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@frederikhermans
Last active November 10, 2015 13:06
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PoC Fountain codes via signal collisions
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{
"metadata": {
"name": "",
"signature": "sha256:c993b2e9a91581ae235681d8d02d324986cfe5ee3d8610178ee0f9e6af7be6f6"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Radio stuff ##"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"samples_per_symbol = 32\n",
"t = np.arange(0, 1.0, 1.0/samples_per_symbol)\n",
"BPSK = {'symbol_width': 1,\n",
" 'symbols': {0: np.cos(2*np.pi*t),\n",
" 1: np.cos(2*np.pi*t + np.pi)}}"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def modulate(bytes, mod):\n",
" sym_width = mod['symbol_width']\n",
" signal = list()\n",
" for b in bytes:\n",
" for _ in xrange(8/sym_width):\n",
" sym = b & (2**sym_width)-1\n",
" b >>= sym_width\n",
" signal.extend(mod['symbols'][sym])\n",
" return np.array(signal)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def demodulate(signal, mod):\n",
" sym_width = mod['symbol_width']\n",
" bitpos = 0\n",
" b = 0\n",
" bytes = list()\n",
" for i in xrange(0, len(signal), 32):\n",
" chunk = np.array(signal[i:i+32])\n",
" \n",
" # Normalize amplitude to [-1,1]\n",
" chunk -= min(chunk)\n",
" chunk /= max(chunk)\n",
" chunk = chunk * 2. - 1.\n",
" \n",
" # Compare to the shapes of the different symbols\n",
" min_diff = float('inf')\n",
" best_sym = None\n",
" for sym, sym_signal in mod['symbols'].iteritems():\n",
" diff = np.sum((sym_signal - chunk)**2)\n",
" if diff < min_diff:\n",
" best_sym = sym\n",
" min_diff = diff\n",
" \n",
" b |= best_sym << bitpos\n",
" bitpos += sym_width\n",
" if bitpos == 8:\n",
" bytes.append(b)\n",
" b = 0\n",
" bitpos = 0\n",
" return bytes"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Example\n",
"\n",
"txbytes = [17, 23, 43, 128, 6, 251]\n",
"s = 0.2*modulate(txbytes, BPSK)\n",
"plt.plot(s)\n",
"rxbytes = demodulate(s, BPSK)\n",
"print rxbytes"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[17, 23, 43, 128, 6, 251]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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uouRzcRI+3j3kox9d7MyG2yTsTHQnmUQ/JsFFmqebXHXStdGEs6xQsU6C8pyE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\nAQEBAQFSBCcREBAQECDF/we2fyhWThq4GAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10c674e50>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LT code ##"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def rho(d, K):\n",
" d = float(d)\n",
" K = float(K)\n",
"\n",
" if d == 1:\n",
" return 1/K\n",
" elif d >= 2 and d <= K:\n",
" return 1/(d*(d-1))\n",
" \n",
" assert False, 'Invalid degree %f' % d\n",
" \n",
"def tau(d, K, delta=0.5, c=0.1):\n",
" d = float(d)\n",
" K = float(K)\n",
" S = c * np.log(K/delta) * np.sqrt(K)\n",
" \n",
" if d >= 1 and d <= np.floor(K/S) - 1:\n",
" return S/K * 1/d\n",
" elif d == np.floor(K/S):\n",
" return S/K * np.log(S/delta)\n",
" elif d > np.floor(K/S):\n",
" return 0\n",
"\n",
" assert False, 'Invalid degree %f' % d\n",
" \n",
"def mu_sample(rand, K):\n",
" \"\"\"Take a sample from the robust soliton distribution.\"\"\"\n",
" Z = sum([rho(e, K) + tau(e, K) for e in xrange(1, K+1)])\n",
" mu = lambda d: (rho(d, K) + tau(d, K)) / Z\n",
" \n",
" M = np.zeros(K+1)\n",
" M[1:] = np.cumsum([mu(e) for e in xrange(1, K+1)])\n",
" for i in xrange(1, K+1):\n",
" if M[i-1] <= rand < M[i]:\n",
" return i\n",
" assert False"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class PRNG:\n",
" A = 16807\n",
" M = 2**31 - 1\n",
" MAX_RAND = M-1\n",
" \n",
" def __init__(self, seed):\n",
" self.seed = seed\n",
" \n",
" def nextInt(self):\n",
" self.seed = (self.A * self.seed) % self.M\n",
" return self.seed\n",
" \n",
" def setSeed(self, seed):\n",
" self.seed = seed\n",
" \n",
" def getState(self):\n",
" return self.seed "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def get_source_blocks(R, K):\n",
" r = R.nextInt()\n",
" d = mu_sample(r / float(R.MAX_RAND), K)\n",
" blocks = set()\n",
" while len(blocks) < d:\n",
" blocks.add(R.nextInt() % K)\n",
" return list(blocks)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def tx_fountain(signals, R):\n",
" K = len(signals)\n",
" \n",
" while True:\n",
" seed = R.getState()\n",
" block_idxs = get_source_blocks(R, K)\n",
" blocks = np.array([signals[i] for i in block_idxs])\n",
" yield seed, block_idxs, blocks.sum(axis=0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import collections\n",
"\n",
"class Decoder:\n",
" def __init__(self, K):\n",
" self.ts = list()\n",
" self.ss = [None for _ in xrange(K)]\n",
" \n",
" # Map source indices to encoded indices\n",
" self.s_to_t = collections.defaultdict(list)\n",
" self.t_to_s = collections.defaultdict(list)\n",
"\n",
" def update(self, block_idxs, signal_sum):\n",
" decoded = [i for i in xrange(len(self.ss)) if self.ss[i] != None]\n",
" \n",
" for i in set(block_idxs) & set(decoded):\n",
" signal_sum -= self.ss[i]\n",
" \n",
" block_idxs = list(set(block_idxs) - set(decoded))\n",
" if len(block_idxs) == 0:\n",
" return\n",
" \n",
" self.ts.append(signal_sum)\n",
" i = len(self.ts)-1\n",
" self.t_to_s[i] = block_idxs\n",
" for s in block_idxs:\n",
" self.s_to_t[s].append(i)\n",
" \n",
" def complete(self):\n",
" return not None in self.ss\n",
" \n",
" def can_decode(self):\n",
" if self.complete():\n",
" return False\n",
"\n",
" for (i, connected_ss) in self.t_to_s.iteritems():\n",
" if len(connected_ss) == 1:\n",
" return True\n",
" return False\n",
" \n",
" def decode(self):\n",
" if self.complete() or not self.can_decode():\n",
" return None\n",
" \n",
" # Find a t which has only one edge, i.e., for which we know the corresponding s\n",
" ti = None\n",
" for (i, connected_ss) in self.t_to_s.iteritems():\n",
" if len(connected_ss) == 1:\n",
" ti = i\n",
" break\n",
" if ti == None:\n",
" # Nothing to decode at this time.\n",
" assert False\n",
" \n",
" \n",
" # Corresponding index in s.\n",
" si = self.t_to_s[ti][0]\n",
" \n",
" # Save the value for si.\n",
" self.ss[si] = self.ts[ti].copy()\n",
" \n",
" # Update all ts that are connected to si\n",
" for ti in self.s_to_t[si]:\n",
" self.ts[ti] -= self.ss[si]\n",
" self.t_to_s[ti].remove(si)\n",
" \n",
" return si, self.ss[si] "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Tying things together ##"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Channel attenuation coefficients for the nodes\n",
"channel_coeffs = [0.5, 0.1, 10, 0.8, 2.4, 4.2, 32, 5., 0.2, 2, 1, 7.2]\n",
"# K == number of nodes\n",
"K = len(channel_coeffs)\n",
"# Bytes per payload\n",
"payload_len = 4\n",
"# Payloads of the K nodes\n",
"payloads = [[np.random.randint(0, 256) for _ in xrange(payload_len)]\n",
" for _ in xrange(K)]\n",
"# Signals of the individual nodes\n",
"signals = [c*modulate(payload, BPSK) for c, payload in zip(channel_coeffs, payloads)]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fountain = tx_fountain(signals, PRNG(2505))\n",
"decoder = Decoder(len(signals))\n",
"\n",
"i = 1\n",
"while not decoder.complete():\n",
" print 'Round', i\n",
" \n",
" _, block_idxs, signal_sum = next(fountain)\n",
" print 'Received overlapped signals', block_idxs\n",
" plt.figure()\n",
