{"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"pygments_lexer":"ipython3","nbconvert_exporter":"python","version":"3.6.4","file_extension":".py","codemirror_mode":{"name":"ipython","version":3},"name":"python","mimetype":"text/x-python"}},"nbformat_minor":4,"nbformat":4,"cells":[{"cell_type":"markdown","source":"#  <center> A Complete Guide to K-Nearest Neighbours </center>\n\n### <center> Support me with an upvote if you find it useful! 👍 </center>","metadata":{}},{"cell_type":"markdown","source":"## Table of Contents\n\n<a id=\"toc\"></a>\n\n- [1. Introduction](#1)\n    - 1.1 What is the K-Nearest Neighbour?\n    - 1.2 How does the K-Nearest Neighbour work?\n        \n        \n- [2. How does it find the neighbours?](#2)\n    - 2.1 Distance Formulas\n    - 2.2 Data Normalization\n    - 2.3 Encoding Categorical Variables\n    - 2.4 How many closest neighbours?\n    - 2.5 The curse of dimensionality\n\n\n- [3. Example: Titanic Survival Prediction](#4)\n    - 4.1 Data Preparation\n    - 4.2 Tuning hyperparameters\n    - 4.3 Making predictions","metadata":{}},{"cell_type":"markdown","source":"Have a look at these notebooks if you want to learn about:\n\n1. **Linear Regression**: [A Complete Guide to Linear Regression](https://www.kaggle.com/code/ryanluoli2/a-complete-guide-to-linear-regression)\n2. **Regularized Regression**: [A Complete Guide to Regularized Regressions](https://www.kaggle.com/code/ryanluoli2/a-complete-guide-to-regularized-regressions)\n3. **Logistic Regression**: [A Complete Guide to Logistic Regression](https://www.kaggle.com/code/ryanluoli2/a-complete-guide-to-logistic-regression)\n4. **Support Vector Machine**: [A Complete Guide to Support Vector Machine](https://www.kaggle.com/code/ryanluoli2/a-complete-guide-to-support-vector-machine)\n5. **Decision Trees & Tree Ensembles**: [A Complete Guide to Decision Trees & Ensembles](https://www.kaggle.com/code/ryanluoli2/a-complete-guide-to-decision-trees-ensembles)\n6. **Naive Bayes**: [A Complete Guide to Naive Bayes Classifiers](https://www.kaggle.com/code/ryanluoli2/a-complete-guide-to-naive-bayes-classifiers)","metadata":{}},{"cell_type":"markdown","source":"<a id=\"1\"></a>\n\n# <center>Introduction</center>","metadata":{}},{"cell_type":"markdown","source":"## What is the K-Nearest Neighbours?\n\n**`K-Nearest Neighbours`** is an algorithm that can be used for both **classification** and **regression** problems which assumes that **similar inputs** lead to **similar outputs**. \n\nMore specifically, it relys on the central idea that data points with **similar attributes** (input variable X) tend to fall into **similar categories** or have **similar values** (output variable Y). For example, food with similar **sweetness** and **crunchiness** values are likely to be of the same 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"}}},{"cell_type":"markdown","source":"Under such an assumption, the **K-Nearest Neighbours** algorithm finds the **k closest neighbours** of a data point and **classifies** this point to the **same category** of its neighbours.","metadata":{}},{"cell_type":"markdown","source":"## How does the K-Nearest Neigbours work?\n\nSuppose we have a data point representing **tomatoes** and we find that the **k=3** closest neighbours are **oranges**, **grapes** and **nuts**. Since 2 out of the 3 closest neighbours are **fruits**, the K-Nearest Neighbours algorithm will classify tomatoes as fruit.","metadata":{}},{"cell_type":"markdown","source":"![02-min.png](attachment:d027f568-2de5-427e-a24f-0002a69fdb76.png)","metadata":{},"attachments":{"d027f568-2de5-427e-a24f-0002a69fdb76.png":{"image/png":"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"}}},{"cell_type":"markdown","source":"As shown in the above example, the **K-Nearest Neighbours** algorithm takes the **majority class** as the **classification** output. When dealing with **regression** problems, the algorithm calculates the **average value** of the neighbours as the output.\n\nWe now understand how **K-Nearest Neighbours** works intuitively, but how exactly does it **find the closest neighbours** of a data point? In other words, how does it **measure the distances** between data points?","metadata":{}},{"cell_type":"markdown","source":"<a id=\"2\"></a>\n\n# <center>How does it find the neighbours?</center>","metadata":{}},{"cell_type":"markdown","source":"## Distance Formulas\n\nThere are **3 common ways** to calculate the **distance** between two data points:","metadata":{}},{"cell_type":"markdown","source":"![03.jpg](attachment:d11459bc-0ec6-4b92-8ea9-e143624a172d.jpg)","metadata":{},"attachments":{"d11459bc-0ec6-4b92-8ea9-e143624a172d.jpg":{"image/jpeg":"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"}}},{"cell_type":"markdown","source":"Let's get some visualizations on these **distances**:","metadata":{}},{"cell_type":"markdown","source":"![04-min.png](attachment:0b533fea-0c35-4d26-8117-9685fb6e7db4.png)","metadata":{},"attachments":{"0b533fea-0c35-4d26-8117-9685fb6e7db4.png":{"image/png":"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"}}},{"cell_type":"markdown","source":"As shown in the above formulas, we can see that for an **n-dimensional** data point, all **n features** are used in the calculations of the distances. This leads to a problem: what if one of the features has very **large values** and another one takes on **small values**, for example **height** and **income** of a customer.\n\nThe differences between 2 data points in **income** will always be much larger than that in **height**. Does it mean that **income** is a more important feature? \n\nThe answer is no! To avoid this from happening, we have to **normalize** the data before it can be used to calculate the distances.","metadata":{}},{"cell_type":"markdown","source":"## Data Normalization\n\nGenerally, there are **2 normalization methods**:","metadata":{}},{"cell_type":"markdown","source":"![05.jpg](attachment:a2421c6a-3187-418d-92af-bc8dee743ade.jpg)","metadata":{},"attachments":{"a2421c6a-3187-418d-92af-bc8dee743ade.jpg":{"image/jpeg":"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"}}},{"cell_type":"markdown","source":"The **`Min-Max Normalization`** typically works well when the feature is roughly **uniformly distributed**. On the other hand, the **`Z-Score Normalization`** is better when there are **outliers** in the feature values. In other words, the second method works well when the feature values more resemble a **normal distribution**.","metadata":{}},{"cell_type":"markdown","source":"## Encoding Categorical Variables\n\nBoth **calculating distances** and **normalizing values** can only be done when the input variables are **numerical**. What if we have **categorical** input variables?\n\nWe encode it! **Encoding** means replacing the **categories** of a categorical variable with **dummy numerical values**. Let's have a look at an example of how the features **gender** and **temperature** can be encoded in **different ways**:","metadata":{}},{"cell_type":"markdown","source":"![06-min.png](attachment:1ad11fab-5fb6-4445-a30e-b29e88799dbe.png)","metadata":{},"attachments":{"1ad11fab-5fb6-4445-a30e-b29e88799dbe.png":{"image/png":"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"}}},{"cell_type":"markdown","source":"After **encoding** all the categorical variables and **normalizing** the values, we can calculate the **distances** between the data points and therefore find the **closest neighbours**. But **how many** of these closest neighbours should we use to classify a new data point?","metadata":{}},{"cell_type":"markdown","source":"## How many closest neighbours?\n\nThere is a **trade-off** when choosing the **k** value.\n\nA model can take on a **high k** value and considers **a lot of neighbours**. In this case, the model is likely to experience **underfitting**. As demonstrated in the below diagram (k=99), **underfitting** means that the model has a high **bias** and is **under-performing**.","metadata":{}},{"cell_type":"markdown","source":"![07-min.png](attachment:8f690457-e582-44f7-9d4d-8ceb49657248.png)","metadata":{},"attachments":{"8f690457-e582-44f7-9d4d-8ceb49657248.png":{"image/png":"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"}}},{"cell_type":"markdown","source":"Conversely, if the model takes a **low k** value (k=1), it becomes **highly dependent** on the training data. In this case, the model will have a **high variance** and is likely to experience **overfitting**. How can we find on the **best k** value then? \n\nWe have to use **cross-validation** and find the **optimal k** value that balance the **bias-variance