSqg2UqgtsGLEgnoDrVePEx+hLEg9rZegxB806fxhxDIw4g2iMJYhuIqCNwERgY1pYHntOsAvGUaCyGFEp7cD3IuIwHyI9w5UfsPBLsBYjgnhuWRJBVMPhIy6z/pSG4FBGFnGiHAWUK+pEAO1eYhB9Vbc2+uYFp+pYUU4Cq7SM04l5LRMn2tixLWIOYhAtY6zS0mpjKuPlAVeHMrVUrKUyxloqrTqkaUxLRQ4Rt8TtB2dSTNzGfjtnoZweMqh9GAN/ciWeZM6Eex0TzOt6Uzs7gSEvx3BaL/It0R65dKixiui0X1x3rf348sn26Iz77OCPfEj+hJbRIgl9MAjBpA2M4Dsunp1BaBoSBb6uCpD3gHYjSPVq3CU51bncNbtlyrX2v75/qf1x5n/ZQR/5kBwbvlrAz9IMUSRjobRuVn7e92S5FIiJcgoYgGV9rqhD+T7MfAoYvNqNPgGDwO0IuiQXc9ICRA+cidENs5gcbWQwMIoYBMQ1EdDodOpNQZS5+wzRP7/RDILB4ySswSSYjUV/h5rBOPrvgPbBEAylVL9isFCrQQam3GGkiHJxgEdT8uq0Gff9Wi4TIOpiEK0tVhk/wSrpwKEtWsbZuMoYXzlwLjUrB1YRnNrXgptoVhTjbMw4X3FsUanoAB0OM2rdenu779EFtqzuegFqzcxVDI5ZYZIhN4jB+nZecOY4BY3kh1WUmj2hRJIi4YczF9rs4al36RjV0048WQnwa4rvINKSUGkFDriGqZERF+84U/FWVPDrrkC0G3WIclJxAAI8UQa0v7PbZt0/Vcz71E9zah2qdpNsXvBLJwJ+GQvejzy3wBOMgx/EN/ULRQg4BsCQQFn7rZy2/Lz2VMXXBsILkJzwJ5i1cnJmB+49upeTGUSBxVH7MIoYxGArCAafE16wGDNEOpcTrcEGRbmzDxZnuO0SeTkxCwYBDISISTDC5XnTBwOvGvQqolwHBo6XWxpbgwMCk1AhEJu69j30MZtmNs8BMuGnn4NYejqSopc9c76RkDJI7mVSj7SSgXgh5xbcMgfT7BXlM8pifpzfzKBGh+l1AXbaojHDHbwOgbO4D1ZFvjdEJ+SnPAWXWxxBFKNciWi62wUYOnPgbKxywgCAPGEI/Kg9796HeFNdAqzBKzAYwKXwyCTK4L10gd/CdW4CAxTig6nmVkrATms6fskHOB3ugtAKfr6VfgWiSuWt12PUIe7DzWRAXYtkkU+6S+7nbUodG+iOeEXC/DAKMTDKGASDI13FAIhBkzpkmiW+sQwigIpO7QMVGERA+RxjNxFTXn3Qx6iIARPv5cES+a95l7lo4EJ38klERC5JkjVOvUsH+0Ba8JoqmqKDakpwCEhiQOATY6NIXrrIx6tBjNdq7h9JDDkppYnmM/6Y4QZBXhNuByDwxX2wi2+BT+4JnpSUMtE3udkz37F2w1uvI5gQfwQW/zUYgjMFfyemw+v1SOUMBtaww8t1bFJPzEhhBjjO4zOdgjvgJEU0+HbiGR8CbofZE/Ct2W/YgA4ScWCeg0RbI5h0za4B+YHs9BPeiyQRrwjID6MQA6OGQQSRiM5U3IvRlDpkqbP5DOv1YnVdOmrE9TviEDaLMYxFs6FUiZgS1p9BJDg1Sjx9MWCKB+LEtwYxQ2HfLc+fMdjImRIQNSTFJgfq6BS8XrlqkPKf2ao2nMNV0yxcS373NKtvWDvBGJBsJIKF0zffAIepYqNOXh/K3dAMgkLSNQAXoTylP7ATmPOqtQqCn7F80IQhVm11t/LRmc5Ol4oKkD15xy89RrEb7j6g/UAql1YT6YCFhNN66ZCgRouC+cab4C/jpHhO7a8G2nDQD51TAn7QcvkObNxLVwnvHhr5lOLkx1GHgVHEIFKHiY4U96BQxbvj0F8HdML1Qu/6dFRPg8FkV3ISrmksU8GCQcA4kjgpYI97qhOvZYLl4HveMRvuTQrhqBr7FXzzVexgTmcOIKzHJ1MNQ05f2bRDQFVWAqwEj8rmHf9N1W4Z9bCRnV3gIeIQbNCqok7kx+B3ObjnEZANvAde4z7wu78XKIkHZUoaRGGd6eAoN1+FWbieCm6WqpbOBw+SCnGVJU7BoEvlk0Z48pUGaVRcc9DWM9TLQ/zJTwc3oU/A1BpOH3AHWBgfJPzSSvxIqUDpZ5r3Ic+flQYZvZFXAN6sXMIajItaxK/xELBG3HjP99GIgVHEIBJ6okcVdwZIaZAMiPb6kRodft1zgkGsNlxNJ5EHBDnpD91gM70AfqINGs8i+k4GghZE6c4YGjJ5J2UNN+Ca5SfTXohDuIBWPhA/nLDVe+UXCtm2JPT1Vb6cEbHHRt5XELLNry21hX95yrb+m/fY1D8uTiO6W36wZJ5JnpyAlkQ5vlRKIqoAuuk98Br3JpESTmjqAg9EF5LSjmP5DKJ0353OUxfKB1y0cNAQpqHsLUvwOYNwZ3yeKpUf/QmFTh3xme+5UNnKfcP8NdoPHPmvpqNma8k0u241TpajYM5h7QF+xy/dJ2mIGgyi3PcDlcKb573uDCIyifsg9Q58rfE50vkqoX80vvVnELSBcKyIfE/vamPi5ms0Y2DjYBB0pv49ceDr68BxdPh1z8JXEH52scZFEjEBKt/46SozCI2WIPvlKZZHbRCYRhw2FJGMs6rj8v0fjQGpXcvaXdVpsx+43ypb7mDzV/gsXDt4S9V0+MipanOm3a6zwCuVv7VpDy93elO4z3XmgN6BVYl7dXXCQGpVJQBa4x4Fxn2NCAogD+UTD0QX8YC9+XGtIWYiCgTHiQ5MAsd3Pv3mG5ApG9xUFIr1lF/kD8PrcwZBfQjekFej/RoMwtdzQNfAnQqmrtjn1hyOWEGwLpDosMwcADRQKQbBJEIx1xH8yCTu65i8AMLTB1o9l8iTu7dFPwahtNFvIu66lp/jv5EYGHEGMWRlN/QIHrLA4UeAGEA4uRfjJsHrhMIHyvBzjJjDTQdxwQ7GFcocVi87+t6a/DFJwiTlAudEQH7qknJw2iikyv9flIO+nXfc3x55aGmDykaFCgqQCFzxTvrhwhn1Gsa9aO8BBDUlbRRP2f3NPYukwSiaFadIDebbLMrrDwO2wX6l3IGFaAnwBvNLccoVIqjfe+Rfym8UPvYDeRTCN1pAiknQQHgIj83AnZ1M+JBG4J26/+SAOLFZuJxX+Zm0sXEyNlUOLG/g++hnEAMhzu8lDIR2uWbtSUxx87XXal/E48884+eAoZSWWWwolp0HaLYq+9lF1rlynr1vj3+wx2Yu00c83sZ5wyJKGuV0yCQaKUY9RCpfGQMZA+uLgSDgcS8T7mAM5H3FFVfY1VdfXRSj/UrpHHuex48fb2PHst/JSXpHR4ftscce9sILL6zBTIpMhvGQGcQwkDRqo0Co0Wf09Vl7vc86ORipVrNTTzjBXn5lERoKM45vra2SWIU5eVdPt3G8MKsLmISxl7d7ke399gNsxj0LJL/BQy5rI5hEg0G8QSuIUYvsDFjGwIbHQDCEYBBlphDPN910k5177rmF/yxWD/vss4+YQYvc6FT0DHPgF6sLVgu8P//88wK8HD7cmmQGMVxMjdJ4tR7XT/heALMXn5lrZ59ymou9rNu++7UvyVcTMwx8MOF7acIWW1qlZRs76oSTrFZ92axvhe3zdwfYE7OXhoC/sadATIjKZwYxSrtABmsjxkAwhqhCMIx4ZwUQqwLCIv6ee+6p53gfmI4VBNett95qhx12WCFagmkMjBtlNbtnBtEMKxtTWNrnUE1+oG78yc/s1ht+mYTb+C9ariMf0c1C4nGI2FPD76yvIsyWW2/nYtvz795nf5j5kvZDdHXDdOrWxRnXhTgpM4iNqVtkWDc+DJQJN4Sc36GHHmo//OEPC71DMISDDz5YFYxVRtR24Dvhu+++u91yyy0RpViJFAFrecgMYi3I2Rg++REaEO92W716qZ1w/Ck25w9/EYOoVlfY1//pyzYO/0v4YmqZYGPHJg+vYzaz4/FnZMutr3uZ7f72d9ljD78spSk8wQ+VT9ZjQkRmEBtDf8gwbnwYCKIPQ4iL5wcffFCrh2effTaCi5XAUUcdVawE8DJQZgzxzJ1vP/jBD6SPIM9gQuWyisybPGQG0QQpG08QBByFAjqGJbZwwRN2yFEn26IVMfHv1v49VguykOnFIgLT0e50bgKsYIX1VVfaHju/yx55cB575gq1Q7F4EEISgyghR9Zbpff8mDGQMbB+GIBJBKMgB57PPvtszf55b2vDg4BfnDW+995726677ioGMmYMTjkrdvTRR0eUghEQgA6C74888ogYTJw2GFZPRaImD5lBNEHKxhOEi9cuM9x/9y62R6bfbYd9/FRtkoO448MISSQ/2aMjZ5JqmnOse7Vh7Pl5f7S3vHmijatsYZXKNvbzm+8Ug/AVRBkT/RkE+WcGUcZPfs4YWHcMNJvRR9guu+xiZ5xxRsE4YBrxDYI/b968okAU2Sis3/GOdygsGA7xYQQTJ060L37xi0X84TAHImcGUaBsY3xI+yB62826F9s3vvJlu+623/kJa2m1WmYQroUIc1UslHhOZzwQP9nkO/GPVUjgpb/dfcSJr/meMZAxsOEwAAEfN26cXXnllcp0IEEfKCKCIVx++eXW2toqxXTEj3gotY888siCwbjzy6HhzQxiaByN4hh1u2nKtXb15G/Zow/cZR87/B9s4aperRhYBmDhhCkrIiYIemGJJHV1Ek/JuUPyNJpUDkH8PU1UPzOIwES+ZwxsSAxAxCHw5YvVAasEiH6sGohXjhu6hmACYfGEUjuuyPeggw6y3XbbTcHrYu6aGURgcqO8123q/ffYVpuPsy985lPWs7pTpF8mrywOoOmFKCgIvAdK5KSvrCQa+x3opvGt6LJ6iPSRZzAdf8//GQMZA+uHgceds2gAAASqSURBVGAAcSeXWbNmiUH86Ec/KnZID8w9iD/hpF2wYIHSXHbZZYqKriKu4447znbaaaeC2UT4UPfMIIbC0Kj+DtGuWU91tfVyqk9aKXThGjzoucRIaJ7RIXggDKC/RoFwJ/h868cgyDZ+wXHKQUqZ/zIGMgY2BAZiVTB37lwRe0RMMIJgBiE6iniUyYogGAQK62nTpvUDBaX0McccY5MmTVI84rLqKDOkfglKL5lBlJCx8T3iW6lHymKIOp6jIeZVXHbjw457H3sZ0DP4KkEuqJPnU5iEX8NkEM6DlKTgGZFFvmcMZAysMwaC8EfCINowAHQQsQeC74TNnj1bu6pD1BTiIr5fddVVdtZZZymrCI/8YQ5h5UQZER7lDnbPDGIwzGwU4RB2P3Ogs5rOMPZFglW7wr84Dr46/BwEeTh1N9cwB5hKUk4UO6fXuoJIDCKYg9JvFHjKQGYMjE4MQKj5BWMAynjeeeed7bTTThPgoWfgfvjhhxfK60h7zTXX2CGHHNKP8MfKggzQZ3zve9/r9304GMkMYjhYGrVx0CrjbwmPrumYGag2FDwpnN2ldTowASd8OuAIV9T95USYrLK6GJRBwHgygxi1PSEDtvFiIBhC3