From 12d3e24bf870d43b2b1312a44d8b409d06471b14 Mon Sep 17 00:00:00 2001
From: Morph01 <thibaut6969delastreet@gmail.com>
Date: Thu, 30 Jan 2025 16:55:26 +0100
Subject: [PATCH] feat: resolver backtrace simple

---
 .idea/compiler.xml                            |   6 +
 .idea/gradle.xml                              |  16 ++
 .idea/misc.xml                                |   5 +
 .idea/vcs.xml                                 |   6 +
 .idea/workspace.xml                           |  88 +++++++++++
 app/src/main/java/sudoku/ContrainteBloc.java  |   3 -
 .../main/java/sudoku/ContrainteColonne.java   |   3 -
 app/src/main/java/sudoku/ContrainteLigne.java |   3 -
 app/src/main/java/sudoku/Grille.java          | 141 +++++++++++++++---
 app/src/main/java/sudoku/Resolveur.java       |   5 +
 .../java/sudoku/ResolveurBacktraceSimple.java |  62 ++++++++
 app/src/main/java/sudoku/Sudoku.java          |  10 +-
 app/src/main/java/sudoku/Symbole.java         |   4 +
 .../test/java/sudoku/TestBlocRectangle.java   |  55 +++++++
 app/src/test/java/sudoku/TestLigne.java       |   3 -
 .../TestResolveurBacktraceSimpleSudoku16.java |  70 +++++++++
 .../TestResolveurBacktraceSimpleSudoku25.java |  56 +++++++
 .../TestResolveurBacktraceSimpleSudoku9.java  |  57 +++++++
 .../mermaid-diagram-2025-01-21-124116.svg     |   1 +
 .../actuel-classdiagram-intellij.svg          |   1 +
 .../uml-intellij/classDiagram.mermaid         | 131 ++++++++++++++++
 21 files changed, 687 insertions(+), 39 deletions(-)
 create mode 100644 .idea/compiler.xml
 create mode 100644 .idea/gradle.xml
 create mode 100644 .idea/misc.xml
 create mode 100644 .idea/vcs.xml
 create mode 100644 .idea/workspace.xml
 create mode 100644 app/src/main/java/sudoku/Resolveur.java
 create mode 100644 app/src/main/java/sudoku/ResolveurBacktraceSimple.java
 create mode 100644 app/src/test/java/sudoku/TestBlocRectangle.java
 create mode 100644 app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku16.java
 create mode 100644 app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku25.java
 create mode 100644 app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku9.java
 create mode 100644 readme_files/conception_uml/mermaid-diagram-2025-01-21-124116.svg
 create mode 100644 readme_files/conception_uml/uml-intellij/actuel-classdiagram-intellij.svg
 create mode 100644 readme_files/conception_uml/uml-intellij/classDiagram.mermaid

diff --git a/.idea/compiler.xml b/.idea/compiler.xml
new file mode 100644
index 0000000..b86273d
--- /dev/null
+++ b/.idea/compiler.xml
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="CompilerConfiguration">
+    <bytecodeTargetLevel target="21" />
+  </component>
+</project>
\ No newline at end of file
diff --git a/.idea/gradle.xml b/.idea/gradle.xml
new file mode 100644
index 0000000..efd7cbf
--- /dev/null
+++ b/.idea/gradle.xml
@@ -0,0 +1,16 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="GradleSettings">
+    <option name="linkedExternalProjectsSettings">
+      <GradleProjectSettings>
+        <option name="externalProjectPath" value="$PROJECT_DIR$" />
+        <option name="modules">
+          <set>
+            <option value="$PROJECT_DIR$" />
+            <option value="$PROJECT_DIR$/app" />
+          </set>
+        </option>
+      </GradleProjectSettings>
+    </option>
+  </component>
+</project>
\ No newline at end of file
diff --git a/.idea/misc.xml b/.idea/misc.xml
new file mode 100644
index 0000000..03872dd
--- /dev/null
+++ b/.idea/misc.xml
@@ -0,0 +1,5 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="ExternalStorageConfigurationManager" enabled="true" />
+  <component name="ProjectRootManager" version="2" languageLevel="JDK_21" default="true" project-jdk-name="21" project-jdk-type="JavaSDK" />
+</project>
\ No newline at end of file
diff --git a/.idea/vcs.xml b/.idea/vcs.xml
new file mode 100644
index 0000000..35eb1dd
--- /dev/null
+++ b/.idea/vcs.xml
@@ -0,0 +1,6 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="VcsDirectoryMappings">
+    <mapping directory="" vcs="Git" />
+  </component>
+</project>
\ No newline at end of file
diff --git a/.idea/workspace.xml b/.idea/workspace.xml
new file mode 100644
index 0000000..1fee3bf
--- /dev/null
+++ b/.idea/workspace.xml
@@ -0,0 +1,88 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<project version="4">
+  <component name="AutoImportSettings">
+    <option name="autoReloadType" value="SELECTIVE" />
+  </component>
+  <component name="ChangeListManager">
+    <list default="true" id="78fccc4f-112b-4fb4-8f59-c375aeac8595" name="Changes" comment="">
+      <change beforePath="$PROJECT_DIR$/app/src/main/java/sudoku/Symbole.java" beforeDir="false" afterPath="$PROJECT_DIR$/app/src/main/java/sudoku/Symbole.java" afterDir="false" />
+    </list>
+    <option name="SHOW_DIALOG" value="false" />
+    <option name="HIGHLIGHT_CONFLICTS" value="true" />
+    <option name="HIGHLIGHT_NON_ACTIVE_CHANGELIST" value="false" />
+    <option name="LAST_RESOLUTION" value="IGNORE" />
+  </component>
+  <component name="ExternalProjectsData">
+    <projectState path="$PROJECT_DIR$">
+      <ProjectState />
+    </projectState>
+  </component>
+  <component name="Git.Settings">
+    <option name="RECENT_GIT_ROOT_PATH" value="$PROJECT_DIR$" />
+  </component>
+  <component name="ProjectColorInfo"><![CDATA[{
+  "associatedIndex": 6
+}]]></component>
+  <component name="ProjectId" id="2rwHskpjH0QskAu0G8vmtPc1Ozz" />
+  <component name="ProjectViewState">
+    <option name="hideEmptyMiddlePackages" value="true" />
+    <option name="showLibraryContents" value="true" />
+  </component>
+  <component name="PropertiesComponent"><![CDATA[{
+  "keyToString": {
+    "RunOnceActivity.ShowReadmeOnStart": "true",
+    "RunOnceActivity.git.unshallow": "true",
+    "git-widget-placeholder": "feature/solveur",
+    "kotlin-language-version-configured": "true",
+    "last_opened_file_path": "/usr/lib/jvm/java-21-openjdk",
+    "node.js.detected.package.eslint": "true",
+    "node.js.detected.package.tslint": "true",
+    "node.js.selected.package.eslint": "(autodetect)",
+    "node.js.selected.package.tslint": "(autodetect)",
+    "nodejs_package_manager_path": "npm",
+    "project.structure.last.edited": "Project",
+    "project.structure.proportion": "0.0",
+    "project.structure.side.proportion": "0.0",
+    "settings.editor.selected.configurable": "reference.projectsettings.compiler.javacompiler",
+    "vue.rearranger.settings.migration": "true"
+  }
+}]]></component>
+  <component name="RunManager">
+    <configuration default="true" type="JetRunConfigurationType">
+      <method v="2">
+        <option name="Make" enabled="true" />
+      </method>
+    </configuration>
+    <configuration default="true" type="KotlinStandaloneScriptRunConfigurationType">
+      <option name="filePath" />
+      <method v="2" />
+    </configuration>
+  </component>
+  <component name="SharedIndexes">
+    <attachedChunks>
+      <set>
+        <option value="bundled-jdk-9823dce3aa75-125ca727e0f0-intellij.indexing.shared.core-IU-243.23654.117" />
+        <option value="bundled-js-predefined-d6986cc7102b-822845ee3bb5-JavaScript-IU-243.23654.117" />
+      </set>
+    </attachedChunks>
+  </component>
+  <component name="SpellCheckerSettings" RuntimeDictionaries="0" Folders="0" CustomDictionaries="0" DefaultDictionary="application-level" UseSingleDictionary="true" transferred="true" />
+  <component name="TaskManager">
+    <task active="true" id="Default" summary="Default task">
+      <changelist id="78fccc4f-112b-4fb4-8f59-c375aeac8595" name="Changes" comment="" />
+      <created>1737463425999</created>
+      <option name="number" value="Default" />
+      <option name="presentableId" value="Default" />
+      <updated>1737463425999</updated>
+      <workItem from="1737463427147" duration="1086000" />
+    </task>
+    <servers />
+  </component>
+  <component name="TypeScriptGeneratedFilesManager">
+    <option name="version" value="3" />
+  </component>
+  <component name="XSLT-Support.FileAssociations.UIState">
+    <expand />
+    <select />
+  </component>
+</project>
\ No newline at end of file
diff --git a/app/src/main/java/sudoku/ContrainteBloc.java b/app/src/main/java/sudoku/ContrainteBloc.java
index a0c27f9..5a1e3f3 100644
--- a/app/src/main/java/sudoku/ContrainteBloc.java
+++ b/app/src/main/java/sudoku/ContrainteBloc.java
@@ -1,7 +1,5 @@
 package sudoku;
 
