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@halserach
Created March 4, 2024 14:45
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Second Assignment of FI6004; Python Lists and Its Manipulation.
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{
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"metadata": {},
"source": [
"Solutions by halserach (Christopher J. / 20223014)"
]
},
{
"cell_type": "markdown",
"id": "576d1bff-965e-4ee2-99d0-6753eba34967",
"metadata": {},
"source": [
"# Exercise 1\n",
"\n",
"#### Preparation:"
]
},
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"source": [
"#Let's make the list first\n",
"x = []\n",
"x.append(1)\n",
"x.extend(['Hello', True, 1.093e-3, '#fff']) "
]
},
{
"cell_type": "markdown",
"id": "7f5068be-3ce8-43ca-a15a-4bd9024920bd",
"metadata": {},
"source": [
"## Quest 1: Return only last element without knowing the length of the list in one line!\n",
"\n",
"### Answer:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c6253ff8-2f65-40ec-aa84-66f739df9744",
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},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"#fff\n"
]
}
],
"source": [
"print(x[-1])"
]
},
{
"cell_type": "markdown",
"id": "5312d538-d22e-4be6-9596-124016c1df01",
"metadata": {},
"source": [
"# Exercise 2\n",
"\n",
"#### Preparation:"
]
},
{
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"id": "223e5b9b-94fa-4386-88a1-ff76de14519e",
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"outputs": [],
"source": [
"x = [9, 3, 4, 1, 4, 5, 6, 3, 7, 8]"
]
},
{
"cell_type": "markdown",
"id": "56ddee91-9917-49cd-96cc-456d75b13580",
"metadata": {
"jp-MarkdownHeadingCollapsed": true
},
"source": [
"## Quest 2: What would be the result of the following procedure?\n",
"\n",
"```python\n",
"x = [9, 3, 4, 1, 4, 5, 6, 3, 7, 8]\n",
"for i in x[2:6]:\n",
" print(i)\n",
"```\n",
"### Answer:\n",
"```python\n",
"4\n",
"1\n",
"4\n",
"5\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "ee048cae-8e49-48b7-be40-101dda449641",
"metadata": {
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}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"4\n",
"1\n",
"4\n",
"5\n"
]
}
],
"source": [
"for i in x[2:6]:\n",
" print(i)"
]
},
{
"cell_type": "markdown",
"id": "2dac6049-3fdb-46f9-8902-afa3a34cded9",
"metadata": {},
"source": [
"# Exercise 3\n",
"\n",
"#### Preparation:"
]
},
{
"cell_type": "code",
"execution_count": 141,
"id": "3d1bcefb-cbc3-48c8-aa30-4cbfb7f150a9",
"metadata": {
"execution": {
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"outputs": [],
"source": [
"x = [1, [2, [3], 4, [5, [6]], 7], 8]"
]
},
{
"cell_type": "markdown",
"id": "11c85041-c00d-433e-99dd-946b27738930",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T06:03:08.559305Z",
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}
},
"source": [
"## Quest 3: Print a tree of a list!\n",
"\n",
"### Answer:"
]
},
{
"cell_type": "code",
"execution_count": 142,
"id": "81fbebb6-6265-41f5-aaa8-86b01d019900",
"metadata": {
"execution": {
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"FIRST SOLUTION'S RESULT:\n",
" 1\n",
" 2\n",
" 3\n",
" 4\n",
" 5\n",
" 6\n",
" 7\n",
" 8\n",
"\n",
"SECOND SOLUTION'S RESULT:\n",
"1\n",
" 2\n",
" 3\n",
" 4\n",
" 5\n",
" 6\n",
" 7\n",
"8\n"
]
}
],
"source": [
"# Pardon me, but my first solution would be in recursive; the second solution would be strictly in for-loops.\n",
"\n",
"# First solution: using recursive\n",
"def tree(x, lvl=0):\n",
" for i in x:\n",
" if isinstance(i, list):\n",
" tree(i, lvl+1)\n",
" continue\n",
" if i != None:\n",
" print(' ' * lvl, i)\n",
"\n",
"print(\"FIRST SOLUTION'S RESULT:\")\n",
"tree(x)\n",
"\n",
"# Second solution: using only for loops:\n",
"def tree2(x):\n",
" for i in x:\n",
" if not isinstance(i, list):\n",
" print(i)\n",
" continue\n",
"\n",
" for j in i:\n",
" if not isinstance(j, list):\n",
" print('', j)\n",
" continue\n",
"\n",
" for k in j:\n",
" if not isinstance(k, list):\n",
" print(' ', k)\n",
" continue\n",
" \n",
" for l in k:\n",
" print(' ', l)\n",
"\n",
"print(\"\\nSECOND SOLUTION'S RESULT:\")\n",
"tree2(x)"
]
},
{
"cell_type": "markdown",
"id": "90bc4f77-2307-4c96-9de7-18260f95dc08",
"metadata": {},
"source": [
"Solution using recursive is more versatile; it can walk the tree with any depth without modifying the existing code.\n",
"\n",
"Solution using pure for-loops however need to be modified if we add another depth to the list."
