Problem Statement

Given are two $N-dimensional vectors A = (A_1, A_2, A_3, \dots, A_N)$ and $B = (B_1, B_2, B_3, \dots, B_N)$.
Determine whether the inner product of A and B is 0.
In other words, determine whether $A_1B_1 + A_2B_2 + A_3B_3 + \dots + A_NB_N = 0$.

Input

Input is given from Standard Input in the following format:
N
$A_1 A_2 A_3 \dots A_N$
$B_1 B_2 B_3 \dots B_N$

Output

If the inner product of A and B is 0, print Yes; otherwise, print No.

Constraints

• $1 \le N \le 100000$
• -$100 \le A_i \le 100$
• -$100 \le B_i \le 100$
• All values in input are integers.

Sample Input 1

2
-3 6
4 2

Sample Output 1

Yes

The inner product of A and B is $(-3) \times 4 + 6 \times 2 = 0$.

Sample Input 2

2
4 5
-1 -3

Sample Output 2

No

The inner product of A and B is $4 \times (-1) + 5 \times (-3) = -19$.

Sample Input 3

3
1 3 5
3 -6 3

Sample Output 3

Yes

The inner product of A and B is $1 \times 3 + 3 \times (-6) + 5 \times 3 = 0$.

见题面 Input 部分

见题面 Output 部分