# ---------------------------------
# the solution
# ---------------------------------

def is_happy(n):
    numbers_seen = []
    while True:
        if n == 1:
            return True
        if n in numbers_seen:
            return False
        numbers_seen.append(n)
        n = sum_of_digits_squared(n)

# ---------------------------------
# a helper function
# ---------------------------------

def sum_of_digits_squared(n):
    total = 0
    while n > 0:
        one_digit = n % 10
        total += (one_digit ** 2)
        n = n // 10
    return total

# ---------------------------------
# two functions that use is_happy()
# ---------------------------------

def find_happiness():
    while True:
        n_str = input('Number to test: ')
        if not n_str:
            break
        n = int( n_str )
        print( is_happy(n) )

def print_happy(limit):
    for i in range(limit):
        n = i + 1
        if is_happy(n):
            print( n, end=' ' )
    print()