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+<!DOCTYPE html>
+<html lang="fr">
+<head>
+  <meta charset="UTF-8">
+  <meta name="viewport" content="width=device-width, initial-scale=1.0">
+  <title>Mariam M-0 | Solution Mathématique</title>
+  <!-- Tailwind CSS -->
+  <link href="https://cdn.jsdelivr.net/npm/[email protected]/dist/tailwind.min.css" rel="stylesheet">
+  <!-- SweetAlert2 -->
+  <script src="https://cdn.jsdelivr.net/npm/sweetalert2@11"></script>
+  <!-- Configuration de MathJax -->
+  <script>
+    window.MathJax = {
+      tex: {
+        inlineMath: [['$', '$']],
+        displayMath: [['$$', '$$']],
+        processEscapes: true,
+        packages: {'[+]': ['autoload', 'ams']}
+      },
+      options: {
+        enableMenu: false,
+        messageStyle: 'none'
+      },
+      startup: {
+        pageReady: () => { window.mathJaxReady = true; }
+      }
+    };
+  </script>
+  <script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js" id="MathJax-script" async></script>
+  <script src="https://cdn.jsdelivr.net/npm/marked/lib/marked.umd.min.js"></script>
+  <style>
+    @import url('https://fonts.googleapis.com/css2?family=Space+Grotesk:wght@400;700&display=swap');
+    body { font-family: 'Space Grotesk', sans-serif; }
+    .uploadArea {
+      background: #f3f4f6;
+      border: 2px dashed #d1d5db;
+      transition: border-color 0.2s ease;
+    }
+    .uploadArea:hover { border-color: #3b82f6; }
+    .blue-button { background: #3b82f6; transition: background-color 0.2s ease; }
+    .blue-button:hover { background: #2563eb; }
+    .loader {
+      width: 48px;
+      height: 48px;
+      border: 3px solid #3b82f6;
+      border-bottom-color: transparent;
+      border-radius: 50%;
+      display: inline-block;
+      animation: rotation 1s linear infinite;
+    }
+    @keyframes rotation { 0% { transform: rotate(0deg); } 100% { transform: rotate(360deg); } }
+    .thought-box {
+      transition: max-height 0.3s ease-out;
+      max-height: 0;
+      overflow: hidden;
+    }
+    .thought-box.open { max-height: 500px; }
+    #thoughtsContent, #answerContent {
+      max-height: 500px;
+      overflow-y: auto;
+      scroll-behavior: smooth;
+      white-space: pre-wrap;
+    }
+    .preview-image { max-width: 300px; max-height: 300px; object-fit: contain; }
+    .timestamp { color: #3b82f6; font-size: 0.9em; margin-left: 8px; }
+    table {
+      border-collapse: collapse;
+      width: 100%;
+      margin-bottom: 1rem;
+    }
+    th, td {
+      border: 1px solid #d1d5db;
+      padding: 0.5rem;
+      text-align: left;
+    }
+    th { background-color: #f3f4f6; font-weight: 600; }
+    .table-responsive { overflow-x: auto; }
+    /* Style pour le bouton Sauvegarder */
+    #saveButton {
+      background: #3b82f6;
+      color: white;
+      padding: 0.5rem 1rem;
+      border-radius: 0.375rem;
+      transition: background-color 0.2s ease;
+    }
+    #saveButton:hover { background: #2563eb; }
+    /* Modal plein écran pour les sauvegardes */
+    #savedModal {
+      display: none;
+      position: fixed;
+      inset: 0;
+      background: rgba(0,0,0,0.5);
+      z-index: 50;
+    }
+    #savedModal.active { display: block; }
+    #savedModalContent {
+      background: #fff;
+      width: 100%;
+      height: 100%;
+      overflow-y: auto;
+    }
+  </style>
+</head>
+<body class="p-4">
+  <div class="max-w-4xl mx-auto">
+    <header class="p-6 text-center mb-8">
+      <h1 class="text-4xl font-bold text-blue-600">Mariam M-0</h1>
+      <p class="text-gray-600">Solution Mathématique/Physique/Chimie Intelligente</p>
+      <div class="mt-4 flex justify-end">
+        <button id="openSaved" class="blue-button px-4 py-2 text-white rounded">Sauvegardes</button>
+      </div>
+    </header>
+    <main id="mainContent">
+      <form id="problemForm" class="space-y-6" novalidate>
+        <!-- Zone de dépôt / sélection d'image -->
+        <div class="uploadArea p-8 text-center relative" aria-label="Zone de dépôt d'image">
+          <input type="file" id="imageInput" accept="image/*" class="absolute inset-0 w-full h-full opacity-0 cursor-pointer" aria-label="Choisir une image">
+          <div class="space-y-3">
+            <div class="w-16 h-16 mx-auto border-2 border-blue-400 rounded-full flex items-center justify-center">
+              <svg class="w-8 h-8 text-blue-400" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true">
+                <path stroke-linecap="round" stroke-linejoin="round" stroke-width="2"
+                  d="M4 16l4.586-4.586a2 2 0 012.828 0L16 16m-2-2l1.586-1.586a2 2 0 012.828 0L20 14m-6-6h.01M6 20h12a2 2 0 002-2V6a2 2 0 00-2-2H6a2 2 0 00-2 2v12a2 2 0 002 2z" />
