From 2114a1f18b291e9fcd9e89079f3044bfe40f0eab Mon Sep 17 00:00:00 2001 From: oskar Date: Mon, 8 Sep 2025 13:00:41 +0200 Subject: [PATCH] MacBook-Pro-de-Oscar.local 2025-9-8:13:0:41 --- Bertrand GENTOU.md | 15 +++++++++++++++ cours algorithmique et complexité.md | 2 ++ ...inimale algorithme de tri par comparaison.md | 14 ++++++++++++++ sources/cours/.DS_Store | Bin 6148 -> 6148 bytes .../LOGOS S1/M1_algo_chap1_algos_de_tri.pdf | Bin 0 -> 261480 bytes 5 files changed, 31 insertions(+) create mode 100644 Bertrand GENTOU.md create mode 100644 démonstration complexité minimale algorithme de tri par comparaison.md create mode 100644 sources/cours/LOGOS S1/M1_algo_chap1_algos_de_tri.pdf diff --git a/Bertrand GENTOU.md b/Bertrand GENTOU.md new file mode 100644 index 00000000..171315da --- /dev/null +++ b/Bertrand GENTOU.md @@ -0,0 +1,15 @@ +--- +tags: + - "#t/personne" +--- + +email:: bertrand.gentou@u-paris.fr + +```breadcrumbs +title: "Sous-notes" +type: tree +collapse: false +show-attributes: [field] +field-groups: [downs] +depth: [0, 0] +``` diff --git a/cours algorithmique et complexité.md b/cours algorithmique et complexité.md index 3eb395bd..baf3ded9 100644 --- a/cours algorithmique et complexité.md +++ b/cours algorithmique et complexité.md @@ -20,5 +20,7 @@ number headings: auto, first-level 1, max 3, 1.1 - # 1 - Algorithmes de tris +[[M1_algo_chap1_algos_de_tri.pdf]] +[[démonstration complexité minimale algorithme de tri par comparaison]] diff --git a/démonstration complexité minimale algorithme de tri par comparaison.md b/démonstration complexité minimale algorithme de tri par comparaison.md new file mode 100644 index 00000000..c282efaa --- /dev/null +++ b/démonstration complexité minimale algorithme de tri par comparaison.md @@ -0,0 +1,14 @@ +--- +up: + - "[[algorithme de tri par comparaison]]" +tags: + - s/informatique + - excalidraw +--- +Pour une liste de $n$ éléments, on a un espace de $n!$ permutations possible, dont on cherche celle qui corresponde à une liste triée. + +En partant de notre liste de départ, on fait des comparaisons qui nous donnent chaque fois un résultat booléen. L'arbre des actions est donc un arbre binaire (on choisit notre branche en fonction du résultat de la comparaison). 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