-import sudoku.core.Console;
-
 public class ContrainteBloc implements Contrainte {
     @Override
     public boolean estRespectee(Grille grille, Case c) {
@@ -14,7 +12,6 @@ public class ContrainteBloc implements Contrainte {
             for (int j = 0; j < blocSize; j++) {
                 Case currentCase = grille.getCase(startRow + i, startCol + j);
                 if (currentCase != c && currentCase.getSymbole() != null && currentCase.getSymbole().equals(symbole)) {
-                    Console.errorln("La contrainte de bloc n'est pas respectee: ligne=" + (startRow + i) + ", col=" + (startCol + j) + ", symbole=" + symbole);
                     return false;
                 }
             }
diff --git a/app/src/main/java/sudoku/ContrainteColonne.java b/app/src/main/java/sudoku/ContrainteColonne.java
index c0744cd..d7e1464 100644
--- a/app/src/main/java/sudoku/ContrainteColonne.java
+++ b/app/src/main/java/sudoku/ContrainteColonne.java
@@ -1,7 +1,5 @@
 package sudoku;
 
-import sudoku.core.Console;
-
 public class ContrainteColonne implements Contrainte {
     @Override
     public boolean estRespectee(Grille grille, Case c) {
@@ -10,7 +8,6 @@ public class ContrainteColonne implements Contrainte {
         for (int ligne = 0; ligne < grille.getTaille(); ligne++) {
             Case currentCase = grille.getCase(ligne, colonne);
             if (currentCase != c && currentCase.getSymbole() != null && currentCase.getSymbole().equals(symbole)) {
-                Console.errorln("La contrainte de colonne n'est pas respectee: ligne=" + ligne + ", col=" + colonne + ", symbole=" + symbole);
                 return false;
             }
         }
diff --git a/app/src/main/java/sudoku/ContrainteLigne.java b/app/src/main/java/sudoku/ContrainteLigne.java
index 4a3ca55..464da89 100644
--- a/app/src/main/java/sudoku/ContrainteLigne.java
+++ b/app/src/main/java/sudoku/ContrainteLigne.java
@@ -1,7 +1,5 @@
 package sudoku;
 
-import sudoku.core.Console;
-
 public class ContrainteLigne implements Contrainte {
     @Override
     public boolean estRespectee(Grille grille, Case c) {
@@ -10,7 +8,6 @@ public class ContrainteLigne implements Contrainte {
         for (int col = 0; col < grille.getTaille(); col++) {
             Case currentCase = grille.getCase(ligne, col);
             if (currentCase != c && currentCase.getSymbole() != null && currentCase.getSymbole().equals(symbole)) {
-                Console.errorln("La contrainte de ligne n'est pas respectee: ligne=" + ligne + ", col=" + col + ", symbole=" + symbole);
                 return false;
             }
         }
diff --git a/app/src/main/java/sudoku/Grille.java b/app/src/main/java/sudoku/Grille.java
index 288c679..ff6021f 100644
--- a/app/src/main/java/sudoku/Grille.java
+++ b/app/src/main/java/sudoku/Grille.java
@@ -11,12 +11,14 @@ public class Grille {
     private final Case[][] cases;
     private final ArrayList<Bloc> blocs;
     private ArrayList<Symbole> symbolesPossibles;
+    private final Sudoku sudoku;
 
-    public Grille(int taille) {
+    public Grille(int taille, Sudoku sudoku) {
         this.taille = taille;
         this.cases = new Case[taille][taille];
         this.blocs = new ArrayList<>();
         this.symbolesPossibles = new ArrayList<>();
+        this.sudoku = sudoku;
 
         // Initialiser les cases
         for (int i = 0; i < taille; i++) {
@@ -31,11 +33,22 @@ public class Grille {
             if (symbole != null && !symbolesPossibles.contains(symbole)) {
                 throw new IllegalArgumentException("Symbole non autorisé : " + symbole);
             }
+            // Save ancien symbole
+            Symbole ancienSymbole = cases[ligne][colonne].getSymbole();
+
+            // Set nouveau symbole
             cases[ligne][colonne].setSymbole(symbole);
+
+            // Vérifier les contraintes
+            if (!sudoku.verifierToutesContraintes()) {
+                // Revert to ancien symbole
+                cases[ligne][colonne].setSymbole(ancienSymbole);
+                throw new IllegalArgumentException("SET CASE: Les contraintes ne sont pas respectées pour la case ("
+                        + ligne + ", " + colonne + ")");
+            }
         } catch (Exception e) {
             Console.errorln(e.getMessage());
         }
-
     }
 
     public Case getCase(int ligne, int colonne) {
@@ -49,9 +62,10 @@ public class Grille {
             "\u001B[33m" // Jaune
     };
 
-    private int getCouleurDisponible(int blocRow, int blocCol) {
+    private int getCouleurDisponible(int blocRow, int blocCol, int blocHeight, int blocWidth) {
         List<Integer> couleursUtilisees = new ArrayList<>();
-        int blocSize = (int) Math.sqrt(taille);
+        int blocsParLigne = taille / blocWidth;
+        int blocsParColonne = taille / blocHeight;
 
         // Parcourir les voisins (haut, bas, gauche, droite, et diagonaux)
         for (int dRow = -1; dRow <= 1; dRow++) {
@@ -63,9 +77,9 @@ public class Grille {
                 int voisinCol = blocCol + dCol;
 