trade-off**:","metadata":{}},{"cell_type":"markdown","source":"![08-min.png](attachment:c2da59c4-ca03-417b-8d83-bdea37cb4a7b.png)","metadata":{},"attachments":{"c2da59c4-ca03-417b-8d83-bdea37cb4a7b.png":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAfQAAAHCCAMAAAAuK8sIAAAABGdBTUEAALGPC/xhBQAAAAFzUkdCAK7OHOkAAABsUExURdzi6QKK/9re5dDU2+Tq89XZ397j6+Lo8ODl7dfc4tvg58jM0s3R18YlBUxPVWtudAMEB7Da+/Dq76Omrbi8womNlD6Z6a4rFCotMxCF7BVfqe6xqLhFMskkA4O979mJffTQzcZlVjd5u2SZznDQxZgAACAASURBVHja7F1pk+sqDuXabWw8yYf0VCXlytZ57///xwEJgcTiTvckt+wq4w1wFpvDkYTAWO1iaOdD13Z+zYLJMoqhgZ0NMWbDiCFEKM0TSsmTKoZxLJ3S2q4iqG/Ctx8IH8x/uHpx8Rqr1xtvmEKIUbHJZBK6ZwLgBosLymKdL2XIOextCrqhnUHMu7BExBt2D+FW2P1Wy0PZxRUb20IpjiLbbQDF4GAXy+tAL/6wuDZc2ImQy1BvaqCHODGkCZQBmGmlwu3kwqHmGwc9EL0GeUeYE/AZ2z3UFDdGUL0LJHcruxm6xwzxtAL4EvPrqLKF5QWWK7m9DHT4A/wT/Gn/1XgB8uJop0btj3jBKoN9JMhHYryJ5Giw9JJyBfSZqDUZw/3WMqpHpgPa/uCPu4TmhHlRvBPRjax9Ur7DPbD7iMIsFgDmeYHoAR/DLpQaQzwSCwWuTSDIXAS8EPTwBV38bpROCeMpl2qGYHssgVgyWBimKNgD5LLAO1OV8MRcC3o7z/OuZTyPgqKkwiGK0ogBK0HHU4YhXRPqsQyLDGLI+xwhb/VPiAvLoPRTS+nbijhP9ZRLJnYbIR3vQFgxXKFD6Ugpz00jLtxhZdTLtHkQ0Mh1xQDnPJewl3ketUgjSN3IJQ1j5PeId8ZqeSLTuYYcGcBRZAqxjjyPTC8H9su/YvpYERLur7XXNqlu0swWDXfA7NcmcL0ZJepepscjQ7yTap0gN3NMt4sCvHOi7wpGXCuqTWrIxbrX8bUhE64hG84EK0VUiBRzTQXERfQ4AxvA7VEHGT/P7LD8MKhorKVGPWp5oc0VaXMdrzlgnzZXkAS8SDDpdWLaDorGXMds+UTG8yYXgai8bCeeM02+E0acEOptxvf49x3DPmuyhTrL22yJIKAyaeziC0dzdo8CcyY/oWhH/LTdV2jqcBnUkO3A4C+dyD4XLEP3dxHj0Z50mxYSxV6/Dp+TokrCnah3tGvsamhphGwPRly0njov5h0obZnqIN07RfyuttXalisFrDelBriETtjnOZkVa7OIlhdjovZNr2Fwm6adpmhYQ14S+mEo5PHlV7tasKd7+Ei8nPya/O1ABcOYs0ZCG0ALN4BvJoRTqmAvlhr7YDKZtJHuYoA5Mj2huIgzohPsh+6whZeFUXdf7wg1F02HTBeNtnoTPYh1dfv3+JNwo/1v17lFfi49Vfh09VzhVPnj1evKLuiJ9d/D5/nx+nB53OvNdUVGXJDuu7IrDgWD+5453KYtvCr8Y0G/nETYs+334S6MeO6UQ50unDNFbd4G+8+G/jb92cKLwuRA319j2CfLT0L4zn6fgC4abp7pT/ncPfCO6RtYr8I8A/01IWE6N8WB6TP6nHjectd9t4H+wnBE0O2Ca3EpZeRCQGQUme4tORUb6Lu6W4Y1zduu2UB/PdP3Lw1F8R4dNEq44naVrrU2NO43nf4Wpu/fAXpTIDrAqLjhnnSzCId7dPFsTH8901+OOup0UyB6YHrsZ9mVIE8GTmygv0Gnvzp48Z7DXjPkutxwj5CbDfTF6/R9ar0L/3unMst91/oBFknfWmixbU22NzD9+h6mSwlP9FWlHtVuhuidGTfQ39BO/ztMRyBVaeSEGC2Twm7MZr2vhOkmZTp1niS9a4HjrM0mjXezWe+rYrqpML06LK7t8jFxm05fj07PR0q2num7Qg960kgXTN90+pqs99L4WMH0XWlEXM70Taevo53eFMdEt4HpiXyX/anJIMhNp6+H6eypIy7egx9uVxn8mkK/6fT1ML04HBo9cnmPalt5qAHqzabT/xLTqceUJVj8WaZnHhrH9DbV6elTa236NMum0/8O068IcPnE9Tnrne0S0Dt6jCUb1J4/grxYne4GnFH0D4vH6LqY7rpH3UA5P7iCEojo6Rmd3tSeaVYFK44/7VZ4UHGROn063m63o8fXJY7HKUZXyfTT6XG/3y8I++l0ocTeRR+nZzxylafXVakfveVDJtoV6PRpOuIg8iMkbhB3V2kxP9z89U7rYvr+cj/b8HU/AeaQODusTxcXg+xvdLoxfHqIWaazByIKkw8sUqc7zN3Q+sNhYombjd9cFGLTcV1MP92/LLMv58/7KSbOD8D/4jZXLy6/Z/oufUS17ItbbjvdYeuUN5DaJ/6BA4zRv9mdFfPTeph+dXy+w/j185dF9vJ1dnHMs+S3sYc7d69YdMR0mi1CNtYV72PrEts9Zbp/IHmBoHvBfnRUP+L1Te6IJL/dXOo4rYfpFvQ7uuRPj6+HI/rjdMVMQH4P8N9nvPaB6abkhp0Z516cb2KBOh3B9seJgx6Yflyoc6HO9AdqbQe6h9clLMEBb8f0Byr267dMT6muCp6Zrj7jxFJ1uhfvgPMRWA92e9DpLr466x0GtwO5T+fzKYDuci5uA8xnmN6U2ugM9F1p7ETSu0bLEnV6sN2mPwH0CdpwNxegUqzP947S3alxBP2K5Aaz/uFtuTLqgemmNPGUSoZEiiFxRS/sItvp07++yYZ2HIEORjs+MrtUJ02d6Q5OZ7BbaBnTLegW9scFSX/6ppctTlPAB1SoyvQyJceMNwUXyXRL8tvtQMZ7YPqfyPllmu/zTLeYW9v9ikzfE9PRQeM0+6PmpPFM71Kup0225FH0ku3uJ5dZpE6/UZONi/cg/I/MSbMa37trklsrLoLumX71qp6cNPNM51z3uKsS0QvN8zh50QKZHg12p7uZIeeZ7jyx5KRZE9OdS+YEmj3q9AdGLqjUXcZ+XqeLqWmkeO+YSm/LOt0s1vc+HT+8p1WATu5XIDoYdYdpTUwHIy7wmqx3/6TanZpu97n+9NQDazJDrvBkQ67Rl9lOR9AnD3pspwcnzQ21/bQipjtAL+hx82IewYdGPDppnIO+KN8j0+UUVKl4Z0Zcde7XpbbTwSmDLTebgPbZFAw6qAhLBX3G9+4M9xPFXcMNsry77r7/nulsUsk4HNokOr2Ts0i1+SzP3VLb6dZIO7KG+o3iqNEnkvu3P9NqmH46f90fF5g0yHe4XB531ODXyx3yntLpfobmrsD0TphxGdsNc84s0ffue1ODNqeuVVYtXFhRO9211s4YPMLUtUrjaU6X+/k+Z70bNnmrcKSrlOgV5yuTD80yB1GgB4YSNIiCN+WPC3TP1Jl+scz2C1YCx/mTYPM+yakwPUzlSfJapU8sdmXDnU3k3fRL7bvgicL5dfner9wbm2RizvWJZ9nivODswQclu9dKo6SMILzZRsP+JetdONVLMD8xcsYwGR873JR8ZpFPUpHP+euZvoH+eqZf66Nhr8wXXxcHlf50Pke49L1LD2w+gz8z9+0P6A301zP9HU+thln4OzEvuEnFe4HovF2/Mf1vMv3/fsKFT8HP/bAq71Ntqxodf2Jj+mqYHqfgD+02YnqXTiUleM49sBvTV8b0hjE9Tkyh0ocWa+/Z25i+OqYb7pLLrXc5/LXcRo9v1dtAXwfTk/d5caZXX8bEBk5sTF+pTpei3aRMrxM9dq9tTF+fTk+YDpCqZ4a605DIbmP6apnOPfAqnQW2LQ2WQZW+We/ra6cnIh7RVHND3fmbHONL3zamr4bpjRTuJOJV9pLsonDv2Pv+NqavyXpvkldjok5P38zTlsw4/kLFjenr0ekNg13o9K5myZlUssO7U7dJ/t/B9P27fO/J+5eNt96rCl1YcvEVvhvTX8/0t7zZYWyEgA/UBabPNdGDzz1Wlo3pi2c6vsNljG9d5zaZBb3jgyeymaREX0u3Mf19Ov21wYNumuy1225VrGctGfZsSkzf2ulvst5fjToynV56LV+yruR7VCuPtUTLLzI9zNj0k+3Nu7VtMFz7HTp9D9Y7ivdG+uOMb7LNPNUSBswwpvdufLFdwpov8+v7ds+sizpO8Fbly4vDya7/7Ro5eyBjephOKp13gjXa+CNROBz24J4FZwvt+Bm3ylOU+bPdL8ON9jxy43kLONqdGeihhteG/xgw5AyucXgkMr08C6yRD7HximLGUQ26GYbRLsPQ614p2A32OAyQsLn6Qynda9X3vTvqD+32vT58s/sYPga7s7/hYh/2p1zQT+3i+rGGYC/U3ujnZ//Zp2GopWMEgrbb+DngYpN4sNkO8mC9N6Ktrkp+GSMVOlcJobMuHJtmdHXK7UYXGjyMyq7KriGMmNCD1gpWiNnr0xov02VAUvusgfIhCXsfHcLO1g3tKoitL70eoExg/fiAknFFGyI+XjkOfT97Pj3y32P/Zf+692l/tMDGg73QD46Zv+kh3m8h+EylYpaLKizmEUu+cQkHNKLQmKDTGyO7XVR5ihkjGumpUucH98vuv1xEqUZBWsHlKI86gD2GCjDqcAYqAdwNv58E9SFWaRf6oRbcGQv/AGsPSdoGnh3Ps3SIV85n6eTr2ok8hp7mVTOgq7Woy4oQjRuVyKCo1EZHESixMRRjEyg1YmETzxB/02BzreFqvZtnupTt3AtLWOMOahHULQs04B3+Hy6BLlErFXnvayxkqhLavm7nSPchIRePbZ8g45e4m1+e+cyQfYFdQh+vbQjVyK+Dzusv4jzkhPYsiFQBUqsxoB7BJ5576YoivfEc9PgYGkxBKh2YXh3sHnpbCHLf2g9gUxhpGcP/I9eDYB/j5WNldlUhCqpcnGUMrzK9p5rg9Z0Hue8D4j0T++yYq9Eh6s308/7ckJzjG9WuCPfAYC+KLU9/LcH3RAi88JmMRoS6F+9Q7E1EPSIeZTsjuypOMcNt98zgN6EaBcy9vh4F0UmsK0Z40OYedMzymEsZpwc9I8JLRBe0/h9t18IbKa9DoxDyAsGIEIn//0uvnaedMNV+au90t0sh7ZKcHPv4wZThNdDd9NPspciJt/HNWtBDy/dG/w8Z5K+IV0tWJAunelkXwUEXhTvFqpdF5i/GxeLVO9cLkGJ9fa84+o7R+YtK8cbtSvEm2qoL8g1ovCdirOp0qDGzL977Deu+zBwGYmx/+VLmj17EMFimusuW4b5q3BDd0DHbJwZ/2MVSEVBe0B1QWV+2QYGNxOkvTyrS9ykZRNv0qra8fW7CLR/Wu/WCEl1/c+ZZo09MN10/DZjnCz/Abiej/LpN1Pfvp3vLcsKTzcitwj+9TCX77Nwt9e051qn2vTK9WlAv2tnGdy+Zfucv8eUX9Axv/Ex7qLuz6Lg3+Il171uxcr/7KZhBiTqYP7Pvwt3mVTTVdfeIx1YV3YHkiKru6Scky8f1DySn3pv6jAn9iveL/uPk1hzzHqqWf40VVNHBihlNvLr2unKbmfgmrzrBiXFnBZe5NY4Tnbv0Eg0Qn+455oLHaM0XdT9VxIqgZt4y4a5J2JPXp4YN+D/7SU+n5fer4PhK95Phh7C6xtj/ZrHzFmPC4VXVjUw37bMh0Gvn6THluFljMNotzUpaHWLCOS9kIlH2835ZnBwce/ftrlFdUqYvX98xjsBP1Hv5kM4zCy9JqMb8TQ8wiDbRXcZzottXL48ZjyWe/RV1JxQx1/G4FXGkysdzV3/luGfxzyWFJZbdzFrTMMDx1HrGenyFc7MlC4VLo/bnxLu/0yrB4llzPM76xnVkOm5+r2U8N814ns277wk5SdJya03OzGn3kegF8u7ZHRV0DPMWrqUdqUtWoYToxKdTt26romvKbiC6tWpNoB/P0UCnMVImbjyColSX8djUN3P9BdoL/wwD1cR6M2lLO6j6t6CDWXfljmdT+bKGQ2LptNo/CPpx65LlIKAXgewNbhSv3QmjqH7zJYau1t25L0x/f2ixvbco0XOyJHomMcfI3pMHXch3zFu8PkSotsjWUcblJUz/f3yCx4OMs0q8vpqRdptshju99k2ni6qb8UvBRz6y3015HTwoPh4YdtXG7H1NGjCCd5/eckwqfiKCrv11P6fPk8dELTIdQNfLJpNsT3sEQU/CGK8D5ladn1vB6u5bMe+wgg2DZPizdWd4r44wffn2hAMXcS1KZ+mZIVasiRmfM64F8zHZMGZlxkQl43lhszLxuRG/9KWySwIfVmexOeuN0CLAfpElP27y97lFq5T7hs+rMwl2+2/67fqWxbGzV++bgBObpO76S23P4QxOGOAPCg6MWncH8y6gG5MWxoDwMiqBDr592R3IYFhaBN3A8lqT1lv7ZZe6cF7odVu8KEwv1Tb5M9NrOo493exIyWaAnGdfuxtHz+NJLpGkaBjkrZjykpXRlmS2Euhp+fZ43+dxrgo0zwGvgDY4xE3pEHY8czoYGOICVjKfiDgCLuO1OwSn/oMz78eWBANzeoYreZaXnXcCcDXZd23A0C9GWwUzgvvci3kXIe6IOd5xXBB0rdMIMOvCxfP5HGeQMsZdSJGvxNV4vcSQ1gTPF8suWc1FvFTSya9rdFOo3kI2at1FzQK2pHsx7rrC7zvROcMFi9NqwW2oPPWEdgIdOX0/x/Mg6Fty88cnFjvg07LAiVMoAat6ySOdeNCW4pkHLh7Pufy7qLPXu40fU3xzlp9NYGS6VeGJWKsxN0CMfId7izAdsFvJp5/PrXEQ3DHOFpiejmHEZiroXoIcgGXOVz4HSIMdpgtrAivQhLtklVHx5Q39KdFJUk6WUI0lakbTLrpgL0xHuSlIzPlu3L8nX7vfrEwH0D/nYoXR8YnCoCgCu49Xxfk5bqssejyfQYelMKCHgVawgoj2CmMW9RsdT/6yjC2x78bONZgBeH+AfQcZh/eKUwLIrAfZUkGHr9EH3FZsx+eROAK2gYdJSC1xhvAZ5aC2eEUC/QFou8PY2/sdlqSY9x6qZ6Yv335VC292Z4kZHqRLP6ZlWi5ed4/O0+22g24J5CPP9RvT0xHOf7nAZcvzFKDkQArFyvQnwIV0ojD9ufFE+MQr7QI43p/fgE5M/pTfn5KFbAoD1a8Tp2OW58B9HOA+wQFtaL+SeYebze4ezz7PqgJ4MWwhOI8dvjmikAP1jsIfJg0/W4HDCHZ/4FuAD2BHZHPFnOkvPHfryPRmImq0X2uqLgUHYgrWMr7N1NOaEeJua17G0pjttQRpOtMJ6AlTFHR6XwzoGliUWJkOeGJc/5zNvGs4cd0AOiyoUClaOn8HOi+6fcnKshjdstxcRh+2boRD3I4w2WUTqM8XoH8DXcHdL4hzEnLL5oSQq0ETIGA73MYn0BV8z4oazkB8j+bdgYYD9kfpS6DOsnLipX+ivbuQY+9N1KJ0x3iO6R9eXRMla1RShT4b914vENW695KyHWoveozYqioiTI8mG3p5hxjBwxWmJ9Ah2NoJ6AL2RwL9PqJAsH8P+pyaZ1mbSdARw25IfgbvA71y0u52yzM5OtPV+hwpKwtx+gorhCPA7yfQUb17m0CHLY9EkxZ+4FpBDx102viyDgWX2vz6Jt6roWC2XTrestFK58Wh99aPzvMMt3gpoesXxGu4VtavgG4a0812Hilf8ylM9xl0ZLrpTDcN9ITK+iegD7VWXn4lBt7YKWivwMMdY5COLYVGpKADRZtrQg6nkdiAyRkjQx2xZ9BVAR0tBq48ePhjAr2mY6l5f31L0Bei99w3b5/gIVuvqdZUMUu6V5ZbXk6ilYcXyC1lehVyMUXiEih+L04Tn56ZjqDrxnT0+hl0/XegT1qeSjsq74conVAdbsggtlnLH2Fb3XZw0A8svSDTnbohNN2WRZyN6aIxPSfuXGb6qql5551yk093tL66sqfZWzavA+5KN6QQL2G6INadG3dB5Vvvk9HajvGaeWN64jcyHZdTJS+drDljurpemQ6jPWZo/hD02ZuPFVhrzRi2NdiX8wAkJY6RiLHCe+s+/Qb1ceyV6TYeN/xAf42gmx3mg6oZ0D/FZN5bt5zM+Xfx5dev9Z6Ztet2x0EvHn0EvTG9ZWC95sZd8OpxaRl4Ddi4Oeygqww6/HsA2Oq6AvfpHPTGdAnLheodhM+fgW5f8/GWBXSM6YzzEWLqmDYGgL1jwvh+COgW5hTypn6chh2CMhRHFvOubVXvN3aNK4z3kOkAuh6YTjNyTMaVZxvWlT7HtNKAjbl05yem04Kvb+VV0vUhNC+zNNVO6ixToYIzPYFdQIcZ4nTD86HqPYPehJytTM9xupK/i9N/KLyaub1nqrFTpoN9/wBTk4kDWQKrAScO2ZMzKXo3ejs/4NPjE1ct4Lio9wiLh3G6tTmCF+FzrBb9QzfvravRtf5I8eVX9PB4rT4n0bqucnmthui0CXfmeW6ZKn1fU5GlVVr0S9/gkNKAGDXl3gvoKTVnYklSQawCUep9+USY5NNV8umemHdcyDT8+UPzPrXJjW24Y4aOBOxGHphlz6l4gDvNBDYkgH4h08Gbx5aRayMOMAHCYn4quJSREyK2jBzE6dmnZ/Muu/iuuIv5YaZMdfabIGSvtXDxTkEXLQPrO8+9oA6dM51UWax+yb2SjEbjSji3VENR2xlyPU0HzMcGEWMqNiodI6bVlTuDsvFcLjiRQN+OgE0yafh9Qlj0d5hblqB7aZgcqy4kSRNONNKp1rrBjnzihk0AK3gtHc4dlk7hHZ9w1mGogrnnDeYJK4tTOVcBw9GU4igwBMrr5Yzo08V9Bk9aaLoWF+OzLY6+OyRrgW3unBVbUpguiIZrQXrtmNG14bkxXWjaFtaf8xg6iYb+15zDUmVVy9MkcHDZ1Slw1OjtLlWebUGUa0W1PodypQuX3d0FIlf+IdPNoNxoibY0Q5KUzFB1UaYGL0q53eE94zE+EKbSYw9GLytOC9YN4o5d4o9MnLIwHPsrEt1S/c1YOMZWq/TMCYyivdCM6V8eT55DNunGzAwDnT/h4H2z7blHJv/pJp40R5FnG/S7jGvmcMiB1uK5tVPHQ6ugkxNqDytukCT7zP9ByX0x8GPRbaq91KqyYQ9z1fjW2taEVFprSvVaC1LtyM859V5oz7qmSIJGjHn3oXeGSzg51dc88+m9A7r1aPbOCU3b3EmHf50zy82MTO9pLcom2s3QlvSHHmcFuukM9x2z3//rl/3Wnm17nw9/VKd/UW1ff/yFEuN/zF2Jbuu4DhUUW5uNOLBkIP//pU/USlJyZnlzm2aANl0wvTbN/ZyjusDI082GQWsNMgJAi8YolB0XKdso1Q6eblcGlWGG7/nB9ZSO/15zdExqQTN3UcGQPbjfA98ZlwGCuzFs7s0+5/z/4SX9kTatYVn+c3sPJifkl2EM39y/PfloPoVYipnoWWaaCndDquEQOznQiU53QmiXTmuTdhzDrrh4Xy1bohfTO0tA7+gh61avqxa0XhN0t9YyupmBZYg/gIuos/syM3j+AGtvYz6zGRazB+/DY/kzRr/3dI13bDS3NzsbDCygI+o81morDUUsjGmi9c677und8vajpw9c1V64V4RcxluS8I6iO8JtsmGc6D1av8z7yQxN6qdhtDJk+LPGgtP8Ra1tUnmn9R8J8AwVzeI7vqIGlEYpzvDw3gh/5R668T/s6Zjy4Ci5qWNixZThYOnpH8jTe59u+xqd5HTGbyIpnTbmGAw5LlooyohMtpjBK9Jc/y3cG6vy/lubU/LrwH4bMFPaMCCoMgYtJFpIFI3YWDEonUvQ+USc2TaQ2lpOf0zPcFipjKxl3FdscsBhstIdZXfFhnECM7XMjK2oeafW7GkIW2Uo5r7+YhwYNpQ3A90S96id4dEzfLV/h4y3kFkLOdW74xujuyZNgMewE7HAdeC1YCfPNpedFt36dMSldYy/SDJ6LeTKVc56NcNARmSHOc3pv+K1mCleMtGnxm5Ncyx8k+QotwUxfzrgzCHmcs/ulME4erq1rgKixU2PjjdskpfuNLhjT2cZXRCyJa7jjOrImRvkBIYYkaLoxtNP81v8nROlSVq/hUmS8F6NTtRGcMx0I1Qlj0ElNbobG3Uc3i2nKq+ojKMj2OrpLKfjlD6J7sjqBheqw5qF6YZ0vqq+8fTf5e0cMjlqGsxcXVHSuumjyubodJyd22KVs3q943dkddtgFLyQw9O4lQZ4XrpnT5fY0+vIQKDOjZBtK22xkDT7A21ukRO3kgM8l08oCd8z962SBcfQ6A8cdaO46BBDH7kW4JVj8V1im7thJCdmJ7BR2bhGFa3jOGdnni4Q3l10DCwL7sTTiZ8P1RyhetJQOfP05VeY/ORwGsJ4q9o4ZprVSW1TRxgaR3iBrV47JLLQZJ7uqKeXmZzgmlJ4q4p4i03FokAnJC7kErod60eNPbrAno4wUsrcDeS0YT0tKYyHqv3x+FWx/QYw17QoPnp6uy/KrJs11NNdm3lgCGodyt5KkdCcfisLOuxapHUWS490+TLRBzM4qSsS3gViZTYOE6OjD1u1ltA/6wSdy3Hxe38uv6GiG8js+t7VuQQZ4OaeQRNPdyJvX1phh7L64Oul+MIIZm70DokcVqpYfMJhtZnu6U4Q5ZH4XWDikTpOMNRE79rIPJKDR/UoHcQdazmfTx7glfpFlbxhwgYTVycrpxIOAf60KKpEEnNy7d/q4kX1dpnH9yYjgHp1MdGJ7Af2YbQ7MzpRnlAO6ZyVf4wUwUuj8GRGoBlcF6AgQW3iAHUfzSsi3B2fCzf6ct5x038ovGt9A5OlY/jZlrXrZy4eGx1uogZsp0LSJHUqV3esmDWObJ6M52pOH+QnUMtGPZ2qS6GOUCi0Um1DQQB6mpmn94w1o7XcePoo6dZH6dos0ehV67NKFBwFTtda/S8N6GZcx3mvrnB0T7VaMnqGI2QCutCAmxRlle4qfQyNQYf4bh0VEhwmcnalwGfJ9+kMNFPgUoqu0tPTp/0LgH4zmFSDQarZ4J3unHudPpvIZSiM1ecJ6EeQGzAyIWSW87yAtpYlW61YvpHhJ0g5JJSk545e3VwvQuoze3oMYkCq10IBoRGoEUIYYOE7oHSJ+/q9iw5h/IwYDmGzlNlS5zK2c+EGzmI1eue1OBfD0OvVXb3v13oX2o0+R8ZpMnu/8fRzy1RsCO+LjUAOvQAAIABJREFU8JngvYB0BzB5Q/zmIxFHvPtJq5/GzHt1rJkyQGOxr2vgmx8ecroxW6bgrwZY6C9AycX7mqnqIY/gBUVSoAK+urp1zdUnnj5O44rpk85sT+mSGL2PAtMfVuvxiq9jVYTYwtV+1c0wbqB20+1VuXOJ43m8jysRzvWywvsrftiT+eMXYTk3+BwfgesnO/k7sgtjOo4mb9Ik4V2uKxo9ROPCJRxWhet4xR9sRl7R9vALXmWN5bmr2+bpCBI7evo6TuMw/MJNfL0Yvax1U4YBIHp8vX1VCFW4Q1d3wq9TLdBhmtkxcmcsb69YLq7X61iA8GBNYqwvGmQeQiHvSmX2Zwz2+kd9/Zb5wgZzPcIjowPfXhgZgHUsj2e8hOhG8YKciDl9tQ4ehE0K6+FJwPMwWskhV7dzuBQiq64MNdMqftkXdkj8F2PcU/9mILgnV99UJaqO+/QbvuKwijIjp6D8EpA9ErXBvWN49wegHoG7BEkdOF4x4l+XAQrMlcjfP1/KMZoTorLOoLF1+rqANoVOWkTR6JcXOjG5vAHyA2gSmXABk1PHanlXjm48+FAONW2OhnfbyncsLthHM5ayHEh0Rx1DCfLiyjZ/vS+k9E1yuppyG9gyXU/0uzAi5dzeYFMN1XvszM15mscaINQXo2vt4nPgHmtmB31aiv4hmzO0ZmeyTjisrY7TYOykLweFnDOxkNvX+N5A9X5IA7U7CC3t4PAKiYWiyVwqtbGSr03QRmR0iz19Mp2Ze7qbe3oiX5QXEHBKGScYeU1N2A2Gy6cjaVDGGTK6MJYTpD1W7/EuZNhj9JJidKjdMxby/fLLl1r2gQQxclhpHRNL98xk1blP19uVLgEZXRiTCjnQn1FkoU3HsdIRo7OcbglYqnq6JJ6O5AK7dhxy8Nqtqcfxaq9LmG5yM9H8VTdVHAYbzTqfpCZWGMvJ06GQg4rneh9AacxGP5MQEZRB/huLOKpbS1K6nvFdih/orDuVPT3m73QJIC2iktHjDXRJlSheK/b0ySBWIiiFKy2YmMvBkuBOxYWYp4ssW9eP6ojfMf7djf4OWvRVi+nzd9asKfzUE8E9umGp4f5snr4sZSIH/D4DlNQW3vWijpdXMJ/7jtEZjk8PAhUzJXDm6RZq0ZrTs6ereItjIQdSo2B0ikVllZyjni5peF8paIajZuTM5q7CY9oyFT76FE+jwVN7WedLDP18f0SLZnl9JInVLSXQ09WSZ+9A5X4Al2l/dk8/t9cBc5mvGZ3qvpvZ8J25O9wbKODO6ul5HAMlXPf0JFgQQ+jj6OFdkPqdne+BNESsmMg8IzpyE5KmGsP1/y26nGtVfU3DGRkfnwMatpxCRKWvfZQ+Z6vTsU1j0upnoi/GiwZPf8TqfX8+JUiG+veR6/XYpGWjL1lz6qcLOT6XGwaLNAI0u4skJGagWIlxqrCygX3v4+/En8RaPunRQBEP8jN4B0fhakwRvJTyYgQ+4/OYuBxoXqZu3l/hEW35CN4DdcA84qdH5q2lPXpiW79ywWyqPuRkBjE5k4NkPYqJ08MwE+aUR9i3cLwObY73te2bj4VcWri8r92Cio/f9nDEQu78AiiaLv4J70GTIwqQt6usLnBtW7ig/nyA6Ai8j50KaBe8wy4VXPcWr/WdK+WOscg4Gkxx6gVdeYnpMn2mBlsatvgCeU4QrhQguXnEL8J6xe9cq1rXHuaT0c1Qtw+E9Bn+2WAZMSbqQD0T5q2Jp/Q8EtW3vJfRuWEU50Gq4p0VI6/vLNjJNJFsD1inTnXBbbkWqN79s1zX5QxIU8B4+XGV74G0YIfFNsr4HEmRG28OokBb1ZXt00sdp7YjPnjR8B4KtivElw1PYFVv6+Vt0yNvRkdCsIbqjQzncOnB+zFLjNEHiu1liDWstyGAdpy/jiusIThw3PiDEJt4UOHyscsNy/c2rRNWK55CTbYuegV5sbD5Pd6gdImb9QGy5MPDGFatcK1+D35HRx46dnqSnBi9Vu/Y0bkAhWWSoApkuWIn/rwkCN+AoK3x8XM4Qnh6Kbini9khXISdPNmxtcnczQlMJBcbZ5rjwyBjqYEAuN3wJsEpvmby2eZlJLz0g1+aM0jZ3UE6dKwPlEnxnkYTwu8WRYgMoHF0wSo/ebqlh+mu2OwNSVm2LJvfhATTO3U9t9UqMLrX/vDH8ajNYvf0JkfAVWbUB1UhbQxS4kJ17wzpTMiI9f2C3y/6y8j4qUQ0JrPenS6pEJCkHNoo8jmNjenU6MENQHPr6iVPC4yf6PpxlMVGsBPJ+i52ZV7lvHNtek8bzetIm1Tu6aOfC0LXUzdn69FTkfQUQfEPinE4suF32JwcMzXXJVFYqwD3coJjoUXHv+fzTPlAzuEj1XJjNvf0EuAlEfXHMzmzHcdu0gQMdE9gTniF43KLVjSnF+aVoif0GJLTOUsVnX46O1Lvb/nsJJh/kw0xwuTIqm3csmKwHD16t8p6dF+qh/koRdEzsn2U9PgmwZBSXCmSuXoNFjGwB+FkgG4tlnTRjvFbR/CxojJiyOnFvbHdKTlZmxktHdv9r+gsy4+13f8KCT85nHMmLqcJ2UVhInPBnFQaaFtnVIBkoTyMa7YS4t1QyHUoLM3p5SwIJikVw8MVa3cRK3kTm3Ao6WKpFGDADWcLqJxgaE4fTlJVahbe+amak0NTbxx7+amu+/9ByrFTnsyoIDpju3BPL4f5NGFldC7SAKSQJK2XaC04twV5ehehIkNYOC/iedn4F/bwUKBcFb9Q6xELuWsHIcv87xmrd0NkZm7SuWZpTg8HnP7LnP59LPTAXKaKU8X4vJ3pJE9yAidiDCGmywfSAzp/U/AzPAZhfwSZ/h9316LbSG4EiZGG5FCGFYwkrAEbsPT/Pxm+huzqbspn310iWQmym7sA8V6r2M+qqjhfLskrJBmKvCZjsSSnbW3s2mLTtsauzRWHRYp0Jgzq9V26QLpwWH3iD3/cic+2fhNL6E1IaNucrgz1227qUh3qE9bvoctEGS4qBSGfmE1P4S5e3o5pJHNYXuqYJhbty+UyRcgfKtIh6G3yzn017UBWiNrYc5rQw3AV998MOWNae7ygobpDXKaCc5bbA78R/yuRUWzaguQxLgLprI6bFhAGrb+YNOzMhngHWwayp/jUT4edLRZBi+VBN1zZnRtKK3xV2JozD1X/nED3zkmaCxvIOfEAWuKx3iRIWNO2bcBs9+rTd+oLnb1TpEuJ9wkL+DnJM6U9y2zMLtbr58VWZ545/rfZFok7A2PYpgYqTqWUhs1DyyYkGB/ks/9J2AfsJl7OWVHKWXRW78JDXZTCGMuRPjEZkjppMzqNrbOUJ+a3mL435eR1ExJqmkbFLLmwVT0sXBDn0qAHh1KsiKOTmf/vXO3nh7FSgcbh464Sl8FzeUuOBkjL1vaa3dgR40HJ6Uhjg0NYfN6DZLiE7txtiI4cQzor4v4C0oXxFZOieCake26uLrB+V4/EcnkCHembwlMr37kOSWgTNhzOzP08bqbmHUu/ecdpbiBqBIE4uWtI92ibrDGUAemMwOSfv3xXse7ElgkFp8jFOBDV7R2kK1Av/tqJ5hI60qVlOnFy0JA+UR05pjQDLZvRBIBHF+8OpOOk6MjDyIx8M6dz2VhcuI2gTttzrkUCSN/0AO406pX5IJG+UKRPXEmsj/O46DMVHSlKMz3owQQ4iURBf+ulgRVMqkfslicbzkjDNvIn5GqCnrXpPO6kTbd9DtekgulmlSN96poziyY9Akhf1KNIKghrOkk+f/8I0nEAy1bpGtTJ1J3t2P614vpfr97F605QPmQuUw1wXXIoKw61Tn3L60olF0KgE7mFkB3I1Qzs2AZI7wEnjlx55UtyOvqpUtqiVZ92vlb1mg7BMyKdNZ9wGjuCepvO9OodCzlDvU2N9roD0qcN6Uu3XVyQmz4pOV1B+kaLr0s+S5HODTaFFqomR0DkYEHS/6+n9IdDutfMGodIt7SeE9U7E+3akrqV91Is6BOdyLULOe7QNFHXxSHSN3mjrh5nAenowEY2LjrQhyaW7mkXLs6JP4vkMkqyS5f/h5ROcjpN6pZov/OZXKvjKtKp6WJr2pqTl9an0yJhQ3r36slrX4M53QMz3Y5v36FLd3wf+aQ5vT5QXhEe8kIWXHveRU63imQoQbq5k9PJNSyOZuZlUSZy95DetKg50uPHUxtdT/p0q5Rw5P4dVy7ePXNOd5yWpRCcvMZr4226wYXLhnR0UTHaRK6x1A3dtsyLNHQgSA/TsHonQS/fuBZ05epdlwX1Kp/J/1Tp+QGrd3E2Jc09nFrskHfS1utIFFTnSFfnsF18xhC+Kknnc79+XjDmLN4S6VV/ILSg4wkFuncoM1jnvUeKL1OKfFqkj5fqKtClCrxVk3qXibUK0icS9FB3qw3pRN1fKgdCRg+Bve5NYJ6Y7/Wg9yu58pMbTY7AcUFYMaApqdH/AqQPXT7kVwDuI4lYOij+2yYYaQcpPcAdBTJcZmLiMU+gCSuQPnUtYODMtaBPOeiu79Obwruxd907qBWXtD16VqSvyMLEl0yhLFt6H2m1Axrcs5GWTUF6wNN3Q1O6inReu+NXqDbnNlh08NiC7nOUISWp7zsX3hH7CeeeeiIHYhqOYXtg8MJlQ6GYY0gnz7uS02XQcd/Sd6sT03kPSswDESIGJ7Ya9HYN65sQgdWsmZw8ffbfZDc8fE5fxYimfQHQxYIeSHadRfScN/pGXSJdBn0r5BZQHsmd+kSRvoyR3idyXe+75fTzWj4e9Z+9NoZlXAenbSZ+QfXOzgRgEOsGsnL0vFBD+jZ9t4bPYach0uksbu5SwNtkRsvpk470nFjKT5WDfvvMn/eVmJOMxAmULRvTnnisQu7bOX2vLl2arAYVXMECnplbjXL6Ztel9OkY9AVn75jO9bsZDemUXkGQ/p8/5XN7X12xDXYDhSHH+Fz8Zub7j/wj53RYG/q+XYWQ0/NRfdVGN+rbPv3LnJ6i2Z73hfh49MOZaWFGyvdz+rZuYUH/c7vmV/56vR6GImLMdlgT0f09OV0wHzSBYHYRyy4psJRjPohYvYPEVEV6j7rs0UXLplfvVOeE5PTbe/rc/vz5jPF+//y8fdzmIq8hLiKdokrAJIZW9/Q53fFTqeYT64aK0D3oaLuLSZ2MYe8hfalIb6UccfGYiSgsEtlGfbrp23QynFnXab2mqN9uH/WlH95OUDqTpjvh/XMjfc8vpnDjwnxMLCrndi02cRHbp+/GaAv1Sc3pSz+hUG08vs7pJvTr2/xFDGQM69cU9fj5iIH/eDc8pzscTaiN+gM+7z9GOpeKJf5NTsd5L+UG3nyW+iBqh+9h0KdDkz4vw5w+BbFjo4ZBiPRSYsSo32Ihn1/6zzlXcm6gDOqI7ogXB3LPW73XnC4MSXBCM6A82E5q843wYMApRXgbGzOq3pfWsqk5fZmWL3O66NPLBqBTldPfTSVc7NbX6y3WdANGE2NvKgO5b1V0Dz17h+sQ79xIlKCvW8aX7/l5Fzkdz6CJQmwbw4Lx4oxaYjynywuKANX7pudfkZ7PqLwNZTCzfsb3XbHwYCLA9HbG/XAk95g5HfXRPCLdawZO0Kn7ltMNOq+SnA7M1c1zBYVnDCG4SKRrCxftebfEMt3ili29Att3OL7zHx/v6+A77RSgw+9/Q/UuFU+7rpR+9a416wLp8LwLpNNSjkzkFuzTpSUbOZ1RXncL5tkGV6tk3RKDHru3gXAky+1y+P7k1Tt74J0DlrpM6YzahNW7wTM5nL3L5x0pjIaSVtFRV7t6D2I4w9c71VSXiAeSoUJJ6m4oDwuEVSnK9NRI7zasmtMDg7qTAgVSmQCQvk1GeyUHz3sQq1XkM81oyaZO5CCnG/q813RDWjbKaLqmpL5q9Bbg5zsN6f5bfNWHvZETdwJUjeJu9e7hTg6qd7BYaEctg0JuMVTfHySBJy4t9TOkwx44VnLxfV+/0IL23nPprV/Rp5d9kXcKvclLg1ma1TWkG6Pn9GaGqLbpU5vIzXjuzup3zOrhL+R0Fek5L6WkfpvdHTFo76V07kMuXP7OXSSnOzB6j1rM0S0bQ7qtRBOqGqkVcqEjfUGoD1S/p6B92hTO9CH8nZweSlJfv0K6c397JPd4SC+SlZpbl+NO0tzJh7JXhZd6RXodizagG3kZ2XO6IvVNLmUEU9GQeDdtK7L32XDdTqDBsmOtSZ265ypp7x/4h73/t4P4baW69YvFKzXkdG40qxHrF1uMMyhRtGZ605YjrJAHXzYmKkXt2JpPUzHfS26f2bxl78rQLf6EpmvY0bt3/OSmbXX3LB6E2v//pnrf/8+eeKF76+/98+gzGkFSr1D32z1sreg0V4/QIrjAYSTTj1OOoGvQjXk5n7OgkI2/O6T/J7s7v9TqwWg5vf3EOalfnRVyUtqiBfWAvyc287A5XTHWlo2600axvSau+w2S0+srbMhhw+gEuuu9E8HIfj+x1fB4LmWnS3V2tdm79jRnK5H4F4IxRq/eWwWSknpp2qzCavFATufSgf65c3o1mJIqmG3L5kbsJgsLl0ZtkgsXG7pMgLyXCtCnE9Jq69V3C1opb0i34ZIda4/nJP19PB1fT/7w+no5Hnf2cJ5q36AhfevU/7yvvX53TOleaOw96mr1J3dyXtchcQMzRsuqd0S6tk/vZ8kGT2f6tmWh+3T0dJjOx5MB68Xt2xJRfZz27vR6Mae3o18Px+N8ej2v5+N5d7zMhj3vzJrLXXNS3ys+m0ImlZ3BPhiB8R9QoiCRH7x6QHuAs0i5cDF1Iqeeycl9OtLTSy5Piq+G0Job0n2Sf52SIux8KQKhr+dq55H1wDnSmQdfuqgoTZuFk3euCqsoJ/+OPl2VhR4kczvQG9JXq829nnvyEQ9Gsk+nw/f6ybqv+bObMKfvznOYkrPDnBx9bfrdIUlAx3+fjDFKIWfIT7ziJJaSHSCne+568vRIJ3265vHA2Xw4gZVtOsvpNaXbgftm/NfC9um0ep+3oCfXhmTAdbJsm25jzHfH4zkGfWdy0E0MeQr7i99+Gl7I9cPtNSb12rRt6+KtlHHKCQU5KHv26l35LtPDSKezmmx3eKBUZR3pNmiqkbVhy0bqncC4MGvdFPRTsm9Nn7NVyA4x0qEH3U6H8yEC/Xw+B2Xh0kwdSNPWRAO7PTqaMXqFD/LsSAeJBS4ypZHZ2BGFHeX0JhpogyYrtsVuAQIj1w5M1fs87Q6HOSRFOa4RaWMZN/se9PgTuZfjJXlWn4IfbdnK/L00bT3ChfgUwL5Io6z+DiUKxZEI/R20pN61xfyd6r2971/cyGGfjpMZ83JJz3tK4BMTJVhiAb+zfkk5PbnpJl1/e0nODkn8fa/26da3oKf3fftTrdd0Gf/5+X7FMt79wmtYv2KHjlpKnMjJT2eGSDddM5JW71zoPxSkd4YLzOTKpi0UWfe3t8syMaQXV9fUsCfLxyn/Z6rpY/2+j7/s7yPd50lsdobwqZYv9/B/tisqSQf4Wegf8BrWswM5mtLvOrmQa1iteod9ulH0YWuTHkr1Dn36jGPY49vlZbdL0LWIdHt4fT3nn+/0dvH7Xa7fwvG4q3Ye95Hua1Jfy/7ltjGfPq/6iAYNdp86pzsnObiiele9PZRrWCYlR/t0LN+n0B2VF7pPJ+m85vTYpx+NzV35xeNEbnd8yzXeaTfHL0ZszpNZ03w52dy4vR6cgnQiBJ0PoVPU43OXXvqPxGv9KG1cf9xFffvrJnLEssnp53GWCQ2NqnftckYZzZTifYD0HPaQyrP0P4lABhO/bLBbjIwP/iUbeOySY/pizHROHr/WW3Ui196n/L4nJuua7mjSr9etjbNWVx/xv6B6906MGvvXG4eRiomP0Ibl+3TBHhbEpoz0IPt0sl3NHkzx76dfmcL7rg5tFuNDbNUW03b3h7Rz0xcuRH6k8Jxu72kiGwEeIZDHdO8JDKvKd/gVffoK2jmM6CLZi1bqyTU9jxHSyUSOuTAWpNem7b/cXdtS4zgQdcmyLMtZa+JLFbVQEJj//8ft1rXVksNQmweYTC0LCeOBHB/1/TRjenbkIB7DDfS4MlvH1el1w5QgQ/AhG6e4pBjLxGqcbrvhgf7mxlnxfJOYpnu73dCPv8mRG7y/pHNmrNsENJtPb6lGRsmWYk75vk1vbtkNTK9teq6ydXiKW1c5NVFIjqMuiMR/ihO4jhzb4uLvWYf6P/84hw5nIVzwDqY9UL/y3f+C3DtmYeuZJq4LXCznorArvtCQMj1NDHdEuZMf7yENa5q59/BxmLfDQuTdJ5nwtAuED6h7UxK75D5henDhEXU06CFcR6v+TxAwaDYb/AVx+qhrqeOx1Jw5n3Yo38M6Ti+rbC31QCNOc+8R+P3YuqEfSA90FpZlTA93WLzFONMV39rjziscWyeFF+fcvby/Jarzftifrxi5FmP3RD1w1GdMpwGbvsP07r73XipRNHPvU/DeD4i+BVEJN5TpZFNTWun7Z0yPaQbw3p5v6dcEqr+/Pd9u3o0fx2qDS8xe/0ymhwqbbilR0NH8+0zXZzY90FvVqfdiM9sk6tw7Ff8W87Jc/D9iUmnVNDrf08yqusN0vt7BQ1/UVzFwW3WoxlQLiMcvF12+3YLdSr6eKEaOdwQJWAZWV6inFrmy8b0kujljOrXp4L3/WmyospmC6WUPfGK6Mp8znayQJNvZvFaecoNLvtpO3yWqDfuj4/T1pEOE6W80h1fJqIPmfe95t0M8cBsCJLVMKN2qHIGf7dOTT8KkkK0tOhMmK0zW+GdMN0X2XZ8t3oS3Qo2B6rKqOudA98fadJaBKJpm2oPKRSmda86cM52rSwnTVJeqO2dEv+/z7h4XIVqbF8mMiyN62uxQgu6r63mgXifJSD7VhJJTzo2PVK92evx4xUj2uxS93/rOpDKdTtex5V39iU3nfhxVgU64J67vdlMd3iMd37VqGprvieZJ5L/NdJ3qLs1J5TFQ/Xkdx1rfX38lKffdmL7WFj3jXraF8mbYSjCyEJ0hbe90ISJf20O3sVB1qSIPuy9HsBtlC3QsqRfTbJ7qaYpKneXeVZIFZlmn/Mu7Isw75ToRW/ypmjMhMVOPsLE1q43VDsEm6pOZ1RS7Rb13U2vDhmq6MLG1me5lKzb39PaJNUbmZR6CXDbugSskgUtHrtyqrM+YHn7pkKK9xfdWrpKqtfxMpidtLM1bYvlG5ToFnzsomtPpXRYUyxsYu1aYbsgq7akUIIk9cvZXdOSUEHeV5GigHhe9FkzvuPfON2kXbmtEPQiLPj8/Dwhh6Cr6oTZdr1q3yuq5b6REXJFaes5tnDM9iPy3MDdk+U7ewJjEv6kndzlseGATxUS297SkhlLQxpjub0vDvXfVLieN6YR3KdpnJyzqcnTyy1T/npozDRklWlVtUP0TpquuEAmtURe57d2Ue9mKHV2xjUJreB298pZNZ46cKuUDE9NVZ3higclAqzDcRO91j/rLy0vSE5ZflqT41upSdKFypcfAY7bKqDO5SMb05lo2qklAlSgKpsMn3Qxcn6d9z4n6TPSOb1WmRCdMDzjhz6nLLbsNAfD8q69YavfSoi/v7zEz+xcwvd7UNDY305W7+Nj+9I4MMKosHWjObXoRpddMT66c3haw6TjQEI/3c6q7cktO+3dZPPA6XvFRzN/xLS5KV4Nsrq3i/f3t+RmNeijCfA12+c0hLyV19Ik6bPJ77wjDUu8978ZrrO0pbXqh8h8+YPfjBvYcQ7fCkTOt9AxjOtoZBP3jN/z5+Pj9mq0S6+ZuLdIOZL/dwjIQ30j50+vpK1+onEps9R7x+3KRHZtpoi0srWq6IGvZSh25aRhooI5VthFBDz1yLBFbAk+7b6MQNCpR/Po3PD5efXo9mCe2lKa8xXNII/35t/q2GleR+XIK/lvY9DLDxIJ0dsw3FIbKkktexZa3KmeRLyYzJBCRUoaCTq0Oee/mEHrkNICuZ2C6qSSHat1IuqSLMN09PgD1boxZ2LG9n4t5NBla6dpq3DqYef3meMvP4dderiYP8tRyalxgpiytVqd7KqZnZbEG101ex0OZPhF92OFi3fE+H1hwEdSXE7ndji5hJPOS7ufyNv16lddrQB1/WyXh9dYWF81+e1qDWoNb9/K2Pv7Ulpj+aT5/+le601fU56EafBCD8ngboh94WnChow6nDXJJLjIqA1eROgedMd19AKovy5NdluNiRNrrYSpxsY5U2ognF5MzeKOO11c84Z1L9/oKzL+298iyhGTuiMQQzgVw77eHgy71vO9DCbvDu59PzIjsj0v7x5Dz0cvPgjUJB6idMQZdL/5C7SWUOeuuy/3zqmS6ISU2frrTHor7TI/Dq7uTltn6shZrmnU2U9R3ok0Pq7SVvv4G1NGl+3Am/lWOTGusYdXJ8IdCr+727Lpq5BfVoD+jee9/S0mIrS89vHBY0wRQrvvTvrZfQUWOO+U191HuT3Yb4NeQcl92WQgCt2y6zimt3B9Hu967vDypsumc6YIznTZM4Q1gpgsm3qesOjOZto4glXwvbDrm3tGbl4h6fvxGA39HJFSzzQ4a3iDixetH8twu22W3T9sq/QOeU/YA47xv2h/+0n8IpgD+i6CHZ2X4Njk60KWMZ4Ukd5LOT9rF2RNgugN9lCPNRteIF31SurbpNdO7VsjWYPpUDSvDc3jDxJV8E2U6292TxCJTkiDa9Ng541D/QL/u9fXj33S+q0roX9caaynmSaX2BxJ9XwDuFYAQiJAwiOpkrfGIyrETHXzWGYQW/j/B7RdBl36/HuKHryjpmS6jPyelEcQzkGqAq2tprB1xQd3omS5HRVKyzfFFynRdz7dkpyrZdJo9ywMuTaZPJdOphGQlGCqKcC00vxvivhu6axVRxwe+gQD/x1U24nSulFmMNOF7FxvoHgj6elgUkfI/AAAgAElEQVSBFJ2fNnUc2OnfS9cztK/bIXf31IYWwF4AMCeg1sXjXV7sjrfAMcvBvaIQdH3gk5uVUmyosxaPA4iBwT+axgte/TAyMr3bwMBXFk6RLKwumd6piulJtrFKx4kiNRP3dFCms4YpsogxN8SmhBzhecV0Fz1QJQr05rT2gTd6dWjUdXunh66lgWOcmxvoHge6PRRyUiyHAEx2QEaoHbCa8BTewPruxxN8uS2AIgQy4OdsAXS4CRYLbtkB94MNr2zL3C3oH9hldd9uHZfxYd3VD7z6ss/Oe0emw420KZ6WU4zo/HjvyCMDTYLmAveyRHqH6VPSnzBpnfZEsrCCNEbS/SF5sXJZT+9UaqeQeL470FU7K3e2RF2PfjHEA5NtCLq/owAOa7sVAN1WZ9MBM4miWeu4LBMiKIDD6wqHczre4fV57e0hJ3xlgk/gLygH+rGsF/wELuptwO6exgsquIJf0YZz3ZvdmpqBiuRgabe7LseUO5WzcLme3hQTi3KRRTdswXR04ufNP+Yu3SN5sIls2C2ZHnJynOk5oSSv3qjzLepjTfVittP3V6Q662NMOoA+BtAnhHpVy7EKpL8D3V4AMgQJ4LqsCt6RY7HZkZvgm1GJQYvwCoIOkcCITN/cQPey+CV8xzKBPR/g3+jgetGPX3BSUJ72weq8hvpzpuc4PeIuqnLLRKtsQ6X+PUzbsqRuWC4cSQ94lRAn57sqW6Ap6t6oj7rapt1oDaQJzEz1xzN97Rzo4JABxAx0jWSFg/sCXzqlTJlDNoDyAC9g3Bb3yhpAl/CCAx3/OHcELosBoIEvEXQdmI7mXcs6bqWCgfXm9AbTy4xcSx90SllYwnQmCjzMgHbF9CxHIUyj9z1PTCqqAm086uGnHtGRfx3vhGuku4BFbkFZ9oFU99E4OnKT3UY8zDnTFYIOHO6H5egdZBn0ecHjWaKQoiLH++hAx2ER7fz0Ea8m4ACITNcxYj829+1tcX9F2glPlqeTIouhC1y4mFgaZJsE7YZlTAfX8wjBQTrbG/F5zA14lme/UjXkRyKiEjy53/woY2uZWoOq+A23RHX9kEIa+lLriiZ7QEBWRB9BDzYdQF+R6RiBD4j1OlCmY6gHpzuQegab7o93bQ+43uJsOlxZ9P4f2t1XaNM7DNn8nYCOnF1myaovpwrgTB82DToUR30Ew5gG5b2B7tKcA3HhfDcs9saZ0zp6l1dCecBJbded6Gegg//+4dIzxUwHn/A66XwNVP8kN96shPA/OTkzu+RMvzzBZ8tigNvLbpz3HpjubHovAGD4Tsr0df9lIRafFzu7VzBOP8A5P3557x219fzPqeGfuDhV3cB08FDcHXexdpBj0T+l/wT32PuukjCrKsI3pu6fuqbw/2c2fYIfptc+ps/LHkrVd7iSioucXa9OFrRS7anVYNQ/QqROp1tau7rofLp/Q6Tf/OPgx3L7/6e6S8Oia91bN46/S2Qg8PIADI8eb4sDc222X7EaYQGyGcgZ/za6baPc3CuH3u28url+vFFc8I4W3/3gg/VfSXUc4dxCOV2I8+ESJ2s8KoGhcnM66Y8zkdpc3D8mUk1qm0k6clwqFB79AUFqsOlTuXtz6rQOgv6Tv3M6Nc2T9gYmqpQmRy6UgpJErM/OXSVdp9vuJCiV3l3fFbpyL7cVy63YWQPA/99DXs/bPkhUyTouO8TnzlZvvRwu49RjbqFH3KYLmPl+2zt4uptNdAl0L9wxAtcw4qL/I+5KlNvWdShHokiKcq2xlmnmOmPHL///j5cAN4CkMtl8n9rUW5w6grAfHNhJuO/ftn44uWvHbOtkZCrBbu574FF/Cr+QtJN7t5r6o2YLhcZxrBRBwlqq3a1Bh44xf4Pgs6Yzov+Rz7LRxqq7APptnzdASG0eLzuJDZybNzUxf6BC52RyoOr/vN+CYLXWB0uWTUWv6As0zqt76CR02X9erPHAehA63PMI9UUaLLNHP+ILS1AzT0+zBqxcFhlfkUssulPIvoFHeEfK5MtkLFmZ9u70QtGjgY+ky4pl6ZHcXxBv3pXlOCCiGNkOl1CjCU22dQua3rHijAUSqRcnTyuMz0V35wqBDniy29Ypcajp6XrVscOOfDNSNDQ9rWFkC+bBvnvIHPyLaNnHj4EVQUA9xOHyYzDEYRxBm3T5frhn6h/KHJo+2qxbjKa7MPY6cfRzFrQ4Zg2kY2wj0XSCfI8IaGGndV+3k+hIHRbjfxedQPHQ/XwXtCjw7BCVrhDm7J2ohK6o1FOu7qT+foFS/O39/SK1OVJ1Q1YVonKgV78Cgup6vT9+ry7rzOxz8ZCaE+k0wDK6Inln6DhzfbzeB5IhhW66zStWy4yNl2BDRW6kgRydYhyFj3Cc1e5ixyW4hK4/2Q2F3u3nSVn3YYEe1n05ox9KsZWmC8If6HEVYOIvF8BSBQffduolOTrSj72C4AE1d32NxBXPBb3Jn/xQUyN5awTsUdyeNQV3Ujuh51lVpfKydCGa9M/8QD3PQq+mGDsI5Dan0mcM5LKBh1ugFgShzy/7vK+DcRErkBLNa44qmKaH8WXinbQAqQdQxT+FrrPtylRLcNZtuSMvFRLQuQzu/vZ84KssPPmngVWf03QGg6XQUUXbLbD+5nE1BRCWhHGZ4ItNOSR2/+DRR+bTo5EPEOj55N6ORZpcwAtv9pqugK0CGoadgkBuxYwzMc9kTaeKnqJQDY0XAMq+396p1NnIbq7J5S8EU/z56ycc4Ty8PV3m2gxCH+cJg/0EGLbSdBq9HMJhSdFdLG/QWSZLD3MNVtExZWFbMk/BOBP6mMXuK3KrxuLNPFvbcU3vonlf922A9qExwzQ4Vw+MkdHIVJrOmGcganWO/f3mpB1SuCYsVDOcpIdJAv1YEPXv4yra2Dfgt17bqEfZxQLMVzS9il44TJjwfSd19+zZacNigrwnWqkaJmV5ruZFPtbRexhzAQMuQPineVY2NeXim1HoUGIHLujzDn4dSP4RZBBAFcyn01AuEZDA9AvaRkzhvNRVFdMWmo5gisdfj4sFnOx/IvTzKmfYUdWy7cN5l/JgntY0NL2VqJgPtzmYaN1fryZt1STzTHTQRLCFDlzJm5qeZY7sUj18KqD3tjxpi+YdYbeQwe2j+4ir390D5O8YT2ZgZJ6+4cOrgCRINbqAoVIliqLUdMyJ7xEW67d4yh+G1p8S+tAbCbn2EnLxmIMvIPRlkenp/Gp8mmt6sb+jsbglEnYYCnf3u4kTQs7fKaquuGO3RrwHAz+G4J0Gckzsg8VAbsOle2UR1lfmrdp2J2GgDO4EjD8FvnfNNJ1NYnBNT9mI9+/vA7/wKRELc45mGaYlgml+J5IznxE6aPW6btAuE9u6eoi0hNbZyT0toIvmnj5JOZ76dR2khKeVrDSdMcEeaboqqWZ8WzlOLvp4npVmPFCuBaGwNE/n5n0kLt1dFMOaUrb4lqTpAoUOa/kmSO2cSe92IPlfFbQKmU+nMhclH4UKTWONpdmIl9R8hJMPeuJpW3ID5o4IWSmfmbGB0Jd9Fs63w/qqE6Dl3B0PuoGqOjy9W3x5du5/hScmueF3D7Ly6fzSPtjbUoylBwBJHlcVZHMHYQFpNllInWWszXuUOmTwdnLX7daLjtVm/JHy9BkWvZyUGN01fYKsbT4ZQcuwrPPLNT0ZMSd1nS18hZ0i56u4DWRUftRRymf69GU+CzPPvXYmbXGPjdix7yKX0QUynXKP3MuTHud5XF/maTAuyOlhR4IsgznNyaQO9u8pio8zwbobat0Jq1C1jq2jibrtckRWCj0D5VwUjmVYpBSbop4T9My0T9BUG2Af2z51OCXnDL2T+eZbbarS9NwYimOMJrdcQdeT1Cs8hdbF7iaTLT3UYx+P+x1ZSp40tRqEbtzN0I/zeTid99GZ+N5r+hlQFs63OU3oe1hBuiKefYWH/XxWUpe1BnM8nEzCdtZBD7E7536O4Ofs0wvSwII1MFRniNAzWSgUWmFvDxwveZaN1WLxMlJ2OPVjHm0a+iEkjKWmh76LoOY9j+fh3neu61rTeo2uFjzEQfZr3ALz+nhamSYIXW4vaMgBOeVM3BbGHJxPlyj0NbzshA42ID4cZanpNezXHAyyJU0PsbvghXeR9by07iKMFo+WC31sFGd87D6tkwtF1t39QbgU2ntLFqkHdrJwxfnrK8/QMkqxzIhTkkFzigJq4XF+YBCa4GrKzrqOkdz1/nj43stT5hup0J3ugsfbxKI3l6fsykfv2HAHobuX4XWBQkcINJw+pQtN/0jRFdmka0g71WP+84LLVI4jDdWmR7dhQ1PcqNwK5Mbk00dfB7LDkCabbOHeKVdommWMC53LlM1XZwwdwyO/Hlr4W5Y6NGJufJK1oBPMZVlPQcWIyJ4idI3YKsjDBheiK2/EiaZv5wleBVQUCB1wF/DYFBiwFrm7LmI4kq6FhM0LnSq6DUaddFtaHTbYtpk1PRRn+rIKC4LvxLRvApE1+96luD28M3bl2eiqzaD3ptC93A3N01XC/uGX9F0YIaHnfAN4jdZHmp7TOIjmkHwMpQ7hnPxtGoogdNWdZyfECdaGnxbcRuZ9+o5om208z2pZuk2B0I17E14MWxm9V4PZ7UEmujlbeBjBUtbdo8hFc1i1Gm1pmPeRTS1D9g0PAddlUwxHgdB5qi1reqoPsS4baakbxizGCSR1lHq4E5B0hvfbyEoEov9S+n1f12WRdHDwV6N3p8LQVd6Xk7t1GW0vU0UO8W4wEbPOuzfvEN7v0INeiuj9eI2DyrUZjqAQ2Fq8FlWPDJtoYmaKHlsO3kufHjGSK+AkPHDmZVce9T7SYp6lMmdCj/xiXOiCA2iM4Rv6AtuQF/btgjdwz50UJYww8JclPWXBRvopduQpwQTuV4Xer06igLGA1HtVEjJyzNf9lBoMrJ3W3r+893JbEevod00rSRprusrMP1J0w2J3KMeVFMBxe7ao4XEh7BoJ+Dn59H4oDpS6S75eIAeHTz2IPMM4MubIQtMtmZ7kIAqm7IIK3RAacAUKC2YdCUve4d4NqtpoDjQbYDYluQOWbDzpICRwd56//bhgFzBOzpMPHRZYzTAmcxJ2gYO1MQOwW4bt4FJ2gwgArIDvNRUSrKHnlGvGeD0BK3ZdKE1kypKa/bXUbskzDlHix5o+AAu0Dw2MDRn62JG+i62tO+McrzU9oiOZTzfUmMGTMnZcbxeNUo/HduF4eKMZcY9HtnnknGcq+dX8LeHfEvyNuJD4io4T7jqipPBJTbvm5RoHXW1PNsTrRQI53Fv3pinDu6DOlGs62aqbqN6TppeBHNF04HufTsgHvJ0IL0F0DJydIP5vhDCUQaAFBXsw857sWLrcfQwPADqJrCXpgDZcRcRGwzsALmIC90Bu0fvbM7pvsl38kZ+oCfHNHaWmc5BUUHkXNQ5x5/zdxe6lec9V9+DajwvvEUBxqOnwT3fa4yybCjPLJJDjK9qy0JNTp0IXRa5uaqETXQdMzfsFU/WCv0LqehmEYfT/EvM3YCp5Rcys/v8djNSUVVx1SarUWJbu7R9stLoupO6ez6PNw8KEdKYl81iDtV3bvLPEbX+ZZ/h73kxmJhjZoHrXtcy7Fdy8s8kbIbim57