Advent 2017 through Day 21
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Peter Norvig authored and 
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@@ -28,9 +28,7 @@
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"collapsed": true
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},
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"metadata": {},
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"outputs": [],
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"source": [
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"# Python 3.x Utility Functions\n",
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@@ -94,10 +92,14 @@
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" return float(token)\n",
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" except ValueError:\n",
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" return token\n",
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" \n",
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"def error(err=RuntimeError, *args): raise err(*args)\n",
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"\n",
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"################ Functions on Iterables\n",
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"\n",
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"def first(iterable, default=None): return next(iter(iterable), default)\n",
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"def first(iterable, default=None): \n",
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" \"The first item in an iterable, or default if it is empty.\"\n",
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" return next(iter(iterable), default)\n",
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"\n",
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"def first_true(iterable, pred=None, default=None):\n",
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" \"\"\"Returns the first true value in the iterable.\n",
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@@ -176,6 +178,14 @@
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" return new\n",
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" \n",
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"flatten = chain.from_iterable\n",
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"\n",
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"def repeat(n, fn, arg):\n",
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" \"Repeat arg=fn(arg) n times.\"\n",
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" for i in range(n):\n",
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" arg = fn(arg)\n",
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" return arg\n",
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"\n",
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"################ Making immutable objects\n",
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" \n",
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"class Set(frozenset):\n",
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" \"A frozenset, but with a prettier printer.\"\n",
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@@ -960,8 +970,8 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"CPU times: user 6.15 s, sys: 19.9 ms, total: 6.17 s\n",
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"Wall time: 6.19 s\n"
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"CPU times: user 6.2 s, sys: 8.37 ms, total: 6.21 s\n",
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"Wall time: 6.21 s\n"
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]
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},
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{
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@@ -1422,16 +1432,16 @@
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}
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],
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"source": [
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"def run82(program):\n",
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"def run8_2(program):\n",
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" registers = defaultdict(int)\n",
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" highest = 0\n",
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" for r, inc, delta, _if, r2, cmp, amount in program:\n",
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" for (r, inc, delta, _if, r2, cmp, amount) in program:\n",
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" if operations[cmp](registers[r2], amount):\n",
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" registers[r] += delta * (+1 if inc == 'inc' else -1)\n",
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" highest = max(highest, registers[r])\n",
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" return highest\n",
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"\n",
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"run82(program8)"
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"run8_2(program8)"
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]
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},
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{
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@@ -2236,8 +2246,8 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"CPU times: user 15.2 s, sys: 18.4 ms, total: 15.3 s\n",
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"Wall time: 15.3 s\n"
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"CPU times: user 15.1 s, sys: 26.4 ms, total: 15.1 s\n",
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"Wall time: 15.2 s\n"
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]
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},
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{
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@@ -2290,8 +2300,8 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"CPU times: user 9.52 s, sys: 9 ms, total: 9.53 s\n",
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"Wall time: 9.54 s\n"
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"CPU times: user 9.39 s, sys: 8.62 ms, total: 9.4 s\n",
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"Wall time: 9.4 s\n"
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]
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},
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{
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@@ -2660,14 +2670,14 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"CPU times: user 1.57 s, sys: 7.74 ms, total: 1.58 s\n",
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"Wall time: 1.58 s\n"
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"CPU times: user 1.35 s, sys: 5.54 ms, total: 1.35 s\n",
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"Wall time: 1.35 s\n"
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]
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},
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{