Fkp8Iz/pb322qvwrQQz4NvMmTMNURI/rJYwb508eXKBgGAmBJDP9OnT5czv/vvvV5ywYApxVZGwyUNmEE2QsvEE4WYccRJqaYh+3WqcaonTVURNnB8UK4W0suCMilp4Ze1H9J1BxOog8QJHRZPACNp4cJUhzRgYnRiA6HPFnWeYwYwZMzTzZ6NbMA/C44rnYAjl9MSPNDAP9lSsz5UZxPpgbVSlSZS/pEAO8IKIq0ulF18pkKaxIoj4rsRuvOWnjIGMgZHFAHsX0CsEMwCaIPxlyII5NIuHqOqOO+5QunLa8nM5r/JzZhBlbOTnjIGMgYyBUYQB/DBtttlmVvbHFOChYygzBERHsZoI/QPeXNldHQyknDae13bPDGJt2MnfMgYyBjIGRhgDU6ZMsWOPPVZQwAAGzvzRJQRjgGGUv6OjmD9/vtKGZVNUJ9LEe7N7ZhDNsJLDMgYyBjIGRgEGIPYQfU6TwwqJizB+EPwy0Q+CTxhp0DugxwhldNzLDGSoKmYGMRSG8veMgYyBjIERxkAQ/2ZgDGQSAxkAO6rLIiaey6KpZnlGWGYQgYl8zxjIGMgYGGUYGEjYA7xYPcA4ynH43oz4EyeYTDCQeI88m90zg2iGlRyWMZAxkDEwSjAQoiHAidVCMIG4x96GIP4Rj/f4RvrIayBTGayqmUEMhpkcnjGQMZAxMMIYKBPy8jOEn18wCO7xvbMT7wmuq4jvrBbKjCK+D1W9zCCGwlD+njGQMZAxsIliIDOITbThc7UzBjIGMgaGwkBmEENhKH/PGMgYyBjYRDGQGcQm2vC52hkDGQMZA0NhIDOIoTCUv2cMZAxkDGyiGMgMYhNt+FztjIGMgYyBoTCQGcRQGMrfMwYyBjIGNlEMZAaxiTZ8rnbGQMZAxsBQGMgMYigM5e8ZAxkDGQObKAYyg9hEGz5XO2MgYyBjYCgMZAYxFIby94yBjIGMgU0UA/8PbBOHEZuTHM0AAAAASUVORK5CYII=)
D. Electricity user segmentation model
(1) Overall framework: based on the above theory, the primary database of smart cities is utilized to establish a functional structure model for electricity user segmentation (Figure 3). First, a data warehouse is established. Then, relevant user segmentation data are extracted for data analysis. Afterward, data are cleaned and conversed. The association analysis method is adopted for data mining, and finally, the mining results are analyzed. The primary smart city database is the foundation of the entire model. Pre-processing of data is the guarantee for real and effective mining results. The effectiveness of user segmentation depends largely on selecting user consideration standards and establishing measurements. The adopted mining method based on actual needs is the key to the entire model.
