Problem: Many people are aware of DMCA – Digital Millennium Copyright Act. But another recently proposed DMCA – Digital Millennium Calculation Act – is much less known.

In this problem you need to find a root of a number according to this new DMCA law.

Input

The input contains a single integer a (1 ≤ a ≤ 1000000).

Output

Output the result – an integer number.

Examples

Input


1


Output


1


Input


81


Output


9

Solution (in PYTHON3):

Solution:
# print(round((int(input())) ** 0.5) % 1000)
func = lambda x: str(sum(list(map(int, list(x)))))
a = input()
while len(a) > 1:
    a = func(a)
print(a)