24411 lines
1.8 MiB
24411 lines
1.8 MiB
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "6ba1fbfd-0c9b-41cc-8c91-109b7e7c75ce",
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"metadata": {},
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"outputs": [],
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"source": [
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"import math\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import random\n",
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"%matplotlib inline"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "6c68e697-08a6-437a-b70b-10d07fc25303",
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"metadata": {},
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"outputs": [],
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"source": [
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"def f(x):\n",
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" return 3*x**2 - 4*x + 5"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "329d0306-7585-43c3-809e-1881c04186eb",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"20.0"
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]
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},
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"execution_count": 3,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"f(3.0)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"id": "d9fe6d4a-f217-4140-ab5d-aa94b2873f96",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[<matplotlib.lines.Line2D at 0x7bab3c22a960>]"
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]
|
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},
|
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"execution_count": 4,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"xs = np.arange(-5, 5, 0.25)\n",
|
|
"ys = f(xs)\n",
|
|
"ys\n",
|
|
"plt.plot(xs, ys)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "c529bf0b-bc62-44aa-972d-f3bc5f062281",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"14.000001158365194"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"h = 0.000000001\n",
|
|
"x = 3.0\n",
|
|
"(f(x + h) - f(x))/h"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "9033878d-ae71-4347-ad2d-7b346cd7e3cc",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"4.0\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"a = 2.0\n",
|
|
"b = -3.0\n",
|
|
"c = 10.0\n",
|
|
"d = a*b + c\n",
|
|
"print(d)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "4552a24e-b104-48cb-8af7-d25810616d6e",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"d1 4.0\n",
|
|
"d2 4.000002\n",
|
|
"slope 2.000000000279556\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"h = 0.000001\n",
|
|
"\n",
|
|
"a = 2.0\n",
|
|
"b = -3.0\n",
|
|
"c = 10.0\n",
|
|
"\n",
|
|
"d1 = a*b + c\n",
|
|
"b += h\n",
|
|
"d2 = a*b + c\n",
|
|
"\n",
|
|
"print('d1', d1)\n",
|
|
"print('d2', d2)\n",
|
|
"print('slope', (d2 - d1)/h)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 99,
|
|
"id": "c8b07ebe-ddab-4b6d-bb8b-a57962122bca",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Value(data=-8.0)"
|
|
]
|
|
},
|
|
"execution_count": 99,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"class Value:\n",
|
|
"\n",
|
|
" def __init__(self, data, _children=(), _op='', label='', tag=''):\n",
|
|
" self.data = data\n",
|
|
" self.grad = 0.0\n",
|
|
" self._prev = set(_children)\n",
|
|
" self._backward = lambda: None\n",
|
|
" self._op = _op\n",
|
|
" self.label = label\n",
|
|
" self.tag = tag\n",
|
|
"\n",
|
|
" def __repr__(self):\n",
|
|
" return f\"Value(data={self.data})\"\n",
|
|
"\n",
|
|
" def __add__(self, other):\n",
|
|
" other = other if isinstance(other, Value) else Value(float(other), label=f'const: {other}', tag=self.tag)\n",
|
|
" out = Value(self.data + other.data, (self, other), '+', tag=self.tag)\n",
|
|
"\n",
|
|
"\n",
|
|
" def _backward():\n",
|
|
" self.grad += 1.0 * out.grad\n",
|
|
" other.grad += 1.0 * out.grad\n",
|
|
" \n",
|
|
" out._backward = _backward\n",
|
|
" \n",
|
|
" return out\n",
|
|
"\n",
|
|
" def __radd__(self, other):\n",
|
|
" return self + other\n",
|
|
"\n",
|
|
" def __neg__(self):\n",
|
|
" return self * -1\n",
|
|
"\n",
|
|
" def __sub__(self, other):\n",
|
|
" return self + (-other)\n",
|
|
"\n",
|
|
" def __mul__(self, other):\n",
|
|
" other = other if isinstance(other, Value) else Value(float(other), label=f'const: {other}', tag=self.tag)\n",
|
|
" out = Value(self.data * other.data, (self, other), '*', tag=self.tag)\n",
|
|
"\n",
|
|
" def _backward():\n",
|
|
" self.grad += other.data * out.grad\n",
|
|
" other.grad += self.data * out.grad\n",
|
|
" \n",
|
|
" out._backward = _backward\n",
|
|
"\n",
|
|
" return out\n",
|
|
"\n",
|
|
" def __rmul__(self, other):\n",
|
|
" return self * other\n",
|
|
"\n",
|
|
" def __truediv__(self, other):\n",
|
|
" return self * other**-1\n",
|
|
"\n",
|
|
" def __pow__(self, other):\n",
|
|
" assert isinstance(other, (int, float))\n",
|
|
" other = float(other)\n",
|
|
" out = Value(self.data**other, (self,), f'**{other}', tag=self.tag)\n",
|
|
"\n",
|
|
" def _backward():\n",
|
|
" self.grad += (other * self.data**(other -1)) * out.grad\n",
|
|
" out._backward = _backward\n",
|
|
" \n",
|
|
" return out\n",
|
|
"\n",
|
|
" def tanh(self):\n",
|
|
" n = self.data\n",
|
|
" t = (math.exp(2 * n) - 1) / (math.exp(2 * n) + 1)\n",
|
|
" out = Value(t, (self, ), 'tanh', tag=self.tag)\n",
|
|
"\n",
|
|
" def _backward():\n",
|
|
" self.grad += (1 - t**2) * out.grad\n",
|
|
" \n",
|
|
" out._backward = _backward\n",
|
|
" \n",
|
|
" return out\n",
|
|
"\n",
|
|
" def exp(self):\n",
|
|
" n = self.data\n",
|
|
" out = Value(math.exp(n), (self, ), 'exp', tag=self.tag)\n",
|
|
"\n",
|
|
" def _backward():\n",
|
|
" self.grad += out.data * out.grad\n",
|
|
" out._backward = _backward\n",
|
|
"\n",
|
|
" return out\n",
|
|
"\n",
|
|
" \n",
|
|
"\n",
|
|
" def backward(self):\n",
|
|
" self.grad = 1.0\n",
|
|
" topo = []\n",
|
|
" visited = set()\n",
|
|
" def build_topo(v):\n",
|
|
" if v not in visited:\n",
|
|
" visited.add(v)\n",
|
|
" for child in v._prev:\n",
|
|
" build_topo(child)\n",
|
|
" topo.append(v)\n",
|
|
" build_topo(self)\n",
|
|
"\n",
|
|
" for node in reversed(topo):\n",
|
|
" node._backward()\n",
|
|
"\n",
|
|
" \n",
|
|
"a = Value(2.0, label='a', tag='1,a')\n",
|
|
"b = Value(-3.0, label='b', tag='1,a')\n",
|
|
"c = Value(10.0, label='c', tag='2,a')\n",
|
|
"e = a*b; e.label = 'e'; e.tag='2,a'\n",
|
|
"d = e + c; d.label='d'; d.tag='3'\n",
|
|
"f = Value(-2.0, label='f', tag='3')\n",
|
|
"L = d * f; L.label='L'\n",
|
|
"L"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "72f770c5-27af-4f41-a4e3-4c234a03e0af",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from graphviz import Digraph\n",
|
|
"from collections import defaultdict\n",
|
|
"\n",
|
|
"def trace(root):\n",
|
|
" nodes, edges = set(), set()\n",
|
|
" def build(v):\n",
|
|
" if v not in nodes:\n",
|
|
" nodes.add(v)\n",
|
|
" for child in v._prev:\n",
|
|
" edges.add((child, v))\n",
|
|
" build(child)\n",
|
|
" build(root)\n",
|
|
" return nodes, edges\n",
|
|
"\n",
|
|
"\n",
|
|
"def create_subgraph(dot, nodes, depth=0):\n",
|
|
" if nodes:\n",
|
|
" # Group nodes by the current tag at this depth\n",
|
|
" grouped_nodes = defaultdict(list)\n",
|
|
" for n in nodes:\n",
|
|
" tags = n.tag.split(',') if n.tag else []\n",
|
|
" if len(tags) > depth:\n",
|
|
" grouped_nodes[tags[depth]].append(n)\n",
|
|
" else:\n",
|
|
" grouped_nodes[None].append(n)\n",
|
|
" \n",
|
|
" # Create subgraphs for each tag\n",
|
|
" for tag, grouped in grouped_nodes.items():\n",
|
|
" if tag is not None:\n",
|
|
" with dot.subgraph(name='cluster_' + tag) as c:\n",
|
|
" c.attr(label=tag)\n",
|
|
" create_subgraph(c, grouped, depth + 1)\n",
|
|
" else:\n",
|
|
" for n in grouped:\n",
|
|
" uid = str(id(n))\n",
|
|
" dot.node(name=uid, label='{ %s | data %.4f | grad %.4f }' % (n.label, n.data, n.grad), shape='record')\n",
|
|
" if n._op:\n",
|
|
" dot.node(name=uid + n._op, label=n._op)\n",
|
|
" dot.edge(uid + n._op, uid)\n",
|
|
"\n",
|
|
"def draw_dot(root):\n",
|
|
" dot = Digraph(format='svg', graph_attr={'rankdir': 'LR', \"beautify\": 'true'}, engine='dot')\n",
|
|
" \n",
|
|
" nodes, edges = trace(root)\n",
|
|
"\n",
|
|
" create_subgraph(dot, nodes)\n",
|
|
"\n",
|
|
" # Add edges\n",
|
|
" for n1, n2 in edges:\n",
|
|
" dot.edge(str(id(n1)), str(id(n2)) + n2._op)\n",
|
|
"\n",
|
|
" return dot"
|
|
]
|
|
},
|
|
{
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"cell_type": "code",
|
|
"execution_count": 181,
|
|
"id": "d3094b2a-c81f-4573-b8b0-d15a8f4ae8bf",
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"metadata": {},
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"outputs": [
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{
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}
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"source": [
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"draw_dot(L)"
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]
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},
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{
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"id": "ffa5d665-0665-44b5-9a31-1296c3c3e79e",
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"metadata": {},
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"outputs": [],
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"source": [
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"dL / dc\n",
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"\n",
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"dL / dD = -2\n",
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"\n",
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"dD / dC = 1.0\n",
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"dD / dE = 1.0\n",
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"\n",
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"dL / dE = -2.0\n",
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"dL / dC = -2.0\n",
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"\n",
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"\n",
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"dE/dA = B = -3.0\n",
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"\n",
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"dL / dA = dL/dE * dE/dA\n",
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" = -2.0 * -3.0\n",
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" = -6\n",
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"\n",
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"dL / dC = dL/ dD * dD /dC\n",
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"dl / dC = -2 * 1\n",
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" = -2\n",
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"\n",
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"d = c + e\n",
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"\n",
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"\n",
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"d = c + e => d = e**c + e\n",
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"\n",
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"dD/dC = c*e**c \n",
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"\n",
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"\n",
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"(f(x+h) - f(x))/h\n",
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"((c+h + e) - (c + e)) /h\n",
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"\n"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 52,
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"id": "742550ff-ee2c-4c95-8433-7221d8b09dcb",
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"metadata": {},
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"outputs": [],
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"source": [
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"L.grad = 1.0\n",
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"f.grad = 4\n",
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"d.grad = -2\n",
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"c.grad = -2\n",
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"e.grad = -2\n",
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"a.grad = 6\n",
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"b.grad = -4"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 47,
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"id": "9bc2d7e0-e6a8-4dc0-8b1d-526934970e04",
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"3.9999999999995595\n"
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]
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}
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],
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"source": [
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"def lol():\n",
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" h = 0.0001\n",
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" \n",
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" a = Value(2.0, label='a')\n",
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" b = Value(-3.0, label='b')\n",
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" c = Value(10.0,e label='c')\n",
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" e = a*b; e.label = 'e'\n",
|
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" d = e + c; d.label='d'\n",
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" f = Value(-2.0, label='f')\n",
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" L = d * f; L.label='L'\n",
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" L1 = L.data\n",
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"\n",
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" a = Value(2.0, label='a')\n",
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" b = Value(-3.0, label='b')\n",
|
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" c = Value(10.0, label='c')\n",
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" e = a*b; e.label = 'e'\n",
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" d = e + c; d.label='d'\n",
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" f = Value(-2.0, label='f')\n",
|
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" L = d * f; L.label='L'\n",
|
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" L2 = L.data\n",
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"\n",
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" print((L2 - L1)/h)\n",
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"\n",
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"lol()"
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]
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},
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{
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"id": "5e3b2d81-024f-43a3-909e-5eeaa5009672",
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"<polygon fill=\"black\" stroke=\"black\" points=\"597.7,-108.79 605.26,-101.37 594.72,-102.45 597.7,-108.79\"/>\n",
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"</g>\n",
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"<!-- 125535855496800* -->\n",
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"<g id=\"node9\" class=\"node\">\n",
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"<title>125535855496800*</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"277\" cy=\"-145\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"277\" y=\"-139.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125535855496800*->125535855496800 -->\n",
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"<g id=\"edge4\" class=\"edge\">\n",
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"<title>125535855496800*->125535855496800</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M304.41,-145C311.49,-145 319.63,-145 328.38,-145\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"328.24,-148.5 338.24,-145 328.24,-141.5 328.24,-148.5\"/>\n",
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"</g>\n",
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"<!-- 125535864314944 -->\n",
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"<g id=\"node10\" class=\"node\">\n",
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"<title>125535864314944</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"17.5,-127 17.5,-163 212.5,-163 212.5,-127 17.5,-127\"/>\n",
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"<text text-anchor=\"middle\" x=\"32.25\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">x1</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"47,-127.5 47,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"86.88\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"126.75,-127.5 126.75,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"169.62\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -1.5000</text>\n",
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"</g>\n",
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"<!-- 125535864314944->125535855496800* -->\n",
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"<g id=\"edge16\" class=\"edge\">\n",
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"<title>125535864314944->125535855496800*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M212.76,-145C221.77,-145 230.47,-145 238.4,-145\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"238.25,-148.5 248.25,-145 238.25,-141.5 238.25,-148.5\"/>\n",
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"</g>\n",
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"<!-- 125535855495744 -->\n",
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"<g id=\"node11\" class=\"node\">\n",
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"<title>125535855495744</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1729.75,-17 1729.75,-53 1954,-53 1954,-17 1729.75,-17\"/>\n",
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"<text text-anchor=\"middle\" x=\"1759.12\" y=\"-30.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1788.5,-17.5 1788.5,-53\"/>\n",
