Accident?

There is a field with \(N\) cars, and each car pointing towards direction \(D_i\). Your task is to check, if all the cars starts at the same time, will there be any accidents or not.
Note: Travelling together won’t be considered as an Accident.

Input Format

The first line contains an integer \(N\) denotes the number of cars. The next \(N\) lines contains two space-separated integers \((X_i, Y_i)\) denoting the values of coordinates of the car. The next line contains \(N\) space-separated \((D_i)\) integers denoting the direction the \(i\)^th car is pointing at.

Output Format

Print “YES” if the accident occurs, else print “NO”.

Constraints

\(1 \lt N \le 10 ^ 5\)
\(0 \lt X_i\ ,\ Y_i \le 200\)
\(D = ['N','S','E','W']\)
Time Limit: \(2\) sec
Memory Limit :\(512\) MB

Sample Input 0

3
9 9
9 9
9 9
E S S

Sample Output 0

YES