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@spestana
Last active November 1, 2023 16:40
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exploring the kaprekar number - I did this as a challange to compute k-like numbers with only built-in python functions and without int-->str conversions
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "482622f9-b577-4e67-8dab-3f45a3b7323b",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def get_len(x : int):\n",
" ''' Get the number of digits in an integer '''\n",
" c = 0\n",
" while x > 1:\n",
" x = x/10\n",
" c+=1\n",
" return c\n",
"\n",
"def get_list(x : int):\n",
" ''' Create a list of numbers given an integer '''\n",
" y = []\n",
" for i in range(1,get_len(x)+1):\n",
" y.append( int( ( x % 10**i - x % 10**(i-1) ) / 10**(i-1) ) )\n",
" #print(f'list from x: {y}')\n",
" return y\n",
"\n",
"def sort_step(v : list):\n",
" ''' Step through a list of numbers, swap pairs if the next number is smaller than the current number '''\n",
" for i in range(len(v)-1):\n",
" if v[i] > v[i+1]:\n",
" a = v[i]\n",
" v[i] = v[i+1]\n",
" v[i+1] = a\n",
" return v\n",
"\n",
"def sort(v : list):\n",
" ''' Sort a list of number in ascending order '''\n",
" while int_from_list(v) != int_from_list(sort_step(v)):\n",
" v = sort_step(v)\n",
" #print(f'sorting... {v}')\n",
" return v\n",
"\n",
"def int_from_list(v : list):\n",
" ''' Create an integer from a list of numbers '''\n",
" z = 0\n",
" for i, n in enumerate(v[::-1]):\n",
" z += n * 10**i\n",
" #print(f'integer: {z}')\n",
" return z\n",
"\n",
"def k_number(x : int):\n",
" ''' Compute Kaprekar-like number '''\n",
" y = sort( get_list(x) )\n",
" x = int_from_list( y[::-1] )\n",
" y = int_from_list( y )\n",
" return x - y"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e502d12d-56b9-4c33-bd88-389995272b01",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"id": "cc431507-5074-400c-96ab-bd0f2aed481b",
"metadata": {},
"source": [
"Traditional Kaprekar's routine (four digit numbers)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "75cb90bb-d166-4ba5-b18b-59acaec0a45e",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"max_steps = 20\n",
"x_lists = []\n",
"for i in range(10000):\n",
" x = int(np.random.uniform(1000,9999))\n",
" xs = []\n",
" for k in range(max_steps):\n",
" xs.append(x)\n",
" x = k_number(x)\n",
" x_lists.append(xs)\n",
" \n",
"y = np.array(x_lists) \n"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "f1597a49-30a1-47f8-9060-6f8758742dd5",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1000x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10,4))\n",
"ax.plot(y.T, c='k', alpha=0.01);"
]
},
{
"cell_type": "markdown",
"id": "587892df-2df4-4f7c-ad9f-40b1a05daee0",
"metadata": {},
"source": [
"Align plots when each number converges on Kaprekar's number. With this we can start to see the common paths that many instances take on their way to Kaprekar's number."
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "e32bfb88-1756-4f5e-a42c-01b0048acc09",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"zs = []\n",
"for i in range(len(y)):\n",
" z = y[i][y[i] != 6174] \n",
" if len(z) < max_steps-1: # if it took more than max_steps-1 steps, we converged on zero\n",
" zs.append(len(z)) # how many steps did it take to get to 6147?\n",
" plt.plot(y[i][0:len(z)+2][::-1], c='k', alpha=0.01)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "3081a97a-254a-4950-a2fb-05e8854c9a06",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0 1 2 3 4 5 6 7 8 9] [ 1 398 568 2355 1261 1475 1676 2185 0]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# how many steps did it take to get to 6147?\n",
"counts, bins = np.histogram(np.array(zs),bins=range(10))\n",
"print(bins, counts)\n",
"plt.bar(bins[:-1],counts, align=\"center\")\n",
"plt.xlim(-0.5,9)\n",
"plt.xlabel('nsteps')\n",
"plt.ylabel('count');"
]
},
{
"cell_type": "markdown",
"id": "ed194c99-f0b6-44c8-8f63-3fe01a9e0722",
"metadata": {},
"source": [
"No more than 7 steps. Most often 3 or 7. Also, we picked 6147 once randomly right at the start (therefore nsteps=0)"
]
},
{
"cell_type": "markdown",
"id": "7b57b988-43e4-4600-ae5a-33376bf42374",
"metadata": {},
"source": [
"---\n",
"Investigate a wide range of sizes of numbers (not just four digits)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "b96e7b48-412c-42bc-b1e2-98fb84558bba",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10,8))\n",
"\n",
"for j in range(100):\n",
" for i in [2, 3, 4, 5, 6, 7, 8]:\n",
" x = np.random.uniform(1*10**i, (1*10**(i+1))-1)\n",
" xs = []\n",
" for k in range(30):\n",
" xs.append(x)\n",
" x = k_number(x)\n",
" ax.plot(xs, c='k', alpha=0.01)\n",
"\n",
"ax.set_yscale('log')"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d3e8032b-8914-4832-bd7a-3adb88c08150",
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.10.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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