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"data": {
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"text/plain": [
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"<__main__.Node at 0x111355438>"
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"<__main__.Node at 0x110c44be0>"
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]
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},
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"execution_count": 77,
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@@ -2700,8 +2710,8 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"CPU times: user 5.48 s, sys: 8.31 ms, total: 5.49 s\n",
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"Wall time: 5.49 s\n"
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"CPU times: user 5.47 s, sys: 6.62 ms, total: 5.48 s\n",
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"Wall time: 5.48 s\n"
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]
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},
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{
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@@ -3040,12 +3050,10 @@
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"source": [
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"def particles(lines=list(Input(20))):\n",
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" \"Parse the list of particles.\"\n",
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" return [Particle(id, line) for id, line in enumerate(lines)]\n",
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" return [Particle(id, *grouper(Integers(line), 3)) \n",
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" for id, line in enumerate(lines)]\n",
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"\n",
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"def Particle(id, line):\n",
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" \"Parse a single Particle.\"\n",
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" ns = Integers(line) # Assumes format \"p=<1,8,4>, v=<3,1,-8>, a=<7,8,-10>\" \n",
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" return Struct(id=id, p=ns[0:3], v=ns[3:6], a=ns[6:9])\n",
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"def Particle(id, p, v, a): return Struct(id=id, p=p, v=v, a=a) \n",
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"\n",
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"particles()[:5]"
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]
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@@ -3131,6 +3139,381 @@
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"len(nth(map(remove_collisions, evolve(particles())), 1000))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# [Day 21](https://adventofcode.com/2017/day/21): Fractal Art\n",
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"\n",
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"First I'll create a `dict` of enhancement rules. I'll translate `'#'` and `'.'` pixels to 1 and 0, and represent a grid as a tuple of tuples (e.g. `((0, 0), (1, 1))`), so that it can be a `dict` key. I have to deal with rotations and flips; I could do that at lookup time, but it will be faster to do it at rule creation time:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 89,
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"metadata": {},
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"outputs": [],
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"source": [
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"def Enhancements(lines):\n",
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" \"Create a dict of {square: enhanced_square}\"\n",
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" enhancements = {}\n",
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" for line in lines:\n",
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" lhs, rhs = map(Key, line.split('=>'))\n",
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" for r in range(4):\n",
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" enhancements[lhs] = enhancements[flip(lhs)] = rhs\n",
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" lhs = rotate(lhs)\n",
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" return enhancements\n",
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" \n",
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"def Key(line): \n",
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" \"Key('../##') => ((0, 0), (1, 1))\"\n",
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" bits = {'#': 1, '.': 0}\n",
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" return tuple(tuple(bits[p] for p in row.strip())\n",
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" for row in line.split('/'))\n",
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" \n",
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"def rotate(key): return tuple(zip(*reversed(key)))\n",
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"\n",
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"def flip(L): return tuple(tuple(reversed(row)) for row in L)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Let's test this on just the enhancement rules with 2x2 squares; with rotations and flips there should be 16 entries:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 90,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"{((0, 0), (0, 0)): ((0, 0, 0), (0, 1, 0), (0, 1, 0)),\n",
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" ((0, 0), (0, 1)): ((0, 0, 0), (1, 0, 0), (1, 0, 0)),\n",
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" ((0, 0), (1, 0)): ((0, 0, 0), (1, 0, 0), (1, 0, 0)),\n",
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" ((0, 0), (1, 1)): ((1, 0, 1), (0, 1, 0), (0, 1, 0)),\n",
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" ((0, 1), (0, 0)): ((0, 0, 0), (1, 0, 0), (1, 0, 0)),\n",
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" ((0, 1), (0, 1)): ((1, 0, 1), (0, 1, 0), (0, 1, 0)),\n",
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" ((0, 1), (1, 0)): ((1, 1, 0), (1, 1, 0), (0, 0, 0)),\n",
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" ((0, 1), (1, 1)): ((0, 1, 1), (1, 1, 1), (1, 0, 0)),\n",
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" ((1, 0), (0, 0)): ((0, 0, 0), (1, 0, 0), (1, 0, 0)),\n",
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" ((1, 0), (0, 1)): ((1, 1, 0), (1, 1, 0), (0, 0, 0)),\n",
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" ((1, 0), (1, 0)): ((1, 0, 1), (0, 1, 0), (0, 1, 0)),\n",
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" ((1, 0), (1, 1)): ((0, 1, 1), (1, 1, 1), (1, 0, 0)),\n",
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" ((1, 1), (0, 0)): ((1, 0, 1), (0, 1, 0), (0, 1, 0)),\n",
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" ((1, 1), (0, 1)): ((0, 1, 1), (1, 1, 1), (1, 0, 0)),\n",
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" ((1, 1), (1, 0)): ((0, 1, 1), (1, 1, 1), (1, 0, 0)),\n",