                 // Vérifier si le voisin est dans les limites
-                if (voisinRow >= 0 && voisinRow < taille / blocSize &&
-                        voisinCol >= 0 && voisinCol < taille / blocSize) {
-                    int blockIndex = voisinRow * (taille / blocSize) + voisinCol;
+                if (voisinRow >= 0 && voisinRow < blocsParColonne &&
+                        voisinCol >= 0 && voisinCol < blocsParLigne) {
+                    int blockIndex = voisinRow * blocsParLigne + voisinCol;
                     if (blockIndex < blocs.size()) {
                         couleursUtilisees.add(blocs.get(blockIndex).getCouleurIndex());
                     }
@@ -102,19 +116,7 @@ public class Grille {
      * @param positions
      * @return
      */
-    public Bloc creerBloc(List<int[]> positions) {
-        int i = positions.get(0)[0];
-        int j = positions.get(0)[1];
-        int blocSize = (int) Math.sqrt(taille);
-        int couleurIndex = getCouleurDisponible(i / blocSize, j / blocSize);
-
-        Bloc bloc = new Bloc(QUATRE_COULEURS[couleurIndex], couleurIndex);
-        for (int[] pos : positions) {
-            bloc.ajouterCase(cases[pos[0]][pos[1]]);
-        }
-        blocs.add(bloc);
-        return bloc;
-    }
+    // TODO : Refactor to use BlocBuilder
 
     public void creerBlocCarre() {
         try {
@@ -138,7 +140,55 @@ public class Grille {
                         }
                     }
 
-                    int couleurIndex = getCouleurDisponible(blocRow, blocCol);
+                    int couleurIndex = getCouleurDisponible(blocRow, blocCol, blocSize, blocSize);
+                    Bloc bloc = new Bloc(QUATRE_COULEURS[couleurIndex], couleurIndex);
+
+                    for (int[] pos : positions) {
+                        bloc.ajouterCase(cases[pos[0]][pos[1]]);
+                    }
+                    blocs.add(bloc);
+                }
+            }
+        } catch (IllegalArgumentException e) {
+            Console.errorln(e.getMessage());
+        }
+    }
+
+    /**
+     * Crée des blocs rectangles automatiquement à partir de la taille de la grille
+     * Ne fonctionne pas pour les tailles de grilles qui sont des carrés parfaits
+     * 
+     * @param blocRow
+     * @param blocCol
+     * @param blocHeight
+     * @param blocWidth
+     */
+    public void creerBlocRectangulaire(int blocHeight, int blocWidth) {
+        try {
+            if (taille % blocHeight != 0 || taille % blocWidth != 0) {
+                throw new IllegalArgumentException(
+                        "La taille de la grille doit être divisible par les dimensions des blocs.");
+            }
+
+            int blocsParLigne = taille / blocWidth;
+            int blocsParColonne = taille / blocHeight;
+
+            // Create blocks in rectangular pattern
+            for (int blocRow = 0; blocRow < blocsParColonne; blocRow++) {
+                for (int blocCol = 0; blocCol < blocsParLigne; blocCol++) {
+                    List<int[]> positions = new ArrayList<>();
+
+                    // Add all positions for current block
+                    for (int i = 0; i < blocHeight; i++) {
+                        for (int j = 0; j < blocWidth; j++) {
+                            positions.add(new int[] {
+                                    blocRow * blocHeight + i,
+                                    blocCol * blocWidth + j
+                            });
+                        }
+                    }
+
+                    int couleurIndex = getCouleurDisponible(blocRow, blocCol, blocHeight, blocWidth);
                     Bloc bloc = new Bloc(QUATRE_COULEURS[couleurIndex], couleurIndex);
 
                     for (int[] pos : positions) {
@@ -266,6 +316,7 @@ public class Grille {
     /**
      * Vérifie si toutes les contraintes sont respectées
      * S'arrête dès qu'une contrainte n'est pas respectée
+     * 
      * @param contraintes
      * @return
      */
@@ -279,7 +330,8 @@ public class Grille {
                     // Vérifier toutes les contraintes pour cette case
                     for (Contrainte contrainte : contraintes) {
                         if (!contrainte.estRespectee(this, currentCase)) {
-                            Console.errorln("Contrainte non respectée à la position : ligne=" + i + ", colonne=" + j);
+                            Console.errorln(
+                                    "GRILLE: Contrainte non respectée à la position : ligne=" + i + ", colonne=" + j);
                             return false;
                         }
                     }
@@ -289,7 +341,52 @@ public class Grille {
         return true;
     }
 
+    public Case getCaseLibre() {
+        for (int i = 0; i < taille; i++) {
+            for (int j = 0; j < taille; j++) {
+                if (cases[i][j].getSymbole() == null) {
+                    return cases[i][j];
+                }
+            }
+        }
+        return null;
+    }
+
+    public int getLongueurSymboleLePlusLong() {
+        int max = 0;
+        for (Symbole symbole : symbolesPossibles) {
+            if (symbole.toString().length() > max) {
+                max = symbole.toString().length();
+            }
+        }
+        return max;
+    }
+
     @Override
+    // public String toString() {
+    //     StringBuilder sb = new StringBuilder();
+    //     int plusLongSymbole = this.getLongueurSymboleLePlusLong();
+
+    //     for (int i = 0; i < taille; i++) {
+    //         for (int j = 0; j < taille; j++) {
+    //             Case currentCase = cases[i][j];
+    //             Bloc bloc = findBlocForCase(currentCase);
+
+    //             if (bloc != null) {
+    //                 sb.append(bloc.getCouleur()) // Couleur du bloc
+    //                         .append(" ".repeat(plusLongSymbole - currentCase.toString().length())) // Alignement
+    //                         .append(currentCase.toString())
+    //                         .append("\u001B[0m ") // Réinitialiser la couleur
+    //                         .append(" ");
+    //             } else {
+    //                 sb.append(currentCase.toString()).append(" ");
+    //             }
+    //         }
+    //         sb.append("\n");
+    //     }
+
+    //     return sb.toString();
+    // }
     public String toString() {
         StringBuilder sb = new StringBuilder();
 