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"<text text-anchor=\"middle\" x=\"1828.38\" y=\"-30.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1868.25,-17.5 1868.25,-53\"/>\n",
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"<text text-anchor=\"middle\" x=\"1911.12\" y=\"-30.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.1036</text>\n",
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"</g>\n",
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"<!-- 125535855495744->125535855498240+ -->\n",
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"<g id=\"edge11\" class=\"edge\">\n",
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"<title>125535855495744->125535855498240+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1954.44,-37.54C1963.68,-37.76 1972.54,-37.96 1980.56,-38.14\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1980.44,-41.64 1990.52,-38.37 1980.6,-34.64 1980.44,-41.64\"/>\n",
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"</g>\n",
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"<!-- 125535857272800 -->\n",
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"<g id=\"node12\" class=\"node\">\n",
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"<title>125535857272800</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"728.5,-127 728.5,-163 912.25,-163 912.25,-127 728.5,-127\"/>\n",
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"<text text-anchor=\"middle\" x=\"739.88\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">b</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"751.25,-127.5 751.25,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"791.12\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 6.8814</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"831,-127.5 831,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"871.62\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.5000</text>\n",
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"</g>\n",
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"<!-- 125535857272800->125535855496704+ -->\n",
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"<g id=\"edge23\" class=\"edge\">\n",
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"<title>125535857272800->125535855496704+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M912.65,-128.2C924.98,-125.21 937.38,-121.8 949,-118 959.19,-114.66 969.96,-110.17 979.61,-105.76\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"981.02,-108.97 988.56,-101.53 978.03,-102.64 981.02,-108.97\"/>\n",
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"</g>\n",
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"<!-- 125535855502512 -->\n",
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"<g id=\"node13\" class=\"node\">\n",
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"<title>125535855502512</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1727.5,-127 1727.5,-163 1956.25,-163 1956.25,-127 1727.5,-127\"/>\n",
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"<text text-anchor=\"middle\" x=\"1759.12\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: -1</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1790.75,-127.5 1790.75,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"1832.88\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -1.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1875,-127.5 1875,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"1915.62\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1464</text>\n",
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"</g>\n",
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"<!-- 125535855502512->125535855503424+ -->\n",
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"<g id=\"edge21\" class=\"edge\">\n",
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"<title>125535855502512->125535855503424+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1926.2,-126.52C1936.38,-123.87 1946.59,-121 1956.25,-118 1965.84,-115.02 1976.06,-111.29 1985.39,-107.67\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1986.43,-111.03 1994.43,-104.08 1983.84,-104.52 1986.43,-111.03\"/>\n",
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"</g>\n",
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"<!-- 125535855507648 -->\n",
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"<g id=\"node14\" class=\"node\">\n",
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"<title>125535855507648</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1750.38,-72 1750.38,-108 1933.38,-108 1933.38,-72 1750.38,-72\"/>\n",
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"<text text-anchor=\"middle\" x=\"1761.38\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">e</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1772.38,-72.5 1772.38,-108\"/>\n",
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"<text text-anchor=\"middle\" x=\"1812.25\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 5.8284</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1852.12,-72.5 1852.12,-108\"/>\n",
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"<text text-anchor=\"middle\" x=\"1892.75\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0429</text>\n",
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"</g>\n",
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"<!-- 125535855507648->125535855498240+ -->\n",
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"<g id=\"edge27\" class=\"edge\">\n",
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"<title>125535855507648->125535855498240+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1926.2,-71.52C1936.38,-68.87 1946.59,-66 1956.25,-63 1965.84,-60.02 1976.06,-56.29 1985.39,-52.67\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1986.43,-56.03 1994.43,-49.08 1983.84,-49.52 1986.43,-56.03\"/>\n",
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"</g>\n",
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"<!-- 125535855507648->125535855503424+ -->\n",
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"<g id=\"edge17\" class=\"edge\">\n",
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"<title>125535855507648->125535855503424+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1933.64,-92.07C1950.19,-92.45 1966.6,-92.82 1980.49,-93.14\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1980.4,-96.64 1990.48,-93.37 1980.56,-89.64 1980.4,-96.64\"/>\n",
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"</g>\n",
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"<!-- 125535855507648exp -->\n",
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"<g id=\"node15\" class=\"node\">\n",
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"<title>125535855507648exp</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1664.5\" cy=\"-90\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1664.5\" y=\"-84.95\" font-family=\"Times,serif\" font-size=\"14.00\">exp</text>\n",
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"</g>\n",
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"<!-- 125535855507648exp->125535855507648 -->\n",
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"<g id=\"edge5\" class=\"edge\">\n",
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"<title>125535855507648exp->125535855507648</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1691.76,-90C1704.69,-90 1721.21,-90 1738.51,-90\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1738.45,-93.5 1748.45,-90 1738.45,-86.5 1738.45,-93.5\"/>\n",
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"</g>\n",
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"<!-- 125535864321712 -->\n",
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"<g id=\"node16\" class=\"node\">\n",
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"<title>125535864321712</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"18.25,-72 18.25,-108 211.75,-108 211.75,-72 18.25,-72\"/>\n",
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"<text text-anchor=\"middle\" x=\"34.5\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">w2</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"50.75,-72.5 50.75,-108\"/>\n",
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"<text text-anchor=\"middle\" x=\"90.62\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"130.5,-72.5 130.5,-108\"/>\n",
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"<text text-anchor=\"middle\" x=\"171.12\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0000</text>\n",
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"</g>\n",
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"<!-- 125535864321712->125535855506400* -->\n",
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"<g id=\"edge24\" class=\"edge\">\n",
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"<title>125535864321712->125535855506400*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M211.84,-90C221.14,-90 230.15,-90 238.32,-90\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"238.13,-93.5 248.13,-90 238.13,-86.5 238.13,-93.5\"/>\n",
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"</g>\n",
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"<!-- 125535864321760 -->\n",
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"<g id=\"node17\" class=\"node\">\n",
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"<title>125535864321760</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"16,-182 16,-218 214,-218 214,-182 16,-182\"/>\n",
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"<text text-anchor=\"middle\" x=\"32.25\" y=\"-195.2\" font-family=\"Times,serif\" font-size=\"14.00\">w1</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"48.5,-182.5 48.5,-218\"/>\n",
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"<text text-anchor=\"middle\" x=\"90.62\" y=\"-195.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -3.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"132.75,-182.5 132.75,-218\"/>\n",
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"<text text-anchor=\"middle\" x=\"173.38\" y=\"-195.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125535864321760->125535855496800* -->\n",
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"<g id=\"edge15\" class=\"edge\">\n",
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"<title>125535864321760->125535855496800*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M188.12,-181.51C196.9,-178.85 205.7,-176 214,-173 224.09,-169.36 234.82,-164.77 244.47,-160.38\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"245.86,-163.59 253.45,-156.19 242.9,-157.25 245.86,-163.59\"/>\n",
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"</g>\n",
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"<!-- 125535855508176 -->\n",
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"<g id=\"node18\" class=\"node\">\n",
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"<title>125535855508176</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"2520.25,-25 2520.25,-61 2701,-61 2701,-25 2520.25,-25\"/>\n",
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"<text text-anchor=\"middle\" x=\"2530.12\" y=\"-38.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"2540,-25.5 2540,-61\"/>\n",
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"<text text-anchor=\"middle\" x=\"2579.88\" y=\"-38.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.1464</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"2619.75,-25.5 2619.75,-61\"/>\n",
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"<text text-anchor=\"middle\" x=\"2660.38\" y=\"-38.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 4.8284</text>\n",
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"</g>\n",
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"<!-- 125535855508176->125535855506208* -->\n",
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"<g id=\"edge12\" class=\"edge\">\n",
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"<title>125535855508176->125535855506208*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2701.43,-55.46C2709.95,-56.64 2718.23,-57.79 2725.8,-58.84\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"2725.18,-62.29 2735.56,-60.19 2726.14,-55.35 2725.18,-62.29\"/>\n",
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"</g>\n",
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"<!-- 125535855508176**-1->125535855508176 -->\n",
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"<g id=\"edge6\" class=\"edge\">\n",
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"<title>125535855508176**-1->125535855508176</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2422.07,-39.51C2444.18,-39.92 2476.83,-40.53 2508.72,-41.12\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"2508.37,-44.61 2518.43,-41.3 2508.5,-37.62 2508.37,-44.61\"/>\n",
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"</g>\n",
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"<!-- 125535855505152 -->\n",
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"<g id=\"node20\" class=\"node\">\n",
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"<title>125535855505152</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"691.75,-72 691.75,-108 949,-108 949,-72 691.75,-72\"/>\n",
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"<text text-anchor=\"middle\" x=\"737.62\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">x1w1 + x2w2</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"783.5,-72.5 783.5,-108\"/>\n",
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"<text text-anchor=\"middle\" x=\"825.62\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -6.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"867.75,-72.5 867.75,-108\"/>\n",
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"<text text-anchor=\"middle\" x=\"908.38\" y=\"-85.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.5000</text>\n",
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"</g>\n",
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"<!-- 125535855505152->125535855496704+ -->\n",
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"<g id=\"edge26\" class=\"edge\">\n",
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"<title>125535855505152->125535855496704+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M949.43,-90C957.98,-90 966.1,-90 973.49,-90\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"973.28,-93.5 983.28,-90 973.28,-86.5 973.28,-93.5\"/>\n",
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"</g>\n",
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"<!-- 125535855505152+->125535855505152 -->\n",
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"<g id=\"edge7\" class=\"edge\">\n",
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"<title>125535855505152+->125535855505152</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M656.12,-90C663.13,-90 671.21,-90 679.95,-90\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"679.82,-93.5 689.82,-90 679.82,-86.5 679.82,-93.5\"/>\n",
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"</g>\n",
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"<!-- 125535855506208 -->\n",
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"<g id=\"node22\" class=\"node\">\n",
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"<title>125535855506208</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"2827,-46 2827,-82 3010.75,-82 3010.75,-46 2827,-46\"/>\n",
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"<text text-anchor=\"middle\" x=\"2838.38\" y=\"-59.2\" font-family=\"Times,serif\" font-size=\"14.00\">o</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"2849.75,-46.5 2849.75,-82\"/>\n",
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"<text text-anchor=\"middle\" x=\"2889.62\" y=\"-59.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.7071</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"2929.5,-46.5 2929.5,-82\"/>\n",
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"<text text-anchor=\"middle\" x=\"2970.12\" y=\"-59.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125535855506208*->125535855506208 -->\n",
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"<g id=\"edge8\" class=\"edge\">\n",
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"<title>125535855506208*->125535855506208</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M2791.28,-64C2798.42,-64 2806.61,-64 2815.32,-64\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"2815.06,-67.5 2825.06,-64 2815.06,-60.5 2815.06,-67.5\"/>\n",
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"</g>\n",
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"<!-- 125535855498096 -->\n",
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"<g id=\"node24\" class=\"node\">\n",
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"<title>125535855498096</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1075,-127 1075,-163 1294.75,-163 1294.75,-127 1075,-127\"/>\n",
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"<text text-anchor=\"middle\" x=\"1104.38\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 2</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1133.75,-127.5 1133.75,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"1173.62\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1213.5,-127.5 1213.5,-163\"/>\n",
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"<text text-anchor=\"middle\" x=\"1254.12\" y=\"-140.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.2203</text>\n",
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"</g>\n",
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"<!-- 125535855498096->125535855506352* -->\n",
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"<g id=\"edge14\" class=\"edge\">\n",
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"<title>125535855498096->125535855506352*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1267.21,-126.55C1276.57,-123.92 1285.92,-121.06 1294.75,-118 1304.88,-114.49 1315.63,-109.94 1325.28,-105.54\"/>\n",
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"<!-- 125535855506352 -->\n",
