From ae585d65b2cc3cb6b7b70531c3e41ce88d2af0ac Mon Sep 17 00:00:00 2001
From: "samuel.nguyen.etu" <samuel.nguyen.etu@univ-lille.fr>
Date: Tue, 11 Mar 2025 18:09:47 +0100
Subject: [PATCH] Mise dans archive

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 tp2_miso.zip             | Bin 0 -> 126435 bytes
 tp_2_miso_dict.py        | 119 ----------------------
 tp_2_miso_mphf.py        | 210 ---------------------------------------
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 delete mode 100644 taille_memoire.png
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 create mode 100644 tp2_miso.zip
 delete mode 100644 tp_2_miso_dict.py
 delete mode 100644 tp_2_miso_mphf.py

diff --git a/README.md b/README.md
deleted file mode 100644
index 463f567..0000000
--- a/README.md
+++ /dev/null
@@ -1,93 +0,0 @@
-# tp2_hachage
-
-
-
-## Getting started
-
-To make it easy for you to get started with GitLab, here's a list of recommended next steps.
-
-Already a pro? Just edit this README.md and make it your own. Want to make it easy? [Use the template at the bottom](#editing-this-readme)!
-
-## Add your files
-
-- [ ] [Create](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#create-a-file) or [upload](https://docs.gitlab.com/ee/user/project/repository/web_editor.html#upload-a-file) files
-- [ ] [Add files using the command line](https://docs.gitlab.com/ee/gitlab-basics/add-file.html#add-a-file-using-the-command-line) or push an existing Git repository with the following command:
-
-```
-cd existing_repo
-git remote add origin https://gitlab.univ-lille.fr/samuel.nguyen.etu/tp2_hachage.git
-git branch -M main
-git push -uf origin main
-```
-
-## Integrate with your tools
-
-- [ ] [Set up project integrations](https://gitlab.univ-lille.fr/samuel.nguyen.etu/tp2_hachage/-/settings/integrations)
-
-## Collaborate with your team
-
-- [ ] [Invite team members and collaborators](https://docs.gitlab.com/ee/user/project/members/)
-- [ ] [Create a new merge request](https://docs.gitlab.com/ee/user/project/merge_requests/creating_merge_requests.html)
-- [ ] [Automatically close issues from merge requests](https://docs.gitlab.com/ee/user/project/issues/managing_issues.html#closing-issues-automatically)
-- [ ] [Enable merge request approvals](https://docs.gitlab.com/ee/user/project/merge_requests/approvals/)
-- [ ] [Set auto-merge](https://docs.gitlab.com/ee/user/project/merge_requests/merge_when_pipeline_succeeds.html)
-
-## Test and Deploy
-
-Use the built-in continuous integration in GitLab.
-
-- [ ] [Get started with GitLab CI/CD](https://docs.gitlab.com/ee/ci/quick_start/index.html)
-- [ ] [Analyze your code for known vulnerabilities with Static Application Security Testing (SAST)](https://docs.gitlab.com/ee/user/application_security/sast/)
-- [ ] [Deploy to Kubernetes, Amazon EC2, or Amazon ECS using Auto Deploy](https://docs.gitlab.com/ee/topics/autodevops/requirements.html)
-- [ ] [Use pull-based deployments for improved Kubernetes management](https://docs.gitlab.com/ee/user/clusters/agent/)
-- [ ] [Set up protected environments](https://docs.gitlab.com/ee/ci/environments/protected_environments.html)
-
-***
-
-# Editing this README
-
-When you're ready to make this README your own, just edit this file and use the handy template below (or feel free to structure it however you want - this is just a starting point!). Thanks to [makeareadme.com](https://www.makeareadme.com/) for this template.
-
-## Suggestions for a good README
-
-Every project is different, so consider which of these sections apply to yours. The sections used in the template are suggestions for most open source projects. Also keep in mind that while a README can be too long and detailed, too long is better than too short. If you think your README is too long, consider utilizing another form of documentation rather than cutting out information.
-
-## Name
-Choose a self-explaining name for your project.
-
-## Description
-Let people know what your project can do specifically. Provide context and add a link to any reference visitors might be unfamiliar with. A list of Features or a Background subsection can also be added here. If there are alternatives to your project, this is a good place to list differentiating factors.
