From 040e1da0242bef445d1daac7e6301d032847e43f Mon Sep 17 00:00:00 2001
From: Robert Lanzafame <R.C.Lanzafame@tudelft.nl>
Date: Thu, 10 Oct 2024 16:12:03 +0200
Subject: [PATCH] GA 1.6 ready for review
---
.../GA_1_6/GA_1_6_an_ode_to_pde.ipynb | 647 +-
content/GA_1_6/GA_1_6_solution.ipynb | 394 +-
content/GA_1_6/figures/thermal_gradient.png | Bin 0 -> 3069 bytes
src/teachers/GA_1_6/GA_1_6_an_ode_to_pde.html | 8457 +++++++++++++++++
.../GA_1_6/GA_1_6_files_for_review.zip | Bin 0 -> 520093 bytes
src/teachers/GA_1_6/GA_1_6_solution.html | 742 +-
6 files changed, 9428 insertions(+), 812 deletions(-)
rename src/teachers/GA_1_6/GA_1_6_solution.ipynb => content/GA_1_6/GA_1_6_an_ode_to_pde.ipynb (92%)
create mode 100644 content/GA_1_6/figures/thermal_gradient.png
create mode 100644 src/teachers/GA_1_6/GA_1_6_an_ode_to_pde.html
create mode 100644 src/teachers/GA_1_6/GA_1_6_files_for_review.zip
diff --git a/src/teachers/GA_1_6/GA_1_6_solution.ipynb b/content/GA_1_6/GA_1_6_an_ode_to_pde.ipynb
similarity index 92%
rename from src/teachers/GA_1_6/GA_1_6_solution.ipynb
rename to content/GA_1_6/GA_1_6_an_ode_to_pde.ipynb
index e7824cd3..f4d298a3 100644
--- a/src/teachers/GA_1_6/GA_1_6_solution.ipynb
+++ b/content/GA_1_6/GA_1_6_an_ode_to_pde.ipynb
@@ -7,7 +7,7 @@
"id": "9adbf457-797f-45b7-8f8b-0e46e0e2f5ff"
},
"source": [
- "# Workshop 6: An ODE to Probably Doing Enough (PDE)\n",
+ "# GA 1.6: An ODE to Probably Doing Enough (PDE)\n",
"\n",
"<h1 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0\">\n",
" <style>\n",
@@ -30,11 +30,28 @@
"source": [
"# Overview\n",
"\n",
- "This assignment contains two parts: treating non-linear ODEs and treating the diffusion equation (PDE).\n",
- "\n",
- "## Section 1: Solving Non-linear ODEs\n",
+ "This assignment contains two parts: treating non-linear ODEs and treating the diffusion equation (PDE).\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "453992c1",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0933143e",
+ "metadata": {},
+ "source": [
+ "## Part 1: Solving Non-linear ODEs\n",
"\n",
- "In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution. \n"
+ "In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution. "
]
},
{
@@ -42,7 +59,7 @@
"id": "735043d3",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1</b>\n",
"\n",
@@ -60,7 +77,7 @@
"id": "17ca3c02",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.1</b>\n",
"\n",
@@ -84,24 +101,10 @@
},
{
"cell_type": "markdown",
- "id": "c221dccd",
+ "id": "769c78ae",
"metadata": {},
"source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "$$\n",
- "g(x) = x^2-9 \\text{ and } g'(x) = 2*x\n",
- "$$\n",
- "\n",
- "so\n",
- "$$\n",
- "x = x - \\frac{x^2-9}{2x}\n",
- "$$\n",
- "</p>\n",
- "</div>"
+ "Write your answer here."
]
},
{
@@ -109,7 +112,7 @@
"id": "4f3fc628",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.2</b>\n",
"\n",
@@ -120,35 +123,23 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": null,
"id": "25bcec4e",
"metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "The solution found is 3.000000000008298 it took 11 iterations to converge.\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"import numpy as np\n",
"\n",
"def g(x):\n",
- " return x**2 - 9\n",
+ " return YOUR_CODE_HERE\n",
"\n",
"def g_der(x):\n",
- " return 2*x\n",
+ " return YOUR_CODE_HERE\n",
"\n",
"x = .01\n",
"for j in range(100):\n",
- " x = x - g(x)/g_der(x)\n",
- " if np.abs(g(x)) < 1e-6:\n",
- " break\n",
- "\n",
- " \n",
- "print(\"The solution found is \", x, \" it took \" ,j , \" iterations to converge.\")"
+ " x = YOUR_CODE_HERE\n",
+ " # Next task will go here"
]
},
{
@@ -156,7 +147,7 @@
"id": "c210989a",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.3</b>\n",
"\n",
@@ -166,22 +157,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "72af70ed",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "4 iterations \n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "728a8de9",
@@ -195,7 +170,7 @@
"id": "e4723ca1",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.4</b>\n",
"\n",
@@ -205,22 +180,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "b9a34e8a",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "It takes 11 iterations, 7 more than in the previous case despite the guess being closer to the solution. This is because at that location the derivative is close to 0 and if first goes far away from the solution.\n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "99d7f4c8",
@@ -234,7 +193,7 @@
"id": "fcb52681",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2</b>\n",
"\n",
@@ -253,39 +212,23 @@
},
{
"cell_type": "markdown",
- "id": "8b10ee75",
+ "id": "6ef1b02a",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Task 2.1</b>\n",
- "\n",
- "Write in paper the Explicit and Implicit Euler schemes of the equation above.\n",
- "\n",
- "\n",
- "</p>\n",
- "</div>"
+ "Write your answer here."
]
},
{
"cell_type": "markdown",
- "id": "7e68e263",
+ "id": "8b10ee75",
"metadata": {},
"source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Solution</b>\n",
+ "<b>Task 2.1</b>\n",
"\n",
- "The Explicit Euler Scheme:\n",
- "$$\n",
- "y_{i+1} = y_{i} + \\Delta t (\\sin(y_i^3)+\\sin(t_i))\n",
- "$$\n",
+ "Write in paper the Explicit and Implicit Euler schemes of the equation above.\n",
"\n",
- "The Implicit Euler scheme:\n",
- "$$\n",
- "y_{i+1} = y_{i} + \\Delta t (\\sin(y_{i+1}^3)+\\sin(t_{i+1}))\n",
- "$$\n",
"\n",
"</p>\n",
"</div>"
@@ -304,7 +247,7 @@
"id": "3a0f172f",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2.2</b>\n",
"\n",
@@ -320,30 +263,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "7ade5e39",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "$$\n",
- "g(y_{i+1}) = y_{i+1}-y_{i} - \\Delta t (\\sin(y_{i+1}^3)+\\sin(t_{i+1}))\n",
- "$$\n",
- "\n",
- "and\n",
- "\n",
- "$$\n",
- "g'(y_{i+1}) = 1 - \\Delta t * 3y_{i+1}^2\\cos(y_{i+1}^3)\n",
- "$$\n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "e40042c0",
@@ -357,7 +276,7 @@
"id": "726c43cb",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2.3</b>\n",
"\n",
@@ -374,30 +293,16 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": null,
"id": "57c0662a",
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- "<Figure size 640x480 with 1 Axes>"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
- "import matplotlib.pyplot as plt\n",
- "\n",
- "\n",
"def g(y_iplus1,y_i, t_iplus1):\n",
- " return y_iplus1-y_i-dt*(np.sin(y_iplus1**3)+np.sin(t_iplus1))\n",
+ " return YOUR_CODE_HERE\n",
"\n",
"def g_der(y_iplus1):\n",
- " return 1-3*dt*y**2*np.cos(y_iplus1**3)\n",
+ " return YOUR_CODE_HERE\n",
"\n",
"\n",
"# Define parameters:\n",
@@ -409,20 +314,20 @@
"y_IE = np.zeros(t.shape)\n",
"\n",
"# Define Initial Conditions\n",
- "y_EE[0] = 1\n",
- "y_IE[0] = 1\n",
+ "y_EE[0] = YOUR_CODE_HERE\n",
+ "y_IE[0] = YOUR_CODE_HERE\n",
"\n",
"# Perform time-integration\n",
"newtonFailed = 0\n",
"for i in range(0, len(t)-1): \n",
" \n",
" # Forward Euler:\n",
- " y_EE[i+1] = y_EE[i] + dt*(np.sin(y_EE[i]**3)+np.sin(t[i]))\n",
+ " y_EE[i+1] = YOUR_CODE_HERE\n",
"\n",
" # Backward Euler:\n",
- " y_IE[i+1] = y_IE[i] # initial guess\n",
+ " y_IE[i+1] = YOUR_CODE_HERE # Initial guess\n",
" for j in range(200):\n",
- " y_IE[i+1] = y_IE[i+1] - g(y_IE[i+1],y_IE[i],t[i+1])/g_der(y_IE[i+1])\n",
+ " y_IE[i+1] = YOUR_CODE_HERE\n",
" if np.abs(g(y_IE[i+1],y_IE[i],t[i+1])) < 1e-6:\n",
" break\n",
" \n",
@@ -449,7 +354,7 @@
"id": "6b6d9964",
"metadata": {},
"source": [
- "## Section 2: Diffusion Equation in 1D\n",
+ "## Part 2: Diffusion Equation in 1D\n",
"\n",
"The 1-D diffusion equation reads $$\\frac{\\partial u}{\\partial t}=v\\frac{\\partial^2 u}{\\partial x^2}$$\n",
" \n",
@@ -457,20 +362,9 @@
"\n",
"Unlike the problem of Wednesday, here there is no exchange of heat with the ambient and the temperature evolves in time. The temperature initially is uniform along the rod, equal to $7°C$. Then it is heated at both ends. . \n",
"\n",
- "\n",
+ "\n",
"\n",
- "The problem is schematized as a one-dimensional $30cm$ steel rod of with a diffusivity coefficient of $4 mm^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ steps. "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "id": "ef5ab0dd",
- "metadata": {},
- "outputs": [],
- "source": [
- "import numpy as np\n",
- "import matplotlib.pyplot as plt"
+ "The problem is schematized as a one-dimensional $0.3 m$ steel rod of with a diffusivity coefficient of $4e-6 m^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ time steps and use 15 points to represent the rod."
]
},
{
@@ -478,7 +372,7 @@
"id": "c300a7fd",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3</b>\n",
"\n",
@@ -501,7 +395,7 @@
"id": "84b32366",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.1:</b>\n",
"\n",
@@ -510,22 +404,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "813f4a66",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "One initial condition and two boundary conditions are needed.\n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "1b363563",
@@ -539,7 +417,7 @@
"id": "4ae351ba",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.2:</b>\n",
"\n",
@@ -550,22 +428,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "a7205bce",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "Drawing of the grid.\n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "1d59533c",
@@ -579,7 +441,7 @@
"id": "71a1284a",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.3:</b>\n",
"\n",
@@ -590,24 +452,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "be750743",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "$$ \n",
- "\\frac{\\partial T}{\\partial t}\\bigg|_i = \\nu \\frac{T_{i+1}-2T_i+T_{i-1}}{\\Delta x^2}\n",
- "$$\n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "d0d45222",
@@ -621,7 +465,7 @@
"id": "6ab571e7",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.4:</b>\n",
"\n",
@@ -632,24 +476,6 @@
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "b2e63667",
- "metadata": {},
- "source": [
- "\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
- "<p>\n",
- "<b>Solution</b>\n",
- "\n",
- "$$ \n",
- "T^{j+1}_{i} = T^j_i + \\frac{\\nu \\Delta t}{\\Delta x^2} \\left(T^j_{i+1}-2T^j_i+T^j_{i-1}\\right)\n",
- "$$\n",
- "\n",
- "</p>\n",
- "</div>"
- ]
- },
{
"cell_type": "markdown",
"id": "c46ee55f",
@@ -664,44 +490,26 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#facb8E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>NOTE</b>\n",
"\n",
- "If you have doubts of your solution, ask a staff member! It is important to be in the right track!!\n",
+ "If you have doubts of your solution, <b>stop</b> and ask a staff member! It is important to be in the right track!!\n",
"\n",
"</p>\n",
"</div>"
]
},
- {
- "cell_type": "markdown",
- "id": "852123ea",
- "metadata": {},
- "source": [
- "<div style=\"background-color:#ffa6a6; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%\"><p><b>NOTE TO TEACHERS</b>\n",
- "EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS FOLLOWS:\n",
- "\n",
- "- implement the solution using forward difference in time and central in space\n",
- "- this is an implicit scheme\n",
- "- first with constand dirichlet, then with varying (in time) dirichlet condition on one end of the bar\n",
- "- implement the solution using backward in time and central in space\n",
- "- in both cases we will try to have the students formulate the matrix analytically before implementing it in code so that it is very similar to what we did on wednesday\n",
- "- note that the time dependency of the boundary requires that there be a loop in the solution \n",
- "\n",
- "</p></div>"
- ]
- },
{
"cell_type": "markdown",
"id": "2ad1f7c0-14d4-4363-8ed9-681e1e271741",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.5:</b> \n",
"\n",
- "Finally, the coding part! Let's start with defining the parameters and creating the grid. **Fill in the missing parts of the code.**\n",
+ "Finally, some coding! Let's start with defining the parameters and creating the grid. **Fill in the missing parts of the code.**\n",
"\n",
"</p>\n",
"</div>"
@@ -709,32 +517,19 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 4,
"id": "efd223ed-a7db-4680-8c81-649ea88b5275",
"metadata": {},
"outputs": [],
"source": [
- "# T_left = \n",
- "# T_right = \n",
- "# T_initial = \n",
- "# length = \n",
- "# n_point = \n",
- "# nu = \n",
- "# dt = \n",
- "# nt = \n",
- "\n",
- "# Solution\n",
- "T_left = 38 # Temperature at the left\n",
- "T_right = 25 # Temperature at the right\n",
- "T_initial = 7 # Initial temperature of the bar\n",
- "length = 300 # Length of the bar in mm\n",
- "n_point = 15 # Number of points\n",
- "nu = 4 # Constant value nu mm^2/s (representative value for steel)\n",
- "dt = 50 # Time increment in seconds\n",
- "nt = 200 # Number of time increments\n",
- "\n",
- "dx = length/(n_point-1)\n",
- "x = np.linspace(0,length,n_point)"
+ "T_left = YOUR_CODE_HERE\n",
+ "T_right = YOUR_CODE_HERE\n",
+ "T_initial = YOUR_CODE_HERE\n",
+ "length = YOUR_CODE_HERE\n",
+ "n_point = YOUR_CODE_HERE\n",
+ "nu = YOUR_CODE_HERE\n",
+ "dt = YOUR_CODE_HERE\n",
+ "nt = YOUR_CODE_HERE"
]
},
{
@@ -750,12 +545,14 @@
"id": "0e235c76",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.6:</b> \n",
"\n",
"Define the initial conditions and the boundary conditions. **Fill in the missing parts of the code.**\n",
"\n",
+ "We define a 2-dimensional Numpy array <code>T</code> where the first index, <code>j</code>, represents time and the second index, <code>i</code>, represents space, for example: <code>T[j, i]</code>. Initialize <code>T</code> with a matrix of zeros.\n",
+ "\n",
"</p>\n",
"</div>"
]
@@ -767,294 +564,270 @@
"metadata": {},
"outputs": [],
"source": [
- "# Initialise empty solution array \"us\"\n",
- "us = np.zeros((nt+1,n_point))\n",
- "\n",
- "# Initialise initial conditions into the solution array t=0\n",
- "# us[0] = \n",
- "# Solution:\n",
- "us[0] = T_initial\n",
- "\n",
- "# Initialise boundary conditions into the solution array at t=0\n",
- "# Remember that the first term is the left boundary and the last term is the right boundary.\n",
- "# us[0][0] = \n",
- "# us[0][-1] = \n",
- "# Solution:\n",
- "us[0][0] = T_left\n",
- "us[0][-1] = T_right"
+ "T = YOUR_CODE_HERE\n",
+ "T[0, :] = YOUR_CODE_HERE\n",
+ "T[:, 0] = YOUR_CODE_HERE\n",
+ "T[:, -1] = YOUR_CODE_HERE\n",
+ "b = YOUR_CODE_HERE"
]
},
{
"cell_type": "markdown",
- "id": "726ef6e5-db85-4d29-936a-681782073a4e",
+ "id": "e7c5bf2e",
"metadata": {},
"source": [
- "The finite difference operation will involve using an array that contains $u$ at every point in the array `x` (code), `dt`, `dx` and `nu` to return an array that contains $u$ at every point in the array `x` at the **next time step**. \n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<p>\n",
+ "<b>Task 3.7:</b> \n",
"\n",
- "But what about the boundary points? These will remain the same as the boundaries are held at a constant temperature. Hence, for each array pertaining to $u$, the first and the last values should correspond to the boundary temperatures, before the array is used an a input for the finite difference operation. The rest of the terms can be consded as per the equation in Step 3. In short, while advancing in time, from `0` to `nt*dt`, the first and lasts elements of the array $u$ will not be advanced in time but in fact, be assigned the boundary values of temperature. \n",
+ "Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b. As in the workshop and textbook, the <code>A</code> matrix consists only of the unknowns in the problem.\n",
"\n",
- "So if the $u$ array corresponding to the first time-step has the correct boundary values, the finite difference operation need only copy these values to their locations in every successive array in time. This can be done as an if and else statement."
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "7e0147f1",
+ "metadata": {},
+ "source": [
+ "Your answer here."
]
},
{
"cell_type": "code",
"execution_count": 6,
- "id": "ffd2090f-c5b0-43ee-8516-ae98eb6cff1d",
+ "id": "787c37f6",
"metadata": {},
"outputs": [],
"source": [
- "def fdm_step(u, dx, dt, nu):\n",
- "\n",
- " u_new = np.zeros(len(u))\n",
- "\n",
- " for i in range(len(u)):\n",
- "\n",
- " if i == 0 or i == len(u)-1: # Exclue fixed boundary point at ends\n",
- "\n",
- " u_new[i] = u[i]\n",
- " else:\n",
- " u_new[i] = u[i] + nu*dt*(u[i+1] - 2*u[i] + u[i-1])/(dx**2)\n",
- " \n",
- " return u_new"
+ "for j in range(m-1):\n",
+ " A = YOUR_CODE_HERE\n",
+ " b = YOUR_CODE_HERE\n",
+ " T[j+1,1:-1] = YOUR_CODE_HERE"
]
},
{
"cell_type": "markdown",
- "id": "a0033860-a8fb-41d0-9c39-4d9b1676fdcc",
+ "id": "794f6329",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Task 1.4:</b> \n",
+ "<b>Task 3.8:</b> \n",
+ "\n",
+ "Use this code cell if you would like to verify your numerical implementation. For example, visualize the temperature profile at different time steps.\n",
"\n",
- "You now have the finite difference operation and initial arrays. Now write a single line of code to loop over all time steps to obtain the solution at `dt*nt`.\n",
"</p>\n",
"</div>"
]
},
{
"cell_type": "code",
- "execution_count": 16,
- "id": "193daff2",
+ "execution_count": 7,
+ "id": "56f6fdea",
"metadata": {},
"outputs": [],
"source": [
- "for i in range(nt):\n",
- " us[i+1] = fdm_step(us[i],dx, dt, nu)\n"
+ "# plt.plot(x, T[YOUR_CODE_HERE,:])\n",
+ "# plt.plot(x, T[YOUR_CODE_HERE,:])\n",
+ "# plt.plot(x, T[YOUR_CODE_HERE,:])\n",
+ "# plt.xlabel('x')\n",
+ "# plt.ylabel('T')\n",
+ "# plt.show()"
]
},
{
"cell_type": "markdown",
- "id": "794f6329",
+ "id": "17e7be50-79a7-4699-b0d8-908a58ce36d7",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Task XXX:</b> \n",
+ "<b>Task 3.9:</b> \n",
"\n",
- "Visualization of the temporal evolution.\n",
+ "Describe the time evolution of the temperature along the rod. Does the temperature reach a steady-state? What does that mean for heat flow?\n",
"\n",
+ "Write your answer in the following markdown cell. \n",
"</p>\n",
"</div>"
]
},
{
- "cell_type": "code",
- "execution_count": 7,
- "id": "fbdbd830-46f7-48eb-926e-ab6cd093f90a",
+ "cell_type": "markdown",
+ "id": "8db518cd",
"metadata": {},
- "outputs": [
- {
- "ename": "NameError",
- "evalue": "name 'widgets' is not defined",
- "output_type": "error",
- "traceback": [
- "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
- "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)",
- "Cell \u001b[1;32mIn[7], line 13\u001b[0m\n\u001b[0;32m 10\u001b[0m plt\u001b[38;5;241m.\u001b[39mylabel(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mu\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[0;32m 11\u001b[0m plt\u001b[38;5;241m.\u001b[39mshow()\n\u001b[1;32m---> 13\u001b[0m play \u001b[38;5;241m=\u001b[39m widgets\u001b[38;5;241m.\u001b[39mPlay(\u001b[38;5;28mmin\u001b[39m\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m, \u001b[38;5;28mmax\u001b[39m\u001b[38;5;241m=\u001b[39mnt\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, step\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m, value\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m, interval\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m100\u001b[39m, disabled\u001b[38;5;241m=\u001b[39m\u001b[38;5;28;01mFalse\u001b[39;00m)\n\u001b[0;32m 14\u001b[0m slider \u001b[38;5;241m=\u001b[39m widgets\u001b[38;5;241m.\u001b[39mIntSlider(\u001b[38;5;28mmin\u001b[39m\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m, \u001b[38;5;28mmax\u001b[39m\u001b[38;5;241m=\u001b[39mnt\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m, step\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m, value\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m)\n\u001b[0;32m 15\u001b[0m widgets\u001b[38;5;241m.\u001b[39mjslink((play, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mvalue\u001b[39m\u001b[38;5;124m'\u001b[39m), (slider, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mvalue\u001b[39m\u001b[38;5;124m'\u001b[39m))\n",
- "\u001b[1;31mNameError\u001b[0m: name 'widgets' is not defined"
- ]
- }
- ],
"source": [
- "def FDM_plot(x, u, step):\n",
- " fig = plt.figure()\n",
- " ax = plt.axes(xlim=(0, 300), ylim=(0, 40))\n",
- " ax.plot(x, u[step])\n",
- " plt.xlabel('x')\n",
- " plt.ylabel('u')\n",
- " plt.show()\n",
- "\n",
- "play = widgets.Play(min=0, max=nt-1, step=1, value=0, interval=100, disabled=False)\n",
- "slider = widgets.IntSlider(min=0, max=nt-1, step=1, value=0)\n",
- "widgets.jslink((play, 'value'), (slider, 'value'))\n",
- "\n",
- "interact(FDM_plot,\n",
- " x=fixed(x),\n",
- " u=fixed(us),\n",
- " step = (play))\n",
- "\n",
- "widgets.HBox([slider]) "
+ "Your answer here."
]
},
{
"cell_type": "markdown",
- "id": "dd052188-5e1d-4335-9462-5af07e4ea03b",
- "metadata": {
- "id": "0491cc69"
- },
+ "id": "9fcbb39f",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<p>\n",
+ "<b>Task 4</b>\n",
+ "\n",
+ "Alter the right boundary condition, with the following equation: \n",
+ "\n",
+ "\n",
+ "$$\n",
+ "u^t_{x=L} = 25 + 10 \\sin \\left(\\frac{2\\pi t}{period}\\right)\n",
+ "$$\n",
+ "\n",
+ "where L refers to the last point of the rod. Put your whole code together in a single cell. Copy the code cells from task 3.5 until task 3.8. Modify the right boundary condition as stated above, the period is 6000 seconds.\n",
+ "\n",
+ "\n",
+ "</p>\n",
+ "</div>"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "05534522",
+ "metadata": {},
+ "outputs": [],
"source": [
- "<div style=\"background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\"> <p><b>Note:</b> Depending on your choice of time step, you may have noticed that your notebook did not converge. This would have looked like a log of oscillations (jagged up-and-down lines) that appear during the animation, which then increase out of control. This happens because the numerical approach used here is conditionally stable; large time steps do not work well. This has to do with the high value of the diffusivity parameter.</p></div>"
+ "YOUR_CODE_HERE"
]
},
{
"cell_type": "markdown",
- "id": "17e7be50-79a7-4699-b0d8-908a58ce36d7",
+ "id": "852b05c5",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Task 1.5:</b> \n",
+ "<b>Task 5</b>\n",
+ "\n",
+ "Solve the diffusion equation using Central Differences in space but **now with Backward Differences in time**. You will do this step by step (subtasks). Just as before. \n",
"\n",
- "Explain what the animation above shows? Does the temperature reach a steady-state? What does that mean for heat flow?\n",
"\n",
- "Record your answer in the following markdown cell. \n",
"</p>\n",
"</div>"
]
},
{
"cell_type": "markdown",
- "id": "fb6cc514-2b49-43df-bd26-35ade685e4db",
+ "id": "81fe7677",
"metadata": {},
"source": [
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Solution</b> \n",
+ "<b>Task 5.1:</b>\n",
+ "\n",
+ "Draw the stencils (two in total) of this equation when solving it with Central Differences in space and **Forward Differences in time** and when solving it with Central Differences in space and **Backward Differences in time**. \n",
"\n",
- "Animated plot above shows how the ends of the rod at temperatures of $38^oC$ and $25^oC$ but $7^oC$ elsewhere. As the animation begins, you can notice how the temperature increases through the rod and eventually becomes a constant gradient across the length of the rod, indicating a steady-state.\n",
- " \n",
"</p>\n",
"</div>"
]
},
{
"cell_type": "markdown",
- "id": "e376cd92-6d55-4d8f-8504-5d0972ed41ca",
+ "id": "6df8a151",
"metadata": {},
"source": [
- "## Task 2: Altering the right boundary\n",
- "\n",
- "Say the right-end of the bar is heated with the cyclic function:\n",
- "$$ u(L,t)=25+10\\sin\\left(\\frac{2\\pi t}{T}\\right)$$\n",
- "\n",
- "where $T$ is the time period of the cyclic heating. Here are the additional values for this problem."
+ "Your answer here."
]
},
{
"cell_type": "markdown",
- "id": "032cef25-50fd-4b82-8ec7-8f5a2e8eaac1",
+ "id": "ca16ee10",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Task 2.1:</b> \n",
+ "<b>Task 5.2:</b>\n",
+ "\n",
+ "Now, the differential equation needs to be expressed in algebraic form using central differences in space and forward differences in time. **Start by just transforming the PDE into a first-order ODE by ONLY applying Central Differences to the spatial derivative term.**\n",
+ "\n",
"\n",
- "Based on the initialization of the problem as described in Task 1.4, can you set up the initial and boundary conditions for this situation? (you only need to change one condition).\n",
"</p>\n",
"</div>"
]
},
{
- "cell_type": "code",
- "execution_count": 29,
- "id": "7a2db483-7d49-45ad-beeb-b5ad78024cfe",
+ "cell_type": "markdown",
+ "id": "4a25a0d0",
"metadata": {},
- "outputs": [],
"source": [
- "t = 0\n",
- "T = 6000\n",
- "\n",
- "nt = 600\n",
- "us = np.zeros((nt+1,n_point))\n",
- "\n",
- "# us[0] = \n",
- "# Solution:\n",
- "us[0] = T_initial\n",
- "\n",
- "# us[0][-1] = \n",
- "# Solution:\n",
- "us[0][0] = T_left\n",
- "us[0][-1] = 25 + 10*np.sin(2*np.pi*t/T)"
+ "Your answer here."
]
},
{
"cell_type": "markdown",
- "id": "8711923d-0c98-453c-a1a0-8b687f53e9df",
+ "id": "139d33af",
"metadata": {},
"source": [
- "To pass on the value of the time-dependent boundary condition `T_Right` to the iteration loop, you must copy the value of `us` (the solution) to another array, modify the boundary condition on the right (which element of the array will that be?) and pass the modified array to the solution function `fdm_step`. \n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<p>\n",
+ "<b>Task 5.3:</b>\n",
"\n",
- "You can use the following code for dynamic plotting:"
+ "**Apply Backward Differences to the equation to obtain an algebraic expression.**\n",
+ "\n",
+ "</p>\n",
+ "</div>"
]
},
{
- "cell_type": "code",
- "execution_count": null,
- "id": "91182c14-d4d7-4098-9abb-1cee859c8dfe",
+ "cell_type": "markdown",
+ "id": "73b82177",
"metadata": {},
- "outputs": [],
"source": [
- "play = widgets.Play(min=0, max=nt-1, step=1, value=0, interval=100, disabled=False)\n",
- "slider = widgets.IntSlider(min=0, max=nt-1, step=1, value=0)\n",
- "widgets.jslink((play, 'value'), (slider, 'value'))\n",
- "\n",
- "interact(FDM_plot,\n",
- " x=fixed(x),\n",
- " u=fixed(us),\n",
- " step=play)\n",
- "\n",
- "widgets.HBox([slider])\n",
- "\n",
- "for i in range(nt):\n",
- " umod = us[i].copy()\n",
- " umod[-1] = 25 + 10*np.sin(2*np.pi*t/T)\n",
- " us[i+1] = fdm_step(umod, dx, dt, nu)\n",
- " # Update time\n",
- " t += dt\n"
+ "Your answer here."
]
},
{
"cell_type": "markdown",
- "id": "649e7062-eccf-4aab-bd8b-859a00ded411",
+ "id": "25b64dff",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Task 2.2:</b> \n",
+ "<b>Task 5.4:</b> \n",
"\n",
- "Why is the right boundary dealt with differently in the code than previously? What is different in this version compared to the first?\n",
+ "Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b.\n",
"\n",
- "Record your answer in the following markdown cell. \n",
"</p>\n",
"</div>"
]
},
{
"cell_type": "markdown",
- "id": "4ff6ab87",
+ "id": "8c1db830",
"metadata": {},
"source": [
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "Your answer here."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "36284ee9",
+ "metadata": {},
+ "source": [
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
- "<b>Solution</b> \n",
+ "<b>Task 5.5</b>\n",
+ "\n",
+ "Copy the code of task 4 and make sure to use the Dirichlet conditions of task 3: constant Dirichlet conditions. Implement the Implicit scheme by modifying the code of how the matrix A and vector b are built.\n",
"\n",
- "Replacing the right-hand boundary with a sinusoidal function means that the temperature at the right end of the rod now fluctuates and this then affects the temperature as it diffuses through the rod. \n",
- " \n",
"</p>\n",
"</div>"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "4edddcaf",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "YOUR_CODE_HERE"
+ ]
+ },
{
"cell_type": "markdown",
"id": "3d1dfe3d",
diff --git a/content/GA_1_6/GA_1_6_solution.ipynb b/content/GA_1_6/GA_1_6_solution.ipynb
index 4166d6c2..55f07e19 100644
--- a/content/GA_1_6/GA_1_6_solution.ipynb
+++ b/content/GA_1_6/GA_1_6_solution.ipynb
@@ -7,7 +7,7 @@
"id": "9adbf457-797f-45b7-8f8b-0e46e0e2f5ff"
},
"source": [
- "# Workshop 6: An ODE to Probably Doing Enough (PDE)\n",
+ "# GA 1.6: An ODE to Probably Doing Enough (PDE)\n",
"\n",
"<h1 style=\"position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0\">\n",
" <style>\n",
@@ -30,11 +30,28 @@
"source": [
"# Overview\n",
"\n",
- "This assignment contains two parts: treating non-linear ODEs and treating the diffusion equation (PDE).\n",
- "\n",
- "## Section 1: Solving Non-linear ODEs\n",
+ "This assignment contains two parts: treating non-linear ODEs and treating the diffusion equation (PDE).\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "453992c1",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "0933143e",
+ "metadata": {},
+ "source": [
+ "## Part 1: Solving Non-linear ODEs\n",
"\n",
- "In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution. \n"
+ "In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution. "
]
},
{
@@ -42,7 +59,7 @@
"id": "735043d3",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1</b>\n",
"\n",
@@ -60,7 +77,7 @@
"id": "17ca3c02",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.1</b>\n",
"\n",
@@ -82,13 +99,21 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "4d30d3b8",
+ "metadata": {},
+ "source": [
+ "Write your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "c221dccd",
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -109,7 +134,7 @@
"id": "4f3fc628",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.2</b>\n",
"\n",
@@ -120,7 +145,7 @@
},
{
"cell_type": "code",
- "execution_count": 38,
+ "execution_count": 2,
"id": "25bcec4e",
"metadata": {},
"outputs": [
@@ -133,6 +158,20 @@
}
],
"source": [
+ "# import numpy as np\n",
+ "\n",
+ "# def g(x):\n",
+ "# return YOUR_CODE_HERE\n",
+ "\n",
+ "# def g_der(x):\n",
+ "# return YOUR_CODE_HERE\n",
+ "\n",
+ "# x = .01\n",
+ "# for j in range(100):\n",
+ "# x = YOUR_CODE_HERE\n",
+ "# # Next task will go here\n",
+ "\n",
+ "# SOLUTION\n",
"import numpy as np\n",
"\n",
"def g(x):\n",
@@ -146,7 +185,6 @@
" x = x - g(x)/g_der(x)\n",
" if np.abs(g(x)) < 1e-6:\n",
" break\n",
- "\n",
" \n",
"print(\"The solution found is \", x, \" it took \" ,j , \" iterations to converge.\")"
]
@@ -156,7 +194,7 @@
"id": "c210989a",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.3</b>\n",
"\n",
@@ -172,7 +210,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -195,7 +233,7 @@
"id": "e4723ca1",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 1.4</b>\n",
"\n",
@@ -211,7 +249,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -234,7 +272,7 @@
"id": "fcb52681",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2</b>\n",
"\n",
@@ -251,12 +289,20 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "6ef1b02a",
+ "metadata": {},
+ "source": [
+ "Write your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "8b10ee75",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2.1</b>\n",
"\n",
@@ -273,7 +319,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -304,7 +350,7 @@
"id": "3a0f172f",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2.2</b>\n",
"\n",
@@ -326,7 +372,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -357,7 +403,7 @@
"id": "726c43cb",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 2.3</b>\n",
"\n",
@@ -374,7 +420,7 @@
},
{
"cell_type": "code",
- "execution_count": 39,
+ "execution_count": 3,
"id": "57c0662a",
"metadata": {},
"outputs": [
@@ -390,9 +436,58 @@
}
],
"source": [
- "import matplotlib.pyplot as plt\n",
+ "# def g(y_iplus1,y_i, t_iplus1):\n",
+ "# return YOUR_CODE_HERE\n",
+ "\n",
+ "# def g_der(y_iplus1):\n",
+ "# return YOUR_CODE_HERE\n",
+ "\n",
+ "\n",
+ "# # Define parameters:\n",
+ "# dt = .3\n",
+ "# t_end = 10\n",
+ "# t = np.arange(0,t_end+dt,dt)\n",
+ "\n",
+ "# y_EE = np.zeros(t.shape)\n",
+ "# y_IE = np.zeros(t.shape)\n",
+ "\n",
+ "# # Define Initial Conditions\n",
+ "# y_EE[0] = YOUR_CODE_HERE\n",
+ "# y_IE[0] = YOUR_CODE_HERE\n",
"\n",
+ "# # Perform time-integration\n",
+ "# newtonFailed = 0\n",
+ "# for i in range(0, len(t)-1): \n",
+ " \n",
+ "# # Forward Euler:\n",
+ "# y_EE[i+1] = YOUR_CODE_HERE\n",
+ "\n",
+ "# # Backward Euler:\n",
+ "# y_IE[i+1] = YOUR_CODE_HERE # Initial guess\n",
+ "# for j in range(200):\n",
+ "# y_IE[i+1] = YOUR_CODE_HERE\n",
+ "# if np.abs(g(y_IE[i+1],y_IE[i],t[i+1])) < 1e-6:\n",
+ "# break\n",
+ " \n",
+ "# if j >= 199:\n",
+ "# newtonFailed = 1\n",
+ " \n",
+ "\n",
+ "# # Plotting the solution\n",
+ "# plt.plot(t, y_EE, 'r', t, y_IE, 'g--')\n",
+ "# if newtonFailed:\n",
+ "# plt.title('Nonlinear ODE with dt = ' + str(dt) + ' \\nImplicit Euler did not converge')\n",
+ "# else:\n",
+ "# plt.title('Nonlinear ODE with dt = ' + str(dt))\n",
"\n",
+ "# plt.xlabel('t')\n",
+ "# plt.ylabel('y')\n",
+ "# plt.gca().legend(('Explicit','Implicit'))\n",
+ "# plt.grid()\n",
+ "# plt.show()\n",
+ "\n",
+ "\n",
+ "# SOLUTION\n",
"def g(y_iplus1,y_i, t_iplus1):\n",
" return y_iplus1-y_i-dt*(np.sin(y_iplus1**3)+np.sin(t_iplus1))\n",
"\n",
@@ -449,7 +544,7 @@
"id": "6b6d9964",
"metadata": {},
"source": [
- "## Section 2: Diffusion Equation in 1D\n",
+ "## Part 2: Diffusion Equation in 1D\n",
"\n",
"The 1-D diffusion equation reads $$\\frac{\\partial u}{\\partial t}=v\\frac{\\partial^2 u}{\\partial x^2}$$\n",
" \n",
@@ -457,20 +552,9 @@
"\n",
"Unlike the problem of Wednesday, here there is no exchange of heat with the ambient and the temperature evolves in time. The temperature initially is uniform along the rod, equal to $7°C$. Then it is heated at both ends. . \n",
"\n",
- "\n",
+ "\n",
"\n",
- "The problem is schematized as a one-dimensional $30cm$ steel rod of with a diffusivity coefficient of $4 mm^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ steps. "
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 40,
- "id": "ef5ab0dd",
- "metadata": {},
- "outputs": [],
- "source": [
- "import numpy as np\n",
- "import matplotlib.pyplot as plt"
+ "The problem is schematized as a one-dimensional $0.3 m$ steel rod of with a diffusivity coefficient of $4e-6 m^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ time steps and use 15 points to represent the rod."
]
},
{
@@ -478,7 +562,7 @@
"id": "c300a7fd",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3</b>\n",
"\n",
@@ -501,7 +585,7 @@
"id": "84b32366",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.1:</b>\n",
"\n",
@@ -516,7 +600,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -539,7 +623,7 @@
"id": "4ae351ba",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.2:</b>\n",
"\n",
@@ -556,7 +640,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -579,7 +663,7 @@
"id": "71a1284a",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.3:</b>\n",
"\n",
@@ -596,7 +680,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -621,7 +705,7 @@
"id": "6ab571e7",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.4:</b>\n",
"\n",
@@ -638,7 +722,7 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -664,11 +748,11 @@
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#facb8E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#facb8E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>NOTE</b>\n",
"\n",
- "If you have doubts of your solution, ask a staff member! It is important to be in the right track!!\n",
+ "If you have doubts of your solution, <b>stop</b> and ask a staff member! It is important to be in the right track!!\n",
"\n",
"</p>\n",
"</div>"
@@ -679,7 +763,7 @@
"id": "2ad1f7c0-14d4-4363-8ed9-681e1e271741",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.5:</b> \n",
"\n",
@@ -691,7 +775,7 @@
},
{
"cell_type": "code",
- "execution_count": 41,
+ "execution_count": 4,
"id": "efd223ed-a7db-4680-8c81-649ea88b5275",
"metadata": {},
"outputs": [],
@@ -706,13 +790,13 @@
"# nt = \n",
"\n",
"# Solution\n",
- "T_left = 38 \n",
- "T_right = 25 \n",
- "T_initial = 7 \n",
- "L = 300 \n",
- "nu = 4 \n",
- " \n",
- "dx = 20\n",
+ "T_left = 38\n",
+ "T_right = 25\n",
+ "T_initial = 7\n",
+ "L = 0.3\n",
+ "nu = 4/1000/1000\n",
+ "\n",
+ "dx = 0.02\n",
"x = np.arange(0,L,dx)\n",
"n = len(x)\n",
"dt = 50\n",
@@ -732,40 +816,37 @@
"id": "0e235c76",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.6:</b> \n",
"\n",
"Define the initial conditions and the boundary conditions. **Fill in the missing parts of the code.**\n",
"\n",
+ "We define a 2-dimensional Numpy array <code>T</code> where the first index, <code>j</code>, represents time and the second index, <code>i</code>, represents space, for example: <code>T[j, i]</code>. Initialize <code>T</code> with a matrix of zeros.\n",
+ "\n",
"</p>\n",
"</div>"
]
},
{
"cell_type": "code",
- "execution_count": 42,
+ "execution_count": 5,
"id": "673b1ff5-06e2-44c8-b6a4-031a00b0f190",
"metadata": {},
"outputs": [],
"source": [
- "# Initialise empty solution array \"T\"\n",
- "T = np.zeros((m,n))\n",
- "\n",
- "# Initialise initial conditions into the solution array t=0\n",
- "# us[0] = \n",
- "# Solution:\n",
- "T[0,:] = T_initial\n",
- "\n",
- "# Set boundary conditions into the solution array for every time step\n",
- "# us[:,0] = \n",
- "# us[:,-1] = \n",
- "# Solution:\n",
- "T[:,0] = T_left\n",
- "T[:,-1] = T_right\n",
- "\n",
+ "# T = YOUR_CODE_HERE\n",
+ "# T[0, :] = YOUR_CODE_HERE\n",
+ "# T[:, 0] = YOUR_CODE_HERE\n",
+ "# T[:, -1] = YOUR_CODE_HERE\n",
+ "# b = YOUR_CODE_HERE\n",
"\n",
- "b = T[j,1:-1] + nu*dt/(dx**2)*(T[j,2:]-2*T[j,1:-1]+T[j,:-2])\n"
+ "# SOLUTION\n",
+ "T = np.zeros((m,n))\n",
+ "T[0, :] = T_initial\n",
+ "T[:, 0] = T_left\n",
+ "T[:, -1] = T_right\n",
+ "b = T[j, 1:-1] + nu*dt/(dx**2)*(T[j, 2:]-2*T[j, 1:-1]+T[j, :-2])"
]
},
{
@@ -773,23 +854,31 @@
"id": "e7c5bf2e",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.7:</b> \n",
"\n",
- "Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b.\n",
+ "Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b. As in the workshop and textbook, the <code>A</code> matrix consists only of the unknowns in the problem.\n",
"\n",
"</p>\n",
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "7e0147f1",
+ "metadata": {},
+ "source": [
+ "Your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "641bb333",
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -801,16 +890,20 @@
},
{
"cell_type": "code",
- "execution_count": 43,
+ "execution_count": 6,
"id": "787c37f6",
"metadata": {},
"outputs": [],
"source": [
+ "# for j in range(m-1):\n",
+ "# A = YOUR_CODE_HERE\n",
+ "# b = YOUR_CODE_HERE\n",
+ "# T[j+1,1:-1] = YOUR_CODE_HERE\n",
+ "\n",
+ "# SOLUTION\n",
"for j in range(m-1):\n",
- " # Building matrix A\n",
" A = np.zeros((len(x)-2,len(x)-2))\n",
" np.fill_diagonal(A, 1)\n",
- " # Building vector b\n",
" b = T[j,1:-1] + nu*dt/(dx**2)*(T[j,2:]-2*T[j,1:-1]+T[j,:-2]) \n",
" T_1_to_n_minus1 = np.linalg.inv(A) @ b\n",
" T[j+1,1:-1] = T_1_to_n_minus1"
@@ -821,11 +914,11 @@
"id": "794f6329",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.8:</b> \n",
"\n",
- "Visualization of the temporal evolution.\n",
+ "Use this code cell if you would like to verify your numerical implementation. For example, visualize the temperature profile at different time steps.\n",
"\n",
"</p>\n",
"</div>"
@@ -833,28 +926,17 @@
},
{
"cell_type": "code",
- "execution_count": 44,
+ "execution_count": 7,
"id": "56f6fdea",
"metadata": {},
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- "<Figure size 640x480 with 1 Axes>"
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
+ "outputs": [],
"source": [
- "plt.plot(x, T[0,:])\n",
- "plt.plot(x, T[30,:])\n",
- "plt.plot(x, T[199,:])\n",
- "plt.xlabel('x')\n",
- "plt.ylabel('T')\n",
- "plt.show()"
+ "# plt.plot(x, T[YOUR_CODE_HERE,:])\n",
+ "# plt.plot(x, T[YOUR_CODE_HERE,:])\n",
+ "# plt.plot(x, T[YOUR_CODE_HERE,:])\n",
+ "# plt.xlabel('x')\n",
+ "# plt.ylabel('T')\n",
+ "# plt.show()"
]
},
{
@@ -862,7 +944,7 @@
"id": "17e7be50-79a7-4699-b0d8-908a58ce36d7",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 3.9:</b> \n",
"\n",
@@ -873,12 +955,20 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "8db518cd",
+ "metadata": {},
+ "source": [
+ "Your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "fb6cc514-2b49-43df-bd26-35ade685e4db",
"metadata": {},
"source": [
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b> \n",
"\n",
@@ -893,7 +983,7 @@
"id": "9fcbb39f",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 4</b>\n",
"\n",
@@ -913,13 +1003,13 @@
},
{
"cell_type": "code",
- "execution_count": 45,
+ "execution_count": 8,
"id": "05534522",