diff --git a/app/src/main/java/sudoku/Resolveur.java b/app/src/main/java/sudoku/Resolveur.java
new file mode 100644
index 0000000..9b0e5ee
--- /dev/null
+++ b/app/src/main/java/sudoku/Resolveur.java
@@ -0,0 +1,5 @@
+package sudoku;
+
+public interface Resolveur {
+    boolean resoudre(Sudoku s, boolean afficherEtape);
+}
diff --git a/app/src/main/java/sudoku/ResolveurBacktraceSimple.java b/app/src/main/java/sudoku/ResolveurBacktraceSimple.java
new file mode 100644
index 0000000..6509f79
--- /dev/null
+++ b/app/src/main/java/sudoku/ResolveurBacktraceSimple.java
@@ -0,0 +1,62 @@
+package sudoku;
+
+import java.util.List;
+
+public class ResolveurBacktraceSimple implements Resolveur {
+
+    private final Sudoku sudoku;
+
+    public ResolveurBacktraceSimple(Sudoku sudoku) {
+        this.sudoku = sudoku;
+    }
+
+    @Override
+    public boolean resoudre(Sudoku s, boolean afficherEtape) {
+        EtatResolution etat = new EtatResolution(0, 0);
+        return resoudre(s, afficherEtape, etat);
+    }
+
+    private boolean resoudre(Sudoku s, boolean afficherEtape, EtatResolution etat) {
+        Grille g = s.getGrille();
+        List<Symbole> symboles = g.getSymbolesPossibles();
+        for (int i = 0; i < g.getTaille(); i++) { // Parcours des lignes
+            for (int j = 0; j < g.getTaille(); j++) { // Parcours des colonnes
+                Case c = g.getCase(i, j); // Récupération de la case
+                if (c.getSymbole() == null) { // Si la case est vide
+                    for (Symbole symbole : symboles) { // Parcours des symboles possibles
+                        c.setSymbole(symbole); // Affectation du symbole
+                        etat.compteurGeneral++; // Incrémenter le compteur général
+                        if (afficherEtape) {
+                            afficherEtapeResolution(s, etat.compteur, etat.compteurGeneral);
+                        }
+                        if (s.estValide(c)) { // Si la grille est valide
+                            etat.compteur++;
+                            if (resoudre(s, afficherEtape, etat)) { // Résolution récursive
+                                return true; // Si la grille est résolue
+                            }
+                            etat.compteur--;
+                        }
+                        c.setSymbole(null); // Réinitialisation de la case
+                    }
+                    return false; // Si aucun symbole ne convient
+                }
+            }
+        }
+        return true; // Si la grille est déjà résolue
+    }
+
+    private void afficherEtapeResolution(Sudoku s, int compteur, int compteurGeneral) {
+        System.out.println("Sudoku, Etape " + compteur + " (Tentative " + compteurGeneral + ")");
+        System.out.println(s.getGrille().toString());
+    }
+
+    private static class EtatResolution {
+        int compteur;
+        int compteurGeneral;
+
+        EtatResolution(int compteur, int compteurGeneral) {
+            this.compteur = compteur;
+            this.compteurGeneral = compteurGeneral;
+        }
+    }
+}
\ No newline at end of file
diff --git a/app/src/main/java/sudoku/Sudoku.java b/app/src/main/java/sudoku/Sudoku.java
index 73e5fa5..e416626 100644
--- a/app/src/main/java/sudoku/Sudoku.java
+++ b/app/src/main/java/sudoku/Sudoku.java
@@ -8,7 +8,7 @@ public class Sudoku {
     private final List<Contrainte> contraintes;
 
     public Sudoku(int taille) {
-        this.grille = new Grille(taille);
+        this.grille = new Grille(taille, this);
         this.contraintes = new ArrayList<>();
     }
 
@@ -16,9 +16,9 @@ public class Sudoku {
         contraintes.add(contrainte);
     }
 
-    public void creerBloc(List<int[]> positions) {
-        grille.creerBloc(positions);
-    }
+    // public void creerBloc(List<int[]> positions, int blocHeight, int blocWidth) {
+    //     grille.creerBloc(positions, blocHeight, blocWidth);
+    // }
 
     public boolean estValide(Case c) {
         for (Contrainte contrainte : contraintes) {
@@ -35,5 +35,5 @@ public class Sudoku {
 
     public Grille getGrille() {
         return grille;
-    }
+    }    
 }
\ No newline at end of file
diff --git a/app/src/main/java/sudoku/Symbole.java b/app/src/main/java/sudoku/Symbole.java
index 7dab4c6..6ba1f9a 100644
--- a/app/src/main/java/sudoku/Symbole.java
+++ b/app/src/main/java/sudoku/Symbole.java
@@ -48,4 +48,8 @@ public class Symbole {
         Symbole symbole = (Symbole) obj;
         return valeur.equals(symbole.valeur);
     }
+
+    public int getHashCode() {
+        return valeur.hashCode();
+    }
 }
diff --git a/app/src/test/java/sudoku/TestBlocRectangle.java b/app/src/test/java/sudoku/TestBlocRectangle.java
new file mode 100644
index 0000000..72e4744
--- /dev/null
+++ b/app/src/test/java/sudoku/TestBlocRectangle.java
@@ -0,0 +1,55 @@
+package sudoku;
+
+import java.util.ArrayList;
+
+import org.junit.jupiter.api.Test;
+
+public class TestBlocRectangle {
+
+    @Test
+    public void blocRectangle() {
+        System.out.println("TEST BLOC RECTANGLE : ");
+        System.out.println(new App().getGreeting());
+        // Create a new Sudoku
+        Sudoku sudoku = new Sudoku(15);
+        ArrayList<Symbole> symboles = new ArrayList<>();
+        for (int i = 1; i <= 15; i++) {
+            symboles.add(Symbole.of(i));
+        }
+        sudoku.getGrille().setSymbolesPossibles(symboles);
+
+        sudoku.ajouterContrainte(new ContrainteLigne());
+        sudoku.ajouterContrainte(new ContrainteColonne());
+        sudoku.ajouterContrainte(new ContrainteBloc());
+
+        sudoku.getGrille().setCase(0, 0, Symbole.of(1));
+        sudoku.getGrille().setCase(6, 1, Symbole.of(2));
+        sudoku.getGrille().setCase(2, 2, Symbole.of(3));
+        sudoku.getGrille().setCase(0, 3, Symbole.of(4));
+        sudoku.getGrille().setCase(4, 4, Symbole.of(5));
+        sudoku.getGrille().setCase(0, 5, Symbole.of(6));
+        sudoku.getGrille().setCase(5, 6, Symbole.of(7));
+        sudoku.getGrille().setCase(0, 7, Symbole.of(8));
+        sudoku.getGrille().setCase(4, 8, Symbole.of(9));
+        sudoku.getGrille().setCase(0, 3, Symbole.of(9));
+        sudoku.getGrille().setCase(3, 0, Symbole.of(4));
+
+
+        sudoku.getGrille().creerBlocCarre();
+
+        System.out.println("Sudoku :");
+        System.out.println(sudoku.getGrille().toString());
+
+        sudoku.getGrille().creerBlocRectangulaire(3, 5);
+        System.out.println("Blocs :");
+        sudoku.getGrille().printBlocs();
+
+        System.out.println("Symboles possibles :");
+        sudoku.getGrille().printSymbolesPossibles();
+
+        // blocRectangle.resoudre(sudoku, true);
+        // System.out.println("Sudoku resolu :");
+        // System.out.println(sudoku.getGrille().toString());
+        System.out.println("FIN TEST BLOC RECTANGLE");
+    }
+}
diff --git a/app/src/test/java/sudoku/TestLigne.java b/app/src/test/java/sudoku/TestLigne.java
index 6309caf..716f75d 100644
--- a/app/src/test/java/sudoku/TestLigne.java
+++ b/app/src/test/java/sudoku/TestLigne.java
@@ -2,8 +2,6 @@ package sudoku;
 
 import org.junit.jupiter.api.Test;
 
-import static org.junit.jupiter.api.Assertions.assertFalse;
-
 import java.util.ArrayList;
 import java.util.Arrays;
 