(2) User segmentation: currently, the research and the adopted electricity data analysis technology use traditional data mining and statistical methods. The smart city public primary database data are added to the electricity big data analysis for improving the algorithm’s accuracy and usability. Besides, the big data method is utilized for prediction, and the used data types are as many as possible. The prediction task that has been impossible previously can be completed by exploring the data association relationship, which can ensure high precision simultaneously. The electricity value of the population analyzes users’ electricity value from a personal perspective and obtains the gathering area of high-potential users through personal information and social insurance information.
(3) Data processing: for confidentiality concerns, the Dongfangtong TI-ETL tools, and data desensitization technology are utilized to transform sensitive or confidential information through desensitization rules, thereby protecting the sensitive and private data. For some missing data, the citizen’s name, gender, address, and other elements are extracted from other information. Various social security databases are integrated, and the collected information is used to roughly restore the demographic information and provide the basis for electricity user segmentation.
(4) Algorithm realization: it is divided into population electricity value information, enterprise commercial value distribution, and macroeconomic information. For human electricity value information, as shown in Figure 4, the electricity users are segmented, and the integrated resident data are arranged in a table from high to low in the order of individual units according to residents’ social insurance information, social security information, corporate information, and the potential and influence of electricity use. Each administrative district is taken as a unit. As for the data of the corporate legal person, the legal person’s registered capital is used as the analysis target, and the social insurance information is based on the insurance amount, the social security information based on the subsidy amount, and the housing provident fund based on the monthly payment amount [21].
The distribution of enterprise value is shown in Figure 5. The organization code is used as the search basis to match each commission, office, and bureau’s source data. The evaluation and ranking are based on four dimensions: business category, registered capital, annual turnover, and the number of employees. Each administrative district is taken as a unit. For corporate legal person’s data, K-means cluster analysis is performed based on turnover, registered capital, and the number of employees. For business categories, the conversion weight ratio of the construction industry to turnover is set to 10%, that of the manufacturing is 100%, the wholesale retail industry is 30%, and the service industry is 15% [22].
In terms of the macro-economic information, the macro value evaluation aims to evaluate the administrative districts’ electricity consumption potential for the segmentation of electricity users. The data of some districts can be accurate to the administrative streets. According to previous studies, several significant data categories are selected, such as regional Gross Domestic Product (GDP), per capita disposable income, per capita GDP, total asset investment, and trade data [23].
Five districts A, B, C, D, and E in a city are chosen for empirical research. In District A, four companies are chosen from the industrial area A11-A14; in District B, four companies are chosen from the office building area B11-B14; in District C, four neighborhoods are selected from the residential areas C11-C14; District D and E are comparison controls.
E. Model of electricity demand prediction
(1) Impact indicators: electric energy consumption is affected by multiple factors. However, traditional prediction introduces fewer factors as variables. These methods only consider the internal data of electricity companies and fail to fully consider the impact of changes in other factors on prediction. Therefore, the prediction accuracy of electricity information is very limited [24]. The external information of electricity companies provided by the primary database of smart cities is fully utilized. Given the impact of changes in various relevant objects on the prediction value, the prediction of regional annual electricity consumption is researched involving multiple influencing factors.
In addition to the electricity companies’ factors, the total electricity consumption is also affected by many factors such as population and corporate trends, economic conditions, energy policies, and electricity price adjustments. In particular, the development of social and economic operations needs to consume a large amount of electric energy, and there is a correlation between electricity consumption and economic indicators [25]. There are many statistical dimensions of economic data. The characteristic relationship of a district’s social product, per capita GDP, price index, total import and export, and other economic indicators are combined with the internal data of electricity companies to establish a mathematical model for electricity consumption prediction [26]. The specific names of the data indicators are as follows: (1) macroeconomic data; (2) policies and other external data; (3) regional electricity consumption data in past years; (4) electricity user segmentation data.