WxWdfF5RLqNZdk3b2DLzZympKLz8OUFw+e+77Uvx78y4OunSl4hqL0FcvfWnuzYbHRW6jIeOu+iMwMqQg7a4QlVpRSJSayy5reVyBoBEa6VK1f523c/aLdMSk6ZSdoCL0szhQDdxwLzTawJqy3zum5jAea+ku9vowmbmGqAPMoJBcFqX/Ds0Pr/LsKvtDaUanp8Y/s1m3UrQ1shi48cRHKH8zOPWrA0FPIEmSu6V1t3CP4+WNNd0mbE3YkD4xXiC2E3hWBHGMHbml6bq9Wa6dY2JpT9wgo9b1XoC+RkRJokUXLMjNNAuHg9fV7ddlFTvtqvrWhpSRBKicwo54Dq40v3bc2c4UihkZrhZtJfeyuAoOYKAZbQkFO2Zam24bMC6EnTR8QI7dFmtBIRVL0WA+idySdYUwUfO0zFOaMOqAINgdsNDgBdwOd9xzDcEA+RxnT6dRjnIr4ovTkIqCq/i2h1xjnAiVnkqbDvNs+SVmOtCQaAh+8/UUK7Dfoqgahx5yXyTzZWF6YKceZSPRehu+hpQ6EwNO8987M225MWVvBTeAFLzilnC1aqxmenxI3w807YQNXvGaRW1Iw4Yy0o4Fl+H8eQktPJueievM7PL/ioN1VtOFSYfNll758MrbDj2lxBb0Tu6KTLmTJpvA947unwPaxu8kYWGUJ0j3BnoU48ugjc+le0/sCGwnqDtxIEwbwm8gsU7wSGz2I4NTAQrAuG2EnT1kb3Q6dCxENBc+npIjlYzKfJ5HLEGrJ1fjlU1uepIaiFIK6lfnGoT486A6jcfaJkTPyQ5GpwamBOlOISbDmfv8TY3eVCd7zlHjmbKwYKJJLD8PH40GeHgce+n95uxLluI0c2sWj2SRHZIlDRq7M1BzS///jNoA+AHTTqc2Wd+RYiuLIlkHcD+/t13a+wh+L+3l1/G4Uj6BcuLBWPR2xC8VYPn+3mio4VbkImf4OFMNASJcuo3zI91/389NETsZ4Ppjmsrfb7R8r+a6z8xGMcRzH9Y/+WCO3C8hWW/GdQ5CKf/LAveFr+NkxUn9m8omF96ouV6NQM/GsqS2SOjIHXnyJ2e97zx6RUdJMRSYSI4lIxC0bKT1YgZnSsl1pGnvm8BTCu5zLqaD/plsJeP31Q5yz/KggWh102cH23e9tPkdT0KH6H32x38CbneG+xZ4Y1adv94+Pr3jNFFFSqU/inl6Gdw5jHs8KORbi4Tb1GNtjOfqUCwTdEPvCpsb4nzx9YiQZsRhxWrfLVaU4lQBph4JdCDJGd1YB//vB7hy7ZPWPIATz26Ku669r1SZ/0ujh52z0iSaKhAh5wV/SFJeHiW3EWsbmVe7XeMOWBjNNKMsSiKKtJHX/wWX9dcw93K9c45ZtZEN4LrLMjZ7n78nTmSyoWrswijQnazlb8/RCrpECfpjS/gVMNp0soqlzAyTVG4E123k6TzZf/w9GX/Nvsl7nnNqSdI1/RF+DYwu2AJ/gns7h7ka2zpNWYsteHj29LQBTOJw5AgP4YRrm6GNTGF2i8aKvZ0+3k7XK7Kp6PxfpG2oka+mq0Qf8x+cjBH1ezkfSGrA66rLf0Oq/CfHS0yHz/sm3Ncf2hn236NV3hHluMfcRytsJGTbesJUCHo3w9FiKkd821fAecjr06RaooKFPb3JS56PY3KsbRS8mczpygfOkLgT6NHau6uppGS2oiSIjL6V4pKcTRxEQDDYC1mCU/EpWL/u4zrXZ7EfDFWz/+XVSsJv6mzFj2GsIk9MyDQDdr21j9y3+s8/NVizOVS+5GRpJEjlqR++pT2+LnA4eDmxidl5W0+SELrYuNaNXPB1BurKUc+ywjUkzio2bkFdXNwL86DfIG8J27qEw5oihC5iqV17CJJJvdY7cRLMfrtvyCPhfv84JEA6K7A27y3cxkg+BDT90cBD0Q+1eg8BqP29Uk84q9+S7poqhgHfrL4BtA9uW5eU74xw6MbrO6bGS4xtWl2GSSrqgsl9Ojq6PXsShSKAf5Ywl/OqRTpzxBgqiAmQCPZf3VaJBZQOf0f77hUuFsszV39zQAK80wWuC1OiGPo1AOMdm8GFATRZO2IkkpcG1rCuenm4WJ+bpfSjkait1u4en/trH4NCk8n3Mj9JUlfHhRk9CccLTVfkuv0lJdD+kKY0W/BgGRkGVOMUzkUH+a+5I680XSLHX+yw8EQf6Dpr1/9roJ3sdDpxgP7zRV7h5S0tl343fNkrp/n0ubDMxKL8Yybyg1ROHOtVMovT2VjfV0Qz+issV2CV8n96PuXrnnp6+tuKRNNrTAwW8vm+SVOaZX0XN4Aee0lntrtctMKd9lMNw/Oezx8msb9hvDvhuiP2iq1FOdMD7a/8dwEJ7ugDKMHyc2Wfbse90u0G5HpgR89FqJJKyHCWVTxbjTTrHM6hFeqbwTsG6j7P3Yio3t/2lbS/+1bb9mNu1chSb1Pk4G/iUmSiyFKeVNjdF+e7yaK4UeBlUzy4u2whygUyULKHmbSuFc1pRIsnNT6Cyq9vdjO5f7FpUCE9CTIwTryAgiI7+/AqD9nfo1Eoq2MkwrcWJWVyoOMgenRPNkAH7s9XqCAC5OakqIzkBT+rK6FV+YFOEdyt3bUWnbp2zaghvazN4QUrD1yxYv0P/9kDsxWfcXA6R6mIYvCstOMX7xE89upCLB0El9g8rmpNMXYHNbJo+5+SKybv4xweMDpE2yQXq10TzbQUekt8sKkFdoxgDc7vGxnEspwsoxbgfuzQ669TLQWxTFedTnm7kYl3wUkid7cp6VcgPD9x1mJd1XcTU/Y07OJKPGGgrS0l8BKMD5UnXJat3Ab34v16y1yo2iX7Mni6jGCE+8AekdL6WsJHMYUqensO7HsYZtWDLJ4ssUp8BI8d23/veR/YLxvd+5P+LXq8iMcWkNT7YfXr8Q8aMhPaP+jOUtgRtMKNWysj/QZNGy8UrQd/JuGwq24WR/Q+C6L+9ey9fX8dMMq6T/+y6BznXvIU7rcjYkYXUmyglvnWjkYhUJFOciO7ezcHbb6l6M8LT44BLTuNqAspTtUePlkefNm3p6gh/no896LeI2C57dZ4/ZIDn+/SkBJoTlOAd4uI0jh8/1GU5mdtLAUMgogxbuMcjODK8QD8kEJgtdNiM0PjnfVnezxscOd9eW2ALOfFtwWVXcsQpDqG6pw9DLaE7Zwj3iOCo9ytfLRqe0/lgJi3TtVC6YYEdQe+cXUiMYcnafPoOgxnUWiXUOt+3jAWMYmr0Yds0qeFMvKHOkmJ5YCXg0Fl7Tq9ZzzzdiesmhNWEMo70/1D0EUmnKQoc8bCZwPHxHeKqAE6JsxtXBnEnrL4NYc7HrV1kAO3pBdg91+5vAkX5Om6LQsTZ0OVpsuCNqwq2sF0Lm8A2pNOCFy6tCvHjBQg1fsFWGV674c9KLAbFybJw9SD8mY8dQmVnWTUXESB6GhuB/lVfHwSLqpB0Ctgz/gqbV1R9/Okw9n//9E84ayYNT7R3eP9+4ZT+/mZUVYn3wNGVJNjZh2J6Q6D1a+PTn+zog3pOtaerB5h4L5ELk0YzgU8mUrrz9Rq5kGVXi1IUsWEaypPYo6uFCxd2oC4dBjPxli2gYfPlakn7z2aBiXJeHDtYPZ52Jfe/3qE5RaoouAnkqJWbacOaGWozOoKklhzLuZ+HGdBWEM9v+Hovy/okhlnacL2fM8b4kOpxu41M4/jLn/h60z0FLelrgDgMGV3tOmqQsHdLxKc4iIMP5pmRPUtyKceFtMU1wcTuHRpNIqeIQslvNQSa3jXtfF2OnV6Xkcf3ULqZcMeID+VE8nsT7x04u1TSCOSennVoVAWfT51+r3MgQvwg6vqweX38YIp/fMrz1i5Wb1tnIAnMRDFM5TNk13Tyjga+v5/t/EzBQbxYZMjF5YYh40XamhzAp9vOSCGEDx3w4TMagqyabROXFNunWo5J5J4evZwtXUa1cDkZzozj1O6zJcEGofIRcnoLIqz+S172697CFbt/34sJfMPv09MZBL/Gyt+UdH/HZjUVC4tbEaHkpY6ZQQyTUDbBJB1Dy7qwnENkNfLW+IR6HAtt3+NtVHj5RAefh5c355tOJOGJ+IrXU11S5KBpL3wViP5noSwM3OEoN6xZNpuA76niZXUvBfyAimJj9+KSaRIoqUls2HpWyLVUyTHLz9f9cg273ytW8T1v1IF7YwfEDM7nj9niqvA6TvzSqTQ6jpFsPsGzvIh3PJI5Npmry3PKK29GWcDns2kgmhidBEcrlX7Qub0BXrOs3/Dh/SsdQXoD++/Lf2JZwKlvt1d+QaAIqCbKAz39saA0+PqABwb+S7E14o3a7Ym8WMQ34OQUToXwWLsn0HNettSl9wQPAZ/M9Dh7b0tXJ6KhRdyy5Zk8Krb9uppxAvLn/VgOA0KVxzo312t09+zpedkfRbZtxE9ZTjilCGkUekqLjKtFqxP0PUn7Rz4hwyDbaxrpgNXBwRfM/jtJtb+JsGq+fv+9UtwHugOfdi0WDAhYH8L11Jvy/JPKOvRz/4AA5ukduwGVyeFbwyRAvFgU3Zl0h2Geoa5U08aldshU3CzKZUvS5zHR4sLs8z63QdcBlB2kp/fg/svVNBOwwgJ73Az0KzuS/I81T5/4IMmyNatiCbaZWI5j4W1dh1f+7NxQKEHwzlpM6nkDBlZfl/tCkGqf8pHRuoeM75D6qIfB+Ndy7TpJ5eywYks54A7E8xTb369wNX1/AjOGU8SQ9Fxvt9Qxft1fA3Nzl9r0Yv7K6EbKNj0ppU/c4hwBM0Yu/+TnfDwD9h38V3bGuob+vWdDe2CMNGbEIO9DOxCnAQULOHvAT3FPT1DdLDxiufyMZCYRu3VbIdYbtMNLiofqLbPI9dLhMcIvOJL/JL4BPJZEBBbSWAIeFfL6Z1ecx3cxgUM4B+bKaHNc3z/vEaLFdRtCkYpRPRYOb2b03KrZ8jQ5LtfMNBVXTCq8s+aczJ6UshE50xadOpi5vR5A573u2eR9unkATzf9ulymxviP5yWQ/Oc58LmnG7UhxofbSKk5hY61Z7OZCkl4laREsNA5GeHR6iu6OeV56vCxwccF7Ov54dP696NjTWQEa22YmqHSR1hOtDnoSmF2xwJ/Gziw08JOxVDN/gJJkvu7ktKNkZuKLJ08cYWe8+ieaUEFVGpMY9jg6C1HURy/Fh+2QUrcjFm5K5Tv6OnturT+N4IHAEm/1/WSW/eGbdlySzlN8uKFH72I/Tq/ZLXupIp3hQKEcmdXc3en3B2tTmcTYXEDJ7Jhfg/ODzF8ISGC4loycFuRyMiN8jnaHP9LcvaBcUz4h6GPHP+3uSAAACAASURBVGFbLAKLZapiUmYUBHYq5bKr9L8M7N7k2E4TuZqjwyh2mdsDGPESGjaXcmh0i0Zv6OOLL/eB5H9P5Tsfw+YxwpRDvAAVyiWy06dOQ/WucVDEulyVV/wsE7tgEieiQrigCFBKKukDrvqBfbd3ygOpUCDkW9ElxLocABq+TQs2j5MknPJBqUdDHKDOgcfjDvM3GsNl0D8X2+OhXS5aGBbyxNGnkkKMmzwUcm2EvnMEPJ4q+8IMlB1o997zSewewnsbQr3P/vOK1zpHrN9F9S556Cue7nQ6F3g5eybHq7q2NAZlnZtWhhDu7tglFLt19mbHtwCA2Z7vZ7ir+P55dFx3IA9rfY7+IJuzZmGLZoeJD7SQocC7RWI4rrcXG9h0FpI4FzPSuUDACrQaB0+Mul3Lfmt67urM4QH3DjDoeVlzud/HsVw0OlCIwq9qzOgz+goN3O60p0eREV7AV84fFEZSDGiG3/XrxRZD1/Bi8S5iO+f64jdRAtAKu8/9k6b4UW4mYevT2HCLsZ2XmBavZ984q8E+/0YnNz6bhzGcVUcA/+HsWnTbSHJgo6V+TEuw4EhaGAmg3Yv//x9v+kWy2Bxt7oy1ndhrwzGH72IVA6UFlz94ejSg7qzOVEA/WS7FSX2NjL5M5a63r711uVyeXdZjfs0I8NXopbFUVP7vR/S5EqNWpZOPe+o/wqGnF/R0dfGisZLG/llP5izizWR6uuKRlhwWGXkJx2MxZGBj8Lnu616vv37+fJ3PidYAfCpd43av4WSDEdsn/h4DvUGB1GY6/+lcr8tOwlFOF5foxCsTi7ld49odUFJ830CleLXt3KefVClX4/verp7uu+G5T5+eHqrRaza/Xetg5uT8ngUqyf9e0T0ShvfJLVciX2NE5KGBWTPdsUo+mmSzFaRsuLraZpuevsZ7UPzLCgLzI88Duban/cFbM/4JIm9m9fp0xPjRlv/qjKZtDKdbVVJDEAwOToorrtAJz/RhRc9l9JXDbNlOwurQs/nL47K79P0yHTyonL6/3yv8W9Pq8eH+KHUjWxn/jZwOucip6xGtz7jCom0AVdLrViCKR2ofTOeKVzgvf0KtIJJ97nC77/OZadtlMG88gkqYZWgR/POrz+3a8nbk/79/IAFPnnBnGF3JYkgepK/E7kwNyoeqso4b1VwYRhfwGark3OkygFNLo964wftwroKk28x9N3y5PG+N/F8bfTLcyZOcxdNdlEzRjJgDVPQbV0eRVq3/Iv1Y5vY347qcVBOYBySr0lxlPQ0W8/0VKOFq1/5jDO1zX6xNcY4ICzXJ0RNJQhc449yyaCFAgzpJZxxs4Jw+w7vVtPnHrWX0j+dVWjzAjq5kH0oshIjd/5a9NrqR1J1ZyTlj3y6hNIe7d4Wr4OOInDSVsFm865MYPbqTRUFFX7b9fGbiUpwOJmOMVMWJzkOgmSkgz9lpnWzElAHouTgppytsvjHvRCm6RfeLp7fwbjp6CLev57WvVqIq47j5q5v1QUznJ8nYxMZCn66f1BzxZp2Hcxo1IFZuh4ZflAwTPgwZ9zLatFjeabvD1JYIjzCeZLhlWaMQsdvO8FVa1ZdgfS5zOCjoCtoJZ1bu8mx889bVIpdkYYZ3YxBbeeTCZXf2Sv3tZYxA4BSxEQo6Qb/kdOL+n49Anu0niMUWh40bqlVpRLwz9qwiv8rfvArYWulNr2VXTxf3zw1o/VowEWBu1txDGiFeKcR/fv3CdbI8YFJLdKAOs6RaJmDCTe8mmIzHDn2sVqvFA9Vy5OtbpxS7V0qx3qcHTOyCUNAjKKcVkTSGFUTwIiXlSKOmKEdPhSxOqm1ZIRHonDnqXj1lzbybLEaLlNfljBHJVX3PX87i79mAP+4fqfw3n/IUKwqxtVmdZlY8INlk4F8rPHFfWCesMq4bHSna1zJuevrpZGX1qrm2d+ClImPferr3mzS6Rs4UbisFNU7UIwgnsL5LGZ81bbDEVGVb4GztnMQMJul4nPgwVpE0p6Sr+baQqVZPZxcWiGsThK8wrU+Xk/mkRq3F1HWLtKfT/NXhbcObfWopXjHGLQG+7VV6eA8n6eszp1dQTKMf2Vhhm5p1LykKynLQSMcORYCluFmPNJkTQ0dEjUD/Kg9a49vUrq5g8HhMAy7ZtXNWRyoaCS1j9+dYvu7mfSm0+xSLbgNb16jfIzymSnpLsI0pOtWxT+Xrbzu2c49eBNpZb9dkGTc8HR19xPcKiXnsPdnzBEV/gBXrBkYXNGPs6XPbD43mGDkArpt4GlZYhUFOcsRKpBp5jbYAsHxe53qYBtJKgjC8eUgRkFYoE1tWqOXvdhhbzY6kWTxzOCStYM7f6ATrADKNrHTPcpeuB7BB5PQwc/rpZDj6/vnT3oBfL5sPcnILEX4jyn/gD1XhvRDZGQ3mLE+nsZyzPJ1cJq6cBfYdTM76DSCn9M04jFtUZaBL8h8Er66MVvIxa+c048SiFXzMd0vMEvp6L2J7Dt3aXLNYt2tqzwLEE35TyDgezaicDrgpv12q/OL+n27v+3tJUFA0z5gvaHQnycaiIEJb1kp2w55NggoNpzG8PmF5J+/bs+as0ICLlNYJYGYiw644gq7emW/aCfTnFA2OSlZRbpT6PQu0aoWPvqgALuIUXUkyFUneKdQ32NOFzQJV7+EEU7lp84GM/PpqhENocImE92B0j0afzJU8Nu5NSOTLeq38sPCNsUwnKgLEN0Fe4+cAEI/FV7Kwqimbg3z+Uzt5/2zH0XCA2h6D9oN16qPXuGiQDQjZvMI1QmaszEx5Y9ESUbPjYLemvG0TcEijjBOePoI7bF3qlq2T/MdtW0s5un3Y5LRXe3p0xaIFj+IYBjhECTi5sMHDndvbEV3WU1ljYJbU9E5doRprG31N1TVbGg+CeCSanekxqk/AOcW9ygdRCrZ507DIGNrLHNKUONOiOmGz5zI8fwXyX5q+kg1lTldd296yufvtUu4DAk2KPkvnplq26fDa6NSo96ReBENFVMWcsHpW2qzZfPtvnp6WqgwV61MWyzW7ItQPUn0bu5GZIqpn9Dl6HdRHrYlruoKC9jfGkSI+c1aF+5jExaKG7uvMvci8qqATfLAoTC48XY7kyNEHyX8FUfgZ3tW+zVNiLwY3hTK6I3LL2DVe5BheIsPmpinLCwi+ennr3pL83SrlgLxEXj9aNd/i6eulVRp2HT8Ub2N6gK+V/KuzV3+/XELBDi71cLUWp81pSyXBxOX4uAHp/GEUF0xP71aXrv74eIbH7e4HcmZj9V3ct/lpdNBgtcI7M2UA2WURTWqE7Uteqlw9l4vHD4Hqy5N5MJFwaJONkX1aInvC1E7icbkBKlu0F+Kx302IpAGsHaECqk5N7eoqtWmBFn3WNaVE3ecaR0xjg453LX5t0Mn8kNNFgD8Rcub5uN2ez69noQdGBffZDK6efmh0ws6Iv0XJBy/ucln2QYn36Xo+vr1wXOB0KVunEmtXr6lJLTXkM4jHdUeP7Or7B/6q7tzZjTr4shbtrpEm9Opfop3H814GgbqL3O5Yfs6ZvLTXbRO4OI/uLVjdZ8s2Xhkrtz3a5UolKS40yhEBPmABv3mvRBr/1egMA+JDHsdpfYZ4kN4myKSWBYhHG9eloDNvo5Kxs1ln9obsuZYe2B2dL3PGJyslQjVy8/bzHO787HRH32FdMgthbI7zhp9rFGTZlgtVMtOkddeeznuXLsd32S1/v1+3KfawBQmooF59A3zOoaeLcZJzuHEtKPhBnu4UXXAEUYijCv6gttPYmpTX2L+o3yZzbw9NGhDdUEbvT+m5S8KTnRux1Xlk+f3D59rVZ5i2Dwr/eeWrbO7sC9V+nVqYHBJPVUeHTq7upqOLGfxu+c4gdxq13Sbl1cXGhnZtxW+LtPpidNG4FSkcyXldcsIT+ldJb/N4LuI43tQBSeaUFokO1ATO+qpk8YGNr9mEeNxr5u0RnWp1X5UjW63eSQt//+78N69a/p1ftZJTji5+KRTci7OG7t7r64amla73qbP3Wjw9jA1rs/rlKcnJ725jGngeyY5v6LvRJwXRVt7ldLkojIjrlc1qZLDkrOmy4p9qNnc5Lh4eTV4XKzSnBWKVV0dPa7rQxSJQAIvD1Pp6fu02H8O38ydzY/x+tX/UXhHsRoe6nYfsbqyeJxVseccFKo7R1X4tLI7O1bvcuzSj34auxe3ugAseCsJtejpywR8avRCbrXOS+w4o4VnsR6gwM110VzNy3Zvcmyt2Zfqk8LJ4Crl+YFndpONvPVEYvC1nu0/ikH4w9T0u5FoU78Md4OERk7fp6eZSVcmj93ReNq8SOs3TpFQLDWfmXE5u206Mh+cSkFZ0w9dJLUIogJXD8I64TrktRs0+ARjLShQgSzk31G48buKTEeOzivBLsZbeWhrlzmHlL/SIkPWzRfnvZvP60oweopP6LE5Wuzx1V5drfmH95Xnc9HaemwfwdC7kut2Hs2/b9fG4+Krbc9kMvmDt7KuU06HRgQkNNoYuLnKNZPYcLX7JHLGo++MXBZ9WnF9HVDcxLuezWc7YuLfM5uK8efPu7rvPj7zVc35mbo4icyCrtZRykM8LLzhnwIW6PfA7q3rnAN/pAz8+Hlu4Put9fmCx5eHqVBOKAY0HXR/b6A4VoAEE1CJ8jIswq+sjK9hKkug6rdvla/wzi1sAu3Sc1I+dPYJiZlZIL9gc1X9V5n1q/Hy18r04Br4yJK6Me0Vr6K5ruG1jR0eM1EY9uvT060kWc72Sq2QMl/0vj93qDw/MU0EV8EgVzK3bO093jsHwBa3u9M7NpqsQ3VteaYmi4Ymg7ZiMUu8P1PaOKsUo/J1p8IxzXJ4v9nY0tfI9iuttIsxvgOm9MiwO8rlXyzWI7jSVQdRLOKjesZS7fzyvdN30LJvo2GjxokZz8pLGvzG6k+AfZXcLBDxK+ax4wiHCZ1zFaUNFC0mX/iQF4BmL4doS9MiiJGInKMC9WfEItX9r1SAZDeY8bGh2z250glt2bhFHKhYxJOBf5axcCu5taPQgAvzz9qC1+sdtLGI3LQOgAHN9t2p5ukf1BwJwxxKdlH0vElSBc1nr1A+cPsZj8c4DUuk/zf/Z8mn1sQgyolnMEIn2j66SJWPU5wDa1Pv4c5NT7SiDPGc+35/xkHGiSLW9jehlvE7qQdh9Gv2qHf3UjX7qlKG3AJ4eQsDdDQg0svqb9HRFHFtYfIbpNEj9xanrRnHq5OJi6uFcTgKlTaBFPELTHcX3g5xuIvXm2EDWF5pFJ9NJan/T6HKr0V+Tx/j1mjfdkaa7e/QvhzQjhaBRSOYPri4Mvlnhfdi9gt7H/1CPUt2GSV1irvqbQjU88ZEKow+spFc6ANaJmzpejzSXVShZiTRzGUO7hab6vwRzD3N3XnD4AuuxaM5l2BRKxtdu3N88x/2u47n6a0iffY9TzyWDAwVj0Nob6bQoaU1ckoQtrJ4ufH0Yvepo11gT8/X2dXchoKtvh7XcXOb+i6eXSQ7NW2NCzUlcqLA5mT0vd0+rKWL+U4DN/6ycbH874L1b7vGAQogA/y2sjZXMIDxo/Vv9TbQl7ee58Vu9cjFLd0E/MIZxcGdIZqciToIorqJ4P1Elt5fv+8vz47+MXdty2zoMxFAjhqQ18WQcz/SpD+f8/z8eSyKJXQCyT5pekrRpYhj3xe6fJyRz+A0X84MYGm5qwOgpCE+TUSPbxN7n8JN5RcX7JEf13HwOSGSUbPfvOSzt99cvWtPnT+bOX7zUByE1PsjDwlOcp0sfxB8A2kM59OB//jkwNfnE3P2IoxNqpMAFe/RUDVSd2i5bvW/cqj/uO7HU6/WxVCu53K0OfeBUaQ5aNqfmxHvWRgDZjvhFEJVC4al1w3kNXI6o1FF5SzT6eYZ3kcfhOZF1OIQLfr5PAxrI3ASBv2c6+9vvIfcz6OPP5ajc9yXt66E47+GbpAukDJK6G09nN6cRm83pc8m6HYyRvzdDEY19vmaPhGIfHTb3yejg2s0eanlSGgBV6X2vLekFGSzKZVlnerv+5y8u/XKQuV29gAGnhB05HbEIMUcdIIlyDGLPaqacZIW77tA/vYA7lrMvn/c2b2PkruoNEzmBCCksxSKjG/6RnfGzVmYUtPCb4eko/NCfgFfhvYdw1SFhJSqCSEoOGcdyyf+rNYvgc1+u72Y8BXERRv/6c6LPZiokOKE9v36dOO1Q6tKr2HKex5yshQNA1mu5iO25GW7IBMBFAr0j/tmcNcV3LqtObuEgCjEZmM719OE0utPpa83uW3LLF32aA8V+1ls/ku3XNWLyyxy9GWDclz2AM4xGF2bPb9MC4/w4TBX5+3Nyqea9Zu/d+T87NPp0hY6el+CSKTUEnRt6ISb8hhXZAFH48H5BKYjlHJod7uXmrOAwujSSezFrl7k9yg3Eh5RhkIgTg4vWUM0YGucSaEC9DwefP4LDQNOW5+jrQ1OHOsxa3+zB/u/Rrr8Ku7FZlp8OpGNMXFJRlZqsBBd7d3UmDIwO1BQBK/hKMLsBm0pGwKt2TyejpwZ08L11U4YspUcbu1YkkTX88IIkwnAiVnDlih/y7Vv2qn+u9Mumluf6DT5sdr/z6xHo0iiFne9seIF87GLkZe7Jmnx4xImtH71v0lQ+dZjSHMUl49y8KXtr9NXgoS8cHqYAKPJH1bvw5XqavQecOxkaURzTCEImlXFOjMBX6PBzViI6KosmavnKoy/S9p6QC8gwTHQPVyFAAanQflebCgCKeoEz0VOtG7qcrh4U75UuFRMm8dVhpMDssmPhNja5ZnfDHUpoiqqGJzXPjqWB8E4HVzhYQnysXsDALB5Jlwg/JzHbYMGZHa3cCy8/MpyRBqbmuh4RGyQ7ETzl0OEFmAYyKwwD0Lkhe652smP10lLuWb1R5a7eVVO1x+jrnL4CdMJ7+mZG8Bc8kmbFSqwUIO+YyOiphZKshJQ0qP7JNqd+BMznOubAoTyzDhbgdzn6pSJjSA+L1px9lDe/YqY4PosoUiaA8/B8GNmDptH7oWpWio6BD1b7K8AsHb38q7BjIKTepyY4UUUkpPH0VRFRsmzbh1LO5nX6dNvt9bK8/pPb7wKOHuT0hNKcKAQsGN6EBMdyy6gHYM9gVOqkiJ3QmlrujMnSo72QgkSBWqAgtH4uc2T+CjIz+E8pwBiZycHejkIN09GZe4v5wrrRW+mu7kJ7ZcWOC0/3dheM7Zs6OpXvy6Wnn7DZ5466+L7/UjXnjd6SlnJij1nHlg3h8Hr+EvHOgdWLOESVA9VhXUc5ucwums/nMoAvVFmm5KADc3UFw3kbefpZwsERQL/wQzgJSTcMV6ej8FSZ5DnZ2QnN2+uKPCOyjdC++bS+hGzB6ulpuf85NBpfxn8+dts/fufqhY3eWIXZ6ABr08I42XM4P6t23rNDYXyyMlILXPyQvnCSn5greBKQ6wcISOI7C7hxkMB7iBM1U711YIjhjRKNeu7hOYexIrxNBRXVZKhlVt6oBuF9sfF9XRfPLufFl9fabt/3nUKy7XTA6/N5e95/ZyEZhXet5qL47ogl4dwxh/e88/XM21g6RyCLQCYtMi1X+wUYoaAznOB7NzMoGteF7tQ0yDfLqMi9C9s8NSnHprUY7gEkhKysyIQ7Em94QSeHfRufOQVy24cS722Xfdj1+u7fy7qT/D+XSVYQGJ3zug/yeJxLUZ7o79nRs9gxTcncOBcX662nB1NVpwxpF3y0RrcjGfV0T3FuGOEsJrhZR98fsnxsYFYx96kocN4llQgsU73FD3OGnh6cLi9BEb+TQX/f7y/vlsfr912756ZPunAiN3lE3bnTFCKauDnUqsnZRPjBkJyhXCpAR5VLlNjhLAr2bCZHH7kiHLHRAo2KAGojhEjbzdXO7MWU/JORgtbqJyvgsXcRs1LF/tySSK2Xdh85fRtuvpHVV6AlcWn90NzeVXj/fP+mfQH/fN4fRWTkm2n0ahZD4YK9jdiexT75O4kBFOudR7aZDEo37YULOL/qjAo9gmBl9OTg2KI40Rki9c0uuEPrOZ7WwLwkDuAuCpJpZwFP6Ty5yWta+ULV23uZOT129ZByylLCPx7brgOw5bpst/vztkv3JePpfLp+av1GqjOZeEoaUSTCPDPDfA7ZyEJaqjKSLGmARWYvhQ0ejV2K9gkl2J/omkh4cQ4mt2c+QCF0yRZmjc6ICQa5uxFcZYuf1fvh5+Dr2rQ5sy+ugl8PNtL7ruIl7XHfhXsORS/M6ZPDkPO6W7hOdDT0rA1VWrsihLtlB1f3ot0FI7EmAPN6GLOYhi/OE4Wjh1+xKJeIv9uY3+KMa507M+SIkzanb/nETU2shMpiY+WeuF2LMjoWcpvp1Hnxslzt2pZjqv98GXrnh38+vx8vt18beXp1LBVpfD/xdA5bN93GHD9dNRd17ueToYTGe+/tbz/CbXrJvV8Y+vZH843lm5HTm4p6DWjCDGioJazZB6T0eMTyMLon8CcZ1VU35zVasR32lO7mGw1oVgDMLXENf3z65/0m9TB62rHyz/uSn99bM57ObJLT2n7bSnN4rd3nWU/fvHPvJkLnjsPZQxyLlNDdlcuoZH4fur47qFPKS5wUmUZtdmtNKVeYR1HlFBODJGTSyVSRvXwvqUINp6uWlTZrCGANHb0DI8nbo4Fs+FLr48/9tux80an93h+73W+vjj0Fnl55SDNubV2MFzuRRRLk1o++7HI62MTgBowjswTPBdzDCLwvOKrhqRvsVAwdniDFsdDJsfYpiCuhHjbxDXqrJ2oOVXMrkUKunmWkWqtPBoJ9y7ZdWNxySS6uhN8PHPezt0PVZUmP+964NTuRaxM6ByU8sBdH47kG8MFmxrMOZwNo6dPrioLMAX0VjGKJw0bfMPt4jfCzQxCjvKIrXw8AgiWq8mbOO48258/7BxBwgLXvQUQoDSnDUnCoqMCJGsIn+kRuG24+SrmNuvV4OKOa24/n/fk779Zfbz22/iyk8K4ERA0d3ST2cFJl1alUQ/7K5N2+EBFiHOXHnB4OZ2A3O0EdLWOvyV4+CPwBGSSGNbOFFEKg2PDK6cf9UwN+HzxbW4O7NWPzBUZtw9OvnJ3QcxGKZv8rc7VejzeM0QFZUVlgZoK8LvatzYZ5xdFehXk9kMAlF8CnrywvV3inbG4PGYg9CrkWLYROdP8MXxlvkJuhl7ByuUQykZKo0SufrFVLAroGIKkFBnK7p19bfUXW2OUirSMYi16cp+vafxgd125QywmvW3vahI0UgGhzUNgBysaarUwMNf6aTbKXc2suY3lunwR9yzN4gUIXH0h3uN3JzPiJIc3VNnSr9npRTzeIFToxI5x79fPXbs0R3qfNt7CUu/b1frDu+YI1pwNyrnJB56yOvqx8Y6oxC318BJ3mYQ1ttnAHciKQy/jDMCK+gR87jddIVKljX4L/HwM7Wzg3Z3OYTVzTfx4nggeneEN2wBRg0esawaOokOuePkwe+zpa3Q/nemQHhOzakfAU3isKxJlVawo2MEyEi1yyDTS5WbCQ43smJINYzTMZHt9BFedsZr6hP86lWdNmXNtCmSdptj/rmwGo3ppuWRtvkwJdveCS5RjJ/UiskoxVXOjpE/Z2xm6YyF2W8JdJfbQF5nIZPL3NwVFtbkoDV9ZRXtc2xtCVaErEWwm7erXFdHazWr0b7tMcIV9XdRGBHm1O20oQZCDdQIeGikU4c42JP7lqHxRtJya2gWhusiRSa41hE8Hsfdu2Dez+zurL1V5decrg5qUbHYgqdEvAph+7NzuVhQfJc9TMhhc9OWzckVI8G0oTeF/JZkcvZmkGp+XEU88SHAqSoPg9r7cseuKN0TEensP3Vn0+16HMm5Supdlu0HMity2a17frAO9V1jWnI+HYOj0dpgiU23H31lowi0eapZiYaI5ywDJBDa+W8kalt8qHv2B57nLQlFOVAfwanTHI/vC0IsrsnIDf+fVYlX0687ehkuZqZNPmOC4yuZbuZ8t2eLpz9e3C15fI7IqJXqck6zB60mtW/R6wjEtOBpy7ds1+yFtBMYAEeoVSrspSD/L8a6s6R9d/0zJteGQ+SfT/cxNYnC0qToDwzRJ86/NxIYzZafTkhbcmfz/u2Orql2vD25el5/RtTmguERVQDrgAn+AJNr4Y5+nKezXPLdXT4x0753TF1eBVhBLmohHP5ow9PedJW2bNKoHJ4WkCuToTa7H721Z7Q2Bp7rASwgYXSxYGkInD0/9tgfJWRfZXj49aaAB7FnOnp6ufb2+unK7yupn2Gk8nXHT1bNEGLulyOw4zEFejD95YW11EY3C8MRpjRMs0ok0KA2jPOC4LeUOzN6rNEQDXR3AQ2h0loHiCOGWUOaYzayKV5JUZIWtcvIGrD0/fpquTp29XET7K65rT4cYNPX0Kf2DXZioVv39BRlmFTllMmcAHecMavmiXh7FaAOlCAeLq03Sjs9Vbc2EIV6hTZivM5HYQx7QD7acb3SigAsvzWmvk5svKbr5MTydX32IYDWb0JfR0pQev09NpTpf4ht2ovkRWJ7FJFjrAYe0M9BLg5P20DqlNgH9YrLO/sTkfXXSwOnIeG9jfXKNeFnApNnl3EplGTy6nA33rBy+fRjeujr4e0MZeXTMa04Onr/P+wZfujIY/yYTfHD9lT0ilhIpdCOpE2JTY6th0sWkDT5f83uq6xwe6JJi6ADwG1PTiwsVNrBjePjy9sRpPVS1NnJCGgziwOnk67NuuK/hoTFP5irlCeDfSfedhbeMY31inNURNUvlD2ZJQ8rNDKqbdlk8v/7F3tTuO4zhQkCDfSBaSWcQBGvvj3v8xz5YtqYqknGlgbg84jJ3uyaDtbtsMKX4Ui79wBIbuo4yTT8u9GNc2IHBAj2lZ9cyDqXUbi/9xJd8RJ9Oo3FPErmRVWovYudKEfio6ePCMhMfWh0mhFXirM41wnAAAIABJREFULE2Pajhr90+80fbkDIHzEq5YpAXY5hQ6l1p+h9AJN9MHrnQfzYCz9yDzmr80ycdkudT1ElXrZHEt+Q7pN57BpCBxQWdmzpcjRcc1vRi0U1x5CbLwAu6cpekwHdD7ZNt4b+VjaSyE0RmifpRH0Wy0gv8eoY/KqgPlFn8eFX0ZDWqLDQPW7O3c0FC/t5Rc4ik6gt/PQEJShB7AkQvCm5ORW7SGeCmYZEIzj957G8gLDp1c17OirKBCOzjxosGxl19Eq/sCdAeZG8XtHVM7lHyHQXlAB5bd4uyuU/YxM8jcqKzQvQPTq2xkSc5dQud5WVPiAcrEsXWnNf3Ol6MpXkHmaYhQXGp6pDUdpgHAJyB7nY+X5VYnwMI6DsenvYjV1S02wrl9uR/2DwAm3aQ+iiVdv00zca1Drfl4yXIgMqRc20SM0caQMg3Xy+7fVejMxiy4oLTElcBjAPPOYIqpN4dNrMHU9CTXdFiBRpomS6ZwFb/R4yGnmGx8FgjKgUhCZ/kC24jlGP+9ZlrrH7h53K/1nPvrBZp9MeO0jo8Z7yHK6cpxCP3vS9N7pQVcqWShZVRahjW9eXMiTi/TghvJXZFK0poumeFTwlkEY/wIablAzzmVk3cs88x2YAyD4uI1Fc4W7C+l7D26/obXSOjsMUD2TBTL6G1SW/GZiiqH1Ovex1RnlvrBMnWt6TERkVA0OhtwEk+3zdq8N8EHlYYvChsbMKUbNVrjuICm6SJ55AcHVSKeywwYWd3zZowFYcoa7ZdlmpSAy6yud0F1DGL0VrvLhu46mf5fsrBGOIfDGs4ghqRWqcMTyTxTL5/ckooD9Ma0R8qgw9Y1/XLmwj1MEruYg2KnAKLBIXQ96BVGfwDhIVOYW0V28ukUO5GKqVUsp/vBsWtuwWKO4xYrZkBCBomG1eZiEBClLdf4nbNNie4C1ZzGInctx+d1CX2AVbCKmnRp7RB2MiROQgdnLhjOXBQRO60bSUTssWs6ze6LpOmM4YYuNwGN9lOkLA8XZ6H/6AIgSRk2oRN4aYaATGhWVeHPXEWTcQWkFkZ1xWOQJkoPiuKXQp6u6YCBnMZq0cjJdOELTW9FVhmxHx+FqEiIgk0oeSaJ0LwLLUdi+ORF21M2GGoy8CDrxZ08upb0XDpywREGR+AusYPCaZEOS6LiQh2OOwa7Gtc7HaCYPQJITzceaPmqfQfzTjqeSN1lIi52DiHQ9JUVvX+zLXyUSfhgFFrPF2q6oJdNyXuil0zg0YlUBXb1eZPJwEEUT+O5s+xAyGS+pZvlhLvtdFZVZXNEAhg4ESeZN5WBO5f2TKtdRlLnvqjXGW4jQMck6FzNmwtHYt81fS1S283MXNA0c7MeN9Z0PaaTe7GuEDUlzs5gt6M3NZ0zdpyGHWwmWYTxovMdjAWBFtlju8vgcW2/9zPoIffOqqfl0RVAUxoShTtd6H5Qythc7gIfpVb0UoUuZM4oGgswN+ZzTluejsvA5EwUozoT0yL5JIYya1XPtwAbIUUieVjQa4O2MSX5LJN6MN54uskPyDUYN8/MOzkuWZCEUYOApHI+QdAeUK9pQjwAJTXTupMj18ByCkdTVJfbncTJvPvR+yK4wrEFz0DU5Lu2J0bW2HyjWMfWnp48hWAZmYt2DsZKjUBcl1M7Zi+7uVUnpnaPY+9pLLUmCvM1+Z6EaU/TfuQ4E7kUOoTps4htto4jiALidAXKJ5tOeVesvSXRqt3MezeiKgOrXCwqZauSy/Lr9RbV4Xaaj0Vh2WWMJ6Q/wTuPBl6ahO5hvl7dliZ06CVLc/YBWWOLltDRTw8hmFB4TR4aFItkFz8J/RK8p5ScN9jpGzpIDhp0MKt1FniTe7ZQYKfxbItAxUOvMb8ZeNj2ahSmk7KfCgwytGhY6FeAPHdF9zBq7XqIdUSnQdofEYwse9FNqQvzXjAZqxZ1mYa/nQRwCX18DMhWiSDUQ3LW4Ctpwe3Uco5Mp8MuSAcG192A5ir4ETm6MdueB0yiUcTQGmCh2dlMXT2J2bynjOkpal0RnP2t4hLJcZ9tiImTsqve+4reHORo5l0vQUXryuA3oUeYGBUtU59wGDBgqhSCrqc0sk1gIUYCjeannD/gYZyj3mZRYWk6nnNeFmd7ffinbSNuLOfXf1PLu5IP11hAewruSr5HLq5ZnnuwbDoJfTVcuXCbj42UlwvRJhjsQo/QBKETsuTF6xnw/IA6AeGND985ybJArC2TnfNyALFnHGtrVbC0+yYudzDlXjade66qjZyVGphaNf3Kw06KagSEHM52iEGnYde1RuoUuAWp6ha0IsrGF6Hrw7yLLkce3ghkaD7hcGaC/FNg28XuZ085izVdZmKVu58N/I08JDvl73dJO6eJJMw5O5RqhmF6pOM0dKdbRzeS77eWPUS7zFIwI7euRS/sodxRVMRA0boVL7B5j4O2IIq2HLDvPUuDJDVXNpYRVf4u29UKLrTgG2G56hrWgZ+t2OqUSXyWICwbibdMjjl0fUlyCc8gmVCFTrCJKWjCjNR68H1o+irW9dDS8GziBb+goJkLM/MOBQGeuh6lv4LJZ2HpZQorZ8VByPgz59TM9pnYXBaRuj6AQkF8e5trTVRFG6UkE9iOeSp6Pp0QsCbf/2oWc5qHg7TZWIpZcaumr6amB8LHTjsbBZYm6DU9cZo40chf6oBBr04kaxTI5kLJp+b/5O9uDtiLspMDB7JmENClVk3RXmVbr6m3lo8QfNSQREImCfZHMYDnahisedh4Z9qDgY9iDFQV56npq3LhCxRe5rUXAMspvjGh6fFe072Ay6bkvYGlkn1wJ8jIZDHhurZhhTWuxkjEOgj/BN+JLp35puGpqvkldm5D7cAgnX7RcRqkr/fNEHq6KbNM7Hu51XSK3Eqw+xsjdzyB4EnTcfALkSfosN0nZpOFCpz08a4n23YbbjFD32QrK2sX3omgdgFGjOysDqVdqOm8LoHoxwoSzMy0NhyXeqn6qem8lCefrOBcRWsljJxb1/TViNaLxsLLWeuhD/GSZbeJpkdqwSKQLALoFF2FaGtnm8lhnGKmUw2DXrHWiQqdCsgGZ+EVvrc2JU3y+E1N77ztxCkShbJfK+SRnSHESnm/glT0SwVBz4vQ9OK6zPWSHqgNokzWdc7Hf9R0svApasM2CEu0eR8IGy8RZj67nP03l3RnJvHn5VT22+fFcgDGZK3qXhbXRHKSSOGQPagKHVQ7r4+v92YkX4OdlWn6644RW2WdLeuhDMIx3QQRAyHmzDXdtl0UtJPvRrFqlb2MehEOMS9ynrN7NRvg6GD8tucncFwzw/DLv45b/HAYcjRX+L+k0P36+Pnz8V6Tpeis5wWl3jV9tbAUzExSgtnP2v9QfdVBbcd2CP1d32386l/jn//CNgJR8lTrXZ632u+8nLevXis5ufK396RWf3DGcb93O2Y2rfBI120X+s+vx2vdPycD5TxJvnbnXWv6audoOFzX9r2t6Wl7Ps7tq17Pn+13bl/ygf6sWxU7hGyId+GY7RSjw0+uQEOD3D8VX3qy17++fv7Z/vHt6/lae6TepF3Yug/nzA1TpnU9FNUCoX25SCW3P0L/H22PF6fb48SJ65reVyMrXmdUNPlzBTS9RWzb4+uPef/nzH1X9fcqCuiSOmhwBZ5xOsfqqwGrCOFmFkDzFs999zDqfjpy28f98ubEt//LbbNf39636+t05JqeQ5klWnm4nmJta3qX+Sw1JwqtphN/7jSML6tiitpTqz1dsIFRY5G9AWdAJM4/sVQuz1h6II4n9hAnZ3183Bqd/6D5/wynE+M/cjZenzcRJO5Pou7elVPoj3fJSabhVCfq9Sqn0Ms6vjXJix6IIlb1oscwB6rdx1CFnpgaPtoxu8zGaxYDqLRP6XM/B8YZK/S9YKdA0c7KxRtkMbNP1+wHU/DIh21aX6lx+mFPU7rSJcGy7yMVNwouTeSlReurhZkbJ82KL6ILYgg9zOsDg0QYsFRWIxSVXRPXqCafhu9l5m5QdNBGY4s4A4j9zuBogzdG3d/uNgKuCv0LLHu0cqYlsPTKMO8yUl+liZfmvRiD3GjQTxM69DMnzSMr0HOMjOeGCD/Mf5YM0lS+nH217mCp9YPshPOlOB32FHjyn7Y813St2Fht8fFXNT11NfLr83GEar3sRW67KKmGkV0HTdfxuuxcn6bmojH8Q5p3yT9FYyGIjKaKfPTko0vQ6m0NKFwHHB1a7vp8o4FJU2v6ch2ynMdmbKKSsJbzjGsBqGOUxAgij3wxpObn8X40ajago8AO1NPGbf+iotcPwZX03v25a4xOMOFwRRr2EkjTRzqyJTBFuF5uxgHcafqMRLgTlRyvdauSDtvrtYXjttb9XZHtXC0Zn/261ucZ96PWgzA1l20/EVtjpCnOad1/dzmebz0r5U9LsYu7h3wcv1/V+YZKPwh8azjOdY37/8tx7Yzoh+rhUO3jgtbjCdTbpiEs1ICceD7WfhJ1HMDMBtO4j6xMc8kdKbodrROpZLDYiKJseNuv4r3HkS9b5DGOYT/7V9nej2OEn1+Pcx7HDPaazH1ugnbw+k/Y3s/3/nTzMcv5mAp3jAI8TlxpXkQixGk+jj3GBrp6ZfvvNsiNgAHGu+NqXnH/K+fx0lizNTn+1LI9n2E5bO5x/JIFNsZzA196ncfFFOofeEUSeTLbltpJCcsrMBtXu3BQHdeaDsWHUTwgTR+Rm1zYOQ0UW7y+bdN5bjgW4Hi4X4+Qj5t/b7v4Xr4893fHtGav21zz8VC/9g+Jd6+v5/Z67s+3Hr+fnaTCjtV/2yV4HBKOWe/1rGx4Y6Dnx+98rbutfl3X4gzLgL6d21e0x/ojvuu1POMyaBK7pgM2atvlfBxX9o/j/u752JAgzIY4H8pQTxJIZxJDkVFb6SInTW9lpubFTzQ9zAZ/RM04F6pk7dY3hEpGv73f+70EdzyG6Jd1v6X9Oe9R+fuxZRHmHdSJ2/N9qNRu0vcH9a//cHYtOq7qOhTF2wwhUbkSIPH/X3rt8IjtOEznVEdbnTO00+L47bU88rXrsf9M9GMaPKaq8tg/678p0CWZ7vMPSXINg3IBs1L5IdILIlMHweeTp0A/TXWn3DxbMk8+Xiud3TRtnx2ncT/WscZqStMvCAN9+GnkPbVAz8ZhYwvXANOsP+cPFejfLSo2dmhqMlrPpciVpjfdtmaSRnVZvejd2dbZX95YJ2TjEFnodIzXwETxSy7iJuVcW5QrP/8ZWeh0nxZSxLQsfOumci/Gbsa0f/K/eaJL6O7+DOQPdhwUD69m8CPZLVyCmVmI0zDyq8yuBcmDxzHlxitI08THKUzbsQ8WuBXkNAHwVyBzXT4Q/Y6+Rlbkj16yBkXc9KI1am4R16W3/vySojLvj847qv4cE7BAtwy2ym/5Sbw9rQLiSgHcUsw7ByhzpiNP3y2wAdxRgd/qTeY7xoKgW5+XhRxEImNK92I0AymPIhZN/zfTtXTVFMl4LzDM/igLPyPXsfNG0TitxzqQg/8so5On19VjgU/qKXQ6sBNdj02wrgpSFItG3kidWOiRD0EKlrnH6gl/VzbydGMq3WuvHCNz7CxmoYymP9Y9pff5WBvBY58eHnzck+SNxkvokYFabMFQCt0SCp/be8ndk2EncQRQQndwI6cgE7tojhceoWctxEE76/1sFq1F6DMLvV4hZf0Ei+RmgIXOi8UjOYVFFRtqCnJXJJgzjI16ZP9EQt8pVtRbsFu5n0LHInQ9AGmLcTI3lzFcY96zTNWTB2eFzkIvbOYl1RLuPn/BZckuofO9oVtQNrLHR+hOeY41fX4RejNMScn/fhzkc7exCn2447diEgycYjmWRCq1ZE/ogiDmLgfyDnHyUvnU9FvoqgYTNN0jazvFkxN/44j5FLpiVW6gDFLTsXZSnTaqqrg/KIamIlflnv2eWzMfe4fz7V9FaeIt/1gboVShUwi3pPkUejzt3nmHgqrP3pq+z0LooQj9surzHIKkpGR92tJ6mvcxnJrey9PJXSNHVyPHktsj9LlyWMtJ1jPFIwMFiUPwIvQBhHmXI49inVYsBbVYIlF212zef8Gp0afejKZDR+BypFXEcJ7QZRm+59n7i358UlHs7nkyQqevy+lUiErosZ3+j/Pt02e+cyz07dJ0QTF8z1qWB7ASDhy0s6YHDv9gfmmYkNDTzOnaSiHZyIEc+fRKf3fW02Ix0nw5hXvHsizHsdD7U0rPhyRa3pigFmTGocj8NPGxuOvg87aLNams6cBCjyaI6w3EQZalOPCFfsdx/tQcmJnoW+rorP8ww3OyUQCupmPkjJWzNFabgS39GvT2WKnpRfsixeF07ClB+lei9+FmaQqz5rGhRC1OfE5Wun6c+U6jR7T9FND3gzR9oLfkEG5kGzzpJs8syDPIuu/8+BShr/NMkYCJ3i9AYv0ynHFS/lWifijuIff0vO7fKdF7qNF7dwJSll6zNu6eptdCjaPrwjvIEB57hKII2HBWQFfTN9ZzVjR6kn7Ywg5N/xXPnZ5cnCG/S7LmA7IdC/ywAx6eeeJZe3Wka3/KW3JaPHEwL2x/XT5wm2tWbfjHn4Ny++1fyaUt1io+wEOOGehbcqWgWJ7negFXqLPNZ+OYiz8Foksfap34VL3sR70fpBUwFS+ChgUyO3MTEsAAQoiDa93rwHDj1qFDN6f79vjdolYt9LQcH0qTKFHiyue+lHKFRLNXFBT7dDaMnBovaSBV/3DRVG1pF1RlZ0Vu4bfMJE5+7+rSowCOPgLl4szCb1n+Cr8QZ9HtOYGT0n9QFDFyIDeSl6EXHvu51ALbef/zaVjJF9B33Ve8vsbWd+hPUJz28817HBNQR2RErqalnjxNz0lOhLstN2fPzwvEERQ/kRvIrxynUwBbHpQdA9eYV4joNF65mrPS70pFo1TcS9BfivBic4Ax3DNXe5c1k3C4UL/nYHcPKGpikil9hFLXHzd+Ak9VVxyrR+wXfwh9rHB9dgwa1oG1e3qG79v5ZemdS6dBIVW6qg7ntwCnBgdeB70Vede856xK8anprsMbYXRuyvESNN0JS+Giqj6v5BQmZbRTNZrqvDzL+VJ+SBBEghQ05Lk8g3Q2bQO9Kj7O//HR0RC5BX7v8nv6SjJkr719QXRbfrw+MX2W+gmjapk/J7cCPjllTQn6ZJ+6U5mT4831siU5G6W9+dlV+VXT/SBecch6f1lyUNkFINBx7YIgDU8/WVlQ29mqu+9+m8tmw6fZ9BkrG6cibItmgYqq2ocaFj6s1Q6i/tF6vcHCxqBiNqjuzyvVqbehKAcMXml/wAcjm26JeQydOK5fh1dFmqbf1unCoMcxCZ21frUR96wJMdRU6IDiDAyy5bcQdv8pzop5jPt/SFKzqBiPjNTD+5Ab6gTNfuDnQCD+Km4U81AvqbmU+D0DaSWeOpouhiRdv151vDHvLUe8Xcr8auT1am7FrWI2U8Vo1oSgwb36whBk87X/FeRgjtzzbq6VFxm+t/p/lEQxNia+13l6IfWVXAN+61wiWYw31/48vWp6VjMV/jy8ICOCpzan5J7BGaMq3yHiK7OsZjB/ODjQit0bpZSiVPoYlOZbYh/V+HTA0+0fCBpT3tV0oe+Imge9xx6DBv4tmysyWMottlCG7dCo+inH4RX4WV18p79+Q5nhjVDWmHjQJh5euq510iKivFEtDyHq6k0MXw0XK+YLeUSCUl81jtswHkYTaaIivdYf0hmAivgN8aMuuiL0cIWyRN6GcP2ULVXIrYT4Nsouui+SVbbBQqDgmBScpYDvdl5xE8m1Fa0qWdNfp+SlaXbVMvxtBF21+nzYvTHo1XObjVovhHCyOakYRVD0szyQoq62NwHcLdjhK0X3dV1gWm36ZjlKXEJhQ1zbm7FAuRpcMVRFy0MpArvWNIc3wYYY/ibyhhLIilw004SPatbtdJ25Je1ywInZzc99waeq6H2hZzM718nYzTBNhl5oqSZl8YsuTJPaoDTxUVEWYRMmt2zDPrxKZl7a0nf/i5r5C1W8ZiJO2So1Y65dd67kbhqWlw7l/pyzCNt9TU/FvG/9+F3m7F4lvgIhVHku94qyAL3UDX6x8JKEULNPNin81Yt11oI52iyT7fhfTH1r3JvKsZC6MWAvIle7jL2VS02qrEM4aBU9vads2QzI5i6IOTcW3YM9GapoaDxXf4guooh85XjwY2gNPZ2lV9UduhBjy+EWdEAXtLlvgEhfnQCM0aw9iNFMs8ffojhdjek/cgWmqnGZ9pHcQC4bUScR9AnCYG9Do2/HRQEW9DH2R6NlSlvjNuwSR9to7OmwyGBO7w8JzvqQDt4wNGIXBHc1eVMARRH8/8VQvLNAOls6Kv0HukZAngodwQ9/Yu7JOec+nhlUwg7gzVncxXjFN/n7I3p1u5td2h6JywroM4St4Ub8M4C0YW5tyI0dMUZh3r99gCbxbmYd1ZRz1s1zV7+FT7/M+5Ze2+pPEufNz90gN9Vsza85O8iTakryr1GdqmhIbJybq0eZ10dZHlceAV1kdBWb3ikqxD/bv2fk2qSav7tyUASvgjjodVzCtM+zlv8NSK1WfPiV+CGrcnzOxseDZi4wLFSdda1oSg74pej9JF6LXlZBhTTCiTcOfl7d8cp+vHZXgJPZphKbw6kguq8mHFQZTlVdXZ6w3PRRa1etm5/fYfnwjcRTnYlOjYV/NB2y5jByYkwUVPEg0hC9WshP273apWrK6OpXQJ1Qbeu6n+hIaxGqpqMtnV8DjErYzy749RztaoKQNhmPKHK2l3AdLTM/Qn+o3UzIyMlXXW4Xxv2S5/CNM3dIabSFBwmB8eVuq3SynvxlI0a79GaVyfPj43tF5QYuejtmbZC97jsx0C+ou6rLhO52W25xTBgzs86VyVNTnEf9w1ugDs4/ImDzgInZIRsAQdTfmHZJOnEKfVMcjp0263NMnAROTlv61AVNXVaH+GAMXJvMRRMTYWtFmx6NKM8hT6QlSNtSRukZy16wkGTzL5D76fMZt17+PWduR/7/Y/rsJVQfx+Icyg5QPiSMvUKej1T+OzYAntflSnpEQiFQX6ddG0gqSBSSLLQnQWV5SXD4NnRP0jFYnJvs1YOHgcnQAbSjEf436q41vPGdcsf482AY08yI1yUxmH1LLKwc85YCbtuWh0LbQs/CSP8mntAYGZ8eQuYRXYhzpF9iiJCR9OMSOsOrk0omoku48dpZAbRNVER/73luIjgVtANYl/5Y9qQoTAdB67X9XpHNvQ476OabNPC5E8xpcqJmUzO8kNWovoUCST13OEYZC8QCbijYsY3RpQcPsa08Y8gg4eNYtpD3nZ8xgpZ/y+jYctl+/I9+PWe6lmcw12XhqccYh4KXpPeAiLox4D3tVtlBpuKarQn7JIDNjIyagawit9S2d/T+HXVbNlVZb5rGAULkDsMV6vVundGaL7S9sfPVssuYPhQYU5k73lYeTi+oNsYmbCcUnoz/Un468QokTwa082U8gFrAKwV1DueL2KnvBSNVICeGR8DYHl/ojQeHbmPFWbAgB1gU2szJz42e3z5dsNu967q7D0DC4wQ5jafs2eDdLARKb/Ssvj12YXBWqZ5ivYypWNM/zLi3UyS3L2n8KcjBY8Ep7QwnX4+1AJl+Msl7YKjCyNCJAmwpPp1eOPNYNB2ZPQwl2t8ZLVNgKdGw6PgNtOjiF1QMA5pnAOF1MkqGcO3Iay21Gz2/NH37Qtc9PX9kD5pwLmdDK9o17y0S5k9hvBcrWwd/azrDjni6HMmjU/pGEd3KfPTA7DbrfqwFK8wYtFyQRkCRPmNWPkBCp+D/2Fe2/2vBTpVFGvtB71l8RlNPj/9v79pW3AZiqLHQ0smIpOAJ5P+/tKOxHes29rj0sSlsG9gtWWTdzzm6AEfoDvUo1FEtVtBrS4DcqICyNbgWfScgO0ly4ellKNIf5b/DU/QkJsmBKwihy2gHO4+6ivhx+6agN83T2YYsS1QjdcvL1dOX1FDq/LYZPU3w2oyen+tT8m5GZx7G+swwVbbdCubs8OHqMDmIV+qPksGunRRY2HCOsQNyBs8i9fl8m6gIe+s+vYzpsVKkI5uN/lR4/iXUIFMIC/R/etSe8zkt2q+7pz9pbnMW4OxcmEXUNCPKq6bo8nZG5zjPL2LGND8zC7/LuBp983SOF3MabMjtYUz0AU6vTnoAZ3JQCYd7VaFdjGU2Ty9fDy/DWryuhofgWKutLdVHxxMMHcaODmOlXfJd8V69T5u05qtR1bbwzuF6WnO6Mnpi2mqaEdjoM26aM8BGf2xGf3IdsB2ZHLp07H8V/StrmJF1cXJyn99Fh/Z0ccLimLPIymy6o7usFzDC1yGa05AWo6KYEIEh8y1M7TCa4+3wJrFwx5MejVeQqwvXEP9ZjT434uDy/L0a/dFyOjNh63Pwoh+WwcnMeyufZ/mF73dejb5W78vE/1kaMnf3PKY7ngfnwxiVNzVGxnToOeupu8jp5Su4PXZXRUHnYl6rvs0cDGsIO8QIs3DwOX14dpP029anr9P6pR3F+KzhvWVrfrsbvX4fPlbnrmm8tm0/WOu1wpJ1zDgD/qGVgcPEV9Y6oHTL0mgsrc+jRpJBZOSiRK2kIzyYKVzvosykaveb4T3Hs3iQchdOj+owMvXuc0e5/c7IDlEfNGO22LLsUWBeXi/evWDhgzeptnA1q/PbAiyLsNSvmQUckb+v1IotszLIRmNM/EPr+qT+q35dtjsaI/gXe+3aBLaTVO63K6HEhCjgRIPuXH0Sfj4gsW9KwS6wIiQ0H1chCDsEKNCI304LNzLCsTX1PO/Rv6nPPuZ9gsM5eV2NNw9+tL67JerHumHbMvZGrRO6MPPFwjSAAILFgF+GdnI6A0ZaorNIpaBVc+F93NXVPausny1fzxmqjWnbOzRntOLxNg3ewdqo9etpZcnbAAAB0ElEQVQFpUZkBT89TQLdiDgU1KOPq5bkpoDDi2yu+agQc9XkUk21aja8i+L92uEDrlumzojOaIZfbGHQYWZDEUK45D53iJFJPwLJd/um9VMDVv0QjaOf9AzGBzI/cg32k64booh6fizOVYvuPV1YeNjpye1fMgUKk4rKHtLZY8tjvHwNZjVwIj57/QhInknUbQdY9TRCR+p+WA9rxn5Q95xEgZNwI7gsLwz6u4K6Tz/8vAwvXyK5cD+Pt/O5zliWTo69eZe3EJvhgG/I0JpukEL8g6GkJDxZoFweNccII+zKmmgrpenHQDE50bl59xrktC9VTWgvIw27gMmqW5QxwoKI/MKgb3eT0a/wVHes7tANwX42Rb6f8A6iFcEOY6LCHRFGWvQD9+oQUUKgX9IQ+69J34my5i4jpje3uHPnDvuXDBNbm1yIN+kv4koE3RBcwutsZR/uZzV1bmS+emZ4b/xj3I4WYtCFsEtVX4iBzgq63LP8dKcxNxvVr1trNoWAxUKP7OKpEGGLdi5KdYKMTyF94t+8xgPK8HxOPsH6N+40tqamp51b5s3jDwdT9fS/f+Xv3/l7HU4WCCW+Pvf/de9+nz5FHdzxM4f6hGlybLg/wPTlrTqtTVEAAAAASUVORK5CYII="}}},{"cell_type":"markdown","source":"## The Curse of Dimensionality\n\nThe **K-Nearest Neighbours** algorithm faces a big problem when deal with **high-dimensional** data points. We call this the **`curse of dimensionality`**.