Turn Integer A into K

Given positive integers $A$ and $K$, you want to change $A$ into $K$ using the following two operations.

• Operation 1: add 1 to the integer $A$.
• Operation 2: multiply the integer $A$ by 2.

Find the minimum number of operations needed to turn $A$ into $K$.

The first line contains the positive integers $A$ and $K$, separated by a space.

Print the minimum number of operations needed to turn the positive integer $A$ into the positive integer $K$ on the first line.

$1 \le A < K \le 1,000,000$