from __future__ import division, print_function

def inverse():
    n = 1
    count = 0
    while n < 100:
        m = 1
        while m < n:
            if m*(n-m) % n == 1:
                count = count + 1
                text = open("integers3.txt", "a")
                print ("\nIntegers mod", n, "for values", m, "and", n-m, file=text)
                print("Integers mod", n, " ----> ", m, n-m)
                break
            m = m + 1
        n = n + 1
    print("There exists", count, "such m's in this range")
    text.close()
inverse()