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NewPosAtt
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "NewPosAtt",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/NTT123/4e1c75801ce0bb50cb26860b6932e98d/newposatt.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"metadata": {
"id": "V4KhGpSL8v57",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Install libs"
]
},
{
"metadata": {
"id": "Sv4CTs8Z8Yw2",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"!pip install numpy torchvision_nightly\n",
"!pip install torch_nightly -f https://download.pytorch.org/whl/nightly/cu92/torch_nightly.html"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "TcymoVHy81NY",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Load libs"
]
},
{
"metadata": {
"id": "0FRag3Zy6PA-",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"import matplotlib.pyplot as plt\n",
"import torch\n",
"import numpy as np\n",
"from torch.utils.data import Dataset\n",
"import random\n",
"\n",
"#from google.colab import output\n",
"\n",
"\n",
"import math\n",
"DEV = torch.device(\"cuda\" if torch.cuda.is_available() else \"cpu\")"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "NlQ4zJk483FE",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Dataset"
]
},
{
"metadata": {
"id": "cs5EHpFM8Q-9",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"\n",
"master_dic = {0: [9, 4, 7], \n",
" 1: [3, 2, 2, 4, 6,9], \n",
" 2: [6], \n",
" 3: [1, 2, 7, 9, 0, 0], \n",
" 4: [9,0, 9, 6, 4], \n",
" 5: [7, 1, 2, 4, 8, 4, 2, 5, 8], \n",
" 6: [8, 7], \n",
" 7: [0, 6, 2, 0], \n",
" 8: [4], \n",
" 9: [5, 4, 6, 1, 0, 9] }\n",
"\n",
"def generate_data_point(l):\n",
" x = np.random.randint(low=0, high=10, size=(l,))\n",
" y = [] # np.copy(x)\n",
" for i in range(len(x)):\n",
" y.extend(master_dic[ x[i]])\n",
" \n",
" return (x, np.asarray(y))\n",
"\n",
"def generate_data_set(size, l):\n",
" return [generate_data_point( random.randint(1, l)) for _ in range(size)]\n",
"\n",
"def generate_batch(bs, l):\n",
" b = generate_data_set(bs, l)\n",
" \n",
" y = []\n",
" x = []\n",
" for i in range(bs):\n",
" x.append(torch.tensor(b[i][0]))\n",
" y.append( torch.tensor(b[i][1]) )\n",
" \n",
" return x, y\n",
"\n",
"class MDS(Dataset):\n",
" \"\"\"Number mapping dataset.\"\"\"\n",
"\n",
" def __init__(self, size=50000, l=100):\n",
" self.data = generate_data_set(size, l)\n",
" \n",
" def __len__(self):\n",
" return len(self.data)\n",
" \n",
" def __getitem__(self, idx):\n",
" return self.data[idx]\n",
"\n",
"dataset = MDS()"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "ZbIPAg4_8638",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Attention model"
]
},
{
"metadata": {
"id": "9BRHDmpx8TaC",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"class PosAtt(torch.nn.Module):\n",
" def __init__(self, input_size, num_heads):\n",
" super().__init__()\n",
" self.input_size = input_size\n",
" self.num_heads = num_heads\n",
" self.linear = torch.nn.Linear(input_size, 3*num_heads)\n",
" \n",
" self.linear.bias.data.fill_(-3)\n",
" \n",
" def forward(self, x, mem, prev_r, pos, x_mask):\n",
" #print(x.shape)\n",
" bs = x.size(0)\n",
" a, b, deltar = self.linear(x).view(bs, self.num_heads, 3).chunk(3, dim=2)\n",
" l = mem.size(1) # length of the memory, assumping the same lengths for a min-batch\n",
" r = prev_r + deltar.exp()\n",
" z = -b.exp() * torch.pow(r - pos, 2)\n",
" z = torch.softmax(z + x_mask, dim=2)\n",
" #print(\"z\", z.shape)\n",
" w = torch.sum(torch.softmax(a, dim=1) * z, dim=1).view(bs, 1, l)\n",
" mem = mem.view(bs, l, -1)\n",
" v = torch.bmm(w, mem).squeeze(1) # bs, [dim]\n",
" return r, v, w\n",
" def init_location(self, bs):\n",
" return -torch.ones(bs, self.num_heads, 1)\n",
"\n",
"class Mapper(torch.nn.Module):\n",
" def __init__(self, embedding_size=10, hidden_size=64):\n",
" super().__init__()\n",
" self.hidden_size = hidden_size\n",
" self.embedding_size = embedding_size\n",
" self.embedding = torch.nn.Embedding(10, embedding_size)\n",
" self.embedding.weight.data = torch.eye(embedding_size)\n",
" self.rnn_cell = torch.nn.GRUCell(embedding_size, hidden_size)\n",
" self.posatt = PosAtt(hidden_size, 10)\n",
" self.linear = torch.nn.Linear(embedding_size+hidden_size, 10)\n",
" self.register_parameter('init_hx', torch.nn.Parameter( torch.randn(1, hidden_size)) )\n",
" \n",
" def forward(self, x, y, x_mask):\n",
" x = self.embedding(x)\n",
" y = self.embedding(y)\n",
" l = x.size(1)\n",
" bs = x.size(0)\n",
" seq_len = y.size(1)\n",
" pos = torch.arange(end=l, dtype=torch.float, device=DEV, requires_grad=False) \n",
" pos = pos.view(1, 1, -1)\n",
" hidden_state = self.init_hidden_states(bs)\n",
" prev_r = self.posatt.init_location(bs).to(DEV)\n",
" hidden_state = self.rnn_cell(torch.zeros_like(y[:, 0]), hidden_state)\n",
" prev_r, v, w = self.posatt(hidden_state, x, prev_r, pos, x_mask)\n",
" list_of_v = [v]\n",
" lw = [w]\n",
" l_hx = [hidden_state]\n",
" for i in range(seq_len-1):\n",
" hidden_state = self.rnn_cell(y[:, i], hidden_state)\n",
" l_hx.append(hidden_state)\n",
" prev_r, v, w = self.posatt(hidden_state, x, prev_r, pos, x_mask)\n",
" lw.append(w)\n",
" list_of_v.append(v)\n",
" vv = torch.stack(list_of_v, dim=1) \n",
" hx_hx = torch.stack(l_hx, dim=1)\n",
" att_out = torch.cat( (vv, hx_hx), dim=2)\n",
" lw = torch.stack(lw, dim=0)\n",
" return self.linear(att_out), lw\n",
" \n",
" def sampling(self, x, seq_len):\n",
" \n",
" with torch.no_grad():\n",
" self.eval()\n",
" x = self.embedding(x)\n",
"\n",
" l = x.size(1)\n",
" bs = x.size(0)\n",
" assert bs == 1\n",
"\n",
" pos = torch.arange(end=l, dtype=torch.float, device=DEV, requires_grad=False) \n",
" pos = pos.view(1, 1, -1)\n",
" hidden_state = self.init_hidden_states(bs)\n",
"\n",
" x_mask = create_mask([l], one=0.0, zero=-math.inf).transpose(0,1).unsqueeze(1).to(DEV)\n",
"\n",
" prev_r = self.posatt.init_location(bs).to(DEV)\n",
" hidden_state = self.rnn_cell(torch.zeros(1, self.embedding_size).to(DEV), hidden_state)\n",
" prev_r, v, w = self.posatt(hidden_state, x, prev_r, pos, x_mask)\n",
" list_of_v = [v]\n",
" lw = [w]\n",
" l_hx = [hidden_state]\n",
"\n",
" vv = torch.stack(list_of_v, dim=1) \n",
" hx_hx = torch.stack(l_hx, dim=1)\n",
" att_out = torch.cat( (vv, hx_hx), dim=2)\n",
" prob= self.linear(att_out)\n",
"\n",
" y = []\n",
"\n",
" yi = torch.multinomial(torch.softmax(10*prob.view(-1), dim=0), num_samples=1)\n",
" y.append(yi)\n",
"\n",
"\n",
"\n",
" for i in range(seq_len-1):\n",
" hidden_state = self.rnn_cell(self.embedding(y[i]), hidden_state)\n",
" l_hx.append(hidden_state)\n",
" prev_r, v, w = self.posatt(hidden_state, x, prev_r, pos, x_mask)\n",
" lw.append(w)\n",
" list_of_v.append(v)\n",
"\n",
" vv = torch.stack([v], dim=1) \n",
" hx_hx = torch.stack([hidden_state], dim=1)\n",
" att_out = torch.cat( (vv, hx_hx), dim=2)\n",
" prob= self.linear(att_out)\n",
"\n",
"\n",
" yi = torch.multinomial(10*torch.softmax(prob.view(-1), dim=0), num_samples=1)\n",
" y.append(yi)\n",
"\n",
"\n",
" vv = torch.stack(list_of_v, dim=1) \n",
" hx_hx = torch.stack(l_hx, dim=1)\n",
" att_out = torch.cat( (vv, hx_hx), dim=2)\n",
" lw = torch.stack(lw, dim=0)\n",
"\n",
" self.train()\n",
" return y, lw\n",
" \n",
" \n",
" def init_hidden_states(self, bs):\n",
" return self.init_hx.expand(bs, self.hidden_size)\n"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "BaufFLYd89Dc",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Warmup"
]
},
{
"metadata": {
"id": "n0NUvTzF8Ul3",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"mapper = Mapper(hidden_size=128, embedding_size=32).to(DEV)\n",
"\n",
"\n",
"from pylab import rcParams\n",
"rcParams['figure.figsize'] =20, 20\n",
"\n",
"optimizer = torch.optim.Adam(mapper.parameters(), lr=1e-2)\n",
"\n",
"lr_scheduler = torch.optim.lr_scheduler.ExponentialLR(optimizer, gamma=0.8)\n",
"\n",
"\n",
"lossfn = torch.nn.CrossEntropyLoss(reduction='none')\n",
"\n",
"delta = 10\n",
"sl = 0.0\n",
"\n",
"epoch = 0\n",
"\n",
"import sys\n",
"import datetime\n",
"\n",
"\"\"\"## Train\"\"\"\n",
"\n",
"def create_mask(lens, one=1.0, zero=0.0):\n",
" maxlen = max(lens)\n",
" s = len(lens)\n",
" mask = torch.empty(maxlen, s)\n",
" mask.fill_(one)\n",
" for i in range(s):\n",
" mask[lens[i]:, i] = zero \n",
"\n",
" return mask\n",
"\n",
"start = epoch\n",
"delta = 10\n",
"\n",
"mapper.train()\n",
"\n",
"\n",
"from pylab import rcParams\n",
"rcParams['figure.figsize'] =20, 20\n",
"\n"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "6LSM9IPF8-vT",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Training"
]
},
{
"metadata": {
"id": "Ezb1ifpkaNbR",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"y, w = mapper.sampling(torch.tensor([1,2]).to(DEV).view(1,2), 10)\n",
"torch.cat(y, dim=0).cpu().data.numpy()"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "m9SrwhS2eKtw",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"torch.cat(y, dim=0).cpu().data.numpy()"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "iErHhKii_VBX",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"loss_records = []\n",
"rcParams['figure.figsize'] =20, 5\n",
"import matplotlib as mpl\n",
"mpl.rc('image', cmap='hot')\n"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "GBQUW42PJWEQ",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"#optimizer = torch.optim.Adam(mapper.parameters(), lr=1e-4)"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "laZ3GnMf8V58",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 4645
},
"outputId": "8122217e-ff6e-49bd-8239-c13f385757c2"
},
"cell_type": "code",
"source": [
"delta = 100\n",
"\n",
"for epoch in range(start, 1000):\n",
" #dataset_loader = torch.utils.data.DataLoader(dataset, shuffle=True, batch_size=1024)\n",
" \n",
" sl = 0.0\n",
" \n",
" bs = 128*4\n",
" past = datetime.datetime.now()\n",
" for i in range(1300):\n",
" \n",
" x, y = generate_batch(bs, 100)\n",
" #x = torch.stack(x, dim=0)\n",
" x_lens = [len(t) for t in x]\n",
" x = torch.nn.utils.rnn.pad_sequence(x).transpose(0,1)\n",
" x_mask = create_mask(x_lens, one=0.0, zero=-math.inf).transpose(0,1).unsqueeze(1).to(DEV)\n",
" \n",
" y_lens = [len(t) for t in y]\n",
" y = torch.nn.utils.rnn.pad_sequence(y).transpose(0,1)\n",
" #print(x.shape, y.shape)\n",
" y_mask = create_mask(y_lens).to(DEV)\n",
"\n",
" x = x.to(DEV)\n",
" y = y.to(DEV)\n",
" \n",
" out, w = mapper(x, y, x_mask)\n",
