def down():
	E = {}	
	E[20] = 0.0

	for i in range(20, 1, -1):
		E[i-1] = (1 - E[i]) / i
	
	return E
	
def up():	
	E = {}
	E[1] = 0.367879
	
	for i in range(2, 20+1):
		E[i] = 1 - i*E[i-1]
		
	return E
		
def print_E(E):
	return ", ".join("E[{}] = {:.3}".format(k, v) for k, v in E.items())
	
print(print_E(down()))
print(print_E(up()))