Problem:
Score : 200 points

Problem Statement

You are given string S and T consisting of lowercase English letters.

Determine if S equals T after rotation.

That is, determine if S equals T after the following operation is performed some number of times:

Operation: Let S = S_1 S_2 ... S_{|S|}. Change S to S_{|S|} S_1 S_2 ... S_{|S|-1}.

Here, |X| denotes the length of the string X.

Constraints

2 \leq |S| \leq 100

|S| = |T|

S and T consist of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S
T

Output

If S equals T after rotation, print Yes; if it does not, print No.

Sample Input 1

kyoto
tokyo

Sample Output 1

Yes

In the first operation, kyoto becomes okyot.

In the second operation, okyot becomes tokyo.

Sample Input 2

abc
arc

Sample Output 2

No

abc does not equal arc after any number of operations.

Sample Input 3

aaaaaaaaaaaaaaab
aaaaaaaaaaaaaaab

Sample Output 3

Yes

Solution in Ruby (2.3.3) (judge verdict: Accepted)

if ARGV[0]=="LOCAL_DEV"
  define_method("debug") do |var|
    p var
  end
else
  define_method("debug") do |var|
  end
end

s=STDIN.gets.strip
t=STDIN.gets.strip
if s==t
  puts "Yes"
  exit
end

(1..s.size-1).each do |i|
  ss=s[s.size-1]
  ss+=s[0,s.size-1]
  debug ss
  if t==ss
    puts "Yes"
    exit
  end
  s=ss
end
puts "No"