{ "cells": [ { "cell_type": "markdown", "metadata": { "hide_cell": true }, "source": [ "Make me look good. Click on the cell below and press Ctrl+Enter." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hide_cell": true }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "HTML(open('css/custom.css', 'r').read())" ] }, { "cell_type": "markdown", "metadata": { "hide_cell": true }, "source": [ "
SM286D · Introduction to Applied Mathematics with Python · Spring 2020 · Uhan
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Lesson 14.
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Working with images in Python

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## This lesson..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The bigger picture\n", "- Binary numbers\n", "- Digital images: pixels, 8-bit images\n", "- Images as matrices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The bigger picture" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- In the next lesson, we will learn how to perform __steganography__, or the practice of concealing messages or information within other nonsecret text or data.\n", "\n", "- In particular, we will learn how to hide a secret image inside another image.\n", "\n", "- To do this, though, we first need to learn how to work with digital images!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Binary numbers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- First, some background on binary numbers.\n", " \n", "- Figure 1 below shows how the number 1729 can be written using a decimal, or Base 10, expansion." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Drawing\"\n", "\n", "
Figure 1. Example using Base 10 to represent a number.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- __Binary numbers__ are Base 2 numbers: each digit can be 0 or 1.\n", " - In a binary number, the digits are also referred to as __bits__.\n", "\n", "- For example, $[1001]_2$ is a 4-bit binary number. Figure 2 below shows the Base 2 expansion of this binary number." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Drawing\"\n", "\n", "
Figure 2. Example using Base 2 to represent a number.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Based on the expansion above, the Base 10 equivalent of $[1001]_2$ is\n", "\n", " $$\n", " (1 \\times 2^3) + (0 \\times 2^2) + (0 \\times 2^1) + (1 \\times 2^0) = 9.\n", " $$\n", "\n", "- In a binary number, a 1 is also known as an __on bit__ and a 0 is also known as an __off bit__.\n", "\n", "- We index the bits from right to left, starting at 0.\n", "\n", "- The leftmost bit is the __most significant bit__. The rightmost bit is the __least signficant bit__." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Digital images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - Digital images are really just a collection of picture elements, or __pixels__, as shown below." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Drawing\"\n", "\n", "
Figure 3. An example of a digital image made up of pixels.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Each pixel contains color information for the three primary colors, red, green, and blue.\n", " \n", "- In an 8-bit image, the total number of shades for each color is $2^8 = 256$.\n", " \n", "- Figure 4 below shows an example of a pixel and its associated color information stored as 8-bit integers." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Drawing\"\n", "\n", "
Figure 4. Color information in a pixel, given as 8-bit integers in binary representation.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The pixel from Figure 4 is shown in Figure 5 below with the 8-bit integers given in their binary and decimal representations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Drawing\"\n", "\n", "
Figure 5. Example from Figure 4 with 8-bit integers given in both Base 2 and Base 10 representations.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Images as matrices" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- We can represent the image shown in Figure 6 below as a 3-dimensional NumPy array with dimensions 252 x 447 x 3." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\"Drawing\"\n", "\n", "
Figure 6. Representing an image as a NumPy array.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The code in the cell below reads the image file `GooseIsland.jpg`, stores it in a variable called `goose_island`, and plots it as a Matplotlib figure.\n", "\n", " - _Note._ You may have to run the code twice to get the image to appear." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib.image as img\n", "\n", "# Read the image file called 'GooseIsland.jpg'\n", "# Store image information in variable\n", "goose_island = img.imread('GooseIsland.jpg')\n", "\n", "# View the image as a Matplotlib figure\n", "plt.imshow(goose_island)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- We can access the information stored in a single pixel of the image like this:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([171, 195, 219], dtype=uint8)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Get information about pixel 50 rows down from the top of the image\n", "# and 75 columns from the left side of the image\n", "goose_island[50, 75]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- The resulting array contains the red, green, and blue color information for this pixel, represented as 8-bit integers in Base 10.\n", "\n", "- The color information is actually stored in memory as __unsigned, 8-bit integers__ as indicated by `dtype=uint8`.\n", " \n", "- For further information about the uint8 data type, see the [NumPy documentation on its data types](https://docs.scipy.org/doc/numpy-1.13.0/user/basics.types.html).\n", "\n", "- We'll come back to why we care about representing the image color information in Base 2 instead of Base 10 in the next lesson." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classwork" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 1.__\n", "Go through the examples below. The examples demonstrate how images can be represented as $m\\times n \\times 3$ arrays of numbers between 0 and 255. After this brief introduction, you should be ready to tackle Problem 2. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Start by defining M1 as a 3-dimensional array of size 100 x 100 x 3 of 0s\n", "# Make sure the array consists of unsigned 8-bit integers with the keyword argument dtype='uint8'\n", "# Resulting image is 100 pixels tall and 100 pixels wide\n", "# The last dimension is size 3, to represent RGB (red/green/blue) levels\n", "M1 = np.zeros((100, 100, 3), dtype='uint8')\n", "\n", "# Since all color levels = 0, we get a black box.