" plt.plot(signal_sum)\n",
" plt.title('Received signal at round {} = {}'.format(i,\n",
" '+'.join(str(j) for j in block_idxs)))\n",
" \n",
" decoder.update(block_idxs, signal_sum)\n",
" print 'Decoded at this round:',\n",
" while decoder.can_decode():\n",
" decoded_idx, signal = decoder.decode()\n",
" print decoded_idx,\n",
"\n",
" i += 1\n",
" print '\\n---'\n",
"\n",
"print 'Decoding complete, demodulating ...'\n",
" \n",
"for i in xrange(len(signals)):\n",
" if demodulate(decoder.ss[0], BPSK) == payloads[0]:\n",
" print 'Correct payload for signal', i\n",
" else:\n",
" print '*** Incorrect payload for signal', i, '***'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Round 1\n",
"Received overlapped signals [10]\n",
"Decoded at this round: 10 \n",
"---\n",
"Round 2\n",
"Received overlapped signals [0, 9, 10, 4, 2]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 3\n",
"Received overlapped signals [1, 10, 4]\n",
"Decoded at this round: \n",
"---\n",
"Round 4\n",
"Received overlapped signals [0, 1, 2, 4, 5, 7, 8, 9, 11]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 5\n",
"Received overlapped signals [9, 11]\n",
"Decoded at this round: \n",
"---\n",
"Round 6\n",
"Received overlapped signals [3, 5]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 7\n",
"Received overlapped signals [0, 9, 11, 5]\n",
"Decoded at this round: \n",
"---\n",
"Round 8\n",
"Received overlapped signals [3, 11]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 9\n",
"Received overlapped signals [7]\n",
"Decoded at this round: 7 \n",
"---\n",
"Round 10\n",
"Received overlapped signals [1, 7]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" 1 4 \n",
"---\n",
"Round 11\n",
"Received overlapped signals [9, 1]\n",
"Decoded at this round: 9 11 3 5 0 2 8 \n",
"---\n",
"Round 12\n",
"Received overlapped signals [8, 3, 7]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 13\n",
"Received overlapped signals [8, 9, 2, 3]\n",
"Decoded at this round: \n",
"---\n",
"Round 14\n",
"Received overlapped signals [11, 4]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 15\n",
"Received overlapped signals [3, 7]\n",
"Decoded at this round: \n",
"---\n",
"Round 16\n",
"Received overlapped signals [0, 5]\n",
"Decoded at this round:"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" \n",
"---\n",
"Round 17\n",
"Received overlapped signals [5, 6]\n",
"Decoded at this round: 6 \n",
"---\n",
"Decoding complete, demodulating ...\n",
"Correct payload for signal 0\n",
"Correct payload for signal 1\n",
"Correct payload for signal 2\n",
"Correct payload for signal 3\n",
"Correct payload for signal 4\n",
"Correct payload for signal 5\n",
"Correct payload for signal 6\n",
"Correct payload for signal 7\n",
"Correct payload for signal 8\n",
"Correct payload for signal 9\n",
"Correct payload for signal 10\n",
"Correct payload for signal 11\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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OA1LoDNjoUpQK0UUr/D3RkF2VS8Ty0eUkTSIsXW7TJVpX6SCTRycfRieRzLr2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\nfa6KafOAlDkDkVdnPzZCUVFhnpOUdRwRH93ZMVg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MCCFHjW779u0jxx9/fLv7R4t+n376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\n",
"text": [
"<matplotlib.figure.Figure at 0x10d84b650>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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777yDhx9+mHutqMG3tNgvcLR9ALQJiKAzTECqSCLiuHQSe0+igNLSnEUBEQKQ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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10d48aa50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Zsk1eHkA0Rh81TdzSTSYYvY7N42b0rPOV1cdLN9mPyNINQUtLC8477zzccccd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\nMQs0o//nf5bnq6ut6zB6mTPTOYZAR94hfVpSYm9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"text": [
"<matplotlib.figure.Figure at 0x10d84f890>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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8jVYMgFxA/o/VygTAXQuAZ37x+I4SSUn6y1Zfz+bmiYhwFii1JUi5MBgVAL60\nqdGlJAH1QLDWKGtfc+mSPQDOrSfCGZ8KgNZETXKTYnkapcngKAbQfjDLAuDfK3VUeMNiZEoJJd80\ntwA8IQCuWgBqKc/+bvFy64fW9VbHpwKg1bPiPTBvIl0QRjoZHAmA/2OWBcC/V+oJ88+N/Ob19azx\n79KFdS7EHYwuXZR76s3NrENi5FxNTe5ZAO1ZAMR1JwFQxq8FQLK0gFcgC8A1Dh70n7oLAvOzNzbK\nf88/1ysASpYqv3+NTtEcHs5GIUvLqNZYNTWx771pAaj5zv1ZAKxWeyyPBEAdEgAJagvChIRQFpAc\nggBcfTVw5IjyNj/8ALz1lvfKo5b5otedwr9Xuk+5MBjtlXfuzP4XN05aQeDmZlYnV2MAZruAmpuB\n4GDjx/QGvN4WCwmAFn4dA/CFC0jNAoiKMp4FFAg3H+/F5ucrb/PEE96bSdVqZb1rtd404BsLQCwA\nXbrotwC4T9uVLKDgYLYfH62uF61pT3zRQdMDrzdAAqCFX1oA/Eb1xXS9SgPBAHbDG3EBlZayh9xX\nKa3egrsK1GZC9WbWiJYLqKnJ3ihqHQdQFgAlC0DtuFoWgFxj1dbGRM1oDMDdnrA4RiGHvwoA9/8D\nrru/AgW/FABf+heVBoIJgvGBOnzRcV8tPu4teE9RTei8OSGX1WoPqMo1mE1N+twpfECZERfQzz+z\n6UCUBE9NAJSCwOKG3BUBANir3kAwP4eaxQv4rwCQBaAfvxQAV0xrs1CbDM5oYPGnn9hrUZH55fQn\nuAVw4YLyNkbdD+4gCKwRlhvJDegXAFdcQJ9+yl6V1vAW9071uoBcFQDxuYw0hILAzhUdLf+Mcqs4\nPFx/WbyJtN6uZEAFCj6fDE7upvSlACgNBHMls6SkBEhLA4qLPVdebzBunPp0B3oEgF8XNZdCa6vy\n9TUCF4DOneWPJ+6Fax2nWzdjLqCTJ9nrjz/K7+NKEJj3aN2xAIw0hFYru35RUfIC4M8ZQABZAEbw\nqQAo3WBKAtDS4nlRUIsB6BEAMVVVwIAB6g2jqzQ1eU8gd+8G3nhD+fuqKiAuTtsCCAsDvvhCeZt5\n84DLLnO9nByrlTWWSplAelMquQBoWapiiovZb64k+koCIPeeY5YLSG9DyAVAbrQy4P8Zb65aPoGI\n2wLwq1/9ComJiRg6dKjts6qqKmRlZSEtLQ3jxo1DtcJImrAwed+w0sRXPXsCf/yjuyVWRy0GIDXZ\nxcg1KlWxRkdVAAAgAElEQVRVQP/+ngmA9u4NPPqo8veCALz3nnnn4z1bpe+uvFJdAC5cAG66SX0C\nwA8+MGeOGbEFoCQAel1ASp0UQD7wX1XF5hDSEwMQ309qQWDeoLkiAGKx0WsBtLWx6xcWJj+NAi+z\nwnLgPocsAP24LQDz5s1Dbm6uw2crV65EVlYWTpw4gbFjx2KlwrzOWjeY+GZvbgYqK4H9+90tsTru\nxADCwrwnAOfOqffKT5wA7rrLvPOpzf1eVARcfrn63DHV1WwbtUyh+npzUn+5BaDkAtKbU88D/0pz\nych1VCormQVQWSm/j1Lj5I0gsFELQOn5dGVmUm9CFoB+3BaAG264ATGSyVC2bt2Kuf9bQX3u3Ln4\n4IMPZPc1coNxn6qnA6pqMQA1C4BPvestAVCb6gBgAmAmanU4fx5ITWXlkQv2Njez65iSwrZVIzbW\nrWICsAcx1VxAegWga1djAqD1m7vqAvJ2DCA4WL2DFhKiXRYutGoZYLW16rMCuwJZAPrxSAzg7Nmz\nSExMBAAkJibi7NmzstupCYDUnVJWBlx1FXv1ZM9DywJQagyamuQtgNRUzwhAXJz690pLV7qKmnvn\n/Hk2v31UlLwVcOEC86V3764tAEYmVlPCTBeQ2RaAlgvITAvA1Xx4bgF06aIsANJ7XY5Ll9g59+5V\n3ubWW5k700zIAtBPiKdPYLFYYLFYZL+rqMjGq68Cu3YBmZmZyMzMBGC/wcScOwf06cMWoqir89wo\nYWkMQLwiGH9geQ9TjPShaGtjLo2+fVkvhz9UZsEbEfHIZTFKDZCrqAlAZSVr3Lt1Y9tJxam62rsC\noOUCampiKY56xgGoWQBKbr8BA9QtAH7v6rUAeIN28aJ7FoCZLqDwcP1ptMeOsYZeDrVlJ12lo1kA\neXl5yFPKK3YTjwhAYmIiKioq0KNHD5SXlyMhIUF2u4yMbEyfDkyc6Pj5pUvOD9a5c6wBiY9n/3tK\nANQWhAkOZp+JbzBOY6Njw1ddzcrYqRPLpqipMadx4/CburKSLTAuRauhNUJwMHPvyAkfP1dcHKun\nnFuqoYF9FxenLEzcdRQd7X55zbYA1Ab/iRvCpiZ2b/TuzUS/rc15vhypBaBnJLC3B4JpCYBeC4AH\nibVWTEtO1lcuvXQ0C0DcOQaAZcuWmXZsj7iAJk+ejJycHABATk4OpkyZIrud2g0m7WFwN0N8vLmN\nmxS1BWHkZnAUl1ncqFRX2xuzbt3UA6SucOkS85efOyf/vdkC0LmzcjYMtwCUVl/ii5OrWQBmpsrq\nSQM1KwYgbgirqthvEhzMxF+uTtIYgJwLSFoud2IArvSE9VgAegSAf//zz+rbabkzjSKuN00FoY7b\nAjBz5kxce+21+OGHH9C7d2+8+eabWLx4MXbv3o20tDTs2bMHixcvlt3XyA127hxr/Lt3V270zEBr\nOmilQLA0BsAX/gCMr0u6eDHw4ovq21y8yHqaStfCTBeQ1QokJMg33i0tzCXXrZvyouYXLzJxiI1l\njaJcoJgf24wRw96MAYg7KrW1dtFXmkZBLQgcEsLKLV2DwpcWgFJnR48LiFsAWgLQvbu+cumFRgLr\nx20X0IYNG2Q///jjjzX3NWIBSF1AnkI6HbT4YeS9SqWHQiwAvNcLsFetmRXFrFsHnD0L/OEP8t/X\n1LCHq18/5R41/1zJbWOEtja75ZWa6vgdD/AGBSkLHV+gOySEZS9VVzv3+rhgmZFbricGoHcgWOfO\n7B4Q3xecxkbm1pMTfaVBVGouIMDeYInjOmYIgKsWgFxHgnfQtOZ30rIAuNibkfklpqPFADyJT0cC\nK/Wu5CyA8+ftAuBpFxB/+KQDwQB5AeBTWoh7ldLGwIgFcMUV6t9/+y0wZAjz/SuJIf9c2