Q[b] has recently been visited by extra-terrestrials from planet Quan_Lank, where everyone’s name is a positive integer. All residents of the planet know each other. Two Quan_Lank-ians calculate the strength of their friendship by converting their names to binary, aligning them one under the other, and writing a digit in each column: 0 if the two binary digits in that column are equal, 1 if they differ. The binary result is then converted back to the decimal system.

For example, the friendship value of 19 and 10 equals 25:

1   0   0   1   1   =  19
0   1   0   1   0   =  10
-------------------------
1   1   0   0   1   =  25

The value of a planet in the Universe is defined as the sum of all friendship values. Q[b] has asked you to help him compute the value of planet Quan_Lank!

Input

The first line of input contains the positive integer N (the number of residents of planet Quan_Lank , 1<=N<=10^6).
The next N lines contain the names of residents - positive integers smaller than 10^6, one per line.

Output

The only line of output must contain the value of planet Quan_Lank.

Sample

Input:
2
19
10

Output:
25

Input:
3
7
3
5

Output:
12

Second sample description: The friendship value of residents 1 and 2 equals 4, for residents 1 and 3 it equals 2, and for residents 2 and 3 it equals 6. The solution is 4 + 2 + 6 = 12.