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},
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"# Inputs\n",
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"x1 = Value(2.0, label='x1')\n",
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"x2 = Value(0, label='x2')\n",
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"# Weights\n",
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"w1 = Value(-3.0, label='w1')\n",
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"w2 = Value(1.0, label='w2')\n",
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"\n",
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"# Bias\n",
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"b = Value(6.8813735870195432, label='b')\n",
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"\n",
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"# Cell body\n",
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"## Weights\n",
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"x1w1 = x1*w1; x1w1.label = 'x1 * w1'\n",
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"x2w2 = x2*w2; x2w2.label = 'x2 * w2'\n",
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"\n",
|
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"## Sum\n",
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"x1w1x2w2 = x1w1 + x2w2; x1w1x2w2.label = 'x1w1 + x2w2'\n",
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"\n",
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"## Add Bias\n",
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"n = x1w1x2w2 + b; n.label = 'n'\n",
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"\n",
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"\n",
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"\n",
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"#---\n",
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"e = (2*n).exp(); e.label = 'e'\n",
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"o = (e - 1) / (e + 1); o.label = 'o'\n",
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"#---\n",
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"#o = n.tanh(); o.label = 'o'\n",
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"\n",
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"o.backward()\n",
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"\n",
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"draw_dot(o)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 76,
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"id": "5d9675c6-ccb7-4c30-814f-cc2fd8e16ebc",
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"metadata": {},
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"outputs": [],
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"source": [
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"o.grad = 1.0\n",
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"o._backward()"
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]
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},
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{
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"metadata": {},
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"outputs": [
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"\n",
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" tag = str(id(self))\n",
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"\n",
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"<text text-anchor=\"middle\" x=\"4495.75\" y=\"-5593.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.7819</text>\n",
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"</g>\n",
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"<!-- 125323800597648+ -->\n",
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"<text text-anchor=\"middle\" x=\"4498\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.7819</text>\n",
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"<!-- 125323800597456->125323800597648+ -->\n",
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"<text text-anchor=\"middle\" x=\"5674.62\" y=\"-5208.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"5709.25,-5195.5 5709.25,-5231\"/>\n",
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"<title>125323800111168->125323800111264+</title>\n",
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"</g>\n",
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"<!-- 125323800599664+ -->\n",
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"<!-- 125323800080080->125323800078496+ -->\n",
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"<title>125323800080080->125323800078496+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1312.15,-2515C1321.36,-2515 1330.3,-2515 1338.43,-2515\"/>\n",
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"</g>\n",
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"<!-- 125323800080080*->125323800080080 -->\n",
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"<title>125323800080080*->125323800080080</title>\n",
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"</g>\n",
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"<!-- 125323800113088 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-2387 1126.5,-2423 1311.75,-2423 1311.75,-2387 1126.5,-2387\"/>\n",
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"<!-- 125323800113088->125323800078496+ -->\n",
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"<title>125323800113088->125323800078496+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1246.21,-2423.41C1274.56,-2443.41 1319.64,-2475.23 1348.52,-2495.61\"/>\n",
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"</g>\n",
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"<!-- 125323800113088+->125323800113088 -->\n",
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"<g id=\"edge219\" class=\"edge\">\n",
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"<title>125323800113088+->125323800113088</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1084.25,-2345.74C1105.46,-2355.13 1138.35,-2369.69 1166.22,-2382.02\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1164.67,-2385.17 1175.23,-2386.01 1167.51,-2378.77 1164.67,-2385.17\"/>\n",
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"</g>\n",
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"<!-- 125323800113184 -->\n",
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"<text text-anchor=\"middle\" x=\"423.88\" y=\"-2551.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: -1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-2538.5 460.75,-2574\"/>\n",
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"<text text-anchor=\"middle\" x=\"502.88\" y=\"-2551.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -1.0000</text>\n",
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"</g>\n",
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"<!-- 125323800113520* -->\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-2550.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"<title>125323800113184->125323800113520*</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.5,-2559.5 662.5,-2556 652.5,-2552.5 652.5,-2559.5\"/>\n",
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"</g>\n",
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"<!-- 125323800113520 -->\n",
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"<g id=\"node482\" class=\"node\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"783.75,-2318 783.75,-2354 969,-2354 969,-2318 783.75,-2318\"/>\n",
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"<text text-anchor=\"middle\" x=\"843.38\" y=\"-2331.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.2082</text>\n",
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"</g>\n",
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"<!-- 125323800113520->125323800113088+ -->\n",
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"<g id=\"edge441\" class=\"edge\">\n",
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"<title>125323800113520->125323800113088+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M969.35,-2336C988.2,-2336 1007.02,-2336 1022.61,-2336\"/>\n",
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"</g>\n",
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"<!-- 125323800113520*->125323800113520 -->\n",
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"<g id=\"edge220\" class=\"edge\">\n",
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"<title>125323800113520*->125323800113520</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M708.44,-2541.75C712.23,-2537.65 715.92,-2532.94 718.5,-2528 753.11,-2461.89 702.04,-2417.07 754.5,-2364 759.94,-2358.49 766.24,-2353.98 773.05,-2350.29\"/>\n",
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"</g>\n",
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"<!-- 125323804471808 -->\n",
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"</g>\n",
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"<title>125323804471808->125323800079312+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M601.21,-2391C619.51,-2391 637.7,-2391 652.84,-2391\"/>\n",
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"</g>\n",
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"<!-- 125323800082816 -->\n",
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"<g id=\"node485\" class=\"node\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"759,-2483 759,-2519 993.75,-2519 993.75,-2483 759,-2483\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"828.25,-2483.5 828.25,-2519\"/>\n",
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"<text text-anchor=\"middle\" x=\"868.12\" y=\"-2496.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5000</text>\n",
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"<!-- 125323800082816->125323800080080* -->\n",
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"<title>125323800082816->125323800080080*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M994.23,-2509.95C1004.43,-2510.73 1014.17,-2511.47 1022.89,-2512.14\"/>\n",
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"</g>\n",
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"<!-- 125323804474688 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"407.62,-2648 407.62,-2684 605.62,-2684 605.62,-2648 407.62,-2648\"/>\n",
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"<text text-anchor=\"middle\" x=\"423.88\" y=\"-2661.2\" font-family=\"Times,serif\" font-size=\"14.00\">w1</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"440.12,-2648.5 440.12,-2684\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"524.38,-2648.5 524.38,-2684\"/>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M595.95,-2684.48C607,-2687.37 618.07,-2690.55 628.5,-2694 638.54,-2697.32 649.2,-2701.65 658.79,-2705.86\"/>\n",
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"</g>\n",
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"<title>125323804474688->125323800599472*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M606.12,-2679.77C614.23,-2683.52 621.85,-2688.19 628.5,-2694 649.29,-2712.18 671.75,-2786.97 683.08,-2829\"/>\n",
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"</g>\n",
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"<title>125323804474688->125323800079408*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M599.58,-2647.54C609.42,-2644.94 619.22,-2642.1 628.5,-2639 638.68,-2635.61 649.43,-2631.1 659.08,-2626.69\"/>\n",
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"</g>\n",
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"<title>125323804474688->125323800113520*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M606.08,-2650.98C614.01,-2647.72 621.6,-2643.77 628.5,-2639 652.52,-2622.37 646.5,-2607.01 664.5,-2584 665.68,-2582.49 666.93,-2580.97 668.21,-2579.45\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"670.69,-2581.93 674.71,-2572.12 665.45,-2577.28 670.69,-2581.93\"/>\n",
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"</g>\n",
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"<!-- 125323800094784 -->\n",
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"<g id=\"node487\" class=\"node\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"389.25,-1985 389.25,-2021 624,-2021 624,-1985 389.25,-1985\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-1985.5 458.5,-2021\"/>\n",
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"<text text-anchor=\"middle\" x=\"498.38\" y=\"-1998.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"<!-- 125323800095024+ -->\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-1722.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800080848->125323800078064+ -->\n",
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"<g id=\"edge833\" class=\"edge\">\n",
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"<title>125323800080848->125323800078064+</title>\n",
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"</g>\n",
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"<!-- 125323800080848* -->\n",
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"<title>125323800080848*</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-1893\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-1887.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125323800080848*->125323800080848 -->\n",
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"<g id=\"edge244\" class=\"edge\">\n",
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"<title>125323800080848*->125323800080848</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M708.3,-1878.68C712.09,-1874.58 715.82,-1869.88 718.5,-1865 748.83,-1809.83 709.34,-1771.86 754.5,-1728 759.52,-1723.13 765.21,-1719.04 771.33,-1715.61\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"772.44,-1718.97 779.88,-1711.43 769.36,-1712.68 772.44,-1718.97\"/>\n",
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"</g>\n",
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"<!-- 125323800080944 -->\n",
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"<g id=\"node545\" class=\"node\">\n",
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"<title>125323800080944</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-1875 391.5,-1911 621.75,-1911 621.75,-1875 391.5,-1875\"/>\n",
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"<text text-anchor=\"middle\" x=\"426.12\" y=\"-1888.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-1875.5 460.75,-1911\"/>\n",
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"<text text-anchor=\"middle\" x=\"500.62\" y=\"-1888.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"540.5,-1875.5 540.5,-1911\"/>\n",
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"<text text-anchor=\"middle\" x=\"581.12\" y=\"-1888.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0315</text>\n",
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"<!-- 125323800080944->125323800080848* -->\n",
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"<title>125323800080944->125323800080848*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M622.14,-1893C633.05,-1893 643.5,-1893 652.79,-1893\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.78,-1896.5 662.78,-1893 652.78,-1889.5 652.78,-1896.5\"/>\n",
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"</g>\n",
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"<!-- 125323800080992 -->\n",
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"<g id=\"node546\" class=\"node\">\n",
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"<title>125323800080992</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"783.75,-1627 783.75,-1663 969,-1663 969,-1627 783.75,-1627\"/>\n",
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"<text text-anchor=\"middle\" x=\"793.62\" y=\"-1640.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-1627.5 803.5,-1663\"/>\n",
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"<text text-anchor=\"middle\" x=\"843.38\" y=\"-1640.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.6555</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"883.25,-1627.5 883.25,-1663\"/>\n",
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"<text text-anchor=\"middle\" x=\"926.12\" y=\"-1640.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.0519</text>\n",
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"</g>\n",
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"<!-- 125323800080992->125323800078064+ -->\n",
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"<g id=\"edge447\" class=\"edge\">\n",
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"<title>125323800080992->125323800078064+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M965.7,-1663.48C976.75,-1666.37 987.82,-1669.55 998.25,-1673 1008.29,-1676.32 1018.95,-1680.65 1028.54,-1684.86\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1026.89,-1687.96 1037.44,-1688.89 1029.77,-1681.58 1026.89,-1687.96\"/>\n",
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"</g>\n",
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"<!-- 125323800080992+->125323800080992 -->\n",
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"<g id=\"edge245\" class=\"edge\">\n",
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"<title>125323800080992+->125323800080992</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M718.7,-1645C733.22,-1645 752.31,-1645 772.15,-1645\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"772.05,-1648.5 782.05,-1645 772.05,-1641.5 772.05,-1648.5\"/>\n",
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"</g>\n",
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"<!-- 125323800081088 -->\n",
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"<g id=\"node548\" class=\"node\">\n",
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"<title>125323800081088</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"24,-1600 24,-1636 258.75,-1636 258.75,-1600 24,-1600\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-1600.5 93.25,-1636\"/>\n",
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"<text text-anchor=\"middle\" x=\"133.12\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
