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| <title>Cloverleaf — Mean-field XOR reproduction</title> | |
| <meta name="description" content="Reproducing Vaintrob's mean-field XOR experiment on a rented 4090: cloverleaf weight distribution, multi-seed agreement, NTK lazy-regime control."> | |
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| <main> | |
| <header class="mast"> | |
| <div class="eyebrow">Lab notebook · Arcadia Impact</div> | |
| <h1>The cloverleaf shows up on the first try.</h1> | |
| <div class="byline"> | |
| <span>2026-06-29</span> | |
| <span>RTX 4090 · 1 hr @ $0.69</span> | |
| <span>Reproducing Vaintrob, “Mean field sequence: an introduction”</span> | |
| </div> | |
| </header> | |
| <p> | |
| Dmitry Vaintrob's <a href="https://www.lesswrong.com/posts/rduzFkTKx5pGKWKcL/mean-field-sequence-an-introduction">first | |
| post of his planned mean-field sequence</a> shows a clover-shaped distribution | |
| of hidden-layer weights for a wide two-layer net trained on continuous XOR, | |
| and argues that the shape is a fingerprint of mean-field dynamics — | |
| something the lazy NTK regime cannot produce. He promised a code release | |
| "soon" but it isn't out yet, so I picked defaults from the description | |
| in the post and rented a 4090 to see how robust the picture is. | |
| </p> | |
| <p> | |
| Short version: <b>the cloverleaf is there, it's the same across seeds, and | |
| switching to the NTK parameterisation kills it</b>. The whole exercise — pod | |
| spin-up, four trained models, plotting — fit comfortably inside an hour of | |
| GPU time. | |
| </p> | |
| <h2><span class="num">§1</span>What I built</h2> | |
| <p> | |
| A two-layer scalar network with mean-field output scaling, | |
| $f(x) = \tfrac{1}{N}\sum_i a_i\,\sigma(w_i \cdot x + b_i)$, | |
| using a hardtanh activation (the "ReLU version of tanh", | |
| $\sigma(z)=\mathrm{clip}(z,-1,1)$). Input $x \sim \mathrm{U}([-1,1]^2)$, | |
| target $y = \mathrm{sign}(x_1)\cdot\mathrm{sign}(x_2)$, fresh batches each | |
| step (infinite data), MSE loss. Width $N=2048$ matches what the post | |
| appears to use. Adam was the right call over plain SGD: with mean-field | |
| scaling, per-parameter gradients are $\mathcal{O}(1/N)$, and Adam adapts | |
| without needing the $\eta \propto N^2$ rescaling SGD requires. | |
| </p> | |
| <div class="lab"> | |
| <dl> | |
| <dt>architecture</dt><dd>2-layer, width 2048, hardtanh, scalar output</dd> | |
| <dt>scaling</dt><dd>mean-field (÷N) — vs. NTK (÷√N) as control</dd> | |
| <dt>data</dt><dd>x ∼ U([-1,1]²) · y = sign(x₁)·sign(x₂) · infinite</dd> | |
| <dt>optimizer</dt><dd>Adam, lr 5e-4, batch 4096, 60 000 steps</dd> | |
| <dt>runtime</dt><dd>~47 s / training run on a single 4090</dd> | |
| <dt>code</dt><dd>git rev <span class="mono">e05b0c4</span> → <span class="mono">8b745fc</span></dd> | |
| </dl> | |
| </div> | |
| <h2><span class="num">§2</span>The cloverleaf, three seeds, one control</h2> | |
| <p> | |
| Each panel below is a scatter of the 2048 incoming-weight vectors | |
| $(w_{i,1}, w_{i,2})$ from one trained model, coloured by the sign of the | |
| output weight $a_i$. The mean-field runs (left three) collapse onto the | |
| same four-pronged star — peaks along $\pm w_1$ and $\pm w_2$, with the | |
| radial extent giving an indication of how saturated each neuron has | |
| become. The seeds visibly agree in <i>distribution</i>, even though no | |
| individual neuron is in the same place. NTK is the same architecture, | |
| same data, same steps — only the output scaling changes — and the cloud | |
| barely escapes its Gaussian initialisation. Width 16 simply doesn't have | |
| enough neurons to populate any structure. | |
| </p> | |
| <figure class="wide breakout"> | |
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alt="Cloverleaf comparison across 3 mean-field seeds, NTK, and narrow."> | |
| <figcaption> | |
| <b>Fig. 1</b> · Incoming-weight scatter $(w_1, w_2)$ for each trained | |
| hidden neuron. The four mean-field panels at width 2048 produce the | |
| same four-pointed clover; NTK does not; narrow can't. | |
| </figcaption> | |
| </figure> | |
| <figure class="breakout"> | |
| <img 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Co9Pb2mpsbf37+zs1OtVre3twOAVCrlcrlbtmypq6ujKEqn09E0DQAhISGswUWn05EvMh+W/E66BALBzp07AaCqqmq0S9Vqtb29vcuXLydmHfMBe3t7zVtsGRk1LQRBkIlj6O1/v0h5rb4TAMAPpL89tXXnAwujeDgzCAIAXC43JSVlx44dxcXFxI1Jo9EEBgYSx+v4+PiwsDCapgUCQX5+vvm5ABAREUE+njp16tKlSwCQnZ1t/kXmwxp3seWPR6uDHB8fv3fv3qNHj+7YsePQoUNCodB8QIstY46MmhaChnQUEzIpNevP+Z8bevpj+WHLEyNbb8Z+9EHtscIvUNnC1TSDeHTVokdXOTCxFtkWjI+PJ5pWYmKiRCIRiUREkSKeTwKBIDU1la1QPG/ePPNxMjMzMzMzR/sW82FZcxefz8/Ly2MYBgAuXrxI/LrUanVISAjr/jUwMCAUCoVCoUwmKy0tFQqF5gNGRUWZtAQHB5uP7AjQTj6zwUKeKCZkYgwPDb9fpDT09G/ZtvzxzGULo3in5X/buvMBADhW+IVeR+MU4WpCAICiqIKCAlan4fF4e/bsWbt27datWxMTE+VyuUgkqq+vT0tL27x5M0kUQHYPx4X5sGxXeHh4cnIyUaSio6NJo0gkam1tZY+Ry+VpaWlisVgikRDV0HxA8xaLIxvfOHGHpyjKYq6HcTDiKixdunTE/fjDH/4wgqCYkPHz2ceqHLHs9Ps1JmJqatTmiGX/eEuBU4SryWnR6/VqtdqhXzE4ONjc3GzcYjAYtFot+7G5udnk4+DgoFarHRwcvHHjBnuuwWAwGAwmg7O95t/CDmvSZTBCq9WmpqaajKnVak2Gsnid5i3GI5scxmLS1d/ff/nyZds1EDtXmJ5evdsNK0wPDw+PN4UagmJCBvqZvJc+mhfqu+M3D7Iu8KyY3iu6VKvU4B4irianpaurq7e3d/78+c55eSMjI3fccYfjxmcYZmBgYBprPg4MDDQ0NMTExNiogeDTf2aD6ZJRTMgEqKxoBIB1j8cZRxqyYvrphlgAOPVezfDQMM4VriZkvIyZI36SOG1pbdS0EARBAAAG+pmKj+vmhfqOZrLyme0lfGRpe0tPQ10HTheCIKhpuTUvvvgiTgKKCRkXrEHLipgEwkUAIC/7HqcLVxMyXkjGLAQ1LRfhlVdewUlAMSG2Y8WgZSwmTy9OLD+svaUHgxBxNSHjxTgqEEFNC0EQ96KpUQsAopS7xjxylWgJAFRXqXHSEARBTQtBEMQmvqy4BgARiwLHPDI41G9eqG/Fx3XoF4+4ITRNs6WgCTKZTKFQ2GVwlUpVWFhYVFSk0+nEYrHFYyx2KRQKe12D9ZEZhlEoFOSWSWpT1LTcF0yXjGJCbMfQ23+tvjOWH+bpxbFFTIk/WQIA6BePq8kNIbWfs7KyWN1IIpEcP37clnONa+lYJCsrKyAgYN26ddZVvbKyMpNGjUZDUtXbHZORW1tbc3JympqaDhw4IBQKJ6lsoaY1s8F0ySgmxHZqv9EAwPLESBvFRMUGw20zGIKryT0hZq3y8nJjHUgmkxUWFrLld4qKisRiMbFRAUBDQ4NMJquoqBCLxeY2IdZURtO0t7c3WwPHfFjjbyQ2sK6urtGus6KiQiqVSqVS9nTzAS22WBw5JCTk5MmTO3fuPHbsGABUV1ejpoUgCDI25z656uPrFb4wwMbjPb04UdFB1+o7cQMRcU82bdpUXl7OMMyBAwd27doFAAzD8Pn8pqamuLi4zZs3E51Jr9eTGjipqakA0NXVJZFISktL169fv3v37oaGBuMx+Xw+ADz88MM8Ho9YzkYblkC6yLeMlk1NoVDs378/OTk5OTnZYDBYHHC0Fosjs9WHdDpdZ2dncHDwZKYRK0zPbPbs2YOTgGJCbMHQ22/o6Rc+stQ4W+mYYrp3xYJr9Z3qG3rMF4+ryTnp+vqU9sxfJ3z6nIc2z3lw02i9Gzdu5PP5cXFxAoEgIiKisbGxuro6KChow4YNAJCcnFxeXk5RVHp6ek1Njb+/f2dnp1qtnjt3LgBIpVIul7tly5a6ujqKonQ6HU3TcDsHRHh4ONFjyBeZD0t+J10CgWDnzp0AUFVVNdqlarXa3t7e5cuXk6Sm5gP29vaat1gfmWEYsVickpJCrnbCoE1rZoPpklFMiI2QrcOo6KBxiWnR0iAAuPyNBicQV5MbwuVyU1JSduzYQQxaAKDRaAIDA5VKpVKpjI+PFwgENE0LBILu7m72rI6ODnIuAERERJDGU6dOFRQUFBQUGB/JYj6scReP98//c9hfTIiPj9+7d+/Ro0f5fH5FRYXFAS22WBmZYZht27YBwKuvvjrJaUSbFoIgboHquzYAsH3rkOAz22teqO9X568npd09mjEMQaYR/+Xr/Jevc9z4ZFswPj6eOIwnJiZKJBKRSEQUKZqm5XK5QCBITU01968yJjMzMzMzc7Re82FZcxefz8/LyyPOXhcvXiR+XWq1OiQkhN3jGxgYEAqFQqFQJpOVlpYKhULzAaOiokxagoODzUc2UbPefPNN9ltQ03JTMF0yigmxhYF+hkQdWtGWRhPTsvsXfvRBLW4g4mpyTyiKKigoYD/yeLw9e/asXbs2Ojq6vr7+hRdeEIlEeXl5aWlpWq2WoigAILuH48J8WOJBBQDh4eHJyclCoRAAoqOjSaNIJJLL5eymnlwuP3z48JIlS8rKyk6ePGlxwNTUVPMW85EJp0+frqysBIDY2FgAyM/PJy5oE2TEVVi6dOmI+/GHP/xhBEExIWNRd7k1Ryyru9w6ATH19vTliGWffazCacTV5CTo9Xq1Wu3QrxgcHGxubjZuMRgMWq2W/djc3GzycXBwUKvVDg4O3rhxgz3XYDAYDAaTwdle829hhzXpMhih1WpTU1NNxtRqtSZDWbxO8xbjkY0bm40wuYX+/v7Lly/broGgTQtBENen4fsOAAhbEDCBc31me/n4elV90SRMWoozibgJHA7HxA2cy+WSfTfW1GTcSz4SbycPDw82pZbxKebnmn/LaF3G43h6er7zzjvmVjGLXlzmzuzm92V+lsnNThJ0O0AQxPX56vz1eaG+PrO9JnZ6bHyooaff0NuPM4kgzqAF2lENmgJQ05rZYLpkFBMyJqRK9LL7F05YTIvvmgsAmmY9TiauJmRMxswR726gpjWzwXTJKCZkTOoutwFAxOLACYuJ1EkkW5AIribEOg4qmIOaFoIgiJNC8jvMnTd7wiN4enFIrgecTARBUNNyLzBdMooJsc7w0PC1+s6o6KAxs2FZF1PMj0Ph9kYkgqsJsUJoaChOAmpargOmS0YxIdbpaO8FAOqe4EmKiSSXb75+C6cUV5M7QIoxG9cflMlkCoXClnNbWlqsH6BSqUhdZ51OJxaLLR5jsUuhUNh4DePFZGSGYRQKBamTTYoIoaaFIAhimaYGLdjgpDUmIWF+cNvlC0FcHlL7OSsri9WNJBLJ8ePH7TJ4VlZWQEDAunXrrKt6ZWVlJo0ajcZBTmAmI7e2th44cKCrq6u0tJTP509S2cJ8WjMbTJeMYkLG+O/ZZict62Iirlq1Ss3jmctwVnE1udEKUqkoiiovLzfWgeRyeVNT04YNG0huqqKiokuXLi1btmzdunU8Hs/Pz08mk/n5+ZWWlmZkZMTHxxsXtGFNZTRN83g8tgaO+bDG33jkyJGAgAAA8Pf3t3idFRUV586dA4CtW7eS080HtNhiceTw8PBjx44BQGZm5tWrV+Vy+WRyxKNNa2bzyiuv4CSgmJDRsN1JyxYxoasWriZ3Y9OmTeXl5QzDHDhwgBSZZhiGz+c3NTXFxcVt3ryZ6Ex6vZ6URyTqSF1dnUQiKS0tXb9+/e7duxsaGozHJGV2Hn74YR6PRyxnow1LIF3kW0bbO1YoFPv3709OTk5OTjYYDBYHHK3FysgymaywsFCr1SYmJk5mGtGmhSCIy9Ld1Qe2OWnZQlR0UMXHdR1tPQE8Ls4t4iT8o7bs3e8+nPDpiQvv+7XgqdF6N27cyOfz4+LiBAJBREREY2NjdXV1UFDQhg0bACA5Obm8vJyiqPT09JqaGn9//87OTrbOtFQq5XK5W7ZsqauroyhKp9ORPbiQkBC4naidLSNtPiz5nXQJBIKdO3cCQFVV1WiXqtVqe3t7ly9fTpKamg/Y29tr3mJ95LNnz169ejUwcLK+B6hpIQjishAH9sk7aREC5/oAQMP3HdExwTi3iJPws9iUn8WmOGhwLpebkpKyY8eO4uJi4sak0WgCAwOVSiUAxMfHh4WF0TQtEAjy8/PNzwWAiIgI8vHUqVOXLl0CgOzsbPMvMh/WuIsts2Ox3g45Ze/evUePHt2xY8ehQ4eEQqH5gBZbrI9MSmuLxeLi4mKikKGm5Y5gumQUE2IF4sA+xzYT1JhiIgUQa6tbfvrYPTi3uJrcBLItGB8fTzStxMREiUQiEomIIkU8nwQCQWpqKmvNmjdvnvk4mZmZmZmZo32L+bCsuYvP5+fl5TEMAwAXL14kfl1qtTokJIR1/xoYGBAKhUKhUCaTlZaWCoVC8wGjoqJMWoKDg81HJpBGDofDMMzVq1eNuyYA+mnNbDBdMooJscL1q9p5ob6eXhx7iYkUQBzoZ3BucTW5CRRFFRQUsDoNj8fbs2fP2rVrt27dmpiYKJfLRSJRfX19Wlra5s2bKYoCgPb29vF+i/mwbFd4eHhycjJRpKKjo0mjSCRqbW1lj5HL5WlpaWKxWCKRENXQfEDzFosjE1pbW2NjY9PS0mJjY3k8XnJy8qQmccQxNDc3j7e3ubl5cHBwXOMYs3Tp0hH34w9/+MMIgmJCLNHb05cjlp1+v8aOYvpWoc4Ry5oatTi9uJqmEb1er1arHfoVg4ODJu9fg8Gg1WqN384mHwcHB7Va7eDg4I0bN9hzDQaDwWAY7c1u/i3ssCZdBiO0Wm1qaqrJmFqtdjTVwvg6zVuMRza5X4tqycjISH9//+XLl23XQO4YGRmxr/6rUqmysrJIXOi+ffuIhmu9d+vWrZWVlUQtZWM7rY9jUe82jlZAEMTNuXFNd6zwiy3bltvRrUqvo1//06fCR5YKk5biDCPTRVdXV29v7/z5893z9hmGGRgYIJuA08LAwEBDQ0NMTIyNGoj9dw+zsrKSkpKUSmVSUhKb9Mx67y9/+UtjU6Et4yBoSEcxIda5Vt8JAHODfe0oJhJ1eKNRh9OLqwkZDUdXmOZwONOoZk0AO2taDMOoVKoNGzZwudwNGzaQfBVj9gqFQpM0ZdbHQRAEGZMr37awupEdiYoOIjocgiDINGhaJEEZUZvIT+OUZdZ7bR8HYcF0ySgmxCLDQ8PtLT2x/DC7i2nhIh5g/lJcTcjokIxZiKM0LWSKwXTJKCbEIiRn6YLIOXYXEyk13dHWg5OMqwmxiHFUIGJ/TWvx4sUAQJJqkJ+kxZZe28dBEASxjn1zlhrD5i/FSUZcGJqmZTIZmyJLrVZfuHBBZoZWq5XJZOQYhmHYmoYTRqfTicVi8hM1LctwOByKokpKSmiaLikpEQgEJAkHEdhovbaPgyAIYgs3m26BzTlLx4XPbC8AuN6gxUlGXBhSkfC5554jH5VKZXFx8dmzZ8+ePXv48OG8vDzye2trK1u4cNu2be+9994kzSI0TZeVlbnYZNp/93Dfvn1nzpzh8/lVVVVSqZQ0SiQSkgLfYq9YLCZJHEQiEZvNweKRiAmYLhnFhFjkeoPWx9fLxpyl4xVTLD+svaVneGgY5xlXk8vDmqy8vLwKCgoKCgq2b9++cuVK8ru/vz+rZgHAm2++yeFwjGvpVFRUSKVSqVRKzGM0TVdUVIjF4qKiInJAUVER+cgmhQcAb29vkpadmNbIKQqFgo2No2m6sLCwqKhIpVKxhjc30rQoijp58qRcLj927BgbUUjSyI7Wm52dLTfCyjiICRjwjGJCzCHu8JFLAh0kJuL+RVzBEFxNrq3XsvVqrGCsZoFRlgeFQrF///7k5OTk5GSDwcAwzNq1a8+dO5eRkaHX61aD930AACAASURBVMkxer2eZHVPTU1lByQWNfaX0tLS9evX7969m8TG0TTN5/PJuWlpacSO48w4akvORDey/pHH441WNhJ1LARBxktHey8ALL3bUXWgiftX8/VbATwuzjYyvbSUnWo89NcJn75gy+aFT2warTchISEwMPD06dPWB6msrNy1a5dFJx+tVtvb27t8+XIul6tQKAIDA0mF6YSEBHJAenp6TU2Nv79/Z2fnaNYpqVTK5XK3bNlSV1dHUdSVK1cEAgEp+VxVVeX8MsLYwxn/DwdOAooJMaG9pQcA5oX6OkhMxP2LuIIhuJpcfsLz8vK6urqsHFNcXHzgwIHCwkLykd09jI+P37t379GjR/l8fkVFhUajWbJkifGJNE0LBILu7m7r10DylEZERJCPGo2Gtc6MZqZxKtDNfGaTk5ODzx0UE2JC3eU2GL87vO1i8vTi+Ph6oVM8riZnIDRlXWjKOseNn5CQEB0dffDgwZUrV1o5pri4OD09HQB27typ0WiIsjUwMEDqN8tkstLS0uzsbIlEQgxUDMNwOBy5XC4QCFJTU8fla5WYmEjGAYCLFy8Sjy7UtBAEQaaO61fH7Q4/XiKXBNYqNcNDw7M8cGcAcXGkUinxtLaukLHK1saNG0mjXC4/fPjwkiVLysrKTp48yePxdu3atXbt2ujo6MrKSpVKJRKJ8vLy0tLStFrtmNWNWdhxOjs7g4KCnH8C7V9herpwzwrTw8PDs2bhgx7FhPwfA/1M3ksfxfLDHs9c5jgxfXX+2kcf1O7+j5+gqxaupqlnCipMMwzT2trKukqr1Woul0u26mia7uvrI7+bHKbT6Wianj9//h133GHcYuxyTU7h8Xhs7UK1Wh0SEtLd3e3n5wcAra2tISEhZFjj8Wmahts7iTRNe3p6DgwMrF279sSJE1Ps0j39FaaRqSQ3NxcnAcWEGHNLR8OE3OHHJaaQ+f6AmeJxNbkuHA7HWH0JDw9nPaJYlcv8MB6PFx4e3tLSYtJiPrJxiejw8HAOh8Pj8TgcDullhzUen8vlsmfx+fxt27bx+fzk5GTnj5zD3UMEQVyKibnDjxeSKV7T3BUdE4xzjiBTDEmjFRISMiOymqOmhSCIS+G47PDGkEzxNxp1OOEIMi3MoCRQuHs4s8EYHBQTYsIEssNPTExR0UHX6jtxwnE1ISYY54hHUNOa8WC6ZBQTYszEssNPTEwLF/EAwNDbj9OOqwkxhs0Rj6CmhSCIq0Eq5JBqOY6GF+QDANoOA047giCoabksaEhHMSHGNF+/BbcDAx0tJqLPtd7swmnH1eR6kNLObEJRtVqtUChsPHcyu4dSqZRkcxgNnU4nFouNWxQKBbk2hmHYCzY/zGQQhULBFs8mMAxTUVEhk8nIBeh0OjbrPWpabg0a0lFMyL88QDsNcDsw0NFi8vP3ZnU7BFeTqy0lnU4ikTz33HPko1KpPH78uI3nTnj3UKFQXL161TgBhI1fR76xtbWVzbBK03RZWdlopwgEgpycHFLEmlBRUSEUCs+dO9fU1CSXywGAx+OdOXNmXMnrUdNCEMT1IcGAJDDQ0czymDUv1Pf6VazJg7gyJoafoqIisVhcVFSk0+ngtumroqJCLBbfvHmT/J6bm0sSlhYVFRUWFpIjFQoF0VpUKhUxQel0uoqKChM1eteuXdYP9vb2JuV3aJouLCwsKipiazIqlUpywaz5jVyYQqFgGMb4i1Qq1RtvvGHcsn///iNHjmRnZ+/cuTM1NZU0bt++/dixY6hpuTt79uzBSUAxISzX6jujooOmTExzQ3wNPf0D/QzOPK4ml4SUlzZWU/R6/dNPPw0ARB0hpq/S0tL169f/8MMP5PfNmzdzOBw+n6/X6wFAIBDodDqNRlNQUAAAWVlZ6enpDMOcOnXq3LlzJgpQVFQUAFg5mHwjwzB8Pp9cD5vMluxa8vl8MggAkAvbvXt3Q0ODldvU6XQqlervf/97YmJiUVERe798Pv+tt96a/DRiPq2ZTW5uLnotoJiQf74DdDTcDgmcGjEtvTu4VqmhDQMOrbGI4GqyAikMNeHThY8sFSYtHa03ISEhMDDw9OnTbEt6enpNTY2/v39nZye7s0aKRpOPUqlUr9fX19dTFLVz504AaGxsrKmpYctCq1QqgUDQ0NDwySefEAsWgZxOss+PeXB1dbVAICDjV1VVkcbg4GC4nWeL+FqRC9uyZUtdXZ2Vuoo1NTUAEBkZeeTIkaysrAULFgiFQgAICQkhQ413Q9MEtGkhCOIikMDDsAX+U/aNJBM9umohLgwxa5EdOpqmBQJBd3e3yTHGigj5XaPRLFmyhLQsWrSopqaGx+MFBQUdOXIkJSVlzZo15eXllZWVxqUDjQcZ82CNRsNWBGJ/MYeMGRERYf0e4+LiAOCJJ56gKGr79u2lpaX/fKR0dwOAp6fnJOcQ/w+b2bz44os4CSgmhNB16wcAmBvsO2ViIpnobzbdils2H+cfV9O0sGJV1IpVUY4bPyEhITo6+uDBgytXrpTL5QKBIDU11bqfeEhICGuU8vT0PHPmDDFDJicnHzhw4NChQyEhIWlpaRRFmWhXAKBWq4lRyvrBfD6f3da8ePEi8dyyonJZhyh2DQ0NFEWdPXt20aJFpJ2m6aCgoMkX/EGb1szmlVdewUlAMSGEusttcDskcGrERDYNrzegUzyuJldGKpV2dnYCgEgkqq+vT0tL27x5s5XNuNbWVh6Pt2vXLj6fLxQKV6xYER8fDwAPPvggAMTFxZFzk5KSTE5MSUkhXu1jHhweHp6cnCwUCoVCYXR0NGnkcrkpKSkURRUVFVm/I4qiSJQiRVHE5Z/sGyYmJl69evVXv/oVOaykpGTLli2Tn0C0aSEI4iJcv6r18fWa5TGl/0DG8sNqlZgRG3E1QkJCSLIDotbI5XIul8vlci9cuEBKO3d3d/v5+QEAe5jxKQCwc+dOorKwtqjExES5XE4sT5WVld7epv8UicXi5557jvjaj3Yw+y3Z2dnmGbMKCgpeffVVcm3sxbCpH1iMr5N8BUVRJ0+e1Ol0rGGMYZi33367vLwcNS0EQRAAgOGhYUNPfyx/qguuLYicU6vU6HV0gINrWiPIVMLhcIxLOJv/zmokbJfJKfCvrlcmB1jc6QsPD3/++eeJB/poBxu3W3RU53A45Hgrh41Wndr4iwYGBl5//fVJ+sKjpuUKYAzOjBPT8NBwR3tvU4P2Tq7noqVBU5P5yR2YfB2eia2mOYFcAOho60FNCx96CGEyOeJJ0J8zwOVyExIS7DIU+mnNbDBd8swS041ruv/Klf8l//OPPqj94Lhy/8vlb/35y+GhYZyiydPR1sPqPVO5mogDvqYZa/LgQw/5J1hh2gS0aSHIFFFz6eYHx5UA8NPHYpfeHdzd1ff1heu1Ss2h/zr3i2fuR+PWJLmlpWESgYcThpiyOtt7UQQI4iYMDAyMKyDxjpGREde4c4qiVCqVu8l7eHh41iw0TM4AMamb9McKv/Dx9Xpqd6LxNlPFmbqKj+t8fL1+s0c0xa7cLsZ7RZdqlZrsV9dNeBonvJre+vOX1+o7f7//UZQCPvSmhr6+vmvXrkVEREw+AYEjGBkZueOOO1z4L1Cj0fj6+s6dO9dGDQRtWjMbTJc8U8Q0e+QBAHhG8pCJ7YpkZ674uO7Mycs/fewenKsJc/2qdl6o72S01QmvprnBs6/Vdw70M5gpHh96U4O3t/ecOXOampqc8/K0Wm1gYKALz7+Pj8+cOeNwCcXnAoJMBYae/scy+Ba3CB8ULbnRqPvq/HX+/QuDQ/1wribyX+bQsKGnP3LJ9Dzc50fMgfPXb+loFB8yZYSEhJBaMU5ITk4OasPG4G7FzAbTJTs/N67poPveWH7YaGnEZ3nM2pjJB4Civ1xE7/iJQQIPl94dPC2ridTkaW/pQUHgQw9BGaGm5WpgumTn59R7NeD3TerPf2zlGJ/ZXo9l8A09/bXVLThjE4AEHvrPuXNaVtNsXy8AuNmE1Q/xoYegjFDTQpCp5cY1HTF1jOnBExsf6uPrdebkZTRrTQASeDjhOjyThGwKd7Rh+CGCIKhpIcjUcuq9GluXosespLS70aw1MZqv34LbCRemhajooGv1nSgIBEFQ03I10OvQmSEGLeEjS20UE5q1JkytUkOcpaZrNc0Nng0Aht5+lAU+9BCUEWpaLgWmS3ZmKj6uA4D7HoiwUUyzPGY9uGaJoadffUOPs2c7A/0MAMwN8Z3G1TQ/Yg4A9PagpoUPPQRlhJoWgkwJht7+a/WdsfywcSV/v3f5AlZFQ2yENgzApAMPJwmpt4jhhwiCoKblauzZswcnwTmp+qIJAJYnRo5LTJ5enFh+2LX6TtyHsh3ipDXJwMNJriaujydg+CE+9BCUEWparkdubi5OghMyPDRc9UWTj6/XwijeeMVElDOiqCG2oOs0gD0CDyezmkhsKYYf4kMPQRlNnaalVqvH22veyDCMWq1mGAblhMws1Df0hp7+B9csmcC5C6N4Pr5eVV80oV+8jZDqztMYeEggxkgUB4IgDte0VCpVWlqaSCRKS0szL7hosddio0wmi42NFYlEsbGxMpkMRWURTMXrnFz+RgMAsfeGTUxM6Bc/LmqVmqjooGlfTUHzMPwQH3oIymhKNK2srKykpCSlUpmUlJSVlWVLr3kjwzASieTQoUMqlerQoUMSiQQtWxbBVLxOyEA/89X56/NCfVlf+PGKiahoRF1DxpxtuJ1kYXpXEy/IBwC0HQYUCj70UEY4CQ7UtBiGUalUGzZs4HK5GzZsUKlUxhqSxV4rp8yePZv9iSAzhaZGLQCIUu6a8Ag+s73mhfp+df46biCOCQk8JEkWphcSfth16wcUCoIgDtS0GhoaACA8PJz9SVqs9Fps5HA4xcXF6enpaWlp6enpxcXFHA4HpYXMCL6suAYAEYsCJzPIsvsXAgBuII4JCTycfNrSyUPCD+sut6FQEARxoKZlR3JyclJSUrZv356SkoJp0EYDU/E6GwP9zLX6zqjoIONChxMQE24g2ghJrEBqPE/vavpn+GErptTChx7KCGXkSE1r8eLFcDuKkPwkLVZ6LTYqFAqVSiWVSlNTU6VSqUqlsh7M6LagDupskK3D+4VRkxQTbiDaCEmsMK70sI5bTbH8MExeig89BGXkWE2Lw+FQFFVSUkLTdElJiUAgILt+MplMrVZb7LXYGBMTAwBXrlxhf/J4PJQW4vx8q7gJk946JOAGoi0QC6KTXAxx1dLraJQLgiCO0rQAYN++fWfOnOHz+VVVVVKplDRKJBKlUjlar3kjl8vdtWtXeno6RVHp6el79uzhcrkoLXPQSOtUDA8Nk1LHxluHExYTbiCOCUmpYJfAQ7uspjmBXADo7upD0eBDD2WEOFDToijq5MmTcrn82LFjxMMdAORyuUgkGq3XYuPOnTtVKpVcLlepVJmZmSgqi6CR1qkg9idii5q8mHxme/n4etVWt+DEjgap6GyvwMPJr6a5wb6A4Yf40EMZoYwcrWkRWIWJ/WhslDLpHW8jgjgnJEW4HUsd3/dAhKGnH3ejRoM4RTlD4CGBVATC8EMEQaZC00KmBkzF61SQWofmZWEmLKa74kLwzW0FEng4x051eCa/mmZ5zPLx9cLwQ3zooYxwElDTch0wFa/zoNfRhp7++x6IsKOY5s6bDQCXvryB02sREnho4hU3vaspcklge0sPRoziQw9lhKCmhSB2hlie7BsHN8tjFkkcQGrOICZcq++M5Yc51SWR8EN0ikcQBDUtBLEzqu/aACB8YYB9h/1xwny4naYLMYYEHpK6zs4DCT/saMMNRARBUNNyCTCY1kkYHhomiZ1mecyyr5jCFgQAQMP3HTjJJpDAQ1LX2XlWEwk/vKXFIAZ86KGMENS0XAIMpnUSSH4H6p5gu4uJJIvHXA/mkMBDslvnPKuJhB+SaowIPvRQRghqWghiH+ye38GYmB+HYq4Hc4hjHKnr7ESPVI9ZPr5e16/ibi+CIKhpuQRopHUSrnzbAgABo6QbmKSYiJc9mklMIMkU7BV4aMfVFLkk0NDTj+GH+NBDGSGoabkCaKR1Bgb6mfaWnhWrIh0kppAwP8CsWma0t/TYN/DQXqsJww/xoYcywklATQtB7AkJDFx811wHje/pxYmKDqpVatBMwkL2Up0t8JCA4YcIgqCm5Trs2bMHJ2HaIYGBJEjQQWIivvYd7b042wRiMbJj4KEdVxOGH+JDD2WEk4CaluuQm5uLkzDt1Fa3+Ph6+cz2cpyYIhYHAkBTA/pZ/xNSxdmOgYd2XE0YfogPPZQRTgJqWghiNwy9/Yae/tj4UId+CynLQ5KjInDba43oNE73VMXwQwRBxqVpFRUVyWQymkZLOIJYQNOsB0c6abEv76jooGv1neiqReho7fHx9bKYJ9YZwPBDBEHGoWn5+/vn5eXx+XypVKpSqXDKnAoMpnUCTasLrDpp2UtM6KplTHtLT+SSQKddTRh+iA89lBEyDk0rNTW1oqKiuLj46tWraWlpaWlpaOJyHjCYdtq58u0YTlr2EhNx1SKJ0d0cEnhoXyct+64mDD/Ehx7KCBmHpgUAHA4nISHh2LFj+fn5KpVKIpHw+XyZTMYwDM4g4s6QTFqOdtIiEFctzKoFt21FRJtxTjD8EEGQ/1OibDmIpmm5XH748GGVSpWSkpKRkaHRaPLy8vz8/IRCIU7iNIJG2umlVdMNAPMj5kyBmIirVq1S83jmMnef9ptdrDbjnKuJDT9csSoKlwk+9FBGbo5NHvF8Pj8vL2/Tpk1KpbKgoCAhISE1NfXZZ5/t7u7GGZxe0Eg7vZByh2NuY9lLTAsX8eD23pk7QxIo2D3w0I6rCcMP8aGHMkJYbLJpFRcXJyQkmDRu3LgRpw9xc6yXO7Q7UdFBFR/XNV+/NWXf6Jxcv6p15sBDQuSSQJLW38mvE0EQRzP2IyAmJiY4ONi4hXjEc7lcLpeLMzi9YCreaeSfTlo2lN6zl5iwACIADA8NG3r67R54aPfVhOGH+NBDGSG2alrHjx9XKpXGLRKJpK8PHx9OAabinUaIk9bSu4OnTEyeXpx5ob61So07TzvRXeweeGj31YThh/jQQxkhBGu7hzRN63Q6nU7X1NSkVqtJY0lJSVBQEI/Hw7lD3F3TutnloFe+FWJ+HNre0qPX0W67gUh0F2cOPCRg+CGCIGNrWnK5XCKRAEBlZeWBAwdII0VRe/fuxYlzEl588UWchOmC1MaxReOxo5iIq1ZHW4/balpEd7F74KHdVxOGH+JDD2WEEKztHqampqpUqj179hQXF6tuc/LkSczs4Dy88sorOAnTwvDQ8LX6TluctOwrJuKq1fB9h9vOPAk8dISiad/VhOGH+NBDGSFjaFoMw6jVaoZh1q1bFxwcrP5XMGcp4uaQqjhTvHUIAJ5eHB9fr9rqFred+etXtfNCfWfEpWL1QwRBwMruYWtrq0gkksvlBQUFZWVlJr1yuTw8PBynD3Fbmhq0cLtCzhQTGx/61fnrht5+6yWAXBLHBR46ggWRc2qVmu6uPjfPyoEgbs4dIyMjrnEnFEVhAWxkynjrz19eq+/MfnXd1GdLqr/S9vabX2/Ztjw6Jtjdpl2vo1//06ePZfDjls13/qt1Z0khiFthXQPBlHozG0zFO11cq++Mig6yUc2yr5jCFgSAu7pqkcBD/zl3zojVhOGH+NBDGSE2aVpqtVqhUAAAwzBFRUVSqZTN+IAg7gmph0Nq40w9PrO9fHy9rje4o6u1prkLHFCHx0Gw4Ye4ZBAENS1rFBQUXLlyBQBOnz598ODBq1evPvfcczhxTgKm4p0WyLszKjpousQUuSSwvaVnoN/tAlM623vBYeWP7C4mDD/Ehx7KCAEbdw9jYmIAIC8v74UXXjh27JhKpdLpdDh3zgCm4p0WbjbdAoDAuT7TJSaSmP6W+5WarlVqHBd46IjVhOGH+NBDGSFja1o8Hu/KlStqtbqzszMxMZE00jR6HiDuS211i4+v1zSG/pHsEk1utoFIbHhzQ3xn0DUTnRirHyIIalrWePDBB3Nzc0UiUUpKCo/HI9YsrMbjJGAq3ml534830YDdxeSeDkC0YQBsKzTpPKuJOO9j9UN86KGMUNOyhlAoVCqVxcXFr776KgDQNJ2fn8/ljuEnYd1r3mKvxUaapjFRqhUwFe/UQ/bsxvW+t7uYZnnMiooOcrdS00SzdFDgoYNWE9GJMfwQH3ooI9S0rMEwTHNzc2Vl5W9/+1uxWFxQUHD27FkrfloqlSotLU0kEqWlpZmnl7DYa7GRpunCwkI+ny8SiWJjY1FUiJNA9uymPju8CSTyUe9Orlq6TgOMxz3OGSDO+xh+iCCoaVmjuro6LS2tqqpq2bJlq2/j7T1qlHVWVlZSUpJSqUxKSsrKyrKl12LjkSNHGhsb5XK5SqWqrKxEUSFOAnlrTnuiARL56FbbUiTwcMZlxp8X6ovhhwjizoydI14sFi9atGjnzp22DMcwTGxsLKnVo1arRSJRbW0th8Ox0gsAFk9JTEx84YUX/Pz8li9fPuZmJWCOeGSq+OPzH0ZFB/3imfun9zIMvf37Xy5fsSryp4/dgzPvzLxXdKlWqZmWcgIIgkwNk80RPy7n94aGBgAgJRHJT9JipddiIwl1lEgkR48e5fP5UqkUBWkRTMU7xUwsZ6kjxORu+Uv/GXgYPHvGrSYMP8SHHsrIzeGMeURycvLu3bsBYO3atT4+//SQCAkJYS1VjmPPnj2ZmZnE0CUWi22xbCGIQyG7dbbnLHUokUsCa5WagX7G04vj8jNPAg/nR8yZcVfOhh9inWkEcU/GtmkdP368s7PzwIEDxGmd0NraavHgxYsXw+0oQvKTtFjptdhIjFsPP/ww3DZ0kTz1iLkyipMwlZBqg+N1ynaQmNwqfylxj3Nc2lLHiQnDD/GhhzJCTWsMCgoKVGYQ7cccDodDUVRJSQlN0yUlJQKBgJi+ZDKZWq222DvaKQKBoKSkBABI1cX4+HiUljmYineKud6gnUDOUgeJiagdbpK/lOTln+3rNeNWE4Yf4kMPZYSalp3Zt2/fmTNn+Hx+VVUV618lkUiUSuVovRYbpVJpY2MjRVG7d+/Oz8+fgs1KBLHOQD/T3tIzrpylDmXuvNnu8wrvaJuRgYesTozhhwjitowdewgAKpWqvLy8sbGxoKBArVY3NDQIhULrp6jVamO7l1qt5vF4rKOVSa+VRp1O5+fnZ4ua5Z6xhwMDA56envh3PDW0tXT/Jf/zxzL4ccvmO4mY/pxf0d7S8/v9j7r85E9B4KHjxIThh/jQQxm5NpONPVSr1WlpaXq9vqysDAB4PN6OHTvGrHtoojOFh4cb+7Nb3Hy02Mjj8dCaZQVMxTuVTDhnqePEFPPjUHCD/KWG3n4Yf8in84gJww/xoYcycmfG1rRKSkp27dqVnZ1NPhKFyUqOeARxVZwkZ6kxYQv8wQ3yl/b29AMAL8hnhl4/Vj9EENS0rKHX6yMiItiPxJqFFaYRN6RWqYmKDnKqDaCwBQFwOyLShWlv6QEnqIA0YTD8EEFQ07JGcnLy4cOHSf4FmqYLCgoEAgGmtnISXn75ZZyEqWFiOUsdLSbiIe7y+UvrLrcBANfHc4auJgw/xIceygg1LWskJCSsWLFCJBIBAJ/P/+qrr1588UWcOCcBU/FOGZPJWepQMcXyw9pbekgKdZed/NYeH18vRydodaiYMPwQH3ooI7fFpidXdnb2Cy+8UF1dHRwcPFomLQRxbSaWs3QKWHp3cK1Sc0tHB4f6uerkt7f0xPLDZvQtzA3xbVdqhoeGMfwQQdwNm9a8SqV65513ACAkJASnzKlAI+2UMbGcpVMgJpfPX0r2bafAScuhYsLwQ3zooYxQ07JMUVFRYmJiWlpabm5uenp6bGxsYWEhwzA4cU4CGmmnhknmLHWomFw+fynZt50TyJ3RqwnDD/GhhzJCTcsCKpUqNzf32WefraysVKlUlZWVhw4devvtt4l9C0HcB1JbkJglnG4Ne8yaF+pbq9S47ORraQCYG+w7o++ChB9qmrtwNSEIalr/x9///neKojIzM0lOBx6PJxQKt2zZcvDgQZw4JwGjE6aGCecsnRoxuXb+UmKuI+F7M3c1kevvbO/F1YQPPZQRalr/h06nS0pKMmkUCASdnZ04cU4CpuKdypf9hHOWOlpMrp2/tFapIb5oM301RUUHubDpER96CMpoIpoWAKxdu9akJT4+HjBHPOJmkJe900aNuXD+UpK9Ym6Irwvcy9zg2XC7shCCIO7DGFkeysvL6+rqzNtpmsY08YibQHblyA6dc+LC+UtpwwA4q4fceJkfMQfOX+/t6Z9YBCuCIK6paR04cADnyJnBYNopgOzKkR06pxVTLD+sVqkZ6Gccnd5ziiH7tlOze+hoMRE/v/aWHhfOfOYIunr7+waGfuhnrrd0z5tzJz708MU047C2G1JQUKAaBcxf6iRgMO0UQHblyA6d04qJWH1uuZxT/M2mWwAw29fLBVYTqSZEKgshtjA0NPzh+cbMlz/a9qfyXfln9x9X/K7wfE5OTpsOK0jii2kmwcEpQBDrkF05J9/xYfOXupi9pKOt1/kn30aIubGjFVNq2USbjpYeuXi9pTvA1+uptHsAICaSV1rR0PLtN9v+VP4Qf754yzIPTLiPoKaFOBo00joakrN0kqVgpkBMbP7SFauiXGn+r9V3TqzWpHOKiWzy4rIak8vXtL8rPA8ATz8WlyyIZDWqHY/FtQkXH3j3m8+VN7t6B3K234/KFr6YnB/8G53ZoJHW0dglZ+kUiGmWxyzXSyJAwvQWLuK5zGoirlp63PyySldvP1Gz3vyPtY+uWmSiS/35wD7pMw88xJ9fXd/x15O1OF34YkJNC0FmNiRn6dR4ZE8SopG40ltc22EAUypOVgAAIABJREFUAF6Qj8vcEakphDV5rNDXz+zMPwsA/7lzVfDo6WrFW5bFR8+VnW/88HwjThqCmhbiQPbs2YOT4FBI7BvZm3NyMZFdNld6i3fd+gGmpLb0lImJ1BQi9YUQc4aGhqVHv9L39D/9WNzdUYFWxOThMSv7lysCfL3+8kHN5WtanDp8MaGmhTiK3NxcnASHYpecpVMjpsC5PuBa+UtJmB4J2XON1URq8rhwOfBJ8q68rrq+I3XVokdXLRpTTN5enELJagB45X+/HhoaxtnDFxNqWggy8yB+Qs6cs9QYn9lePr5erpS/tKO1x8fXy8UyhLl2OfDJ0Kajiz9WRYb6PZUWa+Mp/rO9ns9I0Pf0vyuvwwlEUNNCkJmHplkPk8tZOsVELglsb+khFWxmOsNDw+0tPZFLAl3sjypycSDcrjKEGHPg3W8A4PmMhHGFEz4YHxYZ6lf8sQqTbCGoaSEOAYNpHaxpdcHkcpZOsZhcKX9pd1cfTImT1kB7U+93n9NXFdmS/zcF9zU/Yg64Yo7ZSfLZJXV1fcdD/PmRYyWEM1lNHh6zns9IYBU1BF9MqGkhdgaDaR3KlW9bwB5pM6dMTEQvaXKJDUTizBQy31EGxZHhoa6vT6kPi9WHxe2lr7We2CvN/+/GPz3e9fWpkeEhx90XiWNtb8Hww/+jr5/568nvAny9dv383gmspshQP5L0AV3j8cWEmhaCzCTI7tUkc5ZOMX7+3uAqDtekDg9x87c7Q4auG6/v0J7560B706dDCXldqX/p+QkA6DyCtGf+2vJ27pChy0H3NYfHZe8OIXxQcVXf0/9U2j3eE/XJIyoausYjqGkh9geNtI6jo70XJp2zdIrF5Er5Sx1Xh2fI0KU+LB4y6E/R8b/RZVYML1u95v7FKx8aDF6b2/HTir67+q7X3Dj0m4H2JkfcF3Hwd6XAhUnS1dtPHOEfXhY+4dXk7cVJf4TS9/Qr6zpwSvHFhJoWYk/QSOs4yP6OXXKWTqWYXCZ/6bX6TkcYFIcMXc231azWBWte2fnQsT1JW5Lu2vFY3I/ayt9/df3gsif+0vOTEbpLfVg8qG93xK3F8sNw95DlUEkNADz7+I8nuZoeEy4BgP8tu4xTii8m1LQQZGZAkjlNMmfp1OMa+UuJpmh3d/jhgb7mw+Jhg/6/u3/aumBNzvb7744KNI508/CYteOxuGd//Ys3mVQAuHbot8MDfXa/O6zJw9Kmoz9X3owM9RstT6kxfUx/u2FUWyAxa11v6UZvLQQ1LcSeYCpex2GXnKVTLybXyF9KNEW7u8O3f/jGsEH/t95V99x/v3lxYlZMkaF+v3t+yz+Y1ZzBnoa3pHZ3kMeaPCx/O3UZxjJoDQ0Pfd/RcPTSu0++9/92fphdS7VuOvFs7mevfd/RYHIkMWsdfO9bnFh8MaGmhdgNTMXrIOybs3QqxUTyl9ZWt8zo+Sf5NYiDv72gryroKxdUg6FhK9bseCzOPGmTsZj8Z3s9/fz2L4diPVqvqD95x753hzV5CLYYtNoN2mdlL/3+0/zT9WcX+s/fff8vY1UhiQvvq2n7/vef5ud+9pqxlQvNWvhiQk0LQWbQm36G5Sw1JnJJoKGnf0bnxrzRqIPbtWvswpChq6W0sHvY+6zPOhtTkPvP9ro3Y+dNJmDw6/c76+xpJsGaPIQxDVrfdzTs/DBb39f9ZPTa//SPf06hjL50AQCei0n92+P/TfStnR9mf1T/GXvKT+5bCGjWQlDTQuzIiy++iJPgGE3LPjlLp0VMJF6yVdM9c+f/Wn0ncTizFy3v/9cdfd1vGx74j2dFo6UgNxfT3Yvncde/CACt/9hn3z1ElwkRnTBdvf3WDVr/qC37/af5fhzv5zoH7z59fERRDgCGy+ef8Khp/p9nb53I25WQkf9IdoC335FLJ/5RW0bOCuZxH+LPv97Sfb2lGxB8MaGmhUyeV155BSfBEdglZ2l3X8/5pq+OXnr3lVde2V6SdaLq3esdjVNw8cThuvVm1wydfOIqToIo7UJf85WBGzWK/sif/9vP/EeXqcXVlHDvkm/mrOWO0IrSE3a8R3J3ZJPaPTn1xTUY3aD1j9qyd7/7cD7HZ3ddc9TgyJyHNi/494OL/uO9yKzj7wzF+S1f98P1b5vf+Pf5P5pNlK13v/uQVbaeXHc3APwdKyHiiwk1LQRxWuySs/Sj+s+2lf729S+Pnq4/CwBDhq73Gs7+9tN9u/+2/dyRX/c1X3Hc9RP3JtV3bTN0/omruL22bkeGh26UHASA5iWP3xczkexoyb/8Zc/InbzL791qt1ucAbk7bYfBPZdYXz9DcmhZNGh939Hw7ncf+s3yfO77a/53+odvL5jz4KYfBcwDgFme3gAQlPRUYNJTQwZ903//yrNDzSpbZBsxmMeNDPX7XHmzD4tLIqhpIYiTvuknl7O0u68n97PXjlw64TfL8xn1rezGDgB4de7KPy5OXucR2OrFOeAzcOr93JbjOQ5K10Tyl16r75yh809cxYnb+OTp+e48p/vmKTr+uc0rJjbCnXd6jTz8HAB8d2yvve6R3N3MtTtOki9rWwHg8Z9EW1w+v/80HwB2X705O/LHC3cf8vCxoHP7L18X9qQUADR/y76z7wd2G/GG/ibcNpV98vUNfJohrqxpqdXq8fZabGQYRq1WMwz+a2IZTMXrCCaTs7TdoN1W+tuatu8fGub+rk691C/srqf2/35PdlDSU3fdl7b1Z9I317/q7zX7nRB/WdfV5v959ta5dx1xC9Q9wTBjMzYRV3G7uMOPDA9pTh/pHvaOW58xZqUXK6vp3lUPNHPvnj9445vzX9jlHt3ZKX5oaJhUOXww3tRsPDQ89MfPXgOAZ9S35i6MC9mSfccsj9HE5L0gJnx7AQBojr3o68mVrvktAEgrXu9j+qmFcwJ8vU58UofFefDF5JqalkqlSktLE4lEaWlpKpXKll4rp+Tl5YlEotbWVhSVRTAVryOYcM7S7r6e7E9eJe+JdY3X5yxfN/+pfZ7zIv6YK2WP8fP23f/T3y/0n/9J4OxPg3m3Pj/hCGWLZKKaoS/yWqXGXu7wbV+UeTK9Z4YFqxKiJrmalm/7HQDQnx1lBgftcm1u6xSvunFL39O/7oFI89CEwovHbnTdXKPtXezhE/zz35mrWSZi8pwXQbYR20tfn+cTuPv+X+r7uv/ydZGHx6x1D0Tqe/pVN7C+JL6YXFHTysrKSkpKUiqVSUlJWVlZtvSOdopKpTp9+jQKCZn6N/0EcpYODQ9JPpbq+7q3avSRfYMhm18KSnqKfVW06ei22xYmP2/f/0x6MS74rjO+nJqw+Y5QtkLC/GBmljEmTuJ2cYcfHuijK/63e9j70cxNHlal2W7QkrRM55u+IttP5nB9Z+uXJIfcofv0H+/b5U7d1imepGAgWUaNuaG/eeFGVTQza80tOjT998Qla0z8l6+7M/LHhsvn6auKVREr4oLvunCj6nzTV5jFFHFZTYthGJVKtWHDBi6Xu2HDBpVKZbzxZ7F3tFMYhvnVr3515MgRFJIVMBWvg970481ZOjQ8tPfzQn1fd1IPcxc9EPaklLskYWho+PI17aEPaqq647f9qXzbn8pTny9Nfb50X1FVp74/a9UzAd5+x7mDdOTddle2PL04MzR/KXES5wX5TH6opk/+DgCX/H5y9+J5ox3zfUeD5CPpzg+zSfLx1788KvlYKvlI+lH9Z32MqQ4Ul5YOAPOunvzhBzuoR+7pFE/yL6SuWmSymTs0PPT6l0cB4DF1+5yHNnvOi7D9oRf88995+AS0ntg7ZOgiy+r1L492M10k3UMbVj3CF5OLaVoNDQ0AEB4ezv4kLVZ6RzslLy9v5cqVFEWhkKyAqXjtzsRylv7tm/dq2r5PNAz9pE0X9qTUe0HM9Zburblnfld4Xna+8T6/6qcfi3v6sbiH+PNJVNS2P5UfeKfm18ufAYDXZvd7Rsbd+vxE73ef2/FGYuNDZ2L+UuIkPvmKh8MDfSPKku5h73UZm0bTsXaU/u73n+bf6Lq56Z5HSfLx/EeyN93z6I2um0cunXjyvf93vukr41N+dCd3MOEJv1l9pX+zQ9Z493SKJ8kX1gsXm7SXN5y70XUzraMnhLcgIPFxi+f2tbV3VHyem5vb1/YvoSSzPL3nPvocAHSeOeLN8coW7gaAv3xd9HPRUgD4tAr94vHFNM1wnPOyyL5heXk5SgghjAwN9Xdqe77/HgC4ERGecwJ+5O+QBO6kYuC4cpbe0N88XX82bISzrqV9zkObvRfEfHi+8S8f1ABA+iPUugei/nv/N4+uWgQA5Ofla9qD7337ufLm58qbG3/+6OmmD/+xcNFjHc3tpa95zouw8t/8uJgfMQfOX2/VdC+M4s0gQRPfssnX4Wm5dB4Avp+XdG+QhciGS5rv8s79DwBsuufRR6k13hwvAJDD6YUB8xcGzH8s5qf12usFXxx6/cujCk3NzpVbPW7vAi9N2vid4uRd7WdaOzeGBE0qOpJ1il+xKspNVjEpvxMfPTf4X8Mduvt6jlw64TsMK7t+CP73F8zds7qvXGkp+6jz3HkAgGU/Vux4FgAWbNm84OeP3+HhAQDcJQlkD3EgcePCeRGJC++7cKNKt/RGZKhf8ceqTaKlHh4YaI9MG3b+41u8eDHcjiIkP0mLlV6LjXV1dZ2dnXw+n9i0RCKRTCZDaZnjDql4u69cUe4Wf7Fxk2LHs3UFr9UVvPbNr8VfPfmrC+sfv/HOu0N9ffb9utrqFh9fL9tzlg4ND0krXgeAzKbWOcvX+T3ws+w/f/GXD2oCfL3e/I+1W5Lu8p/tZSKmu6MCD0hWv7ztfgB4/+9M+J2RX2iqe9b9CgBaiv84PGCfOyJmoRmX68Euhb1Hhoe6zv6te9j74cc3mvf+o7Ys79z/BHj7vbn+1Z/FphA1y3g1eczyuGvu4tdT/kicfn535pXuvn9Wg75jlgdP9G9+s/pOHbfDbq+7OcUT81L6I6Y7Fa99eQQAMjS35ixfR/JmGf+L9d3vc2peyO48dz7owVX3vlaw/cGHFmzZzI2IaH77RG2OlH0CBKU8CwDtpa8BwNPLMwO8/f789VtpD0cAgLKuAxB8MbmMpsXhcCiKKikpoWm6pKREIBBwOBwAkMlkarXaYq/FRpFIJL8NABw6dEgkEqG0zHHtVLx9be3K3eKaF7LppqagB1ctFf/63tcK7n2tYKn41wu2bP5RQEDz2ye+3JzRePivg1322YIZ6GcMPf2x8eNw0vrbN+/p+7rTOnrmevkFrH7y5cNfVtd3PMSff2xPEvuPu0Ux3RcTXJTz0wBfr/oLiwDg9SsnA9N2DRn0bX//T7vcCzGZkGT3MwXiJBe5OHCS42i+Ous9bDjv+aC52YkkHw/w9st/JNvP29fKavLmeL300E6ymSj5WMq6bYWtWN03y+fh3lOXGyabDs2tnOJHy1b6fUdDTdv39/4wFNk3yHs4w0TNqs2RdlV/6x//44RDBynJb3wiIw6f+3zhE5vu/a99QQ+u6qr+VvH0v5PNxB8FzPNbvm6gvYm+qvDmeD157+P6vu7rI18BwP+WXcaXBb6YXEfTAoB9+/adOXOGz+dXVVVJpf8MbpdIJEqlcrRe80Yulxt+G2Ll4nK5KC234sY77yp2PEt0rPtPHKckv5krfMgnMsInMmKu8KGFT2xafuRQXJ6UGxHR8uGpr578la5KMfkvJbUC50fY6iRE9g1DB4dXdv0Q8os//eGvXxM1KyvzPlt2K/xnexVKVkfODRq4HqPv6670BlJmxF4OW7H8sPaWnhnkqkXcw22f/9EMWj0VbwHATzammXR9VP/Zu999GBd818HUvSZqlkU8Znn8LDZl0z2P6vu6953/89DwEDFr+a9+EgAmH4ToVk7xJI/ov6XcbdL+puJtAEhquxWY9JRxvKGxmhX7crZ38L/Yuu7w8KAkv1m046lBvf7b375I/tciilrHh2+MDA+tilix0H9+eWPFmsQg9ItHXE3Toijq5MmTcrn82LFjRE8CALlcToxSFnstNrLI5fKQkBAUlbupWc1vn/hRQAD5R9bD24LXzh0eHn4xMfzXC2L2vPSjgIAruXtV+f81yc1Estdmozs2Gy31i5u6eUlPva/QV9d3xEfPFW9ZZvs3+s/22rfrwdk/LBkZ8Dxy6cSPHnzcwyegvfS1IYMdrHQzrtS0Xdzhu69f8WR6v/BYcXd0mInt5MilEwHeflmrnvGwlKhpNIiyVdP2/d7PC4myRcxaqwbOTdKs5T5O8UNDwyc+qQvw9eIvnWsilBtdNx/Q03O9/PwSHhlNzSLOWOaEpqyL2fPSoF6v2v/fADDL03ve+l8PGfSGyxcA4P+zd91xTV3v+2TvwQgQVgAZsmUpstwbV1tBa2tbV2uH1lHbWhdKW1utVlu/Wq2jttatdSuibEG27A1hhQQCGQSSkBt+f5w2P8oISQC/rV/eT/4xiZeb+957znOe9znPuzV0HQCgEh8LRnXxo/GSIS0YvQCTtbV1T1KqL5wa6E34PixBjkbfeCmteCHMYnh7+f10tNdCtt8w9vfz++moaWhIS1KyppRgWMBam47u5Kl1WdBl0craI0kx9veHpd5OrKg1gX3ZLO1pIhKwR7dMwzeOBwAcT7/Mfn0nAID3e1S3GhnilfzXSbWGRQ5f98d/AAC+r775N/gllx58egIAED19q0aYpXuaXnOfN8dpSj6/5MdnZ8FftBYdLR8irfW/4xSfU9Yskioip/9NmY6oEUhozRa2s8Lf7ymEb3rwcCCY1StNxv5+sIzIu3sPAEBxC8ZQmMLYX7rViBnFJNjWv0nWZMlR/v6wdNQvfnRietmQ1mi8mHj5rHhLDxyCMMt91/Z+qax+A0MkumzZ6LxpQ5dIlLV2naTYkP7NSoVK98bScpXil9yrNDWY0tYBgt+GEvh+YZYuaWJQCV9EzFYJ2VlNOSUqOZSbSLIeDvFi/uukWtAdfihyeGl9FbmTn4a49yS0YI8XkVyyZ+oWM4qJYU/TinGvalwxAQCW46coMNSh01r/I6J4qJSaHmDb71qFyuKQHf0078tquFUnTuGYzH7ZrL5pct64HsdkVp04JavhotAYk+lvaWitdwPeAACgbQoAUI/q4kcnplGkNRqjAXh377UkJWuvF2gJ1qQwz33ROCYz/7PttRf13hrW1toBdG4sfSHvplgunScQG4dEbD1bDAA4sD5sKDvJ3exN3vZ7BQDwbdxZk+lvYyhMYcypobeghlIt9b9hNQ+7NA7RHb7i3nkAgM3Uvxkyncu9Bk2zxrLGGHxkDBqjccUUyIQoNMZ89jtDp7X+F0TxRdXCGp7k9VkuPd1KETVyLvcaACBM1GE6e43m/W4EKdy1BwDg9e3XOg4CKAzG69uvAQCFu/Z0I0hPWouIJUR4hAuVAoxJ06gufjRGkdZoGBIvkxWvZiHruu1TA2AWDKjcgtsS9QVb3Eoh0E0kJJAJ75fHWShUft2kM7X2Iqni3cWe5gPXHHVM04IJHsZqByVWdDE1HdYQW+4eG+JVhcCxWdD+z78BmvlSoL9nbM9QStsYzbmVasugiZ69kmXLsFrsOnuIT5PGFXN77LeIGmG6BQIAhkhr/S+I4u+mVAMApvr3JrREcsnSJjGJzCRYOWveLzt0pEskcli7aiDlQL9pIpqbQUq77sq1XrRWuMt0JpFOHVNewxPV8CRgNEYnplGkNRp6xUtjxdslFmsWsroXDfsNHIMRcPoEw9ur7sKlgp1R3YiuaqfSAj7QTaT1U8ZvAIClfDHfcX5CLs/biQUtSYeepm8WvA8AuFZ2vZNsQXEL6azJ66gY0p5KCBwhiBzGgG7dpQcO8e7ea05IbM3MGrrRRmOdGOjpGdsrCu5dAwBQgpZoyEVEjXybdAwAsDV03aAqeF3SZMu0WukbKZJLfnx2Fo0n0oKWDJHWeulF8dCtNMzHqudSBBJadAzBs11hMv0tjUKrNTMLstrseXP1TZNpSDBcYiFyeS9aa8W4V5WgE2NWF5PGHZ01RiemUaQ1Gv+L0Y0gpd993yUSue7YposEftBAYTDuu7YzvL3Ez/MKo6J1AVtqRF1d3mLvZDroN6H9j7dUbk232huHYtII298ZP1yXgkGhTLaaiia377lw33j2uxgKs/nOf4biZQrV5RBEDj0Qubz24uWUha9CF9mWpOSqE6fKDh4u3vtV+oqVpQcOGaaQgwH1ZLp7xvYKVVcXs+K+tJs0YXKI5k3Y42Wlb6QWeZa+MdtpMhRsZTcWmAQvApDWqjYQy0JkP1wJ0n1hI+cLWjOzhrJ9RMeAm/7mBf/NBx8SWoEiGZ7CpLgFa8aBih/+AwBw2fyxYU/92M+2AAAqfjyGQmPofrM0tNZEGz8mkY63K779tEz+DzY9kfMF8KX7+nA0/hUxuqfv3x0vhxUv3GfEDp9r7O83XMeEYKv69FnenXuFUdEumz/W3r0H1tdcPAYXacHdUvObpbfZywGQbYj06dUrd4hpWhm4IP7aEy425X6mx9TpbwluHm6NP286c5WBaykM2t7JtLq8RY2oh6I070aQluSU6tO/dIlEZA7HYtZ0ioM9xd6+SywBAHTU1TXeutOSlNySlIxjMt2jdlLs9OsppEbUum9H6DeK4h5SAeCPme/9188UyISnsy/ZMqxmjAkd3qdpQ+DK1Te3Hs/49ci8PbSgJeDplUtXHrptfd2wM4cJegEPGiKXc389z7tzr9f77PC5piFBdFfX4YcO/bmVahRaIYJWkwUbNIRW9emzXSKR86YN2h9VLWmiu7oyvL1akpI5by5nTFjQlnhJGPsL1SMMg8a8F/DmvqSjWIuatMKmyb7W/6gBUFJcXHnsZAeX2zcpNGdng6UUoxPTKKc1GsMTL4EVr5wvgPIs+5VvD++RURiMw5pVNssixc/zctZv0l7egvU1zmDu5NmNBXC3FNFxyoN8mbcTy9/VfHjTRMQSXnObhya3n056hNhNwJtxJBn3hiKNh/BxKFKtLrG4MCq67OBhAIDzpg0+Rw6y582lu7piiESiuRnR3MzY389jz67x507bLIvsEolyN2yqOnlKr3W5RCwHQ3PSQmVcAgCELlqkeUf3uqG+aaITaesD3xHJJT9l/PYnrdX52GBaCyZINJLWmt0I0pyQmBa5nHfnHpnDsVkW6bxpg+uObbCtDe/OvfzPtpceODRcvRY00a9babmwRiSXzJSqSOT/J7TkfAE8N9OQ4KGkyfGDdQCAiqPH0HiiUVgkIhPJ64oBAL6WHjZ0S5x1xeWE3H/O6Cer4WraYDC8vRzWrnLetMFh7SpNUjJWrn0BvOPoxDSKtEbjZY5uBCn+ch8AwD1q5wgt3WyXRsDpXzvYgp5GLDOqNkpAjRzLOAcAmNyF31doCwD45A2/kTjnBa4zAAA4m5Kf/nhuvuQzAAD/yj6D7bUgfDRYqtUlFues3wRJx4DTJ1iTwgb6Jo7BsF0a4XfiGJwn9Jok4PXnGNqHpzj9GQV01FtOI5EIPTHxHKcpw1g37BkhnPGwhpjbUkELWmKFFd28YqArh4UVA4ykqxZ0AS07eBjHZLru2OZz5KDt0gjWpDBjfz/bpRE+Rw76nTgG7ejSV6xsTkgcrr87kFspZIVDBK0ahZZmHHD94rMhjgNEczNoryUpLmZMWAAAaHlwEn60xv91AEATIfsfootvzczK3bAJtsHwO3HMY88u9ry5rElh7HlzfY4c1Kxbstaug1ZhozGKtEZjNAyJpgcPO7hcdvhcfYtN+oItz33RXSJR+oqVAwmJdHFySq3LEsulC5qlJYypzVL15uV+DENFRYPSWhEe4Si8MqUq7zmvG9prQcWJAQHho2FKIAizukQim2WRDmtW6TILEs3Nxh3aD9uk6O5tVlbEBwAYGRvYdKsp9ncAgN+ipRpMfDzjVwDAMq+FI3dfbQhcCQA4nvErZcKcodBaFpZ0AEADd0SQlsZs3WZZZMDpE/0W6InmZi5bNsJeC2UHD+vLRw4USc8b+7qVQlP4mVIVvhuQnf8UOLYkp8BxYFhkmo4frgMAVB47icYTKW4hSgFXKeACAMayxoxjeWNNeDdT8//rQ1/txcvFe7/StMHo+8PhumXc4YPQKkyvzT2jMYq0RmM4419txdslFo9Q3bBv0F1dPfdFAwDyP9ved4Goi5MTokZ+yb5CVSGBGJNT+WQ7Nj3U23Lk0hTuMh0AgLMpPXwphzllBWzRY5g0vqdUyzCY5bpjm+3SCN3/IwqDYc+bq/E202VFXpjTaMam4QmGKEeL80s53fVNdA+K0Z8ZvFH8QCSXrA98ZyA7+H5/7KfvrdOrUqOpIV4qeTgUWgtPwFJohMLnvJF4xDJWroUwy3ZphHagbOzvBzftQmnj0Of1a0/KQR+3Ug2hZRQWCbscInI55Nt0HAcGfZowRKLNssgOLldSXGw8ZTkAoC3lz82hqycsAQAkif/47+riNd3GfI4c1A4uKXacgNMn2OFzdd/cMzoxjSKt0Rjm0NGKV65Q8Vs7/mnNKGCrspGrG/YFW+PPnYYLxF6rdli40b7x8EbxA7GyPbyl/SYyVQ3Qm5f7/a2viFwOjQ+g5YGcL+hZqTTAMRnSWmhyu6S76UpcJSv8fQBAs6H2WgZItRC5HMIsz33Rhu1U0HibVZ04pd3bDPp2unqxDft1FTFXAAD2s/8UpEvk0ssFd2wZVhNtBj9tSXFxzvpNKQtfTV+x8pvjx7LWrstZv4l3956ODTRhG+P75XEyj/FDobXcvdkyqWJ4e4F3I4iGj9QRKMN9JLD6VhgVPRTZVr9upZDQmiXH4rsBLO0BACp+PAYAcPzofR3HAV2eJqtFCyCthWOaUdxCZEXJUOloRjFxpLqhye03MjP+uzALdhvTrv3XJEWjNx1iUv5pE9Mo0hqNlyRqeJL9v2Uu2XY7FTp+AAAgAElEQVR39ZePFm29PX/zzY8OxBks3R3GkBQXi5/nmYaGjGjdsFfgGAy/n47CVXvuxk80BAYsXcEiTv9QVaW4XHCHqkLcTDzjq0GYj5Udmw45g9qLl9PfWpUWuRwaH0DLg6y166DrwVDUrJDWojiW/P6wVGrsSrLzkhUlQ3mvvqGvVKsbQYq/+gYaSA5lS5rmgms3km2sEwFDPUub+K3u8hwxjsV2coHvnMm5DABY7bdMuxBezhcU7IyCYmTT0BCbZZEAAMiFVJ04lRa5XEdxDGxj/GPW73iXiQbTWlYcIzDcvcChBajuMEszr7ts2ajjPhItcexaHgBg8STHnm+eSr3MaLFUlzqlk968cbkoIabs+cNMfnKaaWjIMO47hrSWaWgIpLUY/rMBAO358fCjL6avBgDcrrqJqJH/yrgH2Sy9uo2Bv/SmQ0zKaPy3ArN79+6X45f8+OOPH3300f9a/iZPnjzQR+J2xSdHki7ElHKbpN5OrDfmuOKwaA6b/ry8JTa9NjWf5zfWnErC/VdOuxtB8j75XC2Xe0TvHqJPqd5rCyyWFRYK0Ghhcgrv9l2SJZtkY3Pt12x7J1PfQNsBCa2i+0XN5a83SU7ypnUou6PXBnYU5JXsO1Bz9pykoBBDJBoH+Fu/tthmaaTVK4uY47yN/X07G5vEefm823c7GxoXfLDOgJ+JRWNRKFS+MF8tNqmp7QqPXCBOu9lRkc0YH45C6bdGIpNxiY/KEaTb21+n/e3Vp860JCWzw+faLo0clgsuKSkVxD4BKBTDw73vdzKSaxpqRbMWuuPxelcPY879YiGvYsxeR2fbAABqRQ2nsi8G2/qHu0zTziuUfP2Ngs83DQ3x2v81KyyU4eE+efJkhoe7TcRrTB/vtsxsYUqqqr2dOc4bhdZ2tSl4MgqFelqXZeEykVWWa6TkyTghLCP9BGcEAvZZUrWFFd3K1mhY7vPmhMS6S1cY3l5OH31gwH9neLgDFKotM6u9qpoVFqr9CvRLaF19Uj4/xGGCx588pai14+L5VHkmk9HGbkeMhFJ0c5OUWyksrWyvMfYmuXlynFgYLHqIg17PoI4Zw7t9t7280mbpG7LSZ7KiFEbgQhQGi8fi8iuFgu7KbjnFw8r+RQ4+XWJxzgcbYNEQQyK94KT8QyamlzW0I5BRpPXvjqioqH7vaXG74sMDcU3CjtdnuWxY6rsg1MGOTQ/2sgz2snxlsiO/teN5ecutpCoUCniOMX3xp910/4EwJdVh7SqGp+eL/+soNJrh4W4yMVCY9qw5LqEmrZCLsQ6cZD/QJCeQCQ+k/GShUAWZz4orRT5gt7Sf+5kf86hLLGaHz7Vf+ZbDmlWmQRMpdhw8k4mlUkiWlhQ7DnvOLOY4r/bySnFe/i/c6mAfHwPAloMx50bxA5ppR02+kY+7tTnbTFaSiiHTiVZOev5kVEtze1khf+Jkh0Hns+aERO4vvzG8vZw3rh+W0RyFRmsHW7F3iwEKNWmms943UosUl/gfBI0f89qHEH3ujT8iVkg/DX2fgidrgVl/qWQOWcycjsZiez5NKDSawGJZzJklLa9oSUqWlJQa+Q6SOxfTMY+rkp81FUxheTDaKn/Kxk8PdUejUbr/ECIJlxBTpjsU1h5yvqBg2w4ck+n17VeaX2fYvC6IfSIpKdV3Xj97t4jbJN36pj+VhFMj6oynNedPpItbFO30ljBS/MKZVnPWLp40y5ktyO3OfYqY21XWSHPS61jmVBMW1eBBr/dChUrpbGgU5+Uzx3nR3Pykz5+gsDgSxx0A4G7hcK8ytry1epHbdDTqBeGVbgTJeu9DtVzuvns72dp66Ekxm/LPRTM65uh/B2mNVg9fwoAwSyRVfPNhyLKZY3v14yMSsJ+84f/zFzOYNMLvD0svxJS84NND5HIohLeYPeu/eJUodhy/n47aLIvkiboBAJ2XT7dmZvWrzvk9+wpW1f1qlaL0UsqG6suklBgAgMPaVYGXzjus0VZcg0Il1x3bAABatj1qm4CxhAiP8E5UG5ra9vUvGZRxMwzuPA0bIA5an+oSi/+0AxhC98l+wNZfrv19y4hKhUrAk9o5GuLFkHIvho6W43wXQLOAQZ0duhGk9MAhqJLRLkbGEInuu7bDek3BjkG2fWHQmE1BawEAFxgoAECgOivpeaO+v8WwXQv9/sa8rZ8DANyjdg6RMNZUrPTSYvdsv6NG1OdPpj+4UWhsTi73SDQak+mI5htNXADhYPPVSw4myAe75ixe7iOTKi78nJEQUzaMzzjnzeUAAN7dBwQrZwyFKcl6CK1SzJh0C1mICtX5uPzZCxtwNP0ch+gQa7s0Ana/0Lev62j8F2OU0/p3R1BQEObv02FPmNXTl7lXUEm4uRPtympFsem17R1d45xZei3BhxLl3//QUVvr8skmsrXVf/fqobFYhod7No8oaut0qI4VJibVX70uTH0G1Iicx+vgcju43IqLF8i3UoKfy9BNXUxVO9rb32Pj+w5rVtGcnXRkC0iWlp4mJi1P4gWxT5jjvAgslgG0lilb2VJpZm1OdwsOk2Q/7Gquo3npt2Sk0gip8VUMI5LdwJ5V3QhS/PW3Cj7fffd2Eps9vFd7IGaroU6Um14XMs3RnE3Xj7lRqMR3DtHR8jFvfI7CYBE1EhV3SK5S7JzyMRbdf2oKd+9tS89geHu579ret3zT62mC3CdAoYTJKYNSCKYU40YpP6up0MHU0V1cerqYOSvUVa9nSiHvqihpdvVmU2lDsg6pPnVGnJfvsHaV8fiAoWfNAGbr2LXn3CbpjlWBKET94754aP0v8iqu6axZUddsOjaY5hHajSAFX+zqEou99u/D0WjmbLp/MKepQZKbXldb3erpY4ka+NL1HfS001otSclm06YSLazb8xPwJpZ4Mw4AwJphkVDztKildK7L5IHulmGM1sys2l/PM7y9xry7ZuhH0zxHODqN5uwE/nmhe45GOa3R+BdELyteBFFvP/50UJilIbei1gR6O7FuJ1cdvJD9Yk5YVsOFHWSHVwBrcCgVqprKVncfy8Bzp1x3bIMqWtjLD77aUzMAABiO0WX21CtB707c87kBS9Ifr1+Hvjj5n22X1ejX45aIJcxxmiJSNdPN2r87n6VmWBnWeZpCJVBohMyn2v66pi3SSDRm0TBbsA2wZkUOG9EY4A7/6M5jK6yoy3M+NAuArfRW+kYO5OxQe/Gy+HkehFn90nX9GlvrTiG8G/AGAOASVqpEgTB1mr60Fty1IOBJh3KFNU7rw0gY68VsaQgtKh5z/ECiTKqYNMs5dDHnaX2mr5porFJD24Xq02c7uFyHtas0tCKFSli+Zjwk9s6fTNfC7enlPw5pLe6v56EZvTD2F/i+p4MZrtlT0d1xq/jRSA8yXWJxxQ//gTzxcD1HLps/hrt6h9Jp9IVNTKMxirReqjh1q7CGJ3l3seegMAsGBoOGYCsxp+HFlBFhRxfYMeOfELCa5uxmjmMwjP39XLZsDLp+2e/EMfhifL31aAQrYwY1duzSKor152tCDP5DFDuOe9ROAEDhrj06OghoYp7LNAAAc2w5AOCHK7mseesAAAZ0noZWAtBSod9J+gXYm6EwGGj9UHfhErQjh42lmXp6lsoVKmz+bQCA47TFAAC5SnEu9xqTSB+oxWFzQiIsGg4Es7Rdt13byRxO3YVLrZlZ2jHx+sB3xMr2WEcnP0LNtVupevmqQINZuA3WsBhGp/WB4OagYOvcvSIAwBuzx/56PA3CrEkznS/k/QEAmF5bT3ELwTHNZDXcfuEgGoPWgK2kxxXDcubQMr4lKVnRLOzZnAcAsHrSTHUH9WrRXYlcOqKDTOl333eJRI4fvT+Mu39wDIbPkYMAgPzPto9uRRxFWqPx4qKGJ7mdXGXHps+ZaKf7/4Jgy45N//1haWYxf0TPsDkhsYPLtVkWOSxO0MMSfQkVFAYDe/nhWCbfF19UYVELWCHPKmVQdzKUv0Wx4zhv2tAlEhV/9Y1eDoRmFJNgW/9mOd95bHdiTkNzu9ps4QZEJmqNP6/XCbiNswR/WSoMNEm/AHszOElAO3JhXqFhjaXvxmS44Hgyti+GwgAA3CmNFcklK8a92q+zg6S4GIrPXDZ/bMCvQ2EwHnt34ZjM4r1fabftgC16ErvFTXhMBOqBXrQWNJgtzGk0+MIOr9N6X7g5KNjSEFqxVwsEPCmEWQKZMKU20xKFh4QWIpcX7toDAPDYu6tvLjRgK+FhWXpy9bCcuYbW6tWcJ8jDsqvGHfxlCzJygx60sxl2Fh/HYEA35pz1m/RdvI3GKNIaDT1CY8WLIOodPz0FAGxfOQGD0S+tGAw6+r0gJo0Q9XPayHUEQ+Ty6tO/4JhMaCr4D4niPB6FRuiXUEmpTpOo5DOkqgM5bADAR0vGDT1NrElh0O657so1vY6wzGsRAACxzAMARJ9+RvUIM6DzNDQMy8tq6PsRbItksyzyxdibacBW2pc/gr/U+nrcS4gak3sDAOC8cBUAQCATQqvSEM74ftgvviD/s+0AAJ8jB7UbRWoxtsYxGJCSLP5yn3aUDGuIl23ZFljR9Uv39fIih10KDGs1rdnKMEKUpGZPAwRbWggtdxqpurzF3ccSbiaFhNaCOj7FLQRLM4E+bc6bNgyUCwi2KDTCgxuFtdWteqVJO62lbJPAxlaQ1iISsEuDA1VCdkptZq2oYSQumiYpsEHQsAfd1RW2vdJ38Wb4MK6bCdmoR/wo0nqpQmPFe+pWoUiqeHexp4Z3kasUD8rjD6eeOpx6KuLSui0PorMbC+Sq/itHDCph77tBAIAdPz0VD1BdGmI0/HGrSySyX/mWFgpdrlIIZMJkbvqD8virhXdLmitH1F1Q1q4Q8KTu3ux+z+SXzAtUFeJu9UqrtOvdxZ5EAnboaQIA2K98G27B016K6pfWamznTQli1PAk8dn1BnSexhOwZmxaX9ZE0xbJZsmrL+zWhWBLbOQAAGCq9LPSTUkv80JXKmmWBBMLzVy+2m9Zv1Md3IjnuS96UD9u7cbWFDsOO3xuB5fb9OCh9kyt9I1sBMpnDNISctqNBD2qYLBLgWGtpqtOngb6OK0PEWz1Va1BQivYiZWZWG3Gpi1eNg4+R5DQspN3GU9ZXnboCBQCaulTDsHWqvXBAIArv2T1LXYb4D/+/7TW+PkAAHHmA/j+4kmOqjonAMCRtDMjccU0SRk510D2vLlw8VZ9+uxIHF8gE57JvhxxaR18LbvyofapxOAcjSKt0finB7+1A9YNw0Mc4DvJ3PT1d3eezr6UUpuZUptpy7CqFTfsSzq64trHZ7Iv9/uQ2LHpu1YHiqSK/b9lDXvfHjlfUHfhEpnDGWiERdTI1cK7K659/OGd7UfSzpzOvnS54M7OJweWXfnwcOopgWxETO1hHW3M2H42A/6RdVUKkIXA6OtYJZNG0KsgO+h05bL5YwBAxQ//0WsZCmmtBnISAODUrQI0zdSAztPQnZX/d+YSzgdjP9uCerHbhXAMhsjGGwBQ+2WU7sJeBFGXPboOALBZuA4AUCtqSKnNDLb1H8sa0+ub3QhSsCMK9m0cFo2//cq3oQxZew1xxphQJpF+i0Vj4MWpj5N0p7Ug6WiAVAtuNBmJEtVAYKvuwqXSA4d63sDRp5+hAcA0tgMA3nwvEDZrv1MaqyG0eA/i4W4YXVg3pjF52eoAmVRx/becoZ820dyMzOG0JCUjCtCzOQ+RgA11d1I1cWrFDcnc9OG9Vq2ZWS8mKXDxxrtzDwofhytqRQ174w9/eGf7/fI4W4ZVsK0/fGmmkgfl8aOTr44x6vLw7w7oDge3VX/+dgDLiCyRS79NPn67NJaIJaz1f31z8LtLPMJnOobNHzvDxXRMrbgxqzEvrvqpt4Ubg9h7U70li9re0ZWY2yDrVPm5mg/jeZZ8e0DB57vv2YVnMvt+msxN/zLhh2xegQ3ZZKnZuEU24xf7vDbPdaYFlSXsEBUISu+VPaERqPZGNsNrMziQNTlfKjiYcc5CoTLBv1bUIP90RYC1GW3oafr/p45IJFmym+MSVDKZkZ+vjgeh4MmNUn6BoDRiQlDGcwkajRo/fZo051F7fgLdbzbcfzdoYHGYrKdcljlVY9MK95+bhoZYLZz/gu9epUIVc6fUxYFKr0xvy8w2mzpZl6V/UmbVuOpzSpql5ay3wMBWpd0IUhgV3V5aZrMs0mLmDAPS1A/OQKNNgibybt8V5xVYzJw+kOUBGoX2tnCLqUxsJOAWdtTfaLQK8tbJ0ASDRRfn82rKhZNm6WHi2o0ghbv3donFrts/x1IpI501jVtHW3qGMC3dNCgQQyRmFvNvJlYGMSkKqWLZ6gALKwYktKITjlii8LMEIgTvVX/lhl47EkxYVGi3S6LgeroKG2aJSbGzFcQ+6RKJzWfOlj5/AkA3eYwvAMDRmvnHvVacZVVpS9UMx7DhcnxA5PLCHVFqudxr/9da7GC61UhXc11ndZ5SwEXhSWq5DEOkGJARk4mB/NgnzXEJBvjI9LvuvV50/1DqzwJZS7Ct/3u+bznhxxt321tgHS2wjm8FhHtZutSKG+NrUktaKkNsA/oOy6Me8aOc1ksVUVFRGhWqm72JRC7d8jA6n18yx2nKkXl7espWiFiCr6XHgdnb1we+I5JLtjyM7ncNt2qBO/R9GEZ1vJYWh4gaufz85pG0M4hMtLRJ/F5esUPCTdyt4x3/+Uj5+5cTRR37Z35+YNZ2JpF+OvvSpzFfD+8uocLnPDM2jULtbQqwL/YAAGC11dQr6W12bLr/kEFnXy6dNSkMLkP1Mn2AtFaWNBbuYJB0qGDnacEf3+t4BLjBrbSAr5mkK374DwBAFx1Jl0ggzrjHv3GIf+NQ1Zev8s5HiTPuKQVcgy8L3PjpNtHJc190l0ikS0M3BFGXP7ikIbSSuem14oYIj/C+VqWwUGUaGqJ71z9dSh5EczOHtasGrSHaMq2Cbf0ryPhmZmd7UYru8kfYZlsvqRYUwr/IjSYoDMZjzy7YIzJn/aaW9MzDl3KMAUopkrv7WDr99bz8SWjVNInqmA037hiwI2HxsnFQsNXzghhWmaK7ukJaC+BNoMYRbt01NyaHeXOUlV4iueRC3s3hukTcX89DOdpAiwelgMt/+HPW/qWx5z+LeXz8cNqZ2798nHHyQ+7JjQb0NsUQiV7ffg0AKNl3YIhbESVy6VeJP0Lh42fjP1VWem/6Jifq57TvzmfB16q9cY+fyN9yXutpPjafX9LvsDxaPRxFWi9b/HA5FwCwYq4bokYOp50WySURHuHv+EYQsQR5XXH9yU1VX76qebUlXZ7AsIPY5UjamauFd3s/sRj0J2/4QXU83yBlbt8Fd8m+A/3O5SqVMurmjqslDxw7lF90UGZOe88qcpvNB8csIrdR3EKUAq4w5lTtkbUWStWx+V+t9I2sFTesvrm1pLlyWK6bqLVDJlXAia1nJJYlNCilwTLk52wzAMD2lRNGKHGwhli4a4/uNUQzikmER3ituHHeTAYA4MQf+WRHP2ivJc7QqR0yGoN297GsLm9RKlQAgOrTZ7XPBzDkdcW881F1R9cJY07JipJlRckYCrOzJk8Yc6r+5Cbu96v0NfeCodn4SXd11RFsPU3Nn4rJUtIsKRw3RI2cy70G/mrF3TNqL16GhSrnjeuHPXEWs2eROZxBa4jvBrzBINLusOhzKZmHf0vT8eD6SrX+ixtNbJdGwKyVfvn1oqLrYwCaQiPMX+IFPxXIhFfybvs2IqR0VSdPZBoaEnD6xKBSub636xvvTgAAXDydMfQTHrNuDQBAEBdvOnsNAED87BZ8f16wPSK0JHUb3S+PGxZpPLSxYHh7DSSWaE2/c+fC55+3pH9rZ3rWknnRgvGcRrxowfje1uQTuvy7h9/m/fyxvn0giOZmuq9YBopaUQNcq0+1CyPUTN714/PEnAY7Nv2bD0N+/mLGz1/M+ObDkDAfq8Schm1HUxUlAQucZteKG7Y8jB5pp4x/e4xWD//dYWrjfv5haZiP1bQA668Sf8znl0R4hL/mPk9eV9x0+WvR0xuITExxC8GzbPEsWxQKJStKkWTcJTQ3LJy5oUrKi6t+ikKh3Mz+Vqog4rFjOUax6bWJuQ0LQx2G6B2vaXFId/ubUEYpbd19ZXMZSuGkQn8xeb351DfxZhycsSWGSMEZW1JdJzJDXsOQ6bKSVEn2w26FzNN/oZeFW1z107jqp57mrqYU4yFeuvJiQUl+05Q5Lgyj//cKl6sUnz85QFUhrzmv/SNdOD/EYZLvMPShCwsLQ6FQfZehODpNmJIKoBe5bgEt44VdfHeGb2JOwzhnlt2ESdKcR7KSVMrYQAyFOfjcrFKX5Dc5upoRlNKy774nczgOa1cNVAhDZGL+lW/aEi6oRHyKW4j5oo9N56w1CotkBi5khrxGdZ2IM7WWlaS2FyYphY0kWzcdi5gwHtwoACjU1DljAQAEFos5zot3554gLoE21rnfCgiCqHN/PWSOarOM2IpnsmIqElPrstcHvuNgzOkFswyzzuo3Tf0wOmg03XVs04OHHbV1WozjsWisNZ39pC5Dhu92FLSKmS52Opjg0+iExEflCrlKxwaI9Vevt2VmOb7/LtVxzIsffwgsFm3G7OvJNd0UWxnByKcjG5TkdLW1yXm8tFNHp8TzOTWd3WrgumObzWuvGNZDk0ojdHYoy4oExiwK7CKgY5r6PVth6jNhcortm2+358d1VGQxQ15DodAsI3JqPq+pmoK14Ja0VE5zCB6KSqEbQXI3blHL5R57d/ct5iIy8d2ru48Ic7PpJCUaHeERPt9lxlKvhUs9F0CtoUzeno9IEglIU9Y9FxqbZGqt1w+EsgRBXILlgnB9L3hJc+XnsfvkKsXrzm8+vIPm8qTzQxy2vum/ZJozy4hMJeGoJBzLiBzsZTkv2L5LpU7MbWioIURM9sjk5VaL6nqWEQ3O0cuKQEaR1r87jv1woFFhsWNV4NWSm1AXvNI3si3pcvOtHxCZ2Cgs0iJiG80jlOo6keo6ke43i2Tvpe5SdpRnyNLvBAa8kirmZjXm9wVbLCMynYJPed7Y2CIL9rI0+PS6xOKC7btxTKbL5o09H3t5K2/PrR3lBPRUivWWV74kMPspz6FQaKKVE9VrSldznawoWVFfyvGdE8gJSG/IvV8ex6aZ2TKH1Mwn5maRqLVj9iL3nh2XD8ccaFCI38FZH081kiuRL98LwmKHgffds2dPv8IF6hgHYVq6MDnFbOoUHRU2WDQWhUI9rct6LTAgJUNcUSeaFWhHdQuSZNyVlT6j+85CYbCDTl2p8VV4PKbz3A+adij9frOjIqvh1BaViE8PmMtevpvmEdoTyaFQaAyFSbRyovvNVkmEsqJkcdpNkr0XlqGTTETWroi9Xewz3sbR1UwzT/wJtgZoW5TyNM+p9g+o0JKrFDuffMck0t8LeLPnvKjpHu317VdoPH5Y0tQ38Eymqr29JSmZZMnW4ovBppk1SvkZcoG/uunec6ou/XlQaFRtdWt1eUvodEfUYF+W8wUlX3+jHSuP+MB7vSBXTCYRTNh0xLr4QUdtbVtWjjD1GbmlXcTAmlmoPfZ/T3MeOyTyzME4J72usrTZfyIHg0Xrnqa+AdVaaDzeJDBEVvpM05zHzd7kXlIDx4JeryxjEGmOJnYGn23d5attmVkOa1cZ+fT2hVFKW/df/TQGr1Si0Uvc534W9oGXhSubZkbBk7FoLINIt2VaTXIImmDtU8wvLUQr4+uzLQU8Kwc/fX4gB6BQbZlZ+vYFL2mu3PnkAAAgjLbkys02uRLZtTpwfqgDlYTrhz/DY/1czeEcUV2J9vcwyubnYtBozTwylBy9lAhktHr4L46iaiEAYH6IgwLddr88ztN87IcT3m5LutyWeAlDYXI+Pm0UGtGLYyDauJov3mi5IhpDYXZcP7Sd4ckg0i4X3OlbkgsPcYDe8XeSqww+w343tcnris9d3FpOQE8wcngv/It+rSY1gWOasZfvMgqL7KzJq/vPB1Y4qpbSp+6hRtTV5S32Tqb4Ht4NmVXPnom54zqRFspCkVSxebnfUJwddAkUBuO8aQMAoOLoMd3/FyyWncu/uHSmUw1PkvS8Ecc0g16m/CvfDGr6QKESzNi09OQaLS6X3WqkJeZU06WvMBSmReQ205mr0HhiraghmZsOPTjOZF/WeHBgKAzzxRstIrdhKMzGc9t1rGP2u/ETlhFh2yLe3b8dR65QNcWcA38ptKCk5r2ANzX3TzeCaGCWz5GDI7evHgbnzeXQfFW7aeS7AW8w8JSLFoypmPhTtwp1ObKLhzkAoFnQPug3ub+eBwCMWbemF3WHyMQdFVm881Ea2UD9yU0tMaeGIqrrN+Kz6xNzGlyxOADA65tnB9+8Blss5L03+WgEy8izmx0+l2huM8S/gidgF0R6yaSK21fyhngoqNaqu3CJ6OCHoTCFsb/A58WOTQ/zsarMMqXhaaezLxm82VmzybpvN6S21oZ1t7flkjBuNMtzr36/xGP+QG2jbJlW383bvTXg7XYsZr8w58zvn3TrY3ZjQF/wnjDr4WOpHZv+W9TsQfWp4SEO33wYIpIq4m/THZmOlwvuZDcWjM7Lo0jrZYvfH5YCAMJD7aITjgAANgSulKRcgzDLes1B6J3dbxBtXK3XHCTZealSbmxtJzGItJ1PDvQVKEStCWTSCD/dyIeQTt/QbHLuucFeXlf85OqeWBOqO8Pm4+mbdDyUUWgE7KRRf3ITBVFDsHW54I7BYKu+VgQAGDf+/+cAcafo24yzVBWyLGDVb7HVTBoh1NvyBSQRujSJn+fpvkMbdn0RySU4yyomjfDd+Sy5QkX1CKMHzO2syWu6ED3oEca6sQAAchNb6DPUm4kUCWqPrJVk3CPZeVmvOUhwGJfMTd/yIHrLw+gjaWegB8f98rIOHrUAACAASURBVDjowbE3/jC8c8iOftZrDmIoTGHMqbakwU23oYEqx8Gk71wITU2rTpwq2BmlwTHXr8f7EWrkJs4UjptAJoQ7z30tPTQwqzAqGhYN/X46qq8eyIDAEImOH70PAKj48Zj2ZG0OWQcAyLCWVzxL0EUaDxsgcisHeegkxcV9ny+1Us6/cYj7/cqmS1911uSR7LwobiFQ9SjJuFd/clP9yU2Gier6Br+147vzWQ54HFCpFy/3gTtLUBiMhIqJkxR5dKktlIjx5OXD8recXM2hgT5/yNbKUK1Ve/6iyfS3EJlIY5KyYq4bAGhc7UQAwPbYbw1w8tPSDamo7vm7j6KlGNRClufuuTsGwlg9w99hwskFX9O60fcx7TsubVKplCMEtnrBLG8n1vcbJzGoOrU5d7M3+ebDEADQtemODAJtX9LREXLk+bfHaPXw3xr81o6Tf+Q7uvnx8BkFgtL1ge+wm+qFMacGhVl/Qmw8keoRqqgvRWryPcgWKejO9IbcSXaBhB5DABqNCvayvJVUlVnMn+ZvQ8Rj9Rp0Cr7YqZbLPaJ3a9iFLpEg69zW49bGDDxl14ytJJwerAOJ406y95Jk3mvPTzD1mTnFaVIi91m/pU9dIjW+sqFWNO81T+jvgKiRbXd3SxHlRwzX+9V23CZp1NqJ5sbDtmFeO5FOd3fjxz4R5Ty3mDNLy4bwnmFFt3hclZzNK1gxfk5GYYtcgfi5mpPsvRX1pZ01eQCFInG0Cb/4Vy9XdjDZ472c/R17fSTOuNd0cW93l9xk5irT2WtyWyqi4g4l1DwTK6QRHuHv+EQscJ0513nqK66z7YysO7rk+fySmMrERil/HNsdT6TQPCcrm6qlz58Meg5Xf8kyY9MmhDn0C2IsF4R3NvLa0jP4sU/wxkYSEgN5+B0dLbdfGY0hUg4+PSmQtXw541Po7CApLi6O3tdeWga1WfoWDXVMUz/3pKWlpLikLT1D+9Z6U4qxtFOS3t7giau7lEgOD3XSXkOk0ggJMWUSsdw/yE7bpB69r0ss1jxf3WpEVpjccHprV3Mtyc7LdNYq07nv0X2mQ+WAUVgk1WsKAN0d5ZnthUnyuhLK2MBBC81aAkHU246ldLQr7BGUGZs2Z5G7pta568lBsUK6oqGVM389gT1s6jGOg/GzpOqS/KZPd7yNGoJ4FKq12jIyrSLf7Cx72p6fwAhciMJgqSRcQ3N7QWn7gqCxBcL8pnZBoI2vXkduuv9A8CSOHT6XFfa35ptJNWnfpp2iqpANLL/Z097T/YBEHHHe2Bn5hU/K0Mr8wid+jhOJOo+ZDA93gEIJYp80PXykxT8FwiwGgW7ZOjctQ+btxIpaE6jpMqIUcCXZMZLsGFlJGnyhcXgM1bjnncMyIluyqHEZPEuyjYRQWSdunGQXOOryMIq0XpKAHlqsjqSn6AJbhtUKl1m8c1/oCLNgoFBoCLawNYUODOsUtbiXqhEAQCXhxjmz7iRXP8mqmzvRTnfREhQrOG/aQHNx+XNololLz249ak5WotFfTv/UjGqq70/GMljDBbZuXnqOJ2BhtxAAwOmnp3PbamZKVZ4hnxy/URDmY7VokuMwJisqKkrL0IPGYvHGRs1xCYhcrqO9FhqFdjJxiKt+SqGr1G0W6UVN0wJsqWQCTKh2oCOr4Tb+fLzRxEPYgQ2a/P8TIRS/S7IeYChMq7e/Ijr6/pJz9WzOZblKsT7wnQ8mvO1l4cog0il4MgVPJmAJtkyrSXaBsxwnVYvqMhvz4qqfOpk4mDHZupwDnyfJesoNneHU0yfpbzcnGm0aNJHq5MiPeSRMfdb88IEJXoabuMDUKziZm367NHaO05QQToCshlt28HDt+QtdYrHD2lVj3l0zFLmS9jT1z7b6+jTcuNmWma1dgOzFdntWnVaA7wqW1uYKrQc1q2tpbq8pF06c7IAZ4IlrSUpuevDQZlkkdMVEZGL+1W/Fz25hKEzzVzYZT16GM7bsBaQwRAp5jC8jcGGXSNBRniF9/gRvao0zNpC4/flmQXpRUyCVhCiRVRtCSJQ/0W0yNz2mMjFI1DGebGEyaxVq+AzwiCQciYIrfs5LeHZxiBO5ka8P7/ZdcX6h9ZKlstJnKCwO3qgeDibX4ys626j2TqqsxvwxxnZsmq7GGXK+oGj3XhyT6b57R8874Wrh3TM5V6gqZLdVmNvUd/Q9VTQaM8V9piw/8RmmM740fopjKAFL0PH/QrDVlpkliEswCZrYVwkKYRaTSA8mRiamCzUwS62Ui55eF9w4KE67KecWdjXXal7thUmip9fldSVEWzeN9Zcdm97e0ZWaLbK3Q1dISscY2504eGxUp/W3PI7Sev/GELcrEnMaOGwq/OcnwWuFt34AAJi/ukVHmPXXfIaxWLadZOflUF06B6Hm80t+fHa2Lz/8+iwXkVQRfSZdR+94jVjBNCRYM4tzT276iYlux2I+C/3AYDE70cbVckX0EMuI0N/BP+hPIXNm1bOY+izHDuXrC6MOXvjTMuMFJ5Q1KYzM4fDu3NNuHNAzxrLGBNv6p9RmLnvFDAAQffqZJqEYCrMt8RL/xqG+8o5uBIH9fT0DODKpQtPqBBqCdNbkUdxCbNefkNON193eBsV/Py/8NoQzfqB6B51I2zF5A6xm7nxy4GrhXc1N1ZZ4aaAyIiyNwTKZljD29wu8dJ44cy5WqRRVAd7JW9nrPy777vuZuQq/G4UpC1/N3bAJmmaNP3eaPW/ui38ScQwGbDynvZElBo3ZPfMzGsDEOShqsx4MWkP08rMCAHCr+i/EaJwdYPekLpEA5o4eMNd2/Qmyo59ELhXIhPDVqyEEGk+EojpEJmq69JUudd6+UVQtvJ1c5WxEVrYr3X0sNW1Doe8GDWBmC9tNZ69BoYe55YD/RA6FRgAAKPXpJtnPMGJuZhoa0sHlKjtJ8GGB3loMKuH1WS41PIkbejqTSN+XdFRH84J+G7QjauRw6qnLBXcsFKptJCfbyW8YdrYoNObtpfvmIFQpQDbd3q5Xec52aQS8P7PWruslfHxQHg9hVhAh8tqjOgiz0Kju9oLEmv3L2xIvAQCMwiKt1xx0+OIafNl9ct4ichvJzquzJq/u6Dpxxj3NCAONGMtTbQEAxzN+HZ2jRzmtlyFuxFfkVwrDwwmJmPQIj3AXHk+S9YAeMJfuO1Pvx/gvZsuipqTBhJUj5tII1F5bbzzHmELv+OKatkk+VtprH90IUvDFrp6b2rrVCP/qt7+i2yrJ+AiP8GljQoby24fObOVl1VeUNM9e7E6lEYoFZV+mHKeqkM+8Ip7y6I8z6l6f5RLowR7efOmyvPtznZ1XwJ4zS8fDurGcbpU+Kmkt8TEen1cudLY1smRRUSg0Y3y4or60ozxDmvOI5jm5564IjemG6TiP3PQ6hhHJwgTdfPdYa+zZ7i65ReQ2o+BXSluqo+IPieSSlb6Rb/ss0aXIa8u0muX4/4kYy3KkeYZpYbZuX86TtSt7lpwGvJ1Q6IyYS2Os2qjB84gm5sLKMrNmJatZoeQLGN5eZlMnO63/0GLm9GHRvxu2CtdxAykBS3A2sYvnpitMWlJiUDMmOmthiIkkXGp8FZmM12