\n", "plt.imshow(M1)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Start with 100 x 100x 3 array of 0s\n", "M2 = np.zeros((100, 100, 3), dtype='uint8')\n", "\n", "# For each pixel, make its red value 255\n", "# Note that we can use slices instead of single indices\n", "# Below, we're changing the value of M2[i, j, 0]\n", "# for i and j both ranging between 0 and 99\n", "M2[0:100, 0:100, 0] = 255\n", "\n", "# We get a red box\n", "plt.imshow(M2)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Similar to above, but with green\n", "# What's different about this code?\n", "M3 = np.zeros((100, 100, 3), dtype='uint8')\n", "M3[0:100, 0:100, 1] = 255\n", "plt.imshow(M3)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Similar to above, but with blue\n", "# What's different about this code?\n", "M4 = np.zeros((100, 100, 3), dtype='uint8')\n", "M4[0:100, 0:100, 2] = 255\n", "plt.imshow(M4)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We can mix colors: red and blue make purple \n", "M5 = np.zeros((100, 100, 3), dtype='uint8')\n", "M5[0:100, 0:100, 0] = 255 # red\n", "M5[0:100, 0:100, 2] = 255 # blue\n", "plt.imshow(M5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The code below is a bit more complicated. It draws the flag of Ireland (pictured below).\n", "\n", "\"Drawing\"" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "(-0.5, 299.5, 99.5, -0.5)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Ireland\n", "# Green: R: 22, G: 155, B: 98\n", "# White: R: 255, G: 255, B: 255\n", "# Orange: R: 255, G: 136, B: 62\n", "\n", "# Start with 100x300x3 array of 0s\n", "ireland = np.zeros((100,300,3),dtype='uint8')\n", "\n", "# Green goes in the left third\n", "ireland[0:100, 0:100, 0] = 22\n", "ireland[0:100, 0:100, 1] = 155\n", "ireland[0:100, 0:100, 2] = 98\n", "\n", "# White goes in the middle third\n", "ireland[0:100, 100:200, 0] = 255\n", "ireland[0:100, 100:200, 1] = 255\n", "ireland[0:100, 100:200, 2] = 255\n", "\n", "# Orange goes in the right third\n", "ireland[0:100, 200:300, 0] = 255\n", "ireland[0:100, 200:300, 1] = 136\n", "ireland[0:100, 200:300, 2] = 62\n", "\n", "# Show the resulting image without the axes\n", "plt.imshow(ireland)\n", "plt.axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Hint._ For more complex colors, to get the necessary values for red, green, and blue, do a Google search for \"RGB color picker\"." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 2.__\n", "Write code to display a $101 \\times 101$ white box." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution 1\n", "M6a = 255 * np.ones((101, 101, 3), dtype='uint8')\n", "plt.imshow(M6a)\n", "\n", "# Alternate solution\n", "M6 = np.zeros((101, 101, 3), dtype='uint8')\n", "M6[0:101, 0:101, 0] = 255\n", "M6[0:101, 0:101, 1] = 255\n", "M6[0:101, 0:101, 2] = 255\n", "plt.imshow(M6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 3.__\n", "Write code that uses appropriately sized arrays to display the flags of the following countries.\n", "\n", "Italy\n", "\n", "\"Drawing\"" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.5, 299.5, 99.5, -0.5)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Italy \n", "# Green: 0, 146, 70 (R, G, B)\n", "# White: 255, 255, 255\n", "# Red: 206, 43, 55\n", "\n", "# Start with 100x300x3 array of 0s\n", "italy = np.zeros((100, 300, 3), dtype='uint8')\n", "\n", "# Green goes in the left third\n", "italy[0:100, 0:100, 0] = 0\n", "italy[0:100, 0:100, 1] = 146\n", "italy[0:100, 0:100, 2] = 70\n", "\n", "# White goes in the middle third\n", "italy[0:100, 100:200, 0] = 255\n", "italy[0:100, 100:200, 1] = 255\n", "italy[0:100, 100:200, 2] = 255\n", "\n", "# Red goes in the right third\n", "italy[0:100, 200:300, 0] = 206\n", "italy[0:100, 200:300, 1] = 43\n", "italy[0:100, 200:300, 2] = 55\n", "\n", "# Show the resulting image without the axes\n", "plt.imshow(italy)\n", "plt.axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Belgium\n", "\n", "\"Drawing\"" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.5, 299.5, 99.5, -0.5)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Belgium\n", "# Black: 0, 0, 0\n", "# Yellow: 250, 224, 66\n", "# Red: 237, 41, 57\n", "\n", "# Start with 100x300x3 array of 0s\n", "belgium = np.zeros((100, 300, 3), dtype='uint8')\n", "\n", "# Black goes in the left third\n", "belgium[0:100, 0:100, 0] = 0\n", "belgium[0:100, 0:100, 1] = 0\n", "belgium[0:100, 0:100, 2] = 0\n", "\n", "# Yellow goes in the middle third\n", "belgium[0:100, 100:200, 0] = 250\n", "belgium[0:100, 100:200, 1] = 224\n", "belgium[0:100, 100:200, 2] = 66\n", "\n", "# Red goes in the right third\n", "belgium[0:100, 200:300, 0] = 237\n", "belgium[0:100, 200:300, 1] = 41\n", "belgium[0:100, 200:300, 2] = 57\n", "\n", "# Show the resulting image without the axes\n", "plt.imshow(belgium)\n", "plt.axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chad\n", "\n", "\"Drawing\"" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.5, 299.5, 99.5, -0.5)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAAB+CAYAAACHx8KbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAB+ElEQVR4nO3aoQ1CQRRFQZbQCh6LpBi6wtMKjmLwLBWAgOT8kD9j11x18sSOOecGgMZ26QEAayK6ACHRBQiJLkBIdAFCogsQ2n16HPuz/2R/7Hm9LD2BL91Oh6Un8IPj4z7evbl0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCIkuQEh0AUKiCxASXYCQ6AKERBcgJLoAIdEFCI0559IbAFbDpQsQEl2AkOgChEQXICS6ACHRBQi9ALvgDfcBVaKcAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Chad\n", "# Blue: 0, 36, 100\n", "# Yellow : 254, 203, 0\n", "# Red: 198, 12, 48\n", "\n", "# Start with 100x300x3 array of 0s\n", "chad = np.zeros((100, 300, 3), dtype='uint8')\n", "\n", "# Blue goes in the left third\n", "chad[0:100, 0:100, 0] = 0\n", "chad[0:100, 0:100, 1] = 36\n", "chad[0:100, 0:100, 2] = 100\n", "\n", "# Yellow goes in the middle third\n", "chad[0:100, 100:200, 0] = 254\n", "chad[0:100, 100:200, 1] = 203\n", "chad[0:100, 100:200, 2] = 0\n", "\n", "# Red goes in the right third\n", "chad[0:100, 200:300, 0] = 198\n", "chad[0:100, 200:300, 1] = 12\n", "chad[0:100, 200:300, 2] = 48\n", "\n", "# Show the resulting image without the axes\n", "plt.imshow(chad)\n", "plt.axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 4.__\n", "Write code that fills in the $41\\times41$ center of your $101\\times101$ white box from Problem 2 with a red box. Display the resulting image." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create 3D array representing white box\n", "M = 255 * np.ones((101, 101, 3), dtype='uint8')\n", "\n", "# Make the center pixels red by making the green and blue values 0. \n", "# Note the use of the slice `1:` - recall this accesses indices starting at 1 up to the last index.\n", "M[30:72, 30:72, 1:] = 0\n", "\n", "# Show the resulting image\n", "plt.imshow(M) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 5.__ \n", "Write code that draws a solid blue disk inscribed in a $101 \\times 101$ white box. Display the resulting image.\n", "\n", "Take some time to think through how you ought to do this question rather than just jumping in to try to code it up. _Hint._ Can you find the distance from `(50, 50)`, the center of the box, to the point `(i, j)`?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Distance from (50, 50) to (i, j) is ((i - 50)**2 + (j - 50)**2)**(0.5).\n", "# We want to draw a circle of radius 50 centered at (50, 50).\n", "\n", "# Initialize white box, 101x101 pixels\n", "M = 255 * np.ones((101, 101, 3), dtype='uint8')\n", "\n", "# Loop over all the pixels in the box\n", "# Color the pixel blue if its distance from the center <= 50\n", "# Otherwise, leave the pixel white\n", "for i in range(101):\n", " for j in range(101):\n", " distance = ((i - 50)**2 + (j - 50)**2) ** (0.5)\n", " if distance <= 50:\n", " # Want point to be blue, so turn off green and red\n", " M[i, j, 0:2] = 0 \n", " \n", "# Show resulting image\n", "plt.imshow(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 6.__\n", "You should have already imported the `image` subpackage of `matplotlib` as `img`. Use its `imread` command to read in the file `herndon2019.jpg` (in the same folder as this notebook) and store it in the matrix `M`. Display the image to reproduce the image below.\n", "\n", "\"Drawing\"" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "M = img.imread('herndon2019.jpg')\n", "plt.imshow(M)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The matrix `M` is read in to memory in __non-mutable form__ — that is, we can't change it. But in this question we want to modify the image! \n", "\n", "Here's how to do that. Make a new array `N` that is the same size as `M`. Now set the values of `N` equal to the values of `M` **using the slicing notation** as in the code below. \n", "\n", "(Note that this is similar to the technique we used to copy lists — see PCC page 63.)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# Get dimensions of M\n", "h, w, c = M.shape\n", "\n", "# Initialize matrix N to be an array of 0s, same dimension as M\n", "N = np.zeros((h, w, c), dtype='uint8')\n", "\n", "# Copy each entry of M to N\n", "N[0:h, 0:w, 0:c] = M[0:h, 0:w, 0:c]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the slicing notation allows us to change the values of `N`. If we'd just written `N = M`, then the values of `N` would __point to__ the values of `M`, meaning we wouldn't be able to change the values of `N` either, because that would mean that we'd be changing the values of `M`! " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now change the values of `N` as follows.\n", "\n", "Erase the green layer by setting all of the green values of `N` to zero. Display the new image." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Erase the green layer\n", "N[0:h, 0:w, 1] = 0\n", "\n", "# Display the image without the green layer\n", "plt.imshow(N)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Write the new image to the file `herndon2019-g.jpg` using the code below." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Save image to file\n", "plt.imsave('herndon2019-g.jpg', N, format='jpg')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 7.__\n", "Load the file `Reynolds.jpg` (in the same folder as this notebook) into a 3-dimensional NumPy array `M`. Create three 3-dimensional arrays, `M_r`, `M_g`, and `M_b`, which are the red, green and blue components of `M`. For instance, to make `M_r` you should set the blue and green components of the image `M` to zero. Then produce a 1 $\\times$ 3 figure of the components as shown below. \n", "\n", "\"Drawing\"\n", "\n", "_Hint._ Recall `fig.add_subplot()` from Project 1." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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AL6L7V5BJtj7E2zsh+QIKe3wiXuuKey8n5cv4uOZ4JBPGItIaTzpqtlo7Yo+Wc45FtwZMPbvORuE2ZKitfSJq/rb1e6TlDkZCYg1CbDMKw61GfDEZWa9b0UTTEaR1eyyy9m5BgLk2DtqBEP8WBNSd4p4GsjV3gWh7GiKMG5AnugRZorsgwbgsAGDZYAPixvh9IHKxHkTAc0jgGFI29CHCmEoi9hwUb7b7shwRbRH33jn2Mhkhtg0hdjKJwGlxvc0oXu38Smu8Zw06ImBrN66HTFwM+roFCbFjyIAzSEstRNT6CYSQ0+P9A2JTVyMtOAllMuYgwN+OAPIY8C2k4UpkvVq42yoEAWE08I+IY34ELIq/v4kQewhCykJScHne/Fmxnw8hDvxd3KMJccVRSKCWcY7NiEimV75/KkJII5Iai+P/3ZCAXk0it0CmkKVGO1km0EnGu7rjfnblnKFxYLAlXnuApyx0lyOnxMd6GBnei+KSNyB6bkQgnoXQ8nIy7rkA8e2diMbvR7nPNyL+HYZIYzoZNampHM95yQmx2efFPX+KvNJHAlzNCNWujlhBWpsgXXcNQtOEuD6IH+6PvftedyFLflJ8ZmKcp7typi2IXEbGfubE6y+Mfc5EJLIRoWNt/N+IUGnDcRyZUrDn6UqOblTd8cftEfO3rsUoHHcBErgPo5DcIwiIt6MqgqlIeGyLwx1PWnaPIEH3CAobjkUGySsRMh1jnUEC25nEBjJY7WT3K5Db8m8ouP947KER8UBrfH8dApLXXUjO9MYenLwagYjuQDLH4RxKFbH2MtcGHNbF56bEGZqR+/T82PtusecNCLErSDfGro+9TGdPx5NeqEt32pDxNuhrCfIBX40QfR1C3II46FykPXYh62pWIQLoDgBchtyhO9Bj7O5DGva1SMNNjoPsQ8ZnqsE3ZyxsNb4XZTfPQJUMV6DY7GgUdN+fJAgLvjqkvR+La7WR7sEkhPQjSDdqVXx/Zny/6nsuQ1puLeL2++M+I+IMuyBGmIWQ2YmQtSp+t8S1HQIZSwYKm0gCsEZtI/3pJ64Bha7zgAtii82oGmh/JPfXIaNiL4QWg/18pMdWIj5qjM9egFA1H/Hm+5HwLWObWxEd27Gw4O1ACuCF8d0jUcz1NDL3uDtSCLug+OzEyvdvjP04nzEnzrZ73HsEov974wytSCGA+OMUpHOdVpgRf7eT4f4VCK1O/j0PCfeNyGNuJMN4zYh3W0lnrjH2YaFrWdOEyGJQl6sCFpIe0T8jRHYhZDmUZuFZIKBMRPR0V7zvRFN7HObDyL05AdFka3xmWFzbyaQ60m0/GPHWGxA/fjL2chQS+i9ChtrPEYBsXN1GCtVmpADqScQehWTOvfF/CwpbgJB2KoqBDQuYzECazy5JN9KuDyDk9iHh6wTEQ6R71hJn3R0hsg0hz2GGMQGvesTTzSjxMOjLSZxNcaPRCMD7kVmPTfH/PQihm9GAtwmIkx9B5sSmeL0LcfJrkQA9iUy2OYPRQ5pJNXHN7rjPSBQTOhcRyH5xrYnx+wgUFqlmL25CFnh7XPcBMi5UIqXyuziDrfkqcs+KnxaE4L2Q0N1CJvM2I5NmYlzzgIDBMCSsbVm7ZK4VIdGp9QIheET8tqnk++14DZij2Yb0kK25HyId+obYtiM91yEeuxbRZEOAyvmDbpQIfzjA8WMExtfRX8DWkW5+DRkadE71IjJidFy8vySu21C55k0BwtVx7ZegUIbjvy9BgmwMGZk5FAnWDyA+XEt/b9aVUmu226/5agTi11EIrZ8JGNhBgSRP6//J8b7LYi3UW8mCnUYyjDhoaxsSVi40/hFC7HFII01FYYfH4nN/QgBaivjQJvv6OMg5SACdQsZcjVhnMZ2ILirfHxH/X4IAvT9CQh3i+3tJF/0wxF8uDSP2dC6q8mlAwnkPBDgbIEfF2U5BWto1ivaIt8WZnJGtVkY4TzKK9EA/HWdqQwg10nyu8YgQxsTPaETERmgTWYk16IglNnUootD5yM/8Zmz8dmSWrEdc8j4E6L0QcrpIN3kjMg2uQFroZ3HIt5AZTMdubO06cUUcsBmZWjWI676FEP8gQqZjrm9C3FItiXkxsri/hzjoULKmuCm++xoU//1sXHszWT1A7KUrrm1ud6JgVOV3LTLr/hUhdxRCfnPAwtUVoxByx5KIHk7GjpwGH0G6U09cA1q6p5CCZDSq/lmH8oOfQjxZE1v/bdzu93H70bH9g+Jai2L75tnfxd8+nquMbJ268m1b/