]
},
{
"cell_type": "markdown",
"id": "aeeb307e-3a54-480f-a978-681c87de0262",
"metadata": {},
"source": [
"# Exercise 4\n",
"\n",
"#### Preparation:"
]
},
{
"cell_type": "code",
"execution_count": 93,
"id": "081e0dab-906b-4ce5-ae52-9db0d197bcef",
"metadata": {
"execution": {
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"outputs": [],
"source": [
"x = [1,2,3,4,5]\n",
"y = ['a', 'b', 'c']\n",
"z = x.pop(1)\n",
"y.insert(1,z)\n",
"z = x + y"
]
},
{
"cell_type": "markdown",
"id": "ea1565fa-370a-401a-9989-78547ebfea5d",
"metadata": {},
"source": [
"## Quest 4: What would be the values of x, y, and z?\n",
"### Answer:\n",
"```python\n",
"x = [1, 3, 4, 5] # Because x[1] is 'popped'\n",
"y = ['a', 2, 'b', 'c'] # Because z = 2, thus we insert 2 in index 2\n",
"z = [1, 3, 4, 5, 'a', 2, 'b', 'c'] # We just concatenate x and y\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "ae4c5921-a8e8-4530-b931-ac00bd50941a",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T07:01:55.980098Z",
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"x = [1, 3, 4, 5]\n",
"y = ['a', 2, 'b', 'c']\n",
"z = [1, 3, 4, 5, 'a', 2, 'b', 'c']\n"
]
}
],
"source": [
"print('x = ', x)\n",
"print('y = ', y)\n",
"print('z = ', z)"
]
},
{
"cell_type": "markdown",
"id": "c32d9024-1f06-4829-9a35-cb5f44bdce06",
"metadata": {},
"source": [
"# Exercise 5\n",
"\n",
"#### Preparation:"
]
},
{
"cell_type": "code",
"execution_count": 101,
"id": "9062ff00-35e9-4b70-a337-62c74255fa19",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T07:03:14.479716Z",
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}
},
"outputs": [],
"source": [
"a = 'aeiou'\n",
"b = tuple(a)\n",
"c = list(b)\n",
"d = c\n",
"e = list(d)\n",
"\n",
"c[1] = 2000"
]
},
{
"cell_type": "markdown",
"id": "886849f9-849f-443d-b8ee-4a148da1b4e2",
"metadata": {},
"source": [
"## Quest 5: What would be the result of following codes?\n",
"```python\n",
"a = 'aeiou'\n",
"b = tuple(a)\n",
"c = list(b)\n",
"d = c\n",
"e = list(d)\n",
"\n",
"c[1] = 2000\n",
"print(d)\n",
"print(e)\n",
"```\n",
"\n",
"### Answer:\n",
"```python\n",
"['a', 2000, 'e', 'i', 'o', 'u']\n",
"['a', 'e', 'i', 'o', 'u']\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 104,
"id": "1e7be580-30f5-4a99-86cc-82ce7a8c0b31",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T07:04:40.718703Z",
"iopub.status.busy": "2024-03-02T07:04:40.718367Z",
"iopub.status.idle": "2024-03-02T07:04:40.722883Z",
"shell.execute_reply": "2024-03-02T07:04:40.721899Z",
"shell.execute_reply.started": "2024-03-02T07:04:40.718687Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['a', 2000, 'i', 'o', 'u']\n",
