def balayage(p):
    # encadrement de racine carrée de 2 d'amplitude 10^(-p)
    a, b = 1, 2
    x = 2**0.5 # racine carrée de 2
    e = 0 # exposant de 10
    while e > -p:
        e = e - 1
        # balayage de [a;b]
        while x > a:
            a = a + 10**e
        
        b = a
        a = b - 10**e
        
    return round(a,abs(e)) , round(b,abs(e))
        
print( balayage(10) )