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"<!-- 125323800081088->125323800080704* -->\n",
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"<title>125323800081088->125323800080704*</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-1621.5 293.03,-1618 283.03,-1614.5 283.03,-1621.5\"/>\n",
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"</g>\n",
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"<!-- 125323800081232 -->\n",
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"<g id=\"node549\" class=\"node\">\n",
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"<title>125323800081232</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1124.25,-1895 1124.25,-1931 1314,-1931 1314,-1895 1124.25,-1895\"/>\n",
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"<text text-anchor=\"middle\" x=\"1134.12\" y=\"-1908.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1144,-1895.5 1144,-1931\"/>\n",
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"<text text-anchor=\"middle\" x=\"1186.12\" y=\"-1908.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.2780</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1228.25,-1895.5 1228.25,-1931\"/>\n",
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"</g>\n",
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"<!-- 125323800081232->125323800081904+ -->\n",
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"<title>125323800081232->125323800081904+</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1338.02,-1916.5 1348.02,-1913 1338.02,-1909.5 1338.02,-1916.5\"/>\n",
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"</g>\n",
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"<!-- 125323800081232*->125323800081232 -->\n",
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"<g id=\"edge246\" class=\"edge\">\n",
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"<title>125323800081232*->125323800081232</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1913C1095.84,-1913 1104.03,-1913 1112.74,-1913\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1112.51,-1916.5 1122.51,-1913 1112.51,-1909.5 1112.51,-1916.5\"/>\n",
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"</g>\n",
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"<!-- 125323800081424 -->\n",
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"<g id=\"node551\" class=\"node\">\n",
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"<title>125323800081424</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"754.5,-1792 754.5,-1828 998.25,-1828 998.25,-1792 754.5,-1792\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"828.25,-1792.5 828.25,-1828\"/>\n",
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"<!-- 125323800081424->125323800081232* -->\n",
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"<g id=\"edge552\" class=\"edge\">\n",
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"<title>125323800081424->125323800081232*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M979.59,-1828.47C986.1,-1831.22 992.39,-1834.37 998.25,-1838 1017.53,-1849.92 1033.63,-1869.94 1044.58,-1886.3\"/>\n",
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"</g>\n",
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"<!-- 125323800081520 -->\n",
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"<g id=\"node552\" class=\"node\">\n",
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"<title>125323800081520</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1762.12,-2067 1762.12,-2103 1951.88,-2103 1951.88,-2067 1762.12,-2067\"/>\n",
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"<text text-anchor=\"middle\" x=\"1772\" y=\"-2080.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1781.88,-2067.5 1781.88,-2103\"/>\n",
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"<text text-anchor=\"middle\" x=\"1824\" y=\"-2080.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.8938</text>\n",
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"<text text-anchor=\"middle\" x=\"1909\" y=\"-2080.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.2581</text>\n",
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"</g>\n",
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"<!-- 125323800081520->125323800102528* -->\n",
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"<title>125323800081520->125323800102528*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1952.07,-2099.3C1958.03,-2102.99 1963.41,-2107.5 1967.88,-2113 2011.33,-2166.53 1970.26,-2668.36 1994.25,-2733 2016.71,-2793.52 2030.8,-2810.8 2084.25,-2847 2161.97,-2899.64 2229.83,-2832.36 2286.75,-2907 2346.29,-2985.07 2285.11,-4583.32 2322.75,-4674 2323.39,-4675.54 2324.16,-4677.04 2325.03,-4678.5\"/>\n",
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"<!-- 125323800081520->125323800104400* -->\n",
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"<title>125323800081520->125323800104400*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1951.9,-2099.45C1957.89,-2103.1 1963.33,-2107.56 1967.88,-2113 2021.01,-2176.6 1956.78,-2411.08 1994.25,-2485 2071.31,-2637.02 2213.15,-2579.27 2286.75,-2733 2354.66,-2874.86 2262.09,-4002.9 2322.75,-4148 2323.39,-4149.54 2324.17,-4151.04 2325.04,-4152.5\"/>\n",
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"<title>125323800081520->125323800106416*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1952.2,-2102.34C1957.81,-2105.36 1963.11,-2108.88 1967.88,-2113 2018.58,-2156.75 2037.31,-2343.23 2084.25,-2391 2153.15,-2461.13 2231.72,-2398.54 2286.75,-2480 2357.81,-2585.2 2273.43,-3505.02 2322.75,-3622 2323.4,-3623.54 2324.18,-3625.04 2325.05,-3626.49\"/>\n",
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"<title>125323800081520->125323800108480*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1945.06,-2103.4C1952.94,-2106.19 1960.66,-2109.37 1967.88,-2113 2131,-2195.01 2204.34,-2209.08 2286.75,-2372 2362.07,-2520.89 2256.66,-2968.79 2322.75,-3122 2323.33,-3123.34 2324.01,-3124.66 2324.76,-3125.94\"/>\n",
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"</g>\n",
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"<!-- 125323800081520tanh -->\n",
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"<g id=\"node553\" class=\"node\">\n",
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"<title>125323800081520tanh</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1692.75\" cy=\"-1995\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1692.75\" y=\"-1989.95\" font-family=\"Times,serif\" font-size=\"14.00\">tanh</text>\n",
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"<!-- 125323800081520tanh->125323800081520 -->\n",
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"<title>125323800081520tanh->125323800081520</title>\n",
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"<title>125323800081904->125323800081520tanh</title>\n",
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"<!-- 125323804467968->125323800112416+ -->\n",
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"<title>125323804467968->125323800112416+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M598.94,-913.04C609.36,-909.43 619.47,-904.84 628.5,-899 649.68,-885.29 666.26,-861.69 676.93,-843.15\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-893.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"<!-- 125323800602352 -->\n",
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"<text text-anchor=\"middle\" x=\"60.88\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-1018.5 95.5,-1054\"/>\n",
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"<text text-anchor=\"middle\" x=\"135.38\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"</g>\n",
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"<!-- 125323800602400* -->\n",
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"<text text-anchor=\"middle\" x=\"321.75\" y=\"-1030.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<title>125323800602352->125323800602400*</title>\n",
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"</g>\n",
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"<!-- 125323800602400 -->\n",
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"<text text-anchor=\"middle\" x=\"473.62\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.6748</text>\n",
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"</g>\n",
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"<!-- 125323800602400->125323800602592+ -->\n",
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"<title>125323800602400->125323800602592+</title>\n",
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"</g>\n",
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"<!-- 125323800602400*->125323800602400 -->\n",
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"<title>125323800602400*->125323800602400</title>\n",
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"</g>\n",
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"<!-- 125323800602592 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-1376 781.5,-1412 971.25,-1412 971.25,-1376 781.5,-1376\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-1376.5 801.25,-1412\"/>\n",
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"</g>\n",
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"<g id=\"node587\" class=\"node\">\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1061.25\" cy=\"-1394\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1388.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800602592->125323800603024+ -->\n",
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"<g id=\"edge511\" class=\"edge\">\n",
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"<title>125323800602592->125323800603024+</title>\n",
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"</g>\n",
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"<!-- 125323800602592+->125323800602592 -->\n",
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"<g id=\"edge257\" class=\"edge\">\n",
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"<title>125323800602592+->125323800602592</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M708.77,-1050.09C712.56,-1054.19 716.16,-1058.94 718.5,-1064 746.97,-1125.54 709.05,-1316.68 754.5,-1367 759.32,-1372.34 764.95,-1376.75 771.09,-1380.37\"/>\n",
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"</g>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-1375 391.5,-1411 621.75,-1411 621.75,-1375 391.5,-1375\"/>\n",
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"<text text-anchor=\"middle\" x=\"426.12\" y=\"-1388.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-1375.5 460.75,-1411\"/>\n",
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"</g>\n",
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"<!-- 125323800602832 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-1431 781.5,-1467 971.25,-1467 971.25,-1431 781.5,-1431\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-1431.5 801.25,-1467\"/>\n",
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"<title>125323800602832->125323800603024+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M969.33,-1430.54C979.17,-1427.94 988.97,-1425.1 998.25,-1422 1008.43,-1418.61 1019.18,-1414.1 1028.83,-1409.69\"/>\n",
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"</g>\n",
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"<!-- 125323800602832*->125323800602832 -->\n",
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"<title>125323800602832*->125323800602832</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M713.26,-1404.1C725.09,-1410.07 740.33,-1417.17 754.5,-1422 760.22,-1423.95 766.15,-1425.8 772.16,-1427.55\"/>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1124.25,-1376 1124.25,-1412 1314,-1412 1314,-1376 1124.25,-1376\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1144,-1376.5 1144,-1412\"/>\n",
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"</g>\n",
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"<!-- 125323800603456+ -->\n",
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"<g id=\"node592\" class=\"node\">\n",
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"<text text-anchor=\"middle\" x=\"1377\" y=\"-1388.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800603024+->125323800603024 -->\n",
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"<title>125323800603024+->125323800603024</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1394C1095.84,-1394 1104.03,-1394 1112.74,-1394\"/>\n",
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"<text text-anchor=\"middle\" x=\"791.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: -1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"828.25,-1321.5 828.25,-1357\"/>\n",
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"<text text-anchor=\"middle\" x=\"870.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -1.0000</text>\n",
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"</g>\n",
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"<!-- 125323800603216->125323800603264* -->\n",
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"<title>125323800603216->125323800603264*</title>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1144,-1321.5 1144,-1357\"/>\n",
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"</g>\n",
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"<!-- 125323800083872+ -->\n",
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"<g id=\"node630\" class=\"node\">\n",
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"<title>125323800083872+</title>\n",
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"<text text-anchor=\"middle\" x=\"1377\" y=\"-1161.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800080176->125323800083872+ -->\n",
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"<title>125323800080176->125323800083872+</title>\n",
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"</g>\n",
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"<!-- 125323800080176* -->\n",
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"<title>125323800080176*</title>\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1161.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"<!-- 125323800080176*->125323800080176 -->\n",
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"<g id=\"edge267\" class=\"edge\">\n",
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"<title>125323800080176*->125323800080176</title>\n",
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"</g>\n",
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"<!-- 125323800114144 -->\n",
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"<!-- 125323800114144->125323800112512+ -->\n",
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"<title>125323800114144->125323800112512+</title>\n",
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"</g>\n",
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"<!-- 125323800114144* -->\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1010.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125323800114144*->125323800114144 -->\n",
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"<g id=\"edge268\" class=\"edge\">\n",
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"<title>125323800114144*->125323800114144</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1016C1096.98,-1016 1106.68,-1016 1116.98,-1016\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1116.83,-1019.5 1126.83,-1016 1116.83,-1012.5 1116.83,-1019.5\"/>\n",
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"</g>\n",
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"<!-- 125323800114192 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"384.75,-1073 384.75,-1109 628.5,-1109 628.5,-1073 384.75,-1073\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-1073.5 458.5,-1109\"/>\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-948.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"<!-- 125323800114528->125323800114960+ -->\n",
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"<title>125323800114528->125323800114960+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M967.21,-844C986.83,-844 1006.55,-844 1022.76,-844\"/>\n",
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"</g>\n",
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"<title>125323800114528*->125323800114528</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M708.54,-1076.8C712.33,-1072.7 715.99,-1067.97 718.5,-1063 757.42,-985.88 694.69,-934.33 754.5,-872 760.46,-865.79 767.51,-860.83 775.16,-856.89\"/>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-853 26.25,-889 256.5,-889 256.5,-853 26.25,-853\"/>\n",
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"<text text-anchor=\"middle\" x=\"135.38\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"321.75\" cy=\"-871\" rx=\"27\" ry=\"18\"/>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M256.86,-871C266.14,-871 275.02,-871 283.05,-871\"/>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"761.25,-991 761.25,-1027 991.5,-1027 991.5,-991 761.25,-991\"/>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M991.89,-1013.38C1002.8,-1013.8 1013.25,-1014.2 1022.54,-1014.56\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-888.5 1146.25,-924\"/>\n",
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"<title>125323800114960->125323800112512+</title>\n",
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"</g>\n",
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"<!-- 125323800112464*->125323800112464 -->\n",
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"<g id=\"edge285\" class=\"edge\">\n",
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"<title>125323800112464*->125323800112464</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M708.54,-331.8C712.33,-327.7 715.99,-322.98 718.5,-318 757.58,-240.47 694.42,-188.68 754.5,-126 759.39,-120.9 765.01,-116.64 771.1,-113.1\"/>\n",
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"<!-- 125323800604032 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-273 26.25,-309 256.5,-309 256.5,-273 26.25,-273\"/>\n",
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"<text text-anchor=\"middle\" x=\"60.88\" y=\"-286.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-273.5 95.5,-309\"/>\n",
