mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
synced 2024-03-22 13:11:13 +08:00
214 lines
4.2 KiB
Python
214 lines
4.2 KiB
Python
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<small><i>This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges).</i></small>"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Solution Notebook"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Problem: Implement breadth-first search on a binary tree.\n",
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"\n",
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"* [Constraints](#Constraints)\n",
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"* [Test Cases](#Test-Cases)\n",
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"* [Algorithm](#Algorithm)\n",
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"* [Code](#Code)\n",
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"* [Unit Test](#Unit-Test)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Constraints\n",
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"\n",
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"* Can we assume we already have a Node class with an insert method?\n",
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" * Yes"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Test Cases\n",
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"\n",
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"### Breadth-First Search\n",
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"* 5, 2, 8, 1, 3 -> 5, 2, 8, 1, 3"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Algorithm\n",
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"\n",
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"* Initialize queue with root\n",
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"* While queue is not empty\n",
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" * Dequeue and print the node\n",
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" * Queue the left child\n",
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" * Queue the right child\n",
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"\n",
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"Complexity:\n",
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"* Time: O(n)\n",
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"* Space: O(n)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Code"
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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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"metadata": {
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"collapsed": true
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},
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"outputs": [],
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"source": [
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"%run ../bst/bst.py"
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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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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"from collections import deque\n",
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"\n",
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"\n",
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"def bfs(root, visit_func):\n",
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" queue = deque()\n",
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" queue.append(root)\n",
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" while queue:\n",
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" node = queue.popleft()\n",
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" visit_func(node)\n",
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" if node.left is not None:\n",
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" queue.append(node.left)\n",
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" if node.right is not None:\n",
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" queue.append(node.right)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Unit Test"
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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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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"%run ../utils/results.py"
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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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"metadata": {
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"collapsed": false
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},
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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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"Overwriting test_bfs.py\n"
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]
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}
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],
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"source": [
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"%%writefile test_bfs.py\n",
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"from nose.tools import assert_equal\n",
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"\n",
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"\n",
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"class TestBfs(object):\n",
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"\n",
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" def __init__(self):\n",
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" self.results = Results()\n",
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"\n",
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" def test_bfs(self):\n",
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" node = Node(5)\n",
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" insert(node, 2)\n",
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" insert(node, 8)\n",
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" insert(node, 1)\n",
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" insert(node, 3)\n",
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" bfs(node, self.results.add_result)\n",
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" assert_equal(str(self.results), '[5, 2, 8, 1, 3]')\n",
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"\n",
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" print('Success: test_bfs')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestBfs()\n",
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" test.test_bfs()\n",
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"\n",
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"\n",
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"if __name__ == '__main__':\n",
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" main()"
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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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"metadata": {
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"collapsed": false
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},
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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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"Success: test_bfs\n"
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]
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}
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],
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"source": [
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"%run -i test_bfs.py"
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]
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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 2",
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"language": "python",
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"name": "python2"
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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": 2
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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": "ipython2",
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"version": "2.7.10"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}
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