\n\nIn **high dimensions**, data points experience the following even if they are **uniformly distributed**:\n\n1. The **closest** data points are **far away** from each other\n2. Data points cluster at the **corners** of the space\n\nThe **first curse** sounds very contradictive, let me show what it means with an example. Suppose we have **5000 p-dimensional** data points and the feature values are **normalized** to the range **[0,1]**. Asssume these data points are **uniformly distributed** within a **hypercube of length 1**.\n\nNow, we want to find the **5 closest neighbours** to any particular point. This is equivalent to finding the **smallest cube** that covers **1/1000 of the volume** of the hypercube. We know the **volumne of the big hypercube is 1** and the volume of a small hypercube with **side length (c)** can be calculated as **$c^{p}$** . Therefore, the **side length (c)** of the hypercube we are looking for can be computed 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"}}},{"cell_type":"markdown","source":"As shown above, the **side length (c)** of the hypercube that contains the **5 closest neighbours** gets larger as the **dimension (p)** increases. The larger the hypercube needed, further away the closest neighbours are. Let's visualize this:\n\n","metadata":{}},{"cell_type":"markdown","source":"![010.png](attachment:7557a233-cbdb-4523-a404-8884cd73c4f1.png)\n\nImage Source: 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"}}},{"cell_type":"markdown","source":"What about the **second curse**? What does **clustering at the corners** mean?\n\nLet me explain this with another example: suppose we have data points **uniformally distributed** within an **orange**. Then we take **tiny step (ε)** from the outer shell inwards. Now we can calculate the **outer volumne** and the **inner volume** seperated by this **ε** as 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"}}},{"cell_type":"markdown","source":"AS demonstrated above, we take the **difference** in the two volumes. As the **dimensionality (n)** of the data points **increases** towards infinity, the difference in volumes tends to become the outer volume (the **original size** of the orange). In other words, there will be **nearly no volume** within the inner shell as **dimensionality** increases. Given the data points are **uniformly distributed**, most of them will be living in a **very thin shell** away from the centre.\n\nWith these curses, a simple **K-Nearest Neighbours** algorithm will no longer work with **high-dimensional** and **uniformly distirbuted** features. To overcome this problem, **much more training data** will be required when we have **high-dimensional features**.","metadata":{}},{"cell_type":"markdown","source":"<a id=\"3\"></a>\n\n# <center>Example: Titanic Survival Prediction</center>","metadata":{}},{"cell_type":"code","source":"import numpy as np\nimport pandas as pd\n\nfrom sklearn.preprocessing import StandardScaler\nfrom sklearn.neighbors import KNeighborsClassifier\nfrom sklearn.model_selection import train_test_split\nfrom sklearn.model_selection import cross_validate, GridSearchCV","metadata":{"execution":{"iopub.status.busy":"2022-09-15T09:01:43.470251Z","iopub.execute_input":"2022-09-15T09:01:43.471031Z","iopub.status.idle":"2022-09-15T09:01:44.80217Z","shell.execute_reply.started":"2022-09-15T09:01:43.470936Z","shell.execute_reply":"2022-09-15T09:01:44.801095Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"### Import Data","metadata":{}},{"cell_type":"code","source":"df_train = pd.read_csv('../input/titanic/train.csv')\ndf_test = pd.read_csv('../input/titanic/test.csv')","metadata":{"execution":{"iopub.status.busy":"2022-09-15T09:01:44.804604Z","iopub.execute_input":"2022-09-15T09:01:44.804966Z","iopub.status.idle":"2022-09-15T09:01:44.833876Z","shell.execute_reply.started":"2022-09-15T09:01:44.804933Z","shell.execute_reply":"2022-09-15T09:01:44.832816Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"### Data Preprocess","metadata":{}},{"cell_type":"code","source":"#missing values\ndf_train = df_train.dropna(subset=['Embarked'])\ndf_train['Age'].fillna(round(df_train['Age'].dropna().mean()), inplace=True)\ndf_test['Age'].fillna(round(df_test['Age'].dropna().mean()), inplace=True)\n\n#feature engineering: family size\ndf_train['FamilySize'] = df_train['SibSp'] + df_train['Parch'] + 1\ndf_test['FamilySize'] = df_test['SibSp'] + df_test['Parch'] + 1\ndf_train['Alone'] = df_train['FamilySize'].map({1:1})\ndf_train['Alone'].fillna(0, inplace=True)\ndf_test['Alone'] = df_test['FamilySize'].map({1:1})\ndf_test['Alone'].fillna(0, inplace=True)\n\n#feature engineering: age band\nbins = [0, 15, 30, 60, 81]\nlabels = [0, 1, 2, 3]\ndf_train['AgeBand'] = pd.cut(df_train['Age'], bins=bins, labels=labels, right=False)\ndf_test['AgeBand'] = pd.cut(df_test['Age'], bins=bins, labels=labels, right=False)\n\n#feature engineering: fare band\nbins = [0, 8, 14, 31, 513]\nlabels = [0, 1, 2, 3]\ndf_train['FareBand'] = pd.cut(df_train['Fare'], bins=bins, labels=labels, right=False)\ndf_test['FareBand'] = pd.cut(df_test['Fare'], bins=bins, labels=labels, right=False)\n\n#normalization\nnum_features = ['Pclass','AgeBand', 'FareBand', 'FamilySize']\nscaler = StandardScaler()\ndf_train[num_features] = scaler.fit_transform(df_train[num_features])\ndf_test[num_features] = scaler.transform(df_test[num_features])\n\n#encode categorical variables\ndf_train['Sex'] = df_train['Sex'].map({'male':1, 'female':0})\ndf_test['Sex'] = df_test['Sex'].map({'male':1, 'female':0})\ndf_train = pd.get_dummies(df_train, columns= ['Embarked'])\ndf_test = pd.get_dummies(df_test, columns= ['Embarked'])\ndf_train.drop(columns=['Embarked_S'], inplace=True)\ndf_test.drop(columns=['Embarked_S'], inplace=True)\n\n#create datasets for modelling\nX_train = df_train.drop(columns=['Survived','Name','Age','SibSp','Parch','Fare','PassengerId','Ticket','Cabin'])\ny_train = df_train['Survived']\nX_test = df_test.drop(columns=['Name','Age','SibSp','Parch','Fare','Ticket','PassengerId','Cabin'])","metadata":{"execution":{"iopub.status.busy":"2022-09-15T09:01:44.837323Z","iopub.execute_input":"2022-09-15T09:01:44.837699Z","iopub.status.idle":"2022-09-15T09:01:44.91628Z","shell.execute_reply.started":"2022-09-15T09:01:44.837665Z","shell.execute_reply":"2022-09-15T09:01:44.915225Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"markdown","source":"### K-Nearest Neighbours Classifier\n\nThere are **3 key hyperparameters** of the model we need to tune:\n\n1. **`n_neighbors`**: the number of neighbours to use\n2. **`p`**: euclidean distance (p=2), manhattan distance (p=1)\n3. **`weights`**: whether to weight the neighbours uniformly or to the inverse of the distance","metadata":{}},{"cell_type":"code","source":"#tune the hyperparameters\nKNN = KNeighborsClassifier()\nKNN_param = {'n_neighbors': np.arange(2,11),\n             'p': [1,2],\n             'weights': ['uniform','distance']}\nKNN_cv = GridSearchCV(estimator=KNN, param_grid=KNN_param , scoring='accuracy', cv=5)\nKNN_cv.fit(X_train, y_train)\nKNN_cv.best_params_","metadata":{"execution":{"iopub.status.busy":"2022-09-15T09:01:44.918831Z","iopub.execute_input":"2022-09-15T09:01:44.919655Z","iopub.status.idle":"2022-09-15T09:01:46.730165Z","shell.execute_reply.started":"2022-09-15T09:01:44.919601Z","shell.execute_reply":"2022-09-15T09:01:46.729156Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"#cross-validation\nKNN_best = KNeighborsClassifier(n_neighbors=5, p=2, weights='uniform')\ncv_results = cross_validate(KNN_best, X_train, y_train, scoring='accuracy', cv=5)\ncv_results['test_score'].mean()","metadata":{"execution":{"iopub.status.busy":"2022-09-15T09:01:46.732104Z","iopub.execute_input":"2022-09-15T09:01:46.732642Z","iopub.status.idle":"2022-09-15T09:01:46.82217Z","shell.execute_reply.started":"2022-09-15T09:01:46.732598Z","shell.execute_reply":"2022-09-15T09:01:46.82143Z"},"trusted":true},"execution_count":null,"outputs":[]},{"cell_type":"code","source":"#make predictions\nKNN_best.fit(X_train, y_train)\ny_pred = KNN_best.predict(X_test)\nsubmission = pd.read_csv('../input/titanic/gender_submission.csv')\nsubmission['Survived'] = y_pred\nsubmission.head()","metadata":{"execution":{"iopub.status.busy":"2022-09-15T09:01:46.823386Z","iopub.execute_input":"2022-09-15T09:01:46.823927Z","iopub.status.idle":"2022-09-15T09:01:46.863931Z","shell.execute_reply.started":"2022-09-15T09:01:46.823871Z","shell.execute_reply":"2022-09-15T09:01:46.863082Z"},"trusted":true},"execution_count":null,"outputs":[]}]}