+              </svg>
+            </div>
+            <p class="text-gray-700 font-medium">Déposez votre image ici</p>
+            <p class="text-gray-500 text-sm">ou cliquez pour sélectionner</p>
+          </div>
+        </div>
+        <!-- Aperçu de l'image -->
+        <div id="imagePreview" class="hidden text-center">
+          <img id="previewImage" class="preview-image mx-auto" alt="Prévisualisation de l'image">
+        </div>
+        <button type="submit" class="blue-button w-full py-3 text-white font-medium rounded-lg">
+          Résoudre le problème
+        </button>
+      </form>
+      <!-- Loader -->
+      <div id="loader" class="hidden mt-8 text-center">
+        <span class="loader"></span>
+        <p class="mt-4 text-gray-600">Analyse en cours...</p>
+      </div>
+      <!-- Zone d'affichage de la solution -->
+      <section id="solution" class="hidden mt-8 space-y-6 relative">
+        <div class="border-t pt-4">
+          <button id="thoughtsToggle" type="button" class="w-full flex justify-between items-center p-2">
+            <span class="font-medium text-gray-700">Processus de Réflexion</span>
+            <span id="timestamp" class="timestamp"></span>
+          </button>
+          <div id="thoughtsBox" class="thought-box">
+            <div id="thoughtsContent" class="p-4 text-gray-600"></div>
+          </div>
+        </div>
+        <div class="border-t pt-6">
+          <div class="flex justify-between items-center">
+            <h3 class="text-xl font-bold text-gray-800 mb-4">Solution</h3>
+            <!-- Bouton Sauvegarder -->
+            <button id="saveButton">Sauvegarder</button>
+          </div>
+          <div id="answerContent" class="text-gray-700 table-responsive"></div>
+        </div>
+      </section>
+    </main>
+  </div>
+  <!-- Modal plein écran pour les sauvegardes -->
+  <div id="savedModal">
+    <div id="savedModalContent" class="p-6">
+      <header class="flex justify-between items-center border-b pb-4">
+        <h2 class="text-2xl font-bold">Sauvegardes</h2>
+        <button id="closeSaved" class="text-3xl text-gray-600">&times;</button>
+      </header>
+      <div id="savedListContainer" class="mt-4">
+        <ul id="savedList" class="space-y-4">
+          <!-- Liste des sauvegardes insérée dynamiquement -->
+        </ul>
+      </div>
+      <div class="mt-6">
+        <button id="newExercise" class="blue-button w-full py-3 text-white font-medium rounded-lg">
+          Résoudre un nouvel exercice
+        </button>
+      </div>
+    </div>
+  </div>
+  <script>
+    document.addEventListener('DOMContentLoaded', () => {
+      // Récupération des éléments
+      const form = document.getElementById('problemForm');
+      const imageInput = document.getElementById('imageInput');
+      const loader = document.getElementById('loader');
+      const solutionSection = document.getElementById('solution');
+      const thoughtsContent = document.getElementById('thoughtsContent');
+      const answerContent = document.getElementById('answerContent');
+      const thoughtsToggle = document.getElementById('thoughtsToggle');
+      const thoughtsBox = document.getElementById('thoughtsBox');
+      const imagePreview = document.getElementById('imagePreview');
+      const previewImage = document.getElementById('previewImage');
+      const timestamp = document.getElementById('timestamp');
+      const saveButton = document.getElementById('saveButton');
+      const openSaved = document.getElementById('openSaved');
+      const closeSaved = document.getElementById('closeSaved');
+      const savedModal = document.getElementById('savedModal');
+      const savedList = document.getElementById('savedList');
+      const newExercise = document.getElementById('newExercise');
+      let startTime = null;
+      let timerInterval = null;
+      let thoughtsBuffer = '';
+      let answerBuffer = '';
+      let currentMode = null;
+      let updateTimeout = null;
+      // Mise à jour du temps écoulé
+      const updateTimestamp = () => {
+        if (startTime) {
+          const seconds = Math.floor((Date.now() - startTime) / 1000);
+          timestamp.textContent = `${seconds}s`;
+        }
+      };
+      const startTimer = () => { startTime = Date.now(); timerInterval = setInterval(updateTimestamp, 1000); updateTimestamp(); };
+      const stopTimer = () => { clearInterval(timerInterval); startTime = null; timestamp.textContent = ''; };
+      // Affichage de l'image sélectionnée
+      const handleFileSelect = file => {
+        if (!file) return;
+        const reader = new FileReader();
