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@QuantumFractal
Created January 28, 2019 21:46
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trapped knight notebook
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"hide_input": true
},
"source": [
"# The Trapped Knight Problem"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"this is markdown etc\n",
" - bullets\n",
" \n",
" "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/Project.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/Manifest.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n",
"\u001b[32m\u001b[1m Resolving\u001b[22m\u001b[39m package versions...\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/Project.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n",
"\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m `~/.julia/Manifest.toml`\n",
"\u001b[90m [no changes]\u001b[39m\n"
]
}
],
"source": [
"import Pkg\n",
"Pkg.add(\"Crayons\")\n",
"Pkg.add(\"PyPlot\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"Figure(PyObject <Figure size 640x480 with 1 Axes>)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"2084\n"
]
}
],
"source": [
"# ulam spiral\n",
"using PyPlot\n",
"\n",
"knight_deltas = [(-2, -1), (-2, +1), (+2, -1), (+2, +1), (-1, -2), (-1, +2), (+1, -2), (+1, +2)]\n",
"\n",
"function main()\n",
" visited = Set(1)\n",
" path = Array{Tuple{Int, Int}}(undef, 0)\n",
" ordered = Int16[]\n",
" push!(ordered, 1)\n",
" pos = (0,0)\n",
" val = 1\n",
"\n",
" while val > 0\n",
" pos, val = next_move(pos, visited)\n",
" push!(path, pos)\n",
" push!(visited, val)\n",
" push!(ordered, val)\n",
" end\n",
"\n",
" pop!(path)\n",
" \n",
" title(\"Trapped Knight\");\n",
" grid(\"on\")\n",
" axis(\"equal\");\n",
" \n",
" annotate(\"Knight gets trapped here\", xy=path[end], xytext=(-40, 25), arrowprops=Dict(\"arrowstyle\" => \"->\", \"connectionstyle\" => \"arc3,rad=0\"))\n",
" plot(first.(path), last.(path), linewidth=1.0)\n",
"\n",
" println(ordered[end-1])\n",
"end\n",
"\n",
"\n",
"function next_move(pos, visited)\n",
" moves = Dict()\n",
" for delta in knight_deltas\n",
" move = pos .+ delta\n",
" val = ulam_map(move...)\n",
" if !in(val, visited)\n",
" moves[val] = move\n",
" end\n",
" end\n",
"\n",
" if length(moves) > 0\n",
" min_val = reduce((x, y) -> x ≤ y ? x : y, keys(moves))\n",
" min_move = moves[min_val]\n",
" return (min_move, min_val)\n",
" else\n",
" return ((0,0), -1)\n",
" end\n",
"end\n",
"\n",
"function ulam_map(x, y)\n",
" if x == y == 0\n",
" # Center, sorry it's an outlier :/\n",
" return 1\n",
" elseif -x < y <= x\n",
" # Q1 -> NE\n",
" n = abs(x)\n",
" return 4n^2 - 2n + 1 - n + y\n",
" elseif -y <= x < y\n",
" # Q2 -> NW\n",
" n = abs(y)\n",
" return 4n^2 + 1 - n - x\n",
" elseif x <= y < -x\n",
" # Q3 -> SW\n",
" n = abs(x)\n",
" return 4n^2 + n + 1 - y\n",
" elseif y < x <= -y\n",
" # Q4 -> SE\n",
" n = abs(y)\n",
" return 4n^2 + 3n + 1 + x\n",
" end\n",
"end\n",
"\n",
"main()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"ename": "PyCall.PyError",
"evalue": "PyError ($(Expr(:escape, :(ccall(#= /home/jrun/.julia/packages/PyCall/0jMpb/src/pyfncall.jl:44 =# @pysym(:PyObject_Call), PyPtr, (PyPtr, PyPtr, PyPtr), o, pyargsptr, kw))))) <type 'exceptions.TypeError'>\nTypeError('__init__() takes at least 3 arguments (1 given)',)\n File \"/usr/local/lib/python2.7/dist-packages/matplotlib/pyplot.py\", line 3841, in annotate\n ret = gca().annotate(*args, **kwargs)\n File \"/usr/local/lib/python2.7/dist-packages/matplotlib/axes/_axes.py\", line 647, in annotate\n a = mtext.Annotation(*args, **kwargs)\n",
"output_type": "error",
"traceback": [
"PyError ($(Expr(:escape, :(ccall(#= /home/jrun/.julia/packages/PyCall/0jMpb/src/pyfncall.jl:44 =# @pysym(:PyObject_Call), PyPtr, (PyPtr, PyPtr, PyPtr), o, pyargsptr, kw))))) <type 'exceptions.TypeError'>\nTypeError('__init__() takes at least 3 arguments (1 given)',)\n File \"/usr/local/lib/python2.7/dist-packages/matplotlib/pyplot.py\", line 3841, in annotate\n ret = gca().annotate(*args, **kwargs)\n File \"/usr/local/lib/python2.7/dist-packages/matplotlib/axes/_axes.py\", line 647, in annotate\n a = mtext.Annotation(*args, **kwargs)\n",
"",
"Stacktrace:",
" [1] pyerr_check at /home/jrun/.julia/packages/PyCall/0jMpb/src/exception.jl:60 [inlined]",
" [2] pyerr_check at /home/jrun/.julia/packages/PyCall/0jMpb/src/exception.jl:64 [inlined]",
" [3] macro expansion at /home/jrun/.julia/packages/PyCall/0jMpb/src/exception.jl:84 [inlined]",
" [4] __pycall!(::PyCall.PyObject, ::Ptr{PyCall.PyObject_struct}, ::PyCall.PyObject, ::Ptr{Nothing}) at /home/jrun/.julia/packages/PyCall/0jMpb/src/pyfncall.jl:44",
" [5] _pycall!(::PyCall.PyObject, ::PyCall.PyObject, ::Tuple{}, ::Int64, ::Ptr{Nothing}) at /home/jrun/.julia/packages/PyCall/0jMpb/src/pyfncall.jl:29",
" [6] #pycall#88 at /home/jrun/.julia/packages/PyCall/0jMpb/src/pyfncall.jl:11 [inlined]",
" [7] pycall at /home/jrun/.julia/packages/PyCall/0jMpb/src/pyfncall.jl:86 [inlined]",
" [8] #annotate#9(::Base.Iterators.Pairs{Union{},Union{},Tuple{},NamedTuple{(),Tuple{}}}, ::Function) at /home/jrun/.julia/packages/PyPlot/fZuOQ/src/PyPlot.jl:179",
" [9] annotate() at /home/jrun/.julia/packages/PyPlot/fZuOQ/src/PyPlot.jl:176",
" [10] top-level scope at In[11]:2"
]
}
],
"source": [
"using PyPlot\n",
"annotate(\"hello\", 10, 10)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"hide_input": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.0.3",
"language": "julia",
"name": "julia-1.0"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.0.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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