"['a', 'e', 'i', 'o', 'u']\n"
]
}
],
"source": [
"print(d)\n",
"print(e)"
]
},
{
"cell_type": "markdown",
"id": "c237dc10-4b3a-4428-8763-5bc3bc31de85",
"metadata": {},
"source": [
"(Python *always* pass-by-reference... except when it doesn't :v)"
]
},
{
"cell_type": "markdown",
"id": "51f05e90-dfbf-4866-a7a7-50aee03b1fcc",
"metadata": {},
"source": [
"# Exercise 6\n",
"\n",
"### > How to get [0,1,2,3,4,5] from [5,0,1,3,4,2] only in one line of code?\n",
"```python\n",
" print(sorted([5,0,1,3,4,2])) # The ordinary .sort() returns None, so we use .sorted()\n",
"```\n",
"\n",
"### > How to get [2,4,3,1,0,5] from [5,0,1,3,4,2] only in one line of code?\n",
"We can use this line of code:\n",
"```python\n",
" print(list(reversed([5,0,1,3,4,2]))) \n",
"```\n",
"or using this ridiculous yet recommended-by-many line of code:\n",
"```python\n",
" print([5,0,1,3,4,2][-1::-1])\n",
"```\n",
"\n",
"### > How to get [5,4,3,2,1,0] from [5,0,1,3,4,2] only in one line of code? And how in two lines of code?\n",
"For the single line solution:\n",
"```python\n",
" print(sorted([5,0,1,3,4,2], reverse=True))\n",
"```\n",
"and for the double lines solution:\n",
"```python\n",
" x = sorted([5,0,1,3,4,2])\n",
" print(x[-1::-1])\n",
"```"
]
},
{
"cell_type": "markdown",
"id": "41e92044-952d-43ee-86b1-d751074a4573",
"metadata": {},
"source": [
"# Exercise 7\n",
"\n",
"Run this code!\n",
"> Is the 2nd index of 1 right? How do you interpret the result?\n",
"\n",
"#### Preparation:"
]
},
{
"cell_type": "code",
"execution_count": 126,
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"count of 1: 4\n",
"\n",
"1st index of 1: 1\n",
"\n",
"2nd index of 1: 2\n"
]
}
],
"source": [
"x = [0, 1, 2, 3, 1, 4, 5, 6, 1, 9, 9, 1]\n",
"print('count of 1:', x.count(1))\n",
"print()\n",
"\n",
"c0 = x.index(1)\n",
"print('1st index of 1:', c0)\n",
"print()\n",
"\n",
"c1 = x[c0 + 1:].index(1)\n",
"print('2nd index of 1:', c1)"
]
},
{
"cell_type": "markdown",
"id": "1ccd7906-2a58-4894-8ec8-1781e95f273d",
"metadata": {
"execution": {
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"iopub.status.busy": "2024-03-02T07:34:18.781804Z",
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},
"source": [
"### Answer:\n",
"The answer is wrong. This line:\n",
"```python\n",
"c1 = x[c0 + 1:].index(1)\n",
"```\n",
"truncates the first c0 + 1 values before evaluate the index position. So, we need to add c0 + 1:\n",
"```python\n",
"c1 = x[c0 + 1:].index(1) + c0 + 1\n",
"```\n",
"to get the correct result."
]
},
{
"cell_type": "markdown",
"id": "c3caee2c-e592-444c-bda3-d8f0c95444e6",
"metadata": {},
"source": [
"# Exercise 8\n",
"Execute the following codes!"
