diff --git a/utils/__init__.py b/utils/__init__.py
index 02e1c74..e8a0178 100644
--- a/utils/__init__.py
+++ b/utils/__init__.py
@@ -1,8 +1,84 @@
 """
 Ce module contient des fonctions utilisataires
 """
+from HMM import HMM
 
 
 def normalize_probabilities(prob_fr: float, prob_en: float, prob_it: float, searched: float) -> float:
     sum = prob_fr + prob_en + prob_it
     return searched / sum
+
+
+def forward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: str):
+    """
+    Prints the language detected with forward method
+    :param hmm_fr: lambda_fr
+    :param hmm_en: lambda_en
+    :param hmm_it: lambda_it
+    :param O: mot à détecter
+    :return:
+    """
+    res_fr = hmm_fr.forward(O)
+    res_en = hmm_en.forward(O)
+    res_it = hmm_it.forward(O)
+
+    proba_fr = normalize_probabilities(res_fr, res_en, res_it, res_fr)
+    proba_en = normalize_probabilities(res_fr, res_en, res_it, res_en)
+    proba_it = normalize_probabilities(res_fr, res_en, res_it, res_it)
+
+    print(f'FR={proba_fr}, EN={proba_en}, IT={proba_it}')
+
+    probas = [proba_fr, proba_en, proba_it]
+
+    max_prob = proba_fr
+    language_index = 0
+    for index in 1..len(probas):
+        if max_prob < probas[index]:
+            max_prob = probas[index]
+            language_index = index
+
+    if language_index == 0:
+        print('Français')
+    elif language_index == 1:
+        print('Anglais')
+    else:
+        print('Italien')
+
+
+def backward_detection(hmm_fr: HMM, hmm_en: HMM, hmm_it: HMM, O: str):
+    """
+    Prints the language detected with backward method
+    :param hmm_fr: lambda_fr
+    :param hmm_en: lambda_en
+    :param hmm_it: lambda_it
+    :param O: mot à détecter
+    :return:
+    """
+    res_fr = hmm_fr.backward(O)
+    res_en = hmm_en.backward(O)
+    res_it = hmm_it.backward(O)
+
+    proba_fr = normalize_probabilities(res_fr, res_en, res_it, res_fr)
+    proba_en = normalize_probabilities(res_fr, res_en, res_it, res_en)
+    proba_it = normalize_probabilities(res_fr, res_en, res_it, res_it)
+
+    print(f'FR={proba_fr}, EN={proba_en}, IT={proba_it}')
+
+    probas = [proba_fr, proba_en, proba_it]
+
+    max_prob = proba_fr
+    language_index = 0
+    for index in 1..len(probas):
+        if max_prob < probas[index]:
+            max_prob = probas[index]
+            language_index = index
+
+    if language_index == 0:
+        print('Français')
+    elif language_index == 1:
+        print('Anglais')
+    else:
+        print('Italien')
+
+
+