-
-## Badges
-On some READMEs, you may see small images that convey metadata, such as whether or not all the tests are passing for the project. You can use Shields to add some to your README. Many services also have instructions for adding a badge.
-
-## Visuals
-Depending on what you are making, it can be a good idea to include screenshots or even a video (you'll frequently see GIFs rather than actual videos). Tools like ttygif can help, but check out Asciinema for a more sophisticated method.
-
-## Installation
-Within a particular ecosystem, there may be a common way of installing things, such as using Yarn, NuGet, or Homebrew. However, consider the possibility that whoever is reading your README is a novice and would like more guidance. Listing specific steps helps remove ambiguity and gets people to using your project as quickly as possible. If it only runs in a specific context like a particular programming language version or operating system or has dependencies that have to be installed manually, also add a Requirements subsection.
-
-## Usage
-Use examples liberally, and show the expected output if you can. It's helpful to have inline the smallest example of usage that you can demonstrate, while providing links to more sophisticated examples if they are too long to reasonably include in the README.
-
-## Support
-Tell people where they can go to for help. It can be any combination of an issue tracker, a chat room, an email address, etc.
-
-## Roadmap
-If you have ideas for releases in the future, it is a good idea to list them in the README.
-
-## Contributing
-State if you are open to contributions and what your requirements are for accepting them.
-
-For people who want to make changes to your project, it's helpful to have some documentation on how to get started. Perhaps there is a script that they should run or some environment variables that they need to set. Make these steps explicit. These instructions could also be useful to your future self.
-
-You can also document commands to lint the code or run tests. These steps help to ensure high code quality and reduce the likelihood that the changes inadvertently break something. Having instructions for running tests is especially helpful if it requires external setup, such as starting a Selenium server for testing in a browser.
-
-## Authors and acknowledgment
-Show your appreciation to those who have contributed to the project.
-
-## License
-For open source projects, say how it is licensed.
-
-## Project status
-If you have run out of energy or time for your project, put a note at the top of the README saying that development has slowed down or stopped completely. Someone may choose to fork your project or volunteer to step in as a maintainer or owner, allowing your project to keep going. You can also make an explicit request for maintainers.
diff --git a/Readme.md b/Readme.md
deleted file mode 100644
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--- a/Readme.md
+++ /dev/null
@@ -1,81 +0,0 @@
-# TP Hachage
-
-
-
- 
-# Partie 1 - Réaliser une fonction de hachage minimale parfaite 
-
-On travaillera sur `tp_2_miso_mphf.py`.
-
-Tout d'abord, voyons ensemble l'idée de la construction de la MPHF.
-Puis suivez les commentaires dans le code à compléter.
-Vous devez 
-- finaliser la fonction pour construire la MPHF (`construction_mphf`), 
-- écrire la fonction pour obtenir le hash d'un élément par la MPHF (`get_hash_mphf`), 
-- écrire la fonction pour créer une table de hachage avec cette mphf (`create_hash_table`)
-
-Ecrivez vos réponses et commentaires dans ce document.
-
-Puis décommenter `compare_taille` à la fin et expliquer les résultats.
-
-On observe sur le graphe obtenu, que la taille de la table de hachage du dictionnaire augmente par paliers, alors que celle de la MPHf augmente de manière linéraire, et beaucoupu plus progressivement.
-Cela est cohérent, en effet le dictionnaire va allouer un certain espace supplémentaire dès que le nombre d'éléments atteint un seuil, d'où l'augmentation par paliers.
-Quant à la MPHF, elle minimise la mémoire en évitant les collisions, et en recréant à chaque implémentation, une nouvelle table de hachage avec la taille exactement adaptée au nombre d'éléments.
-
-Bonus : faites varier `nb_niveaux` et `gamma`, voyez quelle influence ils peuvent avoir.
-
-# Partie 2 - Analyse de performance de dictionnaires en Python
-
-On travaillera sur `tp_2_miso_dict.py`
-
-A la fin de cette partie, en lançant `python tp_2_miso_dict.py` on doit obtenir 4 graphiques.
-
-## Introduction
-
-Nous allons analyser la performance de dictionnaires `dict` en Python en fonction de différents facteurs : que le facteur de charge (loading factor), 
-le temps d'insertion et la taille de la mémoire occupée. Vous pourrez utiliser matplotlib et numpy pour visualiser les résultats.