]
},
{
"cell_type": "code",
"execution_count": 132,
"id": "2b8c95c1-362d-462b-ad65-3ad7b572f23e",
"metadata": {
"execution": {
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"shell.execute_reply": "2024-03-02T08:01:18.964851Z",
"shell.execute_reply.started": "2024-03-02T08:01:18.961011Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0, 2, 4]\n",
"[1, 3, 5]\n",
"[1, 3, 5, 3, 5, 7, 5, 7, 9]\n",
"[1, 5, 9]\n"
]
}
],
"source": [
"x = [i for i in range(0, 5, 2)]\n",
"y = [i for i in range(1, 6, 2)]\n",
"z = [i + j for i in x for j in y]\n",
"\n",
"s = [i + j for i,j in zip(x,y)] # Some bonus\n",
"\n",
"print(x)\n",
"print(y)\n",
"print(z)\n",
"\n",
"print(s)"
]
},
{
"cell_type": "markdown",
"id": "5f38b305-7707-4895-91f7-d896416e6e37",
"metadata": {},
"source": [
"# Exercise 9\n",
"\n",
"#### Preparation"
]
},
{
"cell_type": "code",
"execution_count": 134,
"id": "6d6d6154-bd54-4c42-a97d-161531a514fb",
"metadata": {
"execution": {
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"outputs": [],
"source": [
"x = [1, 5, 2, 4, 3]"
]
},
{
"cell_type": "markdown",
"id": "848f2d7f-8fc1-49d0-8625-e9d06f0a4be4",
"metadata": {},
"source": [
"## Quest 9 : Modify the bubble sort code in the slide to sort list in descending order. Show *only* the modified line!\n",
"\n",
"### Answer:\n",
"Change this line:\n",
"```python\n",
" if x[i] > x[j]:\n",
"```\n",
"into:\n",
"```python\n",
" if x[i] < x[j]:\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 135,
"id": "e4e2b7be-d06b-4bb0-9280-f4443840224f",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T08:05:58.183074Z",
"iopub.status.busy": "2024-03-02T08:05:58.182619Z",
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"shell.execute_reply": "2024-03-02T08:05:58.186772Z",
"shell.execute_reply.started": "2024-03-02T08:05:58.183050Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"after bubble sort: [5, 4, 3, 2, 1]\n"
]
}
],
"source": [
"for i in range(len(x)):\n",
" for j in range(i+1, len(x)):\n",
" if x[i] < x[j]:\n",
" x[i], x[j] = x[j], x[i]\n",
"\n",
"print('after bubble sort:', x)"
]
},
{
"cell_type": "markdown",
"id": "c1a1d76d-44c1-4c03-804d-624f8389ba71",
"metadata": {},
"source": [
"(using recursive quicksort can result in higher time efficiency)"
]
},
{
"cell_type": "markdown",
"id": "aabc7e19-562e-4ba9-bfb2-ccac3a31edb6",
"metadata": {},
"source": [
"# Exercise 10\n",
"\n",
"#### Preparation:"
]
},
{
"cell_type": "code",
"execution_count": 137,
"id": "1ee74d1d-c475-4346-a050-f302ee044b46",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T08:15:00.479504Z",
"iopub.status.busy": "2024-03-02T08:15:00.479061Z",
"iopub.status.idle": "2024-03-02T08:15:00.483903Z",
"shell.execute_reply": "2024-03-02T08:15:00.482967Z",
"shell.execute_reply.started": "2024-03-02T08:15:00.479480Z"
}
},
"outputs": [],
"source": [
"def sep_odd_even_index(z):\n",
" N = len(z)\n",
" r = range(N)\n",
" x = [ z[i] for i in r if i % 2 == 0 ]\n",
" y = [ z[i] for i in r if i % 2 == 1 ]\n",
"\n",
" return [x,y]\n",
"\n",
"mix = ['a', 1, 'b', 2, 'c', 3]\n",
"x, y = sep_odd_even_index(mix)"
]
},
{
"cell_type": "markdown",
"id": "d17c7afe-e37b-4a83-bac4-379936ae5795",
"metadata": {},
"source": [
"## Quest 10: Explain the purpose of sep_odd_even_index()! And what would the results be of this following code?\n",
"```python\n",
"print(mix, '\\n')\n",