" loss = 0.0\n",
" \n",
" for j in range(out.size(1)):\n",
" loss += (lossfn(out[:, j,:], y[:, j]) * y_mask[j, :]).sum()\n",
" \n",
" loss = loss / bs\n",
" optimizer.zero_grad()\n",
" loss.backward()\n",
" torch.nn.utils.clip_grad_norm_(mapper.parameters(), 1.0)\n",
" loss_records.append(loss.item())\n",
" optimizer.step()\n",
" sl = sl + loss.item()\n",
" if i % delta == delta-1:\n",
" lr_scheduler.step()\n",
" \n",
" #output.clear()\n",
" now = datetime.datetime.now()\n",
"\n",
" sys.stdout.write(f\"\\n {epoch} {i*100.0/1000: .3f} *** {sl/delta/x.size(1): .3f} *** {(now-past).seconds} sec\")\n",
" \n",
" sl = 0.0\n",
" past = now\n",
" plt.subplot(1, 2, 1)\n",
" plt.plot(loss_records)\n",
" \n",
" ax = plt.subplot(1, 2, 2)\n",
" #ax.grid(False)\n",
" ax.set_yticks(range(40))\n",
" ax.set_yticklabels(x[0].cpu().numpy())\n",
" \n",
" plt.imshow(w[0:40,0,0,0:].cpu().detach().numpy().transpose())\n",
" #plt.axis(\"off\")\n",
"\n",
" plt.show()\n",
" \n",
" y, w = mapper.sampling(torch.tensor([2, 3, 5, 7]).to(DEV).view(1,-1), 20)\n",
" print(torch.cat(y, dim=0).cpu().data.numpy())\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"\n",
" 0 9.900 *** 1.672 *** 277 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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gXIF2m3YdKTU7FAAAAMDvrV27Vl6vVzU1NQoMDNTevXu1bt06s8NCN2BGtxsF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\nukRERERERCQo/wM0/sV+i2FRxgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d3b9d2b0>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 6 0 6 2 0 5 4 6 1 0 9 0 6 2 0 0 6 2 0]\n",
"\n",
" 0 19.900 *** 0.981 *** 278 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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A1giL7v7kZbp32XQ5bBF64Y1j+u+1e1RVx966AAAAADDQCLoDaN6UVP3g7ss1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\nD5tT3U7sofVDAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d2b49b70>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 3 2 2 4 6 9 1 2 7 9 0 0 0 6 2 0 5 4 6]\n",
"\n",
" 0 29.900 *** 0.762 *** 280 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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8x3/8B9LT06OOZ0V35GFFt5ckEgmumz4K72+rxr7jrVhQkh/vkIiIiIiIqB8W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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d29fca20>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 6 7 1 2 4 8 4 2 5 8 0 6 2]\n",
"\n",
" 0 39.900 *** 0.794 *** 278 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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IiIgSYdKkScjLy8Pvf/973HnnnQO2ZUa3t/Gc0U3amt6brp6CNKMW75VVweWNtYUyERER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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d04ba978>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 9 0 9 6 4 7 1 2 4 8 4 2 5 8 6 0 6 2 0]\n",
"\n",
" 0 49.900 *** 0.698 *** 279 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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RSLaHQkRERERERGeAgW4Ss1EHAPAFwlkeCREREREREZ0JBrpJTIZooOvlPF0i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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d292b080>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 6 0 6 2 0 9 0 9 6 4 0 6 2]\n",
"\n",
" 0 59.900 *** 0.714 *** 277 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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aQcFgEFqtFpIkQaPRQEpRtsvS5dEn70qXAeDqi8YiKMuoO9iW7aEQEREREdEIczgcKC4u\nhizLMJlM8Hq9KCgoyPawaATkbEYXAK6aMQ6vvHsUW/a14MbLJmZ7OERERERENIL8fj/a2tqwbt06\nrF+/Hvfeey9Ll3P43EQ5HegWFxpw0ZQy7DvWiW67B6UWY7aHREREREREI8Tj8WDSpEm4/fbbIUkS\ndDodHA5H0uNZujz65NU6uqLxFYXYd6wTnTY3A10iIiIiojwTDAYhh4OhYDDY7zxdZnRzR84HuuVj\nTACALpsbGD8my6MhIiIiIqKRYjQa0dDQgPr6erV02Ww2Jz2eGd3RJ28zumXFoSxuZ687yyMhIiIi\nIqKRpNPpUF1drZYuS5LEZlR5IucD3fLiUEa308ZAl4iIiIgon1gsFjQ2NqKoqAhOpxN6vZ7NqHL4\n3ES5H+iGS5eZ0SUiIiIiyi9cRzdaLp5bXq6jCwBmow5GgxadNk+2h0JERERERCOI6+jmr5zP6EqS\nhIpiE0uXiYiIiIjyDNfRjZfL5ybK+UAXAMqKTTjd4YDT7YfZlBenTERERESU97iObrRcPLe8LV0G\nhCWG7MzqEhERERHlE2UdXVmWU66jS7kjL9Kb5cISQxMqi7I8GiIiIiIiGgnprqPL0uXckSeBbjij\ny3m6RERERER5I911dFm6PPokC9zzItAtCwe6HQx0iYiIiIjyBtfRjZfL5ybKi0C31BIqXe7t82Z5\nJERERERENFK4jm60XDy3vM7oGg1aAIDXF8jySIiIiIiIaKQ4HA7MnTsXK1asAADMmDGD6+jmifwI\ndHXhQNcfzPJIiIiIiIhopFgsFmzevBlLliyBy+WCTqdj6XIOn5soLwJdvT60ihIzukRERERE+YOl\ny9Fy8dzyeh1djSRBp9XA42NGl4iIiIgoXzgcDhQXF0OWZZhMJni9XpYu54m8yOgCgFGvgc/PjC4R\nERERUb7w+/1oa2vDunXr1HV0Wbqcu+cmyptA16DXwsuMLhERERFR3vB4PJg0aZK6jq5Op4PD4Uh6\nPEuXR5+87roMAHqdBh7O0SUiIiIiyivBYBByOBgKBoP9ztNlRjd35E2ga9BpYXf6sj0MIiIiIiIa\nIUajEQ0NDaivr1dLl81mc9LjmdEdffI+o8s5ukRERERE+UWn06G6ulotXZYkic2o8kTeBLoGvRb+\ngIxAMAitJi+aTRMRERER5TWLxYLGxkYUFRXB6XRCr9ezGVUOn5sobwJdvU5ZSzeIAiMDXSIiIiKi\nXMd1dKPl4rnl9Tq6QCijCwBePzsvExERERHlA66jm7/yJqNrDGd0fey8TERERESUF7iObrxcPjdR\n3gS6SkbXw4wuEREREVFe4Dq60XLx3PK+63Jkji4zukRERERE+SKddXQpd+RNoKvO0WWgS0RERESU\nF9JdR5ely7kjbwJdoz48R5ely0REREREeSHddXRZujz6DKl02e1243Of+xzuvvtuXH311bj//vsR\nCARQWVmJFStWwGAwYO3atVi1ahU0Gg1uu+02LF68OKMnMFQGXXiOro+BLhERERFRPuA6uvFy+dxE\nAwp0n3rqKYwZMwYA8Pjjj2Pp0qW46aab8Nhjj6G2thaLFi3Ck08+idraWuj1etx666248cYbUVJS\nMqyDT4chnNH1+lm6TERERESUD7iObrRcPLdBr6N79OhRNDY24lOf+hQAoK6uDgsWLAAAzJ8/H9u2\nbcOePXswc+ZMWCwWmEwmzJkzB/X19ZkbfQaYDKGYvsvmzvJIiIiIiIhoJDgcDsydOxerV6/Gq6++\nCp/Px3V080TKjO4jjzyChx9+GK+++ioAwOVywWAwAADKy8thtVrR0dGBsrIy9TFlZWWwWq0pX7y0\n1AxduKR4OFRWWtTteZca8Pybh7DtQBu+8rmLodHk1p2MTBGvGQ0Mr1n6eM3Sx2uWPl6z9PGaEVGu\nsVgs2Lx5M5YsWQKXywWdTsfS5Rw+N1G/ge6rr76K2bNnY+LEiQm/Lye5SMn2x+rudg7ouMGorLTA\narVH7fvEeRX48FA79h1uQ01F4bC99miV6JpR/3jN0sdrlj5es/TxmqVvuK4Zg2ciyiaWLkfLxXMb\nVDOqd999F83NzXj33XfR2toKg8EAs9kMt9sNk8mEtrY2VFVVoaqqCh0dHerj2tvbMXv27MyeQQZU\njAmVKTg9/iyPhIiIiIiIhpvD4UBxcTFkWYbJZILX62Xpcp7oN9D93e9+p27/4Q9/wPjx47Fr1y6s\nX78en//857FhwwbMmzcPs2bNwkMPPQSbzQatVov6+nr86Ec/GvbBp8tkCJVJuxnoEhERERHlPL/f\nj7a2Nqxbt05dR5ely7l7bqK019H97ne/iwceeABr1qxBTU0NFi1aBL1ej+XLl+POO++EJElYtmwZ\nLJazr1SpwBg6XZeXnZeJiIiIiHKdx+PBpEmT1HV0dTodHA5H0uNZujz6DGkdXSAU4CpWrlwZ9/2F\nCxdi4cKFgxjayGFGl4iIiIgovwSDQbWHUDAY7HeeLjO6uSPtjO5opiwxxIwuEREREVHuMxqNaGho\nQH19vVq6bDabkx7PjO7oM+SMbi4oMDKjS0RERESUL3Q6Haqrq9XSZUmS2IwqT+RZoKtkdBnoEhER\nERHlOovFgsbGRhQVFcHpdEKv17MZVQ6fmyivAl11ji5Ll4mIiIiIch7X0Y2Wi+eWLHDXjPA4skqd\no8vSZSIiIiKinMd1dPNXXmV01Tm6zOgSEREREeU8rqMbL5fPTZRXga5Rr4UEZnSJiIiIiPIB19GN\nlovnxq7LACRJgsmoZUaXiIiIiChPpLOOLuWOvAp0gdA8XWZ0iYiIiIhyX7rr6LJ0OXfkXaBbYNSh\nt8+T7WEQEREREdEwS3cdXZYujz4sXQ6zFOhxpsMBfyAInTavmk4TEREREeUVrqMbL5fPTZR3ge6Y\nIgMAwObwoqzYlOXREBERERHRcOE6utFy8dy4jm5YSZERANDT583ySIiIiIiIaDg5HA7MnTsXq1ev\nxquvvgqfz8d1dPNE3mV0lUCX83SJiIiIiHKbxWLB5s2bsWTJErhcLuh0OpYu5/C5ifIu0FVKl3sc\nzOgSEREREeUyli5Hy8VzY+lymFq6bGdGl4iIiIgolzkcDhQXF0OWZZhMJni9XpYu54m8y+iWhDO6\nvQ4GukREREREuczv96OtrQ3r1q1T19Fl6XLunpsoDwPdUEa3y8ZAl4iIiIgol3k8HkyaNEldR1en\n08HhcCQ9nqXLow/X0Q0rMOpQajHilLUv20MhIiIiIqJhFgwGIYeDoWAw2O88XWZ0c0feBboAMKmq\nCHuOdsLm8KK40JDt4RARERER0TAwGo1oaGhAfX29WrpsNpuTHs+M7ujDjK5g4lgL9hztRHN7H2ZM\nLcv2cIiIiIiIaBjodDpUV1erpcuSJLEZVZ7Iy0B3UlURAOBEm52BLhERERFRjrJYLGhsbERRURGc\nTif0ej2bUeXwuYnyMtCdNn4MAODwyR589qrJWR4NERERERENB66jGy0Xz43r6ApKLUaMLTOj4VQP\n/IFgtodDRERERETDgOvo5q+8zOgCwPRJJXh39xmcsvZhyrjibA+HiIiIiIgyjOvoxsvlcxPlbaBb\nVmwCAPQ5fVkeCRERERERDQeuoxstF8+NXZdjGPRaAIDXz9JlIiIiIqJclc46upQ78jjQDU1P9voC\nWR4JERERERENh3TX0WXpcu7I30BXFw50mdElIiIiIspJ6a6jy9Ll0YelyzEMulDpsocZXSIiIiKi\nnGSxWGC327F69WocOHAAd9xxB5tR5fC5ifI30FXm6DLQJSIiIiLKSRUVFdBqtWpGd9KkSf0ez4zu\n6MOMbgxjeI6uj6XLREREREQ5qaqqCjNmzMDtt98OAFiwYAEqKyuzPCoaCZpsDyBbIhldBrpERERE\nRLnommuuwfr16wEABw4cQFVVFYqKirI8KhoJeZvRVZpRefwsXSYiIiIiykVz5sxRM7qSJOGnP/1p\ntodEIyRvA1095+gSEREREeW8++67L9tDoCzI29Jlo7K8EEuXiYiIiIiIckreBrrKHF02oyIiIiIi\nIsoteRvo6pU5uixdJiIiIiIiyil5G+jqtBpoNRK8bEZFRERERESUU1I2o3K5XHjwwQfR2dkJj8eD\nu+++GxdeeCHuv/9+BAIBVFZWYsWKFTAYDFi7di1WrVoFjUaD2267DYsXLx6Jcxg0g17LObpERERE\nREQ5JmWg+8477+Diiy/GXXfdhdOnT+PrX/865syZg6VLl+Kmm27CY489htraWixatAhPPvkkamtr\nodfrceutt+LGG29ESUnJSJzHoBh0GnZdJiIiIiIiyjEpS5c/+9nP4q677gIAtLS0YOzYsairq8OC\nBQsAAPPnz8e2bduwZ88ezJw5ExaLBSaTCXPmzEF9ff3wjn6IDHoNvGxGRURERERElFMGvI7u7bff\njtbWVjz99NP42te+BoPBAAAoLy+H1WpFR0cHysrK1OPLyspgtVr7fc7SUjN0Ou0gh55aZaWl3++b\nTXp02dwpj8snvBbp4zVLH69Z+njN0sdrlj5eMyIiyhUDDnRXr16NQ4cO4Qc/+AFkWVb3i9uiZPtF\n3d3Ogb582iorLbBa7f0eo5EkuL2BlMfli4FcM4rGa5Y+XrP08Zqlj9csfcN1zRg8ExFRNqQsXd6/\nfz9aWloAANOnT0cgEEBhYSHcbjcAoK2tDVVVVaiqqkJHR4f6uPb2dlRVVQ3TsDPDqNfA5w8iGEwd\nlBMREREREdHokDLQ/eijj/D8888DADo6OuB0OjF37lysX78eALBhwwbMmzcPs2bNwr59+2Cz2eBw\nOFBfX4/LLrtseEc/RGaTHgDg9PizPBIiIiIiIiLKlJSly7fffjt+/OMfY+nSpXC73fjJT36Ciy++\nGA888ADWrFmDmpoaLFq0CHq9HsuXL8edd94JSZKwbNkyWCxnd7mSxRwKdG0OL4oK9FkeDRERERER\nEWVCykDXZDLh0Ucfjdu/cuXKuH0LFy7EwoULMzOyEWAxhxpq2Z1eAIXZHQwRERERERFlRMrS5Vym\nZHTtTl+WR0JERERERESZkteBbnE4o2tzerM8EiIiIiIiIsqUvA50mdElIiIiIiLKPXke6DKjS0RE\nRERElGvyOtAtZkaXiIiIiIgo5+R1oFsYXlKox+7J8kiIiIiIiIgoU/I60NVpNZhaXYzG07040WrP\n9nCIiIiIiIgoA/I60AWAW647BwBQ+97RLI+EiIiIiIiIMiHvA90ZU8owY0opDhzvwtEzvdkeDhER\nEREREQ1R3ge6AHDphVUAgPZuV5ZHQkREREREREPFQBeASa8FAHi8gSyPhIiIiIiIiIaKgS4AoyEc\n6PoY6BIREREREY12DHQBGJnRJSIiIiIiyhkMdBHJ6LqZ0SUiIiIiIhr1GOhCmKPLQJeIiIiIiGjU\nY6ALYY4uS5eJiIiIiIhGPQa64BxdIiIiIiKiXMJAF4CJXZeJiIiIiIhyBgNdADqtBhpJYjMqIiIi\nIiKiHMBAF4AkSTAaNCxdJiIiIiIiygEMdMOMei0DXSIiIiIiohzAQDfMaNBxji4REREREVEOYKAb\nZtRrOEeXiIiIiIgoBzDQDTPptfB6A5BlOdtDISIiIiIioiFgoBtmNOggA/D6g9keChEREREREQ0B\nA92wAmNoLd3OXneWR0JERERERERDwUA37BPnVQIA3th2IssjISIiIiIioqFgoBt2+fQqVIwxYXdj\nB+fpEhERERERjWIMdMM0koTJYy1wefzo6fNmezhEREREREQ0SAx0BTUVhQCAM52OLI+EiIiIiIiI\nBouBrkANdK0MdImIiIiIiEYrBroCJdBtYUaXiIiIiIho1GKgKyi1GAEAdqcvyyMhIiIiIiKiwWKg\nK1DW0nV6/FkeCREREREREQ0WA12BVqOB0aCF081Al4iIiIiIaLRioBvDbNTB6WHpMhERERER0WjF\nQDeG2ahjRpeIiIiIiGgUY6Abo8Ckg9PjhyzL2R4KERERERERDQID3Rhmow6yDLi9gWwPhYiIiIiI\niAZBN5CDfvOb32Dnzp3w+/341re+hZkzZ+L+++9HIBBAZWUlVqxYAYPBgLVr12LVqlXQaDS47bbb\nsHjx4uEef8aZTaFL4vL4UWAc0OUhIiIiIiKis0jKSG779u04cuQI1qxZg+7ubnzhC1/A1VdfjaVL\nl+Kmm27CY489htraWixatAjVmCU2AAAgAElEQVRPPvkkamtrodfrceutt+LGG29ESUnJSJxHxpjD\nwa3T7UdZcZYHQ0RERERERGlLWbp8+eWX4/e//z0AoLi4GC6XC3V1dViwYAEAYP78+di2bRv27NmD\nmTNnwmKxwGQyYc6cOaivrx/e0Q8DJaPLtXSJiIiIiIhGp5SBrlarhdlsBgDU1tbi2muvhcvlgsFg\nAACUl5fDarWio6MDZWVl6uPKyspgtVqHadjDx2zUAwA7LxMREREREY1SA56E+vbbb6O2thbPP/88\nPv3pT6v7k3UnHkjX4tJSM3Q67UCHkLbKSkvaj6mqKAQAaA26QT1+tMvHcx4qXrP08Zqlj9csfbxm\n6eM1IyKiXDGgQHfz5s14+umn8eyzz8JiscBsNsPtdsNkMqGtrQ1VVVWoqqpCR0eH+pj29nbMnj27\n3+ft7nYObfT9qKy0wGq1p/04KRgEAJw80wOrdXTNLx6qwV6zfMZrlj5es/TxmqWP1yx9w3XNGDwT\nEVE2pCxdttvt+M1vfoM//vGPamOpuXPnYv369QCADRs2YN68eZg1axb27dsHm80Gh8OB+vp6XHbZ\nZcM7+mFQE87onulwZHkkRERERERENBgpM7pvvvkmuru7ce+996r7fv3rX+Ohhx7CmjVrUFNTg0WL\nFkGv12P58uW48847IUkSli1bBotl9N3FrRxTAL1Og9MMdImIiIiIiEallIHukiVLsGTJkrj9K1eu\njNu3cOFCLFy4MDMjyxKNRkJ1mRktnU4EgzI0GinbQyIiIiIiIqI0pCxdzkc1lYXw+YOw9riyPRQi\nIiIiIiJKEwPdBKbVjAEAHG7uyfJIiIiIiIiIKF0MdBOYPrkUAHCwqSvLIyEiIiIiIqJ0MdBNoLrc\njJIiAw4c74LXF8j2cIiIiIiIiCgNDHQTkCQJ18yshsPtx/t7zmR7OERERERERJQGBrpJ3Hj5REgS\n8NFha7aHQkRERERERGlgoJtEsdmA8mIT2rqc2R4KERERERERpYGBbj/GlZnR6/DC5fFneyhERERE\nREQ0QAx0+zG2zAwAaOtmVpeIiIiIiGi0YKDbj3HhQLeV5ctERERERESjBgPdfowtKwAAnOlgoEtE\nRERERDRaMNDtx+SxFgBAU6styyMhIiIiIiKigWKg2w+L2YCKMSY0tdghy3K2h0NEREREREQDwEA3\nhSnVxehz+dDZ6872UIiIiIiIiGgAGOimMHlsEQDglNWR5ZEQERERERHRQDDQTaGyJNSQytrryvJI\niEYvWZbx8Ylu+APBbA+FiIiIiPIAA90UlEC3o4ely0SD9fZHp/Cbv+zCa1uasj0UIiIiIsoDDHRT\nqBhjAgBYe5jRJRqsrQdaAQCNp3uzPBIiIiIiygcMdFMoKtDDZNCig6XLRIPW3h1ai1qpkCAiIiIi\nGk4MdFOQJAkVYwpg7XFziSGiQZBlGS5PAACgkQb2GI8vAKfbP4yjIiIiIqJcxkB3AGoqzPD4Amhn\n+TJR2uwun7rt8gbivn+yzY4fP7MdZzoinc0femY7vvO790dkfERERESUexjoDsC548cAABqae7I8\nEqLRJxCIVEK4PPFZ2qf+cQAtnU6s3XJc3ddp8wAAuzTTqBAMynh/zxl4EtzIISIiouxgoDsA508s\nAQAcOcVGOkTpCgYjga7bG0DtpiPYfaRD3ddtD3U0N+i0oeOFKQIeX/4EDqs3HsE/P2rO9jBoEDbs\naMYL6z7Gc28eyvZQiIiIKIyB7gBMqCxCoUmHvY0d8Pnz54M3USaIgWtvnwer3jiIx/+6F0AoY+v1\nhbK2dqc3/DVS6pwvGTKfP4gNO5rxl7ePZHsolMCm+lP43w0NSfs0KM3WDjV1jeSwiIiIqB8MdAdA\no5Ewb1YNbE4f6g62Z3s4RKOKmNGNnefe3h35d0dvKLPbZYusWe3Ok0C308Z1us82r205jlc3HwMA\nvLShARvrT6Gp1Z7wWJNRByB/3q9ERESjAQPdAfrkzGoAwKET3ejp86Cnz5PlERGNDmJGNzYhJgYG\n1l4XZFlGtz3yu5Wrpcuvb23C13+9ST3XDja6O+v8ffNxrN3SFLVv896WhMcqN3MCQXbmJyIiOlsw\n0B2gsWUF0GoktHU78f0ntuD7T2zJ9pCIRoVgkg//Pn8AXiGQ9fqCsDt9UYFurmbI/vZ+KFO4/3gn\nAMDaG8noenM0uB9NxPesy+NHUYEeAKI6g4sc7ki5PZehIyIiOjsw0B0grUaDqtICHDtjU/cFgvnb\nEVaWZfQyq511NqcXx1tsqQ/MomRJLrvTF5exdbijA91cn6OrZACtQkbXwfWDs65PCFy7bG74wt2/\nk/VocLgiPzP+/IiIiM4ODHTTMLbUHPXvHrs3SyPJvg07mvG9J7aw+UqW/eS5D/HzVR/B5jh734vJ\nMrp2pw9efyiA0GokAKGsrhj8un25HTQoSy91CBldMTso8vgC2Hu0gxnDESA2ROu0eeAN33BRGqfF\nEgPjzl43jp7pZeNCIiKiLGOgm4ZxZdGBbkdv/s6re+WdowCAPUc7M/q8Hm8gKtA50+FAnyvxB3+C\nGuC2dYfWoU20Tm22BZMEZjanV83YKqWhXn8gKkDI9Yyu2xv6eTmFQMmR5P3+x38cwO9e2YsdH7Mh\n3nCzCzeO2rqcUN7ByeaMiz+zvUc78Ms/78Qf1x4cziESERFRCgx003Dh5JKof2/Y0Zy3d+2V4KUg\n3G00U773xAd44KmtAICNO0/hoWfrsGrdxxl9jVwhlo4//Y8DeHXzcfx5/eEsjiixpIGuwwtv+PfH\nYg4Hur4gfP5I1ixRoCvLctLnHG2Uklcx6+1MUvq6uzG09rDYqZqGh10IXFs6I/Nyvf7EGV0x0G22\nho6vb7BGHSPLMl5cfzhuPxEREQ0PBrppuGRaBZ5afh2+f9ssAMCuIx1YvbEx7jhZlpM2LUnXln0t\n2Hn47PpgJAb3ytqnmXpetzcAm9OHoCzjze0nAAANp3oy9hq5RFzqRO3eK1QZbN5zBn9efzjrpa5y\nODaYNLYoar84R1fN6PoCUYGuO0EG7eerPsIP/7htmEY7suyu0O+P2K23L0npsqLQlNmbSxRPnApw\nptOpbie6sSnLctS8XL028X+rnb1uvLPrNJ74274MjpSIiIiSYaCbJqNei/IxJvXf7+w6jfZuJzbV\nn0Jv+MPRln2teOjZOmyqPxX3eK8vgANNXVHBR1CW4xpbtXc7cfhkN17ccBgvrDuUdJ5jNrQIH/x6\nMzg3tE3IVJ1q71ODN68/mPVg7WyUKLOnlSR1e+W6j/HurtNZ71ysZF9nnlMOSdhvd3rVOY9FZgOA\n0M86VUa3qdUOa09m1p3t6fOM6HsrEAxG/S4rGd3AADK6Cl2SQIoyR7yBJ1ZOJJqj6/YGon5+yeZY\ni8GwP5C/jQyJiIhGClMDgzCuzIzPzZ2Mnj4vPtjbgp8+vwMeXwAvbWjANz43HRt3hgLclzY04NpZ\nNdBpNejp88DjC+C1LU3Yur8VNRWFuG52DW68bCIeXb0bbq8fP/7KZdBIEg42deG3q3err+f1BXG8\nxYZp48egrcuJR9fshlYj4Yd3XIricIAwksTAKVmg2+fywenxo6qkYMDP2yoE0GJ5n8cbgNPjR6FJ\nP4jR5q5Ea3ZqEwRBLo8/4yXm6VACO61GwuP3zkOfN4gf/s8WrKs7qR5jETK6YnmoOCey8VQvxpVH\nz5MfitUbj2DDjmbcc+slmHVuRcaetz/f+8MW6HWRn1GijG6yQEmRrHyWMkdsRiX2CAgEZfgDwaib\nDXGdw13Rj1WqFcTnOW11YPI4S8bHTURERBEMdAdBkiTccu00+ANB7DvWid6+SLD37OuH1A6yAHD4\nZA9mTC3DU6/uxylrH1ye0IeiMx0O/OXtIzh/QgkOnegGAOw+0oFPnFeB//1nQ9xr7j3aiWnjx2DX\nkQ61Q+uR5h5cekHVcJ5qFKfbhxfWfYyPhFLqxlO92HagFVfPGBd17EPPbIfN6cMf77sOep12QM/f\n0hUf6FaMMaGj143OXvewBbofHmrDB/ta8N1bLokKQs52iZa30oTfe2KW0un2o6x4xIYVJxAei0aS\nUGjSo6rSFHeMOkfXH1SXcgEiGd2mVhv+66WdmFodOZFgUFbPN102pxcbdjQDCFUozDp3UE+TFlmW\n4xqr9SWYo+tyx2exA8I18eZpX4CRJDZ1i10uyOuLDnRjq23E+b3WHlfCQPdEm52BLhER0TAbPZ/q\nz0I6rQbfvnkGxhQZcOn5lSguDGVXA0FZ/RDz6JrdWPGXXThyqlcNckW/r92jbn+wtwV2lw8tnU4Y\n9dHB4ds7m7F5zxkcPd2r7jsVbnoSCAZHpDvtO7tORwW5imdei+4uerLNDls4I6KMcSDahUBXedyM\nqWUAgC7b8K3Z+/Q/DmD/sa6016Pt6fPgtLVvQMcGg/Hl6UOVqJxduckifqhOlSEcbnJ4nFJ4bAVG\nXVz5bao5uifbQtdZ/BmJAV+XzZ1WOagjKks3MhlSMUuo6AuXyIo/y0Tj6RHKZ31JlrihzElULaGI\nnaer/OyU93Sf8HMWf27i72QmexscaurCr17aGdW5m4iIiBjoDtkFk0rx2LJrcPcXLsZd/3qRun/x\np6bBZAgFq0rGNpEeIRvceLoXHeG5h9Mnl0Yd5/IEsHLdx9gplPSeCgdZz7x2EN/53fv450fNkGUZ\nz71xEH/4696MzwOzOZJ/kPrnjma1hE8sOz4Rbph0+GQ3jqRoKhWbOQGgZvA6bZmZk9mfQJrX6/tP\nbMG3f71xQPOn7396Kx55eddgh5ZQog/jSn5TLCl3ZnnJIWWOrhKES5KkZnAVlnAJvicc6Br0oT9N\nyg2cREtMvba1CV//9Sbs+Lgd9/3PVqxJ0BguGfHaJZrDbHd68Y8Pjme0q3qXPf49rPzO+IXx+BP8\nXLuE97+HGd1h19/vdLO1D/uORZZVUyoWlL/34u+b3enDL1/8CHUH26JuriRbpmgwVqzejSOnehPe\nhCQiIspnDHQzQJIkSJKEqeOKIQEwG3W4YFIJ7v7CxfjKwgvU47QxZZY3XDoBOq2ET18+EVdeNBZ9\nLh9+8eePAADnTRijHieWawLApedXQquRsPOwFf/14k58eKgdgaCM1W8fwdP/OIAt+1qx60hH1BzI\ndHi8AbURVJfNjW37WxGU5bgP/bOmlavbf9l4BKveCi0D1GWPZDFOtNnhDwTxyMu78KuX6vvNnsV+\n+DPoNeocX7EL6nA1chFLDjd8eBJ7Y9YI7ux1J2xclKohlz8QRJfNg8ZTvRldE1gJ1pQP2ECo9HfL\nvhbsCS9FA6RubjTclB+5RmiUFVtxXCSWLvsDKDTpISGS0RUzY4p120Pv7zWbjgAANiZo/ibLMg6f\n7I57zwQC/Qe6z7x2EP/44Dhe23oixdkNXHeCqgR/ILRUUlD4vUh0w8XpivwMmdEdfsrNGeEtq1Yd\nPLZmD/77//aoGVQlKDbq4/87PdjUhaOnbfjj2gNRv/seb+Z/huYszsMnIiI6GzHQzSCzSYdbrjsH\nSxacC61Gg4unluNTs8djxpRQdvZfrp4cdfzNn5yKp5d/CrcvOA/njh8T9b1xZZGmO7fNn4b5c8ar\n/75oSilmh5vnNIZLmSvGmCAD2PFxu3rcxo+a4z7gN7XacPhkd7+dZh//614sf3ILbA4vXv3gOJ55\n/SD+/NbH8MR8wL7swiq1tBgIzUcGEDVnubm9D0dORcqtG5oj27Hc3gB0WgmG8DzZYrMBxnAQp5Sz\nfnioDd9c8W7C7PDJNjue+Nu+tEp1xcyNEkx39rqxelMjfvdKpKz8rbqT+MFTW7H/eFfUeIDU2Wbx\n2EyuoamMXWz41drlxHNvHMJf3zum7htIoOsPBPHaluMZWxYrapzqHF3h9WIyZpaY0mW9TgO9XqMG\ndR39dFmWwnnsRN2It+5vxSMv78L/vROd7RXX4U1U9q9US3T2Zq6SQLwBJPL5Q52YlfEnytSL+9iM\navgF1OA1chMptgqhzx3dMdugj+9FIN5E6RumjK7CN4gbgAebuvqtOCIiIhrNBhToNjQ04IYbbsBL\nL70EAGhpacEdd9yBpUuX4p577oHXGwoQ1q5diy9+8YtYvHgxXnnlleEb9VnsX66egnmX1ETt+84t\nl+DHd1yKRfPOwf1f+gR++tXL8f3bZqGoQK8207l8ehUqhGWLxCWMyotNuG1+pFvOjKlluOtfL1L3\nTagswmevigTRjy67Bp++fCJsTh/+b1MjfvLch/i/TY0IBmU8uno3Hnl5l9oZOhHlg09Tq10tmXx/\nT0tcExy9ToMCIZuofJDr7fPAqNdibJkZx87YsOIvkZLdXUescLp9UUt2KDy+AEwGnXruxYUGNehV\nyjWVRl3v7T6DoCxHBey/r92L+gYr3v4odG4fn+jGn9YewO4jkezm9oOtWL3xCKw9oaV5bMJcOWUO\npfjBz+31IyjLaqC0L5zlFctQUwVDYmDy7q7TGVvORvmAXVUaCXS7EwRTYuC/ZV8LWjrjg9l36k/j\n75uP40+vHcjI2ETBmDm6QHRGFQBM4WyU1xdUA12DTguvPwCfPwBrb/xSSgqlc7FRr8HzbxyKCmqV\nEtPYtaijM7rxNwKU70qD63WVUFeSGyI+fxCBoKxmBGOvDQD4g2xGNZLULK1BDHSjO9zHZnTFygqF\neBNMXD7NO4RA1+MLYEN4qojYNGswfRp+uzrUQyKTN3SIiIjOFikDXafTiZ///Oe4+uqr1X2PP/44\nli5dipdffhmTJ09GbW0tnE4nnnzySbzwwgt48cUXsWrVKvT09D8nM18YDVpMC2dsL5xcisnjLLj4\nnPKoY4rNBvzyrqvUf1eMMeGGSyegpMiAEosRRr0W59QUo2KMCVWlZhj0Wnz68on48qfPx/dum4Xz\nJpYAAKbVFKPUYsRVM8YCAN7eeQqnrH1468OTOHSyW50Hq2Qmvb6A2g22NSYAam63R3W1jV1DUq/T\nwGSIlMspmcsehxdjigxRmUZlzuXmvS34f7//AL/480dxAZ/H64dRr0VZsUm9JkqWxBv+ECc29PnG\nI+9gzaZIUKMEeUoGc9Ou09h+sA1P/G0fZFmG1xfAn9YexIYdzWpZtxgYKg1ixED3RKsdbUKTLCW4\n7BA+GCYKYDbVn8Kb20+Er1vkA2hTqx1N4XnLQ6V8wBZviiSizBlsPNWL5944hF+9VB93zI7DoUoA\nMRufKUGh67K6LyZraQzf0AgFtkHotRoY9Bq0dDrxrd++h9P9NDVT3pdefxAf7GvBW0LJvvK92Gyb\nWELvThR0hIeXycxbbPm1cjmUjK7S8TthRlcIfsXS5VDZM9eYzjR1WoDwvimOzeiGb+wp7+/YBoJA\n9N8GsZHaUN5Xb2xrwuqNR/DCuo/R1h3525Tuetlipcn6Dwc3zYWIiOhsljLQNRgMeOaZZ1BVFVnG\npq6uDgsWLAAAzJ8/H9u2bcOePXswc+ZMWCwWmEwmzJkzB/X18R+oKTm9ToNLL6jE5LEWmE16LL3x\nfDz2nU+qJY0P/tucqGBYo5Fw/ZwJKLUYMb6iED/+yqX4/pLZAIBJVfFLV7zw5iF129rjQm+fB997\n4gP85e0jeO71g7jrv97G2x81q8c0tdqTlt4p4zUZoz/c/deLO2FzeFFSaEBlSSQAe3TZNaipKITH\nG0BQltFp88Q9n9sbgMmgRXmxkNENf3j0+INRwYkyB1VZIkYMmpVsrdrRVpbRbfdEzfM9fDIUzIrB\nhxJEixnPplZ7VLds5YOrmAHpCO9zefz4+aod2La/FS9taEDtu0dDAXZMqakyvqFSmuAocweTUQL/\nY+EP2n0uH1ZvPIIn/7ZPPaapJRR8ZyrbLFIDXeGmyWdjyviVn/ORU73wKqXLA1yWSiF+cLc5vTjY\n1JW0rDxVMyql5L8nSbnxYPhi3gdKl3afP4BAUFavQaI56GIwKzajeuiZOvzoT9uHPLbT1j48/Fxd\nwmx/PgomKl0ujM7oKn+/EpU5K2I77Su/q0MJdB3h+do7D7ejXcgSJ6pM6E+vI/LeFrPNREREuSJl\n9wqdTgedLvowl8sFgyH0n355eTmsVis6OjpQVhaZr1lWVgarlV0g07XsCzOTfi/RHETRtJrIPF8x\nqPiXqydjU/0pdIab4WgkCdYeN97YfgIuTwBv7zylNsp6b/cZaCQJQVnGqfa+qHVlbTFNl/RaDQoM\n0e8NZc6wpTA6o1to0qOmojBqDmhbtwsWswHBoIxtB1rhcPsxtsyM8mIjAKC4UK+Wc3p9AbR1RT6M\niR2a739qKy6fHrkRc+xMb9yapaesfSgUAsKWTid6Hd6oDKZSxix+CO3t80b9W7mGYqCrbNcdbMPx\nFjueeT2y3JLN6VObeBUV6NHn8qWdeUlG+TB+4eRSaDVS0iVRlEC3KRzo6rQa9QaBxxeAViOpwZXN\n6YPT7YM5g2sWy2ozqsi+hVdOwjUzq/G9P3wAAOr7TMmwG3QatWx9MP7z+Q+jOpp32UKNxKRwGlW8\nVrElnx5fQH1/JZtXOxixP58xZgN6+7xq6bKhn4yuGPz6fEF02z2wmPVoFaoNkumyuXGizY5PnFeZ\n9JhnXz+E01YH1mxqxL2LZw30lM4KJ1rtGFdmjiozHqqALEOSEPX3zxJzQ0lZRihRmXMyRQV6uDz+\nIQW6SnWMPyBH3cgZ6N8Va48LRr0WPfbI70eiZm9ERESj3ZDbNCbLAA0kM1RaaoYuzaxNOior47Oa\n+eQnd16JNf9swJcWTodOr8M/3j+KiWMtmDi2CFv3tqhzWYHIh+vTQiDa6/CqWScgfu3HyooiVNgi\n+8RAttfpQ0V5UeTYSktc8OTyB1FZacGf3zyIVzaGOucWFxpx7uQyYPNxTKopQU11qCQbkgStIfHb\ntaPXrXbgBULB2rcffS8qg9bl8KGoKJQpLjTp4HD70dnnRUAop3V6/KistEQ9LihJMAjjbu9x4eHn\n6qJKaT2+0HnYEjR9Cmo0MBeGXre02IQ+lw9avS4j7029PnQ9pkwoxasrbsZDT2/BHmE+ssIbCI3v\nRHuowZJeJ0FJCgY0Gowpji599sgSJmfwd6ewKJQ9H1NcoJ732KpijAUwbcIYjCsrRPW46GZshWYj\nEkxVHbCemBJsnz8IvcmA0vC5FrVHfn6+8PVRnGqPlJb3OrwoKyuENsVNpoHQxvytqyg142R7Hwot\nJgRloCD8PtNoNXHvj8CJyDSQZmsflj+5BdfOjjSo6/UEsGH7CXz1cxfhpbc+xk1XT8HEsaHn+I/H\n3oPHG8D/3H+9uu/Dg62oLCnA1PDNMWUOcFGhQX3t3760E0dP9+CpBxYM+dxT8fkD+OKDr2PBZZNw\nz+2fABD6P6Sjx41KYQ56rEPHu/CzF3bgyhnj8NDXrwQA7Gmw4s1tx/H9pZcO+vdMq9FAq9HAXBD5\n+1czNrr7vScgo+GMHUXh3+8xlsjvUWGBPmo5IUVRoQF2pxeB4OD/fxJnkDS1Cet4a+LfN7GCQRlf\n//UmaDUSfvDly9T9dqdPfWy+/79JRES5Y1CBrtlshtvthslkQltbG6qqqlBVVYWOjsiH7Pb2dsye\nPbvf5+nuTp2NGKzKSgus1szMhRytplQW4oGln4DX5cVNl09AdakJs86twOtbmwb0eLc3AJ8/kjGI\nLcHts7sR8EWCu19840psP9iKP609iFnnlGFKZahz9JLrz4XVascNl47HgWOduHZWNf6++Thee/8Y\nxpcWqEEuAEiQcV61Bf++8ALMnFyCrs4+6LQa9Dm9ONNqQyq3LzgP+4524EBTKLgqLjTA5vDif9/6\nWA3mz5tQgt2NHWg82Q2rULLXY/fAarXD6fbDYtbD7vRhQ90JbKiLLDHj9QXi5ovanV5YrXYcPBof\nZDae6EJBuLy7MPy1s8uRkfemI3zjoafbCW0wCIcz/oN1ebERp9r70N5uQ0e4ZFosp2w41okJVYVR\njznS1InSgswtVdIbbiTlcISur/i7+eMvXwoAcdcjGAwig32gAAANxztxTk0oWOkS/vY4XT789e3D\nmFhVhKnVxWg+HekMHgzKON7cjTExZauD4XJFB9+mcGau3dqHQCAIOShDq5Hgdvviroe45JCSoX9/\n92l13/f++z0AwOETXTh2xoYte05j+ZLZ0Gs1asb6TKsNJk3oPfzz5+oAAM8/eH3UcyIoq6/93q7Q\njbBTZ3oSluUm8+b2EzAZtLh+zgQAoRLfl99uwL/OnYLq8sKEj7H2uCDLwNs7TmLpglCTvXXbT+CV\nd4/i3sWX4JJpoS7zz75+EN12D37wpVAw/NGBFgBA3YFWddwP/XErAODa2W04v2ZwQZvH64dGA8hy\n5LpLMUuj/TXc9GxMUei9IQs/o2Jz4kBXJwE6nQZOV/zPeKA6hPfuSWG+f4/NlfI5laqcQFDGidOR\nmyc9fR60tPaietyYYfl/k8EzERFlw6DSFHPnzsX69esBABs2bMC8efMwa9Ys7Nu3DzabDQ6HA/X1\n9bjssstSPBONFINeiyumj4VRr0WN8GHzk5dUq9uJuoYmK4cFEs/Rveqicfj5N67EZ66YhLJiE55/\n8Hp85opJAELdoVfcPRdXXzwOQKjM+b7/2Rr1eJNBC51Wg+tmj1c/XBv1Gnh8AbWpUn+umTkO31sS\nucEyZZwFRQX6qPOYNj4U7Fi7XWq5cnW5GQ63H69uPganx4+SImPcc+u08aFXgVGndj49nWBpno9P\ndKP2naMAInMyM1a6HDP39URb/AfUSWMtsDm8aO1yxs0RBUIBhhIIKaWXmRqfMkblGmvSaGGs12qi\nykYzwSPMYRTne9ucPryw7mP8fFVoDevYstKhdMgVxf4uKe+HX/9vPQJBGRqNBJ1WA3+CVHZ/v4ci\npQS1y+bBb1fvxp+EMnqlyiZRObZyjkohjlgqnShgU/gDwagyflmWUfvuUby0oUHdV/vuUWw/0IYX\n1n2c9HnsCW7SvLEtdB0vfuYAACAASURBVINpd2NkPeut+1tx6ERkebT+/iYMpTt1MHzTQR/O5Ou0\n0R3mRcr0h6gOzQX6hDdqTAYdjHrtgEuXP9jbgpf/2RA1R1uckmGNmqOb+jnF5nvN4QoPpSdC7NQU\nIiKi0S5l2mb//v145JFHcPr0aeh0Oqxfvx6//e1v8eCDD2LNmjWoqanBokWLoNfrsXz5ctx5552Q\nJAnLli2DxcK7uGejy6dXQauVYDJoMa68EB/sDWVF5l5Sg03hZlQGnSblep2J5ugCwPiKxFkbRVmx\nCdfOqsb7e0KvK5Y8GxM8n0GvhdcXULNOd3z6fFSUFMCg0+CRl3dh0bypeHXzcQChucAA1HnGFrMe\nk8dZcCDcZRqIzGXeWB8p3a4pL0RLpxNrtzQBCGVkJCnywR8AqssL1Q+HkXMxosvmgSzLcY1nAOCd\nXZGsW3F4eRJXmk1jklGCH2V+dVVJAU53OFBg1KpjmTzOgl1HOrD/WFfC57D2uOD2hgL/MWYD2r2u\njHYafrx2L/aGl2QS542notFgSHN0ExHfz8kCx20HWuMqHjIV6MatHRzTxVerkcJzreN/7wYa6Irz\njbvtnqh50crPNVGDLuV7ylJU4jF2p0/thB7r5X824N3dZ/Dwv1+GqdXFcQ3mgND61kD02sUujx+9\nDq+6XniiIEsJYgtNob8JYrDn8vhhNunVJX4SdjwewpI5AVmGRpLUmy0mgzbhOrkicQxF4TXAY4NP\nk1ELo14Lm8OL1RuPoKaiENfOqol9KtXz4QaCpcVG3HRlqIFbn3BTICjLqCwxwdrjHlCgKy6LpnSX\nnzLOgk6bO67cn4iIaLRLGehefPHFePHFF+P2r1y5Mm7fwoULsXDhwsyMjIaNTqvBFdPHqv9+/J55\n6Ox1wytDDXQnVBXh2Jn+S4X1Ok1aJY0KjSThqzdNx7/deAGaWm2YWl2Mb654F0D0ch4Kg14Lt8ev\nfggfV16I6ZNLAQBPLb8OBp0GPXYPptZE5tAZDVq4PH4YdNq4gGlcuTnq34UmXVwG12TQwWTQRa1T\nWV1ujgp0NZKE4kIjznQ44PUHoz7IJ5LxjK4S6IYzzf/v1ktwsKkLZzqc+OdHzZAQyugCwF+E8nBR\ne49LXV6nuMiA9h5XxgI7AGqQC6QOdO9dfAl+98peAKFrFPve0mmlhNnOVJQmYFFzr5MEjs+8FsmA\nGg1aeLyBlDd8BkpcIshk0Madn0YjQatN3FQskKATcyKOmHniYsZTCWZjA0CPN6BeVyVQFTOFdlfy\nAOjd3WcAhJaumlpdjC5bJGOorIesLMUlnu9/rvwQ1h43nrj3WphNuqj1rMWmYUBkGSbxmD5XqGGa\n8npKZYn4+9oxiO7m/9zRjPf3nsFpqwMWs17N6Br1WhQY+//vUqxAKDbr1UBXrPpQMrpub0BtCPfJ\nmdUJfzfE9a93NXSoga495mZCebEJNqdvQF2XxZ+PcjOjpqIQOxusbEhFREQ5J7MpExqVigpCWc+p\nQtdmJZAEkncTHWppqV6nwXkTSqK6SWsTlAcbdRr0OrxqttUsfOA06rWQJAlfWXgh5l0SyYwoZdge\nXwD/es2UqDLC2EyaTqeJ22cyaNW5tYrY+YUmgxZmkw6yHGpaFCt22R810B1ACfZAKMGPUhJcWVKA\n62aPV7uySpKECyaWRI1DyY4Boeto7XHBHc7+jglnnDOZ0RWlSuheMq0CU6tDNyvcHn/cDYorp4/F\npy+fiG/dPCOt11XOXyxlHUiGVOmym7nS5UiwWmDUqUGUQs3oDqF0OZZYZdDn8uGv7x2NKnH3+QNR\nAY4S6LYLQaKSQbQ5vfj6rzfhtQRz/JWyfnHd2D6XD063X31OpWy2p88Da0/ouI7w/G3x98flCUQ1\nM1SCd7Hsti+8xI4SRCtvLXHprsEs4/WXjUfUOfgaTXRGN1npskIMVosLDWo1iFjhErrBEf1zbxTm\nhItOCPNvlfegPxCMCuaBUBWLKXxTJpXuBGXrFeFl4GxOZnSJiCi3MNAlVXVFIR5ddg1+8x9XY/Z5\nFer+UiHbqRU+zOl1GjV4iw0U06UEZ4nmkcaWDIrBWjJKkBKUZUwZV4znHrwed33uInzxunOg1Wiw\n5Ppz1WNtfd64NTKNBm1cIFIdkwk2GrRqJ+n/enFn1PdqKgpRE3O8MqZMZXSVdXS1MRGk8gFbkkIB\n1X23R+YsV4aXfLpoSikqSwvQ0etWM0HF4aY6Hm9mMpixBjJHV7m54PIG4tbRLR9jwu0LzsOEyvjS\neOWpDfr4P2lFZiXQFUqXwzcJzP1k6SwJHjcUYrBaYNTF3SjSKnN0E5QuJ1pbN12rNzbijW0nsKk+\nUk7vcEcvdaPMx40qXQ7v+zhc6vr3949h6/4WbNwZ37VdnP/rcEWW1gIiQdbuxo64fWLpcp/LGxX4\nOhMEukq2UwmslWM6xPWte4e2NqxWI0EX/hkZ9FoUpPi7I/4eWswG9ZzOnRC5gZioBFopIY4lBrqe\n8HswNmMPhG7UmfTxZdKJdNujs/lajQSzUbmhMzy/90RERNmSudaqlBNKLaGg1iAEGaUWo7peZ2GB\nXv0Ap9VqUFNRiOVLZmN8guAjHUa9Fl5fMGE2MTZ4MQ8g0P3W52dg1VuH8cVrp6n7lCZYANQGWWs2\nNUJGqNQwajwGbVwpsjKfUKHXatRyRuWazD63Al5/AHd85gK1CZV6HgZtqKQ6Q3N0lfLb2LJHJRum\nBH81QkZp0bypaOl04tpZNVi57mOcaLWjLdzFVeksPFwZXWkAc3SVOd9ubyDu564ECInmShYXhtak\nLSk0RmUjgcgNBp/wQV6ZLzul2oKDTYkDjaLw0jKZyugGowJdbVwgrwlndH0JbjQojzUlmPc5ULGZ\nQCAUOIk3l5xuP4JBOSroUTK6Yhn0s68finoeJdCMDZDFBndub2ievVMI1hIHun5IwjGOmIxw6Bif\n+pxA6GaEzx8YUuly7JJ4GinSjMpk0CZs1hd1fExGVzFlXKRXhcmgi6uQSVZyLM6Z9fkD8PmDCbPU\nOq0Ek0E3oDm2sccY9BrhJuPw/N4TERFlCwNdSkj8oCaWExeadOqHUiVDN2Nq2ZBfLxRY+xIHujEB\ngSnFXDkgVGb84L/N6feYc8eHMi0XTiqBxRyd0TXptXHzOAtN8Vnr2KB7YlURvnDtOQDiS7sNOs2Q\nAhXRG9ua1AAtPtANfVXmOYql4WUWk7pUS2W4ZLE5vBan8jMfbGC3ec8ZVJcXRmWwRAPJ6F4+vQo7\nG6y4cnpV3PeU6yk+y12fuwgtXQ5s3d8KIDT/OjbQLUxQuqz8bM+fUNJPoJvZTJdYklxgSJzR1Wo1\nCATjAx8lYzqhqgiNpxKXug6Gw+X7/+3deZwU5bkv8F9VL9Oz7z1sMywDzMDMsA77JooYxBjFAwcN\nEE0QcURjbogSIPGca4K7WUj8uOG50WMiBnM95JiIN55oEjOgoBIgbiwqywgzDMy+dtf9o7uq31p6\nG3romfb3/Ue7urqr5u1qPv3U87zPq7vOFfiypWIGWZu3GyJwbG43B6MtbV3IStN/r841tevXt/Zn\nGI0ZXZfQlM66dNl33l5DibN43m0W2c9QjOXhNqF0Oclhg00OXQBlE65v8caZOk8esJ6bHaxiQP23\n0CZL6OzyYst/7tOyvBJ8nxXg+367nL5Ozl5/E61gjN9tsYcBM7pERJRoWLpMQc0d71t6yO0vdwUC\nQUOsVV1bjoKcFFw7Z4TpOeMyIdEsUxNK8eBMfH/FJNy2pMIUsCY57TBOi0xy2vD1y0drjxUopgY1\n4uM5hm6qTrsNLqf9ggNdRVHw0ptHAfiytsbxSE/1fUZiBnp6ma/5WG5moHuu+rl+8Lkv0LuQjG5X\ntxf/8ccPseU/9wXdJ0ycAACYOqYA962ZjsUzh5kynuoP8pxMF6aXFeDmr47FjPIBWDK3GJNH+wLj\n6WML8JN1s3DzV8dqr9MyuhZdl8UgxEgtXe6IUabLI6wNnOKym+YgyyG6LqsBXJE7LSbnompt7zYF\nWq2GLG+TRYMqoxb/nFkxo9rc1mVqHtbUqg+iz/mbI4ndmpvbutClWze4S/df3/H0+wBqoBs4XrTl\n3sZA1zhHNxxjRnfTyslYeUWJ7ntoFehaTdcAAv/uqc3UxFJm8Waf3SZrVQ5dYYLVzm6vafqJ+toL\nWY6JiIioL2JGl4JaeUUJxg7LwaghWdq8vjSLrGYsDB+YgfvWTLd8zmpeWqyMGpIFwDzP1eW0mX74\nJjlkXDZ5CI6eakD1odNQFJgCXfEH8Zih2bh/7QxseLwagO9HZbLThtP1rXjv41pMHJ3fo3MWz8sq\ny3R5ZSE6Oj2YN2Gwtm314rG4adEYXRZRDfLUTE5GlIFuZ5cH3/3lW1hQWYiFUwq17eeaOrQSeFGk\nNygK/IGB8TNRM/uyJGHNV/UNqZbOL8a0sQUY4e+8rTa1AgJzdLss5ug67DKumjkMh0+cx4efn9e9\npzZHN0aZrm6vgvzsZEwuycf44jzT3+ebo2vdWdobQWDeEw0tHaZrqKPLoxurZn+TImOmXKQGoWLG\nsKmtyxRs+kqMA9s+Pd2EZ1/90NT8SqyeUL//unOyeO8Wwzav4ru5EC4TqzJ2thbX0Q3WkM+4vyo9\nxYmBuakoHqyvbnA57aabhd3BMrr+G2JpKQ5TszvfEmK+cbHbJK3BVUeXJ+S5dnV7keKya+sWJzls\n2r8JsZqLTkRE1Fcwo0tB2WTfMkSZQvlhJD/4Yk3M5PQWl9OOp++erz122GVT6XKgBDjwg9aYCXYZ\nOjXnCRlUpyOw1MrW3x3o8bmKP/iNwZJ6ntfMGaELNsXslGr4wAwsnjFUe5zmcsAmS2jr6I4oG3ay\nrgUt7d34r78dw4efB8p/v/vLt3Do03q8+3Gtbv9oM/HGcC9Ul2+7TdaCXEC/Bm+g67I5o2uTJSyZ\nOwLfWRZo2GV8XazmLno8CmyyhKWXjMTowizr0mVZtuy6rAa/g0KsUT20B0Hwr179SFurVW3y1tnl\n1ZcA+zs3i0vTGKnBaIdwU6BFWNJJ/Xejs8ujy8SerG3BG++f0l3Tr+09jm2vBOYAt7R3wasoutc1\nt3WZAsRWoXRZvdK6uyPvVm1c51iWAs2oIllGTczoBmuYZ7dJpn4AQTO6/psG6RZVNGJpt90WWOYt\n3LSDrm6vr1zZoTbZkrXvSrhsMBERUX/DQJfCkiVJazZ1xt+46GJSm9cUFaTh3m9N7bXjiIGY16uY\nAl11zqu6m6KYgy/xB6jxPZ12m647dU876Yo/+MOtTRvO/ImBrK/aEfZYTRO+/8TusK8Ve/dsfUkf\nuD/xX4fwC0MwH+25GpsDWTWhCka8IZPubyrVZbG8kHpOVkF0urbcUuy6LovZReMxZVmGTZbgVRTT\n366WMzvtMm6+aqzuBopq6IALy/aqmUYxo5uSZNeaJYXK9KtdkMUxFsuL09QgutsTNLBT1Td26EqZ\nFQVo79C/rrWj2/Q+7Z2B0mW1tNeqg3UwxhsMspjRjSTQlST8+OZp2LRqsm4dYCNjPwBjCTbg+3e2\noaUTkgSts7tIXOpILF0OV43R1e3xlSv7qyN8QS9Ll4mIKDEx0KWI3HJ1GfIyXbh61vCLfuxZFb65\nwv8yrxiD82M7RzEYj1fBamGepyjwE1YxzbcNtdamwy7j1q+Va4/FDrWR2n3oC9z5879pj60yutHI\nyQgETC6nXcv0nG1sN3WdFr1/uA5P/f5Q0OfFQEUVfaCrf2yc0xqK2MBMLV3+y/4aHDx2FoCQ0bVY\nt1l7XS+soysez9hkzSZJ2vPGsvnA+cqYUT7AMqgdFkWga1VaLv69ahCZluJAW6evyVGoALX2fBt+\n9OxenKht0dbUbe/yaFlXNVjr7A5ki41Zz1AZ+/bObl1AePBoPe7yTwlQKy0OHavXlupRpxBYlQW/\n9OYRvPzXo6btxhtPtijn6NpkyVeuPMjcjE0d24xUp2kpNuO4nq5vxYYnduNEbQuSHDbLJbOSdXN0\npUBGN8xNhC6PF067rK1p7XSwGRURESUuBroUkSH5aXjw1pkYV5x70Y/9L5cUY8ua6Sgf0fvHrvAf\nY1BeKiaMzMMzGy417yTERtnp+syaMaMrcjpkDHGn4epZwwAAdefNge7p+lY0NAcvEX3y9//UPb7Q\njC7gu4mxaFoRkpw2XVDX2BJ8uZKf7/gHTodoTmQl6tJlQ6TrsPjBH4xdCCjF0s9Ht+8HEJjzahcy\nrMYOwWogdrahPWwWMhIejwK7oRGQSPavowuYgy4126je2LD6bIYNjDzQzRcazKnShIxut8cLu01C\ncpKvy/qPn90LIFDNYNTtUXD0VCMAIRPe6TEFtZ1dXiGI1o93mkWJrhrQ/e4vR3HkpK/btHHc1OkD\nbx38Ah8f982zVgNTY7a0tb0br1R/hp1vfWo6llUzKrV5m9V4GYX6Lv7bTVNw27XlGJKfhgxjRtdw\nbb25/5T2/75A1Bxkm5tR+cakvrHDVIkCAA3NHXjoN++hrcOjGz+nQ9aavnF5ISIiSjQMdCkqkiRh\nxKAMXDppcPidY8Ruk01r2PaWqmvLcc+NU7SlhwDfj3ux8/QIf8ambHguppcPwBoh85ucZP5Renll\nIYoHZWhlq+qPZnG5lvbObvzz03p8/8ndWP/Y3yM+3wvN6ALAtLEFWDp/JIDAfEwAeOSF91FvyDor\nioLX953o0XEi7AmkKSzQZ++tfvAHI5aOWnUKNwaOALBx5WRMEhqEqVmyfR/X4qn/1t9giJaiKP7S\n5cDxxGWfAF92WX3enNH16s53iX8Jq2vmBCosBubo5++WFGZhSH4qbrqy1HSd5GaYM7qpQta1q9ur\nNU8DgGM1vo6/+ZnmgM+YaU91OSBLEo7VNOKPez4HEMjovvD6J9j3kW/udlqy/qaQVaCrBsh/P/gF\n2jo8sMmSKbuaYrHcmHrDyViOLM4lN7LK6I4akoWf3D4bk0vCN44L9V3MyXBhcomvM3i4jO6BI2e1\n/08S1rkVuQyly+q1+sv/ewAv/vmwaf/n//SJlu122GXtjoXTboPdJkGSgA42oyIiogTDrssUtc2r\nKuN9Cr0myWEzlYU+/t1LdEHavPGDkJfpQklhFiRJwvSyAVqm1Ri8AMD1C0bpHquB7rO7PsJr7xzH\ngJwUvH+4Tnve41Xw3K6PsHR+ccgMMRCbQDeYk3Ut+MG2t3HDglFa+fiBo/V4/v993KP3izajWzYs\nBxtXTsaW53xLFkVTuiyyCoTUwFHMwuVlJmPp/GKtiZY4J3jvh2d6dGyVGsyIx3M5bdrSMYDajMof\n6BoCNGNgXlKUjWc2XIrDJxrw8l+PAfDNS77r+onY8eYRHD3ViPzsZNx9pW8t6f/4w4e693Ml2f1L\nGQWOo2V0O30No3zrs+rHLi/LZeq+XJCTguNnmrXHSQ4ZSU4bWtq7tSyvsWkbEJg7bTy+KDXZoTVw\nAyDMLw2Uxlu9t3rDyZjR/cBizeSzDe2499m9uvnqQOCzyhTWFA/WFRsApAi/i8ZO7aass7BEk9Nh\nXo4I8K3DLJ4TENjntXeOY/ll+n9zPq1p1P7fYbdpRSkOuwRJkuC029iMioiIEg4zukRhOOyyromQ\nLEuoGJGrC4RuX1KBBZVDLOc+Gg3OT9UC4i/qW3VBrurP751E1aN/wZMh5sFeDG0d3dj2ygfo9nhR\nd74Nez/qecAXbaArSZIus251EyGi41oEIN1B5ui6hM/UKpMWrTPn2/DWgRqsfeRN//H019HP7pgd\neCxJ2vPB5uga/xZjGW/p0GxtrV1jiazI5bCZypBT/RlWtRmVwy6buojnZpibYBUYqi2cDpsp62qc\njyvBHPBZ3ZAwBr8Ou2zq/G71uuQgGd3zLeZpAYdPNqCxpROfnNAvL2V1vVZdW4HMNCdKi7JMz9ki\nvL7FagOXYboAoJ8TLi7/IxIrR8TS5WCMNwvUSFedHeCwy2xGRURECYeBLlEMTBydjxsWjA7ZbVWV\n6nJg/fIJKMgOP+9v96HT2v9/9kWT6XnjPNbecuRkA+56vBp/+0dNj98j0oxXMNHOR543YRAmjsoz\nbfcqgY7a5vWTA0FTNKXSwWx4vFq3VI7xeOL1YpMlbQ7vPc+8begS7bV8vVUQpN6AEZexmVLq1lUq\nJDltpmtVDSp/95ejqGtoh8Mm6zKHAHTr26qM17HTLpvLi13mgNUYRFvNwTYGunabbMrsW2V01eM/\nsv193fdGLBNWvzv1Tb4gUCzbB6yvtwkj8/CTdbMxINe8zFNP5sunJTtMGV2xy7fDJlvP0Q2yvJBK\n/Heh1bAOucMuaxldda8kh8xmVERElHAY6BLFwejCLNx3ywwUC2u/BuNVFDS3deHf/887Fs/F9rwW\nTB4CAKYA8YFfv3fB793TOPc7y8Zj0fSiiLLlom98pRS3XzfOtL2j0yOso6v/J1DMjBkDl1jcVAhV\nam6zBbouN7d14fiZFgDAU78/hL/7bzAYX2/VGVsNdNOFkttbrynHD78RmHKQZJHRNQWVFgGrVebQ\nOH/eqtzWmNG122Rd9hywLk236sxsXGbKavkdNRBsbuvCj/yNtAB9tvR8cyf+caQO9Q2+LK+6jJIq\n1Gdlt+jWHc00ghsXlWoN4MTO0F6vopsrrCgKkiy7LlvP0VWJXc/bOiwCXW2NNHWbjc2oiIgo4XCO\nLlEcrb9+Ip7+739qDXqsNLd26RpXiaw6rF6IGy4fjesXjIIkSfjm/f8T0/fuaYfoihG5WjfsWDjf\n3IEz/o7RVhnWq2cNM5XjAkB7p0crt21u60JrRzcOHDmLCSPztO684dhClF/LsmQKvAGgWsjqG59X\nm0PNmzBI26ausWsMQMUMrixLpoyusWmXwybruvsC1uvJuo0ZXYdVRtccsBpLkB0283tbli4bA12r\nZlRCICiWgYvZ0/uf34fa8+3auRoDwlDXq8Pic4zm+p473vd5ffDZOV2W2Vg+3O1VYLcsXdbP0TUG\n/2fOtWndr40BvFgFoPgjXaddxnk2oyIiogTDQJcojpIcNswoGxAy0L1z698wdYzb8rlQa932lBoA\nFWQnR72EUCjRztHtLT/c9nbIdXSvmTPC8nW/ef0TpCTZUVnqxiPb30eHfw3lV/d8hoeqZpn2N3bx\nBaBbXsjIJkm6wLvNEKAA5mAqyWnD03fN122fWT4AIwZlYEiYNacLspPx+elAE6k0q/JiU0bXHIxm\npyWZ9jE2sTKWPEsSTBldqzJsq+DbmFU2Zn2B4Oveig2Xav3Le6lrYbcZ1sQOnX03n2tPGsM57DK6\nur1QFAWSJOnKlgHfNWT1Fdd1XbYI/h97+SAuryzEV6YVmdb6dtjkQDZfzeiydJmIiBIQS5eJ4mzS\n6Hz8729OxdN3zcfKhaMt93n7A+smULHO6Iq+d/1ErLyiJGbv11cCXTHDF+6cfnr7bMwZ5+s4/bd/\n1OC1d45jy3P7tCAXAM42mhscffpFI9Y89IZpe6hgSBLW0QWAtnZzoGv1emPwa7fJYYNcWZJwx3Xj\ndM2+UpPN5cXGzKXTLmOZfykqVUaq07SPaa1bQ9bV61VMGV2rzKUx+LbbzXNWky0C3WBzVjtDZC07\nOsPP0VU5LG6Q9OT6dtplKAhck8bGVB6PAo/FDRPdHF1ZMpU3n2vqwIt/PgxFUUw3TJwO8xxdp90G\nr6JY3pwhIiLqrxjoEvUBQ9xpkGUJ08YWYOSQzPAv8OvFOBc5GS7MnzgYP//2HCyoHBL1641BWU9L\nl3uT1VxLUUaqE4PzzI2HwhGbiImsMsgaBZCEf5GNpbRAbMcwJ8OFr18euLFiXO7HYZdN3Z+TnDZ8\nZVoR/u2mKdo2p8OGq2YODZyjJJnmMxszwR6LQNc6o2soebZF1nXZGDSfb+4EgKjmoYbqomzVAbwn\nn43DH7Sr5csdhkC32+PVOoSLdKXLFvOWVeeaOtDeYc7oqkucqUsnqfOjjYE2ERFRf8ZAl6gPSXE5\nsHHF5Ij3743SZaO0ZAeWXzYKm1ZFfl4AcN28Yt3jeAa6310+AYMsAlarObFGkcy//een9brHwT6W\nUMdTFEWXVWzr6I55V+2Bub55uzkZvnJjMWg0lgTbZMmU4VOzqcaM6ZK5xdrrvYpiCpCNNxQ8XsX0\nHlbzXk2ly3Zz12WrANn4Xuoc964o5qGG6hJuFej2pHRZDcjV8zKWD3d7FG25qCH5ges3WSxdls2l\ny6qjpxpxTFhDF/AF1zd/tQyLZwzFVTOH+bb5X2/MahMREfVnDHSJ+oE7l46znIvYm6XLIlmSMHxg\n+A7RqpFDMrFwSiE2rQwEx/FM6JYNy8EVUwtN2yOpNh1XHL4R1sMvvI8jJxu0jFiwADVUMORV9Fnc\n+qYO/PpPn4Q/wSisXz4RNy0qxYSRvq7aYoBkbE7l8Sqmv10tkbW6aaGW7nq95uvSGHh6vYopQLXq\n6GxsRqUo5qy4VYBs3KexxZfRDVW6bBSqFNmqEqBHGV2bMdD1XT/qd310YRZKirLxwxsrcduSCu11\nLlNGNzAG31o8Rjv3x14+iD/u+Vx/TLuM7PQkXDevWMsMJ/k/C2NGmYiIqD9joEvUD4wrzkPZ8BzT\n9ou1ji7g++G/9mtlEe27ccVkyLKk+0Ee79Jl45qwgDm4s+Kw2/CtxWPC7vfj5/Zh6+8OAAieaQ81\nBl5F0a3l+to7x/H6vhNhjxuN7PQkzBk/SPu7rZauUXV7vBiYm4qn756vbVNLZNUAdPjAwNq8ahBv\nmdE1BLUerwIJ4QNWYxMrq+vdKrtqfK+mVrV0OYqMbohLI1YZXTXYV7tBq4HmFVOLcNu15Vh5ha+0\nfNiADN1YiJ+bw9B1eVbFQDywdkbQY1qVz6sdmq3+LiIiov6KXZeJ+qAbF5Xi3Y9rMWZothbgWgUC\n3ovcO2bqmALsfOtTnKpriWh/sctwvJtRiUvORGtWxUBkpSfhkRfeD7nfoWO+EuZgHWxDzdH1ehXL\nebm9KdjcTgDabhNbXAAAEEBJREFU+q7i56bun5xkx0/vmK2bH6sGz9aly+aMrpFVCbJlUynDS62a\nWBmP19jaBY/XazqvUELdQ7L6HCO5aWLkMMyNVTPOyUl2TC5xW+7rO37g/+02GbIkYdH0IgzI9pWm\n52a6kJHiQGNrF4wUizFYPHMoxo/MRV5WMmprm6L+O4iIiPoi3r4l6oPmjh+EO5eOxxVTi7QOulY/\n6C/GHF2jMUXZEe8rBgTxDnQzUpzhdwrBuIxOMB99fg4n65otnws3R9fqM+5NxoDw1mvKtf/v8piv\nLTGTmJHi1L1ebGz0tdnDda8zBrEK9Nlg9Vy++68TdO9pLBH2muNcyxtA5kC3M2Q21+rKDFUtYcxG\nAzHK6PrnyFqVcYtjKH6X1L916SUjMWd8YD3ltV8LfJYiq+ZWqS4HSqL4XhMREfUHDHSJ+okxQ/vG\nD9F/vWwkqq6x/hFtJAZ2EfR96lWF7jSs/VqZ5VzdSGSlRRYoP/Dr93CsxjorFioWUhRg5RUlmFJq\nvWbyxTCl1K3N37VaaiZU6XXVteWYPrYAi2cMw+jCLGwTSp4dNvOyRCkuh24fmyyhbHgO7l09Vdtm\nzJJaZnQtsqvGbeebOkxr1IpyMswNx0LeQrIYhguZo9vtX0v39LlWAOZMNhD8RlGwzuGlQ7Pxg29U\nmrZfrHn9RERE8cbSZaJ+YuqYAuRlJuNHz+6N63nYbTIqIwzGxIxuT0o7Y0mSJEwdU4BRQ7Kw6+3j\nUb8+xeXAxpWTkey04Yv6Nrizk3H/8+9GVW4cqnTWqyhwZyXj1mvK8c79/xP1+fXUD75RqSthVrPK\nYqBbVJCGz083m5pDiQbmpmLN1YE53OLnLcsSvjKtCIqi4LdvHLHcR1zTNRir4bMsXTZse++TOtSe\nf8/yPStL8nHmXBvONhqeiDIe7ElGV83cfna6GQ0tnXil+jPf9hBjYBRqXm1mqvnmTDyqQIiIiOKB\nGV2ifmTEoMg7H/cFujm6fWQdXat1VyM1cnAmBuenYXJJPgrdaSgtyorq9R6LcmB1VOKVaBs+MEO3\nVrDDf3NCLPXdtLISP1k3Cy6Lhl7RiOQaMJY53792Btz+dV+9imJqymZZumxRPnCi1jevXLzfMnxg\nOqqurYDDolQ4dOmyWU+u74mj8pGcZMeONw7jjfdOatuDNQkbmJuC0YX6ay5UoJshBLo3LBgFAJg8\nOj/q8yQiIuqPGOgSUa8Rm+bEe46uymr+Y0/ddOUYLJpeFPH+VhndSSW+wKPQv14qAFw1cxi+MjXy\n942lSycPAaBfB9lhl5EZ4RzlUEJlPdW40rhOrjsrGXlZvtJixesLdB+8NdBV2CrQCzXXWbzR4fBn\nTi0bvYW68WDxZ/QkozsoLxVTx7jR7dE38ArWJOxHq6fh7hsm6raFCrDFsVlQWYhtd8+H29+wioiI\nKNEx0CXqZxZNi08AZPS/lo2Hyxm6xLInP/57WyxLqNOSHVh6iX7u6eyKgUH391i0yV69eCzWL5+A\nypJApm3J3BFYdulI074XQ/GgTDx993xMG1twwe9159JxuEUoZ55ZPhDFgzJw59Lx2ra8TF8Qm5Ph\nC6Stui8HOjqrr0nWnrPbZNy0qFS3vyNEd+sUYT1qNai2Diyja0bV0xs5apOzmrOt2rZgWVpJkqK+\nfvOzXNrfGe/pA0RERBcT5+gS9TNL549EVloSfvP6J3E9j/IRuagYkYt3PjwTdJ++GOgCwKZVky3L\nW3tq2tgCSBIwo2wAxg7LxuVTCnHPM2+b9rPK6CY5bRg7zLxGcjzFKvs+rjhP9zjFZcemVfoGSZtW\nVeLYqUYMH+gry1eDsYyUwHxgd3YyDh3z/dfIbpMwZ/wg5Gcl48HfvOffFvhs77p+In616yOcrvcF\nkilJDgDtAAJBtVVGN1RCN9UfLNtkSftMezpkWem+QLe5LbAUUIbF3Nqe+vHN02P2XkRERP0JA12i\nfqivzHcdVxw60O2rGaTiQZkxfT8xawn4ypCrrinHYy8f1G23mqP7ZZeZ6sSEUfqAeOudc3TB53Vz\ni5GVloT5Ewdr29ZcPRZHTzVq2VjxOyEGuqVDs/H1BaPw6Iv7AQDJwnrK6mut5uiGinTLhufgunkj\nMHFUPjY/vQdAz6/17PRASXiS04Z//+ZU3bZgigdnoKG5M+x+oebwEhERJTIGukT90MBc3zy74sHx\nbU41s3wAigdnYuOTu7Vtl/nneH7ZVZa68cvvzMVtP/mLts2qdJnMUl367s4pLju+OnOYbtv0sQMw\nfewA7fHQAenITk/C5ZWFpiV3BucH5j+nCO9tldFVs7ShuhNLkoTFM4YFfT4a4vrM+ZkurfFWOBtX\nTI7J8YmIiBIVA12ifmjM0Gx8Z9n4uHdhliQJA3ICzW0erpqplWKSufGV6wI6PlNoSQ4bHrltFgCg\nq9vj2+afQy5mSHUZXXWOrl2/vJKn09Pr56sSvy9WywEF01erJYiIiPoK/uoi6ockSULFiNx4n4Zm\n4qg8fH66CTkZrnifSp9iE+YBXzJxMK6dMyKq11eMyMWBo2djfVoJz2G34bG7LkV3R5fpufNCua9W\nuiw0wHLYZHTAc9GWe0oVmmPForM1ERER+TDQJaILdvt140KuO/pldtXMYcjLdGHu+EFRv/a2a8tx\n+lwbPj7ViNy02DUo+jIoLEhHbW2T9njlFSV4btdHmDw6H4eO1QMIZHTFQFcte75Y17MkSbhu3ggc\nPdXIsn8iIqIYYqBLRDHBUkprS+ZGl8UVOR02FLrTMKlsoC5oo+jNnzgY08cWoKk1kNFVA1y14zMg\nNG+6iPdtYjXfl4iIiAIY6BJRr5o4Kg9dHjZhovhLTrLrMrUO/9zcCaPycOOiUnxxthUHjvlKxVmf\nQERE1L8x0CWiXnX7dePifQpEmhSXA1XXlGPnW8cwakhgmSm1tNz2poSTtS0oKcqK6P02rZxsuT4y\nERERxRcDXSIi+lKpLHWjstRt+dw1c4Zjwsg8XTlzKMWDY7smMxEREcUGA10iIiI/mywzeCUiIkoA\nMQ90t2zZgv3790OSJGzcuBHjxrFskYiIiIiIiC6emAa6b7/9Nj777DNs374dR44cwcaNG7F9+/ZY\nHoKIiIiIiIgoJDn8LpGrrq7GggULAADFxcVoaGhAc3NzLA9BREREREREFFJMM7p1dXUoKyvTHufk\n5KC2thZpaWmW+2dnp8DuX96hN+Tnp/faeycqjln0OGbR45hFj2MWPY5Z9DhmRESUKHq1GZW4XqGV\nc+dae+3Y+fnpqK1t6rX3T0Qcs+hxzKLHMYsexyx6HLPo9daYMXgmIqJ4iGnpstvtRl1dnfb4zJkz\nyM/Pj+UhiIiIiIiIiEKKaaA7a9Ys7Nq1CwBw6NAhuN3uoGXLRERERERERL0hpqXLkyZNQllZGZYv\nXw5JknDPPffE8u2JiIiIiIiIwor5HN3169fH+i2JiIiIiIiIIhbT0mUiIiIiIiKieJOUcK2RiYiI\niIiIiPoRZnSJiIiIiIgooTDQJSIiIiIiooTCQJeIiIiIiIgSCgNdIiIiIiIiSigMdImIiIiIiCih\nMNAlIiIiIiKihMJAl4iIiIiIiBKKPd4n0Bu2bNmC/fv3Q5IkbNy4EePGjYv3KfUZH3/8MaqqqnDj\njTdixYoVqKmpwV133QWPx4P8/Hw89NBDcDqd2LlzJ371q19BlmUsW7YMS5cujfepx82DDz6Iffv2\nobu7G7fccgsqKio4ZiG0tbVhw4YNOHv2LDo6OlBVVYXS0lKOWQTa29tx1VVXoaqqCjNmzOCYhbBn\nzx58+9vfxqhRowAAo0ePxurVqzlmYezcuRNPP/007HY77rjjDpSUlHDMiIgEiRZHRPo7NiEpCWbP\nnj3KmjVrFEVRlMOHDyvLli2L8xn1HS0tLcqKFSuUzZs3K88995yiKIqyYcMG5Q9/+IOiKIryyCOP\nKM8//7zS0tKiLFy4UGlsbFTa2tqUxYsXK+fOnYvnqcdNdXW1snr1akVRFKW+vl6ZN28exyyMV155\nRXnyyScVRVGUEydOKAsXLuSYRejRRx9VlixZorz00kscszB2796t3H777bptHLPQ6uvrlYULFypN\nTU3K6dOnlc2bN3PMiIgEiRZHRPo7NlElXOlydXU1FixYAAAoLi5GQ0MDmpub43xWfYPT6cRTTz0F\nt9utbduzZw8uu+wyAMD8+fNRXV2N/fv3o6KiAunp6XC5XJg0aRLefffdeJ12XE2ZMgU/+9nPAAAZ\nGRloa2vjmIVx5ZVX4uabbwYA1NTUoKCggGMWgSNHjuDw4cO45JJLAPC72RMcs9Cqq6sxY8YMpKWl\nwe1249577+WYEREJEi2OiPR3bKJKuEC3rq4O2dnZ2uOcnBzU1tbG8Yz6DrvdDpfLpdvW1tamlSvk\n5uaitrYWdXV1yMnJ0fb5Mo+hzWZDSkoKAGDHjh2YO3cuxyxCy5cvx/r167Fx40aOWQQeeOABbNiw\nQXvMMQvv8OHDWLt2La6//nq89dZbHLMwTpw4gfb2dqxduxY33HADqqurOWZERIJEiyMi/R2bqBJy\njq5IUZR4n0K/EWysOIbAn/70J+zYsQPPPPMMFi5cqG3nmAX3wgsv4IMPPsD3vvc93XhwzMxefvll\nTJgwAYWFhZbPc8zMhg0bhnXr1mHRokU4fvw4Vq1aBY/Hoz3PMbN2/vx5/OIXv8CpU6ewatUqfjeJ\niEJIlH//ov0dmygSLqPrdrtRV1enPT5z5gzy8/PjeEZ9W0pKCtrb2wEAp0+fhtvtthxDsdz5y+av\nf/0rHn/8cTz11FNIT0/nmIVx8OBB1NTUAADGjBkDj8eD1NRUjlkIb7zxBl5//XUsW7YMv/3tb/HY\nY4/xOgujoKAAV155JSRJQlFREfLy8tDQ0MAxCyE3NxcTJ06E3W5HUVERUlNT+d0kIhIkYhwRye/Y\nRJVwge6sWbOwa9cuAMChQ4fgdruRlpYW57Pqu2bOnKmN12uvvYY5c+Zg/PjxOHDgABobG9HS0oJ3\n330XlZWVcT7T+GhqasKDDz6IJ554AllZWQA4ZuHs3bsXzzzzDABfCVBrayvHLIyf/vSneOmll/Di\niy9i6dKlqKqq4piFsXPnTmzbtg0AUFtbi7Nnz2LJkiUcsxBmz56N3bt3w+v14ty5c/xuEhEZJFoc\nEenv2EQlKQmYs3744Yexd+9eSJKEe+65B6WlpfE+pT7h4MGDeOCBB3Dy5EnY7XYUFBTg4YcfxoYN\nG9DR0YFBgwbhvvvug8PhwKuvvopt27ZBkiSsWLECV199dbxPPy62b9+OrVu3Yvjw4dq2+++/H5s3\nb+aYBdHe3o5NmzahpqYG7e3tWLduHcrLy3H33XdzzCKwdetWDB48GLNnz+aYhdDc3Iz169ejsbER\nXV1dWLduHcaMGcMxC+OFF17Ajh07AAC33norKioqOGZERIJEiiOi+R2biBIy0CUiIiIiIqIvr4Qr\nXSYiIiIiIqIvNwa6RERERERElFAY6BIREREREVFCYaBLRERERERECYWBLhERERERESUUBrpERERE\nRESUUBjoEhERERERUUL5/1ldCs3wwTduAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d0506278>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 69.900 *** 0.465 *** 277 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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4MGnSJHi9XjQ0NMRtz4xu6mR0Y9/OGMK0GjUumFyMRqsT9S0Ds1YvERERERGd2d5//31c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\nXPX7b1TF8oMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a2e5b9b70>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 79.900 *** 0.370 *** 279 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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V3SEiIiIion6WnZ2Nw4cPw+12Y86cOTAYDCxd1vDYRNoNdMcX4c2Py7HveBMDXSIiIiIi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\nEkIIIYQQQgjRFAp0CSGEEEIIIYRoyv8BI4c24sBsTbwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d0506358>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 89.900 *** 0.139 *** 279 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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QzrxMRERERKRlU6ZMwS9+8QuMHz8eLS0tqKurg8WiVmCcvqXL8cp3WbrcnW5K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\nZJJg0WnmEy9Go3uMmM2aZlQRtldGAHm8csg5u+H88I3IFO9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1GD7Hy+9+Y/iY1V8q7/bo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\nVBjoEhERERERUVJhoEtERERERERJ5f8Alec+F0jg4JYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d2a32e48>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 99.900 *** 0.407 *** 280 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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g17/+NdavX4/Vq1dj5cqVsFqtquuzdFk7dBPoyn10mdElIiIiItKHf/iHf8Ce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\nHxFRIqICyoykdKMXxczo8lc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+IwL1Ppc37HV5cfx9xhpcSn4rvHTZj/96ZjsAJFQZcPuv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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d298a630>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 109.900 *** 0.001 *** 277 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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pp6ioqIAgCDhy5Ah6erRXZRms0mUl+Xhdim0uxe10SpflY6U6rnRLl5WaVLaxdFkncnDr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\nYefB0Pnbfai/bFx+CYmyrgMJKno90a/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78McdOh2qKNh3pD3NYyR+8uiuy4x0iYiI9MBA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\nWHv55ZfFW265Rdy7dy/HcxCuXLkiVlVVie3t7eLly5fFzZs3czwHYde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"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d3b9dc18>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 119.900 *** 0.000 *** 279 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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RqZTFYsGoUaPgdDrR3t6Os2fPQhAEaCTlu1LpVrosrj0bKQPa29Jl6XPokNyOtnRZ6fFy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\n3nwy5g+X4nIuok8iZFTjSaMB9Prosr8Ha5qwfO1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rIJ1W42zYJJfRHY58dV222YRXYNkt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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f5a236a1240>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n",
"\n",