-
-##  Étude du facteur de charge
-
-Fonction `experiment_load_factor`:
-
-0. La fonction `experiment_load_factor` doit être définie pour prendre en entrée une liste de facteurs de charge (`load_factors`) et renvoyer les temps 
-- d'insertion de clefs, 
-- les nombres de réallocations de mémoire (quand le dictionnaire est ré-écrit en mémoire pour agrandir sa taille) 
-- et les tailles de mémoire occupées par le dictionnaire pour chaque facteur de charge. 
-
-1. Initialisation des listes pour stocker les résultats.
-Initialiser dans la fonction `experiment_load_factor` des listes `insertion_times`, `num_resizes` et `sizes` seront utilisées pour stocker les trois résultats décrits au dessus.
-
-2. La fonction `experiment_load_factor` doit boucler sur chaque facteur de charge de la liste en entrée `load_factors`. Créer un dictionnaire d'abord vide à chaque fois.
-
-3. Initialiser les variables `num_elements`, `start_time`, `num_resize` et `last_size` pour respectivement mesurer  le nombre d'éléments, le temps d'insertion et le nombre de réallocations de mémoire.
-
-4. Insérer les éléments dans le dictionnaire et mesurer le temps d'insertion pour chaque élément, vérifier le nombre de réallocations mémoire (utiliser par exemple `time.time()` et `sys.getsizeof()` pour mesurer le temps et la taille du dictionnaire avant et après chaque insertion).
-
-5. Pour un facteur de charge donné, stocker les résultats dans les listes `insertion_times`, `num_resizes` et `sizes`.
-
-## Deuxième étude
-
-6. A quoi sert la fonction `experiment_longest` ?
-
-Cette fonction renvoie la fréquence des temps d'insertion dans un dictionnaire, sur 10 000 éléments à insérer.
-
-## Visualisation des résultats
-
-7. Créez quatre graphiques au format png ou pdf : 
-
-- Un graphique du temps d'insertion en fonction du facteur de charge (obtenu question 5)
-- Un graphique du nombre de réallocations de mémoire en fonction du facteur de charge (obtenu question 5)
-- Un graphique de la taille de mémoire occupée en fonction du nombre d'éléments (obtenu question 5)
-- Un histogramme des fréquences des temps d'insertions discrétisés (code fourni, remplacer la liste vide par la bonne entrée)
-
-10. Commentez vos résultats.
-
-- Le nombre de réallocations de mémoire augmente en fonction du facteur de charge, d'abord linéairement puis plutôt par paliers.
-Cela est cohérent avec le graphe généré partie 1, car le dictionnaire va allouer un certain espace supplémentaire dès que le nombre d'éléments atteint un seuil.
-- En conséquence, la variation de la taille de mémoire occupée en fonction du nombre d'éléments suit la même variation, linéaire au début puis par paliers.
-- Le temps d'insertion en fonction du facteur de charge diminue fortement lorsque le facteur de charge augmente au début, puis les variations sont plus faibles.
-Cette tendance semble cohérente, hormis une réaugmentation à 0.6 : au début, le dictionnaire est vide, et l'ajout d'éléments est rapide. La réaugmentation est peut-être due à des réallocations de mémoire qui ralentissent certaines insertions.
-- La distribution des temps d'insertion sur l'histogramme est très asymétrique : une majorité d'insertions se font très rapidement, tandis que quelques valeurs semblent avoir des temps d'insertion plus longs.
-Cela s'explique peut-être par des réallocations de mémoire ponctuelles qui allongent le temps d'insertion à certains moments.