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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OOzl06BAxMTFcdNFFzJ07l379+lFcXMyGDRv48MMPOXbsGMnJyVxzzTVMnTq1xkHGkxKi7Rw4Vlx3IzNOXe6DbXNh+0JzdeD7FkHQOWxm6YMiQyK55YJbGJ42nPVZ65m+dTrzds8jPSedl75/iX+s/geDWgzilrRbaB/X3upyRUR8WqWjkvl75vPWT2+xI3cHABHBEYxoO4I7L7yThqHHP6Af2wtfPGlev/oPbg0y58rrembqmqdGZu7/8Efm/3yYvwxtz53dm9ftk+dnwH+6Q/FRuPIJ6Pt83T6/D8gtzWXOzjlM3zrd9Z8NoF1sO4a2HsqgFoM0E0pE5BxUOCr4atdXvL3+bXbn7QYgKjiKkReO5I52d1TvV3RUwsQhsOcbaNIF7p4Lge4dD/GZkRl/UqdrzfxSVBIM/idMuxO++Qe06QfNetT963ixGHsMI9uNZETbEazJXMP0bdOZv3s+m49uZvMPm/n7qr9zZZMrGdJqCFc3uZqQQP8evRIROV/ljnK+2PkF76x/h735ewGIDonmzgvvZES7EUSHnCI4rPiXGWSCI2DY224PMufKu6rxYfGRx7c0cEeYAbhwCFw8EtZNgpkPwEPfQqj7Rpq8lc1mo3NiZzonduYPXf7Al7u+ZPaO2WzK3sTSfUtZum8p0SHRDGw+kCGth3BR3EWa4i0iApRXljN752zeWf8O+wv2A9DA3oBR7Udx2wW3ERkSeepvPPQTLP6reX3Q/5mNv15GYaaOuHVkxmngy7D7a/O85Vd/gBsnuO+1fEDD0IaMbDeSke1GsuPYDmbtmMWcnXPILMpk2rZpTNs2jWbRzRjccjDXt7qexpGNrS5ZRMTjyirL+Gz7Z7y34T0OFh4EIDY0ltHtR3PrBbcSHhx++m8uL4YZY8BRDm2dW+54H/XM1JFFmw9z78Qf6dg4htmPXem212HPd/DBtebqwLd8CBcOdd9r+aBKRyU/ZPzA7B2zWbh3IcUVxa77uiR1YXDLwfRr1u/0n0BERPxEaWUpM9Nn8t6G9zhcdBiARqGNuLvD3QxPG37mEOP05e/gh7chMgkeWgERjdxcdRWfXjSvrnkqzKzff4whb3xLYrSd75/p67bXAWDRn+HrV/12deC6UlRexII9C5i9YzY/ZPyAgflWDw0MpXfT3gxtNZRuyd0IDKiDRQ5FRLxESUUJn2z7hP9u/C9Hio8AkBCWwD0d7+GmNjcRGhRasydKXwCTbjav3zEDWrv5d9svKMycwFNhJiO3hMvHLSIwwEb6XwcREODGPo2KMnivr3kes2UvuGMm6BfyGR0qOMScnXOYtWOWq2sfzP/g17W8jsGtBtOmYRvrChQRqaWi8iKmb5vO+xvfJ7skG4DE8ETu63gfN7a5EXvgqfc0PKXCLJjQAwoOQ7cHzV4ZD1OYOYGnwkx5pYO0P36FYcCPf+xLXOQ5vGnOx5Gt8HYvKC+CXk9Dr6fc+3p+wjAMNmZtZNaOWXy1+ytyS3Nd97WLbceQVkMY1GKQuTiUiIgPKCovYsrWKUzcNJGjJUcBSIlI4b6L7mNoq6HnPrvTMGDqHbBlDsS3hfuXQnBY3Rd+FgozJ/BUmAHo/JcFZBeW8dWve9Iu2QMzjX6aAp8+ANiODwH2cf9r+pHyynKW71/OrB2zWH5gORWOCgACbYFc2fj4NO/Uq8/t04yIiIdkFWcxbes0Pt7yMcdKjwHQJLIJ9190P9e3up7ggODze+I1H8KsxyAgGMYshuS63Q27prTOjEXio+xkF5aRmV9KO0+0sXS6DfauhNXvw4z74MGvIaaJB17YPwQHBtOnWR/6NOtDTkkOc3fPZdb2WWzM3siy/ctYtn8ZUSFR5jTvVkPoFN9J07xFxHIbszYyafMk5u6e6/oQ1iy6GWM6juHalteef4gByN4BXx0f6e/zJ8uCzLnSyEwduvO97/k6PYu/D+/EzZ09FCrKS+C//c3+mSZdYfQXfr/dgbvtPLaT2TtnM3vHbNcMAICmUU0Z3Gowg1sN1jRvEfGockc5C/csZNLmSfx05CfX7Z3iOzGy3Uj6NetHUEAtxycqK+C/A+DAj9C8J9z1uaX9mDrNdAJPhpknpq1j5poD/H7gBTzcq7VbX6uanN3w1lVQkguXPwwDx3nutf1YpaOSVYdXMXvHbBbsWVBtmnfnxM4MbTVU07xFxK2yi7P5ZNsnTNs6jcziTACCAoIY1HwQI9qNoENch7p7saUvw9JxYI8xF2ZtkFp3z30eFGZO4Mkw8/JXW3hz2Q7uvqI5zw/28AaIW76EKbeb14dPhPY3ePb1/VxReRGL9i7i8x2f88Ohqmne9kA7VzW5iv7N+3NV46tqtm6DiMhZ/Jz9M5M2T+KrXV9R7igHIC4szrUJb1xYXN2+4L5V5qiMUQk3vQcdb67b5z8P6pmxSHyU2Sjqti0NzqTttXDF4/Dta/D5o5DYAeI8ODrk58KDw12nmDIKM1zTvHfl7mLBngUs2LOA0MBQrmpyFQOaD6Bnk56EBXm++19EfFeFo4JFexcxefNk1mSucd3eoVEHRl44kgHNBhAcWIt+mNMpLYCZY8wg03G4VwSZc6UwU4cSojywpcGZ9P4T7F8Fe76FaXfBfQshRCMFdS0pIon7Ot7HvR3uZcvRLczbPY95u+exv2A/8/fMZ/6e+YQFhdGrSS8GNB/AFY2vqPkiVSJS7+SU5DAjfQZTtkxx9ekF2YLo17wfd7S7g4vi3dyEO+9pyNkF0U3g2r+797XcRKeZ6tDKndnc9vZKWsRFsOS3vdz6WqeVnwFv9oTCTOg0Am74D2gGjtsZhsHPR39m3u55zN89nwMFB1z3hQeF0yu1KthoqreIAGw9upXJWybzxc4vKK00PwTHhsYyPG04t1xwCwnhCe4vYvMcmDoSsMGo2dCip/tfs4bUM3MCT4aZnUcK6P3qMiLtQWx8YYBbX+uMdn0NHw4x928a8i+49C7raqmHDMNgU/Ym14jNocJDrvsigiO4JvUaBjQfQI+UHue+mJWI+LQKRwVL9y1l0uZJ/Hj4R9ft7WLbcceFdzCg+QDPfeDJz4D/dIfio3DFr6Hfnz3zujWkMHMCT4aZgtIKOjw/D4Cf/zyA8BALz+J9PR4WvQCBdvN0k4+sFeBvDMNgQ9YGV7A5cap3ZHAkvZv2ZkDzAXRP7u6ec+Ei4hVyS3OZmT6Tj7d87PqAE2gLpG+zvoxsN5KL4y/27DpWhmHuu7R9ISR1hPsWe92yHgozJ/BkmDEMgwufm0dxeSVLf9uL5nERbn29M3I4zNlN2+ZCw+Zw/zIIa2BdPYLDcLD+yHrzVNSe+WQWZbruiwqJoneqGWwuT75cwUbET6TnpDN5y2Tm7JhDSWUJAA3sDVynkpIikqwp7Id34MvfQlCo+fshoa01dZyBwswJPBlmAK7+2xL2ZBcx/cHudGke6/bXO6Oio/D21XBsL1xwHdw2Sf0zXsJhOPjpyE+uHhvnzrYA0SHR9GnahwHNB9A1uWvtVvMUEY+rdFSyfP9yJm2exPcZ37tuv6DhBYxsN5JBLQZZOykgc4v5u6GiBAb9Dbrdb10tZ6AwcwJPh5mbJ6zgxz05/HvEpVx3kSf2NDiLA2vMtQMqy6DfX+CKX1ldkfyCw3CwNnMtc3fNZcGeBa7dbsH8BOcMNl2SutR+hU8RcZu8sjw+Tf+Uj7d87JoEEGALoE/TPoxoO4LOiZ2t3xKlogze7Q0ZG6B1Xxj5idd+yNU6MxZKiHZOzy6xuJLjGl8KA1+GL56AhWOhyWXQrIfVVckJAmwBdE7sTOfEzjzV9SnWZK5h3u55LNizgKMlR5mRPoMZ6TNoaG9I32Z9GdB8AJ0TOyvYiHiJncd2MnnLZGbtmOVaKTw6JJqb027m1gtuJSUyxeIKT7DkRTPIhMXC0H97bZA5V/ppWMfiIy1cOO90LrvH3JBywzSYfre5IWWkB6b8yTkLDAikS1IXuiR14amuT7H68Grm7Z7Hwj0LySnNYfq26UzfNp3Y0Fj6NevHgOYDuCThEgUbEQ/LLs5m0d5FzN09l1UZq1y3t27QmpHtRnJdy+u8b+HM3d/At/80rw95HaIs6tdxA/0ErGMJ0eZ5UMsWzjsVmw2u/wdkrIcjW+CTeyzfQEzOLiggiG7J3eiW3I1nuj3DqoxVzNs9j0V7F3G05ChTt05l6tapRAVH0SWpCz1SetA9pTupUanWD2WL+KGjJUdZtHcR83bPY1XGKhyGAwAbNq5JvYaR7UbSJamLd/7/Kz4Gnz4IGHDJndBusNUV1Sn1zNSxaav28fsZ67k6LZ6J93R1++udkyNb4e1roLwQev7W3N5dfE65o5xVh1Yxb48ZbHJLc6vd3ziyMd1TutM9uTvdkrsRY4+xqFIR33es5JgrwPyQ8QOVRqXrvvaN2jOg+QAGNB/gXaeSTmXGGHN0vmELePAbsHv/BrlqAD6Bp8PMkq2Z3P3+Ki5MjubLX3vPSoouGz6BGfea10dMgzQLF/eTWqt0VLL56Ga+O/gd3x36jrWZa6lwVLjuD7AF0L5Rey5PvpzuKd25OP5iTfsWOYvc0lwW713MvN3zWHloZbUA0y62HQOaD6B/8/6kRlm7q3SNOX/u2wLhnnmQ2sXqimpEYeYEng4zGw/kcv2/viEu0s6Pf+zr9tc7L1/8Fla9A6ENzP6ZBk2trkjqSFF5ET8e/tEMNwe/Y0fujmr3hwWFVZ2SSu5Oi5gW3jkkLuJhuaW5LNm3xAwwB1dSYVR9KGgb29YMMM360zTax35eHtsHE66A0ly4+im45mmrK6oxzWaykHM209HCUiodBoEBXviLYsCLcGA1HFwD00bBPXMhSPsF+YPw4HCuanIVVzW5CoDDhYf57pAZbFYeWsnRkqMs37+c5fuXA5AYnug6JXV5yuXEhlq8NpKIB+WV5bF031Lm7Z7HioMrqo1qpjVMcwWY5jHNLauxVhwO+OwhM8g0vgyu+q3VFbmNRmbqWKXDoM2zX+Iw4Idn+rgagr3Osb3w1lVQnANdxsB1vrlTqtScw3CwLWcb3x38jhUHV7Dm8BrKHGXVHtMuth2Xp1xOj5QeXJJwiTbFFL9TUFbAkn1LmL97Pt8e/JZyR7nrvtYNWrtOIbWMaWlhlXXk29dhwZ8gOMIchW/UyuqKzolOM53A02EGoMuLCzmSX8qcx66kQ2Mvbr5MX2DuzQFw03vQ8WZr6xGPKqkoYU3mGtcpqa05W6vdbw+00zmxMz1SenB58uWkNUzTKSnxSYXlha4RmG8PfFstxLeMacnA5gPp37w/rRr41i/7M8rYYE74cJTD4Neh8yirKzpnOs1ksfhIO0fyS71revaptOkHV/0Olv8NZv3K3Gws/gKrqxIPCQ0KpUdKD3qkmIsoZhVnsfLQSle4OVJ8hBUHV7Di4AoAGoU2Mk9JHT8tFR8eb2X5ImdUVF7Esv3LmLd7Hl/v/7pagGke3ZyBLQYyoNkAWjdsbWGVblJebM5ecpSbW9lcepfVFbmdwowbJETb+fmQl601czq9noZ938Ou5TD1Thiz2Cem7EndiwuL4/qW13N9y+sxDIMdx3aw4uAKvjv0HasPrya7JJs5O+cwZ+ccwByS757SncsSL6NjXEeFG7FcUXkRyw8sZ/7u+Szfv5zSyqqfwc2im7mmUbdp0Ma/RxkXvgBHNkNkIgz5l9+s8nsmCjNukBDlXAXYS7Y0OJOAQLjpv/BWT8jaCnN+A8Perhdvfjk9m81G64atad2wNXe1v4uyyjLWZa7ju0Nmv83m7M1sP7ad7ce289HPHwGQFJFEx7iOdIjrQMe4jrRv1J7w4HCL/ybi74orivl6/9fM2z2P5fuXu3amBmga1dQVYOrNadLti+D7Ceb1of+BiEbW1uMhCjNuEB/lhVsanElkPNz8PnxwnbmoUtPLocu9VlclXiQkMISuyV3pmtyVX1/6a3JKcvg+43tWHlzJT0d+YsexHWQUZpBRmMGCPQsAc42bVg1auQLORXEX0apBK229IOfNYTjYnbubDVkb2JC1gY1ZG9mas7XaLKQmkU1cAaZtbNv6EWCcio7CZw+b17veD228dHkQN9BPFTdIiPLCLQ3Opll36PcCzP8jzH0KUi4xN6kUOYWGoQ0Z2HwgA5sPBMwGy5+zfzZ/yRwxf9EcLjpMek466TnpzEyfCZjr3LSLbWcGnHgz4CRHJNevXzhSY4cLD7Mxa6MruGzK3kRBecFJj2sc2Zj+zfszoPkALoy9sH6+nwwDZv8KCjIg7gLo+4LVFXmUwowb+NzIjFP3R80NKbfMMdefeWAZhGvdETm7iOAI1waZTplFma5fQhuObGBj9kYKywtZk7mGNZlrXI+LDY2lY1xH16V9XHttwVAP5Zflsyl7U9X7JWsjmcWZJz3ul4G4Q6MONI5sXD8DzInWTYLNsyEg2GwVCKlfp3gVZtzA2TPjUyMzYPbJDP03HN4EObvMTclunwIBAVZXJj4oITyBPk370KdpH6DqFMH6rPWuT9vbjm7jaMlRlu1fxrL9y1zf2zy6uav3pmNcRy6IvYCQwBCr/ipSx8oqy9iWs60q7GZtYFfurpMeF2ALoE2DNq73Qoe4DjpVeSpHd8JXfzCv934WUi62tBwraJ0ZN9iTXcjVf1tKaHAAm/880Pc+MRxaD+/2hcpS6PMc9HzS6orET5VUlLDl6JZqPRD78ved9LjggGDaxratFnCaRjclwKag7e0choM9eXuqnS7acnRLtcXqnBpHNq7WRN42tq2ayM+msgLeHwT7f4BmV8Co2ebEDj+gdWYs5jzNVFLuoKC0gqhQH9vYL/kic0XgWY/B4r9Cky7Q4iqrqxI/FBoUysUJF3NxwsWu23JKctiYtZGNWRtdozjHSo+5As/HfAxAVEgUHeM6ktYwjaSIJJIikkiOSCYpIomG9oa+9yHCTxwpOlJtxGVT1ibyy/NPelwDe4NqIy4d4jpoO43z8fXfzSBjj4Yb3/SbIHOuFGbcIDwkiEh7EAWlFWTml/pemAG45E6zf2bdJPjkHnjga4hOtroqqQcahjakZ5Oe9Gxi7jpvGAb78/e7wsyGrA1szt5Mfll+tUX9TmQPtJsBJzzppKDj/FOf+M+fYRgUlheSWZxJRmEGm7M3u8LL4aLDJz0+NDCUdo3aVQsvTSKbKHDW1vaFsPRl8/p1r9brTYMVZtwkIcpOQWkFR/JLaRXvg4vQ2Wxw7d/h4DrI3GQGmlGzIVBvGfEsm81GanQqqdGpXNvyWgDKHeWk56Sz4cgGduftdk0LP1R4iOySbEorS9mTt4c9eXtO+7zRIdHVwo3rEp5EcmQyCeEJBAf44AeRWjAMg7yyPLKKszhSfIQjRUdO+WdWcRbFFcWnfI4AWwCtG7R2NXN3jOtIqwat6t2xdLuc3fDJvYABnUfDRbdYXJC19JvJTeKi7OzMKvS9GU0nCgmHWz6Et3vB3hWw+M/Q789WVyVCcEAwFza6kAsbXXjSfWWVZRwuOlwt4Jz45+HCw+SX55NXlkdeWR7bcrad8jVs2IgPi68WdE4c3UmMSCQ2NNYn+nYMwyC3NLd6MDlNSDlx1dyziQyOJD48nrSGaa4Rl3ax7TTq5W7lxTD1Dig5Bo07w6BXrK7IcgozbuKzM5p+Ka41DH0Dpo+Cb/8Jqd2g7XVWVyVyWiGBIaRGpZIalXraxxSUFVQFnKIMDhUccgUgZ+gpd5STWZxJZnEm67PWn/J5ggOCaRTWCHugneCAYPMSGExIQAjBAcGEBIa4bnPe77ztl3+e+LiQgJBqz+O6/RTfY7PZyC7OPimcZBVnkVmcSVaROcpyqobb04kOiSY+LJ648DgSwhKq/RkfFu+6HhYUds7/PlJLhmGu1J6xAcLjzA+cQdrdXmHGTeJ9aUuDs2l/A+x7GFb+Bz59yFx/JraF1VWJnLfIkEhah7Q+7SaDDsPB0ZKjHC487Ao3J4afjIIMV0DIKMzwcPXnr4G9AXFhcSSEJ1T7Mz4s3nU9LiyO0KBQq0uV01n1Lvz0MdgCYPj7ENPE6oq8gqVhZsKECUyYMIHdu3cD0L59e5577jkGDRoEmEOjL7zwAm+//TY5OTl069aNf//737Rv397CqmvGJ1cBPpO+L8D+H82u+Wl3wb0LIFg/8MQ/BdgCXL/Y28ed+udNuaOczKJMjhYfpdxRTrmjnLLKMvNPRxnlleZtzj+dt5U5yqrdXu37Kmtw3y+e02E4iA2NrT6SEhZHfHh8tdGUuLA4rdXj6/b9AHOfNq/3fUGzTE9gaZhp0qQJL7/8Mq1bm5+OJk6cyNChQ1m7di3t27fnlVdeYfz48XzwwQekpaXx17/+lX79+rF161aioqKsLP2s/OY0k1NQiPkp4K2rIGM9zP0DDP6n1VWJWCY4IJjGkY1pHNnY0jochsMn+naklvIPmx8kHeVw4Q3Q4zGrK/Iqlv4PGDx4MNdeey1paWmkpaXx4osvEhkZycqVKzEMg9dee41nn32WYcOG0aFDByZOnEhRURGTJ0+2suwacZ1myvOTMAPmcOawdwAbrP4A1n1sdUUi9Z6CTD1QWQ7TR0P+IYhva67Urmnt1XjN/4LKykqmTJlCYWEh3bt3Z9euXWRkZNC/f3/XY+x2O1dffTUrVpy8roRTaWkpeXl51S5WSIg+PjJT4EdhBqB1H+j1lHl9zm/MrQ9ERMR9FjxnzigNiYJb/wd2H1zuw80sDzMbNmwgMjISu93Ogw8+yKeffsqFF15IRobZVJeYmFjt8YmJia77TmXcuHHExMS4Lqmpp5/R4E7xkWaYOVpYRlmFw5Ia3Oaq30Gr3lBRbA57llgTGEVE/N6GT8zJF2Cu8BvXxtp6vJTlYeaCCy5g3bp1rFy5koceeohRo0bx888/u+7/5QqRhmGccdXIp59+mtzcXNdl376T93nxhIbhIQQFmHVmF/rZ6ExAIAx7F6IbQ/Z2mPWoOV1QRETqzuFN5rYyYO6R1+56a+vxYpaHmZCQEFq3bs1ll13GuHHj6NSpE//85z9JSkoCOGkUJjMz86TRmhPZ7Xaio6OrXawQEGAjLtIP+2acIhrB8InmdvM/fw4rJ1hdkYiI/yg+BlNGQnmRORJ+zbNWV+TVLA8zv2QYBqWlpbRo0YKkpCQWLFjguq+srIxly5bRo0cPCyusOVffjL/MaPql1C4w4EXz+oI/mXs5iYhI7Tgc8OkDkLMLYprCTe/V2w0ka8rSqdnPPPMMgwYNIjU1lfz8fKZMmcLSpUuZO3cuNpuNxx9/nJdeeok2bdrQpk0bXnrpJcLDwxkxYoSVZdeYs2/Gp7c0OJuu98O+72HjDLPb/oGvITLe6qpERHzX8r/BtrkQFAq3fgTh2k38bCwNM4cPH+bOO+/k0KFDxMTEcNFFFzF37lz69esHwO9//3uKi4t5+OGHXYvmzZ8/3+vXmHHy+5EZMKcHDn4dMjZC1laYcQ/c+Zk+RYiInI9t82HpOPP6deMh5WJLy/EVNsPw787NvLw8YmJiyM3N9Xj/zPj5W3l98XZGdmvKizd29Ohre9yRrfD2NVBeaDaq9XnO6opERHzL0Z3mxr4luXDZvXD9eKsrstS5/P72up4ZfxIf7WdbGpxJ/AUw5HXz+tevwtavrK1HRMSXlBXB1DvNINOkCwx82eqKfIrCjBvVi56ZE3W8Gbo+YF7/9AE4usvaekREfIFhwOxfw+GNEBF/fCds7aN1LhRm3Khe9Mz8Uv+/mp8qSnLNBfXK/WDXcBERd/rhbdgwDWyBMPwDiE6xuiKfozDjRiduNunnrUlVgkLM/4zhjcwNKb/6ndUViYh4rz3fwbxnzOv9/wLNr7S2Hh+lMONGzkXzyiod5BaXW1yNB8U0gZveBWyw5kNYO8nqikREvE9+BkwfBY4K6HATXP6w1RX5LIUZNwoNDiQmLBioZ6ea4PiKlcc/bXzxBGRssLYeERFvUlEG00ZBwWFIuBCG/Es7YdeCwoybxUfVsybgE/X8LbTuBxUlZpd+8TGrKxIR8Q7zn4V9K8Eebe6EHRJhdUU+TWHGzU7sm6l3AgJg2Nvmctw5u+DzR7QhpYjIT1PNpl8wf0Y2amVtPX5AYcbNqkZm6umsnvBYuGUiBIbAljmw4nWrKxIRsc6h9eY0bICrfg8XDLK2Hj+hMONm9XpkxqnxpTDo/8zrC8fC7m8sLUdExBJFR2HqHVBRDK37Qq+nrK7IbyjMuFm97pk5Uee74aLbwHDA9LvNLn4RkfrCUQkzx8CxPdCgGQx7R3vY1SGFGTdLiKpHWxqcic0G1//D7NovzIRP7oHKCqurEhHxjKUvw/aFx3fC/p92wq5jCjNuppGZE4SEwy0fQUgU7PkWFr1gdUUiIu639StY/op5ffDrkHyRtfX4IYUZN1PPzC/EtYYb/mNeX/E6bJ5tbT0iIu6UvQNmHt+zruv90OlWa+vxUwozbuYcmcktLqekvNLiarzEhUOg+6Pm9c8eNv+zi4j4m7JCs+G3NBdSu0H/F62uyG8pzLhZTFgwIUHmYc4q0OiMS9+x0LQ7lOaZG1KWFVldkYhI3TEMmPUYZP4MkYkwfKJ2wnYjhRk3s9lsxEeqb+YkgcFw8/vmdveHN8IXT2pBPRHxHyv/AxtnQECQGWSik62uyK8pzHiAqwk4T2GmmuhkM9DYAuCnybBmotUViYjU3u5vYP6fzOv9X4Rm3a2tpx5QmPEAVxOwTjOdrEVP6H38P/2Xv4eDa62tR0SkNvIOwvTRYFRCx1ug2wNWV1QvKMx4gHNk5khePd3S4GyueBwuuBYqS83+maKjVlckInLuKo7/DCs8AokdYPA/tRO2hyjMeIBr4TyNzJxaQADcMAEaNodje+HTB8HhsLoqEZFzM/dp2L8KQmPg1o/MtbXEIxRmPEA9MzUQ1gBu+RAC7ZA+D74Zb3VFIiI1t3YS/PgeYINh70JsS6srqlcUZjxAPTM1lNwJrnvVvL7kRdi51NJyRERq5OA6mPMb83qvpyCtv6Xl1EcKMx6gkZlzcOmdcMkd5oaUn9xrNtOJiHiroqMw9U6z5y9tIFz1e6srqpcUZjwgIdoMM1kFpTgcWkvlrK79OyR1hKIsc1ZAZbnVFYmInKyywtw0N3cvNGwBN75l9gCKx+moe0CjCDPMVDgMcorKLK7GBwSHmf0z9hjY9z0seM7qikRETjbvadi5BILDzZ2wwxpYXVG9pTDjASFBAcRGmMtYq2+mhmJbwo1vmtdX/gc2zrS2HhGRE/3wDvzwtnn9xrcgqYO19dRzCjMe4trSQH0zNdf2WnMNGjD3ODmyzdJyREQA2L4QvvqDeb3P8+bmuWIphRkPcfbNHNH+TOem95+geU8oK4Bpd0JpgdUViUh9lrkFpt9trvDbaQRc+RurKxIUZjxGm02ep8AguPm/EJkER7bAnMe1IaWIWKMwCybfAqV50LQHDH5NK/x6CYUZD4mPdoYZbWlwziITYPj7YAuEDdNh1btWVyQi9U1FKUy9A47tMVcrv/V/EGS3uio5TmHGQ1xbGmhk5vw06wH9/mxen/s07F9tbT0iUn8YBsz+Nez9zpxlOWIaRDSyuio5gcKMh7gWzlOYOX/dH4F2Q8BRDtNHQWG21RWJSH3wzT/gp4/N0eHh70P8BVZXJL+gMOMhzi0NshRmzp/NBkP/DbGtIHcfzBwDjkqrqxIRf/bzLFj0gnl90P9B6z7W1iOnpDDjIRqZqSOh0eZutEFhsGMRLP+b1RWJiL86uBZm3m9e73o/dB1jbT1yWgozHuIcmSkoraCorMLianxcYntzFgHA0pdhzYeWliMifijvIHx8O1QUQ6s+MGCc1RXJGSjMeEikPYjQYPNwqwm4DnS6DS5/GDDMBfVWvml1RSLiL8oK4ePbIP8QxLc1+2QCg6yuSs5AYcZDbDabZjTVtQEvQfdHzetz/wBfv2ptPSLi+xwO+PQBOPQThDeCEVMhNMbqquQsFGY8SH0zdcxmg/5/haufMr9e9GfzokX1ROR8Lf4LbJ4NgSFw6yRzTRnxegozHuTsm9HITB2y2eCap6vWoPn6VXMdGgUaETlX6ybDN+PN60P+Bc26W1uP1JjCjAdVjcxoFeA6d8Wv4dq/m9e/nwCzf6Vp2yJSc3tWwKxfmdd7Pmn25YnPUJjxII3MuFnXMXDDBLAFmDOcPn0AKsutrkpEvN3RnTBlpLkgZ7shcM0fra5IzpHCjAepZ8YDLh5hbkwZEGTu4zR9tLmniojIqZTkwuTboPgoJF8MN74FAfrV6Gss/RcbN24cXbp0ISoqioSEBG644Qa2bt1a7TGjR4/GZrNVu1x++eUWVVw7ztlMmXn65epW7W80G/cC7bBljrlWRFmR1VWJiLeprDA/8GRthagUuH0KhIRbXZWcB0vDzLJly3jkkUdYuXIlCxYsoKKigv79+1NYWFjtcQMHDuTQoUOuy5dffmlRxbXjHJk5UqAw43YXDISR0yA4wlwpeNLNUJJndVUi4k3mPgU7FkNwONz+MUQnW12RnCdLVwGaO3duta/ff/99EhISWL16NVdddZXrdrvdTlJSkqfLq3POnpnsglIqHQaBATaLK/JzLXvBnZ+aQWbPt/DRDTDyEwiPtboyEbHa92/DqnfM68PehpSLLS3HV+3OKiSroJQ2iVHEhAVbVodXnRjMzc0FIDa2+i+bpUuXkpCQQFpaGmPGjCEzM/O0z1FaWkpeXl61i7doFGknwAYOA7ILNTrjEU27wajZEBYLB1bDxMFQcMTqqkTESukLzYU2AfqOhXaDLS3Hl01fvY+b3/yOV+ZusbQOrwkzhmHwxBNPcOWVV9KhQwfX7YMGDWLSpEksXryYV199lVWrVtG7d29KS08dBsaNG0dMTIzrkpqa6qm/wlkFBtiIjTjeBKy+Gc9JuRhGfwGRiXB4I7w/yNx3RUTqn8wt8MndYDjg4pFwxeNWV+TTth0uAKBNQqSldXhNmHn00UdZv349H3/8cbXbb731Vq677jo6dOjA4MGD+eqrr9i2bRtffPHFKZ/n6aefJjc313XZt2+fJ8qvsQT1zVgj8UK4+yuIbgLZ6fDfgZCz2+qqRMSTCrNg8i1QmgdNe8D1r5kLb8p52555PMwkRllah1eEmccee4xZs2axZMkSmjRpcsbHJicn06xZM9LT0095v91uJzo6utrFm7iagDUy43mNWsE9X0FsSzi2B/47CI5ss7oqEfGEilJzLZlje8wtCm79HwSFWF2VTyspr2RPtjlhp01iPR6ZMQyDRx99lJkzZ7J48WJatGhx1u/Jzs5m3759JCf7Zte5RmYs1qCpOUIT3xbyD5qnnDI2Wl2ViLiTYZir++5bCfYYGDENIhpZXZXP23mkEIcBMWHBxEfaLa3F0jDzyCOP8L///Y/JkycTFRVFRkYGGRkZFBcXA1BQUMBvf/tbvvvuO3bv3s3SpUsZPHgwcXFx3HjjjVaWft5cC+flaUsDy0QlwegvIekiKMqCD66D/autrkpE3OWb8bB+CtgC4ZYPIP4CqyvyC+mZ+YDZL2Oz+HSdpWFmwoQJ5Obm0qtXL5KTk12XqVOnAhAYGMiGDRsYOnQoaWlpjBo1irS0NL777juioqw9P3e+NDLjJSIambOcmnSFkmPw4RDY/a3VVYlIXfv5c1h0fCPaa1+BVr2trcePVPXLWHuKCSxeZ8Y4y87GYWFhzJs3z0PVeEa8VgH2HmENzHVoptwOu5bD/26C2/4HrftaXZmI1IUDa2DmA+b1rg9Al/usrcfPpLtmMlk/uOAVDcD1SUK0Rma8ij3SPH/eZgBUFJtbH2yeY3VVIlJbeQdhygjz/3XrvjDgJasr8jvbnKeZvGBkRmHGw5xNUpl5pWcdmRIPCQ4zZzZcOBQqy2DaXbDhE6urEpHzVVYIk2+F/EMQ387cfDbQ0hMRfqe0opI92eaedxqZqYecIzPF5ZUUlFZYXI24BIXATf+FTreDUQkz7oPVE62uSkTOlcMBM++HjPUQ3ghGTIHQGKur8ju7s4qodBhE2YNIjLZ2JhMozHhceEgQkXbzE8KRfJ1q8iqBQTD0P3DZvYABs38FKydYXZWInIvFf4YtcyAwBG6bbK4pI3Uu/YRTTFbPZAKFGUu4pmcrzHifgAC47lXo8Zj59dynYPnfra1JRGpm7ST45h/m9SFvQNPLra3Hj23zouZfUJixhGsVYIUZ72SzQb+/QK+nza8X/wUWvmAuvCUi3mnPCpj9a/N6z99Cp1utrcfPbfei5l9QmLGERmZ8gM0GvZ4yQw2Yi27Nfco8Hy8i3uXoTnOrAke52ch/zbNWV+T3XNOyLd6TyUlhxgIJGpnxHVf8yjztBPD9m2YfjaPS2ppEpErxMXPmUvFRSLkEbnjTPF0sblNe6WBX1vE9mSzeLdtJ/+IWqBqZ0ZYGPqHLfeYPSFsArP3InClRWW51VSJSXgzTR0PWNohKgdunQEi41VX5vd1ZhVQ4DCJCAkmOCbW6HEBhxhIJx1cB1siMD7n4drj5fQgIgo2fwLRR5i68ImKNY/vgvwNg5xIIDjenYEclWV1VvZB+fBuD1olRXjGTCRRmLKEGYB/V/gZzqmegHbZ+AR/fBmVFVlclUv/sWQHvXAOHfjLXkhk5HZI7WV1VveHsl0nzklNMoDBjCfXM+LC0AeYPzuAI2LHY3M+pJM/qqkTqj1XvwcTBUHgEkjrC/Uuh+ZVWV1WvpHvZTCZQmLGEc2Qmu7CM8krNjvE5La82N6i0x8DeFcd/sGZZXZWIf6sog9mPwxdPgKMC2g+De+ZDg6ZWV1bveNMGk04KMxaIDQ8hMMA8z5hdUGZxNXJemnaDUbPMIe5D6+D9QZB7wOqqRPxTQSZ8OARWvw/YoM/z5n5Lavb1uIpKBzuzjvfM6DRT/RYQYCMuMgTQjCaflnIx3D0XopuYsyn+OxCyd1hdlYh/ObAG3u4Fe78zR0NHTIOeT5hrQYnH7TlaRHmlQXhIII0bhFldjovCjEWcM5oy89Q349Pi0+CeudCoNeTuNQNNxgarqxLxDz9NNUc98w5AXBqMWQRp/a2uql5LP2z2y7ROiCQgwHsCpcKMRVxNwAUKMz6vQao5QpPUEQoz4f3rYO9Kq6sS8V2VFTDvWfj0fqgogbSBcN9CiGtjdWX1nrNfxptOMcE5hJl77rmH/Px8d9ZSr7gWztPIjH+IjIdRc6BpdyjNhQ9vgO0Lra5KxPcUHYVJN8N3b5hf9/wt3PYxhMZYW5cAVWvMeFPzL5xDmJk4cSLFxcXurKVeqRqZUc+M3whrAHfMhNZ9oaIYJt8Gmz61uioR35G5Gd7pXbUQ3vAPoM+ftD2BF3GGmTQvmpYN5xBmDO0YXKc0MuOnQsLNT5Hth5mb3n1yD6yeaHVVIt5v8xx4ty/k7DKnW987H9rfaHVVcoJKh8GOIz4+MgN4zbLF/iDeuaWBemb8T1AI3PQudB4NhsPcnPLbf1pdlYh3cjhgyTiYOhLKCqB5Txiz1OxBE6+y92gRZRUOQoMDaNzQe2YyAQSdy4PT0tLOGmiOHj1aq4LqC43M+LmAQLj+NQhtAN++BgueM3f37fOcppSKOJXmw6cPwpY55tfdHoL+f4HAYGvrklNyzmRqFR/pWivNW5xTmHnhhReIiVETVl04cTaTYRga9fJHNhv0e8HspVk4Fr4ZDyW5cO3f1QMgkr0DpoyEI5shMMQM/5eMtLoqOYOqfhnvOsUE5xhmbrvtNhISEtxVS73iHJkpq3CQV1xBTLg+ifitK39jjtDM+Q38+J4ZaG58U58+pf7avgg+udv8vxCZBLdNgiaXWV2VnMWJa8x4mxp/PNTIQd0KDQ4kOtTMkprRVA9cdjfc/B4EBMHGT8xPpNpxW+obw4AV/zKnXpfkQpMu5kaRCjI+oWpatg+HGc1mqnvqm6lnOtwEt0+BoDBIn3d8x+1cq6sS8YzyYvj0AZj/R7Mx/pI7YPQXEJ1sdWVSA5UOg+1efJqpxmHG4XDoFFMdS9CMpvqnTT+4cybYo7XjttQfufvNrT7WTwVbIAz6Gwx5A4LsVlcmNXQgp5jSCgchQQGkxnrfBp/qQrSQRmbqqWY9YPQcCI+DQz+ZP+Rz91tdlYh77PnO3Cjy0Dpzl/m7Podu92tWn4/Z5sUzmUBhxlLan6keS+4E98wzd9zOTjcDTdZ2q6sSqVs//vf46OMRSOwIY5ZAi55WVyXnwZv7ZUBhxlIJ0c6RGTUA10txreHeedCoDeTug/cHwqH1VlclUnsVZebsvTm/MVfCbn+j+V5v2MzqyuQ8pWeaIzPeto2Bk8KMhVynmfI1MlNvxTSBu7+CpIvMT68fXGcOy4v4qoJM+HCIOSqDzVwo8ub3ISTC6sqkFpzNv629bBsDJ4UZC7kagBVm6rfIeLOHpmkPKM2Dj26E9AVWVyVy7g6uNftj9n5nNrmPmAo9n1R/jI9zOAzSDx8/zaSRGfkljcyIS2gM3DED2vQ3d9z++DbYOMPqqkRqbv00s/cr74B56nTMYkgbYHVVUgcOHCumuLySkMAAmnnhTCZQmLGUswE4t7ic0opKi6sRy4WEw62TzPVoHBXwyb2w+gOrqxI5M0eluXbMzDFQUQJtBsCYRRDXxurKpI44TzG1jI8gKNA7Y4N3VlVPxIQFE3L8jaFTTQKYO24PewcuuwcwYPav4ZvXrK5K5NQKs83VfFf8y/y655Nw+8fmSKP4jW1evI2Bk8KMhWw2m+tUk8KMuAQEwnXj4conzK8XPm9uVKlVuMWb7FgCE3rAjsUQHA7DPzCbfQMCra5M6ljVtGzvbP4FhRnLxalvRk7FZoO+z0O/P5tff/OP49NcdTpSLFZRZp5W+ugGKMiAuDS4d4E5/Vr8kivMeGnzL5zjrtlS9xI0MiNncsWvzSH72Y/D6veP77j9lnk6SsTTjmyDGfdCxvH1kC67B/q/aPZ7iV8yDIPth717jRlQmLGcZjTJWXUebQaaGWNg00wozYdbPtQvEPEcwzCb0ec+bc62C4uFoW9A2+usrkzc7GBuCYVllQQF2GjWyHvXCtJpJotpZEZqpP2NVTtub1+gHbfFc4qOwtQ7YM7jZpBp2QseWqEgU0+kHx+VaREXQbCXzmQChRnLVTUAa0sDOYs2feGuz8AeY+64/cH1UHDE6qrEn+1cajb5bpkDAcHQ/69wx6cQnWx1ZeIh232gXwYUZiynVYDlnDS93FwtOCLe7Ft4fyBkbrG6KvE3FWUw/0/w4Q2Qf8hs8h2zCHo8BgH6tVGfuFb+9eKZTKAwYzn1zMg5S74I7p4LMamQvR3+0w0m3QI7l2n6ttRe1nZ4rx+seB0woPPdcP8yc6d3qXe2Hd9gUiMzZzBu3Di6dOlCVFQUCQkJ3HDDDWzdurXaYwzDYOzYsaSkpBAWFkavXr3YtGmTRRXXvRN7ZhwO/SKSGoprDffMgwuuA2yQPs/c3O/NK2HdZKhQOJZzZBiweiK81RMOrYOwhnDr/2Dwa2o2r6fMmUwamTmrZcuW8cgjj7By5UoWLFhARUUF/fv3p7Cw0PWYV155hfHjx/PGG2+watUqkpKS6NevH/n5+RZWXnfiIs0wU+EwOFZcbnE14lNiGsPtk+Gx1dBljLlw2eGN8NlD8FpHWP43c4VWkbMpOgrT7oLZv4LyImhxldnk226w1ZWJhQ7nlZJfWkFggI0Wcd47kwnAZhjeMy595MgREhISWLZsGVdddRWGYZCSksLjjz/OH/7wBwBKS0tJTEzk//7v/3jggQfO+px5eXnExMSQm5tLdHS0u/8K5+WSP88np6icuY/3pG2Sd9YoPqDoqDl99oe3zT4HMGc/dboNLn8Y4tMsLU+81K7lMPMByD9oNvn2+RN0V2+MwNfpR7jzvR9oFR/Boid7efz1z+X3t1e9W3NzzammsbGxAOzatYuMjAz69+/veozdbufqq69mxYoVp3yO0tJS8vLyql28nZqApU6Ex0LPJ+DX6839nZI7mVNpV78P/+6ivhqprqLM3CZj4hAzyDRqDfctMBdqVJARYJuPnGICLwozhmHwxBNPcOWVV9KhQwcAMjIyAEhMTKz22MTERNd9vzRu3DhiYmJcl9TUVPcWXgdcTcB5CjNSB4JC4KJbzKbN0V/ABdeivhqpJnsH/Le/uU0GBlw6Ch5YDimXWF2ZeJHtPtL8C14UZh599FHWr1/Pxx9/fNJ9Nput2teGYZx0m9PTTz9Nbm6u67Jv3z631FuXXE3ABfrlInXIZoPmV5q7GKuvRsAclVvzEbzZEw6uhdAGcMtHMOR1CPHungjxPNe07ESNzNTIY489xqxZs1iyZAlNmjRx3Z6UlARw0ihMZmbmSaM1Tna7nejo6GoXb6eRGXG7Rq3gur/DbzZBn+chKhkKDsPiv8I/2pt7Px3ZZnWV4k7FOTB9FMx6FMoLoXlPs8n3wiFWVyZeyDCME3bL1sjMGRmGwaOPPsrMmTNZvHgxLVq0qHZ/ixYtSEpKYsGCBa7bysrKWLZsGT169PB0uW4Tr5EZ8RT11dRPu7+BCVfAz59DQBD0HQt3fW7OiBM5hSP5peQWlxNgw+tnMoHFG00+8sgjTJ48mc8//5yoqCjXCExMTAxhYWHYbDYef/xxXnrpJdq0aUObNm146aWXCA8PZ8SIEVaWXqeqRma0pYF4iLOvpuNw2PMtfPdv2PqV2VeTPg8SO0D3R6DDTRBkt7paOV+V5bDkparemNhWcNO70PhSqysTL+cclWnWKILQ4ECLqzk7S8PMhAkTAOjVq1e1299//31Gjx4NwO9//3uKi4t5+OGHycnJoVu3bsyfP5+oKO8/h1dTrtlMGpkRT3P21TS/0mwKXTkB1k2q6qtZOBa6joHO90BEI6urlXORvQNm3AcH15hfX3IHDPw/sHv/KQOxnnODSV84xQQWh5maLHFjs9kYO3YsY8eOdX9BFnGdZlLPjFjJ2VdzzTPV16tZ/FdY/qrWq/EVhmEG0i9/b/bGhMbA4Neh/Q1WVyY+ZJuPbDDp5BUNwPVdQrQZZvJLKyguq7S4Gqn31Ffju4pzYPpo+PwRM8g0u9Js8lWQkXPkK9sYOCnMeIEoexD2IPOfQgvnidfQejW+Zfe3MOFK+Pkzs8m3z3MwahbENDnrt4qcyDAM1waTrX3kNJPCjBew2Wyu0ZnMfDUBi5c523o14y+E+X8yezTE8yrLYdFfYOL1kLcfYlvCvfOh55MQ4P2Nm+J9sgvLOFZUjs2mMCPnSFsaiE84ab2aFCjKghWvw78uNZfG3zjTXCpf3Mcw4Ogu2PAJ/HcgfP13MBxw8R3wwNfQuLPVFYoP23a8+bdpbLhPzGQCixuApUp8pHNkRmFGfICzr6bHr2DbXLNhePtC2LXMvETEw8UjofMoc6RAaqcw25yVdGA17P/R/LP4aNX9oTEw+J/Q/kbrahS/sd2HFstzUpjxEs7TTBqZEZ8SGATtrjcvOXtgzYew9iNzdeFvXzMvLa+BzqOh7XUQGGxxwT6grAgy1puBxXnJ2X3y4wJDIKkjNOlqrgnUwPv3oRPf4NzGoLWPNP+CwozXqBqZUc+M+KiGzaDPn6DXU+ZozY/vw47FsHOJeYlIMNc66TwKGja3ulrv4KiEI1uPh5bjIy6HfwbjFLMaG7UxTx81ucxc9C6xgxY0FLdIP978m+Yj07JBYcZraGRG/EZgMLQbbF5ydpujNWs+gsJM+Ga8uRptq97maM0Fg+rPaI1hQO7+E0Zc1pibPZYXnvzYyERofDy0NO5s7mYd1sDjJUv9lO5j07JBYcZruLY0UJgRf9KwuTlFuNfTsPVLc7Rm5xLYsci8RCZVjdY0aGp1tXWrOMcMKwdWw/7jAaYw8+THhUSaYaVx56pLdIo5i0zEw7ILSskuNBv4WyV4/55MTgozXkKzmcSvBQbDhUPNy9FdsGYirP0fFGSYM3G+fhVa9zVHa9IGmr04vqS8xJyqfmKfS/b2kx8XEASJ7U8ILpdBXBtNoRav4Wz+TY0NIzzEd/4f+k6lfs45MpNVUEqlwyAwQJ/KxE/FtjB3be71DGz9whyt2bUMti8wL1HJcMmdcOld3tfUWnwMcnbB0Z3HL7sg82fI2AiO8pMfH9uy+ohLUkcIDvN42SI1lZ7pe6eYQGHGazSKCMFmA4cBRwvLXOFGxG8FhZhTidvfaC64t2YirJ1k7ge1/BVY/jdo0w863w1t+ntmtMYwoOjoCWHlhEvOLijKPv33hscdb87tbPa6pFxqTmEX8SG+tsGkk8KMlwgKDKBRRAhZBWVk5pcozEj90qgV9PszXPMsbJljrluzazmkzzcv0Y2Pj9bcWfvl+Q3DnDp+UmDZZV5Kc8/8/ZGJ5ohLbEtzlKlRazO4NGiqPhfxec6RGV9Z+ddJYcaLxEeFklVQpr4Zqb+C7NDhJvOStR3WfGDu/5R3AJa9bI7YtOl/fLSm3+l7TRwO83tOGl3Zbf5ZXnTmOqKbmEHlxNAS2xIatgC7b/2QFzkXzjCTlqjTTHKe4qPsbD6kGU0iAMS1hv5/hd5/gs2zzdGa3V+ba9hsm2sGjkvvMk/pOEOKc4QlZzdUnuH/kS3AHElxBhRXaGlprpejvhaph44VVX2YbqWRGTlfCVFaa0bkJEF26HizeclKN0PNusnmpopLXzr99wUEm8HkxKDivMSkmj07IuLiHJVp3CCMSLtvxQPfqtbPKcyInEVcGxjwYtVozdqPoCCz+qkgV2BpoinPIuegahsD3xqVAYUZr1K1cJ62NBA5o+BQuGi4eRGROuGL2xg4BVhdgFTRwnkiImIVX9zGwElhxotoSwMREbGKc2SmtUZmpDbUMyMiIlbILS7ncJ75u8cXe2YUZryIc2SmqKySgtIKi6sREZH6wrknU3JMKNGhvreTvcKMF4mwBxERYs6+0OiMiIh4inMbA18clQGFGa/j6pvJ04wmERHxDF/dYNJJYcbLuGY0FWhkRkREPKNqGwONzEgdqBqZUZgRERHP2O7cLVthRuqCM8xoZEZERDwhv6Scg7lma0PreJ1mkjqgkRkREfEk50ymhCg7MeG+N5MJFGa8ToK2NBAREQ+q6pfxzVEZUJjxOgnR2tJAREQ8xzky46vTskFhxuvER2oVYBER8ZxtPt78CwozXich2gwzR4vKKK90WFyNiIj4O1/eYNJJYcbLxIaHEBhgwzAgu6DM6nJERMSPFZZWcOBYMQBtdJpJ6kpAgI24yBBAp5pERMS9nP0ycZF2GkaEWFzN+VOY8ULxmtEkIiIeULWNge+OyoDCjFdybWmgkRkREXGj9Ezfb/4FhRmv5JzRlKkwIyIibrTd2fzrw2vMgMKMV3LOaNLIjIiIuNM258iMTjNJXVPPjIiIuFtRWQX7c3x/JhMozHgl55YGGpkRERF32XmkEMOA2IgQGh1vb/BVCjNeqGpkRmFGRETcI91PTjGBwoxXcs5myswvxTAMi6sRERF/tM3V/KswI27gHJkpq3CQV1JhcTUiIuKP/GEbAyeFGS8UGhxIVGgQAEfUBCwiIm6w3U/WmAGLw8zy5csZPHgwKSkp2Gw2Pvvss2r3jx49GpvNVu1y+eWXW1OshyWob0ZERNykpLySvUeLAI3M1FphYSGdOnXijTfeOO1jBg4cyKFDh1yXL7/80oMVWideM5pERMRNdhwpwGFAg/Bg136AvizIyhcfNGgQgwYNOuNj7HY7SUlJNX7O0tJSSkurAkBeXt5512clbWkgIiLusv2EPZlsNpvF1dSe1/fMLF26lISEBNLS0hgzZgyZmZlnfPy4ceOIiYlxXVJTUz1Uad3S9GwREXGXdD/ZxsDJq8PMoEGDmDRpEosXL+bVV19l1apV9O7du9rIyy89/fTT5Obmui779u3zYMV1RwvniYiIu/jTGjNg8Wmms7n11ltd1zt06MBll11Gs2bN+OKLLxg2bNgpv8dut2O3+/ZKhqAtDURExH38aVo2ePnIzC8lJyfTrFkz0tPTrS7F7dQzIyIi7lBaUcnu7ELAP6Zlg4+FmezsbPbt20dycrLVpbidemZERMQddmUV4jAgOjTI1dLg6yw9zVRQUMD27dtdX+/atYt169YRGxtLbGwsY8eO5aabbiI5OZndu3fzzDPPEBcXx4033mhh1Z7hfIMdKyqntKISe1CgxRWJiIg/2HZC868/zGQCi8PMjz/+yDXXXOP6+oknngBg1KhRTJgwgQ0bNvDhhx9y7NgxkpOTueaaa5g6dSpRUf5xju9MGoQHExxoo7zSIKugjMYNwqwuSURE/MD2w/7V/AsWh5levXqdcSPFefPmebAa72Kz2YiPtHMwt4TMvBKFGRERqRPpx9eYae1HYcanembqG60CLCIidc0ZZtL8ZI0ZUJjxavHHZzSpCVhEROpCWYWD3Vn+NZMJFGa8WkK0RmZERKTu7M4upMJhEGkPIik61Opy6ozCjBeLj9T0bBERqTvOxfJa+8meTE4KM15MIzMiIlKXnNsYpPnRKSZQmPFqzpGZI9rSQERE6oC/bWPgpDDjxRKitaWBiIjUHefITGuNzIinuKZmF5SecT0eERGRsymvdLDr+Ewmf5qWDQozXi0uMgSA8kqDY0XlFlcjIiK+bE92EeWVBhEhgaTE+M9MJlCY8Wr2oEAahAcDmtEkIiK1k358GwN/m8kECjNeL0GrAIuISB2o2sbAv04xgcKM13P2zWRqRpOIiNRC1TYG/tX8CwozXi9BWxqIiEgdcJ5m8qdtDJwUZrycNpsUEZHaqqh0sPPI8T2ZdJpJPC0hSlsaiIhI7ew9WkRZpYOw4EAaNwizupw6pzDj5apGZtQzIyIi56eq+TeSgAD/mskECjNeL14jMyIiUkuufpkE/+uXAYUZr+dsAFbPjIiInC/XyIwfNv+CwozXc47M5JdUUFJeaXE1IiLii/x1g0knhRkvFx0ahD3I/GfS6IyIiJyrSofBjiP+u8YMKMx4PZvNpoXzRETkvO07WkRphQN7UABNGoZbXY5bKMz4AG1pICIi58vZL9MqPpJAP5zJBAozPkEzmkRE5HylZ/rvyr9OCjM+QDOaRETkfG0/7OyX8c/mX1CY8QmukZk8hRkRETk3246PzLT20zVmQGHGJySoAVhERM6Dw2GwPdM5LVthRizk2tKgQCMzIiJScweOFVNS7iAkKICmsf45kwkUZnyCs2dGp5lERORcOJt/W8ZFEBTov7/y/fdv5kcSos2RmezCMiodhsXViIiIr9jmXPnXj5t/QWHGJzSKCMFmM1dxPFpYZnU5IiLiI6q2MfDffhlQmPEJQYEBNIoIATQ9W0REam778dNM/rqNgZPCjI+Ii9SMJhERqTnDMKp2y/bTDSadFGZ8REK0Fs4TEZGaO3CsmKKySoIDbTRr5L8zmUBhxmfER2pLAxERqTnnqEyLuAiC/XgmEyjM+AznjCaNzIiISE1sryczmUBhxmc4R2YUZkREpCa2HT6+waSfz2QChRmfoZEZERE5F+mubQw0MiNeIl6zmUREpIYM44Q9mfx8WjYozPgMzWYSEZGaysgroaC0gqAAG80bRVhdjtspzPgI52aThWWVFJZWWFyNiIh4M+c2Bs3jIggJ8v9f9f7/N/QTkfYgwkMCAU3PFhGRM0uvR82/oDDjUxKi1AQsIiJnV9Uv4//Nv6Aw41Ocp5rUBCwiImdSNZNJIzNut3z5cgYPHkxKSgo2m43PPvus2v2GYTB27FhSUlIICwujV69ebNq0yZpivUBClJqARUTkzAzDqFpjph7MZAKLw0xhYSGdOnXijTfeOOX9r7zyCuPHj+eNN95g1apVJCUl0a9fP/Lz8z1cqXeoGplRmBERkVPLzC8lv6SCwAAbLeL8fyYTQJCVLz5o0CAGDRp0yvsMw+C1117j2WefZdiwYQBMnDiRxMREJk+ezAMPPHDK7ystLaW0tOqXfV5eXt0XbpF49cyIiMhZpB+fydSsUTj2oECLq/EMr+2Z2bVrFxkZGfTv3991m91u5+qrr2bFihWn/b5x48YRExPjuqSmpnqiXI/QyIyIiJxNemb9mskEXhxmMjIyAEhMTKx2e2Jiouu+U3n66afJzc11Xfbt2+fWOj1Js5lERORsnGvM1IdtDJwsPc1UEzabrdrXhmGcdNuJ7HY7drvd3WVZouo0k2YziYjIqW3PrF/Nv+DFIzNJSUkAJ43CZGZmnjRaU184ZzNlF5ZRUemwuBoREfE25kym+jcy47VhpkWLFiQlJbFgwQLXbWVlZSxbtowePXpYWJl1YiNCCLCBYZiBRkRE5ERZBWXkFpcTYIOW8fVjJhNYfJqpoKCA7du3u77etWsX69atIzY2lqZNm/L444/z0ksv0aZNG9q0acNLL71EeHg4I0aMsLBq6wQG2IiLtJOZX8qR/FISj28+KSIiAlXbGDSNDSc0uH7MZAKLw8yPP/7INddc4/r6iSeeAGDUqFF88MEH/P73v6e4uJiHH36YnJwcunXrxvz584mKqj9DZ78UH2WGGXMV4BiryxERES/iXPm3dT06xQQWh5levXphGMZp77fZbIwdO5axY8d6rigvlxBlZxOQmacZTSIiUp1zWnZaPWr+BS/umZFT08J5IiJyOq7mX4UZ8WbOGU1aOE9ERH7JtVt2PTvNpDDjYxKiNTIjIiInyy4o5WhhGTYbtIrXyIx4sfhI55YGWjhPRESqOJt/UxuGExZSf2YygcKMz3GNzBRoZEZERKo4p2XXpz2ZnBRmfEx85PGembzSM84EExGR+sU1LbueNf+CwozPcc5mKq1wkF9aYXE1IiLiLdKPz2RKq2fNv6Aw43PCQgKJspvLA2mtGRERcXKOzNS3admgMOOT4jWjSURETpBTWEbW8V7K+jaTCRRmfJJmNImIyImcozKNG4QRYbd0cX9LKMz4oITjG0xqZEZERKD+bmPgpDDjg5wjMwozIiICVc2/bRLrX/MvKMz4JOdaM9rSQEREoGpkpnU9XGMGFGZ8kkZmRETkRK6RGYUZ8RVVIzNqABYRqe9yi8pdI/U6zSQ+w7lztkZmRETEeYopJSaUyHo4kwkUZnyScxXgnKJyyiocFlcjIiJWqtrGoH6OyoDCjE9qEBZMcKANwLVIkoiI1E/1vV8GFGZ8UkCAjbhIzWgSERGtMQMKMz4rIUozmkREpGpkpnU93GDSSWHGRzn7ZjSjSUSk/sorKScjz/w9UF/XmAGFGZ8VrxlNIiL13vbjzb+J0XZiwoItrsY6CjM+qmpkRmFGRKS+2n78FFNaPZ7JBFA/J6T7AWfPzL6jRezPKbK4GhERscK6/ceA+n2KCRRmfJZzZObr9Cyu/L8lFlcjIiJWalOPm39BYcZndW0eS8v4CA7kFFtdioiIWCgh2s41beOtLsNSCjM+qmFECIuf7GV1GSIiIpZTA7CIiIj4NIUZERER8WkKMyIiIuLTFGZERETEpynMiIiIiE9TmBERERGfpjAjIiIiPk1hRkRERHyawoyIiIj4NIUZERER8WkKMyIiIuLTFGZERETEpynMiIiIiE9TmBERERGfFmR1Ae5mGAYAeXl5FlciIiIiNeX8ve38PX4mfh9m8vPzAUhNTbW4EhERETlX+fn5xMTEnPExNqMmkceHORwODh48SFRUFDabrU6fOy8vj9TUVPbt20d0dHSdPnd9oONXezqGtaPjV3s6hrWj43d6hmGQn59PSkoKAQFn7orx+5GZgIAAmjRp4tbXiI6O1puwFnT8ak/HsHZ0/GpPx7B2dPxO7WwjMk5qABYRERGfpjAjIiIiPk1hphbsdjvPP/88drvd6lJ8ko5f7ekY1o6OX+3pGNaOjl/d8PsGYBEREfFvGpkRERERn6YwIyIiIj5NYUZERER8msKMiIiI+DSFmfP0n//8hxYtWhAaGkrnzp35+uuvrS7JK40dOxabzVbtkpSU5LrfMAzGjh1LSkoKYWFh9OrVi02bNllYsfWWL1/O4MGDSUlJwWaz8dlnn1W7vybHrLS0lMcee4y4uDgiIiIYMmQI+/fv9+DfwjpnO36jR48+6T15+eWXV3tMfT5+48aNo0uXLkRFRZGQkMANN9zA1q1bqz1G78Ezq8kx1PuwbinMnIepU6fy+OOP8+yzz7J27Vp69uzJoEGD2Lt3r9WleaX27dtz6NAh12XDhg2u+1555RXGjx/PG2+8wapVq0hKSqJfv36uPbXqo8LCQjp16sQbb7xxyvtrcswef/xxPv30U6ZMmcI333xDQUEB119/PZWVlZ76a1jmbMcPYODAgdXek19++WW1++vz8Vu2bBmPPPIIK1euZMGCBVRUVNC/f38KCwtdj9F78MxqcgxB78M6Zcg569q1q/Hggw9Wu61t27bGU089ZVFF3uv55583OnXqdMr7HA6HkZSUZLz88suu20pKSoyYmBjjzTff9FCF3g0wPv30U9fXNTlmx44dM4KDg40pU6a4HnPgwAEjICDAmDt3rsdq9wa/PH6GYRijRo0yhg4detrv0fGrLjMz0wCMZcuWGYah9+D5+OUxNAy9D+uaRmbOUVlZGatXr6Z///7Vbu/fvz8rVqywqCrvlp6eTkpKCi1atOC2225j586dAOzatYuMjIxqx9Jut3P11VfrWJ5GTY7Z6tWrKS8vr/aYlJQUOnTooON63NKlS0lISCAtLY0xY8aQmZnpuk/Hr7rc3FwAYmNjAb0Hz8cvj6GT3od1R2HmHGVlZVFZWUliYmK12xMTE8nIyLCoKu/VrVs3PvzwQ+bNm8c777xDRkYGPXr0IDs723W8dCxrribHLCMjg5CQEBo2bHjax9RngwYNYtKkSSxevJhXX32VVatW0bt3b0pLSwEdvxMZhsETTzzBlVdeSYcOHQC9B8/VqY4h6H1Y1/x+12x3sdls1b42DOOk28T8D+vUsWNHunfvTqtWrZg4caKr2U3H8tydzzHTcTXdeuutrusdOnTgsssuo1mzZnzxxRcMGzbstN9XH4/fo48+yvr16/nmm29Ouk/vwZo53THU+7BuaWTmHMXFxREYGHhSMs7MzDzpk4qcLCIigo4dO5Kenu6a1aRjWXM1OWZJSUmUlZWRk5Nz2sdIleTkZJo1a0Z6ejqg4+f02GOPMWvWLJYsWUKTJk1ct+s9WHOnO4anovdh7SjMnKOQkBA6d+7MggULqt2+YMECevToYVFVvqO0tJTNmzeTnJxMixYtSEpKqnYsy8rKWLZsmY7ladTkmHXu3Jng4OBqjzl06BAbN27UcT2F7Oxs9u3bR3JyMqDjZxgGjz76KDNnzmTx4sW0aNGi2v16D57d2Y7hqeh9WEvW9B37tilTphjBwcHGe++9Z/z888/G448/bkRERBi7d++2ujSv8+STTxpLly41du7caaxcudK4/vrrjaioKNexevnll42YmBhj5syZxoYNG4zbb7/dSE5ONvLy8iyu3Dr5+fnG2rVrjbVr1xqAMX78eGPt2rXGnj17DMOo2TF78MEHjSZNmhgLFy401qxZY/Tu3dvo1KmTUVFRYdVfy2POdPzy8/ONJ5980lixYoWxa9cuY8mSJUb37t2Nxo0b6/gd99BDDxkxMTHG0qVLjUOHDrkuRUVFrsfoPXhmZzuGeh/WPYWZ8/Tvf//baNasmRESEmJceuml1abcSZVbb73VSE5ONoKDg42UlBRj2LBhxqZNm1z3OxwO4/nnnzeSkpIMu91uXHXVVcaGDRssrNh6S5YsMYCTLqNGjTIMo2bHrLi42Hj00UeN2NhYIywszLj++uuNvXv3WvC38bwzHb+ioiKjf//+Rnx8vBEcHGw0bdrUGDVq1EnHpj4fv1MdO8B4//33XY/Re/DMznYM9T6sezbDMAzPjQOJiIiI1C31zIiIiIhPU5gRERERn6YwIyIiIj5NYUZERER8msKMiIiI+DSFGREREfFpCjMiIiLi0xRmRERExKcpzIiIiIhPU5gRERERn6YwIyIiIj5NYUZEfMqRI0dISkripZdect32/fffExISwvz58y2sTESsoo0mRcTnfPnll9xwww2sWLGCtm3bcskll3Ddddfx2muvWV2aiFhAYUZEfNIjjzzCwoUL6dKlCz/99BOrVq0iNDTU6rJExAIKMyLik4qLi+nQoQP79u3jxx9/5KKLLrK6JBGxiHpmRMQn7dy5k4MHD+JwONizZ4/V5YiIhTQyIyI+p6ysjK5du3LxxRfTtm1bxo8fz4YNG0hMTLS6NBGxgMKMiPic3/3ud3zyySf89NNPREZGcs011xAVFcWcOXOsLk1ELKDTTCLiU5YuXcprr73GRx99RHR0NAEBAXz00Ud88803TJgwweryRMQCGpkRERERn6aRGREREfFpCjMiIiLi0xRmRERExKcpzIiIiIhPU5gRERERn6YwIyIiIj5NYUZERER8msKMiIiI+DSFGREREfFpCjMiIiLi0xRmRERExKf9P80y5ZjuhTTaAAAAAElFTkSuQmCC",
+ "image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -929,13 +1019,16 @@
}
],
"source": [
- "T_left = 38 \n",
- "T_right = 25 \n",
- "T_initial = 7 \n",
- "L = 300 \n",
- "nu = 4 \n",
- " \n",
- "dx = 20\n",
+ "# YOUR_CODE_HERE\n",
+ "\n",
+ "# SOLUTION\n",
+ "T_left = 38\n",
+ "T_right = 25\n",
+ "T_initial = 7\n",
+ "L = 0.3\n",
+ "nu = 4/1000/1000\n",
+ "\n",
+ "dx = 0.02\n",
"x = np.arange(0,L,dx)\n",
"n = len(x)\n",
"dt = 50\n",
@@ -971,7 +1064,7 @@
"id": "852b05c5",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 5</b>\n",
"\n",
@@ -987,7 +1080,7 @@
"id": "81fe7677",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 5.1:</b>\n",
"\n",
@@ -997,12 +1090,20 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "6df8a151",
+ "metadata": {},
+ "source": [
+ "Your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "1c67a2bf",
"metadata": {},
"source": [
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b> \n",
"\n",
@@ -1017,7 +1118,7 @@
"id": "ca16ee10",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 5.2:</b>\n",
"\n",
@@ -1028,13 +1129,21 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "4a25a0d0",
+ "metadata": {},
+ "source": [
+ "Your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "53ca7cc9",
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -1051,7 +1160,7 @@
"id": "139d33af",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 5.3:</b>\n",
"\n",
@@ -1061,13 +1170,21 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "73b82177",
+ "metadata": {},
+ "source": [
+ "Your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "7d201180",
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -1084,7 +1201,7 @@
"id": "25b64dff",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 5.4:</b> \n",
"\n",
@@ -1094,13 +1211,21 @@
"</div>"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "8c1db830",
+ "metadata": {},
+ "source": [
+ "Your answer here."
+ ]
+ },
{
"cell_type": "markdown",
"id": "ec130a96",
"metadata": {},
"source": [
"\n",
- "<div style=\"background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Solution</b>\n",
"\n",
@@ -1115,7 +1240,7 @@
"id": "36284ee9",
"metadata": {},
"source": [
- "<div style=\"background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
+ "<div style=\"background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px\">\n",
"<p>\n",
"<b>Task 5.5</b>\n",
"\n",
@@ -1127,13 +1252,13 @@
},
{
"cell_type": "code",
- "execution_count": 53,
+ "execution_count": 9,
"id": "4edddcaf",
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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ZPHkyCQkJbNy40fk57e3tbN26lcWLF1tV9uCqjkDlQbD7wtRlVlczPHGzwOYDzZXQUGp1NSIiIsNm2chMWFgYGRkZ/R4LCQkhOjra+fjq1atZu3YtaWlppKWlsXbtWoKDg7ntttusKPn0HKMyExdDYIS1tQyXXxDETIOK/eboTHiS1RWJiIgMi2VhZijuv/9+WlpauPvuu6mpqWHRokVs2LCBsDA3OybgoONgSQ9ZxXSqhEwzzJRmed40mYiIjHk2wzAMq4twpfr6eiIiIqirqyM8PHzkX6C1Dh6eDN2d8J3dED1l5F/D1bb9Gjb8B8y8Ab74vNXViIiIDOv3t+X7zHi8I5vMIBOd5plBBnRGk4iIeDSFmfOV37Mk21N2/R2M41iDmgJzpElERMSDKMycj+4uOLTBvO+p/TIAwVEQnmzeP+nGB3mKiIgMQmHmfJzYAS3V5gqmlIusrub8OHcC1gnaIiLiWRRmzodj19+py8HHrReGnZ12AhYREQ+lMHM+HP0ynjzF5OBsAtbIjIiIeBaFmXNUcmIH2xoLqPfEXX8H42gCLt8Pne3W1iIiIjIMHj43Yp1fv/Mr3kyIw2bAlI1fZ07sHPMWN4fU8NQzHobplsZNgIAIaKuDyvzekRoRERE3pzBzjuLDg0io66bMz87h2sMcrj3My4deBiDcP7xfuMmMySTEL8Tiis/CZjMDzPEPzSZghRkREfEQCjPn6N5VT/Knte/S2lrBPdcF0R1wjH3l+8ityqW+vZ4Pij/gg+IPALDb7KSNS3OGmzmxc5gQNsH9Rm8SZ5thRk3AIiLiQRRmzpGvj50b5ibzh486OHQskcdvWwVAR3cHB6sPsrdiL/vK97GvYh8lTSXk1+STX5PPSwdfAiAyILJfuEmPTifYL9jKb0lNwCIi4pF0NtN5yCmu4/pff4i/r50dD15FRJDfoM8rby5nX8U+Z7jJrcqlo7uj33N8bD5Mi5zWL+AkhyaP7uhNWQ789hIICIcfFppTTyIiIhYYzu9vhZnzYBgGVz/6PgdPNvLzVZnccuGEIX1ee1c7+6v3O8PN3oq9lDeXD3hedGD0gNGbQN/AEf0e+unqgLVJ0NUO/7YPIie57rVERETOYDi/vzXNdB5sNhufnZfMQ28fYP3u4iGHGX8ff2eDsENZU5lzaiqrIou86jyqWqvYVLSJTUWbAPC1+TI9ajpz4+Y6Pz8xJHHkRm98/CBuJpTuM5uAFWZERMQDaGTmPJXWtbD455swDPjg/qWkRI1M30tbVxt5VXn9Rm8qWyoHPC82KNYZbObGzWVm9EwCfALO/YVfuwf2/Akuvx+ufPA8vgMREZFzp5GZUZQYEcTiKdF8dLiKV/cU851laSPydQN8ApgXN495cfMAc0qrpKmkX7jJr86noqWCdwvf5d3CdwHwtfsyK2oWs2NnMyduDnNj55IQkjD0F3ZsnqcmYBER8RAamRkBf991gu/9bR+pMSFs+u4Vo9a029LZQm5lrtlc3HOrbq0e8Ly44Lj+ozdRM/H38R/8ix7/GJ65BsLHw315Lv4OREREBqcG4D5GI8w0tnVywc/epaWji1fuXsy8CZEueZ2zMQyDEw0nzN6bCrP35mDNQbqMrn7P87P7MSt6Vu/GfrFziA+JNz/YWg8/TzHvf/8ohESP8nchIiKiaaZRFxrgy9Xp8by6t4RX9hRbFmZsNhsp4SmkhKewcspKAJo7msmtyu23NLymrcY5kuOQEJLQJ9ykMrOiAL+yLJiy1JLvRUREZKg0MjNC3j9YwVf+8Cnjgv349EdX4e/rnmd4GoZBUUORM8zsLd/LodpDdBvd/Z7n320wKziBuVOudYac2OBYi6oWEZGxRtNMfYxWmOnqNrh43XuUN7Tx1JcXsCJ9GE23FmvqaCKnMqe396ZkO3XdA0/OTgpJ6rfvzfSo6fjZB98oUERE5HwozPQxWmEG4L/fyuPpDwq4Jj2B3355gUtfy5WM/Hc4/rfb2Bc7iX2zb2RvxV4O1xzGoP+PSoBPAOnR6f0O1YwJirGoahER8SbqmbHIqvnJPP1BAZsOlFPX3EFEsGeOWtgSZzOps5NJZUe58V++B/7BNLY3kl2Z7Ry9yarIor69nt3lu9ldvtv5ueNDxzM7Znbv6E3kdPx8PPM6iIiIZ1CYGUEzE8OZkRDGgbIG3swu4fZFE60u6dyEJUBILDRVQPl+SF5AqH8oFyddzMVJFwPQbXRzrP6Ys6k4qzKLwzWHKW4sprixmH8e+yfQO3ozO3a2em9ERMQlFGZG2Kr541n7D/N4A48NMzabeYL2kU3m5nnJA6fM7DY7kyMmMzliMp9N+yzAkEdvHL03joAzI2qGRm9EROScKcyMsBvnjufn/zzAruM1HK9qYmJ0iNUlnZu+YWaITh29MQzDHL3ps6nf4ZrDlDSVUNJU0m/0Zlb0rH7TU3HBcS75tkRExPsozIyw+PBALpkawweHKnllTzGrr5pmdUnnxnmsQfY5fwmbzUZqRCqpEancNPUmwFw5lV2Z3W96qq6tjj3le9hTvgd6Nh1ODEnsN3ozM2qmRm9ERGRQCjMucPP8ZGeY+bdlaaN2vMGIcoSZk7nQ3QV2nxH5siF+IVyUeBEXJV4EmKM3x+uP9x+9qT1MaVMppU2lvH3sbQD87f7OXYsdAce5a7GIyFiV9RLkvgo3/B+EjN3VpAozLrAiPZ5gfx+OVzWzu7CGBROjrC5p+KKngF8wdDRD1RGIdc0Ik81mY1LEJCZFTOLGqTcCA/e9yarIoratlr0Ve9lbsdf5uY5dix3TU2c8c0pExNt0d8OG/4TGMvh4Gly1xuqKLKMw4wLB/r5ck5HA+t3FrN9d7Jlhxu4D8elwYofZN+OiMDOYEL8QFiUuYlHiIsAcvSlsKOx3JMOh2kOUNZVR1lTGO8feAcwzp2ZGzey3ciohJMEzR8ZERM6mbJ8ZZAB2PQdX/AD8gqytySIKMy5y8/xk1u8u5s2sUn68chYBviMzTTOqEjJ7w0zm5ywrw2azMTF8IhPDJ3LDlBsA88ypnMocsiqz+p05lVWZRVZlFn/a/ycAYoNinVNTs2Nnkx6dTqBvoGXfi4jIiMl/u/d+SzVk/x3mf9m6eiykMOMiF02OJiE8kLL6VjYfKOeajESrSxq+EWgCdpVgv2AuTLyQCxMvBHpPDN9XaY7eZFVmkV+dT0VLBe8Wvsu7he8C4GvzZVrUtH69N8mhyRq9ERHPc9BcEUrCbPOPzk+ehHlfMrfXGGMUZlzEx27jxnlJPLn1KC/vLvbsMFOaBYbh1v9A+p4Yfv3k6wFo6WwhryqPrIosZ/9NZUsleVV55FXl8ZcDfwEgKjDK2XczO2Y2GTEZBPsFW/ntiIicWX0JlO4DbHDz7+HJy+FkNhR+DBMXW13dqFOYcaFV85J5cutRtuSXU9PUTmSIhzWnxs8Cmx2aK6GhDMI9K5AF+QaxIH4BC+LNTf8Mw6C0qdQZbrIqssirzqO6tZotJ7aw5cQWwNwQMG1cmnPkZnbsbCaFT9LojYi4j4NmryDjF5g9jXO+CLuehU9+qzAjI2t6QhjpSeHkltTzZlYJX754ktUlDY9fEMRMg4oD5hCmh4WZU9lsNpJCk0gKTeKa1GsAaOtqY3/V/t6AU5lFWVMZ+TX55Nfk87eDfwMg3D/c2XczJ3YOmTGZhPmHWfntiMhYdrCnX2a6+f8yLrzTDDP734S6ExCRbFlpVlCYcbFV85PJLcnj5d3FnhdmwJxqcoSZaVdbXc2IC/AJYG7cXObGzXU+drLppNlI3BNw8qryqG+v58PiD/mw+EMAbNiYMm6KGXBizJAzOWIyPiO0H4+IyGm1N8PRLeb9adeab+NnwaTL4NgHsOP3cNVPLCvPCgozLnbDnCTW/mM/e4tqOVrRyOTYUKtLGp6ETMh+yS2bgF0lPiSe5SHLWT5xOQAdXR0crDnI3oq9zoBT3FjM4drDHK49zPpD6wFzSXlGTIYz3GTGZBIdFG3ltyIi3qjgfehshfBkcwsNh0V3mWFm17Nwxf1japm2woyLxYYFcFlaDFvyK3h1TzH3rZhudUnDk5Bpvi0d+hlN3sbPx4/0mHTSY9K5febtAFS2VJJdYR6qmV2ZTXZlNk0dTXxS+gmflH7i/Nzk0OR+01PTI6frWAYROT99p5j69vJNvxYiJkBdIeS8bK5sGiMUZkbBqvnJbMmvYH3PWU12uwc1kjpWNNUUQGs9BIZbW4+biAmKYemEpSydsBSAru4uDtcedk5PZVVkcbTuKCcaT3Ci8QT/KPgH0HssQ2ZsphlwYrSxn4gMg2H0Nv86ppgc7D5w4Tdg44/NRuC5t7v1KtSRpDAzClbMiic0wJcTNS3sPF7DhaketCNwSDSEj4f6YjiZMya75IfCx+7D9KjpTI+azuenfR6A+vZ6c2O/nnDjOFTz1GMZYoNinaM3s2NmMyt6lpaGi8jgSvdBQwn4hcCkSwd+fN6XYfM6szWgcDtMvHj0a7SAwswoCPTz4dqMBP626wTrd5/wrDAD5uhMfbH5j0NhZsjC/cNZnLSYxUnmNXMcy+Dou8muzOZg9UEqWip4r/A93it8DwAfmw9pkWnO3pvZsbOZGD4Ru81u5bcjIu7AMSozZSn4DbKbeXAUzP4C7H6uZ5m2woyMoFXzk/nbrhO8lV3KmhvSCfTzoFUvCZnmTpNlY7dvZiT0PZZh5ZSVgLmxn2NpeFalGXLKm8s5UH2AA9UHeOngS4AZjDJjM5kTM4fM2EwyYzKJCIiw8tsRESs4dv090+rSRXeaYWb/G1BXDBHjR6c2CynMjJJFqVGMHxdEcW0L7+0v57rZHrRni5qAXSbIN4j58fOZHz/f+VhZUxnZldnO6ancqlzq2+v5qPgjPir+yPm8SeGT+i0NT4tMw9euf9IiXqu+FEr2mPfTzhBm4tN7l2nv/D0s+/Ho1Gch/Z9vlNjtNm6al8Tjm4+wfvcJzwoziT1NwBUHoLMdfD1sJ2MPkxCSQEJIQu/S8G5zaXhWRRbZFdlkVWZxvP44x+qPcaz+GK8feR2AQJ9As7k4JtM5PRUfHK/mYhFvcWiD+Xb8AgiLP/NzF93Zu0z78vsHn5LyIgozo+iz85J5fPMRth6soKqxjejQAKtLGppxEyEgAtrqoDK/d6RGRoWf3Y/06HTSo9O5dcatANS01jhHb7Irs8muyKaho4Hd5bvZXb7b+bmO5mJHwEmPTldzsYincizJnnbN2Z877VqISIG6op5l2re7tjaLKcyMoqlxocxOjiDrRB1v7Cvhq5ekWl3S0NhsZoA5/qHZBKwwY7nIwEguT76cy5MvB6Db6OZY/TGyK7KdIedgzcDmYrvNztRxU3tHb2JmkxqRqp2LRdxdRwsc2WzeH0qY8fGFC74B7/6kZ5n2bV69TFthZpStmjeerBN1rN9T7DlhBvqHGXE7dpudyRGTmRwxmRun3ggMbC7OrsymrKmMgzUHOVhzkJcPvQz07FwcneEcwcmMzSQmKMbKb0dETlXwAXS2mFtlDPUPyvlfgS3rzMUbRZ/AhItcW6OFFGZG2co5Sfzsrf1knajjcHkjU+M85HgDNQF7nMGai8uby519N9mV2eRU5pg7F5d9widlvTsXJ4Uk9Zuemhk9kwAfD5kWFfFGfVcxDXWExblM+4/m6IzCjIyU6NAArpgWy3sHynllzwm+f/UMq0saGkcTcFm2uQOlFw9XerO44DiWTVzGsonLAOjs7uRI7ZF+/TdHao9Q0lRCSVMJbx8z5+h97b5Mj5zer7l4QtgENReLjIYz7fp7NhfeaYaZvNe9epm2zTAMw+oiXKm+vp6IiAjq6uoID3ePrfjfyirlnhd2M35cEB/cv9QzjjfobIe1SdDdAf+2DyInWV2RuEhjeyO5Vbm901MV2VS1Vg14XkRAhPNgzcwYc++bcYHjRr9gEW9XmgVPXgZ+wXB/wfBXJj1zndkmcNn3YNl/uqZGFxjO72+NzFhg2cw4wgJ9Ka5t4ZOCai6e4gEnK/v6Q9xMc+61LFthxouF+oeyKHERixIXAebOxSVNJc7pqayKLPZX7aeurW7A3jcpYSnO0ZuMmAxmRM3Q9JTI+XKsYpq85NyWWC/6lhlmdj0Ll3/fK5dpK8xYINDPh+tnJ/KXT4tYv/uEZ4QZMI81KMsy/0qYudLqamSU2Gw2xoeOZ3zoeK5JNVdRdHT17H3TM3KTXZnNsfpjFDUUUdRQ5DxY89TpqYyYDB3NIDJcw1mSPZjp10F4MtSfgNz15somL6NpJot8WlDNF578mNAAX3Y8eBVB/h6wNPaTJ+Gf95tztre9aHU14mbq2urIrcwlqzKLnMocsiuzqW6tHvC8MP8wMqIzzJPDY8yAEx3kIYFeZLQ1nIRfTjPvfzcfwhLO7et88Ai891NInAPf2uoRfY+aZvIACydGkhwZxImaFjbuP8kNc5KsLunsHCuatDxbBhEREMHi8YtZPL73YM2+01M5lTnkVeXR0N7Ax6Uf83Hpx87PHR86nsyYTLMHJ3Y2M6NmEujrfUPhIsN2qKfxN2neuQcZgPl3wNaHzFO3iz6FCYtGpj43oTBjEbvdxqp54/m/TYdZv/uEZ4SZ+Azzbf0JaK42l/2JnMag01PdHRyqOUROZY5z9VRBXQHFjcUUNxY7V0/52HyYFjmtX8BJjUjV9JSMPee6iulUIdGQ+XnY83zPMm3vCjOaZrJQQWUTS/9nCz52G9sfWEZsmAc0Sv5qLtQUwFdeM5vRRM5TQ3sDuVW5zt6b7MpsKlsqBzzPsblfZmymcxVVbHCsBRWLjJKOVng4FTqazamhpLnn9/XKsuG3l4LdF1ZnQ7h7/xGtaSYPkRoTwtyUcewtquX1fSV8/VIP2BE4IdMMM6VZCjMyIsL8w7go8SIuSjQ39DIMg5PNJ3vPnarMJq8qb9DN/RJCEpyjN5kxmcyKnkWIX4hV34rIyDr2gRlkwpLMXpfzlZAJEy+B4x/Bzj/Alf9x/l/TTSjMWOzm+ePZW1TL+t0nPCPMJM6G/a+rb0ZcxmazOU8OXzFpBdB/cz/HBn9Hao9Q1lRGWVMZG49vND8XG1PGTXGGm8yYTKZGTsXP7mfltyRybpyrmIax6+/ZXPitnjDzjLlM29cDZgSGQGHGYtfPTuK/3swjt6Se/LIGpieEWV3SmSX02QlYZJT42n2ZHjWd6VHT+dy0zwHQ1NFEXlWe81gGx9lTh2sPc7j2MK8efhWAAJ8AZkbNdAacjJgMUsJStHuxuDfDgPzzXJI9mBnXm+c71RdDznqYe+vIfW0LKcxYLDLEn6XT49iQd5L1e07wwLUzrS7pzBwrmioPmqe4+gVZW4+MWSF+IVyQcAEXJFzgfKyiucIZbHIqc8ipyqGhvYG9FXvZW7HX+byIgAgyojP6BRwtDxe3cjLXXGzhGwSTrxi5r+vjCxd8Hd77L7MReM4tHrFM+2wUZtzAqvnj2ZB3ktf2lHD/1TPwcefjDcISITgGmiuhPA/GL7C6IhGn2OBYlk5YytIJSwHoNroprC/sDTeVOeyv7tm9uOQjPirp3b04KSSpX7iZFT2LYL9gq74VGescB0tOXjLyfzTO/ypseQhK98KJHZBy4ch+fQsozLiBpTPiiAjyo6y+le1Hq7hkaozVJZ2ezWaOzhzdbDYBK8yIG7Pb7EyKmMSkiEmsnGLuWu3YvdjRf5NTmUNBXYHzcM0Nxzc4P3fKuCn9GoynjpuKr13/25RRkN+nX2akOZZp7/2TOTqjMCMjIcDXPN7gz58U8vLuE+4dZsBsAj66WX0z4pH8fPxIj0knPSadW7gFMJeH51XlOUdvsiuzOdl8kkM1hzhUc4j1h9YDEOgTyMzo/v03yaHJ6r+RkdVYDsW7zPuuCDNgnte090+Q9xrUl0J4omteZ5RYGmaeeOIJnnjiCY4dOwZAeno6P/7xj7n2WnNzIMMw+OlPf8pTTz1FTU0NixYt4vHHHyc9Pd3Cql1j1fzx/PmTQt7OKeNnN3US7O/GOdPZBJxlbR0iIyTMP6zf4ZoA5c3l/cJNTmUOjR2N7Cnfw57yPc7njQsYR3pMuhluojNIj0knJsjN/yAR93ZoA2CYy7FdtRdM4hyYsBgKt/Us037QNa8zSiz9jZmcnMzPf/5zpk6dCsBzzz3HjTfeyJ49e0hPT+fhhx/mkUce4dlnn2XatGn87Gc/Y/ny5eTn5xMW5uarfoZp/oRIJkYHc7yqmQ25J7lp3nirSzo9RxPwyVzo7gK7B5wrJTJMccFxXDnhSq6ccCVg9t8crz/eL9wcqD5AbVvtgNPDE0MSyYjJID063fk21D/Uqm9FPE1+T7/M+e76ezaLvmWGmV3PwOXf8+hl2kPeAfhrX/sav/rVr1weIqKiovjFL37B1772NZKSkli9ejU/+MEPAGhrayM+Pp6HHnqIO++8c0hfz513AD7Vo+8e5NF3D3FZWgzPf92Nt5ru7oK146GzBe7dCTFpVlckYon2rnbyq/PJqTJHcHIrczladxSD/v9btWFjUsQk5wqqjJgMpkdNJ8DHc395iIt0tsFDqdDRBN/aYp7J5CpdHfCrOeYy7c8+aa5sciPD+f095DDj4+NDaWkpcXFxI1Lkqbq6uvjb3/7GHXfcwZ49ewgMDGTKlCns3r2befN6/2PeeOONjBs3jueee27Qr9PW1kZbW5vz/fr6elJSUjwizByvauKKX2zBboPtDywjLtyND9p7ehkU74Sbfw+Zn7O6GhG30djeyP7q/c4RnNzKXEqaSgY8z9fuy7TIaf0CzuSIyfhopHNsO/wu/OlmCE2A+/aD3cXnkb3/P7Dp/5mh6Zub3WqZtkuOM3DVEU7Z2dlcfPHFtLa2EhoayiuvvMKsWbPYtm0bAPHx8f2eHx8fz/Hjx0/79datW8dPf/pTl9TqahOjQ1g4MZKdx2t4bW8J37x8stUlnV7ibDPMlGUrzIj0EeofOmD/m6qWKnKrcp09ODmVOdS01ZBXlUdeVR4vHXwJgCDfoH4b/KXHpKvBeKzpu4rJ1UEGYMFXYevDULIHTuyElAvO+inuaFg9M674BzV9+nT27t1LbW0tL7/8MnfccQdbt2497WsahnHGOh544AHuu+8+5/uOkRlP8dn549l5vIaXd59w7zDj6JtRE7DIWUUHRXN58uVcnnw5YP5/rKSppF+4ya3KpaWzhd3lu9ldvtv5uY4G474jOGow9lKG0XtK9nQX98s4hMSYf5Du/XPPMu0xEGamTZt21kBTXV09rAL8/f2dDcALFy5kx44d/OpXv3L2yZSVlZGY2LtkrLy8fMBoTV8BAQEEBHjuPPT1mUn89PU8DpQ1kFdSz6wkN50ac6xoKt0HbY0QoOZGkaGy2WyMDx3P+NDxXD3JXHrb1d1FQV2Bs/8mpzKH/Jr8QRuME0IS+oWbWdGzCPP3rkURY1J5HtQVgm8gpI7grr9nc+G3zDCT9yrU/8wjl2kPK8z89Kc/JSIiwlW1AOZfLG1tbaSmppKQkMDGjRudPTPt7e1s3bqVhx56yKU1WCki2I9lM+P4Z04Zr+w5waykWVaXNLj4dAiKhOYqePYzcNtLEJZgdVUiHsvH7sPUyKlMjZzKTVNvAgY2GDs2+HMcsPlu4bvOz58UPqnfCM70qOkE+eq4EY/iOFgy9QrwH8Xdp5PmQspFULTdXNm09Eej99ojZFhh5pZbbhnRBuAf/ehHXHvttaSkpNDQ0MCLL77Ili1bePvtt7HZbKxevZq1a9eSlpZGWloaa9euJTg4mNtuu23EanBHn503nn/mlPHa3hJ+eO1M9zzewC/IDDB/udUcnXl6Gdz+khlyRGRE+Pv4kxmbSWZspvMxR4OxY3m4o8H4WP0xjtUf462jbwHgY/NxniDuWCKeNi4NPx+dIO62HP0y00fwYMmhWnSnGWZ2PgOXfdfjlmkPOcy4ol/m5MmTfPnLX6a0tJSIiAhmz57N22+/zfLlywG4//77aWlp4e6773Zumrdhwwav22PmVEumxxEZ7Ed5QxsfHa7k8mmxVpc0uJQL4Rvvwp8/D1WH4PdXwxeeg6nLrK5MxGudqcE4tyqX3Eqz0biqtYqDNQc5WHPQuYOxv92f6VHT++1/kxqRqhVU7qCxwjwnCSDNRbv+nsnMlRCWBA0lkPsqzPni6NdwHoa8NNtut1NWVuaypdmu4kn7zPT149dy+OPHx7lpbhKP3uLCfQZGQnM1/PXLcPxDsPnA9Y+YHfIiYgnDMDjZfNIMNlW9DcYN7Q0DnhvsG2we0dCze3FGdAbJYVpBNer2vgCvftvsR7zrA2tqeP8XsOlnkDQfvrXZmhr6cMk+M57KU8PMnsIaPvubbQT5+bDzP64iJMCNjzcAc6On1/8Vsl40379kNSz7yegsLRSRszIMg6KGIrP3psqcntpfvZ+WzpYBz40IiCA9Ot289QSc+JDTL7yQEfDXL8P+1+Hy+607WqCpEh6ZBV1t8I33IHmhNXX0cMk+MzK65qaMY3JMCEcrm3g7p4ybFyRbXdKZ+QbAZ38LUamwZR189CjUHDMfG+nj60Vk2Gw2GxPCJzAhfAKfmfwZwFxBdbTuqHPkJrcyl/yafOra6thWso1tJducnx8bFNsbbnqmqCIDI636drxLZxsc2WTet6JfxiEkBjJuhn0vmMu0k39nXS3DpJEZN/br9w7xy40HuWRqNH/+xkVWlzN0+16E1+6F7g5IvhBu/Yv5j0RE3F57VzuHag45A05OVQ5Hao/QbXQPeO740PH9+m9mRs/UEvFzcWQTPP9ZCI2H+w5YO6JdsgeeWgJ2P/j3HEtXqWpkxkvcNG88v9x4kG1HqiitayExwkNGOObcAuHj4a+3w4lP4XfL4Pa/6wwnEQ/g7+NPeow5AuPQ3NHMgeoDzl2Mc6tyOV5/nOLGYoobi9lwfIPzuY4l4o5pqhlRMwj2G8Vlxp7IsYopbYX1U/NJ8yBlERR9Yq5sWvqAtfUMkUZm3NwXnvyYTwuq+eG1M7jriilWlzM8FQfhz5+D2uMQOA5u+TNMutTqqkRkBNS315NXlUdOZQ55VXmnPYPKbrMzOWKyc4oqPTpdh2z2ZRjwq9lQWwi3vAAzrrO6Ish5Gf7+NQiJg3/PBV9/S8pQA3Afnh5mXvy0kB+uz2ZafCjvrL7c81YYNFbAi7eaSw7tfnDj4x635E9Ehqa6tZrcylznMvG8yjzKW8oHPM/X5ktaZBqzomc5G4ynRk7Fzz4G98Ap3w+/uQh8AuAHBeAfYnVF5mnaj2ZCQymsehpmf8GSMhRm+vD0MFPf2sHCn71Le2c3b37nUjLGu3YHZpfoaIFX7oS818z3lzwAV/zArU5nFRHXKG8u7xdwcitzqWmrGfA8xx44s6Jn9dsDx9fu5d0QHzwC7/0Upi6HL/3d6mp6bf0FbP4ZjF8A39xkSQkKM314epgBuOeF3byVVcrXLknlxyvd9HiDs+nuhvfWwEe/Mt+fcyus/D/Lhi9FxBqGYVDaVOoMNo6QM9geOEG+QcyImtFvimpi+ETsNi/a8uH3V5s77173S7jgG1ZX06uxAv53FnS1W7ZMW2GmD28IM+/tP8nXn9tJTGgA2x+4El8fD/6HvPMZeOu7YHTBpMvgi8+bZzyJyJjl2AOnb8DJq8qjubN5wHND/ELM6ak+ASc51EM3+Wuqgv+ZCkY3rM6BcSlWV9TfK3fBvr9A5hfg5qdH/eUVZvrwhjDT0dXNRWvfo6qpnWf+5QKWTvesXZgHOPwuvPRVaG+A6DS4/W/m/jQiIj26urs4Xn+83/TUgeoDtHa1DnhuuH+4M9w4gk5iSKL7B5y9f4FX74L4TPj2h1ZXM1C/Zdq5EDa6GydqabaX8fOxs3JOEs9uO8b63cWeH2amXgVfexte+IJ5ptPvroJbX4SUC87+uSIyJvjYfZg8bjKTx01m5ZSVAHR2d3Kk9oi5eqpnmXh+TT717fV8XPoxH5d+7Pz8yIBIZsWYwcYRcOKD490r4By08GDJoUiaZ+4VduJT8zTtJT+0uqLT0siMh8g6UcsNj31EgK+dnf9xFWGBXtD1X19qBpqyLPANhM8+Cek3WV2ViHiQ9q52DtUeci4Pz6vK41DNITqNzgHPjQ6M7rcHzqzoWcQGW3SQb2c7PDzZHKF2g6MDTiv77/Dy180N/VbnjGqfo6aZ+vCWMGMYBsv/930Olzfy8Odm84WFbja3eq7aGs1/KI6/UJb/Fyz+V610EpFz1tbVxsHqg87em9yqXI7UHqHL6Brw3LigOOcIjiPgRAdFu77II5vh+ZvMvVy+m2/9Znmn09UB/5sBjWWw6ncw+/Oj9tKaZvJCNpuNz84bzy/eyWf97hPeE2YCQs2Not7+IXz6FGz8MVQXwGf+B3z04ykiwxfgE0BmbCaZsZnOx1o6W8ivzncGnLyqPI7WHaW8pZzyonK2FG1xPjchJKH3oM2egDMucNzIFnnwHfPtNDfY9fdMfPzggq/D5v82z2saxTAzHBqZ8SDFtS1c+tAmDAM+/MFSkiO9bIvw7U/A2w8ABkxZBp9/FgI9+7+ZiLivvsc0OELOsbpjGAz8tTg+dHy/VVQzo2YSEXCO+34ZBvzfXPMw3i/+CWauPK/vw+Uay+F/03uWaW+C5AWj8rKaZurDm8IMwK1Pbefjo1V8/+rp3LN0qtXljLwDb8Hfvw6dLRCXDre/BBFufmK4iHiNxvZG9lfvd/bg5FblUthQOOhzJ4RNcAacWdGzhn7QZkU+PH4h+PjD/QXmCLW7W38nZL0Is78Iq54alZdUmOnD28LMSzuLuP/vWUyJDeHd+65wr878kVK8G174IjSVQ2gC3PZXSJprdVUiMkbVt9ezv2p/v31wihuLB33upPBJzIye2RtwomYS6n9KWPnwUXj3J+bKzi+97PpvYCQU74KnrxzVZdoKM314W5hpaO3ggv9+l9aObl6/9xJmJ4+zuiTXqC2EP38BKvaDXwh87g/uu3xRRMac2tZa8qp7V1DlVeUNetCmDRsTwyeae+BEmWdRzXzrAYILPzF7Ay/8pgXVn6PfXWWes7fkR7DkBy5/OYWZPrwtzAD861/28Pq+Er66eBJrbki3uhzXaa2Dl74CR7eAzQ7XPASLvmV1VSIig6purXaO4DhWUZU1lQ14ns0wSO3oZNbkFaQnXsis6FnMiJpBsJ+b90Fm/Q3Wf8McMV+d7fJl2gozfXhjmNmcX86/PLOD6BB/tv9oGX6efLzB2XR1wJv/DnueN9+/6G5Y8TOw+1hbl4jIEFS1VDlHbnKrcskr28nJjoHnUNltdlLDU/vtYjw9ajpBvkEWVH0ane3waAY0noSbfw+Zn3PpyynM9OGNYaazq5uL1m2isrGN39+xkGUzR3eL6VFnGPDhI/Def5nvT7/OPCfEP8TaukREhutvX6Vy/2vkzb+F3JTZZtCpzKO8pXzAU+02O5MjJvdrMrY84Gx5CLasheQL4BvvuvSlFGb68MYwA/D/3szj9x8WcF1mIo/fPt/qckZHzsvwyrehq83cZvvWv476WSEiIuesq8Pc9betHr7+br8jXCqaK/qN4ORW5VLZUjngS/jYzGMe+h7TMC1yGoG+gaPzPTScNJdpd3fANzfBeNct01aY6cNbw8zeolpuevwjwgN92fvjFdjtXriqaTCF2+Evt0JLNUSkwG0vQfwsq6sSETm7o1vhjzdAcAx87+BZp8vLm8t7p6d6lopXtVYNeJ6PzYep46b2G8GZFjWNAJ8A13wf678FWX+F2bfAqidd8xoozPTjrWGmo6ub2Ws20NLRxTurL2d6whD2NvAWVUfgz5+H6iMQEA43/FpnOomI+3v7Adj+G5h7O9z0m2F/umEYnGw+2b8HpyqP6tbqAc/1tfkyNfKUgBM5DX+fEWjaPbELfneluU/Ov+dCqGsOP9ZxBmOAn4+duSnj+PhoFTuPV4+tMBM9xZyr/euX4PhH8Lc74Ng3YMV/g98oDbWKiAyHYUD+P837085tmwmbzUZCSAIJIQlcOeHKni9rBhzHHjh51WYPTk1bDQeqD3Cg+gDrD60HzICTFpnGrOhZzpCTFpk2/ICTvADGL4TinbDrWbji/nP6fkaSRmY82C835PPrTYdZNW88j3xxrtXljL6uDtj0/+CjX5nvJ2TC558zw46IiDupOAiPX9Cz6+9RCHDdH6CGYVDWVNZ/iqoql9q22gHP9bX7kjbODDiOlVTTxk3Dz8fvzC+S9RKs/6ZLl2lrZGaMWDAxEoBdhTUWV2IRHz/zlO1Jl8Erd0JZNjx5Oaz8lcuXDIqIDMvBt823ky51aZABcwQnMTSRxNBElk1cBpgBp7SptN9Bm7lVudS11bG/ej/7q/fz8iFzN2Jfuy/TIqf1m6JKG5fWP+DMugk2/Id5mvb+1y3/f65GZjxYfWsHc366AcOAHQ9eRWyYi5q9PEF9Cbz8DXPaCWD+V8xN9vzdfBMqERkbnvmM+f+na3/hNpt/GoZBSVNJv12Mc6tyqW+vH/BcP7vfgIAzdd/L+L3/C0i+EL6xccTrUwNwH94cZgCuefR9DpQ18NsvzeeajESry7FWVydsfQje/wVgQNws8+Tt2OlWVyYiY1lzNfxiKhhd8G9ZEDnR6opOyzAMihuLB4zgNLQP3OjPz+7H9JYmZrW1MWfhj7jh4pENaZpmGkMWTIzkQFkDO4/VKMz4+MKVD8LExebSwfI8eGoJXPdLmHub1dWJyFh1+D0zyMTNcusgA+YUVXJYMslhyVw96WrADDgnGk/0Czh5VXk0tDeQE+BPToA/tXv/POJhZjgUZjzcwkmR/PmTQnYeH6N9M4OZshTu+tBsTivYCq9+GwreNw91Cwg9++eLiIykg45VTFdbW8c5stlspISlkBKWwjWTzJVY3d3dfP2Fdygs/CdpoXu59tI7La3Riw/1GRsWTowCILekjtaOLourcSNh8fDlV2Dpf5iHVO77Czy9FMpyrK5MRMaSrg441LPt/7Rrra1lBD35fgGbc7opbLqGb974GlfNt3b0W2HGwyVHBhEXFkBHl8G+olqry3Evdh+44vtwx5sQlgiVB+F3y2DnM+aeDyIirla4HdrqIDgakhdaXc2I2HqwgoffOQDAmhvSnStrraQw4+FsNhsLJ5k/SJpqOo1Jl5jTTlOXQ2crvLkaXv46tA7s2BcRGVGOJdlpK856fIEnKKxq5l//sgfDgFsuSOG2CydYXRKgMOMVFvRMNe1SmDm9kBjzHKfl/wU2H/PQyqeugJK9VlcmIt7sPHf9dSfN7Z186/md1LV0MDdlHD+9MR2bzT3OBVSY8QILHZvnHa+hu1vTJ6dlt8Ml/wZfe9s8pLL6KPx+OXzylKadRGTkVR42z5Cz+8GUK62u5rwYhsEPX87mQFkDMaEB/PZLCwjwdZ+RJoUZLzArKZwgPx/qWjo4UtFodTnuL+VCuPN9mP4Z6GqHf34fXvoytNRaXZmIeBPHKqZJl0CgZ+9z9vsPC3h9Xwm+dhu/uX0+CRHudQ6ewowX8POxMyclAlDfzJAFR8EtL8A1Pzf/atr/Bjx5GZzYaXVlIuItDr5jvvXwVUzbDley7p9mw+9/Xj+