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"<text text-anchor=\"middle\" x=\"135.38\" y=\"-286.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"<text text-anchor=\"middle\" x=\"215.88\" y=\"-286.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0128</text>\n",
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"<!-- 125323800604080* -->\n",
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"<g id=\"node655\" class=\"node\">\n",
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"<title>125323800604080*</title>\n",
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"<text text-anchor=\"middle\" x=\"321.75\" y=\"-285.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125323800604032->125323800604080* -->\n",
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"<title>125323800604032->125323800604080*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M256.86,-291C266.14,-291 275.02,-291 283.05,-291\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-294.5 293.03,-291 283.03,-287.5 283.03,-294.5\"/>\n",
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"</g>\n",
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"<!-- 125323800604080 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"411.75,-273 411.75,-309 601.5,-309 601.5,-273 411.75,-273\"/>\n",
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"<text text-anchor=\"middle\" x=\"421.62\" y=\"-286.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"431.5,-273.5 431.5,-309\"/>\n",
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"<text text-anchor=\"middle\" x=\"473.62\" y=\"-286.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.6622</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"515.75,-273.5 515.75,-309\"/>\n",
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"</g>\n",
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"<!-- 125323800604272+ -->\n",
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"<g id=\"node659\" class=\"node\">\n",
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"<title>125323800604272+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-291\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-285.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800604080->125323800604272+ -->\n",
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"<g id=\"edge752\" class=\"edge\">\n",
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"<title>125323800604080->125323800604272+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M601.74,-291C619.83,-291 637.79,-291 652.76,-291\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.57,-294.5 662.57,-291 652.57,-287.5 652.57,-294.5\"/>\n",
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"</g>\n",
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"<!-- 125323800604080*->125323800604080 -->\n",
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"<g id=\"edge286\" class=\"edge\">\n",
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"<title>125323800604080*->125323800604080</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M348.95,-291C362.9,-291 381.09,-291 400.1,-291\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"399.85,-294.5 409.85,-291 399.85,-287.5 399.85,-294.5\"/>\n",
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"</g>\n",
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"<!-- 125323800112656 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-465 1126.5,-501 1311.75,-501 1311.75,-465 1126.5,-465\"/>\n",
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"<text text-anchor=\"middle\" x=\"1136.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-465.5 1146.25,-501\"/>\n",
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"<text text-anchor=\"middle\" x=\"1186.12\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5942</text>\n",
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"</g>\n",
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"<!-- 125323800112656->125323800077248+ -->\n",
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"<g id=\"edge851\" class=\"edge\">\n",
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"<title>125323800112656->125323800077248+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1285.6,-501.42C1295.19,-504.44 1304.89,-507.67 1314,-511 1323.85,-514.6 1334.38,-518.98 1343.92,-523.15\"/>\n",
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"</g>\n",
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"<!-- 125323800112656+->125323800112656 -->\n",
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"<title>125323800112656+->125323800112656</title>\n",
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"</g>\n",
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"<!-- 125323800604272 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-630 781.5,-666 971.25,-666 971.25,-630 781.5,-630\"/>\n",
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"</g>\n",
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"<!-- 125323800604704+ -->\n",
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"<g id=\"node665\" class=\"node\">\n",
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"<title>125323800604704+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1061.25\" cy=\"-689\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-683.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800604272->125323800604704+ -->\n",
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"<g id=\"edge405\" class=\"edge\">\n",
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"<title>125323800604272->125323800604704+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M959.72,-666.46C982.38,-671.54 1005.79,-676.79 1024.32,-680.94\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1023.45,-684.34 1033.97,-683.11 1024.98,-677.5 1023.45,-684.34\"/>\n",
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"</g>\n",
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"<!-- 125323800604272+->125323800604272 -->\n",
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"<g id=\"edge288\" class=\"edge\">\n",
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"<title>125323800604272+->125323800604272</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M708.77,-305.09C712.56,-309.19 716.16,-313.94 718.5,-319 746.89,-380.33 709.19,-570.86 754.5,-621 759.33,-626.34 764.95,-630.74 771.1,-634.37\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"769.27,-637.37 779.77,-638.76 772.43,-631.12 769.27,-637.37\"/>\n",
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"</g>\n",
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"<!-- 125323800604464 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"389.25,-616 389.25,-652 624,-652 624,-616 389.25,-616\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-616.5 458.5,-652\"/>\n",
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"<text text-anchor=\"middle\" x=\"498.38\" y=\"-629.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"<title>125323800604464->125323800604512*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M624.48,-634C634.47,-634 644.02,-634 652.6,-634\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.52,-637.5 662.52,-634 652.52,-630.5 652.52,-637.5\"/>\n",
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"</g>\n",
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"<!-- 125323800604512 -->\n",
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"<g id=\"node661\" class=\"node\">\n",
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"<title>125323800604512</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"783.75,-685 783.75,-721 969,-721 969,-685 783.75,-685\"/>\n",
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"<text text-anchor=\"middle\" x=\"793.62\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-685.5 803.5,-721\"/>\n",
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"<text text-anchor=\"middle\" x=\"843.38\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.7346</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"883.25,-685.5 883.25,-721\"/>\n",
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"</g>\n",
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"<!-- 125323800604512->125323800604704+ -->\n",
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"<g id=\"edge707\" class=\"edge\">\n",
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"<title>125323800604512->125323800604704+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M969.35,-695.96C988.34,-694.5 1007.31,-693.05 1022.96,-691.85\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1023.02,-695.36 1032.72,-691.11 1022.49,-688.38 1023.02,-695.36\"/>\n",
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"</g>\n",
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"<!-- 125323800604512*->125323800604512 -->\n",
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"<g id=\"edge289\" class=\"edge\">\n",
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"<title>125323800604512*->125323800604512</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M709.38,-648.01C721.3,-657.24 738.03,-668.89 754.5,-676 760.38,-678.54 766.53,-680.85 772.8,-682.96\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"771.43,-686.19 782.01,-685.86 773.53,-679.52 771.43,-686.19\"/>\n",
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"</g>\n",
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"<!-- 125323800113136 -->\n",
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"<g id=\"node663\" class=\"node\">\n",
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"<title>125323800113136</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-53 26.25,-89 256.5,-89 256.5,-53 26.25,-53\"/>\n",
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"<text text-anchor=\"middle\" x=\"60.88\" y=\"-66.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-53.5 95.5,-89\"/>\n",
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"<text text-anchor=\"middle\" x=\"135.38\" y=\"-66.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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"<text text-anchor=\"middle\" x=\"215.88\" y=\"-66.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0052</text>\n",
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"<!-- 125323800113136->125323800112224* -->\n",
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"<title>125323800113136->125323800112224*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M256.86,-71C266.14,-71 275.02,-71 283.05,-71\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-74.5 293.03,-71 283.03,-67.5 283.03,-74.5\"/>\n",
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"</g>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-671 1126.5,-707 1311.75,-707 1311.75,-671 1126.5,-671\"/>\n",
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"<text text-anchor=\"middle\" x=\"1136.38\" y=\"-684.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-671.5 1146.25,-707\"/>\n",
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"<text text-anchor=\"middle\" x=\"1186.12\" y=\"-684.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.2632</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1226,-671.5 1226,-707\"/>\n",
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"<text text-anchor=\"middle\" x=\"1268.88\" y=\"-684.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.0193</text>\n",
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"</g>\n",
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"<!-- 125323800605136+ -->\n",
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"<g id=\"node671\" class=\"node\">\n",
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"<title>125323800605136+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1377\" cy=\"-689\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1377\" y=\"-683.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323800604704->125323800605136+ -->\n",
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"<g id=\"edge539\" class=\"edge\">\n",
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"<title>125323800604704->125323800605136+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1312.15,-689C1321.36,-689 1330.3,-689 1338.43,-689\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1338.19,-692.5 1348.19,-689 1338.19,-685.5 1338.19,-692.5\"/>\n",
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"</g>\n",
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"<!-- 125323800604704+->125323800604704 -->\n",
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"<g id=\"edge290\" class=\"edge\">\n",
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"<title>125323800604704+->125323800604704</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-689C1096.37,-689 1105.26,-689 1114.7,-689\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1114.5,-692.5 1124.5,-689 1114.5,-685.5 1114.5,-692.5\"/>\n",
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"</g>\n",
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"<!-- 125323800604896 -->\n",
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"<g id=\"node666\" class=\"node\">\n",
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"<title>125323800604896</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"756.75,-575 756.75,-611 996,-611 996,-575 756.75,-575\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-575.5 830.5,-611\"/>\n",
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"<text text-anchor=\"middle\" x=\"872.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -1.0000</text>\n",
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"<!-- 125323800604944 -->\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-602.5 1146.25,-638\"/>\n",
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"ypred = [n(x) for x in xs]\n",
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"ypred\n",
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{
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}
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"ypred = [n(x) for x in xs]\n",
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"<g id=\"clust3\" class=\"cluster\">\n",
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"<title>cluster_125323595408080</title>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"</g>\n",
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"<title>cluster_125323595401648</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"3676.25,-5178 3676.25,-5737 7894.75,-5737 7894.75,-5178 3676.25,-5178\"/>\n",
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"</g>\n",
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"<g id=\"clust12\" class=\"cluster\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"3684.25,-5186 3684.25,-5704 7886.75,-5704 7886.75,-5186 3684.25,-5186\"/>\n",
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"</g>\n",
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"<!-- 125323594235776 -->\n",
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"<g id=\"node1\" class=\"node\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"754.5,-2813 754.5,-2849 998.25,-2849 998.25,-2813 754.5,-2813\"/>\n",
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"<title>125323594220512*</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"1061.25\" cy=\"-2831\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-2825.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125323594235776->125323594220512* -->\n",
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"<title>125323594235776->125323594220512*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M998.59,-2831C1007.09,-2831 1015.2,-2831 1022.59,-2831\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1022.4,-2834.5 1032.4,-2831 1022.4,-2827.5 1022.4,-2834.5\"/>\n",
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"</g>\n",
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"<!-- 125323595877936 -->\n",
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"<title>125323595877936</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-2620 391.5,-2656 621.75,-2656 621.75,-2620 391.5,-2620\"/>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-2638\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-2632.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-2385.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<title>125323800064512->125323595888496+</title>\n",
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"</g>\n",
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"<g id=\"node72\" class=\"node\">\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-2440.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"<title>125323595888496->125323609734272+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M965.7,-2409.48C976.75,-2412.37 987.82,-2415.55 998.25,-2419 1008.29,-2422.32 1018.95,-2426.65 1028.54,-2430.86\"/>\n",
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"<title>125323595888496+->125323595888496</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M718.7,-2391C733.7,-2391 753.59,-2391 774.14,-2391\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"774.09,-2394.5 784.09,-2391 774.09,-2387.5 774.09,-2394.5\"/>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-2345 26.25,-2381 256.5,-2381 256.5,-2345 26.25,-2345\"/>\n",
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"<title>125323800067488->125323800064512*</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-2366.5 293.03,-2363 283.03,-2359.5 283.03,-2366.5\"/>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"786,-2923 786,-2959 966.75,-2959 966.75,-2923 786,-2923\"/>\n",
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"<title>125323594219744->125323594222384+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M967.21,-2934.12C986.98,-2932.61 1006.85,-2931.09 1023.12,-2929.84\"/>\n",
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"<title>125323597143152*->125323597143152</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M348.95,-70C363.47,-70 382.56,-70 402.4,-70\"/>\n",
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"</g>\n",