" 0 129.900 *** 0.000 *** 279 sec"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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TiZKSErS2tkIME+glsnRZSTpKl33r9B5LY+myUvl2skqXlcqm+z2dToscgw7dzkxI1BMR\nERERUapdeumlGDNmDERRhNvthkajQUlJSbqHRSmQtRldADDl6JjRJSIiIiJSqX/+85949913UVlZ\niebmZmi1Wmi1yrk+li5nj6wOdHONenTZYykkICIiIiKibHHFFVfgiy++wJEjRzBo0CDs3bsXbrcb\ner18GBRL6XIs5cZScqXHeX08Xkm2li5LKQXuWVu6DAC5OSxdJiIiIiJSqz179kAURej1enR3d8Nk\nMqGtrS3dw6IUyO6Mbo4eLrcHbsEDvS6rY3oiIiIiIgry2muvYceOHViwYAEeffRRuN1uFBUVKe7P\n0uXskd2BrrG387LFLJfoJiIiIiKibDVs2DBs3rwZd955J4YOHYrS0tKEdV3uT6XLvp8nUly6HOl4\n6diUSpelj2WSuV8pcM/qQNdk9F6WbqcAiznCzkRERERElFVGjBgBq9WK4uJiTJs2DS+++CJaWlpQ\nWloquz8zutkjqwNdXU+5siDE8h0LERERERFlA6vVCqfTiYaGBrz88svQaDSoq6tTDHSZ0c2ejG5W\nT1zV6bwvouBRx7cWRERERETU68c//jG2bt2K66+/HrfffjtKSkpwxhlnpHtYWUOQ/Jdpsjujq+0J\ndAUGukREREREarNv3z7cfvvtsNvt8Hg8OOWUU7iObhY/NylVBLoelbyYRERERETU69ixY3C5XPB4\nPNDpdBCE8LlHli7HVrosvQYuye1kly5LX8UmVZYua31zdBnoEhERERGpzYEDB5CXlweDwQCdTodj\nx45FDHYpO2R1RlfrK132sBkVEREREZHaNDQ0oLOzE5dffjk6Ojrw8ssvs+tyFj83qawOdPVaNqMi\nIiIiIlKrQYMGoaWlBc8//zx0Oh00Gg3a2tpU13XZ0POzLktKl52Sba1qXEeXXZeJiIiIiNSrpKQE\ner0egiDA6XRCFEWMGDFCcX9mdLNHVge6WmZ0iYiIiIhUq6mpCcXFxVi1ahX+8pe/4LXXXgvbdZkZ\nXWZ0+wU2oyIiIiIiUq+amhqUl5dj9uzZOHLkCPLz8yEIAnS6SKFYZOwClHqxtBHL8kCXywsRERER\nEanV8OHD4XQ68dlnn2Hw4MGw2+1hg1yWLmcPVQS6gsDvW4iIiIiI1Oayyy7DD37wA3R1dUEQBDz8\n8MNh94+ldDmWcmMpli7HX7rsex7SzK5S6XKWr6PLObpERERERGq1Zs0anHzyyXC5XDCbzbjxxhvT\nPSRKkazO6LIZFRERERGRel111VW46KKL8KMf/QgXXXQR3G532P1Zupw9sjrQ5fJCRERERETqZrVa\nkZubi08//RT/+Mc/wu6braXLvvLfhjCly7HwjUE6bmk5MUuXk6y36zLn6BIRERERqdGYMWMwceJE\n1NTUYN26dekeDqVIdmd0fV2XmdElIiIiIlKtTz/9FBaLJeJ+LF3OHlEFuna7Hd///vdx4403YvLk\nyViwYAEEQUBZWRkWLVoEo9GIlStXYvny5dBqtbjyyisxZ86cZI89IjajIiIiIiJSr507d2LhwoVo\namqCxWLBc889h2nTpqGwsFB2/0SWLiuV8rJ0ue+ly9IOz+0KgXtUge7TTz+NAQMGAAAef/xxzJ07\nFzNnzsTixYtRVVWFWbNmYcmSJaiqqoLBYMDs2bMxffp0xTdQqjDQJSIiIiJSrzFjxsBqtSInJwdm\nsxkzZ84MG6Mwo5s9Iga6Bw8exIEDB3DRRRcBADZt2oT7778fADB16lQsW7YMI0aMwNixY/3lABMm\nTEB1dTWmTZuWvJFHIcfojf877a4IexIRERERUbZZvHgxtFotJk2ahKFDh+Kdd97Bb37zG8X9mdGN\nbQz9OqP74IMP4r777sNbb70FAOju7obRaAQAlJSUwGq1orGxEcXFxf5jiouLYbVaIz00iorM0Osj\nXYb4jT99IACgtrkbZWWRa/LVhNdDGa+NMl4bZbw2ynhtlPHaEBEl14cffggAaG9vx5o1a9DU1IQ1\na9bg4osvTuk4hMi7UIKFDXTfeustjB8/HkOHDpW9X1SInpW2B2tp6Ypqv3iUlVnQabNjQL4RdU2d\nsFptSTtXf1NWZuH1UMBro4zXRhmvjTJeG2VquTYM5okonYYOHYovv/wSQ4YMgU6nQ25uLk4++WTF\n/Vm6nD3CBrpr167FsWPHsHbtWtTV1cFoNMJsNsNut8NkMqG+vh7l5eUoLy9HY2Oj/7iGhgaMHz8+\n6YOPhkGnhZvLCxERERERqdKoUaPw8ssv44knnsA777wTdt9YSpel2+VqVJWyuHIluskuXfZpYumy\n12OPPea//cQTT2Dw4MHYunUrVq1ahcsvvxyrV6/GlClTMG7cONx7771ob2+HTqdDdXU17rnnnnAP\nnTJ6nRZdDne6h0FERERERClWWFiI/fv347LLLoNer0dHRwfKysrSPSxKgZjX0b3llltw1113YcWK\nFaisrMSsWbNgMBgwf/58zJs3DxqNBjfddFNU61Slgl6ngdvNjC4RERERkdqMHDkSb7/9Nr797W+j\ntrYWLpcL+fn5ivuzdDl7RB3o3nLLLf7bL7zwQsj9M2bMwIwZMxIzqgTS67RwexjoEhERERGpTX5+\nPiorK2Gz2ZCTkwOj0Qin0+lvrhuMpcuxjaHfli5nA71OC7dbHd9aEBERERFRr46ODphMJhw6dAiC\nIGDAgAGor69XbLbLjG72UEGgq4FHFOHxiNBq+/7tBRERERER9Q/r1q1DbW0tNm/ejA8++ADz589H\neXm54v7M6MY2BmZ000iv0wIA3IIHRm3y1uwlIiIiIqLMYjKZYDab8fOf/xwulws6nQ719fUYNmxY\nuoeWFTJ5fWAVBboijIYIOxMRERERUdbIy8uD3W6HTqeD0+mERqOBy+VS3J+ly9lDBYGuNzXPtXSJ\niIiIiNSlrq4OQ4cORXd3N1wuFzQaDbRareL+LF2ObQzBj++TCaXLyq9ylpCWLhMRERERkXoUFRWh\ntrYWubm5AABRFFW5jq6AzC4zDkdAfONXQUa3J9D1qCNFT0REREREXsOGDcOGDRtQV1eHxsZGaLVa\nrqObxc9NSgWBbk/pspsZXSIiIiIiNXE6nTCZTCgpKYFOp0NtbW3Y/bO1dNk3ltZ+WLos5duXXZfB\n0mUiIiIiIrXav38/nE4ndu/eDbfbDUEQIAgCdDquxpLtsj7QNei9ga6LGV0iIiIiIlWpqKhAe3s7\nVq5ciaVLl2Lx4sVhg1yWLmePrA90c4zeN7LD1V+nXxMRERERUTxMJhNyc3Px05/+FHv27EF+fn7Y\njG62lS4Hr64arnTZN95oct0sXc4AOYaeQNfJQJeIiIiISE2GDh2KzZs3Iz8/H3q9Hjk5OczoZvFz\nk8r+QLcno2tnRpeIiIiISFUMBgO0Wi0aGhpQWFgIuz183pAZ3ezJ6Gb9OromZnSJiIiIiFRp4MCB\nmDRpEvLy8vDoo4+isrIy3UOiFFFPRpeBLhERERGRqpSWluJf//oXBEHA7Nmz8d3vfjfs/ixdzh5Z\nH+j6M7osXSYiIiIiUpUNGzaguLgYp512Gu644w7cc889YffP1tJl3/oz7QkuXZaWRusUboc7HmDp\nctxyjN5YnqXLRERERETqsnv3bjgcDjgcDixcuBDHjx+HIDAuUIOsz+jmm73fM7R3OdM8EiIiIiIi\nSqWuri7Y7Xbk5eWhpqYGHR0d7Lqcxc9NKusD3cI8IwCgtcOR5pEQEREREVEqTZ8+HYcPH4bNZoPL\n5YJGo4HT6YTRaJTdP12ly5EeS4qly1xHFwBgNOiQZ9KjtYMZXSIiIiIiNbnmmmvw0ksvYfv27RAE\nAQMHDkR9fT2GDh0quz8zutkj6wNdACjMz0GLjRldIiIiIiI1ueGGG2Cz2bBjxw5UVVXh3nvvRUVF\nheL+zOgyo9uvFOYbcaKxE06XAKMhmpeOiIiIiIj6u5qaGlgsFsydO9dfutzd3a1YuhwLaSDLCCPz\nqCTQzQEAtHY6UV6Ym+bREBERERFRKrhcLlitVgwZMgRutxsA0NzcjAEDBsjuz9Ll7KGOQNfSE+ja\nHAx0iYiIiIhUYtCgQWhqaoIoitBqtRg5cmTY/WMpXZaW7crlh1m6HPl4gOvo9onJ6L3UThfXzCIi\nIiIiUovS0lJUVlbi+eefR2NjIxobG1FWVpbuYVEKqCKjq9N643m3Rx1peiIiIiIiAsaOHYtVq1bh\nsssug9VqRUFBAfLz8xX3Z+ly9lBFoKvVetPzHga6RERERESqMX36dKxevRpff/01LBYLurq6EraO\nLkuXWbqcdrqeQFdgoEtEREREpBoVFRUwmUx49dVX4XA4YDAYUF9fn+5hUQqoIqOr0/UEuoInwp5E\nRERERJQt/vCHP0AQBLzzzjswGo3o7OwMu44uS5ezhzoCXQ0zukREREREatPc3Izq6mps3LgRoijC\nbDbjyy+/xAUXXCC7fyJLl50KY3LJbGPpcuJLl9UR6OoY6BIRERERqc2TTz6Ja6+9Fvfddx9+97vf\n4aSTTlIMcgFmdLOJKgJdNqMiIiIiIlKft956C+PHj8fQoUOj2p8ZXWZ0+xV9z/JCzOgSEREREanH\n2rVrcezYMaxduxZ1dXWoq6vDZ599Fjarq1axBLo+0g5IcscJEe5PJlUEuv6uy2xGRURERESkGo89\n9pj/9hNPPIHBgwczyFUJVSwv5CtdFlRSj05ERERERKRm6sjo+pcXYqBLRERERKRGt9xyS1zHCZF3\nyXjZ8BxipYqMro5zdImIiIiIiFRDJYEulxciIiIiIiJSi4ily93d3bj77rvR1NQEh8OBG2+8EaNH\nj8aCBQsgCALKysqwaNEiGI1GrFy5EsuXL4dWq8WVV16JOXPmpOI5RNQb6LIZFRERERERUbaLGOh+\n/PHHGDNmDH7961/jxIkT+OUvf4kJEyZg7ty5mDlzJhYvXoyqqirMmjULS5YsQVVVFQwGA2bPno3p\n06ejsLAwFc8jLK6jS0REREREpB4RS5cvvfRS/PrXvwYA1NbWoqKiAps2bcLFF18MAJg6dSo2btyI\nbdu2YezYsbBYLDCZTJgwYQKqq6uTO/oo9S4vxECXiIiIiIgo20Xddfnqq69GXV0dnnnmGVxzzTUw\nGo0AgJKSElitVjQ2NqK4uNi/f3FxMaxWa9jHLCoyQ69P3tLBZWUWAEB3T4BryNH7t6kdr4MyXhtl\nvDbKeG2U8doo47UhIiJKjqgD3ddffx179uzBnXfeCVGyHq2osDat0naplpauaE8fs7IyC6xWGwCg\nra0bANDZ6fRvUzPptaFAvDbKeG2U8doo47VRppZrw2CeiIjSIWLp8s6dO1FbWwsAOP300yEIAvLy\n8mC32wEA9fX1KC8vR3l5ORobG/3HNTQ0oLy8PEnDjo3eX7rMZlRERERERETZLmKg++WXX2LZsmUA\ngMbGRnR1deGCCy7AqlWrAACrV6/GlClTMG7cOOzYsQPt7e3o7OxEdXU1Jk6cmNzRR8lg8JZHO90M\ndImIiIiIiLJdxNLlq6++Gr///e8xd+5c2O12/OEPf8CYMWNw1113YcWKFaisrMSsWbNgMBgwf/58\nzJs3DxqNBjfddBMslswoVzLqvfG80yWkeSRERNlj0WtbYTLqcMuPzkr3UIiIiIgCRAx0TSYTHnnk\nkZDtL7zwQsi2GTNmYMaMGYkZWQLlMKNLRJRwe462pHsIRERERLIili5nA61WA71Oy4wuERERERGR\nCqgi0AWAHIMWDhczukRERERERNlONYGu0aBjRpeIiIiIiEgF1BPo6rVwuBnoEhERERERZTv1BLoG\nHZwsXSYiIiIiIsp6qgl0c4062J1uOFi+TERERERElNVUE+ieXDkAoggcONGW7qEQERERERFREqkm\n0B19UiEAYO83XPeRiCiRRFFM9xCIiIgowwmS/1JBNYHuiEEFAIDjDZ1pHgkRUf8nDW49DHSJiIgo\nw6gm0DUadAAAt4cNqYiI+koa2woCA10iIiI1SnWWNhaqCXT1Og0AfiAjIkoEaRZX8PDfVSIiIsos\nqgl0tRpfoMuMLhFRX4kMdImIiCiD6dM9gFTRaDTQ6zT8QEZElADSWSAe/rtKRETU72VbOlA1GV0A\n0Gm1cPMDGRFRn7F0mYiIiDKZqgJdvU7D0mUiogQILF3mv6tERESUWVQV6Oq0LF0mIkoE6T+lLF0m\nIiKiTKOuQFenhZsZXSKiPmNvqasPAAAgAElEQVTpMhEREWUy1TSjApjRJSJKFNHDQJeIiChaTLWl\nnqoyunqdFm6uo0tE1GfS2JbrkxMREVGmUVWgq2MzKiKihJA2o/p0ew3n6RIREVFGUVXpsp7LCxER\nJYQ0sP24+gQqS/Jw8TlD0jgiIiKi5HBFsV1pn2jZ+3i8ErlxdUY4JtL9SuJ9DrEcF8u+KszoMtAl\nIuoraTMqAPim3pamkRARERGFUlWgq9eydJmIKBGC4lx0OdzpGQgRERGRDFUFujqdFiK45iMRUV8F\nZ3S7gwLdb+ptsDsZ/BIREVF6qCzQ1QAAHC4hzSMhIurfgr8w7LL3BrUnGjux8IXNWPTa1lQPi4iI\niAiAygLdQcV5AICjdZxLRkTUF8Gly3Zn7xeI9c1dAIDDtfy3loiIiNJDVYHuyZUFALzZBiIiil9w\n6TIRERFRJlFVoFtgNgAAbF3ONI+EiKh/Y5xLREREmUxVgW6+2QgA6Oju60pXRETqFpzR1WjSNBAi\nIiIiGeoKdHO9GV0GukREfcPu9URERJTJVBno2roY6BIR9UVw6bJGktJlWTMRERGlm6oCXYNeC51W\nAyeXFyIi6hM2oyIiIqJMpqpAFwD0ei1cgifdwyAi6teCS5c5RZeIiIgyieoCXYNOC7fATAQRUV+I\nIbXL6RkHERERkRz1Bbp6LVxuli4TUfZyuT1wOJP771zw14WMc4mIiCiTqC7Q1es0zOgSUVa786kN\nuGHxJ0k9R+i/ogx1iYiIKHOoLtA16HVwuTlHl4iyV3sqOsuH/b6QXyYSERFReqku0NXrNGxGRUSq\n4E7iv3ViUDCrYUKXiIiIMog+mp0eeughbNmyBW63G9dddx3Gjh2LBQsWQBAElJWVYdGiRTAajVi5\nciWWL18OrVaLK6+8EnPmzEn2+GNm0GvhZkaXiFTA7hSQn5uk7zPZi4qIiIgyWMRA9/PPP8f+/fux\nYsUKtLS04IorrsDkyZMxd+5czJw5E4sXL0ZVVRVmzZqFJUuWoKqqCgaDAbNnz8b06dNRWFiYiucR\nNYNOC8EjwiOK0DIFQURZzO5wIz/XkPLzcoldIiIiSreIX/VPmjQJf/vb3wAABQUF6O7uxqZNm3Dx\nxRcDAKZOnYqNGzdi27ZtGDt2LCwWC0wmEyZMmIDq6urkjj4Oer33KTOrS0TZzp7EzsshsSy/NyQi\nIqIMEjGjq9PpYDabAQBVVVW48MILsX79ehiNRgBASUkJrFYrGhsbUVxc7D+uuLgYVqs17GMXFZmh\n1+v6Mv6wysosIdvycr3jHlBoRr7ZmLRzZzq5a0NevDbKeG2UZeK1MZlzkjaugsaugN8NBp3/XAW1\ntoD7MvHaZApeGyIiouSIao4uAHz44YeoqqrCsmXLcMkll/i3iwo1akrbpVpauiLuE6+yMgusVlvI\ndtHjzeTW1rejMD8naefPZErXhnhtwuG1UZap16auoR2l+ckpXW5rC/z32+32+K9BW1t3wH2ZeG0y\nQaa+bxKNwTwREaVDVF1K1q1bh2eeeQZLly6FxWKB2WyG3W4HANTX16O8vBzl5eVobGz0H9PQ0IDy\n8vLkjLoPcnO8sX23w53mkRARJZfbk7zJsuG+y/Qk8bxERERE0YgY6NpsNjz00EN49tln/Y2lLrjg\nAqxatQoAsHr1akyZMgXjxo3Djh070N7ejs7OTlRXV2PixInJHX0cfI1ZbKlYZ5KIKMU80gg0ifFm\n8ENLp+hGU9FDRERElEwRS5fff/99tLS04LbbbvNve+CBB3DvvfdixYoVqKysxKxZs2AwGDB//nzM\nmzcPGo0GN910EyyWzCtXsvQEuh3dDHSJKPsIQm+QGbzWbUIFLy8kiXQ9DHSJiIgozSIGuldddRWu\nuuqqkO0vvPBCyLYZM2ZgxowZiRlZkuSbGegSUfZyC5KO8kmNc5VzuoxziYiIKN2imqObTQp6Oi23\ndTjSPBIiosQTPNKMbhKFy+hyji4RERGlmeoC3eICEwCgqd2e5pEQESWeIMnopjKzGjBHN3WnJSIi\nIpKlukC3ZEBPoNvGQJeIso9bMkf3rfWH0GVPTof5cMEsM7pERESUbqoLdHMMOhRZcnC8sZOdQYko\n6wie3ozuCWsnlvx7R1LOE/zPpzS25b+tRERElG6qC3QB4OTKArR1ONHcznm6RJRdpBldANhztCVJ\nZwo8jzS4ZUKXiIiI0k2VgW55US4AoMXGQJeIskuqlvYJPo30Vy4vREREROmmykA3n2vpElGWSleM\nKc3oikzpEhERUZqpMtDNMzHQJaLslKr5scFnkZ6WcS4RERGlmyoDXV9Gt9POQJeIKB7BAbXIZlRE\nRESUQVQd6DKjS0TZJm2ly5A2o2KgS0REROmlykA3z5fRZaBLRJQQLF0mIiKiTKLKQJcZXSLKVmLI\n7NkknSe46zKbUREREVEGUWWgm2fSA2CgS0TZJ1VVw8EBdWBGl4EuERERpZcqA129TguTUYdOuzvd\nQyEi6p/CZXQZ5xIREVGaqTLQBbzly8zoElG2SV1GV/n3VJVPExERESlRbaCbl2tgM6o0u2HxJ3jo\n1ep0D4Moq6QsyGRGl4iIiDKYagPd/FwDnG4PnC4h3UNRJZfbA4dTwNfftKZ7KETZJQPm6BIRERGl\nm6oDXYANqdLF1uVM9xCIslLKSpdDMrq9t9mMioiIiNJNtYGur/MyG1KlR1uncqAr8kMyUdzSNT82\n4Lz8EyYiIqI006d7AOliMRsBAO3MLKZFe1Cgu2l3PWqbOuERgfc2HsGTt12I3BzVvj2J4pYJGV3G\nuURERJRuqo0kiiw5AICWdkeaR6JOgifwo/CzK3cF/H7C2olRQwakckhZ4WBNGyqKzP7SfKJUERnp\nEhERUQZRbelysS/QtdnTPBJ1kn4o3rrfGnK/QZ+at+bBmja8vHovBI8nJedLpuZ2O/7y0hb8cdkX\n6R4KpVGqSv/DNaPiHF0iIiJKN/UGugUmAIC1lYFuOkg/Bz/x5o6Q+3VaTUrG8ZeXtuDj6hPYeag5\nJedLtP9sOoqvDjQC6G2s1mJjlQKlQJjlhYiIiIjSTbWlyxXFuTAatDhS157uoZCM4NLmZJB+MO9v\nGaj65i68+clBfLnXmw1fdvc0aDWp+XKAMlvK5uiG+b2f/TkRERFRFlJtoKvTalFZkocjdTbYupz+\n5lSUGpECS3eSS4lf/e8+bNpT7//doOtfxQ1L392NQzW9X9K4BQ9cQv8vv6a+S1eMGThFl5EuERER\npVf/+nSfYPlmb8Oe3zy+Hp4UZBApeoKQ3Nfjwy3HYevqv2sodzsCl8Vq73TC6RLSNBrKKKmaoysG\nz9FlMyoiIiLKHOoOdE29nWm7naldT9fjEdFl71+BlsvtwYHjbQl5rEgZ3VSULku53P0rGxpcpix4\nRGZ0CUDqYsyQ0mVR6TajXiIiIko9VQe6ZlNv5XZwhizZXvnvPtz82Do0tHSl9Lx98dIHX+Ov/9iC\n6n2hXZJjFuGzb6q7IDt7At3G1m7sPpL5jam0WplA19V7zQ7X9v+55+1dzpT/XWaDlMWVwc2oJBsC\nbjPOJSIiojRQdaCrkWTFuh2pLfv8eOsJAMCROlvY/dyCBx3dLrTYHGhs607F0BRt2FkHAHjyXzv6\nnI2O9OE32aXLwXwZ3Xl/Xo2HX/8K7Z3OlJ4/ViGBruDxB+sA8KflX8LWldnPIZLbHl+PO576LN3D\n6HdSNT82+CwehcplxrlERESUDqoOdE8bWui/fTRCwJksRoMu7P3PvL0Lt/5tHeYv2YC/vLQlRaOK\n7N/rDvfp+Egfxn1zplNVUuwr+/V9WM/0Uubg0mW3IMLpDvyypq3DidWbj2Hl+r69VungK21nRjcO\naetGpXSboS4RERGlnqoD3YmjyzF1wmAAwLL39wBAxMxpt8ONl1btRXN7YtbfjdQES1om3JZBWcaj\ndTb8aflm7DvWGtfxETO6HhGfbqvBdQ+vTUkpcXBgm+kr9WiD/nIFjwh30HNwuAW8vmY/3uqHga40\no29P8fz5/i5lYWWYZlQBt1M1HiIiIiIJVQe6AJAjyaj+69NDuPOpz7Dg6Y3wiCKa2+3YfrAJHlFE\nR7cLoiji4de/wtqtJ/DYG9vhEcU+N1pxxNgpN9VzV5UcONGGw7U2PPmvHXEdH+myuT0evPvZEQDA\nhh11ivu1djjQHmOJrsMZes1dQdnQVDfDilXw28AdVLoMBD7P/pYZdUsaa2V6GXmmyYh1dKW3mdEl\nIiKiNFDtOro+3588HGu2HIfL3RtYAcDOQ0147I3tAfteMmmov8nPcWsHbn9iPYaW5+OOq8+O+/y+\nYORonQ0WswHFBaaw+9udAvJMkb+fEEUxYA5yssR7Ct+H39wcvWwQ1tbhRGObPew53IIHv31yA4oL\ncvDwjd+K+ty/XbI+ZFtwRjfTA123EDre4DF32Xuva2uHA7k5/efPXfpc3Cmer93/pWp5oeDf5RtQ\nMc4lIiKidFB9Rtds0uMP/zsxZHtwkAsAqzcfC/jd1uXC7iMtMWcs/rF6r//2v9cdgt3pxv0vbsbv\nnvs84rHRZOa6HW5c9/BavLMh+SWrwU2RouW7YmWF8oH9io8O+G8rBboHT3iXOmpud8R0brnGY8FL\n82R6oBv8nhMET8i2TknDsEhZUTEB1QmJJA3kg4N6Ci9dL2PgeVm6TEREROml+kAXACpL8zB+VGnc\nxx+qaUeX3R11A6OPqk/4b9u6XDje0AkgugZI9ii6Qx+qbYdbEGUbRtU2dWLb/sDlgbrsbrR1RA4W\nDfrQt4su3kC351OxKUIzLgCwtnRj+8HGkDLvRDaMCg4OIs2dTrfgbL3bI4Y8B4dkuaFI1+q+v3+B\nB1/dmrDx9VVgoJvZr0WmSdnqQiFzdBVuZ/jfEhEREWUnBrrwBg23zj4r7uP/8vIW3PzYp7j+kbX4\nbGdt2H09MumW9Tt6j3nj4wOo71lbVy7D1hVFRjdcZu73Szfh3mc+Cwgk/rjsC9z+5IaIwV2OTFAa\n3P03Wr4zGY2RA919x9vw2Bvb8crqfQHbg4f7xZ56/GP13rgyk6IoBsx/zpS50EqCr/pb6w6FvLde\nX7PffztSsFjT2Bl3Y7FkkDajYkY3Rumao6tUupya4RAREREFYKArUVFsBgAMKcuP63hRBJ5/d4/s\nfTWNndh+sAmv/Xd/yH2fbqvx3/7Ppm/w8GtfAZAvn23rdMLaGmE9XclhL33wNT7eegI1jZ040djp\n326XNCpq6ukg3RDhcXMMoW+XeEuXfWPM0UcOdH32HPV2X/58Vx3qmrtCAtpn3t6Fj6pPoNOu/GWA\nUhDs8QQGV5leuhzsm/oO7Dyk3J06XOCeidlrF0uX45aqdXSDTxPYjEq+AzMRERFRqvSf7jQpcOfV\n47F1fyMuGDMQNz36qX/79IlD8d8vj4U5MlBrhwPrttfi5MoCnDm8GABw7/Oboj7eF3jKfcB/+q2d\nAIBn77gIW/db8ep/92HhL89FYX6Ofx9pkLb2q5qQxwC883jzcw0B2443dGBgT7AfreDS5RUf7Ufp\ngFxcfM6QsMf5P/zGECd7RO8XBs+9sxsAcOuP5LPwTpcABD03H6USXu8c1d7fhQwvl5WLTW3drtCN\nPcIF7t1hlu/xeES8tmY/zjujAmVllpjG2BeBGd3Mfi0yTpoyuoCkCR5fMiIiIkqzqALdffv24cYb\nb8QvfvEL/PSnP0VtbS0WLFgAQRBQVlaGRYsWwWg0YuXKlVi+fDm0Wi2uvPJKzJkzJ9njT6jiApM/\nQHv6t9+B2+NBQ0s3hlXkIy9Xj7dk5rwWWXLQYguc3/rbJzf4bz9350XQ62JPnO871orBZXmK9x88\n0YZn3t4FwFt6XFaYi+9OHIJPttZg+KDIAYlcU6vj1g5MHF2ueIxSrLT8g68x+cyBGFKWh1VfeL8Q\niBjohtyIrMXmwD8/7m1SJVcGDgRmq6O9zyOKAY+XiVnOQKHjE8JkPpUC9+0HG7Fum3K5/dF6G9Zs\nOY41W47jnfHhX9NEYjOq+Mm9dVPVhV0Uvc3jpEPI+D8lIiIiykoRI7Curi786U9/wuTJk/3bHn/8\nccydOxevvvoqTjrpJFRVVaGrqwtLlizBiy++iJdffhnLly9Ha2vmzPmLVY5RhzyTASMGFUCn1WLs\nySX++yaNLse0CYPxvXOH4o/XTMI1l44GAAyRCUy//LoB7208EvP5H3ilOmwm66HXehsH2bpcOFTT\njudW7sbeY63+YDOcjm4X3v/8KK5/eK1/W42ktFmOXAlibVMXPvmqBg+8Uo3DtbaI5+19rJ6fUR/h\ntf1gk+x4pLfDBbpK6xaLYuC8wm6HGwdr2sKOpaPblbYgTC7GD+4cLeVWKF1+7I3t2LLPKnsfkL7M\nNgPdvgh9zZLyKsq8CX1fFgXcxdJlIiIiSoOIGV2j0YilS5di6dKl/m2bNm3C/fffDwCYOnUqli1b\nhhEjRmDs2LGwWLzZxAkTJqC6uhrTpk1L0tBT66QKC749dhDGjSrFOaeVBdw35axKnH/GQHy6rQav\n/DewYZKvzDYeToWgLBEe/ee2kHJWaZdeOZE+rz6y4ivJvuEzSL7A9KyRJagOE2hFOx7pc7GHK8VV\nmqMrigHzCp/41w4AwN0/mYBThxaG7O8WPLj1b+tQWZqHP//qvFiH3mdyz8MdprNyvAGr3dV7LVOZ\n5XYHrKPLQDcWcm9x0ZdqTeR5wt7H5YWIiIgovSIGunq9Hnp94G7d3d0wGo0AgJKSElitVjQ2NqK4\nuNi/T3FxMazW8AFMUZEZ+hiaEcUq0XMK7/rFuWHvHxhDRjMaX+yNLwCMhtycTa1OE/aaxVL6WFBo\nhsmo/PbKy/POKR5UbkF5sRkNzV1RP7ZPvqV3Dd4Bhb1zi40mo+LzcCh86s7JMaC4OLQJWbtDQFmZ\nBe2dTiyp+go/vmQ0hg8q8C/HVNPYCRc00Gg0GFSqXGoebOfBRgytsGCAZG41AGw/YMXhmnb84Nsn\nwyOKimXvWm3odneYQDTXrHxNpKT71DR24ANJdYDDJaRsnm5+Y+/7Ideck9L5wfHKlDEW1IT+O1RS\nYpFdHqwvfH/DgefJh9GgQ46xd468KGbOtclEvDZERETJ0edmVEodNaPptNnSEntwE62yMgus1sQG\nnpGcPrgAV0wZgS/2NAR0OI7Xm5L5qKnQ1e0Ke83cggc5Bp1i+a/U0WMtKC4wKd5v6wkUbTY7bvnh\nWLyyei++/ia2Uve2tt4u0UePtfhv11ttsFrlO2c3Ncm/Ll1dTlgbQ5/7U1Xb8FTVNpwxvAi7j7Rg\nz+FmDCnLx5iTe7/Uue6BNQCAZXeHVi+43AIMQV/mNLR243fPbESRJQdXX3wKiiw5KMw3wuMR8ftn\nPwcA7D3chHXba/HITd9CkSU0oHC7Q18DR5iS7ba27qj+Hurr2/2dtG9d/EnAY9odbnS0R+j4nSBN\nzb2vU0trV8r/lmOVjn9vlLTJvEZWa3vI+7CvOmTW3m6w2pBj0MHu6G2MJopixlybTJNJ75tkYjBP\nRETpEFegazabYbfbYTKZUF9fj/LycpSXl6OxsdG/T0NDA8aPH5+wgfYHWq0GP/jWCMw8/yT8d/Mx\nvLH2YNTHnjTQgrLCXHxrzED8rWp7wH2jhgzA5DMH4uVVexM95ACRutuKogiDXhtVoBtunqzvsQBv\n0+XBpXm4ftYY3Pb4+qjHCgSW0j4muWbh5qqG+2Im3Hczu494A+kWmwMtNgd2HGpS3rnHexuP4M1P\nDmHO1JF44+ODuPPq8Th9eDFae5qXtdgc/i7awdZt9zaIOlLbjiJLWcj9sZaDBmfw3YInpGO2dz8P\ntFpvQBQcOHc73ZDvZR2ftg4H1n5Vg++dOzQg++8RRRw43js/ml2XYyP3Hk9G1bnsMka+ufcKa+oS\nERERpUpctWwXXHABVq1aBQBYvXo1pkyZgnHjxmHHjh1ob29HZ2cnqqurMXHixIQOtr/Q67Q4ZUih\nbCAh538mn4Q//mISbpw1BuNGleJH3zk54H6TUYc8U/JXggrXtRfwfmDV66J7TpHWof1iTz2A3nLo\naK+VlHTuprSRVrj5qErD8ohiwtb7/Kbehv9sOoo3PzkEAHjjY+8XHr4y4FjOo1G4LrGOVbr0kK3L\niRse+cQ/LqlwQaXdkdg548+/twdvrz+M9z//JmD7qk3f4IMverdFel9mqoM1bfi4+ni6hwEgSfOr\nZR5SrhlVytb1JSIiIpKIGD3t3LkTDz74IE6cOAG9Xo9Vq1bh4Ycfxt13340VK1agsrISs2bNgsFg\nwPz58zFv3jxoNBrcdNNN/sZUajRqyAA89dvv4P3Pj+Lt9aHLEoXznfGD8eGW42jrcALwBm46yZzM\nyWdWYNPuBsXGSvEKN8cT8H5g9WbenBEfS1Do8gt417L1d2juieOMccwfVBpvuA/1yhndxAUDC1/Y\nLLvdqNfijbUHUFEU/VrFosyYnC4B1lZ7TGP6YNM3OGXIAJx9ShmON3RA8IgBwaRP2PV2HW5Yeubm\nJ0JtTxl5iy3wuQRny/trM6q/vLQFADDp9IqQNauTSb4ZVRLOE+bcYqQdiYiIiJIsYqA7ZswYvPzy\nyyHbX3jhhZBtM2bMwIwZMxIzsixg0Gtx+bdH4Jt6G7bub1TcL7jHU36uAY/e/G089Go1vv6mFYJH\nhE6SSS0uMGHpgov83YqX/Fu+/DVWkQIKjwjkGHT4v3nn4g9//yLsvuGyqtIg2PesDHqd7JrE8Yw3\nXLCm9IHfE6F0ORonGjvRKcmcBgu3jI8SuRLwP730ZcyPA3iD3bNPKUOHXbkrdbj3QLfDDVjiC3Qb\n27rx9rrDuOLCk/1zt33XW4PAP4DgoLC/l75Gqm5INLkMaovNDrNJft563OeReWHe+ewwrpp2SsCL\nlugv5IiIiIiikdg2nCRr5vknRcjoyJen+sp5BY8HekkJq0GnhUajwTmnlaMgL3EZtkiBrnfJIKDA\nHPmc4T7cS5O90k7OA4ujz3QCysF0uGyy8vJCsZcDB7vv+U144JXqPj1GMLmlkk5Y42t01tzuzZy2\nyjQR8gn3BYUrzPJFkazdWoMNO+uwSLL+s3+edtDb3xxUpt/fA6VElcRHf8LQTfdF+GIqUXxrePfv\nV4yIiIiyAQPdFBg1eADu+1/l+cqTz6yQ3a7rWVpGEER/J1wgcN6mb3maHKMO/+/a88OeJ5LIzai8\ngWk083TDzauUBi7SIEdpKR0lSk2nwgbZSqXLHhGZWCDbHaGpVyx8mVxbl3LW2R3uS4I+ZCZ9pen1\nLb0dgX2PFhzoBr8Ppa/ZicZOtHdFLp3PJEpfHrgFD5a9twcHTrTJ3h+vjAgypXN0M2JAREREpDYM\ndFOkMD80C2oy6vD3u6ZiUIn8+qu9GV0xoFmTU9L1uLwwF7+ZfRb+PO88VBSbMWJQQdxjDBeciqII\nl9sDrUY+IP3euUMDflecPyuKAeeRBjkmY2zLn7gVMozhspLhS5cz7xN5pO7VsdD2XOxwmftw164v\nc2XlOnX3Xu7ASNcZ9Lr69hM8Htz3/CbcseSzuMeRDr4KA1EU0dTWOx956/5GrN9Ri7++vCWh50vV\n+zjcaTwsXSYiIqI0Y6CbIkprWGqC01kSQ8u9c+qGlef7s7sA4HQFBgLjRpWiZEDvmrUzzhsW1ZhG\nDRkQ8Hu4jO7Lq/cBAI43dsoGupagcma5gGnNluP41YMf45i1w79NOj/zqmmjcOrQwqjGDihnH8PP\n0VVuRpWJn8cTGbT4viuJN5jty1xTacC+9qsT3hs9zy04U+wKCop993f3dH3ub82pfNftnQ1HcOfT\nn+HLrxsAKH9R01fxvGU67a6YA9Ko987AvysiIiLKfgx0Uyg4AI30+e9/Jp+Ea2aOxtzppwZkdF3u\n8Fm+K6eOwlkjSyKOR/SImHha7xqt4dbHXbvVG5w4nIK/jHpQiRk3zhqD6y47E+acwHmVwfNkdx1p\nxiv/9QbLm3bV+7dL4/ziAhPuuDpw7eW75p6NR276Fi4aXxmy7JJSwBauxFbpvkzN6MYbXMpl9n1f\nqoSbwxzufH1Z5kc61/ilD7zrQfu+vAl+3wVndH0BmN2h3ERLiUcUsW5bDdo601fu7PsCad32GgDA\n9oPertJhvuNKKVuXE7c8tg5PvrkjtgPD/L0ELi9ERERElHoMdFPoyqmjAteLjfAJ0KDXYcq4SuQG\nBZHBgYCcX8wcHXEfjyhi8pkDA7Z9dUC5O7TUU7+9EP8371xMHF2O886owOnDiwLuDw6YHnn9K//t\nDTvr/LeDP+sHr6d72rAiFFly8PMZo/E/k4cH3OfL7AWvMRxunqnvA/g5kgDftz3FzXGjEu+8WHNO\naAWBVlIKryR8t+zYxtJpd8HRk8kNLsH2NTaTe9zgjK3vNeuKI9D9Yk89XvjP13jsjW0xH5sovV8s\neJ+wvytykgLdWL+vOd7T3Czav33/eaIeTwb+YREREVHWY6CbYqWFuf7bcsuAKJF2vP2fySdF3L+w\np0lVOB5PYGMroDdzG4nJqA9Y2zd4bdiNkmA2nODS7XCl3MF8mbIzRxQHbI9mHd2SAlPA9kzN6MY7\nv3HO1FEh2zRRlC5L55OG3hf9WERRxC2PrcN9f98EoGdpIglpQ6zg1yv4OfeWLvc+xis9pfRKGlu7\n8bc3tmHXoWYAwNE6W9RjTzTf9fZdf1H0dsB+buXupJwvln9XAKDLrtycLMKJlO+SvIYZ+GdFRERE\nKhBxHV1KrEmjy/HuZ0f69BhKzati5RHFkAzq4NLQx45nTuS2nvJMAOgIs7ZsX8o3fR/QDfrA72vC\nd132/tQFdY4WE7CObjKIPZf+wPE2FFqMKB2QG/4AAA9cPxnlhaH7aTUadNldWL+jVvFYXxMxuQA7\nltLl9p5AtrGn+VKjpAkT4M32+l6B4NcrOCHvG4u0A/Wa6uP4ySWnhpz38111WPrObgwsMaO2qSvq\n8SaTW/DghLXDfw1EEadpCNUAACAASURBVPioOrovlOIS4/u4K8y6yvGeRgy4nYF/WERERJT1mNFN\nsVlTRqCs0BR5xyCjhgzA1AmDcdfcsxM2Fo8o+jvx+siVRa/frhwYSSk1krr/hc2Kx8SSwQ325V4r\nAMAY1OgrfNdl7316beBb3+PJ3IyurcuJv/5jC+557vOojvE9s9/MPgsjK3vn6mo0wLufHQ17rC+Y\nbQoKTIHYMrr1zb1Bpt3pRmObHaOHFWJYT4M1b0M172vv8cjPyfXx/RrNHN3n390DEQgJcoPf58km\nfS8JHhEPvipZPxii7PrICTt3jPt3xhvoRjlHl3EuERERpQMD3RTTajS4Yoq3qdK4kaUxHfezS07D\nacOKIu/c48ZZY/Ddc4aEzGH18XhEf7dmXxjQ7XDD4RTwfy9uxue7veXHzTZHVOebf9V4/FSSZfOV\nmja1hwZNiRTcPXr9jtowTae8P4PXApZ2XR6QF7oUVLp4RNG/9qxcV+yfTA/Navq+PBg3qhS//3nv\nuspajQYnGjvDnu+dDUcAAHc/GxpUx5LZb5c0f2pq975/KorNGDfK+55v6XD43xfBAbSoUMocvG7y\n0Tob9n7T4j1GDCwPDqbVpjbQlT4nwSMGVjWIiV02qq+kQXeLzZGQL3ykWVzGuURERJQOLF1Og3PP\nqIAlz4hRgwdE3rkPJo4ux8TR5bhk0lDsPNKMUYMH4O11h+HyiNh+oBEeERhYbMbdP5mAwnwj7n72\nc3y2sw6f9cyvfW7lbpx7egWi/ahq0GsDlh66Z+nnuFJmrqiUXGBSVmiCtTX64NiSa0DpAFNAeexx\naweGVVhC9vUFTcFLJHlE0X/feWdUoNnm8C8Dk04ej4hmyRcFwXOoLz5niL+btY9isKfRBKzBLOdg\nTXvYsUTLKekMbusJegvMRv9ayY9XbVd8XKU5usH73f+it1LgwnGV2H+8Fff/8lzF8vPgUvVE2nGo\nCa076zBlTG9jN+mXAsEVBiKSG+jGGqhKL+v8JRvwo++cHNL4LfZBSB7fI/IrVSIiIko5fvxIA61G\ngzOHFyPHIL+2bqKVFubiovGDMaQsHzf9cCwu/85IAMDFEwYD8JYcl8rM6QSAhcu+iGnuqjSQautw\nYtl7e8LuL1e6/L1zo1sHWPoYwaWpSqWqa7485j+mVLL2sDSjq9VqApZdSiePR0SnJBv40qq9EY9R\nKgfXaKKbE+1S6Or98ZbjUWd1pY/R3tUT6OYZkWMMfc8LwYFt0PvNd7dSnP3pthrUNnWFnWuq1Wjw\n1rpDOHC8LYrRR2fxP7/CI69vxaP/3IYX3t0dsOyXNKMb2kU6s0qXg30WZSO5cP8uZOI0ACIiIlIX\nBroqdO4ZA/HkbVPw3YlD/du0Gg3GBHUvBrxLjzhiyD4Fl5dGmteZiDybRhP6QMHjAIC31h3CriPe\nUletVhOQUT9wos0fqGg08S/rk2gbdtb5G0Qpuedn5wT8rhTMioiuhFepedgJawc+3VYT8XggMND1\ndVi2mA2yX+54PCIcLgF1PfN6lTK8kV4Tp1tQfO7dDjdWbjiCv/5jS1Tjl+ML3jbsqMW+Y63YeajZ\n/37ynt+DLXutWP7B19ggmdceUpotIqa/qdgH2rcDtBoNHC7BXxYez2kCpugy6CUiIqI0YKCrUmaT\nIWTbrbPPkt33wy3Ho37csii6AkvJZR99c5flyp4fu+XbGFKWH/IYwY8iV6K7smf+qfcYhATHS/69\nE4D3g75cgP6nX50n8wySb9Pu+rD3DyoJXNop+JpWFHlfE48ntPmYnLZO5TnZ0ZbcBga63oxuXq58\noCt4RDzy+le457nP0djWHVq6HGWgq5SJViJ4PFFnqLvsbsx78GO8+clB/P29PXjgleqQfZwuD5b8\newc++aoGr390IOA8UiLiXzYqGn0NLDUaDVZ8dAAPvroVG8J06FYKdV1uD3ZLvgBgmEtERETpwECX\n/PQ6Lc4aWdKnxzjntDLc/MOxUe8vF3eVDDDh73dNxYzzQkuYC/KMKMwPbBal1QA/6inH9nG4vEHM\nkbp22Q/+Wpng2JfJ9HhE/7rA0g7ZcksvpUJNhAZSwcFr8DX986/PQ4HZ4O2yHUVGt9XmVLwveCkn\nJQGBbs91NRl0MOXIZ3QPnPCWFHd2u0MCWt/LF6k6wNvJObJXP9yHj6uPY8HTG3Hj4k+8Y4gQHB6u\n885dfm+jctdqpfnPIV3Ak7iUVWuHI+4uyj5aLbD/eCsAYHOYeepKz2HDztqo9iMiIiJKJjajogDn\nn1GB7ZI1cGOl0Wgw4dTo57cqJRjDLTsUnIXTaDSYOLocSxdchF8/tBYA8Nqa/f4lbq697Aycf8bA\ngGO88Z78OUR4Ozkv+PHZGFZhwcZddRgxqEB231SIlEUNCXSD7tdptTDl6OFwCVGViq/9SnmN12gy\noN0ON95af9j/e0dP6XKOUScbKB+3BgbywV9M+ALfSJlKaQOscD78MrBC4bl3duHzXfVYuuAibD/Y\nhH9+dABXTTsFy1d9jWt/cCY+2nIcwweFNjYL5lAIdINLz5MZ9/32yQ0xHxN8WbUaDcqKcnHC2omG\nno7fsegOCrS9r1tqu14TERERMdClAOedUYHWDif++fGByDuHccmkoVi9+VjE/ULzqpEFZ/Z8gZ5O\nq8XpJxVhz9GWgHVc9x9rwxknBc4/1mg0ikG2L7AafZJ3KaeLzxkS8xhTKThLK/clgU6rgegRQxo/\nyQn3RUc05cGvrdkf8LsvU55jkA90pXYebvIvR+Tjy7ZGyuh2O4SY1vr1+XxXvf/4J97cAQB4/E1v\nV+hFr3nXv92yzxrxcZS+kAgpuc6wDGfw+LRajf91ClcurvRWSmZZNhEREVG0WLpMATQajWzJcKyu\nvvgUlBSYIu4XTRfgYMEfvqWPceG4ypD9tRoN/vtlaNCtGOj2sw/q2qC/YrnqZK3WO+84pIw2RkqB\nrsst4NmVu3Coph1tHYGlz745ujlGHSzm0LnhUm9+cihkW2/X5fBjf+LN7WHvj+TepaFrB8dCqYlX\nSCk2MivWDb