a,b,N = -1,-1,0 while a<0: a = float(input("Entrez un réel a > 0 : ")) while b<0: b = float(input("Entrez un réel b > 0 : ")) while N == 0: N = int(input("Entrez un entier N non nul : ")) u,v,n = a,b,0 while n < N: n += 1 u = (a+b)/2 v = ((a*a+b*b)/2)**0.5 a,b = u,v print("u = ",u," et v = ",v)