interactive-coding-challenges/math_probability/add_digits/add_digits_challenge.ipynb

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    "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
   ]
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   "source": [
    "# Challenge Notebook"
   ]
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   "source": [
    "## Problem: Given an int, repeatedly add its digits until the result is one digit.\n",
    "\n",
    "* [Constraints](#Constraints)\n",
    "* [Test Cases](#Test-Cases)\n",
    "* [Algorithm](#Algorithm)\n",
    "* [Code](#Code)\n",
    "* [Unit Test](#Unit-Test)\n",
    "* [Solution Notebook](#Solution-Notebook)"
   ]
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   "metadata": {},
   "source": [
    "## Constraints\n",
    "\n",
    "* Can we assume num is not negative?\n",
    "    * Yes\n",
    "* Can we assume the inputs are valid?\n",
    "    * No\n",
    "* Can we assume this fits memory?\n",
    "    * Yes"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test Cases\n",
    "\n",
    "<pre>\n",
    "* None input -> TypeError\n",
    "* negative input -> ValueError\n",
    "* 9 -> 9\n",
    "* 138 -> 3\n",
    "* 65536 -> 7\n",
    "</pre>"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Algorithm\n",
    "\n",
    "Refer to the [Solution Notebook]().  If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Code"
   ]
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   "execution_count": null,
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   "source": [
    "class Solution(object):\n",
    "\n",
    "    def add_digits(self, val):\n",
    "        # TODO: Implement me\n",
    "        pass"
   ]
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Unit Test"
   ]
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   "metadata": {},
   "source": [
    "**The following unit test is expected to fail until you solve the challenge.**"
   ]
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  {
   "cell_type": "code",
   "execution_count": null,
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   "source": [
    "# %load test_add_digits.py\n",
    "from nose.tools import assert_equal, assert_raises\n",
    "\n",
    "\n",
    "class TestAddDigits(object):\n",
    "\n",
    "    def test_add_digits(self, func):\n",
    "        assert_raises(TypeError, func, None)\n",
    "        assert_raises(ValueError, func, -1)\n",
    "        assert_equal(func(0), 0)\n",
    "        assert_equal(func(9), 9)\n",
    "        assert_equal(func(138), 3)\n",
    "        assert_equal(func(65536), 7) \n",
    "        print('Success: test_add_digits')\n",
    "\n",
    "\n",
    "def main():\n",
    "    test = TestAddDigits()\n",
    "    solution = Solution()\n",
    "    test.test_add_digits(solution.add_digits)\n",
    "    try:\n",
    "        test.test_add_digits(solution.add_digits_optimized)\n",
    "    except AttributeError:\n",
    "        # Alternate solutions are only defined\n",
    "        # in the solutions file\n",
    "        pass\n",
    "\n",
    "\n",
    "if __name__ == '__main__':\n",
    "    main()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solution Notebook\n",
    "\n",
    "Review the [Solution Notebook]() for a discussion on algorithms and code solutions."
   ]
  }
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