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" ((1, 1), (1, 1)): ((0, 1, 1), (1, 0, 0), (1, 1, 0))}"
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]
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},
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"execution_count": 90,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"Enhancements('''\n",
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"../.. => .../.#./.#.\n",
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"#./.. => .../#../#..\n",
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"##/.. => #.#/.#./.#.\n",
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".#/#. => ##./##./...\n",
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"##/#. => .##/###/#..\n",
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"##/## => .##/#../##.\n",
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"'''.strip().splitlines())"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 91,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"16"
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]
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},
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"execution_count": 91,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"len(_)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Looks good; let's create my complete table. There should be 2<sup>4</sup> + 2<sup>9</sup> entries:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 92,
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"metadata": {},
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"outputs": [],
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"source": [
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"enhancements = Enhancements(Input(21))\n",
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"\n",
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"assert len(enhancements) == 2 ** 4 + 2 ** 9"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Now on each iteration we `enhance` the grid by first `expand`-ing it (looking up each `slice` in the `enhancements` rules) and then `stitch` the pieces together:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 93,
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"metadata": {},
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"outputs": [],
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"source": [
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"def enhance(grid): \n",
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" \"Expand small pieces into bigger ones and stitch them together.\"\n",
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" return stitch(expand(grid))\n",
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"\n",
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"def expand(grid):\n",
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" \"Slice the grid into d x d pieces and enhance each piece.\"\n",
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" N = len(grid[0])\n",
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" d = (2 if N % 2 == 0 else 3 if N % 3 == 0 else error())\n",
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" return [[enhancements[slice(grid, r, c, d)]\n",
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" for c in range(0, N, d)]\n",
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" for r in range(0, N, d)]\n",
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"\n",
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"def stitch(pieces): \n",
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" \"Stitch the pieces back into one big grid.\"\n",
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" N = sum(map(len, pieces[0]))\n",
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" return tuple(tuple(get(pieces, r, c) \n",
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" for c in range(N))\n",
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" for r in range(N))\n",
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"\n",
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"def get(pieces, r, c):\n",
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" \"The pixel at location (r, c), from a matrix of d x d pieces.\"\n",
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" d = len(pieces[0][0])\n",
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" row = pieces[r // d]\n",
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" cell = row[c // d]\n",
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" return cell[r % d][c % d]\n",
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"\n",
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"def slice(grid, r, c, d):\n",
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" \"The d x d slice of grid starting at position (r, c)\"\n",
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" return tuple(row[c:c+d] for row in grid[r:r+d])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 94,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"((0, 1, 0), (0, 0, 1), (1, 1, 1))"
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]
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},
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"execution_count": 94,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"grid = Key('.#./..#/###')\n",
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"grid"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 95,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[[((1, 0, 1, 0), (0, 0, 1, 0), (0, 1, 0, 1), (0, 1, 0, 0))]]"
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]
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},
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"execution_count": 95,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"expand(_)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 96,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"((1, 0, 1, 0), (0, 0, 1, 0), (0, 1, 0, 1), (0, 1, 0, 0))"
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]
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},
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"execution_count": 96,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"stitch(_)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 97,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"[[((0, 0, 0), (1, 0, 0), (1, 0, 0)), ((1, 0, 1), (0, 1, 0), (0, 1, 0))],\n",
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" [((1, 0, 1), (0, 1, 0), (0, 1, 0)), ((0, 0, 0), (1, 0, 0), (1, 0, 0))]]"
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]
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},
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"execution_count": 97,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"expand(_)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 98,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"((0, 0, 0, 1, 0, 1),\n",
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" (1, 0, 0, 0, 1, 0),\n",
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" (1, 0, 0, 0, 1, 0),\n",
