Given an integer

`n`

and a number `p`

which is a power of 2, you are asked to find out if the bit corresponding to `p`

is set to 1 in `n`

. Input

The input contains two integers

`n`

(1 ≤ n ≤ ) and `p`

(1 ≤ p ≤ ). Output

The program should print

`Yes`

if the corresponding bit is set and `No`

otherwise. Examples

Input | Output |

9 8 | Yes |

9 4 | No |

9 1 | Yes |

311 4 | Yes |

311 8 | No |

Explanation

- 9 → 1001, 8 → 1000 ⇒ the most significant bit is set which corresponds to 8

- 9 → 1001, 4 → 100 ⇒ the 3rd (from the right) bit is not set

- 9 → 1001, 1 → 1 ⇒ the least significant bit is set which corresponds to 1

- 311 → 100110111, 4 → 100 ⇒ the 3rd (from the right) bit is set

- 311 → 100110111, 8 → 1000 ⇒ the 4th (from the right) bit is not set