N+KLGeXZE+Pe74yQLoH8gJvJIthqoezQP9PxDubEemchcjwQSRoL0dxapd8eoz9ZKRcJsTZViFSdCK9hqxOsmNydZzbVUP1cb6CROeI2JvLzDYhOeYQy3CehnzLJ+NApqEfIlP9cwjpzhaWSKBNRoAtkUDejNyNjvieq2dGIK9vDlnY7OSvSzQg4zim5SVkrHUXJA8Oje88H1nkd8V+XQfrZVf9V0gjrkeE93VkFD0Q1/ktim+1I4S4hn4CQqyF5DIyn+PSsYORlm5Esug3iEdtsdrDrSXDJRbULm1xWMUeuIl70Ne3kZ81EnHHKxEQ3gx8NQ73VqQlL0SIuza+O4ws2nQcs4X0/34br40hy6OqlQuQNYOucX0ACfcelMCajTIxm2Ofyyvfsza02dWOCOJ8BLyNsb+z47vz47WbUdJuPTK1nIFpQhZDPTL7Ho99N5HC9OB4DxSOuZ60EBxLcyhhWMDBtYZ1ZNLMIQgXqT55+nvA5ohfFkXZUgEjcckN8f8aRL/Wb99BNFwTtzwACZGjUGJ5KeLRxaQQ3A8J8fFk9Y8ri1zu1UtWNvwKhf9AtN2K0FaDyKuJ1L2OD4OaoSYh3flIgK8b8cbcCshehtAwDgnOtyBUzkKphfFkTHg94jNXBjUgvl4f91qBQguPkrkU1yVXhW4raSfUIJROj886If76wWyOuLEoaUYANmJr40bdiG5dHdOLrMluBPg/Iot0fQBkNiKELhRDrUfC5DVIuLvCwXxoI6QrXnd89+fxHQuuFqRl65CVa0/W/G1ofAsB7BeIB62lRiHA2214FVlJsQyNN1+CtPUrkCadirSkq4tcRD0MGYpbkEZcifh3HpI/Tti5acR1zdXa/J64xySy3G09lK8Y7OYIynT9zdsFEmAbkQZrRIJqEYrR1iOB+BiKeayI3wvIZ78+grhxLQLeD+MwVeTafDL3uQfzPOCfEEEVJNeMIP1o77MKjnMRMH+CkOa4bnPsYxcE1JciK2AekgZvRZb0i+O+TchKfpAsL3EhaBsys1xS47q/hQiJDgw6rmyNamXk1iZ/1qbjespy5g5xO6DQvSzagOtIweccn5X3hwME3QECF1FsIhNBI5ExUYcE2h3Iwnx5XOMHARLnMG0guGnATo+9wdo46rDKEUG80IFI44DtzjIDJd+WIb3+4nh9OOLNuXEtg+4AJEs2I9vBsePxpP7rJMnI+cwD4hwfRagbhmTBHSgE2RrftZFnNJpFWsgEWy9ik1XA6wZT6N4uvP4PwJvIkikL4uMR4jYj/ltD/3jKsYhnro3vvBEZFSegBHiJ4kEzK/dxvb2t3x6yA9UtvJ1kKM3NPutjHx1I4LsLDQS8C5Amt4XsBNjcOFcdEv4tyJNeFNf7PPJ63XJoF8v5mhrE0w1I8DcgxK6O6z9GJh2NWJegjYnXrCxqybBDDf9jlJUvfzqErpe5aRVCYGNsagZpGu2BuNXaoQnFbOtQGYlLrB5FpsvB8bnbEddaOtg1sBC29izIpne7/tsQkDsR125ClH4o/ZNpXUjg3oME5kFIArUhxG5AHDsr7r8Lsqw3o+zuCSj22xXf6SLNuFoy3nNk7P0d8V0HSG9DyHYdodPgY8m4bldcz+lw4nzrKMudd4jbAcMLlvGuhmtBVt4GhLr743NjyFjkO5F+Gol00XLg7gCLn8fyRbLCrxkVsFxG/y7xPrLSroFElz2/WrJM2Yb+qADj6vju+ADpSlLYHhKfm4l0+DLkOU4mrUontqYh4+ftSEgvjzPuhQpo7kZ8ZwNsMuLN8aRMGIbkxP7Iav4kUhImz2ayr8X5GHsBth8GPbxgzVggo6YeIdaxn/tI4+MfEf19DFUYbYvv/BHx8S4IcO+Iw7yI5JmTkLfWRFp7VcRWk9xuTCjJpgULaofKlsbnRsf/yxBSbkBhCBNALSLSFyIkusO1Ja69O/JAP4os4BUBk32QHLkOJQqIPUxHBDuKbIJoJRHbgYylLrIY2+FKC11XXJjAXfg+6MtCywXUFhQuTLyRdDEOjfc+jLIZrQgYV6NA4nSE3O8gl/4gEimHIMtyJKmp7ZvaCjQRWSib8ByobyU5dw7ZVFGQE1zuQUS2CCF/MkLmS5D13RnvOSA3Jfb95bjeIoSMPZBf/V/IijVnzURWQjOp5d2e9WqErB+R1q073pyNdtzIfroTiU9uzA5o6f6qKEpfbgGi1Q3x2wJ1DYoUOY9wHir1nBV/1yH6/jwKyX86rn0r4s/q+kOAsIqqqsNiC3EN2ZHpel57gR6J4SiMhfS9iDcOQnmfveP7fQhV/uwactyFQwm1yIj7FRKqoxAPNsTraxCq68iSufEBh8+RcWgQCZyJUOVQvkP2o5DD5lyL+XsF8MbBtHR/V5SMREB7HNXgbkS0vRW53QtRNrAHaZjPk6VUZyG62gNp0GuQUAYBej/SSywRkLZvfa3Gd20hLiMrCUz7roBw7MXCeCsC2nVILrwQGUXOl/he7fFZu0hTSK+0K876E2TAjUYhjgJZzSuRUdiErNmXIp7/HVJAzsGAmOGM2KNr/yxbWlBYwhUOFrwboDx6sC3du0oJLgN0MmmeNCLrbQ5KGrn/+TQkQCcja3YY4uCPoCD9aXGwOxCgqmsZGbyvNsa75tbIvQeZMCNJs2NHefwuRIx9KIm2CYULvkW6IlYaq0kLvUTI3R9Zopvj9xfjvhNRwq4WEewGJJkaUcLgCMQIf0KpdCsO4vrfQsibhKSCy1YK0k1yR5CyvU8WXhjQ0t2G6K41tv1LxFN1iKbWxtY/EWB5EUo+nxmgOgBZdnfE8T+Nnhz59njPXqZzDQ5J2/i34+KEVoH4py6ufyMqAXctbC9CZy1pDbcgndyG9NVIJBPWkrrfaHTetod0Fq5HcsnOUU/A5HbkdQ+P/U1EVvIWJIRnI/K+B8kmN0xOCxidHPvuQDy6Jd4fGft2wc2TkebftPpQzKMV8dnFqCSqPjawITb3JeBtiBZ/hIyhFUj4nBwHHE12xjh0Vs2FOHxmIDvTb+PIMd0tcfA1CLivCiC4hX4b/dv66lD+ow1p/UeR4TaHrPLZSgbJHauyh30+WQfpSUNLET8eSnac7YYE6vqA2a0IqQ/Ee/7cpIDDJ0nP2eWczojWkfLEnuigrwJl+iYi0+I8lFVsRshaGRs8G/Vnjon3j0GIfy0q5rwM+XT/gHzEl5NBuw5SqBrILp9yXLaK7M74vGsNnaq2O1AllkYyBvMFFJN9HD1z9FKypXBLfHYUIqTNCNGTUbq8gZzCBIo1/RYJ16nx/m4I6euQ334naR1PQUhzDPqjKMtsKdBG1jD1IUL1/EVnYHe8BuTnXlIIrEF8+dp47ei4/Vhk+b4tvrMWhei/jYTJfYin3x7He2mA9lqSD7wR60vTYzVEXz2eq2/GofzLXFLfWYh2BGg+isjHoYTfIk/0VmTM1MTnHkEkaUENslYvjL0uIVueR8Y9/4B4/BFk4T6Oomf1ZBjyvPjcNQHDTqRf3xP7WUq2Ba9BYZyNZFXURiTnBnW5ecCVMrcixE5AsdpNZEnke+PzNyCeuQHxyhw0L+ErZFVOiegWsiGnhmx9rQoaa1Yj2K7MSERUF6H4jbO4NiLcGHQyQuBmJEcuQzLh3jiPNfCCuO5W0psdj8Ij1yBhXY+QMBoRuZXQn+PMtyI+bEaE1I7iZNcgYt8QZ5yMmrVWIoJZjJC6CglsJwlKnibEQjYIDEda8UIU2DoSlX3Z5ZiFhG43AvR8JNSWoRqku5HFtwT5d2W8DpnNtOth7QkpcE0AtuumIpdpFLI+LyJ9TCrf6ULCdhWpPc9GQu4xhGDHo5fG781kRnMGMg8vQO6JwwZtiKQJOigAACAASURBVHjPiXMYeTcgzrV7tBVJlQeQJW3hWY8UwILYx8LY41IkARaSmeiBkTtgeOHnRVHacHfJ9T3I+jsKlVdNiduehQSxnZk+ZPm+n5xIORy59w6NXYoM/qXImKpO5LKVWyAd9CPEZ9PJyFAz0lGeTeJys+qQt3ci3XoJqm7oiv8PJkvNSoSCAgncUYj32+P7VijEeXdDVu7j5HwmN0CNRUbPVXHm5rjXFIT2I5H+bUf2hRua3PLs0k47MOsQ2X93MMMLVxYlVcQ2BABmI0Pg+jjEAlTieTDpFRbIlT8VIdbelZt5euJaL0fCezTKx9SR7ocTS/eiBMCp5NhWJ9v8Xc8+aUEuVVdc6x1IKJ6HirPXIgG6J1IkL4j7XEO25nv+7VpkbL2U9CB3jp+9yU6fUQgRtyNNuTMS1o5DH4YQO4IsbelEiPVENhOrQ6vTyED+SijPHOzwwn2lgNZF9j2ejILUr0HCtEBC9qfImnXHSR9C9rlkr+SYytV7kXZ7EyKOGXEdJ81s/W5DgDoLmV9tSCPad9tCNhw4g/pthJgaRDwPo8LUd6Ik2mKy2t8dbLchiTMBIaIWacd/Q8gqK9dzJtOtUWMRUv+EED0DIWVdnPtoxATDEKIdOvlm7NmhhYK0vnchp8mspyxP+t9XL/yiKEp7Xv72ZmRgjEQ6Ylck4z8ZYFmEBIvdc5dc18f3XSdeE0ceiWaofBEZGJYB5s1tyFq1A1IgL25/spKvGRkb30B6ahPScxcinjsDecpOmq0kW+fHkBUCvUiX3YbyRz9EFu0fUSLNun1XxP8vRgLeBthucc0bAybODTlM2R1n2Z3senM1iMPvkALYxmgt8LnBjum6rs7ob0fx0WFIK01AgPoAosN7UYWCk9S15PhDx3NcMTMeIeVcBKjfkV6XA+6bkCFloNYiIjJinY9ZgwydTYhXL0VzIa5FSP00Irx9kWGyGfHKKDIRXaJcya2o8+4HcZ6bkGVgwbgXsuwPj307tnUAMtRuR0TkpKBDed0Bpz0DfleRdYxVw89JwcogqvIjgy1055WZmWwn+yX/gLjEmdM1yN/aggTRaWSAvSU+O5r+M2WrYYDPx88CcqSThdBNKB5srm9AXH5M/G/3ZiGyKj1T82cI2bcgzvoQAuTk2M9ycqxWB0p0eRzdTQhpP0YE/ADSoL7XPyIfd28kKYy4XZA2XoS40hOOqh0EH0DEUYcyU7Ziq9ULtWQ2SCGJsjx2h7gdMLzQRZZseQhUHTJ0dg9QvC/eexBZZC9GqN6G6NXhAyes1pNVcI/HZz+F6NQywPeqRSipQSH1j8S1LiDDgO9HzsLlZMNDLeKtf0Lx5TZEPhchElmPeOtkEqX7oXLrW+O9h8knS3gW0feRI/EA4usxyMD5E+LLA1E6wvX4Pren/I2J6y8gY9eNZFNTHZm8r9Y/Dxh4fyrL4QC76i6OfgnZtfl2hMA5CFGviUN4xkcPGQ9y+eZSRLtL47UPIOC4asH3qkEGUz1KjH+IbHkEyYN3Iwv51wgB7QGM45Hx8wWE1NFInixBvPBxZIxsIMtqmpBV/DmkEZtjD5678EOEuLuQcB2L5MNDiKBdh/8o6W0W5MCuscjNWcATpzVZIdn7dqa4lqcprrskNr6UHETRhDTJ0XHjE8gpI48gv/UxUoD0kFmSTXGtxQhIrqX5PKJmj1Gscvvv43BXoIRdHxKmfYig9kVAvxZpdrsFJ6H4zLuR8NoVAb4dSYxTEPd7RJalzp1x/d+Qo9zmIg15K+L4K5HJNQVJsHmxjz2RRGong3oNiIA6Ag63x+erCcNhCMmutK8i050GO14D8rPzczaK7JG6AuhYZLmNR4UYr4vtfRPptV8goWyh0kZ2KLvedSEKHVjfeEiTLezbyCKN3eO+r4/3z0S8cxsZXXKEqAZV6v2SlBWfIlGyEIUWziRLxIh7/jPSuXbMuhD6rkR6shM5YZ9DuvMUpBfvR+Q5M856N/0jX0vi+geSpaBO3BnO1f6X7fPAg7bM8LbC/GMP8Q2Ip0YjbXgMouGTkfa7EAHXBcsjyUYAT89bh+K9e5FB8hFkd8gfyXZbt9O/GSH2S2Tg30F6Vy+UyED7DfmIofeRdYMLkJD8AdnuR3zujait8nZkVXchrXsV4r0OxI+nI378F4TYh8ghVqOQlWzvsgchvUQ8bdnjuda+t7tvjNiSp0GbQo4ndAGmtcS42PC7kVU7CpWGvQpppK+hcMB/oniPs/G7kh1Y0+JaPch/HEkOkHD9TifSlK2IGHZDh30bAviHEYAWkZaiub1EQP8PJADbkYLwANQHkIL4BdKO5pQeFDw8EUmJn8Y9JpCP/+lBkuOfAxZvjN8ryKlELUgyQA4H2Rb32Y+Ugm1kgs3+bLVEroaBhO6Alq4vVY1eVL90LhK0Dhd8B3moq+M4nyM9PQtbj5+wBb0O6atdyOepOT9o7+wkhJab4r7PI8uqP02We7nVtlru+TqENjshrljYhiznpcjo+iQ5U/6suEcTQuPViCfn42iNePBLSLD2oJD8r8mYrrtAqyVp3UjwXoocqE2kbdER73ciK3crWen05AGgp7gsoByo9/9e3yafYNKLcg8/jUPviryzSQjJzj9YgNoKXk/OTXGsxBavLcC3xv+z4z77IaC4JbmLnCXqEhcj9mgkpDfF/UeS05I+gFyV85Er1I2Mmc+Sszzfgizk3ZEF2xefWYtKPO+