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 Scala (2.13.1) (judge verdict: Accepted)

import scala.io.StdIn.readLine

object Main extends App {
  val s = readLine()
  val t = readLine()
  
  def rotate(str: String): String = {
    str.last + str.init
  }
  
  def verify(in: String): String = {
    if (in == t)
      "Yes"
    else
      if (in == s)
        "No"
      else
        verify(rotate(in))
  }
  
  val result = if (s == t)
    "Yes"
  else
    verify(rotate(s))
  
  println(result)
}