# 991. Broken Calculator

On a broken calculator that has a number showing on its display, we can perform two operations:

Double: Multiply the number on the display by 2, or;

Decrement: Subtract 1 from the number on the display.

Initially, the calculator is displaying the number X.

Return the minimum number of operations needed to display the number Y.

Example 1:

```
Input: X = 2, Y = 3
Output: 2
Explanation: Use double operation and then decrement operation {2 -> 4 -> 3}.
```

Example 2:

```
Input: X = 5, Y = 8
Output: 2
```

Explanation: Use decrement and then double {5 -> 4 -> 8}.

Example 3:

```
Input: X = 3, Y = 10
Output: 3
```

Explanation: Use double, decrement and double {3 -> 6 -> 5 -> 10}.

Example 4:

```
Input: X = 1024, Y = 1
Output: 1023
```

Explanation: Use decrement operations 1023 times.

Note:

1 <= X <= 10^{9}

1 <= Y <= 10^{9}

```
class Solution {
/**
* @param Integer $x
* @param Integer $y
* @return Integer
*/
function brokenCalc($x, $y) {
$c = 0;
while($x < $y){
if($y % 2 == 0){
$y /= 2;
} else {
$y ++;
}
$c ++;
}
return $c + $x - $y;
}
}
```

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