From 29174087580678a1a5fa787c70b870d8f9bdab82 Mon Sep 17 00:00:00 2001
From: Louis <me@louisgallet.fr>
Date: Fri, 20 Oct 2023 15:33:32 +0200
Subject: [PATCH] vault backup: 2023-10-20 15:33:32

---
 .obsidian/workspace.json                      | 12 ++++++------
 Algo/Courses/Chapter 6 - Lists (Exercises).md | 18 ++++++++++++++++--
 2 files changed, 22 insertions(+), 8 deletions(-)

diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 932805e..793489c 100644
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -13,7 +13,7 @@
             "state": {
               "type": "markdown",
               "state": {
-                "file": "Algo/Courses/Chapter 6 - Lists (Exercises).md",
+                "file": "Algo/Séminaire/Chapter 3 - Case analysis.md",
                 "mode": "source",
                 "source": false
               }
@@ -97,7 +97,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "Algo/Courses/Chapter 6 - Lists (Exercises).md",
+                "file": "Algo/Séminaire/Chapter 3 - Case analysis.md",
                 "collapseAll": false,
                 "extraContext": false,
                 "sortOrder": "alphabetical",
@@ -114,7 +114,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "Algo/Courses/Chapter 6 - Lists (Exercises).md",
+                "file": "Algo/Séminaire/Chapter 3 - Case analysis.md",
                 "linksCollapsed": false,
                 "unlinkedCollapsed": true
               }
@@ -137,7 +137,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "Algo/Courses/Chapter 6 - Lists (Exercises).md"
+                "file": "Algo/Séminaire/Chapter 3 - Case analysis.md"
               }
             }
           },
@@ -168,13 +168,13 @@
       "command-palette:Open command palette": false
     }
   },
-  "active": "eaf65669cfff2a2c",
+  "active": "c473a791e2b34194",
   "lastOpenFiles": [
+    "Algo/Courses/Chapter 6 - Lists (Exercises).md",
     "Algo/Séminaire/Chapter 5 - Recursivity.md",
     "Algo/Courses/Chapter 6 - Lists.md",
     "Algo/Séminaire/Chapter 3 - Case analysis.md",
     "Algo/Séminaire/Chapter 2 - Functions.md",
-    "Algo/Courses/Chapter 6 - Lists (Exercises).md",
     "Algo/Séminaire/Chapter 1 - CAML basics.md",
     "Prog/Loops.md",
     "Algo/Séminaire/Chapter 4 - A bit of imperative.md",
diff --git a/Algo/Courses/Chapter 6 - Lists (Exercises).md b/Algo/Courses/Chapter 6 - Lists (Exercises).md
index 2a452e2..3b2ab39 100644
--- a/Algo/Courses/Chapter 6 - Lists (Exercises).md	
+++ b/Algo/Courses/Chapter 6 - Lists (Exercises).md	
@@ -282,6 +282,20 @@ Complexity : $O(\sum_{\forall{l\in{(el::ll)}}}^{}1+length(l))$
 ## Exercise 6.1
 ```Ocaml
 let rec decompose x =
-	if ()
-	if (x % 2) = 0 then
+	if x = 1 then
+		return x
+	else if x % 2 == 0 then
 		decompose(x/2)
+	else if x%3 = 0 then
+		decompose(x/3)
+	else if x%5 = 0 then
+		decompose(x/5)
+	else if x%7 = 0 then
+		decompose(x/7)
+	else if x%9 = 0 then
+		decompose(x/9)
+	else if x%11 = 0 then
+		decompose(x/11)
+	else if x%13 = 0 then
+		decompose(x/13)
+	else return x