@@ -38,7 +36,6 @@ public class TestLigne {
         sudoku.getGrille().setCase(4, 8, Symbole.of(9));
         //doublon ligne
         sudoku.getGrille().setCase(0, 4, Symbole.of(1));
-        assertFalse(sudoku.estValide(sudoku.getGrille().getCase(0, 4)));
 
         sudoku.getGrille().creerBlocCarre();
 
diff --git a/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku16.java b/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku16.java
new file mode 100644
index 0000000..323529e
--- /dev/null
+++ b/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku16.java
@@ -0,0 +1,70 @@
+// package sudoku;
+
+// import java.util.ArrayList;
+// import java.util.Arrays;
+
+// import org.junit.jupiter.api.Test;
+
+// public class TestResolveurBacktraceSimpleSudoku16 {
+//     @Test
+//     public void testResolution() {
+//         System.out.println("TEST RESOLVEUR BACKTRACE SIMPLE : ");
+//         System.out.println(new App().getGreeting());
+//         // Create a new Sudoku
+//         Sudoku sudoku = new Sudoku(16);
+//         sudoku.getGrille().setSymbolesPossibles(new ArrayList<>(Arrays.asList(
+//                 Symbole.of(1),
+//                 Symbole.of(2),
+//                 Symbole.of(3),
+//                 Symbole.of(4),
+//                 Symbole.of(5),
+//                 Symbole.of(6),
+//                 Symbole.of(7),
+//                 Symbole.of(8),
+//                 Symbole.of(9),
+//                 Symbole.of(10),
+//                 Symbole.of(11),
+//                 Symbole.of(12),
+//                 Symbole.of(13),
+//                 Symbole.of(14),
+//                 Symbole.of(15),
+//                 Symbole.of(16)
+
+//         )));
+
+//         sudoku.ajouterContrainte(new ContrainteLigne());
+//         sudoku.ajouterContrainte(new ContrainteColonne());
+//         sudoku.ajouterContrainte(new ContrainteBloc());
+
+//         sudoku.getGrille().setCase(0, 0, Symbole.of(1));
+//         sudoku.getGrille().setCase(6, 1, Symbole.of(2));
+//         sudoku.getGrille().setCase(2, 2, Symbole.of(3));
+//         sudoku.getGrille().setCase(0, 3, Symbole.of(4));
+//         sudoku.getGrille().setCase(4, 4, Symbole.of(5));
+//         sudoku.getGrille().setCase(0, 5, Symbole.of(6));
+//         sudoku.getGrille().setCase(5, 6, Symbole.of(7));
+//         sudoku.getGrille().setCase(0, 7, Symbole.of(8));
+//         sudoku.getGrille().setCase(4, 8, Symbole.of(9));
+//         sudoku.getGrille().setCase(0, 9, Symbole.of(10));
+//         sudoku.getGrille().setCase(6, 10, Symbole.of(11));
+//         sudoku.getGrille().setCase(2, 11, Symbole.of(12));
+//         sudoku.getGrille().setCase(0, 12, Symbole.of(13));
+
+//         sudoku.getGrille().creerBlocCarre();
+
+//         System.out.println("Sudoku :");
+//         System.out.println(sudoku.getGrille().toString());
+
+//         System.out.println("Blocs :");
+//         sudoku.getGrille().printBlocs();
+
+//         System.out.println("Symboles possibles :");
+//         sudoku.getGrille().printSymbolesPossibles();
+
+//         ResolveurBacktraceSimple resolveur = new ResolveurBacktraceSimple(sudoku);
+//         resolveur.resoudre(sudoku, false);
+//         System.out.println("Sudoku resolu :");
+//         System.out.println(sudoku.getGrille().toString());
+//         System.out.println("FIN TEST RESOLVEUR BACKTRACE SIMPLE");
+//     }
+// }
diff --git a/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku25.java b/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku25.java
new file mode 100644
index 0000000..f224dd0
--- /dev/null
+++ b/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku25.java
@@ -0,0 +1,56 @@
+// package sudoku;
+
+// import java.util.ArrayList;
+
+// import org.junit.jupiter.api.Test;
+
+// public class TestResolveurBacktraceSimpleSudoku25 {
+//     @Test
+//     public void testResolution() {
+//         System.out.println("TEST RESOLVEUR BACKTRACE SIMPLE : ");
+//         System.out.println(new App().getGreeting());
+//         // Create a new Sudoku
+//         Sudoku sudoku = new Sudoku(25);
+
+//         ArrayList<Symbole> symboles = new ArrayList<>();
+//         for (int i = 1; i <= 25; i++) {
+//             symboles.add(Symbole.of(i));
+//         }
+//         sudoku.getGrille().setSymbolesPossibles(symboles);
+
+//         sudoku.ajouterContrainte(new ContrainteLigne());
+//         sudoku.ajouterContrainte(new ContrainteColonne());
+//         sudoku.ajouterContrainte(new ContrainteBloc());
+
+//         sudoku.getGrille().setCase(0, 0, Symbole.of(1));
+//         sudoku.getGrille().setCase(6, 1, Symbole.of(2));
+//         sudoku.getGrille().setCase(2, 2, Symbole.of(3));
+//         sudoku.getGrille().setCase(0, 3, Symbole.of(4));
+//         sudoku.getGrille().setCase(4, 4, Symbole.of(5));
+//         sudoku.getGrille().setCase(0, 5, Symbole.of(6));
+//         sudoku.getGrille().setCase(5, 6, Symbole.of(7));
+//         sudoku.getGrille().setCase(0, 7, Symbole.of(8));
+//         sudoku.getGrille().setCase(4, 8, Symbole.of(9));
+//         sudoku.getGrille().setCase(0, 9, Symbole.of(25));
+//         sudoku.getGrille().setCase(6, 10, Symbole.of(11));
+//         sudoku.getGrille().setCase(2, 11, Symbole.of(12));
+//         sudoku.getGrille().setCase(0, 12, Symbole.of(13));
+
+//         sudoku.getGrille().creerBlocCarre();
+
+//         System.out.println("Sudoku :");
+//         System.out.println(sudoku.getGrille().toString());
+
+//         System.out.println("Blocs :");
+//         sudoku.getGrille().printBlocs();
+
+//         System.out.println("Symboles possibles :");
+//         sudoku.getGrille().printSymbolesPossibles();
+
+//         ResolveurBacktraceSimple resolveur = new ResolveurBacktraceSimple(sudoku);
+//         resolveur.resoudre(sudoku, false);
+//         System.out.println("Sudoku resolu :");
+//         System.out.println(sudoku.getGrille().toString());
+//         System.out.println("FIN TEST RESOLVEUR BACKTRACE SIMPLE");
+//     }
+// }
diff --git a/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku9.java b/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku9.java
new file mode 100644
index 0000000..87216c0
--- /dev/null
+++ b/app/src/test/java/sudoku/TestResolveurBacktraceSimpleSudoku9.java
@@ -0,0 +1,57 @@
+package sudoku;
+
+import java.util.ArrayList;
+import java.util.Arrays;
+
+import org.junit.jupiter.api.Test;
+
+public class TestResolveurBacktraceSimpleSudoku9 {
+    @Test
+    public void testResolution() {
+        System.out.println("TEST RESOLVEUR BACKTRACE SIMPLE : ");
+        System.out.println(new App().getGreeting());
+        // Create a new Sudoku
+        Sudoku sudoku = new Sudoku(9);
+        sudoku.getGrille().setSymbolesPossibles(new ArrayList<>(Arrays.asList(
+                Symbole.of(1),
+                Symbole.of(2),
+                Symbole.of(3),
+                Symbole.of(4),
+                Symbole.of(5),
+                Symbole.of(6),
+                Symbole.of(7),
+                Symbole.of(8),
+                Symbole.of(9))));
+
+        sudoku.ajouterContrainte(new ContrainteLigne());
+        sudoku.ajouterContrainte(new ContrainteColonne());
+        sudoku.ajouterContrainte(new ContrainteBloc());
+
+        sudoku.getGrille().setCase(0, 0, Symbole.of(1));
+        sudoku.getGrille().setCase(6, 1, Symbole.of(2));
+        sudoku.getGrille().setCase(2, 2, Symbole.of(3));
+        sudoku.getGrille().setCase(0, 3, Symbole.of(4));
+        sudoku.getGrille().setCase(4, 4, Symbole.of(5));
+        sudoku.getGrille().setCase(0, 5, Symbole.of(6));
+        sudoku.getGrille().setCase(5, 6, Symbole.of(7));
+        sudoku.getGrille().setCase(0, 7, Symbole.of(8));
+        sudoku.getGrille().setCase(4, 8, Symbole.of(9));
+
+        sudoku.getGrille().creerBlocCarre();
+
+        System.out.println("Sudoku :");
+        System.out.println(sudoku.getGrille().toString());
+
+        System.out.println("Blocs :");
+        sudoku.getGrille().printBlocs();
+
+        System.out.println("Symboles possibles :");
+        sudoku.getGrille().printSymbolesPossibles();
+
+        ResolveurBacktraceSimple resolveur = new ResolveurBacktraceSimple(sudoku);
+        resolveur.resoudre(sudoku, false);
+        System.out.println("Sudoku resolu :");
+        System.out.println(sudoku.getGrille().toString());
+        System.out.println("FIN TEST RESOLVEUR BACKTRACE SIMPLE");
+    }
+}
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new file mode 100644
index 0000000..d40221d
--- /dev/null
+++ b/readme_files/conception_uml/mermaid-diagram-2025-01-21-124116.svg
@@ -0,0 +1 @@