LC1OjLK5oIIUZL+FYor3zmMLMkNlscNG34esbIHIS1BbCH66Gbb/WtJOInJ+WGji+zbzvofvLAJyoaebev+yhq9vg5vnJfOVi99z0T2HGSyyY5Oibqba4Eg80fr457TTrRujuNA9P+8st5hbkIiLnwrHrb+wMiEq1uppz0trRxV1/2kV1UzsZ48P5789muE3D76kUZrzE/AmR2GxwrKqZioY2q8vxPIER8PnnzKMPfALM5ZS/vdTcI0JEZLgcS7I9dBWTYRj86JVscorriQrx57dfWkCgn/s0/J5KYcZLRAT5MS3OPFZeS7TPkc0GF3wDvvEuRE2B+mLzpNsPfgnd3VZXJyKeoqsTDvWcIu2hYeaPHx9n/e5ifOw2HrttHsmRwVaXdEYKM15EU00jJHE23LkVMj9vDhO/91/w55uhscLqykTEExRth9ZaCIoyV096mE+OVvH/3swD4IFrZ7B4SozFFZ2dwowXcew3oxVNIyAgDFY9DTf8GnyD4Mgmc9qp4AOrKxMRd+fBu/6W1rVwzwu76ew2uHFuEl+/1DP6fRRmvIhjRVNOsQ6dHBE2G8z/CnxzE8RMh8Yy+OMNsOXn0K3rKyKnke/ol/GsVUxtnV3c9afdVDa2MzMxnJ+vmu22Db+nUpjxIilRQcT2HDqZdaLO6nK8R/ws+NZmmPslMLphyzr4443QUGZ1ZSLibqqOQNUhsPvC1GVWVzNkhmHw41dz2VdUy7hgP5768gKC/D1nVElhxovYbLY+U03qmxlR/iFw0+Pw2SfBLwSOfQBPXGIuvxQRcXBMMU28xFwl6SFe+LSQv+4swm6D/7tlHilR7t3weyqFGS/jOIp9lzbPc405t8C3tkB8BjRXwp9uhjdWa08aETF54MGSu47XsOb1XAC+f/UMLp8Wa3FFw6cw42UWTuo5QbtQh066TOw0c/n2wq8BBux6Bn49H3Y9qyXcImNZSy0Ufmzen+4ZYaa8vpVv/2kXHV0Gn8lM4K4rJltd0jlRmPEy6UnhBPrZqW3u4GilDp10Gb8guP5/4av/gLhZ5tblb/wb/P4qKN5tdXUiYoUj75m7iMdMgyj3DwXtnd18+8+7KW9oY1p8KL/43ByPafg9lcKMl/HzsTMneRygc5pGxaRLzKMQrl4H/mFQvAuevlJTTyJjUb5n7fr7X2/msut4DWGBvjz15YWEBPhaXdI5U5jxQgu038zo8vGDi++G7+yE2V9EU08iY1BXJxzu2fV3uvufkv3SjiL+tL0Qmw1+dctcJsWEWF3SeVGY8UILnTsBK8yMqrAEWPXUwKmn3y0zR2xExHud+NT8Nx84DpLde9ffvUW1/MerOQDcd9U0rpwRb3FF509hxgvNn2CGmYLKJiobdejkqDt16qlkNzy9zAw2mnoS8U6OVUxpK8DHfadrKhrauOv5XbR3dbNiVjz3LJ1qdUkjQmHGC40L9ictLhTQ6IxlBp16elZTTyLe6uA75ls3XsXU0dXNPS/spqy+lSmxIfzyC3Ow2z2z4fdUCjNeSlNNbqLf1FO6pp5EvFH1UajMN3f9neK+u/7+91v7+bSgmtAAX5788kLCAv2sLmnEKMx4qQU95zTtPKZpDbfgmHq65ucQEK6pJxFv4ljFNOFiCBpnaSmns373CZ7ddgyAR74wh6k9o/feQmHGSzmONcgprtehk+7Cxxcu+jbcuxNm30K/qaedz2jqScRTOY4wcNNVTDnFdTywPhuAf71yKivSEyyuaOQpzHipidHBxIT6097VTXaxDp10K2HxsOrJ/lNPb67W1JOIJ2qtg+MfmffdcH+Z6qZ27nx+F22d3SydHsvqq6ZZXZJLKMx4KZvN1rvfjDbPc0+aehLxfEc2mbv+RqdB9BSrq+mns6ube1/YTXFtC5Oig3n0lnle0/B7KoUZL7awp29ml07Qdl9nnXrSFKGIW3Pu+nu1tXUM4uF38tl2pIpgfx+e+spCIoK8p+H3VAozXmxBnxVNhqFDJ92aY+rpX/6pqScRd2cYcHQr/PVLkP038zE365d5fV8JT71/FID/+fwcpsWHWVyRaynMeLGMpAgCfO3UNHdwtLLJ6nJkKCYuPmXqaY+mnkTcRWsdfPIkPH4h/PEG2P8GGF2QcbO5kslN7C+t5/6/7wPg20um8JnMRIsrcj1Lw8y6deu44IILCAsLIy4ujptuuon8/Px+zzEMgzVr1pCUlERQUBBLliwhNzfXooo9i79v76GTu9Q34zk09STiXk7mwpv/Dr+cCf+8HyoPgn8oXPANuHs7fO4PYPexukoAapvNht/Wjm4uS4vheyumW13SqLA0zGzdupV77rmH7du3s3HjRjo7O1mxYgVNTb2jCA8//DCPPPIIjz32GDt27CAhIYHly5fT0NBgYeWewzHVtFN9M55HU08i1ulsh5yX4Q/XwhOLYecfoKMJYmfAZ/4HvnsArvslxM20ulKnrm6Df31xL4XVzaREBfHrW+fh46UNv6eyGW7UTFFRUUFcXBxbt27l8ssvxzAMkpKSWL16NT/4wQ8AaGtrIz4+noceeog777xzwNdoa2ujra33PKL6+npSUlKoq6sjPDx81L4Xd/He/pN8/bmdTI4NYdN3l1hdjpyrrk7Y8TvY/N/QVg/YYP5XYNlPICTa6upEvEd9iTkCuvs5aDxpPmbzgZnXwwXfhEmXgs09A8LDbx/gN1uOEOhnZ/23L2FWkmf/zquvryciImJIv7/dqmemrs7cDyUqylyFU1BQQFlZGStWrHA+JyAggCuuuIJt27YN+jXWrVtHRESE85aSkuL6wt2YY3n20YomqpvaLa5GzpmPL1x0lzn1NOdWwDD/Z/vYAvjgEfXTiJwPw4CC9+GvX4b/zYD3HzaDTGgCXPFD+Pcc+MIfIfUytw0y/8wu5TdbjgDw0M2zPT7IDJfbhBnDMLjvvvu49NJLycjIAKCsrAyA+Pj+x5PHx8c7P3aqBx54gLq6OuetqKjItYW7uXHB/s5tq3VOkxcIi4fP/hb+5W2IzzCnnt77KfxvOrx5H1QctLpCEc/RWg+fPAWPL4LnVsL+182G3omXwueeMUPM0gcgPMnqSs/o4MkGvvs3s+H3m5elcuPc8RZXNPrc5pzye++9l6ysLD788MMBH7OdkoQNwxjwmENAQAABAQEuqdFTLZwYyeHyRnYer2b5rPizf4K4v4kXw7e2mstCtz8OZdmw8/fmbepy88TuyUvd9q9IEUudzIMdT8O+v5p9MGA29M7+otnUGz/L2vqGoa6lgzuf30VzexeLp0Tzg2tmWF2SJdwizHznO9/h9ddf5/333yc5Odn5eEKCeX5EWVkZiYm9S8vKy8sHjNbI6S2YGMmLO4q0osnb+PjC3Fthzi1w7EPY/gTk/wMObzRvsTPNVVGzvwB+QVZXK2Ktrg5zKfWO3/UePwAQMx0u/KYZZAI9b2rmp2/kUlDZxPhxZsOvr4/bTLiMKkvDjGEYfOc73+GVV15hy5YtpKam9vt4amoqCQkJbNy4kXnz5gHQ3t7O1q1beeihh6wo2SMtnGT2IGUV19HW2UWAr3ssIZQRYrOZc/mpl0HVEfj0KdjzJ6jYD2/8qzkNtfBr5l+cYd53wJzIGdWXmFsb7Hq2f0PvjOvMEDPJfftgzqa+tYM3s0oB+NUtc4kOHbuzEpaGmXvuuYcXXniB1157jbCwMGcfTEREBEFBQdhsNlavXs3atWtJS0sjLS2NtWvXEhwczG233WZl6R5lUnQw0SH+VDW1k1Ncx4KeYw7EC0VPgWsfgqU/gt3Pmxt81RXC+7+ADx81N/e66NuQNNfqSkVcxzDg2AfmKMz+N80+GIDQeFjwVfPm5n0wQ/FOThntnd2kxYU6F3uMVZaGmSeeeAKAJUuW9Hv8mWee4atf/SoA999/Py0tLdx9993U1NSwaNEiNmzYQFiYd2/NPJIch05uyDvJzmM1CjNjQWAELL4XFt0F+W/Bx7+Bou2Q9aJ5m3iJGWqmf8ZtNvsSOW+t9ZD1VzPEVBzofXzCYrjwGzBjJfj6W1ffCHt9XwkAN85NOm0f6VjhVvvMuMJw1ql7s6feP8Lafxxg+ax4nv7KQqvLESsU74Ltv4Xc9eYpvwDjJpqBZ96XPLJfQASA8v3w6dNmkGlvNB/zC4E5jobedGvrc4HyhlYuWvse3QZs/f4SJkaHWF3SiBvO72+3aAAW13OMxuzuOXRyrKf4MWn8Arj5aVj+U/Mv151/gNrj8M4DsHktzP8yLLoTIidZXanI2dWdMKeQ8l6Fwo97H4+ZZgaYObeYI5Re6h9ZpXQbMDdlnFcGmeFSmBkjMsaH4+9rp6qpnYLKJibHhlpdklglPAmW/Rgu+575l+z2J6AyH7b/Bj75rTn1dPE95sF5Cr3iTioPmSuS9r8BJbt7H7f5wIzPmDv0pl4+Jn5uX+szxSQKM2NGgK8Pc5Ij2HGshp3HaxRmBPyDYeG/wPw74Ogms6/myHtw4E3zljgHLroH0j/rVX0G4kEMA8qyegNM3z4YbGbgnrkSZt0IEWNno7jCqmb2FNZit8F1s73/ROyhUJgZQxZMjGLHsRp2HavhCwvH9jEP0ofdDlOvMm/lB+CTJ2Dfi1C6D175Fmz8T/Mv3oVf0zlQ4nrdXVD0qRleDrwBtYW9H7P7mSMvM1eaS6tD46yr00JvZJmjMounxBAXFmhxNe5BYWYMWThRJ2jLWcTNgJW/Mg+w3PkHs6mysQw2/ww++B9zY7GLvu1WJwWLF+hsN5dS738DDrwFTeW9H/MNgrSrYOYNkLYCgsZZVqa7eG1vMQA3aIrJSWFmDHHsQ3CkoomapnYiQzR1IKcRHAWXfw8W/6vZYPnx41C61zzccvdz5lEJF98DU5aZIzsiw9XebE5r7n8DDr4NrXW9HwuIgOnXmCMwU5aZU6ICwIGyeg6ebMTfx87V6doE00FhZgyJDPFnSmwIRyqa2HW8hqt0TpOcja+/eRxC5ueh6BMz1Bx4E45uNm8x02DubTDlSojPVLCRM2uphUMbzAMdD70LnS29HwuJM6eOZq40d+VVn9agXttrTjEtnRFLRJCfxdW4D4WZMWbhxCiOVDSxU2FGhsNmgwkXmbea4+aRCbv/CJUH4d015i04BiYvMYPNlKVescOqjIDGcnPqaP8bUPA+dHf0fmzcBHP6aMb1kHKhNnA8C8MweH2vYxXT2Gl4HgqFmTFmwaRI/rqziF3qm5FzFTkRrv5vWPJDc2n3oY1Q8AE0V0LO380bQOwMM9hMXgqTLgF/7YUxZtQWmnvA7H+jZw+YPnuzxs4wR19mroSE2WNiGfVI2V1YQ3FtC6EBvlw5Y2w2P5+OwswY42gC3ndCh07KeQoIMzcnu+AbZgPniR1wZJM5/VS821xGW3HA3L/G7meO6kxZaoabxLmakvI2Ffnm9NH+N8yVcH0lze8NMDFp1tTnBRxTTCvS4wn00/+7+1KYGWNSY0L6HDpZP+YPJ5MR4utvjr5MugSW/Sc0V0PBVjiy2bzVFZqrVY59AO/9FwRF9UxJ9YSbcdoqwKMYhrkDb+k+M8Tm/8OccnSw2c3zkBxLqPXf97x1dnXzVs8J2TfM0RTuqRRmxhibzcb8iZFszDvJruPVCjPiGsFR5mZ76Z81f/FVHzVHbY5sNvsmWqrNM6Jy15vPj07r7bWZdKk56iPuwTCg5pgZXEr3mavaSvdBc1X/59n9zP9+M1eau0iHxFhRrdf66EgVVU3tRIf4c8lUXdtTKcyMQQt6wszOYzV863KrqxGvZ7NB9BTzduE3oavDPPTSEW6Kd0LVIfP26ZNg94WUReaIzZQrIWmuGkNHS3e3GTxL9/aGltJ9/ZdNO9h8zP2GEueY/53Slnv1WUhWc+wtc93sRPx8NEV7KoWZMcjRN7NLh06KFXz8eldGLf2RuVy34H2z1+bIJnMU4PhH5m3zzyBwHEy+ojfcRE60+BvwEt1d5llHfUNLaRa0Nwx8ro8/xM0yg0viHDNgxqWDn3afHQ2tHV28k1MGaIrpdBRmxqCM8RH4+5iHTh6raiY1RqtMxEJB42DWDeYNeqakevaxOfo+tNZC3mvmDSBqijmdMeVKcz+SwHCrKvccXR1mM7YjtJTshZM50NE88Lm+gRCfYQYWR3iJnal9Xyy06UA5Te1djB8XxPwJag0YjMLMGBTo50NmcgS7jtew81i1woy4l6jJ5u2Cr0NXJ5Ts6V0lVfQpVB8xbzt+1zvVEZ4EYQkQlgThif3fBkeNreW/nW1QnndKcMmFrraBz/ULgYTMPsFlrrkRoo9+NbiTvscX2O1j6Gd5GPQTO0YtnBjJruM17Dpew+d16KS4Kx9fSLnAvC35AbTWmyuijvRMSVUfMUcYTuac4WsEmEEnPAnCEvsEn8Tex8ISPWvKpLMN2hqgrR6aKs2TpUv2muGlfH//jekcAsJ7R1ocwSV6ivqR3FxdSweb8ysATTGdicLMGLXAeehkjcWViAxDYLi51HfGdeb7tYXm/ib1JdBQBg0lUF/a+7a50hyRqD1u3s4kKKpP4EnsDTl9Q1Bw9LmP8nR19ASQnlt7Y28gaWsc3mODhZV+30tk/9CSOAciU7W3jwd6J7eM9s5upsWHMiNBq/xOR2FmjHKEmcPljdQ2tzMuWPPh4oHGTTBvp9PZ1hNySnsCT9+3fUJPV5u5XLyl+iyjPP4Dp7MCw3sCx1kCSWfryH//fiHmCqL4Wb2hJXGOeU3G0tSaF+t7fIEWa5yewswYFR0awOSYEI5WmodOLpupc5rEC/kGmKufzrQCyjCgpWZgwBl0lKfdHA2qLTyPmgLNfXQCwsA/1Jz+CQg9t8c0ReTVyhta2XakEoCVszXFdCYKM2PYgomRHK00D51UmJExy2Yzm4SDoyA+/fTP62yDxpMDg05bQ0/YCBtCIAkzl6aLDMFbWaV0GzBvwjgmRAdbXY5bU5gZwxZOiuRvu06w65j6ZkTOyjfg7NNaIiPIcRbTjWr8PSt1g41hCyZGAbDvRC3tnd0WVyMiIg6FVc3sLarFboPrNMV0VgozY9iU2BAig/1o6+wmt2SQ7cpFRMQSr+8z95a5ZGoMsWEBFlfj/hRmxjCbzeZc1bRLS7RFRNyCYRjOKaaVmmIaEoWZMc4x1bRTfTMiIm7hQFkDh8ob8fe1c01GgtXleASFmTFu4aTezfMMw7C4GhERcYzKXDk9jvBArX4bCoWZMS6z59DJysY2CqsHOXRORERGTXe3wRv7zDBzw1xNMQ2VwswYF+jnQ8Z489RhTTWJiFhrd2ENxbUthAb4cuWMOKvL8RgKM8LCST19M2oCFhGxlGOK6er0BAL9tMPzUCnMSJ8VTdUWVyIiMnZ1dHXzVnYpoCmm4VKYEWeYOXiykbrms5zGKyIiLvHR4Uqqm9qJDvHnkinRVpfjURRmhJjQAFJjQgBzvlZEREaf44Ts62cn4uujX8/DoaslQO/ozE5NNYmIjLrWji7eyS0DNMV0LhRmBICFjjCjFU0iIqPuvf3lNLV3kRwZxPwJkVaX43EUZgTo3Txv34laOrp06KSIyGh6ba95FtPKOUnYbDaLq/E8CjMCwOSYUMYF+9Ha0U1uSb3V5YiIjBl1LR1sya8A4EZNMZ0ThRkBwG63sWCCY6pJfTMiIqPlnZwy2ru6mR4fxoyEcKvL8UgKM+K0YJJO0BYRGW2v7TOnmNT4e+4UZsRp4cTenYB16KSIiOuV17fy8ZEqAG6YozBzrhRmxGl2cgR+PjYqGtooqm6xuhwREa/3ZlYp3QbMnzCOlKhgq8vxWAoz4mQeOhkBaL8ZEZHR8JrjhGyNypwXhRnpx7nfjPpmRERc6nhVE/uKarHb4LrZCjPnQ2FG+lnQ0zezS5vniYi4lOP4gkumxhAbFmBxNZ5NYUb6cR46Wd5AXYsOnRQRcQXDMDTFNIIUZqSf2LAAJkUHYxg6dFJExFX2lzZwuLwRf187V2ckWF2Ox1OYkQHm94zOaKpJRMQ1HHvLXDk9jvBAP4ur8XwKMzJA734zWtEkIjLSursN3ujpl9HxBSNDYUYGcBw6ubdIh06KiIy0XYU1lNS1Ehbgy9IZcVaX4xUUZmSAqbGhhAf60trRTZ4OnRQRGVGOE7JXpCcQ6OdjcTXeQWFGBrDbbc5VTdpvRkRk5HR0dfOP7DJAU0wjSWFGBrVwUs9+M+qbEREZMR8erqS6qZ2YUH8WT4m2uhyvoTAjg3KOzBzToZMiIiPFsVHedZmJ+ProV/BI0ZWUQc1JHoev3UZ5QxsnanTopIjI+Wpp72JDrjnFdMPc8RZX410UZmRQQf4+pOvQSRGREfPegZM0tXeRHBnE/AnjrC7HqyjMyGkt7DPVJCIi5+e1vb3HF9hsNour8S4KM3JajjCzSyuaRETOS11zB1vzKwC4UVNMI05hRk5rQc/mefknG6hv1aGTIiLn6u3cUtq7upmREMb0hDCry/E6CjNyWnFhgUyIMg+d3FNYa3U5IiIeyzHFtFInZLuEwoyckXOq6ZiagEVEzkV5fSsfH60CzH4ZGXkKM3JGjqkm7QQsInJu3sgqxTBg/oRxpEQFW12OV1KYkTNynKC9t6iWTh06KSIybK/3nMWkxl/XsTTMvP/++6xcuZKkJHOZ2quvvtrv44ZhsGbNGpKSkggKCmLJkiXk5uZaU+wYlRZnHjrZ3N7F/tIGq8sREfEoxyqb2HeiDh+7jc9kJlpdjteyNMw0NTUxZ84cHnvssUE//vDDD/PII4/w2GOPsWPHDhISEli+fDkNDfqlOlrsdhvznYdOqm9GRGQ4Xt9nNv4unhJNbFiAxdV4L0vDzLXXXsvPfvYzVq1aNeBjhmHw6KOP8uCDD7Jq1SoyMjJ47rnnaG5u5oUXXrCg2rFroU7QFhEZNsMweE1TTKPCbXtmCgoKKCsrY8WKFc7HAgICuOKKK9i2bdtpP6+trY36+vp+Nzk/C3r6Znbp0EkRkSHLK63nSEUT/r52rk6Pt7ocr+a2YaaszDyMKz6+/w9AfHy882ODWbduHREREc5bSkqKS+scC+ammIdOltW3UlyrQydFRIbCcUL2shlxhAX6WVyNd3PbMONw6vkVhmGc8UyLBx54gLq6OuetqKjI1SV6vSB/H9KTwgEdbSAiMhTd3QZv9PTL3DhXe8u4mtuGmYSEBIABozDl5eUDRmv6CggIIDw8vN9Nzp9jqkmHToqInN3O4zWU1LUSFuDLkulxVpfj9dw2zKSmppKQkMDGjRudj7W3t7N161YWL15sYWVj00JtniciMmSOxt+rMxII9POxuBrv52vlizc2NnL48GHn+wUFBezdu5eoqCgmTJjA6tWrWbt2LWlpaaSlpbF27VqCg4O57bbbLKx6bHKsaMovq6ehtUPzvyIip9HR1c0/sksBTTGNFkvDzM6dO1m6dKnz/fvuuw+AO+64g2effZb777+flpYW7r77bmpqali0aBEbNmwgLEwnjo62uPBAUqKCKKpuYU9hLZdPi7W6JBERt/ThoUpqmjuICfXn4snRVpczJlgaZpYsWXLGpb42m401a9awZs2a0StKTmvhxCiKqovZebxGYUZE5DQcU0zXz07C18dtuzm8iq6yDNkCxwna2glYRGRQLe1dbMg7CcANmmIaNQozMmSOJuA9hTp0UkRkMO/uP0lzexcpUUHMSxlndTljhsKMDNm0uDDCeg6dPFCm87FERE71Ws9GeTfMSTrjnmgyshRmZMjsdhvzJ/Qs0T6mqSYRkb7qmjvYerAc0FlMo01hRoZFh06KiAzunzmldHQZzEgIY1q8Vt2OJoUZGZYFkxxNwAozIiJ9OaeY1Pg76hRmZFjmpozDx26jtE6HToqIOJysb2V7QRUAK2crzIw2hRkZlmB/X+ehk+qbERExvbGvBMMwt7BIiQq2upwxR2FGhs3RBKypJhERk07ItpbCjAyb89BJnaAtIkJBZRP7TtThY7fxmcxEq8sZkxRmZNgWTowC4EBZPY1tnRZXIyJirdd7Gn8vmRpDTGiAxdWMTQozMmwJEYGMHxdEtwF7CjU6IyJjl2EYvLbPPIvpxjmaYrKKwoycE001iYhAbkk9RyuaCPC1syI93upyxixLT80Wz7VwYiSv7S1h+9EqTtQ0W12OiIglXtpZBMCymXGEBfpZXM3YpTAj52RBT9/MJwXVXPrQZourERGx1g1zdHyBlRRm5JxMTwjjsrQYPi3QXjMiMralJ4WzdEas1WWMaQozck587Dae//oiq8sQERFRA7CIiIh4NoUZERER8WgKMyIiIuLRFGZERETEoynMiIiIiEdTmBERERGPpjAjIiIiHk1hRkRERDyawoyIiIh4NIUZERER8WgKMyIiIuLRFGZERETEoynMiIiIiEdTmBERERGP5mt1Aa5mGAYA9fX1FlciIiIiQ+X4ve34PX4mXh9mGhoaAEhJSbG4EhERERmuhoYGIiIizvgcmzGUyOPBuru7KSkpISwsDJvNNqJfu76+npSUFIqKiggPDx/Rrz0W6PqdP13D86Prd/50Dc+Prt/pGYZBQ0MDSUlJ2O1n7orx+pEZu91OcnKyS18jPDxcP4TnQdfv/Okanh9dv/Ona3h+dP0Gd7YRGQc1AIuIiIhHU5gRERERj6Ywcx4CAgL4yU9+QkBAgNWleCRdv/Ona3h+dP3On67h+dH1Gxle3wAsIiIi3k0jMyIiIuLRFGZERETEoynMiIiIiEdTmBERERGPpjBzjn7zm9+QmppKYGAgCxYs4IMPPrC6JLe0Zs0abDZbv1tCQoLz44ZhsGbNGpKSkggKCmLJkiXk5uZaWLH13n//fVauXElSUhI2m41XX32138eHcs3a2tr4zne+Q0xMDCEhIdxwww2cOHFiFL8L65zt+n31q18d8DN50UUX9XvOWL5+69at44ILLiAsLIy4uDhuuukm8vPz+z1HP4NnNpRrqJ/DkaUwcw7++te/snr1ah588EH27NnDZZddxrXXXkthYaHVpbml9PR0SktLnbfs7Gznxx5++GEeeeQRHnvsMXbs2EFCQgLLly93nqk1FjU1NTFnzhwee+yxQT8+lGu2evVqXnnlFV588UU+/PBDGhsbuf766+nq6hqtb8MyZ7t+ANdcc02/n8l//OMf/T4+lq/f1q1bueeee9i+fTsbN26ks7OTFStW0NTU5HyOfgbPbCjXEPRzOKIMGbYLL7zQuOuuu/o9NmPGDOOHP/yhRRW5r5/85CfGnDlzBv1Yd3e3kZCQYPz85z93Ptba2mpEREQYv/3tb0epQvcGGK+88orz/aFcs9raWsPPz8948cUXnc8pLi427Ha78fbbb49a7e7g1OtnGIZxxx13GDfeeONpP0fXr7/y8nIDMLZu3WoYhn4Gz8Wp19Aw9HM40jQyM0zt7e3s2rWLFStW9Ht8xYoVbNu2zaKq3NuhQ4dISkoiNTWVW265haNHjwJQUFBAWVlZv2sZEBDAFVdcoWt5GkO5Zrt27aKjo6Pfc5KSksjIyNB17bFlyxbi4uKYNm0a3/zmNykvL3d+TNevv7q6OgCioqIA/Qyei1OvoYN+DkeOwswwVVZW0tXVRXx8fL/H4+PjKSsrs6gq97Vo0SL++Mc/8s477/D0009TVlbG4sWLqaqqcl4vXcuhG8o1Kysrw9/fn8jIyNM+Zyy79tpr+fOf/8ymTZv45S9/yY4dO7jyyitpa2sDdP36MgyD++67j0svvZSMjAxAP4PDNdg1BP0cjjSvPzXbVWw2W7/3DcMY8JiY/2AdMjMzufjii5kyZQrPPfecs9lN13L4zuWa6bqavvjFLzrvZ2RksHDhQiZOnMhbb73FqlWrTvt5Y/H63XvvvWRlZfHhhx8O+Jh+BofmdNdQP4cjSyMzwxQTE4OPj8+AZFxeXj7gLxUZKCQkhMzMTA4dOuRc1aRrOXRDuWYJCQm0t7dTU1Nz2udIr8TERCZOnMihQ4cAXT+H73znO7z++uts3ryZ5ORk5+P6GRy6013Dwejn8PwozAyTv78/CxYsYOPGjf0e37hxI4sXL7aoKs/R1tbG/v37SUxMJDU1lYSEhH7Xsr29na1bt+pansZQrtmCBQvw8/Pr95zS0lJycnJ0XQdRVVVFUVERiYmJgK6fYRjce++9rF+/nk2bNpGamtrv4/oZPLuzXcPB6OfwPFnTd+zZXnzxRcPPz8/4/e9/b+Tl5RmrV682QkJCjGPHjlldmtv57ne/a2zZssU4evSosX37duP66683wsLCnNfq5z//uREREWGsX7/eyM7ONm699VYjMTHRqK+vt7hy6zQ0NBh79uwx9uzZYwDGI488YuzZs8c4fvy4YRhDu2Z33XWXkZycbLz77rvG7t27jSuvvNKYM2eO0dnZadW3NWrOdP0aGhqM7373u8a2bduMgoICY/PmzcbFF19sjB8/Xtevx7e//W0jIiLC2LJli1FaWuq8NTc3O5+jn8EzO9s11M/hyFOYOUePP/64MXHiRMPf39+YP39+vyV30uuLX/yikZiYaPj5+RlJSUnGqlWrjNzcXOfHu7u7jZ/85CdGQkKCERAQYFx++eVGdna2hRVbb/PmzQYw4HbHHXcYhjG0a9bS0mLce++9RlRUlBEUFGRcf/31RmFhoQXfzeg70/Vrbm42VqxYYcTGxhp+fn7GhAkTjDvuuGPAtRnL12+wawcYzzzzjPM5+hk8s7NdQ/0cjjybYRjG6I0DiYiIiIws9cyIiIiIR1OYEREREY+mMCMiIiIeTWFGREREPJrCjIiIiHg0hRkRERHxaAozIiIi4tEUZkRERMSjKcyIiIiIR1OYEREREY+mMCMiIiIeTWFGRDxKRUUFCQkJrF271vnYJ598gr+/Pxs2bLCwMhGxig6aFBGP849//IObbrqJbdu2MWPGDObNm8d1113Ho48+anVpImIBhRkR8Uj33HMP7777LhdccAH79u1jx44dBAYGWl2WiFhAYUZEPFJLSwsZGRkUFRWxc+dOZs+ebXVJImIR9cyIiEc6evQoJSUldHd3c/z4cavLERELaWRGRDxOe3s7F154IXPnzmXGjBk88sgjZGdnEx8fb3VpImIBhRkR8Tjf//73+fvf/86+ffsIDQ1l6dKlhIWF8eabb1pdmohYQNNMIuJRtmzZwqOPPsrzzz9PeHg4drud559/ng8//JAnnnjC6vJExAIamRERERGPppEZERER8WgKMyIiIuLRFGZERETEoynMiIiIiEdTmBERERGPpjAjIiIiHk1hRkRERDyawoyIiIh4NIUZERER8WgKMyIiIuLRFGZERETEo/1/eCTe8gv+v+QAAAAASUVORK5CYII=",
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DyZMnk5SUxPr1651f09HRwcaNG1m8eLFVZQ+tej9U7QG7P0xdbnU1w5OQBTY/aKmCxjKrqxERERk2y0ZmIiIimDlz5oDHwsLCiI2NdT6+atUq1qxZQ0ZGBhkZGaxZs4bQ0FCuv/56K0o+MceozMTFEBxlbS3DFRACcdOgcpc5OhOZYnVFIiIiw2JZmDkdd9xxB62trdx6663U1taycOFC1q1bR0SEmx0TsMdxsKSHrGI6XlKOGWbKcj1vmkxERHyezTAMw+oiXKmhoYGoqCjq6+uJjIwc/W/QVg/3TYaeLvjBNoidMvrfw9U2/R7W/TvMuBy+/LTV1YiIiAzr97fl+8x4vP3vmkEmNsMzgwzojCYREfFoCjMjVdS7JNtTdv0diuNYg9pic6RJRETEgyjMjERPN+xdZ9731H4ZgNAYiEw17x9z44M8RUREhqAwMxJHN0NrjbmCKW2R1dWMjHMnYJ2gLSIinkVhZiQcu/5OXQF+br0w7NS0E7CIiHgohZmRcPTLePIUk4OzCVgjMyIi4lkUZs5Q6dHNbGoqpsETd/0diqMJuGIXdHVYW4uIiMgwePjciHV+/9bveD0pAZsBU9bfzOz42eYtYTaTIied9DBMtzRuAgRFQXs9VBX1jdSIiIi4OYWZM5QYGUJSfQ/lAXb21e1jX90+Xtr7EgCRgZEDwk1OXA5hAWEWV3wKNpsZYA59aDYBK8yIiIiHUJg5Q9+/+hH+uuZt2toque3SEHqCDrKzYicF1QU0dDTwQckHfFDyAQB2m52McRnOcDM7fjYTIia43+hN8iwzzKgJWEREPIjCzBny97Nz+ZxU/vxRJ3sPJvPQ9VcD0NnTyZ6aPeyo3MHOip3srNxJaXMpRbVFFNUW8fye5wGIDooeEG6yY7MJDQi18kdSE7CIiHgknc00Avkl9Xzh9x8S6G9n8y8vJCokYMjrKloq2Fm50xluCqoL6OzpHHCNn82PadHTBgSc1PDUsR29Kc+HP54LQZHw88Pm1JOIiIgFhvP7W2FmBAzD4KIH3mfPsSbuuTqH686ecFpf19Hdwa6aXc5ws6NyBxUtFYOuiw2OHTR6E+wfPKo/wwDdnbAmBbo74PadEJ3uuu8lIiJyEsP5/a1pphGw2WxcNTeVe9/czdptJacdZgL9Ap0Nwg7lzeXOqancylwKawqpbqvm3SPv8u6RdwHwt/mTGZPJnIQ5zq9PDksevdEbvwBImAFlO80mYIUZERHxABqZGaGy+lYW3/MuhgEf3LGMtJjR6Xtp726nsLpwwOhNVWvVoOviQ+KdwWZOwhxmxM4gyC/ozL/xK7fB9r/C+XfABb8cwU8gIiJy5jQyM4aSo0JYPCWWj/ZV84/tJfxgecaoPG+QXxBzE+YyN2EuYE5plTaXDgg3RTVFVLZW8vbht3n78NsA+Nv9yYrJYlb8LGYnzGZO/BySwpJO/xs7Ns9TE7CIiHgIjcyMghe3HuUnL+xkUlwY7/7bkjFr2m3taqWgqsBsLu691bTVDLouITRh4OhNzAwC/QKHftJDH8MTF0PkePhxoYt/AhERkaGpAbifsQgzTe1dnPXrt2nt7OblWxczd0K0S77PqRiGwdHGo2bvTaXZe7Ondg/dRveA6wLsAWTFZvVt7Bc/m8SwRPOTbQ1wT5p5/6cHICx2jH8KERERTTONufAgfy7KTuQfO0p5eXuJZWHGZrORFplGWmQal025DICWzhYKqgsGLA2vba91juQ4JIUl9Qs3k5hRWUxAeS5MWWbJzyIiInK6NDIzSt7fU8nX/vwZ40ID+OwXFxLo755neBqGwZHGI84ws6NiB3vr9tJj9Ay4LrDHICs0iTlTLnGGnPjQeIuqFhERX6Nppn7GKsx09xicc/c7VDS28+iN81mZPYymW4s1dzaTX5Xf13tT+gn1PYNPzk4JSxmw701mTCYB9qE3ChQRERkJhZl+xirMAPz3G4U89kExF2cn8ccb57v0e7mSUfQWh164np3x6eycdQU7Knewr3YfBgPfKkF+QWTHZg84VDMuJM6iqkVExJuoZ8YiV89L5bEPinl3dwX1LZ1EhXrmqIUteRbpXV2klx/gim/8BAJDaepoIq8qzzl6k1uZS0NHA9sqtrGtYpvza8eHj2dW3Ky+0ZvoTAL8PPN1EBERz6AwM4pmJEcyPSmC3eWNvJ5Xyg0LJ1pd0pmJSIKweGiuhIpdkDqf8MBwzkk5h3NSzgGgx+jhYMNBZ1NxblUu+2r3UdJUQklTCf86+C+gb/RmVvws9d6IiIhLKMyMsqvnjWfNP83jDTw2zNhs5gna+981N89LHTxlZrfZmRw1mclRk7kq4yqA0x69cfTeOALO9JjpGr0REZEzpjAzyq6YM557/rWbrYdqOVTdzMTYMKtLOjP9w8xpOn70xjAMc/Sm36Z++2r3UdpcSmlz6YDRm6zYrAHTUwmhCS75sURExPsozIyyxMhgzp0axwd7q3h5ewmrLpxmdUlnxnmsQd4ZP4XNZmNS1CQmRU3iyqlXAubKqbyqvAHTU/Xt9Wyv2M72iu3Qu+lwcljygNGbGTEzNHojIiJDUphxgWvmpTrDzO3LM8bseINR5QgzxwqgpxvsfqPytGEBYSxKXsSi5EWAOXpzqOHQwNGbun2UNZdR1lzGmwffBCDQHujctdgRcJy7FouI+Krc56HgH3D5/0GY764mVZhxgZXZiYQG+nGouoVth2uZPzHG6pKGL3YKBIRCZwtU74d414ww2Ww20qPSSY9K54qpVwCD973Jrcylrr2OHZU72FG5w/m1jl2LHdNTJz1zSkTE2/T0wLr/gKZy+HgaXLja6oosozDjAqGB/lw8M4m120pYu63EM8OM3Q8Ss+HoZrNvxkVhZihhAWEsTF7IwuSFgDl6c7jx8IAjGfbW7aW8uZzy5nLeOvgWYJ45NSNmxoCVU0lhSZ45MiYicirlO80gA7D1KVjyMwgIsbYmiyjMuMg181JZu62E13PL+NVlWQT5j840zZhKyukLMzlftKwMm83GxMiJTIycyOVTLgfMM6fyq/LJrcodcOZUblUuuVW5/HXXXwGID4l3Tk3Nip9Fdmw2wf7Blv0sIiKjpujNvvutNZD3Isy70bp6LKQw4yKLJseSFBlMeUMb7+2u4OKZyVaXNHyj0ATsKqEBoZydfDZnJ58N9J0YvrPKHL3JrcqlqKaIytZK3j78Nm8ffhsAf5s/02KmDei9SQ1P1eiNiHiePeaKUJJmmf/o/PQRmPtVc3sNH6Mw4yJ+dhtXzE3hkY0HeGlbiWeHmbJcMAy3/h+k/4nhX5j8BQBau1oprC4ktzLX2X9T1VpFYXUhhdWFPLv7WQBigmOcfTez4mYxM24moQGhVv44IiIn11AKZTsBG1zzODxyPhzLg8Mfw8TFVlc35hRmXOjquak8svEAG4oqqG3uIDrMw5pTE7PAZoeWKmgsh0jPCmQh/iHMT5zP/ERz0z/DMChrLnOGm9zKXAprCqlpq2HD0Q1sOLoBMDcEzBiX4Ry5mRU/i/TIdI3eiIj72GP2CjJ+vtnTOPvLsPVJ+PSPCjMyujKTIshOiaSgtIHXc0u58Zx0q0sanoAQiJsGlbvNIUwPCzPHs9lspISnkBKewsWTLgagvbudXdW7+gJOVS7lzeUU1RZRVFvEC3teACAyMNLZdzM7fjY5cTlEBEZY+eOIiC/b09svk2n+XcbZt5hhZtfrUH8UolItK80KCjMudvW8VApKC3lpW4nnhRkwp5ocYWbaRVZXM+qC/IKYkzCHOQlznI8daz5mNhL3BpzC6kIaOhr4sORDPiz5EAAbNqaMm2IGnDgz5EyOmozfKO3HIyJyQh0tcGCDeX/aJebHxCxI/xwc/AA2Pw4X/qdl5VlBYcbFLp+dwpp/7mLHkToOVDYxOT7c6pKGJykH8p53yyZgV0kMS2RF2ApWTFwBQGd3J3tq97Cjcocz4JQ0lbCvbh/76vaxdu9awFxSPjNupjPc5MTlEBsSa+WPIiLeqPh96GqDyFRzCw2Hhd81w8zWJ2HJHT61TFthxsXiI4L4XEYcG4oq+cf2En68MtPqkoYnKcf8WHb6ZzR5mwC/ALLjssmOy+aGGTcAUNVaRV6leahmXlUeeVV5NHc282nZp3xa9qnza1PDUwdMT2VGZ+pYBhEZmf5TTP17+TIvgagJUH8Y8l8yVzb5CIWZMXD1vFQ2FFWytvesJrvdgxpJHSuaaouhrQGCI62tx03EhcSxbMIylk1YBkB3Tzf76vY5p6dyK3M5UH+Ao01HOdp0lH8W/xPoO5YhJz7HDDhx2thPRIbBMPqafx1TTA52Pzj7W7D+V2Yj8Jwb3HoV6mhSmBkDK7MSCQ/y52htK1sO1XL2JA/aETgsFiLHQ0MJHMv3yS750+Fn9yMzJpPMmEy+NO1LADR0NJgb+/WGG8ehmscfyxAfEu8cvZkVN4us2CwtDReRoZXthMZSCAiD9PMGf37ujfDe3WZrwOFPYOI5Y1+jBRRmxkBwgB+XzEziha1HWbvtqGeFGTBHZxpKzP85FGZOW2RgJItTFrM4xXzNHMcyOPpu8qry2FOzh8rWSt45/A7vHH4HAD+bHxnRGc7em1nxs5gYORG7zW7ljyMi7sAxKjNlGQQMsZt5aAzMuha2PdW7TFthRkbR1fNSeWHrUd7IK2P15dkEB3jQqpekHHOnyXLf7ZsZDf2PZbhsymWAubGfY2l4bpUZcipaKthds5vdNbt5fs/zgBmMcuJzmB03m5z4HHLicogKirLyxxERKzh2/T3Z6tKFt5hhZtdrUF8CUePHpjYLKcyMkYWTYhg/LoSSulbe2VXBpbM8aM8WNQG7TIh/CPMS5zEvcZ7zsfLmcvKq8pzTUwXVBTR0NPBRyUd8VPKR87r0yPQBS8MzojPwt+t/aRGv1VAGpdvN+xknCTOJ2X3LtLc8Dst/NTb1WUh/840Ru93GlXNTeOi9/azddtSzwkxybxNw5W7o6gB/D9vJ2MMkhSWRFJbUtzS8x1wanluZS15lHrlVuRxqOMTBhoMcbDjIq/tfBSDYL9hsLo7LcU5PJYYmqrlYxFvsXWd+HD8fIhJPfu3CW/qWaZ9/x9BTUl5EYWYMXTU3lYfe28/GPZVUN7UTGx5kdUmnZ9xECIqC9nqoKuobqZExEWAPIDs2m+zYbL4y/SsA1LbVOkdv8qryyKvMo7GzkW0V29hWsc35tY7mYkfAyY7NVnOxiKdyLMmedvGpr512CUSlQf2R3mXaN7i2NospzIyhqQnhzEqNIvdoPa/tLOXr506yuqTTY7OZAebQh2YTsMKM5aKDozk/9XzOTz0fgB6jh4MNB8mrzHOGnD21g5uL7TY7U8dN7Ru9iZvFpKhJ2rlYxN11tsL+98z7pxNm/PzhrG/B2//Zu0z7eq9epq0wM8aunjue3KP1rN1e4jlhBgaGGXE7dpudyVGTmRw1mSumXgEMbi7Oq8qjvLmcPbV72FO7h5f2vgT07lwcO9M5gpMTn0NcSJyVP46IHK/4A+hqNbfKON1/UM77Gmy421y8ceRTmLDItTVaSGFmjF02O4Vfv7GL3KP17KtoYmqChxxvoCZgjzNUc3FFS4Wz7yavKo/8qnxz5+LyT/m0vG/n4pSwlAHTUzNiZxDk5yHToiLeqP8qptMdYXEu0/6LOTqjMCOjJTY8iCXT4nlndwUvbz/KTy+abnVJp8fRBFyeZ+5A6cXDld4sITSB5ROXs3zicgC6errYX7d/QP/N/rr9lDaXUtpcypsHzTl6f7s/mdGZA5qLJ0RMUHOxyFg42a6/p3L2LWaYKXzVq5dp2wzDMKwuwpUaGhqIioqivr6eyEj32Ir/jdwybntmG+PHhfDBHcs843iDrg5YkwI9nXD7TohOt7oicZGmjiYKqgv6pqcq86huqx50XVRQlPNgzZw4c++bccHjxr5gEW9XlguPfA4CQuGO4uGvTHriUrNN4HM/geX/4ZoaXWA4v781MmOB5TMSiAj2p6SulU+LazhnigecrOwfCAkzzLnX8jyFGS8WHhjOwuSFLExeCJg7F5c2lzqnp3Irc9lVvYv69vpBe9+kRaQ5R29mxs1kesx0TU+JjJRjFdPkpWe2xHrhd8wws/VJOP+nXrlMW2HGAsEBfnxhVjLPfnaEtduOekaYAfNYg/Jc818JMy6zuhoZIzabjfHh4xkfPp6LJ5mrKDq7e/e+6R25yavK42DDQY40HuFI4xHnwZrHT0/NjJupoxlEhms4S7KHknkpRKZCw1EoWGuubPIymmayyGfFNVz7yMeEB/mz+ZcXEhLoAUtjP30E/nWHOWd7/XNWVyNupr69noKqAnKrcsmvyievKo+atppB10UERjAzdqZ5cnicGXBiQzwk0IuMtcZj8Ntp5v1/K4KIpDN7ng/uh3fuguTZ8J2NHtH3qGkmD7BgYjSp0SEcrW1l/a5jXD47xeqSTs2xoknLs2UIUUFRLB6/mMXj+w7W7D89lV+VT2F1IY0djXxc9jEfl33s/Nrx4ePJicsxe3DiZzEjZgbB/t43FC4ybHt7G39T5p55kAGYdxNsvNc8dfvIZzBh4ejU5yYUZixit9u4eu54/u/dfazddtQzwkziTPNjw1FoqTGX/YmcwJDTUz2d7K3dS35VvnP1VHF9MSVNJZQ0lThXT/nZ/JgWPW1AwJkUNUnTU+J7znQV0/HCYiHnS7D96d5l2t4VZjTNZKHiqmaW/c8G/Ow2PrlzOfERHtAo+bs5UFsMX3vFbEYTGaHGjkYKqgucvTd5VXlUtVYNus6xuV9OfI5zFVV8aLwFFYuMkc42uG8SdLaYU0Mpc0b2fOV58MfzwO4Pq/Ig0r3/Ea1pJg8xKS6MOWnj2HGkjld3lnLzeR6wI3BSjhlmynIVZmRURARGsCh5EYuSzQ29DMPgWMuxvnOnqvIorC4ccnO/pLAk5+hNTlwOWbFZhAWEWfWjiIyugx+YQSYixex1GamkHJh4Lhz6CLb8GS7495E/p5tQmLHYNfPGs+NIHWu3HfWMMJM8C3a9qr4ZcRmbzeY8OXxl+kpg4OZ+jg3+9tftp7y5nPLmctYfWm9+LTamjJviDDc5cTlMjZ5KgD3Ayh9J5Mw4VzENY9ffUzn7O71h5glzmba/B8wInAaFGYt9YVYK//V6IQWlDRSVN5KZFGF1SSeX1G8nYJEx4m/3JzMmk8yYTL447YsANHc2U1hd6DyWwXH21L66feyr28c/9v0DgCC/IGbEzHAGnJlxM0mLSNPuxeLeDAOKRrgkeyjTv2Ce79RQAvlrYc5XRu+5LaQwY7HosECWZSawrvAYa7cf5c5LZlhd0sk5VjRV7TFPcQ0IsbYe8VlhAWGclXQWZyWd5XyssqXSGWzyq/LJr86nsaORHZU72FG5w3ldVFAUM2NnDgg4Wh4ubuVYgbnYwj8EJi8Zvef184ezboZ3/stsBJ59nUcs0z4VhRk3cPW88awrPMYr20u546Lp+Lnz8QYRyRAaBy1VUFEI4+dbXZGIU3xoPMsmLGPZhGUA9Bg9HG443BduqvLZVdO7e3HpR3xU2rd7cUpYyoBwkxWbRWhAqFU/ivg6x8GSk5eO/j8a530dNtwLZTvg6GZIO3t0n98CCjNuYNn0BKJCAihvaOOTA9WcOzXO6pJOzGYzR2cOvGc2ASvMiBuz2+ykR6WTHpXOZVPMXasduxc7+m/yq/Ipri92Hq657tA659dOGTdlQIPx1HFT8bfrr00ZA0X9+mVGm2OZ9o6/mqMzCjMyGoL8zeMN/vbpYV7adtS9wwyYTcAH3lPfjHikAL8AsuOyyY7L5jquA8zl4YXVhc7Rm7yqPI61HGNv7V721u5l7d61AAT7BTMjdmD/TWp4qvpvZHQ1VUDJVvO+K8IMmOc17fgrFL4CDWUQmeya7zNGLA0zDz/8MA8//DAHDx4EIDs7m1/96ldccom5OZBhGNx11108+uij1NbWsnDhQh566CGys7MtrNo1rp43nr99epg388v59ZVdhAa6cc50NgHnWluHyCiJCIwYcLgmQEVLxYBwk1+VT1NnE9srtrO9YrvzunFB48iOyzbDTexMsuOyiQtx83+QiHvbuw4wzOXYrtoLJnk2TFgMhzf1LtP+pWu+zxix9Ddmamoq99xzD1OnTgXgqaee4oorrmD79u1kZ2dz3333cf/99/Pkk08ybdo0fv3rX7NixQqKioqIiHDzVT/DNG9CNBNjQzlU3cK6gmNcOXe81SWdmKMJ+FgB9HSD3QPOlRIZpoTQBC6YcAEXTLgAMPtvDjUcGhBudtfspq69btDp4clhycyMm0l2bLbzY3hguFU/iniaot5+mZHu+nsqC79jhpmtT8D5P/HoZdqnvQPwN7/5TX73u9+5PETExMTwm9/8hm9+85ukpKSwatUqfvaznwHQ3t5OYmIi9957L7fccstpPZ877wB8vAfe3sMDb+/lcxlxPH2zG2813dMNa8ZDVyt8fwvEZVhdkYglOro7KKopIr/aHMEpqCrgQP0BDAb+tWrDRnpUunMF1cy4mWTGZBLk57m/PMRFutrh3knQ2Qzf2WCeyeQq3Z3wu9nmMu2rHjFXNrmR4fz+Pu0w4+fnR1lZGQkJCaNS5PG6u7t54YUXuOmmm9i+fTvBwcFMmTKFbdu2MXdu33/MK664gnHjxvHUU08N+Tzt7e20t7c7/9zQ0EBaWppHhJlD1c0s+c0G7Db45M7lJES68UF7jy2Hki1wzeOQ80WrqxFxG00dTeyq2eUcwSmoKqC0uXTQdf52f6ZFTxsQcCZHTcZPI52+bd/b8NdrIDwJfrwL7C4+j+z9/4F3/58Zmr79nlst03bJcQauOsIpLy+Pc845h7a2NsLDw3n55ZfJyspi06ZNACQmJg64PjExkUOHDp3w+e6++27uuusul9TqahNjw1gwMZoth2p5ZUcp3z5/stUlnVjyLDPMlOcpzIj0Ex4YPmj/m+rWagqqC5w9OPlV+dS211JYXUhhdSHP73kegBD/kAEb/GXHZavB2Nf0X8Xk6iADMP/rsPE+KN0OR7dA2lmn/BJ3NKyeGVf8D5WZmcmOHTuoq6vjpZde4qabbmLjxo0n/J6GYZy0jjvvvJMf//jHzj87RmY8xVXzxrPlUC0vbTvq3mHG0TejJmCRU4oNieX81PM5P/V8wPx7rLS5dEC4KaguoLWrlW0V29hWsc35tY4G4/4jOGow9lKG0XdKdqaL+2UcwuLMf5Du+FvvMm0fCDPTpk07ZaCpqakZVgGBgYHOBuAFCxawefNmfve73zn7ZMrLy0lO7lsyVlFRMWi0pr+goCCCgjx3HvoLOSnc9Wohu8sbKSxtICvFTafGHCuaynZCexMEqblR5HTZbDbGh49nfPh4Lko3l95293RTXF/s7L/Jr8qnqLZoyAbjpLCkAeEmKzaLiEDvWhThkyoKof4w+AfDpFHc9fdUzv6OGWYK/wENv/bIZdrDCjN33XUXUVFRrqoFMP/F0t7ezqRJk0hKSmL9+vXOnpmOjg42btzIvffe69IarBQVGsDyGQn8K7+cl7cfJSsly+qShpaYDSHR0FINT34ern8eIpKsrkrEY/nZ/ZgaPZWp0VO5cuqVwOAGY8cGf44DNt8+/Lbz69Mj0weM4GTGZBLir+NGPIrjYMlJSyBwDHefTpkDaYvgyCfmyqZlvxi77z1KhhVmrrvuulFtAP7FL37BJZdcQlpaGo2NjTz33HNs2LCBN998E5vNxqpVq1izZg0ZGRlkZGSwZs0aQkNDuf7660etBnd01dzx/Cu/nFd2lPLzS2a45/EGASFmgHn2K+bozGPL4YbnzZAjIqMi0C+QnPgccuJznI85Gowdy8MdDcYHGw5ysOEgbxx4AwA/m5/zBHHHEvGMcRkE+OkEcbfl6JfJHMWDJU/XwlvMMLPlCfjcv3ncMu3TDjOu6Jc5duwYN954I2VlZURFRTFr1izefPNNVqxYAcAdd9xBa2srt956q3PTvHXr1nndHjPHW5qZQHRoABWN7Xy0r4rzp8VbXdLQ0s6Gb70Nf/sSVO+Fxy+Ca5+CqcutrkzEa52swbiguoCCKrPRuLqtmj21e9hTu8e5g3GgPZDMmMwB+99MipqkFVTuoKnSPCcJIMNFu/6ezIzLICIFGkuh4B8w+8tjX8MInPbSbLvdTnl5ucuWZruKJ+0z09+vXsnnLx8f4so5KTxwnQv3GRgNLTXw9xvh0Idg84Mv3G92yIuIJQzD4FjLMTPYVPc1GDd2NA66NtQ/1DyioXf34pmxM0mN0AqqMbfjGfjH98x+xO9+YE0N7/8G3v01pMyD77xnTQ39uGSfGU/lqWFm++FarvrDJkIC/Njy7xcSFuTGxxuAudHTqz+E3OfMP5+7Cpb/59gsLRSRUzIMgyONR8zem2pzempXzS5au1oHXRsVFEV2bLZ56w04iWEnXngho+DvN8KuV+H8O6w7WqC5Cu7Pgu52+NY7kLrAmjp6uWSfGRlbc9LGMTkujANVzbyZX84181OtLunk/IPgqj9CzCTYcDd89ADUHjQfG+3j60Vk2Gw2GxMiJzAhcgKfn/x5wFxBdaD+gHPkpqCqgKLaIurb69lUuolNpZucXx8fEt8XbnqnqKKDo636cbxLVzvsf9e8b0W/jENYHMy8BnY+Yy7TTv2TdbUMk0Zm3Njv39nLb9fv4dypsfztW4usLuf07XwOXvk+9HRC6tnwlWfN/0lExO11dHewt3avM+DkV+ezv24/PUbPoGvHh48f0H8zI3aGloifif3vwtNXQXgi/Hi3tSPapdvh0aVgD4Af5Vu6SlUjM17iyrnj+e36PWzaX01ZfSvJUR4ywjH7OogcD3+/AY5+Bn9aDje8qDOcRDxAoF8g2XHmCIxDS2cLu2t2O3cxLqgu4FDDIUqaSihpKmHdoXXOax1LxB3TVNNjphMaMIbLjD2RYxVTxkrrp+ZT5kLaQjjyqbmyadmd1tZzmjQy4+aufeRjPiuu4eeXTOe7S6ZYXc7wVO6Bv30R6g5B8Di47m+Qfp7VVYnIKGjoaKCwupD8qnwKqwtPeAaV3WZnctRk5xRVdmy2DtnszzDgd7Og7jBc9wxMv9TqiiD/JXjxmxCWAD8qAP9AS8pQA3A/nh5mnvvsMD9fm8e0xHDeWnW+560waKqE575iLjm0B8AVD3nckj8ROT01bTUUVBU4l4kXVhVS0Vox6Dp/mz8Z0RlkxWY5G4ynRk8lwO6De+BU7II/LAK/IPhZMQSGWV2ReZr2AznQWAZXPwazrrWkDIWZfjw9zDS0dbLg12/T0dXD6z84j5njXbsDs0t0tsLLt0DhK+afl94JS37mVqeziohrVLRUDAg4BVUF1LbXDrrOsQdOVmzWgD1w/O1e3g3xwf3wzl0wdQV89UWrq+mz8Tfw3q9h/Hz49ruWlKAw04+nhxmA257Zxhu5ZXzz3En86jI3Pd7gVHp64J3V8NHvzD/P/gpc9n+WDV+KiDUMw6CsucwZbBwhZ6g9cEL8Q5geM33AFNXEyInYbV605cPjF5k77176WzjrW1ZX06epEv43C7o7LFumrTDTjzeEmXd2HePmp7YQFx7EJ3degL+fB/+PvOUJeOPfwOiG9M/Bl582z3gSEZ/l2AOnf8AprC6kpatl0LVhAWHm9FS/gJMa7qGb/DVXw/9MBaMHVuXDuDSrKxro5e/Czmch51q45rEx//YKM/14Q5jp7O5h0Zp3qG7u4IlvnMWyTM/ahXmQfW/D81+HjkaIzYAbXjD3pxER6dXd082hhkMDpqd21+ymrbtt0LWRgZHOcOMIOslhye4fcHY8C//4LiTmwPc+tLqawQYs0y6AiLHdOFFLs71MgJ+dy2an8OSmg6zdVuL5YWbqhfDNN+GZa80znf50IXzlOUg769RfKyI+wc/ux+Rxk5k8bjKXTbkMgK6eLvbX7TdXT/UuEy+qLaKho4GPyz7m47KPnV8fHRRNVpwZbBwBJzE00b0Czh4LD5Y8HSlzzb3Cjn5mnqa99OdWV3RCGpnxELlH67j8wY8I8rez5d8vJCLYC7r+G8rMQFOeC/7BcNUjkH2l1VWJiAfp6O5gb91e5/LwwupC9tbupcvoGnRtbHDsgD1wsmKziA+16CDfrg64b7I5Qu0GRwecUN6L8NLN5oZ+q/LHtM9R00z9eEuYMQyDFf/7Pvsqmrjvi7O4doGbza2eqfYm838Ux79QVvwXLP6hVjqJyBlr725nT80eZ+9NQXUB++v20210D7o2ISTBOYLjCDixIbGuL3L/e/D0leZeLv9WZP1meSfS3Qn/OxOayuHqP8GsL43Zt9Y0kxey2WxcNXc8v3mriLXbjnpPmAkKNzeKevPn8NmjsP5XUFMMn/8f8NPbU0SGL8gviJz4HHLic5yPtXa1UlRT5Aw4hdWFHKg/QEVrBRVHKthwZIPz2qSwpL6DNnsDzrjgcaNb5J63zI/T3GDX35PxC4Czbob3/ts8r2kMw8xwaGTGg5TUtXLeve9iGPDhz5aRGu1lW4R/8jC8eSdgwJTl8KUnIdiz/5uJiPvqf0yDI+QcrD+IweBfi+PDxw9YRTUjZgZRQWe475dhwP/NMQ/j/fJfYcZlI/o5XK6pAv43u3eZ9ruQOn9Mvq2mmfrxpjAD8JVHP+HjA9X89KJMbls21epyRt/uN+DFm6GrFRKy4YbnIcrNTwwXEa/R1NHErppdzh6cguoCDjceHvLaCRETnAEnKzbr9A/arCyCh84Gv0C4o9gcoXZ3a2+B3Odg1pfh6kfH5FsqzPTjbWHm+S1HuOPFXKbEh/H2j5e4V2f+aCnZBs98GZorIDwJrv87pMyxuioR8VENHQ3sqt41YB+ckqaSIa9Nj0xnRuyMvoATM4PwwOPCyocPwNv/aa7s/OpLrv8BRkPJVnjsgjFdpq0w04+3hZnGtk7O+u+3aevs4dXvn8us1HFWl+QadYfhb9dC5S4ICIMv/tl9ly+KiM+pa6ujsKZvBVVhdeGQB23asDExcqK5B06MeRbVjDfuJPTwp2Zv4NnftqD6M/SnC81z9pb+Apb+zOXfTmGmH28LMwA/fHY7r+4s5euL01l9ebbV5bhOWz08/zU4sAFsdrj4Xlj4HaurEhEZUk1bjXMEx7GKqry5fNB1NsNgUmcXWZNXkp18NlmxWUyPmU5ogJv3Qea+AGu/ZY6Yr8pz+TJthZl+vDHMvFdUwTee2ExsWCCf/GI5AZ58vMGpdHfC6z+C7U+bf150K6z8Ndj9rK1LROQ0VLdWO0duCqoLKCzfwrHOwedQ2W12JkVOGrCLcWZMJiH+IRZUfQJdHfDATGg6Btc8DjlfdOm3U5jpxxvDTFd3D4vufpeqpnYev2kBy2eM7RbTY84w4MP74Z3/Mv+ceal5TkhgmLV1iYgM1wtfp2rXKxTOu46CtFlm0KkqpKK1YtCldpudyVGTBzQZWx5wNtwLG9ZA6lnwrbdd+q0UZvrxxjAD8P9eL+TxD4u5NCeZh26YZ3U5YyP/JXj5e9Ddbm6z/ZW/j/lZISIiZ6y709z1t70Bbn57wBEulS2VA0ZwCqoLqGqtGvQUfjbzmIf+xzRMi55GsH/w2PwMjcfMZdo9nfDtd2G865ZpK8z0461hZseROq586CMig/3Z8auV2O1euKppKIc/gWe/Aq01EJUG1z8PiVlWVyUicmoHNsJfLofQOPjJnlNOl1e0VPRNT/UuFa9uqx50nZ/Nj6njpg4YwZkWM40gvyDX/BxrvwO5f4dZ18HVj7jme6AwM4C3hpnO7h5mrV5Ha2c3b606n8yk09jbwFtU74e/fQlq9kNQJFz+e53pJCLu78074ZM/wJwb4Mo/DPvLDcPgWMuxgT041YXUtNUMutbf5s/U6OMCTvQ0Av1GoWn36Fb40wXmPjk/KoBw1xx+rOMMfECAn505aeP4+EA1Ww7V+FaYiZ1iztX+/atw6CN44SY4+C1Y+d8QMEZDrSIiw2EYUPQv8/60M9tmwmazkRSWRFJYEhdMuKD3ac2A49gDp7DG7MGpba9ld81udtfsZu3etYAZcDKiM8iKzXKGnIzojOEHnNT5MH4BlGyBrU/CkjvO6OcZTRqZ8WC/XVfE79/dx9Vzx3P/l+dYXc7Y6+6Ed/8ffPQ7889JOfClp8ywIyLiTir3wENn9e76ewCCXPcPUMMwKG8uHzhFVV1AXXvdoGv97f5kjDMDjmMl1bRx0wjwCzj5N8l9HtZ+26XLtDUy4yPmT4wGYOvhWosrsYhfgHnKdvrn4OVboDwPHjkfLvudy5cMiogMy543zY/p57k0yIA5gpMcnkxyeDLLJy4HzIBT1lw24KDNguoC6tvr2VWzi101u3hpr7kbsb/dn2nR0wZMUWWMyxgYcLKuhHX/bp6mvetVy//O1ciMB2to62T2XeswDNj8ywuJj3BRs5cnaCiFl75lTjsBzPuaucleoJtvQiUivuGJz5t/P13yG7fZ/NMwDEqbSwfsYlxQXUBDR8OgawPsAYMCztSdLxHw/m8g9Wz41vpRr08NwP14c5gBuPiB99ld3sgfvzqPi2cmW12Otbq7YOO98P5vAAMSssyTt+Mzra5MRHxZSw38ZioY3XB7LkRPtLqiEzIMg5KmkkEjOI0dgzf6C7AHkNnaTFZ7O7MX/ILLzxndkKZpJh8yf2I0u8sb2XKwVmHGzx8u+CVMXGwuHawohEeXwqW/hTnXW12diPiqfe+YQSYhy62DDJhTVKkRqaRGpHJR+kWAGXCONh0dEHAKqwtp7GgkPyiQ/KBA6nb8bdTDzHAozHi4BenR/O3Tw2w55KN9M0OZsgy++6HZnFa8Ef7xPSh+3zzULSj81F8vIjKa9jhWMV1kbR1nyGazkRaRRlpEGhenmyuxenp6uPmZtzh8+F9khO/gkvNusbRGLz7UxzcsmBgDQEFpPW2d3RZX40YiEuHGl2HZv5uHVO58Fh5bBuX5VlcmIr6kuxP29m77P+0Sa2sZRY+8X8x7+T0cbr6Yb1/xChfOs3b0W2HGw6VGh5AQEURnt8HOI3VWl+Ne7H6w5Kdw0+sQkQxVe+BPy2HLE+aeDyIirnb4E2ivh9BYSF1gdTWjYuOeSu57azcAqy/Pdq6stZLCjIez2WwsSDffSJpqOoH0c81pp6kroKsNXl8FL90MbYM79kVERpVjSXbGylMeX+AJDle38MNnt2MYcN1ZaVx/9gSrSwIUZrzC/N6ppq0KMycWFmee47Tiv8DmZx5a+egSKN1hdWUi4s1GuOuvO2np6OI7T2+hvrWTOWnjuOuKbGw29zgXUGHGCyxwbJ53qJaeHk2fnJDdDufeDt980zyksuYAPL4CPn1U004iMvqq9plnyNkDYMoFVlczIoZh8POX8thd3khceBB//Op8gvzdZ6RJYcYLZKVEEhLgR31rJ/srm6wux/2lnQ23vA+Zn4fuDvjXT+H5G6G1zurKRMSbOFYxpZ8LwZ69z9njHxbz6s5S/O02/nDDPJKi3OscPIUZLxDgZ2d2WhSgvpnTFhoD1z0DF99j/qtp12vwyOfg6BarKxMRb7HnLfOjh69i2rSvirv/ZTb8/scXsjh7UozFFQ2mMOMlHEu0txxUmDltNhss+h7cvA6i06HuMPz5Itj0e007icjItNbCoU3mfQ/dXwbgaG0L3392O909BtfMS+Vr57jnpn8KM15ifrqjb6bG4ko80Ph55rRT1hXQ02UenvbsdeYW5CIiZ8Kx62/8dIiZZHU1Z6Sts5vv/nUrNc0dzBwfyX9fNdNtGn6PpzDjJeZNiMZmg4PVLVQ2tltdjucJjoIvPWUefeAXZC6n/ON55h4RIiLD5ViS7aGrmAzD4Bcv55Ff0kBMWCB//Op8ggPcp+H3eAozXiIqJIBpCeax8lqifYZsNjjrW/CttyFmCjSUmCfdfvBb6OmxujoR8RTdXbC39xRpDw0zf/n4EGu3leBnt/Hg9XNJjQ61uqSTUpjxIppqGiXJs+CWjZDzJXOY+J3/gr9dA02VVlcmIp7gyCfQVgchMebqSQ/z6YFq/t/rhQDcecl0Fk+Js7iiU1OY8SKO/Wa0omkUBEXA1Y/B5b8H/xDY/6457VT8gdWViYi78+Bdf8vqW7ntmW109RhcMSeFm8/zjH4fhRkv4ljRlF+iQydHhc0G874G334X4jKhqRz+cjlsuAd69PqKyAkUOfplPGsVU3tXN9/96zaqmjqYkRzJPVfPctuG3+MpzHiRtJgQ4nsPncw9Wm91Od4jMQu+8x7M+SoYPbDhbvjLFdBYbnVlIuJuqvdD9V6w+8PU5VZXc9oMw+BX/yhg55E6xoUG8OiN8wkJ9JxRJYUZL2Kz2fpNNalvZlQFhsGVD8FVj0BAGBz8AB4+11x+KSLi4JhimniuuUrSQzzz2WH+vuUIdhv833VzSYtx74bf4ynMeBnHUexbtXmea8y+Dr6zARJnQksV/PUaeG2V9qQREZMHHiy59VAtq18tAOCnF03n/GnxFlc0fAozXmZBeu8J2od16KTLxE8zl28v+CZgwNYn4PfzYOuTWsIt4sta6+Dwx+b9TM8IMxUNbXzvr1vp7Db4fE4S310y2eqSzojCjJfJTokkOMBOXUsnB6p06KTLBITAF/4Xvv5PSMgyty5/7XZ4/EIo2WZ1dSJihf3vmLuIx02DGPcPBR1dPXzvb9uoaGxnWmI4v/nibI9p+D2ewoyXCfCzMzt1HKBzmsZE+rnmUQgX3Q2BEVCyFR67QFNPIr6oyLN2/f2v1wvYeqiWiGB/Hr1xAWFB/laXdMYUZrzQfO03M7b8AuCcW+EHW2DWl9HUk4gP6u6Cfb27/ma6/ynZz28+wl8/OYzNBr+7bg7pcWFWlzQiCjNeaIFzJ2CFmTEVkQRXPzp46ulPy80RGxHxXkc/M/+fDx4Hqe696++OI3X8+z/yAfjxhdO4YHqixRWNnMKMF5o3wQwzxVXNVDXp0Mkxd/zUU+k2eGy5GWw09STinRyrmDJWgp/7TtdUNrbz3ae30tHdw8qsRG5bNtXqkkaFwowXGhcaSEZCOKDRGcsMOfX0pKaeRLzVnrfMj268iqmzu4fbntlGeUMbU+LD+O21s7HbPbPh93gKM15KU01uYsDUU7amnkS8Uc0BqCoyd/2d4r67/v73G7v4rLiG8CB/HrlxARHBAVaXNGoUZrzU/N5zmrYc1LSGW3BMPV18DwRFaupJxJs4VjFNOAdCxllayoms3XaUJzcdBOD+a2cztXf03lsozHgpx7EG+SUNOnTSXfj5w6Lvwfe3wKzrGDD1tOUJTT2JeCrHEQZuuoopv6SeO9fmAfDDC6ayMjvJ4opGn8KMl5oYG0pceCAd3T3klejQSbcSkQhXPzJw6un1VZp6EvFEbfVw6CPzvhvuL1PT3MEtT2+lvauHZZnxrLpwmtUluYTCjJey2Wx9+81o8zz3pKknEc+3/11z19/YDIidYnU1A3R19/D9Z7ZRUtdKemwoD1w312safo+nMOPFFvT2zWzVCdru65RTT5oiFHFrzl1/L7K2jiHc91YRm/ZXExrox6NfW0BUiPc0/B5PYcaLze+3oskwdOikW3NMPX3jX5p6EnF3hgEHNsLfvwp5L5iPuVm/zKs7S3n0/QMA/M+XZjMtMcLiilxLYcaLzUyJIsjfTm1LJweqmq0uR07HxMXHTT1t19STiLtoq4dPH4GHzoa/XA67XgOjG2ZeY65kchO7yhq448WdAHxv6RQ+n5NscUWuZ2mYufvuuznrrLOIiIggISGBK6+8kqKiogHXGIbB6tWrSUlJISQkhKVLl1JQUGBRxZ4l0L/v0Mmt6pvxHJp6EnEvxwrg9R/Bb2fAv+6Aqj0QGA5nfQtu/QS++Gew+1ldJQB1LWbDb1tnD5/LiOMnKzOtLmlMWBpmNm7cyG233cYnn3zC+vXr6erqYuXKlTQ3940i3Hfffdx///08+OCDbN68maSkJFasWEFjY6OFlXsOx1TTFvXNeB5NPYlYp6sD8l+CP18CDy+GLX+GzmaInw6f/x/4t91w6W8hYYbVlTp19xj88LkdHK5pIS0mhN9/ZS5+Xtrwezyb4UbNFJWVlSQkJLBx40bOP/98DMMgJSWFVatW8bOf/QyA9vZ2EhMTuffee7nlllsGPUd7ezvt7X3nETU0NJCWlkZ9fT2RkZFj9rO4i3d2HePmp7YwOT6Md/9tqdXlyJnq7oLNf4L3/hvaGwAbzPsaLP9PCIu1ujoR79FQao6AbnsKmo6Zj9n8YMYX4KxvQ/p5YHPPgHDfm7v5w4b9BAfYWfu9c8lK8ezfeQ0NDURFRZ3W72+36pmprzf3Q4mJMVfhFBcXU15ezsqVK53XBAUFsWTJEjZt2jTkc9x9991ERUU5b2lpaa4v3I05lmcfqGymprnD4mrkjPn5w6LvmlNPs78CGOZftg/Ohw/uVz+NyEgYBhS/D3+/Ef53Jrx/nxlkwpNgyc/hR/lw7V9g0ufcNsj8K6+MP2zYD8C918zy+CAzXG4TZgzD4Mc//jHnnXceM2fOBKC8vByAxMSBx5MnJiY6P3e8O++8k/r6euftyJEjri3czY0LDXRuW61zmrxARCJc9Uf4xpuQONOcenrnLvjfbHj9x1C5x+oKRTxHWwN8+ig8tBCeugx2vWo29E48D774hBlilt0JkSlWV3pSe4418m8vmA2/3/7cJK6YM97iisae25xT/v3vf5/c3Fw+/PDDQZ+zHZeEDcMY9JhDUFAQQUFBLqnRUy2YGM2+iia2HKphRVbiqb9A3N/Ec+A7G81loZ88BOV5sOVx8zZ1hXli9+RlbvuvSBFLHSuEzY/Bzr+bfTBgNvTO+rLZ1JuYZW19w1Df2sktT2+lpaObxVNi+dnF060uyRJuEWZ+8IMf8Oqrr/L++++TmprqfDwpyTw/ory8nOTkvqVlFRUVg0Zr5MTmT4zmuc1HtKLJ2/j5w5yvwOzr4OCH8MnDUPRP2LfevMXPMFdFzboWAkKsrlbEWt2d5lLqzX/qO34AIC4Tzv62GWSCPW9q5q7XCiiuamb8OLPh19/PbSZcxpSlYcYwDH7wgx/w8ssvs2HDBiZNmjTg85MmTSIpKYn169czd+5cADo6Oti4cSP33nuvFSV7pAXpZg9Sbkk97V3dBPm7xxJCGSU2mzmXP+lzUL0fPnsUtv8VKnfBaz80p6EWfNP8F2eE9x0wJ3JSDaXm1gZbnxzY0Dv9UjPEpLtvH8ypNLR18npuGQC/u24OseG+OythaZi57bbbeOaZZ3jllVeIiIhw9sFERUUREhKCzWZj1apVrFmzhoyMDDIyMlizZg2hoaFcf/31VpbuUdJjQ4kNC6S6uYP8knrm9x5zIF4odgpcci8s+wVse9rc4Kv+MLz/G/jwAXNzr0Xfg5Q5Vlcq4jqGAQc/MEdhdr1u9sEAhCfC/K+bNzfvgzkdb+WX09HVQ0ZCuHOxh6+yNMw8/PDDACxdunTA40888QRf//rXAbjjjjtobW3l1ltvpba2loULF7Ju3ToiIrx7a+bR5Dh0cl3hMbYcrFWY8QXBUbD4+7Dwu1D0Bnz8BzjyCeQ+Z94mnmuGmszPu81mXyIj1tYAuX83Q0zl7r7HJyyGs78F0y8D/0Dr6htlr+4sBeCKOSkn7CP1FW61z4wrDGedujd79P39rPnnblZkJfLY1xZYXY5YoWQrfPJHKFhrnvILMG6iGXjmftUj+wVEAKjYBZ89ZgaZjibzsYAwmO1o6M22tj4XqGhsY9Gad+gxYONPlzIxNszqkkbdcH5/u0UDsLieYzRmW++hk76e4n3S+PlwzWOw4i7zX65b/gx1h+CtO+G9NTDvRlh4C0SnW12pyKnVHzWnkAr/AYc/7ns8bpoZYGZfZ45Qeql/5pbRY8CctHFeGWSGS2HGR8wcH0mgv53q5g6Kq5qZHB9udUlilcgUWP4r+NxPzH/JfvIwVBXBJ3+AT/9oTj2dc5t5cJ5Cr7iTqr3miqRdr0Hptr7HbX4w/fPmDr2TzveJ9+0r/aaYRGHGZwT5+zE7NYrNB2vZcqhWYUYgMBQWfAPm3QQH3jX7ava/A7tfN2/Js2HRbZB9lVf1GYgHMQwoz+0LMP37YLCZgXvGZZB1BUT5zkZxh6tb2H64DrsNLp3l/Sdinw6FGR8yf2IMmw/WsvVgLdcu8O1jHqQfux2mXmjeKnbDpw/DzuegbCe8/B1Y/x/mv3gXfFPnQInr9XTDkc/M8LL7Nag73Pc5e4A58jLjMnNpdXiCdXVa6LVcc1Rm8ZQ4EiKCLa7GPSjM+JAFE3WCtpxCwnS47HfmAZZb/mw2VTaVw3u/hg/+x9xYbNH33OqkYPECXR3mUupdr8HuN6C5ou9z/iGQcSHMuBwyVkLIOMvKdBev7CgB4HJNMTkpzPgQxz4E+yubqW3uIDpMUwdyAqExcP5PYPEPzQbLjx+Csh3m4ZbbnjKPSjjnNpiy3BzZERmujhZzWnPXa7DnTWir7/tcUBRkXmyOwExZbk6JCgC7yxvYc6yJQD87F2VrE0wHhRkfEh0WyJT4MPZXNrP1UC0X6pwmORX/QPM4hJwvwZFPzVCz+3U48J55i5sGc66HKRdAYo6CjZxcax3sXWce6Lj3behq7ftcWII5dTTjMnNXXvVpDemVHeYU07Lp8USFBFhcjftQmPExCybGsL+ymS0KMzIcNhtMWGTeag+ZRyZs+wtU7YG3V5u30DiYvNQMNlOWecUOqzIKmirMqaNdr0Hx+9DT2fe5cRPM6aPpX4C0s7WB4ykYhsGrOxyrmHyn4fl0KMz4mPnp0fx9yxG2qm9GzlT0RLjov2Hpz82l3XvXQ/EH0FIF+S+aN4D46WawmbwM0s+FQO2F4TPqDpt7wOx6rXcPmH57s8ZPN0dfZlwGSbN8Yhn1aNl2uJaSulbCg/y5YLpvNj+fiMKMj3E0Ae88qkMnZYSCIszNyc76ltnAeXQz7H/XnH4q2WYuo63cbe5fYw8wR3WmLDPDTfIcTUl5m8oic/po12vmSrj+Uub1BZi4DGvq8wKOKaaV2YkEB+jv7v4UZnzMpLiwfodONvj84WQySvwDzdGX9HNh+X9ASw0Ub4T975m3+sPmapWDH8A7/wUhMb1TUr3hZpy2CvAohmHuwFu20wyxRf80pxwdbHbzPCTHEmr99x2xru4e3ug9Ifvy2ZrCPZ7CjI+x2WzMmxjN+sJjbD1UozAjrhEaY262l32V+Yuv5oA5arP/PbNvorXGPCOqYK15fWxGX69N+nnmqI+4B8OA2oNmcCnbaa5qK9sJLdUDr7MHmP/9Zlxm7iIdFmdFtV7ro/3VVDd3EBsWyLlT9doeT2HGB83vDTNbDtbynfOtrka8ns0GsVPM29nfhu5O89BLR7gp2QLVe83bZ4+A3R/SFpojNlMugJQ5agwdKz09ZvAs29EXWsp2Dlw27WDzM/cbSp5t/nfKWOHVZyFZzbG3zKWzkgnw0xTt8RRmfJCjb2arDp0UK/gF9K2MWvYLc7lu8ftmr83+d81RgEMfmbf3fg3B42Dykr5wEz3R4h/AS/R0m2cd9Q8tZbnQ0Tj4Wr9ASMgyg0vybDNgJmRDgHafHQttnd28lV8OaIrpRBRmfNDM8VEE+pmHTh6sbmFSnFaZiIVCxkHW5eYNeqekevexOfA+tNVB4SvmDSBmijmdMeUCcz+S4EirKvcc3Z1mM7YjtJTugGP50Nky+Fr/YEicaQYWR3iJn6F9Xyz07u4Kmju6GT8uhHkT1BowFIUZHxQc4EdOahRbD9Wy5WCNwoy4l5jJ5u2sm6G7C0q3962SOvIZ1Ow3b5v/1DfVEZkCEUkQkQKRyQM/hsb41vLfrnaoKDwuuBRAd/vgawPCICmnX3CZY26E6KdfDe6k//EFdrsPvZeHQe9YH7VgYjRbD9Wy9VAtX9Khk+Ku/Pwh7SzztvRn0NZgroja3zslVbPfHGE4ln+S5wgyg05kCkQk9ws+yX2PRSR71pRJVzu0N0J7AzRXmSdLl+4ww0vFroEb0zkERfaNtDiCS+wU9SO5ufrWTt4rqgQ0xXQyCjM+ar7z0MlaiysRGYbgSHOp7/RLzT/XHTb3N2kohcZyaCyFhrK+jy1V5ohE3SHzdjIhMf0CT3JfyOkfgkJjz3yUp7uzN4D03jqa+gJJe9PwHhsqrAz4WaIHhpbk2RA9SXv7eKC3Csrp6OphWmI405O0yu9EFGZ8lCPM7Ktooq6lg3Ghmg8XDzRugnk7ka723pBT1ht4+n/sF3q6283l4q01pxjlCRw8nRUc2Rs4ThFIutpG/+cPCDNXECVm9YWW5Nnma+JLU2terP/xBVqscWIKMz4qNjyIyXFhHKgyD51cPkPnNIkX8g8yVz+dbAWUYUBr7eCAM+QoT4c5GlR3eAQ1BZv76ARFQGC4Of0TFH5mj2mKyKtVNLaxaX8VAJfN0hTTySjM+LD5E6M5UGUeOqkwIz7LZjObhENjIDH7xNd1tUPTscFBp72xN2xEnEYgiTCXpouchjdyy+gxYO6EcUyIDbW6HLemMOPDFqRH88LWo2w9qL4ZkVPyDzr1tJbIKHKcxXSFGn9PSd1gPmz+xBgAdh6to6Orx+JqRETE4XB1CzuO1GG3waWaYjolhRkfNiU+jOjQANq7eigoHWK7chERscSrO829Zc6dGkd8RJDF1bg/hRkfZrPZnKuatmqJtoiIWzAMwznFdJmmmE6LwoyPc0w1bVHfjIiIW9hd3sjeiiYC/e1cPDPJ6nI8gsKMj1uQ3rd5nmEYFlcjIiKOUZkLMhOIDNbqt9OhMOPjcnoPnaxqaudwzRCHzomIyJjp6TF4bacZZi6foymm06Uw4+OCA/yYOd48dVhTTSIi1tp2uJaSulbCg/y5YHqC1eV4DIUZYUF6b9+MmoBFRCzlmGK6KDuJ4ADt8Hy6FGak34qmGosrERHxXZ3dPbyRVwZoimm4FGbEGWb2HGuivuUUp/GKiIhLfLSviprmDmLDAjl3SqzV5XgUhRkhLjyISXFhgDlfKyIiY89xQvYXZiXj76dfz8OhV0uAvtGZLZpqEhEZc22d3bxVUA5oiulMKMwIAAscYUYrmkRExtw7uypo7ugmNTqEeROirS7H4yjMCNC3ed7Oo3V0duvQSRGRsfTKDvMspstmp2Cz2SyuxvMozAgAk+PCGRcaQFtnDwWlDVaXIyLiM+pbO9lQVAnAFZpiOiMKMwKA3W5j/gTHVJP6ZkRExspb+eV0dPeQmRjB9KRIq8vxSAoz4jQ/XSdoi4iMtVd2mlNMavw9cwoz4rRgYt9OwDp0UkTE9Soa2vh4fzUAl89WmDlTCjPiNCs1igA/G5WN7RypabW6HBERr/d6bhk9BsybMI60mFCry/FYCjPiZB46GQVovxkRkbHwiuOEbI3KjIjCjAzg3G9GfTMiIi51qLqZnUfqsNvg0lkKMyOhMCMDzO/tm9mqzfNERFzKcXzBuVPjiI8Isrgaz6YwIwM4D52saKS+VYdOioi4gmEYmmIaRQozMkB8RBDpsaEYhg6dFBFxlV1ljeyraCLQ385FM5OsLsfjKczIIPN6R2c01SQi4hqOvWUuyEwgMjjA4mo8n8KMDNK334xWNImIjLaeHoPXevtldHzB6FCYkUEch07uOKJDJ0VERtvWw7WU1rcREeTPsukJVpfjFRRmZJCp8eFEBvvT1tlDoQ6dFBEZVY4TsldmJxEc4GdxNd5BYUYGsdttzlVN2m9GRGT0dHb38M+8ckBTTKNJYUaGtCC9d78Z9c2IiIyaD/dVUdPcQVx4IIunxFpdjtdQmJEhOUdmDurQSRGR0eLYKO/SnGT8/fQreLTolZQhzU4dh7/dRkVjO0drdeikiMhItXZ0s67AnGK6fM54i6vxLgozMqSQQD+ydeikiMioeWf3MZo7ukmNDmHehHFWl+NVFGbkhBb0m2oSEZGReWVH3/EFNpvN4mq8i8KMnJAjzGzViiYRkRGpb+lkY1ElAFdoimnUKczICc3v3Tyv6FgjDW06dFJE5Ey9WVBGR3cP05MiyEyKsLocr6MwIyeUEBHMhBjz0Mnth+usLkdExGM5ppgu0wnZLqEwIyflnGo6qCZgEZEzUdHQxscHqgGzX0ZGn8KMnJRjqkk7AYuInJnXcsswDJg3YRxpMaFWl+OVFGbkpBwnaO84UkeXDp0UERm2V3vPYlLjr+tYGmbef/99LrvsMlJSzGVq//jHPwZ83jAMVq9eTUpKCiEhISxdupSCggJrivVRGQnmoZMtHd3sKmu0uhwREY9ysKqZnUfr8bPb+HxOstXleC1Lw0xzczOzZ8/mwQcfHPLz9913H/fffz8PPvggmzdvJikpiRUrVtDYqF+qY8VutzHPeeik+mZERIbj1Z1m4+/iKbHERwRZXI33sjTMXHLJJfz617/m6quvHvQ5wzB44IEH+OUvf8nVV1/NzJkzeeqpp2hpaeGZZ56xoFrftUAnaIuIDJthGLyiKaYx4bY9M8XFxZSXl7Ny5UrnY0FBQSxZsoRNmzad8Ova29tpaGgYcJORmd/bN7NVh06KiJy2wrIG9lc2E+hv56LsRKvL8WpuG2bKy83DuBITB74BEhMTnZ8byt13301UVJTzlpaW5tI6fcGcNPPQyfKGNkrqdOikiMjpcJyQvXx6AhHBARZX493cNsw4HH9+hWEYJz3T4s4776S+vt55O3LkiKtL9HohgX5kp0QCOtpAROR09PQYvNbbL3PFHO0t42puG2aSkpIABo3CVFRUDBqt6S8oKIjIyMgBNxk5x1STDp0UETm1LYdqKa1vIyLIn6WZCVaX4/XcNsxMmjSJpKQk1q9f73yso6ODjRs3snjxYgsr800LtHmeiMhpczT+XjQzieAAP4ur8X7+Vn7zpqYm9u3b5/xzcXExO3bsICYmhgkTJrBq1SrWrFlDRkYGGRkZrFmzhtDQUK6//noLq/ZNjhVNReUNNLZ1av5XROQEOrt7+GdeGaApprFiaZjZsmULy5Ytc/75xz/+MQA33XQTTz75JHf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"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
@@ -1143,13 +1268,16 @@
}
],
"source": [
- "T_left = 38 \n",
- "T_right = 25 \n",
- "T_initial = 7 \n",
- "L = 300 \n",
- "nu = 4 \n",
- " \n",
- "dx = 20\n",
+ "# YOUR_CODE_HERE\n",
+ "\n",
+ "# SOLUTION\n",
+ "T_left = 38\n",
+ "T_right = 25\n",
+ "T_initial = 7\n",
+ "L = 0.3\n",
+ "nu = 4/1000/1000\n",
+ "\n",
+ "dx = 0.02\n",
"x = np.arange(0,L,dx)\n",
"n = len(x)\n",
"dt = 50\n",
diff --git a/content/GA_1_6/figures/thermal_gradient.png b/content/GA_1_6/figures/thermal_gradient.png
new file mode 100644
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diff --git a/src/teachers/GA_1_6/GA_1_6_an_ode_to_pde.html b/src/teachers/GA_1_6/GA_1_6_an_ode_to_pde.html
new file mode 100644
index 00000000..f97dc354
--- /dev/null
+++ b/src/teachers/GA_1_6/GA_1_6_an_ode_to_pde.html
@@ -0,0 +1,8457 @@
+<!DOCTYPE html>
+
+<html lang="en">
+<head><meta charset="utf-8"/>
+<meta content="width=device-width, initial-scale=1.0" name="viewport"/>
+<title>GA_1_6_an_ode_to_pde</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script><script>
+(function() {
+ function addWidgetsRenderer() {
+ var mimeElement = document.querySelector('script[type="application/vnd.jupyter.widget-view+json"]');
+ var scriptElement = document.createElement('script');
+
+ var widgetRendererSrc = 'https://unpkg.com/@jupyter-widgets/html-manager@*/dist/embed-amd.js';
+
+ var widgetState;
+
+ // Fallback for older version:
+ try {
+ widgetState = mimeElement && JSON.parse(mimeElement.innerHTML);
+
+ if (widgetState && (widgetState.version_major < 2 || !widgetState.version_major)) {
+
+ var widgetRendererSrc = 'https://unpkg.com/@jupyter-js-widgets@*/dist/embed.js';
+
+ }
+ } catch(e) {}
+
+ scriptElement.src = widgetRendererSrc;
+ document.body.appendChild(scriptElement);
+ }
+
+ document.addEventListener('DOMContentLoaded', addWidgetsRenderer);
+}());
+</script>
+<style type="text/css">
+ pre { line-height: 125%; }
+td.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
+span.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }
+td.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
+span.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }
+.highlight .hll { background-color: var(--jp-cell-editor-active-background) }
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+ </style>
+<style type="text/css">
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
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+ * Mozilla scrollbar styling
+ */
+
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+ scrollbar-color: rgb(var(--jp-scrollbar-thumb-color))
+ var(--jp-scrollbar-background-color);
+}
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+}
+
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+
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+ scrollbar-color: rgba(var(--jp-scrollbar-thumb-color), 0.5) transparent;
+ scrollbar-width: thin;
+}
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+ background-color: transparent;
+ height: 4px;
+ width: 4px;
+}
+
+.jp-scrollbar-tiny::-webkit-scrollbar-thumb {
+ background: rgba(var(--jp-scrollbar-thumb-color), 0.5);
+}
+
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+ border-left: 0 solid transparent;
+ border-right: 0 solid transparent;
+}
+
+.jp-scrollbar-tiny::-webkit-scrollbar-track:vertical {
+ border-top: 0 solid transparent;
+ border-bottom: 0 solid transparent;
+}
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+/*
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+ */
+
+.lm-ScrollBar[data-orientation='horizontal'] {
+ min-height: 16px;
+ max-height: 16px;
+ min-width: 45px;
+ border-top: 1px solid #a0a0a0;
+}
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+}
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+}
+
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+ background-color: #cdcdcd;
+}
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+ background: #f0f0f0;
+}
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+ background: #cdcdcd;
+}
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+}
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+ background: #a0a0a0;
+}
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+ min-width: 15px;
+ border-left: 1px solid #a0a0a0;
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+}
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+ min-height: 15px;
+ border-top: 1px solid #a0a0a0;
+ border-bottom: 1px solid #a0a0a0;
+}
+
+.lm-ScrollBar[data-orientation='horizontal']
+ .lm-ScrollBar-button[data-action='decrement'] {
+ background-image: var(--jp-icon-caret-left);
+ background-size: 17px;
+}
+
+.lm-ScrollBar[data-orientation='horizontal']
+ .lm-ScrollBar-button[data-action='increment'] {
+ background-image: var(--jp-icon-caret-right);
+ background-size: 17px;
+}
+
+.lm-ScrollBar[data-orientation='vertical']
+ .lm-ScrollBar-button[data-action='decrement'] {
+ background-image: var(--jp-icon-caret-up);
+ background-size: 17px;
+}
+
+.lm-ScrollBar[data-orientation='vertical']
+ .lm-ScrollBar-button[data-action='increment'] {
+ background-image: var(--jp-icon-caret-down);
+ background-size: 17px;
+}
+
+/*
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+ * Distributed under the terms of the Modified BSD License.