zM7Bk1Z34R5+U7vv8uxd5eXlfc8PPm7i65yYKPBE7eCdy009mXf31+/V7ZE/i6UfygpKWys0tuRjHR0CE4Y0u632xY55XXlVA9QnUnn4qqhZ/+mMyk4h3VqC4lsmp9sIZ4u150P6sx/5UmkbPjROaE4W85gEKjWObUgtRupULV75XRi9aqv3pdnFdgt/I9WVGyhtZyszN+kMZ9lt+8ZdG0lPpnidxnvTQV/Ub1qTNtGZkOa1cZjw/QwKyvEn/MbMxz7FB+1EWzf33XUOg9FAo9zn2aVV5aIqr9XtkTvWxuaM5OZlOntCSlCFNSJcUlJhMD0Vjs1cK7vz2/wSTS33B49+fr5Uwa4fDGSV2NpY1nP2/PT4DMKGvueySO+9+2G2OwOGNLmtdkqtcUWVGKrCRVUV9KHuODxhPRaJTfWLPrcVUkwOgg1/hPDPBhu4P/pRitHr5sIVeodp5I5bCpFfiYMQVGK6eFCy59iaEw2ct2GPYwQ7ClrC91rSrNNDVKa8zr+ySPc2YV17Q9L28eFGzVXb4qTE6xWRZpEvinQ33T73tviytSmWRP87Hrxr859CugBWy5mI4Z1AtHM82XCqt2xR2ExD7NY+4Xx54yaYQv3h4/RAuxvqFLWQpLpaja29syMrUbB/SavGkEampdtrsTo7QA97y8GfqfoVBomtdkgEJ1VGSJ024CFApvao3GEzUFDpfNG+kMUuKj8rZGPit9D1T2WL39NcHCHhYU5CrFnqlbAm18dTcWImAJMxzDKlpr4qqflgmrQjjjBwJb0N9hfIidk9vg5vvJN645CRNlRk6uqz+ptaMdIuVj54Queneb3dsrzKZMZni4D2P/GQOqhwAAFBqtQclaWvQAAFg0VlcrL6+Db0SuepbJnORrM9Cdhsdji/N5ZUWCvm155HwBdEEbs24t9HMBFGbN9CWHuHH3y+MKBWUoFGqKfdBc5ykTrH0mWPtg0djMxrwcXuGt0keNUr6DMQeK2zRKzc6aPM18qSvMohFWhzlWFApmL3a3/WtPg0Am3J983EKhWtSJtVq+aygiMC1hwqLGp11oLCd7B1gT+zMg0DHQWCy0niLbu6DVrbKiFKrXFAyRgkajfF3M7j+taWtFb5g383553KBgS1JcXPmfn8gcjuOH62D2JXLpjscHyoXVQaKOZe1o27e/RhNIQ0WZKLSNx2SrvLRn6M646qd6VTaxVIpG+Fh/9XpRc/lFSSadzFjj+sHXp54zaYQfNoV1JP3acv+n7i652cINrPAP8Cbayg4YIoUxPlytkMmKktvzE+ByjojHWrKo8SliI+s2VEqrW4BnrwZZo0hr+KO+vp5Op+v1aa83VSpVY2OjSqUikUhD/50vUzxIq8kqEYRN7ypqKzRroY6tf4LIxNZrD2FItKE8xhBseVZXJBpR4qqfznKc1EsdP8nHalCwJavhlu0/SOZwXDZtgINOW9Ll/NKkyxYMJpH+zczPNTN3DU+SW9585XHZxZjSY9fyLsSUXogpLapuragTkYhYYzpRO9zpC7Zym4qe1mWVCavg7DLQf9RM81Jm896Ew1QV8jlgOyzYEH06nd/asX99mDF9+N0BEhISdJnCDZDGO5rYlbRUptZnLQrwy86T9WxYCfcQKHiVsqIUcdpNpbCR+/sdZZvEcc2rSl5h66PTHdLOug4zd6t26yWbjEJeQ+OJydz0fUn/YRLp28I+6tuwefABHY0NsQ0oE1bl80u0gK3SAn5JftOMBW49PWP7pwoKC+nJP8gAeezaL7sw6L3xh+Uqxa4pG8lU+kg8WTqmSQtKxjHoNGcnLd/05Pjllz+twcgxSJG4xcHLcUAdvVrdXVHSPNbLgkoj9EsYS3PutiReyjcxPmNtlCIolqsUER7h68avWOIWTlSyefWYnDz5vSfColyCqsEBabUwY+HKJIX3yp4IJGIvtgsWjdUgcunzJ+35CZSxE7U33css5m8//pRJIxxaH3b1dCaFRnh1uQ9kJRE18v3TkwKZcHVj29g3v8TSTUduAExISEApLAVNUh3NXQcKso1108NHwpRU62VrOiuedjXX0bwmAwCYNAKk8L04NtPcvWKrkrWArS6xuOCLXWq53OeHQxgSCQBQ0lwZFX+IL2uZKVXNbhZbLtuO7899VK5QCSXyzGI+iYCVdXaR8JjBvdZQaBuPyT55melqyZP6TL30qVD4SPfy4OZlUgu44ws7JlgEHrvN7cCSfvponOS3rfKafLjcIlq76LJiR6HQ5DG+OGN2e36CBmzZmFHTCpp4VWRLrDAbVzbJLnAUaY0U0iotLV25cuXBgwcfPXrk6+tramo66Kd932xtbfX19T137typU6cePXoUGhqqBbf9TyEtBFF/eTadQATlhHtMIn174DRZziOjsEiKy/ihr5moHqGq0nT75uZMOimR+6xXv9VeYCvIk92r/KExR9bUDduSLlc+vXLY1oRBpH03awcJR+S3dtxOqvz218wb8RWp+TxukxSgwHh3Cw6bzmHT0wubymrbYtNrH6RxFUqVkzVTS4VFA7bEaTeZTv6zfBY1tQsyB+6fDSM3va6ipFnkUHWp8jpVhWztpDiv+DIhp/FGfEWYj9W8YPuRyJqOjsloLJZkY82PeSTnC0yDJup4cB8L90Tus/y2bBeKT3IOf5wzi2VE1lwiaFerErcIUzMkVRKiMUB35su5hYhMTHdwLeUzrMPmcDydAQBXC++ezr7MJNIPzNpuxbAwkCpAoUNsAzBotBZmq1/P2H7msM6O+tOfElAqRkQUk239deLRWnHD+sB3nEwdRujhGoqxNXOcN5y2BzWhDXUKzS98UktQ8ZtzzYneVqz+F0iwFziVRrDroWb7Uwi/NEJZ+aC8OOGsHTuVBEg44oKxMz4NfZ/ebXU3oX7PqWex6bVZJQJuk5RIwI53t+CwGUwivbyAhLSao2lttZ0VN/LjhA1UMpZiTCeS7TzgfCnJuDuQ8axcoTp0MfvcvWImjbD33aDUmLLmJulrK3xN/+q8fr3oflx1apCoY7rPIqpb8IiOgWFhYcIWWVkh397ZdFCwrh18wH7houdFJoE+nVVZOGM2NDJ1dzB5lF4bl1m3evYEEgGb1ZifyH1mRWf3opG6ESTrvQ+7RCLPfdFka2tEjfySc/Vk1u9ylWItYuRbX28ycxXVNagXKXgjvnL3z2lXHpffSqpKzefdSqq6lVR18VFZaj7PzIhsbkzWArlQKLTR2IlOSXeyiCCnpaKkpdLHwl1HjbxELt2bdzbOqpNmbcNuVnYVFPhKykI7S2Wpd5AOOTNoMSN4ibpLjSERe/KyiFyuFLaqZLJuRNW3Ro8340DuXNlUTfUIRWMwfmPNb8XXdY4RNnZVDUszj5cDaaG6u7uH9+8tWLBg5syZK1euPH36dExMzK1btwb9tO+bHR0dxcXFfn5+KpVq69atAICDBw9q/7suLi6lpaUvfTohe+8TJiqRp306cc2dM7ffZtTavH9Ury4o2pCcTFx/clMSVnGLRfM0H7st7MO+zqIXYkp+f1jKpBE2RPr0dLerOnmKd+eew9pVUJssryuu+XX7fjuWFIPaPXkT6DA+di0PaoGZNMLcILuJnpY2ZlTNjmIY4nZFUm7DpdgykVTBpBFWLfCYrLUfjryuuPHcdgCAycxVjIC5ydz0I2lnAACe5mOXuIf3ImYQNfLTD3EttfKCgHuOnYp38NZjlnwuVaLe2PWASSOc/Hz6CFmVRkVF7dq1S8cvF+yMEj/PG3f4oI41RABAdmPBvqSjrqbO2ffsmDRS3x/SJRanr1iJY9C99u9Bo9QoPAnHNFMj6uit98zYtDWbQs7lXoMOVTsnb6ATaUP/yVcL714uuANvITQATReiodyeOef9b754ZO9k+uZ72ta73Wok88hnJrKq+rHLwl597UF5/OnsS8G2/hsmrhq5h0uvNPVL6OZu2ETmcMYd2q+9C5BKpdz5+0cVBDReQvt02hZPh/7LQHs23zFj097bMkkz56VFLscx6MwZNlcUdc9pRABAhEd4uMv0qrp2zcNlx6bPCuQEuFmYMoh9H66G5vY7hUmZsocAgK56R1Wjw/wQx5Bxlhw0n//bDs1z1BNjpRU2nbpVIJIqwnysPloyTi5THvnySc8Tg83yLBSqzQqq7aoDwy6E75umLZs/+27XIzM2be3GUDRmSPu6mhMSyw4eZnh60EzrAQCasVRTJz35+fQiYcnxjF9Fckmwrf+HE96GQyK0cBM/z7NZFmkV8erzpuLf8/6oFTd4mo99C5ioUm5Q3ELMF2/UrJCTnjfCywgA8HZi2ZrTnDlGZkYkQVsnACA2vfZ5eTP88uuzXBZPctQyFnWrkYYLe3/p5D6nERlE2rqAFRpjuf5HdTWSWpd1Lvca7Io71WbKhoOJdCF3DSm7s6pF3aXH5cIxmQxPD7qri2lIsMa1Dtplk+y8LJZtR6ExJ27k8/KuF45tsmVYHZi9/X8EaWlHIMOMtFQqlbu7++PHj62trevr66dNm1ZYWIj9qw7S76cAAC3/BQBw+/btffv2paSkjCItAMBHB+JqmltIvk9sGVZfUJyPPCne/OoUqkfYcNJmMnH9yU0P8cpYE+pAYCuzmH/4Ug4cfFfMdTM3Jv85YHl7eezZBQFQ3bntZ21MywloL9Kk0mwmHGIgb+RmbzLoacRn18OByY5N375ygrkxWfsJIzIRxS3EbOH65k7Rhbw/UmozAQC2DCsbBtvFdAwVT46rTi1oLHfPmi0ybgihJkw0dbFYtl3djdp1Mu15efOu1YGDeiK/mCn8T1TEZAacPqF7274z2Zfvl8dZk+zKE5zDfGw+ecO/58obTgl90duDGwXpyTVgZnWBqGigXA8v2Go2CnlY6bRsdYDTwFdbrZRX/hqNaSrOwXgt+mRHg5S35WE0k0g/Nv8rzEjO4kNEWn0XG1pCKW3dfePzCgIa24VZ5fnhNO9++tXA7GyOmgFNQSEE5wdQLzqRAQBBNn6vey9uEQANxnp9lstUf1stT0pPemPn40ON7Ty83Exc5AFUeACAqwXuHeQSAWkXOc6RjJkB0Jie07/mATl+IEHAk67/YirccihXKT66tU3c1fG5QOm18qBee5+HkqaEmLKEh2WLl/t4+loN8YClBw61JCVbhU9SCxLoAXNNZ67quaSEm/JkXbLDaafz+SVwFTfPeRopNrP12m38+HHcRb4xFYkiuQQAsNI3MpTA4v+6E2/GsVq1H4JOzWgJczQ3yL5fX1AIaq89Ka/hSQZdZHarkaYL0TmCkrOWTDjQrfZb1m/Fv6S58uesC7XiBgDAnqlbnIztd51Mw3KfraAmAwDoAXPpAa+olV3SkhL4/daMvxnbagri0rLyLrFEnF/QJRLBj8gcjvWri0xDglEYTEvMKUnGPaOwSKPQCARRR0fvLTFhIKzSPVO3GKBDGEVag92ypaULFizQ/D0XF5dbt265/OWo1O+nkNMa6L+oVKpJkyatW7fujTfeGEVa/NaO1V8+GuMnaMRk7xy/ivz71yhTjt2a/cO+iITY5ScGqCDj5zhNecc3ot9x4YcruYk5DQAAb7pyTvZFDJ1hu/crDJ2O8Mpkf+w9ZWVSRcKomjhdta5MGiFyuvP0AFu9SCO5QnUjoQJa4WtHQnDc6azJw1CYJtPforgFN3eK7pY+vl8e1/Nrrh1jMAVjQ2mP3LztzBauR6ExcDCdH+KwdrHnyCVOqVTi9bHThLDVNDTEZctGXVOmRmCLcXKXhTDHa9fqIM3l4t29V3XiFDt8rsOa3oRQSWn95RO5jZwC1wCWZrE+jAHBFqTKaHiyKOXa7XtNNUqHjz+wpzv0vzWpSySoP/NZd4c4QT528SdfoPHIlofRIrnkx/BoM4rJiD5f+qapn/sQQTJWru0SiXShJBGZ+ML5zbcYOACAFyns8/CIXte/trr17I9PZy92Hx9i3/A4tubIsUpb/J0QJgNL2hz2gbqdqcFYkG3S6+GCjgz3y+PoBNo01uL6alxeRUuHtH01Ld4FxyvtYh+XTlMDtLcTa9GkMR4OJvDg8JTcfSxffcMXHiQ65ptCcd2yNtWCNw+8AJilSZNSofrh6zgAwMYd04ZIa2myZupjisO1WK6IJtq49gRbYT5WcOmSzE2Pq04t4BWHZbePK+ustcD9MZnZjUYxifRX3OZMtp+Ibm2qP7lJ42vIb+2IPv0M5mjzcr9Qb0uMDqfac5EZ/V7QQHbtcNBrrs2PMzdOoWAAAEwi3d3M2c/yz6EsqzEfLjg13CcOhdt//GFwy1UrrAhDYZq/ukXzS/W6XNKyspbkp7w79yDect60gWxr3XDqE6WAa73mIN6M8zi9+vsr2ST/WFuG1TczP8eMMM05irSGhLRUKtXq1asBAD///DN2MIHw/wLSOnEj//bTMnj7ftJJkRUl/6ryGuIqfMDhTMDlntx0xpJZQcZHeIQvdp3d79NSw5M8ji+yvvIDFZEf47wixlHtsYKP6A/gf0TEJjNMl8yeaG/HNlzCXFQt/PqXDJFUMT/EYdUCdy1DVXtBojD2F0QmwlCYzOBXcUbmOFMbRI3weaVKARfkJcY1TmhSWWqmeVggsGPTv984CYMZQW85A8gSSGC47tgGrSn1AlsoGauj0O+HLVPs2HRY0uqXIStprtz5+DuX3KlkLOnz6Hkj9Nsh2ILyLyKKtG/bAwts43T6Q7wZx3T2mp4DPSITtxelCGNOAQDOtYdErF1hzcZDmLU+8J0QzviRfr6GzmkBAOR8QdbadTgm0++no4N6TyAyccG1/YcxgnYsBtdNCHedNs9lsqZ6C8u7xuZkM/8aq8N3ZUT02QUma70WmFD8T1wv1GAsSCobdraw7gzJmNlOk+UKlUjaqXh8HKlIQxnbmM5fT7P+f1WcGlEf2vtYJlV89tVsPAGrUimjH3xVJOOP60Q+XbL/xcCsnmn6v/bOPK6pK/3/hyQkmJDFsMm+SaJGwCAuUZRS3K1Y7LhiF1tbrVOdqdXXtI6t40iXGS39VTutbR2nHbdax7pQNxQpCqKyiQjIJltkJyaExIQs/P447f2mLDFCEhJ43q++fNFzc889OU/uPZ/7nOc8pzDv4akj+dFzeUQK4n6jkcnyN23WSKXO3ojpjfz/fBB/HZ1Oj33exMOnS6cr/Nvf5XfvdfH80ZvL6E7OPmxPlxEcMolMONe9XkpUjwz65nQhfhFdFBX00oKxT/uS+d/zJckZD7BEM+Lc6rh3rfnM550OKHvC5GR5dbejfmzvqb7C5/iznCg0dVvjtYP7gjvvY1eWy6xXBviK3qXT1Z04WXfsOELIdUZU4JoV4v1vkRkc3w3/5G9jugAAIABJREFU2vXxP1oZM8UOeY4+Fda5eYeX0jLj7OFTyazhoLRUau3Sbedc+XUKdhF2aDHGRe2/224hpYV+Szd6gI0q6NS+ppaImSnnNzY+8hzNKr/IrLhw0Mel0ok81pX3Qcwms7zNyDrUuw/nFpS3hIe4bV090cieXF16naI4E+ut7j/OLsoPj14MDHF5cb0I1/nWnjSpXH145zwTN/my5hBOzCGaMmD3FFt6pbNTvejzNTMq33u3p4ulWdGGJ1g5Tqy5+viijNZ1W2Z6eLIs9PUJsfW63+sXDt9f8fIEN9kNnBoRIUR193d09dW01uH9j+VdI/7VPuuNNfN5gXQss5aNf+4PgoVWuMXMorQIlyTeGuiJ879del3t/5KuNxdcHUnvoJCJAdKX7Vn3SKy5x3VpChzXdtzzkbJj2USvKWu+OX3fLBqLoF0lx/0c6jHmT1NfxToPR94ghBjjorgxCY4cd0LZYB/b48aqxNQ95RR9iFq/I/5jKtN6gc+EmfQ6/TefXW9ukBMTrOYSW9xwP5/Xfw04I8RWgCfrgxdCqv62QyOVus6I4r29ydC4+k5V3Zd/1CmkLit3nq+gYE98eIjbxmUT+m0j4iXTuM9SI21uOvEJvn3oUX/Q8yLaKRS6o5M3axTWfxpJvTT7grIkEyEkp3mMfekvOPDfPANTU3PNoSOt1zPo/v6BCXMkV77FA9PSl976y5e/jIi8YoV5f9tXWmZee0gikS5fvqzRaMaPH3/s2DEymbxkyRKEUHJyMoPB4HA4PY/2esrTyiw0DNYeXrxZnVtW3xV0y4/tPVvcoGmpHbXsveu3ciy36QGJ6sQKfYZXkFWlU97vfFTaXCb0CjVc52IYExryXCyz+JSi+OIRH9cKJ3Kox5jtz2w0193lRKXgvBJXbtdeza2bHubl3EcqHQcHEtXdnzN1sXNYDD0onObNc/LmcaYuHvnMqibX2fcLG+cvGe/i5qzT6T/8LrumoX3H2qlB3hZ/F+9H+gCykxPO9yMvr3CbOcPETWbw0j+l5nGlvEzPqaT9+5KzRMbb/CfOhHBCY10oT9udsb9OVj/dL/IvUW8Genveul5FJjk8VSpIWYda1tGpeKzB/zkbzWw0zp3nyXRPr75Vn6mnqunPLZ/gHBSKt+GjcDxU1YWallqdQuYUPvf040kHGsPi5kwQTXCxssxCA8jy0A1GgL+2o6P1egYikdjjn5C/0cGBxBFMHxMwcWyZeExjNVXfxdXoyroe18nqZZ0dQWpllyxgpKJD6uN3sHF8as5DaYd61Vz+n1ZEzJni7zyAhFIENAptAe9ZvG6XWGE3wl/gHBajU8gUxRnt2edUdfcftzUfPtlGH+HwbGC1JPPEp6U/V9BIY6gj//aHfzqOcLbmk5AwkwPJwd2Tded2XbtMNS5soNmG8W6b7fdL5eVN8mpZR/EtrugZEoWC11w7NdWyMi+Qzv6gV6l8ViwLXrfW8JbUd6qaTvyjs6VG7BW75Zy2sLKNw6TtfEO0fDZ/IDZyG0lfIAooq5XeLmq8fLs2gu/OYdJ6azmDKZxFdfHSPGpUlWRp81PJuZf12Rc6xaWSq4ceXT8uL7iqaa3LVQfkcec9t2mLI3OkGc1BcWa4ThMhB4e2jExp4QPOhPGqypt39R5Ln5+fdbdJKldr6A3eLI9+7wtiL1h77WFpaenWrVtLS0tFIlFiYqKPjw+We3v27Fm0aFGvR3sWYudWt2qHs09Lp9O/sitF63pf51a6ffwfnE9/abiwxaJ06XXNZ/aeaci74uLMIlFfnrRymt8kMon8fzJrxTJuqGfzmc/vONN+GMVGCBmu0DEvv+SJPz2SixD6x1tRpoTVG4Ijebf/c0EXQvglddVc/so5Y2zZ7jjCutcQK+M0K9rO/P3dcfcld3gj0iOZoR5jEEI4nhf1iJ8lesZ4vEuTRFlSLckubsRzIt3gMGlho11jJvqG+HJ69RFWNtce+cfdDlbr2EX0lWGLu23vQ7y+r5rL9