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update markov_chain_II
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‎lectures/_static/lecture_specific/markov_chains_II/Irre_1

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digraph {
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rankdir=LR
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poor
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"middle class"
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rich
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poor -> poor [label=0.9]
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poor -> "middle class" [label=0.1]
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"middle class" -> poor [label=0.4]
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"middle class" -> "middle class" [label=0.4]
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"middle class" -> rich [label=0.2]
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rich -> poor [label=0.1]
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rich -> "middle class" [label=0.1]
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rich -> rich [label=0.8]
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}

‎lectures/_static/lecture_specific/markov_chains_II/Irre_1.png

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‎lectures/_static/lecture_specific/markov_chains_II/Irre_2

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digraph {
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rankdir=LR
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poor
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"middle class"
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rich
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poor -> poor [label=1.0]
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"middle class" -> poor [label=0.1]
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"middle class" -> "middle class" [label=0.8]
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"middle class" -> rich [label=0.1]
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rich -> "middle class" [label=0.2]
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rich -> rich [label=0.8]
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}

‎lectures/_static/lecture_specific/markov_chains_II/Irre_2.png

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‎lectures/_static/lecture_specific/markov_chains_II/example4

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digraph {
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rankdir=LR
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0
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1
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0 -> 1 [label=1.0 color=red]
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1 -> 0 [label=1.0 color=red]
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}

‎lectures/_static/lecture_specific/markov_chains_II/example4.png

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‎lectures/_static/lecture_specific/markov_chains_II/figures.ipynb

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{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "b5a640be-e2e4-4841-bcda-95f6660fd9fe",
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"metadata": {},
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"source": [
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"# Figures for Markov Chain II"
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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": 1,
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"id": "f8a64d7b-2ffd-4974-a1dd-ec14d8e44102",
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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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"Requirement already satisfied: graphviz in /Users/mmcky/anaconda3/envs/quantecon/lib/python3.11/site-packages (0.20.3)\n"
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]
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}
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],
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"source": [
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"!pip install graphviz"
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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": "43d55bea-fd00-4583-8d89-830151b6c36c",
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"metadata": {},
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"outputs": [],
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"source": [
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"from graphviz import Digraph"
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]
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},
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{
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"cell_type": "markdown",
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"id": "4185ae75-3a1c-4f89-ad74-1950d344ba56",
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"metadata": {},
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"source": [
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"## Irreducibility"
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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": "53a8bb26-a6e8-421c-abcc-535031d5a69b",
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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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"'Irre_1.png'"
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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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"dot = Digraph(format='png')\n",
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"dot.attr(rankdir='LR')\n",
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"dot.node(\"poor\")\n",
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"dot.node(\"middle class\")\n",
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"dot.node(\"rich\")\n",
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"\n",
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"dot.edge(\"poor\", \"poor\", label=\"0.9\")\n",
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"dot.edge(\"poor\", \"middle class\", label=\"0.1\")\n",
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"dot.edge(\"middle class\", \"poor\", label=\"0.4\")\n",
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"dot.edge(\"middle class\", \"middle class\", label=\"0.4\")\n",
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"dot.edge(\"middle class\", \"rich\", label=\"0.2\")\n",
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"dot.edge(\"rich\", \"poor\", label=\"0.1\")\n",
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"dot.edge(\"rich\", \"middle class\", label=\"0.1\")\n",
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"dot.edge(\"rich\", \"rich\", label=\"0.8\")\n",
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"\n",
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"dot\n",
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"dot.render(filename='Irre_1')"
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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": "4e96fd64-a1ab-4a6e-a5d6-a64767f6181e",
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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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"'Irre_2.png'"
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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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"source": [
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"dot = Digraph(format='png')\n",
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"dot.attr(rankdir='LR')\n",
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"dot.node(\"poor\")\n",
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"dot.node(\"middle class\")\n",
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"dot.node(\"rich\")\n",
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"\n",
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"dot.edge(\"poor\", \"poor\", label=\"1.0\")\n",
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"dot.edge(\"middle class\", \"poor\", label=\"0.1\")\n",
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"dot.edge(\"middle class\", \"middle class\", label=\"0.8\")\n",
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"dot.edge(\"middle class\", \"rich\", label=\"0.1\")\n",
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"dot.edge(\"rich\", \"middle class\", label=\"0.2\")\n",
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"dot.edge(\"rich\", \"rich\", label=\"0.8\")\n",
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"\n",
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"dot\n",
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"dot.render(filename='Irre_2')"
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]
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},
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{
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"cell_type": "markdown",
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"id": "1d7441a9-7753-4922-8276-3d26a26798cf",
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"metadata": {},
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"source": [
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"## Example 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": 5,
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"id": "850376db-6922-4440-af89-c50b0e6b5050",
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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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"'example4.png'"
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]
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},
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"execution_count": 5,
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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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"dot = Digraph(format='png')\n",
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"dot.attr(rankdir='LR')\n",
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"dot.node(\"0\")\n",
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"dot.node(\"1\")\n",
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"\n",
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"dot.edge(\"0\", \"1\", label=\"1.0\", color='red')\n",
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"dot.edge(\"1\", \"0\", label=\"1.0\", color='red')\n",
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"\n",
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"dot\n",
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"dot.render(filename='example4')"
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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": null,
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"id": "5f9c4db0-812a-4131-803f-024ae5b61772",
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"metadata": {},
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"outputs": [],
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"source": []
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3 (ipykernel)",
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"language": "python",
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"name": "python3"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 3
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.11.7"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 5
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}

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