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+/*-----------------------------------------------------------------------------
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+| Copyright (c) 2014-2017, PhosphorJS Contributors
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+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
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+}
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+}
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+/*
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+ * Distributed under the terms of the Modified BSD License.
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+.lm-AccordionPanel[data-orientation='horizontal'] > .lm-AccordionPanel-title {
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+ display: block;
+ transform-origin: top left;
+ transform: rotate(-90deg) translate(-100%);
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
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+/*-----------------------------------------------------------------------------
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+| Copyright (c) 2014-2017, PhosphorJS Contributors
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+| Distributed under the terms of the BSD 3-Clause License.
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+}
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+.lm-CommandPalette-search {
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+}
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+ padding: 0;
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+ overflow: auto;
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+}
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+.lm-CommandPalette-header {
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+ white-space: nowrap;
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+}
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+}
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+}
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+ overflow: hidden;
+}
+
+.lm-CommandPalette-itemShortcut {
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+}
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+.lm-CommandPalette-itemLabel {
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+}
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+.lm-close-icon {
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+ font-size: 12px;
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+/*
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+ * Distributed under the terms of the Modified BSD License.
+ */
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+/*-----------------------------------------------------------------------------
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+}
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+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
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+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
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+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
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+ position: absolute;
+ white-space: nowrap;
+ overflow-x: hidden;
+ overflow-y: auto;
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+}
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+}
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+}
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+ display: table-cell;
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+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
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+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
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+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
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+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
+|
+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
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+ display: flex;
+ -webkit-user-select: none;
+ -moz-user-select: none;
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+}
+
+.lm-ScrollBar[data-orientation='horizontal'] {
+ flex-direction: row;
+}
+
+.lm-ScrollBar[data-orientation='vertical'] {
+ flex-direction: column;
+}
+
+.lm-ScrollBar-button {
+ box-sizing: border-box;
+ flex: 0 0 auto;
+}
+
+.lm-ScrollBar-track {
+ box-sizing: border-box;
+ position: relative;
+ overflow: hidden;
+ flex: 1 1 auto;
+}
+
+.lm-ScrollBar-thumb {
+ box-sizing: border-box;
+ position: absolute;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
+|
+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
+
+.lm-SplitPanel-child {
+ z-index: 0;
+}
+
+.lm-SplitPanel-handle {
+ z-index: 1;
+}
+
+.lm-SplitPanel-handle.lm-mod-hidden {
+ display: none !important;
+}
+
+.lm-SplitPanel-handle:after {
+ position: absolute;
+ top: 0;
+ left: 0;
+ width: 100%;
+ height: 100%;
+ content: '';
+}
+
+.lm-SplitPanel[data-orientation='horizontal'] > .lm-SplitPanel-handle {
+ cursor: ew-resize;
+}
+
+.lm-SplitPanel[data-orientation='vertical'] > .lm-SplitPanel-handle {
+ cursor: ns-resize;
+}
+
+.lm-SplitPanel[data-orientation='horizontal'] > .lm-SplitPanel-handle:after {
+ left: 50%;
+ min-width: 8px;
+ transform: translateX(-50%);
+}
+
+.lm-SplitPanel[data-orientation='vertical'] > .lm-SplitPanel-handle:after {
+ top: 50%;
+ min-height: 8px;
+ transform: translateY(-50%);
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
+|
+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
+
+.lm-TabBar {
+ display: flex;
+ -webkit-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+.lm-TabBar[data-orientation='horizontal'] {
+ flex-direction: row;
+ align-items: flex-end;
+}
+
+.lm-TabBar[data-orientation='vertical'] {
+ flex-direction: column;
+ align-items: flex-end;
+}
+
+.lm-TabBar-content {
+ margin: 0;
+ padding: 0;
+ display: flex;
+ flex: 1 1 auto;
+ list-style-type: none;
+}
+
+.lm-TabBar[data-orientation='horizontal'] > .lm-TabBar-content {
+ flex-direction: row;
+}
+
+.lm-TabBar[data-orientation='vertical'] > .lm-TabBar-content {
+ flex-direction: column;
+}
+
+.lm-TabBar-tab {
+ display: flex;
+ flex-direction: row;
+ box-sizing: border-box;
+ overflow: hidden;
+ touch-action: none; /* Disable native Drag/Drop */
+}
+
+.lm-TabBar-tabIcon,
+.lm-TabBar-tabCloseIcon {
+ flex: 0 0 auto;
+}
+
+.lm-TabBar-tabLabel {
+ flex: 1 1 auto;
+ overflow: hidden;
+ white-space: nowrap;
+}
+
+.lm-TabBar-tabInput {
+ user-select: all;
+ width: 100%;
+ box-sizing: border-box;
+}
+
+.lm-TabBar-tab.lm-mod-hidden {
+ display: none !important;
+}
+
+.lm-TabBar-addButton.lm-mod-hidden {
+ display: none !important;
+}
+
+.lm-TabBar.lm-mod-dragging .lm-TabBar-tab {
+ position: relative;
+}
+
+.lm-TabBar.lm-mod-dragging[data-orientation='horizontal'] .lm-TabBar-tab {
+ left: 0;
+ transition: left 150ms ease;
+}
+
+.lm-TabBar.lm-mod-dragging[data-orientation='vertical'] .lm-TabBar-tab {
+ top: 0;
+ transition: top 150ms ease;
+}
+
+.lm-TabBar.lm-mod-dragging .lm-TabBar-tab.lm-mod-dragging {
+ transition: none;
+}
+
+.lm-TabBar-tabLabel .lm-TabBar-tabInput {
+ user-select: all;
+ width: 100%;
+ box-sizing: border-box;
+ background: inherit;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
+|
+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
+
+.lm-TabPanel-tabBar {
+ z-index: 1;
+}
+
+.lm-TabPanel-stackedPanel {
+ z-index: 0;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
+|
+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-Collapse {
+ display: flex;
+ flex-direction: column;
+ align-items: stretch;
+}
+
+.jp-Collapse-header {
+ padding: 1px 12px;
+ background-color: var(--jp-layout-color1);
+ border-bottom: solid var(--jp-border-width) var(--jp-border-color2);
+ color: var(--jp-ui-font-color1);
+ cursor: pointer;
+ display: flex;
+ align-items: center;
+ font-size: var(--jp-ui-font-size0);
+ font-weight: 600;
+ text-transform: uppercase;
+ user-select: none;
+}
+
+.jp-Collapser-icon {
+ height: 16px;
+}
+
+.jp-Collapse-header-collapsed .jp-Collapser-icon {
+ transform: rotate(-90deg);
+ margin: auto 0;
+}
+
+.jp-Collapser-title {
+ line-height: 25px;
+}
+
+.jp-Collapse-contents {
+ padding: 0 12px;
+ background-color: var(--jp-layout-color1);
+ color: var(--jp-ui-font-color1);
+ overflow: auto;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/* This file was auto-generated by ensureUiComponents() in @jupyterlab/buildutils */
+
+/**
+ * (DEPRECATED) Support for consuming icons as CSS background images
+ */
+
+/* Icons urls */
+
+:root {
+ --jp-icon-add-above: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTQiIGhlaWdodD0iMTQiIHZpZXdCb3g9IjAgMCAxNCAxNCIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPGcgY2xpcC1wYXRoPSJ1cmwoI2NsaXAwXzEzN18xOTQ5MikiPgo8cGF0aCBjbGFzcz0ianAtaWNvbjMiIGQ9Ik00Ljc1IDQuOTMwNjZINi42MjVWNi44MDU2NkM2LjYyNSA3LjAxMTkxIDYuNzkzNzUgNy4xODA2NiA3IDcuMTgwNjZDNy4yMDYyNSA3LjE4MDY2IDcuMzc1IDcuMDExOTEgNy4zNzUgNi44MDU2NlY0LjkzMDY2SDkuMjVDOS40NTYyNSA0LjkzMDY2IDkuNjI1IDQuNzYxOTEgOS42MjUgNC41NTU2NkM5LjYyNSA0LjM0OTQxIDkuNDU2MjUgNC4xODA2NiA5LjI1IDQuMTgwNjZINy4zNzVWMi4zMDU2NkM3LjM3NSAyLjA5OTQxIDcuMjA2MjUgMS45MzA2NiA3IDEuOTMwNjZDNi43OTM3NSAxLjkzMDY2IDYuNjI1IDIuMDk5NDEgNi42MjUgMi4zMDU2NlY0LjE4MDY2SDQuNzVDNC41NDM3NSA0LjE4MDY2IDQuMzc1IDQuMzQ5NDEgNC4zNzUgNC41NTU2NkM0LjM3NSA0Ljc2MTkxIDQuNTQzNzUgNC45MzA2NiA0Ljc1IDQuOTMwNjZaIiBmaWxsPSIjNjE2MTYxIiBzdHJva2U9IiM2MTYxNjEiIHN0cm9rZS13aWR0aD0iMC43Ii8+CjwvZz4KPHBhdGggY2xhc3M9ImpwLWljb24zIiBmaWxsLXJ1bGU9ImV2ZW5vZGQiIGNsaXAtcnVsZT0iZXZlbm9kZCIgZD0iTTExLjUgOS41VjExLjVMMi41IDExLjVWOS41TDExLjUgOS41Wk0xMiA4QzEyLjU1MjMgOCAxMyA4LjQ0NzcyIDEzIDlWMTJDMTMgMTIuNTUyMyAxMi41NTIzIDEzIDEyIDEzTDIgMTNDMS40NDc3MiAxMyAxIDEyLjU1MjMgMSAxMlY5QzEgOC40NDc3MiAxLjQ0NzcxIDggMiA4TDEyIDhaIiBmaWxsPSIjNjE2MTYxIi8+CjxkZWZzPgo8Y2xpcFBhdGggaWQ9ImNsaXAwXzEzN18xOTQ5MiI+CjxyZWN0IGNsYXNzPSJqcC1pY29uMyIgd2lkdGg9IjYiIGhlaWdodD0iNiIgZmlsbD0id2hpdGUiIHRyYW5zZm9ybT0ibWF0cml4KC0xIDAgMCAxIDEwIDEuNTU1NjYpIi8+CjwvY2xpcFBhdGg+CjwvZGVmcz4KPC9zdmc+Cg==);
+ --jp-icon-add-below: url(data:image/svg+xml;base64,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);
+ --jp-icon-add: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE5IDEzaC02djZoLTJ2LTZINXYtMmg2VjVoMnY2aDZ2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-bell: url(data:image/svg+xml;base64,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);
+ --jp-icon-bug-dot: url(data:image/svg+xml;base64,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);
+ --jp-icon-bug: url(data:image/svg+xml;base64,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);
+ --jp-icon-build: url(data:image/svg+xml;base64,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);
+ --jp-icon-caret-down-empty-thin: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIwIDIwIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwb2x5Z29uIGNsYXNzPSJzdDEiIHBvaW50cz0iOS45LDEzLjYgMy42LDcuNCA0LjQsNi42IDkuOSwxMi4yIDE1LjQsNi43IDE2LjEsNy40ICIvPgoJPC9nPgo8L3N2Zz4K);
+ --jp-icon-caret-down-empty: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiIHNoYXBlLXJlbmRlcmluZz0iZ2VvbWV0cmljUHJlY2lzaW9uIj4KICAgIDxwYXRoIGQ9Ik01LjIsNS45TDksOS43bDMuOC0zLjhsMS4yLDEuMmwtNC45LDVsLTQuOS01TDUuMiw1Ljl6Ii8+CiAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-caret-down: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiIHNoYXBlLXJlbmRlcmluZz0iZ2VvbWV0cmljUHJlY2lzaW9uIj4KICAgIDxwYXRoIGQ9Ik01LjIsNy41TDksMTEuMmwzLjgtMy44SDUuMnoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-caret-left: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwYXRoIGQ9Ik0xMC44LDEyLjhMNy4xLDlsMy44LTMuOGwwLDcuNkgxMC44eiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-caret-right: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiIHNoYXBlLXJlbmRlcmluZz0iZ2VvbWV0cmljUHJlY2lzaW9uIj4KICAgIDxwYXRoIGQ9Ik03LjIsNS4yTDEwLjksOWwtMy44LDMuOFY1LjJINy4yeiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-caret-up-empty-thin: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIwIDIwIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwb2x5Z29uIGNsYXNzPSJzdDEiIHBvaW50cz0iMTUuNCwxMy4zIDkuOSw3LjcgNC40LDEzLjIgMy42LDEyLjUgOS45LDYuMyAxNi4xLDEyLjYgIi8+Cgk8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-caret-up: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwYXRoIGQ9Ik01LjIsMTAuNUw5LDYuOGwzLjgsMy44SDUuMnoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-case-sensitive: url(data:image/svg+xml;base64,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);
+ --jp-icon-check: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIj4KICAgIDxwYXRoIGQ9Ik05IDE2LjE3TDQuODMgMTJsLTEuNDIgMS40MUw5IDE5IDIxIDdsLTEuNDEtMS40MXoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-circle-empty: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyIDJDNi40NyAyIDIgNi40NyAyIDEyczQuNDcgMTAgMTAgMTAgMTAtNC40NyAxMC0xMFMxNy41MyAyIDEyIDJ6bTAgMThjLTQuNDEgMC04LTMuNTktOC04czMuNTktOCA4LTggOCAzLjU5IDggOC0zLjU5IDgtOCA4eiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-circle: url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMTggMTgiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPGNpcmNsZSBjeD0iOSIgY3k9IjkiIHI9IjgiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-clear: url(data:image/svg+xml;base64,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);
+ --jp-icon-close: url(data:image/svg+xml;base64,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);
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+ --jp-icon-file-upload: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTkgMTZoNnYtNmg0bC03LTctNyA3aDR6bS00IDJoMTR2Mkg1eiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-file: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8cGF0aCBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMTkuMyA4LjJsLTUuNS01LjVjLS4zLS4zLS43LS41LTEuMi0uNUgzLjljLS44LjEtMS42LjktMS42IDEuOHYxNC4xYzAgLjkuNyAxLjYgMS42IDEuNmgxNC4yYy45IDAgMS42LS43IDEuNi0xLjZWOS40Yy4xLS41LS4xLS45LS40LTEuMnptLTUuOC0zLjNsMy40IDMuNmgtMy40VjQuOXptMy45IDEyLjdINC43Yy0uMSAwLS4yIDAtLjItLjJWNC43YzAtLjIuMS0uMy4yLS4zaDcuMnY0LjRzMCAuOC4zIDEuMWMuMy4zIDEuMS4zIDEuMS4zaDQuM3Y3LjJzLS4xLjItLjIuMnoiLz4KPC9zdmc+Cg==);
+ --jp-icon-filter-dot: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiNGRkYiPgogICAgPHBhdGggZD0iTTE0LDEyVjE5Ljg4QzE0LjA0LDIwLjE4IDEzLjk0LDIwLjUgMTMuNzEsMjAuNzFDMTMuMzIsMjEuMSAxMi42OSwyMS4xIDEyLjMsMjAuNzFMMTAuMjksMTguN0MxMC4wNiwxOC40NyA5Ljk2LDE4LjE2IDEwLDE3Ljg3VjEySDkuOTdMNC4yMSw0LjYyQzMuODcsNC4xOSAzLjk1LDMuNTYgNC4zOCwzLjIyQzQuNTcsMy4wOCA0Ljc4LDMgNSwzVjNIMTlWM0MxOS4yMiwzIDE5LjQzLDMuMDggMTkuNjIsMy4yMkMyMC4wNSwzLjU2IDIwLjEzLDQuMTkgMTkuNzksNC42MkwxNC4wMywxMkgxNFoiIC8+CiAgPC9nPgogIDxnIGNsYXNzPSJqcC1pY29uLWRvdCIgZmlsbD0iI0ZGRiI+CiAgICA8Y2lyY2xlIGN4PSIxOCIgY3k9IjE3IiByPSIzIj48L2NpcmNsZT4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-filter-list: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEwIDE4aDR2LTJoLTR2MnpNMyA2djJoMThWNkgzem0zIDdoMTJ2LTJINnYyeiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-filter: url(data:image/svg+xml;base64,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);
+ --jp-icon-folder-favorite: url(data:image/svg+xml;base64,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);
+ --jp-icon-folder: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMTAgNEg0Yy0xLjEgMC0xLjk5LjktMS45OSAyTDIgMThjMCAxLjEuOSAyIDIgMmgxNmMxLjEgMCAyLS45IDItMlY4YzAtMS4xLS45LTItMi0yaC04bC0yLTJ6Ii8+Cjwvc3ZnPgo=);
+ --jp-icon-home: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIGhlaWdodD0iMjRweCIgdmlld0JveD0iMCAwIDI0IDI0IiB3aWR0aD0iMjRweCIgZmlsbD0iIzAwMDAwMCI+CiAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPjxwYXRoIGNsYXNzPSJqcC1pY29uMyBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xMCAyMHYtNmg0djZoNXYtOGgzTDEyIDMgMiAxMmgzdjh6Ii8+Cjwvc3ZnPgo=);
+ --jp-icon-html5: url(data:image/svg+xml;base64,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);
+ --jp-icon-image: url(data:image/svg+xml;base64,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);
+ --jp-icon-info: url(data:image/svg+xml;base64,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);
+ --jp-icon-inspector: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaW5zcGVjdG9yLWljb24tY29sb3IganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMjAgNEg0Yy0xLjEgMC0xLjk5LjktMS45OSAyTDIgMThjMCAxLjEuOSAyIDIgMmgxNmMxLjEgMCAyLS45IDItMlY2YzAtMS4xLS45LTItMi0yem0tNSAxNEg0di00aDExdjR6bTAtNUg0VjloMTF2NHptNSA1aC00VjloNHY5eiIvPgo8L3N2Zz4K);
+ --jp-icon-json: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtanNvbi1pY29uLWNvbG9yIGpwLWljb24tc2VsZWN0YWJsZSIgZmlsbD0iI0Y5QTgyNSI+CiAgICA8cGF0aCBkPSJNMjAuMiAxMS44Yy0xLjYgMC0xLjcuNS0xLjcgMSAwIC40LjEuOS4xIDEuMy4xLjUuMS45LjEgMS4zIDAgMS43LTEuNCAyLjMtMy41IDIuM2gtLjl2LTEuOWguNWMxLjEgMCAxLjQgMCAxLjQtLjggMC0uMyAwLS42LS4xLTEgMC0uNC0uMS0uOC0uMS0xLjIgMC0xLjMgMC0xLjggMS4zLTItMS4zLS4yLTEuMy0uNy0xLjMtMiAwLS40LjEtLjguMS0xLjIuMS0uNC4xLS43LjEtMSAwLS44LS40LS43LTEuNC0uOGgtLjVWNC4xaC45YzIuMiAwIDMuNS43IDMuNSAyLjMgMCAuNC0uMS45LS4xIDEuMy0uMS41LS4xLjktLjEgMS4zIDAgLjUuMiAxIDEuNyAxdjEuOHpNMS44IDEwLjFjMS42IDAgMS43LS41IDEuNy0xIDAtLjQtLjEtLjktLjEtMS4zLS4xLS41LS4xLS45LS4xLTEuMyAwLTEuNiAxLjQtMi4zIDMuNS0yLjNoLjl2MS45aC0uNWMtMSAwLTEuNCAwLTEuNC44IDAgLjMgMCAuNi4xIDEgMCAuMi4xLjYuMSAxIDAgMS4zIDAgMS44LTEuMyAyQzYgMTEuMiA2IDExLjcgNiAxM2MwIC40LS4xLjgtLjEgMS4yLS4xLjMtLjEuNy0uMSAxIDAgLjguMy44IDEuNC44aC41djEuOWgtLjljLTIuMSAwLTMuNS0uNi0zLjUtMi4zIDAtLjQuMS0uOS4xLTEuMy4xLS41LjEtLjkuMS0xLjMgMC0uNS0uMi0xLTEuNy0xdi0xLjl6Ii8+CiAgICA8Y2lyY2xlIGN4PSIxMSIgY3k9IjEzLjgiIHI9IjIuMSIvPgogICAgPGNpcmNsZSBjeD0iMTEiIGN5PSI4LjIiIHI9IjIuMSIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-julia: url(data:image/svg+xml;base64,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);
+ --jp-icon-jupyter-favicon: url(data:image/svg+xml;base64,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);
+ --jp-icon-jupyter: url(data:image/svg+xml;base64,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);
+ --jp-icon-jupyterlab-wordmark: 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+ --jp-icon-kernel: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxwYXRoIGNsYXNzPSJqcC1pY29uMiIgZmlsbD0iIzYxNjE2MSIgZD0iTTE1IDlIOXY2aDZWOXptLTIgNGgtMnYtMmgydjJ6bTgtMlY5aC0yVjdjMC0xLjEtLjktMi0yLTJoLTJWM2gtMnYyaC0yVjNIOXYySDdjLTEuMSAwLTIgLjktMiAydjJIM3YyaDJ2MkgzdjJoMnYyYzAgMS4xLjkgMiAyIDJoMnYyaDJ2LTJoMnYyaDJ2LTJoMmMxLjEgMCAyLS45IDItMnYtMmgydi0yaC0ydi0yaDJ6bS00IDZIN1Y3aDEwdjEweiIvPgo8L3N2Zz4K);
+ --jp-icon-keyboard: url(data:image/svg+xml;base64,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);
+ --jp-icon-launch: url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMzIgMzIiIHdpZHRoPSIzMiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIj4KICAgIDxwYXRoIGQ9Ik0yNiwyOEg2YTIuMDAyNywyLjAwMjcsMCwwLDEtMi0yVjZBMi4wMDI3LDIuMDAyNywwLDAsMSw2LDRIMTZWNkg2VjI2SDI2VjE2aDJWMjZBMi4wMDI3LDIuMDAyNywwLDAsMSwyNiwyOFoiLz4KICAgIDxwb2x5Z29uIHBvaW50cz0iMjAgMiAyMCA0IDI2LjU4NiA0IDE4IDEyLjU4NiAxOS40MTQgMTQgMjggNS40MTQgMjggMTIgMzAgMTIgMzAgMiAyMCAyIi8+CiAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-launcher: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMTkgMTlINVY1aDdWM0g1YTIgMiAwIDAwLTIgMnYxNGEyIDIgMCAwMDIgMmgxNGMxLjEgMCAyLS45IDItMnYtN2gtMnY3ek0xNCAzdjJoMy41OWwtOS44MyA5LjgzIDEuNDEgMS40MUwxOSA2LjQxVjEwaDJWM2gtN3oiLz4KPC9zdmc+Cg==);
+ --jp-icon-line-form: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxwYXRoIGZpbGw9IndoaXRlIiBkPSJNNS44OCA0LjEyTDEzLjc2IDEybC03Ljg4IDcuODhMOCAyMmwxMC0xMEw4IDJ6Ii8+Cjwvc3ZnPgo=);
+ --jp-icon-link: url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTMuOSAxMmMwLTEuNzEgMS4zOS0zLjEgMy4xLTMuMWg0VjdIN2MtMi43NiAwLTUgMi4yNC01IDVzMi4yNCA1IDUgNWg0di0xLjlIN2MtMS43MSAwLTMuMS0xLjM5LTMuMS0zLjF6TTggMTNoOHYtMkg4djJ6bTktNmgtNHYxLjloNGMxLjcxIDAgMy4xIDEuMzkgMy4xIDMuMXMtMS4zOSAzLjEtMy4xIDMuMWgtNFYxN2g0YzIuNzYgMCA1LTIuMjQgNS01cy0yLjI0LTUtNS01eiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-list: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxwYXRoIGNsYXNzPSJqcC1pY29uMiBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xOSA1djE0SDVWNWgxNG0xLjEtMkgzLjljLS41IDAtLjkuNC0uOS45djE2LjJjMCAuNC40LjkuOS45aDE2LjJjLjQgMCAuOS0uNS45LS45VjMuOWMwLS41LS41LS45LS45LS45ek0xMSA3aDZ2MmgtNlY3em0wIDRoNnYyaC02di0yem0wIDRoNnYyaC02ek03IDdoMnYySDd6bTAgNGgydjJIN3ptMCA0aDJ2Mkg3eiIvPgo8L3N2Zz4K);
+ --jp-icon-markdown: url(data:image/svg+xml;base64,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);
+ --jp-icon-move-down: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTQiIGhlaWdodD0iMTQiIHZpZXdCb3g9IjAgMCAxNCAxNCIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPHBhdGggY2xhc3M9ImpwLWljb24zIiBkPSJNMTIuNDcxIDcuNTI4OTlDMTIuNzYzMiA3LjIzNjg0IDEyLjc2MzIgNi43NjMxNiAxMi40NzEgNi40NzEwMVY2LjQ3MTAxQzEyLjE3OSA2LjE3OTA1IDExLjcwNTcgNi4xNzg4NCAxMS40MTM1IDYuNDcwNTRMNy43NSAxMC4xMjc1VjEuNzVDNy43NSAxLjMzNTc5IDcuNDE0MjEgMSA3IDFWMUM2LjU4NTc5IDEgNi4yNSAxLjMzNTc5IDYuMjUgMS43NVYxMC4xMjc1TDIuNTk3MjYgNi40NjgyMkMyLjMwMzM4IDYuMTczODEgMS44MjY0MSA2LjE3MzU5IDEuNTMyMjYgNi40Njc3NFY2LjQ2Nzc0QzEuMjM4MyA2Ljc2MTcgMS4yMzgzIDcuMjM4MyAxLjUzMjI2IDcuNTMyMjZMNi4yOTI4OSAxMi4yOTI5QzYuNjgzNDIgMTIuNjgzNCA3LjMxNjU4IDEyLjY4MzQgNy43MDcxMSAxMi4yOTI5TDEyLjQ3MSA3LjUyODk5WiIgZmlsbD0iIzYxNjE2MSIvPgo8L3N2Zz4K);
+ --jp-icon-move-up: url(data:image/svg+xml;base64,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);
+ --jp-icon-new-folder: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTIwIDZoLThsLTItMkg0Yy0xLjExIDAtMS45OS44OS0xLjk5IDJMMiAxOGMwIDEuMTEuODkgMiAyIDJoMTZjMS4xMSAwIDItLjg5IDItMlY4YzAtMS4xMS0uODktMi0yLTJ6bS0xIDhoLTN2M2gtMnYtM2gtM3YtMmgzVjloMnYzaDN2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-not-trusted: url(data:image/svg+xml;base64,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);
+ --jp-icon-notebook: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtbm90ZWJvb2staWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiNFRjZDMDAiPgogICAgPHBhdGggZD0iTTE4LjcgMy4zdjE1LjRIMy4zVjMuM2gxNS40bTEuNS0xLjVIMS44djE4LjNoMTguM2wuMS0xOC4zeiIvPgogICAgPHBhdGggZD0iTTE2LjUgMTYuNWwtNS40LTQuMy01LjYgNC4zdi0xMWgxMXoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-numbering: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMjIiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAyOCAyOCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CgkJPHBhdGggZD0iTTQgMTlINlYxOS41SDVWMjAuNUg2VjIxSDRWMjJIN1YxOEg0VjE5Wk01IDEwSDZWNkg0VjdINVYxMFpNNCAxM0g1LjhMNCAxNS4xVjE2SDdWMTVINS4yTDcgMTIuOVYxMkg0VjEzWk05IDdWOUgyM1Y3SDlaTTkgMjFIMjNWMTlIOVYyMVpNOSAxNUgyM1YxM0g5VjE1WiIvPgoJPC9nPgo8L3N2Zz4K);
+ --jp-icon-offline-bolt: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZpZXdCb3g9IjAgMCAyNCAyNCIgd2lkdGg9IjE2Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyIDIuMDJjLTUuNTEgMC05Ljk4IDQuNDctOS45OCA5Ljk4czQuNDcgOS45OCA5Ljk4IDkuOTggOS45OC00LjQ3IDkuOTgtOS45OFMxNy41MSAyLjAyIDEyIDIuMDJ6TTExLjQ4IDIwdi02LjI2SDhMMTMgNHY2LjI2aDMuMzVMMTEuNDggMjB6Ii8+CiAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-palette: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE4IDEzVjIwSDRWNkg5LjAyQzkuMDcgNS4yOSA5LjI0IDQuNjIgOS41IDRINEMyLjkgNCAyIDQuOSAyIDZWMjBDMiAyMS4xIDIuOSAyMiA0IDIySDE4QzE5LjEgMjIgMjAgMjEuMSAyMCAyMFYxNUwxOCAxM1pNMTkuMyA4Ljg5QzE5Ljc0IDguMTkgMjAgNy4zOCAyMCA2LjVDMjAgNC4wMSAxNy45OSAyIDE1LjUgMkMxMy4wMSAyIDExIDQuMDEgMTEgNi41QzExIDguOTkgMTMuMDEgMTEgMTUuNDkgMTFDMTYuMzcgMTEgMTcuMTkgMTAuNzQgMTcuODggMTAuM0wyMSAxMy40MkwyMi40MiAxMkwxOS4zIDguODlaTTE1LjUgOUMxNC4xMiA5IDEzIDcuODggMTMgNi41QzEzIDUuMTIgMTQuMTIgNCAxNS41IDRDMTYuODggNCAxOCA1LjEyIDE4IDYuNUMxOCA3Ljg4IDE2Ljg4IDkgMTUuNSA5WiIvPgogICAgPHBhdGggZmlsbC1ydWxlPSJldmVub2RkIiBjbGlwLXJ1bGU9ImV2ZW5vZGQiIGQ9Ik00IDZIOS4wMTg5NEM5LjAwNjM5IDYuMTY1MDIgOSA2LjMzMTc2IDkgNi41QzkgOC44MTU3NyAxMC4yMTEgMTAuODQ4NyAxMi4wMzQzIDEySDlWMTRIMTZWMTIuOTgxMUMxNi41NzAzIDEyLjkzNzcgMTcuMTIgMTIuODIwNyAxNy42Mzk2IDEyLjYzOTZMMTggMTNWMjBINFY2Wk04IDhINlYxMEg4VjhaTTYgMTJIOFYxNEg2VjEyWk04IDE2SDZWMThIOFYxNlpNOSAxNkgxNlYxOEg5VjE2WiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-paste: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTE5IDJoLTQuMThDMTQuNC44NCAxMy4zIDAgMTIgMGMtMS4zIDAtMi40Ljg0LTIuODIgMkg1Yy0xLjEgMC0yIC45LTIgMnYxNmMwIDEuMS45IDIgMiAyaDE0YzEuMSAwIDItLjkgMi0yVjRjMC0xLjEtLjktMi0yLTJ6bS03IDBjLjU1IDAgMSAuNDUgMSAxcy0uNDUgMS0xIDEtMS0uNDUtMS0xIC40NS0xIDEtMXptNyAxOEg1VjRoMnYzaDEwVjRoMnYxNnoiLz4KICAgIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-pdf: url(data:image/svg+xml;base64,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);
+ --jp-icon-python: url(data:image/svg+xml;base64,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);
+ --jp-icon-r-kernel: url(data:image/svg+xml;base64,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);
+ --jp-icon-react: url(data:image/svg+xml;base64,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);
+ --jp-icon-redo: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIGhlaWdodD0iMjQiIHZpZXdCb3g9IjAgMCAyNCAyNCIgd2lkdGg9IjE2Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgICA8cGF0aCBkPSJNMCAwaDI0djI0SDB6IiBmaWxsPSJub25lIi8+PHBhdGggZD0iTTE4LjQgMTAuNkMxNi41NSA4Ljk5IDE0LjE1IDggMTEuNSA4Yy00LjY1IDAtOC41OCAzLjAzLTkuOTYgNy4yMkwzLjkgMTZjMS4wNS0zLjE5IDQuMDUtNS41IDcuNi01LjUgMS45NSAwIDMuNzMuNzIgNS4xMiAxLjg4TDEzIDE2aDlWN2wtMy42IDMuNnoiLz4KICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-refresh: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTkgMTMuNWMtMi40OSAwLTQuNS0yLjAxLTQuNS00LjVTNi41MSA0LjUgOSA0LjVjMS4yNCAwIDIuMzYuNTIgMy4xNyAxLjMzTDEwIDhoNVYzbC0xLjc2IDEuNzZDMTIuMTUgMy42OCAxMC42NiAzIDkgMyA1LjY5IDMgMy4wMSA1LjY5IDMuMDEgOVM1LjY5IDE1IDkgMTVjMi45NyAwIDUuNDMtMi4xNiA1LjktNWgtMS41MmMtLjQ2IDItMi4yNCAzLjUtNC4zOCAzLjV6Ii8+CiAgICA8L2c+Cjwvc3ZnPgo=);
+ --jp-icon-regex: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIwIDIwIj4KICA8ZyBjbGFzcz0ianAtaWNvbjIiIGZpbGw9IiM0MTQxNDEiPgogICAgPHJlY3QgeD0iMiIgeT0iMiIgd2lkdGg9IjE2IiBoZWlnaHQ9IjE2Ii8+CiAgPC9nPgoKICA8ZyBjbGFzcz0ianAtaWNvbi1hY2NlbnQyIiBmaWxsPSIjRkZGIj4KICAgIDxjaXJjbGUgY2xhc3M9InN0MiIgY3g9IjUuNSIgY3k9IjE0LjUiIHI9IjEuNSIvPgogICAgPHJlY3QgeD0iMTIiIHk9IjQiIGNsYXNzPSJzdDIiIHdpZHRoPSIxIiBoZWlnaHQ9IjgiLz4KICAgIDxyZWN0IHg9IjguNSIgeT0iNy41IiB0cmFuc2Zvcm09Im1hdHJpeCgwLjg2NiAtMC41IDAuNSAwLjg2NiAtMi4zMjU1IDcuMzIxOSkiIGNsYXNzPSJzdDIiIHdpZHRoPSI4IiBoZWlnaHQ9IjEiLz4KICAgIDxyZWN0IHg9IjEyIiB5PSI0IiB0cmFuc2Zvcm09Im1hdHJpeCgwLjUgLTAuODY2IDAuODY2IDAuNSAtMC42Nzc5IDE0LjgyNTIpIiBjbGFzcz0ic3QyIiB3aWR0aD0iMSIgaGVpZ2h0PSI4Ii8+CiAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-run: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTggNXYxNGwxMS03eiIvPgogICAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-running: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDUxMiA1MTIiPgogIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICA8cGF0aCBkPSJNMjU2IDhDMTE5IDggOCAxMTkgOCAyNTZzMTExIDI0OCAyNDggMjQ4IDI0OC0xMTEgMjQ4LTI0OFMzOTMgOCAyNTYgOHptOTYgMzI4YzAgOC44LTcuMiAxNi0xNiAxNkgxNzZjLTguOCAwLTE2LTcuMi0xNi0xNlYxNzZjMC04LjggNy4yLTE2IDE2LTE2aDE2MGM4LjggMCAxNiA3LjIgMTYgMTZ2MTYweiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-save: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTE3IDNINWMtMS4xMSAwLTIgLjktMiAydjE0YzAgMS4xLjg5IDIgMiAyaDE0YzEuMSAwIDItLjkgMi0yVjdsLTQtNHptLTUgMTZjLTEuNjYgMC0zLTEuMzQtMy0zczEuMzQtMyAzLTMgMyAxLjM0IDMgMy0xLjM0IDMtMyAzem0zLTEwSDVWNWgxMHY0eiIvPgogICAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-search: url(data:image/svg+xml;base64,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);
+ --jp-icon-settings: url(data:image/svg+xml;base64,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);
+ --jp-icon-share: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTYiIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTSAxOCAyIEMgMTYuMzU0OTkgMiAxNSAzLjM1NDk5MDQgMTUgNSBDIDE1IDUuMTkwOTUyOSAxNS4wMjE3OTEgNS4zNzcxMjI0IDE1LjA1NjY0MSA1LjU1ODU5MzggTCA3LjkyMTg3NSA5LjcyMDcwMzEgQyA3LjM5ODUzOTkgOS4yNzc4NTM5IDYuNzMyMDc3MSA5IDYgOSBDIDQuMzU0OTkwNCA5IDMgMTAuMzU0OTkgMyAxMiBDIDMgMTMuNjQ1MDEgNC4zNTQ5OTA0IDE1IDYgMTUgQyA2LjczMjA3NzEgMTUgNy4zOTg1Mzk5IDE0LjcyMjE0NiA3LjkyMTg3NSAxNC4yNzkyOTcgTCAxNS4wNTY2NDEgMTguNDM5NDUzIEMgMTUuMDIxNTU1IDE4LjYyMTUxNCAxNSAxOC44MDgzODYgMTUgMTkgQyAxNSAyMC42NDUwMSAxNi4zNTQ5OSAyMiAxOCAyMiBDIDE5LjY0NTAxIDIyIDIxIDIwLjY0NTAxIDIxIDE5IEMgMjEgMTcuMzU0OTkgMTkuNjQ1MDEgMTYgMTggMTYgQyAxNy4yNjc0OCAxNiAxNi42MDE1OTMgMTYuMjc5MzI4IDE2LjA3ODEyNSAxNi43MjI2NTYgTCA4Ljk0MzM1OTQgMTIuNTU4NTk0IEMgOC45NzgyMDk1IDEyLjM3NzEyMiA5IDEyLjE5MDk1MyA5IDEyIEMgOSAxMS44MDkwNDcgOC45NzgyMDk1IDExLjYyMjg3OCA4Ljk0MzM1OTQgMTEuNDQxNDA2IEwgMTYuMDc4MTI1IDcuMjc5Mjk2OSBDIDE2LjYwMTQ2IDcuNzIyMTQ2MSAxNy4yNjc5MjMgOCAxOCA4IEMgMTkuNjQ1MDEgOCAyMSA2LjY0NTAwOTYgMjEgNSBDIDIxIDMuMzU0OTkwNCAxOS42NDUwMSAyIDE4IDIgeiBNIDE4IDQgQyAxOC41NjQxMjkgNCAxOSA0LjQzNTg3MDYgMTkgNSBDIDE5IDUuNTY0MTI5NCAxOC41NjQxMjkgNiAxOCA2IEMgMTcuNDM1ODcxIDYgMTcgNS41NjQxMjk0IDE3IDUgQyAxNyA0LjQzNTg3MDYgMTcuNDM1ODcxIDQgMTggNCB6IE0gNiAxMSBDIDYuNTY0MTI5NCAxMSA3IDExLjQzNTg3MSA3IDEyIEMgNyAxMi41NjQxMjkgNi41NjQxMjk0IDEzIDYgMTMgQyA1LjQzNTg3MDYgMTMgNSAxMi41NjQxMjkgNSAxMiBDIDUgMTEuNDM1ODcxIDUuNDM1ODcwNiAxMSA2IDExIHogTSAxOCAxOCBDIDE4LjU2NDEyOSAxOCAxOSAxOC40MzU4NzEgMTkgMTkgQyAxOSAxOS41NjQxMjkgMTguNTY0MTI5IDIwIDE4IDIwIEMgMTcuNDM1ODcxIDIwIDE3IDE5LjU2NDEyOSAxNyAxOSBDIDE3IDE4LjQzNTg3MSAxNy40MzU4NzEgMTggMTggMTggeiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-spreadsheet: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8cGF0aCBjbGFzcz0ianAtaWNvbi1jb250cmFzdDEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNENBRjUwIiBkPSJNMi4yIDIuMnYxNy42aDE3LjZWMi4ySDIuMnptMTUuNCA3LjdoLTUuNVY0LjRoNS41djUuNXpNOS45IDQuNHY1LjVINC40VjQuNGg1LjV6bS01LjUgNy43aDUuNXY1LjVINC40di01LjV6bTcuNyA1LjV2LTUuNWg1LjV2NS41aC01LjV6Ii8+Cjwvc3ZnPgo=);
+ --jp-icon-stop: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik02IDZoMTJ2MTJINnoiLz4KICAgIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-tab: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTIxIDNIM2MtMS4xIDAtMiAuOS0yIDJ2MTRjMCAxLjEuOSAyIDIgMmgxOGMxLjEgMCAyLS45IDItMlY1YzAtMS4xLS45LTItMi0yem0wIDE2SDNWNWgxMHY0aDh2MTB6Ii8+CiAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-table-rows: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik0yMSw4SDNWNGgxOFY4eiBNMjEsMTBIM3Y0aDE4VjEweiBNMjEsMTZIM3Y0aDE4VjE2eiIvPgogICAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-tag: url(data:image/svg+xml;base64,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);
+ --jp-icon-terminal: url(data:image/svg+xml;base64,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);
+ --jp-icon-text-editor: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtdGV4dC1lZGl0b3ItaWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xNSAxNUgzdjJoMTJ2LTJ6bTAtOEgzdjJoMTJWN3pNMyAxM2gxOHYtMkgzdjJ6bTAgOGgxOHYtMkgzdjJ6TTMgM3YyaDE4VjNIM3oiLz4KPC9zdmc+Cg==);
+ --jp-icon-toc: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIj4KICAgIDxwYXRoIGQ9Ik03LDVIMjFWN0g3VjVNNywxM1YxMUgyMVYxM0g3TTQsNC41QTEuNSwxLjUgMCAwLDEgNS41LDZBMS41LDEuNSAwIDAsMSA0LDcuNUExLjUsMS41IDAgMCwxIDIuNSw2QTEuNSwxLjUgMCAwLDEgNCw0LjVNNCwxMC41QTEuNSwxLjUgMCAwLDEgNS41LDEyQTEuNSwxLjUgMCAwLDEgNCwxMy41QTEuNSwxLjUgMCAwLDEgMi41LDEyQTEuNSwxLjUgMCAwLDEgNCwxMC41TTcsMTlWMTdIMjFWMTlIN000LDE2LjVBMS41LDEuNSAwIDAsMSA1LjUsMThBMS41LDEuNSAwIDAsMSA0LDE5LjVBMS41LDEuNSAwIDAsMSAyLjUsMThBMS41LDEuNSAwIDAsMSA0LDE2LjVaIiAvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-tree-view: url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik0yMiAxMVYzaC03djNIOVYzSDJ2OGg3VjhoMnYxMGg0djNoN3YtOGgtN3YzaC0yVjhoMnYzeiIvPgogICAgPC9nPgo8L3N2Zz4K);
+ --jp-icon-trusted: url(data:image/svg+xml;base64,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);
+ --jp-icon-undo: url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyLjUgOGMtMi42NSAwLTUuMDUuOTktNi45IDIuNkwyIDd2OWg5bC0zLjYyLTMuNjJjMS4zOS0xLjE2IDMuMTYtMS44OCA1LjEyLTEuODggMy41NCAwIDYuNTUgMi4zMSA3LjYgNS41bDIuMzctLjc4QzIxLjA4IDExLjAzIDE3LjE1IDggMTIuNSA4eiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-user: url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTYiIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE2IDdhNCA0IDAgMTEtOCAwIDQgNCAwIDAxOCAwek0xMiAxNGE3IDcgMCAwMC03IDdoMTRhNyA3IDAgMDAtNy03eiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-users: url(data:image/svg+xml;base64,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);
+ --jp-icon-vega: url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtaWNvbjEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMjEyMTIxIj4KICAgIDxwYXRoIGQ9Ik0xMC42IDUuNGwyLjItMy4ySDIuMnY3LjNsNC02LjZ6Ii8+CiAgICA8cGF0aCBkPSJNMTUuOCAyLjJsLTQuNCA2LjZMNyA2LjNsLTQuOCA4djUuNWgxNy42VjIuMmgtNHptLTcgMTUuNEg1LjV2LTQuNGgzLjN2NC40em00LjQgMEg5LjhWOS44aDMuNHY3Ljh6bTQuNCAwaC0zLjRWNi41aDMuNHYxMS4xeiIvPgogIDwvZz4KPC9zdmc+Cg==);
+ --jp-icon-word: url(data:image/svg+xml;base64,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);
+ --jp-icon-yaml: url(data:image/svg+xml;base64,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);
+}
+
+/* Icon CSS class declarations */
+
+.jp-AddAboveIcon {
+ background-image: var(--jp-icon-add-above);
+}
+
+.jp-AddBelowIcon {
+ background-image: var(--jp-icon-add-below);
+}
+
+.jp-AddIcon {
+ background-image: var(--jp-icon-add);
+}
+
+.jp-BellIcon {
+ background-image: var(--jp-icon-bell);
+}
+
+.jp-BugDotIcon {
+ background-image: var(--jp-icon-bug-dot);
+}
+
+.jp-BugIcon {
+ background-image: var(--jp-icon-bug);
+}
+
+.jp-BuildIcon {
+ background-image: var(--jp-icon-build);
+}
+
+.jp-CaretDownEmptyIcon {
+ background-image: var(--jp-icon-caret-down-empty);
+}
+
+.jp-CaretDownEmptyThinIcon {
+ background-image: var(--jp-icon-caret-down-empty-thin);
+}
+
+.jp-CaretDownIcon {
+ background-image: var(--jp-icon-caret-down);
+}
+
+.jp-CaretLeftIcon {
+ background-image: var(--jp-icon-caret-left);
+}
+
+.jp-CaretRightIcon {
+ background-image: var(--jp-icon-caret-right);
+}
+
+.jp-CaretUpEmptyThinIcon {
+ background-image: var(--jp-icon-caret-up-empty-thin);
+}
+
+.jp-CaretUpIcon {
+ background-image: var(--jp-icon-caret-up);
+}
+
+.jp-CaseSensitiveIcon {
+ background-image: var(--jp-icon-case-sensitive);
+}
+
+.jp-CheckIcon {
+ background-image: var(--jp-icon-check);
+}
+
+.jp-CircleEmptyIcon {
+ background-image: var(--jp-icon-circle-empty);
+}
+
+.jp-CircleIcon {
+ background-image: var(--jp-icon-circle);
+}
+
+.jp-ClearIcon {
+ background-image: var(--jp-icon-clear);
+}
+
+.jp-CloseIcon {
+ background-image: var(--jp-icon-close);
+}
+
+.jp-CodeCheckIcon {
+ background-image: var(--jp-icon-code-check);
+}
+
+.jp-CodeIcon {
+ background-image: var(--jp-icon-code);
+}
+
+.jp-CollapseAllIcon {
+ background-image: var(--jp-icon-collapse-all);
+}
+
+.jp-ConsoleIcon {
+ background-image: var(--jp-icon-console);
+}
+
+.jp-CopyIcon {
+ background-image: var(--jp-icon-copy);
+}
+
+.jp-CopyrightIcon {
+ background-image: var(--jp-icon-copyright);
+}
+
+.jp-CutIcon {
+ background-image: var(--jp-icon-cut);
+}
+
+.jp-DeleteIcon {
+ background-image: var(--jp-icon-delete);
+}
+
+.jp-DownloadIcon {
+ background-image: var(--jp-icon-download);
+}
+
+.jp-DuplicateIcon {
+ background-image: var(--jp-icon-duplicate);
+}
+
+.jp-EditIcon {
+ background-image: var(--jp-icon-edit);
+}
+
+.jp-EllipsesIcon {
+ background-image: var(--jp-icon-ellipses);
+}
+
+.jp-ErrorIcon {
+ background-image: var(--jp-icon-error);
+}
+
+.jp-ExpandAllIcon {
+ background-image: var(--jp-icon-expand-all);
+}
+
+.jp-ExtensionIcon {
+ background-image: var(--jp-icon-extension);
+}
+
+.jp-FastForwardIcon {
+ background-image: var(--jp-icon-fast-forward);
+}
+
+.jp-FileIcon {
+ background-image: var(--jp-icon-file);
+}
+
+.jp-FileUploadIcon {
+ background-image: var(--jp-icon-file-upload);
+}
+
+.jp-FilterDotIcon {
+ background-image: var(--jp-icon-filter-dot);
+}
+
+.jp-FilterIcon {
+ background-image: var(--jp-icon-filter);
+}
+
+.jp-FilterListIcon {
+ background-image: var(--jp-icon-filter-list);
+}
+
+.jp-FolderFavoriteIcon {
+ background-image: var(--jp-icon-folder-favorite);
+}
+
+.jp-FolderIcon {
+ background-image: var(--jp-icon-folder);
+}
+
+.jp-HomeIcon {
+ background-image: var(--jp-icon-home);
+}
+
+.jp-Html5Icon {
+ background-image: var(--jp-icon-html5);
+}
+
+.jp-ImageIcon {
+ background-image: var(--jp-icon-image);
+}
+
+.jp-InfoIcon {
+ background-image: var(--jp-icon-info);
+}
+
+.jp-InspectorIcon {
+ background-image: var(--jp-icon-inspector);
+}
+
+.jp-JsonIcon {
+ background-image: var(--jp-icon-json);
+}
+
+.jp-JuliaIcon {
+ background-image: var(--jp-icon-julia);
+}
+
+.jp-JupyterFaviconIcon {
+ background-image: var(--jp-icon-jupyter-favicon);
+}
+
+.jp-JupyterIcon {
+ background-image: var(--jp-icon-jupyter);
+}
+
+.jp-JupyterlabWordmarkIcon {
+ background-image: var(--jp-icon-jupyterlab-wordmark);
+}
+
+.jp-KernelIcon {
+ background-image: var(--jp-icon-kernel);
+}
+
+.jp-KeyboardIcon {
+ background-image: var(--jp-icon-keyboard);
+}
+
+.jp-LaunchIcon {
+ background-image: var(--jp-icon-launch);
+}
+
+.jp-LauncherIcon {
+ background-image: var(--jp-icon-launcher);
+}
+
+.jp-LineFormIcon {
+ background-image: var(--jp-icon-line-form);
+}
+
+.jp-LinkIcon {
+ background-image: var(--jp-icon-link);
+}
+
+.jp-ListIcon {
+ background-image: var(--jp-icon-list);
+}
+
+.jp-MarkdownIcon {
+ background-image: var(--jp-icon-markdown);
+}
+
+.jp-MoveDownIcon {
+ background-image: var(--jp-icon-move-down);
+}
+
+.jp-MoveUpIcon {
+ background-image: var(--jp-icon-move-up);
+}
+
+.jp-NewFolderIcon {
+ background-image: var(--jp-icon-new-folder);
+}
+
+.jp-NotTrustedIcon {
+ background-image: var(--jp-icon-not-trusted);
+}
+
+.jp-NotebookIcon {
+ background-image: var(--jp-icon-notebook);
+}
+
+.jp-NumberingIcon {
+ background-image: var(--jp-icon-numbering);
+}
+
+.jp-OfflineBoltIcon {
+ background-image: var(--jp-icon-offline-bolt);
+}
+
+.jp-PaletteIcon {
+ background-image: var(--jp-icon-palette);
+}
+
+.jp-PasteIcon {
+ background-image: var(--jp-icon-paste);
+}
+
+.jp-PdfIcon {
+ background-image: var(--jp-icon-pdf);
+}
+
+.jp-PythonIcon {
+ background-image: var(--jp-icon-python);
+}
+
+.jp-RKernelIcon {
+ background-image: var(--jp-icon-r-kernel);
+}
+
+.jp-ReactIcon {
+ background-image: var(--jp-icon-react);
+}
+
+.jp-RedoIcon {
+ background-image: var(--jp-icon-redo);
+}
+
+.jp-RefreshIcon {
+ background-image: var(--jp-icon-refresh);
+}
+
+.jp-RegexIcon {
+ background-image: var(--jp-icon-regex);
+}
+
+.jp-RunIcon {
+ background-image: var(--jp-icon-run);
+}
+
+.jp-RunningIcon {
+ background-image: var(--jp-icon-running);
+}
+
+.jp-SaveIcon {
+ background-image: var(--jp-icon-save);
+}
+
+.jp-SearchIcon {
+ background-image: var(--jp-icon-search);
+}
+
+.jp-SettingsIcon {
+ background-image: var(--jp-icon-settings);
+}
+
+.jp-ShareIcon {
+ background-image: var(--jp-icon-share);
+}
+
+.jp-SpreadsheetIcon {
+ background-image: var(--jp-icon-spreadsheet);
+}
+
+.jp-StopIcon {
+ background-image: var(--jp-icon-stop);
+}
+
+.jp-TabIcon {
+ background-image: var(--jp-icon-tab);
+}
+
+.jp-TableRowsIcon {
+ background-image: var(--jp-icon-table-rows);
+}
+
+.jp-TagIcon {
+ background-image: var(--jp-icon-tag);
+}
+
+.jp-TerminalIcon {
+ background-image: var(--jp-icon-terminal);
+}
+
+.jp-TextEditorIcon {
+ background-image: var(--jp-icon-text-editor);
+}
+
+.jp-TocIcon {
+ background-image: var(--jp-icon-toc);
+}
+
+.jp-TreeViewIcon {
+ background-image: var(--jp-icon-tree-view);
+}
+
+.jp-TrustedIcon {
+ background-image: var(--jp-icon-trusted);
+}
+
+.jp-UndoIcon {
+ background-image: var(--jp-icon-undo);
+}
+
+.jp-UserIcon {
+ background-image: var(--jp-icon-user);
+}
+
+.jp-UsersIcon {
+ background-image: var(--jp-icon-users);
+}
+
+.jp-VegaIcon {
+ background-image: var(--jp-icon-vega);
+}
+
+.jp-WordIcon {
+ background-image: var(--jp-icon-word);
+}
+
+.jp-YamlIcon {
+ background-image: var(--jp-icon-yaml);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/**
+ * (DEPRECATED) Support for consuming icons as CSS background images
+ */
+
+.jp-Icon,
+.jp-MaterialIcon {
+ background-position: center;
+ background-repeat: no-repeat;
+ background-size: 16px;
+ min-width: 16px;
+ min-height: 16px;
+}
+
+.jp-Icon-cover {
+ background-position: center;
+ background-repeat: no-repeat;
+ background-size: cover;
+}
+
+/**
+ * (DEPRECATED) Support for specific CSS icon sizes
+ */
+
+.jp-Icon-16 {
+ background-size: 16px;
+ min-width: 16px;
+ min-height: 16px;
+}
+
+.jp-Icon-18 {
+ background-size: 18px;
+ min-width: 18px;
+ min-height: 18px;
+}
+
+.jp-Icon-20 {
+ background-size: 20px;
+ min-width: 20px;
+ min-height: 20px;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.lm-TabBar .lm-TabBar-addButton {
+ align-items: center;
+ display: flex;
+ padding: 4px;
+ padding-bottom: 5px;
+ margin-right: 1px;
+ background-color: var(--jp-layout-color2);
+}
+
+.lm-TabBar .lm-TabBar-addButton:hover {
+ background-color: var(--jp-layout-color1);
+}
+
+.lm-DockPanel-tabBar .lm-TabBar-tab {
+ width: var(--jp-private-horizontal-tab-width);
+}
+
+.lm-DockPanel-tabBar .lm-TabBar-content {
+ flex: unset;
+}
+
+.lm-DockPanel-tabBar[data-orientation='horizontal'] {
+ flex: 1 1 auto;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/**
+ * Support for icons as inline SVG HTMLElements
+ */
+
+/* recolor the primary elements of an icon */
+.jp-icon0[fill] {
+ fill: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon1[fill] {
+ fill: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon2[fill] {
+ fill: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon3[fill] {
+ fill: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon4[fill] {
+ fill: var(--jp-inverse-layout-color4);
+}
+
+.jp-icon0[stroke] {
+ stroke: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon1[stroke] {
+ stroke: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon2[stroke] {
+ stroke: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon3[stroke] {
+ stroke: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon4[stroke] {
+ stroke: var(--jp-inverse-layout-color4);
+}
+
+/* recolor the accent elements of an icon */
+.jp-icon-accent0[fill] {
+ fill: var(--jp-layout-color0);
+}
+
+.jp-icon-accent1[fill] {
+ fill: var(--jp-layout-color1);
+}
+
+.jp-icon-accent2[fill] {
+ fill: var(--jp-layout-color2);
+}
+
+.jp-icon-accent3[fill] {
+ fill: var(--jp-layout-color3);
+}
+
+.jp-icon-accent4[fill] {
+ fill: var(--jp-layout-color4);
+}
+
+.jp-icon-accent0[stroke] {
+ stroke: var(--jp-layout-color0);
+}
+
+.jp-icon-accent1[stroke] {
+ stroke: var(--jp-layout-color1);
+}
+
+.jp-icon-accent2[stroke] {
+ stroke: var(--jp-layout-color2);
+}
+
+.jp-icon-accent3[stroke] {
+ stroke: var(--jp-layout-color3);
+}
+
+.jp-icon-accent4[stroke] {
+ stroke: var(--jp-layout-color4);
+}
+
+/* set the color of an icon to transparent */
+.jp-icon-none[fill] {
+ fill: none;
+}
+
+.jp-icon-none[stroke] {
+ stroke: none;
+}
+
+/* brand icon colors. Same for light and dark */
+.jp-icon-brand0[fill] {
+ fill: var(--jp-brand-color0);
+}
+
+.jp-icon-brand1[fill] {
+ fill: var(--jp-brand-color1);
+}
+
+.jp-icon-brand2[fill] {
+ fill: var(--jp-brand-color2);
+}
+
+.jp-icon-brand3[fill] {
+ fill: var(--jp-brand-color3);
+}
+
+.jp-icon-brand4[fill] {
+ fill: var(--jp-brand-color4);
+}
+
+.jp-icon-brand0[stroke] {
+ stroke: var(--jp-brand-color0);
+}
+
+.jp-icon-brand1[stroke] {
+ stroke: var(--jp-brand-color1);
+}
+
+.jp-icon-brand2[stroke] {
+ stroke: var(--jp-brand-color2);
+}
+
+.jp-icon-brand3[stroke] {
+ stroke: var(--jp-brand-color3);
+}
+
+.jp-icon-brand4[stroke] {
+ stroke: var(--jp-brand-color4);
+}
+
+/* warn icon colors. Same for light and dark */
+.jp-icon-warn0[fill] {
+ fill: var(--jp-warn-color0);
+}
+
+.jp-icon-warn1[fill] {
+ fill: var(--jp-warn-color1);
+}
+
+.jp-icon-warn2[fill] {
+ fill: var(--jp-warn-color2);
+}
+
+.jp-icon-warn3[fill] {
+ fill: var(--jp-warn-color3);
+}
+
+.jp-icon-warn0[stroke] {
+ stroke: var(--jp-warn-color0);
+}
+
+.jp-icon-warn1[stroke] {
+ stroke: var(--jp-warn-color1);
+}
+
+.jp-icon-warn2[stroke] {
+ stroke: var(--jp-warn-color2);
+}
+
+.jp-icon-warn3[stroke] {
+ stroke: var(--jp-warn-color3);
+}
+
+/* icon colors that contrast well with each other and most backgrounds */
+.jp-icon-contrast0[fill] {
+ fill: var(--jp-icon-contrast-color0);
+}
+
+.jp-icon-contrast1[fill] {
+ fill: var(--jp-icon-contrast-color1);
+}
+
+.jp-icon-contrast2[fill] {
+ fill: var(--jp-icon-contrast-color2);
+}
+
+.jp-icon-contrast3[fill] {
+ fill: var(--jp-icon-contrast-color3);
+}
+
+.jp-icon-contrast0[stroke] {
+ stroke: var(--jp-icon-contrast-color0);
+}
+
+.jp-icon-contrast1[stroke] {
+ stroke: var(--jp-icon-contrast-color1);
+}
+
+.jp-icon-contrast2[stroke] {
+ stroke: var(--jp-icon-contrast-color2);
+}
+
+.jp-icon-contrast3[stroke] {
+ stroke: var(--jp-icon-contrast-color3);
+}
+
+.jp-icon-dot[fill] {
+ fill: var(--jp-warn-color0);
+}
+
+.jp-jupyter-icon-color[fill] {
+ fill: var(--jp-jupyter-icon-color, var(--jp-warn-color0));
+}
+
+.jp-notebook-icon-color[fill] {
+ fill: var(--jp-notebook-icon-color, var(--jp-warn-color0));
+}
+
+.jp-json-icon-color[fill] {
+ fill: var(--jp-json-icon-color, var(--jp-warn-color1));
+}
+
+.jp-console-icon-color[fill] {
+ fill: var(--jp-console-icon-color, white);
+}
+
+.jp-console-icon-background-color[fill] {
+ fill: var(--jp-console-icon-background-color, var(--jp-brand-color1));
+}
+
+.jp-terminal-icon-color[fill] {
+ fill: var(--jp-terminal-icon-color, var(--jp-layout-color2));
+}
+
+.jp-terminal-icon-background-color[fill] {
+ fill: var(
+ --jp-terminal-icon-background-color,
+ var(--jp-inverse-layout-color2)
+ );
+}
+
+.jp-text-editor-icon-color[fill] {
+ fill: var(--jp-text-editor-icon-color, var(--jp-inverse-layout-color3));
+}
+
+.jp-inspector-icon-color[fill] {
+ fill: var(--jp-inspector-icon-color, var(--jp-inverse-layout-color3));
+}
+
+/* CSS for icons in selected filebrowser listing items */
+.jp-DirListing-item.jp-mod-selected .jp-icon-selectable[fill] {
+ fill: #fff;
+}
+
+.jp-DirListing-item.jp-mod-selected .jp-icon-selectable-inverse[fill] {
+ fill: var(--jp-brand-color1);
+}
+
+/* stylelint-disable selector-max-class, selector-max-compound-selectors */
+
+/**
+* TODO: come up with non css-hack solution for showing the busy icon on top
+* of the close icon
+* CSS for complex behavior of close icon of tabs in the main area tabbar
+*/
+.lm-DockPanel-tabBar
+ .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty
+ > .lm-TabBar-tabCloseIcon
+ > :not(:hover)
+ > .jp-icon3[fill] {
+ fill: none;
+}
+
+.lm-DockPanel-tabBar
+ .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty
+ > .lm-TabBar-tabCloseIcon
+ > :not(:hover)
+ > .jp-icon-busy[fill] {
+ fill: var(--jp-inverse-layout-color3);
+}
+
+/* stylelint-enable selector-max-class, selector-max-compound-selectors */
+
+/* CSS for icons in status bar */
+#jp-main-statusbar .jp-mod-selected .jp-icon-selectable[fill] {
+ fill: #fff;
+}
+
+#jp-main-statusbar .jp-mod-selected .jp-icon-selectable-inverse[fill] {
+ fill: var(--jp-brand-color1);
+}
+
+/* special handling for splash icon CSS. While the theme CSS reloads during
+ splash, the splash icon can loose theming. To prevent that, we set a
+ default for its color variable */
+:root {
+ --jp-warn-color0: var(--md-orange-700);
+}
+
+/* not sure what to do with this one, used in filebrowser listing */
+.jp-DragIcon {
+ margin-right: 4px;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/**
+ * Support for alt colors for icons as inline SVG HTMLElements
+ */
+
+/* alt recolor the primary elements of an icon */
+.jp-icon-alt .jp-icon0[fill] {
+ fill: var(--jp-layout-color0);
+}
+
+.jp-icon-alt .jp-icon1[fill] {
+ fill: var(--jp-layout-color1);
+}
+
+.jp-icon-alt .jp-icon2[fill] {
+ fill: var(--jp-layout-color2);
+}
+
+.jp-icon-alt .jp-icon3[fill] {
+ fill: var(--jp-layout-color3);
+}
+
+.jp-icon-alt .jp-icon4[fill] {
+ fill: var(--jp-layout-color4);
+}
+
+.jp-icon-alt .jp-icon0[stroke] {
+ stroke: var(--jp-layout-color0);
+}
+
+.jp-icon-alt .jp-icon1[stroke] {
+ stroke: var(--jp-layout-color1);
+}
+
+.jp-icon-alt .jp-icon2[stroke] {
+ stroke: var(--jp-layout-color2);
+}
+
+.jp-icon-alt .jp-icon3[stroke] {
+ stroke: var(--jp-layout-color3);
+}
+
+.jp-icon-alt .jp-icon4[stroke] {
+ stroke: var(--jp-layout-color4);
+}
+
+/* alt recolor the accent elements of an icon */
+.jp-icon-alt .jp-icon-accent0[fill] {
+ fill: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon-alt .jp-icon-accent1[fill] {
+ fill: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon-alt .jp-icon-accent2[fill] {
+ fill: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon-alt .jp-icon-accent3[fill] {
+ fill: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon-alt .jp-icon-accent4[fill] {
+ fill: var(--jp-inverse-layout-color4);
+}
+
+.jp-icon-alt .jp-icon-accent0[stroke] {
+ stroke: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon-alt .jp-icon-accent1[stroke] {
+ stroke: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon-alt .jp-icon-accent2[stroke] {
+ stroke: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon-alt .jp-icon-accent3[stroke] {
+ stroke: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon-alt .jp-icon-accent4[stroke] {
+ stroke: var(--jp-inverse-layout-color4);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-icon-hoverShow:not(:hover) .jp-icon-hoverShow-content {
+ display: none !important;
+}
+
+/**
+ * Support for hover colors for icons as inline SVG HTMLElements
+ */
+
+/**
+ * regular colors
+ */
+
+/* recolor the primary elements of an icon */
+.jp-icon-hover :hover .jp-icon0-hover[fill] {
+ fill: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon-hover :hover .jp-icon1-hover[fill] {
+ fill: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon-hover :hover .jp-icon2-hover[fill] {
+ fill: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon-hover :hover .jp-icon3-hover[fill] {
+ fill: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon-hover :hover .jp-icon4-hover[fill] {
+ fill: var(--jp-inverse-layout-color4);
+}
+
+.jp-icon-hover :hover .jp-icon0-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon-hover :hover .jp-icon1-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon-hover :hover .jp-icon2-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon-hover :hover .jp-icon3-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon-hover :hover .jp-icon4-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color4);
+}
+
+/* recolor the accent elements of an icon */
+.jp-icon-hover :hover .jp-icon-accent0-hover[fill] {
+ fill: var(--jp-layout-color0);
+}
+
+.jp-icon-hover :hover .jp-icon-accent1-hover[fill] {
+ fill: var(--jp-layout-color1);
+}
+
+.jp-icon-hover :hover .jp-icon-accent2-hover[fill] {
+ fill: var(--jp-layout-color2);
+}
+
+.jp-icon-hover :hover .jp-icon-accent3-hover[fill] {
+ fill: var(--jp-layout-color3);
+}
+
+.jp-icon-hover :hover .jp-icon-accent4-hover[fill] {
+ fill: var(--jp-layout-color4);
+}
+
+.jp-icon-hover :hover .jp-icon-accent0-hover[stroke] {
+ stroke: var(--jp-layout-color0);
+}
+
+.jp-icon-hover :hover .jp-icon-accent1-hover[stroke] {
+ stroke: var(--jp-layout-color1);
+}
+
+.jp-icon-hover :hover .jp-icon-accent2-hover[stroke] {
+ stroke: var(--jp-layout-color2);
+}
+
+.jp-icon-hover :hover .jp-icon-accent3-hover[stroke] {
+ stroke: var(--jp-layout-color3);
+}
+
+.jp-icon-hover :hover .jp-icon-accent4-hover[stroke] {
+ stroke: var(--jp-layout-color4);
+}
+
+/* set the color of an icon to transparent */
+.jp-icon-hover :hover .jp-icon-none-hover[fill] {
+ fill: none;
+}
+
+.jp-icon-hover :hover .jp-icon-none-hover[stroke] {
+ stroke: none;
+}
+
+/**
+ * inverse colors
+ */
+
+/* inverse recolor the primary elements of an icon */
+.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[fill] {
+ fill: var(--jp-layout-color0);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[fill] {
+ fill: var(--jp-layout-color1);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[fill] {
+ fill: var(--jp-layout-color2);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[fill] {
+ fill: var(--jp-layout-color3);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[fill] {
+ fill: var(--jp-layout-color4);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[stroke] {
+ stroke: var(--jp-layout-color0);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[stroke] {
+ stroke: var(--jp-layout-color1);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[stroke] {
+ stroke: var(--jp-layout-color2);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[stroke] {
+ stroke: var(--jp-layout-color3);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[stroke] {
+ stroke: var(--jp-layout-color4);
+}
+
+/* inverse recolor the accent elements of an icon */
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[fill] {
+ fill: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[fill] {
+ fill: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[fill] {
+ fill: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[fill] {
+ fill: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[fill] {
+ fill: var(--jp-inverse-layout-color4);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color0);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color1);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color2);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color3);
+}
+
+.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[stroke] {
+ stroke: var(--jp-inverse-layout-color4);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-IFrame {
+ width: 100%;
+ height: 100%;
+}
+
+.jp-IFrame > iframe {
+ border: none;
+}
+
+/*
+When drag events occur, `lm-mod-override-cursor` is added to the body.
