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:
def digitalRoot(num):
    num = sum(list(map(int,list(str(num)))))
    if(len(str(num))==1):
        return num
    else:
        return digitalRoot(num)

num = int(input())
print(digitalRoot(num))