Still don't work

reed_solomon.py

 # Created on 09/12/2021
 from polynome import *
+from inverse_mult import *
 
 def get_possibilities(l: list):
 	pass
 
 def lagrange_compute(l: list) -> polynome:
 	list_s = [0] * len(l)
-	list_p = [1] * 2 + [0] * (len(l)-2)
+	list_p = [0] * len(l)
 	sum_poly = polynome(list_s)
-	product_poly = polynome(list_p)
+	#product_poly = polynome(list_p)
+	first_time = True
 
 	for x_i, y_i in enumerate(l):
 		for x_j, y_j in enumerate(l):
 			if x_j != x_i:
-				product_poly = product_poly.mul(polynome([(y_i * (0-x_j)) /(x_i - x_j) , y_i / (x_i - x_j)]))
-				#product_poly.show()
+				list_p[0] = -x_j / (x_i - x_j)
+				list_p[1] =	1 / (x_i - x_j)
+				if first_time:
+					product_poly = polynome(list_p)
+					first_time = False
+				else:					
+					product_poly = product_poly.mul(polynome(list_p))
+		product_poly.show()
+		first_time = True
 		sum_poly = sum_poly.add(product_poly)
-		#sum_poly.show()
-		product_poly = polynome(list_p)
+		sum_poly.show()
+		list_p = [0] * len(l)
 	return sum_poly
 
 def check_nb_error(l: list, p: polynome) -> int:
@@ -25,7 +34,7 @@ def check_nb_error(l: list, p: polynome) -> int:
 
 if __name__ == '__main__':
 	list_ = [1, 2, 3]
-	print(list_)
+	#print(list_)
 	poly = lagrange_compute(list_)
 	poly.show()
 	#print(poly.evaluate(0))
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