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"<!-- 125323595406496 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"407.62,-437 407.62,-473 605.62,-473 605.62,-437 407.62,-437\"/>\n",
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"<text text-anchor=\"middle\" x=\"423.88\" y=\"-450.2\" font-family=\"Times,serif\" font-size=\"14.00\">w1</text>\n",
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"<text text-anchor=\"middle\" x=\"482.25\" y=\"-450.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.2720</text>\n",
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"<text text-anchor=\"middle\" x=\"565\" y=\"-450.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0011</text>\n",
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"</g>\n",
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"<!-- 125323595406496->125323597137008* -->\n",
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"<g id=\"edge564\" class=\"edge\">\n",
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"<title>125323595406496->125323597137008*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M606.08,-439.98C614.01,-436.72 621.6,-432.77 628.5,-428 652.52,-411.37 646.5,-396.01 664.5,-373 665.68,-371.49 666.93,-369.97 668.21,-368.45\"/>\n",
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"<!-- 125323595406496->125323609723040* -->\n",
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"<title>125323595406496->125323609723040*</title>\n",
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"</g>\n",
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"<!-- 125323597406112* -->\n",
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"<title>125323597406112*</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-483\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-477.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125323595406496->125323597406112* -->\n",
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"<g id=\"edge671\" class=\"edge\">\n",
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"<title>125323595406496->125323597406112*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M606.02,-470.07C623.06,-472.67 639.78,-475.23 653.78,-477.38\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.95,-480.79 663.36,-478.85 654.01,-473.87 652.95,-480.79\"/>\n",
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"</g>\n",
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"<!-- 125323594235584* -->\n",
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"<g id=\"node216\" class=\"node\">\n",
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"<title>125323594235584*</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-634\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-628.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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"</g>\n",
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"<!-- 125323595406496->125323594235584* -->\n",
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"<g id=\"edge689\" class=\"edge\">\n",
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"<title>125323595406496->125323594235584*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M605.95,-468.97C614.1,-472.68 621.77,-477.28 628.5,-483 665.11,-514.11 680.42,-570.23 686.59,-604.59\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"683.1,-604.97 688.16,-614.27 690.01,-603.84 683.1,-604.97\"/>\n",
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"</g>\n",
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"<!-- 125323609726736 -->\n",
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"<g id=\"node182\" class=\"node\">\n",
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"<title>125323609726736</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"389.25,-382 389.25,-418 624,-418 624,-382 389.25,-382\"/>\n",
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"<text text-anchor=\"middle\" x=\"423.88\" y=\"-395.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-382.5 458.5,-418\"/>\n",
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"<text text-anchor=\"middle\" x=\"498.38\" y=\"-395.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"538.25,-382.5 538.25,-418\"/>\n",
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"<text text-anchor=\"middle\" x=\"581.12\" y=\"-395.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.0007</text>\n",
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"</g>\n",
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"<!-- 125323609726736->125323609723040* -->\n",
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"<title>125323609726736->125323609723040*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M624.48,-400C634.47,-400 644.02,-400 652.6,-400\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.52,-403.5 662.52,-400 652.52,-396.5 652.52,-403.5\"/>\n",
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"</g>\n",
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"<!-- 125323609726784 -->\n",
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"<g id=\"node183\" class=\"node\">\n",
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"<title>125323609726784</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-321 1126.5,-357 1311.75,-357 1311.75,-321 1126.5,-321\"/>\n",
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"<text text-anchor=\"middle\" x=\"1136.38\" y=\"-334.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-321.5 1146.25,-357\"/>\n",
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"<text text-anchor=\"middle\" x=\"1188.38\" y=\"-334.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.6439</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"1230.5,-321.5 1230.5,-357\"/>\n",
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"<text text-anchor=\"middle\" x=\"1271.12\" y=\"-334.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0024</text>\n",
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"</g>\n",
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"<!-- 125323609726784->125323609725248+ -->\n",
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"<g id=\"edge705\" class=\"edge\">\n",
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"<title>125323609726784->125323609725248+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1255.11,-357.4C1282.09,-371.6 1319.06,-391.04 1344.99,-404.68\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1343.2,-407.7 1353.68,-409.26 1346.46,-401.51 1343.2,-407.7\"/>\n",
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"</g>\n",
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"<!-- 125323609726784+->125323609726784 -->\n",
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"<g id=\"edge72\" class=\"edge\">\n",
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"<title>125323609726784+->125323609726784</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1072.54,-224.71C1089.2,-251.67 1120.6,-302.08 1124.25,-305 1129.28,-309.02 1134.83,-312.6 1140.63,-315.76\"/>\n",
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"</g>\n",
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"<g id=\"node185\" class=\"node\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-465 781.5,-501 971.25,-501 971.25,-465 781.5,-465\"/>\n",
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"<text text-anchor=\"middle\" x=\"791.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-465.5 801.25,-501\"/>\n",
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"<text text-anchor=\"middle\" x=\"843.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -0.2720</text>\n",
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"<text text-anchor=\"middle\" x=\"928.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.0165</text>\n",
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"</g>\n",
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"<!-- 125323597406112->125323597402368+ -->\n",
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"<g id=\"edge821\" class=\"edge\">\n",
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"<title>125323597406112->125323597402368+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M971.49,-483C989.58,-483 1007.54,-483 1022.51,-483\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1022.32,-486.5 1032.32,-483 1022.32,-479.5 1022.32,-486.5\"/>\n",
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"</g>\n",
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"<!-- 125323597406112*->125323597406112 -->\n",
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"<g id=\"edge73\" class=\"edge\">\n",
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"<title>125323597406112*->125323597406112</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M718.7,-483C732.65,-483 750.84,-483 769.85,-483\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"769.6,-486.5 779.6,-483 769.6,-479.5 769.6,-486.5\"/>\n",
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"</g>\n",
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"<!-- 125323609727216 -->\n",
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"<g id=\"node187\" class=\"node\">\n",
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"<title>125323609727216</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-107 26.25,-143 256.5,-143 256.5,-107 26.25,-107\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-107.5 95.5,-143\"/>\n",
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"<text text-anchor=\"middle\" x=\"215.88\" y=\"-120.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0002</text>\n",
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"</g>\n",
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"<!-- 125323609727216->125323609724480* -->\n",
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"<g id=\"edge796\" class=\"edge\">\n",
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"<title>125323609727216->125323609724480*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M256.86,-125C266.14,-125 275.02,-125 283.05,-125\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-128.5 293.03,-125 283.03,-121.5 283.03,-128.5\"/>\n",
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"</g>\n",
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"<!-- 125323597144448 -->\n",
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"<g id=\"node188\" class=\"node\">\n",
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"<title>125323597144448</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"24,-217 24,-253 258.75,-253 258.75,-217 24,-217\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-217.5 93.25,-253\"/>\n",
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"<text text-anchor=\"middle\" x=\"133.12\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"173,-217.5 173,-253\"/>\n",
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"<text text-anchor=\"middle\" x=\"215.88\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.0015</text>\n",
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"</g>\n",
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"<!-- 125323597144448->125323597407264* -->\n",
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"<g id=\"edge762\" class=\"edge\">\n",
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"<title>125323597144448->125323597407264*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M258.86,-235C267.44,-235 275.64,-235 283.1,-235\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-238.5 293.03,-235 283.03,-231.5 283.03,-238.5\"/>\n",
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"</g>\n",
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"<!-- 125323594228384 -->\n",
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"<g id=\"node189\" class=\"node\">\n",
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"<title>125323594228384</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"756.75,-575 756.75,-611 996,-611 996,-575 756.75,-575\"/>\n",
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"<text text-anchor=\"middle\" x=\"793.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: -1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-575.5 830.5,-611\"/>\n",
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"<text text-anchor=\"middle\" x=\"872.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -1.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"914.75,-575.5 914.75,-611\"/>\n",
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"<text text-anchor=\"middle\" x=\"955.38\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0074</text>\n",
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"</g>\n",
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"<!-- 125323594228384->125323594222720* -->\n",
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"<g id=\"edge437\" class=\"edge\">\n",
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"<title>125323594228384->125323594222720*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M996.29,-593C1005.53,-593 1014.36,-593 1022.35,-593\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"1022.25,-596.5 1032.25,-593 1022.25,-589.5 1022.25,-596.5\"/>\n",
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"</g>\n",
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"<!-- 125323597144832 -->\n",
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"<g id=\"node190\" class=\"node\">\n",
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"<title>125323597144832</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"24,-52 24,-88 258.75,-88 258.75,-52 24,-52\"/>\n",
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"<text text-anchor=\"middle\" x=\"58.62\" y=\"-65.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-52.5 93.25,-88\"/>\n",
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"<text text-anchor=\"middle\" x=\"133.12\" y=\"-65.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"173,-52.5 173,-88\"/>\n",
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"<text text-anchor=\"middle\" x=\"215.88\" y=\"-65.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.0002</text>\n",
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"</g>\n",
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"<!-- 125323597144832->125323597143152* -->\n",
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"<g id=\"edge468\" class=\"edge\">\n",
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"<title>125323597144832->125323597143152*</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M258.86,-70C267.44,-70 275.64,-70 283.1,-70\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-73.5 293.03,-70 283.03,-66.5 283.03,-73.5\"/>\n",
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"</g>\n",
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"<!-- 125323594228528 -->\n",
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"<g id=\"node191\" class=\"node\">\n",
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"<title>125323594228528</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"416.25,-272 416.25,-308 597,-308 597,-272 416.25,-272\"/>\n",
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"<text text-anchor=\"middle\" x=\"426.12\" y=\"-285.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"436,-272.5 436,-308\"/>\n",
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"<text text-anchor=\"middle\" x=\"475.88\" y=\"-285.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0917</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"515.75,-272.5 515.75,-308\"/>\n",
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"<text text-anchor=\"middle\" x=\"556.38\" y=\"-285.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0083</text>\n",
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"</g>\n",
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"<!-- 125323594230400+ -->\n",
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"<g id=\"node199\" class=\"node\">\n",
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"<title>125323594230400+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-290\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-284.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323594228528->125323594230400+ -->\n",
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"<g id=\"edge411\" class=\"edge\">\n",
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"<title>125323594228528->125323594230400+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M597.46,-290C617.08,-290 636.8,-290 653.01,-290\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.62,-293.5 662.62,-290 652.62,-286.5 652.62,-293.5\"/>\n",
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"</g>\n",
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"<!-- 125323594228528*->125323594228528 -->\n",
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"<g id=\"edge74\" class=\"edge\">\n",
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"<title>125323594228528*->125323594228528</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M348.95,-290C363.95,-290 383.84,-290 404.39,-290\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"404.34,-293.5 414.34,-290 404.34,-286.5 404.34,-293.5\"/>\n",
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"</g>\n",
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"<!-- 125323597407264 -->\n",
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"<g id=\"node193\" class=\"node\">\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"414,-217 414,-253 599.25,-253 599.25,-217 414,-217\"/>\n",
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"<text text-anchor=\"middle\" x=\"423.88\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"433.75,-217.5 433.75,-253\"/>\n",
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"<text text-anchor=\"middle\" x=\"473.62\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0458</text>\n",
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"<!-- 125323597409952+ -->\n",
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"<text text-anchor=\"middle\" x=\"691.5\" y=\"-229.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323597407264->125323597409952+ -->\n",