+        reader.onload = e => {
+          previewImage.src = e.target.result;
+          imagePreview.classList.remove('hidden');
+        };
+        reader.readAsDataURL(file);
+      };
+      thoughtsToggle.addEventListener('click', () => { thoughtsBox.classList.toggle('open'); });
+      imageInput.addEventListener('change', e => handleFileSelect(e.target.files[0]));
+      // Gestion du glisser-déposer
+      const dropZone = document.querySelector('.uploadArea');
+      dropZone.addEventListener('dragover', e => { e.preventDefault(); dropZone.classList.add('border-blue-400'); });
+      dropZone.addEventListener('dragleave', e => { e.preventDefault(); dropZone.classList.remove('border-blue-400'); });
+      dropZone.addEventListener('drop', e => { e.preventDefault(); dropZone.classList.remove('border-blue-400'); handleFileSelect(e.dataTransfer.files[0]); });
+      /*
+         Fonction améliorée de pré-traitement pour envelopper automatiquement
+         les commandes LaTeX dans des délimiteurs $...$.
+         Cette fonction parcourt le texte caractère par caractère, en tenant compte
+         du mode mathématique (délimité par $) pour éviter de retraiter du contenu déjà formaté.
+      */
+      function autoWrapMath(text) {
+        let result = "";
+        let i = 0;
+        let inMath = false;
+        while(i < text.length) {
+          if (text[i] === '$') {
+            result += '$';
+            inMath = !inMath;
+            i++;
+          } else if (!inMath && text[i] === '\\') {
+            // On est hors du mode math, on traite la commande LaTeX
+            let start = i;
+            i++; // On saute le backslash
+            // Lecture du nom de la commande (lettres uniquement)
+            while(i < text.length && /[a-zA-Z]/.test(text[i])) { i++; }
+            // Gestion d'un argument optionnel éventuel : [ ... ]
+            if(i < text.length && text[i] === '[') {
+              let bracketCount = 0;
+              while(i < text.length) {
+                if(text[i] === '[') { bracketCount++; }
+                else if(text[i] === ']') { bracketCount--; }
+                i++;
+                if(bracketCount === 0) break;
+              }
+            }
+            // Gestion d'un ou plusieurs arguments obligatoires : { ... }
+            while(i < text.length && text[i] === '{') {
+              let braceCount = 0;
+              while(i < text.length) {
+                if(text[i] === '{') { braceCount++; }
+                else if(text[i] === '}') { braceCount--; }
+                i++;
+                if(braceCount === 0) break;
+              }
+            }
+            let commandStr = text.substring(start, i);
+            // On enveloppe la commande complète dans des délimiteurs $...$
+            result += '$' + commandStr + '$';
+          } else {
+            result += text[i];
+            i++;
+          }
+        }
+        return result;
+      }
+      // Rendu MathJax et mise à jour de l'affichage
+      const typesetAnswerIfReady = async () => {
+        if (window.mathJaxReady) {
+          MathJax.startup.document.elements = [document.getElementById('answerContent')];
+          await MathJax.typesetPromise();
+          answerContent.scrollTop = answerContent.scrollHeight;
+        } else {
+          setTimeout(typesetAnswerIfReady, 200);
+        }
+      };
+      const updateDisplay = async () => {
+        // Appliquer le pré-traitement pour ajouter les délimiteurs mathématiques
+        const processedThoughts = autoWrapMath(thoughtsBuffer);
+        const processedAnswer = autoWrapMath(answerBuffer);
+        thoughtsContent.innerHTML = marked.parse(processedThoughts);
+        answerContent.innerHTML = marked.parse(processedAnswer);
+        await typesetAnswerIfReady();
+        updateTimeout = null;
+      };
+      const scheduleUpdate = () => { if (!updateTimeout) updateTimeout = setTimeout(updateDisplay, 200); };
+      marked.setOptions({ gfm: true, breaks: true });
+      // Envoi de l'image pour résolution
+      form.addEventListener('submit', async e => {
+        e.preventDefault();
+        const file = imageInput.files[0];
+        if (!file) { alert('Veuillez sélectionner une image.'); return; }
+        startTimer();
+        loader.classList.remove('hidden');
+        solutionSection.classList.add('hidden');
+        thoughtsContent.innerHTML = '';
+        answerContent.innerHTML = '';
+        thoughtsBuffer = '';
+        answerBuffer = '';
+        currentMode = null;
+        thoughtsBox.classList.add('open');
+        const formData = new FormData();
+        formData.append('image', file);
+        try {
+          const response = await fetch('/solve', { method: 'POST', body: formData });
+          const reader = response.body.getReader();
+          const decoder = new TextDecoder();
+          let buffer = '';
+          const processChunk = async chunk => {
+            buffer += decoder.decode(chunk, { stream: true });
+            const lines = buffer.split('\n\n');
+            buffer = lines.pop();
+            for (const line of lines) {
+              if (!line.startsWith('data:')) continue;
+              const data = JSON.parse(line.slice(5));
+              if (data.mode) {
+                currentMode = data.mode;
+                loader.classList.add('hidden');
+                solutionSection.classList.remove('hidden');
+              }
+              if (data.content) {
+                if (currentMode === 'thinking') { thoughtsBuffer += data.content; }
+                else if (currentMode === 'answering') { answerBuffer += data.content; }
+              }
+            }
+            scheduleUpdate();
+          };
+          while (true) {
+            const { done, value } = await reader.read();
+            if (done) {
+              if (buffer) {
+                const data = JSON.parse(buffer.slice(5));
+                if (data.content) {
+                  if (currentMode === 'thinking') { thoughtsBuffer += data.content; }
+                  else if (currentMode === 'answering') { answerBuffer += data.content; }
+                }
+              }
+              scheduleUpdate();
+              break;
+            }
+            await processChunk(value);
+          }
+          stopTimer();
+        } catch (error) {
+          console.error('Erreur:', error);
+          alert('Une erreur est survenue.');
+          loader.classList.add('hidden');
+          stopTimer();
+        }
+      });
+      // Sauvegarde de la solution avec SweetAlert2
+      saveButton.addEventListener('click', () => {
+        const saveName = prompt("Entrez un nom pour la sauvegarde :");
+        if (!saveName) return;
+        const saveData = {
+          answer: answerContent.innerHTML,
+          thinking: thoughtsContent.innerHTML,
+          date: new Date().toLocaleString()
+        };
+        let savedExercises = JSON.parse(localStorage.getItem('savedExercises') || '{}');
+        savedExercises[saveName] = saveData;
+        localStorage.setItem('savedExercises', JSON.stringify(savedExercises));
+        Swal.fire({
+          icon: 'success',
+          title: 'Sauvegarde réussie',
+          text: 'Votre solution a bien été sauvegardée !',
+          timer: 2000,
+          showConfirmButton: false
+        });
+      });
+      // Chargement des sauvegardes dans le modal
+      const loadSavedList = () => {
+        savedList.innerHTML = '';
+        const savedExercises = JSON.parse(localStorage.getItem('savedExercises') || '{}');
+        for (const [name, data] of Object.entries(savedExercises)) {
+          const li = document.createElement('li');
+          li.innerHTML = `<button class="w-full text-left text-blue-600 hover:underline" data-save="${name}">${name} <span class="text-gray-500 text-xs">(${data.date})</span></button>`;
+          savedList.appendChild(li);
+        }
+      };
+      savedList.addEventListener('click', (e) => {
+        if (e.target && e.target.dataset.save) {
+          const saveName = e.target.dataset.save;
+          const savedExercises = JSON.parse(localStorage.getItem('savedExercises') || '{}');
+          const data = savedExercises[saveName];
+          if (data) {
+            form.classList.add('hidden');
+            loader.classList.add('hidden');
+            solutionSection.classList.remove('hidden');
+            thoughtsContent.innerHTML = data.thinking;
+            answerContent.innerHTML = data.answer;
+            savedModal.classList.remove('active');
+          }
+        }
+      });
+      // Ouverture / fermeture du modal de sauvegardes
+      openSaved.addEventListener('click', () => { loadSavedList(); savedModal.classList.add('active'); });
+      closeSaved.addEventListener('click', () => { savedModal.classList.remove('active'); });
+      // Bouton dans le modal pour lancer un nouvel exercice
+      newExercise.addEventListener('click', () => {
+        form.reset();
+        form.classList.remove('hidden');
+        solutionSection.classList.add('hidden');
+        imagePreview.classList.add('hidden');
+        thoughtsContent.innerHTML = '';
+        answerContent.innerHTML = '';
+        thoughtsBuffer = '';
+        answerBuffer = '';
+        savedModal.classList.remove('active');
+      });
+    });
+  </script>
+</body>
+</html>