mAYbWAF\nwT4iVmlUKI/HKAkAtwAA5aUa+WdmWQBqM2AasQAsFu37lMNX+wL0CYBUoCwWeZeFOwPBXOkJ6xkI\nZsQCUEgCND1RgdPRYgCexKcCYOQGq61ljVB0tPY6Au4g7ukFB7ObmN/I3AKQlpnHDcRTDLvjAuJr\nISv53M+cYdlFateC7ytu8P/6V9YAG2lEeG9aaSpscaOn5QIC1I8THm6uC0gpBmBkIBiP++jJhjFq\nAUgHgkk/E5fXlRiAu2mg7gaBBYF12qqq5H9XLgxmTxRIFoB+/FIA5NLM6uvZQ6U2J78ZiC0Ai8Ue\nB1CzABob7Q8oh7s9AOMuIN5oK02vXFYGJCWpXwu5+Vq2bmWNsdq0DnJl0ZoXJiKC/a8WBObXQu04\nUVHmNAZ6XEB6BcBIMFSP6Ku5gLgFIO2p8558UJB+AWhrs2euAeYOBOPPp9Sa/Okn4PRpx+OEhtrd\nflK4JW/2lBJkAejHLwVArodRV8duJE8LgDgNFHCMAyjFAHgGECAfAzDqAuKNoNIIydJSdQFobWU3\nvXS05nffsekYvv1Wf1l4YxARodxz5wKgxwWkdpzoaHMaA7UgsJHFVbiQyN2nra3sWOJYgisWgNQF\npGQBcBeQ3usjthoA8y0AORfQFVcA119vf89FTWlaaX4fkAXgO/xSAHxtAYiDfTwOwMsilxnBe5Ri\nE90dF5DVym5cVwWAnzsoyN5gNDUxU/zqq9Xn9ZHC/cFqrhs9AsCvhVoMwGwLQM4FxBtgqTultRVY\nuNCxByuOAUhdW7yTovSbu+MCkvbUXYkBiP3/SsdVwpU00Lo61shXVDimtqpNK11ba95vLoYsAP34\nrQCIbzBBsD9cWqsUuYucBcADwVoWgNHGQIm2NpbiqSYAvXopX4u6OnZOscugpISJRr9+xgTAiAtI\nKQYgdodpWQBmB4HlxFpOAPbuBV55BXj1VefjyN2n/B41KvpKLiBAOQjsShaQVAA8bQH8+COQkcHm\ne+IT/nEhjoqSj1Xx9GFPuICks6D668R1vsYvBUB6g128yH5InkboTQvAaAxA3BiIYwBGXUA9eihn\nO1VWsmwotV55ZKSjy+DMGTaVRp8+xgUgOFjb2gD0xQCULICGBtZQeNoFpCQAhw4BQ4cCBw86Hseo\nAHAxNOoCMjsILGcBmDUXkJwFUFTEOhf9+tknbNRjAXTr5hkXEK97UBC7f9UWIgpk/FIApDcY79EC\nrAFRyo4xA6kFIJ4PyIgFIB0HYNQF1L278ujY6mqWf650Lfj1EpdHLABiN4cW3AWk1wJwJwbgiSCw\nXgE4eRK47TbHlbzUBMBVq0/NBaQVBDYiAGI3CGD+VBBSC0BOAPjvoBYD8IQASFd8o9HAyvilAEhv\nMN6jBfzDApCWWRwD4LjrAtISgG7dtC0AsQvo55+BxET2pzUyUwxvDPTGAPSkgSoJiZkuIKU0UDUB\nGDOG+bCljbJcDEDLBaQU+FeaDRRQFy0zYgCenArCFQvAUy4gd+IfgYZfCoD0BhM3Mv6aBcQfarOC\nwEpLLPJzd+mi3SiLXUB8npru3Y0NwOETmnnDAjArC0gtDVTcmIo5eRJIT2fjK8QNmDsxACULQC5A\nqRYEdjUGIO0F8+OuXAl8843yvuKBYHqnguCpycnJ9vRlcQzAmy4gqQVAgWBl/FIApNNB8xRQwPdZ\nQK4EgY2OA1CzAHjvH1C+Fvx6icvDBSAigjUEehdfN2IBuBMDMNMFpBYDEDeM/Nq0tDCrKCnJMYip\nNg5ALAAcd1xAgHoQ2MwYwJIlwG9+o7xvfj6b8sNImjafEFA84Z/YAlALAnsyBgCQAKjhlwKgZgHw\nB8FTP6iWBaA3DVTa6zUaBNYrAPX1zo0Cv15iF1BlJRMAi0V9WmYp4nEASsFbM7KAGhrMcwGJ00D1\nZAGdP2+fxVPsIlMbByA39sOVuYDkgsBmWQBqMYBDh5T3/eILICvLWJq2eKoWPg2JlgXgjSwggARA\nDb8UAKmJKbYAAPesgPp6YOxY4P335b/3lAVglguIT74GMHEKDXW+hmILQOwC4hOwGREAPeMAtOqp\ndxyAJ9JA9cQAfv6ZzXYKMAHgUxS4EwOQuxZWK+tMKLmAlILAZo8D4BP6KU0j8vXXwMiR9udTek45\nC4CvCSEWAF4ns11ATU1sgZl//1v+e4oB6MfvBEAQnG8wsQUAuCcA777LFpZ/7jn57/XEAOR6g3JT\nQbjjAoqOZueRpq+JLQBA/lqIYwBSFxBgLA5gdByAu1NBmJkGqtSYSgWATzUOMCGQCoDeGIDWZHDi\nnjxgzAVkZhZQUBC7F44edd6vtRUoKACGDWMWUUiI8zWUWgCCYO9gcAEQBP1BYKMC8OGHQF4e8Kc/\nKdedsoD04XcCwKfCFU+sJk4DBdxLBc3LA1atAgoL5ecn0bIA5HqVnpgKIiREfiEZOQGQXgu5gWBi\nAXDFBWRmDMDf0kC1LABXgsByAqDmmuDHUEoDdTcGID6uIABpaY4pr5yyMnaf8Hooub/EcwHV1rL7\nv3Nntn1ICKu7VhootwCMin5eHpCdzZ4FudXGyALQj08FQM6dcumSsztFnAYKuGcBfPEFcwGNHi2/\nHql0jV09WUBKU0G4MxlccDDL9Ze6gfgYAI6SBSB1AfEYAOCaC4j796UPq5kWgNlpoHoFQGwBiGMA\n7o4DkF4LLQHgoqU3BlBQAKxeLd+AqmUBCQJL15QbD1Jc7LhIu9IzKrbQuf+fI7YCPBEE/uIL4Kab\ngBtuYP9LIQtAPz63APgi6xy5OVbkLABXBODSJTaNQloaMHw4W6xainThD7kYgJwFIDcSWGuaZCV4\no6skAFouIOlAsMZGVgdenrg4/WsqcBdQcDCru7QeYgHgvS6x20oQ2D48q0uuvC0trM7h4azhkK6I\nJebgQfab/PCD8jalpawsvrQA5ERfSQD4/kYHgs2eDTzzDLBxo/M1UJsKQhAcs53E8AGDHDULQJxg\nIF7gh6/apxYEFgTXBMBqBb7/nq2HofQMkwWgH58KQFCQfZF1jl4LgJuY+/erm8V1dfae2MmTrOcT\nEgIMHCjfiLhiAWj1Brt0sTdyeuC593oFQNrQSAeCXbhgzwACXHMBAfK9d3EWEOC8eEpzM7veXFTV\njpGUxGYr/fOflcvzhz+weZBefln++6oqYPt2YM4c1ywAuRiAWi9Y6TfngWPxvSkVgOBgtn9rq7oL\nSC4I/N13TMT/9jf5YKiWCyglRdkCEAuAtO5Wq/N02nosAKkAXLrE7okuXYwJQEkJey4iItgz/P33\nztuQBaAfnwoA4BxUVQquyVkAx44B114L/Otf8sdua2M337PPsveFhcCAAez/9HT5m0fLAlAaXCQW\ngJYW9qDwB5BnkuiNA2i5gIwEga1WR/8/YCwIzK0RQL7xFgc+AeeMGbErDLC7icQNIz9GaCjwl78A\nf/+7vFsjP5/1UD//HHjnHfmG47//BcaPZ3XUmlpZzgLgax9brfrHAfDfXBDsv3lwMDu/eD9pwwQ4\nltHIOICPPgImTQJuv51dD6V6is+jRwDOnHF0AUnTnnkdxPElOQHg19BiUbZSo6Lsiy7pRfoMy3Xi\nyALQj8cEIDc3F+np6RgwYABWrVqluJ304ZLrTUvTQHlDxHvmf/qTfGPwwQfslTdAhYXM/QPIWwB8\n9S/e4wXkLQClIDDvYfMAsDgrSE0ApILCG109QWC5RplfL/6QilNAAfZ/VRX7/6WXgNxc+XLx84kF\nQFyH1lb2YIkH7UnrKQ6GA3ZXkvg3Fwv85Zez7+VGqm7fDtx5Jxut27OnfBbLZ58Bv/gF+98VCyA0\nlDVMlZX6xgHw35j3/sW/uTQmoiYARscBHDzIpvaOiGAN4ZEjzvVUswD69GGuMulzI3UBSX8rORet\n1AUktgAsFnYdGhsdXXu1tfZ71IgFIBaAtDT2Xro/WQD68YgAtLW14ZFHHkFubi4KCgqwYcMGHD9+\nXHZbqYlpxAKwWlmDERsrH9B9913Wm+E33okT9psnMZE9EOKeME8BFT/EescBiEeXSnu9gHwcoLUV\nmDmT1WfJEvvnYgtATxaQlgUgDgAD7H8uAE8+yXKq5XypVivw4IPAQw/Z6yAWG7lGT2oBiAPA4msh\nPo709735ZuDjj53Lk5fH5usBgBtvZFM4S9m3z74oiSsxAMC5AVOzAAD7by4WOl5PIwJgJAZw6BBL\nZACAa65xvv+1XEBdurBGu7zccT9pEFhqAci5aKUWALcwefzIYnHuqPBOSnAwi0WozVD76af2RYxO\nnLB34rp2ZeeSWjJkAejHIwJw6NAh9O/fHykpKQgNDcWMGTOwZcsW2W3dsQD4DXbnncB77zket7mZ\nmclTp9qDkuLeg8XibAVIU0ABZwtAjwtIT2MAAP/8J/NpFhczsdq5k32uZgGIB4KJr4UY6VQQUhdQ\nbKxd+Pr0AebPBxYvhhNbtrD6zp8vfy5pww3oEwCt49x8M7B7t+M+TU2s13vDDez9TTc5C0BFBbs+\ngwax90oLrMtZAGIBSEhwFAA9MQCl31xcTyUB4I2T3oFgZ8+yrBp+L197rbwAqGUBWSzsty8udtzP\nFQtAKgA8yYCfB3BOV+YuoL59gSeeYCImt/7Fe+8xi+7119l78TMMyFvyZAHoxyMCUFpait6ibkRy\ncjJKFVY3ccUC4NMJcAG44w5g82ZHv/Levcw0Tk62N+BiFxDAbqTCQvt76SAwwLWRwFK3B+AsADU1\nLDbx17+yuf9feYWtSMWDxcHB+scBKFkAYheQkgXQ1sZ6+F995ehSEQQ2WO7JJ+0PsbThlgaAAdcE\nQHqcMWNYgyaduiA9naWKAqyXv2+f42++bx9rSLjLSml1LbEANDezMoqvaXw8swqMZAGZYQEA+mIA\nvPfP63nVVY7rGPB91LKALBbW0xf3vBsaWL3Ejbnc86nHAuACwMsoXbxI7AJasYLdg7NnO8YDSktZ\n52PGDLtbVioA0meY/6ZkAejDIwJgkU61qEB2djbOn8/G3/6Wjby8PADKFoDUBSS2ADIy2A+en2/f\nZssWFiDj0znX1rK/Xr3s23AfIkePBaAnDVRPY7ByJXO9jBjB3k+YwHpDr71mdwEpCYB4HIC0MeXp\ndWpBYB5cFgT2fdeuwO9/Dyxfbt9m1y72sN9+u/K5pAFgwHULQHycbt3Yb/N//2f/LC8PyMy0v09O\nZsc9ccL+2ZdfAtddZ3/fqZM9IM+RCsC5c6zBEt+yUgtAzzgAud9cGjPRGwTWcgEdPGh3/wDAZZex\nY4j7WFouIG4BiAWguJhdV/G10GOhy6WBioPAgHNHhVsAnCVL2HPGs7usVmDePCYA113Hyt7aytxF\nfCoLQPkZDhK1bO3dAsjLy0N2drbtz0w8IgBJSUkoFtmWxcXFSE5OdtouOzsbAwZk4557spH5v6db\nyQJQcwFZLKyh2rqVfW+1sgCwWABOngT693e8MQYMcGxA9FgAci4gucZA2uiJG8aTJ5lJK56OwmIB\nXniBBbSrquRdQILA3vNeMOCcBtrUxMRD3GBIYwCdOrFrXFdndzc98ADztf7wg733v2SJ4/WSNmhy\nLiBprEPuWug5TmYmKw/n00/t/n/OddexXj/niy8cBUCuQZUTAB4A5vjSAtATBD54kPX6xfUcPdpx\ngjetLCBuAYhdQFL3D6BsoatlAfE0Y7EFIOcCEj/TwcEsnXXlSuYKXbqU3Ud//KNdyE+fZtYyH3UP\nOFsA0nrzurdnAcjMzGxfAjBq1CgUFhbi1KlTaG5uxqZNmzB58mTZbeV6GNJpdtWCwPwGu/121usH\n2AMSFcV8wXxFL3EAmCO9edQsADV/sHRBGLXG4MgR1vNftszRGgHYwJYZM5h7SM4C4LnT4kZEOrum\n+FopuYAAuxtIPN//ggVsYNGGDewBnjHDuQ56YgDSLCCjQWCANfb/Mwpx8SKzBm680XEbsQDU17NA\ntrhnDDg//FIBkAaAAddiAHLWkFlBYHEMoK2NNfRXX+24zejRjm4gaRYQd6G0talbAOIAMOAcBBZ3\ndrhlpeQCElsASi4gMf36sUFtv/89s+bfe4/d73yskNIzLO7EyV1jI6uhBRoeEYCQkBD87W9/w/jx\n45GRkYG7774bg3hkToKSjxFgN6pcqqHUAgBYIKy4mM1vsmkTMG0a+5xbAD/8wHzIYrgA8J6MmgUA\naLuAeJnVYgDr1zP/9cMPy1+7P/+Z5bInJTEBEI8DkPr/AWcLQNyzEruAxCY6YA8EcwEAgEcfZSb2\nggWsNyYVQ28FgQEW7D14kF3rzz9ns1NKt+FxAIC5fy6/3PE+AeQFQNyb9hcLANDnAvruO9YLFje4\nALMI1CwAwPHYckHg06eZG1KM1jgduTTj2Fh234rHkCgFgaWMHcumuMjNZfXk5VZ6hvv1Y64vXq+O\naAF4khDtTVzj1ltvxa233qq5nZoFwHtW3J/NkbMAQkLsKYvigCZvwL//nvnZxXTrxhqn8nLWG9ey\nAAC7C0ic4aDHH8wbA6uVLT6uRHAwy1zi5RNbAHICoGYBiF1A4rgB4GwBAOyB3L/feSyE+FxiP7Ne\nAZDzjUsFQNobjI5msZ29e1n+f1aWc3mGDGGZP+fOMWtBaiEAzg8/D6jynvDZs8oWAA+kc9F39Tfn\nuBIEbmtjv0dICDvXl1+yQLeUK68EDh+2/57SLCB+7OZm+7mkQeDTpx3jLIC6BSAIzFrt0sWx0Q0J\nYb9nVZW6BSB1NynBLQA+BYS0Tr17Az/9xMSBLABj+HwksFaesdRXCMhbAACwaBG7qVavZsEswN6A\ny/UeAEc3kB4LgD+I4kEtetJAecMoLbMaXAD4AytNARVfC474enEXEF+tSYycAPA6yjX+cufyVBYQ\nZ948lim1fj0wd67z98HBwC23sFHB77wDyHkZtVxAZ8+yMSFiuAXAXRh8amm1bDVPWQAtLfbev8XC\ngvNyQhcXx+55HjhXsgDEQhYfz+4X/nudOqVtAUg7aHIWFGCfD0gtCCx9rpXgFsD332s/w2QBGMPn\nAqBlYkozgAB5CwBg2/3rX8A999g/4/OZ//ADyxmWkpZm9yHqsQB4mdV6RUoDwbgFoFcAOndm5eHX\n58IF55683IMltgD4QDA5F5CcAKjhrSwgzty5rDf++OPKvcUHHwR+9ztmMVx5pfP3agIAsIZeKgDS\nGACgnq4MeC4ILPblV1ay91OmyF+Lu+8G3nqL/a/mAuL1CgpiosGnVD59mk0RIUYrDfT8eXUBUHMB\niZMZ1OAWgJ5nmCwAY/hcALTSzIxYAHKEhjLzMDpa3ueYlmYfSKLHAgCc4wBG0kCNCADg6AaSEwAt\nC6ChgTXy0vLw6SCMCoC4QZP7beTmApL65fUcB2D7vf++/CA1TmYmsGMHywCTyz6WulTEDYSSBcBX\nY2tttR9Tep+6OhJYqXeqFAQWN+Tp6cAvf+kc0Of88pfqAsDFRSxsPBDc2spcodJkPS0XrZIFEBfn\naAFIXUA1NfLPoxydOjGhrqtjsTEp4meYLABj+FwAtAaCyTUOfHbN5mZ9ApCf75g2J2b0aOb3BvRb\nANJUULl5YeTSIz0hAGqmtcViz9CQNo48CKzk75fD1SwgrRGycscxwtix8g0DIN+jlrqApDEAPg3H\n+fPKAiDtqMjFMVx1AcnFLADgzTfZnxLx8XbXpJzYSC0AwJ4KWlrK9pfuo2UB8HEUUuQsAGkMQK8A\nhIayuJ548JuYq66yP8NkARjD5wIg17OSWgDSG4XPLVJbq92Y8gZdzm8KsHS6/Hz2oEqngub7y1kA\n0hkSxZlLZsUAAG0B6NTJPvoRkBcAqfsHcHQB6S2PmrXBkRsHoBUENuIPNoorMQDAHgeQEwCrlV1v\nMweCiYPAShaAFuLUTD0uIIBZAKdOsT+p+0dab8BZ+NRiAOLrJ3UBGREAXo+bbpL/fsQIZsWcP08W\ngFF8LgCuWACAfgHgD5zCMAR07cpSDrdtc54KGrCnkUpjAOJh9UZcQEYaXEBbACwWx1RQsWAGBbEH\nVEsA3IkBaAWB9QiAuxaAGmoCYLU6zwPE4esCyIm+uJMizVYTI7V05DJzpBaAWgxAC/HgSa0sIF6v\nIUPYzKvffOOcYSOtN6+7EReQ2lQQegWAd654dpyUkBCWDPDf/5IFYBSfC4CSb1VLAHiPQmvWieuv\nB44fdxw+LqVPH+aTVLIAxFNBAI4PRWsru8l5dpBaY8BdQHobXMBxLICcAACOqaCuWACuCoCeGICe\nILCvLIDqanaviUeWctQsALH/X89vLj23XPnMsgDEAqCVBQSwsRNff80GKI4c6XxMuSw9V7OApBaA\n3iDwiBFskN+wYcrb8GeYLABj+FwAPG0BhITIp46J4efSawGIYwDiBeG1LABPuIAAZwtALABKPtrY\nWPuykEZcQFpTOOi1ALSOYxZqAlBRId/7B9jn4t9KjwBoBYHF94q0fHqCwFqIp2dobnbuzMhZAKmp\n7P764APgiiucj6mUpcfPJR0FzJHGAMQWgNVq7Dfn831pbcNXKyMLQD8+FwAtC0BuyDjAPqupMdaY\nKsHP5YoFIBUAQL0xcEcAqqq0LQDx9VJzAXET3Yg1InVp6M0C0goC+8oCKClxno6D07Mne1WyALhV\nIxZ9dywAfiy1rCUtxDEAtamnxQIQFMTWpOjShVkDUtQsAO5CU7IAWlrkxwHwNGkj954W/HfQusaE\nIz4XAD0WgJyvUK8FoAexBSAVAK0YgHjqCkC5MeDZMd62AJRcQDExTFCMPIQ8+4oHxfVkASlNBsfL\n29bGrqV0G7OQPvziIObZs2yCQDm4y1BO9MWL3Bt1AalZAIC8BWBEAIzGAABgzRo2BkDuvlQbpwPI\nZ1EBdlGQcwEZSQHVC7dIyAIwhs8FwNUYQESEeRYARy4NVM4CkLqApI2BmeMAxKuCuRID+PlneROd\n94KNPBg8+4o3anpjAGpBYG4tacVyXEWpR83PpyQA/HMzYwDiOaPkysdHmlut9mUOXQ0C600D5fsp\nnUNrAFxFhfPYAcB54F5EBNu3rc1YAFgv3CIhC8AYfiEArsQAeI/CVxaAWgxAyQXk7RhAUBBLj5N7\nQDESgWEAABwdSURBVAG7m8MI0sbb3SwgT/r/AfVxAIBycoDUAlATAMCc2UD58fjUB4BxCwCwpwXr\ntQDUUBsAB7B7SPrMAHaL7uxZ9hoUxD6rr/ecAJAFYByfC4CWiekNC0AcA9BaEIaXmfcolILAZg4E\nq6pi18VqlXeVqFkATU3O87twlIRBDd54t7bKu270rAcQFsYeyLY2z/r/AcfeHx/ZyzO2AGDwYPn9\n+GjboiJ7meViAAD7XaSfAfZrIe6VawWBAUerwKgFANgbQj1ZQFooWQAcubEDYk6dsv/P4wBGMoD0\nwoPAlAVkDJ8LgNYQe29aAGoDwfRmAfHpq6UPemgou0EbG42VuWdPNkS/vJz9L/fgKo0D4GVWauiV\nRs+qwV1AcgvCA/YeN5/FsqnJeSoIi8UuiN6wAMRizXuHXOgVZikHwOYZ4gMI1WIADQ3se2k8hS/M\nI75XtILAgGOP1UgQmB9DywIQn0sLLQtATQA6d7ZnmgH2TCCyAPwHnwtAewgCG8kC4j1e6QPGG726\nOmOB16QkNky/tFS5wRa7VMSCWVHBXpUaEFcsAJ7BIzf1AcDqGR7OfkfeUMr9RlrHMQtxAytuHO64\nwzFLRY5//MM+hYiaC6iuTn4yO8DRDaSVmSP9DDCWBgqoB0PlzqWFlgUglzrKuf56x/e80+YJAVBL\nAyULQBmfC4D4weI97dBQ36WBygWB1bKApLndSlMbA/ZGz6gLiC+GoSQA3LSWBiPFc73L0a+f/nJw\nuNiouW54HEDO/2/kOGagJADcFaQXtTRQNStGKgBKLiB+LMB9C4CvgyztaLgSA+AdIt4JEgvA+PHO\nq8aJefddx3W6yQLwPzy2IIxepEPsee9ZTxaQnsng9OCOBWC0N1hXZ6zMFgtr+P/v/7QtgIYG+xTS\nHKU5kAD5RVa04OdSa/TEqaBK6Z16jmMGUheQ3KhfPWhZAHoEQM0FJO5giBssI0FgXh5poFt6XCMC\nANjjdJGRjnXPzVXfLybGMWmBx7OqqpzXtXAXLQEwGvsIFPzKApA+WHzEoJIFAPhfDEBpbnvANQEA\n2GClgweVBy1x01oqll9+aV8nWY4hQ+wDh/TSUSwAo4iTFaQxAC3R5+45PWsCA64HgXl5lPZxVQDE\nmXritGejJCaygWNyazC4i5oLKDiY/YkXcSIYPhcA8XJ7UgGoqWHv5dLMeJaGpwXAaAxAq2fsigAM\nGsSWuFQKWPJ5faQLv1xzjXZPy2iPiGccqfV69QqA1nHMwCwBEDeC7lgARl1ARi2AoCB5S4Mf15We\nsFj8pDEAI/AJ9pRmYHUHNQsAoDiAEi43n++++y4GDx6M4OBgHDlyxOG7FStWYMCAAUhPT8euXbvU\nCxDEGtmmJucHq7JSfpg5YP/cbBeQOzEAvb1Bo2UeM4a9Xn21/Pfx8axnpTQs30z4uASlMQmAPf1R\nLgXUyHHMQNybNtMFJI4B6BUAPeMA+GfiGIBRC6Cx0VwLgHd4eNDcSOxETEIC6/3//LPyHEyuIk4D\nVRI/igM443LzOXToUGzevBk3SpzMBQUF2LRpEwoKCpCbm4v58+fDquFn4DeY3AAbbwqAXgvAHReQ\n0XEAADB9Ogvoyo3oBbwrAN27M2GWW2eYwy0AuVHARo5jBtLG1B0LwJUYgHj1Or6+r7R8ZgeBlSwA\nubmA9MDr7k7vH2C9fk8JAFkAruFy85meno60tDSnz7ds2YKZM2ciNDQUKSkp6N+/Pw4dOqR6LLkb\njN+gSo0Dd23wIfPuYDQGoOQCApSzlgD750YnwbJY2MpNSnTvzvKtvSUA588rzzEE6HMB6TmOGXgj\nBlBZqbxMI3fPKQVmlYLAvMxG00A9EQOQ66C5gictAC0BIAtAHtNjAGVlZUgWJZgnJyejtLRUdR9X\nLADei66qcrfErsUAxG4FvY0Bd3WYOX8RL0+nTmzUqid70wBrrCsrlacBBuxZQGouID3HMQMzs4Ck\n2Wqc6mr9AqBUPmkQ2FULQCsG4K4F4Or1A4AePYDCQlYnT40EVhI/sgDkUfXmZWVloYKPJhKxfPly\nTJo0SfdJLAp3W3Z2NgBmIu/dm4m4uEzdAsCprNRdDE3UFoVXsgAuXbIHtLg7QK0xAMwXAIBdp4IC\ntjKSJ+E994gI5YY7KooF8FtblR90sQXgLQHwlAsIULZi4uLYmrt6XBNiF6M7aaCeigG4awGkpLDe\n/4AB5qdjdmQLIC8vD3l5eR45tqoA7N692/ABk5KSUFxcbHtfUlKCJIUEdi4AW7ey1X5OntRvAXDO\nnTNcRCeMzgWkFgMAfCcA33wD3Huv+ccWwxvuyEjlRi8mhgV3W1uVA7z8ONLMJbPxlgCo/eZHjypb\nH1rjAFwNApuZBcStH3cFIDSUPV9KM7C6g1oaKNC+LYDMzExkZmba3i9btsy0Y5vSFAmiu3fy5MnY\nuHEjmpubUVRUhMLCQowePVp1f+5flXuwtG6Wn35yp+T2c5kRA/ClAPTvz6aL8MTDJYYHb9V67nwK\n6+pqbQForzEAcRYQoG4BVFaqN0zSXrkZA8HULABxufUg93y6SlkZ8N577h1Djo5sAXgSl0cCb968\nGb/97W9x/vx53HbbbRg5ciR27tyJjIwMTJ8+HRkZGQgJCcGaNWsUXUAcuSAwb3DV1gFdutRxnVFX\n0RMDED+gammggG8EYOBAx1dPwVdyKihQnk46Jgb47jt1C6BnT2axxMS451fWwlMxACMWgFoMICiI\nXU8+/TPg3kAwtRiAnLtJD2ZZAIDnkhQ6sgXgSVwWgKlTp2Lq1Kmy3y1duhRLly7VfSy5HkavXsD6\n9eqLuT/3nJESK6M2FQS3APh2gPKCMBxfCMCjj7KJuTw5qhZg1yA6msU6lHq9fCH71lblgWg8C8ST\nvX/APAtAPKJXHNzWawGoiQ+/nzydBupqL9hMC8BTqM2CCpAFoITP5wIC7FMMi0fRhoSwtUq9gZ4Y\ngL+7gKKjgdtuM/+4clxxhXod9MQALBZmBYwc6ZkycqS9aXdiAHyq75oa5+C2UlpjYiKbylvt3FIB\ncGc2UK0gsCu94LAw+7gOTy3d6S40DsA1/EIAoqLs08R6Oo9dDq0YgFEXkFIdeCPhCQHwJu+95+iy\nkKJHAAAW9DfSuLmCuDF1xwXELR9+n3IB4ElySgPBYmKYi6ekRF0AxK5Mdy0ANT94U5PxDBw+i6fS\n1Oz+gB4XEFkAzvhFUyT3YHkTNQGwWJwnkhK7gMS50TwjSakO3B1y4YJ5ZfcFISHqrgA9QWCA9SZd\nnVZAL2a5gAD2u/KALu8Jnz6tvV9SElsZyxUXkKtzAalZAK4IgKfm8TcLPUFgsgCc8QsB4HnjNTW+\nucHUBACwxwH4gyNNCeQP9vffa59r+HDgssvMKbe/0r07m/DL0ymeejBTAKKiWE5/VJT9Xvj734ET\nJ9T3Cwlh7hOlc3fq5Dii3d3ZQNViAGKh0Ut7EACyAFzDbwTAlzeY2mRwgH1heA5f8Uo6XfWLLwIH\nDqifKz+/4wtA167sYWtp8WyGjx7Eg5/ccQEBzAIoLna08Pr2ZQOb1AgOtq/VIId4kRr+3hMDwbgY\nGhUAX1voeuDTxyvFTMgCkMcvYgDiG6w9WABBQUwE+Hz23P+rtMB4oGJk6UFPwWebbW421wIwQkiI\nfd1gOaQC4O5AsKYm+TmY3HEBcevcX+9xXm++mqAUsgDk8QsBEFsA/hYDAJwtAMC+DKOnFzRpr/z7\n35737+uF93zNiAFILQA9BAc7TiAnVz4xZswFJBd76cgxALXxDwBZAEr4xSPq6xgAR68FALBGv6qK\nuY187ebwR+bM8XUJ7HABUGsg9BAVxUaeG71HuQtIKSAuzSJzdzZQrakgOqIAqNUbIAtACYoBQH0g\nGKBsAZSXs1ezJ7YizEXP+gR6iI5m6zK4YgHU1KivEyHGjIFggZYFRBaAa/iFAERHswfEV3nGagPB\nAGULgAsA4d/wVbnU1ifQQ3w8cPy48bEqISHs/lZbNAYwJwisNR201doxBcBiYYkZZAEYwy8EoHt3\nlkoXGekbv7GrMQASgPYBX5WrocG99Yf5Mhei5S50odcCkAaB+dQGcvekElouIFeIiGDW0/nz/p0F\ndPGieqCdp24TdvxCAHiuuNIUCp7GaBYQwB6KsjLPLmhOmAO3ANSW69RDSgp77dvX2H5cALQsAA4X\nAH4/Ghk5rjYbKL9/xYMa9RAczJ7Nn382fzF3swgK0l6O9eJF75apPeAXAsBvTLXpBTx9flcsgLIy\nsgDaA2a5gC6/nFmrv/iFsf2Cg5n7RK8LiE++5krQWisYCrj2nPHnwog14k30rMfd0ODdMrUH/CIL\nCADGj/f8xGBK6B0IJo0BfPed//aICDvcBSSebNAVQkJcW4AoJIQ1ynqDwHygoStB66Ag9aU4XZ0U\nzR/GdKihxwIgAXDGbwRg507fZdPocQFJ/YdRUWyCL08vwEK4j1kWgKsEB7NXvRaAnjWVleA9YaX9\nwsJcE4Ddu9ncTv4KX45Vqd48E4xwxG8EwJeplHpdQOIyJiSwQUFkAfg/ERFszIbF4vnZR+XgAqA3\nCMz91a5YAFoCEB7uWkPuryOAOUFB7BkmC8AYfhED8DV6g8BievRwfCX8l65d2eR0vuj9A/otAI54\n3IIrFoCapeOvC7q4i1g85SABkIcEAK7FAHgqoMJ694QfERHBBMBXGVv8ntJrAbjjAgoKcpyuWgoJ\nACGGBADs5uHT8fLemhg5C2DECPZ6ww2eLRvhPu3VAnAlZiEWETk6qgDwVFlKAzWGywLw+OOPY9Cg\nQRg+fDjuuOMO1NTU2L5bsWIFBgwYgPT0dOzatcuUgnoSi0V9wI2cBRAayqwGsgD8n4gIlsPuKwtA\nKwYgDQLz3P+aGtdcQIB6DKAjQhaAa7gsAOPGjcOxY8dw9OhRpKWlYcWKFQCAgoICbNq0CQUFBcjN\nzcX8+fNhtVpNK7CnUPL/A/IWANF+4NM4+2rMBm94lHLz+UBIcQcjPJylnLoqAIEWA+AWgJrwkQA4\n47IAZGVlIeh/V/2qq65CSUkJAGDLli2YOXMmQkNDkZKSgv79++PQoUPmlNZDuGIBEO2H+HiWBaS0\ncLunqapS/15ubqGuXZkAGHUB8Xx9JbHpqAKgJXw8+4vmA3LElBjAG2+8gQkTJgAAysrKkCyaLCU5\nORmlpaVmnMZjWCzKE8EBZAG0d3jDb3QSN7OorFT/njfK4oXhw8PZ3DtGLQC+VrVSZyVQBYB/R1aA\nI6rjALKyslBRUeH0+fLlyzFp0iQAwHPPPYdOnTph1qxZisexKNyN2dnZtv8zMzORmZmpo8jmo8cC\naG0lC6C9wlN1fTVm49gx7W3WrwfS0uzvuQD07GnsXFoTnnXUGAB3AanFefgiTkrrMvgreXl5yMvL\n88ixVQVg9+7dqjuvW7cOO3bswCeffGL7LCkpCcXFxbb3JSUlSFKIlIoFwJdoCYC/rGxFuAb3sftq\nMNO2bdpz6Myc6fjeVReQlgB0dAuge3flbeLimDXWp493ymQW0s7xsmXLTDu2yy6g3NxcvPDCC9iy\nZQu6iOZgnTx5MjZu3Ijm5mYUFRWhsLAQo0ePNqWwnkKPBcC3I9onVVXA1Km+OffNNwM33WRsn/Bw\nlrlktMceqALALQA1N198vGtzOXVkXO7bLliwAM3NzcjKygIAXHPNNVizZg0yMjIwffp0ZGRkICQk\nBGvWrFF0AfkLXADUYgBE+6a9mf3R0cAXXxiff19LAHw1FsJbqFkAJADOuNy0FRYWKn63dOlSLF26\n1NVDex0eBCYLgPAXundnI3rVGjQlunVT/q69CaFeiorYq5rA/fa3vksE8Feobwv9MQASAMJb8LgF\nfzWC2sJKrhyvPTB9urZv/+qrvVOW9gRNBQH7KkpKAuCLGSSJwMad1NVAFIC4OOC223xdivYHCQDs\nC0qrrSfKtyMIbzBwIHs1uvwkoN4Tvu464PHHXSsT0fEgAYB9GT0lAVD6nCA8xfjxbPyAkfWAAWD0\naGDBAuXvIyKA5593r2xEx4FiAP9DbR1VsgAIbxMUBGRkGN/v4EHzy0J0XMgCAFkABEEEJiQAsMcA\nyAIgCCKQIAGAPQuILACCIAIJEgDYe/ZaAkAWAEEQHQkSANgbdi0XEEEQREeCBABkARAEEZiQAIAs\nAIIgAhMSAJAFQBBEYEICALIACIIITEgAQBYAQRCBCQkAyAIgCCIwIQEAWQAEQQQmJAAiyAIgCCKQ\ncFkAnnrqKQwfPhwjRozA2LFjUVxcbPtuxYoVGDBgANLT07Fr1y5TCupJtCwAEgCCIDoiLgvAE088\ngaNHjyI/Px9TpkzBsmXLAAAFBQXYtGkTCgoKkJubi/nz58NqtZpWYE+gFQPgc7I3N3unPARBEN7A\nZQGIjIy0/V9fX4/u/1u9esuWLZg5cyZCQ0ORkpKC/v3749ChQ+6X1INwAQgLU9/u4kXPl4UgCMJb\nuLUgzJNPPom33noLYWFhtka+rKwMV4tWX05OTkZpaal7pfQwXACio9W3q6vzfFkIgiC8haoFkJWV\nhaFDhzr9bdu2DQDw3HPP4cyZM5g3bx4WLlyoeByLn6fP6BWA2lrPl4UgCMJbqFoAu3fv1nWQWbNm\nYcKECQCApKQkh4BwSUkJkpKSZPfLzs62/Z+ZmYnMzExd5zMbLgBRUerbkQAQBOFt8vLykJeX55Fj\nWwRBEFzZsbCwEAMGDAAA/PWvf8WhQ4fw1ltvoaCgALNmzcKhQ4dQWlqKm2++GSdPnnSyAiwWC1w8\ntemsXw/ccw9gtSrn+lsswLx5wBtveLdsBEEQYsxsO12OASxZsgQ//PADgoODkZqain/84x8AgIyM\nDEyfPh0ZGRkICQnBmjVr/N4FVF7OXtWK+c9/Atdf753yEARBeAOXLQC3T+xHFsDTTwPPPgv4SXEI\ngiAUMbPtJAEAS+88dw7o29fXJSEIglCHBIAgCCJAMbPtpLmACIIgAhQSAIIgiACFBIAgCCJAIQEg\nCIIIUEgACIIgAhQSAIIgiACFBIAgCCJAIQEgCIIIUEgACIIgAhQSAIIgiACFBIAgCCJAIQEgCIII\nUEgACIIgAhQSAIIgiACFBIAgCCJAIQEgCIIIUEgACIIgAhS3BeCll15CUFAQqqqqbJ+tWLECAwYM\nQHp6Onbt2uXuKQiCIAgP4JYAFBcXY/fu3egrWky3oKAAmzZtQkFBAXJzczF//nxYrVa3C9reyMvL\n83URPArVr33TkevXketmNm4JwO9+9zs8//zzDp9t2bIFM2fORGhoKFJSUtC/f38cOnTIrUK2Rzr6\nTUj1a9905Pp15LqZjcsCsGXLFiQnJ2PYsGEOn5eVlSE5Odn2Pjk5GaWlpa6XkCAIgvAIIWpfZmVl\noaKiwunz5557DitWrHDw76utUm+xWNwoIkEQBOERBBf49ttvhYSEBCElJUVISUkRQkJChL59+woV\nFRXCihUrhBUrVti2HT9+vHDgwAGnY6SmpgoA6I/+6I/+6M/AX2pqqivNtiwWQVDpuuukX79++Oqr\nrxAbG4uCggLMmjULhw4dQmlpKW6++WacPHmSrACCIAg/Q9UFpBdx456RkYHp06cjIyMDISEhWLNm\nDTX+BEEQfogpFgBBEATR/vDJSODc3Fykp6djwIABWLVqlS+K4BbFxcUYM2YMBg8ejCFDhmD16tUA\ngKqqKmRlZSEtLQ3jxo1DdXW1bZ/2ODiura0NI0eOxKRJkwB0rPpVV1fjzjvvxKBBg5CRkYGDBw92\nqPqtWLECgwcPxtChQzFr1iw0NTW16/r96le/QmJiIoYOHWr7zJX6fPXVVxg6dCgGDBiARx991Kt1\nUEKubo8//jgGDRqE4cOH44477kBNTY3tO1PrZlo0QSetra1CamqqUFRUJDQ3NwvDhw8XCgoKvF0M\ntygvLxe+/vprQRAEoa6uTkhLSxMKCgqExx9/XFi1apUgCIKwcuVKYdGiRYIgCMKxY8eE4cOHC83N\nzUJRUZGQmpoqtLW1+az8ennppZeEWbNmCZMmTRIEQehQ9bv33nuFtWvXCoIgCC0tLUJ1dXWHqV9R\nUZHQr18/obGxURAEQZg+fbqwbt26dl2/zz77TDhy5IgwZMgQ22dG6mO1WgVBEIQrr7xSOHjwoCAI\ngnDrrbcKO3fu9HJNnJGr265du2y/waJFizxWN68LwJdffimMHz/e9l6aNdQeuf3224Xdu3cLAwcO\nFCoqKgRBYCIxcOBAQRAEYfny5cLKlStt248fP17Yv3+/T8qql+LiYmHs2LHCnj17hIkTJwqCIHSY\n+lVXVwv9+vVz+ryj1K+yslJIS0sTqqqqhJaWFmHixInCrl272n39ioqKHBpJo/UpKysT0tPTbZ9v\n2LBBeOCBB7xUenWkdRPz3//+V7jnnnsEQTC/bl53AZWWlqJ379629+19oNipU6fw9ddf46qrrsLZ\ns2eRmJgIAEhMTMTZs2cBtM/BcY899hheeOEFBAXZb5GOUr+ioiLEx8dj3rx5uPzyy/Gb3/wGDQ0N\nHaZ+sbGx+P3vf48+ffqgV69e6NatG7KysjpM/ThG6yP9PCkpqV3U84033sCECRMAmF83rwtAR8oI\nqq+vx7Rp0/DKK68gMjLS4TuLxaJaV3++Dtu3b0dCQgJGjhypOMCvPdevtbUVR44cwfz583HkyBF0\n7doVK1eudNimPdfvxx9/xF/+8hecOnUKZWVlqK+vx9tvv+2wTXuunxxa9WmvPPfcc+jUqRNmzZrl\nkeN7XQCSkpJQXFxse19cXOygXO2FlpYWTJs2DXPmzMGUKVMAsF4IHzldXl6OhIQEAM51LikpQVJS\nkvcLrZMvv/wSW7duRb9+/TBz5kzs2bMHc+bM6TD1S05ORnJyMq688koAwJ133okjR46gR48eHaJ+\nhw8fxrXXXou4uDiEhITgjjvuwP79+ztM/ThG7sfk5GQkJSWhpKTE4XN/rue6deuwY8cO/Oc//7F9\nZnbdvC4Ao0aNQmFhIU6dOoXm5mZs2rQJkydP9nYx3EIQBNx3333IyMjAwoULbZ9PnjwZOTk5AICc\nnBybMEyePBkbN25Ec3MzioqKUFhYiNGjR/uk7HpYvnw5iouLUVRUhI0bN+IXv/gF3nrrrQ5Tvx49\neqB37944ceIEAODjjz/G4MGDMWnSpA5Rv/T0dBw4cACXLl2CIAj4+OOPkZGR0WHqxzF6P/bo0QNR\nUVE4ePAgBEHAW2+9ZdvH38jNzcULL7yALVu2oEuXLrbPTa+b62EL19mxY4eQlpYmpKamCsuXL/dF\nEdzi888/FywWizB8+HBhxIgRwogRI4SdO3cKlZWVwtixY4UBAwYIWVlZwoULF2z7PPfcc0Jqaqow\ncOBAITc314elN0ZeXp4tC6gj1S8/P18YNWqUMGzYMGHq1KlCdXV1h6rfqlWrhIyMDGHIkCHCvffe\nKzQ3N7fr+s2YMUPo2bOnEBoaKiQnJwtvvPGGS/U5fPiwMGTIECE1NVVYsGCBL6rihLRua9euFfr3\n7y/06dPH1r489NBDtu3NrBsNBCMIgghQaElIgiCIAIUEgCAIIkAhASAIgghQSAAIgiACFBIAgiCI\nAIUEgCAIIkAhASAIgghQSAAIgiAClP8PeUGdPY5sqswAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10d84aad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rqiPy6t1bXYe1pbU1fCewbpM59ljg9dfVdNasAYYMyfxOVAgybNkiPwXreM2f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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10cd7b5d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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IInr1Upe32Ro61G5L1U4T47K1m9s2tZPiH0d5efCXa8vFxR39o2ioFNYvMnqd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\nf2yvQHDJo+cIs/qSXzQWVx6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8fsGIE832EJOLRs/3AkzsLi5bYdott52DwspM7Yozj95W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\n1ej5MlXF7ii2bBq9yGa5fQqjp6wmwrAyU/Aw6ea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"text": [
"<matplotlib.figure.Figure at 0x10d4957d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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JCJBfyBQmJ3CQJCDZhWBuRBMpeANFACElADecwKlKAKkqAclaAFYGVJ4E5IYF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\nAksAtMP16MG/5u233emYO3eaX3PypDshcDt2mF9z4gSQnW0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"text": [
"<matplotlib.figure.Figure at 0x10cade310>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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L4I7BVAabvWnqz2Szb3tSJmN95wxc0omMvnRRcEZvWwa2d28ybG5o0DvAEJOo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\nx5YXZaKpQ4fkobOt5tFNxtbVqZ0ZJV0ezzbasdVx+/aJLaY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"text": [
"<matplotlib.figure.Figure at 0x10ccdf250>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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p2zwgQiaOXjex409olxw95YY2RTQiH92k5ptuFHmoesf5yG4YVz6myMjmoWJj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\n",
"text": [
"<matplotlib.figure.Figure at 0x10cd0b450>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qnyINb49czjSmqrkjeo0hc5A6NrFkHotPQj5Kquh9BCe6ayaLmcJHR0NxH+UY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\n0IduXOeOj6x46Mh2/j3Um3CdF6bEtK5PurpEpal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"text": [
"<matplotlib.figure.Figure at 0x10cc9dc50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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k092WCB5LV5VpbzbXyWHMzOR9uEaPjDh53SorG6ahITAyz0AQGapptdbJsdVR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\nJV5/KlsdPJjargzOxNNhc5UcG0v3TL4t2r2TV12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"text": [
