Problem Statement

Snuke has $N$ hats. The $i$-th hat has an integer $a_i$ written on it.

There are $N$ camels standing in a circle. Snuke will put one of his hats on each of these camels.

If there exists a way to distribute the hats to the camels such that the following condition is satisfied for every camel, print Yes; otherwise, print No.

• The bitwise XOR of the numbers written on the hats on both adjacent camels is equal to the number on the hat on itself.

What is XOR? The bitwise XOR $x_1 \oplus x_2 \oplus \ldots \oplus x_n$ of $n$ non-negative integers $x_1, x_2, \ldots, x_n$ is defined as follows: - When $x_1 \oplus x_2 \oplus \ldots \oplus x_n$ is written in base two, the digit in the $2^k$'s place ($k \geq 0$) is $1$ if the number of integers among $x_1, x_2, \ldots, x_n$ whose binary representations have $1$ in the $2^k$'s place is odd, and $0$ if that count is even. For example, $3 \oplus 5 = 6$.

Constraints

• All values in input are integers.
• $3 \leq N \leq 10^{5}$
• $0 \leq a_i \leq 10^{9}$

Input

Input is given from Standard Input in the following format:

N
a_1 a_2 \ldots a_{N}

Output

Print the answer.