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table-cell; white-space: normal; line-height: 1.5; max-width: 107px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Sudoku</p></span></div></foreignObject></g></g><g transform="translate(-162.79583740234375, -40.5)" class="members-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="82.10000610351562"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 155px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+grille : Grille</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="117.89999389648438"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 232px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+blocs : 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center;"><span style="" class="nodeLabel markdown-node-label"><p>+taille : int // N×N</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="184"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 277px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+cases : Symbole[taille][taille]</p></span></div></foreignObject></g></g><g transform="translate(-170.0500030517578, 36)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="133.18333435058594"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 216px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+afficherGrille() : void</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" 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inline-block"></span></div></foreignObject></g></g><g class="edgeLabel"><g transform="translate(0, -10.5)" data-id="id_Sudoku_Contrainte_13" class="label"><foreignObject height="21" width="0"><div class="labelBkg" xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 200px; text-align: center;"><span class="edgeLabel" style=";display: inline-block"></span></div></foreignObject></g></g><g class="edgeLabel"><g transform="translate(0, -10.5)" data-id="id_Sudoku_Grille_14" class="label"><foreignObject height="21" width="0"><div class="labelBkg" xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 200px; text-align: center;"><span class="edgeLabel" style=";display: inline-block"></span></div></foreignObject></g></g><g transform="translate(1794.5541725158691, 1489.5)" class="edgeLabel"><g transform="translate(-27.23332977294922, -10.5)" data-id="id_Sudoku_Grille_15" class="label"><foreignObject height="21" width="54.46665954589844"><div class="labelBkg" xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 200px; text-align: center;"><span class="edgeLabel" style=";display: inline-block"><p>«create»</p></span></div></foreignObject></g></g><g transform="translate(1545.9634165076418, 637.0047395957995)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1656.5975010905959, 326.3856181903178)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1632.826871605951, 1002.1367927474028)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1768.3943310153218, 1006.4210556872786)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1816.9789850768889, 1009.6551090858483)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1615.9100110704414, 1572.9190685969402)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1685.2959432888485, 1502.022713833227)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"><foreignObject style="width: 9px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">1</span></div></foreignObject></g></g><g transform="translate(1519.338618953283, 602.8996428286541)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 63px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">cases *</span></div></foreignObject></g><g transform="translate(1634.435315585245, 285.0550375450173)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 81px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">symbole 1</span></div></foreignObject></g><g transform="translate(1579.6273800628267, 970.9346592230211)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 63px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">blocs *</span></div></foreignObject></g><g transform="translate(1725.2556847895046, 618.4996178135434)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 63px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">cases *</span></div></foreignObject></g><g transform="translate(1782.1818098140195, 304.4245924570017)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 171px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">symbolesPossibles *</span></div></foreignObject></g><g transform="translate(778.5680727696113, 1306.6134799942768)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 117px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">contraintes *</span></div></foreignObject></g><g transform="translate(1647.8139543166362, 1458.745656127341)" class="edgeTerminals"><g transform="translate(0, 0)" class="inner"/><foreignObject style="width: 72px; height: 12px;"><div xmlns="http://www.w3.org/1999/xhtml" style="display: inline-block; padding-right: 1px; white-space: nowrap;"><span style=";display: inline-block" class="edgeLabel">grille 1</span></div></foreignObject></g></g><g class="nodes"><g transform="translate(1770.9375076293945, 1938)" data-look="neo" data-et="node" data-node="true" data-id="App" id="classId-App-111" class="node default"><g class="basic label-container"><path style="" fill="#ffffff" stroke-width="0" stroke="none" d="M-85.51249694824219 -78 L85.51249694824219 -78 L85.51249694824219 78 L-85.51249694824219 78"/><path style="" fill="none" stroke-width="1.3" stroke="#000000" d="M-85.51249694824219 -78 C-41.66415528821177 -78, 2.1841863718186545 -78, 85.51249694824219 -78 M-85.51249694824219 -78 C-48.982762200002135 -78, -12.453027451762082 -78, 85.51249694824219 -78 M85.51249694824219 -78 C85.51249694824219 -18.168709068745343, 85.51249694824219 41.66258186250931, 85.51249694824219 78 M85.51249694824219 -78 C85.51249694824219 -38.34200767117314, 85.51249694824219 1.3159846576537149, 85.51249694824219 78 M85.51249694824219 78 C27.642971773907526 78, -30.226553400427136 78, -85.51249694824219 78 M85.51249694824219 78 C21.486376570171018 78, -42.53974380790015 78, -85.51249694824219 78 M-85.51249694824219 78 C-85.51249694824219 36.01944162546424, -85.51249694824219 -5.961116749071522, -85.51249694824219 -78 M-85.51249694824219 78 C-85.51249694824219 46.46362356415578, -85.51249694824219 14.92724712831157, -85.51249694824219 -78"/></g><g transform="translate(0, -54)" class="annotation-group text"/><g transform="translate(-13.608329772949219, -54)" class="label-group text"><g transform="translate(0,-10.5)" style="font-weight: bolder" class="label"><foreignObject height="21" width="27.216659545898438"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 80px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>App</p></span></div></foreignObject></g></g><g transform="translate(-73.51249694824219, -9)" class="members-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="91.03334045410156"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 163px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>String greeting</p></span></div></foreignObject></g></g><g transform="translate(-73.51249694824219, 36)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="46.30000305175781"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 109px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ App()</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="133.4166717529297"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 217px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ main(String[]) : void</p></span></div></foreignObject></g></g><g style="" class="divider"><path style="" 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L114.31666564941406 151.5 L-114.31666564941406 151.5"/><path style="" fill="none" stroke-width="1.3" stroke="#000000" d="M-114.31666564941406 -151.5 C-53.95522202119268 -151.5, 6.406221607028698 -151.5, 114.31666564941406 -151.5 M-114.31666564941406 -151.5 C-29.379827450925205 -151.5, 55.55701074756365 -151.5, 114.31666564941406 -151.5 M114.31666564941406 -151.5 C114.31666564941406 -64.44912881848495, 114.31666564941406 22.601742363030098, 114.31666564941406 151.5 M114.31666564941406 -151.5 C114.31666564941406 -88.01292197249774, 114.31666564941406 -24.525843944995472, 114.31666564941406 151.5 M114.31666564941406 151.5 C37.194796025852156 151.5, -39.92707359770975 151.5, -114.31666564941406 151.5 M114.31666564941406 151.5 C68.3053424976244 151.5, 22.294019345834712 151.5, -114.31666564941406 151.5 M-114.31666564941406 151.5 C-114.31666564941406 65.17893253016882, -114.31666564941406 -21.142134939662355, -114.31666564941406 -151.5 M-114.31666564941406 151.5 C-114.31666564941406 31.729619873122928, -114.31666564941406 -88.04076025375414, -114.31666564941406 -151.5"/></g><g transform="translate(0, -127.5)" class="annotation-group text"/><g transform="translate(-15.166664123535156, -127.5)" class="label-group text"><g transform="translate(0,-10.5)" style="font-weight: bolder" class="label"><foreignObject height="21" width="30.333328247070312"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 82px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Bloc</p></span></div></foreignObject></g></g><g transform="translate(-102.31666564941406, -82.5)" class="members-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="107.36666870117188"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 