Collatz Conjecture (Jupyter Python Notebook)

Collatz_Conjecture.ipynb

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    "## Collatz Conjecture\n",
    "\n",
    "#### For an odd number, multiply by 3 and add 1\n",
    "#### For an even number, divide by 2\n",
    "\n",
    "#### The conjecture is that whatever seed you start with, it ends with 4,2,1\n",
    "\n",
    "#### The curious thing is that the number of steps to read \"... 4,2,1\"  wildly fluctuates\n",
    "\n",
    "#### This code computes the number of steps for a given \"max seed\"\n",
    "#### and then computes the number of steps for all seed values from 1 to \"max seed\"\n",
    "#### and plots a line chart"
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    "##Print all the values beginning with the seed"
   ]
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    "import pandas as pd\n"
   ]
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    "n = int(input(\"what is the max seed ?\"))\n",
    "seed=n\n",
    "steps_counter=0\n",
    "while n != 1:\n",
    "    if n%2 == 0:\n",
    "        n=int(n/2)\n",
    "        print(n)\n",
    "        steps_counter=steps_counter+1\n",
    "    else:\n",
    "        n=(n*3)+1\n",
    "        #printing the value is optional, you may comment out the print\n",
    "        print(n)\n",
    "        steps_counter=steps_counter+1\n",
    "print(\"Totally  \", steps_counter, \"  steps for this max seed value\")\n"
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   "source": [
    "##Loop from 1 to max seed and print number of steps"
   ]
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    "seed_steps_df=pd.DataFrame(columns=('seed', 'steps'))"
   ]
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    "i=1\n",
    "while i <=seed:\n",
    "    n=i\n",
    "    steps_counter=0\n",
    "    while n != 1:\n",
    "        if n%2 == 0:\n",
    "            n=n/2\n",
    "            #print(n)\n",
    "            steps_counter=steps_counter+1\n",
    "        else:\n",
    "            n=(n*3)+1\n",
    "            #print(n)\n",
    "            steps_counter=steps_counter+1\n",
    "    ##optional : Print the number of steps at each incremental seed value\n",
    "    print(\"Totally  \", steps_counter, \"  steps\", \"for seed being  \", i)\n",
    "    values_to_add = {'seed':i,'steps':steps_counter} \n",
    "    row_to_add =  pd.Series(values_to_add)\n",
    "    seed_steps_df = seed_steps_df.append(row_to_add,ignore_index=True)\n",
    "    i=i+1\n"
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   "source": [
    "seed_steps_df.plot(x=\"seed\",y=\"steps\",xlabel=\"Seed Value\",ylabel=\"Steps for Collatz Conjecture\",title=\"Collatz Conjecture\",figsize=(12,6))\n"
   ]
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