**Objective**

Today, we're working with binary numbers. Check out the Tutorial tab for learning materials and an instructional video!

**Task**

Given a base- integer, , convert it to binary (base-). Then find and print the base- integer denoting the maximum number of consecutive 's in 's binary representation. When working with different bases, it is common to show the base as a subscript.

**Example**

The binary representation of is . In base , there are and consecutive ones in two groups. Print the maximum, .

**Input Format**

A single integer, .

**Constraints**

**Output Format**

Print a single base- integer that denotes the maximum number of consecutive 's in the binary representation of .

**Sample Input 1**

```
5
```

**Sample Output 1**

```
1
```

**Sample Input 2**

```
13
```

**Sample Output 2**

```
2
```

**Explanation**

*Sample Case 1:*

The binary representation of is , so the maximum number of consecutive 's is .

*Sample Case 2:*

The binary representation of is , so the maximum number of consecutive 's is .