Max Interval Solution

Max Interval.ipynb

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   "source": [
    "from collections import namedtuple"
   ]
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   "cell_type": "code",
   "execution_count": 3,
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   "outputs": [],
   "source": [
    "Interval = namedtuple('Interval', 'start end')\n",
    "intervals = [Interval(10, 14), Interval(4, 18), Interval(19, 20), Interval(19, 20), Interval(13, 20)]"
   ]
  },
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   "cell_type": "code",
   "execution_count": 22,
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   "source": [
    "def merge_intervals(intervals):\n",
    "    output = []\n",
    "    n = len(intervals)\n",
    "    if n == 0:\n",
    "        return output\n",
    "    sorted_intervals = sorted(intervals)\n",
    "    output.append(sorted_intervals[0])\n",
    "    for i in range(1, n):\n",
    "        top = output[-1]\n",
    "        if top.end < sorted_intervals[i].end:\n",
    "            output.append(sorted_intervals[i])\n",
    "        elif top.end < sorted_intervals[i].end:\n",
    "            new_int = Interval(top.start, sorted_intervals[i].end)\n",
    "            output.pop()\n",
    "            output.append(new_int)\n",
    "    return max([(i.end - i.start, i) for i in output])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "(14, Interval(start=4, end=18))"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "merge_intervals(intervals)"
   ]
  }
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Credit to here for main algorithm: http://www.geeksforgeeks.org/merging-intervals/