+Because iframes steal all cursor events, the following two rules are necessary
+to suppress pointer events while resize drags are occurring. There may be a
+better solution to this problem.
+*/
+body.lm-mod-override-cursor .jp-IFrame {
+ position: relative;
+}
+
+body.lm-mod-override-cursor .jp-IFrame::before {
+ content: '';
+ position: absolute;
+ top: 0;
+ left: 0;
+ right: 0;
+ bottom: 0;
+ background: transparent;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2016, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-HoverBox {
+ position: fixed;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-FormGroup-content fieldset {
+ border: none;
+ padding: 0;
+ min-width: 0;
+ width: 100%;
+}
+
+/* stylelint-disable selector-max-type */
+
+.jp-FormGroup-content fieldset .jp-inputFieldWrapper input,
+.jp-FormGroup-content fieldset .jp-inputFieldWrapper select,
+.jp-FormGroup-content fieldset .jp-inputFieldWrapper textarea {
+ font-size: var(--jp-content-font-size2);
+ border-color: var(--jp-input-border-color);
+ border-style: solid;
+ border-radius: var(--jp-border-radius);
+ border-width: 1px;
+ padding: 6px 8px;
+ background: none;
+ color: var(--jp-ui-font-color0);
+ height: inherit;
+}
+
+.jp-FormGroup-content fieldset input[type='checkbox'] {
+ position: relative;
+ top: 2px;
+ margin-left: 0;
+}
+
+.jp-FormGroup-content button.jp-mod-styled {
+ cursor: pointer;
+}
+
+.jp-FormGroup-content .checkbox label {
+ cursor: pointer;
+ font-size: var(--jp-content-font-size1);
+}
+
+.jp-FormGroup-content .jp-root > fieldset > legend {
+ display: none;
+}
+
+.jp-FormGroup-content .jp-root > fieldset > p {
+ display: none;
+}
+
+/** copy of `input.jp-mod-styled:focus` style */
+.jp-FormGroup-content fieldset input:focus,
+.jp-FormGroup-content fieldset select:focus {
+ -moz-outline-radius: unset;
+ outline: var(--jp-border-width) solid var(--md-blue-500);
+ outline-offset: -1px;
+ box-shadow: inset 0 0 4px var(--md-blue-300);
+}
+
+.jp-FormGroup-content fieldset input:hover:not(:focus),
+.jp-FormGroup-content fieldset select:hover:not(:focus) {
+ background-color: var(--jp-border-color2);
+}
+
+/* stylelint-enable selector-max-type */
+
+.jp-FormGroup-content .checkbox .field-description {
+ /* Disable default description field for checkbox:
+ because other widgets do not have description fields,
+ we add descriptions to each widget on the field level.
+ */
+ display: none;
+}
+
+.jp-FormGroup-content #root__description {
+ display: none;
+}
+
+.jp-FormGroup-content .jp-modifiedIndicator {
+ width: 5px;
+ background-color: var(--jp-brand-color2);
+ margin-top: 0;
+ margin-left: calc(var(--jp-private-settingeditor-modifier-indent) * -1);
+ flex-shrink: 0;
+}
+
+.jp-FormGroup-content .jp-modifiedIndicator.jp-errorIndicator {
+ background-color: var(--jp-error-color0);
+ margin-right: 0.5em;
+}
+
+/* RJSF ARRAY style */
+
+.jp-arrayFieldWrapper legend {
+ font-size: var(--jp-content-font-size2);
+ color: var(--jp-ui-font-color0);
+ flex-basis: 100%;
+ padding: 4px 0;
+ font-weight: var(--jp-content-heading-font-weight);
+ border-bottom: 1px solid var(--jp-border-color2);
+}
+
+.jp-arrayFieldWrapper .field-description {
+ padding: 4px 0;
+ white-space: pre-wrap;
+}
+
+.jp-arrayFieldWrapper .array-item {
+ width: 100%;
+ border: 1px solid var(--jp-border-color2);
+ border-radius: 4px;
+ margin: 4px;
+}
+
+.jp-ArrayOperations {
+ display: flex;
+ margin-left: 8px;
+}
+
+.jp-ArrayOperationsButton {
+ margin: 2px;
+}
+
+.jp-ArrayOperationsButton .jp-icon3[fill] {
+ fill: var(--jp-ui-font-color0);
+}
+
+button.jp-ArrayOperationsButton.jp-mod-styled:disabled {
+ cursor: not-allowed;
+ opacity: 0.5;
+}
+
+/* RJSF form validation error */
+
+.jp-FormGroup-content .validationErrors {
+ color: var(--jp-error-color0);
+}
+
+/* Hide panel level error as duplicated the field level error */
+.jp-FormGroup-content .panel.errors {
+ display: none;
+}
+
+/* RJSF normal content (settings-editor) */
+
+.jp-FormGroup-contentNormal {
+ display: flex;
+ align-items: center;
+ flex-wrap: wrap;
+}
+
+.jp-FormGroup-contentNormal .jp-FormGroup-contentItem {
+ margin-left: 7px;
+ color: var(--jp-ui-font-color0);
+}
+
+.jp-FormGroup-contentNormal .jp-FormGroup-description {
+ flex-basis: 100%;
+ padding: 4px 7px;
+}
+
+.jp-FormGroup-contentNormal .jp-FormGroup-default {
+ flex-basis: 100%;
+ padding: 4px 7px;
+}
+
+.jp-FormGroup-contentNormal .jp-FormGroup-fieldLabel {
+ font-size: var(--jp-content-font-size1);
+ font-weight: normal;
+ min-width: 120px;
+}
+
+.jp-FormGroup-contentNormal fieldset:not(:first-child) {
+ margin-left: 7px;
+}
+
+.jp-FormGroup-contentNormal .field-array-of-string .array-item {
+ /* Display `jp-ArrayOperations` buttons side-by-side with content except
+ for small screens where flex-wrap will place them one below the other.
+ */
+ display: flex;
+ align-items: center;
+ flex-wrap: wrap;
+}
+
+.jp-FormGroup-contentNormal .jp-objectFieldWrapper .form-group {
+ padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent);
+ margin-top: 2px;
+}
+
+/* RJSF compact content (metadata-form) */
+
+.jp-FormGroup-content.jp-FormGroup-contentCompact {
+ width: 100%;
+}
+
+.jp-FormGroup-contentCompact .form-group {
+ display: flex;
+ padding: 0.5em 0.2em 0.5em 0;
+}
+
+.jp-FormGroup-contentCompact
+ .jp-FormGroup-compactTitle
+ .jp-FormGroup-description {
+ font-size: var(--jp-ui-font-size1);
+ color: var(--jp-ui-font-color2);
+}
+
+.jp-FormGroup-contentCompact .jp-FormGroup-fieldLabel {
+ padding-bottom: 0.3em;
+}
+
+.jp-FormGroup-contentCompact .jp-inputFieldWrapper .form-control {
+ width: 100%;
+ box-sizing: border-box;
+}
+
+.jp-FormGroup-contentCompact .jp-arrayFieldWrapper .jp-FormGroup-compactTitle {
+ padding-bottom: 7px;
+}
+
+.jp-FormGroup-contentCompact
+ .jp-objectFieldWrapper
+ .jp-objectFieldWrapper
+ .form-group {
+ padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent);
+ margin-top: 2px;
+}
+
+.jp-FormGroup-contentCompact ul.error-detail {
+ margin-block-start: 0.5em;
+ margin-block-end: 0.5em;
+ padding-inline-start: 1em;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+.jp-SidePanel {
+ display: flex;
+ flex-direction: column;
+ min-width: var(--jp-sidebar-min-width);
+ overflow-y: auto;
+ color: var(--jp-ui-font-color1);
+ background: var(--jp-layout-color1);
+ font-size: var(--jp-ui-font-size1);
+}
+
+.jp-SidePanel-header {
+ flex: 0 0 auto;
+ display: flex;
+ border-bottom: var(--jp-border-width) solid var(--jp-border-color2);
+ font-size: var(--jp-ui-font-size0);
+ font-weight: 600;
+ letter-spacing: 1px;
+ margin: 0;
+ padding: 2px;
+ text-transform: uppercase;
+}
+
+.jp-SidePanel-toolbar {
+ flex: 0 0 auto;
+}
+
+.jp-SidePanel-content {
+ flex: 1 1 auto;
+}
+
+.jp-SidePanel-toolbar,
+.jp-AccordionPanel-toolbar {
+ height: var(--jp-private-toolbar-height);
+}
+
+.jp-SidePanel-toolbar.jp-Toolbar-micro {
+ display: none;
+}
+
+.lm-AccordionPanel .jp-AccordionPanel-title {
+ box-sizing: border-box;
+ line-height: 25px;
+ margin: 0;
+ display: flex;
+ align-items: center;
+ background: var(--jp-layout-color1);
+ color: var(--jp-ui-font-color1);
+ border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);
+ box-shadow: var(--jp-toolbar-box-shadow);
+ font-size: var(--jp-ui-font-size0);
+}
+
+.jp-AccordionPanel-title {
+ cursor: pointer;
+ user-select: none;
+ -moz-user-select: none;
+ -webkit-user-select: none;
+ text-transform: uppercase;
+}
+
+.lm-AccordionPanel[data-orientation='horizontal'] > .jp-AccordionPanel-title {
+ /* Title is rotated for horizontal accordion panel using CSS */
+ display: block;
+ transform-origin: top left;
+ transform: rotate(-90deg) translate(-100%);
+}
+
+.jp-AccordionPanel-title .lm-AccordionPanel-titleLabel {
+ user-select: none;
+ text-overflow: ellipsis;
+ white-space: nowrap;
+ overflow: hidden;
+}
+
+.jp-AccordionPanel-title .lm-AccordionPanel-titleCollapser {
+ transform: rotate(-90deg);
+ margin: auto 0;
+ height: 16px;
+}
+
+.jp-AccordionPanel-title.lm-mod-expanded .lm-AccordionPanel-titleCollapser {
+ transform: rotate(0deg);
+}
+
+.lm-AccordionPanel .jp-AccordionPanel-toolbar {
+ background: none;
+ box-shadow: none;
+ border: none;
+ margin-left: auto;
+}
+
+.lm-AccordionPanel .lm-SplitPanel-handle:hover {
+ background: var(--jp-layout-color3);
+}
+
+.jp-text-truncated {
+ overflow: hidden;
+ text-overflow: ellipsis;
+ white-space: nowrap;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2017, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-Spinner {
+ position: absolute;
+ display: flex;
+ justify-content: center;
+ align-items: center;
+ z-index: 10;
+ left: 0;
+ top: 0;
+ width: 100%;
+ height: 100%;
+ background: var(--jp-layout-color0);
+ outline: none;
+}
+
+.jp-SpinnerContent {
+ font-size: 10px;
+ margin: 50px auto;
+ text-indent: -9999em;
+ width: 3em;
+ height: 3em;
+ border-radius: 50%;
+ background: var(--jp-brand-color3);
+ background: linear-gradient(
+ to right,
+ #f37626 10%,
+ rgba(255, 255, 255, 0) 42%
+ );
+ position: relative;
+ animation: load3 1s infinite linear, fadeIn 1s;
+}
+
+.jp-SpinnerContent::before {
+ width: 50%;
+ height: 50%;
+ background: #f37626;
+ border-radius: 100% 0 0;
+ position: absolute;
+ top: 0;
+ left: 0;
+ content: '';
+}
+
+.jp-SpinnerContent::after {
+ background: var(--jp-layout-color0);
+ width: 75%;
+ height: 75%;
+ border-radius: 50%;
+ content: '';
+ margin: auto;
+ position: absolute;
+ top: 0;
+ left: 0;
+ bottom: 0;
+ right: 0;
+}
+
+@keyframes fadeIn {
+ 0% {
+ opacity: 0;
+ }
+
+ 100% {
+ opacity: 1;
+ }
+}
+
+@keyframes load3 {
+ 0% {
+ transform: rotate(0deg);
+ }
+
+ 100% {
+ transform: rotate(360deg);
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2017, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+button.jp-mod-styled {
+ font-size: var(--jp-ui-font-size1);
+ color: var(--jp-ui-font-color0);
+ border: none;
+ box-sizing: border-box;
+ text-align: center;
+ line-height: 32px;
+ height: 32px;
+ padding: 0 12px;
+ letter-spacing: 0.8px;
+ outline: none;
+ appearance: none;
+ -webkit-appearance: none;
+ -moz-appearance: none;
+}
+
+input.jp-mod-styled {
+ background: var(--jp-input-background);
+ height: 28px;
+ box-sizing: border-box;
+ border: var(--jp-border-width) solid var(--jp-border-color1);
+ padding-left: 7px;
+ padding-right: 7px;
+ font-size: var(--jp-ui-font-size2);
+ color: var(--jp-ui-font-color0);
+ outline: none;
+ appearance: none;
+ -webkit-appearance: none;
+ -moz-appearance: none;
+}
+
+input[type='checkbox'].jp-mod-styled {
+ appearance: checkbox;
+ -webkit-appearance: checkbox;
+ -moz-appearance: checkbox;
+ height: auto;
+}
+
+input.jp-mod-styled:focus {
+ border: var(--jp-border-width) solid var(--md-blue-500);
+ box-shadow: inset 0 0 4px var(--md-blue-300);
+}
+
+.jp-select-wrapper {
+ display: flex;
+ position: relative;
+ flex-direction: column;
+ padding: 1px;
+ background-color: var(--jp-layout-color1);
+ box-sizing: border-box;
+ margin-bottom: 12px;
+}
+
+.jp-select-wrapper:not(.multiple) {
+ height: 28px;
+}
+
+.jp-select-wrapper.jp-mod-focused select.jp-mod-styled {
+ border: var(--jp-border-width) solid var(--jp-input-active-border-color);
+ box-shadow: var(--jp-input-box-shadow);
+ background-color: var(--jp-input-active-background);
+}
+
+select.jp-mod-styled:hover {
+ cursor: pointer;
+ color: var(--jp-ui-font-color0);
+ background-color: var(--jp-input-hover-background);
+ box-shadow: inset 0 0 1px rgba(0, 0, 0, 0.5);
+}
+
+select.jp-mod-styled {
+ flex: 1 1 auto;
+ width: 100%;
+ font-size: var(--jp-ui-font-size2);
+ background: var(--jp-input-background);
+ color: var(--jp-ui-font-color0);
+ padding: 0 25px 0 8px;
+ border: var(--jp-border-width) solid var(--jp-input-border-color);
+ border-radius: 0;
+ outline: none;
+ appearance: none;
+ -webkit-appearance: none;
+ -moz-appearance: none;
+}
+
+select.jp-mod-styled:not([multiple]) {
+ height: 32px;
+}
+
+select.jp-mod-styled[multiple] {
+ max-height: 200px;
+ overflow-y: auto;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-switch {
+ display: flex;
+ align-items: center;
+ padding-left: 4px;
+ padding-right: 4px;
+ font-size: var(--jp-ui-font-size1);
+ background-color: transparent;
+ color: var(--jp-ui-font-color1);
+ border: none;
+ height: 20px;
+}
+
+.jp-switch:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-switch-label {
+ margin-right: 5px;
+ font-family: var(--jp-ui-font-family);
+}
+
+.jp-switch-track {
+ cursor: pointer;
+ background-color: var(--jp-switch-color, var(--jp-border-color1));
+ -webkit-transition: 0.4s;
+ transition: 0.4s;
+ border-radius: 34px;
+ height: 16px;
+ width: 35px;
+ position: relative;
+}
+
+.jp-switch-track::before {
+ content: '';
+ position: absolute;
+ height: 10px;
+ width: 10px;
+ margin: 3px;
+ left: 0;
+ background-color: var(--jp-ui-inverse-font-color1);
+ -webkit-transition: 0.4s;
+ transition: 0.4s;
+ border-radius: 50%;
+}
+
+.jp-switch[aria-checked='true'] .jp-switch-track {
+ background-color: var(--jp-switch-true-position-color, var(--jp-warn-color0));
+}
+
+.jp-switch[aria-checked='true'] .jp-switch-track::before {
+ /* track width (35) - margins (3 + 3) - thumb width (10) */
+ left: 19px;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2016, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-private-toolbar-height: calc(
+ 28px + var(--jp-border-width)
+ ); /* leave 28px for content */
+}
+
+.jp-Toolbar {
+ color: var(--jp-ui-font-color1);
+ flex: 0 0 auto;
+ display: flex;
+ flex-direction: row;
+ border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);
+ box-shadow: var(--jp-toolbar-box-shadow);
+ background: var(--jp-toolbar-background);
+ min-height: var(--jp-toolbar-micro-height);
+ padding: 2px;
+ z-index: 8;
+ overflow-x: hidden;
+}
+
+/* Toolbar items */
+
+.jp-Toolbar > .jp-Toolbar-item.jp-Toolbar-spacer {
+ flex-grow: 1;
+ flex-shrink: 1;
+}
+
+.jp-Toolbar-item.jp-Toolbar-kernelStatus {
+ display: inline-block;
+ width: 32px;
+ background-repeat: no-repeat;
+ background-position: center;
+ background-size: 16px;
+}
+
+.jp-Toolbar > .jp-Toolbar-item {
+ flex: 0 0 auto;
+ display: flex;
+ padding-left: 1px;
+ padding-right: 1px;
+ font-size: var(--jp-ui-font-size1);
+ line-height: var(--jp-private-toolbar-height);
+ height: 100%;
+}
+
+/* Toolbar buttons */
+
+/* This is the div we use to wrap the react component into a Widget */
+div.jp-ToolbarButton {
+ color: transparent;
+ border: none;
+ box-sizing: border-box;
+ outline: none;
+ appearance: none;
+ -webkit-appearance: none;
+ -moz-appearance: none;
+ padding: 0;
+ margin: 0;
+}
+
+button.jp-ToolbarButtonComponent {
+ background: var(--jp-layout-color1);
+ border: none;
+ box-sizing: border-box;
+ outline: none;
+ appearance: none;
+ -webkit-appearance: none;
+ -moz-appearance: none;
+ padding: 0 6px;
+ margin: 0;
+ height: 24px;
+ border-radius: var(--jp-border-radius);
+ display: flex;
+ align-items: center;
+ text-align: center;
+ font-size: 14px;
+ min-width: unset;
+ min-height: unset;
+}
+
+button.jp-ToolbarButtonComponent:disabled {
+ opacity: 0.4;
+}
+
+button.jp-ToolbarButtonComponent > span {
+ padding: 0;
+ flex: 0 0 auto;
+}
+
+button.jp-ToolbarButtonComponent .jp-ToolbarButtonComponent-label {
+ font-size: var(--jp-ui-font-size1);
+ line-height: 100%;
+ padding-left: 2px;
+ color: var(--jp-ui-font-color1);
+ font-family: var(--jp-ui-font-family);
+}
+
+#jp-main-dock-panel[data-mode='single-document']
+ .jp-MainAreaWidget
+ > .jp-Toolbar.jp-Toolbar-micro {
+ padding: 0;
+ min-height: 0;
+}
+
+#jp-main-dock-panel[data-mode='single-document']
+ .jp-MainAreaWidget
+ > .jp-Toolbar {
+ border: none;
+ box-shadow: none;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+.jp-WindowedPanel-outer {
+ position: relative;
+ overflow-y: auto;
+}
+
+.jp-WindowedPanel-inner {
+ position: relative;
+}
+
+.jp-WindowedPanel-window {
+ position: absolute;
+ left: 0;
+ right: 0;
+ overflow: visible;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/* Sibling imports */
+
+body {
+ color: var(--jp-ui-font-color1);
+ font-size: var(--jp-ui-font-size1);
+}
+
+/* Disable native link decoration styles everywhere outside of dialog boxes */
+a {
+ text-decoration: unset;
+ color: unset;
+}
+
+a:hover {
+ text-decoration: unset;
+ color: unset;
+}
+
+/* Accessibility for links inside dialog box text */
+.jp-Dialog-content a {
+ text-decoration: revert;
+ color: var(--jp-content-link-color);
+}
+
+.jp-Dialog-content a:hover {
+ text-decoration: revert;
+}
+
+/* Styles for ui-components */
+.jp-Button {
+ color: var(--jp-ui-font-color2);
+ border-radius: var(--jp-border-radius);
+ padding: 0 12px;
+ font-size: var(--jp-ui-font-size1);
+
+ /* Copy from blueprint 3 */
+ display: inline-flex;
+ flex-direction: row;
+ border: none;
+ cursor: pointer;
+ align-items: center;
+ justify-content: center;
+ text-align: left;
+ vertical-align: middle;
+ min-height: 30px;
+ min-width: 30px;
+}
+
+.jp-Button:disabled {
+ cursor: not-allowed;
+}
+
+.jp-Button:empty {
+ padding: 0 !important;
+}
+
+.jp-Button.jp-mod-small {
+ min-height: 24px;
+ min-width: 24px;
+ font-size: 12px;
+ padding: 0 7px;
+}
+
+/* Use our own theme for hover styles */
+.jp-Button.jp-mod-minimal:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-Button.jp-mod-minimal {
+ background: none;
+}
+
+.jp-InputGroup {
+ display: block;
+ position: relative;
+}
+
+.jp-InputGroup input {
+ box-sizing: border-box;
+ border: none;
+ border-radius: 0;
+ background-color: transparent;
+ color: var(--jp-ui-font-color0);
+ box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color);
+ padding-bottom: 0;
+ padding-top: 0;
+ padding-left: 10px;
+ padding-right: 28px;
+ position: relative;
+ width: 100%;
+ -webkit-appearance: none;
+ -moz-appearance: none;
+ appearance: none;
+ font-size: 14px;
+ font-weight: 400;
+ height: 30px;
+ line-height: 30px;
+ outline: none;
+ vertical-align: middle;
+}
+
+.jp-InputGroup input:focus {
+ box-shadow: inset 0 0 0 var(--jp-border-width)
+ var(--jp-input-active-box-shadow-color),
+ inset 0 0 0 3px var(--jp-input-active-box-shadow-color);
+}
+
+.jp-InputGroup input:disabled {
+ cursor: not-allowed;
+ resize: block;
+ background-color: var(--jp-layout-color2);
+ color: var(--jp-ui-font-color2);
+}
+
+.jp-InputGroup input:disabled ~ span {
+ cursor: not-allowed;
+ color: var(--jp-ui-font-color2);
+}
+
+.jp-InputGroup input::placeholder,
+input::placeholder {
+ color: var(--jp-ui-font-color2);
+}
+
+.jp-InputGroupAction {
+ position: absolute;
+ bottom: 1px;
+ right: 0;
+ padding: 6px;
+}
+
+.jp-HTMLSelect.jp-DefaultStyle select {
+ background-color: initial;
+ border: none;
+ border-radius: 0;
+ box-shadow: none;
+ color: var(--jp-ui-font-color0);
+ display: block;
+ font-size: var(--jp-ui-font-size1);
+ font-family: var(--jp-ui-font-family);
+ height: 24px;
+ line-height: 14px;
+ padding: 0 25px 0 10px;
+ text-align: left;
+ -moz-appearance: none;
+ -webkit-appearance: none;
+}
+
+.jp-HTMLSelect.jp-DefaultStyle select:disabled {
+ background-color: var(--jp-layout-color2);
+ color: var(--jp-ui-font-color2);
+ cursor: not-allowed;
+ resize: block;
+}
+
+.jp-HTMLSelect.jp-DefaultStyle select:disabled ~ span {
+ cursor: not-allowed;
+}
+
+/* Use our own theme for hover and option styles */
+/* stylelint-disable-next-line selector-max-type */
+.jp-HTMLSelect.jp-DefaultStyle select:hover,
+.jp-HTMLSelect.jp-DefaultStyle select > option {
+ background-color: var(--jp-layout-color2);
+ color: var(--jp-ui-font-color0);
+}
+
+select {
+ box-sizing: border-box;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Styles
+|----------------------------------------------------------------------------*/
+
+.jp-StatusBar-Widget {
+ display: flex;
+ align-items: center;
+ background: var(--jp-layout-color2);
+ min-height: var(--jp-statusbar-height);
+ justify-content: space-between;
+ padding: 0 10px;
+}
+
+.jp-StatusBar-Left {
+ display: flex;
+ align-items: center;
+ flex-direction: row;
+}
+
+.jp-StatusBar-Middle {
+ display: flex;
+ align-items: center;
+}
+
+.jp-StatusBar-Right {
+ display: flex;
+ align-items: center;
+ flex-direction: row-reverse;
+}
+
+.jp-StatusBar-Item {
+ max-height: var(--jp-statusbar-height);
+ margin: 0 2px;
+ height: var(--jp-statusbar-height);
+ white-space: nowrap;
+ text-overflow: ellipsis;
+ color: var(--jp-ui-font-color1);
+ padding: 0 6px;
+}
+
+.jp-mod-highlighted:hover {
+ background-color: var(--jp-layout-color3);
+}
+
+.jp-mod-clicked {
+ background-color: var(--jp-brand-color1);
+}
+
+.jp-mod-clicked:hover {
+ background-color: var(--jp-brand-color0);
+}
+
+.jp-mod-clicked .jp-StatusBar-TextItem {
+ color: var(--jp-ui-inverse-font-color1);
+}
+
+.jp-StatusBar-HoverItem {
+ box-shadow: '0px 4px 4px rgba(0, 0, 0, 0.25)';
+}
+
+.jp-StatusBar-TextItem {
+ font-size: var(--jp-ui-font-size1);
+ font-family: var(--jp-ui-font-family);
+ line-height: 24px;
+ color: var(--jp-ui-font-color1);
+}
+
+.jp-StatusBar-GroupItem {
+ display: flex;
+ align-items: center;
+ flex-direction: row;
+}
+
+.jp-Statusbar-ProgressCircle svg {
+ display: block;
+ margin: 0 auto;
+ width: 16px;
+ height: 24px;
+ align-self: normal;
+}
+
+.jp-Statusbar-ProgressCircle path {
+ fill: var(--jp-inverse-layout-color3);
+}
+
+.jp-Statusbar-ProgressBar-progress-bar {
+ height: 10px;
+ width: 100px;
+ border: solid 0.25px var(--jp-brand-color2);
+ border-radius: 3px;
+ overflow: hidden;
+ align-self: center;
+}
+
+.jp-Statusbar-ProgressBar-progress-bar > div {
+ background-color: var(--jp-brand-color2);
+ background-image: linear-gradient(
+ -45deg,
+ rgba(255, 255, 255, 0.2) 25%,
+ transparent 25%,
+ transparent 50%,
+ rgba(255, 255, 255, 0.2) 50%,
+ rgba(255, 255, 255, 0.2) 75%,
+ transparent 75%,
+ transparent
+ );
+ background-size: 40px 40px;
+ float: left;
+ width: 0%;
+ height: 100%;
+ font-size: 12px;
+ line-height: 14px;
+ color: #fff;
+ text-align: center;
+ animation: jp-Statusbar-ExecutionTime-progress-bar 2s linear infinite;
+}
+
+.jp-Statusbar-ProgressBar-progress-bar p {
+ color: var(--jp-ui-font-color1);
+ font-family: var(--jp-ui-font-family);
+ font-size: var(--jp-ui-font-size1);
+ line-height: 10px;
+ width: 100px;
+}
+
+@keyframes jp-Statusbar-ExecutionTime-progress-bar {
+ 0% {
+ background-position: 0 0;
+ }
+
+ 100% {
+ background-position: 40px 40px;
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Variables
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-private-commandpalette-search-height: 28px;
+}
+
+/*-----------------------------------------------------------------------------
+| Overall styles
+|----------------------------------------------------------------------------*/
+
+.lm-CommandPalette {
+ padding-bottom: 0;
+ color: var(--jp-ui-font-color1);
+ background: var(--jp-layout-color1);
+
+ /* This is needed so that all font sizing of children done in ems is
+ * relative to this base size */
+ font-size: var(--jp-ui-font-size1);
+}
+
+/*-----------------------------------------------------------------------------
+| Modal variant
+|----------------------------------------------------------------------------*/
+
+.jp-ModalCommandPalette {
+ position: absolute;
+ z-index: 10000;
+ top: 38px;
+ left: 30%;
+ margin: 0;
+ padding: 4px;
+ width: 40%;
+ box-shadow: var(--jp-elevation-z4);
+ border-radius: 4px;
+ background: var(--jp-layout-color0);
+}
+
+.jp-ModalCommandPalette .lm-CommandPalette {
+ max-height: 40vh;
+}
+
+.jp-ModalCommandPalette .lm-CommandPalette .lm-close-icon::after {
+ display: none;
+}
+
+.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-header {
+ display: none;
+}
+
+.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-item {
+ margin-left: 4px;
+ margin-right: 4px;
+}
+
+.jp-ModalCommandPalette
+ .lm-CommandPalette
+ .lm-CommandPalette-item.lm-mod-disabled {
+ display: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Search
+|----------------------------------------------------------------------------*/
+
+.lm-CommandPalette-search {
+ padding: 4px;
+ background-color: var(--jp-layout-color1);
+ z-index: 2;
+}
+
+.lm-CommandPalette-wrapper {
+ overflow: overlay;
+ padding: 0 9px;
+ background-color: var(--jp-input-active-background);
+ height: 30px;
+ box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color);
+}
+
+.lm-CommandPalette.lm-mod-focused .lm-CommandPalette-wrapper {
+ box-shadow: inset 0 0 0 1px var(--jp-input-active-box-shadow-color),
+ inset 0 0 0 3px var(--jp-input-active-box-shadow-color);
+}
+
+.jp-SearchIconGroup {
+ color: white;
+ background-color: var(--jp-brand-color1);
+ position: absolute;
+ top: 4px;
+ right: 4px;
+ padding: 5px 5px 1px;
+}
+
+.jp-SearchIconGroup svg {
+ height: 20px;
+ width: 20px;
+}
+
+.jp-SearchIconGroup .jp-icon3[fill] {
+ fill: var(--jp-layout-color0);
+}
+
+.lm-CommandPalette-input {
+ background: transparent;
+ width: calc(100% - 18px);
+ float: left;
+ border: none;
+ outline: none;
+ font-size: var(--jp-ui-font-size1);
+ color: var(--jp-ui-font-color0);
+ line-height: var(--jp-private-commandpalette-search-height);
+}
+
+.lm-CommandPalette-input::-webkit-input-placeholder,
+.lm-CommandPalette-input::-moz-placeholder,
+.lm-CommandPalette-input:-ms-input-placeholder {
+ color: var(--jp-ui-font-color2);
+ font-size: var(--jp-ui-font-size1);
+}
+
+/*-----------------------------------------------------------------------------
+| Results
+|----------------------------------------------------------------------------*/
+
+.lm-CommandPalette-header:first-child {
+ margin-top: 0;
+}
+
+.lm-CommandPalette-header {
+ border-bottom: solid var(--jp-border-width) var(--jp-border-color2);
+ color: var(--jp-ui-font-color1);
+ cursor: pointer;
+ display: flex;
+ font-size: var(--jp-ui-font-size0);
+ font-weight: 600;
+ letter-spacing: 1px;
+ margin-top: 8px;
+ padding: 8px 0 8px 12px;
+ text-transform: uppercase;
+}
+
+.lm-CommandPalette-header.lm-mod-active {
+ background: var(--jp-layout-color2);
+}
+
+.lm-CommandPalette-header > mark {
+ background-color: transparent;
+ font-weight: bold;
+ color: var(--jp-ui-font-color1);
+}
+
+.lm-CommandPalette-item {
+ padding: 4px 12px 4px 4px;
+ color: var(--jp-ui-font-color1);
+ font-size: var(--jp-ui-font-size1);
+ font-weight: 400;
+ display: flex;
+}
+
+.lm-CommandPalette-item.lm-mod-disabled {
+ color: var(--jp-ui-font-color2);
+}
+
+.lm-CommandPalette-item.lm-mod-active {
+ color: var(--jp-ui-inverse-font-color1);
+ background: var(--jp-brand-color1);
+}
+
+.lm-CommandPalette-item.lm-mod-active .lm-CommandPalette-itemLabel > mark {
+ color: var(--jp-ui-inverse-font-color0);
+}
+
+.lm-CommandPalette-item.lm-mod-active .jp-icon-selectable[fill] {
+ fill: var(--jp-layout-color0);
+}
+
+.lm-CommandPalette-item.lm-mod-active:hover:not(.lm-mod-disabled) {
+ color: var(--jp-ui-inverse-font-color1);
+ background: var(--jp-brand-color1);
+}
+
+.lm-CommandPalette-item:hover:not(.lm-mod-active):not(.lm-mod-disabled) {
+ background: var(--jp-layout-color2);
+}
+
+.lm-CommandPalette-itemContent {
+ overflow: hidden;
+}
+
+.lm-CommandPalette-itemLabel > mark {
+ color: var(--jp-ui-font-color0);
+ background-color: transparent;
+ font-weight: bold;
+}
+
+.lm-CommandPalette-item.lm-mod-disabled mark {
+ color: var(--jp-ui-font-color2);
+}
+
+.lm-CommandPalette-item .lm-CommandPalette-itemIcon {
+ margin: 0 4px 0 0;
+ position: relative;
+ width: 16px;
+ top: 2px;
+ flex: 0 0 auto;
+}
+
+.lm-CommandPalette-item.lm-mod-disabled .lm-CommandPalette-itemIcon {
+ opacity: 0.6;
+}
+
+.lm-CommandPalette-item .lm-CommandPalette-itemShortcut {
+ flex: 0 0 auto;
+}
+
+.lm-CommandPalette-itemCaption {
+ display: none;
+}
+
+.lm-CommandPalette-content {
+ background-color: var(--jp-layout-color1);
+}
+
+.lm-CommandPalette-content:empty::after {
+ content: 'No results';
+ margin: auto;
+ margin-top: 20px;
+ width: 100px;
+ display: block;
+ font-size: var(--jp-ui-font-size2);
+ font-family: var(--jp-ui-font-family);
+ font-weight: lighter;
+}
+
+.lm-CommandPalette-emptyMessage {
+ text-align: center;
+ margin-top: 24px;
+ line-height: 1.32;
+ padding: 0 8px;
+ color: var(--jp-content-font-color3);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2017, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-Dialog {
+ position: absolute;
+ z-index: 10000;
+ display: flex;
+ flex-direction: column;
+ align-items: center;
+ justify-content: center;
+ top: 0;
+ left: 0;
+ margin: 0;
+ padding: 0;
+ width: 100%;
+ height: 100%;
+ background: var(--jp-dialog-background);
+}
+
+.jp-Dialog-content {
+ display: flex;
+ flex-direction: column;
+ margin-left: auto;
+ margin-right: auto;
+ background: var(--jp-layout-color1);
+ padding: 24px 24px 12px;
+ min-width: 300px;
+ min-height: 150px;
+ max-width: 1000px;
+ max-height: 500px;
+ box-sizing: border-box;
+ box-shadow: var(--jp-elevation-z20);
+ word-wrap: break-word;
+ border-radius: var(--jp-border-radius);
+
+ /* This is needed so that all font sizing of children done in ems is
+ * relative to this base size */
+ font-size: var(--jp-ui-font-size1);
+ color: var(--jp-ui-font-color1);
+ resize: both;
+}
+
+.jp-Dialog-content.jp-Dialog-content-small {
+ max-width: 500px;
+}
+
+.jp-Dialog-button {
+ overflow: visible;
+}
+
+button.jp-Dialog-button:focus {
+ outline: 1px solid var(--jp-brand-color1);
+ outline-offset: 4px;
+ -moz-outline-radius: 0;
+}
+
+button.jp-Dialog-button:focus::-moz-focus-inner {
+ border: 0;
+}
+
+button.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus,
+button.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus,
+button.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus {
+ outline-offset: 4px;
+ -moz-outline-radius: 0;
+}
+
+button.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus {
+ outline: 1px solid var(--jp-accept-color-normal, var(--jp-brand-color1));
+}
+
+button.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus {
+ outline: 1px solid var(--jp-warn-color-normal, var(--jp-error-color1));
+}
+
+button.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus {
+ outline: 1px solid var(--jp-reject-color-normal, var(--md-grey-600));
+}
+
+button.jp-Dialog-close-button {
+ padding: 0;
+ height: 100%;
+ min-width: unset;
+ min-height: unset;
+}
+
+.jp-Dialog-header {
+ display: flex;
+ justify-content: space-between;
+ flex: 0 0 auto;
+ padding-bottom: 12px;
+ font-size: var(--jp-ui-font-size3);
+ font-weight: 400;
+ color: var(--jp-ui-font-color1);
+}
+
+.jp-Dialog-body {
+ display: flex;
+ flex-direction: column;
+ flex: 1 1 auto;
+ font-size: var(--jp-ui-font-size1);
+ background: var(--jp-layout-color1);
+ color: var(--jp-ui-font-color1);
+ overflow: auto;
+}
+
+.jp-Dialog-footer {
+ display: flex;
+ flex-direction: row;
+ justify-content: flex-end;
+ align-items: center;
+ flex: 0 0 auto;
+ margin-left: -12px;
+ margin-right: -12px;
+ padding: 12px;
+}
+
+.jp-Dialog-checkbox {
+ padding-right: 5px;
+}
+
+.jp-Dialog-checkbox > input:focus-visible {
+ outline: 1px solid var(--jp-input-active-border-color);
+ outline-offset: 1px;
+}
+
+.jp-Dialog-spacer {
+ flex: 1 1 auto;
+}
+
+.jp-Dialog-title {
+ overflow: hidden;
+ white-space: nowrap;
+ text-overflow: ellipsis;
+}
+
+.jp-Dialog-body > .jp-select-wrapper {
+ width: 100%;
+}
+
+.jp-Dialog-body > button {
+ padding: 0 16px;
+}
+
+.jp-Dialog-body > label {
+ line-height: 1.4;
+ color: var(--jp-ui-font-color0);
+}
+
+.jp-Dialog-button.jp-mod-styled:not(:last-child) {
+ margin-right: 12px;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+.jp-Input-Boolean-Dialog {
+ flex-direction: row-reverse;
+ align-items: end;
+ width: 100%;
+}
+
+.jp-Input-Boolean-Dialog > label {
+ flex: 1 1 auto;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2016, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-MainAreaWidget > :focus {
+ outline: none;
+}
+
+.jp-MainAreaWidget .jp-MainAreaWidget-error {
+ padding: 6px;
+}
+
+.jp-MainAreaWidget .jp-MainAreaWidget-error > pre {
+ width: auto;
+ padding: 10px;
+ background: var(--jp-error-color3);
+ border: var(--jp-border-width) solid var(--jp-error-color1);
+ border-radius: var(--jp-border-radius);
+ color: var(--jp-ui-font-color1);
+ font-size: var(--jp-ui-font-size1);
+ white-space: pre-wrap;
+ word-wrap: break-word;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/**
+ * google-material-color v1.2.6
+ * https://github.com/danlevan/google-material-color
+ */
+:root {
+ --md-red-50: #ffebee;
+ --md-red-100: #ffcdd2;
+ --md-red-200: #ef9a9a;
+ --md-red-300: #e57373;
+ --md-red-400: #ef5350;
+ --md-red-500: #f44336;
+ --md-red-600: #e53935;
+ --md-red-700: #d32f2f;
+ --md-red-800: #c62828;
+ --md-red-900: #b71c1c;
+ --md-red-A100: #ff8a80;
+ --md-red-A200: #ff5252;
+ --md-red-A400: #ff1744;
+ --md-red-A700: #d50000;
+ --md-pink-50: #fce4ec;
+ --md-pink-100: #f8bbd0;
+ --md-pink-200: #f48fb1;
+ --md-pink-300: #f06292;
+ --md-pink-400: #ec407a;
+ --md-pink-500: #e91e63;
+ --md-pink-600: #d81b60;
+ --md-pink-700: #c2185b;
+ --md-pink-800: #ad1457;
+ --md-pink-900: #880e4f;
+ --md-pink-A100: #ff80ab;
+ --md-pink-A200: #ff4081;
+ --md-pink-A400: #f50057;
+ --md-pink-A700: #c51162;
+ --md-purple-50: #f3e5f5;
+ --md-purple-100: #e1bee7;
+ --md-purple-200: #ce93d8;
+ --md-purple-300: #ba68c8;
+ --md-purple-400: #ab47bc;
+ --md-purple-500: #9c27b0;
+ --md-purple-600: #8e24aa;
+ --md-purple-700: #7b1fa2;
+ --md-purple-800: #6a1b9a;
+ --md-purple-900: #4a148c;
+ --md-purple-A100: #ea80fc;
+ --md-purple-A200: #e040fb;
+ --md-purple-A400: #d500f9;
+ --md-purple-A700: #a0f;
+ --md-deep-purple-50: #ede7f6;
+ --md-deep-purple-100: #d1c4e9;
+ --md-deep-purple-200: #b39ddb;
+ --md-deep-purple-300: #9575cd;
+ --md-deep-purple-400: #7e57c2;
+ --md-deep-purple-500: #673ab7;
+ --md-deep-purple-600: #5e35b1;
+ --md-deep-purple-700: #512da8;
+ --md-deep-purple-800: #4527a0;
+ --md-deep-purple-900: #311b92;
+ --md-deep-purple-A100: #b388ff;
+ --md-deep-purple-A200: #7c4dff;
+ --md-deep-purple-A400: #651fff;
+ --md-deep-purple-A700: #6200ea;
+ --md-indigo-50: #e8eaf6;
+ --md-indigo-100: #c5cae9;
+ --md-indigo-200: #9fa8da;
+ --md-indigo-300: #7986cb;
+ --md-indigo-400: #5c6bc0;
+ --md-indigo-500: #3f51b5;
+ --md-indigo-600: #3949ab;
+ --md-indigo-700: #303f9f;
+ --md-indigo-800: #283593;
+ --md-indigo-900: #1a237e;
+ --md-indigo-A100: #8c9eff;
+ --md-indigo-A200: #536dfe;
+ --md-indigo-A400: #3d5afe;
+ --md-indigo-A700: #304ffe;
+ --md-blue-50: #e3f2fd;
+ --md-blue-100: #bbdefb;
+ --md-blue-200: #90caf9;
+ --md-blue-300: #64b5f6;
+ --md-blue-400: #42a5f5;
+ --md-blue-500: #2196f3;
+ --md-blue-600: #1e88e5;
+ --md-blue-700: #1976d2;
+ --md-blue-800: #1565c0;
+ --md-blue-900: #0d47a1;
+ --md-blue-A100: #82b1ff;
+ --md-blue-A200: #448aff;
+ --md-blue-A400: #2979ff;
+ --md-blue-A700: #2962ff;
+ --md-light-blue-50: #e1f5fe;
+ --md-light-blue-100: #b3e5fc;
+ --md-light-blue-200: #81d4fa;
+ --md-light-blue-300: #4fc3f7;
+ --md-light-blue-400: #29b6f6;
+ --md-light-blue-500: #03a9f4;
+ --md-light-blue-600: #039be5;
+ --md-light-blue-700: #0288d1;
+ --md-light-blue-800: #0277bd;
+ --md-light-blue-900: #01579b;
+ --md-light-blue-A100: #80d8ff;
+ --md-light-blue-A200: #40c4ff;
+ --md-light-blue-A400: #00b0ff;
+ --md-light-blue-A700: #0091ea;
+ --md-cyan-50: #e0f7fa;
+ --md-cyan-100: #b2ebf2;
+ --md-cyan-200: #80deea;
+ --md-cyan-300: #4dd0e1;
+ --md-cyan-400: #26c6da;
+ --md-cyan-500: #00bcd4;
+ --md-cyan-600: #00acc1;
+ --md-cyan-700: #0097a7;
+ --md-cyan-800: #00838f;
+ --md-cyan-900: #006064;
+ --md-cyan-A100: #84ffff;
+ --md-cyan-A200: #18ffff;
+ --md-cyan-A400: #00e5ff;
+ --md-cyan-A700: #00b8d4;
+ --md-teal-50: #e0f2f1;
+ --md-teal-100: #b2dfdb;
+ --md-teal-200: #80cbc4;
+ --md-teal-300: #4db6ac;
+ --md-teal-400: #26a69a;
+ --md-teal-500: #009688;
+ --md-teal-600: #00897b;
+ --md-teal-700: #00796b;
+ --md-teal-800: #00695c;
+ --md-teal-900: #004d40;
+ --md-teal-A100: #a7ffeb;
+ --md-teal-A200: #64ffda;
+ --md-teal-A400: #1de9b6;
+ --md-teal-A700: #00bfa5;
+ --md-green-50: #e8f5e9;
+ --md-green-100: #c8e6c9;
+ --md-green-200: #a5d6a7;
+ --md-green-300: #81c784;
+ --md-green-400: #66bb6a;
+ --md-green-500: #4caf50;
+ --md-green-600: #43a047;
+ --md-green-700: #388e3c;
+ --md-green-800: #2e7d32;
+ --md-green-900: #1b5e20;
+ --md-green-A100: #b9f6ca;
+ --md-green-A200: #69f0ae;
+ --md-green-A400: #00e676;
+ --md-green-A700: #00c853;
+ --md-light-green-50: #f1f8e9;
+ --md-light-green-100: #dcedc8;
+ --md-light-green-200: #c5e1a5;
+ --md-light-green-300: #aed581;
+ --md-light-green-400: #9ccc65;
+ --md-light-green-500: #8bc34a;
+ --md-light-green-600: #7cb342;
+ --md-light-green-700: #689f38;
+ --md-light-green-800: #558b2f;
+ --md-light-green-900: #33691e;
+ --md-light-green-A100: #ccff90;
+ --md-light-green-A200: #b2ff59;
+ --md-light-green-A400: #76ff03;
+ --md-light-green-A700: #64dd17;
+ --md-lime-50: #f9fbe7;
+ --md-lime-100: #f0f4c3;
+ --md-lime-200: #e6ee9c;
+ --md-lime-300: #dce775;
+ --md-lime-400: #d4e157;
+ --md-lime-500: #cddc39;
+ --md-lime-600: #c0ca33;
+ --md-lime-700: #afb42b;
+ --md-lime-800: #9e9d24;
+ --md-lime-900: #827717;
+ --md-lime-A100: #f4ff81;
+ --md-lime-A200: #eeff41;
+ --md-lime-A400: #c6ff00;
+ --md-lime-A700: #aeea00;
+ --md-yellow-50: #fffde7;
+ --md-yellow-100: #fff9c4;
+ --md-yellow-200: #fff59d;
+ --md-yellow-300: #fff176;
+ --md-yellow-400: #ffee58;
+ --md-yellow-500: #ffeb3b;
+ --md-yellow-600: #fdd835;
+ --md-yellow-700: #fbc02d;
+ --md-yellow-800: #f9a825;
+ --md-yellow-900: #f57f17;
+ --md-yellow-A100: #ffff8d;
+ --md-yellow-A200: #ff0;
+ --md-yellow-A400: #ffea00;
+ --md-yellow-A700: #ffd600;
+ --md-amber-50: #fff8e1;
+ --md-amber-100: #ffecb3;
+ --md-amber-200: #ffe082;
+ --md-amber-300: #ffd54f;
+ --md-amber-400: #ffca28;
+ --md-amber-500: #ffc107;
+ --md-amber-600: #ffb300;
+ --md-amber-700: #ffa000;
+ --md-amber-800: #ff8f00;
+ --md-amber-900: #ff6f00;
+ --md-amber-A100: #ffe57f;
+ --md-amber-A200: #ffd740;
+ --md-amber-A400: #ffc400;
+ --md-amber-A700: #ffab00;
+ --md-orange-50: #fff3e0;
+ --md-orange-100: #ffe0b2;
+ --md-orange-200: #ffcc80;
+ --md-orange-300: #ffb74d;
+ --md-orange-400: #ffa726;
+ --md-orange-500: #ff9800;
+ --md-orange-600: #fb8c00;
+ --md-orange-700: #f57c00;
+ --md-orange-800: #ef6c00;
+ --md-orange-900: #e65100;
+ --md-orange-A100: #ffd180;
+ --md-orange-A200: #ffab40;
+ --md-orange-A400: #ff9100;
+ --md-orange-A700: #ff6d00;
+ --md-deep-orange-50: #fbe9e7;
+ --md-deep-orange-100: #ffccbc;
+ --md-deep-orange-200: #ffab91;
+ --md-deep-orange-300: #ff8a65;
+ --md-deep-orange-400: #ff7043;
+ --md-deep-orange-500: #ff5722;
+ --md-deep-orange-600: #f4511e;
+ --md-deep-orange-700: #e64a19;
+ --md-deep-orange-800: #d84315;
+ --md-deep-orange-900: #bf360c;
+ --md-deep-orange-A100: #ff9e80;
+ --md-deep-orange-A200: #ff6e40;
+ --md-deep-orange-A400: #ff3d00;
+ --md-deep-orange-A700: #dd2c00;
+ --md-brown-50: #efebe9;
+ --md-brown-100: #d7ccc8;
+ --md-brown-200: #bcaaa4;
+ --md-brown-300: #a1887f;
+ --md-brown-400: #8d6e63;
+ --md-brown-500: #795548;
+ --md-brown-600: #6d4c41;
+ --md-brown-700: #5d4037;
+ --md-brown-800: #4e342e;
+ --md-brown-900: #3e2723;
+ --md-grey-50: #fafafa;
+ --md-grey-100: #f5f5f5;
+ --md-grey-200: #eee;
+ --md-grey-300: #e0e0e0;
+ --md-grey-400: #bdbdbd;
+ --md-grey-500: #9e9e9e;
+ --md-grey-600: #757575;
+ --md-grey-700: #616161;
+ --md-grey-800: #424242;
+ --md-grey-900: #212121;
+ --md-blue-grey-50: #eceff1;
+ --md-blue-grey-100: #cfd8dc;
+ --md-blue-grey-200: #b0bec5;
+ --md-blue-grey-300: #90a4ae;
+ --md-blue-grey-400: #78909c;
+ --md-blue-grey-500: #607d8b;
+ --md-blue-grey-600: #546e7a;
+ --md-blue-grey-700: #455a64;
+ --md-blue-grey-800: #37474f;
+ --md-blue-grey-900: #263238;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2017, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| RenderedText
+|----------------------------------------------------------------------------*/
+
+:root {
+ /* This is the padding value to fill the gaps between lines containing spans with background color. */
+ --jp-private-code-span-padding: calc(
+ (var(--jp-code-line-height) - 1) * var(--jp-code-font-size) / 2
+ );
+}
+
+.jp-RenderedText {
+ text-align: left;
+ padding-left: var(--jp-code-padding);
+ line-height: var(--jp-code-line-height);
+ font-family: var(--jp-code-font-family);
+}
+
+.jp-RenderedText pre,
+.jp-RenderedJavaScript pre,
+.jp-RenderedHTMLCommon pre {
+ color: var(--jp-content-font-color1);
+ font-size: var(--jp-code-font-size);
+ border: none;
+ margin: 0;
+ padding: 0;
+}
+
+.jp-RenderedText pre a:link {
+ text-decoration: none;
+ color: var(--jp-content-link-color);
+}
+
+.jp-RenderedText pre a:hover {
+ text-decoration: underline;
+ color: var(--jp-content-link-color);
+}
+
+.jp-RenderedText pre a:visited {
+ text-decoration: none;
+ color: var(--jp-content-link-color);
+}
+
+/* console foregrounds and backgrounds */
+.jp-RenderedText pre .ansi-black-fg {
+ color: #3e424d;
+}
+
+.jp-RenderedText pre .ansi-red-fg {
+ color: #e75c58;
+}
+
+.jp-RenderedText pre .ansi-green-fg {
+ color: #00a250;
+}
+
+.jp-RenderedText pre .ansi-yellow-fg {
+ color: #ddb62b;
+}
+
+.jp-RenderedText pre .ansi-blue-fg {
+ color: #208ffb;
+}
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+.jp-RenderedText pre .ansi-magenta-fg {
+ color: #d160c4;
+}
+
+.jp-RenderedText pre .ansi-cyan-fg {
+ color: #60c6c8;
+}
+
+.jp-RenderedText pre .ansi-white-fg {
+ color: #c5c1b4;
+}
+
+.jp-RenderedText pre .ansi-black-bg {
+ background-color: #3e424d;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-red-bg {
+ background-color: #e75c58;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-green-bg {
+ background-color: #00a250;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-yellow-bg {
+ background-color: #ddb62b;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-blue-bg {
+ background-color: #208ffb;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-magenta-bg {
+ background-color: #d160c4;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-cyan-bg {
+ background-color: #60c6c8;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-white-bg {
+ background-color: #c5c1b4;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-black-intense-fg {
+ color: #282c36;
+}
+
+.jp-RenderedText pre .ansi-red-intense-fg {
+ color: #b22b31;
+}
+
+.jp-RenderedText pre .ansi-green-intense-fg {
+ color: #007427;
+}
+
+.jp-RenderedText pre .ansi-yellow-intense-fg {
+ color: #b27d12;
+}
+
+.jp-RenderedText pre .ansi-blue-intense-fg {
+ color: #0065ca;
+}
+
+.jp-RenderedText pre .ansi-magenta-intense-fg {
+ color: #a03196;
+}
+
+.jp-RenderedText pre .ansi-cyan-intense-fg {
+ color: #258f8f;
+}
+
+.jp-RenderedText pre .ansi-white-intense-fg {
+ color: #a1a6b2;
+}
+
+.jp-RenderedText pre .ansi-black-intense-bg {
+ background-color: #282c36;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-red-intense-bg {
+ background-color: #b22b31;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-green-intense-bg {
+ background-color: #007427;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-yellow-intense-bg {
+ background-color: #b27d12;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-blue-intense-bg {
+ background-color: #0065ca;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-magenta-intense-bg {
+ background-color: #a03196;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-cyan-intense-bg {
+ background-color: #258f8f;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-white-intense-bg {
+ background-color: #a1a6b2;
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-default-inverse-fg {
+ color: var(--jp-ui-inverse-font-color0);
+}
+
+.jp-RenderedText pre .ansi-default-inverse-bg {
+ background-color: var(--jp-inverse-layout-color0);
+ padding: var(--jp-private-code-span-padding) 0;
+}
+
+.jp-RenderedText pre .ansi-bold {
+ font-weight: bold;
+}
+
+.jp-RenderedText pre .ansi-underline {
+ text-decoration: underline;
+}
+
+.jp-RenderedText[data-mime-type='application/vnd.jupyter.stderr'] {
+ background: var(--jp-rendermime-error-background);
+ padding-top: var(--jp-code-padding);
+}
+
+/*-----------------------------------------------------------------------------
+| RenderedLatex
+|----------------------------------------------------------------------------*/
+
+.jp-RenderedLatex {
+ color: var(--jp-content-font-color1);
+ font-size: var(--jp-content-font-size1);
+ line-height: var(--jp-content-line-height);
+}
+
+/* Left-justify outputs.*/
+.jp-OutputArea-output.jp-RenderedLatex {
+ padding: var(--jp-code-padding);
+ text-align: left;
+}
+
+/*-----------------------------------------------------------------------------
+| RenderedHTML
+|----------------------------------------------------------------------------*/
+
+.jp-RenderedHTMLCommon {
+ color: var(--jp-content-font-color1);
+ font-family: var(--jp-content-font-family);
+ font-size: var(--jp-content-font-size1);
+ line-height: var(--jp-content-line-height);
+
+ /* Give a bit more R padding on Markdown text to keep line lengths reasonable */
+ padding-right: 20px;
+}
+
+.jp-RenderedHTMLCommon em {
+ font-style: italic;
+}
+
+.jp-RenderedHTMLCommon strong {
+ font-weight: bold;
+}
+
+.jp-RenderedHTMLCommon u {
+ text-decoration: underline;
+}
+
+.jp-RenderedHTMLCommon a:link {
+ text-decoration: none;
+ color: var(--jp-content-link-color);
+}
+
+.jp-RenderedHTMLCommon a:hover {
+ text-decoration: underline;
+ color: var(--jp-content-link-color);
+}
+
+.jp-RenderedHTMLCommon a:visited {
+ text-decoration: none;
+ color: var(--jp-content-link-color);
+}
+
+/* Headings */
+
+.jp-RenderedHTMLCommon h1,
+.jp-RenderedHTMLCommon h2,
+.jp-RenderedHTMLCommon h3,
+.jp-RenderedHTMLCommon h4,
+.jp-RenderedHTMLCommon h5,
+.jp-RenderedHTMLCommon h6 {
+ line-height: var(--jp-content-heading-line-height);
+ font-weight: var(--jp-content-heading-font-weight);
+ font-style: normal;
+ margin: var(--jp-content-heading-margin-top) 0
+ var(--jp-content-heading-margin-bottom) 0;
+}
+
+.jp-RenderedHTMLCommon h1:first-child,
+.jp-RenderedHTMLCommon h2:first-child,
+.jp-RenderedHTMLCommon h3:first-child,
+.jp-RenderedHTMLCommon h4:first-child,
+.jp-RenderedHTMLCommon h5:first-child,
+.jp-RenderedHTMLCommon h6:first-child {
+ margin-top: calc(0.5 * var(--jp-content-heading-margin-top));
+}
+
+.jp-RenderedHTMLCommon h1:last-child,
+.jp-RenderedHTMLCommon h2:last-child,
+.jp-RenderedHTMLCommon h3:last-child,
+.jp-RenderedHTMLCommon h4:last-child,
+.jp-RenderedHTMLCommon h5:last-child,
+.jp-RenderedHTMLCommon h6:last-child {
+ margin-bottom: calc(0.5 * var(--jp-content-heading-margin-bottom));
+}
+
+.jp-RenderedHTMLCommon h1 {
+ font-size: var(--jp-content-font-size5);
+}
+
+.jp-RenderedHTMLCommon h2 {
+ font-size: var(--jp-content-font-size4);
+}
+
+.jp-RenderedHTMLCommon h3 {
+ font-size: var(--jp-content-font-size3);
+}
+
+.jp-RenderedHTMLCommon h4 {
+ font-size: var(--jp-content-font-size2);
+}
+
+.jp-RenderedHTMLCommon h5 {
+ font-size: var(--jp-content-font-size1);
+}
+
+.jp-RenderedHTMLCommon h6 {
+ font-size: var(--jp-content-font-size0);
+}
+
+/* Lists */
+
+/* stylelint-disable selector-max-type, selector-max-compound-selectors */
+
+.jp-RenderedHTMLCommon ul:not(.list-inline),
+.jp-RenderedHTMLCommon ol:not(.list-inline) {
+ padding-left: 2em;
+}
+
+.jp-RenderedHTMLCommon ul {
+ list-style: disc;
+}
+
+.jp-RenderedHTMLCommon ul ul {
+ list-style: square;
+}
+
+.jp-RenderedHTMLCommon ul ul ul {
+ list-style: circle;
+}
+
+.jp-RenderedHTMLCommon ol {
+ list-style: decimal;
+}
+
+.jp-RenderedHTMLCommon ol ol {
+ list-style: upper-alpha;
+}
+
+.jp-RenderedHTMLCommon ol ol ol {
+ list-style: lower-alpha;
+}
+
+.jp-RenderedHTMLCommon ol ol ol ol {
+ list-style: lower-roman;
+}
+
+.jp-RenderedHTMLCommon ol ol ol ol ol {
+ list-style: decimal;
+}
+
+.jp-RenderedHTMLCommon ol,
+.jp-RenderedHTMLCommon ul {
+ margin-bottom: 1em;
+}
+
+.jp-RenderedHTMLCommon ul ul,
+.jp-RenderedHTMLCommon ul ol,
+.jp-RenderedHTMLCommon ol ul,
+.jp-RenderedHTMLCommon ol ol {
+ margin-bottom: 0;
+}
+
+/* stylelint-enable selector-max-type, selector-max-compound-selectors */
+
+.jp-RenderedHTMLCommon hr {
+ color: var(--jp-border-color2);
+ background-color: var(--jp-border-color1);
+ margin-top: 1em;
+ margin-bottom: 1em;
+}
+
+.jp-RenderedHTMLCommon > pre {
+ margin: 1.5em 2em;
+}
+
+.jp-RenderedHTMLCommon pre,
+.jp-RenderedHTMLCommon code {
+ border: 0;
+ background-color: var(--jp-layout-color0);
+ color: var(--jp-content-font-color1);
+ font-family: var(--jp-code-font-family);
+ font-size: inherit;
+ line-height: var(--jp-code-line-height);
+ padding: 0;
+ white-space: pre-wrap;
+}
+
+.jp-RenderedHTMLCommon :not(pre) > code {
+ background-color: var(--jp-layout-color2);
+ padding: 1px 5px;
+}
+
+/* Tables */
+
+.jp-RenderedHTMLCommon table {
+ border-collapse: collapse;
+ border-spacing: 0;
+ border: none;
+ color: var(--jp-ui-font-color1);
+ font-size: var(--jp-ui-font-size1);
+ table-layout: fixed;
+ margin-left: auto;
+ margin-bottom: 1em;
+ margin-right: auto;
+}
+
+.jp-RenderedHTMLCommon thead {
+ border-bottom: var(--jp-border-width) solid var(--jp-border-color1);
+ vertical-align: bottom;
+}
+
+.jp-RenderedHTMLCommon td,
+.jp-RenderedHTMLCommon th,
+.jp-RenderedHTMLCommon tr {
+ vertical-align: middle;
+ padding: 0.5em;
+ line-height: normal;
+ white-space: normal;
+ max-width: none;
+ border: none;
+}
+
+.jp-RenderedMarkdown.jp-RenderedHTMLCommon td,
+.jp-RenderedMarkdown.jp-RenderedHTMLCommon th {
+ max-width: none;
+}
+
+:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon td,
+:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon th,
+:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon tr {
+ text-align: right;
+}
+
+.jp-RenderedHTMLCommon th {
+ font-weight: bold;
+}
+
+.jp-RenderedHTMLCommon tbody tr:nth-child(odd) {
+ background: var(--jp-layout-color0);
+}
+
+.jp-RenderedHTMLCommon tbody tr:nth-child(even) {
+ background: var(--jp-rendermime-table-row-background);
+}
+
+.jp-RenderedHTMLCommon tbody tr:hover {
+ background: var(--jp-rendermime-table-row-hover-background);
+}
+
+.jp-RenderedHTMLCommon p {
+ text-align: left;
+ margin: 0;
+ margin-bottom: 1em;
+}
+
+.jp-RenderedHTMLCommon img {
+ -moz-force-broken-image-icon: 1;
+}
+
+/* Restrict to direct children as other images could be nested in other content. */
+.jp-RenderedHTMLCommon > img {
+ display: block;
+ margin-left: 0;
+ margin-right: 0;
+ margin-bottom: 1em;
+}
+
+/* Change color behind transparent images if they need it... */
+[data-jp-theme-light='false'] .jp-RenderedImage img.jp-needs-light-background {
+ background-color: var(--jp-inverse-layout-color1);
+}
+
+[data-jp-theme-light='true'] .jp-RenderedImage img.jp-needs-dark-background {
+ background-color: var(--jp-inverse-layout-color1);
+}
+
+.jp-RenderedHTMLCommon img,
+.jp-RenderedImage img,
+.jp-RenderedHTMLCommon svg,
+.jp-RenderedSVG svg {
+ max-width: 100%;
+ height: auto;
+}
+
+.jp-RenderedHTMLCommon img.jp-mod-unconfined,
+.jp-RenderedImage img.jp-mod-unconfined,
+.jp-RenderedHTMLCommon svg.jp-mod-unconfined,
+.jp-RenderedSVG svg.jp-mod-unconfined {
+ max-width: none;
+}
+
+.jp-RenderedHTMLCommon .alert {
+ padding: var(--jp-notebook-padding);
+ border: var(--jp-border-width) solid transparent;
+ border-radius: var(--jp-border-radius);
+ margin-bottom: 1em;
+}
+
+.jp-RenderedHTMLCommon .alert-info {
+ color: var(--jp-info-color0);
+ background-color: var(--jp-info-color3);
+ border-color: var(--jp-info-color2);
+}
+
+.jp-RenderedHTMLCommon .alert-info hr {
+ border-color: var(--jp-info-color3);
+}
+
+.jp-RenderedHTMLCommon .alert-info > p:last-child,
+.jp-RenderedHTMLCommon .alert-info > ul:last-child {
+ margin-bottom: 0;
+}
+
+.jp-RenderedHTMLCommon .alert-warning {
+ color: var(--jp-warn-color0);
+ background-color: var(--jp-warn-color3);
+ border-color: var(--jp-warn-color2);
+}
+
+.jp-RenderedHTMLCommon .alert-warning hr {
+ border-color: var(--jp-warn-color3);
+}
+
+.jp-RenderedHTMLCommon .alert-warning > p:last-child,
+.jp-RenderedHTMLCommon .alert-warning > ul:last-child {
+ margin-bottom: 0;
+}
+
+.jp-RenderedHTMLCommon .alert-success {
+ color: var(--jp-success-color0);
+ background-color: var(--jp-success-color3);
+ border-color: var(--jp-success-color2);
+}
+
+.jp-RenderedHTMLCommon .alert-success hr {
+ border-color: var(--jp-success-color3);
+}
+
+.jp-RenderedHTMLCommon .alert-success > p:last-child,
+.jp-RenderedHTMLCommon .alert-success > ul:last-child {
+ margin-bottom: 0;
+}
+
+.jp-RenderedHTMLCommon .alert-danger {
+ color: var(--jp-error-color0);
+ background-color: var(--jp-error-color3);
+ border-color: var(--jp-error-color2);
+}
+
+.jp-RenderedHTMLCommon .alert-danger hr {
+ border-color: var(--jp-error-color3);
+}
+
+.jp-RenderedHTMLCommon .alert-danger > p:last-child,
+.jp-RenderedHTMLCommon .alert-danger > ul:last-child {
+ margin-bottom: 0;
+}
+
+.jp-RenderedHTMLCommon blockquote {
+ margin: 1em 2em;
+ padding: 0 1em;
+ border-left: 5px solid var(--jp-border-color2);
+}
+
+a.jp-InternalAnchorLink {
+ visibility: hidden;
+ margin-left: 8px;
+ color: var(--md-blue-800);
+}
+
+h1:hover .jp-InternalAnchorLink,
+h2:hover .jp-InternalAnchorLink,
+h3:hover .jp-InternalAnchorLink,
+h4:hover .jp-InternalAnchorLink,
+h5:hover .jp-InternalAnchorLink,
+h6:hover .jp-InternalAnchorLink {
+ visibility: visible;
+}
+
+.jp-RenderedHTMLCommon kbd {
+ background-color: var(--jp-rendermime-table-row-background);
+ border: 1px solid var(--jp-border-color0);
+ border-bottom-color: var(--jp-border-color2);
+ border-radius: 3px;
+ box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);
+ display: inline-block;
+ font-size: var(--jp-ui-font-size0);
+ line-height: 1em;
+ padding: 0.2em 0.5em;
+}
+
+/* Most direct children of .jp-RenderedHTMLCommon have a margin-bottom of 1.0.