P125H2ddxyCVyWarlmX8WIAK4DRludhNd+ml3x/3lHv4z6KuR/hPjHUx3JvJUJLh6EZWeh3q9OxCV/xCZEs8ja24a4+BOjm1CgPmHeH0GafW5DfYdiIJviAO/CFH/AkRQG5HGM6DsOnWhISAnkQ+7m4YIbhtC6CPkkxs3kyO0PoIs0hOQJt0jPttHaujzyN71B5E14bI2S49a8qFavv5FiMudFbYl4NiUiaKv8v6O14C6ttpI2ITQ4kqCAvHMtbHtI5GFdzxyKu5AntkdiH9bSL1g76sehbwdeXHHmfn46/HavnGUiyt7cxL4osqeHDZ3hKX6t8Pg9nCvQN7nV8kI0SfIebcrUEvwuxAZuC5/HpI7XYg/ryZnStSgHMxGssTUsVoLXvPbXWTOyEYnpLLxcohjUJe7Tfy3gUf8Pglpz4cQYscha/JqZGwcg8IGLyFnD2yfrD4H8aLfc8F0DXKF+hBie8lZKo4ZlciLdAdMtXDbMRgTjGO2jkldhYB6GkJwQcaRGuL3Echa9vi6PhRCcZ3yasRfd5CIvTf+tvB3xYU1pWuCbQU7hFGN6pkgNpMW/KCv4eRTEFro/xSFElH0VcjSfBnitg+gkMANCDg/R5pnHP1bCB30ey8yLyxg15HzGD5FTi9qQH6sE212Ca4mTSPIhndb6W4ysDnnmsO5KMzxvtjbDGRxLyJnQXw2zrMZxam2IaLdlyTElQjJLlh1pYTNpKpb5QqGsXF/E6BbmKqM46Ta9lZM/zVgIu3SoiitrJtQKOF0cvSDb+UcyS/InKJDW+sRf64lrblxZERkGannvE0L9ZPjXqOQbr4M6bl9kee6AjkFbuO3QIU0RKq9IsQ9VgYIt8V705GTdQUyetya/IvYn2dNvzh+u9GpDulK37tAlvRiZPRU99KDwgq/QA7cd3liaM+5KcuU0UghjQPOGuxEmoFeizKTn0f86WR1SRpK55Pt+qazRYhW55GadDzZQjiXrM2tap5aFJqoQUh4RQDlIwGgL5DF4VVL0sthSpeAVpuAlsQeuhHBjUMxsN+SfPUdVOq2EsmKAimPOhSYnxbnnh/3872HI2K4iLQOLItmkdPOriSNJWeSq9ZGiYzDPQTr8tSn42nA9iNXI2B/LTYwi9QEHlP4CYTcWypXeRRpoRnkoAgXJPeSg5f7kHYZhji9E7nwoHDDcSgTciqKWZ2IuOP5JHd0kK74ZhKZNmVsmtxJTryfE++/HrkrzoJ8FimcTShG3YsshG6kTKYhSXYD/QvIRyABfRmpXOxrTkJWwo3kiLpqfM5C2FKmARFhI2X51v99Is3Hb0So6UNC94wAo+cOuC3+WOQpWnCMjP9dVGLB2xvHOZD+bfTmZyfCv0g+Hfy/47q7xjWWoNJSC+tqjqYaD3XowWVZICHbi0huKuK1ryJ9eDjycl180kC21c9GCuTfkVD2e7Pi8yvjzMtJWVHtBTodyYHnk0aaY7nd5MMorTCqT2Qa1OWQQoHiMyXKd3wJJY2d1/ATSk5AmtSlUuMRsJYgl9vC217adLKSofpjT/cr8dm1KOjehxCxARlDryONBbsIBpL37jCDz9GLZMQ2xI97IgL7MeLzlyFtXYdkUS05lc+DMX6IrG7Lo93j8yuQMlpEIsqZ4noUppyJPHLbMHZrLA+2VX42kdnmQV+ell6grGI34t7TkAvzaGxyeRzo0yhwZ2u4FRWGLkZI9jDzO8hgmi3TDfG55YhTpyPLthFpqB+Q5sPj8fPP5HAc+85dZArcEmAFWffjeYXdSJgfiZDzS0RE70Gx44b4Xg8SlmOR6/FnJPx/GtcbhbjQTRZTyETiBlIjgzLKu8b1HX9uJzPR/tvB/M0kgex4DSh0PQp1SXzwW4g37XBA8lInoqVTET/VxHZfg/Iu9yKUTEZenIWgy7V6SAGzhRzM/wWkZ9rJGuAHyUqe+soeqrHcanFLCzkLqI7saiOucyGypN8T+7qLnH3kMIbPOxqhYC0S1CsQed1PVmRY8djQq0GWtK1ul7XaMBwfMNkpzjgeyaDJZAx8UNfWOJCHBn+LzEq6qcBxmQ4yzjmcTEgdh5Jqf4rNO95pTb25cn2Hv1Yhg2gkih19HiF7LEKiYzN7k00VRqJrD6uJBY+U6yBDJo2kBXwl6i77OBKud5ODqraQIQJbCNMRMr+C5MgyZGDNJ+eGOrlvxLqWsAfx8q4of9NITi6bQvaUTyFdvUHPkEJqhkVxsJ8jS7eXFG6m6M1I2JxDBrKOR8Hy8xEn7IUo1uPibCbY7e5GVuJVCIHTkc94BpII4wMQ1yHkT6hcwzEWJ9TsDvQiLbcuzlFP1va6fWk2chc8TPmh+I6tfFue7UgAz0QIPR0piiVxjQfju3fGPTwruAZpbmv70WTG2BatZwa3ko8OGU5msHa8Bozp1sWRv0rqo1GI/7bGpVehWOtyMqb7IeQ+nxMguhPxUj1C3WsCXN1I955Xud82JMiuRIbD7giFdSivuRXpLM9LcfuswxklORW0GmHpJgs7jL56pCROQ6hrQbnOGtRM8XEUJlhGepI7IdLaBZWkfTmutR7x8yIS3fUBr4MQ740i85qjyJECDll6uFbVeWnjaUhy18Yhvk+6AxaEy2NjDyNvy50rJyHE2syvRR7pxtj4aJS9741DvJZ8GIAFuSsFXogE628CGKcg3jiXfOqJB19VM/7Oq0BmRj1OsYxreCbJB5Gr9GsE7LPiet9F7sw8pNkdc56KNOfOKFnxFdJrHkmGG+y2NCLjZyziM2t+E5aNNMhxl9UidE+oH/TVgATmJSQlzkAUfisSQL9G5SMLEEWfgrjrS4hr65E23Ux2lhyBNEY3Mnc2kpO77KL8HCH3heQzY04ni62HI845D2lpB8QdTrDQXUZ2nY0n/eSRZG3jJUgyTEGWeV+caxeyPbKGFPx3I2nyJrLyYgMiql+TwT0nHD0kqFpL5TiuR+N1kxkoZ2egv1/9xDUgP28jH2HTjSImHybDfttQ3ftSsiDD1vE4BGrzyDzEbyNR4thx4K30DzE0IDL4p3h9PTkLqROBqQ4ZZraGi7iXjR2HK20FG1zmy7Z4fS/EWy0IbV9AZHN47NvC/yAyRHFfXHcRMnIOJB0Vz+P+SezlQPLBsi1k5aONNMsQG13+aah8ziHRQV3tyMt0IfApKFg+HiEIlCFdjAD1KtIAcNOELb4HUZH0KDTkYkeIdSxld2QIebLQXqTb1B5/fwHxybi4hkew9ZHuuanW37FsaY2/xyO+akWK40LkHXs4htuGX0J2nzwYvxcgmXFA/PZzzxYipVCLwhTdZKLOiX2HH113v5n+T5awJnVIZNARC7JAl5Lq/L3xMx1plmakLefHpl9Cmi6TkBkFAv795CPLX0lS5xZSI3nI6nEoLvRAXHs3sv12PqL2ryLN63iqtWQ19uIQwxpSm3UiwnON0r/Hnn5CKhNXJyxGWdiTycEb85ECmIMsg2nk6KpWlIC4NL6/DzkBuy4+Y9+5j/7x5wb6B+4taWwl7HgNGF7oRm73qSgqtDWOW6WlVyN07UM+gakOGQvVbuw6ZPFOQXnSbrIaqFq26AYnD09zMulNpJFwIDLS/oiE392xz93pn1vZSvKjcxsHIPKAHFPcjlB1POlgbESx3dmktfxWhIoO5JHvilA1K841CpH2XiiEuB8iFSfGrMdHk46PBasjZY5BWx5WK0gGbbmZ5yyUwNoSB1pLCgJP29qP/g9ZPJ40Bhw6uCk++2s8SjTdfDcneOKWvbCpSGu9nez53hsR2FXI0r4buTtuBzYiHSu1F9iEgH4iAurDiEh64kweT7kqrnMM0qaOFx9PukdnIXnxMyRcd0YKYFa8/gqyc9YKxRnisaQsMdIdBjQB+AzVmNWgrjVIg34Hpb43xt8PxvudyGotydIwC7a3kKaAD+Bukl+RpR2eOjSWnP5sIMxAAu1dyHXyxK+9kV94MRLMV5BDiT0135UFngrkWuF9EKE8gojCAn0d4vxNSFt2xv//hRRCH0rgNcTnv4q49MfItNo39utWwsORiTSMJI6tAZ8x9H8ypGPargF0XNelLE9R6H4mLtm83QcdatiKnIYaFAWyB/gQAqsb51zNMxLlK/5M/3EQpt1esvHIUZHGOKJznONQQ9KnETi/gXjZk8aeh4pVLNgcBnSseAsqvR5PJttGoyIUDzC/GMmgexB6Zse9f4oMqPeQc7oLxMv3kFPDXIHkaiPnTuYGLFrI8aoO04wl5/e6jt6Cd9B58zPI4Gim/6xbzwTYguizFsVvTf93IR6cSlqxTq5dhwyjZeRgJ2f5u8mh4A74+16eQTsVVVF8CdXR/4AkihGoc2Zi5Xp9levb4Pop+aj4eeQTH2yQXIrCm/ch7/TyONcFKMb0ZuTWWJgvQ8g3b/WRc01ckbARyYJNiIAcZ3ZCbwrSxE6cV8vdnhah+xmUnZ9UOYhT0KuJSR7x2aMRsnsQcq8jY64GbjMKuj2ALGjHfGqRAHILcBP5mNUmhJAN8f7hSIvdgAjrTjIO5Bmb65DkcPDeAT0XT5+JNF8zaQWfSnaiXI4siHuR1naDx0Wo6PsQMh5bh5DmshbHgBcFjNxJ4GJzBw+7ENFujP21ka5QF/07+p4cuQOGF+qRkIF0/z9CRmLsmn86LvQiRLvHIuHlpjpPvTS6ro2tfxmBE/o3RUEKWXufft/1t5Alpm71X0tWE3lUxT3xWe95M9KbntnQSHa7fQDp32sQeR1BPsDSXuT1ZLWQSfp9KJ/6VjJ2fGLc23vchnh9JxTP3gcZZDXx2kRyytnMgNkjsXeX1A7aGkZWEVmqu8ukG4XhGsl2/IPj/VcjWrclt5gMnfUh18PdJW6/s8ZzPa89RLtBBmRD5TruUrEGWknWxk5BmurxOIf7pR9FxtQqMkQ4HoUIvoks6OuRtj8KWQSedjQKIX41/QPyJ6Ii8+nx2uiAwe2VvW9DiDQSZyLZVYOMqAlIo9Yiq3kl4m1bLoO+hqGY7g9I3+kMsub1Y7GZ08lB5h9Crk0bAqiLJ6sdV9fHgc9AwK8lS616SGu3DnFKF/kgujZyUoqHoe6LALaCNLMmkRpuONJw7Uggu4jaxaZjURP+OCSQb0US4GiE2P1Rl08rsrjnI0vegcJjkduyX7y2CwqPXIs0qFubH4p9Tot7rgiYTI3Xx8SeSkR8q0h/dcdrQEv362StbE1s34LBSvtD8d57kZB5FNG7m4CWkDxl+b8V8ed/BjgtXG0Ve5ZsI+l5mredk7DHBiIjd5pa3xTx2s6kYbQXQutWsnv65ShOfTqSFZ3x+fuRI9ONwoEjEGpd2PIwye8gmdSD0DUlzmWyc6J6C+LXbuQgufrIedAG8vmk48gmqSt2iJ2/YX0LGUQG6nDEJ+77rkFZxF7k1d2DLMdJCCFuJHLSyLGRLYg3LyEHvrh+fhviJ1u2zppawLk/2zGYGlQqY7PApn9dfH8cidhxKG5kJTAJNUR9BSUa/omsw7sXGXVdKMTQihJui2OfD5Ct+EVcpxcZN+Ppj9gWErF/RjJnZ7LUs4mUEZ5YP4H00gcdsSCz3dPnHWTeNf53YfKHYuPvQcjdgChyGHLTO2KzHou4FVl7V6Csx0IEzDaUECsRgayO61Qzm84uehpJV+zrq2QM19mMZtJdcEx6PBKiG8n64nejhN/hKPDoTO3dyLTZhqSLhy3fFtd8ABGmKziOINucJpKzgY00C9K7Y/9TyFbOYSRnewjI+PjcevJhn09cA1q6ZWzlq+RjbCzQvoj4ZDKy9OYi3eqaVmfijeY+RI+e5tmH9MZsMjfiTjUXkmyJz9o7rBaVQDY3OIpSxH3XkI9734k0kpyMa46/jyNzSstIx6AWRaWeh3j0+XG268ky0UuQ0fM8RCYHBryWId3pcIY/77CDa3inkaQ5LP4eR4bk65E1fDfZnDFoq4ybebbkFFLIfC5uPg1ZenMQfbum1Ynbq+JQZbzeGa/3kU99qbbXNZKutw/kul57ZY6nWKu69d1afiOJqCmIH2qRwvCMzGaUgCjJx2XZ3WhC7th+KDn/QpQcu5GMA/0MyaCDEPEciIyk2+K+S+Ksrv+zRbACIXwaIog+ki/HkUitQxb5g2Qp6KCuFqSBLkTdLAeRqv2LcdBDkLC6DyWjmsjHijchgLgKfxipsSwYd4r31pNPx7VLfl9cwyaae7l7yaLQOvLpn+7ddJlLL5rLOZsUultIzfyvcUZnRqs1hYcj0+pmZMF/G3FuHRKsP0JByRcgN+QVSIE8FNdcQEqRKkGuiTNMQ8jsREhuI+sDLaVmoTi1Jd0T14BCt4NsABoZf7sy7Ztkt3V3HHMZEqyrYhtnIx37cID6EURv5qUN9G8Ptm5xebS9N0/oqpZuOqRnq3QUyueYzx1RWRB7/wLinbnIsq1BKNmEjBwLSJPfW8knL60gn7ztSZ69KCG4FOVpPonklXt35pHNEXZUesl2apewO87cVIEFZKWiewwGddmc70N01EE+e+/HccBRCPg3xiFnIEQOR/W5+yCNZOt1IkJsL1nS6UNDhg0sfGw82aQ3T7v2ryuuDxL8jgk7ZLEovvuvSIDdjyx4d9gtQYrEZVlOCBwfn28mLdj/Rgaaz/IbpIn/EYUGz477tsbne8khGT2kQnF1kl09J0QcOzdBj489PC3NETZBOpD7vZoMil9Mdrd0ohjryvj/DkRx/4aCbfcjBNUhhG6Mwx4d99kQ191ICl2b/o7/HEw2DPhJCy40vZP+U0dsdvXGdycg//PW+OxP4r2TkSRpRyEKmzNjkSK5FyH7oDjb5eTjPzajhOAcFGP6cpy3m6yVsjSq1g31xHknkI0nHXHmEWRZSnd8Zh5pMj5xDRhe8JwA6zq77n4qQhvKsxwSt35jHOdsZEStJivhWshczDyynbibHFZVS8Z+DYZGktZXk2kBR6scbvg9T0w8mT83Ibo/Mvb9KaT31iEh7CqHbUhHLUFovwWR7WgUDZqNKgxXVe57B3LSSlR59WqyZLysnMmFJLbga8iScyclXRVoS9y2wtiBkPRUlvMBzit4A2tITXgkoulhcah5SKh9AwlhA8HTjOYj7eROFiPWc0SMDBcl1wUANpGzq03r3aRmu500ZCC1ch85b/o4hNh/RETijlTX3vUg/luKEPwnxJ+jkRC+E7UiO+60NV5zAuOTKLbk0XCdpHa0gWYrwknCYWTJmxHbQFZgjUdIHvTVgZAzjXS7u5AWWYOAfgjK2I9A1uFK5M6cjbTZElLzurtsC8p2+OkInrRlS9Rca6Tvikyeh8jOr5I0M3oQwZhbzdF2HdYiIL8NIfdQBNClSIHsSWrJ9YhAH0MuybHkU37nI8Ft12QNMhE/SA6WPYO0wqvINRF2k0TqZgj73UauhwKZa5+8Tvcvloz1kTK7ICdgFeRI4make95Ilig6mrOU/q2ujoh8jv5DmOxgWGh6YzWV7zlc7VKqTmS1VhsILeiqCeISWbWdiD87EagfIcOKNsgeJx2Kj5FPhqgm8S5HiXAX1zSQpaifReVi7mSrR+RpI8/GnL1wn8ujWd0mbf3fGLAa1GWgOyEG2ZpaA/xDvNaItJJHyRlITWSzgBFmV9oJZQtQW6eupy0q/zt0MIL+xdRdqERlMwLS9prUP90ofLkahfl6UKWSs7PVspjV8dpWZBE4ju091SDD748IYd67tbHHWq4kRwJ4nGU1mejyFHvmnixmL8AlZDVIkA/6cumVJ/nYgutC6vvQ+JzrVt+IKNcZlHqeGBtqjkO9iYzxbqN/j6U5wUmCTWSjfS9ZZrYZFX77uuZcSxsLuo2o9G0r4tYSCUoXknfGHt1eaev+POSWQfrDNUgobyKTB24j3BLX/wZSVu4EaK5cw4h1qY737sn6njxm164PJUV2vAYUup4db6+oiFsNRy50C4qgzEXh9aUk2EeTHVcbScFktK4hZ01b0FgYGYSmZwvtmsr/DtF1xfUd+jDKrGeMypUIhZ9FJFhFlT/jPM1LkC59GDkrU3iiELfedqrB4Tonp618ekkjx86KZZfJ3A2YG+nf2W1vdcqT4Ocpr/VkCMB0NBwJm0kIsAeQk/mcQKtHntp4UgObZ4p4fy2iX5czOolbDTOYxyyIHfg2MpwQ2Eg+9dfftRHi63Yg+v5yfK5qCVubOjn+BhTPfQy5XLvQv1HBVqtfq+5tEZJRzaRy8gTF6v2cQLBR1E165i7j3II0+a5PzXROjAAAIABJREFUwMwgLHedVIdDDI+fKYjq9kGAu67yXiuK1U6I67ityX5aPbJ4PxYHaidNA8d+jKBOREyO3xq4dmEc2Pc8PpdxOdpp4qlFiD0fhQs8r8HWsq1NuyOvQlLotjgLpKnjsME4EmEOZ8xD8R7f34FG79UEW92/TS5LHxP7ViQZ93gCZrwGFLpTYqtjkX5x9/EUpPPaSXp6KanT/B1X7bmHxbzp1vc5AVK33HeQ3q4TwP6byvEd9vgw2TThxgnzvvXNMPLxXpAywvrLQHCZ6lVx/WtRkuztKPpzGiLlvciEl2ej7Ix4yErGLcQew9xGotDLhqb3MZYkz25SGa0k5cygrZ0RkCbFxo3gnVBuwXTcQz7Urj42NyEOasTaWm2MTS9D2T/Xw24iEWuDwNe2kPLf5qET0ZAdayr/tvbtjT2NJacBGkhVYjERNKL400aUgN8DZX9fgzzLfZC3OjqudXVcdxzZmNSFQqL/j7TGW0hrwstuiondSTQT7gZE/Ot3iJlBWLuTD4+aSD7obT+ETE9J6UExV3d9leQE+mHxutsLG8knbN6GhtbcR46wsvXbQcZgTN0OtHlq11EI+M5uWsMZyAVCxhFk6t3CvVqgbU4BmUbXIyTvRDaGfD/OuB/ZhL8QceQYhEDv7WIUN7ZUsAm3I+S6rndk5fMd5CNONjNQydiAibQzyWSQy5o2kE/IPYYsY94njmcBZsPGAte5vDYyRtmNdNpPEL1/nOQvC2/zkK9noe0a+/mogmL7hJMNkKqugvQ2bblaZ32ZbGKqQ0m5nyChewdyWEbH+WeiHOUVqPT6RNIW6EDG4RsRyr+Ikoet5BwnywcL3AnkDG5347lcfB6KsB3CIK5TSD4hbmiBdB+ycu3azCLb5CEFZ19835UIo8gGhk5kcFyAgPYR0hW3hWuEVi3gDrKlcTHinzZSQFW1j2ndSDaiHYKz9j0DAa8v9nBt7PE9KEg/AwF/E5JTu6HE2p8QQfjaa9A4gdeh8Oc3yGS/YQL9zZixCPEjyES9YbYQRQD2ZZDXCWTg2Y0KK5G1uBQlwqz+Z8aPTXwXQdrfcmfYaNIC7kJU+S8IQV+lv0nRSlay91a+4yA7pCYdS2ZUesnCUgtsS4I+svPL5S19KObzujjfBJQkA8WcrkfIHYWUw6EIEdeS7pD304Pi1a9Glvy55IAN39+KwYTl+lw/VcOdCZsQwS7hyVyZAS1dOwd9lR8/LPGwCvhAJY+/JyMoK5Cecg/JRJKHnMAeFqCykf7D+J5HHNoztB7uJh8U4KiQrWEL2eprRpkFrAtfqjHkVhTntSLoQCR2NRK2u8b+L4/XJ8X3HyJDkxvjWnZialGJ6G4oRLGRDLU7Ru7EtePEtinscTci0l6G0huDuqouvOO7E+IAu8dnDNDZKAdjD/FBJGx2QoCZjoDkwS+t8fdMRHsbUUXE0srBbbBYO1dDcy8mhbqt6GrdnQ2n7T1EB+e99xbUYebJZ66bvRZZ4rMQwC9DiB0T136gclaHERzX6kUy5nmIUG3tGrGuM3a810j1j/dmgfvVJ8HP37Q8kMJ1P+1k7esLSP+vBmUL55ICZS0ZYmgiuz3G0z9EsTPSQkuRD/gYQrZdfyPPGdu1CDi7xR5NAO4nB5kzG8ih6/7ZgMwPt+PabXo7STyb4/flCDHT47rnkRb1wyim5EED1fCDr/FNhFzIcIclkEt+bPlb0NpMdPB0MSL6i3aEHOAvCN1eBEp7lp0I/L9H1Qe/QSFoo8mGU0GOL5xBzqevloOZjq3vnHO9AIXP1pEutqNGtqqHIz6fRYa3bZBUdW7VmjWPOylnPXYsKqP+BOKFhah0HGQkrSN7Y26L/U5AFvZxCJXvIZ+wPRl5lJsCTn8iZ3I7iVb1Nl1m7RCI5YfTH2viZ1CXk7gOEfTGpn+LMo53kg+3643/TSkTSIvwcHLcm3/s6rfGZ1bHzwUIsWvJx9lUy8NAPDgNuUw2uCz8W0lP1FrT2tiujLVeAzJafoEMsgfjx7mNz5KdpPNRMrst7j0fhVjuRY0RljWuFlqFCOZaxKfuZq0mHWytOFnXXXm9Nq6xkaepTreBrNcpEHBHIIF0dvx+ORljvZ8E4mjk2u+LiphtIlnzuKyrlXyg48K47sPIRFhCDmK2NrWJMRqNq+slJ5jZTW8iOdTWgP831zhR9VLUzH9R/GxErU0gibQYAX8pMp32QERlP/WSuMYU8rnlBaq2+AXZgz6MDAZYsLqjbRSJ3KqF4LO7cP2Ja0Ch20A2uo2I38eQkZYCudb15NRNC7xaxGt3IavYsxQczjb/2J2eSCZ6L0EjK+4nn6ptA6kG6bFDSWHbV7lWHZmb9OH2Ifly53jtTGQI3UjOQthAPgetj3zkVhsyAKeQSejDEFk2xDXryD6eybGfX8YelpIy6AAy9uy4rsnLfOnIkUd2jNsxep76cjutB/fujDTILISEJqRJaskHS9r6q0OAehhlHKvxVgPdn21CwF+F6PCXaCjOQ6TgcRYVxA+vpP9gGwtTKwe7M7XIKLEFOZUcP3ccqvdza/xGZIxZKA4nH/S6R3zX2dUXoAaK5vh7YZx/JEJED/mI6g3x/RcjxphENkbYE/aefU5XOPUhoh/0VRMbHR83mI4yH3sgK3AE0jo1CDkWzk4Fb0ZccAxpmjjlC8nhdShWugIB4ptIEN6JfLTlCMmb4mcqIioH8KrdNM5OuoaxJj7vIL8rDk5GMeE5yNRzJnNxZX+O0dYg5bE70m6LAx6zEGG44t6zE1w8fiGp6fdFseU3IDPPsTPHdG1G2t1y0L6Ppzza8QhUn3ovEoR+KoK7p5Yifed4Zl/lu3UBtocR3VrQuuuzWp3nRogZcU2H4h+L740gmxQ/Gu+/m3xorMuj7Uh4ANRMJFi/SD794nsoVrsURYDqyAdoNiIlUot03lRkpW4hnyR+TJxjM9KhOyFBe3/sYaeA04SA1c8RGq+J99bH/hrJFug18Zp1/RrSMfOo2kFdr0D1qXeQg4Tno+DzTghhk0ntYCVug2MiouHH6W+6V5NdRmwPEo73kQMwFiCgjkA8MRp1r2xFfHUKGQ+yO+TgdzeqOjgeuSIFCuF9D2U274sz1aDe7KnxmX+Ksy9FCsfdoLPjmq7534LCKTeTc0PnB1xaEb+uQ2G/S1Hm1cXW08ja42ZSxjlUaS+7O94fdMSCNMDrkDlxS2zabUszEUXvTFbGW7NZ001ABPAoaeb4PZv05uIuZEHeHfe+DwndrXHwPRE3nICI7TDECdV6oZGIo2eQ83OPRtOLmpAUuh7FqH6JzLiaOOc+iBP9qBET4WMICVfGNV+PzLcJcd/rSevAmRRP3F+KgvY/Qdw7FjHIrmTxNeS0NXcxWGsbNk+e/h5Q6NpRORElhgpkNGxCOqwBobMZJY/ehEIJnk9iXllKdmIZvVUTu9qPMg7RtJN2Fsh3xfEvQ/ziTmzHmR3yd7lYDXKivhD/n4SMtu+Ssx6+RDZGjiFnIzlsXyBh+0j8/SrEJ76PQ5zN5PDyx1DbsKNKlyMZ55BGPSIzJ/sbkeyqJycYbiAf6eXOtUFdzka+E7XeOZaxkexmMRJuRJrrkNiU4ze9ZGmFqxCqyehqmKsDCcoliMZXxO96xKOTEaAeJ4fOFOR0eAf07S4dhRDbgBC7L8oTuS7/cwjRjjm7rq8kC6hvQgZZgTTpKPrXJ84h494lCn3uQdZQ/irgMqVyds+vMOwWxX7HkLWNq8nqi0FHLKTf9GmyDcdDZDbERp05uRk1ELjA0cK1oH8LkKndMc7ayv9bkMBcjjhxMWk9z0ZAGYuAMSn2WCLKXksKLFut+5EPojsMcc9xJHL/AQn5erItq4ac6VCDBKbbjF9Kfw5viT1WsyjuWnkcEetFSEvbZXIxeQtZ87yw8rpjwmv4a4axDhheWIwckQUohnspyjMsRjQIoqFfk9UJByMPcSwCcS2irwPo7x1WlyuG7Ny0xvFa4vVPoJDgcaj2/RRyFDJI/9mYtyfcg3SlBd0u9A97TybHHv+/+G43agr8aQBmC2kUvjyuYU93NDJ+GmIvLpjpQsaPh9f8BhlzDmduIQf7rEJKayES1nMC1gvR/JQ6cn7KoK7HERCXImvx4rj50ngPBJwbKwc+BBkgbWTr/VjkrZlXvex12YhqQfzuIemjyTFzN6FY67sQkc0jEftz+nfV2Oj6GVlXP5EshAbx7Ib43K/jta1Iw/5H/N+JEPoGxMO7kjzYFvtrQDxUDZfciYh5FLIC9iGNKg/Y6kUybX7Ach5imoXk8OeagKErQgZ1LUYxlkeQZroUIXcFsl4bENfeTcYsD0GAa0KuQQ3ikFkkYi0q7E6b44cjbTKBrLNz8fSPUF3eiahf264LqL3RJtUIMiZzQ7zv1LMLx2uRhWAteEd8ZwNSMHfGXjtQXOggpCVHxfXsbjjbaU40YfWRCcfliDCWkGU+DfF7MUL6PCQF58ZrS+Nvm4FP3uM9oKV7JYqtvh3lTOYj52BnhMJ1yHP0RErPgffwtiVxnOvQFLKbeWL5lmndIHeTnY31vVGI3O3ru5O8XKCKwVZUFvoJsnvOURknry4mjTrivg6XP4KMPudEGhG5nYOs4ymIt+3AuATcOtL3cIK9QJMEe+Nabud/K3JsZgXsVpN86rI8l7RvJee3LH8S/Dzl9RsUM3ozMnQWoKzfbgixi5H35oTXNsSfY5AHuSSuczOKP80hEeuauBpSE3oi2VhERB4o836yXHJPsmSlDiWx2hAS3LHpbq5qIu1SMjtbF3s9Pz43FwHd2rYJCdjvI0KahGQLlb07vGkhbiPPMdqbyLiQEXtC/N4p3rMHYN523MvF5572v+iJqPnb142I496NkLgy/t8HIXo5yka4/MKNDOORX7ckDn01+SBLSKBXOz9AlOpM40NIA+2NBL/jwQeQiKtF3NaHyjc+SHKAJyC5jMyP4XHwrZ0c1tqJCGgSQsY8xK2/JCeXjCNnidqNcbp9E/3rnWrjPgvifBvjWu+OfU4NmC0iZ4q679blK9UY77InYMZrQKG7ET3q6l8RKp3LWE6CfVZc/uD4/4XkI+tcmXMf6n62QeSj2kuFzBW61AtkFM1Fhv5J5Dzc6kjF/eP+F5L6yKCodpHNQ2RgQVwNQVbLPEFO0eFIdx5NPuKvpvIZSNniM7nUzeebQXbLXo9CL19GZONciisiHfozr9qIq0NsM6irHRk2wxBvtSBgrSKz7uvj5/nx2mEkYucgYTWfnL7l7L2X3Rcn1GzV1SH+vBcR1rvIYnB30PSS2vyH5FRAA6ZK34+Rzz+zRWrE+lpGyJ9RiPBeFFKYS/Ki917NKflerv83EeyOkhV9SFkdjVyk2Ujo+uxGrCs7XE3leLkHTg/qWoc06XAyTdxLBuRclL0SWYJdCCiLySlhE2LzN2x38GomprdyPYcgHDybh7TmCaRl2UNKgQMRtZ9LlnY4OQX908w3kyaOkWXTqdoPejOy2Gej0pWbSK72da2ZjVgrgoJ0p/ZBbkyJTM5XIOTeiqyFag2yy1Psu7rMpozP7ngNGF64jf7zAFySbDC6DNjdYUbLVNIo99jTKUgnGW0GRTUk6NDCWlJ/jEbu+rtRsmokMuQtPFuRDLiF1N1GYVG5h/m0yluOzdpoWo1I9nEU1XkzmZP09x1urFZN+H7VGnmQsB5PNk38CMmHvZEeNim508/GmBvAnCzvZZCXh04YYNYWHaRm89Caz1QOO53MwI+Lv2eQfF0tw4CkzfVxKFcQ1CHBczEKlF8Tn7uXRNJwhNibkVa1IDMynCA2z7hUrcpnLgdZTT7R5SIkC4gzVou3q4YKZAVFtTStL+A2Lu7fjuLHH0GGlkfDNcXfnoHiEhlnRqutloO67kcIXUT6TC7RMpW6I+1TJNL2IU16I3dXchCFhY3NlWp97SiywLkRCe0/oGqFu5BwfJxEruO59yOiMAI8rNjdLebyapKsKjm64rrL4z4XIau6L67fTv9nOxnZtWRyoqqZLYkmxz3XoRrKD8V1p5Km0UgSuR5200gqgidH7oCWbieir4cQ+O0ue5sLUbmiK4/aUVPAcfF9C1sQ78wI8FStXSrX60Hk4FKwVvI5pHuTlTsrAiQfjiPeFt8ZToYSm8lcYrV80oaQUweQvNoYn3kZEo7T4/0ryWpGC3AbUtsLbr/vYhQn31tQcvtdcYbLyBL1cfQPU9jRGY7sEXu6g7Zcr/4YQqyTVDYw5iJ6dplULRoS8+bKZxwqm43caid1DQy7K5434MygATMehc32jf9HkPHkDyEEziHLV3wtZ2R9jz5yBoTDGeZL532aYn9HojDnNNJIu4XkAhtRVQFbrQc2cu1ZO9RYg+JcbSjB5gEkY0nEVjPLjWRHzaCvHmSWzEeWrDmgBiHncQTU0ciXakCVAa8nhauf9HAbIgKPeIQUtjVk15pdAVc/jCJn27rzxL7dyWScZhkisCakGceQI7Lc8mThZUA6BuVJSOb616JA/QvIQOelcc/qDEMjofpD5X27euvIUpZz4hqXkgXjE0gB7GoFS5oN9E9y9F8Dot0JqWVIQPg1Gyt9yClZEce8DwnfZeS4i9GIRlcHOKqufbXyz5btLvS3fBcj1/xmsuz4d3GN/UmjZC8ycWwDqJ7+pc8t5NRPKn87hFcTe9iT5H8QKqsebVXQGv2GiUnbM+X9gJLjYy+nxftfoz+P23N2hZZTHO6/GdRl12UjWadml4M42CJE/52If6chRLtH2cJ4PYopQRomReX/FrKW3gbA+rjm1Yj3PD/ld/HdA0gT34hdSxondglMTH6Kg2nfWVg3StSTD69cVNnfYfRHZG/l/z5SK/rHGrQu9jwWxaZBiO1Byqmh8nlraMg+BSfbB92FgRyzuJZ87rU1pTe0FJk/HWRM9jFyoMxOCGgbkAli6jf3e41AQtkmWYE4cAkKbcwmY1IeKLNXXGMT+RTFReTTEEfFddvIJJunuDgx4PiMLU1317huagQiymr7YzUZ4Jq9qulnqbMFWQhTybnDZ8a1vk5/K7nqR1ub9tI/APrENaDQPT1A14UEH/QvAyZuvQyB7XSyLPLA2M5vycmec8mqIi97iQUC66dIg8UWsJPBFpouPRtGVhidRkZYispnzC9OkrUjMqvWFVeTYm8jn69mlJiXq7LEe7PhsztZ2eRrOzSzO9klW6JcblfAw56Dq/2qUa2qbh/U9VmE0M0ocG3PygfwAZci5H6CnL+wX7x3LTKU+pArZLe/aulao7SiMi4LH2uZFSjU0UhOdId89Jbp3CNKqdzHiTqXWdqTrhaBu2MTlPCbwI4RW03MV8/QQpaP+DsOl9QiWeNJR1tRqKQLuUUeDlJPItaauWqRD/o6GyXOtsTvakDPsVeQYFmAiGFMvDczPvcb0pWZQ2qvapDO3DAaWa/2x8wZa5AgbyKD5D0IYW73/QE5GsuNEUZIC+kDmmurbojbKZchzecHY9lycJCuKk2sfOx2+NEI/ulGEmVUwGISQu46VAu8FVVNwBOtZl/Xe3xyU2lAoes84oq45N70pz/z563x2wZUiXjUjs5+pCCsCi+Hzm1humDF/GoUW1f1kY+68xoX37kH5TLdWb39UxgczXE5s2nfEaSjUJWGSW0kmfegcl8rHYcmpiGDaSz9k22ugZ9C5krryIE/74rP3UXKFye23Vfw/7V3bjF2lWUYfqadU9vpDD1Mj7SVciwFFdBAghAgGMEoeCAiKiaGGEAv9EJjQqJGSe+E4E0TEoWoN0YTA000MVGjFxpOtgXlUAgF2unQsdPz9DBtp9uL93/z/gvoeOHQq/UlTWf27L32Wv/3f+f3+/7TyHbPuKc7QNJep0g/teXRC/4UTScBtEAG+q8n+9gebh21udraRw5nrOEjdeLdsunNtQRZq63IEttjnUNqIc4jT5Ih/vZGzdgbEIKhv1zXzQv+Hg+aemfNZQXyuJe842/OsS0lqQuIgvfpyU+XNbKz5e9xhdfFkBmnATLNZDY5XqaW2tOozD2b5nnxhjqNE+YavlI3UXiRzPTl1c9moitAp0kqwNJxDrJQmxG0zIMqhkhsakRDneeylR1HCzgHtQ96sM8QUpr+7nqzQLTTENIatVRTPcswMgzzqs9MosTpKWTMjHk+SbqA7G24aPneNK3SPYLQN4+jSPBRNKPa6TLf7iRKZY0TpWQWu3h9utzm1wmCzdcwGuchgh2vl8Es7CdbYwEppHnpZqHOub7qcxBZt0ftIMK1o7sRC9ZU3/E0kncv0P00h2PZdl+KdMMNNPWJt+di0tq8kBTiB5CSH0G6zaNjR9EWcxS/p3qOGaPDyMn4JRra/Ru0961c/e9ouXEfP24raPIiH0CdMRBvDuJYbSQJ9k71Wb/HDoOP2+pGjBgkCn0TWXRIqtLvtUI0dnEC5aBXIMt3TvnMc6hg5+//Nk3G2om7EOmdK8rrtcN4qlzP/QXzaY52vR05iP8gw5HfJjmnkyQLMON0CFUof4XyNU8gQLKLU16oY0hqfc4YBB/nBPYpxFxXaer0gpOPD5LWV4gF83cZKe+/+fpuqV2EqiaGuDiGNnh0fnW/HuSxF7lyi0gP6DEUthm/a1CometKaw+S2I+Ve/Df7Oo5GXkEebhOGbgl7A5kLDYR2Nh/qnWxF3BmmraQ5v2+BYX3O5HSfQx5YHUF341GCxALOmVZNiNlM7csibM4dZDSjRTf8ep1vwdSVBss77mlPNbPCZTsorJkjyHHZmN1HW+zDnJePMvgEhJtLiJ54F4yfW8eSkfOQQXqh8iMB98bCKTy/eo1y+Y2EtgZAr4XsX0UiYaLZvvJpECnIX3/M0pOvz2Dktc7UPHqF8QLtCtv0PQScvrCJSg3MkwOIFhHEtpmYi9CDh0noYUfyFGki2hTKNyYRC2996JFW1+utxHt98cIA+xodJG5v1Pl/nyYwQJyonc/aQPcihTrPDT/+mEid7WF/lS5nxrL2KHZxGEvdwop+TGki1YRAzanXMNVVZiuU/T/IC/IS4ixO1AFYVP1N3dvLUCu0lqUCugpDzBS/u9GjF5HYs8pkrT+LMHXQqTWD+ZRTpNI8ieRlXu4/Hxdef89iGGvERfKzLV0G3s3iDbK8fKzz7HxpJQJlBS9rDzDT8nR15baXsSQm5B7ZUNR59mc+DSUzDHybuBH5PhZ/809rI6jz9wcMa2na5tkZ2YrKva+QHOwkoMUR52Uv11TlmYzmSz5Kgk2/PnbkPyeh2TbWNW6LvNv5G0fRCiIi8hpuRcg1nuo2wVo3OmP0XIfRHbta+Vv15DRr4ZoucHJwcggOUCyl7Dly2RrOYsDUpwbEPT0K8j+GiFkb/+R8uwrSZPJZ5CMPklKBcdodq7OuGzWocQexNiXyEGQdbXU4cBuYkk+jJTzFjJo5lWShKbc+BfQIg8j2asLS97j/0ToogNo0dYipfn3cm1XU5cgJbkBWf7vlM9ci5LkqxC2dymZMj9EkuZO2/kkmUEy+g6k0G0I3MRAud5PkBK9BzFviETCfcS5WoN03EIErXkDOZtzCd7enbV2Bmec6p7s/QR3t6P8vXZ3HBq8SuBiHyJDKdaUG95GKvVOEXyCSO05NIHRVisvoFB8DC38MFrARxDztqA42pWPuxBW6Ua0MYeQsp6Dwn5bUeeGXQyrmxOO0qygQI46sEazJ3o5CvMeRxtqOe+e+esk5CXl5z40uu4pFFE4teDzcf43FnBaT/cDaN/UqeFRlH5fi9gJWubFJJ9qGzUbQcjuQwGO99nnkVNlFu0oj9+NcsBOXzj13oumiq1E2+hcspydck+ziFw/gZbZtc9Hy/2MlftcjOTCsneMpO79rHZ6nkN64VZyTFEPGf/6LGp0hJwXugwp97fQ1qlnEs0rr19RnnVDeZ4HkF4ZR1veBX2Lz4zSMhTu1spvFMnYxUjGbFGsnMxYP8j30D69lcynvhkNQneI9AqZiLSdpqLpQjLzUSS3u8r/dRg/SiBmq1C/9heJQdhY7snPspDkc1zcGiyv2XO1Vd2MjM3N5T2ry+veDFvKayAmrkKO03rkkLn4b8dopLx+dfn9QWTp7yQt+x4x4AT++1JI86ilgfJ7B+2qEYIQsFJ0McrVPrsT30Iuy01k7NwtSLKsuN5EVrCbJkTKLsoAWqwlyGIvoZmb+hOpvpyHQocPVte4v7x/GwGPDiPJ8LSVXpLDNtTNlvwFNAZvLQqD/kCGxG4t32UUxSLUBXQV0mpPEATCLGS0XiRTxH+AME13ImHaR2B1nkJ25qTgtEr3c8gO7ERLur38vpI0E9mB8LxbI+y2IFa/iRp2JpF8Gm1zM1Iqb6C9egDt7Wdo1kZtV2ch8Mp+mnIL8cZtmy4l/SCGcfURzLC7z4fJFLFFJGJ1IOXPG1Xl+7gPBWyQMY7utzkfKdxB5HgdK+tX4+8vIwXwXUie5yHn6Evle96iCQ+dUbodzYTdWx7oRTRGdClCGXyV5qwDd1JOIiu0G8nIR5B8rysPur0sgKuvL6II8hBibK34HKn2o708RrMQYGPgVEg/kuF9RKYhxw4Zc7gPOUNjaKMNk3pIzVgjf2rGfhOhJaZIoewECkOuRjpmAfIADiM95rTe6vKa+8VfL9dYi3Jn3yjfu51AW94XugMl4j185RWECl+BujjuJcy1gnCp9yDaFL9FEnoQ7eaDiOEXIOa+jZThlUiS/kryMg6PTiCG3IoWwwPLzXy7cbMRYz2gootMDuoiicO55Lj4nSiP6sSlrbkH/AwRJMME2iwPkATgwvL+o0iB3l2epQdpj8vQBn4ZWefbyrU8t9MFyuVo03y3PM8emg0p703TKt0RlLV5uvzrRyw9lxyIao/wNVLU/T2RLcPLHJn2k8KyFeR85MD8mcxrgNQF3bruiZsQhVuDSCyb19G0U4ZxHUbLPYKUbKc8y++QV+/aqz1Ld5JNoG1SVi6yAAAEcUlEQVSznmwdZ76M258kXbRGQLjgN58cNOl0zPLq3vaVZ/8ZadG3vpmDinQzSrsRI59CDsEA0vbnkmPErYgcWZ6PZNlKsJs0RJiZnoEyC1mSuQic7byxGev6ij9zgMiOLagdKgjI+lqap+naQh5GcjZGjm5egazgheUaduIs90eRftlGWqI7yDLvIow9ivTXK8SRMsppCDF2L02l3o2U70GUtrmX5lwJQ2ev532gMaRE/oKs3hCpKO4mlsQK+U4Udz1LjsQxmNo/W4qdXliDJOl2lJPaQbTBFE2U+ijaYA65pwiUw65SH3LNnKS05ugQT3QXqbysQgDvi8nxuTYe3aSpwdVZHyHgzho33Y+SI9nnI4/bCfdlSMFfinJddbLPGnAc4SldPLN2m4285vemaXO6v0ZwzlE0sGYNktFFKOtCuY1h5BUvRArEjXdGxhwkkekhmrPV/W+kXOOPxHvuR0r8GgRPtu2zI+SaqGuO3TTRgkYVQezURPm/F22xMeTEWCZd63CPjZXk62iJXTT3HBXDR/eQjjo3M54gh5D0kHMUrV96