mirror of
https://github.com/peter-tanner/advent-of-code-2023.git
synced 2024-11-30 14:00:16 +08:00
Add mathematica notebook
This commit is contained in:
parent
6019998a79
commit
900d67e6ff
384
day_6/lmao.nb
Normal file
384
day_6/lmao.nb
Normal file
|
|
@ -0,0 +1,384 @@
|
|||
(* Content-type: application/vnd.wolfram.mathematica *)
|
||||
|
||||
(*** Wolfram Notebook File ***)
|
||||
(* http://www.wolfram.com/nb *)
|
||||
|
||||
(* CreatedBy='Mathematica 13.1' *)
|
||||
|
||||
(*CacheID: 234*)
|
||||
(* Internal cache information:
|
||||
NotebookFileLineBreakTest
|
||||
NotebookFileLineBreakTest
|
||||
NotebookDataPosition[ 158, 7]
|
||||
NotebookDataLength[ 12582, 374]
|
||||
NotebookOptionsPosition[ 10548, 330]
|
||||
NotebookOutlinePosition[ 10991, 347]
|
||||
CellTagsIndexPosition[ 10948, 344]
|
||||
WindowFrame->Normal*)
|
||||
|
||||
(* Beginning of Notebook Content *)
|
||||
Notebook[{
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{"distance", "[",
|
||||
RowBox[{"ta_", ",", "tmax_"}], "]"}], ":=",
|
||||
RowBox[{"ta", "*",
|
||||
RowBox[{"(",
|
||||
RowBox[{"tmax", "-", "ta"}], ")"}]}]}]], "Input",
|
||||
CellChangeTimes->{{3.910830554108676*^9, 3.9108306636133547`*^9}, {
|
||||
3.910830792731876*^9, 3.9108308014356756`*^9}},
|
||||
CellLabel->"In[60]:=",ExpressionUUID->"624ef21e-1214-4c1e-8203-8c3593df0f47"],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{"solns", "[",
|
||||
RowBox[{"d_", ",", "tmax_"}], "]"}], ":=",
|
||||
RowBox[{"Reduce", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"distance", "[",
|
||||
RowBox[{"ta", ",", "tmax"}], "]"}], ">=",
|
||||
RowBox[{"d", "+", "1"}]}], ",", "ta", ",", "Integers"}],
|
||||
"]"}]}]], "Input",
|
||||
CellChangeTimes->{{3.910830664793231*^9, 3.910830768461315*^9}, {
|
||||
3.9108308358301888`*^9, 3.910830893177386*^9}, {3.91083159999152*^9,
|
||||
3.910831600632332*^9}, 3.9108317035574827`*^9, {3.9108322514715195`*^9,
|
||||
3.910832252140087*^9}},
|
||||
CellLabel->
|
||||
"In[103]:=",ExpressionUUID->"af0bc9ba-6faa-4a43-925d-5cf28361b552"],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{"solns", "[",
|
||||
RowBox[{"d", ",", "t"}], "]"}]], "Input",
|
||||
CellChangeTimes->{{3.910830852177159*^9, 3.9108309047354965`*^9}, {
|
||||
3.9108309441738977`*^9, 3.9108309453110065`*^9}},
|
||||
CellLabel->
|
||||
"In[104]:=",ExpressionUUID->"a7398fe7-f79d-4d74-aed9-0bcf1f309019"],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{"d", "|", "t", "|", "ta"}], ")"}], "\[Element]",
|
||||
TemplateBox[{},
|
||||
"Integers"]}], "&&",
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
RowBox[{"d", "<",
|
||||
RowBox[{
|
||||
FractionBox["1", "4"], " ",
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "+",
|
||||
SuperscriptBox["t", "2"]}], ")"}]}]}], "&&",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
FractionBox["t", "2"], "-",
|
||||
RowBox[{
|
||||
FractionBox["1", "2"], " ",
|
||||
SqrtBox[
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "-",
|
||||
RowBox[{"4", " ", "d"}], "+",
|
||||
SuperscriptBox["t", "2"]}]]}]}], "\[LessEqual]", "ta",
|
||||
"\[LessEqual]",
|
||||
RowBox[{
|
||||
FractionBox["t", "2"], "+",
|
||||
RowBox[{
|
||||
FractionBox["1", "2"], " ",
|
||||
SqrtBox[
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "-",
|
||||
RowBox[{"4", " ", "d"}], "+",
|
||||
SuperscriptBox["t", "2"]}]]}]}]}]}], ")"}], "||",
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
RowBox[{"d", "\[Equal]",
|
||||
RowBox[{
|
||||
FractionBox["1", "4"], " ",
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "+",
|
||||
SuperscriptBox["t", "2"]}], ")"}]}]}], "&&",
|
||||
RowBox[{"ta", "\[Equal]",
|
||||
FractionBox["t", "2"]}]}], ")"}]}], ")"}]}]], "Output",
|
||||
CellChangeTimes->{{3.9108308615447536`*^9, 3.9108309092895994`*^9},
|
||||
3.9108309506747766`*^9, 3.9108316036698585`*^9, 3.9108317072776127`*^9,
|
||||
3.9108337051742115`*^9},
|
||||
CellLabel->
|
||||
"Out[104]=",ExpressionUUID->"fa48354f-f14b-4f5e-970d-100184d5b2c8"]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{"Ceiling", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
FractionBox["t", "2"], "+",
|
||||
RowBox[{
|
||||
FractionBox["1", "2"], " ",
|
||||
SqrtBox[
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "-",
|
||||
RowBox[{"4", " ", "d"}], "+",
|
||||
SuperscriptBox["t", "2"]}]]}]}], ")"}], "/.",
|
||||
RowBox[{"d", "->", "9"}]}], "/.",
|
||||
RowBox[{"t", "->", "7"}]}], "]"}], "-",
|
||||
RowBox[{"Floor", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
FractionBox["t", "2"], "-",
|
||||
RowBox[{
|
||||
FractionBox["1", "2"], " ",
|
||||
SqrtBox[
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "-",
|
||||
RowBox[{"4", " ", "d"}], "+",
|
||||
SuperscriptBox["t", "2"]}]]}]}], ")"}], "/.",
|
||||
RowBox[{"d", "->", "9"}]}], "/.",
|
||||
RowBox[{"t", "->", "7"}]}], "]"}], "+", "1"}]], "Input",
|
||||
CellChangeTimes->{{3.9108329431081505`*^9, 3.910832958889887*^9}, {
|
||||
3.910832997637398*^9, 3.910833014484784*^9}, {3.910833047487764*^9,
|
||||
3.9108330607360363`*^9}, {3.9108331039349413`*^9, 3.910833106045411*^9}},
|
||||
CellLabel->"In[92]:=",ExpressionUUID->"0dc3bc50-d04b-4a82-84a4-ee514512abb1"],
|
||||
|
||||
Cell[BoxData["4"], "Output",
|
||||
CellChangeTimes->{{3.9108329593435154`*^9, 3.9108330152623253`*^9}, {
|
||||
3.910833048718202*^9, 3.9108330583168774`*^9}, {3.9108331008119144`*^9,
|
||||
3.910833106343421*^9}},
|
||||
CellLabel->"Out[92]=",ExpressionUUID->"29dc6697-c613-4243-ab7f-2e58b934c8a7"]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{"Floor", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
FractionBox["t", "2"], "+",
|
||||
RowBox[{
|
||||
FractionBox["1", "2"], " ",
|
||||
SqrtBox[
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "-",
|
||||
RowBox[{"4", " ", "d"}], "+",
|
||||
SuperscriptBox["t", "2"]}]]}]}], ")"}], "/.",
|
||||
RowBox[{"d", "->", "40"}]}], "/.",
|
||||
RowBox[{"t", "->", "15"}]}], "]"}], "-",
|
||||
RowBox[{"Ceiling", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
FractionBox["t", "2"], "-",
|
||||
RowBox[{
|
||||
FractionBox["1", "2"], " ",
|
||||
SqrtBox[
|
||||
RowBox[{
|
||||
RowBox[{"-", "4"}], "-",
|
||||
RowBox[{"4", " ", "d"}], "+",
|
||||
SuperscriptBox["t", "2"]}]]}]}], ")"}], "/.",
|
||||
RowBox[{"d", "->", "40"}]}], "/.",
|
||||
RowBox[{"t", "->", "15"}]}], "]"}]}]], "Input",
|
||||
CellChangeTimes->{{3.91083152178065*^9, 3.9108315366723814`*^9}, {
|
||||
3.9108316115240297`*^9, 3.910831715393162*^9}, 3.910831936431336*^9, {
|
||||
3.9108331120930853`*^9, 3.910833149149585*^9}},
|
||||
CellLabel->"In[96]:=",ExpressionUUID->"0744af6c-22e6-44bb-b872-3749bffd9349"],
|
||||
|
||||
Cell[BoxData["7"], "Output",
|
||||
CellChangeTimes->{
|
||||
3.910831536957239*^9, {3.910831619523261*^9, 3.9108317157944946`*^9},
|
||||
3.910831900391474*^9, 3.910831936702347*^9, {3.9108331227275314`*^9,
|
||||
3.9108331494585886`*^9}},
|
||||
CellLabel->"Out[96]=",ExpressionUUID->"2282631b-e9b4-451d-9e38-e350917631a2"]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"Minimize", "[",
|
||||
