#abc237a. [abc237_a]Not Overflow

[abc237_a]Not Overflow

Problem Statement

You are given an integer NN. If NN is between \-231\-2^{31} and 23112^{31}-1 (inclusive), print Yes; otherwise, print No.

Constraints

  • \-263leqN<263\-2^{63} \\leq N < 2^{63}
  • NN is an integer.

Input

Input is given from Standard Input in the following format:

NN

Output

If NN is between \-231\-2^{31} and 23112^{31}-1 (inclusive), print Yes; otherwise, print No.


Sample Input 1

10

Sample Output 1

Yes

1010 is between \-231\-2^{31} and 23112^{31}-1, so Yes should be printed.


Sample Input 2

-9876543210

Sample Output 2

No

\-9876543210\-9876543210 is less than \-231\-2^{31}, so No should be printed.


Sample Input 3

483597848400000

Sample Output 3

No

483597848400000483597848400000 is greater than 23112^{31}-1, so No should be printed.