{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import aocd\n",
    "\n",
    "inputvalue = int(aocd.get_data(day=3, year=2017))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "430"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import math\n",
    "\n",
    "\n",
    "def spiraldistance(pos):\n",
    "    if pos == 1:\n",
    "        return 0\n",
    "    prev = int(math.sqrt(pos))\n",
    "    if prev % 2 == 0:\n",
    "        prev -= 1\n",
    "    sidelength = prev + 1\n",
    "    offset = (pos - (prev**2)) % sidelength\n",
    "    middle = sidelength // 2\n",
    "    return middle + abs(middle - offset)\n",
    "\n",
    "\n",
    "tests = {1: 0, 12: 3, 23: 2, 1024: 31}\n",
    "for pos, expected in tests.items():\n",
    "    assert (\n",
    "        spiraldistance(pos) == expected\n",
    "    ), f\"spiraldistance({pos}) => {spiraldistance(pos)}, not {expected}\"\n",
    "\n",
    "spiraldistance(inputvalue)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1, 2, 4, 5, 10, 11, 23, 25, 26, 54, 57, 59, 122, 133, 142, 147, 304, 330, 351, 362, 747, 806, 880, 931]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "312453"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from itertools import count, cycle, islice, product\n",
    "\n",
    "\n",
    "def summed_larger():\n",
    "    grid = {(0, 0): 1}\n",
    "    directions = tuple((x, y) for x, y in product((-1, 0, 1), repeat=2) if x or y)\n",
    "    steps = cycle([(0, 1), (-1, 0), (0, -1), (1, 0)])\n",
    "    step = next(steps)\n",
    "    x, y = 1, 0\n",
    "    size = 3\n",
    "    yield 1\n",
    "    for num in count(2):\n",
    "        value = sum(grid.get((x + dx, y + dy), 0) for dx, dy in directions)\n",
    "        yield value\n",
    "        grid[(x, y)] = value\n",
    "        if num == size**2:  # next spiral ring\n",
    "            size += 2\n",
    "            x += 1\n",
    "            step = next(steps)\n",
    "        else:\n",
    "            if (num - ((size - 2) ** 2)) % (size - 1) == 0:  # change direction\n",
    "                step = next(steps)\n",
    "            x += step[0]\n",
    "            y += step[1]\n",
    "\n",
    "\n",
    "print(list(islice(summed_larger(), 25)))\n",
    "next(filter(lambda v: v > inputvalue, summed_larger()))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.12.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}