(2) Normalization processing: ANN usually normalizes the data before training. The training effects of different transfer functions are different to avoid neuron oversaturation [27]. The input data value must be within [0,1], which is the characteristic requirement of the transfer activation function. Therefore, the original data of the network must be processed. The original data are normalized, and the equation is as follows:
![](data:image/png;base64,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)
In (6),
is the i-th feature parameter after normalization,
is the original i-th feature parameter,
is the minimum value of the i-th feature parameter, and
is the maximum value of the i-th feature parameter.
(3) Parameter determination: after preliminary experiments, a three-layer network model structure with a hidden layer is determined. The number of neurons is 18, and the logsig transformation function is used. The number of neurons in the second layer is the same as the number of output variable vectors, and the output layer uses a pure linear transformation function. The input feature parameters are 65; that is, the number of input layer nodes is 65, and the number of output layer nodes is 5. Generally, increasing the number of nodes in the hidden layer can reduce the network’s training error more than increasing the number of hidden layers. The BP neural network algorithm can be set as a three-layer structure to map the n-dimensional input layer to the m-dimensional output layer. Therefore, the number of hidden layers in the network is determined as 1. When applying a neural network for electricity prediction, the reference equations for selecting the number of hidden layer neurons are as follows:
![](data:image/png;base64,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)
In (7) and (8), h is the number of nodes in the hidden layer, m is the number of nodes in the input layer, and n is the number of nodes in the output layer. After a comprehensive comparison of experiments, the number of nodes in the hidden layer is selected as 18. The S-tangent tansing is selected as the activation function for hidden layer neurons, and the activation function for output layer neurons is the S-type logarithmic logsig function.
(4) Data source: The streaming data in the power grid come from the collection of smart meters, PMUs, and various sensors. These data are large in scale, diverse in structure, and fast. To accurately obtain the electricity consumption data of different electric equipment of users, the electric power company has installed a large number of smart meters, which will send real-time electricity consumption information to the grid every 5 minutes. The real-time collection of streaming data requires the characteristics of fast collection speed, high reliability, real-time monitoring of data changes, and simple data processing. Therefore, the collection system is a distributed, reliable, and highly available system of massive log aggregation, which can monitor and receive data from the client and send it out. When a node fails, the log file is transferred to other nodes without loss, ensuring data integrity.
F. System improvement and verification
(1) System improvement: the influence of changing trends on the error surface. The BP neural network may fall into a local minimum, which can be prevented by the additional momentum. The adjustment equations for weight and threshold with additional momentum factor are:
![](data:image/png;base64,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)
In (9) and (10), w is the weight vector, k is the number of training, mc is the momentum factor,
is the learning rate,
is the gradient of the error function, and
and
are the correlation coefficients.
(2) Clustering algorithm evaluation: Here, the K-means clustering algorithm uses the square-error and criterion function to evaluate the clustering performance. X represents the given dataset, and each data unit is a p-dimensional feature vector. It is set to K categories. The algorithm randomly selects k data as the starting cluster center analyzes the distance from each data unit to the cluster and divides the data into the array sink where the corresponding cluster center is located. It is supposed that X contains k data groups X1, X2 … Xk, the amount of data units in each data group is m1, m2, ..., mk; the cluster centers of each data group are n1, n2, ..., nk. The used square error equation [28] is:
![](data:image/png;base64,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)
(3) BP neural network training: the training times of the neural network is 10,000, the expected error of training is 0.02, and the learning rate is 0.01. The pre-processed data matrix is imported into MATLAB and normalized. The newff function is employed to establish a BP neural network model. After the calculation, the data go through the denormalization processing, and the MATLAB toolbox performs calculations to obtain the relative error percentage and the predicted electricity demand value.