ys8vlc8Yiub76CCdcfU7GfP/0iZUaxgrD7IGhSaDBCnUjeT0LuR4jJN51G7JnSByeaj8fpTMUphCe/8i5DzVkMjF5cF+SBhL9d3GuPaQdELN0DoNsYCcAOpQahyF95TPm5lub+6Ua4+Qxe8iU/k96nGUbOS6n8AT93uIfNrCGpv/HFLIdX7JKI51RIhmlJ5EUjuOmHdF+XkFShE47luDLK/bmN4iQ8dPkGlHllpPHHKHyyRS6peTrhZbtQGUG97Au2cmeOyjJdySYP+vbjY4TRKBC8t7DiElb6ntIS2J+9GCHy3vnyATukGbrRdplQ5pedyNNoKxU53q31KkmT6NKjAfR8bmX6S12tLqgcmrmc6iTuvpdpfb6EdZkoXkgGOnj/uRM7MFpdYvRJ6u6y/+AiPuumiOXfW8HtsNf69t5lh5/Y1qqWpPGOLl+mcrxnpugUEgdrIOkdb5nchw+BqGffoevF08AMf356PpQAVu6yIfUOItuhJt/X4yzrW/fHYvYrkhsw7OjpOSwoyfHNFVvmABcSB2oVTXVdWNXIeiq+uRkvAxF0dIB4hd867qfzsVjljt5ToK7CDG2ilzMr72hKHp9TqqM5n5XaQtuIek+g4gPWLniPLMA9X1rMifL2vhlIWHYXShg2XNEEfjx8oaDCOD0kegN9Yr64ksOx9uXXUj8Ely1uOMkr3SVYhZSxBzXyYNCO5yeb7czFpSRThUrlMDky0JEMY7j/kaTVcIJLF/Q0rdRwrUqsbvqxvnjc31RjIdqz5vDXEEuUHDRIkfJnhdW+mT5f5WEEkdKGtyEmEmT5CZf6vL888lXTW27sYS96HIYSlCMTjW98CSK5EmXMaZqKvTOXPCt6WWWmqppZmladMLLbXUUkstzSy1Srelllpq6SxSq3Rbaqmlls4itUq3pZZaauksUqt0W2qppZbOIrVKt6WWWmrpLNJ/ATrvUVb8N8ltAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Load image file into array\n", "M = img.imread('Reynolds.jpg')\n", "\n", "# Get dimensions of array\n", "h, w, c = M.shape\n", "\n", "# Create red component of M by zeroing out green and blue values\n", "M_r = 255 * np.ones((h, w, c), dtype ='uint8')\n", "M_r[0:h, 0:w, 0:c] = M[0:h, 0:w, 0:c] # copy array M, then modify\n", "M_r[:, :, 1:3] = 0\n", "\n", "# Create green component of M by zeroing out red and blue values\n", "M_g = 255 * np.ones((h, w, c), dtype ='uint8')\n", "M_g[0:h, 0:w, 0:c] = M[0:h, 0:w, 0:c] # copy array M, then modify\n", "M_g[:, :, 0] = 0\n", "M_g[:, :, 2] = 0\n", "\n", "# Create blue component of M by zeroing out red and green values\n", "M_b = 255 * np.ones((h, w, c), dtype ='uint8')\n", "M_b[0:h, 0:w, 0:c] = M[0:h, 0:w, 0:c] # copy array M, then modify\n", "M_b[:, :, 0:2] = 0\n", "\n", "# Create figure with 3 subplots\n", "fig = plt.figure()\n", "\n", "# Subplot 1: red\n", "ax = fig.add_subplot(1, 3, 1)\n", "ax.imshow(M_r)\n", "ax.set_title(\"Red\")\n", "ax.axis(\"off\")\n", "\n", "# Subplot 2: green\n", "ax = fig.add_subplot(1, 3, 2)\n", "ax.imshow(M_g)\n", "ax.set_title(\"Green\")\n", "ax.axis(\"off\")\n", "\n", "# Subplot 3: blue\n", "ax = fig.add_subplot(1, 3, 3)\n", "ax.imshow(M_b)\n", "ax.set_title(\"Blue\")\n", "ax.axis(\"off\")\n", "\n", "# Display figure\n", "fig.show(warn=False) # Avoid backend warnings with keyword argument warn=False" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 8.__\n", "Load the image `calico_cat_in_greece.jpg` (in the same folder as this notebook) into an array `S`. Using what that you've learned today, make an image with the cat picture surrounded by a black border. One way to do this is to make a larger, all black image, and then set the central pixels equal to the cat picture. Display the new image." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Load image into array\n", "S = img.imread('calico_cat_in_greece.jpg')\n", "\n", "# Get dimensions of array\n", "h, w, c = S.shape\n", "\n", "# Create new 3D array to represent image with 100 more pixels\n", "# in the vertical (height) and horizontal (width) directions\n", "S_new = np.zeros((h + 100, w + 100, c), dtype='uint8')\n", "\n", "# Copy the values of S into S_new\n", "S_new[50:h + 50, 50:w + 50, 0:3] = S[:, :, :]\n", "\n", "# Display resulting image\n", "plt.imshow(S_new) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 9.__\n", "What decimal number is represented by the 8-bit integer $[10101101]_2$? \n", "\n", "Write code to perform the Base 2 expansion. You may represent $[10101101]_2$ as a list, that is:\n", "\n", "```python\n", "n = [1, 0, 1, 0, 1, 1, 0, 1]\n", "```" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The decimal representation of [1, 0, 1, 0, 1, 1, 0, 1]_2 is 173.\n" ] } ], "source": [ "# Put the bits of the given 8-bit integer into an array\n", "n = [1,0,1,0,1,1,0,1]\n", "\n", "# Base 2 expansion\n", "val = 0\n", "for pos in range(len(n)):\n", " val += n[-1 - pos] * (2 ** pos)\n", "\n", "# Print the decimal number\n", "print(f'The decimal representation of {n}_2 is {val}.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 10.__\n", "In Problem 9, you determined the decimal number represented by the 8-bit integer $[10101101]_2$. \n", "\n", "Generalize your solution to Problem 9 by creating a function `num_from_bits` that will return the decimal number represented by an 8-bit integer input. You may assume that the 8-bit integer is input as a list.\n", "\n", "Test your function on the 8-bit integer $[10101101]_2$. Also test that your function returns the number of a famous U.S. highway when applied to $[01000010]_2$. \n", "\n", "_Challenge._ Can you make your function work with bit vectors of arbitrary length?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The decimal representation of [1, 0, 1, 0, 1, 1, 0, 1]_2 is 173.\n", "The decimal representation of [0, 1, 0, 0, 0, 0, 1, 0]_2 is 66.\n" ] } ], "source": [ "def num_from_bits(n):\n", " \"\"\"Return decimal representation of binary number.\"\"\"\n", " val = 0 \n", " for pos in range(len(n)):\n", " val += n[-1 - pos] * (2 ** pos)\n", " return val \n", "\n", "# Test the function\n", "n = [1, 0, 1, 0, 1, 1, 0, 1]\n", "print(f'The decimal representation of {n}_2 is {num_from_bits(n)}.')\n", "\n", "n = [0, 1, 0, 0, 0, 0, 1, 0]\n", "print(f'The decimal representation of {n}_2 is {num_from_bits(n)}.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "__Problem 11.__ Create a function `bits_from_num` that takes a decimal number as input and returns the binary representation of the number. Check that your answer returns the correct bit representation for each of the following input: 128, 255, 33, 18 and 0. Also check that if you run `num_from_bits(bits_from_num(13))` you get the number 13 back again. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 0, 0, 0, 0, 0, 0, 0]\n", "[1, 1, 1, 1, 1, 1, 1, 1]\n", "[0, 0, 1, 0, 0, 0, 0, 1]\n", "[0, 0, 0, 1, 0, 0, 1, 0]\n", "[0, 0, 0, 0, 0, 0, 0, 0]\n", "13\n" ] } ], "source": [ "def bits_from_num(num):\n", " \"\"\"Return binary representation of decimal number\"\"\"\n", " n = []\n", " for exp in range(8):\n", " if num >= 2 ** (7 - exp):\n", " n.append(1)\n", " num = num - 2 ** (7 - exp)\n", " else: \n", " n.append(0)\n", " return n\n", "\n", "# Test the function\n", "print(bits_from_num(128))\n", "print(bits_from_num(255))\n", "print(bits_from_num(33))\n", "print(bits_from_num(18))\n", "print(bits_from_num(0))\n", "print(num_from_bits(bits_from_num(13)))" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 2 }