6u0czjBgLXyg14vOBmYhnS2I2IiIjUhYEuybr35xP7/Bh/vfb8BIwk1P/OGB3wuzSD\naZJZvqbZZg/JPnmLKRVKl2PraZR2oXN0ZTK6Go13reA4go5Jo8v9t32ly06XELCczlcHmrBpdz3+\n/NKXyDEE/rNS31P+mmPQQRcclUdBaR3dyqA50/Fkc6Xau+QD1WgpBbqhXZfFtES6SqXfoaXL8Fca\nKwWzPXfKCnm+UY6PiIiIKJEY6JIsva7vc+qiaVwUbfZIakh5Psw5vVX30thpcFlow6it+xtDO/l6\nRMVpg+Eyh7+YORo/+95psQ04yYIDW7lL6s/oxhgMFllycMWFJ/t/d7k9EDwezF+yAX95qXepnjxT\n7+thDOqs7HJ7oAFg7Hk/XDwhtlJwf9flnp93/2QCFl4zCT/57ikxPU6ydSpldMXgQDc55480h1np\nfS1XutwXIW8xRrpERESUBgx0Kal+PiNCUBjnZ2ppUyRpZlapXPqDTd8E/C6KouKpwwW6F46rxNSz\nByve7wsy09l6Ry5TrdVq4PGI/qVubpw1BidXRm6wJYoi9JLAx+X24IS1E512N75p6MBtj6+DKIoB\n18z32hRZcvzbjEadPyAvGRC5pD1wDN6fviBdq9VgWIUFebnhy6BTrcMeXUYXiJApjVOk0m6PQqVC\n8HHhGsFJKZ0tOOBOxnMlIiIiioSBLskqL4ptPVwl3x47KOz90X6oDuaSBrqSh9BoNJhz0UiZIwKJ\nYpg5un0ogZ0+cSjmXzUes6MYQ7KEzegKIkxGHSZKypF98kx6TD4zsDu1CKC0MBeXf3sEAGDd9lo0\n23qbRbV3uWDrcsEtmfvry2z+6vtn+LeZJFneaJco8tlxqAmvrN7nn1+s6wm8dbrM+uer2xFdMyq5\nzGtf1771nifS/QoZ3eDS5WgzutGWLjPOJSIiojTIrE+KlDFMRj2WLrgIy+6e1qfH0UX40Bxv5lM6\nPzOk/DmKB/WEWfKkL82otBoNzhxRHHMwl0hKc3RF0RuEKL0mT9x2IX56yakB23yXQprFfuatnQH7\nNLR0BzS52nWkBUBgOXOOIXTudCzWVB/Huu01AHpf74oEfRmTKN0O+fVro5mzmogGaJG+oIm6dFny\n/gk3rA+++EZ+u0z1BBEREVGqMdAlRb7GQQV5xrgfQ6PRoCBMp904E7r4tSRbGExaMqtEFOW7EwOR\nM2Ph+IKJb40dhFOHFmJWTyY0lZQyugDQ5XCHzYTm5uhRUWz2/+4LUqSBuzOo83Kzze4viZaSztXN\nkWkSFitfxtT3XPQ6bVSvdarYFQLd0IwuQqLdRHQmjli6rBTohpQu93koARjmEhERUTow0KWI/viL\nSX06/rwzBireF2/p8rAKi/92cMbs3NEVmHn+MOTmKAdXYpja5WgyUAuvmYQbZ43x/17aM+901OAB\nALwB490/+f/t3Xl4k9WeB/Dvm6RpaNOdpJQKtRTbArZAASm2LMqmgzKCggp1Hq4PIgKC42hpuQj4\neNnRq4P6uODzXB/cUHAURy+4XHGYOwUH8dbtKpYRuRbsRmlp2qRZzvyRNmRtkjZN6tvv5w8lb5KT\n02OK+eac8zsFGD18oN+2Qs1bga/OWdzGSyY0G9o97nemHXB5JrZzKNRRvv+qMLVbceL7Wo/raqdw\nfK7e4NRm96JPZ1h2XlrrXvgqkkxmH0uXPYpRee5a7WnF6EDa8BWm3f97KCT/p1sHFcyZdImIiCgC\nGHTJr57OmnWVZUMxeWRxm01UKCQsmDYc6+7yfUSSrZvFqDoNTY1z2ed654yrsHHJBIzL0bk8LtSz\nYwHx8prOXwx0mjVhiNenOx8B1Lk3t6tjgT44fhYnfqjzuO48C+wcwrq7jNlstv93dp6JT/BzLm84\n+Qy6bqHQWyDtySoCRxt+i1H5WrrseluhkPxmU+c98j3tFxEREVFvYNClXpeo7d3lpc77Q50NTonx\neh2wF+AZkqoFAIxxm3UN5nN5597VYWnxyBgU5zFDHYolu8Hylq0z0zwrLF8zIhXPPzTN43rn0VJD\nU7WYPs7/UUA1F1q9Xve1T7lw1CDEdSOgdgYm5z3Gd980EhleQnwkGNu9B133UGi12jzeY+HZo+v9\nuueMrv+2zJbAgy5zLhEREUUCgy71uunjfB/H05PPwJqOEOlc9MiZJEnI8nGEjhACU/IH4/5b87Bs\n7kisXTTWcV8woeOu2Tl4/qFpSPAR5lOTYnDbtCz8/q5xGHvVQNwwcWjAbXeXt+XgGh/LuL2F0eJ8\ne6Vs92OUnnn4uoD7kBKvgVrl+zWX3JAbcFvunJdm6xMHYPVt+d1uK5R8zei6h0JvM7qhWLrsN+j6\nrLrseY6uv7YsQczoEhEREUWC94RA5GbJjbn405+/79Zzo3wEHqBnFVn/sHQifjrfjHSd1udjbp2a\nhR2vf4mbrr0S//k/ZxzXbTYBhULC2KvsS42dw2GwhYH8VVj+p8IMAMD9t9oDWeHIVBjbrXjlw1P4\npa4Fyo6jf3qTJojlwoUjB+HqzBRo3c6pHTooHndcPxxv/KXKbxtrbsvv+piaHizpdm+3q/3D4WTy\nMaNrcQu6Fi8rEEJSjMpPG9Ygqi5b/PxeBjejyyldIiIiCj8GXQpIT/eajsvW4YtTnvs4eyI5XoPk\neE2Xj8nNSHIckeQcdN0/ezuHp97+XN65X3bDkvFoNVnQZrLg5Kk6jBk+EO8c/Qlmiw1/q6oPqs2V\n8/LwzH987fN+jdMS6pXz8lzui4+J8lja7B5yO826ZmhAQdc9fD64cLTLbf/ljnzzCLoRPMrJWeAz\nujYvxah6PkPqbyWC1ccsrLd8zKXLRERE9FvXNz4hUp83OMV+bq2vpcD+LL9llOPPzgWbwvkh+F9u\nyLn8uvCcxeoUruI5KqUC8TFqpCbF4MaJGUhLicV9t1yN268fjpT44PY1uxfBcqdRX/5OKyXBte0/\n3l+MNQtGuz/FpwHR/r8fU7kdYXT1sBTXB4RwRtf9tSLF20wt4GWPrk14BMlQzOj6WxXgK5y6z7ja\nhPD7OxBU0GXZZSIiIoqAvvEJkfq8rPQElC0uwIO3j+nW852r9t7ndCxPpD4Cx2pcZyydZ6xDETp6\nIjU5BjtXFIW0TeeiWO5Vj4M94mnVvKuxcl6eRxEvZ53hc/HMbCy50XM/buYg+6z2NKd9wMOvSMBd\ns7L9vr778UmSJEGfNCCgvkeCx4yuVXjMooZkj66fJnwFcW+hu6vfAZtN4NE//W/A/eKMLhEREUUC\nly5TwLKHJPbo+YWjUtFutrkGlTB+Ch7gNKt5fYFroaXOc3CBnh+nFCpPri6GQpKw+qmjPW7Leemy\n8+xud4y4MhkAkDcsGcsf/8zrYzqDrq+qzQnaaDz/0DREqRSob2rDN/93AUVXD8KgZM9K2WqVAu1O\nYVHpZe/vlmWF+PJUHf5R24KM1Djsftv3Mm4A+P1d4/DWp1U49UtTl48LBW9Ll5Vu3zGG4ruV7haQ\ncn+aTVxe1eDt19PYbgmqX9yjS0RERJHAoEths+zmUR7XwvkReHyuDj+dH4KivDSPAllxMWo8tnQi\nvj7TiMlXp4axV77Fx6gBAAXZOpzs4f5mlVKBRTOugtlqC1mQV0cpcfO1V+L7s4340S0wRqn8zxJ3\nFvG6/fqrMD6nCcX5aahyaqf0zrG4Mi0OSoWEB3b/N9pM9j2w7jO6ndfG5egxLkePiy0mv6+dHK9B\nWck4tBrNON/Qiq2vnMTiWdnYe/gHFI5MxbHvavy2ESj3oGuxCbi/88NRjMrX2bfuy5T9zegGs2wZ\n4IwuERERRQaDLvUbSoUCd0y/yuf96QNjMWbEINTVXQpjr/xbNT8Pd2/7S4/bmTF+SAh642relGEA\ngOq6Fjzy0ueO68og9s2mD4xF+kD7HnDnDJubkeT4c/YViag83dDRdtchOlEbjVXz85A+MBblLxyD\nJNmvNV4yYdPvJuDMr5ccYT9GE4Ws9ATsWWs/OmnK6DQYjBYc+64GQ/Ra/KO2JeCfwxfPc3QFFFIv\nBF0/idK9+rOv17bv0bX/uaHZiD8f/xk3Tsxw3N8ebNAN6tFEREREocGgSxGx/J9H4cT3tRjcEXCo\naynxGjQ0G3HDxKE4c74Z35+9GOkuuUjXabFs7ki8cPA7AN5nXQMxMMG+1/YKnev74p6bR+KNT6pQ\nkK0LqPhUQba9ONeTq4sRpVQgSqWAzSagjlI6ql57o1TYC4TtWD4J8bFqn0uzg2G2uFZjttoElG6h\nNBzn6Ppauuy+tPir0w0Ynp7guP3Wp6cxOX+woxJ3u4/q0j4x6RIREVEEMOhSRFwzIhXXjOgbS4R/\nC8oWF+DAf53GtLHpiBo/BP/2zF8xIVfv8pjHVxYFH0JCaHyOHi/gux61kRQXjc33TERynOuxUTGa\nKNw9Z0TQ7XUu/wYABH6UMAYm2gP3rhXXQqNW4nxDK9rNVpitAlXVTahtbMXnf6/1+tzcoYkuX0R4\n26Nrs7l+ERDJqsvennb6nOtSdFO79XLQDXJGN1xVzImIiIicMegS/QakJGhc9jg/869TXApMAZEv\noqVSKvCHpRPRZgquWJG7tJS+M8vfeU5zltMMZ35WCmxC4M4Z2bDZBD77WzUO/vWM4/6ivDSXoNvW\n7vrlQ7vZhii3WelQnKPrr+hToHt07W253m5zKkAV7Jcpj+45hk2/m9DlTDoRERFRqIU86G7ZsgWV\nlZWQJAnr1q1Dfn5+qF+CqN8L5CzbSOgvS9EVkoSEWPts8S2Th2HpvHy8+eH3uNjSjtFuxy6Z2j2D\nocHo+mVAKKou+5vR9XW8kAjgxZ2/vAi2GBUAvP7xj1i7uCDo5xERERF1V0jP0f3888/x888/Y9++\nfdi8eTM2b94cyuaJiPokSZJwfcEVmD9lGLQDorBt+SRML7gCE0deXp5/z00jfT5/5+tf4sBnp1FZ\nVY/qegNa2sxBz/J2uxhVAEuLW40WHP3qHJoN7TCZez77TERERNTbQjotVFFRgRkzZgAAsrKy0NTU\nhJaWFmi12lC+DBFRn6ZPHIDFs7IBAPfOHQWbEFBIEgalxOCl9/+Oc/UGLJ6ZjZQEDf59/1cAgPcr\nfvZoJzpKCU20EjHRKmjUSqhVSqijlFCr7AW2lAoJSqUCSqWEi5e6Plbp9U9+RFu7BRIASBIk+7/Q\n6Od5APDO0Z/wc429WnXu0ODP0/61sRV7D/+As7WXkH1FIk78UItEbTTGDB/o9Vxkhy6KmnWv3Fnf\notVGoyWA47DCITk+GuNy9P4fSERE9BshCX8bu4LwyCOPYOrUqY6wu2jRImzevBmZmZleH2+xWKFS\nBVEhhohIZoQQqGtsw5nzzfjpfBPqGtvQ1GJCq9ECg9GMVqMFrUYz2kzWgPbHKhSSo7iVQgrNsmjq\nH15/7EZonQu4ERH1Q7GSBIMQiO3mCRJ9nRx/NoOPONurG/38ZejGxtZee22dLq7PnYfaV3BsfOPY\n+Max8a2nYyMByNTHIlPf9R5nmxAwm20wWaywWGyw2gSsNgGLxQabEFAq7LPGjc0mJMZFQ6mQ8OuF\nVlisAs2t7fZGBCDs/4CAvfBUolYNs9WGaJUS8Vo1GpqMUEgSDEYzTGYrJEgwW21QdZxhLEFCYpwa\nSoUCkgQMTNDgfEMrUpNi8NP5ZsTHqhGrUdnPLE6MwcWL9r/rlUoJ1o69wlEqBSw24XOPcFf/95BL\nIeeEBA2amoyR7gYAIDFOjTaDCW2G0M8w63QsREZEROEX0qCr1+tRX1/vuF1bWwudThfKlyAi6rcU\nkoRotRLR6q5XwnQejwR0r4p1fDdm9TLT4gEAozKTHdeS4zX8gqQLHBsiIqLeE9JiVEVFRTh8+DAA\n4Ntvv4Ver+f+XCIiIiIiIgqrkM7oFhQUYNSoUbjjjjsgSRI2btwYyuaJiIiIiIiI/Ar5Ht2HHnoo\n1E0SERERERERBSykS5eJiIiIiIiIIo1Bl4iIiIiIiGSFQZeIiIiIiIhkhUGXiIiIiIiIZIVBl4iI\niIiIiGSFQZeIiIiIiIhkhUGXiIiIiIiIZEUSQohId4KIiIiIiIgoVDijS0RERERERLLCoEtERERE\nRESywqBLREREREREssKgS0RERERERLLCoEtERERERESywqBLREREREREssKgS0RERERERLKiinQH\nesOWLVtQWVkJSZKwbt065OfnR7pLYbdjxw588cUXsFgsuPfee5GXl4fS0lJYrVbodDrs3LkTarUa\nBw8exMsvvwyFQoGFCxdiwYIFke56WBiNRtx0001YsWIFJk2axLHpcPDgQezZswcqlQqrV69GTk4O\nxwaAwWDA2rVr0dTUBLPZjJUrV0Kn02HTpk0AgJycHDz66KMAgD179uDQoUOQJAmrVq3C1KlTI9jz\n3nXq1CmsWLECS5YsQUlJCc6fPx/w+8VsNqOsrAznzp2DUqnE1q1bMWTIkEj/SCHjbWzKy8thsVig\nUqmwc+dO6HS6fjk2RER9mdxyRKCZQJaEzBw/flwsW7ZMCCFEVVWVWLhwYYR7FH4VFRVi6dKlQggh\nLly4IKZOnSrKysrEBx98IIQQ4vHHHxevvvqqMBgMYtasWaK5uVm0tbWJOXPmiMbGxkh2PWyeeOIJ\nMX/+fHHgwAGOTYcLFy6IWbNmiUuXLomamhqxfv16jk2HvXv3il27dgkhhPj111/F7NmzRUlJiais\nrBRCCPHggw+KI0eOiLNnz4p58+YJk8kkGhoaxOzZs4XFYolk13uNwWAQJSUlYv369WLv3r1CCBHU\n++Xtt98WmzZtEkIIcfToUbFmzZqI/Syh5m1sSktLxfvvvy+EEOKVV14R27dv75djQ0TUl8ktRwSa\nCeRKdkuXKyoqMGPGDABAVlYWmpqa0NLSEuFehdeECRPw1FNPAQDi4+PR1taG48ePY/r06QCA6667\nDhUVFaisrEReXh7i4uKg0WhQUFCAkydPRrLrYXH69GlUVVVh2rRpAMCx6VBRUYFJkyZBq9VCr9fj\nscce49h0SEpKwsWLFwEAzc3NSExMRHV1teNb3s6xOX78OCZPngy1Wo3k5GSkp6ejqqoqkl3vNWq1\nGi+++CL0er3jWjDvl4qKCsycORMAcO2118rqPeRtbDZu3IjZs2cDuPx+6o9jQ0TUl8ktRwSaCeRK\ndkG3vr4eSUlJjtvJycmoq6uLYI/CT6lUIiYmBgCwf/9+TJkyBW1tbY5lCSkpKairq0N9fT2Sk5Md\nz+svY7V9+3aUlZU5bnNs7H755RcYjUYsX74cixYtQkVFBcemw5w5c3Du3DnMnDkTJSUlKC0tRXx8\nvOP+/jg2KpUKGo3G5Vow7xfn6wqFApIkob29PXw/QC/yNjYxMTFQKpWwWq147bXXcPPNN/fLsSEi\n6svkliMCzQRyJbug604IEekuRMzHH3+M/fv3Y8OGDS7XfY1Jfxird955B2PGjPG5360/jw0AXLx4\nEU8//TS2bduG8vJyl5+7P4/Nu+++i8GDB+Ojjz7Cyy+/jIcfftjl/v48Nr4EOyb9YaysVitKS0tR\nWFiISZMmedzfn8eGiKgvksvfv8FmArmQXdDV6/Wor6933K6trYVOp4tgjyLj6NGjeO655/Diiy8i\nLi4OMTExMBqNAICamhro9XqvY+W81E6Ojhw5gk8++QQLFy7EW2+9hWeffZZj0yElJQVjx46FSqXC\n0KFDERsbi9jYWI4NgJMnT6K4uBgAkJubC5PJhMbGRsf9vsam83p/Eczvkl6vd3yLbDabIYSQbzGM\nDuXl5cjIyMCqVasAeP//VX8dGyKivkCOOSKQTCBXsgu6RUVFOHz4MADg22+/hV6vh1arjXCvwuvS\npUvYsWMHnn/+eSQmJgKw7/PqHJcPP/wQkydPxujRo/H111+jubkZBoMBJ0+exPjx4yPZ9V735JNP\n4sCBA3jzzTexUYAtuwAAAdpJREFUYMECrFixgmPTobi4GMeOHYPNZkNjYyNaW1s5Nh0yMjJQWVkJ\nAKiurkZsbCyysrJw4sQJAJfHprCwEEeOHEF7eztqampQW1uL4cOHR7LrYRXM+6WoqAiHDh0CAHz6\n6aeYOHFiJLve6w4ePIioqCisXr3acY1jQ0TUt8gtRwSaCeRKEjKcs961axdOnDgBSZKwceNG5Obm\nRrpLYbVv3z7s3r0bmZmZjmvbtm3D+vXrYTKZMHjwYGzduhVRUVE4dOgQXnrpJUiShJKSEsydOzeC\nPQ+v3bt3Iz09HcXFxVi7di3HBsAbb7yB/fv3AwDuu+8+5OXlcWxgP15o3bp1aGhogMViwZo1a6DT\n6bBhwwbYbDaMHj0a5eXlAIC9e/fivffegyRJeOCBB7wuUZWDb775Btu3b0d1dTVUKhVSU1Oxa9cu\nlJWVBfR+sVqtWL9+Pc6cOQO1Wo1t27YhLS0t0j9WSHgbm4aGBkRHRzs+MGVlZWHTpk39bmyIiPo6\nOeWIYDKBHMky6BIREREREVH/Jbuly0RERERERNS/MegSERERERGRrDDoEhERERERkaww6BIRERER\nEZGsMOgSERERERGRrDDoEhERERERkaww6BIREREREZGs/D/TSO5YEVjMPAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f59d0458d30>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"[6 1 2 7 9 0 0 7 1 2 4 8 4 2 5 8 0 6 2 0]\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "nN2lhjAqDJIl",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"ax = plt.subplot(1, 2, 2)\n",
"\n",
"plt.imshow(w[0:40,0,0,0:].cpu().detach().numpy().transpose())\n",
"ax.grid(False)\n",
"ax.set_yticks(range(40))\n",
"ax.set_yticklabels([0, 1,2,3,4,5,6,7,8,9,10])"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "BaSP50OyDoSe",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"plt.show()"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "Kyi2TpYZ9BIH",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### Plot..."
]
},
{
"metadata": {
"id": "OgVYuh1I8WwB",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"\n",
"#%%\n",
"from pylab import rcParams\n",
"rcParams['figure.figsize'] =20, 20\n",
"\n",
"plt.imshow(w[0:130,2,0,0:30].cpu().detach().numpy().transpose())\n",
"\n",
"plt.matshow(w[0:200,2,0,0:10].cpu().detach().numpy().transpose())\n",
"plt.axis(\"off\")\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"\n",
"def samplemat(dims):\n",
" \"\"\"Make a matrix with all zeros and increasing elements on the diagonal\"\"\"\n",
" aa = np.zeros(dims)\n",
" for i in range(min(dims)):\n",
" aa[i, i] = i\n",
" return aa\n",
"\n",
"\n",
"# Display matrix\n",
"plt.matshow(samplemat((15, 15)))\n",
"\n",
"plt.show()\n",
"\n"
],
"execution_count": 0,
"outputs": []
}
]
}
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