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" (1, 0, 1, 0, 0, 0),\n",
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" (0, 1, 0, 1, 0, 0),\n",
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" (0, 1, 0, 1, 0, 0))"
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]
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},
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"execution_count": 98,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"stitch(_)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 99,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"12"
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]
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},
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"execution_count": 99,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"sum(flatten(_))"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
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"That looks right; Let's try to solve the puzzle:"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 100,
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"metadata": {},
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"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"147"
|
||||
]
|
||||
},
|
||||
"execution_count": 100,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"sum(flatten(repeat(5, enhance, grid)))"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"**Part Two**\n",
|
||||
"\n",
|
||||
"It looked like I didn't need to change any code to do Part Two, just change the `5` to an `18`. I ran it, and got an answer in a few seconds—but the answer was wrong. I went back and carefully looked over my code, and realized there was a place in `expand` where I had swapped the order of `r` and `c` (the code there is fixed now). Apparently there is some symmetry over the first 5 enhancements that yields the correct answer either way, but that breaks down over 18 enhancements. (Also: if I had guessed that `sum(flatten(repeat(n, enhance, grid)))` would be used in both parts, I probably would have created a function for it. But I was guessing that Part Two would involve `enhance`, but not necessarily in the same way as Part One.)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 101,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"text/plain": [
|
||||
"1936582"
|
||||
]
|
||||
},
|
||||
"execution_count": 101,
|
||||
"metadata": {},
|
||||
"output_type": "execute_result"
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"sum(flatten(repeat(18, enhance, grid)))"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"# A Note on Reuse\n",
|
||||
"\n",
|
||||
"One interesting question about these two-part problems: how does the code in Part Two use the code in Part One? \n",
|
||||
"Here are my answers:\n",
|
||||
"\n",
|
||||
"* **All new**: All the code for Part Two (except possibly reading and parsing the input) is brand new: \n",
|
||||
"<br>Days 1, 2, 4, 7\n",
|
||||
"\n",
|
||||
"* **Reuse as is**: The major function defined in Part One is called again in Part Two (and some new code\n",
|
||||
"is also written):\n",
|
||||
"<br>Days 3 (`spiral`), 6 (`spread`, but `realloc2` is copy-paste-edit), 9, 12, 14 (`bits`), \n",
|
||||
"15 (`A, B, gen, judge`), 16 (`perform`), 19 (`follow_tubes`), 20 (`evolve, particles`), 21 (`expands`, `gridsum`)\n",
|
||||
"\n",
|
||||
"* **Generalize**: A major function from Part One is generalized in Part Two (e.g. by adding an optional parameter):\n",
|
||||
"<br>Days 13 (`caught`)\n",
|
||||
"\n",
|
||||
"* **Copy-paste-edit**: The major function from Part One is copied and edited for Part Two:\n",
|
||||
"<br>Days 5 (`run2`), 8 (`run82`), 10 (`knothash2`), 11 (`follow2`), 17 (`spinlock2`), 18 (`step18`)\n",
|
||||
"\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
@@ -3142,15 +3525,15 @@
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 89,
|
||||
"execution_count": 106,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"CPU times: user 46.8 s, sys: 62.8 ms, total: 46.9 s\n",
|
||||
"Wall time: 46.9 s\n"
|
||||
"CPU times: user 54.6 s, sys: 156 ms, total: 54.7 s\n",
|
||||
"Wall time: 54.9 s\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
@@ -3177,7 +3560,7 @@
|
||||
"day(7, first(programs - set(flatten(above.values()))), 'wiapj', \n",
|
||||
" correct(wrongest(programs)), 1072)\n",
|
||||
"day(8, max(run8(program8).values()), 6828, \n",
|
||||
" run82(program8), 7234)\n",
|
||||
" run8_2(program8), 7234)\n",
|
||||
"day(9, total_score(text2), 9662, \n",
|
||||
" len(text1) - len(text3), 4903)\n",
|
||||
"day(10, knothash(stream), 4480, \n",
|
||||
@@ -3201,26 +3584,28 @@
|
||||
"day(19, cat(filter(str.isalpha, follow_tubes(diagram))), 'VEBTPXCHLI', \n",
|
||||
" quantify(follow_tubes(diagram)), 18702)\n",
|
||||
"day(20, closest(nth(evolve(particles()), 1000)).id, 243,\n",
|
||||
" len(nth(map(remove_collisions, evolve(particles())), 1000)), 648)"
|
||||
" len(nth(map(remove_collisions, evolve(particles())), 1000)), 648)\n",
|
||||
"day(21, sum(flatten(repeat(5, enhance, grid))), 147,\n",
|
||||
" sum(flatten(repeat(18, enhance, grid))), 1936582)"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "markdown",
|
||||
"metadata": {},
|
||||
"source": [
|
||||
"And here is a plot of the time taken to program solutions to both parts of each puzzle each day, for me, the first person to finish, and the hundredth person. On days when I started late, the times are estimates, not exact (these include days 1, 3, 8, 13, 14, 17, 18)."
|
||||
"And here is a plot of the time taken to program solutions to both parts of each puzzle each day, for me, the first person to finish, and the hundredth person. On days when I started late, the times are my estimates, not official times (these include days 1, 3, 8, 13, 14, 17, 18, 21)."
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 90,
|
||||
"execution_count": 104,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"data": {
|
||||
"image/png": 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truncated
|
||||
"image/png": 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truncated
|
||||
"text/plain": [
|
||||
"<matplotlib.figure.Figure at 0x11135c358>"
|
||||
"<matplotlib.figure.Figure at 0x110fb68d0>"
|
||||
]
|
||||
},
|
||||
"metadata": {},
|
||||
@@ -3238,9 +3623,9 @@
|
||||
"\n",
|
||||
"x = None\n",
|
||||
"plot_times([\n",
|
||||
" ('Me', 'd:', 4, 6, 20, 5, 12, 30, 33, 10, 21, 40, 13, 12, 30, 41, 13, 64, 54, 74, 50, 18),\n",
|
||||
" ('100th', 'v:', 6, 6, 23, 4, 5, 9, 25, 8, 12, 25, 12, 9, 22, 25, 10, 27, 16, 41, 18, 21),\n",
|
||||
" ('1st', '^:', 1, 1, 4, 1, 2, 3, 10, 3, 4, 6, 3, 2, 6, 5, 2, 5, 5, 10, 5, 7)])"
|
||||
" ('Me', 'd:', 4, 6, 20, 5, 12, 30, 33, 10, 21, 40, 13, 12, 30, 41, 13, 64, 54, 74, 50, 18, 40),\n",
|
||||
" ('100th', 'v:', 6, 6, 23, 4, 5, 9, 25, 8, 12, 25, 12, 9, 22, 25, 10, 27, 16, 41, 18, 21, 45),\n",
|
||||
" ('1st', '^:', 1, 1, 4, 1, 2, 3, 10, 3, 4, 6, 3, 2, 6, 5, 2, 5, 5, 10, 5, 7, 10)])"
|
||||
]
|
||||
}
|
||||
],
|
||||
|
||||
Reference in new issue
Block a user