RowBox[{
|
||||
RowBox[{"{",
|
||||
RowBox[{"#", ",",
|
||||
RowBox[{"(",
|
||||
RowBox[{"#", ">", "0"}], ")"}]}], "}"}], ",",
|
||||
RowBox[{"C", "[", "1", "]"}], ",", "Integers"}], "]"}], "&"}], "/@",
|
||||
"sol"}]], "Input",
|
||||
CellChangeTimes->{{3.9108319376614375`*^9, 3.910832010711683*^9}, {
|
||||
3.9108322306958656`*^9, 3.910832236125099*^9}, {3.910832269200515*^9,
|
||||
3.910832297647604*^9}},
|
||||
CellLabel->"In[82]:=",ExpressionUUID->"dade4bb9-b1fc-4d70-bc8b-e328f8c61c65"],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{"{",
|
||||
RowBox[{
|
||||
RowBox[{"{",
|
||||
RowBox[{
|
||||
RowBox[{"\[Pi]", "-",
|
||||
RowBox[{"ArcSin", "[",
|
||||
FractionBox["1", "10"], "]"}]}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{
|
||||
TemplateBox[{"1"},
|
||||
"C"], "\[Rule]", "0"}], "}"}]}], "}"}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{
|
||||
RowBox[{"ArcSin", "[",
|
||||
FractionBox["1", "10"], "]"}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{
|
||||
TemplateBox[{"1"},
|
||||
"C"], "\[Rule]", "0"}], "}"}]}], "}"}]}], "}"}]], "Output",
|
||||
CellChangeTimes->{{3.9108319566746593`*^9, 3.9108320112542257`*^9},
|
||||
3.910832449144369*^9},
|
||||
CellLabel->"Out[82]=",ExpressionUUID->"94e3ce58-00d4-482d-ae91-2ea274288ba3"]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{"solns", "[",
|
||||
RowBox[{"9", ",", "7"}], "]"}]], "Input",
|
||||
CellChangeTimes->{{3.9108316331463156`*^9, 3.9108316568760734`*^9}, {
|
||||
3.9108332976389093`*^9, 3.910833314301951*^9}},
|
||||
CellLabel->"In[99]:=",ExpressionUUID->"cfedcdc6-ea97-42ee-b40d-bd0bd38733b0"],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{"ta", "\[Equal]", "2"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "3"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "4"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "5"}]}]], "Output",
|
||||
CellChangeTimes->{{3.9108316407378845`*^9, 3.910831657271968*^9}, {
|
||||
3.910831709839905*^9, 3.910831716887963*^9}, {3.9108332989346776`*^9,
|
||||
3.910833314770035*^9}},
|
||||
CellLabel->"Out[99]=",ExpressionUUID->"86e71248-8fb1-4c14-888e-5c482159a679"]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{"Minimize", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"distance", "[",
|
||||
RowBox[{"ta", ",", "tmax"}], "]"}], ">=",
|
||||
RowBox[{"d", "+", "1"}]}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{"ta", ",", "d"}], "}"}]}], "]"}]], "Input",
|
||||
CellChangeTimes->{{3.9108316418114777`*^9, 3.910831653463835*^9}, {
|
||||
3.9108317311152935`*^9, 3.9108318707137384`*^9}},
|
||||
CellLabel->"In[59]:=",ExpressionUUID->"8e6262a9-57b6-4709-a992-e3e205ae54d1"],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{"Minimize", "[",
|
||||
RowBox[{
|
||||
RowBox[{
|
||||
RowBox[{"ta", " ",
|
||||
RowBox[{"(",
|
||||
RowBox[{
|
||||
RowBox[{"-", "ta"}], "+", "tmax"}], ")"}]}], "\[GreaterEqual]",
|
||||
RowBox[{"1", "+", "d"}]}], ",",
|
||||
RowBox[{"{",
|
||||
RowBox[{"ta", ",", "d"}], "}"}]}], "]"}]], "Output",
|
||||
CellChangeTimes->{{3.9108316466243553`*^9, 3.9108316538018484`*^9}, {
|
||||
3.910831710681428*^9, 3.91083187099963*^9}},
|
||||
CellLabel->"Out[59]=",ExpressionUUID->"d61982d6-e5a2-4ce4-a62a-be538f9c5291"]
|
||||
}, Open ]],
|
||||
|
||||
Cell[CellGroupData[{
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{"solns", "[",
|
||||
RowBox[{"200", ",", "30"}], "]"}]], "Input",
|
||||
CellChangeTimes->{{3.910831571164252*^9, 3.9108315830489473`*^9}, {
|
||||
3.91083334799767*^9, 3.910833356461753*^9}},