+W34wWk1pRZZr5rdLo7b29V1tSEfpLIGmtqKIy6rTHnymXZgyLFYw1CqKPLqe0RVUmb6NQpy3Ckh/E8Zk32myoYZaEVsnn19/AKO8Ofh6quRJZzUVGcka2YUqoeF+N8WcNqOjyK1UEhj+cG/TV286D7Kg7tv1lV3kpE6A/ccI0XL9X893udqpcNf8pHBl9hhcscnRdFBc2Z6j+CRkEIKaUSzf+2UzTy88rwS6rwAE/Wmy+EPe3TycTn3qq5/GWxPCOhDp3NNe13rugU7QghRXEG1d2f5DnmQC4qlrOfnT7OePTFAJHk5Jbs+ggh5CZ0pnEovhv+1dKhX/vxhWHi1rLq7CGBWCzGKor4Xy6XS6fTez3as1Cr1TY2Nhoe7fn5YaW0iqvasCfWj+395zpJZ3ON7x+/cuS4m2u+48ku4rqSS1e+OkNVdVDIzC7SGo8IpzN31FX13Al+Ktf2Kv3jdBdmgyOJ48RaP+lF40uOB94VxJBs/KFjiKJD/emOy5OjAmbHjbO+zOq3mQy9hn4rlpl+Yu0PP9YdO97qPup7fiBrlELp2IgQCvUYM8k7PIDjG+ISYPjUw7NCfa0H1On0pbWPiOBrhFCAJ2tamKen66+ejA5lZ0m1pLZRTnyAyOJhGJ+Hr4ImN9xDeei3EF0nCk2n01/Iqv76VCFCaENCYE57WmHTfSv8kMxopl4hZqOeSmz9eruptQ/qZS0FRZT/fF7qGSVmhPz5g1gWe4Sle6BdJf9P/o/Eut1VYc/7sD3dGS5SiXLvh1dZHKSfVn6ztQwh9GrE8tnBMwZl7OxmJtw2w6wTA0ev6az5crvkTiXZmTPCX4CQgyOb5RW3CHG4V7JrL92sIX7qnuRHG5iXWSTVeWX447ELTFxY3Q9kHert+29UN7Q/lZIjlj2uiw99LirI4r+fkpLCd7dTnOkXeaP/KPJxnfPa7sM5N5rSh0O01uAoLVv7nvbOxj1pOLqwm0PLakoLO7fai67/VHjuF037vBsyv0ZNVijjduj/JWmc7he5btJqJwrN0i0hHjpPDNsiuJ1RdfFU0Usbph64XIbjvRLXT7OLIZxYGGX6gI1lFo7x+vFaNU5+9sWWmL46qlOt/WTbxZ5jlaxDff5G1fkb1USGjqWxvJ4p0Lrpg4w79dcLHuJTOEzajHDvqAleQV7s7/ZlYs9ZmaSKWHbOIrt2SGiqRyynke169q+usvkhMS9NeMH6o7jZ76aBiC28lAEh5JX42aHv7uLoKOv0AxHGR5QE3J/i3O5aGn5VQ3s83S9yjXCZWZKumctMOB2G8dQh/XjcNZ/ZqyjOIDM4Xq98jCPVCKob2mvqWphVaZyKCwghh4Xb/EKFFl1Vg995iHeSmULvN54PNfLoa5Io/3u+GLuf+zEDMECxdSUibFXXXf8NSY8obsPErQVKy+5pkiiJH+sHzRrCoYUQ0uv1JBLJmo1pLykp+WS3VirTzBTkR45ycKT6sD3Hu4/p5iaxNDqd/t9ni5IzHvRMoNoreIKsZRS9ulGOE+RY+rH4u1fkgZmJGLB9Vy73XfqCkSDrLp2u6uB3DT+fZ4eHjd32FxxKT2SaNZKh5+ThvKL8emIKpriq7eilUpxLqX8ZOqob2rMK6wmVNgKh8YhMdqNTfVg+7s7i5o47D0sfMyvJzDYHaic+xY/tPSs4KsIr1NLZHCxkJjOKLUV1TdGOv+OznHn8z3alIoTe+dtsq97pKnm9vLlaWnevsE6ZOZIVhGbGB2AX1+A+D3uaCb8qMJi0gWd86AaxMoDq7s+NSXB09cXlHYW/4HIyg+O56gMzBpib8p5JrGrsloODeNspKG/BIflPFGSWoCX92v2kz6kjkFeMn8/re/YczR8Obi1QWnbPN6cKLzxIcfSpWB8yN+DCIcMIrZ6vdzjZibq5BSegU9bW0f18EUKssXyahwfd19fJw71/zdCpVDWHjuAcKk+VfcBy5JQ07TxwEz1pjU9TQ/vXe649RPp61LUuPnS+KMCaMssszhKNTHbv/Z3KmhpDCdXdpdTUXPGvr2QFd3uueiPiPPpKA4u7KHyKL9mLiRP0415dNZc/wLdhWYe6vE566UyRrkV5D+keE24ST5bfKObC6YF8v5FtqkcsmrMVvKFW9ml18049USgTA1VZ0ucIIUKc4SydFl0f2qes+X1mB1t4HvZqJsN1kWbWytJm2e3k9uzz3cqJ1H0Og+GnMXwXIuAwafjOxffXOwkTA6z+gyFsNCvvLpWFxv7lTwqvyOHg1jKuQCgIsG1Uam3yjbIRkRUcJ1ZwbroOIW5MQu+fbGpuTvsFZzcxRFlTgxBqvZ5BlLjOiOJOmsgcM8ZE1YWjRB9882+EEN3ff/yuHcQ+DINL5FiPEx8txAlU1354uecbHt7b5+rPJRyEOhmO+96cPliPngHiyGZP+Gx32Wd7W69n5K7746j5c12mTiESNyiqa8T/+wmbuOf6c4TQMxE+UwWjcIaetR9expN6EWPcfT2YdU3yjseahtYONQkV3KrLRToWk2Ykk/XTwnamhQW5nG9Runsyf9wSrdPpOx5rutU86G4Si8II8J/4zVclH35Sd+x4242bY//6bl/3nU6lqvjiq9brGY4cTtg/PyY+Fh7pk36pLP9m7bz48VZu/PXUCoVcHZ8gtBGZ1ReCcM+Us8UXTxVNmORr3qY6ctxd57zGfSZBVVukVyl+HTjZbjRvnsPgiYZxgS6J66ep1Np7D9rScutw4bX8hzOF3pPGjRLy3Kzsx+qJ64zprdczq775XLDnyKrZguM5zdLgu1l1ucMhtxb4tOyPnzMe/PvWqV4dWui3dMmG3iZHDsd32QsjIyNpri6Gw62qqblT0iYtKGwvLpEV3O2purp9Hj/3ZfeKpPl3iJoDX30Z771ga71U3dB+4My9bm94GBJCExGZ6kz987ZnnQZptBh48nFDh0fVwe+JDTF+/2iL8n8xwbh6bpIoz6RXEnFUhniNcPR+rJ88e/Ts2Tzz+vywv8EsG6fYi5l6fV0h0jyyw8P8Vi5j8njEraSormm6fAXfaL26LU1cH2peiGDzgW8vaAUzlZc0HTuQTeSvBwbXRo5k8u2X12jlCt/FQveEd5duS2ZMvMZiUIeqWwtmD+0YnU7/8q6LnSEpbAZte0unrrmWSF6M2blz58aFz1Xs+1IjlbLDwwJffcWUbYm7dDplnbi9qKjtVrah6sIuK0cOu2chsb+VLXdXtzc8TIQ3J/Pn+4M7zJt9WkpRXdN281bjhUvs0PEIIdZYPiMo8KlirvGkXsdjjfvIES7sEQghN7YTjgcye7ALVgm2M/1kNTP1ariqg991u78MbzT/lxJ6nZcfFLWKEygMyqxl/8zUbU9GYHBthPdLIDki4b/+36kCxfGcNGrw3aEarQWzh3ZMfllLB7WGSlGv9HtGV3Ro5MzlPbe8wClMeJv/5BZt6j7TDmQyI8CfEeDvuXABVl3Kmhoc1yUrvKesqXGdEYUQcmSzOMIJzJDRNjJX+EScaJTIsR7douP370lHCPEFHkPph4HN91R5H7rBdqb1XEYQOc0//VJZUUGDGYfz2ipJc4M8ei7PxmWW1Qw3/u87dCpVc+rV9pL/ey6P8PF2j3nGiD9SEO556kh+5tUKqymt2ipJVXmrQOjlYT8T7itenbT3w6s/HMw2Y8YHoP8PZA/3oPVrHuz/T9G2d+O//P7opRJSQNn3+SdFvhOHw06IoLTshu/O3XP0vc+mMXGEFntKHHEIZ1pCZMQOD+O/8+d+iyFCdZku1OwIqUTZ3CCfHBUAw7wpiKKD0i+VpZwtFoR7msutdf5kIa4ZupeA7OTkuXCB58IFpp9CIpOi5/LSL5XVVkn8Ai2+9Y1epz/xfS5CaNHSMDvqWA6XLhB6FeXXW6eXgCfiOf+5ltSL8vKG1jNHVs2dcjynUT8so7VI8FOwWYqr2sSdZQ7UzpV+03TNtSNnLidRnQxllqzg7gs6JNix3V58TtYn9fx9hNDUwR7mrZbzbIBQaZTouTyFXF1U0GAuv0hzg1wg9LILpWvjZoqc5o8Qys6stsK1Us4WK+TqefECGzSccTNhaXji+1y9Tg8PQFuw0dgPEkmOqObI2YXhLrq2UUhL+z7/pE6vA6UF2ARHLpU4+t5nUpnBuenIwKFlmDf8JBnZeOzUINKp1hbl17t7Mgc9aGPnzp320mnY+ZRyttgsAxWWBbELxtjFd7dxMzGcadhhI5UoLXqhpob22xnV7p7MSJG/3ZmJSqPMixco5OqcrBp4BtqCjRxZHP+VcQihB4k7Vs0d21nDl6nbs+pyQWkBg0+TRFkkKXSgdib4d3dolX22tx/bswxDstIfIIQWvBAKXWE6xEA1cLdWbZWkKL9eIPSC8GRzMWl6APrNU2sh9Dr94a9vIYRWvDrJdtYbPhWRIn8Gk3bxVJGlJSlgIp7xq+ledEVt0wxt1fB0a4HSslFO/VLu6HsfIeT/e4dW7Q8/tl7PYIeH+S59ASH0/vvvQ1/1NWDk3KhhMGk+fpxBb4x9mQkPVKeO5HeqtQOpB0do2YtDyy7M5BfIdfdkWtStRcwb2qw+fqKZSGTS6nVTEELJP96FJ6Et2MiBROa9s4XkiGq+PvDO88PRrQVKyxZRqbUX799woHbG+05xMHBoSXJy644dp/v7ExnAd+3aBd3VK0UFDQq5ek7cOFt4L7cvM5HIpLjlYQih5BP9H6gK8x7iJYd25NCyCzNhH62F3Fo2Pm9oupk8PFmTowKqylsL8x7Cw9AWbMQYHe45KwwhNPLsv507/ZGW9n3+/4aPWwuUli1y8pcy7NCKzL6OfnNoKaprSnZ95MjhjN+1A2KzjKPX6VPOFjOYNEG4J/RGPwgZ6xEY4orXcPXj9E61Fvc/LDk0O5Zzaw2BeUNDnl0whsGkpZwtHqBrFjAX3ivepHugjrIHr/urOmv4MrV8+Li1QGnZHCq19kRuugO1c7FbKLlDih1aGpmsaMffEUKCnR8YrjR87733oMd6gh1akdP8bWTAsEczLVktRAid+D63HwNV8om72KFoX8k17MVM8QlCZIGpsVPH7tj4vOFTmYlKo8QtD1PI1QNxzQJmtJEjx90/YSnJEVFOHwlGvl2d1OHj1gKlZXNgh5YzxXlyYS5CiD0lrkuny9+0WSOVhn6S2C0F/Mcffww91vPVPOVsMbKlHE72aCaGMy0+QdiPgaow7yEOhLfxvXfs10weniyB0KuqvLW8pMlcdd7OqCrKrw8McTX7Ds2DaKYBumYBs9to5IylbhOYCKGltZe0tbzh49YCpWVbqNTaE3euOFA7V3mEkjukLnNecyA7Fu1M1EilviuXP9V2K8MW7NCCpOQDJzTCG6cVSE8pM/GU2irJqSP5DCbNvjJe2h24e88ev2uWZBy1VZKLp4oYTNryNZFDrKMG4poFzI4DiTzq+VfpHkjXUP9Mm6ark/qfvP+ptGpQWoBVOfFLCTWgxJnC8E8/Q2ZwWBPn1p04KSu46zojCnI6mAIRoQURQmYhfuWEwBDX9EtltzOqnvhhRYcaJxZf+vJEkLkWhUqjYI8jdt8OBMJqr22aPvSsRrhmj/8nB342toDz+JmuE/1Ijiiy8vqICn95p/zn0iugtADroVJrf7qXghB6ycmTjJDbcxtar2fWHTvODg/jvb2p11PsJfm41cjJqrHBCCH7NROJTFqyWoizExn3bDU1tO/fc00hV7/y1jQ73QjFvswUGuEdGOJ6O6N6IHOIig41YTV7WSX6tGbCrllYh2g7Nhq1/D0uHyGEVleVdXUwfrz3c7OiDZQWYCX2nLju6FPhQXP1u3OD6u6v1dDLkj535HD47/y5r8WGdpR83Ap0qrV4EsTWlhzatZkYzrT1W2a6ezLTL5Ud2n+z55I3vU5fmPfwazuXWfZoJiyCjx3IVnT0Z/6FkFnz4gV2ZLV+mCl+5QScIg5ymdqCjRw57pzIKLoHYshaBNlMhNDRgtOgtABrUN3Qnq9MRQitUOgRQiOffa3w3e0IIeHeJNjW0ERw7Hbc8rAhsEbd1sTWG2/PwI6BvR9ePXk4r7ykSSpRNjW0386o+mxXKo7N2vTXZ2FbXyvbZenLExFC+/dce1qxRcis6Lk824+CH+g491su0x8OZsN+iLaA28I3R45hk6gOsxvu0sUuN+py7rdUDuHv69DV1TU0vgmfzy8tLbXTxut0+je/+kHqdl3IDFief3tEiKjuXAlebAhR8CZSWyX57osbAqHXC6sjoDcs18nnTxY2N8h/N94zaZHT/EXRQRCbNSiUlzQdO5DNYNLWb5nJcKaZckpTQ/vhr29hmRU9hzdMOup2RtXFU0WTowLmxY+Hn82go6zIFf/3o5YC9IjBPbSI7OzE+mbxx2SSvaaKNK5A4NXfJriaX/2IfQsh9Ifysq4u1HZXrpFKg9547YkyC2YPMXqdHkf1znteYIPNGzJm8gvkrt8Svemvz65cOyk+QRifIFy3Zebb78dGzxkKKz3t1EwhYz2i5/IUcvX+PdeaGtqf+Hliqjc+QWiPMqvfZooU+ePINlOWdwCWthF99ES2MIrlj0YqJNPTqfJO+X/vnByqHQJKa/BRqbUHs086UDtfInuQO6RaSris8J7ncws8Fy6AzjERYrM2E9/pgYHA4dJDxnqERniHRnh7eLJgrnbQiZ7Dwyvsvt5zLT2lrK+MBk0N7fv3pOOp3nVbZtpdwrOBjnZk0vI1kXh5B2TYsgXcFr7JDGDTRlImNjz0e0C6UJ5WKx2aqxZg9nDwSTr5y03tcT+K24b7RSqFx6OiJnZ4GLGzoXE6OzupVOowv13x7ElgiOuL66faZgvBTHaBvZtJKlH+e2+mQq5GCEXP5QWGuLLYTgghtVrb3CDPvFqBp30nRwXYyH6gg2ImqUS598OrCKF3ds6GF7NBt5GyIvfh4Y/aSig6lfabJa4UFttO5xBh9tCmuV1cn6U8hRBKqH/YKUePipocORwTZRaCHPEIKTrUZ4/fZTBpOEWhbQJmsgvs3UwcLv3t92PjE4QMJi39Utl3X9zY++HVvR9e/XrPtVNH8vGG35v++uy8+PF27YYcoJk4XPorb01D/VpGAJjdRvTRE1nhUZxALUJoVbKsQ9X+ff7/hl6HQATrYCLrUH96c78DozNe4zzi4YO2EuTI4Qj3JsEG0iai1+kP7b+pkKtXrp0Er6cAQCKT8KyuokNdXydVPf51GtHdk+nm7gzzvBi/QO7KtZOOHcjev+ea6csIAAvhvniTquYeSylFNZrFqR1nUNo0v8gxbsFD6sYEMw8WOp1+24kjXYwWgQNXeO9BWwlCkNPhKTny7W38ph4y1gN6AwAIGM40IpYOwul6YriMADxbg4sDiezzehLDA41wd/RveTypSPnB1T3tKvmQ+o4QpzVYHEq7ldz8Ha2L9tfiukclDvrOLsjp8FSkp5SlXyqz5fAsAABs/xnyVAkyAAuhrMht+OEjaQ1D1azICmUUR3h8GZfoRLEbo0Ccli2SXVZ7VnwUIbSxUNxWgPots4ZtlgdCZiW8Ptn2WwvJOOwCMNNwM1P0HN68eIHpCTIAy9mIPnoiN3o5x19BolFEhQrX6raP07/U6XVDo0NAaQ2OzPrnrU8dqJ0bypWae10IIfBm9VtmwZwIAAD9ZnJU4CtvTcMJMmBjxMFl5Ixl3OjlruO0JBp5cbqMmZb/WebBoSG2YPZw8GRWscLxjgJk1lOh1+mPfHu7qrwVZBYAAOaCSJpv7ykwhoItTn3WXpDRUkzuUuuyQhnyGOEHMZtsP+8DzB7aEPdq6v9561MSRf1KpszxjoLiTJ/834MDkVnDar5D0aH+5rPr9iizYFoKzATYspk8PFnrt8zEGeQ/25UKM4mDaCP3xZucQ8LcxukcqGRRoYKZlr/9QpK9e7ZAaVmPY5lZf7+5i65XvXFOwq5RM/nBEV9+ASsNTaQw7+GnOy7jlYbgzQIAwLwwnGkJr0/GYVtf77l28dS9vlLtAxbFgUQetXK7a+xyj3CdI4csKlRM+TH7g5/+YderEWH20Bp0ajQfnDlUpbktLFXNyJcjhDwXPBu4dv3A82bp9XoSaYhrDqlEmfzj3aryVgaTtvTliX6BXLv7CsPBTEMAMBOYCT9wfjiYjfPpz4sXRIr84b1uUGzUce9a0+nP22uRsgkhhM5Es+fFvfHsaBtdaQ6zh4PMxbt5Lx7d/rgx8/VTrTPy5SQaSbDjvaB1fzRLetJdu3YNbY118nDe3g+vVpW3To4K2PhejD3KrCFvpiEDmAnMhBDicOnrt0TjVPsXTxV9tis1PaUMcm5Z30bO42f6vpHEHcdxGYv0VIfF6bL2XUkfn9jTrGizuw6xVI54sVjs4+PzVEdNL7QXih+Kd6cecGutXVnQ4SbVIYTcZ4wL/tP7JEfYAs/o+5BOL66Vpl8qqypvRQgFhrguWhbG4dKhZwAAsA6hEd6CcM+igoaUs8Xpl35d7Bw9lzfKi0Wlwd4qVoLq7u+36Rtp5klK2vFH1citTed2OOvn63mPRMIX4151Z7gMX6VVWlq6devW0tJSPp+/e/duPp//xKOmF9oFMoXiTMGN23nnAholK8sfM1R6hBB7rGfQhrfpfsFw8/QF3j+k8n7L7YxqXCIQek2aHmCnfiwAAOwaYmuj2ipJdmZ1UX498e7HH+/BG+cBr39WwIFEHjljmXPoM4xzX8lL7zbWO/Br1Kjm5o2L2ZVh/lMW/CEyZILtJzg1f5xWXFzcnDlzXn311YMHD6akpJw9e/aJR00vNMLgxmnJFIoicU3unVvyirxRTW38mt9czY7INSLI/7VNTh6+cM90QypRtstUskePy4qbqivaFPJfO83dkxkx1W/CJF94dwQAwEboVGtLi5ru3K7DegsTGOLqF8T18mW7eTAdqWRING9RNNJm2e3ktvTzjRLn9QG8AAAKxElEQVQSpV6PC1s45BZ/T6dxoeN44RMmRAxWPgjjCsTMSkur1QoEgtTUVB8fH7FYHBsbW1RURKFQjBxFCJlYSNQzWEpLp1JpZO0IobzbN+se1uqVLY2PJe4N7WqS5v+kFf4kw2Gkv5vXgriRU2JIVCfLNWnnzp07duywx2fWvo/TCGmFEGIwaYJwz+Axbv5BLkNPYNmpmYYbYCYwkyng8Iaq8tbaBxJD1UU8yux04Y692EjfqVLVFsnu/NJy+0ZrB4n2UG94tIVDVjEZSo4T0z1AT3FieHtFR06ju7iQnZws+pWNKxAzD2mVlZUIIRxZhf+trKwkJv56PYoPmVL4xAlE25phzEXop6tWuM7Ro0eHyN15bCg/eoaOmRCYCQAzGeObY2AiuJUsqbQGEfvaXhoAAAAAgOGAmbM8BAcHI4TEYjHxLy4xctT0QrAWAAAAAADDWmlRKBQ+n3/69GmlUnn69GmRSISDq5KTk8Vica9HTS8EawEAAAAAMKyVFkJo9+7dKSkpQqEwJycnMTERF27ZsiU/P7+vo6YXAgAAAAAA2BGW2o2nW8ZRsVjM5XLpdHqvR5+2EAAAAAAAYFgrLQAAAAAAAAD2PQQAAAAAAAClBQAAAAAAAEoLAAAAAAAAAKVlKbRarVgslkgkPQ/h3GCmFAI2iFgs1mq1YNOhalzoBLg9ARhGQWnZARKJRCAQxMbGikSiuLg4wvylpaVxcXGxsbFxcXFEOvteCwEb5JVXXuHz+bGxsY2NjUQh2HRoACaD2xOAYRSUlj3h5OR09OjR0tLSoqKi0aNHJyUl4fKtW7fOmTMnPz9/zpw5W7duNVII2CBr1qxJTU3tVgg2HRqAyeD2BGAYtSxdgMU4e/bstGnTurq6NBoNj8erq6vr6uqqq6vj8XgajabXQug0W4awF9h0yAAmg9sTgGHU0oBPy1JotdpPPvnkzTffRAhVVlYihHAKVvxvZWVlr4XQb/YC2HQI2xG6BW5PAIZRMwJKy1K/j7Vr14aEhKxYsQJ6AwAAAACG7TAK2zb3Hz6f360Eh+Ph3wdC6MCBA3hj7ODgYPTbzkI4uA+X9FUI2I5NCbN2A2w6NDBiR2BImhVsbUcya8gMo+DT6j+lPej194EQolAofD7/9OnTSqXy9OnTIpGIQqH0Wgi9ams27WsxC9h0aAAmGz5mBVvbr8yye5tCwJ15wUF5huDy+/fvL1q0iMfjvfzyy0TYZq+FgA3y9ttvg02HKmAyuD0BGEYtCuwwbX4xbpjTBf0Wpmfo5Ox2Sq+FgE0hkUiUSiXYdAgDJoPbE4Bh1EKA0gIAAAAAALAUEKcFAAAAAAAASgsAAAAAAACUFgAAAAAAAABKCwAAAAAAAJQWAAAAAAAAKC0AAABTEIvFWq3WBq87KA0z/aJisVgsFkskkp6HJBJJr+UDqRMAAFBaAACYh82bN+fm5lrtcrGxsd3y5djIdfv6QHJysmHGpsHqjdjY2O3bt58/f77nocTExMTExH5cPSkpacOGDf07FwAAUFoAAJjEuXPn6uvrrXa51NTUUaNGWf9r9vu6W7ZssRGvT2Ji4urVq81YYVJS0uuvvw63AABYDtj1CQCA37F58+aEhIQLFy5IJJKEhITw8HC8lVhubi4uDAoKeuuttxBCWq22oKDgyJEjERERS5YsodPp3U5fvHjx9OnT9+/f/+DBg5iYmPnz5+OqkpKStm/fzuVy+7qWVqu9cOFCWlpaUFAQQojD4XSTF7m5uSUlJbgwMTExICAA/7158+Z169bhncJxgzkczvPPP4/zRxPXNVJ/ZWXld999Z9iew4cPI4TwiQkJCRMnTiSakZycnJaWhhAy7IG++vCJX6rXNhvBsEKJRMLlco3UY8rVAQCwBODTAgDgd5w7d27Tpk0cDicoKGjVqlWVlZVYzeDCxYsXS6VS/Mm1a9du2rQpIiIiLy9PKBTi+TXD0994440lS5ZIpdKIiIhPPvmkoKCAuETPDxPXQggtWbLk22+/Xbx48YMHD/bt25eXl9eznbt27UIISSSSQ4cOEX+fO3fOzc0NN3jnzp3h4eEIodjYWLxTOHFdI/Vv27atW3vGjh2LEIqMjIyJifHw8DBsQ1paWkxMTEJCQl5e3ooVK4z34RO/VK9tNgKuMCYmJiUlJSsry3g9pnQpAADg0wIAwBqsXLkSe61ycnIuX77s6+t76NCho0ePYndOdHQ0QkipVGZlZZ09e5bP569evfrWrVvZ2dn4EHH6sWPHsDcIIVRdXX3hwgVDh1Cv1+Lz+UqlsrS0NDU11cfHJzo6+ty5cz1biNVPaWlpY2OjSCTKysoSi8WVlZWurq7YZXXo0CFcA0JIKpXimvG5xuvv2R7c5l6dTElJSQghsVickJCwatUqQ8dSzz40/qWMt7knht9i/vz5AoHASD1PvDoAAKC0AACwHrNnz8Z/zJo1Ky8vLzs7GyGEfSQEuJCQAlOmTDlz5gxWWsTpU6ZMiYiIwH+Hh4fjiTbj1yJqJmTNwoUL8R/JyclbtmzBJUlJSXw+Pzs7u7q6etasWVwuNz8/Py0tbf78+Qgh7DyLjY0lrkJUYqT+vtpjhC+++GLfvn1EJZmZmYsWLTLSh31d9Ilt7olhhRQKhfhwr/U88eoAAIDSAgDAejAYDPwHm81GCIWGhiKE2tvbDSOBcGg54cWRSCSRkZHdTidqMP1aCKHg4GDDmm/dujVlyhSsHlJTUxFCOBxq2bJlV65cKS8vP3jwIJvNTktLO3fu3NGjRxFCeI4vPz+fCJwypK/6+2pPX0gkkn379mFHkVKp7OYo6laP8Ys+sc09wf2vVCrx54kKe61HLBYbvzoAAJYD4rQAAHgCXC6Xz+cnJibiICe8Co/P57u6uh49elSr1ebm5mZlZRFenAHi4+Pj6ur65ZdfSiSS5OTk1tZWXE6n0318fHx8fLBcmDRpUlZWVmtra3BwsFAoxEIHzyr6+Pjw+fykpCTcYKVSiaWG8fqNwOfzT58+3a2wpaUFt0qr1R48eLB/X8rwA0ba3GuTXF1df/rpJ61Wm56eTlTYaz39+MoAAIDSAgDAeuzevVsikQiFQj6fLxKJcOHevXtTUlIEAsGmTZs2btxoJKjoaTl48KBEIhGJRN9++y2fz8fL5bqBvUQikYhCoWAlwefzCUfO7t27KyoqcIOFQiERa296/Ya88847x44d4/P5ycnJhlpHJBKJRCKBQJCTkzPwL2W8zT356KOPfvzxR4FAsG3bNsPO77Wep/3KAACYC4euri7oBQAY5ojFYi6Xi2WKWCweNWoUzragVCpVKhUxaSiRSJRKJXGUKGSxWESJ4ekSicTJyQlXa1gV8Rkj10II4czpAoEAx90bbzb2tBmejuvEU2Y9v1qv9Rtvj+HXMSzE1zWxD41ftGebDeHz+Rs3bhSJRIYLC/Dp7e3t3b5+r/X0vDqRqAJH9wMAAEoLAIChz+bNm7lcLofDwasXMzMz7at+C1108+bNCKGIiIh+pMLq6+oDqRMAAFBaAADYJWKxOD8/HyHE4/HMOClptfpt56I2cnUAAKUFAAAAAAAAmB+IiAcAAAAAAAClBQAAAAAAAEoLAAAAAAAAAKUFAAAAAAAASgsAAAAAAACUFgAAAAAAAABKCwAAAAAAAJQWAAAAAAAAKC0AAAAAAACgJ/8f56xdBrG3cHsAAAAASUVORK5CYII=" alt="Angle density of incoming weights for each run."> | |
| <figcaption> | |
| <b>Fig. 2</b> · Kernel density of the angle $\arctan(w_2/w_1)$ for the | |
| half of neurons with the largest norms. The three mean-field seeds | |
| track one another closely with peaks at $0°, \pm 90°, \pm 180°$ — the | |
| cloverleaf measured as a 1-D distribution. NTK has weaker, flatter | |
| peaks; the narrow run is dominated by two of its sixteen neurons. | |
| </figcaption> | |
| </figure> | |
| <div class="pull"> | |
| The point isn't the four lobes per se — it's that <b>the empirical | |
| neuron distribution is reproducible across seeds while being sharply | |
| non-Gaussian</b>. That's what mean-field theory predicts and NTK forbids. | |
| </div> | |
| <h2><span class="num">§3</span>The function the network actually learned</h2> | |
| <p> | |
| Sanity check that the cloverleaf is doing useful work: plotting the | |
| trained network's output on a grid recovers a clear XOR pattern, with | |
| a small mass of probability around the axes where the target sign | |
| is discontinuous and the network softens it into a hairline. | |
| </p> | |
| <figure> | |
| <img 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" alt="Network output surface vs. XOR target."> | |
| <figcaption> | |
| <b>Fig. 3</b> · Network output (left) vs. target XOR (right) on a | |
| $[-1,1]^2$ grid. Final eval MSE 0.024 — well above the irreducible | |
| noise of the XOR target near the axes, well below the variance of $y$. | |
| </figcaption> | |
| </figure> | |
| <h2><span class="num">§4</span>How the runs compare</h2> | |
| <div class="table-wrap"> | |
| <table class="findings"> | |
| <thead> | |
| <tr> | |
| <th>run</th><th>scaling</th><th>width</th> | |
| <th class="num">final MSE</th> | |
| <th class="num">std ‖w‖</th> | |
| <th>cloverleaf?</th> | |
| </tr> | |
| </thead> | |
| <tbody> | |
| <tr><td>seed 0 (teacher)</td><td>mean-field</td><td>2048</td> | |
| <td class="num">0.0236</td><td class="num">9.4</td> | |
| <td class="pos">yes</td></tr> | |
| <tr><td>seed 1</td><td>mean-field</td><td>2048</td> | |
| <td class="num">0.0234</td><td class="num">9.3</td> | |
| <td class="pos">yes</td></tr> | |
| <tr><td>seed 2</td><td>mean-field</td><td>2048</td> | |
| <td class="num">0.0240</td><td class="num">9.5</td> | |
| <td class="pos">yes</td></tr> | |
| <tr><td>seed 3</td><td>mean-field</td><td>2048</td> | |
| <td class="num">0.0238</td><td class="num">9.4</td> | |
| <td class="pos">yes</td></tr> | |
| <tr><td>NTK control</td><td>÷√N (lazy)</td><td>2048</td> | |
| <td class="num">0.0130</td><td class="num">1.8</td> | |
| <td class="neg">no — neurons stay near init</td></tr> | |
| <tr><td>narrow control</td><td>mean-field</td><td>16</td> | |
| <td class="num">0.0547</td><td class="num">8.1</td> | |
| <td class="neg">no — too few neurons</td></tr> | |
| </tbody> | |
| </table> | |
| </div> | |
| <p> | |
| Two things worth noting in the numbers. First, the NTK run gets a | |
| <i>lower</i> training-style MSE than the mean-field runs at the same | |
| width and step budget, but produces a qualitatively less interpretable | |
| weight cloud — the linearised "kernel" regime is happy to fit the | |
| target with very small movements per neuron, which is exactly the | |
| failure mode mean-field people warn about. Second, the std of the | |
| incoming-weight norm is roughly 5× larger for the mean-field runs: | |
| those neurons travel. | |
| </p> | |
| <h2><span class="num">§5</span>What I tried and dropped</h2> | |
| <p> | |
| The post advertises a self-consistency check where one trains 2048 | |
| independent single-neuron models against the background field of the | |
| trained network and recovers an identical $(w_i, a_i, b_i)$ | |
| distribution. I attempted it, and the formulation has a real subtlety: | |
| if you use the post's apparent "target = residual" framing literally, | |
| the optimal $a$ on a self-consistent fixed point is $\mathcal{O}(N)$ | |
| times the residual moment, which then drives the loss-magnitude | |
| several orders of magnitude above the achievable single-neuron output | |
| at any reasonable learning rate, and the regression doesn't converge. | |
| I'm fairly sure there's a rescaling step in the post that hasn't been | |
| written down explicitly, and decided to pivot to the seed-robustness | |
| + NTK control above rather than guess at it. Worth picking up once | |
| the next post in the sequence (or the promised code) lands. | |
| </p> | |
| <h2><span class="num">§6</span>What's next</h2> | |
| <ul> | |
| <li>Once Vaintrob releases code, rerun the single-neuron self-consistency | |
| check with his exact target normalisation.</li> | |
| <li>Sweep $N \in \{64, 256, 1024, 4096\}$ to watch the cloverleaf sharpen | |
| as $N \to \infty$ — should follow a $1/\sqrt{N}$ width law on the | |
| radial smear.</li> | |
| <li>Try the continuous-XOR setup in 3 dimensions: the prediction is | |
| that you get an 8-cornered structure (a cube's vertices) for $d=3$, | |
| and you can check it via spherical-harmonic decomposition.</li> | |
| <li>Repeat with a true "ReLU version of tanh" activation written as | |
| $\sigma(z) = \mathrm{ReLU}(z+1) - \mathrm{ReLU}(z-1) - 1$ to confirm | |
| the activation form isn't load-bearing (it shouldn't be — hardtanh | |
| is bit-identical — but worth checking the gradient path).</li> | |
| </ul> | |
| <footer class="colophon"> | |
| Source · <a href="https://www.lesswrong.com/posts/rduzFkTKx5pGKWKcL/mean-field-sequence-an-introduction">Vaintrob, “Mean field sequence: an introduction”</a> · LessWrong, 2026-04-04. | |
| <br>Pod · RunPod 4090 secure cloud, pod ID <span class="mono">zer68f9icq6f74</span>, kept alive for follow-ups. | |
| <br>Repo · local <span class="mono">~/Documents/mean-field-theory-repro</span> · scripts: <span class="mono">train_xor.py</span>, <span class="mono">self_consistency.py</span>, <span class="mono">plot_cloverleaf.py</span>, <span class="mono">plot_compare.py</span>. | |
| </footer> | |
| </main> | |