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"<title>125323597407264->125323597409952+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M599.6,-235C618.45,-235 637.27,-235 652.86,-235\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"652.58,-238.5 662.58,-235 652.58,-231.5 652.58,-238.5\"/>\n",
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"<title>125323597136480->125323597403568*</title>\n",
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"<!-- 125323597136480->125323597406400* -->\n",
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"<!-- 125323597136480tanh -->\n",
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"<text text-anchor=\"middle\" x=\"1688.25\" y=\"-1345.95\" font-family=\"Times,serif\" font-size=\"14.00\">tanh</text>\n",
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"</g>\n",
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"<!-- 125323597136480tanh->125323597136480 -->\n",
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"<g id=\"edge85\" class=\"edge\">\n",
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"<title>125323597136480tanh->125323597136480</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1712.5,-1359.63C1719.73,-1362.17 1727.78,-1364.84 1735.25,-1367 1741.98,-1368.95 1748.95,-1370.85 1756,-1372.68\"/>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M991.89,-1013.38C1002.8,-1013.8 1013.25,-1014.2 1022.54,-1014.56\"/>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"389.25,-853 389.25,-889 624,-889 624,-853 389.25,-853\"/>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-853.5 458.5,-889\"/>\n",
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"<text text-anchor=\"middle\" x=\"498.38\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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"<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1388.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"<title>125323609721264->125323609731152*</title>\n",
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"<title>125323597141424+->125323597141424</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1623.43,-1429.18C1632.7,-1430.03 1641.7,-1430.85 1649.89,-1431.6\"/>\n",
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"</g>\n",
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"<!-- 125323597148528+->125323597148528 -->\n",
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"<title>125323597148528+->125323597148528</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1403.71,-1020.02C1411,-1021.16 1419.41,-1022.47 1428.37,-1023.87\"/>\n",
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"</g>\n",
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"<!-- 125323597411056 -->\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-963 391.5,-999 621.75,-999 621.75,-963 391.5,-963\"/>\n",
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"<title>125323597411056->125323597409136*</title>\n",
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"</g>\n",
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"<!-- 125323594232752 -->\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-1293.5 93.25,-1329\"/>\n",
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"<text text-anchor=\"middle\" x=\"133.12\" y=\"-1306.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"</g>\n",
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"<title>125323597149344->125323597146464+</title>\n",
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"</g>\n",
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"<!-- 125323597149344*->125323597149344 -->\n",
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"<title>125323597149344*->125323597149344</title>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"399.85,-1094.5 409.85,-1091 399.85,-1087.5 399.85,-1094.5\"/>\n",
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"</g>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-1238 26.25,-1274 256.5,-1274 256.5,-1238 26.25,-1238\"/>\n",
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"</g>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1124.25,-1266 1124.25,-1302 1314,-1302 1314,-1266 1124.25,-1266\"/>\n",
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"<text text-anchor=\"middle\" x=\"1134.12\" y=\"-1279.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"</g>\n",
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"<title>125323597150160->125323597144592+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1314.39,-1284C1322.71,-1284 1330.76,-1284 1338.16,-1284\"/>\n",
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"</g>\n",
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"<!-- 125323597150160*->125323597150160 -->\n",
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"<title>125323597150160*->125323597150160</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1284C1095.84,-1284 1104.03,-1284 1112.74,-1284\"/>\n",
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"</g>\n",
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"<title>125323609734176->125323609728608+</title>\n",
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"</g>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"1128.75,-1321 1128.75,-1357 1309.5,-1357 1309.5,-1321 1128.75,-1321\"/>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6741.99,-5440C6891.33,-5440 7185.01,-5440 7289.35,-5440\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"7289.32,-5443.5 7299.32,-5440 7289.32,-5436.5 7289.32,-5443.5\"/>\n",
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"</g>\n",
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"<!-- 125323595157760**2 -->\n",
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"<g id=\"node598\" class=\"node\">\n",
|
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"<title>125323595157760**2</title>\n",
|
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"6242.25\" cy=\"-5440\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"6242.25\" y=\"-5434.95\" font-family=\"Times,serif\" font-size=\"14.00\">**2</text>\n",
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"</g>\n",
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"<!-- 125323595157760**2->125323595157760 -->\n",
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"<g id=\"edge257\" class=\"edge\">\n",
|
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"<title>125323595157760**2->125323595157760</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6269.65,-5440C6325.13,-5440 6456.36,-5440 6549.19,-5440\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6549.08,-5443.5 6559.08,-5440 6549.08,-5436.5 6549.08,-5443.5\"/>\n",
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"</g>\n",
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"<!-- 125323595158144 -->\n",
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"<g id=\"node599\" class=\"node\">\n",
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"<title>125323595158144</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"5994,-5422 5994,-5458 6174.75,-5458 6174.75,-5422 5994,-5422\"/>\n",
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"<text text-anchor=\"middle\" x=\"6003.88\" y=\"-5435.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6013.75,-5422.5 6013.75,-5458\"/>\n",
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"<text text-anchor=\"middle\" x=\"6053.62\" y=\"-5435.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0643</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6093.5,-5422.5 6093.5,-5458\"/>\n",
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"<text text-anchor=\"middle\" x=\"6134.12\" y=\"-5435.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1286</text>\n",
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"</g>\n",
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"<!-- 125323595158144->125323595157760**2 -->\n",
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"<g id=\"edge478\" class=\"edge\">\n",
|
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"<title>125323595158144->125323595157760**2</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6175.14,-5440C6185.1,-5440 6194.79,-5440 6203.55,-5440\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6203.34,-5443.5 6213.34,-5440 6203.34,-5436.5 6203.34,-5443.5\"/>\n",
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"</g>\n",
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"<!-- 125323595158144+ -->\n",
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"<g id=\"node600\" class=\"node\">\n",
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"<title>125323595158144+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"5926.5\" cy=\"-5440\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"5926.5\" y=\"-5434.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323595158144+->125323595158144 -->\n",
|
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"<g id=\"edge258\" class=\"edge\">\n",
|
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"<title>125323595158144+->125323595158144</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M5953.94,-5440C5962.23,-5440 5971.93,-5440 5982.23,-5440\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"5982.08,-5443.5 5992.08,-5440 5982.08,-5436.5 5982.08,-5443.5\"/>\n",
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"</g>\n",
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"<!-- 125323595158240 -->\n",
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"<g id=\"node601\" class=\"node\">\n",
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"<title>125323595158240</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"6561,-5266 6561,-5302 6741.75,-5302 6741.75,-5266 6561,-5266\"/>\n",
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"<text text-anchor=\"middle\" x=\"6570.88\" y=\"-5279.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6580.75,-5266.5 6580.75,-5302\"/>\n",
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"<text text-anchor=\"middle\" x=\"6620.62\" y=\"-5279.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0012</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6660.5,-5266.5 6660.5,-5302\"/>\n",
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"<text text-anchor=\"middle\" x=\"6701.12\" y=\"-5279.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125323595165344+ -->\n",
|
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"<g id=\"node617\" class=\"node\">\n",
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"<title>125323595165344+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"7021.5\" cy=\"-5351\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"7021.5\" y=\"-5345.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323595158240->125323595165344+ -->\n",
|
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"<g id=\"edge502\" class=\"edge\">\n",
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"<title>125323595158240->125323595165344+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6742.1,-5289.07C6803.83,-5294.17 6887.22,-5304.25 6958.5,-5324 6968.78,-5326.85 6979.56,-5331.07 6989.21,-5335.34\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6987.6,-5338.45 6998.15,-5339.47 6990.54,-5332.1 6987.6,-5338.45\"/>\n",
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"</g>\n",
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"<!-- 125323595158240**2 -->\n",
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"<g id=\"node602\" class=\"node\">\n",
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"<title>125323595158240**2</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"6242.25\" cy=\"-5271\" rx=\"27\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"6242.25\" y=\"-5265.95\" font-family=\"Times,serif\" font-size=\"14.00\">**2</text>\n",
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"</g>\n",
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"<!-- 125323595158240**2->125323595158240 -->\n",
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"<g id=\"edge259\" class=\"edge\">\n",
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"<title>125323595158240**2->125323595158240</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6269.65,-5271.84C6325.13,-5273.61 6456.36,-5277.8 6549.19,-5280.77\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6548.98,-5284.26 6559.08,-5281.08 6549.2,-5277.27 6548.98,-5284.26\"/>\n",
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"</g>\n",
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"<!-- 125323595158624 -->\n",
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"<g id=\"node603\" class=\"node\">\n",
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"<title>125323595158624</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"6777.75,-5333 6777.75,-5369 6958.5,-5369 6958.5,-5333 6777.75,-5333\"/>\n",
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"<text text-anchor=\"middle\" x=\"6787.62\" y=\"-5346.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6797.5,-5333.5 6797.5,-5369\"/>\n",
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"<text text-anchor=\"middle\" x=\"6837.38\" y=\"-5346.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0018</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6877.25,-5333.5 6877.25,-5369\"/>\n",
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"<text text-anchor=\"middle\" x=\"6917.88\" y=\"-5346.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125323595158624->125323595165344+ -->\n",
|
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"<g id=\"edge391\" class=\"edge\">\n",
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"<title>125323595158624->125323595165344+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6958.93,-5351C6967.27,-5351 6975.37,-5351 6982.81,-5351\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6982.75,-5354.5 6992.75,-5351 6982.75,-5347.5 6982.75,-5354.5\"/>\n",
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"</g>\n",
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"<!-- 125323595158624+ -->\n",
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"<g id=\"node604\" class=\"node\">\n",
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"<title>125323595158624+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"6651.38\" cy=\"-5351\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"6651.38\" y=\"-5345.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323595158624+->125323595158624 -->\n",
|
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"<g id=\"edge260\" class=\"edge\">\n",
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"<title>125323595158624+->125323595158624</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6678.71,-5351C6700.85,-5351 6733.98,-5351 6766.32,-5351\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6766.19,-5354.5 6776.19,-5351 6766.19,-5347.5 6766.19,-5354.5\"/>\n",
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"</g>\n",
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"<!-- 125323595159920 -->\n",
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"<g id=\"node605\" class=\"node\">\n",
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"<title>125323595159920</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"6305.25,-5297 6305.25,-5333 6525,-5333 6525,-5297 6305.25,-5297\"/>\n",
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"<text text-anchor=\"middle\" x=\"6334.62\" y=\"-5310.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6364,-5297.5 6364,-5333\"/>\n",
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"<text text-anchor=\"middle\" x=\"6403.88\" y=\"-5310.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6443.75,-5297.5 6443.75,-5333\"/>\n",
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"<text text-anchor=\"middle\" x=\"6484.38\" y=\"-5310.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125323595159920->125323595158624+ -->\n",
|
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"<g id=\"edge386\" class=\"edge\">\n",
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"<title>125323595159920->125323595158624+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6525.36,-5331.79C6556.99,-5336.65 6589.4,-5341.63 6613.29,-5345.3\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6612.71,-5348.75 6623.12,-5346.81 6613.77,-5341.83 6612.71,-5348.75\"/>\n",
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"</g>\n",
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"<!-- 125323595160160 -->\n",
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"<g id=\"node606\" class=\"node\">\n",
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"<title>125323595160160</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"7391.25,-5433 7391.25,-5469 7572,-5469 7572,-5433 7391.25,-5433\"/>\n",
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"<text text-anchor=\"middle\" x=\"7401.12\" y=\"-5446.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"7411,-5433.5 7411,-5469\"/>\n",
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"<text text-anchor=\"middle\" x=\"7450.88\" y=\"-5446.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0071</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"7490.75,-5433.5 7490.75,-5469\"/>\n",
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"<text text-anchor=\"middle\" x=\"7531.38\" y=\"-5446.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125323595164960+ -->\n",
|
|
"<g id=\"node615\" class=\"node\">\n",
|
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"<title>125323595164960+</title>\n",
|
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"7635\" cy=\"-5470\" rx=\"27\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"7635\" y=\"-5464.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
|
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"<!-- 125323595160160->125323595164960+ -->\n",
|
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"<g id=\"edge619\" class=\"edge\">\n",
|
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"<title>125323595160160->125323595164960+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M7572.43,-5462.27C7580.95,-5463.34 7589.23,-5464.38 7596.8,-5465.33\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"7596.2,-5468.78 7606.56,-5466.56 7597.08,-5461.84 7596.2,-5468.78\"/>\n",
