#!/usr/bin/python3

from fractions import Fraction

def greedy (x, forceOdd = False):
        L = []
        print(str(x) + " = ", end = "")
        while x > 0:
                inv = Fraction(1) / x
                u = int(inv)
                if u < inv:
                        u += 1
                if forceOdd and u % 2 == 0:
                        u += 1
                f = Fraction(1, u)
                L.append(f)
                x -= f
        print(" + ".join(map(str, L)))

print (greedy(Fraction(20, 21)))
print (greedy(Fraction(20, 21), True))