"print(x, '\\n')\n",
"print(y)\n",
"```\n",
"\n",
"### Answer:\n",
"The purpose of the sep_odd_even_index is to seperate all odd-index values and all even-index values into two different lists, and then pack them into one neat list; it returns a list whose first value is the all-odd-index values and the second value is the all-even-index values of list z.\n",
"\n",
"The snippet above will produce following outputs:\n",
"```python\n",
"['a', 1, 'b', 2, 'c', 3]\n",
"['a', 'b', 'c']\n",
"[1, 2, 3]\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 138,
"id": "41113045-3f88-4595-a87e-6e700ccd7720",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T08:15:02.468056Z",
"iopub.status.busy": "2024-03-02T08:15:02.467568Z",
"iopub.status.idle": "2024-03-02T08:15:02.472302Z",
"shell.execute_reply": "2024-03-02T08:15:02.471421Z",
"shell.execute_reply.started": "2024-03-02T08:15:02.468035Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['a', 1, 'b', 2, 'c', 3] \n",
"\n",
"['a', 'b', 'c'] \n",
"\n",
"[1, 2, 3]\n"
]
}
],
"source": [
"print(mix, '\\n')\n",
"print(x, '\\n')\n",
"print(y)"
]
},
{
"cell_type": "markdown",
"id": "f9d435b5-150c-4a94-bcad-66456ed0be4f",
"metadata": {},
"source": [
"# Exercise on Plotting\n",
"\n",
"Let's say we want to make a contour map and 3 dimensional graph of a hyperbolic paraboloid:\n",
"$$ z = x^2 - y^2 $$"
]
},
{
"cell_type": "code",
"execution_count": 169,
"id": "bbdcd9e4-23de-4694-a074-8b9451bda4a0",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T08:37:47.348421Z",
"iopub.status.busy": "2024-03-02T08:37:47.347933Z",
"iopub.status.idle": "2024-03-02T08:37:47.491423Z",
"shell.execute_reply": "2024-03-02T08:37:47.490354Z",
"shell.execute_reply.started": "2024-03-02T08:37:47.348395Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 400x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# This is the contour map\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = np.linspace(-50, 50, 500)\n",
"y = np.linspace(-50, 50, 500)\n",
"X,Y = np.meshgrid(x,y)\n",
"Z = X**2 - Y**2\n",
"\n",
"plt.figure(figsize=(4,4))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"\n",
"plt.contour(X, Y, Z, 8).clabel()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 177,
"id": "771c7e5a-c426-4ba1-b196-4b075078700a",
"metadata": {
"execution": {
"iopub.execute_input": "2024-03-02T08:40:45.835847Z",
"iopub.status.busy": "2024-03-02T08:40:45.835424Z",
"iopub.status.idle": "2024-03-02T08:40:46.195032Z",
"shell.execute_reply": "2024-03-02T08:40:46.194181Z",
"shell.execute_reply.started": "2024-03-02T08:40:45.835831Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# This is the 3d graph\n",
"\n",
"from matplotlib import cm\n",
"from matplotlib.ticker import LinearLocator\n",
"\n",
"fig, ax = plt.subplots(subplot_kw={\"projection\": \"3d\"})\n",
"\n",
"# Plot the surface.\n",
"surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n",
"\n",
"# Customize the z axis.\n",
"ax.zaxis.set_major_locator(LinearLocator(10))\n",
"# A StrMethodFormatter is used automatically\n",
"ax.zaxis.set_major_formatter('{x:.02f}')\n",
"ax.tick_params(axis='z', pad=10)\n",
"\n",
"# Add a color bar which maps values to colors.\n",
"fig.colorbar(surf, shrink=0.4, aspect=5, pad = 0.2)\n",
"\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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