From 9fc5bd44f950e330586ddcab5125f4d73ce63ba1 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Sun, 10 Sep 2023 13:51:51 +0200 Subject: [PATCH 1/2] =?UTF-8?q?Notebooks=20sur=20le=20jeu=20d=C3=A9=20et?= =?UTF-8?q?=20son=20parcours?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _doc/practice/index_python.rst | 1 + _doc/practice/py-base/code_liste_tuple.ipynb | 4 + _doc/practice/py-base/de_rotation.ipynb | 198 ++++++++++++++++++ _doc/practice/py-base/images/exo_des.png | Bin 0 -> 184946 bytes .../structures_donnees_conversion.ipynb | 2 +- 5 files changed, 204 insertions(+), 1 deletion(-) create mode 100644 _doc/practice/py-base/de_rotation.ipynb create mode 100644 _doc/practice/py-base/images/exo_des.png diff --git a/_doc/practice/index_python.rst b/_doc/practice/index_python.rst index 112fa1a0..ac99418d 100644 --- a/_doc/practice/index_python.rst +++ b/_doc/practice/index_python.rst @@ -32,6 +32,7 @@ Exercices sur le langage python py-base/tri_nlnd py-base/histogramme_rapide py-base/exercice_pi + py-base/de_rotation .. toctree:: :maxdepth: 1 diff --git a/_doc/practice/py-base/code_liste_tuple.ipynb b/_doc/practice/py-base/code_liste_tuple.ipynb index 92842a45..1124f499 100644 --- a/_doc/practice/py-base/code_liste_tuple.ipynb +++ b/_doc/practice/py-base/code_liste_tuple.ipynb @@ -219,6 +219,10 @@ "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.10.12" } }, "nbformat": 4, diff --git a/_doc/practice/py-base/de_rotation.ipynb b/_doc/practice/py-base/de_rotation.ipynb new file mode 100644 index 00000000..783b1a0d --- /dev/null +++ b/_doc/practice/py-base/de_rotation.ipynb @@ -0,0 +1,198 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Jeu de dé, rotation sur un circuit" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "Image(\"images/exo_des.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quelques remarques pour commencer. La solution est indépendante de la position initiale. Le dé fait trois rotations dans un sens, trois dans un autre, trois dans le sens opposé au sens précédent, et encore trois. Il faut ensuite comparer la position obtenue avec la position initiale. On peut remarquer que quatre rotations dans un sens et le dé revient dans sa position initiale. Donc trois rotations dans un sens amènent sont équivalente à une rotation dans le sens opposé. Il ne faut plus qu'à représenter les deux rotations. On peut représenter le dé dans sa position initiale comme ceci.\n", + "\n", + "```\n", + " 4\n", + "2 6 5 1\n", + " 3\n", + "```\n", + "\n", + "On choisit un tableau pour représenter les faces en les numérotant de 0 à 5 :\n", + "\n", + "```\n", + " 4\n", + "0 1 2 3\n", + " 5\n", + "```\n", + "Le dé initial est donc : ``2 6 5 1 4 3``. La première rotation fait tourner le dé initiale comme ceci :\n", + "```\n", + " 4\n", + "1 2 6 5\n", + " 3\n", + "```\n", + "\n", + "Et cela donne : ``1 2 6 5 4 3``. La seconde aboutit à - les faces 1 et 6 ne bougent pas.\n", + "```\n", + " 5\n", + "4 6 3 1\n", + " 2\n", + "```\n", + "Soit ``4 6 3 1 5 2``.\n", + "\n", + "On code donc les deux rotations comme ceci :" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def rotation1(de: list[int])->list[int]:\n", + " \"\"\"\n", + " [2 6 5 1 4 3] -> [1 2 6 5 4 3]\n", + " \"\"\"\n", + " nouveau_de = de.copy() # le copie évite de modifier le dé initial\n", + " nouveau_de[1:4] = de[:3]\n", + " nouveau_de[0] = de[3]\n", + " return nouveau_de\n", + "\n", + "def rotation2(de: list[int])->list[int]:\n", + " \"\"\"\n", + " [2 6 5 1 4 3] -> [4 6 3 1 5 2]\n", + " \"\"\"\n", + " nouveau_de = de.copy() # le copie évite de modifier le dé initial\n", + " nouveau_de[0] = de[4]\n", + " nouveau_de[2] = de[5]\n", + " nouveau_de[4] = de[0]\n", + " nouveau_de[5] = de[2]\n", + " return nouveau_de\n", + "\n", + "\n", + "def test_rotation1():\n", + " de0 = de = [2,6,5, 1, 4, 3]\n", + " for i in range(4):\n", + " de = rotation1(de)\n", + " assert set(de) == set(de0)\n", + " assert de == de0\n", + " \n", + "def test_rotation2():\n", + " de0 = de = [2,6,5, 1, 4, 3]\n", + " for i in range(4):\n", + " de = rotation2(de)\n", + " assert set(de) == set(de0)\n", + " assert de == de0\n", + " \n", + "test_rotation1()\n", + "test_rotation2()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Tout va bien. Maintenant on applique 3 fois la rotation 1, 3 fois la rotation 2, 1 fois la rotation 1, 1 fois la rotation 2." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tour 1: [6, 4, 1, 3, 2, 5]\n", + "tour 2: [4, 2, 3, 5, 6, 1]\n", + "tour 3: [2, 6, 5, 1, 4, 3]\n" + ] + }, + { + "data": { + "text/plain": [ + "3" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def tourne_de(verbose:bool=False)->int:\n", + " de = de0 = [2,6,5, 1, 4, 3]\n", + " tour = 0\n", + " while tour < 50 and (de != de0 or tour == 0):\n", + " tour += 1\n", + " for r in range(3):\n", + " de = rotation1(de)\n", + " for r in range(3):\n", + " de = rotation2(de)\n", + " for r in range(1):\n", + " de = rotation1(de)\n", + " for r in range(1):\n", + " de = rotation2(de)\n", + " if verbose:\n", + " print(f\"tour {tour}: {de}\")\n", + " return tour\n", + "\n", + "tourne_de(True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La réponse ne figure pas parmi celles proposées. Etrange." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.10.12" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/_doc/practice/py-base/images/exo_des.png b/_doc/practice/py-base/images/exo_des.png new file mode 100644 index 0000000000000000000000000000000000000000..04cf741067167ccf7b6e9e4681378a8103a02eb7 GIT binary patch literal 184946 zcmd?RWmp{Bwl)eOxCTOSO>hFi-3jiYaS84c+}%C6yEYcwA-KDHaCi4xWUYPn{m%FM z{<`%%4PA8gtfB85bIi90mXi@hM!-dYfPg?27ZX;1fPn4=UMg^JfWI8E->d__AZ-;y z1tH2t@b`d|w?+ce0uT@tk%*5v(7-vowV0|c1O!3g>kBe+>&yTG;w4X9SU}N9>+s3b zSff9FClnVwIuz-{Xm*%14p`&Qd1tRZb{(!Q)hQ~wCM)69DKp)-<&VY(tnOzyrEJ42 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_doc/practice/py-base/de_rotation.ipynb | 21 +++++++++++++-------- 1 file changed, 13 insertions(+), 8 deletions(-) diff --git a/_doc/practice/py-base/de_rotation.ipynb b/_doc/practice/py-base/de_rotation.ipynb index 783b1a0d..1709f357 100644 --- a/_doc/practice/py-base/de_rotation.ipynb +++ b/_doc/practice/py-base/de_rotation.ipynb @@ -28,6 +28,7 @@ ], "source": [ "from IPython.display import Image\n", + "\n", "Image(\"images/exo_des.png\")" ] }, @@ -74,7 +75,7 @@ "metadata": {}, "outputs": [], "source": [ - "def rotation1(de: list[int])->list[int]:\n", + "def rotation1(de: list[int]) -> list[int]:\n", " \"\"\"\n", " [2 6 5 1 4 3] -> [1 2 6 5 4 3]\n", " \"\"\"\n", @@ -83,7 +84,8 @@ " nouveau_de[0] = de[3]\n", " return nouveau_de\n", "\n", - "def rotation2(de: list[int])->list[int]:\n", + "\n", + "def rotation2(de: list[int]) -> list[int]:\n", " \"\"\"\n", " [2 6 5 1 4 3] -> [4 6 3 1 5 2]\n", " \"\"\"\n", @@ -96,19 +98,21 @@ "\n", "\n", "def test_rotation1():\n", - " de0 = de = [2,6,5, 1, 4, 3]\n", + " de0 = de = [2, 6, 5, 1, 4, 3]\n", " for i in range(4):\n", " de = rotation1(de)\n", " assert set(de) == set(de0)\n", " assert de == de0\n", - " \n", + "\n", + "\n", "def test_rotation2():\n", - " de0 = de = [2,6,5, 1, 4, 3]\n", + " de0 = de = [2, 6, 5, 1, 4, 3]\n", " for i in range(4):\n", " de = rotation2(de)\n", " assert set(de) == set(de0)\n", " assert de == de0\n", - " \n", + "\n", + "\n", "test_rotation1()\n", "test_rotation2()" ] @@ -146,8 +150,8 @@ } ], "source": [ - "def tourne_de(verbose:bool=False)->int:\n", - " de = de0 = [2,6,5, 1, 4, 3]\n", + "def tourne_de(verbose: bool = False) -> int:\n", + " de = de0 = [2, 6, 5, 1, 4, 3]\n", " tour = 0\n", " while tour < 50 and (de != de0 or tour == 0):\n", " tour += 1\n", @@ -163,6 +167,7 @@ " print(f\"tour {tour}: {de}\")\n", " return tour\n", "\n", + "\n", "tourne_de(True)" ] },