"<matplotlib.figure.Figure at 0x10d850490>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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d1o1LcCVpj97EVavk8C6YvCdVXap6dHWbPPE05XDwQ9/EhwHXwY4d6jJA605k\n0zU7dgB9+th1bpNbU6OvQ4Q4dyjt080d03hRPfrOne1jU1PjHly3HZuQlEfPqTNVQNnWr86d9XXJ\nDx/+nY8eZFB0HpCgof/KV76CJUuWKH9zuemTMPRxPHqbJyR/r+PW+TI0LkcfR46Loecw3TCUjCiq\nobdlWvGguO0gMTE3m9I+E2VgWoVQPPoBA+zjVyhD7+PR87bLgWr5Oxk7dkR9p94z/DsfPWQy7ll6\nAQXaGVtoQx+Hoxd/05UBWieb7EGLk1BHB/CgnCpbxoW6sckx3TDyw4Di0fPfkvboVXK5/nRZLLxv\nYiYHpX06nZuom2w28nwzGbOxtRl6qkfvSsUl5dGbxs/WryQMPWDXg5iRZGtzQCuKauhVwZVie/Ti\nb7oyqrrKyqI/0QM13dDyhDXd0EnJ4TA9VGy54gMH2q/p3dtt+b1zZ8Spq+Tq6uIxHJEtpLRPp3Pb\nCqhDB7UhFeWaUn55+7p3j+pSZdi4BOnlun0NvejRq8aP4tHzlNUkqBvKSlTeSW/TeUA79ehFA1gI\n6kYVD7BtdFIZaNesGxc51GtMB1Tt2xcZcds13bq5UTcqufx3XV2qzUGU9rlmezDW+sIQm6Hv2dM+\nNlVV7h59oagb0/jZ+qUKcIvtU33nmnWjmu8UnQeUiKEXJ/b+/dEEMCnOdg01GGuSo5Mt59GbaCId\nfcLL6DY6UfPobXJ8grG2cbcZs/37o5xzl4e7SS5VD9T2cQMjX6MbY559VVYWGUVTe2pq7GPTuXPy\nHP3+/a2GXq5f1x4+buIuXNX4UeeFqe86XbnoAVBTNxSdB5SAoZdTGNOgblw4et9gLK9L7GuxqRsT\nR+/j0VONmc3Qy3EFHwOjeyiY2sdYpL/u3emepKhfm0dPNfS2dFn5uzQ8ep5VJt5/pvGjzItCefTy\n3LGNe0AJGHrxYC8gUjw3FD5BVCDfy9bdQM3N+rQ512CsXJdto5NsoH03TFHliDAFY+N49NyQ2gy9\ni1eWpEfPHzIqnZsC3ry9SRl624O7EMFYFW/OveyGhvxsJ12/mptbX8ziytHzBy4lgQEIHn0cFD0Y\nK09sno9sOi8liWDswYNRHXL+bxyPXqZLkrqhkzYMaXn04i5O15tVlpuGR28yiDqqKw2P3mWF5huM\ndZ3HvH1VVVEmjizHNKYdO9Ly6OXvunaNxlYMTFMox+DRu6Mghj6bVW+hbmrKPybVdDOK13TvHhlr\nlVwKR2/DQgMNAAAgAElEQVSrhzpp43D0qu98OHqdHJ+sG5O3TuFiO3VKdvmdpEev07kpf9vFo6fE\nlkzjo9KnL3Uj/qYrA+SPH3d+qFy/GB9w9ehVD6fA0aeDghh6k7ek8ugpE6eqSn/+B4WjN930okej\nKsevU9VFzbqRKStfj94kh8LRyy9zMHnrHTpEtIzppu/cuZX31W3ykh/uSXL0PoYeMPPmVI+e0x66\ncfelbmRdUfpFnceq9omGnqIHvgJ39ehVurAdRSHP92DoaSiIoTdNbJVHb5o4jOlpFw4KR88nmkqG\nyzLUVJeN901iw5SLHA6Tl2jqNzcCumv4TQ+4GTOemhgnVsK/swUFdX2geNkU58NGOdoMvXw/UD16\n1T3jcyyBbnzizAuToZfLmfqpo3pNOg+IUHRDrwrGmjx6zgPzdDfVNRSO3lSPi3di4uhtKxmVHE7d\niJPZR46roXfx3GzXAG48dLE9+qSybnS0h9g+V44+TjDW1ctW6ThJj55K3SQVyA9oRVENve4JbePO\n+SYP3TVxOHrG3CatjqOn8r7yd5lM6w5bXkfSHL3JeNhuaJMh494dbzOVh/bJ9kiSo+ftjcvRJ2Xo\nXVdoOqNZWRnRParzgnQcvU7HSVI3jLWesy+Xo3D0rnsnAkrAoxeXqjzlsbxczy8eONC6yUN3DZWj\nr6xs/V28xtejp1I3pmwZlRzfrBvbDZO0ofelbnyyPeTvKcFirnP+Wj5uAKkevY3zrqyMZ+jjBGP5\nO4DF9pneZpU0R+8S1zp4sNWpkXXu4tHzdN6QdWNH0Q29qLjGxlYjXlGhDj5RrhHl6urmcjKZXDmi\nJ6SCHLw01eW6RE9STlrUTRKGXhWMVcnOZOgefWNjZNhMwWJR564PZX6NaV7ENfS++uR1y/PY1Gb5\nOrF9Ph69bWxU7VW1j/dTl6Unjg8/379Ll2DobSgJQy8aTW4ETEbcdg0lGNvYqJdjmrSyLB1N5LvR\nSWwzHxfTefQ6Obq6GdNTNxQjlZZHr/IkbXW5ts+kc8oY2+ZFRUXy1A31wV1Rkd8+2YmRy+jaJ+uh\nqiqeoZedCdM9XFYWtVtFN8nUDUXnAREKYugp3hIQKdx2U1GuMQVIVXX7ePSqumS6REefqILQcpt5\nOe59usrR9Vs8u0XUC8WwUjhoHj+h6lwsJwd6KYZevOlFntrmEco6p4yxzWstL7cHq0159KrVDq/f\nlHbI6/bx6FXtk8edonNXj16nB8CsC3HuyPNGpfOACCUVjDV5XByUa9L06OVJaarLJQidhJzm5tZg\nLoVzVnn0tjQ6W/zCJxirStHjniQ1VsJlmHhpm859PXrGWmVTxpCiG7l+G3Xj6tGrqBuVjrkDYOuT\nyz1j0oOKVuOQ57s4nvIO24BcFJ26ET0YcQLovGqKoacEY+Mael1dcbj1uHIo/TY9UIpB3fAAvIr2\ncPXoed26ciadU4wvD+LK4C+AKStLJhjrSt3wfqna5+rRq3RM6ZOrR2+6h1V9ZSzfSaDoPCBC0Q29\nTN2IE0B1U1Gu8fHouRxO3ajk8nK6uorN0VMPc1Ndw3dS6vrd0JCbsWK6xla/+HDnZTKZXNmU9ujq\n1rXRpHOKriirTF3dzc1271xH3fh49CJ1oxsL+bV8Kh1T54WuHl6Xqr1y+0zznVOO4otmKDoPiFAS\nht6XutF5/SbvmCLHxtF36KA/AoHK0as8N5UcG0cve8e2fusMPdDaL9MKyPYQ5GPqo3NXPQB6OTZD\nL8uOw9G7rERN1IQp60a1kU6WraJBKCtj+Tt5/Gx64GVs11B0rpvvoh5cdB4QoSQMvfg56awbnTes\ne6jYgrGy1xWHW6e2mSpH/CxvuhLbr/PobYaBe3umG5ri0curOJVX5rqykuW40n5xPHpxTpgeMtSx\nUTkAmYz6wDuxfpdgLC8j1qXSMUUPcmqnri7VZyp1I24olOsGzPMyoASDsUln3VAi+FSOvrk5+tN5\n9C6vEjRl3VCpG1mO+FlnGExePw/eqW5qfvSEaYnOr1HJ5pB1LpaRZdtoIoAmh8OWdWMbY+qcNI0f\n4ObRU2lIOesGsAdjZY9ep2ObHngZcc6q6rLd56b5rrpnKDoPiFB0j14XjC1W1o3JoxeX35S6ksi6\ncclCkD18k2ek+93Wd8oNbeo7NQDvmuYaN5CfJEdvu8ZlpWei2mTZLh4994Zlj16mYUQ9mHTOHQvb\nvSZ/pmbdiGNDoYACclF0Q28KxvoaeleOnurRq7ygOBx90nJkr0fVdxN1A5iDd6qdxKprdHWr2qyj\nblSf5brEYKJJjlhG93BPiqO3jR9Ap27EzW2mciaO3mUui9SN2IcOHSIqUBe7oe5mt8XiTHn0IoWl\nqjtw9GaUhKFPOo9eNCZJcvRiGdsRCDY6wOS58TaLE58a4xA/65bAOg9RznwRQVkmu9ATNsrFxg2L\nGRfU9tke7rYxpnr0ccZGNL7i5jZTuaQ8ehV1Y3MA5HGnPFR8PHpRDy50XUCEkjD0HHGX3xymtz5R\n5NgmrI66cQ2iUqkbW3qlibpReUYmj54y7nHoCRedd+xopm50XqLP3KGksPpk86iucXlw21Zoomy5\nfT4evUzdcDlx7keqR8+h0oUuGBuoGxpKKhibVNZNWtSN7HHZ6qLe0Iy1em9x5FCpG59gLMVrdeGh\nbSlylGwPE9fvQ934BmPlOek7NvJqhxJzEetXtc/WZpEmUj0wRAfAdZUk16X6rKNuKMFYis4DIhTd\no5dv1iSybtIMxsrLxyTOo89mc/lHXs529ocpvVLXd1twT9d3kSoxLeN9N0xxuWLdJi+NlxOX8bb2\nmeZORYV9jClzkjJ+vlScaS6Xl7tTN7Lx5Vy8PH6mlYFJf3L7VJ911I2sC1UwlqLzgAhFN/SmYKyv\nZyk+/SmHmlGDgCrqxuQh23hfVYqm3GbKBhuKHA5Vrr2Yb19oesKkT0r+tkv7xIeMLJuvpuRTE12D\nsUmsdsS6qYZe5dGbYi62FZH8wKDOC1MgmrrRyeTRB+rGD7EN/YYNG3Dqqafi6KOPxpgxY7Bo0aK8\nawodjI3D0bsGY00cvc/RBbzNSckxcfSy90SlbpKkJ3RyqRt1bHJMfZCNme3BSJ2TSY1NHEPvGow1\n9cFlXlBWD3H14KLzgAjl9kvMqKiowO23345x48Zhz549OO644zBx4kSMGjWqtRJPj55yU6lOKUyL\no3fx6F02TOm4dUrWDUWOXEZlPGzBWMq5Ij70hCzXhbrp0sWtfSadiysncaXg49HHoW5UdAqHqhx/\nSPOjjOU+UY2vbvxc5kUSwVhT1o3s0YezbuiI7dH3798f48aNAwB07doVo0aNwubNm3Ou8QnMJenR\nJ8nRy8FY0+rBxvtSsmVMZ934bJgyeYkuwVgf6oYHnQsRjHWZO6ZYSDE9eoo+bX3yMb66rJtCefQ2\nPajkBOrGjEQ5+nXr1uH111/H8ccfn/O9aoJyLlT0WJIy9BSOPo5HD9AOEvPNlqGmabrKUV0jy6be\n0D7GTA462+TyG171tqEkqRvA7kmqyqjkxuHofYKxtj75Gl9qHr3LPZuERy+2KVA3dMSmbjj27NmD\nc889F3fccQe6du2a89vrr8/G5s3Apk1AbW0tamtr8yYxkB8g1Rlx16ybpPLoed2UPHqXY4p1nluc\nY4p1fbfVlSZ1o9K5jrqRD1nr2FFfjtq+xkbz3LFxw6bgv2vWjW3eynJ5OdOYqtpnmsui8TWNnymP\nnkLdqCgpXz20Z+qmrq4OdXV1qchOxNA3NjZi2rRpuPDCCzF16tS83088cTZGjABmzWr9TlR2Gjtj\nKcf1JkHdyHX5HFOs8rLjHlOs63sxqRubznUbfhoa8g29yqPn11CybqiUgatHX+hgrCiXt1NMzTW1\nmb/2UZbjm3UTl6On6kGUw+M07YG64U4wx5w5cxKTHZu6YYzh8ssvx+jRo/Hd735XeY1PulRcQ0/h\n6HVehSt1o6srqSV6kkt932BsEsbMReem9vAzYCjUg6kPVMrAhaOPm3rqGoyVnQ+xjZRziVyybnzv\nRypHz+sy6YFK+wXkIrahf+GFF/DAAw/g6aefxvjx4zF+/HgsX7485xodX2sKrsSZWGmdR8/L8MnG\nWCvvLPczDnVDPeuGKkdEHI9elx3DYaNudClyJspA1R7xptfJ8Zk7tjbH9ehFioPy4HYNxoptdN0w\npRs/ikdPybqhGnpdP3X2wqbzgAixqZuTTz4ZzapomViJxzKeSiHYNkyZPHqdHMoylWeQ8JdxA+o8\ner4ZSU7JpFIuprNufKkbn2CseICUb8BR5ZXp5JoMDC9DkaNrn6ouW/A6TjCWeqhZHOpGbiPn1vfu\nVbe5srL1pd+m8aO8p8DUd9PqwUcPqkPN2gNHnyaKtjOWshRLwqN3DcYylu8VyWV4m23BT93LP1yD\nqLo+FDIYmxR147KK0wUBVRRaUtRN3PTKONSNTzA2SY9eNX4ucpKkbnR6CNSNH4pu6AG1B0Ph303X\nxNkwpTt/W8WJ67xjlwOadHIKuWEKSJ+60a3iTBt1VO3hZVxfK6eLy1B1RZ2TtvFLM+ZC5ejlcqbx\ns+XRm6gbfsSGbqXiowcXui4gQlENvc/ZFT4evStHr5Mte5I2DtX2thzKxpik3zDlG4xNirpR7W7U\n6Vzn0YtlXJbxPkHApI4p9qVuXIOxvI2uG6YoFJqtX6q6XFfuNj240nUBEYpm6NMMxoo3COVQM9Vk\nMxl6PtnkG1FVFyUgapND6QO1PTaPPu0NU9S4jImjl/VAbZ+Y1aLSb5ocPYW6kbNu4gRjgWQ2TIly\nfNIrKTSbqx4obQ7IRUlRN6XA0XPYJq1cj1yXy3ZunZwkjik25SPza0TdFIK6ob4OTmdgxDJJZN24\nHoGgi93wa+JQNzIVF8fQqz7L7bGNX9ysG8pD2VUPgbpxR9ENfVp59L4cvQt1YzOatpxgatZNkkv9\nODtj43r0qmCsbulvao8t68bH+6Rsveev9ZONUFLUjepFPIUKxqrGj8uwnUefpEfveqhZ8OhpKLqh\nB0rrUDOATt1QltYUY2uTQ83SKOShZnENvevOWF091DPO5WtU+qXoymbMKOPHM7HklYFM3cT16CnU\njWr8uEEV2+g7pi4evamflEPNgqHXo6SCsWlk3fhsmNLJlg1VHI7elC3jwtG7yJH7AKg9+jjUjc3Q\nqwLwpqwbHUefRtYNRVe2eUEZP13arS3m4pJ1Y/Po5YeK2D7eD/GBoeqXvEPZNjaq73z0EKgbd5R0\nMDbOhikXjl7lSVKCgCqjSeHoVZSLD0dPlaMqI14jB2N9qJtsttWAyXLFa2SP3rT098268Zk7uvxt\nnSE1ybWNH0Cj9JIIxlI3Mcntk+kbXb9F+tV0zwD0VZxJD4G68UOgbqD2KnyDsRSOPpuly+E7b3k+\nsq8cjjjBWNMDVh4bn7iMSx69iQ5wpRlM+dtpUDe6ulQefaE4evmzOIY2x0euW3WNazDWNWMrUDdm\nFN3Qp5FHLwdjXSkgG0cP6IOxKr5RtZy1bXRyDRRS5Mj95tdQgrE23bh4rID+ZqV49BQv0UZX6IKA\nNl3ZDJ5saFXXAOkZetlAmwy97lgCLkcsZ9OD2HfdNS7BWJ0ewjtj/VAwQ2/ju4F0PHoVF0qRQ/FO\nVIeIydSN6QgE3RJdFayLI0dVhkPUjQsXa0p5lOVy6JbfYnoe9awbmaPXyZHbaNI5ZbxsxqysTG2Q\nxfYB6vGhZN24GluqRy+3T0Xd6PRgqsvFo+eg6EGuP1A3ZhTM0OvyuQuRXul61o1OtnxzqDxo+awb\nCu9rksPHJ64cXRk5HqAz4jIXaxsbk8515ZLMunGZO9Rz0OVyur7b2myqy2V+6eq