188px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- int couleurIndex</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="119.83332824707031"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 230px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- List&lt;Case&gt; cases</p></span></div></foreignObject></g><g transform="translate(0,31.5)" style="" class="label"><foreignObject height="21" width="94.91667175292969"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 171px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- String couleur</p></span></div></foreignObject></g><g transform="translate(0,52.5)" style="" class="label"><foreignObject height="21" width="86.36666870117188"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 156px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>String couleur</p></span></div></foreignObject></g><g transform="translate(0,73.5)" style="" class="label"><foreignObject height="21" width="98.81666564941406"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 173px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>int couleurIndex</p></span></div></foreignObject></g><g transform="translate(0,94.5)" style="" class="label"><foreignObject height="21" width="111.28334045410156"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 214px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>List&lt;Case&gt; cases</p></span></div></foreignObject></g></g><g transform="translate(-102.31666564941406, 67.5)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="107.75"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 184px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ Bloc(String, int)</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="166.89999389648438"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 249px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ ajouterCase(Case) : void</p></span></div></foreignObject></g><g transform="translate(0,31.5)" style="" class="label"><foreignObject height="21" width="189.46665954589844"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 281px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ contains(Symbole) : boolean</p></span></div></foreignObject></g><g transform="translate(0,52.5)" style="" class="label"><foreignObject height="21" width="117.85000610351562"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 197px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ toString() : String</p></span></div></foreignObject></g></g><g style="" class="divider"><path style="" fill="none" stroke-width="1.3" stroke="#000000" d="M-114.31666564941406 -106.5 C-50.62018770162089 -106.49972140335976, 13.076290246172277 -106.49944280671951, 114.31666564941406 -106.499 M-114.31666564941406 -106.5 C-49.868177566500194 -106.49971811420619, 14.580310516413675 -106.49943622841239, 114.31666564941406 -106.499"/></g><g style="" class="divider"><path style="" fill="none" stroke-width="1.3" stroke="#000000" d="M-114.31666564941406 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1.5; max-width: 87px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Case</p></span></div></foreignObject></g></g><g transform="translate(-85.19166564941406, -61.5)" class="members-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="56.80000305175781"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 126px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- int ligne</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="119.03334045410156"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 197px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- Symbole symbole</p></span></div></foreignObject></g><g transform="translate(0,31.5)" style="" class="label"><foreignObject height="21" width="76.25"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 149px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- int colonne</p></span></div></foreignObject></g><g transform="translate(0,52.5)" style="" class="label"><foreignObject height="21" width="48.25"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 111px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>int ligne</p></span></div></foreignObject></g><g transform="translate(0,73.5)" style="" class="label"><foreignObject height="21" width="110.48333740234375"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 182px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Symbole symbole</p></span></div></foreignObject></g><g transform="translate(0,94.5)" style="" class="label"><foreignObject height="21" width="67.69999694824219"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 134px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>int colonne</p></span></div></foreignObject></g></g><g transform="translate(-85.19166564941406, 88.5)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="153.64999389648438"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 236px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ Case(int, int, Symbole)</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="117.85000610351562"><div 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35.08681202169856, -104.1875 -31.826375956602874, -104.1875 -102"/></g><g transform="translate(0, -78)" class="annotation-group text"/><g transform="translate(-27.60832977294922, -78)" class="label-group text"><g transform="translate(0,-10.5)" style="font-weight: bolder" class="label"><foreignObject height="21" width="55.21665954589844"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 110px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Console</p></span></div></foreignObject></g></g><g transform="translate(-92.1875, -33)" class="members-group text"/><g transform="translate(-92.1875, -9)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="72.76666259765625"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 139px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ Console()</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="136.5500030517578"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 220px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ warnln(String) : void</p></span></div></foreignObject></g><g transform="translate(0,31.5)" style="" class="label"><foreignObject height="21" width="156.76666259765625"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 240px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ successln(String) : void</p></span></div></foreignObject></g><g transform="translate(0,52.5)" style="" class="label"><foreignObject height="21" width="128.76666259765625"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 212px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ infoln(String) : void</p></span></div></foreignObject></g><g transform="translate(0,73.5)" style="" class="label"><foreignObject height="21" width="135.76666259765625"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 220px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ errorln(String) : void</p></span></div></foreignObject></g></g><g style="" class="divider"><path style="" fill="none" stroke-width="1.3" stroke="#000000" d="M-104.1875 -57 C-57.535610501439976 -56.99977611570726, -10.883721002879952 -56.99955223141453, 104.1875 -56.999 M-104.1875 -57 C-35.61179963055122 -56.99967090245774, 32.963900738897564 -56.999341804915474, 104.1875 -56.999"/></g><g style="" class="divider"><path style="" fill="none" stroke-width="1.3" 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class="nodeLabel markdown-node-label"><p>«Interface»</p></span></div></foreignObject></g></g><g transform="translate(-35, -25.5)" class="label-group text"><g transform="translate(0,-10.5)" style="font-weight: bolder" class="label"><foreignObject height="21" width="70"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 130px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Contrainte</p></span></div></foreignObject></g></g><g transform="translate(-138.29583740234375, 19.5)" class="members-group text"/><g transform="translate(-138.29583740234375, 43.5)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="241.5833282470703"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 336px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ 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class="members-group text"/><g transform="translate(-152.28750610351562, 22.5)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="138.13333129882812"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 221px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ ContrainteColonne()</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="241.5833282470703"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 336px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ estRespectee(Grille, Case) : boolean</p></span></div></foreignObject></g></g><g style="" class="divider"><path style="" fill="none" stroke-width="1.3" stroke="#000000" d="M-164.28750610351562 -25.5 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max-width: 90px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Grille</p></span></div></foreignObject></g></g><g transform="translate(-179.15834045410156, -145.5)" class="members-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="257.54998779296875"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 398px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- ArrayList&lt;Symbole&gt; symbolesPossibles</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="56.01666259765625"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 125px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- int taille</p></span></div></foreignObject></g><g transform="translate(0,31.5)" style="" class="label"><foreignObject height="21" width="47.46665954589844"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 110px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>int taille</p></span></div></foreignObject></g><g transform="translate(0,52.5)" style="" class="label"><foreignObject height="21" width="215.5500030517578"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 343px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>List&lt;Symbole&gt; symbolesPossibles</p></span></div></foreignObject></g></g><g transform="translate(-179.15834045410156, -37.5)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="68.86666870117188"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 138px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ Grille(int)</p></span></div></foreignObject></g><g transform="translate(0,10.5)" style="" class="label"><foreignObject height="21" width="209.64999389648438"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 303px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ setCase(int, int, Symbole) : void</p></span></div></foreignObject></g><g transform="translate(0,31.5)" style="" class="label"><foreignObject height="21" width="152.88333129882812"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 235px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ creerBlocCarre() : void</p></span></div></foreignObject></g><g transform="translate(0,52.5)" style="" class="label"><foreignObject height="21" width="215.51666259765625"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 319px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>- getCouleurDisponible(int, int) : int</p></span></div></foreignObject></g><g transform="translate(0,73.5)" style="" class="label"><foreignObject height="21" width="120.19999694824219"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 199px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ printBlocs() : void</p></span></div></foreignObject></g><g transform="translate(0,94.5)" style="" class="label"><foreignObject height="21" width="222.89999389648438"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 314px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ askSetSymbolesPossibles() : void</p></span></div></foreignObject></g><g transform="translate(0,115.5)" style="" class="label"><foreignObject height="21" width="155.1999969482422"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 236px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ getCase(int, int) : Case</p></span></div></foreignObject></g><g transform="translate(0,136.5)" style="" class="label"><foreignObject height="21" width="117.85000610351562"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 197px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ toString() : String</p></span></div></foreignObject></g><g transform="translate(0,157.5)" style="" class="label"><foreignObject height="21" width="207.35000610351562"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 301px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ printSymbolesPossibles() : void</p></span></div></foreignObject></g><g transform="translate(0,178.5)" style="" class="label"><foreignObject height="21" width="340.433349609375"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 506px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ verifierToutesContraintes(List&lt;Contrainte&gt;) : boolean</p></span></div></foreignObject></g><g transform="translate(0,199.5)" style="" class="label"><foreignObject height="21" width="180.11666870117188"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 308px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>+ 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markdown-node-label"><p>«Interface»</p></span></div></foreignObject></g></g><g transform="translate(-33.84166717529297, -25.5)" class="label-group text"><g transform="translate(0,-10.5)" style="font-weight: bolder" class="label"><foreignObject height="21" width="67.68333435058594"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 124px; text-align: center;"><span style="" class="nodeLabel markdown-node-label"><p>Resolveur</p></span></div></foreignObject></g></g><g transform="translate(-110.29582977294922, 19.5)" class="members-group text"/><g transform="translate(-110.29582977294922, 43.5)" class="methods-group text"><g transform="translate(0,-10.5)" style="" class="label"><foreignObject height="21" width="185.5833282470703"><div xmlns="http://www.w3.org/1999/xhtml" style="display: table-cell; white-space: normal; line-height: 1.5; max-width: 277px; text-align: center;"><span style="" class="nodeLabel 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\ No newline at end of file
diff --git a/readme_files/conception_uml/uml-intellij/classDiagram.mermaid b/readme_files/conception_uml/uml-intellij/classDiagram.mermaid
new file mode 100644
index 0000000..afcfc01
--- /dev/null
+++ b/readme_files/conception_uml/uml-intellij/classDiagram.mermaid
@@ -0,0 +1,131 @@
+classDiagram
+
+%% Classes principales
+class Sudoku {
+    +grille : Grille
+    +blocs : List~Bloc~
+    +contraintes : List~Contrainte~
+    +rentrerSudoku() void
+    +resoudre(resolveur : Resolveur) boolean
+    +ajouterContrainte(contrainte : Contrainte) void
+}
+
+class MultiDoku {
+    +sudokus : List~Sudoku~
+    +contraintesPartage : List~ContraintePartage~
+    +resoudre(resolveur : Resolveur) boolean
+    +ajouterContraintePartage(contrainte : ContraintePartage) void
+}
+
+class Grille {
+    +taille : int // N×N
+    +cases : Symbole[taille][taille]
+    +afficherGrille() void
+    +estValide() boolean
+    +getValeursPossibles(x : int, y : int) List~Symbole~
+}
+
+class Bloc {
+    +cases : List~Case~
+    +estValide() boolean
+}
+
+%% Contraintes classiques
+class Contrainte {
+    <<interface>>
+    +estRespectee(grille : Grille, case : Case) boolean
+}
+
+class ContrainteLigne {
+    +estRespectee(grille : Grille: case : Case) boolean
+}
+
+class ContrainteColonne {
+    +estRespectee(grille : Grille: case : Case) boolean
+}
+
+class ContrainteBloc {
+    +estRespectee(grille : Grille: case : Case) boolean
+}
+
+%% Contraintes Partagées
+class ContraintePartage {
+    <<interface>>
+    +estRespectee(case : Case) boolean
+}
+
+class ContrainteLignePartage {
+    -casesPartagees : List~Case~
+    +estRespectee(case : Case) boolean
+}
+
+class ContrainteColonnePartage {
+    -casesPartagees : List~Case~
+    +estRespectee(case : Case) boolean
+}
+
+class ContrainteBlocPartage {
+    -casesPartagees : List~Case~
+    +estRespectee(case : Case) boolean
+}
+
+%% Résolution
+class Resolveur {
+    <<interface>>
+    +resoudre(sudoku : Sudoku) boolean
+    +resoudre(multidoku : MultiDoku) boolean
+}
+
+class ResolveurRegles {
+    +resoudre(sudoku : Sudoku) boolean
+    +resoudre(multidoku : MultiDoku) boolean
+}
+
+class ResolveurBacktrace {
+    +backtrace : Backtrace
+    +resoudre(sudoku : Sudoku) boolean
+    +resoudre(multidoku : MultiDoku) boolean
+}
+
+%% Classes annexes
+class Case {
+    +valeur : Symbole
+    +x : int
+    +y : int
+}
+
+class Symbole {
+    +valeur : char
+    +equals(symbole : Symbole) boolean
+}
+
+class Backtrace {
+    +pile : Stack~Case~
+    +explorer(cases : List~Case~) boolean
+}
+
+%% Relations entre classes
+Sudoku "1" --> "1" Grille : contient
+Sudoku "1" --> "N" Bloc : contient
+Sudoku "1" --> "*" Contrainte : utilise
+MultiDoku "1" --> "*" Sudoku : contient
+MultiDoku "1" --> "*" ContraintePartage : utilise
+Grille "1" --> "N*N" Case : contient
+Bloc "1" --> "N" Case : contient
+Case "1" --> "1" Symbole : contient
+
+%% Lien entre Resolveur et Sudoku/MultiDoku
+Resolveur "1" --> "1" Sudoku : agit_sur
+Resolveur "1" --> "1" MultiDoku : agit_sur
+
+%% Héritages et implémentations
+ResolveurRegles --> Resolveur : implémente
+ResolveurBacktrace --> Resolveur : implémente
+ResolveurBacktrace --> "1" Backtrace : utilise
+ContrainteLigne --> Contrainte : implémente
+ContrainteColonne --> Contrainte : implémente
+ContrainteBloc --> Contrainte : implémente
+ContrainteLignePartage --> ContraintePartage : implémente
+ContrainteColonnePartage --> ContraintePartage : implémente
+ContrainteBlocPartage --> ContraintePartage : implémente
+