Problem:
Score : 200 points

Problem Statement

An integer X is called a Harshad number if X is divisible by f(X), where f(X) is the sum of the digits in X when written in base 10.

Given an integer N, determine whether it is a Harshad number.

Constraints

1?N?10^8

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print Yes if N is a Harshad number; print No otherwise.

Sample Input 1

12

Sample Output 1

Yes

f(12)=1+2=3. Since 12 is divisible by 3, 12 is a Harshad number.

Sample Input 2

57

Sample Output 2

No

f(57)=5+7=12. Since 57 is not divisible by 12, 12 is not a Harshad number.

Sample Input 3

148

Sample Output 3

No

Solution in LuaJIT (2.0.4) (judge verdict: Accepted)

local flo = math.floor

local function div_flo(divided, dividing)
	return flo(divided / dividing)
end

local N = io.read("*n")

local sum = 0
local num = N
while true do
	if num <= 0 then
		break
	end
	local drow = div_flo(num, 10) * 10
	sum = sum + num - drow

	num = div_flo(num, 10)
end

print((N % sum == 0) and "Yes" or "No")