2UTfig5vi0SdB\n3fB65e989OCi84AIJRWMFY2QePKj7hqqR59UeqW8CqEcC2x7a5Hqc5pyfIKxJnqAg0LdUHhW+aY3\ntceHozfRdZQxts0LW5s5KNSNT7qs2D7dPM5mW/cE6NonH6XgS92oVnE22pT6hqnA0dNREENvMziq\nm17H1dk8en58MJ/EaXj0uiMQ4mTdqOSID7k4clRlOOSz76lLdBt1Y9I5lXLRefRiGTFrxLSMZ8w+\nd9L06OUxNI2PjrpRlfHx6OUyqvaJfaDogVKXLmdfTjSgevSBuqGjqNSN6QkN2CeOzlsRKSHVzcEn\nlu4ME2ow1uZBU71EkxxTP3w9ehNNRPXofakb08NdfMDF9ehtXqzq4e7r0acxPqrPLtQNQJ/Hpj7E\n9ehtuhLbSNFDCMb6oehZN4B+svkYetmQqSgg+SGThkdv+o6SLWOTwx80rnJsdACFi/WlbmwPd9kw\nUbhhaqqdzH+rHu5JefS+6aeybtJKr7QZX7kPSXH0lHJUPchyAnVjRkntjHWdOFzx4qSQbxaehy5e\nY6uH4gmp6hI9EYp3YsqWEekUlRxOT4mv04vD0SdN3Zh0TpFNaY9L1g1lbiXl0VPG0PQgjHNMsa9H\nn3bWjViXTRc2PQTqxh0lFYz18RDka1TGRPYQTDLiHmpWqKwb1YPSN+tGpIl8xlx1jU8wVpbtSz24\n9iGNrBuf8ZFXHXF2xsb16F31kERdFD24ZukFRCipYKwpg0BVTnWN/Luqfl+PXqYeKEtr6nn0rlk3\nqn5S5NiCsUlRN9RgrE025SgKWY6ujGne6OIpPnOSMoZJzQufrBsKbarKuvFZJbne5xQ98BiO+GAM\n1I0ZbToYq7pGtVJw8ehd6qZsmDLx5LYzTUxZNyrvWCXH5qHKqwddvylLdJmaoAZjVbJtHqmYdSOf\ns5OkR+9L3cQZH5ezi2x1u3jZOh3HnRdJePRyMNYUZwvIR0kEYzl8Db3s6aqoG5tHL3Prsly5nI66\nkbNuKH2nUjeqftqoGxtlJl+jGnPVgVe+1IT8cDfJ1hkYXobL8WmfrF/qMRO2eaGr33WfAa/bh7qR\nYy62eaxqH+WBqypDqctGE1H0QNF5QCuKHowF9BNALifnQvNrbB69jbqRZdhy+E1HIFComyQ2TKn6\nmUQwNu2sG1PmhCib2h7VnOjQodXT19Wj0i9FV6Z5IffBdI08PjyPXNzE5BOMFdtHnce2PlCzbnzr\nkvtFCcbaHnABuSh6MNaFulHt6FNx9LZgrIkjTCoY6xLg08kxUTeqfqYZjPWhbqjBWF/KgM8dWYaq\nnBzopFI3SQZjTeOjorWSCMaq5pLOy45DoZmuoXr0LsFYlc5VD5qACCUVjLXdMPLvqmt8PHrZG7Bl\nGVA9etuGKUpapG7DFIWj9wnGJkXduOyMjUMZMJYvQ1XONrfiHIHgQ93oguu6owJUZWx1ZzJqA6jy\nsuNQaKZ+u3D0vC6KR0/ReUArSioY65NR4+PRyxNNnFwmA+PCrVP6HkcOlaN3Dcb67oxVUTeuO2O5\nbJkysBkPlQMgl2tszDeaQG4bfT16VdYNJYahW6G5BGN194zowZvuI5edsXGzbmxttvVT9uhtOg9o\nRckEY3W8WyE8ellOEkcguGyr99kwlTRHL46DbTMU5RpKMNakc9tpmmLWjVy3qpxJ50kfgeAzPhTH\nx4W6AfQZKTov23bWTRLUDTfgqoenix4oOg9oRckEYyn8u+5mpWTdmDx6UQ4lW4F6BIJqwxQ/jqGs\njHYYmW3DFOB2qJktlVN1yFSSWTdi++S0SFm2b9aNqo22ueNyBEIaWTeqB7dPMFaex6o2q8Yi7awb\nkycu69ymh0DduCO2oV++fDlGjhyJI488EgsXLlReQwnGqiaAXE53TRIevUu2gq4uVT91nrjoTcXJ\nunGVYwvGqugSX+rGNXOCy3Y5Htckx2bouY5dPElq1o14jWr1l1YwVp7HgPmhZ6NuuJy4WTe8LoqT\nRTnULFA3bohl6LPZLK655hosX74c7777Lv7whz/gvffey7uOEoyl0DKUa6hZNzY5lGWoXBdlwxQ1\nW0b2ytLKulHRRCraI41jinXLb9mj19VlkyOWs+k8yUPNdLSR+FAuRDCWgxKM1ek4qawbm0Pn6tEH\n6sYNsQz9ypUrccQRR2Do0KGoqKjAjBkz8Mgjj+RdRwnGJmnoKR69LqjrenqlyeNSZRCoPDfVDS1T\nN75ybPSJiiaS+65boutS9mS5ujablt9pZ92orvE9AsFmbFXtoz64bcFYW4xD1R6VR5921g2vK64e\nXOi6gFbEMvSbNm3C4MGDWz4PGjQImzZtyruOEoylZtTYrvE5AkGWQz0jxHQEgq5uCuWiGi9fOS55\n9Bw22kO1e9HnmGITdcPrSSvrBsg3ipSYhjwv+MrOlHVDoSUpD27KfSTPY1WbVasHHXUj0il8PHRl\nTPeMzjkSy7noIVA3bii3X6JHRpwpBsyfPxsHDgCzZwO1tbWora1VLsXSpG6oWTeuHr1YV1lZayBT\nnLS2YLHOy5apGx85FM6ZQt2oxks07iqP3raaoOrBdWesSx9kysDW5ooKYNeu1s+6JAJb3bpgrOuR\nFkl59Cb6SX5g8DY1NgKdO+vrUdWVhB6oOm9rqKurQ11dXSqyYxn6gQMHYsOGDS2fN2zYgEGDBuVd\nN2fObMyfHxl6DkpwhWrobdkL1PRKMSgpy1WVk+viVI1IhcRNi0x7w5QcjOVjIVMPJi4diP7fpYta\nrq7NNrkmykDk6Knts80danol1WmQ2yvC5NHr6nbJugFy9alqs7xhyrQzVvyuU6fWMt27q+vW1eVL\n3cj2gqLztgbuBHPMmTMnMdmxqJsJEybggw8+wLp169DQ0ICHHnoIZ511Vn4lZfq3PAH6J7QuiGS6\nhhKMNckRPXGbd0KpS8fFum50SkoOJRhLoR7ka3yOKTZRN8XIuqEEYylzklJ3UjEX1UoqCY9ezrrh\n35lWKqq65WsoqziKHgJ144ZYHn15eTl+8Ytf4IwzzkA2m8Xll1+OUaNG5V0nerp84lKDsa7eUyE2\nTOmOQBDrErlNW/uKvWFKFYylUje6a/jbr8QXtbtmWpmybiheoit147NhSid3927zNaoHty3rxiUY\ny/vEy6nabDuWQHzgUvrOKSxxzCgPZXlV6XOomdjmgHzEMvQAMGnSJEyaNMleUXnuxJUncdocveqm\nMslRPUCA/MPIOnbU18X5xgMH9O2zHY6W9IYpCu+roh5EWkZ1TWOjnp7g36syJ3TLb1vWjViOsoxv\nakrGk/SZk1TqhpJ1Q+XoTe2Rja8qc0n1wHCh9GRDT6FuXA41a4/UTZooyM5YwDyxVZkLgPpm9cm6\ncfHodQZGrluVdaPqZ1KeeFIbpqjBWB9jZvLUAPeAGvUoCqqTYJo7Kk+yuTn63nZaqm1O2rxYQB1z\noTyUdVk3lLNuxJVpWZn5WAL+ncsqSW4f5T6P69EHQ69GwQy9zVAV0qP3oW7EMrqsG95PCkcvgnJD\n+8qhcvRiv2xcLPUaH527HKZFTdPUXSPrmDLGlDnpMzYq6oby4KZQN7Y22/ogzgvX+9HFo+egePSU\ncQ9oRVE9etcnNIXHj5t1ozvrRi5j8+h127nlMqZ8fCpHn0TWjckDpGa1uGaWxM264X2Pm3VD1ZVY\nxibXh7qR6/KlblT61LXZNn4+88JUF2U1TVmJBurGDQU19Kbgk255S1kCJ+HRi3JMZ3jz33V1yemV\nJi/RdDia7GWnlXWjC8YmRd3oYiM26sZlP4Ovk6DSuc2jp8xJat2msZG/U5VRyZb7ZGqPy0Fj/DvK\n/oC4ddliJYG6cUdJePQAzVt35QQ5kuDoVWVUddk4eornptph6ytH5dHbaKKkqBudzqk7WjlfKx5v\nK5ezHY5map+sY8oYJ0Xd6OIXSR1T7JJeaeqDa9qtT13yfR43NTcgHyUTjE2Ko0/rCAQqdSPTLnLd\nvtSNSY7ptEPbVnJqMDYp6oZyMJVoqHS6oBxqRp07VF25ypXbK8IUjOWgPJQpHD3Fy7ZRaNR++awe\nePuoRyDY5k5APkomGJtU1o1uuU311ChZNybqRqZdTMZOJ0fcdyDerBQP0DVLQxWMpdAylGtsOtfJ\n1W29V9VFPdSMku1h0pWvXF0/KRumfGIuFI9erotyuBz/TvSYfcbdRw+8nJxeGagbOkqeuknCo09i\nw5SqDKUun/TKpOSo0gWB3HRBlUefNnVjkysbGF1dSWfdUIOxaVE3ctZNHOoGiMfRJ511A8Q7vZJ6\nqFmgbtQoejAWSDbrxjcYK8uxxQdsRyBQz6M3yRHrN8mhbpjSxRQowVhf6samc1fKQJ4r1GW8Secu\n7w7wiRu5jo3uOxW1BOTnv8tG0tRmKoVG7ZeurqQ2TFHaHJCPonv0SWfd+Hr0Kp5QV7fpCASZujF5\niZSjFGyHmrnkXVMeKEBy1I1N5zbqRlUX7wM/YoHaPtvcoR5A55N147OZjH9n8ugp81jVHtn42sZP\nl3Wj61ccj55vUGMs93WWVNovGHo12l0wNo5H70Ld6DzxJDZM8XJUj173HdWjV1E3Ns+Nco1PMFZH\n3fC65DI2OWL7XD1JCkdvop/Ea6h59KaYi3gMNqVPlHRZXz3o+uVDE6lWD7YVLEXnAa0omWAshU4p\nBEdPSa+kePRxNkypyiWxYcpWj4vnRrnGNxhr8iTFMi4rA8rDPSmOPs7YiJC/k4/BVtUtHizGYcu6\nSSIoLpZz9ejlVTAQP5AfkIuiUzccbc2j19WVxIYp3maRutHJcdkwRfXok+TobTrXvfdT1x6qR+8z\nd5Ly6OOOjY66kcup6ub1NzTE8+h1HL3pXcKmulw2t/F+mnQROHo3tItgbKE9et7mtA414+XE8bLJ\n4ef9ixk1lA1AqmCs6qx52zJZt83fpHObXFV7xDKmkwx9qJsks258x8aUdSOXMxl6sX4KR++qB105\nH49e9VCxrWApOg9oRdE5+iQONUs664Z79LqHA+UIhEJn3WSz+R4+xUPVBWOToG5sOvfJ35bLmPLA\nKdSNqPMks258x0aETV82Qy969KY2m8bPdtYNlW51PW5B1IV4jwTqxg9FN/SAmbuzGXr5GpUX5JJ1\n43heX1wAACAASURBVFK3bWmt4n3FMqbNYrasG9kDpPTbZDhKaWesiRsWy8TdGSvrmLoCSou6saXL\nyuV0hl5uYxzqBjCfdaPql2l8qNSNqAv5uOiQXumOogZjXbk7KnUTh6MXl/FcnqqM6EXL/TRl3ajK\n6Nps8ujlMioZ4lue+DWmoGBc6sYkW6yfQhnosj2oHn0SWTeqMfWlblzHhlNxqvlF9ehtbTZ5x3ws\nxBRHSr+Som5EXYh6cKHrAlpRUsHYJAJqNi+bIofqSVKCm7Z+617GoDL0puCdSoZcziUY6/MqQZ9j\niql64HW5ePSuWTe29splTHLjjI0Y/xGpOLmcSq5Yf5xgLKcvxX64rvTEDV2u5+rY5i1l3ANaUfLB\n2GKlV8qydR69K3WT1oYplQy5HDUYq+JiTTeniXrz2Rlr4obltsQ9j15exSWVXmkbP1sw1vTgdg3G\nUtIrdQ8MmevnhpR7+6YVj+qeMcUrdMFYVUpyOI/eDUXz6BsbaXmxLgYHsBszihyVwVPlb+t4cduG\nKbkM1aM3yaEaBl17TRtjbNSIrEtdHyg6p2TdyHqgUDcUnVN0RZmTlPHTjY3us6qcSi5vo8mjF9us\nM768H6KHLOtcfFiIdaseynGCsaq4FkXnAa0oCeom6bNufD16FYVh4kMpVIgtwKejXWwbpqjUjc2j\nV606KNSDjk4RYdO5yfjqqCS5LkpQl5ezzR1KMJZ7sLbdqXGpGwoV58LR2zJhXCkgUxld+1xeGGKb\ntxSdB7SiaMFYeamqW/rbDL0q68YnGCvKUZ3jrZq0qrqKtWFKJUMuZ3sY6A4Rs622dB4hReeuWTcu\nO2Opc8flCASxnEmuuEpyOabYRt1QgrG8fVSO3rQykB8YujRXuW65njhHIMh6CNSNO0rCowfiefSF\n5uiph5qp6k5rw5QvR69qsxxQ416/CBNvrpPrEowtJEcP0I9AkMup5PIHvGl8bGOTtEfvy9HrPHob\nr69rH5W60XH04VAzPxQlGCsvTZM+1MzG0VMnm23Smjh6k5coluGHVJVJmnDh6G1LfZtHL68eRG5W\nt0SnXCPWzfsp5oq77Mh0zbqR+WXK3KFw9HI5nbG1jU8S+jQZ+rhZN3If+GcKdWNaBVOpG9O8NR1q\nFqgbNYri0YsbIJI+1CwORy9PNtuktQVRKRum5CW73OY4G6bkcj4ePcVzMy3jRa+MU00U6sbk0ct6\n8KVu5NWDfDxuHENvGx+dR0/JuknDo6c+MGzUjW0VTI2P6eataRUSPHo9imLom5rUT/qk8uiT2DAl\ny1Z5kjaOXlW3XMbEA9s8eqoc0TOy8aqAuyEzefQmnbvk0Zv0kMTc0WV7qMY0ifFRGXpRjklXoqG3\nPYR5GdNYmOTo8uh9PXodjeWqB6qzFhChKMFY1RO6VDh6sU22SZvEMcUUT9wmR9cWuRw1GCsugXUe\nPeUais51lIa8I1NXl4kColI31PxtuZxOrq3Ncj2AXxZVUtSNTce2w+Xkun08ehc9UHUe0IqiefSq\ndCnV8tZm6G1BLX4NJetGXj7qlsm2nbG2rBsVdSODknVDXepTOXqONKgbFc+qki3uyCxE1o1Is/Hv\nXMarFKkb1QqNlxF5cgp1I8uhZN3o2kd9wxSXY8ujD9QNHbEM/Q033IBRo0Zh7NixOOecc7Bz507t\ntbbgStobpsSbKu6GKVNdsqeWRHZFUnKoD5UkqRvXTS+ybFtdVNqPahgo4+X6IDStXDhc9MnL2cZP\npU9Og9gOCOPlfPLoVWPjsnLn/TQ5CYG6cUMsQ3/66afjnXfewZtvvokRI0Zg/vz52mt1ijNNANvB\nYgCNo0/rCARdPMBEuVC5dVt6pYsc12CsD3Xj6tEDemOhogxUdWUy5kPNeBmuK1fKIA5Hbxsf04M7\njQ1TJjrFZ2esazCW98uHuhH1wHWukhOoGz1iGfqJEyei7H9dg+OPPx4bN27UXutD3QD2m4rC0Yte\nkHjQkk