D - Built?

Time Limit: 2 sec / Memory Limit: 256 MB

### 制約

• 2 ≦ N ≦ 10^5
• 0 ≦ x_i,y_i ≦ 10^9
• 入力は全て整数である

### 入力

N
x_1 y_1
x_2 y_2
:
x_N y_N


### 入力例 1

3
1 5
3 9
7 8


### 出力例 1

3


12 、街 23 の間に道を造ると、かかるお金は 2+1=3 円になります。

### 入力例 2

6
8 3
4 9
12 19
18 1
13 5
7 6


### 出力例 2

8


Score : 500 points

### Problem Statement

There are N towns on a plane. The i-th town is located at the coordinates (x_i,y_i). There may be more than one town at the same coordinates.

You can build a road between two towns at coordinates (a,b) and (c,d) for a cost of min(|a-c|,|b-d|) yen (the currency of Japan). It is not possible to build other types of roads.

Your objective is to build roads so that it will be possible to travel between every pair of towns by traversing roads. At least how much money is necessary to achieve this?

### Constraints

• 2 ≤ N ≤ 10^5
• 0 ≤ x_i,y_i ≤ 10^9
• All input values are integers.

### Input

Input is given from Standard Input in the following format:

N
x_1 y_1
x_2 y_2
:
x_N y_N


### Output

Print the minimum necessary amount of money in order to build roads so that it will be possible to travel between every pair of towns by traversing roads.

### Sample Input 1

3
1 5
3 9
7 8


### Sample Output 1

3


Build a road between Towns 1 and 2, and another between Towns 2 and 3. The total cost is 2+1=3 yen.

### Sample Input 2

6
8 3
4 9
12 19
18 1
13 5
7 6


### Sample Output 2

8