+ * At the bottom of cells this is a bit too much as there is also spacing
+ * between cells. Going all the way to 0 gets too tight between markdown and
+ * code cells.
+ */
+.jp-RenderedHTMLCommon > *:last-child {
+ margin-bottom: 0.5em;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Copyright (c) 2014-2017, PhosphorJS Contributors
+|
+| Distributed under the terms of the BSD 3-Clause License.
+|
+| The full license is in the file LICENSE, distributed with this software.
+|----------------------------------------------------------------------------*/
+
+.lm-cursor-backdrop {
+ position: fixed;
+ width: 200px;
+ height: 200px;
+ margin-top: -100px;
+ margin-left: -100px;
+ will-change: transform;
+ z-index: 100;
+}
+
+.lm-mod-drag-image {
+ will-change: transform;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+.jp-lineFormSearch {
+ padding: 4px 12px;
+ background-color: var(--jp-layout-color2);
+ box-shadow: var(--jp-toolbar-box-shadow);
+ z-index: 2;
+ font-size: var(--jp-ui-font-size1);
+}
+
+.jp-lineFormCaption {
+ font-size: var(--jp-ui-font-size0);
+ line-height: var(--jp-ui-font-size1);
+ margin-top: 4px;
+ color: var(--jp-ui-font-color0);
+}
+
+.jp-baseLineForm {
+ border: none;
+ border-radius: 0;
+ position: absolute;
+ background-size: 16px;
+ background-repeat: no-repeat;
+ background-position: center;
+ outline: none;
+}
+
+.jp-lineFormButtonContainer {
+ top: 4px;
+ right: 8px;
+ height: 24px;
+ padding: 0 12px;
+ width: 12px;
+}
+
+.jp-lineFormButtonIcon {
+ top: 0;
+ right: 0;
+ background-color: var(--jp-brand-color1);
+ height: 100%;
+ width: 100%;
+ box-sizing: border-box;
+ padding: 4px 6px;
+}
+
+.jp-lineFormButton {
+ top: 0;
+ right: 0;
+ background-color: transparent;
+ height: 100%;
+ width: 100%;
+ box-sizing: border-box;
+}
+
+.jp-lineFormWrapper {
+ overflow: hidden;
+ padding: 0 8px;
+ border: 1px solid var(--jp-border-color0);
+ background-color: var(--jp-input-active-background);
+ height: 22px;
+}
+
+.jp-lineFormWrapperFocusWithin {
+ border: var(--jp-border-width) solid var(--md-blue-500);
+ box-shadow: inset 0 0 4px var(--md-blue-300);
+}
+
+.jp-lineFormInput {
+ background: transparent;
+ width: 200px;
+ height: 100%;
+ border: none;
+ outline: none;
+ color: var(--jp-ui-font-color0);
+ line-height: 28px;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) 2014-2016, Jupyter Development Team.
+|
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-JSONEditor {
+ display: flex;
+ flex-direction: column;
+ width: 100%;
+}
+
+.jp-JSONEditor-host {
+ flex: 1 1 auto;
+ border: var(--jp-border-width) solid var(--jp-input-border-color);
+ border-radius: 0;
+ background: var(--jp-layout-color0);
+ min-height: 50px;
+ padding: 1px;
+}
+
+.jp-JSONEditor.jp-mod-error .jp-JSONEditor-host {
+ border-color: red;
+ outline-color: red;
+}
+
+.jp-JSONEditor-header {
+ display: flex;
+ flex: 1 0 auto;
+ padding: 0 0 0 12px;
+}
+
+.jp-JSONEditor-header label {
+ flex: 0 0 auto;
+}
+
+.jp-JSONEditor-commitButton {
+ height: 16px;
+ width: 16px;
+ background-size: 18px;
+ background-repeat: no-repeat;
+ background-position: center;
+}
+
+.jp-JSONEditor-host.jp-mod-focused {
+ background-color: var(--jp-input-active-background);
+ border: 1px solid var(--jp-input-active-border-color);
+ box-shadow: var(--jp-input-box-shadow);
+}
+
+.jp-Editor.jp-mod-dropTarget {
+ border: var(--jp-border-width) solid var(--jp-input-active-border-color);
+ box-shadow: var(--jp-input-box-shadow);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+.jp-DocumentSearch-input {
+ border: none;
+ outline: none;
+ color: var(--jp-ui-font-color0);
+ font-size: var(--jp-ui-font-size1);
+ background-color: var(--jp-layout-color0);
+ font-family: var(--jp-ui-font-family);
+ padding: 2px 1px;
+ resize: none;
+}
+
+.jp-DocumentSearch-overlay {
+ position: absolute;
+ background-color: var(--jp-toolbar-background);
+ border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);
+ border-left: var(--jp-border-width) solid var(--jp-toolbar-border-color);
+ top: 0;
+ right: 0;
+ z-index: 7;
+ min-width: 405px;
+ padding: 2px;
+ font-size: var(--jp-ui-font-size1);
+
+ --jp-private-document-search-button-height: 20px;
+}
+
+.jp-DocumentSearch-overlay button {
+ background-color: var(--jp-toolbar-background);
+ outline: 0;
+}
+
+.jp-DocumentSearch-overlay button:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-DocumentSearch-overlay button:active {
+ background-color: var(--jp-layout-color3);
+}
+
+.jp-DocumentSearch-overlay-row {
+ display: flex;
+ align-items: center;
+ margin-bottom: 2px;
+}
+
+.jp-DocumentSearch-button-content {
+ display: inline-block;
+ cursor: pointer;
+ box-sizing: border-box;
+ width: 100%;
+ height: 100%;
+}
+
+.jp-DocumentSearch-button-content svg {
+ width: 100%;
+ height: 100%;
+}
+
+.jp-DocumentSearch-input-wrapper {
+ border: var(--jp-border-width) solid var(--jp-border-color0);
+ display: flex;
+ background-color: var(--jp-layout-color0);
+ margin: 2px;
+}
+
+.jp-DocumentSearch-input-wrapper:focus-within {
+ border-color: var(--jp-cell-editor-active-border-color);
+}
+
+.jp-DocumentSearch-toggle-wrapper,
+.jp-DocumentSearch-button-wrapper {
+ all: initial;
+ overflow: hidden;
+ display: inline-block;
+ border: none;
+ box-sizing: border-box;
+}
+
+.jp-DocumentSearch-toggle-wrapper {
+ width: 14px;
+ height: 14px;
+}
+
+.jp-DocumentSearch-button-wrapper {
+ width: var(--jp-private-document-search-button-height);
+ height: var(--jp-private-document-search-button-height);
+}
+
+.jp-DocumentSearch-toggle-wrapper:focus,
+.jp-DocumentSearch-button-wrapper:focus {
+ outline: var(--jp-border-width) solid
+ var(--jp-cell-editor-active-border-color);
+ outline-offset: -1px;
+}
+
+.jp-DocumentSearch-toggle-wrapper,
+.jp-DocumentSearch-button-wrapper,
+.jp-DocumentSearch-button-content:focus {
+ outline: none;
+}
+
+.jp-DocumentSearch-toggle-placeholder {
+ width: 5px;
+}
+
+.jp-DocumentSearch-input-button::before {
+ display: block;
+ padding-top: 100%;
+}
+
+.jp-DocumentSearch-input-button-off {
+ opacity: var(--jp-search-toggle-off-opacity);
+}
+
+.jp-DocumentSearch-input-button-off:hover {
+ opacity: var(--jp-search-toggle-hover-opacity);
+}
+
+.jp-DocumentSearch-input-button-on {
+ opacity: var(--jp-search-toggle-on-opacity);
+}
+
+.jp-DocumentSearch-index-counter {
+ padding-left: 10px;
+ padding-right: 10px;
+ user-select: none;
+ min-width: 35px;
+ display: inline-block;
+}
+
+.jp-DocumentSearch-up-down-wrapper {
+ display: inline-block;
+ padding-right: 2px;
+ margin-left: auto;
+ white-space: nowrap;
+}
+
+.jp-DocumentSearch-spacer {
+ margin-left: auto;
+}
+
+.jp-DocumentSearch-up-down-wrapper button {
+ outline: 0;
+ border: none;
+ width: var(--jp-private-document-search-button-height);
+ height: var(--jp-private-document-search-button-height);
+ vertical-align: middle;
+ margin: 1px 5px 2px;
+}
+
+.jp-DocumentSearch-up-down-button:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-DocumentSearch-up-down-button:active {
+ background-color: var(--jp-layout-color3);
+}
+
+.jp-DocumentSearch-filter-button {
+ border-radius: var(--jp-border-radius);
+}
+
+.jp-DocumentSearch-filter-button:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-DocumentSearch-filter-button-enabled {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-DocumentSearch-filter-button-enabled:hover {
+ background-color: var(--jp-layout-color3);
+}
+
+.jp-DocumentSearch-search-options {
+ padding: 0 8px;
+ margin-left: 3px;
+ width: 100%;
+ display: grid;
+ justify-content: start;
+ grid-template-columns: 1fr 1fr;
+ align-items: center;
+ justify-items: stretch;
+}
+
+.jp-DocumentSearch-search-filter-disabled {
+ color: var(--jp-ui-font-color2);
+}
+
+.jp-DocumentSearch-search-filter {
+ display: flex;
+ align-items: center;
+ user-select: none;
+}
+
+.jp-DocumentSearch-regex-error {
+ color: var(--jp-error-color0);
+}
+
+.jp-DocumentSearch-replace-button-wrapper {
+ overflow: hidden;
+ display: inline-block;
+ box-sizing: border-box;
+ border: var(--jp-border-width) solid var(--jp-border-color0);
+ margin: auto 2px;
+ padding: 1px 4px;
+ height: calc(var(--jp-private-document-search-button-height) + 2px);
+}
+
+.jp-DocumentSearch-replace-button-wrapper:focus {
+ border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color);
+}
+
+.jp-DocumentSearch-replace-button {
+ display: inline-block;
+ text-align: center;
+ cursor: pointer;
+ box-sizing: border-box;
+ color: var(--jp-ui-font-color1);
+
+ /* height - 2 * (padding of wrapper) */
+ line-height: calc(var(--jp-private-document-search-button-height) - 2px);
+ width: 100%;
+ height: 100%;
+}
+
+.jp-DocumentSearch-replace-button:focus {
+ outline: none;
+}
+
+.jp-DocumentSearch-replace-wrapper-class {
+ margin-left: 14px;
+ display: flex;
+}
+
+.jp-DocumentSearch-replace-toggle {
+ border: none;
+ background-color: var(--jp-toolbar-background);
+ border-radius: var(--jp-border-radius);
+}
+
+.jp-DocumentSearch-replace-toggle:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.cm-editor {
+ line-height: var(--jp-code-line-height);
+ font-size: var(--jp-code-font-size);
+ font-family: var(--jp-code-font-family);
+ border: 0;
+ border-radius: 0;
+ height: auto;
+
+ /* Changed to auto to autogrow */
+}
+
+.cm-editor pre {
+ padding: 0 var(--jp-code-padding);
+}
+
+.jp-CodeMirrorEditor[data-type='inline'] .cm-dialog {
+ background-color: var(--jp-layout-color0);
+ color: var(--jp-content-font-color1);
+}
+
+.jp-CodeMirrorEditor {
+ cursor: text;
+}
+
+/* When zoomed out 67% and 33% on a screen of 1440 width x 900 height */
+@media screen and (min-width: 2138px) and (max-width: 4319px) {
+ .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor {
+ border-left: var(--jp-code-cursor-width1) solid
+ var(--jp-editor-cursor-color);
+ }
+}
+
+/* When zoomed out less than 33% */
+@media screen and (min-width: 4320px) {
+ .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor {
+ border-left: var(--jp-code-cursor-width2) solid
+ var(--jp-editor-cursor-color);
+ }
+}
+
+.cm-editor.jp-mod-readOnly .cm-cursor {
+ display: none;
+}
+
+.jp-CollaboratorCursor {
+ border-left: 5px solid transparent;
+ border-right: 5px solid transparent;
+ border-top: none;
+ border-bottom: 3px solid;
+ background-clip: content-box;
+ margin-left: -5px;
+ margin-right: -5px;
+}
+
+.cm-searching,
+.cm-searching span {
+ /* `.cm-searching span`: we need to override syntax highlighting */
+ background-color: var(--jp-search-unselected-match-background-color);
+ color: var(--jp-search-unselected-match-color);
+}
+
+.cm-searching::selection,
+.cm-searching span::selection {
+ background-color: var(--jp-search-unselected-match-background-color);
+ color: var(--jp-search-unselected-match-color);
+}
+
+.jp-current-match > .cm-searching,
+.jp-current-match > .cm-searching span,
+.cm-searching > .jp-current-match,
+.cm-searching > .jp-current-match span {
+ background-color: var(--jp-search-selected-match-background-color);
+ color: var(--jp-search-selected-match-color);
+}
+
+.jp-current-match > .cm-searching::selection,
+.cm-searching > .jp-current-match::selection,
+.jp-current-match > .cm-searching span::selection {
+ background-color: var(--jp-search-selected-match-background-color);
+ color: var(--jp-search-selected-match-color);
+}
+
+.cm-trailingspace {
+ background-image: url(data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAFCAYAAAB4ka1VAAAAsElEQVQIHQGlAFr/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7+r3zKmT0/+pk9P/7+r3zAAAAAAAAAAABAAAAAAAAAAA6OPzM+/q9wAAAAAA6OPzMwAAAAAAAAAAAgAAAAAAAAAAGR8NiRQaCgAZIA0AGR8NiQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQyoYJ/SY80UAAAAASUVORK5CYII=);
+ background-position: center left;
+ background-repeat: repeat-x;
+}
+
+.jp-CollaboratorCursor-hover {
+ position: absolute;
+ z-index: 1;
+ transform: translateX(-50%);
+ color: white;
+ border-radius: 3px;
+ padding-left: 4px;
+ padding-right: 4px;
+ padding-top: 1px;
+ padding-bottom: 1px;
+ text-align: center;
+ font-size: var(--jp-ui-font-size1);
+ white-space: nowrap;
+}
+
+.jp-CodeMirror-ruler {
+ border-left: 1px dashed var(--jp-border-color2);
+}
+
+/* Styles for shared cursors (remote cursor locations and selected ranges) */
+.jp-CodeMirrorEditor .cm-ySelectionCaret {
+ position: relative;
+ border-left: 1px solid black;
+ margin-left: -1px;
+ margin-right: -1px;
+ box-sizing: border-box;
+}
+
+.jp-CodeMirrorEditor .cm-ySelectionCaret > .cm-ySelectionInfo {
+ white-space: nowrap;
+ position: absolute;
+ top: -1.15em;
+ padding-bottom: 0.05em;
+ left: -1px;
+ font-size: 0.95em;
+ font-family: var(--jp-ui-font-family);
+ font-weight: bold;
+ line-height: normal;
+ user-select: none;
+ color: white;
+ padding-left: 2px;
+ padding-right: 2px;
+ z-index: 101;
+ transition: opacity 0.3s ease-in-out;
+}
+
+.jp-CodeMirrorEditor .cm-ySelectionInfo {
+ transition-delay: 0.7s;
+ opacity: 0;
+}
+
+.jp-CodeMirrorEditor .cm-ySelectionCaret:hover > .cm-ySelectionInfo {
+ opacity: 1;
+ transition-delay: 0s;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-MimeDocument {
+ outline: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Variables
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-private-filebrowser-button-height: 28px;
+ --jp-private-filebrowser-button-width: 48px;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-FileBrowser .jp-SidePanel-content {
+ display: flex;
+ flex-direction: column;
+}
+
+.jp-FileBrowser-toolbar.jp-Toolbar {
+ flex-wrap: wrap;
+ row-gap: 12px;
+ border-bottom: none;
+ height: auto;
+ margin: 8px 12px 0;
+ box-shadow: none;
+ padding: 0;
+ justify-content: flex-start;
+}
+
+.jp-FileBrowser-Panel {
+ flex: 1 1 auto;
+ display: flex;
+ flex-direction: column;
+}
+
+.jp-BreadCrumbs {
+ flex: 0 0 auto;
+ margin: 8px 12px;
+}
+
+.jp-BreadCrumbs-item {
+ margin: 0 2px;
+ padding: 0 2px;
+ border-radius: var(--jp-border-radius);
+ cursor: pointer;
+}
+
+.jp-BreadCrumbs-item:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-BreadCrumbs-item:first-child {
+ margin-left: 0;
+}
+
+.jp-BreadCrumbs-item.jp-mod-dropTarget {
+ background-color: var(--jp-brand-color2);
+ opacity: 0.7;
+}
+
+/*-----------------------------------------------------------------------------
+| Buttons
+|----------------------------------------------------------------------------*/
+
+.jp-FileBrowser-toolbar > .jp-Toolbar-item {
+ flex: 0 0 auto;
+ padding-left: 0;
+ padding-right: 2px;
+ align-items: center;
+ height: unset;
+}
+
+.jp-FileBrowser-toolbar > .jp-Toolbar-item .jp-ToolbarButtonComponent {
+ width: 40px;
+}
+
+/*-----------------------------------------------------------------------------
+| Other styles
+|----------------------------------------------------------------------------*/
+
+.jp-FileDialog.jp-mod-conflict input {
+ color: var(--jp-error-color1);
+}
+
+.jp-FileDialog .jp-new-name-title {
+ margin-top: 12px;
+}
+
+.jp-LastModified-hidden {
+ display: none;
+}
+
+.jp-FileSize-hidden {
+ display: none;
+}
+
+.jp-FileBrowser .lm-AccordionPanel > h3:first-child {
+ display: none;
+}
+
+/*-----------------------------------------------------------------------------
+| DirListing
+|----------------------------------------------------------------------------*/
+
+.jp-DirListing {
+ flex: 1 1 auto;
+ display: flex;
+ flex-direction: column;
+ outline: 0;
+}
+
+.jp-DirListing-header {
+ flex: 0 0 auto;
+ display: flex;
+ flex-direction: row;
+ align-items: center;
+ overflow: hidden;
+ border-top: var(--jp-border-width) solid var(--jp-border-color2);
+ border-bottom: var(--jp-border-width) solid var(--jp-border-color1);
+ box-shadow: var(--jp-toolbar-box-shadow);
+ z-index: 2;
+}
+
+.jp-DirListing-headerItem {
+ padding: 4px 12px 2px;
+ font-weight: 500;
+}
+
+.jp-DirListing-headerItem:hover {
+ background: var(--jp-layout-color2);
+}
+
+.jp-DirListing-headerItem.jp-id-name {
+ flex: 1 0 84px;
+}
+
+.jp-DirListing-headerItem.jp-id-modified {
+ flex: 0 0 112px;
+ border-left: var(--jp-border-width) solid var(--jp-border-color2);
+ text-align: right;
+}
+
+.jp-DirListing-headerItem.jp-id-filesize {
+ flex: 0 0 75px;
+ border-left: var(--jp-border-width) solid var(--jp-border-color2);
+ text-align: right;
+}
+
+.jp-id-narrow {
+ display: none;
+ flex: 0 0 5px;
+ padding: 4px;
+ border-left: var(--jp-border-width) solid var(--jp-border-color2);
+ text-align: right;
+ color: var(--jp-border-color2);
+}
+
+.jp-DirListing-narrow .jp-id-narrow {
+ display: block;
+}
+
+.jp-DirListing-narrow .jp-id-modified,
+.jp-DirListing-narrow .jp-DirListing-itemModified {
+ display: none;
+}
+
+.jp-DirListing-headerItem.jp-mod-selected {
+ font-weight: 600;
+}
+
+/* increase specificity to override bundled default */
+.jp-DirListing-content {
+ flex: 1 1 auto;
+ margin: 0;
+ padding: 0;
+ list-style-type: none;
+ overflow: auto;
+ background-color: var(--jp-layout-color1);
+}
+
+.jp-DirListing-content mark {
+ color: var(--jp-ui-font-color0);
+ background-color: transparent;
+ font-weight: bold;
+}
+
+.jp-DirListing-content .jp-DirListing-item.jp-mod-selected mark {
+ color: var(--jp-ui-inverse-font-color0);
+}
+
+/* Style the directory listing content when a user drops a file to upload */
+.jp-DirListing.jp-mod-native-drop .jp-DirListing-content {
+ outline: 5px dashed rgba(128, 128, 128, 0.5);
+ outline-offset: -10px;
+ cursor: copy;
+}
+
+.jp-DirListing-item {
+ display: flex;
+ flex-direction: row;
+ align-items: center;
+ padding: 4px 12px;
+ -webkit-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+.jp-DirListing-checkboxWrapper {
+ /* Increases hit area of checkbox. */
+ padding: 4px;
+}
+
+.jp-DirListing-header
+ .jp-DirListing-checkboxWrapper
+ + .jp-DirListing-headerItem {
+ padding-left: 4px;
+}
+
+.jp-DirListing-content .jp-DirListing-checkboxWrapper {
+ position: relative;
+ left: -4px;
+ margin: -4px 0 -4px -8px;
+}
+
+.jp-DirListing-checkboxWrapper.jp-mod-visible {
+ visibility: visible;
+}
+
+/* For devices that support hovering, hide checkboxes until hovered, selected...
+*/
+@media (hover: hover) {
+ .jp-DirListing-checkboxWrapper {
+ visibility: hidden;
+ }
+
+ .jp-DirListing-item:hover .jp-DirListing-checkboxWrapper,
+ .jp-DirListing-item.jp-mod-selected .jp-DirListing-checkboxWrapper {
+ visibility: visible;
+ }
+}
+
+.jp-DirListing-item[data-is-dot] {
+ opacity: 75%;
+}
+
+.jp-DirListing-item.jp-mod-selected {
+ color: var(--jp-ui-inverse-font-color1);
+ background: var(--jp-brand-color1);
+}
+
+.jp-DirListing-item.jp-mod-dropTarget {
+ background: var(--jp-brand-color3);
+}
+
+.jp-DirListing-item:hover:not(.jp-mod-selected) {
+ background: var(--jp-layout-color2);
+}
+
+.jp-DirListing-itemIcon {
+ flex: 0 0 20px;
+ margin-right: 4px;
+}
+
+.jp-DirListing-itemText {
+ flex: 1 0 64px;
+ white-space: nowrap;
+ overflow: hidden;
+ text-overflow: ellipsis;
+ user-select: none;
+}
+
+.jp-DirListing-itemText:focus {
+ outline-width: 2px;
+ outline-color: var(--jp-inverse-layout-color1);
+ outline-style: solid;
+ outline-offset: 1px;
+}
+
+.jp-DirListing-item.jp-mod-selected .jp-DirListing-itemText:focus {
+ outline-color: var(--jp-layout-color1);
+}
+
+.jp-DirListing-itemModified {
+ flex: 0 0 125px;
+ text-align: right;
+}
+
+.jp-DirListing-itemFileSize {
+ flex: 0 0 90px;
+ text-align: right;
+}
+
+.jp-DirListing-editor {
+ flex: 1 0 64px;
+ outline: none;
+ border: none;
+ color: var(--jp-ui-font-color1);
+ background-color: var(--jp-layout-color1);
+}
+
+.jp-DirListing-item.jp-mod-running .jp-DirListing-itemIcon::before {
+ color: var(--jp-success-color1);
+ content: '\25CF';
+ font-size: 8px;
+ position: absolute;
+ left: -8px;
+}
+
+.jp-DirListing-item.jp-mod-running.jp-mod-selected
+ .jp-DirListing-itemIcon::before {
+ color: var(--jp-ui-inverse-font-color1);
+}
+
+.jp-DirListing-item.lm-mod-drag-image,
+.jp-DirListing-item.jp-mod-selected.lm-mod-drag-image {
+ font-size: var(--jp-ui-font-size1);
+ padding-left: 4px;
+ margin-left: 4px;
+ width: 160px;
+ background-color: var(--jp-ui-inverse-font-color2);
+ box-shadow: var(--jp-elevation-z2);
+ border-radius: 0;
+ color: var(--jp-ui-font-color1);
+ transform: translateX(-40%) translateY(-58%);
+}
+
+.jp-Document {
+ min-width: 120px;
+ min-height: 120px;
+ outline: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Main OutputArea
+| OutputArea has a list of Outputs
+|----------------------------------------------------------------------------*/
+
+.jp-OutputArea {
+ overflow-y: auto;
+}
+
+.jp-OutputArea-child {
+ display: table;
+ table-layout: fixed;
+ width: 100%;
+ overflow: hidden;
+}
+
+.jp-OutputPrompt {
+ width: var(--jp-cell-prompt-width);
+ color: var(--jp-cell-outprompt-font-color);
+ font-family: var(--jp-cell-prompt-font-family);
+ padding: var(--jp-code-padding);
+ letter-spacing: var(--jp-cell-prompt-letter-spacing);
+ line-height: var(--jp-code-line-height);
+ font-size: var(--jp-code-font-size);
+ border: var(--jp-border-width) solid transparent;
+ opacity: var(--jp-cell-prompt-opacity);
+
+ /* Right align prompt text, don't wrap to handle large prompt numbers */
+ text-align: right;
+ white-space: nowrap;
+ overflow: hidden;
+ text-overflow: ellipsis;
+
+ /* Disable text selection */
+ -webkit-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+.jp-OutputArea-prompt {
+ display: table-cell;
+ vertical-align: top;
+}
+
+.jp-OutputArea-output {
+ display: table-cell;
+ width: 100%;
+ height: auto;
+ overflow: auto;
+ user-select: text;
+ -moz-user-select: text;
+ -webkit-user-select: text;
+ -ms-user-select: text;
+}
+
+.jp-OutputArea .jp-RenderedText {
+ padding-left: 1ch;
+}
+
+/**
+ * Prompt overlay.
+ */
+
+.jp-OutputArea-promptOverlay {
+ position: absolute;
+ top: 0;
+ width: var(--jp-cell-prompt-width);
+ height: 100%;
+ opacity: 0.5;
+}
+
+.jp-OutputArea-promptOverlay:hover {
+ background: var(--jp-layout-color2);
+ box-shadow: inset 0 0 1px var(--jp-inverse-layout-color0);
+ cursor: zoom-out;
+}
+
+.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay:hover {
+ cursor: zoom-in;
+}
+
+/**
+ * Isolated output.
+ */
+.jp-OutputArea-output.jp-mod-isolated {
+ width: 100%;
+ display: block;
+}
+
+/*
+When drag events occur, `lm-mod-override-cursor` is added to the body.
+Because iframes steal all cursor events, the following two rules are necessary
+to suppress pointer events while resize drags are occurring. There may be a
+better solution to this problem.
+*/
+body.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated {
+ position: relative;
+}
+
+body.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated::before {
+ content: '';
+ position: absolute;
+ top: 0;
+ left: 0;
+ right: 0;
+ bottom: 0;
+ background: transparent;
+}
+
+/* pre */
+
+.jp-OutputArea-output pre {
+ border: none;
+ margin: 0;
+ padding: 0;
+ overflow-x: auto;
+ overflow-y: auto;
+ word-break: break-all;
+ word-wrap: break-word;
+ white-space: pre-wrap;
+}
+
+/* tables */
+
+.jp-OutputArea-output.jp-RenderedHTMLCommon table {
+ margin-left: 0;
+ margin-right: 0;
+}
+
+/* description lists */
+
+.jp-OutputArea-output dl,
+.jp-OutputArea-output dt,
+.jp-OutputArea-output dd {
+ display: block;
+}
+
+.jp-OutputArea-output dl {
+ width: 100%;
+ overflow: hidden;
+ padding: 0;
+ margin: 0;
+}
+
+.jp-OutputArea-output dt {
+ font-weight: bold;
+ float: left;
+ width: 20%;
+ padding: 0;
+ margin: 0;
+}
+
+.jp-OutputArea-output dd {
+ float: left;
+ width: 80%;
+ padding: 0;
+ margin: 0;
+}
+
+.jp-TrimmedOutputs pre {
+ background: var(--jp-layout-color3);
+ font-size: calc(var(--jp-code-font-size) * 1.4);
+ text-align: center;
+ text-transform: uppercase;
+}
+
+/* Hide the gutter in case of
+ * - nested output areas (e.g. in the case of output widgets)
+ * - mirrored output areas
+ */
+.jp-OutputArea .jp-OutputArea .jp-OutputArea-prompt {
+ display: none;
+}
+
+/* Hide empty lines in the output area, for instance due to cleared widgets */
+.jp-OutputArea-prompt:empty {
+ padding: 0;
+ border: 0;
+}
+
+/*-----------------------------------------------------------------------------
+| executeResult is added to any Output-result for the display of the object
+| returned by a cell
+|----------------------------------------------------------------------------*/
+
+.jp-OutputArea-output.jp-OutputArea-executeResult {
+ margin-left: 0;
+ width: 100%;
+}
+
+/* Text output with the Out[] prompt needs a top padding to match the
+ * alignment of the Out[] prompt itself.
+ */
+.jp-OutputArea-executeResult .jp-RenderedText.jp-OutputArea-output {
+ padding-top: var(--jp-code-padding);
+ border-top: var(--jp-border-width) solid transparent;
+}
+
+/*-----------------------------------------------------------------------------
+| The Stdin output
+|----------------------------------------------------------------------------*/
+
+.jp-Stdin-prompt {
+ color: var(--jp-content-font-color0);
+ padding-right: var(--jp-code-padding);
+ vertical-align: baseline;
+ flex: 0 0 auto;
+}
+
+.jp-Stdin-input {
+ font-family: var(--jp-code-font-family);
+ font-size: inherit;
+ color: inherit;
+ background-color: inherit;
+ width: 42%;
+ min-width: 200px;
+
+ /* make sure input baseline aligns with prompt */
+ vertical-align: baseline;
+
+ /* padding + margin = 0.5em between prompt and cursor */
+ padding: 0 0.25em;
+ margin: 0 0.25em;
+ flex: 0 0 70%;
+}
+
+.jp-Stdin-input::placeholder {
+ opacity: 0;
+}
+
+.jp-Stdin-input:focus {
+ box-shadow: none;
+}
+
+.jp-Stdin-input:focus::placeholder {
+ opacity: 1;
+}
+
+/*-----------------------------------------------------------------------------
+| Output Area View
+|----------------------------------------------------------------------------*/
+
+.jp-LinkedOutputView .jp-OutputArea {
+ height: 100%;
+ display: block;
+}
+
+.jp-LinkedOutputView .jp-OutputArea-output:only-child {
+ height: 100%;
+}
+
+/*-----------------------------------------------------------------------------
+| Printing
+|----------------------------------------------------------------------------*/
+
+@media print {
+ .jp-OutputArea-child {
+ break-inside: avoid-page;
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Mobile
+|----------------------------------------------------------------------------*/
+@media only screen and (max-width: 760px) {
+ .jp-OutputPrompt {
+ display: table-row;
+ text-align: left;
+ }
+
+ .jp-OutputArea-child .jp-OutputArea-output {
+ display: table-row;
+ margin-left: var(--jp-notebook-padding);
+ }
+}
+
+/* Trimmed outputs warning */
+.jp-TrimmedOutputs > a {
+ margin: 10px;
+ text-decoration: none;
+ cursor: pointer;
+}
+
+.jp-TrimmedOutputs > a:hover {
+ text-decoration: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Table of Contents
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-private-toc-active-width: 4px;
+}
+
+.jp-TableOfContents {
+ display: flex;
+ flex-direction: column;
+ background: var(--jp-layout-color1);
+ color: var(--jp-ui-font-color1);
+ font-size: var(--jp-ui-font-size1);
+ height: 100%;
+}
+
+.jp-TableOfContents-placeholder {
+ text-align: center;
+}
+
+.jp-TableOfContents-placeholderContent {
+ color: var(--jp-content-font-color2);
+ padding: 8px;
+}
+
+.jp-TableOfContents-placeholderContent > h3 {
+ margin-bottom: var(--jp-content-heading-margin-bottom);
+}
+
+.jp-TableOfContents .jp-SidePanel-content {
+ overflow-y: auto;
+}
+
+.jp-TableOfContents-tree {
+ margin: 4px;
+}
+
+.jp-TableOfContents ol {
+ list-style-type: none;
+}
+
+/* stylelint-disable-next-line selector-max-type */
+.jp-TableOfContents li > ol {
+ /* Align left border with triangle icon center */
+ padding-left: 11px;
+}
+
+.jp-TableOfContents-content {
+ /* left margin for the active heading indicator */
+ margin: 0 0 0 var(--jp-private-toc-active-width);
+ padding: 0;
+ background-color: var(--jp-layout-color1);
+}
+
+.jp-tocItem {
+ -webkit-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+.jp-tocItem-heading {
+ display: flex;
+ cursor: pointer;
+}
+
+.jp-tocItem-heading:hover {
+ background-color: var(--jp-layout-color2);
+}
+
+.jp-tocItem-content {
+ display: block;
+ padding: 4px 0;
+ white-space: nowrap;
+ text-overflow: ellipsis;
+ overflow-x: hidden;
+}
+
+.jp-tocItem-collapser {
+ height: 20px;
+ margin: 2px 2px 0;
+ padding: 0;
+ background: none;
+ border: none;
+ cursor: pointer;
+}
+
+.jp-tocItem-collapser:hover {
+ background-color: var(--jp-layout-color3);
+}
+
+/* Active heading indicator */
+
+.jp-tocItem-heading::before {
+ content: ' ';
+ background: transparent;
+ width: var(--jp-private-toc-active-width);
+ height: 24px;
+ position: absolute;
+ left: 0;
+ border-radius: var(--jp-border-radius);
+}
+
+.jp-tocItem-heading.jp-tocItem-active::before {
+ background-color: var(--jp-brand-color1);
+}
+
+.jp-tocItem-heading:hover.jp-tocItem-active::before {
+ background: var(--jp-brand-color0);
+ opacity: 1;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+.jp-Collapser {
+ flex: 0 0 var(--jp-cell-collapser-width);
+ padding: 0;
+ margin: 0;
+ border: none;
+ outline: none;
+ background: transparent;
+ border-radius: var(--jp-border-radius);
+ opacity: 1;
+}
+
+.jp-Collapser-child {
+ display: block;
+ width: 100%;
+ box-sizing: border-box;
+
+ /* height: 100% doesn't work because the height of its parent is computed from content */
+ position: absolute;
+ top: 0;
+ bottom: 0;
+}
+
+/*-----------------------------------------------------------------------------
+| Printing
+|----------------------------------------------------------------------------*/
+
+/*
+Hiding collapsers in print mode.
+
+Note: input and output wrappers have "display: block" propery in print mode.
+*/
+
+@media print {
+ .jp-Collapser {
+ display: none;
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Header/Footer
+|----------------------------------------------------------------------------*/
+
+/* Hidden by zero height by default */
+.jp-CellHeader,
+.jp-CellFooter {
+ height: 0;
+ width: 100%;
+ padding: 0;
+ margin: 0;
+ border: none;
+ outline: none;
+ background: transparent;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Input
+|----------------------------------------------------------------------------*/
+
+/* All input areas */
+.jp-InputArea {
+ display: table;
+ table-layout: fixed;
+ width: 100%;
+ overflow: hidden;
+}
+
+.jp-InputArea-editor {
+ display: table-cell;
+ overflow: hidden;
+ vertical-align: top;
+
+ /* This is the non-active, default styling */
+ border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);
+ border-radius: 0;
+ background: var(--jp-cell-editor-background);
+}
+
+.jp-InputPrompt {
+ display: table-cell;
+ vertical-align: top;
+ width: var(--jp-cell-prompt-width);
+ color: var(--jp-cell-inprompt-font-color);
+ font-family: var(--jp-cell-prompt-font-family);
+ padding: var(--jp-code-padding);
+ letter-spacing: var(--jp-cell-prompt-letter-spacing);
+ opacity: var(--jp-cell-prompt-opacity);
+ line-height: var(--jp-code-line-height);
+ font-size: var(--jp-code-font-size);
+ border: var(--jp-border-width) solid transparent;
+
+ /* Right align prompt text, don't wrap to handle large prompt numbers */
+ text-align: right;
+ white-space: nowrap;
+ overflow: hidden;
+ text-overflow: ellipsis;
+
+ /* Disable text selection */
+ -webkit-user-select: none;
+ -moz-user-select: none;
+ -ms-user-select: none;
+ user-select: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Mobile
+|----------------------------------------------------------------------------*/
+@media only screen and (max-width: 760px) {
+ .jp-InputArea-editor {
+ display: table-row;
+ margin-left: var(--jp-notebook-padding);
+ }
+
+ .jp-InputPrompt {
+ display: table-row;
+ text-align: left;
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Placeholder
+|----------------------------------------------------------------------------*/
+
+.jp-Placeholder {
+ display: table;
+ table-layout: fixed;
+ width: 100%;
+}
+
+.jp-Placeholder-prompt {
+ display: table-cell;
+ box-sizing: border-box;
+}
+
+.jp-Placeholder-content {
+ display: table-cell;
+ padding: 4px 6px;
+ border: 1px solid transparent;
+ border-radius: 0;
+ background: none;
+ box-sizing: border-box;
+ cursor: pointer;
+}
+
+.jp-Placeholder-contentContainer {
+ display: flex;
+}
+
+.jp-Placeholder-content:hover,
+.jp-InputPlaceholder > .jp-Placeholder-content:hover {
+ border-color: var(--jp-layout-color3);
+}
+
+.jp-Placeholder-content .jp-MoreHorizIcon {
+ width: 32px;
+ height: 16px;
+ border: 1px solid transparent;
+ border-radius: var(--jp-border-radius);
+}
+
+.jp-Placeholder-content .jp-MoreHorizIcon:hover {
+ border: 1px solid var(--jp-border-color1);
+ box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.25);
+ background-color: var(--jp-layout-color0);
+}
+
+.jp-PlaceholderText {
+ white-space: nowrap;
+ overflow-x: hidden;
+ color: var(--jp-inverse-layout-color3);
+ font-family: var(--jp-code-font-family);
+}
+
+.jp-InputPlaceholder > .jp-Placeholder-content {
+ border-color: var(--jp-cell-editor-border-color);
+ background: var(--jp-cell-editor-background);
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Private CSS variables
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-private-cell-scrolling-output-offset: 5px;
+}
+
+/*-----------------------------------------------------------------------------
+| Cell
+|----------------------------------------------------------------------------*/
+
+.jp-Cell {
+ padding: var(--jp-cell-padding);
+ margin: 0;
+ border: none;
+ outline: none;
+ background: transparent;
+}
+
+/*-----------------------------------------------------------------------------
+| Common input/output
+|----------------------------------------------------------------------------*/
+
+.jp-Cell-inputWrapper,
+.jp-Cell-outputWrapper {
+ display: flex;
+ flex-direction: row;
+ padding: 0;
+ margin: 0;
+
+ /* Added to reveal the box-shadow on the input and output collapsers. */
+ overflow: visible;
+}
+
+/* Only input/output areas inside cells */
+.jp-Cell-inputArea,
+.jp-Cell-outputArea {
+ flex: 1 1 auto;
+}
+
+/*-----------------------------------------------------------------------------
+| Collapser
+|----------------------------------------------------------------------------*/
+
+/* Make the output collapser disappear when there is not output, but do so
+ * in a manner that leaves it in the layout and preserves its width.
+ */
+.jp-Cell.jp-mod-noOutputs .jp-Cell-outputCollapser {
+ border: none !important;
+ background: transparent !important;
+}
+
+.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputCollapser {
+ min-height: var(--jp-cell-collapser-min-height);
+}
+
+/*-----------------------------------------------------------------------------
+| Output
+|----------------------------------------------------------------------------*/
+
+/* Put a space between input and output when there IS output */
+.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputWrapper {
+ margin-top: 5px;
+}
+
+.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea {
+ overflow-y: auto;
+ max-height: 24em;
+ margin-left: var(--jp-private-cell-scrolling-output-offset);
+ resize: vertical;
+}
+
+.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea[style*='height'] {
+ max-height: unset;
+}
+
+.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea::after {
+ content: ' ';
+ box-shadow: inset 0 0 6px 2px rgb(0 0 0 / 30%);
+ width: 100%;
+ height: 100%;
+ position: sticky;
+ bottom: 0;
+ top: 0;
+ margin-top: -50%;
+ float: left;
+ display: block;
+ pointer-events: none;
+}
+
+.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-child {
+ padding-top: 6px;
+}
+
+.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-prompt {
+ width: calc(
+ var(--jp-cell-prompt-width) - var(--jp-private-cell-scrolling-output-offset)
+ );
+}
+
+.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay {
+ left: calc(-1 * var(--jp-private-cell-scrolling-output-offset));
+}
+
+/*-----------------------------------------------------------------------------
+| CodeCell
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| MarkdownCell
+|----------------------------------------------------------------------------*/
+
+.jp-MarkdownOutput {
+ display: table-cell;
+ width: 100%;
+ margin-top: 0;
+ margin-bottom: 0;
+ padding-left: var(--jp-code-padding);
+}
+
+.jp-MarkdownOutput.jp-RenderedHTMLCommon {
+ overflow: auto;
+}
+
+/* collapseHeadingButton (show always if hiddenCellsButton is _not_ shown) */
+.jp-collapseHeadingButton {
+ display: flex;
+ min-height: var(--jp-cell-collapser-min-height);
+ font-size: var(--jp-code-font-size);
+ position: absolute;
+ background-color: transparent;
+ background-size: 25px;
+ background-repeat: no-repeat;
+ background-position-x: center;
+ background-position-y: top;
+ background-image: var(--jp-icon-caret-down);
+ right: 0;
+ top: 0;
+ bottom: 0;
+}
+
+.jp-collapseHeadingButton.jp-mod-collapsed {
+ background-image: var(--jp-icon-caret-right);
+}
+
+/*
+ set the container font size to match that of content
+ so that the nested collapse buttons have the right size
+*/
+.jp-MarkdownCell .jp-InputPrompt {
+ font-size: var(--jp-content-font-size1);
+}
+
+/*
+ Align collapseHeadingButton with cell top header
+ The font sizes are identical to the ones in packages/rendermime/style/base.css
+*/
+.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='1'] {
+ font-size: var(--jp-content-font-size5);
+ background-position-y: calc(0.3 * var(--jp-content-font-size5));
+}
+
+.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='2'] {
+ font-size: var(--jp-content-font-size4);
+ background-position-y: calc(0.3 * var(--jp-content-font-size4));
+}
+
+.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='3'] {
+ font-size: var(--jp-content-font-size3);
+ background-position-y: calc(0.3 * var(--jp-content-font-size3));
+}
+
+.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='4'] {
+ font-size: var(--jp-content-font-size2);
+ background-position-y: calc(0.3 * var(--jp-content-font-size2));
+}
+
+.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='5'] {
+ font-size: var(--jp-content-font-size1);
+ background-position-y: top;
+}
+
+.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='6'] {
+ font-size: var(--jp-content-font-size0);
+ background-position-y: top;
+}
+
+/* collapseHeadingButton (show only on (hover,active) if hiddenCellsButton is shown) */
+.jp-Notebook.jp-mod-showHiddenCellsButton .jp-collapseHeadingButton {
+ display: none;
+}
+
+.jp-Notebook.jp-mod-showHiddenCellsButton
+ :is(.jp-MarkdownCell:hover, .jp-mod-active)
+ .jp-collapseHeadingButton {
+ display: flex;
+}
+
+/* showHiddenCellsButton (only show if jp-mod-showHiddenCellsButton is set, which
+is a consequence of the showHiddenCellsButton option in Notebook Settings)*/
+.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton {
+ margin-left: calc(var(--jp-cell-prompt-width) + 2 * var(--jp-code-padding));
+ margin-top: var(--jp-code-padding);
+ border: 1px solid var(--jp-border-color2);
+ background-color: var(--jp-border-color3) !important;
+ color: var(--jp-content-font-color0) !important;
+ display: flex;
+}
+
+.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton:hover {
+ background-color: var(--jp-border-color2) !important;
+}
+
+.jp-showHiddenCellsButton {
+ display: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Printing
+|----------------------------------------------------------------------------*/
+
+/*
+Using block instead of flex to allow the use of the break-inside CSS property for
+cell outputs.
+*/
+
+@media print {
+ .jp-Cell-inputWrapper,
+ .jp-Cell-outputWrapper {
+ display: block;
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Variables
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-notebook-toolbar-padding: 2px 5px 2px 2px;
+}
+
+/*-----------------------------------------------------------------------------
+
+/*-----------------------------------------------------------------------------
+| Styles
+|----------------------------------------------------------------------------*/
+
+.jp-NotebookPanel-toolbar {
+ padding: var(--jp-notebook-toolbar-padding);
+
+ /* disable paint containment from lumino 2.0 default strict CSS containment */
+ contain: style size !important;
+}
+
+.jp-Toolbar-item.jp-Notebook-toolbarCellType .jp-select-wrapper.jp-mod-focused {
+ border: none;
+ box-shadow: none;
+}
+
+.jp-Notebook-toolbarCellTypeDropdown select {
+ height: 24px;
+ font-size: var(--jp-ui-font-size1);
+ line-height: 14px;
+ border-radius: 0;
+ display: block;
+}
+
+.jp-Notebook-toolbarCellTypeDropdown span {
+ top: 5px !important;
+}
+
+.jp-Toolbar-responsive-popup {
+ position: absolute;
+ height: fit-content;
+ display: flex;
+ flex-direction: row;
+ flex-wrap: wrap;
+ justify-content: flex-end;
+ border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);
+ box-shadow: var(--jp-toolbar-box-shadow);
+ background: var(--jp-toolbar-background);
+ min-height: var(--jp-toolbar-micro-height);
+ padding: var(--jp-notebook-toolbar-padding);
+ z-index: 1;
+ right: 0;
+ top: 0;
+}
+
+.jp-Toolbar > .jp-Toolbar-responsive-opener {
+ margin-left: auto;
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Variables
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+
+/*-----------------------------------------------------------------------------
+| Styles
+|----------------------------------------------------------------------------*/
+
+.jp-Notebook-ExecutionIndicator {
+ position: relative;
+ display: inline-block;
+ height: 100%;
+ z-index: 9997;
+}
+
+.jp-Notebook-ExecutionIndicator-tooltip {
+ visibility: hidden;
+ height: auto;
+ width: max-content;
+ width: -moz-max-content;
+ background-color: var(--jp-layout-color2);
+ color: var(--jp-ui-font-color1);
+ text-align: justify;
+ border-radius: 6px;
+ padding: 0 5px;
+ position: fixed;
+ display: table;
+}
+
+.jp-Notebook-ExecutionIndicator-tooltip.up {
+ transform: translateX(-50%) translateY(-100%) translateY(-32px);
+}
+
+.jp-Notebook-ExecutionIndicator-tooltip.down {
+ transform: translateX(calc(-100% + 16px)) translateY(5px);
+}
+
+.jp-Notebook-ExecutionIndicator-tooltip.hidden {
+ display: none;
+}
+
+.jp-Notebook-ExecutionIndicator:hover .jp-Notebook-ExecutionIndicator-tooltip {
+ visibility: visible;
+}
+
+.jp-Notebook-ExecutionIndicator span {
+ font-size: var(--jp-ui-font-size1);
+ font-family: var(--jp-ui-font-family);
+ color: var(--jp-ui-font-color1);
+ line-height: 24px;
+ display: block;
+}
+
+.jp-Notebook-ExecutionIndicator-progress-bar {
+ display: flex;
+ justify-content: center;
+ height: 100%;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+/*
+ * Execution indicator
+ */
+.jp-tocItem-content::after {
+ content: '';
+
+ /* Must be identical to form a circle */
+ width: 12px;
+ height: 12px;
+ background: none;
+ border: none;
+ position: absolute;
+ right: 0;
+}
+
+.jp-tocItem-content[data-running='0']::after {
+ border-radius: 50%;
+ border: var(--jp-border-width) solid var(--jp-inverse-layout-color3);
+ background: none;
+}
+
+.jp-tocItem-content[data-running='1']::after {
+ border-radius: 50%;
+ border: var(--jp-border-width) solid var(--jp-inverse-layout-color3);
+ background-color: var(--jp-inverse-layout-color3);
+}
+
+.jp-tocItem-content[data-running='0'],
+.jp-tocItem-content[data-running='1'] {
+ margin-right: 12px;
+}
+
+/*
+ * Copyright (c) Jupyter Development Team.
+ * Distributed under the terms of the Modified BSD License.
+ */
+
+.jp-Notebook-footer {
+ height: 27px;
+ margin-left: calc(
+ var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) +
+ var(--jp-cell-padding)
+ );
+ width: calc(
+ 100% -
+ (
+ var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) +
+ var(--jp-cell-padding) + var(--jp-cell-padding)
+ )
+ );
+ border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);
+ color: var(--jp-ui-font-color3);
+ margin-top: 6px;
+ background: none;
+ cursor: pointer;
+}
+
+.jp-Notebook-footer:focus {
+ border-color: var(--jp-cell-editor-active-border-color);
+}
+
+/* For devices that support hovering, hide footer until hover */
+@media (hover: hover) {
+ .jp-Notebook-footer {
+ opacity: 0;
+ }
+
+ .jp-Notebook-footer:focus,
+ .jp-Notebook-footer:hover {
+ opacity: 1;
+ }
+}
+
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| Imports
+|----------------------------------------------------------------------------*/
+
+/*-----------------------------------------------------------------------------
+| CSS variables
+|----------------------------------------------------------------------------*/
+
+:root {
+ --jp-side-by-side-output-size: 1fr;
+ --jp-side-by-side-resized-cell: var(--jp-side-by-side-output-size);
+ --jp-private-notebook-dragImage-width: 304px;
+ --jp-private-notebook-dragImage-height: 36px;
+ --jp-private-notebook-selected-color: var(--md-blue-400);
+ --jp-private-notebook-active-color: var(--md-green-400);
+}
+
+/*-----------------------------------------------------------------------------
+| Notebook
+|----------------------------------------------------------------------------*/
+
+/* stylelint-disable selector-max-class */
+
+.jp-NotebookPanel {
+ display: block;
+ height: 100%;
+}
+
+.jp-NotebookPanel.jp-Document {
+ min-width: 240px;
+ min-height: 120px;
+}
+
+.jp-Notebook {
+ padding: var(--jp-notebook-padding);
+ outline: none;
+ overflow: auto;
+ background: var(--jp-layout-color0);
+}
+
+.jp-Notebook.jp-mod-scrollPastEnd::after {
+ display: block;
+ content: '';
+ min-height: var(--jp-notebook-scroll-padding);
+}
+
+.jp-MainAreaWidget-ContainStrict .jp-Notebook * {
+ contain: strict;
+}
+
+.jp-Notebook .jp-Cell {
+ overflow: visible;
+}
+
+.jp-Notebook .jp-Cell .jp-InputPrompt {
+ cursor: move;
+}
+
+/*-----------------------------------------------------------------------------
+| Notebook state related styling
+|
+| The notebook and cells each have states, here are the possibilities:
+|
+| - Notebook
+| - Command
+| - Edit
+| - Cell
+| - None
+| - Active (only one can be active)
+| - Selected (the cells actions are applied to)
+| - Multiselected (when multiple selected, the cursor)
+| - No outputs
+|----------------------------------------------------------------------------*/
+
+/* Command or edit modes */
+
+.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-InputPrompt {
+ opacity: var(--jp-cell-prompt-not-active-opacity);
+ color: var(--jp-cell-prompt-not-active-font-color);
+}
+
+.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-OutputPrompt {
+ opacity: var(--jp-cell-prompt-not-active-opacity);
+ color: var(--jp-cell-prompt-not-active-font-color);
+}
+
+/* cell is active */
+.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser {
+ background: var(--jp-brand-color1);
+}
+
+/* cell is dirty */
+.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt {
+ color: var(--jp-warn-color1);
+}
+
+.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt::before {
+ color: var(--jp-warn-color1);
+ content: '•';
+}
+
+.jp-Notebook .jp-Cell.jp-mod-active.jp-mod-dirty .jp-Collapser {
+ background: var(--jp-warn-color1);
+}
+
+/* collapser is hovered */
+.jp-Notebook .jp-Cell .jp-Collapser:hover {
+ box-shadow: var(--jp-elevation-z2);
+ background: var(--jp-brand-color1);
+ opacity: var(--jp-cell-collapser-not-active-hover-opacity);
+}
+
+/* cell is active and collapser is hovered */
+.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser:hover {
+ background: var(--jp-brand-color0);
+ opacity: 1;
+}
+
+/* Command mode */
+
+.jp-Notebook.jp-mod-commandMode .jp-Cell.jp-mod-selected {
+ background: var(--jp-notebook-multiselected-color);
+}
+
+.jp-Notebook.jp-mod-commandMode
+ .jp-Cell.jp-mod-active.jp-mod-selected:not(.jp-mod-multiSelected) {
+ background: transparent;
+}
+
+/* Edit mode */
+
+.jp-Notebook.jp-mod-editMode .jp-Cell.jp-mod-active .jp-InputArea-editor {
+ border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color);
+ box-shadow: var(--jp-input-box-shadow);
+ background-color: var(--jp-cell-editor-active-background);
+}
+
+/*-----------------------------------------------------------------------------
+| Notebook drag and drop
+|----------------------------------------------------------------------------*/
+
+.jp-Notebook-cell.jp-mod-dropSource {
+ opacity: 0.5;
+}
+
+.jp-Notebook-cell.jp-mod-dropTarget,
+.jp-Notebook.jp-mod-commandMode
+ .jp-Notebook-cell.jp-mod-active.jp-mod-selected.jp-mod-dropTarget {
+ border-top-color: var(--jp-private-notebook-selected-color);
+ border-top-style: solid;
+ border-top-width: 2px;
+}
+
+.jp-dragImage {
+ display: block;
+ flex-direction: row;
+ width: var(--jp-private-notebook-dragImage-width);
+ height: var(--jp-private-notebook-dragImage-height);
+ border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);
+ background: var(--jp-cell-editor-background);
+ overflow: visible;
+}
+
+.jp-dragImage-singlePrompt {
+ box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12);
+}
+
+.jp-dragImage .jp-dragImage-content {
+ flex: 1 1 auto;
+ z-index: 2;
+ font-size: var(--jp-code-font-size);
+ font-family: var(--jp-code-font-family);
+ line-height: var(--jp-code-line-height);
+ padding: var(--jp-code-padding);
+ border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);
+ background: var(--jp-cell-editor-background-color);
+ color: var(--jp-content-font-color3);
+ text-align: left;
+ margin: 4px 4px 4px 0;
+}
+
+.jp-dragImage .jp-dragImage-prompt {
+ flex: 0 0 auto;
+ min-width: 36px;
+ color: var(--jp-cell-inprompt-font-color);
+ padding: var(--jp-code-padding);
+ padding-left: 12px;
+ font-family: var(--jp-cell-prompt-font-family);
+ letter-spacing: var(--jp-cell-prompt-letter-spacing);
+ line-height: 1.9;
+ font-size: var(--jp-code-font-size);
+ border: var(--jp-border-width) solid transparent;
+}
+
+.jp-dragImage-multipleBack {
+ z-index: -1;
+ position: absolute;
+ height: 32px;
+ width: 300px;
+ top: 8px;
+ left: 8px;
+ background: var(--jp-layout-color2);
+ border: var(--jp-border-width) solid var(--jp-input-border-color);
+ box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12);
+}
+
+/*-----------------------------------------------------------------------------
+| Cell toolbar
+|----------------------------------------------------------------------------*/
+
+.jp-NotebookTools {
+ display: block;
+ min-width: var(--jp-sidebar-min-width);
+ color: var(--jp-ui-font-color1);
+ background: var(--jp-layout-color1);
+
+ /* This is needed so that all font sizing of children done in ems is
+ * relative to this base size */
+ font-size: var(--jp-ui-font-size1);
+ overflow: auto;
+}
+
+.jp-ActiveCellTool {
+ padding: 12px 0;
+ display: flex;
+}
+
+.jp-ActiveCellTool-Content {
+ flex: 1 1 auto;
+}
+
+.jp-ActiveCellTool .jp-ActiveCellTool-CellContent {
+ background: var(--jp-cell-editor-background);
+ border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);
+ border-radius: 0;
+ min-height: 29px;
+}
+
+.jp-ActiveCellTool .jp-InputPrompt {
+ min-width: calc(var(--jp-cell-prompt-width) * 0.75);
+}
+
+.jp-ActiveCellTool-CellContent > pre {
+ padding: 5px 4px;
+ margin: 0;
+ white-space: normal;
+}
+
+.jp-MetadataEditorTool {
+ flex-direction: column;
+ padding: 12px 0;
+}
+
+.jp-RankedPanel > :not(:first-child) {
+ margin-top: 12px;
+}
+
+.jp-KeySelector select.jp-mod-styled {
+ font-size: var(--jp-ui-font-size1);
+ color: var(--jp-ui-font-color0);
+ border: var(--jp-border-width) solid var(--jp-border-color1);
+}
+
+.jp-KeySelector label,
+.jp-MetadataEditorTool label,
+.jp-NumberSetter label {
+ line-height: 1.4;
+}
+
+.jp-NotebookTools .jp-select-wrapper {
+ margin-top: 4px;
+ margin-bottom: 0;
+}
+
+.jp-NumberSetter input {
+ width: 100%;
+ margin-top: 4px;
+}
+
+.jp-NotebookTools .jp-Collapse {
+ margin-top: 16px;
+}
+
+/*-----------------------------------------------------------------------------
+| Presentation Mode (.jp-mod-presentationMode)
+|----------------------------------------------------------------------------*/
+
+.jp-mod-presentationMode .jp-Notebook {
+ --jp-content-font-size1: var(--jp-content-presentation-font-size1);
+ --jp-code-font-size: var(--jp-code-presentation-font-size);
+}
+
+.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-InputPrompt,
+.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-OutputPrompt {
+ flex: 0 0 110px;
+}
+
+/*-----------------------------------------------------------------------------
+| Side-by-side Mode (.jp-mod-sideBySide)
+|----------------------------------------------------------------------------*/
+.jp-mod-sideBySide.jp-Notebook .jp-Notebook-cell {
+ margin-top: 3em;
+ margin-bottom: 3em;
+ margin-left: 5%;
+ margin-right: 5%;
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell {
+ display: grid;
+ grid-template-columns: minmax(0, 1fr) min-content minmax(
+ 0,
+ var(--jp-side-by-side-output-size)
+ );
+ grid-template-rows: auto minmax(0, 1fr) auto;
+ grid-template-areas:
+ 'header header header'
+ 'input handle output'
+ 'footer footer footer';
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell.jp-mod-resizedCell {
+ grid-template-columns: minmax(0, 1fr) min-content minmax(
+ 0,
+ var(--jp-side-by-side-resized-cell)
+ );
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellHeader {
+ grid-area: header;
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-inputWrapper {
+ grid-area: input;
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-outputWrapper {
+ /* overwrite the default margin (no vertical separation needed in side by side move */
+ margin-top: 0;
+ grid-area: output;
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellFooter {
+ grid-area: footer;
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle {
+ grid-area: handle;
+ user-select: none;
+ display: block;
+ height: 100%;
+ cursor: ew-resize;
+ padding: 0 var(--jp-cell-padding);
+}
+
+.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle::after {
+ content: '';
+ display: block;
+ background: var(--jp-border-color2);
+ height: 100%;
+ width: 5px;
+}
+
+.jp-mod-sideBySide.jp-Notebook
+ .jp-CodeCell.jp-mod-resizedCell
+ .jp-CellResizeHandle::after {
+ background: var(--jp-border-color0);
+}
+
+.jp-CellResizeHandle {
+ display: none;
+}
+
+/*-----------------------------------------------------------------------------
+| Placeholder
+|----------------------------------------------------------------------------*/
+
+.jp-Cell-Placeholder {
+ padding-left: 55px;
+}
+
+.jp-Cell-Placeholder-wrapper {
+ background: #fff;
+ border: 1px solid;
+ border-color: #e5e6e9 #dfe0e4 #d0d1d5;
+ border-radius: 4px;
+ -webkit-border-radius: 4px;
+ margin: 10px 15px;
+}
+
+.jp-Cell-Placeholder-wrapper-inner {
+ padding: 15px;
+ position: relative;
+}
+
+.jp-Cell-Placeholder-wrapper-body {
+ background-repeat: repeat;
+ background-size: 50% auto;
+}
+
+.jp-Cell-Placeholder-wrapper-body div {
+ background: #f6f7f8;
+ background-image: -webkit-linear-gradient(
+ left,
+ #f6f7f8 0%,
+ #edeef1 20%,
+ #f6f7f8 40%,
+ #f6f7f8 100%
+ );
+ background-repeat: no-repeat;
+ background-size: 800px 104px;
+ height: 104px;
+ position: absolute;
+ right: 15px;
+ left: 15px;
+ top: 15px;
+}
+
+div.jp-Cell-Placeholder-h1 {
+ top: 20px;
+ height: 20px;
+ left: 15px;
+ width: 150px;
+}
+
+div.jp-Cell-Placeholder-h2 {
+ left: 15px;
+ top: 50px;
+ height: 10px;
+ width: 100px;
+}
+
+div.jp-Cell-Placeholder-content-1,
+div.jp-Cell-Placeholder-content-2,
+div.jp-Cell-Placeholder-content-3 {
+ left: 15px;
+ right: 15px;
+ height: 10px;
+}
+
+div.jp-Cell-Placeholder-content-1 {
+ top: 100px;
+}
+
+div.jp-Cell-Placeholder-content-2 {
+ top: 120px;
+}
+
+div.jp-Cell-Placeholder-content-3 {
+ top: 140px;
+}
+
+</style>
+<style type="text/css">
+/*-----------------------------------------------------------------------------
+| Copyright (c) Jupyter Development Team.
+| Distributed under the terms of the Modified BSD License.
+|----------------------------------------------------------------------------*/
+
+/*
+The following CSS variables define the main, public API for styling JupyterLab.
+These variables should be used by all plugins wherever possible. In other
+words, plugins should not define custom colors, sizes, etc unless absolutely
+necessary. This enables users to change the visual theme of JupyterLab
+by changing these variables.
+
+Many variables appear in an ordered sequence (0,1,2,3). These sequences
+are designed to work well together, so for example, `--jp-border-color1` should
+be used with `--jp-layout-color1`. The numbers have the following meanings:
+
+* 0: super-primary, reserved for special emphasis
+* 1: primary, most important under normal situations
+* 2: secondary, next most important under normal situations
+* 3: tertiary, next most important under normal situations
+
+Throughout JupyterLab, we are mostly following principles from Google's
+Material Design when selecting colors. We are not, however, following
+all of MD as it is not optimized for dense, information rich UIs.
+*/
+
+:root {
+ /* Elevation
+ *
+ * We style box-shadows using Material Design's idea of elevation. These particular numbers are taken from here:
+ *
+ * https://github.com/material-components/material-components-web
+ * https://material-components-web.appspot.com/elevation.html
+ */
+
+ --jp-shadow-base-lightness: 0;
+ --jp-shadow-umbra-color: rgba(
+ var(--jp-shadow-base-lightness),
+ var(--jp-shadow-base-lightness),
+ var(--jp-shadow-base-lightness),
+ 0.2
+ );
+ --jp-shadow-penumbra-color: rgba(
+ var(--jp-shadow-base-lightness),
+ var(--jp-shadow-base-lightness),
+ var(--jp-shadow-base-lightness),
+ 0.14
+ );
+ --jp-shadow-ambient-color: rgba(
+ var(--jp-shadow-base-lightness),
+ var(--jp-shadow-base-lightness),
+ var(--jp-shadow-base-lightness),
+ 0.12
+ );
+ --jp-elevation-z0: none;
+ --jp-elevation-z1: 0 2px 1px -1px var(--jp-shadow-umbra-color),
+ 0 1px 1px 0 var(--jp-shadow-penumbra-color),
+ 0 1px 3px 0 var(--jp-shadow-ambient-color);
+ --jp-elevation-z2: 0 3px 1px -2px var(--jp-shadow-umbra-color),
+ 0 2px 2px 0 var(--jp-shadow-penumbra-color),
+ 0 1px 5px 0 var(--jp-shadow-ambient-color);
+ --jp-elevation-z4: 0 2px 4px -1px var(--jp-shadow-umbra-color),
+ 0 4px 5px 0 var(--jp-shadow-penumbra-color),
+ 0 1px 10px 0 var(--jp-shadow-ambient-color);
+ --jp-elevation-z6: 0 3px 5px -1px var(--jp-shadow-umbra-color),
+ 0 6px 10px 0 var(--jp-shadow-penumbra-color),
+ 0 1px 18px 0 var(--jp-shadow-ambient-color);
+ --jp-elevation-z8: 0 5px 5px -3px var(--jp-shadow-umbra-color),
+ 0 8px 10px 1px var(--jp-shadow-penumbra-color),
+ 0 3px 14px 2px var(--jp-shadow-ambient-color);
+ --jp-elevation-z12: 0 7px 8px -4px var(--jp-shadow-umbra-color),
+ 0 12px 17px 2px var(--jp-shadow-penumbra-color),
+ 0 5px 22px 4px var(--jp-shadow-ambient-color);
+ --jp-elevation-z16: 0 8px 10px -5px var(--jp-shadow-umbra-color),
+ 0 16px 24px 2px var(--jp-shadow-penumbra-color),
+ 0 6px 30px 5px var(--jp-shadow-ambient-color);
+ --jp-elevation-z20: 0 10px 13px -6px var(--jp-shadow-umbra-color),
+ 0 20px 31px 3px var(--jp-shadow-penumbra-color),
+ 0 8px 38px 7px var(--jp-shadow-ambient-color);
+ --jp-elevation-z24: 0 11px 15px -7px var(--jp-shadow-umbra-color),
+ 0 24px 38px 3px var(--jp-shadow-penumbra-color),
+ 0 9px 46px 8px var(--jp-shadow-ambient-color);
+
+ /* Borders
+ *
+ * The following variables, specify the visual styling of borders in JupyterLab.
