Given an integer

`n`

, you are asked to calculate its most significant bit and print the corresponding power of 2. Input

The input contains a single integer

`n`

(1 ≤ n ≤ ). Output

The program should print the index of the most significant bit and the corresponding power of 2 separated by a space. The indexing starts at 0.

Examples

Input | Output |

9 | 3 8 |

311 | 8 256 |

Explanation

- 9 → 1001 ⇒ the index is 3 and the power of 2 is 8

- 311 → 100110111 ⇒ the index is 8 and the power of 2 is 256