Problem:
Score : 200 points

Problem Statement

Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusive) together.

Given an integer N, determine whether N can be represented as the product of two integers between 1 and 9. If it can, print Yes; if it cannot, print No.

Constraints

1 \leq N \leq 100

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If N can be represented as the product of two integers between 1 and 9 (inclusive), print Yes; if it cannot, print No.

Sample Input 1

10

Sample Output 1

Yes

10 can be represented as, for example, 2 \times 5.

Sample Input 2

50

Sample Output 2

No

50 cannot be represented as the product of two integers between 1 and 9.

Sample Input 3

81

Sample Output 3

Yes

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

require "prime"

N = gets.chomp.to_i

if N > 81
  puts "No"
  exit
end

factors = N.prime_division

if factors.size == 1
  n, m = factors[0]

  if (1..9).include?(n) && [2, 4].include?(m)
    puts "Yes"
    exit
  end
else
  if factors.all? { |n, m| (1..9).include?(n) && m == 1 }
    puts "Yes"
    exit
  end
end

puts "No"