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diff --git a/tp_2_miso_dict.py b/tp_2_miso_dict.py
deleted file mode 100644
index a933772..0000000
--- a/tp_2_miso_dict.py
+++ /dev/null
@@ -1,119 +0,0 @@
-import matplotlib.pyplot as plt
-import numpy as np
-import time
-import sys
-import statistics  #pour faire la moyenne des temps d'insertion pour chaque facteur de charge
-
-
-
-###### PARTIE 2 ######
-
-def experiment_load_factor(load_factors : list):
-	"""
-	Étude du facteur de charge
-	Parameters
-	----------
-	load_factors : list
-		Une liste de facteurs de charge
-	Returns
-	-------
-	lists
-		Les temps d'insertion de clefs
-		Les nombres de réallocations de mémoire
-		Les tailles de mémoire occupée par le dictionnaire pour chaque facteur de charge
-	"""
-	# Initialisation
-	insertion_times = []
-	num_resizes = []
-	sizes = []
-
-	for factor in load_factors :
-		dictio = {}
-		num_resize=0
-		last_size = sys.getsizeof(dictio)
-		num_elements = int(factor*100)
-		tempsecoules = []
-
-		for i in range(num_elements) :
-			cle = 'cle'+str(i)
-			start_time = time.perf_counter()
-			dictio[cle] = i
-			end_time = time.perf_counter()
-			tempsecoule = end_time - start_time
-			tempsecoules.append(tempsecoule)
-			current_size = sys.getsizeof(dictio)
-
-			if current_size > last_size :
-				num_resize += 1
-				last_size = current_size
-
-		size = sys.getsizeof(dictio)
-		insertion_time = statistics.mean(tempsecoules)
-		insertion_times.append(insertion_time)
-		num_resizes.append(num_resize)
-		sizes.append(size)
-
-	return insertion_times, num_resizes, sizes
-
-def experiment_longest():
-	"""
-	TODO: que fait cette fonction
-	"""
-	d = {}
-	insertion_times = []
-
-	for i in range(10000):
-		key = str(i)
-		value = i
-		start_time = time.time()
-		d[key] = value
-		insertion_time = time.time() - start_time
-		insertion_times.append(insertion_time)
-	frequencies = np.histogram(insertion_times)[0]
-	return frequencies
-
-def visualisation(load_factors, insertion_times, num_resizes, sizes, frequencies):
-	"""
-	Visualisation des résultats
-	"""
-	num_elements = []
-	for factor in load_factors :
-		num_elements.append(factor*100)
-	# Temps d'insertion en fonction du facteur de charge
-	plt.plot(load_factors, insertion_times)
-	plt.xlabel('Facteur de charge')
-	plt.xticks(load_factors, [str(x) for x in load_factors], rotation=45)
-	plt.ylabel("Temps d'insertion (secondes)")
-	plt.title("Temps d'insertion en fonction du facteur de charge")
-	plt.savefig("temps_d_insertion.png")
-	# Nombre de réallocations de mémoire en fonction du facteur de charge
-	plt.plot(load_factors, num_resizes)
-	plt.xlabel('Facteur de charge')
-	plt.xticks(load_factors, [str(x) for x in load_factors], rotation=45)
-	plt.ylabel("Nombre de réallocations de mémoire")
-	plt.title("Nombre de réallocations de mémoire en fonction du facteur de charge")
-	plt.savefig("nombre_reallocations.png")
-	# Taille de mémoire occupée en fonction du nombre d'éléments
-	plt.plot(sizes, num_elements)
-	plt.xlabel("Nombre d'éléments")
-	plt.xticks(num_elements, [str(x) for x in num_elements], rotation=45)
-	plt.ylabel("Taille de mémoire occupée (octets)")
-	plt.title("Taille de mémoire occupée en fonction du nombre d'éléments")
-	plt.savefig("taille_memoire.png")
-	# Deuxième étude
-	f = list(frequencies)
-	plt.figure(figsize=(10, 6))
-	plt.bar(range(len(f)), f)
-	plt.xlabel('Temps d\'insertion (s)')
-	plt.ylabel('Fréquence')
-	plt.title('Histogramme des fréquences des temps d\'insertions')
-	plt.yscale('log')
-	xticks = np.logspace(-6, 1, 3)
-	xtick_labels = [f'{x:.1e}' for x in xticks]
-	plt.xticks(xticks, xtick_labels)
-	plt.savefig('deuxieme_etude.png')
-
-load_factors = [0.01, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0]
-insertion_times, num_resizes, sizes = experiment_load_factor(load_factors)
-frequencies = experiment_longest()
-visualisation(load_factors, insertion_times, num_resizes, sizes, frequencies)
diff --git a/tp_2_miso_mphf.py b/tp_2_miso_mphf.py
deleted file mode 100644
index 37c8833..0000000
--- a/tp_2_miso_mphf.py
+++ /dev/null
@@ -1,210 +0,0 @@
-import matplotlib.pyplot as plt
-import numpy as np
-import time
-import sys
-import random
-
-
-###### PARTIE 1 ######
-
-def construction_mphf(set_kmer, n, gamma=2, nb_niveaux=3):
-    """
-	Construit une fonction de hachage minimale parfaite (MPHF) pour un ensemble de k-mers.