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"</g>\n",
|
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"<!-- 125323595160160+->125323595160160 -->\n",
|
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"<g id=\"edge261\" class=\"edge\">\n",
|
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"<title>125323595160160+->125323595160160</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M7355.27,-5441.89C7362.46,-5442.41 7370.73,-5443.01 7379.51,-5443.65\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"7379.12,-5447.13 7389.35,-5444.37 7379.63,-5440.15 7379.12,-5447.13\"/>\n",
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"</g>\n",
|
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"<!-- 125323595160976 -->\n",
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"<g id=\"node608\" class=\"node\">\n",
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"<title>125323595160976</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"5626.5,-5415 5626.5,-5451 5856.75,-5451 5856.75,-5415 5626.5,-5415\"/>\n",
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"<text text-anchor=\"middle\" x=\"5661.12\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"5695.75,-5415.5 5695.75,-5451\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"5735.62\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"5775.5,-5415.5 5775.5,-5451\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"5816.12\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1286</text>\n",
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"</g>\n",
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"<!-- 125323595160976->125323595158144+ -->\n",
|
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"<g id=\"edge847\" class=\"edge\">\n",
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"<title>125323595160976->125323595158144+</title>\n",
|
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"<path fill=\"none\" stroke=\"black\" d=\"M5857.14,-5437.38C5868.05,-5437.8 5878.5,-5438.2 5887.79,-5438.56\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"5887.65,-5442.05 5897.78,-5438.94 5887.92,-5435.06 5887.65,-5442.05\"/>\n",
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"</g>\n",
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"<!-- 125323595161696 -->\n",
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"<g id=\"node609\" class=\"node\">\n",
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"<title>125323595161696</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"5619.75,-5525 5619.75,-5561 5863.5,-5561 5863.5,-5525 5619.75,-5525\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"5656.62\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: -1.0</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"5693.5,-5525.5 5693.5,-5561\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"5735.62\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">data -1.0000</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"5777.75,-5525.5 5777.75,-5561\"/>\n",
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"<text text-anchor=\"middle\" x=\"5820.62\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad -0.1066</text>\n",
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"</g>\n",
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"<!-- 125323595163904+ -->\n",
|
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"<g id=\"node613\" class=\"node\">\n",
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"<title>125323595163904+</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"5926.5\" cy=\"-5543\" rx=\"27\" ry=\"18\"/>\n",
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"<text text-anchor=\"middle\" x=\"5926.5\" y=\"-5537.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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"</g>\n",
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"<!-- 125323595161696->125323595163904+ -->\n",
|
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"<g id=\"edge754\" class=\"edge\">\n",
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"<title>125323595161696->125323595163904+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M5863.84,-5543C5872.34,-5543 5880.45,-5543 5887.84,-5543\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"5887.65,-5546.5 5897.65,-5543 5887.65,-5539.5 5887.65,-5546.5\"/>\n",
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"</g>\n",
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"<!-- 125323595162560 -->\n",
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"<g id=\"node610\" class=\"node\">\n",
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"<title>125323595162560</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"6777.75,-5482 6777.75,-5518 6958.5,-5518 6958.5,-5482 6777.75,-5482\"/>\n",
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"<text text-anchor=\"middle\" x=\"6787.62\" y=\"-5495.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6797.5,-5482.5 6797.5,-5518\"/>\n",
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"<text text-anchor=\"middle\" x=\"6837.38\" y=\"-5495.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0028</text>\n",
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"<polyline fill=\"none\" stroke=\"black\" points=\"6877.25,-5482.5 6877.25,-5518\"/>\n",
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"<text text-anchor=\"middle\" x=\"6917.88\" y=\"-5495.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
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"</g>\n",
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"<!-- 125323595162560->125323595164960+ -->\n",
|
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"<g id=\"edge542\" class=\"edge\">\n",
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"<title>125323595162560->125323595164960+</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6958.79,-5497.31C7019.5,-5495.71 7101.51,-5494 7173.88,-5494 7173.88,-5494 7173.88,-5494 7329.25,-5494 7437.34,-5494 7464.48,-5490.11 7572,-5479 7580.16,-5478.16 7588.9,-5477.03 7597.16,-5475.86\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"7597.54,-5479.34 7606.92,-5474.42 7596.52,-5472.41 7597.54,-5479.34\"/>\n",
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"</g>\n",
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"<!-- 125323595162560**2 -->\n",
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"<g id=\"node611\" class=\"node\">\n",
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"<title>125323595162560**2</title>\n",
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"<ellipse fill=\"none\" stroke=\"black\" cx=\"6242.25\" cy=\"-5522\" rx=\"27\" ry=\"18\"/>\n",
|
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"<text text-anchor=\"middle\" x=\"6242.25\" y=\"-5516.95\" font-family=\"Times,serif\" font-size=\"14.00\">**2</text>\n",
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"</g>\n",
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"<!-- 125323595162560**2->125323595162560 -->\n",
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"<g id=\"edge262\" class=\"edge\">\n",
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"<title>125323595162560**2->125323595162560</title>\n",
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"<path fill=\"none\" stroke=\"black\" d=\"M6269.66,-5521.07C6353.86,-5518.1 6619.04,-5508.75 6766.22,-5503.56\"/>\n",
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"<polygon fill=\"black\" stroke=\"black\" points=\"6766.09,-5507.07 6775.96,-5503.21 6765.85,-5500.07 6766.09,-5507.07\"/>\n",
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"</g>\n",
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"<!-- 125323595163904 -->\n",
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"<g id=\"node612\" class=\"node\">\n",
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"<title>125323595163904</title>\n",
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"<polygon fill=\"none\" stroke=\"black\" points=\"5989.5,-5511 5989.5,-5547 6179.25,-5547 6179.25,-5511 5989.5,-5511\"/>\n",
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"<text text-anchor=\"middle\" x=\"5999.38\" y=\"-5524.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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" [Value(data=0.9785820585729986)]]"
|
|
]
|
|
},
|
|
"execution_count": 64,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"ypred"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 78,
|
|
"id": "ffd9f7cb-908d-48aa-992d-8f936045c09c",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"The shape of training images: (60000, 784) and training labels: (60000,)\n",
|
|
"The shape of test images: (10000, 784) and test labels: (10000,)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"data_sources = {\n",
|
|
" \"training_images\": \"train-images-idx3-ubyte.gz\", # 60,000 training images.\n",
|
|
" \"test_images\": \"t10k-images-idx3-ubyte.gz\", # 10,000 test images.\n",
|
|
" \"training_labels\": \"train-labels-idx1-ubyte.gz\", # 60,000 training labels.\n",
|
|
" \"test_labels\": \"t10k-labels-idx1-ubyte.gz\", # 10,000 test labels.\n",
|
|
"}\n",
|
|
"\n",
|
|
"# Use responsibly! When running notebooks locally, be sure to keep local\n",
|
|
"# copies of the datasets to prevent unnecessary server requests\n",
|
|
"headers = {\n",
|
|
" \"User-Agent\": \"Mozilla/5.0 (X11; Linux x86_64; rv:10.0) Gecko/20100101 Firefox/10.0\"\n",
|
|
"}\n",
|
|
"request_opts = {\n",
|
|
" \"headers\": headers,\n",
|
|
" \"params\": {\"raw\": \"true\"},\n",
|
|
"}\n",
|
|
"\n",
|
|
"import requests\n",
|
|
"import os\n",
|
|
"\n",
|
|
"data_dir = \"../_data\"\n",
|
|
"os.makedirs(data_dir, exist_ok=True)\n",
|
|
"\n",
|
|
"base_url = \"https://github.com/rossbar/numpy-tutorial-data-mirror/blob/main/\"\n",
|
|
"\n",
|
|
"for fname in data_sources.values():\n",
|
|
" fpath = os.path.join(data_dir, fname)\n",
|
|
" if not os.path.exists(fpath):\n",
|
|
" print(\"Downloading file: \" + fname)\n",
|
|
" resp = requests.get(base_url + fname, stream=True, **request_opts)\n",
|
|
" resp.raise_for_status() # Ensure download was succesful\n",
|
|
" with open(fpath, \"wb\") as fh:\n",
|
|
" for chunk in resp.iter_content(chunk_size=128):\n",
|
|
" fh.write(chunk)\n",
|
|
"\n",
|
|
"import gzip\n",
|
|
"\n",
|
|
"mnist_dataset = {}\n",
|
|
"\n",
|
|
"# Images\n",
|
|
"for key in (\"training_images\", \"test_images\"):\n",
|
|
" with gzip.open(os.path.join(data_dir, data_sources[key]), \"rb\") as mnist_file:\n",
|
|
" mnist_dataset[key] = np.frombuffer(\n",
|
|
" mnist_file.read(), np.uint8, offset=16\n",
|
|
" ).reshape(-1, 28 * 28)\n",
|
|
"# Labels\n",
|
|
"for key in (\"training_labels\", \"test_labels\"):\n",
|
|
" with gzip.open(os.path.join(data_dir, data_sources[key]), \"rb\") as mnist_file:\n",
|
|
" mnist_dataset[key] = np.frombuffer(mnist_file.read(), np.uint8, offset=8)\n",
|
|
"\n",
|
|
"x_train, y_train, x_test, y_test = (\n",
|
|
" mnist_dataset[\"training_images\"],\n",
|
|
" mnist_dataset[\"training_labels\"],\n",
|
|
" mnist_dataset[\"test_images\"],\n",
|
|
" mnist_dataset[\"test_labels\"],\n",
|
|
")\n",
|
|
"\n",
|
|
"print(\n",
|
|
" \"The shape of training images: {} and training labels: {}\".format(\n",
|
|
" x_train.shape, y_train.shape\n",
|
|
" )\n",
|
|
")\n",
|
|
"print(\n",
|
|
" \"The shape of test images: {} and test labels: {}\".format(\n",
|
|
" x_test.shape, y_test.shape\n",
|
|
" )\n",
|
|
")\n",
|
|
"\n",
|
|
"# Take the 60,000th image (indexed at 59,999) from the training set,\n",
|
|
"# reshape from (784, ) to (28, 28) to have a valid shape for displaying purposes.\n",
|
|
"mnist_image = x_train[0, :].reshape(28, 28)\n",
|
|
"# Set the color mapping to grayscale to have a black background.\n",
|
|
"plt.imshow(mnist_image, cmap=\"gray\")\n",
|
|
"# Display the image.\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 74,
|
|
"id": "3f8f1165-2a02-4b6f-85e6-7c9bcee655ee",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 5 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"num_examples = 5\n",
|
|
"seed = 147197952744\n",
|
|
"rng = np.random.default_rng(seed)\n",
|
|
"\n",
|
|
"fig, axes = plt.subplots(1, num_examples)\n",
|
|
"for sample, ax in zip(rng.choice(x_train, size=num_examples, replace=False), axes):\n",
|
|
" ax.imshow(sample.reshape(28, 28), cmap=\"gray\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 102,
|
|
"id": "e37a04f2-52f2-4cbb-b186-92ffa23e2ed3",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0.01176471, 0.07058824, 0.07058824,\n",
|
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" 0.07058824, 0.49411765, 0.53333333, 0.68627451, 0.10196078,\n",
|
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" 0.65098039, 1. , 0.96862745, 0.49803922, 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0.11764706, 0.14117647, 0.36862745, 0.60392157,\n",
|
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" 0.66666667, 0.99215686, 0.99215686, 0.99215686, 0.99215686,\n",
|
|
" 0.99215686, 0.88235294, 0.6745098 , 0.99215686, 0.94901961,\n",
|
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" 0.76470588, 0.25098039, 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0.19215686, 0.93333333,\n",
|
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" 0.99215686, 0.99215686, 0.99215686, 0.99215686, 0.99215686,\n",
|
|
" 0.99215686, 0.99215686, 0.99215686, 0.98431373, 0.36470588,\n",
|
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" 0.32156863, 0.32156863, 0.21960784, 0.15294118, 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0.07058824, 0.85882353, 0.99215686, 0.99215686,\n",
|
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" 0.99215686, 0.99215686, 0.99215686, 0.77647059, 0.71372549,\n",
|
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" 0.96862745, 0.94509804, 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0.31372549, 0.61176471, 0.41960784, 0.99215686, 0.99215686,\n",
|
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" 0.80392157, 0.04313725, 0. , 0.16862745, 0.60392157,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0.05490196,\n",
|
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" 0.00392157, 0.60392157, 0.99215686, 0.35294118, 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0.54509804,\n",
|
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" 0.99215686, 0.74509804, 0.00784314, 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0.04313725, 0.74509804, 0.99215686,\n",
|
|
" 0.2745098 , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0.1372549 , 0.94509804, 0.88235294, 0.62745098,\n",
|
|
" 0.42352941, 0.00392157, 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0.31764706, 0.94117647, 0.99215686, 0.99215686, 0.46666667,\n",
|
|
" 0.09803922, 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0.17647059,\n",
|
|
" 0.72941176, 0.99215686, 0.99215686, 0.58823529, 0.10588235,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0.0627451 , 0.36470588,\n",
|
|
" 0.98823529, 0.99215686, 0.73333333, 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0.97647059, 0.99215686,\n",
|
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" 0.97647059, 0.25098039, 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0.18039216, 0.50980392,\n",
|
|
" 0.71764706, 0.99215686, 0.99215686, 0.81176471, 0.00784314,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0.15294118,\n",
|
|
" 0.58039216, 0.89803922, 0.99215686, 0.99215686, 0.99215686,\n",
|
|
" 0.98039216, 0.71372549, 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
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" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0.09411765, 0.44705882, 0.86666667, 0.99215686, 0.99215686,\n",
|
|
" 0.99215686, 0.99215686, 0.78823529, 0.30588235, 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0.09019608, 0.25882353, 0.83529412, 0.99215686,\n",
|
|
" 0.99215686, 0.99215686, 0.99215686, 0.77647059, 0.31764706,\n",
|
|
" 0.00784314, 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0.07058824, 0.67058824, 0.85882353,\n",
|
|
" 0.99215686, 0.99215686, 0.99215686, 0.99215686, 0.76470588,\n",
|
|
" 0.31372549, 0.03529412, 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0.21568627, 0.6745098 ,\n",
|
|
" 0.88627451, 0.99215686, 0.99215686, 0.99215686, 0.99215686,\n",
|
|
" 0.95686275, 0.52156863, 0.04313725, 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0.53333333, 0.99215686, 0.99215686, 0.99215686,\n",
|
|
" 0.83137255, 0.52941176, 0.51764706, 0.0627451 , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. , 0. ,\n",
|
|
" 0. , 0. , 0. , 0. ])"
|
|
]
|
|
},
|
|
"execution_count": 102,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"np.divide(x_train, 255.0)[0]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 83,
|
|
"id": "099de0a6-a6c4-460a-994f-b64e6287f3e9",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"np.uint8(0)"
|
|
]
|
|
},
|
|
"execution_count": 83,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"y_train[1]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 103,
|
|
"id": "d767c65f-5167-45b1-9b18-2900163035df",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"dataMap = {}\n",
|
|
"\n",
|
|
"for i in range(10):\n",
|
|
" a = [0] * 10\n",
|
|
" a[i] = 1\n",
|
|
" dataMap[i] = a\n",
|
|
"\n",
|
|
"\n",
|
|
"ys = []\n",
|
|
"for y in y_train:\n",
|
|
" ys.append(dataMap[y])\n",
|
|
"\n",
|
|
"xs = np.divide(x_train, 255.0).tolist()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "d8ff11da-2715-4866-a13f-457d8e9c5b6d",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"loss = Value(1000)\n",
|
|
"\n",
|
|
"n = MultiLayerPerceptron(784, [16, 10])\n",
|
|
"\n",
|
|
"while loss.data > 0.1:\n",
|
|
" ypred = [n(x) for x in xs]\n",
|
|
" loss = sum([(yout[0] - ygt)**2 for ygt, yout in zip(ys, ypred)])\n",
|
|
" for p in n.parameters():\n",
|
|
" p.grad = 0\n",
|
|
" loss.backward()\n",
|
|
" if loss.data < 0.1:\n",
|
|
" break\n",
|
|
" for p in n.parameters():\n",
|
|
" p.data += -0.05 * p.grad\n",
|
|
" print(loss.data)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "ceab5f8e-49b0-457a-8499-abcb4b3123ec",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.12.4"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|