+ */
+
+ --jp-border-width: 1px;
+ --jp-border-color0: var(--md-grey-400);
+ --jp-border-color1: var(--md-grey-400);
+ --jp-border-color2: var(--md-grey-300);
+ --jp-border-color3: var(--md-grey-200);
+ --jp-inverse-border-color: var(--md-grey-600);
+ --jp-border-radius: 2px;
+
+ /* UI Fonts
+ *
+ * The UI font CSS variables are used for the typography all of the JupyterLab
+ * user interface elements that are not directly user generated content.
+ *
+ * The font sizing here is done assuming that the body font size of --jp-ui-font-size1
+ * is applied to a parent element. When children elements, such as headings, are sized
+ * in em all things will be computed relative to that body size.
+ */
+
+ --jp-ui-font-scale-factor: 1.2;
+ --jp-ui-font-size0: 0.83333em;
+ --jp-ui-font-size1: 13px; /* Base font size */
+ --jp-ui-font-size2: 1.2em;
+ --jp-ui-font-size3: 1.44em;
+ --jp-ui-font-family: system-ui, -apple-system, blinkmacsystemfont, 'Segoe UI',
+ helvetica, arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji',
+ 'Segoe UI Symbol';
+
+ /*
+ * Use these font colors against the corresponding main layout colors.
+ * In a light theme, these go from dark to light.
+ */
+
+ /* Defaults use Material Design specification */
+ --jp-ui-font-color0: rgba(0, 0, 0, 1);
+ --jp-ui-font-color1: rgba(0, 0, 0, 0.87);
+ --jp-ui-font-color2: rgba(0, 0, 0, 0.54);
+ --jp-ui-font-color3: rgba(0, 0, 0, 0.38);
+
+ /*
+ * Use these against the brand/accent/warn/error colors.
+ * These will typically go from light to darker, in both a dark and light theme.
+ */
+
+ --jp-ui-inverse-font-color0: rgba(255, 255, 255, 1);
+ --jp-ui-inverse-font-color1: rgba(255, 255, 255, 1);
+ --jp-ui-inverse-font-color2: rgba(255, 255, 255, 0.7);
+ --jp-ui-inverse-font-color3: rgba(255, 255, 255, 0.5);
+
+ /* Content Fonts
+ *
+ * Content font variables are used for typography of user generated content.
+ *
+ * The font sizing here is done assuming that the body font size of --jp-content-font-size1
+ * is applied to a parent element. When children elements, such as headings, are sized
+ * in em all things will be computed relative to that body size.
+ */
+
+ --jp-content-line-height: 1.6;
+ --jp-content-font-scale-factor: 1.2;
+ --jp-content-font-size0: 0.83333em;
+ --jp-content-font-size1: 14px; /* Base font size */
+ --jp-content-font-size2: 1.2em;
+ --jp-content-font-size3: 1.44em;
+ --jp-content-font-size4: 1.728em;
+ --jp-content-font-size5: 2.0736em;
+
+ /* This gives a magnification of about 125% in presentation mode over normal. */
+ --jp-content-presentation-font-size1: 17px;
+ --jp-content-heading-line-height: 1;
+ --jp-content-heading-margin-top: 1.2em;
+ --jp-content-heading-margin-bottom: 0.8em;
+ --jp-content-heading-font-weight: 500;
+
+ /* Defaults use Material Design specification */
+ --jp-content-font-color0: rgba(0, 0, 0, 1);
+ --jp-content-font-color1: rgba(0, 0, 0, 0.87);
+ --jp-content-font-color2: rgba(0, 0, 0, 0.54);
+ --jp-content-font-color3: rgba(0, 0, 0, 0.38);
+ --jp-content-link-color: var(--md-blue-900);
+ --jp-content-font-family: system-ui, -apple-system, blinkmacsystemfont,
+ 'Segoe UI', helvetica, arial, sans-serif, 'Apple Color Emoji',
+ 'Segoe UI Emoji', 'Segoe UI Symbol';
+
+ /*
+ * Code Fonts
+ *
+ * Code font variables are used for typography of code and other monospaces content.
+ */
+
+ --jp-code-font-size: 13px;
+ --jp-code-line-height: 1.3077; /* 17px for 13px base */
+ --jp-code-padding: 5px; /* 5px for 13px base, codemirror highlighting needs integer px value */
+ --jp-code-font-family-default: menlo, consolas, 'DejaVu Sans Mono', monospace;
+ --jp-code-font-family: var(--jp-code-font-family-default);
+
+ /* This gives a magnification of about 125% in presentation mode over normal. */
+ --jp-code-presentation-font-size: 16px;
+
+ /* may need to tweak cursor width if you change font size */
+ --jp-code-cursor-width0: 1.4px;
+ --jp-code-cursor-width1: 2px;
+ --jp-code-cursor-width2: 4px;
+
+ /* Layout
+ *
+ * The following are the main layout colors use in JupyterLab. In a light
+ * theme these would go from light to dark.
+ */
+
+ --jp-layout-color0: white;
+ --jp-layout-color1: white;
+ --jp-layout-color2: var(--md-grey-200);
+ --jp-layout-color3: var(--md-grey-400);
+ --jp-layout-color4: var(--md-grey-600);
+
+ /* Inverse Layout
+ *
+ * The following are the inverse layout colors use in JupyterLab. In a light
+ * theme these would go from dark to light.
+ */
+
+ --jp-inverse-layout-color0: #111;
+ --jp-inverse-layout-color1: var(--md-grey-900);
+ --jp-inverse-layout-color2: var(--md-grey-800);
+ --jp-inverse-layout-color3: var(--md-grey-700);
+ --jp-inverse-layout-color4: var(--md-grey-600);
+
+ /* Brand/accent */
+
+ --jp-brand-color0: var(--md-blue-900);
+ --jp-brand-color1: var(--md-blue-700);
+ --jp-brand-color2: var(--md-blue-300);
+ --jp-brand-color3: var(--md-blue-100);
+ --jp-brand-color4: var(--md-blue-50);
+ --jp-accent-color0: var(--md-green-900);
+ --jp-accent-color1: var(--md-green-700);
+ --jp-accent-color2: var(--md-green-300);
+ --jp-accent-color3: var(--md-green-100);
+
+ /* State colors (warn, error, success, info) */
+
+ --jp-warn-color0: var(--md-orange-900);
+ --jp-warn-color1: var(--md-orange-700);
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+ --jp-error-color2: var(--md-red-300);
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+ --jp-info-color0: var(--md-cyan-900);
+ --jp-info-color1: var(--md-cyan-700);
+ --jp-info-color2: var(--md-cyan-300);
+ --jp-info-color3: var(--md-cyan-100);
+
+ /* Cell specific styles */
+
+ --jp-cell-padding: 5px;
+ --jp-cell-collapser-width: 8px;
+ --jp-cell-collapser-min-height: 20px;
+ --jp-cell-collapser-not-active-hover-opacity: 0.6;
+ --jp-cell-editor-background: var(--md-grey-100);
+ --jp-cell-editor-border-color: var(--md-grey-300);
+ --jp-cell-editor-box-shadow: inset 0 0 2px var(--md-blue-300);
+ --jp-cell-editor-active-background: var(--jp-layout-color0);
+ --jp-cell-editor-active-border-color: var(--jp-brand-color1);
+ --jp-cell-prompt-width: 64px;
+ --jp-cell-prompt-font-family: var(--jp-code-font-family-default);
+ --jp-cell-prompt-letter-spacing: 0;
+ --jp-cell-prompt-opacity: 1;
+ --jp-cell-prompt-not-active-opacity: 0.5;
+ --jp-cell-prompt-not-active-font-color: var(--md-grey-700);
+
+ /* A custom blend of MD grey and blue 600
+ * See https://meyerweb.com/eric/tools/color-blend/#546E7A:1E88E5:5:hex */
+ --jp-cell-inprompt-font-color: #307fc1;
+
+ /* A custom blend of MD grey and orange 600
+ * https://meyerweb.com/eric/tools/color-blend/#546E7A:F4511E:5:hex */
+ --jp-cell-outprompt-font-color: #bf5b3d;
+
+ /* Notebook specific styles */
+
+ --jp-notebook-padding: 10px;
+ --jp-notebook-select-background: var(--jp-layout-color1);
+ --jp-notebook-multiselected-color: var(--md-blue-50);
+
+ /* The scroll padding is calculated to fill enough space at the bottom of the
+ notebook to show one single-line cell (with appropriate padding) at the top
+ when the notebook is scrolled all the way to the bottom. We also subtract one
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+ notebook. This padding is to enable a 'scroll past end' feature in a notebook.
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+ var(--jp-code-padding) - var(--jp-cell-padding) - 1px
+ );
+
+ /* Rendermime styles */
+
+ --jp-rendermime-error-background: #fdd;
+ --jp-rendermime-table-row-background: var(--md-grey-100);
+ --jp-rendermime-table-row-hover-background: var(--md-light-blue-50);
+
+ /* Dialog specific styles */
+
+ --jp-dialog-background: rgba(0, 0, 0, 0.25);
+
+ /* Console specific styles */
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+ --jp-console-padding: 10px;
+
+ /* Toolbar specific styles */
+
+ --jp-toolbar-border-color: var(--jp-border-color1);
+ --jp-toolbar-micro-height: 8px;
+ --jp-toolbar-background: var(--jp-layout-color1);
+ --jp-toolbar-box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.24);
+ --jp-toolbar-header-margin: 4px 4px 0 4px;
+ --jp-toolbar-active-background: var(--md-grey-300);
+
+ /* Statusbar specific styles */
+
+ --jp-statusbar-height: 24px;
+
+ /* Input field styles */
+
+ --jp-input-box-shadow: inset 0 0 2px var(--md-blue-300);
+ --jp-input-active-background: var(--jp-layout-color1);
+ --jp-input-hover-background: var(--jp-layout-color1);
+ --jp-input-background: var(--md-grey-100);
+ --jp-input-border-color: var(--jp-inverse-border-color);
+ --jp-input-active-border-color: var(--jp-brand-color1);
+ --jp-input-active-box-shadow-color: rgba(19, 124, 189, 0.3);
+
+ /* General editor styles */
+
+ --jp-editor-selected-background: #d9d9d9;
+ --jp-editor-selected-focused-background: #d7d4f0;
+ --jp-editor-cursor-color: var(--jp-ui-font-color0);
+
+ /* Code mirror specific styles */
+
+ --jp-mirror-editor-keyword-color: #008000;
+ --jp-mirror-editor-atom-color: #88f;
+ --jp-mirror-editor-number-color: #080;
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+ --jp-mirror-editor-variable-color: var(--md-grey-900);
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+ --jp-mirror-editor-variable-3-color: #085;
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+ --jp-mirror-editor-qualifier-color: #555;
+ --jp-mirror-editor-builtin-color: #008000;
+ --jp-mirror-editor-bracket-color: #997;
+ --jp-mirror-editor-tag-color: #170;
+ --jp-mirror-editor-attribute-color: #00c;
+ --jp-mirror-editor-header-color: blue;
+ --jp-mirror-editor-quote-color: #090;
+ --jp-mirror-editor-link-color: #00c;
+ --jp-mirror-editor-error-color: #f00;
+ --jp-mirror-editor-hr-color: #999;
+
+ /*
+ RTC user specific colors.
+ These colors are used for the cursor, username in the editor,
+ and the icon of the user.
+ */
+
+ --jp-collaborator-color1: #ffad8e;
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+ --jp-collaborator-color5: #45d4ff;
+ --jp-collaborator-color6: #e2b1ff;
+ --jp-collaborator-color7: #ff9de6;
+
+ /* Vega extension styles */
+
+ --jp-vega-background: white;
+
+ /* Sidebar-related styles */
+
+ --jp-sidebar-min-width: 250px;
+
+ /* Search-related styles */
+
+ --jp-search-toggle-off-opacity: 0.5;
+ --jp-search-toggle-hover-opacity: 0.8;
+ --jp-search-toggle-on-opacity: 1;
+ --jp-search-selected-match-background-color: rgb(245, 200, 0);
+ --jp-search-selected-match-color: black;
+ --jp-search-unselected-match-background-color: var(
+ --jp-inverse-layout-color0
+ );
+ --jp-search-unselected-match-color: var(--jp-ui-inverse-font-color0);
+
+ /* Icon colors that work well with light or dark backgrounds */
+ --jp-icon-contrast-color0: var(--md-purple-600);
+ --jp-icon-contrast-color1: var(--md-green-600);
+ --jp-icon-contrast-color2: var(--md-pink-600);
+ --jp-icon-contrast-color3: var(--md-blue-600);
+
+ /* Button colors */
+ --jp-accept-color-normal: var(--md-blue-700);
+ --jp-accept-color-hover: var(--md-blue-800);
+ --jp-accept-color-active: var(--md-blue-900);
+ --jp-warn-color-normal: var(--md-red-700);
+ --jp-warn-color-hover: var(--md-red-800);
+ --jp-warn-color-active: var(--md-red-900);
+ --jp-reject-color-normal: var(--md-grey-600);
+ --jp-reject-color-hover: var(--md-grey-700);
+ --jp-reject-color-active: var(--md-grey-800);
+
+ /* File or activity icons and switch semantic variables */
+ --jp-jupyter-icon-color: #f37626;
+ --jp-notebook-icon-color: #f37626;
+ --jp-json-icon-color: var(--md-orange-700);
+ --jp-console-icon-background-color: var(--md-blue-700);
+ --jp-console-icon-color: white;
+ --jp-terminal-icon-background-color: var(--md-grey-800);
+ --jp-terminal-icon-color: var(--md-grey-200);
+ --jp-text-editor-icon-color: var(--md-grey-700);
+ --jp-inspector-icon-color: var(--md-grey-700);
+ --jp-switch-color: var(--md-grey-400);
+ --jp-switch-true-position-color: var(--md-orange-900);
+}
+</style>
+<style type="text/css">
+/* Force rendering true colors when outputing to pdf */
+* {
+ -webkit-print-color-adjust: exact;
+}
+
+/* Misc */
+a.anchor-link {
+ display: none;
+}
+
+/* Input area styling */
+.jp-InputArea {
+ overflow: hidden;
+}
+
+.jp-InputArea-editor {
+ overflow: hidden;
+}
+
+.cm-editor.cm-s-jupyter .highlight pre {
+/* weird, but --jp-code-padding defined to be 5px but 4px horizontal padding is hardcoded for pre.cm-line */
+ padding: var(--jp-code-padding) 4px;
+ margin: 0;
+
+ font-family: inherit;
+ font-size: inherit;
+ line-height: inherit;
+ color: inherit;
+
+}
+
+.jp-OutputArea-output pre {
+ line-height: inherit;
+ font-family: inherit;
+}
+
+.jp-RenderedText pre {
+ color: var(--jp-content-font-color1);
+ font-size: var(--jp-code-font-size);
+}
+
+/* Hiding the collapser by default */
+.jp-Collapser {
+ display: none;
+}
+
+@page {
+ margin: 0.5in; /* Margin for each printed piece of paper */
+}
+
+@media print {
+ .jp-Cell-inputWrapper,
+ .jp-Cell-outputWrapper {
+ display: block;
+ }
+}
+</style>
+<!-- Load mathjax -->
+<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/latest.js?config=TeX-AMS_CHTML-full,Safe"> </script>
+<!-- MathJax configuration -->
+<script type="text/x-mathjax-config">
+ init_mathjax = function() {
+ if (window.MathJax) {
+ // MathJax loaded
+ MathJax.Hub.Config({
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+ displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
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+ displayAlign: 'center',
+ CommonHTML: {
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+ automatic: true
+ }
+ }
+ });
+
+ MathJax.Hub.Queue(["Typeset", MathJax.Hub]);
+ }
+ }
+ init_mathjax();
+ </script>
+<!-- End of mathjax configuration --><script type="module">
+ document.addEventListener("DOMContentLoaded", async () => {
+ const diagrams = document.querySelectorAll(".jp-Mermaid > pre.mermaid");
+ // do not load mermaidjs if not needed
+ if (!diagrams.length) {
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+ }
+ const mermaid = (await import("https://cdnjs.cloudflare.com/ajax/libs/mermaid/10.6.0/mermaid.esm.min.mjs")).default;
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+ mermaid.initialize({
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+ let _nextMermaidId = 0;
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+
+ img.setAttribute("src", `data:image/svg+xml,${encodeURIComponent(svg)}`);
+ if (maxWidth) {
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+ }
+ if (firstTitle) {
+ img.setAttribute("alt", firstTitle.textContent);
+ }
+ if (firstDesc) {
+ const caption = document.createElement("figcaption");
+ caption.className = "sr-only";
+ caption.textContent = firstDesc.textContent;
+ return [img, caption];
+ }
+ return [img];
+ }
+
+ async function makeMermaidError(text) {
+ let errorMessage = "";
+ try {
+ await mermaid.parse(text);
+ } catch (err) {
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+ results = await makeMermaidError(raw);
+ output = results[0];
+ } finally {
+ el.remove();
+ }
+ parent.classList.add("jp-RenderedMermaid");
+ parent.appendChild(output);
+ }
+
+ void Promise.all([...diagrams].map(renderOneMarmaid));
+ });
+</script>
+<style>
+ .jp-Mermaid:not(.jp-RenderedMermaid) {
+ display: none;
+ }
+
+ .jp-RenderedMermaid {
+ overflow: auto;
+ display: flex;
+ }
+
+ .jp-RenderedMermaid.jp-mod-warning {
+ width: auto;
+ padding: 0.5em;
+ margin-top: 0.5em;
+ border: var(--jp-border-width) solid var(--jp-warn-color2);
+ border-radius: var(--jp-border-radius);
+ color: var(--jp-ui-font-color1);
+ font-size: var(--jp-ui-font-size1);
+ white-space: pre-wrap;
+ word-wrap: break-word;
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+ overflow: auto;
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+ }
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+ .jp-RenderedMermaid-Details > pre {
+ margin-top: 1em;
+ }
+
+ .jp-RenderedMermaid-Summary {
+ color: var(--jp-warn-color2);
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+ display: inline-block;
+ white-space: normal;
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+</style>
+<!-- End of mermaid configuration --></head>
+<body class="jp-Notebook" data-jp-theme-light="true" data-jp-theme-name="JupyterLab Light">
+<main>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=b5955612-0118-4fd4-8694-5fe52ce1be5a">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<h1 id="GA-1.6:-An-ODE-to-Probably-Doing-Enough-(PDE)">GA 1.6: An ODE to Probably Doing Enough (PDE)<a class="anchor-link" href="#GA-1.6:-An-ODE-to-Probably-Doing-Enough-(PDE)">¶</a></h1><h1 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0">
+<style>
+ .markdown {width:100%; position: relative}
+ article { position: relative }
+ </style>
+<img alt="No description has been provided for this image" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="width:100px"/>
+<img alt="No description has been provided for this image" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" style="width:100px"/>
+</h1>
+<h2 style="height: 10px">
+</h2>
+<p><em><a href="http://mude.citg.tudelft.nl/">CEGM1000 MUDE</a>: Week 1.6. For: 11 October, 2024.</em></p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=e143a00c-1b09-435f-b581-80190df01a1c">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<h1 id="Overview">Overview<a class="anchor-link" href="#Overview">¶</a></h1><p>This assignment contains two parts: treating non-linear ODEs and treating the diffusion equation (PDE).</p>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=453992c1">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [1]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=0933143e">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<h2 id="Part-1:-Solving-Non-linear-ODEs">Part 1: Solving Non-linear ODEs<a class="anchor-link" href="#Part-1:-Solving-Non-linear-ODEs">¶</a></h2><p>In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=735043d3">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 1</b>
+<p>The equation to solve using Newton-Rhapson is</p>
+$$
+x^2=9
+$$</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=17ca3c02">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 1.1</b>
+<p>Formally Newton-Rhapson is implemented iterating the solution as follows:
+$$
+z_{j+1} = z_{j} - g(z_j)/g'(z_j)
+$$
+where $g(z_j) = 0$ and $z_j$ is a guess and $z_{j+1}$ is the improved guess.</p>
+<p>As we do not care about retaining the values of every guess, it can be written in code as:</p>
+$$
+x = x - g(x)/g'(x)
+$$<p><strong>Transform the equation $x^2=9$ to g(x) and write it below, together with g'(x).</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=769c78ae">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4f3fc628">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 1.2</b>
+<p>Implement your equations $g(x)$ and $g'(x)$ in the code below, as well as the Newton-Rhapson expression inside the loop. Test the code with the initial guess of $x=10$.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=25bcec4e">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+
+<span class="k">def</span> <span class="nf">g</span><span class="p">(</span><span class="n">x</span><span class="p">):</span>
+ <span class="k">return</span> <span class="n">YOUR_CODE_HERE</span>
+
+<span class="k">def</span> <span class="nf">g_der</span><span class="p">(</span><span class="n">x</span><span class="p">):</span>
+ <span class="k">return</span> <span class="n">YOUR_CODE_HERE</span>
+
+<span class="n">x</span> <span class="o">=</span> <span class="mf">.01</span>
+<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">100</span><span class="p">):</span>
+ <span class="n">x</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+ <span class="c1"># Next task will go here</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=c210989a">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 1.3</b>
+<p>The code is taking 100 iterations without stopping. <strong>Add a condition to the code above to stop the loop once the solution is good enough</strong>, i.e., when the solution is closer than $\epsilon = 1e-6$ to the exact solution. How many iterations does it take now to converge?</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=728a8de9">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=e4723ca1">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 1.4</b>
+<p>Change the intial guess to $x=0.01$, which is closer to the exact solution than the initial guess in the previous task. How many iterations does it take to converge? Explain the difference.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=99d7f4c8">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=fcb52681">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 2</b>
+<p>Solve the following ODE using Explicit and Implicit Euler.</p>
+$$
+\frac{dy}{dt} = \sin(y^3)+\sin(t)
+$$<p>with initial value $y(t=0) = 1$</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6ef1b02a">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8b10ee75">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 2.1</b>
+<p>Write in paper the Explicit and Implicit Euler schemes of the equation above.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=bcaed558">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=3a0f172f">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 2.2</b>
+<p>Just as before, Newton-Rhapson must be implemented following:
+$$
+z_{j+1} = z_{j} - g(z_j)/g'(z_j)
+$$
+where $g(z_j) = 0$ and $z_j$ is a guess and $z_{j+1}$ is the improved guess.</p>
+<p>Which term from your Implicit Euler scheme represents $z$? <strong>Transform your Implicit Euler scheme into g(<em>) and write it below, together with g'(</em>).</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=e40042c0">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=726c43cb">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 2.3</b>
+<p>Implement the Explicit Euler and Implicit Euler schemes by filling the lines of code below:</p>
+<ul>
+<li>a) Code the functions g() and g'()</li>
+<li>b) Implement Explicit Euler</li>
+<li>c) Implement Implicit Euler. Tip: use as initial guess the value of the previous time step.</li>
+<li>d) Use a dt = 0.25s</li>
+</ul>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=57c0662a">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">g</span><span class="p">(</span><span class="n">y_iplus1</span><span class="p">,</span><span class="n">y_i</span><span class="p">,</span> <span class="n">t_iplus1</span><span class="p">):</span>
+ <span class="k">return</span> <span class="n">YOUR_CODE_HERE</span>
+
+<span class="k">def</span> <span class="nf">g_der</span><span class="p">(</span><span class="n">y_iplus1</span><span class="p">):</span>
+ <span class="k">return</span> <span class="n">YOUR_CODE_HERE</span>
+
+
+<span class="c1"># Define parameters:</span>
+<span class="n">dt</span> <span class="o">=</span> <span class="mf">.3</span>
+<span class="n">t_end</span> <span class="o">=</span> <span class="mi">10</span>
+<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">t_end</span><span class="o">+</span><span class="n">dt</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span>
+
+<span class="n">y_EE</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">t</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span>
+<span class="n">y_IE</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="n">t</span><span class="o">.</span><span class="n">shape</span><span class="p">)</span>
+
+<span class="c1"># Define Initial Conditions</span>
+<span class="n">y_EE</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">y_IE</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+
+<span class="c1"># Perform time-integration</span>
+<span class="n">newtonFailed</span> <span class="o">=</span> <span class="mi">0</span>
+<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">t</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
+
+ <span class="c1"># Forward Euler:</span>
+ <span class="n">y_EE</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+
+ <span class="c1"># Backward Euler:</span>
+ <span class="n">y_IE</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span> <span class="c1"># Initial guess</span>
+ <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">200</span><span class="p">):</span>
+ <span class="n">y_IE</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+ <span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">g</span><span class="p">(</span><span class="n">y_IE</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">],</span><span class="n">y_IE</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="n">t</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]))</span> <span class="o"><</span> <span class="mf">1e-6</span><span class="p">:</span>
+ <span class="k">break</span>
+
+ <span class="k">if</span> <span class="n">j</span> <span class="o">>=</span> <span class="mi">199</span><span class="p">:</span>
+ <span class="n">newtonFailed</span> <span class="o">=</span> <span class="mi">1</span>
+
+
+<span class="c1"># Plotting the solution</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">t</span><span class="p">,</span> <span class="n">y_EE</span><span class="p">,</span> <span class="s1">'r'</span><span class="p">,</span> <span class="n">t</span><span class="p">,</span> <span class="n">y_IE</span><span class="p">,</span> <span class="s1">'g--'</span><span class="p">)</span>
+<span class="k">if</span> <span class="n">newtonFailed</span><span class="p">:</span>
+ <span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'Nonlinear ODE with dt = '</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">dt</span><span class="p">)</span> <span class="o">+</span> <span class="s1">' </span><span class="se">\n</span><span class="s1">Implicit Euler did not converge'</span><span class="p">)</span>
+<span class="k">else</span><span class="p">:</span>
+ <span class="n">plt</span><span class="o">.</span><span class="n">title</span><span class="p">(</span><span class="s1">'Nonlinear ODE with dt = '</span> <span class="o">+</span> <span class="nb">str</span><span class="p">(</span><span class="n">dt</span><span class="p">))</span>
+
+<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'t'</span><span class="p">)</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'y'</span><span class="p">)</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">gca</span><span class="p">()</span><span class="o">.</span><span class="n">legend</span><span class="p">((</span><span class="s1">'Explicit'</span><span class="p">,</span><span class="s1">'Implicit'</span><span class="p">))</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">grid</span><span class="p">()</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6b6d9964">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<h2 id="Part-2:-Diffusion-Equation-in-1D">Part 2: Diffusion Equation in 1D<a class="anchor-link" href="#Part-2:-Diffusion-Equation-in-1D">¶</a></h2><p>The 1-D diffusion equation reads $$\frac{\partial u}{\partial t}=v\frac{\partial^2 u}{\partial x^2}$$</p>
+<p>where $u$ is a continuous function in space and time, $v$ is a constant and often referred to as the <strong>diffusivity coefficient</strong>, giving rise to the name 'diffusion equation'. This is a Partial Differential Equation which independent variable, $u$, varies on space and time. This equation is virtually present across all fields of civil engineering and science. Here, we use it to represent the temperature on a rod (see the sketch below).</p>
+<p>Unlike the problem of Wednesday, here there is no exchange of heat with the ambient and the temperature evolves in time. The temperature initially is uniform along the rod, equal to $7°C$. Then it is heated at both ends. .</p>
+<p><img alt="Thermal Gradient" src="./figures/thermal_gradient.png"/></p>
+<p>The problem is schematized as a one-dimensional $0.3 m$ steel rod of with a diffusivity coefficient of $4e-6 m^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ time steps and use 15 points to represent the rod.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=c300a7fd">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3</b>
+<p>Solve the diffusion equation using Central Differences in space and Forward Differences in time. You will do this step by step (subtasks).</p>
+<p>For convenience we write here the diffusion equation with the temperature variable:</p>
+$$
+\frac{\partial T}{\partial t}=v\frac{\partial^2 T}{\partial x^2}
+$$</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=84b32366">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.1:</b>
+<p>How many constraints are needed in the 1D diffusion equation to have a well-posed problem?</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1b363563">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4ae351ba">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.2:</b>
+<p>Draw a grid of 6 points with subindexes. Although your actual grid will be much larger, 6 points are enough to visualize the procedure. The initial condition states that the temperature of the rod is $7^o$ C. Does that mean that one single point of your grid is initialized or all of them?</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1d59533c">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=71a1284a">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.3:</b>
+<p>Now, the differential equation needs to be expressed in algebraic form using central differences in space and forward differences in time. <strong>Start by just transforming the PDE into a first-order ODE by ONLY applying Central Differences to the spatial derivative term.</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=d0d45222">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6ab571e7">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.4:</b>
+<p>Before applying Forward Differences in time to the equation. It is needed to add a superscript to the notation that indicates the time step: $T^j_i$. So, $i$ indicates the spatial location and $j$ the time location. For example, $T^0_2$ indicates the temperature at the node $i=2$ and at the initial moment $j=0 (t=0)$. Furthermore, to express in a general form a node of over the next time step, you can express $T^{j+1}_i$.</p>
+<p><strong>Apply Forward Differences to the equation to obtain an algebraic expression.</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=c46ee55f">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=d6b4b1c9">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#facb8E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>NOTE</b>
+<p>If you have doubts of your solution, <b>stop</b> and ask a staff member! It is important to be in the right track!!</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=2ad1f7c0-14d4-4363-8ed9-681e1e271741">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.5:</b>
+<p>Finally, some coding! Let's start with defining the parameters and creating the grid. <strong>Fill in the missing parts of the code.</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=efd223ed-a7db-4680-8c81-649ea88b5275">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [4]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="n">T_left</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">T_right</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">T_initial</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">length</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">n_point</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">nu</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">dt</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">nt</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=a139660e-4185-41a4-99db-c54c68c54b76">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Let's initialise the system with the initial and boundary conditions. Say $t_0 =0$.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=0e235c76">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.6:</b>
+<p>Define the initial conditions and the boundary conditions. <strong>Fill in the missing parts of the code.</strong></p>
+<p>We define a 2-dimensional Numpy array <code>T</code> where the first index, <code>j</code>, represents time and the second index, <code>i</code>, represents space, for example: <code>T[j, i]</code>. Initialize <code>T</code> with a matrix of zeros.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=673b1ff5-06e2-44c8-b6a4-031a00b0f190">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [5]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="n">T</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">T</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">T</span><span class="p">[:,</span> <span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+<span class="n">b</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=e7c5bf2e">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.7:</b>
+<p>Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b. As in the workshop and textbook, the <code>A</code> matrix consists only of the unknowns in the problem.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=7e0147f1">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=787c37f6">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [6]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">m</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
+ <span class="n">A</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+ <span class="n">b</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+ <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">YOUR_CODE_HERE</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=794f6329">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.8:</b>
+<p>Use this code cell if you would like to verify your numerical implementation. For example, visualize the temperature profile at different time steps.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=56f6fdea">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [7]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># plt.plot(x, T[YOUR_CODE_HERE,:])</span>
+<span class="c1"># plt.plot(x, T[YOUR_CODE_HERE,:])</span>
+<span class="c1"># plt.plot(x, T[YOUR_CODE_HERE,:])</span>
+<span class="c1"># plt.xlabel('x')</span>
+<span class="c1"># plt.ylabel('T')</span>
+<span class="c1"># plt.show()</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=17e7be50-79a7-4699-b0d8-908a58ce36d7">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.9:</b>
+<p>Describe the time evolution of the temperature along the rod. Does the temperature reach a steady-state? What does that mean for heat flow?</p>
+<p>Write your answer in the following markdown cell.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8db518cd">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=9fcbb39f">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 4</b>
+<p>Alter the right boundary condition, with the following equation:</p>
+$$
+u^t_{x=L} = 25 + 10 \sin \left(\frac{2\pi t}{period}\right)
+$$<p>where L refers to the last point of the rod. Put your whole code together in a single cell. Copy the code cells from task 3.5 until task 3.8. Modify the right boundary condition as stated above, the period is 6000 seconds.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=05534522">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="n">YOUR_CODE_HERE</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=852b05c5">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5</b>
+<p>Solve the diffusion equation using Central Differences in space but <strong>now with Backward Differences in time</strong>. You will do this step by step (subtasks). Just as before.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=81fe7677">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.1:</b>
+<p>Draw the stencils (two in total) of this equation when solving it with Central Differences in space and <strong>Forward Differences in time</strong> and when solving it with Central Differences in space and <strong>Backward Differences in time</strong>.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6df8a151">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=ca16ee10">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.2:</b>
+<p>Now, the differential equation needs to be expressed in algebraic form using central differences in space and forward differences in time. <strong>Start by just transforming the PDE into a first-order ODE by ONLY applying Central Differences to the spatial derivative term.</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4a25a0d0">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=139d33af">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.3:</b>
+<p><strong>Apply Backward Differences to the equation to obtain an algebraic expression.</strong></p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=73b82177">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=25b64dff">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.4:</b>
+<p>Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8c1db830">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=36284ee9">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.5</b>
+<p>Copy the code of task 4 and make sure to use the Dirichlet conditions of task 3: constant Dirichlet conditions. Implement the Implicit scheme by modifying the code of how the matrix A and vector b are built.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=4edddcaf">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="n">YOUR_CODE_HERE</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=3d1dfe3d">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p><strong>End of notebook.</strong></p>
+<h2 style="height: 60px">
+</h2>
+<h3 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; bottom: 60px; right: 50px; margin: 0; border: 0">
+<style>
+ .markdown {width:100%; position: relative}
+ article { position: relative }
+ </style>
+<a href="http://creativecommons.org/licenses/by-nc-sa/4.0/" rel="license">
+<img alt="Creative Commons License" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png" style="border-width:; width:88px; height:auto; padding-top:10px"/>
+</a>
+<a href="https://www.tudelft.nl/en/ceg" rel="TU Delft">
+<img alt="TU Delft" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="border-width:0; width:100px; height:auto; padding-bottom:0px"/>
+</a>
+<a href="http://mude.citg.tudelft.nl/" rel="MUDE">
+<img alt="MUDE" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/mude-logo/MUDE_Logo-small.png" style="border-width:0; width:100px; height:auto; padding-bottom:0px"/>
+</a>
+</h3>
+<span style="font-size: 75%">
+© Copyright 2023 <a href="https://studiegids.tudelft.nl/a101_displayCourse.do?course_id=65595" rel="MUDE Team">MUDE Teaching Team</a> TU Delft. This work is licensed under a <a href="http://creativecommons.org/licenses/by-nc-sa/4.0/" rel="license">Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License</a>.
+
+</span></div>
+</div>
+</div>
+</div>
+</main>
+</body>
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\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\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\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"text\/plain": "<Figure size 640x480 with 1 Axes>"}, "metadata": {}, "output_type": "display_data"}]}}, "29a880f5e6de435795b50f46a66a942e": {"model_module": "@jupyter-widgets\/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {}}, "29adfb5bcde241fc8e8984961ab42ea5": {"model_module": "@jupyter-widgets\/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {}}, "2c2ed815b0f545a9948793c1bc4b5fdf": {"model_module": "@jupyter-widgets\/controls", "model_module_version": "2.0.0", "model_name": "VBoxModel", "state": {"_dom_classes": ["widget-interact"], "children": ["IPY_MODEL_68fb9a92340e434d85fbcc8de67c1970", "IPY_MODEL_47b1a57cdbeb4a11abc8e9166acedb90"], "layout": "IPY_MODEL_6373a42bb1db4fb4aa1cf6ffaac1075e"}}, "2df005db5f0d49dda9dd0c4e6e958c48": {"model_module": "@jupyter-widgets\/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": {"description_width": ""}}, "2f094b8f56ff4ac3b16dacdf8948dda6": {"model_module": "@jupyter-widgets\/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": {"layout": "IPY_MODEL_66636bdd455c4d54a22c62b30195f3fb", "outputs": [{"data": {"image\/png": 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\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\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"text\/plain": "<Figure size 640x480 with 1 Axes>"}, "metadata": {}, "output_type": "display_data"}]}}, "3012cdca2fe2499d8a50dee485f62217": {"model_module": "@jupyter-widgets\/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {}}, "32b1f33a1556467aaba78f0af3df1e4d": {"model_module": "@jupyter-widgets\/controls", "model_module_version": "2.0.0", "model_name": "SliderStyleModel", "state": {"description_width": ""}}, "3500924f544141ef8070a2456337d727": {"model_module": "@jupyter-widgets\/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": {"layout": "IPY_MODEL_e4081c6091bb48838c726ff8e86ca60b", "outputs": [{"data": {"image\/png": 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nh\/7fooKPtcOzXVVi3y007Zu\/0bN24QjUZzWrez7Q12Gm4X+RXqKrRqaPkWENb\/z\/6MCqXmbCJ6a8AmnjcBCs3mJJNJenp6iMfjOS3Mm92avLq6ikyvcLpTx+soTioWAg2SeCSK0+9b97tyczxvZuTv9rMX2Xx7A2uGyIomt\/v9b9U9uFwuWlpaMh2W2RYQkUiEcDjMwsLCOuVt6x6BgkRkexG9+WATzw5HIUvqhYUFenp6aGxs5K677sqZxs8u5N4KTNNkcHCQ9Mp1HjqSQFMrO5+iwMrQEE133rHud2\/mVFu1yF9ks1Wlp6am0HWdYDCIz+fb1Ah1I9iua2dbQMTjcRobG3E4HDmfUTZZ19TUFCQi2531zQebeHYwrC+VFeVIKenv72d8fJzjx4\/T1ta27jUW8ZimueHUTiKRoKf7EvvqFtldJrVWCOnlaaA48Vh1KUvSZbtTbVuxMOXbG1iq0nNzcxiGwXPPPZcj5unz+bZswdwJURfcJOtqLSDAdmd9s8Emnh0IK7Vmda0pikIsFqOrqwspJefOncuIO+bD+lJt1DV0fn6eocFu7jzhIvCGdH61cKrhovdmmiZXrlxhZmYms+BZBftYLIbL5XrLLwzZqtI1NTV0dXVx5513rtNQy2\/dvl2fy04gHmtzZWEjFhDFvIhsd9adB5t4dhgKpdamp6fp7e2lra2NI0eOlJxz2GiqzTRNBgYGMNLjnLvPgaLoSLUFES3sn1MKtS0G0jARau59JhIJDMNgdXWVBx54AFVVMzL+8\/PzdHV14XQ6qa+vf9O3KFcKa9G3Wrc7OjoyGmpLS0vMzs7mSNdYn81mfi47gXisDVYxbJYFhO3OujNgE88OQr4ltWEYXLt2jbm5Oe64445Md1ApWN1u1UQ88Xicnp7L7G9P0bJLA94gLbcTotW\/D0+NyuL4BDWd7ZmfzczM0NPTA8ADDzyQkd63RCuHh4e59957SaVSBVuU6+vrc9pv30rIX+gsDbXa2lr27duXI11jfS5erzcnIqqkdbsYdgLxVDrEamGjFhCliMgaGt61a5dNRLcZb71v8ZsQ+bM5iqKwurqaiQDOnz9flcFZNcQzNzfH8I0e7rnTiduVGyUJESOtBXHoK5W\/mTcQnRqlpnNNir+\/v5\/JyUkOHz5MX18fiqKsuz9r95nfolyo\/dba9VudYZuB7aovVXLdbOmaAwcOrBvUvHLlCn6\/P6d1uxqCLhdtbAXyU23VolILiGwiskRhLSKKRqN0d3fz4IMPZs5p24TfHtjEs83It6QWQjA2Nsb169fZt28fBw4cqPpBr8S8zTRNrl+\/DuYkZ+\/Tig6ESm8NhKsnHpFaJB6Pc\/ny5UxdCuDatWuFjy\/wHh0OR84cSCKRyKhLW11PtbW1GSLy+\/1vykWh2nsuNKhZiqCzu8EKYadEPJtJfsUsIKyGjnwJpNra2kxDjsPhKGgTbruzbh5s4tkmWA\/15OQk8\/PznDhxgnQ6zZUrVwiHw9xzzz0ZccZqUSiiyEYsFuNKz2UO7tPZ1aiSSa0VgOZIkjAU3Gp1zQq+mjgvvvgiLS0tHD16FFVVicfXOuSsL3U+ypGl2+2mtbU10\/WUneMfHh7OURe43QX5zcJmRFpOp5Pm5maam5uBtdTp8vIyoVAop3U7uwifvcjvBOK53VFXofSlRUSWBJKmaZimyfT0dMYCAshJzVkp4kQiYRPRLcAmnm1AdgNBOp3OLKDd3d3U1NRw7ty5W7JsLpVqm52dZWS4h3tPu3A5y5OJEJIIftwU7lQrhtrdKocCnbQfOpBzX6XuuZpFuJCo5+rqKqFQKFOQz9ZSq6+v37E22Ju9UFmt25b9Q3Y32NjY2LoifLX1lduBrb6HQhYQExMTjIyMVGUBkW8TbqXmsnXmtvuz3YmwiWeLkW9JraoqsViM1157jcOHD9Pe3n7LD2qhVJtpmvT19aGKac7d50AUSa0Vgr\/OiQwrCCqPehRV4Imu5vys1LzOZrxnK7Vi7WitOsjY2FimUcFKP+2URoXbXVsq1A0WiURyIkXDMBgcHKSpqWnbIsXtrjOpqorP58PtdnPvvfdu2ALCdmetDNv\/zfspQTHZm6GhIdLpNGfOnKGmpmZTrpUf8cRiMXp6LnF4v0FTQ+nUWiG4nALTtxs1OlnV6\/TlaeB0zn1B8cV2MxdhVVVzGhUswcpQKJSpg1hT8Vbac7uwlQuREIJAIEAgEMgU4Z955hm8Xi+zs7MMDAzgcDhyFthqGls2Auvz3+4FObvOVEiLzyKiSi0gbHfW4rCJZwtQaDZnfn6enp4eampqME1z00jHOr+1kM7MzDA6cqXi1FoxCLdSdWu101FdxHM7d\/\/5gpXZU\/G6rnP58uVtaVTYbpkgKzreu3cvHo+noOuo2+1et9PfTFifwXYvwqUaHBwOx4YsIGx31sKwiec2I382R0pJX18fk5OTHD9+HLfbnZlv2SxYM0BXr17F6Vrg7Hk\/Qhcgq5e\/sSBEAtPdiJJYqPg1tbtlziDp7Uy1VYtsCZtQKMShQ4cy3WH5jQr19fWbZvpWCNu507f+FtY9FHIdLWT2tpkpS2uTtN2LrpX+rgTFOguXl5dLWkDY7qxrsInnNqHQbE40GqWrqwshBOfOncPr9bK8vLzpaR7TNBka6ufkKReNjU5AIjUPpDdOPAB4\/VAF8bj9Cgtj4wT3deT8vFg+fzu12rxeLy0tLZn0k9XxNDMzk9OoYC24m7Xr3+6IJ5948pFv9pbtsTM4OEg8Hs+xf8hWlK72HrZ7kb0VfcP8zsJSFhBWd102sWQTUTweZ3BwkCNHjuB0OtE0jaWlpZxOuzc7bOK5DcifzQGYmpqit7eXvXv3cvjw4cwDV671uVpMTU2haXHuvc9PdmpeKDFMpQ7FXNr4yZUoUvMh9MpzbrGp0QzxbGeqrRyyr12o9daqD1m7\/lsZ2MzHTop4yiE\/ZZltbXDt2jVSqVRO63ZNTU1ZQsmeYdtObOYsUSkLiL6+PlKpVKbGmG0BYWUr5ubmOHr0KOl0mnQ6zQc\/+EE+9rGP8Uu\/9Eubcn\/bDZt4NhGFLKmtlNfi4iKnT5\/OhOYWNot41uR1enF7Qpw776PQ90doKWRKQ6Bv6BoCCEs3wSqKPSK9ePP\/76BUWzUo1KhgLSLXr1\/PeO1kD2xu9+69UlRLPPnItjYopChtmuY6\/bT8a70ViScf+Z9TNhHlW0BYXYXZmxmrhvRWgU08m4T8BgIhBOFwmK6uLjweD+fOnSvYHbQZxBOJRLhy5TLHj6vUNxRPAQmhY2pBhL5Y9Jhy8AYU5LKKoLJ27GxH0uyFJX+R2e6IpxoUGthcWloiFAqtW2zr6+tLWhxs9\/DmrRJPNgopSucP+Vr6adY\/r9ebSb1uN\/EYhrElLrFCiHU2GdmEPT4+jpSSS5cuMTY2ht\/vJx6PF1WkrwS\/93u\/x2\/91m\/x8Y9\/nMceewxY+9t\/9rOf5U\/+5E9YWlrigQce4I\/+6I84ceJEyXN985vf5NOf\/jRDQ0McOHCAz3\/+87z\/\/e+v6n5s4tkE5M\/mAIyMjDA4OMj+\/fvZv39\/0S+V1XCw0d3W5OQkU1N9PPCAH0clA6FKBCl8CLkB9U9AVZ2YogFFhiqKnGpbFCIrq7iDgS1tp95K5C8i0Wg0I+2T3ahgRUQ7KU+\/mcSTj2JDvpYauSVbEwgEMovvdn42tzPiKYV8wl5aWuLKlSs0NTXxF3\/xF3z9618nkUjw2c9+lp6eHt72trdx9913V0ySFy9e5E\/+5E+4445cj6wvfelL\/MEf\/AGPP\/44hw8f5nd\/93d55JFH6O\/vJxAIFDzXhQsX+PCHP8znPvc53v\/+9\/Otb32LD33oQzz\/\/PM88MADFb\/nN0c+YIfCaiBIpVIZ0kmn07z++uuMjo5y7733ltVayzZuqwa6rtPd3UUyOciZs96KSAdACEBzVDXJI6UkFddgLo64ehl1fhh+cBFzDiSlFwqhCFaHBrKuXziy2e7d7mbBWmzb29u58847eeihhzh16hRer5fp6WleeuklXnzxRfr6+pidnSWdTm\/r\/d5O4smHNeTb2dnJXXfdxUMPPcSJEycyjRrWZ3Pt2jVmZmYy3V5bhe0inkL34XA42LNnD7\/\/+7\/PyMgIgUCAhx56iBdeeIFHHnmEX\/iFX6joXJFIhI9+9KP81\/\/6XzMqDbD2d3\/sscf47d\/+bT7wgQ9w8uRJnnjiCWKxGH\/xF39R9HyPPfYYjzzyCJ\/61Kc4evQon\/rUp3jHO96RiaIqhR3xbBCFZnNCoRDd3d3U1tZy\/vz5iqTqN0I8q6urXL16meMnNOrrq++uEkocU6lDlGk0SCYlyaUkrtAkHjPLFE6PIjv2o7z0PBKBefwU7G9FKBEKLV96eObmtd8gnnA4TCwWo76+PjPR\/VZ0IM1uVID17cmRSARFURgYGMhYP2xFusfCVhJPPizZGuu788ADD2RmiLLVJrKbOG7F\/qEcDMO47cOyld5H9jOgKArLy8v8yq\/8CgcPHsw0u1SCX\/u1X+N\/+9\/+N975znfyu7\/7u5mfDw8PMzMzw7ve9a7Mz1wuFz\/zMz\/Diy++yK\/8yq8UPN+FCxf45Cc\/mfOzd7\/73TbxbAUKzeYMDAwwOjrK0aNH2bNnT8Vf5GqIR0rJ5OQkMzP9PHDGj8NxCwOhWhKZciDI3XFLIBVXiU9OU5tYwFMsNmpY+4IKJKK3G3q7kS17ME8dR3iSOTUglzOS89Lx8XHGxsZwOByZLqhUKkU0GqWhoeEtE\/0UQn578uTkJGNjY+i6Tn9\/P8lkMtMVVl9fv07Qc7Nh1Zi28zO3VAsKqQVYdY\/s2ZhsItpMkt4pEU8+8VgGilZzgdXsUg7f+MY3eP3117l48eK6383MrG0GrTqlhebmZkZHR4uec2ZmpuBrrPNVCpt4qkD2bI5VEE0kEnR1daHrOmfOnCmaGy2GSolH13WuXr2C17vCA2e8CHFrDQlCGJhaTabRQEoNGRPoE4N40pEyCTRQ0isY+w+j3Lh+85wzE4iZCaTXT\/rkaRIiTaDZQe1uiakbGNLMqP\/ee++9uN3uTIfY0NAQw8PDjI6OrquHvNWJyOl0cuzYMWCtUcGqD2U3KlifR6lGhY1gu5sboPiCn2+LkT0bk9+SXF9ff8vdhDuVeKLRtXpsNV1t4+PjfPzjH+fpp58uGcXl\/+0reR428pp82MRTIUzTJB6P093dzZ133omiKMzOznLlyhVaWlo4duzYhndfqqqWJJ5wOMzVq5c5dYeDYNDDWmnu1msDQolgGgHEUggxew1VmlU9EGJ3Pdwo8PNYBMcrz6OaMK22oB7cTSLSz8DSAkII7rjjDmpqakin05mi6vT0dEa2JV9h2lp06+vrb2uqZTuQn170eDy0tbVlusIsQU\/LzCzbQ2YzGhV2AvFUKhCaPRuT3ZIcCoWYnJzEMIyc1u1AIFDVe9uqrrZq78NKx1bzt37ttdeYm5vjnnvuyTnvs88+yx\/+4R\/S398PrEUwu3fvzhwzNze3LqLJRktLy7roptxrCsEmnjLIns3RdZ25uTl0XWdwcJDp6WlOnjyZGRLbKIq1VEspGR8fZ35hkLPnfGiaCRhI04Ukza2sF1JqsJxCWRlHLE4hqhQOBVDSIYzWdpSpscK\/V2C3nIGBGV5eDtH2\/vcxPDxcctjScpHs7OzMGdwcGRnh6tWrmVRLfX39hqbkdyKKLY6FBD2tGojlIWPpqFnkXC0x7wTi2YhAaKGW5OzWbStdlE1E5aLFnRrxxGKxqiPdd7zjHeukuP7ZP\/tnHD16lN\/8zd9k\/\/79tLS08IMf\/IC77roLWJtPe+aZZ\/jiF79Y9Lxnz57lBz\/4QU6d5+mnn84YPVYKm3hKIF\/2xlowX3nlFTRNy8je3CoKEY+u61y50kNdfYT77\/fkpNaEEsM0Awixmn+qimAm3SgzQwh9rWEgpARpMJc3dC7R2QZFiCcbnY4V6g8cKJo\/LtRckD+4aaVaQqEQ165dI51OEwwGM9pityLsuZOtry1k68dBbqNCtgV2to5aOWLeaarQG0V+67aUsqj1tUXUbrc7573vVOKJRCJVE08gEODkyZM5P\/P5fDQ0NGR+\/olPfIIvfOELHDp0iEOHDvGFL3wBr9fLRz7ykcxrfvEXf5G2tjZ+7\/d+D4CPf\/zjPPzww3zxi1\/kfe97H0899RR\/\/\/d\/z\/PPP1\/Ve7SJpwiyZ3Os4uv09DQADQ0NHD16dNMe0nziWVlZ4dq1Lk7d4SQYLPwnEiKClG6ESBT8fSFI0wmLK6jhoZyf19UoyHgNIlmd2RuA0EPIhl2IxbmSxzV6VogsLN1SO3V+qiUWi2XqISMjIznzMtbC8mbARhf+Qjpq1udh1UDKNSrslIhnsxd8IUQmeu7o6Mjo74VCoXX6e9mGeDuFeLIj12g0ekvDo8XwG7\/xG8TjcX71V381M0D69NNP59Spx8bGcj6Tc+fO8Y1vfIPf+Z3f4dOf\/jQHDhzgySefrGqGB2ziWYdCvjlrhf2rLC2tLZwdHR2b7g9vmiZSSsbGxlgMDXHmrBdNK74bFkK+ISwoEKL0rllKAXENMTuAMNcPfQoMzEA96kaIB4k8dADKEI+qSGZ+9BxiV03Rxa5aB1LL4MwaTrQWluw0lEVCt7sVd6PYzEjL6XTmEHOhafjshdbn8+0I4tmKe8hva882CrSM3oQQmVrRRtKWm4X8tm6LeG71M\/rJT36S899CCD7zmc\/wmc98puLXADz66KM8+uijt3QvNvFkodBszsrKCl1dXfh8Ps6dO8dzzz236WrSiqKQSqW4fPkSDY1R7rvPU5ZMAIRIlk25ScOFmJtFxErL5Cj6EkZwD+rKRNX3L+QyMhBErK6UvsbYFUTz+dsiElpoXia7FddSUbbSUMFgcEfsbuH2qQbky9dEIhFCoVBOo4LP58MwDBKJxLZFiNsRaeSncdPpNC+++CKKouSkLbPriVvlWFuoq+12RDzbCZt43oBpmqRSqZwvwfDwMENDQxw8eJDOzs6Mg6BFTJt57eHhPu6620tNTXV\/EkVZxTR9KEquBI6hg4gJlPlrFTcOCDWFVJwIs7qJcSENjMNHUF97peRxezwLjOrGligXaJqW45eS3QE1NTWV6YCqr6\/PSNJvB7bqutmNClbqaWVlhampKUzT5MKFC5kI0YqItmrHv92210DmvXZ2duL3+3Nat635Kqt12xKCvV2NLcVqPG8l\/NQTj5VasxSlreiju7ubWCzGfffdl9lFw02Ttc269ujoKF5fkrvv9uFwbGwREiKJlBpCrKXREhEFZW4Ml0yWeWXeecwkZv0e1IUCPdJlIEUYQ3Oi6sVJy+MyYHAceecdt5xqqxb56sCWntri4iKpVIqenh4aGhoyqTmXy3Xb7iUf25Hqsuphln7avffem+kgtHb8W9VBuBMaHKz7sN5jvq1BdtrSUpPOtn\/YzEHfQhHPW0mZGn7KiadQam1xcZHu7m4aGhq466671oXX5WZuKsXaYtdNc3Oc++\/33lJrtBA60vQhEbAUw7NUvsus6Ln0RUxfE0p0vqrXORQT4+QdcPnVksfVzk9sux9PdgdUe3s7L7zwAnv37iWdTjM5Ocm1a9cyUi1Wfeh2pVm2WxjVqq\/kNypk7\/izfXasiGgzF9qdUNS3aqzF7iO\/dTsWi2U+n7GxMaSUmzboW6id2iaetwgKyd5cv36dsbExjh07RltbW8EHZzMinrUvcxd33eUiUGVqrRikYSIWwiixqVs6jwCk24WMKgiqI1jFoyMVFWEW\/3w6PCGSBfxXtnPHa6WhrDblbKkWyz3S8tu5HTI2222LUOj6+R2E2dYP1kKb3Zrs9Xo3\/D52CvFAZS6o2Y0te\/bsyRn0DYVC3LhxI6f1vVoFDjvV9hZEIUvqeDxOV1cXpmly9uzZkruLW4l4pJQMDw+zujrC+Qe9COEHNjaLc\/OcAhlVUJf6kShIRw0iXX13WjaEsYpZ34EaGs69FgJUNwZOIqtxhCHxOZwoyTgiEobwOMbuo6hT1xCy8GfUFNTpvXZjnSHe2nvZGbYI+VIthWRssoc2b2XR3W5UUl8p1KhgzcgsLCzkKCpYn0k1jQo7ocZjfac3kk4sNOhrWadbChxOpzOHiEp9PvkW3NFoNEdZ+q2AnyriybekVhSF6elprl69SmtrK0eOHCn74G3UuG0ttdbF7t1JDh\/xABIpI0jTjVAqn8XJhjQdsLiMmljrWBOYpKSJaoJ6i99jIVKYahPEE8QWF3ClEmixMMI00IDaIq\/TEjMkRDsuRhFFiCTVfRkezu3738lGcPkyNvmeMg6HI0fWx5L5rwTb3c68kevnz8gYhpFpZZ+cnKSvrw+Px5Oz0JZqVMhfaLcD2QaOt4pC1umW4oT1+WQ3ctTW1uY8M4VSbXv37r3l+9pJ+KkgnmzZGyusN02TK1euMDs7y6lTpyrWGtpIV1soFKK\/v5u77nbj9998oISQSCSGAdV+72Tag5gbXteB5lSSxLQ6vGUsD4qeV3EhU06UsetIdwPKwDWqyS6LxCrCXUsy3o6LsYIddfXx9TWoN0vEUGjRXVlZyaSgent7q1YP2E5sBvFlKwJAbit7dqNCdit79mdi+c9sJ6x14XY8h6qqZtK0sF5xwmoesJ6XbENJWIt4NkMhZSfhLU88hRoIIpEIly9fxul0cu7cuarE96qJeKSU3Lhxg2h0lHPnvahqoaJ6knhcxe+vjMykFMiYihrqL3qMV4uwEnERdFbe1SaFA2l4USYGUIw1AVIRn8fsOIoy2lfxeQBcrhDLzy\/CfftwGaPrPHr21MVYmpzD2VSbew87NOIphfxFxVLbDoVCGfWAbBvsfOHKN2PEUw75rezFpI6sz2QndLVtZdRVSHHCIurBwUEArly5wtLSEslkckNdbV\/72tf42te+xsjICAAnTpzg\/\/6\/\/2\/e+973AsU3el\/60pf4t\/\/23xb83eOPP84\/+2f\/bN3P4\/F41TNgb2niKWRJPT4+Tn9\/P52dnRw4cKDq3HKlEU8ymaSnp4u2PSmOHF1LrRWD328QjSr4fKUJTUoHhMKosfIdZ16PROJGGKXTeBIVSQBl8gZKOl7ggBXiqhtPmfNkQ6SieB8+TOzpKyTuaKfWn6tqoCgw\/8zztD36v998zQ5OtVUDp9NJc3Mzzc3NmaJ8KBTKRERAjqzPdmMriK+Q1FF2R5hhGHi9XhwOx7bVzPKjjK1E9jOTSqV4\/vnnaW1tzShJr6ysMD09TSgU4u1vfzv33Xdf2Qhxz549\/If\/8B84ePAgAE888QTve9\/7uHTpEidOnMjIf1n43ve+xy\/\/8i\/zwQ9+sOR5a2pqMsrWFjYyePyWJB4pJclkkmQyicPhyFhSX716leXlZe6+++6KjJQKoZKutsXFRQYGerjrbjc+X2W7KJfLzJnFyYfUPYi5EYRRWRTjUCWmFoBYoqArqEQgRS3KzBhKonj7tWKmSTc345kqbg5VCE5tnpjPDd1j3Aj42H8q9zNTJq5w48bxTHrhrehAml2U37NnT2ZmJtv2QVVVNE1jbm5uW2RatjraKNQR9vrrr6NpWqZmpmlaTs1sK2aqdkJnHdysNbW2tvJv\/s2\/4ZOf\/CQPPfQQZ8+epbu7my9\/+cscP36cZ555puR5\/uE\/\/Ic5\/\/35z3+er33ta7z00kucOHFinaL+U089xdve9jb2799f8rxCiFtW44e3IPFYqbXR0VEWFha45557WF5epquri0AgwPnz56sq\/uajVFeblPINeZYxzp33oiiVL6Saxht2B3rOTI+UAhnXUBb7CxJIKSj6MqanBRG\/6Z8hAanUocxPo0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\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"text\/plain": "<Figure size 640x480 with 1 Axes>"}, "metadata": {}, "output_type": "display_data"}]}}, "85007844bdc54cdf992dc43ba5b83a41": {"model_module": "@jupyter-widgets\/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {}}, "851af3a043f1495ea899768d977eda65": {"model_module": "@jupyter-widgets\/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {}}, "86d909bc42c141caa23af6d60020a0db": {"model_module": "@jupyter-widgets\/controls", "model_module_version": "2.0.0", "model_name": "IntSliderModel", "state": {"behavior": "drag-tap", "layout": "IPY_MODEL_246b67cae6d04400856fb146b0a764d3", "max": 199, "style": "IPY_MODEL_2df005db5f0d49dda9dd0c4e6e958c48"}}, "87d61c25a76c41e1a826e0e1bcdaf617": {"model_module": "@jupyter-widgets\/base", "model_module_version": "2.0.0", "model_name": "LayoutModel", "state": {}}, "88035a6b469f4a4891e35659867ff0c6": {"model_module": "@jupyter-widgets\/controls", "model_module_version": "2.0.0", 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AC5XCSRiMiqlu0+iY2ZRXBWKbBoTFd4uTqLjmS3WICoXmbd3w49WzZFmd6IScv2odJgFB2JiMghZZ7R4p3fjwAAZg1tj6iQJmID2TkWIKoXZ5USi8d0g5+XGllnyzBrVQYcfFoZEVGjK9cbMWV5GgwmM+5tH4Cn72opOpLdYwGievP3dsXiMbWLJK5NP4Pvdp0UHYmIyGFIkoQ5qzOQe74CwRpXvP9oFOf9NAAWIGoQvcJ9MGto7ZVgb\/9+GPtOXhCciIjIMfySegpr089ApVTgkye6oom7i+hIDoEFiBrMs33D8UBUEIxmCS\/8sB\/nyrhIIhFRfWSfLcM\/fz0EAHgpLhI9WvoITuQ4WICowSgUCrz7cBTa+HvirE6PqT\/u5yKJRER3qMpgwuTl+1FdY0a\/iGaYdHdr0ZEcCgsQNShPtRM+f6o7PFxU2J1zAe\/9kSU6EhGRXXrzt0wcO1sOPy81Fj7WBUol5\/00JBYganBt\/D3x3qPRAIB\/b83BhoxCwYmIiOzL2vTTSEgpgEIBfDy6C\/y81KIjORwWILKK+zsHYUK\/2kUSX1lxECfOlQtORERkH3LPV2D2qgwAwNRBEYht00xwIsfEAkRWM3NIO\/QO90H5pUUSK\/RcJJGI6Eb0RhOm\/rgfFQYTeoX74O+D2oiO5LBYgMhqnFRKfDqmK\/y91MguLsfMlQe5SCIR0Q3Erz+KQ6d1aOrujE8e7wonFb+mrYUjS1bl7+WKz57sBielAr8fLMTSHXmiIxER2aQ\/Movwzc48AMDCx7ogUOMqNpCDYwEiq+vR0gdzHmgPAJi3\/ghS8rhIIhHRX526WIlXfjkAAJh4dysMbOcvOJHjYwGiRjE+tiUeig6G0Sxh8g\/7UVxWLToSEZFNqDGZMfXHNOiqjegS2gQv39dWdCRZYAGiRqFQKBA\/qjMiAzxRXKbHlOVpqOEiiURE+GDTMaTll8LL1QmfPtEVzpz30yg4ytRoPC4tkuipdsLe3At4d8NR0ZGIiIRKyirG58knAADvPRKFUB93wYnkgwWIGlUrP0+8f2mRxK+252LdQS6SSETylFVUhr\/\/mAYA+FtMGIZ0ChKcSF5YgKjRDekUiIn9WwEAZqw4gOPFZYITERE1rlMXK\/G3\/+yBrtqI7mFNMfv+9qIjyQ4LEAnxSlxbxLTyRYXBhInL9qGciyQSkUyUlOvxt6\/34qxOj8gAT\/xnXE+4OqtEx5IdFiAS4vIiiYHerjhxrgIzV3CRRCJyfOV6I57+JgU55yvQvIkbvnumNzTuzqJjyRILEAnTzFONxU92g7NKgXUZhfh6e67oSEREVqM3mjBp2T4cPKWFj4cLvnu2Fxc7FIgFiITqHtYUrz\/YAQAQv+Eoko+dE5yIiKjhmcwSXvr5ALYfPw93FxWWju+J1n6eomPJGgsQCTe2TxhGdWsOk1nCxGWpXCmaiByKJEl487dM\/H6wEM4qBf49tjuiQ5uIjiV7LEAknEKhwPxRURjQ1g\/VNWY8szQFh05rRcciImoQn24+ju92nYRCUXuPr34RfqIjEViAyEa4OCnx+VPd0TvcB2V6I\/72n728PJ6I7N73u09iYeIxAMDcYR0xLDpYcCK6jAWIbIarswpfjeuB6BANLlQY8ORXe1BwoVJ0LCKiO7I+oxCvrz0EAPj7oDYYF9tSbCCqgwWIbIqXqzO+eboXIgM8cVanx5Nf7cFZHW+cSkT2Zefx85iWkA5JAsb0boF\/DI4UHYmuwAJENqephwu+f7Y3wnzdkX+hEk99tQcXKgyiYxER3ZJDp7X4v2X7YDCZMbRTIN4e3gkKhUJ0LLoCCxDZJH9vV3z\/bG8Eersiu7gc4\/6zF7rqGtGxiIhuKO98BcYv3YtyvRExrXzx4eguUClZfmwRCxDZrFAfd3z\/XG\/4ergg47QWz32TiiqDSXQsIqJrKtZVY+x\/9uB8uQEdg73xxd+68xYXNowFiGxaG39PfPtML3i5OmFv3gVM+n4fDEaz6FhERHVoq2rwt\/\/sRcGFKoT5uuObp3vBy5W3uLBlLEBk8zo11+Cbp3vCzVmF5GPn8GJCGowmliAisg3VNSZM+C4VR4vK4OelxrJnesPPSy06Ft0ECxDZhe5hPvjib93holJiw6EivLoqA2Yzb55KRGIZTWZM\/TENe3MvwEvthG+f7oUWvu6iY9EtEFqA4uPj0bNnT3h5ecHf3x8jRoxAVlZWnX0kScLcuXMRHBwMNzc3DBgwAJmZmYISk0j9Ivzw6ZiuUCkVWLHvFN76\/TDvIE9EwkiShNmrM5B4+CxcnJT4alwPdAj2Fh2LbpHQApScnIzJkydj9+7dSExMhNFoRFxcHCoqKiz7LFiwAAsXLsSiRYuQkpKCwMBADB48GGVlXCVYju7rGIj3H40CAHyzM8+ywioRUWN7748s\/Jx6CkoF8OkTXdG7la\/oSHQbFJIN\/RX63Llz8Pf3R3JyMu6++25IkoTg4GBMmzYNM2fOBADo9XoEBATg3XffxcSJE2\/6njqdDhqNBlqtFt7ebOaOYtmuPLy+tvZI4Kyh7TCxf2vBiYhITr7enou3fz8MAJg\/qjMe79VCcCLHY+3vb6c7edFbb711w+f\/+c9\/3lEYrbb2Bpg+Pj4AgNzcXBQVFSEuLs6yj1qtRv\/+\/bFz585rFiC9Xg+9Xm\/5WafT3VEWsm1jY1qiXG\/CuxuPIn7DUXi6OuHJ3mGiYxGRDKxJO20pP6\/c15blx07dUQFavXp1nZ9ramqQm5sLJycntG7d+o4KkCRJmD59Ovr27YtOnToBAIqKigAAAQEBdfYNCAjAyZMnr\/k+8fHxePPNN2\/795P9eX5Aa5RV1+CzpBN4bc0heKqdMLxLc9GxiMiBbckqxsu\/HAAAPH1XS7wwgEef7dUdFaC0tLSrtul0OowfPx4jR468oyBTpkzBwYMHsX379queu3IJcUmSrrus+KxZszB9+vQ6uUJDQ+8oE9m+V+5ri3K9Ed\/tOonpPx+Au4sTBncIuPkLiYhu0\/78i3jh+\/0wmiUM7xKM1x\/owFtc2LEGmwTt7e2Nt956C6+\/\/vptv3bq1Kn49ddfsWXLFoSEhFi2BwYGAvjfkaDLiouLrzoqdJlarYa3t3edBzkuhUKBucM6YlS35jCZJUxevh87jp8XHYuIHMzx4jI8800KqmpMuDvSD+89Eg0lb3Fh1xr0KrDS0lLLPJ5bIUkSpkyZglWrVmHz5s0IDw+v83x4eDgCAwORmJho2WYwGJCcnIzY2NgGy032TalUYMHDUbivYwAMRjMmfJeKfScvio5FRA7iTGkVxn69F6WVNegS2gSfP9UNLk5cRs\/e3dEpsE8++aTOz5IkobCwEMuWLcOQIUNu+X0mT56M5cuXY+3atfDy8rIc6dFoNHBzc4NCocC0adMwb948REREICIiAvPmzYO7uzvGjBlzJ9HJQTmplPjkia547ttUbMs+j6eX7kXC\/8VwTQ4iqpeLFQaM\/XoPCrXVaO3ngaXje8Ld5Y6+OsnG3NFl8FceqVEqlfDz88OgQYMwa9YseHl53dovv86506VLl2L8+PEAasvVm2++iX\/\/+9+4ePEievfujcWLF1smSt8ML4OXl0qDEX\/7ei9ST15EM08X\/DwxBq38PEXHIiI7VGkwYsyXe5BeUIogjStWPB+L5k3cRMeSDWt\/f9vUOkDWwAIkP9qqGoz5cjcyz+gQrHHFz5NiENKUS9MT0a0zGM147rtUbD12Dk3cnfHLxBhEBNzaX+6pYVj7+5snMcnhaNyc8d0zvdDazwNntNV46qs9KC6rFh2LiOyE2SzhlRUHsPXYObg5q\/Cf8T1ZfhwQCxA5JF9PNb5\/rjdCmrohr6QSf\/t6L0orDaJjEZGNkyQJb687jLXpZ+CkVOCzp7qhW4umomORFbAAkcMK0rjhh+d6w99LjaNFZRi3NAXleqPoWERkwz5LOoGlO\/IAAO8\/Go2Bbf3FBiKrYQEihxbm64Hvn+uNJu7OOFBQignfpqK6xiQ6FhHZoIS9+XjvjywAwOsPdsCIrlxZ3pGxAJHDiwzwwnfP9IKn2gm7ckow+Yf9qDGZRcciIhvyR2YRZq\/OAFB7m51n+4bf5BVk71iASBaiQprg63E9oHZS4r9HizH95wMwmR36AkgiukV7ckow9cc0mCXgsR4hmHFfW9GRqBGwAJFs9G7li8\/HdoezSoHfDpzBnNUZcPBVIIjoJg6f0eG5b1NhMJoxuEMA5o3szPt7yQQLEMnKwLb++Gh0VygVQEJKAeatP8ISRCRT+SWVGLd0L8r0RvRq6YNPn+gKJxW\/FuWC\/6VJdh6ICsL8h6MAAF9uy8Wnm48LTkREje1cmR5j\/7MH58r0aBfohS\/H9YCrs0p0LGpELEAkS4\/1CMU\/H+wAAFiYeAz\/2Z4rOBERNZay6hqMX7oXJ0sqEdLUDd890wsaN2fRsaiRsQCRbD3TNxzTB0cCAN76\/TB+TikQnIiIrK3KYML\/fbcPmWd08PVwwbJne8Pf21V0LBKABYhkbeqgNvi\/u1sBAF5ddRDrDhYKTkRE1lKorcKj\/96JXTkl8FQ74dtneiG8mYfoWCSIk+gARCIpFArMGtoOZdVG\/Lg3H9N+SoO7iwoD23H1VyJHkpZ\/Ef+3bB\/Olenh4+GCL8Z2R6fmGtGxSCAeASLZUygUeGdEJzwUHYwak4RJ3+\/D7pwS0bGIqIGsTT+N0V\/sxrkyPdoGeGHt5LvQo6WP6FgkGAsQEQCVUoEPHovGve39oTea8dy3qUgvKBUdi4jqwWyW8N4fR\/FiQjoMRjPubR+AlS\/EItTHXXQ0sgEsQESXOKuUWDSmG2Jb+6Jcb8TjX+zCrwfOiI5FRHegQm\/EpO\/3YfGWEwBqb2\/xxdju8FRz5gfVYgEi+gtXZxW+\/FsP3B3ph+oaM\/7+YxrmrT8CI+8dRmQ3Tl2sxMNLdmLT4bNwcVLiw9HRmDmkHZRKrvBM\/8MCRHQFD7UTlo7viecHtAYAfLE1B+OXpuBihUFwMiK6mdS8Cxi+aAeOFpWhmacaCf\/XByO7hoiORTaIBYjoGlRKBWYOaYfFY7rBzVmF7cfP46HF23H4jE50NCK6jl9SC\/DEl7tRUmFAhyBv\/DrlLnRr0VR0LLJRLEBEN\/BAVBBWvRCLFj7uKLhQhVFLdnBeEJGNMZklzFt\/BK+sOIgak4ShnQKx4vkYBDdxEx2NbBgLENFNtL\/0N8l+Ec0s84LiOS+IyCaUVddgwnep+GJrDgDg74PaYPGYbnB34WRnujEWIKJb0MTdBd883QuT+tfOC\/r31hw8\/U0KSis5L4hIlPySSoz6bCc2Hy2G2kmJT5\/oiulxbTnZmW4JCxDRLVIpFXh1aDt8+kRXuDmrsC37PIYt2o4jhZwXRNTYdp0owfDF25FdXI4AbzV+mRSDYdHBomORHWEBIrpNw6KDseqFWIT6uNXOC\/psJ37jvCCiRvPj3nyM\/XoPLlbWIDpEg1+n9EVUSBPRscjOsAAR3YH2Qd74bUpf9ItohqoaE6b+mIb4DUdgMkuioxE5LKPJjLm\/ZmLWqgwYzRKGRQfjp4kxCODd3OkOsAAR3aEm7i5YOr4nJl66m\/y\/k3MwfulezgsisgJtVQ2e\/iYF3+zMAwC8NDgSnzzeBa7OKrHByG6xABHVg5NKiVn3t68zL+ihRTs4L4ioAeWcK8fIz3ZgW\/Z5uDmr8PlT3TD1nggoFJzsTHeOBYioAQyLDsbK52MR0tQN+Rdqr0z5\/SDnBRHV1\/bs8xixeAdyzlUgWOOKFc\/HYEinINGxyAGwABE1kA7BtfOC+rapnRc0ZXka5m84ynlBRHfou115GLd0L3TVRnRt0QRrptyFjsEa0bHIQbAAETWgph4u+Obp\/80L+jz5BNcLIrpNNSYzXluTgX+uzYTJLGFUt+b4cUIf+HtxsjM1HBYgogZ2eV7QJ090hauzEluPncNDi3bgaBHnBRHdzMUKA\/729V58vzsfCgXw6tB2+ODRaE52pgbHAkRkJQ9dMS9o5GLOCyK6kePFZRjx2Q7syimBh4sKX47tgUn9W3OyM1kFCxCRFXUM1uC3KX1xVxtfzgsiuoEtWcUYuXgnTpZUIqSpG1a+EIt7OwSIjkUOjAWIyMqaerjg26d74f84L4joKpIk4attOXj2mxSU6Y3o1dIHayffhXaB3qKjkYNjASJqBE4qJWbf3x4fP96F84KILjEYzXh1ZQbeWXcEZgkY3SMU3z\/XG76eatHRSAaEFqCtW7di2LBhCA4OhkKhwJo1a+o8P378eCgUijqPPn36iAlL1ACGd2mOlc\/HonmT\/60XtD6jUHQsokZXUq7HU1\/twU+pBVAqgNcf7ID5D3eGixP\/Xk6NQ+gnraKiAtHR0Vi0aNF19xkyZAgKCwstj\/Xr1zdiQqKG1zFYg9+m1s4LqjSY8MIP+7FgI+cFkXwcLdJh+OId2Jt3AV5qJ3w9viee7RvOyc7UqJxE\/vKhQ4di6NChN9xHrVYjMDCwkRIRNQ6fS\/OC3t14FF9uy8VnSSeQeUaHTx7vCo27s+h4RFbz5+GzeDEhDRUGE8J83fH1uB5o4+8lOhbJkM0fa0xKSoK\/vz8iIyMxYcIEFBcX33B\/vV4PnU5X50Fki5xUSsx5oINlXlDysXN4aPF2ZBWViY5G1OAkScLnyScwYVkqKgwmxLb2xZoX7mL5IWFsugANHToUP\/zwAzZv3owPPvgAKSkpGDRoEPR6\/XVfEx8fD41GY3mEhoY2YmKi2ze8S3OsmFQ7L+hkSSVGfraD84LIoVTXmPDSzwcwf8NRSBLwZO8W+PaZXmjq4SI6GsmYQpIkm5h4oFAosHr1aowYMeK6+xQWFiIsLAwJCQkYNWrUNffR6\/V1CpJOp0NoaCi0Wi28vXlZJdmuCxUGTFm+HztPlAAAXhjQGi\/FtYVKyXkRZJ8kScKfR4oRv+EIcs5VQKVUYO6wDhgb01J0NLIDOp0OGo3Gat\/fQucA3a6goCCEhYUhOzv7uvuo1Wqo1byEkuyPj4cLvnumF+I3HMXX22vnBR0u1OHj0ZwXRPbn0Gkt3ll3GLtzLgAAmnm64KPRXdE3opngZES17KoAlZSUoKCgAEFBQaKjEFmFk0qJ1x\/sgM7NNZi58iCSsmrnBX0xtgfaBnKuBNm+M6VVeP+PLKxKOw0AUDsp8WzfcDw\/oDW8XFnkyXYILUDl5eU4fvy45efc3Fykp6fDx8cHPj4+mDt3Lh5++GEEBQUhLy8Ps2fPRrNmzTBy5EiBqYmsb0TX5mjj74mJy\/bhZEklhi\/ejqfvCseku1vzaBDZpHK9EZ8nncCX23KgN5oBACO7NsfL97VF8yZugtMRXU3oHKCkpCQMHDjwqu3jxo3DkiVLMGLECKSlpaG0tBRBQUEYOHAg3n777dua2Gztc4hE1lRSrseLCenYfvw8AMDb1QmTBrTG07HhcHPh3bFJPKPJjJ9TT2Fh4jGcL6+df9kr3AevPdAeUSFNxIYju2bt72+bmQRtLSxAZO8kSULi4bN4f1MWjp0tBwD4eanx90FtMLpnC66cS8IkZRVj3vojls9lS193zLq\/PeI6BHBRQ6o3FqB6YgEiR2EyS1ibfhoLE4\/h1MUqAEALH3dMHxyJh6KDoeTVYtRIjhbp8K91R7Atu\/bIZBN3Z7x4TwSe7B3GQk4NhgWonliAyNEYjGYkpOTjk\/8et5xyaBfohZfj2uKe9v78mzdZTXFZNRZuOoafUwtglgBnlQLjY1tiysAIzk2jBscCVE8sQOSoKg1GLN2Rh8+TT6Cs2ggA6B7WFK\/c1xZ9WvkKTkeOpMpgwpfbcvB58glUGkwAgAc6B2HmkHZo4esuOB05KhagemIBIkdXWmnA58k5+GZnLqpraq++6R\/ph1fua4tOzTWC05E9M5slrEo7jff\/yEKRrhoA0LVFE7z2QHt0D\/MRnI4cHQtQPbEAkVyc1VXj083ZSNhbAOOlO8s\/EBWElwZHopWfp+B0ZG92njiPf607gswztfdTDGnqhplD2uHBqCCeZqVGwQJUTyxAJDcnSyqwMPEYfj1wBpIEqJQKPNYjBH+\/JwJBGq7HQjd2vLgc8zccwZ9Ham887eXqhCkD22BcbEu4OnPpBWo8LED1xAJEcnWkUIf3\/8jCf4\/WfpG5OCkxLiYMLwxow5tQ0lVKyvX46M9sLN+bD5NZgkqpwFO9W+DFeyPhw88LCcACVE8sQCR3qXkXsGBjFvbm1d6TyVPthAn9WuHZfuHwVNvV3XDICqprTFi6Iw+fbTmOMn3tZPp72wdg1v3t0JqnTkkgFqB6YgEiql1MMenYOby3MQuHC2vndPh6uGDywDZ4sk8LqJ14akNuJEnCrwfOYMHGLJwurV1XqlNzb8y+vz1iW\/OGpSQeC1A9sQAR\/Y\/ZLGFdRiEWJh5D7vkKAEDzJm6Ydm8ERnULgYqLKcpCat4FvL3uCA4UlAIAAr1d8cp9bTGya3MuqEk2gwWonliAiK5WYzLjl9RT+Pi\/x3BWV7uYYht\/T7wcF4n7OgbyKh8HdbKkAvM3HMWGQ0UAAHcXFZ7v3xrP9WvFe8uRzWEBqicWIKLrq64x4btdefgs6QRKK2sAANEhGswY0g53teFpEEehrazBJ5uz8d2uPNSYJCgVwOieofjH4Ej4e7mKjkd0TSxA9cQCRHRzuuoafLU1B19tz7Ws9HtXG1+8cl87dAltIjYc3TGD0Yxlu0\/ik\/9mQ1tVW3DvjvTDnPvbo22gl+B0RDfGAlRPLEBEt+5cmR6LtxzH8j35MJhqV5W+r2MAXo5ri4gAfmHai3K9Ef89chYfJh5DXkklAKBtgBdmP9Ae\/SP9BKcjujUsQPXEAkR0+05drMRHf2Zj1f5TMEuAUgGM6haCafdGIKQp7\/1kayRJwolzFUjKKsaWrGLszb2AGlPt\/9qbearxUlwkHusRyknuZFdYgOqJBYjozmWfLcP7m7LwR+ZZAICLSokxvVvgsR6haBfoxSuGBKquMWHXiRJsuVR6Ci5U1Xm+pa87hndpjgl3t+J6T2SXWIDqiQWIqP7SC0rx3h9HseN4iWVbE3dn9A73QUwrX\/Rp7YtIfxYiayu4UFlbeI4WY+eJEuiNZstzLiolerfywcC2\/hjYzh\/hzTwEJiWqPxagemIBImo4O46fx1fbcrAn94JlsvRlPh4utYWotS\/6tPJFhL8nL6evJ4PRjJS8C9hytPYoz4lzFXWeD9a4YmA7fwxs64\/YNr5wd+GRHnIcLED1xAJE1PBqTGZknNZid04Jdp0oQWreRVTV1C1Evh4u6HPp6FBMKx+09mMhuhWF2iokZZ3DlqPF2HH8PCr+UjSdlAr0aNnUcpSHJZMcGQtQPbEAEVmfwWhGxulS7DpRgt05F5B68gKqa8x19mnmqUafVv87QtSqmQe\/vAEYTWbszy+1nNo6WlRW53k\/LzUGRPphYDt\/9I1oBm9XZ0FJiRoXC1A9sQARNT690YSDp7SXClEJ9p28WGe+CgD4e6nRp5WvpRC19HWXTSE6X65HctY5bMkqxtZj56CrNlqeUyiArqFNLEd5OgR5c24VyRILUD2xABGJV11jwoGCUuzKqS1E+\/NLYbiiEAV6u9Y5QtTCx3EKkdks4eBpLbYcLUZSVjEOnNLWeb6puzP6XzrK0y\/CDz4eLoKSEtkOFqB6YgEisj3VNSak5f+vEKXnl1oWXrwsWOP6lzlEvgj1sa\/1h0orDdiafR5JR4uRfOwcSioMdZ7v1NwbA9v6Y0Bbf3QJbcI1eoiuwAJUTyxARLavymDC\/vyLlknVB06VWhbyu6x5EzfL0aGY1r5o3sRNSFZJkmAySzCaJdSYzDCaJNSYa\/9ZUm7A1uxzSMoqxr6TF2H+yx\/BS+2EfpHNMKCtPwZE+sHfm\/fgIroRFqB6YgEisj+VBiP2nfxfITp4Sgujue7\/qkJ93NAn3Bet\/T1hNJlRY6otJpfLiNFkRo259p+1JUWy7Ge8tE+NyXzpNX\/d73qvv7TdfOv\/y2wb4IUB7fwwsK0\/uoc1hbNK2dBDReSwWIDqiQWIyP5V6I1I\/Ushyjithek2ikhjcFYp4OasQq9wHwy4NIFZ1FEqIkdg7e9vrppFRDbPQ+2E\/pF+lht5luuNSMm7gN05JThXpoezUgknlQLOKiWclAo4qZRwVingdGn7tbZd\/ve625RQKRVXbXNSXvrnX19z+XcpFVApFQ4zYZtILliAiMjueKqdai8Tb+svOgoR2SmekCYiIiLZYQEiIiIi2WEBIiIiItlhASIiIiLZYQEiIiIi2WEBIiIiItlhASIiIiLZEVqAtm7dimHDhiE4OBgKhQJr1qyp87wkSZg7dy6Cg4Ph5uaGAQMGIDMzU0xYIiIichhCC1BFRQWio6OxaNGiaz6\/YMECLFy4EIsWLUJKSgoCAwMxePBglJWVNXJSIiIiciRCV4IeOnQohg4des3nJEnCRx99hDlz5mDUqFEAgG+\/\/RYBAQFYvnw5Jk6c2JhRiYiIyIHY7Byg3NxcFBUVIS4uzrJNrVajf\/\/+2Llz53Vfp9frodPp6jyIiIiI\/spmC1BRUREAICAgoM72gIAAy3PXEh8fD41GY3mEhoZaNScRERHZH5stQJddeYdlSZJueNflWbNmQavVWh4FBQXWjkhERER2xmbvBh8YGAig9khQUFCQZXtxcfFVR4X+Sq1WQ61WWz0fERER2S+bPQIUHh6OwMBAJCYmWrYZDAYkJycjNjZWYDIiIiKyd0KPAJWXl+P48eOWn3Nzc5Geng4fHx+0aNEC06ZNw7x58xAREYGIiAjMmzcP7u7uGDNmjMDUREREZO+EFqDU1FQMHDjQ8vP06dMBAOPGjcM333yDGTNmoKqqCi+88AIuXryI3r17Y9OmTfDy8hIVmYiIiByAQpIkSXQIa9LpdNBoNNBqtfD29hYdh4iIiG6Btb+\/bXYOEBEREZG1sAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7Nh0AZo7dy4UCkWdR2BgoOhYREREZOecRAe4mY4dO+LPP\/+0\/KxSqQSmISIiIkdg8wXIycmJR32IiIioQdn0KTAAyM7ORnBwMMLDw\/H4448jJydHdCQiIiKyczZ9BKh379747rvvEBkZibNnz+Kdd95BbGwsMjMz4evre83X6PV66PV6y886na6x4hIREZGdUEiSJIkOcasqKirQunVrzJgxA9OnT7\/mPnPnzsWbb7551XatVgtvb29rRyQiIqIGoNPpoNForPb9bfOnwP7Kw8MDnTt3RnZ29nX3mTVrFrRareVRUFDQiAmJiIjIHtj0KbAr6fV6HDlyBP369bvuPmq1Gmq1uhFTERERkb2x6SNAL7\/8MpKTk5Gbm4s9e\/bgkUcegU6nw7hx40RHIyIiIjtm00eATp06hSeeeALnz5+Hn58f+vTpg927dyMsLEx0NCIiIrJjNl2AEhISREcgIiIiB2TTp8CIiIiIrIEFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkhwWIiIiIZIcFiIiIiGSHBYiIiIhkxy4K0GeffYbw8HC4urqie\/fu2LZtm+hIREREZMdsvgD99NNPmDZtGubMmYO0tDT069cPQ4cORX5+vuhoREREZKcUkiRJokPcSO\/evdGtWzcsWbLEsq19+\/YYMWIE4uPjb\/p6nU4HjUYDrVYLb29va0YlIiKiBmLt72+nBn\/HBmQwGLBv3z68+uqrdbbHxcVh586d13yNXq+HXq+3\/KzVagHUDiQRERHZh8vf29Y6TmPTBej8+fMwmUwICAiosz0gIABFRUXXfE18fDzefPPNq7aHhoZaJSMRERFZT0lJCTQaTYO\/r00XoMsUCkWdnyVJumrbZbNmzcL06dMtP5eWliIsLAz5+flWGUA50el0CA0NRUFBAU8n1gPHseFwLBsOx7JhcBwbjlarRYsWLeDj42OV97fpAtSsWTOoVKqrjvYUFxdfdVToMrVaDbVafdV2jUbDD2MD8fb25lg2AI5jw+FYNhyOZcPgODYcpdI612vZ9FVgLi4u6N69OxITE+tsT0xMRGxsrKBUREREZO9s+ggQAEyfPh1jx45Fjx49EBMTgy+++AL5+fmYNGmS6GhERERkp2y+AI0ePRolJSV46623UFhYiE6dOmH9+vUICwu7pder1Wq88cYb1zwtRreHY9kwOI4Nh2PZcDiWDYPj2HCsPZY2vw4QERERUUOz6TlARERERNbAAkRERESywwJEREREssMCRERERLLj0AXos88+Q3h4OFxdXdG9e3ds27ZNdCSbN3fuXCgUijqPwMBAy\/OSJGHu3LkIDg6Gm5sbBgwYgMzMTIGJbcfWrVsxbNgwBAcHQ6FQYM2aNXWev5Wx0+v1mDp1Kpo1awYPDw889NBDOHXqVCP+KcS72TiOHz\/+qs9onz596uzDcay9LVDPnj3h5eUFf39\/jBgxAllZWXX24Wfy1tzKWPJzeWuWLFmCqKgoy0KRMTEx2LBhg+X5xvxMOmwB+umnnzBt2jTMmTMHaWlp6NevH4YOHYr8\/HzR0Wxex44dUVhYaHlkZGRYnluwYAEWLlyIRYsWISUlBYGBgRg8eDDKysoEJrYNFRUViI6OxqJFi675\/K2M3bRp07B69WokJCRg+\/btKC8vx4MPPgiTydRYfwzhbjaOADBkyJA6n9H169fXeZ7jCCQnJ2Py5MnYvXs3EhMTYTQaERcXh4qKCss+\/EzemlsZS4Cfy1sREhKC+fPnIzU1FampqRg0aBCGDx9uKTmN+pmUHFSvXr2kSZMm1dnWrl076dVXXxWUyD688cYbUnR09DWfM5vNUmBgoDR\/\/nzLturqakmj0Uiff\/55IyW0DwCk1atXW36+lbErLS2VnJ2dpYSEBMs+p0+flpRKpbRx48ZGy25LrhxHSZKkcePGScOHD7\/uaziO11ZcXCwBkJKTkyVJ4meyPq4cS0ni57I+mjZtKn311VeN\/pl0yCNABoMB+\/btQ1xcXJ3tcXFx2Llzp6BU9iM7OxvBwcEIDw\/H448\/jpycHABAbm4uioqK6oyrWq1G\/\/79Oa43cStjt2\/fPtTU1NTZJzg4GJ06deL4XiEpKQn+\/v6IjIzEhAkTUFxcbHmO43htWq0WACw3luRn8s5dOZaX8XN5e0wmExISElBRUYGYmJhG\/0w6ZAE6f\/48TCbTVTdMDQgIuOrGqlRX79698d133+GPP\/7Al19+iaKiIsTGxqKkpMQydhzX23crY1dUVAQXFxc0bdr0uvsQMHToUPzwww\/YvHkzPvjgA6SkpGDQoEHQ6\/UAOI7XIkkSpk+fjr59+6JTp04A+Jm8U9caS4Cfy9uRkZEBT09PqNVqTJo0CatXr0aHDh0a\/TNp87fCqA+FQlHnZ0mSrtpGdQ0dOtTy7507d0ZMTAxat26Nb7\/91jKhj+N65+5k7Di+dY0ePdry7506dUKPHj0QFhaGdevWYdSoUdd9nZzHccqUKTh48CC2b99+1XP8TN6e640lP5e3rm3btkhPT0dpaSlWrlyJcePGITk52fJ8Y30mHfIIULNmzaBSqa5qg8XFxVc1S7oxDw8PdO7cGdnZ2ZarwTiut+9Wxi4wMBAGgwEXL1687j50taCgIISFhSE7OxsAx\/FKU6dOxa+\/\/ootW7YgJCTEsp2fydt3vbG8Fn4ur8\/FxQVt2rRBjx49EB8fj+joaHz88ceN\/pl0yALk4uKC7t27IzExsc72xMRExMbGCkpln\/R6PY4cOYKgoCCEh4cjMDCwzrgaDAYkJydzXG\/iVsaue\/fucHZ2rrNPYWEhDh06xPG9gZKSEhQUFCAoKAgAx\/EySZIwZcoUrFq1Cps3b0Z4eHid5\/mZvHU3G8tr4efy1kmSBL1e3\/ifyTuctG3zEhISJGdnZ+nrr7+WDh8+LE2bNk3y8PCQ8vLyREezaS+99JKUlJQk5eTkSLt375YefPBBycvLyzJu8+fPlzQajbRq1SopIyNDeuKJJ6SgoCBJp9MJTi5eWVmZlJaWJqWlpUkApIULF0ppaWnSyZMnJUm6tbGbNGmSFBISIv3555\/S\/v37pUGDBknR0dGS0WgU9cdqdDcax7KyMumll16Sdu7cKeXm5kpbtmyRYmJipObNm3Mcr\/D8889LGo1GSkpKkgoLCy2PyspKyz78TN6am40lP5e3btasWdLWrVul3Nxc6eDBg9Ls2bMlpVIpbdq0SZKkxv1MOmwBkiRJWrx4sRQWFia5uLhI3bp1q3PJIl3b6NGjpaCgIMnZ2VkKDg6WRo0aJWVmZlqeN5vN0htvvCEFBgZKarVauvvuu6WMjAyBiW3Hli1bJABXPcaNGydJ0q2NXVVVlTRlyhTJx8dHcnNzkx588EEpPz9fwJ9GnBuNY2VlpRQXFyf5+flJzs7OUosWLaRx48ZdNUYcR+maYwhAWrp0qWUffiZvzc3Gkp\/LW\/fMM89Yvpf9\/Pyke+65x1J+JKlxP5MKSZKk2ztmRERERGTfHHIOEBEREdGNsAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARERGR7LAAERERkeywABEREZHssAARkV05d+4cAgMDMW\/ePMu2PXv2wMXFBZs2bRKYjIjsCe8FRkR2Z\/369RgxYgR27tyJdu3aoWvXrnjggQfw0UcfiY5GRHaCBYiI7NLkyZPx559\/omfPnjhw4ABSUlLg6uoqOhYR2QkWICKyS1VVVejUqRMKCgqQmpqKqKgo0ZGIyI5wDhAR2aWcnBycOXMGZrMZJ0+eFB2HiOwMjwARkd0xGAzo1asXunTpgnbt2mHhwoXIyMhAQECA6GhEZCdYgIjI7rzyyitYsWIFDhw4AE9PTwwcOBBeXl74\/fffRUcjIjvBU2BEZFeSkpLw0UcfYdmyZfD29oZSqcSyZcuwfft2LFmyRHQ8IrITPAJEREREssMjQERERCQ7LEBEREQkOyxAREREJDssQERERCQ7LEBEREQkOyxAREREJDssQERERCQ7LEBEREQkOyxAREREJDssQERERCQ7LEBEREQkOyxAREREJDv\/D4EKy8Dw4IC\/AAAAAElFTkSuQmCC", "text\/plain": "<Figure size 640x480 with 1 Axes>"}, "metadata": {}, "output_type": "display_data"}]}}, "8d43b8903d1c4542ac1d493441e99717": {"model_module": "@jupyter-widgets\/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": {"layout": "IPY_MODEL_7cc9130632e24968ac7630fa1302ec66", "outputs": [{"data": {"image\/png": 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diff --git a/src/teachers/GA_1_6/GA_1_6_solution.html b/src/teachers/GA_1_6/GA_1_6_solution.html