6OzbOlHIFgOhHR16PXyTFx9FQqQmcYqNQNJRhLoW64bF0QUC5DyfPnhsK0Xd+FunFd8bjk\n0SeVdWPyxCkBUp0cmwPgw9Hz1x/qqEp5bsvUk6rugFwkxtHfc889mDx5svZ3k2epe0IDufwi1aM3\n0SlUL0j+TlXO51AzKkdfyPRK087YONQNJUXOx1CJdIDvxh35GlWb4wRjbeNjO24hbjBW7Jf4INcZ\nX0r2jit1o2qfKa6gWwnLY0Gl/AJaoZhKuZg4cSK2bt2a9/28efMwZcoUAMDcuXNRWVmJCy64QClj\n9uzZePbZSAl1dbUYPLiWRN0AdI+esVbDaUqvTMrQm86okW8yW1qkj0dPpW58grGU7ArKMr68HDh4\nUF2370adhgagS5fW30y0A9UYm7be+xp62/iUAnXD67JRN7bD5XR1U6kbVZtlPYjUDWVOtkXU1dWh\nrq4uFdlWQ//kk08af7/33nvx+OOP469//av2mtmzZ2PhQmD7dqC2FvjHP+g3vc4b4RBfrsG9AB+P\nnt9Aopcs31SiJ8nT/3Q7WqmHmjU22j03m5w4h5qJbVYt0W30AL9Gp7t9+/LrjrNRh+rRcwqtuZnm\nRapWTknQJ3KbRRlJHFNsumd4ed2qmHqoGbVPvG5TXVSaKI5Hz52+toba2lrU1ta2fJ4zZ05isq2G\n3oTly5fj1ltvxTPPPINOnTqZK/IIxgJuy2R+c5s4eooMSt2UIKq4+5cfcyCf22HyxHWcJUA/j97H\no/fh6G2GVFU3RbatroMH1XXzNM3GRrvOxYe1zpPUtY/K0bt49KrPqnKNjUDnzvq6RUPv49GbKLRC\nevTyPaObNyJVqqrjUEYsjn7WrFnYs2cPJk6ciPHjx+Pqq6/WXptWMFa+JgmOnhKMpRpNuX65nGmj\nky3rxpXTpQZjfagbn2CsjbqxbdQx3fRiORfqJskNU6bxSZu6oQRjbV62jUJLKhgrlwPsHr1N5wG5\niOXRf/DBB+Rr4wRjXQ19HI6eml5pW1pTj1zVUTey8TVx9LpUT1Xd1GBsEtSNKRjb3GzmwKmUgemm\n5+VsOq+s1GfdqBaq1DlpGh8xO0t15lGSwViKl+2adWMq4+vRi3WZ7hndakKUU1Wl/v1QRdF3xlKe\n9E1NkWGgeFiF8Oj5Z9uNaOMbSyXrphjUDR9PFZdKpW64R2+66eN49HGCsbbx4bSe7iFcaI/e9YHh\nSt0k5dHbVnGynIAIRTmmWOXR2yYO1TDYOHqb4aKcmmjj1kXPW/5OlUdPkaPj6HWfVeWowVhehgcy\nbdSNKTCn2xlrW37rqBsXj56XozysfA81s1Fbujx/VV1U6oa6M1YsY2qvD4VG8ejlukwePW8jJY8+\nUDfuKHmPnk8A3e8m2arfTfXInripnO0QMd2ZOT6em+qzD6dLrUsMZNoCdYAfR09Zftvqonh3JupG\nFU8RvzM9PKletal9qvFJ8qwbcTXI3wegC8a6Zt1QdB7HozfZC5e5ExCh6IaewzYBTIbextFTqRvZ\nQMvLUHFim7h1G3Uj5gTHoW7E3Z6mLCDXYKzY97SoG4qBpmR7lDp1Y2pfXAeA4lUDrQ/upiZ36ibJ\nrBsek7CtkgDzURSBunFH0Y8pBszLWx9Db6JudHJUu1hNfKPJQJuomzgefdxDsKgPFSA3Y8VGdfkE\nYynUjdwWILeuuFk34llKSR+BYBs/Xr9qfJI4plj34HYJxlL1oKtbFdcy0a+mYGygbuKh6B593ICa\neA1gP4/eJod6RoiJW5dXBqaUPYonrvqc5Hn0KgpDpB5U41VW1irb16M36UE0vjJlIJbT5dGL5ahz\nB0juUDPb+AHpUTfyPBbb7OrRi3ro0KF1rvkEYyn3OYfungnUjR9KIhhLuRHT9uhlOfJnH4/e5p1Q\n8vF1G6ZcDINrMFbsO2WZbOJrfYKxsn50AT5qBoaLzk1BQFUZCnVj4uh9VnpxjvNw5ehd+0Xx6FUw\n6cGV9gsefT7ahEcvc4uqa+Jy9FyOi0dP9Y5NXiKVAiori4JpfKWgkpPUMcVArmGgGFKfYKzN0NsO\nNVN91rWPqvOkOXpT+3Tjk/SGKV5O59GbaBjxOkq/fD16VQA5cPTJoeiGHjDfiK5ZN75HIIh1qeSq\nvBOTx6XbMKU6cpUSIOUxBJWcpI8pBlr5WdPNabvGl7qRb2KRK3YJxvJyrjqnroBM6YKU8Us760aE\nzmGyHWrm2i/bPRN3ZWV7YMhxhYAIJRGMTZKjV90gLh696FXYqBubB03dMGWSI3pTKjlpHFMs9j2O\nRx9n0wu/TqwHcAvGuswdiicpl8lmW89SN9XtGoxVfVaVsa0mKBy9LRGCX0ftV1yOnnqoWfDo3VB0\nj546ASjKNb31ybZhissRX0otc8NU6iaprJuk5bhQN2l79KYgqotHb5Njy2WXy7pk3VAyh3zSK6nU\njSkgKq4oTW120QOlX7p4iqm9vJwIW3wnePRuKJlgbBJeWXNz69ZyES4evUquqo0Uj0v1nQtHT5Vj\nOuvG55hiAOjYMTICBw6oz3uhXGO6WW1y+XViPUBuOYqcgwfddO5yqJlJLmX8VOPjEly3ceu2Nrvq\ngdIvm0dPfeCa7hmKzgNy0WY8eoqhp/DUlJtepgxkLtaWLWPKulEdU0w1vio5/PckjykGouNv9++P\n/lRH4VKuMXn0NrmqelTlKO1z0bmLR2+SSxm/NIOxYp9MbXbRA6VfpkC1rx7kuU3ReUAuim7oAZoR\np1wT5+bgclRys9ncXahcDtUTN/Xdxfjy71QvPaHIcQnGpmnoM5nohSQ2A8PHu1OnyBlobs6tiyKH\nauhtbZbLJGno+fEE/N0FprpdDL2tza56oPTLFKhOQg9UnQfkoiSCsZSMGso1JhqEZ8LY5AD5Z93I\nZWyHmtkoF9nQUzZMid/JMuK+YUoVjBVvaN0y2XbTm+p28SQzmWhJfuBA8h69KXBv03FcQ8/rkldn\nvG7fYKw8j01tTtqj58HpbNY9vVLXT9Xcsc3JgFwU3aNPkrrR3Zictze9Vo7LodZN2YnKIdMBlLNu\nTNSNLEOWa6o7aepGZXxVcuW6m5vdPclduyI9inOnsdHevqQoA7FMkh69y4M7SY8eiGS56sGkc1Nd\ncSg0cb5ns3adB+SiJIKxpiAND65QrtHdmEDudn2THCA/CKg72pVqNG1HIJhWISo5qn4mcQSCeEN3\n6mQ3VOI1rsFYXl4nV/Xd9u3630zto+icgzJelDlpGxsg98Etjw0lBqSr3xRElXcW87bq+uDTL11d\nBw/66UE1t21zMiAXRffoAbsx4VF+2zW6m4PXn83a5VDqpnjiqroBNW1F5c1VhgGgn1/u6tEfOGAe\nL+616q6x8d2unuSOHfl6sMkxtQ/IzeDhbbaNF2VOUsbPRDlSdKWTrTPQujb7cPSU+1G+xnafi3XZ\n9BA4ejcU3dDbUrw6dWq9YWzXmAw99xBscnibbHXbuHXbRidej48cFw/Q95jitIOxvLxOruo72dCb\nrhfbR9E5B4Wjp8zJONQNr5ti6E0rHHmFJrfZVw+UlZ6qrjh6cJk7wdDnoySCsaZloKuhV92YQK5H\nT51sNkNv86BV38ltpKRFyt+p+hmHoy9GMJaX18kF8tuzfbu/R0/VOYWjT8rQx3lwm+JNOuOva3OS\nWTemumz3uQjTPaO6Xm5fQC7alUdP4eiTMPS20ytdOHqXNE0dR5/GMcVpB2N5eZ1c1XeyoafIocwd\nwO1Qs1Lw6A8ejOpWne1ONfSl6NGr9CDvPbG1OQRj81ESwVjG0qduXDx6CnXjEow1BSV9uH7f4J1L\nMJZq6HfvjrxLXZqfKRhb6h59IQy9KuYC2A/Nc5nHtjabVhxA7pECXOdi9pOqflVdtvtcRODok0XR\nPXqOUuLobXX7cuuqowricvSinGJ49Jw3V3mWpeDRt1eOnnJ0gXjejY9HzyF6yCY9mOoSf9OVERGH\n9guGPh9FN/SUFC9OD9jS6CgcPYUnFNuk46l9uHXVWTw+XL/cT9NZN1SPXg7GduoE7NkTlTGlEOpS\nHrlcX52L1+nqosixxRlM2R42jp4yJ23plb6G3iSX90X0xE3t0cnhEA2nTee6ulx1ruPobQ8nXndA\nLkoiGAukz9FTPCGXYKyJW1elRaq4dR/qRpZDOevG5tHrgrE7duh5YH6NybuLG4yl1pU0dZMER19e\nHvV/5063YCyHLXZjqptD9MTjePSi4aR69Lpx99GDam6HYKwb2oxHX4z0Sr7xQ/aCXHe0xqFcCkXd\nyDClM1KviUvdJJFHX6xgrK7NInQePWV+UQy9eIqjD0fPIVM3tnnBV4OZjP8qLk56ZQjG5kNjFlOo\nyEIhlFIwlqOsLKItdu7M/41Clcjf6Qw09cwcnZwkNkwB9uCnDH5NVZX697jBWJFjjuPRd+jgHwT0\n5ehtbRbrcqVubPOYw+bRi+2kyuF96tpVf32nTkB9vbp9IRhbHBScutEZpaQMvY6j9wnG8u9Uk5bi\nQcvfye3zTdNUcZa2oK6pzarvqquBTZuif3WwXWPz6HXleD/EG1ZVF38Q6IxOdXV0Po5vMDZOHr2u\nzSJMHL0tqytJ6sakYyDKsqH2idcl3zOuxy3oguL85FabzgNyEdvQ33bbbSgrK8P27dvNFZW1Hizm\nsxQ7cMB+jY2jtx2BoKMMVJPWhbrhdaval5ScuOfRy6ipiQxtTU3+b9RruL51OjfJBiKKwFTXnj3R\nv7qDsmpqIhkuOqeMF3+D0549Zm/YNj7Fom7kNsfVgwx+z7iuvgB7UJwbcZ1Dx3UekItYhn7Dhg14\n8skncfjhh5OuN3HMpcTRy9+pPHpTsEx+jZtv0E3XBxfqhnpMMZD7UOE3ss3Qm67JZFoPZxPr5uPT\no4deNhCNu6ku2w3duXP0kNHRCIB7Wp9YTkXpibCNT5yYS5Ievc3Q2/QgIw2Pno+FTeddurS+MjGg\nFbEM/fe+9z385Cc/IV+v4iQLFYx14ejltD6dR68yxqoXReu4WNu59hQ5SW2YksGNsMkYU65RtXnf\nvuhf+cRCGbInKf4L5BogFTKZqG3btiXL0fNypgcI0EpvmKibNDZMcVCDsS6Gnuva1dCLv+nKiNDN\nW6rOg1efC+9g7COPPIJBgwbh2GOPpVdWrj83vr1w9GK6o1y3qn0uXrZNDoWjNz1UZJoIyF+diOjZ\nM/q3e3f9NSqdf/yx/nqO2bOB6dNbPw8cGP172GGt31HkdO8OfPppslk3vJzN0KveBCZCdz/YHIDG\nRj+Pnqc8yhuqxDGV8eCDufsoevWK/jU93OMYep0eXObO9On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"text": [
"<matplotlib.figure.Figure at 0x10d872bd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ps/dOsZBk+cRhAZgooKDzSgZqu50FEA+yKgAAuQMyExYA1QnMT1B2T5VGLCuX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\nC5MmTcKUKVNw8cUX46GHHkIf3YdfHRwcHByygqx9EMbBwcHBIbvIyk7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"text": [
"<matplotlib.figure.Figure at 0x10d87df10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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SpYCef/55DB8+HDt37sSsWbMwceJEzJgxo+P7xYsXd/x/5syZmDlzprKcpK61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\nICDgKEUwAAEBAQFHKf4/BmqmFyhhf00AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10d136910>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OgS+jowwqK93MdnTUDb/MhbEnlWsT0bOOvr09aGcqlb1Ir3rWurqC/QEubKWz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\n60w3A/HOW6VbResUEwpx7MQVOadu2L8uoXP0FK54aNNI3CZ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"text": [
"<matplotlib.figure.Figure at 0x10cd10f90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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yPRVrLSuz90tuy9YOv+hVNxVVPUofKGPD26+sDBKU6i1ROVa8ju4maIuVrYyq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\no9e1BajZXVSNnj82m9pW2eFJQVcnTt2XOi/Ekx5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"text": [
"<matplotlib.figure.Figure at 0x10cc78f10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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bT9O/v9e2f+eT8wDMkRUKwNTSk2X6TayH5uZU64H/FqVe0XdhY8+q5CjPE5hY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\nh24KpwAcHBwcuin+P03B7PG445vTAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10cc72690>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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