|
||||
CellLabel->
|
||||
"In[102]:=",ExpressionUUID->"d29dfd04-8ad6-4b21-b7ad-4210d66fa98b"],
|
||||
|
||||
Cell[BoxData[
|
||||
RowBox[{
|
||||
RowBox[{"ta", "\[Equal]", "11"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "12"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "13"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "14"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "15"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "16"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "17"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "18"}], "||",
|
||||
RowBox[{"ta", "\[Equal]", "19"}]}]], "Output",
|
||||
CellChangeTimes->{{3.9108315761591825`*^9, 3.9108315833609295`*^9}, {
|
||||
3.9108333507539425`*^9, 3.9108333587688665`*^9}},
|
||||
CellLabel->
|
||||
"Out[102]=",ExpressionUUID->"056ca6b9-68e2-47b3-bc46-a7ea764971f4"]
|
||||
}, Open ]]
|
||||
},
|
||||
WindowSize->{1141.2, 575.4},
|
||||
WindowMargins->{{0, Automatic}, {Automatic, 0}},
|
||||
TaggingRules-><|"TryRealOnly" -> False|>,
|
||||
FrontEndVersion->"13.1 for Microsoft Windows (64-bit) (June 16, 2022)",
|
||||
StyleDefinitions->"Default.nb",
|
||||
ExpressionUUID->"11fc3d3b-9340-4d36-9a01-c970442d0b48"
|
||||
]
|
||||
(* End of Notebook Content *)
|
||||
|
||||
(* Internal cache information *)
|
||||
(*CellTagsOutline
|
||||
CellTagsIndex->{}
|
||||
*)
|
||||
(*CellTagsIndex
|
||||
CellTagsIndex->{}
|
||||
*)
|
||||
(*NotebookFileOutline
|
||||
Notebook[{
|
||||
Cell[558, 20, 390, 9, 28, "Input",ExpressionUUID->"624ef21e-1214-4c1e-8203-8c3593df0f47"],
|
||||
Cell[951, 31, 637, 16, 28, "Input",ExpressionUUID->"af0bc9ba-6faa-4a43-925d-5cf28361b552"],
|
||||
Cell[CellGroupData[{
|
||||
Cell[1613, 51, 285, 6, 28, "Input",ExpressionUUID->"a7398fe7-f79d-4d74-aed9-0bcf1f309019"],
|
||||
Cell[1901, 59, 1646, 53, 48, "Output",ExpressionUUID->"fa48354f-f14b-4f5e-970d-100184d5b2c8"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[3584, 117, 1190, 35, 45, "Input",ExpressionUUID->"0dc3bc50-d04b-4a82-84a4-ee514512abb1"],
|
||||
Cell[4777, 154, 279, 4, 32, "Output",ExpressionUUID->"29dc6697-c613-4243-ab7f-2e58b934c8a7"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[5093, 163, 1161, 35, 45, "Input",ExpressionUUID->"0744af6c-22e6-44bb-b872-3749bffd9349"],
|
||||
Cell[6257, 200, 302, 5, 32, "Output",ExpressionUUID->"2282631b-e9b4-451d-9e38-e350917631a2"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[6596, 210, 539, 14, 28, "Input",ExpressionUUID->"dade4bb9-b1fc-4d70-bc8b-e328f8c61c65"],
|
||||
Cell[7138, 226, 692, 22, 48, "Output",ExpressionUUID->"94e3ce58-00d4-482d-ae91-2ea274288ba3"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[7867, 253, 281, 5, 28, "Input",ExpressionUUID->"cfedcdc6-ea97-42ee-b40d-bd0bd38733b0"],
|
||||
Cell[8151, 260, 444, 9, 32, "Output",ExpressionUUID->"86e71248-8fb1-4c14-888e-5c482159a679"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[8632, 274, 451, 11, 28, "Input",ExpressionUUID->"8e6262a9-57b6-4709-a992-e3e205ae54d1"],
|
||||
Cell[9086, 287, 501, 13, 32, "Output",ExpressionUUID->"d61982d6-e5a2-4ce4-a62a-be538f9c5291"]
|
||||
}, Open ]],
|
||||
Cell[CellGroupData[{
|
||||
Cell[9624, 305, 283, 6, 28, "Input",ExpressionUUID->"d29dfd04-8ad6-4b21-b7ad-4210d66fa98b"],
|
||||
Cell[9910, 313, 622, 14, 32, "Output",ExpressionUUID->"056ca6b9-68e2-47b3-bc46-a7ea764971f4"]
|
||||
}, Open ]]
|
||||
}
|
||||
]
|
||||
*)
|
||||
|
||||
(* End of internal cache information *)
|
||||
|
||||
Loading…
Reference in New Issue
Block a user