-
-	Parameters:
-	set_kmer (set): Ensemble de k-mers.
-	n (int): Taille de l'ensemble de k-mers.
-	gamma (int): Facteur de réduction de la taille de la table de hachage. Default: 2.
-	nb_niveaux (int): Nombre de niveaux de réduction de la taille de la table de hachage. Default: 3.
-
-	Returns:
-	mphf (list): Table de hachage minimale parfaite.
-
-	Examples:
-	>>> set_kmer = {str(i) for i in range(10)}
-	>>> n = 10
-	>>> mphf = construction_mphf(set_kmer, n)
-	>>> len(mphf) == n
-	True
-	>>> all(0 <= mphf[i] < n for i in range(n))
-	True
-	>>> len(mphf) == n
-	True
-	"""
-    # Initialisation
-    set_kmer_courant = set_kmer.copy()
-    tableaux = []
-    collision = set()
-    for _ in range(nb_niveaux):
-        if len(set_kmer_courant) > 0:
-            l = len(set_kmer_courant)
-            if l == 0:
-                break  # Evite une division par 0
-            tableau_principal = [-1] * (gamma * l)
-            for kmer in set_kmer_courant:
-                # hacher le k-mer (attention, hash() peut rendre des entiers signés, nous voulons des entiers positifs)
-                hachage = abs(hash(kmer))
-                # récupérer l'adresse
-                # si le tableau principal est déjà rempli à l'adresse:
-                # mettre le kmer dans collision()
-                # sinon, écrire le hash à l'adresse dans le tableau principal
-                adresse = hachage % (gamma * l)
-                if tableau_principal[adresse] != -1:
-                    collision.add(kmer)
-                else:
-                    tableau_principal[adresse] = hachage
-            tableaux.append(tableau_principal)  # expliquer
-            # Chaque niveau de hachage produit un nouveau tableau de hachage.
-            # Donc on enregistre le tableau dans tableaux pour garder une trace des niveaux.
-            set_kmer_courant = collision.copy()  # expliquer
-            # On hache à nouveau les k-mers qui ont causé des collisions.
-            collision = set()  # expliquer
-            # On réinitialise collision pour le prochain niveau de hachage, pour pas que les valeurs dont on n'a plus besoin s'accumulent.
-            if not set_kmer_courant:  # Arrête la boucle si plus de collisions
-                break
-
-    # Construction de la MPHF
-    mphf = []
-    grand_tableau = []
-    for tableau in tableaux:
-        grand_tableau.extend(tableau)  # expliquer
-    # Après avoir fait tous les hachages, on regroupe les tableaux finaux de hachage dans un seul tableau.
-    grand_tableau_dict = {val: i for i, val in enumerate(grand_tableau)}
-
-    max_rang = 0
-    i = 0
-    for kmer in set_kmer:
-        # hacher le kmer
-        hache = abs(hash(kmer))
-        # si le hash est dans le grand_tableau
-        # récupérer son index
-        # récupérer son rang (utiliser la fonction count())
-        # ajouter à la mphf [h, rang]
-        # mettre à jour max_rang
-        if hache in grand_tableau_dict:
-            index = grand_tableau_dict[hache]
-            rang = grand_tableau[:index].count(hache)
-            mphf.append([hache, rang])
-            max_rang = max(max_rang, rang)
-
-    for kmer in set_kmer_courant:  # gestion des collisions: expliquer les 3 lignes du dessous
-        max_rang += 1  # On attribue un nouveau rang unique à chaque élément en collision.
-        h = abs(hash(kmer))  # Recalcul du hash, on veut uniquement des entiers positifs.
-        mphf.append([h, max_rang])  # On ajoute le k-mer à mphf
-    # On fait ces étapes car les collisions n'ont pas pu être placées avant,
-    #  on leur attribue un rang plus grand pour ne pas perturber l'ordre précédent
-    if not mphf:
-        print("Attention : MPHF vide, vérifiez les données en entrée.")
