Write and Erase

You are playing the following game with Joisino.

• Initially, you have a blank sheet of paper.
• Joisino announces a number. If that number is written on the sheet, erase the number from the sheet; if not, write the number on the sheet. This process is repeated N times.
• Then, you are asked a question: How many numbers are written on the sheet now?

The numbers announced by Joisino are given as A_1, ... ,A_N in the order she announces them. How many numbers will be written on the sheet at the end of the game?

Constraints

• 1≤N≤100000
• 1≤A_i≤1000000000(=10^9)
• All input values are integers.

Input

Input is given from Standard Input in the following format:

N A_1 : A_N

Output

Print how many numbers will be written on the sheet at the end of the game.

Examples

Input

3 6 2 6

Output

1

Input

4 2 5 5 2

Output

0

Input

6 12 22 16 22 18 12

Output

2

inputFormat

input values are integers.

Input

Input is given from Standard Input in the following format:

N A_1 : A_N

outputFormat

Output

Print how many numbers will be written on the sheet at the end of the game.

Examples

Input

3 6 2 6

Output

1

Input

4 2 5 5 2

Output

0

Input

6 12 22 16 22 18 12

Output

2

样例

3
6
2
6

1