index f4be710d..5f1f698c 100644
--- a/src/teachers/GA_1_6/GA_1_6_solution.html
+++ b/src/teachers/GA_1_6/GA_1_6_solution.html
@@ -7509,7 +7509,7 @@ a.anchor-link {
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<h1 id="Workshop-6:-An-ODE-to-Probably-Doing-Enough-(PDE)">Workshop 6: An ODE to Probably Doing Enough (PDE)<a class="anchor-link" href="#Workshop-6:-An-ODE-to-Probably-Doing-Enough-(PDE)">¶</a></h1><h1 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0">
+<h1 id="GA-1.6:-An-ODE-to-Probably-Doing-Enough-(PDE)">GA 1.6: An ODE to Probably Doing Enough (PDE)<a class="anchor-link" href="#GA-1.6:-An-ODE-to-Probably-Doing-Enough-(PDE)">¶</a></h1><h1 style="position: absolute; display: flex; flex-grow: 0; flex-shrink: 0; flex-direction: row-reverse; top: 60px;right: 30px; margin: 0; border: 0">
<style>
.markdown {width:100%; position: relative}
article { position: relative }
@@ -7531,7 +7531,32 @@ a.anchor-link {
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
<h1 id="Overview">Overview<a class="anchor-link" href="#Overview">¶</a></h1><p>This assignment contains two parts: treating non-linear ODEs and treating the diffusion equation (PDE).</p>
-<h2 id="Section-1:-Solving-Non-linear-ODEs">Section 1: Solving Non-linear ODEs<a class="anchor-link" href="#Section-1:-Solving-Non-linear-ODEs">¶</a></h2><p>In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution.</p>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=453992c1">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [1]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=0933143e">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<h2 id="Part-1:-Solving-Non-linear-ODEs">Part 1: Solving Non-linear ODEs<a class="anchor-link" href="#Part-1:-Solving-Non-linear-ODEs">¶</a></h2><p>In task 1 you will solve first a very simple equation unp.np.np.np.sing Newton-Rhapson to understand exactly how to implement it. Task 2 treats the solution of a non-linear ODE in time, first with Explicit Euler and then with Implicit Euler. The latter will require again Newton-Rhapson to find the solution.</p>
</div>
</div>
</div>
@@ -7542,7 +7567,7 @@ a.anchor-link {
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 1</b>
<p>The equation to solve using Newton-Rhapson is</p>
@@ -7560,7 +7585,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 1.1</b>
<p>Formally Newton-Rhapson is implemented iterating the solution as follows:
@@ -7578,13 +7603,24 @@ $$<p><strong>Transform the equation $x^2=9$ to g(x) and write it below, together
</div>
</div>
</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4d30d3b8">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=c221dccd">
<div class="jp-Cell-inputWrapper" tabindex="0">
<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
$$
@@ -7605,7 +7641,7 @@ $$</p>
</div>
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</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 1.2</b>
<p>Implement your equations $g(x)$ and $g'(x)$ in the code below, as well as the Newton-Rhapson expression inside the loop. Test the code with the initial guess of $x=10$.</p>
@@ -7619,10 +7655,24 @@ $$</p>
<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
</div>
<div class="jp-InputArea jp-Cell-inputArea">
-<div class="jp-InputPrompt jp-InputArea-prompt">In [14]:</div>
+<div class="jp-InputPrompt jp-InputArea-prompt">In [2]:</div>
<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># import numpy as np</span>
+
+<span class="c1"># def g(x):</span>
+<span class="c1"># return YOUR_CODE_HERE</span>
+
+<span class="c1"># def g_der(x):</span>
+<span class="c1"># return YOUR_CODE_HERE</span>
+
+<span class="c1"># x = .01</span>
+<span class="c1"># for j in range(100):</span>
+<span class="c1"># x = YOUR_CODE_HERE</span>
+<span class="c1"># # Next task will go here</span>
+
+<span class="c1"># SOLUTION</span>
+<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="k">def</span> <span class="nf">g</span><span class="p">(</span><span class="n">x</span><span class="p">):</span>
<span class="k">return</span> <span class="n">x</span><span class="o">**</span><span class="mi">2</span> <span class="o">-</span> <span class="mi">9</span>
@@ -7635,7 +7685,6 @@ $$</p>
<span class="n">x</span> <span class="o">=</span> <span class="n">x</span> <span class="o">-</span> <span class="n">g</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">/</span><span class="n">g_der</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
<span class="k">if</span> <span class="n">np</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="n">g</span><span class="p">(</span><span class="n">x</span><span class="p">))</span> <span class="o"><</span> <span class="mf">1e-6</span><span class="p">:</span>
<span class="k">break</span>
-
<span class="nb">print</span><span class="p">(</span><span class="s2">"The solution found is "</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="s2">" it took "</span> <span class="p">,</span><span class="n">j</span> <span class="p">,</span> <span class="s2">" iterations to converge."</span><span class="p">)</span>
</pre></div>
@@ -7663,7 +7712,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 1.3</b>
<p>The code is taking 100 iterations without stopping. <strong>Add a condition to the code above to stop the loop once the solution is good enough</strong>, i.e., when the solution is closer than $\epsilon = 1e-6$ to the exact solution. How many iterations does it take now to converge?</p>
@@ -7679,7 +7728,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
<p>4 iterations</p>
@@ -7706,7 +7755,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 1.4</b>
<p>Change the intial guess to $x=0.01$, which is closer to the exact solution than the initial guess in the previous task. How many iterations does it take to converge? Explain the difference.</p>
@@ -7722,10 +7771,10 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
-<p>It takes 11 iterations, 7 more than in the previous case despite the guess being closer to the solution. This is because at that location the derivative is close to 0 and if first goes far away from the solution.</p>
+<p>It takes 11 iterations, 7 more than in the previous case despite the guess being closer to the solution. This is becaTe at that location the derivative is close to 0 and if first goes far away from the solution.</p>
</p>
</div>
</div>
@@ -7749,7 +7798,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 2</b>
<p>Solve the following ODE using Explicit and Implicit Euler.</p>
@@ -7762,13 +7811,24 @@ $$<p>with initial value $y(t=0) = 1$</p>
</div>
</div>
</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6ef1b02a">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Write your answer here.</p>
+</div>
+</div>
+</div>
+</div>
<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8b10ee75">
<div class="jp-Cell-inputWrapper" tabindex="0">
<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 2.1</b>
<p>Write in paper the Explicit and Implicit Euler schemes of the equation above.</p>
@@ -7784,7 +7844,7 @@ $$<p>with initial value $y(t=0) = 1$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
<p>The Explicit Euler Scheme:
@@ -7818,7 +7878,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 2.2</b>
<p>Just as before, Newton-Rhapson must be implemented following:
@@ -7839,7 +7899,7 @@ where $g(z_j) = 0$ and $z_j$ is a guess and $z_{j+1}$ is the improved guess.</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
$$
@@ -7870,7 +7930,7 @@ $$</p>
</div>
<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 2.3</b>
<p>Implement the Explicit Euler and Implicit Euler schemes by filling the lines of code below:</p>
@@ -7890,17 +7950,66 @@ $$</p>
<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
</div>
<div class="jp-InputArea jp-Cell-inputArea">
-<div class="jp-InputPrompt jp-InputArea-prompt">In [2]:</div>
+<div class="jp-InputPrompt jp-InputArea-prompt">In [3]:</div>
<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># def g(y_iplus1,y_i, t_iplus1):</span>
+<span class="c1"># return YOUR_CODE_HERE</span>
+
+<span class="c1"># def g_der(y_iplus1):</span>
+<span class="c1"># return YOUR_CODE_HERE</span>
+
+
+<span class="c1"># # Define parameters:</span>
+<span class="c1"># dt = .3</span>
+<span class="c1"># t_end = 10</span>
+<span class="c1"># t = np.arange(0,t_end+dt,dt)</span>
+
+<span class="c1"># y_EE = np.zeros(t.shape)</span>
+<span class="c1"># y_IE = np.zeros(t.shape)</span>
+
+<span class="c1"># # Define Initial Conditions</span>
+<span class="c1"># y_EE[0] = YOUR_CODE_HERE</span>
+<span class="c1"># y_IE[0] = YOUR_CODE_HERE</span>
+
+<span class="c1"># # Perform time-integration</span>
+<span class="c1"># newtonFailed = 0</span>
+<span class="c1"># for i in range(0, len(t)-1): </span>
+
+<span class="c1"># # Forward Euler:</span>
+<span class="c1"># y_EE[i+1] = YOUR_CODE_HERE</span>
+
+<span class="c1"># # Backward Euler:</span>
+<span class="c1"># y_IE[i+1] = YOUR_CODE_HERE # Initial guess</span>
+<span class="c1"># for j in range(200):</span>
+<span class="c1"># y_IE[i+1] = YOUR_CODE_HERE</span>
+<span class="c1"># if np.abs(g(y_IE[i+1],y_IE[i],t[i+1])) < 1e-6:</span>
+<span class="c1"># break</span>
+
+<span class="c1"># if j >= 199:</span>
+<span class="c1"># newtonFailed = 1</span>
+
+
+<span class="c1"># # Plotting the solution</span>
+<span class="c1"># plt.plot(t, y_EE, 'r', t, y_IE, 'g--')</span>
+<span class="c1"># if newtonFailed:</span>
+<span class="c1"># plt.title('Nonlinear ODE with dt = ' + str(dt) + ' \nImplicit Euler did not converge')</span>
+<span class="c1"># else:</span>
+<span class="c1"># plt.title('Nonlinear ODE with dt = ' + str(dt))</span>
+
+<span class="c1"># plt.xlabel('t')</span>
+<span class="c1"># plt.ylabel('y')</span>
+<span class="c1"># plt.gca().legend(('Explicit','Implicit'))</span>
+<span class="c1"># plt.grid()</span>
+<span class="c1"># plt.show()</span>
+<span class="c1"># SOLUTION</span>
<span class="k">def</span> <span class="nf">g</span><span class="p">(</span><span class="n">y_iplus1</span><span class="p">,</span><span class="n">y_i</span><span class="p">,</span> <span class="n">t_iplus1</span><span class="p">):</span>
<span class="k">return</span> <span class="n">y_iplus1</span><span class="o">-</span><span class="n">y_i</span><span class="o">-</span><span class="n">dt</span><span class="o">*</span><span class="p">(</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">y_iplus1</span><span class="o">**</span><span class="mi">3</span><span class="p">)</span><span class="o">+</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">t_iplus1</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">g_der</span><span class="p">(</span><span class="n">y_iplus1</span><span class="p">):</span>
- <span class="k">return</span> <span class="mi">1</span><span class="o">-</span><span class="mi">3</span><span class="o">*</span><span class="n">dt</span><span class="o">*</span><span class="n">y</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">y_iplus1</span><span class="o">**</span><span class="mi">3</span><span class="p">)</span>
+ <span class="k">return</span> <span class="mi">1</span><span class="o">-</span><span class="mi">3</span><span class="o">*</span><span class="n">dt</span><span class="o">*</span><span class="n">y_iplus1</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">y_iplus1</span><span class="o">**</span><span class="mi">3</span><span class="p">)</span>
<span class="c1"># Define parameters:</span>
@@ -7969,26 +8078,11 @@ $$</p>
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-<h2 id="Section-2:-Diffusion-Equation-in-1D">Section 2: Diffusion Equation in 1D<a class="anchor-link" href="#Section-2:-Diffusion-Equation-in-1D">¶</a></h2><p>The 1-D diffusion equation reads $$\frac{\partial u}{\partial t}=v\frac{\partial^2 u}{\partial x^2}$$</p>
+<h2 id="Part-2:-Diffusion-Equation-in-1D">Part 2: Diffusion Equation in 1D<a class="anchor-link" href="#Part-2:-Diffusion-Equation-in-1D">¶</a></h2><p>The 1-D diffusion equation reads $$\frac{\partial u}{\partial t}=v\frac{\partial^2 u}{\partial x^2}$$</p>
<p>where $u$ is a continuous function in space and time, $v$ is a constant and often referred to as the <strong>diffusivity coefficient</strong>, giving rise to the name 'diffusion equation'. This is a Partial Differential Equation which independent variable, $u$, varies on space and time. This equation is virtually present across all fields of civil engineering and science. Here, we use it to represent the temperature on a rod (see the sketch below).</p>
<p>Unlike the problem of Wednesday, here there is no exchange of heat with the ambient and the temperature evolves in time. The temperature initially is uniform along the rod, equal to $7°C$. Then it is heated at both ends. .</p>
-<p><img alt="Thermal Gradient" src="figures/thermal_gradient.png"/></p>
-<p>The problem is schematized as a one-dimensional $30cm$ steel rod of with a diffusivity coefficient of $4 mm^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ steps.</p>
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-<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
-<span class="kn">import</span> <span class="nn">matplotlib.pyplot</span> <span class="k">as</span> <span class="nn">plt</span>
-</pre></div>
-</div>
+<p><img alt="Thermal Gradient" src="./figures/thermal_gradient.png"/></p>
+<p>The problem is schematized as a one-dimensional $0.3 m$ steel rod of with a diffusivity coefficient of $4e-6 m^2/s$. Run the simulation for $10,000 s$ to see the progression of the temperature through the model. Start with $200$ time steps and use 15 points to represent the rod.</p>
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@@ -7999,7 +8093,7 @@ $$</p>
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+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 3</b>
<p>Solve the diffusion equation using Central Differences in space and Forward Differences in time. You will do this step by step (subtasks).</p>
@@ -8018,7 +8112,7 @@ $$</p>
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+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 3.1:</b>
<p>How many constraints are needed in the 1D diffusion equation to have a well-posed problem?</p>
@@ -8034,7 +8128,7 @@ $$</p>
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+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
<p>One initial condition and two boundary conditions are needed.</p>
@@ -8061,7 +8155,7 @@ $$</p>
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<p>
<b>Task 3.2:</b>
<p>Draw a grid of 6 points with subindexes. Although your actual grid will be much larger, 6 points are enough to visualize the procedure. The initial condition states that the temperature of the rod is $7^o$ C. Does that mean that one single point of your grid is initialized or all of them?</p>
@@ -8077,7 +8171,7 @@ $$</p>
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+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
<p>Drawing of the grid.</p>
@@ -8104,7 +8198,7 @@ $$</p>
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+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 3.3:</b>
<p>Now, the differential equation needs to be expressed in algebraic form using central differences in space and forward differences in time. <strong>Start by just transforming the PDE into a first-order ODE by ONLY applying Central Differences to the spatial derivative term.</strong></p>
@@ -8120,7 +8214,7 @@ $$</p>
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<p>
<b>Solution</b>
$$
@@ -8148,7 +8242,7 @@ $$</p>
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+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Task 3.4:</b>
<p>Before applying Forward Differences in time to the equation. It is needed to add a superscript to the notation that indicates the time step: $T^j_i$. So, $i$ indicates the spatial location and $j$ the time location. For example, $T^0_2$ indicates the temperature at the node $i=2$ and at the initial moment $j=0 (t=0)$. Furthermore, to express in a general form a node of over the next time step, you can express $T^{j+1}_i$.</p>
@@ -8165,7 +8259,7 @@ $$</p>
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<p>
<b>Solution</b>
$$
@@ -8193,47 +8287,26 @@ $$</p>
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+<div style="background-color:#facb8E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>NOTE</b>
-<p>If you have doubts of your solution, ask a staff member! It is important to be in the right track!!</p>
+<p>If you have doubts of your solution, <b>stop</b> and ask a staff member! It is important to be in the right track!!</p>
</p>
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-<div style="background-color:#ffa6a6; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px; width: 95%"><p><b>NOTE TO TEACHERS</b>
-EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS FOLLOWS:
-<ul>
-<li>implement the solution using forward difference in time and central in space</li>
-<li>this is an implicit scheme</li>
-<li>first with constand dirichlet, then with varying (in time) dirichlet condition on one end of the bar</li>
-<li>implement the solution using backward in time and central in space</li>
-<li>in both cases we will try to have the students formulate the matrix analytically before implementing it in code so that it is very similar to what we did on wednesday</li>
-<li>note that the time dependency of the boundary requires that there be a loop in the solution</li>
-</ul>
-</p></div>
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-</div>
-</div>
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<p>
<b>Task 3.5:</b>
-<p>Finally, the coding part! Let's start with defining the parameters and creating the grid. <strong>Fill in the missing parts of the code.</strong></p>
+<p>Finally, some coding! Let's start with defining the parameters and creating the grid. <strong>Fill in the missing parts of the code.</strong></p>
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@@ -8244,7 +8317,7 @@ EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS
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<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># T_left = </span>
@@ -8257,17 +8330,17 @@ EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS
<span class="c1"># nt = </span>
<span class="c1"># Solution</span>
-<span class="n">T_left</span> <span class="o">=</span> <span class="mi">38</span> <span class="c1"># Temperature at the left</span>
-<span class="n">T_right</span> <span class="o">=</span> <span class="mi">25</span> <span class="c1"># Temperature at the right</span>
-<span class="n">T_initial</span> <span class="o">=</span> <span class="mi">7</span> <span class="c1"># Initial temperature of the bar</span>
-<span class="n">length</span> <span class="o">=</span> <span class="mi">300</span> <span class="c1"># Length of the bar in mm</span>
-<span class="n">n_point</span> <span class="o">=</span> <span class="mi">15</span> <span class="c1"># Number of points</span>
-<span class="n">nu</span> <span class="o">=</span> <span class="mi">4</span> <span class="c1"># Constant value nu mm^2/s (representative value for steel)</span>
-<span class="n">dt</span> <span class="o">=</span> <span class="mi">50</span> <span class="c1"># Time increment in seconds</span>
-<span class="n">nt</span> <span class="o">=</span> <span class="mi">200</span> <span class="c1"># Number of time increments</span>
-
-<span class="n">dx</span> <span class="o">=</span> <span class="n">length</span><span class="o">/</span><span class="p">(</span><span class="n">n_point</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span>
-<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linspace</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">length</span><span class="p">,</span><span class="n">n_point</span><span class="p">)</span>
+<span class="n">T_left</span> <span class="o">=</span> <span class="mi">38</span>
+<span class="n">T_right</span> <span class="o">=</span> <span class="mi">25</span>
+<span class="n">T_initial</span> <span class="o">=</span> <span class="mi">7</span>
+<span class="n">L</span> <span class="o">=</span> <span class="mf">0.3</span>
+<span class="n">nu</span> <span class="o">=</span> <span class="mi">4</span><span class="o">/</span><span class="mi">1000</span><span class="o">/</span><span class="mi">1000</span>
+
+<span class="n">dx</span> <span class="o">=</span> <span class="mf">0.02</span>
+<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">L</span><span class="p">,</span><span class="n">dx</span><span class="p">)</span>
+<span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+<span class="n">dt</span> <span class="o">=</span> <span class="mi">50</span>
+<span class="n">m</span> <span class="o">=</span> <span class="mi">200</span>
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@@ -8291,10 +8364,11 @@ EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS
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<p>
<b>Task 3.6:</b>
<p>Define the initial conditions and the boundary conditions. <strong>Fill in the missing parts of the code.</strong></p>
+<p>We define a 2-dimensional Numpy array <code>T</code> where the first index, <code>j</code>, represents time and the second index, <code>i</code>, represents space, for example: <code>T[j, i]</code>. Initialize <code>T</code> with a matrix of zeros.</p>
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@@ -8308,40 +8382,67 @@ EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS
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-<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># Initialise empty solution array "us"</span>
-<span class="n">us</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">nt</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">n_point</span><span class="p">))</span>
-
-<span class="c1"># Initialise initial conditions into the solution array t=0</span>
-<span class="c1"># us[0] = </span>
-<span class="c1"># Solution:</span>
-<span class="n">us</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_initial</span>
-
-<span class="c1"># Initialise boundary conditions into the solution array at t=0</span>
-<span class="c1"># Remember that the first term is the left boundary and the last term is the right boundary.</span>
-<span class="c1"># us[0][0] = </span>
-<span class="c1"># us[0][-1] = </span>
-<span class="c1"># Solution:</span>
-<span class="n">us</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_left</span>
-<span class="n">us</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_right</span>
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># T = YOUR_CODE_HERE</span>
+<span class="c1"># T[0, :] = YOUR_CODE_HERE</span>
+<span class="c1"># T[:, 0] = YOUR_CODE_HERE</span>
+<span class="c1"># T[:, -1] = YOUR_CODE_HERE</span>
+<span class="c1"># b = YOUR_CODE_HERE</span>
+
+<span class="c1"># SOLUTION</span>
+<span class="n">T</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">m</span><span class="p">,</span><span class="n">n</span><span class="p">))</span>
+<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="p">:]</span> <span class="o">=</span> <span class="n">T_initial</span>
+<span class="n">T</span><span class="p">[:,</span> <span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_left</span>
+<span class="n">T</span><span class="p">[:,</span> <span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_right</span>
+<span class="n">b</span> <span class="o">=</span> <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">nu</span><span class="o">*</span><span class="n">dt</span><span class="o">/</span><span class="p">(</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span> <span class="mi">2</span><span class="p">:]</span><span class="o">-</span><span class="mi">2</span><span class="o">*</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span> <span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span> <span class="p">:</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span>
</pre></div>
</div>
</div>
</div>
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</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=726ef6e5-db85-4d29-936a-681782073a4e">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=e7c5bf2e">
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-<p>The finite difference operation will involve using an array that contains $u$ at every point in the array <code>x</code> (code), <code>dt</code>, <code>dx</code> and <code>nu</code> to return an array that contains $u$ at every point in the array <code>x</code> at the <strong>next time step</strong>.</p>
-<p>But what about the boundary points? These will remain the same as the boundaries are held at a constant temperature. Hence, for each array pertaining to $u$, the first and the last values should correspond to the boundary temperatures, before the array is used an a input for the finite difference operation. The rest of the terms can be consded as per the equation in Step 3. In short, while advancing in time, from <code>0</code> to <code>nt*dt</code>, the first and lasts elements of the array $u$ will not be advanced in time but in fact, be assigned the boundary values of temperature.</p>
-<p>So if the $u$ array corresponding to the first time-step has the correct boundary values, the finite difference operation need only copy these values to their locations in every successive array in time. This can be done as an if and else statement.</p>
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 3.7:</b>
+<p>Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b. As in the workshop and textbook, the <code>A</code> matrix consists only of the unknowns in the problem.</p>
+</p>
+</div>
+</div>
</div>
</div>
</div>
-</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=ffd2090f-c5b0-43ee-8516-ae98eb6cff1d">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=7e0147f1">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=641bb333">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Solution</b>
+<p>Answer</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=787c37f6">
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@@ -8349,97 +8450,167 @@ EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS
<div class="jp-InputPrompt jp-InputArea-prompt">In [6]:</div>
<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">fdm_step</span><span class="p">(</span><span class="n">u</span><span class="p">,</span> <span class="n">dx</span><span class="p">,</span> <span class="n">dt</span><span class="p">,</span> <span class="n">nu</span><span class="p">):</span>
-
- <span class="n">u_new</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">u</span><span class="p">))</span>
-
- <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="nb">len</span><span class="p">(</span><span class="n">u</span><span class="p">)):</span>
-
- <span class="k">if</span> <span class="n">i</span> <span class="o">==</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">==</span> <span class="nb">len</span><span class="p">(</span><span class="n">u</span><span class="p">)</span><span class="o">-</span><span class="mi">1</span><span class="p">:</span> <span class="c1"># Exclue fixed boundary point at ends</span>
-
- <span class="n">u_new</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span>
- <span class="k">else</span><span class="p">:</span>
- <span class="n">u_new</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+</span> <span class="n">nu</span><span class="o">*</span><span class="n">dt</span><span class="o">*</span><span class="p">(</span><span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">-</span> <span class="mi">2</span><span class="o">*</span><span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">+</span> <span class="n">u</span><span class="p">[</span><span class="n">i</span><span class="o">-</span><span class="mi">1</span><span class="p">])</span><span class="o">/</span><span class="p">(</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
-
- <span class="k">return</span> <span class="n">u_new</span>
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># for j in range(m-1):</span>
+<span class="c1"># A = YOUR_CODE_HERE</span>
+<span class="c1"># b = YOUR_CODE_HERE</span>
+<span class="c1"># T[j+1,1:-1] = YOUR_CODE_HERE</span>
+
+<span class="c1"># SOLUTION</span>
+<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">m</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
+ <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">))</span>
+ <span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
+ <span class="n">b</span> <span class="o">=</span> <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">nu</span><span class="o">*</span><span class="n">dt</span><span class="o">/</span><span class="p">(</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">2</span><span class="p">:]</span><span class="o">-</span><span class="mi">2</span><span class="o">*</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,:</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span>
+ <span class="n">T_1_to_n_minus1</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">inv</span><span class="p">(</span><span class="n">A</span><span class="p">)</span> <span class="o">@</span> <span class="n">b</span>
+ <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_1_to_n_minus1</span>
</pre></div>
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</div>
</div>
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</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=a0033860-a8fb-41d0-9c39-4d9b1676fdcc">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=794f6329">
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-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
-<b>Task 1.4:</b>
-<p>You now have the finite difference operation and initial arrays. Now write a single line of code to loop over all time steps to obtain the solution at <code>dt*nt</code>.</p>
+<b>Task 3.8:</b>
+<p>Use this code cell if you would like to verify your numerical implementation. For example, visualize the temperature profile at different time steps.</p>
</p>
</div>
</div>
</div>
</div>
-</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=193daff2">
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=56f6fdea">
<div class="jp-Cell-inputWrapper" tabindex="0">
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<div class="jp-InputArea jp-Cell-inputArea">
-<div class="jp-InputPrompt jp-InputArea-prompt">In [16]:</div>
+<div class="jp-InputPrompt jp-InputArea-prompt">In [7]:</div>
<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nt</span><span class="p">):</span>
- <span class="n">us</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">fdm_step</span><span class="p">(</span><span class="n">us</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="n">dx</span><span class="p">,</span> <span class="n">dt</span><span class="p">,</span> <span class="n">nu</span><span class="p">)</span>
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># plt.plot(x, T[YOUR_CODE_HERE,:])</span>
+<span class="c1"># plt.plot(x, T[YOUR_CODE_HERE,:])</span>
+<span class="c1"># plt.plot(x, T[YOUR_CODE_HERE,:])</span>
+<span class="c1"># plt.xlabel('x')</span>
+<span class="c1"># plt.ylabel('T')</span>
+<span class="c1"># plt.show()</span>
</pre></div>
</div>
</div>
</div>
</div>
</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=794f6329">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=17e7be50-79a7-4699-b0d8-908a58ce36d7">
<div class="jp-Cell-inputWrapper" tabindex="0">
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-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
-<b>Task XXX:</b>
-<p>Visualization of the temporal evolution.</p>
+<b>Task 3.9:</b>
+<p>Describe the time evolution of the temperature along the rod. Does the temperature reach a steady-state? What does that mean for heat flow?</p>
+<p>Write your answer in the following markdown cell.</p>
</p>
</div>
</div>
</div>
</div>
-</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell" id="cell-id=fbdbd830-46f7-48eb-926e-ab6cd093f90a">
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8db518cd">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=fb6cc514-2b49-43df-bd26-35ade685e4db">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Solution</b>
+<p>Your plots should show at the beginning temperatures of $38^oC$ and $25^oC$ at the edges and $7^oC$ elsewhere. As time progresses, you can notice how the temperature increases through the rod and eventually becomes a constant gradient across the length of the rod, indicating a steady-state.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=9fcbb39f">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 4</b>
+<p>Alter the right boundary condition, with the following equation:</p>
+$$
+u^t_{x=L} = 25 + 10 \sin \left(\frac{2\pi t}{period}\right)
+$$<p>where L refers to the last point of the rod. Put your whole code together in a single cell. Copy the code cells from task 3.5 until task 3.8. Modify the right boundary condition as stated above, the period is 6000 seconds.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell" id="cell-id=05534522">
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-<div class="jp-InputPrompt jp-InputArea-prompt">In [7]:</div>
+<div class="jp-InputPrompt jp-InputArea-prompt">In [8]:</div>
<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">FDM_plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">u</span><span class="p">,</span> <span class="n">step</span><span class="p">):</span>
- <span class="n">fig</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">figure</span><span class="p">()</span>
- <span class="n">ax</span> <span class="o">=</span> <span class="n">plt</span><span class="o">.</span><span class="n">axes</span><span class="p">(</span><span class="n">xlim</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">300</span><span class="p">),</span> <span class="n">ylim</span><span class="o">=</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">40</span><span class="p">))</span>
- <span class="n">ax</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">u</span><span class="p">[</span><span class="n">step</span><span class="p">])</span>
- <span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'x'</span><span class="p">)</span>
- <span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'u'</span><span class="p">)</span>
- <span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
-
-<span class="n">play</span> <span class="o">=</span> <span class="n">widgets</span><span class="o">.</span><span class="n">Play</span><span class="p">(</span><span class="nb">min</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="nb">max</span><span class="o">=</span><span class="n">nt</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">value</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">interval</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">disabled</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
-<span class="n">slider</span> <span class="o">=</span> <span class="n">widgets</span><span class="o">.</span><span class="n">IntSlider</span><span class="p">(</span><span class="nb">min</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="nb">max</span><span class="o">=</span><span class="n">nt</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">value</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
-<span class="n">widgets</span><span class="o">.</span><span class="n">jslink</span><span class="p">((</span><span class="n">play</span><span class="p">,</span> <span class="s1">'value'</span><span class="p">),</span> <span class="p">(</span><span class="n">slider</span><span class="p">,</span> <span class="s1">'value'</span><span class="p">))</span>
-
-<span class="n">interact</span><span class="p">(</span><span class="n">FDM_plot</span><span class="p">,</span>
- <span class="n">x</span><span class="o">=</span><span class="n">fixed</span><span class="p">(</span><span class="n">x</span><span class="p">),</span>
- <span class="n">u</span><span class="o">=</span><span class="n">fixed</span><span class="p">(</span><span class="n">us</span><span class="p">),</span>
- <span class="n">step</span> <span class="o">=</span> <span class="p">(</span><span class="n">play</span><span class="p">))</span>
-
-<span class="n">widgets</span><span class="o">.</span><span class="n">HBox</span><span class="p">([</span><span class="n">slider</span><span class="p">])</span>
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># YOUR_CODE_HERE</span>
+
+<span class="c1"># SOLUTION</span>
+<span class="n">T_left</span> <span class="o">=</span> <span class="mi">38</span>
+<span class="n">T_right</span> <span class="o">=</span> <span class="mi">25</span>
+<span class="n">T_initial</span> <span class="o">=</span> <span class="mi">7</span>
+<span class="n">L</span> <span class="o">=</span> <span class="mf">0.3</span>
+<span class="n">nu</span> <span class="o">=</span> <span class="mi">4</span><span class="o">/</span><span class="mi">1000</span><span class="o">/</span><span class="mi">1000</span>
+
+<span class="n">dx</span> <span class="o">=</span> <span class="mf">0.02</span>
+<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">L</span><span class="p">,</span><span class="n">dx</span><span class="p">)</span>
+<span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+<span class="n">dt</span> <span class="o">=</span> <span class="mi">50</span>
+<span class="n">m</span> <span class="o">=</span> <span class="mi">200</span>
+
+<span class="n">period</span> <span class="o">=</span> <span class="mi">6000</span>
+<span class="n">T</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">m</span><span class="p">,</span><span class="n">n</span><span class="p">))</span>
+<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">,:]</span> <span class="o">=</span> <span class="n">T_initial</span>
+<span class="n">T</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_left</span>
+<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">m</span><span class="o">*</span><span class="n">dt</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span>
+<span class="n">T</span><span class="p">[:,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">25</span> <span class="o">+</span> <span class="mi">10</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">t</span><span class="o">/</span><span class="n">period</span><span class="p">)</span>
+
+
+<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">m</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
+ <span class="c1"># Building matrix A</span>
+ <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">))</span>
+ <span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="mi">1</span><span class="p">)</span>
+ <span class="c1"># Building vector b</span>
+ <span class="n">b</span> <span class="o">=</span> <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">nu</span><span class="o">*</span><span class="n">dt</span><span class="o">/</span><span class="p">(</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">2</span><span class="p">:]</span><span class="o">-</span><span class="mi">2</span><span class="o">*</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span><span class="o">+</span><span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,:</span><span class="o">-</span><span class="mi">2</span><span class="p">])</span>
+ <span class="n">T_1_to_n_minus1</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">inv</span><span class="p">(</span><span class="n">A</span><span class="p">)</span> <span class="o">@</span> <span class="n">b</span>
+ <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_1_to_n_minus1</span>
+
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">,:])</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">30</span><span class="p">,:])</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">150</span><span class="p">,:])</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'x'</span><span class="p">)</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T'</span><span class="p">)</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
</pre></div>
</div>
</div>
@@ -8451,198 +8622,285 @@ EVERYTHING BELOW THIS POINT IS VERY MUCH IN DRAFT. THE GENERAL SCOPE WILL BE AS
<div class="jp-OutputArea jp-Cell-outputArea">
<div class="jp-OutputArea-child">
<div class="jp-OutputPrompt jp-OutputArea-prompt"></div>
-<div class="jp-RenderedText jp-OutputArea-output" data-mime-type="application/vnd.jupyter.stderr" tabindex="0">
-<pre>
-<span class="ansi-red-intense-fg ansi-bold">---------------------------------------------------------------------------</span>
-<span class="ansi-red-intense-fg ansi-bold">NameError</span> Traceback (most recent call last)
-Cell <span class="ansi-green-intense-fg ansi-bold">In[7], line 13</span>
-<span class="ansi-green-fg"> 10</span> plt<span style="color: rgb(98,98,98)">.</span>ylabel(<span style="color: rgb(175,0,0)">'</span><span style="color: rgb(175,0,0)">u</span><span style="color: rgb(175,0,0)">'</span>)
-<span class="ansi-green-fg"> 11</span> plt<span style="color: rgb(98,98,98)">.</span>show()
-<span class="ansi-green-intense-fg ansi-bold">---> 13</span> play <span style="color: rgb(98,98,98)">=</span> widgets<span style="color: rgb(98,98,98)">.</span>Play(<span style="color: rgb(0,135,0)">min</span><span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">0</span>, <span style="color: rgb(0,135,0)">max</span><span style="color: rgb(98,98,98)">=</span>nt<span style="color: rgb(98,98,98)">-</span><span style="color: rgb(98,98,98)">1</span>, step<span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">1</span>, value<span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">0</span>, interval<span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">100</span>, disabled<span style="color: rgb(98,98,98)">=</span><span class="ansi-bold" style="color: rgb(0,135,0)">False</span>)
-<span class="ansi-green-fg"> 14</span> slider <span style="color: rgb(98,98,98)">=</span> widgets<span style="color: rgb(98,98,98)">.</span>IntSlider(<span style="color: rgb(0,135,0)">min</span><span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">0</span>, <span style="color: rgb(0,135,0)">max</span><span style="color: rgb(98,98,98)">=</span>nt<span style="color: rgb(98,98,98)">-</span><span style="color: rgb(98,98,98)">1</span>, step<span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">1</span>, value<span style="color: rgb(98,98,98)">=</span><span style="color: rgb(98,98,98)">0</span>)
-<span class="ansi-green-fg"> 15</span> widgets<span style="color: rgb(98,98,98)">.</span>jslink((play, <span style="color: rgb(175,0,0)">'</span><span style="color: rgb(175,0,0)">value</span><span style="color: rgb(175,0,0)">'</span>), (slider, <span style="color: rgb(175,0,0)">'</span><span style="color: rgb(175,0,0)">value</span><span style="color: rgb(175,0,0)">'</span>))
-
-<span class="ansi-red-intense-fg ansi-bold">NameError</span>: name 'widgets' is not defined</pre>
+<div class="jp-RenderedImage jp-OutputArea-output" tabindex="0">
+<img alt="No description has been provided for this image" class="" 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"/>
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</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=dd052188-5e1d-4335-9462-5af07e4ea03b">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=852b05c5">
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<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#facb8e; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px"> <p><b>Note:</b> Depending on your choice of time step, you may have noticed that your notebook did not converge. This would have looked like a log of oscillations (jagged up-and-down lines) that appear during the animation, which then increase out of control. This happens because the numerical approach used here is conditionally stable; large time steps do not work well. This has to do with the high value of the diffusivity parameter.</p></div>
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5</b>
+<p>Solve the diffusion equation using Central Differences in space but <strong>now with Backward Differences in time</strong>. You will do this step by step (subtasks). Just as before.</p>
+</p>
</div>
</div>
</div>
</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=17e7be50-79a7-4699-b0d8-908a58ce36d7">
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=81fe7677">
<div class="jp-Cell-inputWrapper" tabindex="0">
<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
-<b>Task 1.5:</b>
-<p>Explain what the animation above shows? Does the temperature reach a steady-state? What does that mean for heat flow?</p>
-<p>Record your answer in the following markdown cell.</p>
+<b>Task 5.1:</b>
+<p>Draw the stencils (two in total) of this equation when solving it with Central Differences in space and <strong>Forward Differences in time</strong> and when solving it with Central Differences in space and <strong>Backward Differences in time</strong>.</p>
</p>
</div>
</div>
</div>
</div>
</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=fb6cc514-2b49-43df-bd26-35ade685e4db">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=6df8a151">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=1c67a2bf">
<div class="jp-Cell-inputWrapper" tabindex="0">
<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
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<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
-<p>Animated plot above shows how the ends of the rod at temperatures of $38^oC$ and $25^oC$ but $7^oC$ elsewhere. As the animation begins, you can notice how the temperature increases through the rod and eventually becomes a constant gradient across the length of the rod, indicating a steady-state.</p>
+<p>Drawing of the stencils</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=ca16ee10">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.2:</b>
+<p>Now, the differential equation needs to be expressed in algebraic form using central differences in space and forward differences in time. <strong>Start by just transforming the PDE into a first-order ODE by ONLY applying Central Differences to the spatial derivative term.</strong></p>
</p>
</div>
</div>
</div>
</div>
</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=e376cd92-6d55-4d8f-8504-5d0972ed41ca">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4a25a0d0">
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-<h2 id="Task-2:-Altering-the-right-boundary">Task 2: Altering the right boundary<a class="anchor-link" href="#Task-2:-Altering-the-right-boundary">¶</a></h2><p>Say the right-end of the bar is heated with the cyclic function:
-$$ u(L,t)=25+10\sin\left(\frac{2\pi t}{T}\right)$$</p>
-<p>where $T$ is the time period of the cyclic heating. Here are the additional values for this problem.</p>
+<p>Your answer here.</p>
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-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=032cef25-50fd-4b82-8ec7-8f5a2e8eaac1">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=53ca7cc9">
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-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
-<b>Task 2.1:</b>
-<p>Based on the initialization of the problem as described in Task 1.4, can you set up the initial and boundary conditions for this situation? (you only need to change one condition).</p>
-</p>
+<b>Solution</b>
+$$
+\frac{\partial T}{\partial t}\bigg|_i = \nu \frac{T_{i+1}-2T_i+T_{i-1}}{\Delta x^2}
+$$</p>
</div>
</div>
</div>
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-</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=7a2db483-7d49-45ad-beeb-b5ad78024cfe">
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=139d33af">
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-<div class="jp-InputArea jp-Cell-inputArea">
-<div class="jp-InputPrompt jp-InputArea-prompt">In [29]:</div>
-<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
-<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="n">t</span> <span class="o">=</span> <span class="mi">0</span>
-<span class="n">T</span> <span class="o">=</span> <span class="mi">6000</span>
-
-<span class="n">nt</span> <span class="o">=</span> <span class="mi">600</span>
-<span class="n">us</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">nt</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="n">n_point</span><span class="p">))</span>
-
-<span class="c1"># us[0] = </span>
-<span class="c1"># Solution:</span>
-<span class="n">us</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_initial</span>
-
-<span class="c1"># us[0][-1] = </span>
-<span class="c1"># Solution:</span>
-<span class="n">us</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_left</span>
-<span class="n">us</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">25</span> <span class="o">+</span> <span class="mi">10</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">t</span><span class="o">/</span><span class="n">T</span><span class="p">)</span>
-</pre></div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.3:</b>
+<p><strong>Apply Backward Differences to the equation to obtain an algebraic expression.</strong></p>
+</p>
</div>
</div>
</div>
</div>
</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8711923d-0c98-453c-a1a0-8b687f53e9df">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=73b82177">
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-<p>To pass on the value of the time-dependent boundary condition <code>T_Right</code> to the iteration loop, you must copy the value of <code>us</code> (the solution) to another array, modify the boundary condition on the right (which element of the array will that be?) and pass the modified array to the solution function <code>fdm_step</code>.</p>
-<p>You can use the following code for dynamic plotting:</p>
+<p>Your answer here.</p>
+</div>
</div>
</div>
</div>
-</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs" id="cell-id=91182c14-d4d7-4098-9abb-1cee859c8dfe">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=7d201180">
<div class="jp-Cell-inputWrapper" tabindex="0">
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-<div class="jp-InputArea jp-Cell-inputArea">
-<div class="jp-InputPrompt jp-InputArea-prompt">In [ ]:</div>
-<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
-<div class="cm-editor cm-s-jupyter">
-<div class="highlight hl-ipython3"><pre><span></span><span class="n">play</span> <span class="o">=</span> <span class="n">widgets</span><span class="o">.</span><span class="n">Play</span><span class="p">(</span><span class="nb">min</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="nb">max</span><span class="o">=</span><span class="n">nt</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">value</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="n">interval</span><span class="o">=</span><span class="mi">100</span><span class="p">,</span> <span class="n">disabled</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
-<span class="n">slider</span> <span class="o">=</span> <span class="n">widgets</span><span class="o">.</span><span class="n">IntSlider</span><span class="p">(</span><span class="nb">min</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span> <span class="nb">max</span><span class="o">=</span><span class="n">nt</span><span class="o">-</span><span class="mi">1</span><span class="p">,</span> <span class="n">step</span><span class="o">=</span><span class="mi">1</span><span class="p">,</span> <span class="n">value</span><span class="o">=</span><span class="mi">0</span><span class="p">)</span>
-<span class="n">widgets</span><span class="o">.</span><span class="n">jslink</span><span class="p">((</span><span class="n">play</span><span class="p">,</span> <span class="s1">'value'</span><span class="p">),</span> <span class="p">(</span><span class="n">slider</span><span class="p">,</span> <span class="s1">'value'</span><span class="p">))</span>
-
-<span class="n">interact</span><span class="p">(</span><span class="n">FDM_plot</span><span class="p">,</span>
- <span class="n">x</span><span class="o">=</span><span class="n">fixed</span><span class="p">(</span><span class="n">x</span><span class="p">),</span>
- <span class="n">u</span><span class="o">=</span><span class="n">fixed</span><span class="p">(</span><span class="n">us</span><span class="p">),</span>
- <span class="n">step</span><span class="o">=</span><span class="n">play</span><span class="p">)</span>
-
-<span class="n">widgets</span><span class="o">.</span><span class="n">HBox</span><span class="p">([</span><span class="n">slider</span><span class="p">])</span>
-
-<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">nt</span><span class="p">):</span>
- <span class="n">umod</span> <span class="o">=</span> <span class="n">us</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
- <span class="n">umod</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="mi">25</span> <span class="o">+</span> <span class="mi">10</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="mi">2</span><span class="o">*</span><span class="n">np</span><span class="o">.</span><span class="n">pi</span><span class="o">*</span><span class="n">t</span><span class="o">/</span><span class="n">T</span><span class="p">)</span>
- <span class="n">us</span><span class="p">[</span><span class="n">i</span><span class="o">+</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">fdm_step</span><span class="p">(</span><span class="n">umod</span><span class="p">,</span> <span class="n">dx</span><span class="p">,</span> <span class="n">dt</span><span class="p">,</span> <span class="n">nu</span><span class="p">)</span>
- <span class="c1"># Update time</span>
- <span class="n">t</span> <span class="o">+=</span> <span class="n">dt</span>
-</pre></div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Solution</b>
+$$
+T^{j+1}_{i} = T^j_i + \frac{\nu \Delta t}{\Delta x^2} \left(T^{j+1}_{i+1}-2T^{j+1}_i+T^{j+1}_{i-1}\right)
+$$</p>
</div>
</div>
</div>
</div>
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-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=649e7062-eccf-4aab-bd8b-859a00ded411">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=25b64dff">
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-<div style="background-color:#AABAB2; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
-<b>Task 2.2:</b>
-<p>Why is the right boundary dealt with differently in the code than previously? What is different in this version compared to the first?</p>
-<p>Record your answer in the following markdown cell.</p>
+<b>Task 5.4:</b>
+<p>Write in paper the equations that come out from your algebraic representation of the diffusion equation, solving for the unknowns. Use it then to write the matrix A, the unknown vector T and vector b.</p>
</p>
</div>
</div>
</div>
</div>
</div>
-<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=4ff6ab87">
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=8c1db830">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<p>Your answer here.</p>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=ec130a96">
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-<div style="background-color:#FAE99E; color: black; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<div style="background-color:#FAE99E; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
<p>
<b>Solution</b>
-<p>Replacing the right-hand boundary with a sinusoidal function means that the temperature at the right end of the rod now fluctuates and this then affects the temperature as it diffuses through the rod.</p>
+<p>Answer</p>
</p>
</div>
</div>
</div>
</div>
</div>
+<div class="jp-Cell jp-MarkdownCell jp-Notebook-cell" id="cell-id=36284ee9">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea"><div class="jp-InputPrompt jp-InputArea-prompt">
+</div><div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput" data-mime-type="text/markdown">
+<div style="background-color:#AABAB2; color: black; width:95%; vertical-align: middle; padding:15px; margin: 10px; border-radius: 10px">
+<p>
+<b>Task 5.5</b>
+<p>Copy the code of task 4 and make sure to use the Dirichlet conditions of task 3: constant Dirichlet conditions. Implement the Implicit scheme by modifying the code of how the matrix A and vector b are built.</p>
+</p>
+</div>
+</div>
+</div>
+</div>
+</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell" id="cell-id=4edddcaf">
+<div class="jp-Cell-inputWrapper" tabindex="0">
+<div class="jp-Collapser jp-InputCollapser jp-Cell-inputCollapser">
+</div>
+<div class="jp-InputArea jp-Cell-inputArea">
+<div class="jp-InputPrompt jp-InputArea-prompt">In [9]:</div>
+<div class="jp-CodeMirrorEditor jp-Editor jp-InputArea-editor" data-type="inline">
+<div class="cm-editor cm-s-jupyter">
+<div class="highlight hl-ipython3"><pre><span></span><span class="c1"># YOUR_CODE_HERE</span>
+
+<span class="c1"># SOLUTION</span>
+<span class="n">T_left</span> <span class="o">=</span> <span class="mi">38</span>
+<span class="n">T_right</span> <span class="o">=</span> <span class="mi">25</span>
+<span class="n">T_initial</span> <span class="o">=</span> <span class="mi">7</span>
+<span class="n">L</span> <span class="o">=</span> <span class="mf">0.3</span>
+<span class="n">nu</span> <span class="o">=</span> <span class="mi">4</span><span class="o">/</span><span class="mi">1000</span><span class="o">/</span><span class="mi">1000</span>
+
+<span class="n">dx</span> <span class="o">=</span> <span class="mf">0.02</span>
+<span class="n">x</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">L</span><span class="p">,</span><span class="n">dx</span><span class="p">)</span>
+<span class="n">n</span> <span class="o">=</span> <span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
+<span class="n">dt</span> <span class="o">=</span> <span class="mi">50</span>
+<span class="n">m</span> <span class="o">=</span> <span class="mi">200</span>
+
+<span class="n">T</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="n">m</span><span class="p">,</span><span class="n">n</span><span class="p">))</span>
+<span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">,:]</span> <span class="o">=</span> <span class="n">T_initial</span>
+<span class="n">T</span><span class="p">[:,</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_left</span>
+<span class="n">t</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span><span class="n">m</span><span class="o">*</span><span class="n">dt</span><span class="p">,</span><span class="n">dt</span><span class="p">)</span>
+<span class="n">T</span><span class="p">[:,</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_right</span>
+
+<span class="n">C</span> <span class="o">=</span> <span class="n">nu</span><span class="o">*</span><span class="n">dt</span><span class="o">/</span><span class="n">dx</span><span class="o">**</span><span class="mi">2</span>
+<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">m</span><span class="o">-</span><span class="mi">1</span><span class="p">):</span>
+ <span class="c1"># Building matrix A</span>
+ <span class="n">A</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">zeros</span><span class="p">((</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">,</span><span class="nb">len</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">-</span><span class="mi">2</span><span class="p">))</span>
+ <span class="n">np</span><span class="o">.</span><span class="n">fill_diagonal</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="mi">1</span><span class="o">+</span><span class="mi">2</span><span class="o">*</span><span class="n">C</span><span class="p">)</span>
+ <span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">)]</span> <span class="o">=</span> <span class="o">-</span><span class="n">C</span> <span class="c1"># Upper diagonal</span>
+ <span class="n">A</span><span class="p">[</span><span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">),</span> <span class="n">np</span><span class="o">.</span><span class="n">arange</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">3</span><span class="p">)]</span> <span class="o">=</span> <span class="o">-</span><span class="n">C</span> <span class="c1"># Lower diagonal</span>
+ <span class="c1"># Building vector b</span>
+ <span class="n">b</span> <span class="o">=</span> <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span>
+ <span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">+</span> <span class="n">T_left</span> <span class="o">*</span> <span class="n">C</span>
+ <span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">b</span><span class="p">[</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">+</span> <span class="n">T_right</span> <span class="o">*</span> <span class="n">C</span>
+ <span class="n">T_1_to_n_minus1</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">linalg</span><span class="o">.</span><span class="n">inv</span><span class="p">(</span><span class="n">A</span><span class="p">)</span> <span class="o">@</span> <span class="n">b</span>
+ <span class="n">T</span><span class="p">[</span><span class="n">j</span><span class="o">+</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">:</span><span class="o">-</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="n">T_1_to_n_minus1</span>
+
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">0</span><span class="p">,:])</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">30</span><span class="p">,:])</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">plot</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">T</span><span class="p">[</span><span class="mi">199</span><span class="p">,:])</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">xlabel</span><span class="p">(</span><span class="s1">'x'</span><span class="p">)</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">ylabel</span><span class="p">(</span><span class="s1">'T'</span><span class="p">)</span>
+<span class="n">plt</span><span class="o">.</span><span class="n">show</span><span class="p">()</span>
+</pre></div>
+</div>
+</div>
+</div>
+</div>
+<div class="jp-Cell-outputWrapper">
+<div class="jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser">
+</div>
+<div class="jp-OutputArea jp-Cell-outputArea">
+<div class="jp-OutputArea-child">
+<div class="jp-OutputPrompt jp-OutputArea-prompt"></div>
+<div class="jp-RenderedImage jp-OutputArea-output" tabindex="0">
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"/>
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+</div>
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<div class="jp-Cell-inputWrapper" tabindex="0">
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@@ -8658,11 +8916,11 @@ $$ u(L,t)=25+10\sin\left(\frac{2\pi t}{T}\right)$$</p>
article { position: relative }
</style>
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-<img alt="Creative Commons License" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png" style="border-width:; width:88px; height:auto; padding-top:10px"/>
-</a>
+<img alt="Creative Commons License" src="https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png" style="border-width:; width:88px; height:auto; padding-top:10px">
+</img></a>
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-<img alt="TU Delft" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="border-width:0; width:100px; height:auto; padding-bottom:0px"/>
-</a>
+<img alt="TU Delft" src="https://gitlab.tudelft.nl/mude/public/-/raw/main/tu-logo/TU_P1_full-color.png" style="border-width:0; width:100px; height:auto; padding-bottom:0px">
+</img></a>
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--
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