-
-    return mphf
-
-
-def get_hash_mphf(mphf, kmer):
-    """
-	Calcule le hash d'un k-mer à l'aide d'une fonction de hachage minimale parfaite (MPHF).
-
-	Parameters:
-	mphf (list): Table de hachage minimale parfaite.
-	kmer (str): K-mer à hasher.
-
-	Returns:
-	int: Hash du k-mer.
-
-	Examples:
-	>>> set_kmer = {str(i) for i in range(10)}
-	>>> n = 10
-	>>> mphf = construction_mphf(set_kmer, n)
-	>>> kmer = "5"
-	>>> hash_mphf = get_hash_mphf(mphf, kmer)
-	>>> 0 <= hash_mphf < n
-	True
-	"""
-    hache = abs(hash(kmer))
-    for h, rang in mphf:
-        if h == hache:
-            return rang
-    return -1
-
-
-def create_hash_table(set_kmer, n):
-    """
-	Crée une table de hachage à partir d'un ensemble de k-mers et d'une mphf
-
-	Parameters:
-	set_kmer (set): Ensemble de k-mers.
-	n (int): Taille de la table de hachage.
-
-	Returns:
-	list: Table de hachage créée à partir des k-mers
-	mphf: la mphf
-
-	Examples:
-	>>> set_kmer = {'ATCG', 'TGCA', 'GCTA'}
-	>>> n = 10
-	>>> tableau = create_hash_table(set_kmer, n)
-	>>> len(tableau) == n
-	True
-	>>> all(kmer in tableau for kmer in set_kmer)
-	True
-	"""
-    mphf = construction_mphf(set_kmer, n)  # créer la mphf pour les kmers
-    # initialiser un tableau de taille n (une liste)
-    tableau = [None] * n
-    # écrire les kmers aux adresses du tableau données par la mphf
-    for kmer in set_kmer:
-        adresse = get_hash_mphf(mphf, kmer)
-        if adresse == -1:
-            print(f"Erreur : Impossible de trouver l'adresse pour {kmer} (MPHF renvoie -1)")
-            continue
-        if 0 <= adresse < n:
-            tableau[adresse] = kmer
-    return tableau, mphf  # retourner le tableau et la mphf
-
-
-def generer_kmers(n, k):
-    '''
-	genere un set de n k-mers
-	'''
-    kmers = set()
-    while len(kmers) < n:
-        kmer = ''.join(random.choice('ATCG') for _ in range(k))
-        kmers.add(kmer)
-    return kmers
-
-
-def compare_taille(n_max, fichier_sortie):
-    n_values = []
-    table_size = []
-    dict_size = []
-    k = 21
-
-    for n in range(100, n_max, 1000):
-        set_kmer = generer_kmers(n, k)
-        tableau, mphf = create_hash_table(set_kmer, n)
-
-        n_values.append(n)
-        table_size.append(sys.getsizeof(tableau) + sys.getsizeof(
-            mphf))  # pourquoi ici on ne mesure pas juste la taille en mémoire du tableau ?
-        # Car sys.getsizeof(tableau) ne mesure que la liste elle-même, pas les objets stockés dedans.
-        # On veut mesurer la mémoire totale du système de hachage, pas seulement la liste.
-        dict_size.append(sys.getsizeof(set_kmer))
-
-    plt.plot(n_values, table_size, label='Table avec MPHF')
-    plt.plot(n_values, dict_size, label='Dict')
-    plt.xlabel('n')
-    plt.xticks(n_values, [str(x) for x in n_values], rotation=45)
-    plt.ylabel('Taille (octets)')
-    plt.title('Évolution de la taille de la table de hachage avec MPHF et du dict')
-    plt.legend()
-    plt.savefig(fichier_sortie)
-    plt.close()
-
-
-# dé-commenter quand vous êtes prêts, expliquer les résultats
-compare_taille(10000, "mphf.png")
-
-# Sur le graphe obtenu, on observe que la taille de la table de hachage du dictionnaire augmente par paliers,
-# alors que celle de la MPHF augmente de manière linéaire, et beaucoup plus progressivement.
-# Cela est cohérent, en effet le dictionnaire va allouer plus d'espace dès que le nombre d'éléments atteint un seuil.
-# Quant à la MPHF, elle minimise la mémoire en évitant les collisions.
-
-- 
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