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 $A_1B_1 + A_2B_2 + A_3B_3 + \\dots + A_NB_N = 0$.

Constraints

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

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.

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 $1 \\times 3 + 3 \\times (-6) + 5 \\times 3 = 0$.