New Year and North Pole

Time Limit: 2 seconds

Memory Limit: 256 megabytes

Description

In this problem we assume the Earth to be a completely round ball and its surface a perfect sphere. The length of the equator and any meridian is considered to be exactly 40 000 kilometers. Thus, travelling from North Pole to South Pole or vice versa takes exactly 20 000 kilometers.

Limak, a polar bear, lives on the North Pole. Close to the New Year, he helps somebody with delivering packages all around the world. Instead of coordinates of places to visit, Limak got a description how he should move, assuming that he starts from the North Pole. The description consists of n parts. In the i-th part of his journey, Limak should move ti kilometers in the direction represented by a string diri that is one of: "North", "South", "West", "East".

Limak isn’t sure whether the description is valid. You must help him to check the following conditions:

• If at any moment of time (before any of the instructions or while performing one of them) Limak is on the North Pole, he can move only to the South.
• If at any moment of time (before any of the instructions or while performing one of them) Limak is on the South Pole, he can move only to the North.
• The journey must end on the North Pole.

Check if the above conditions are satisfied and print "YES" or "NO" on a single line.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 50).

The i-th of next n lines contains an integer ti and a string diri (1 ≤ ti ≤ 106, ) — the length and the direction of the i-th part of the journey, according to the description Limak got.

Output

Print "YES" if the description satisfies the three conditions, otherwise print "NO", both without the quotes.

Sample Input

Input57500 South10000 East3500 North4444 West4000 NorthOutputYESInput215000 South4000 EastOutputNOInput520000 South1000 North1000000 West9000 North10000 NorthOutputYESInput320000 South10 East20000 NorthOutputNOInput21000 North1000 SouthOutputNOInput450 South50 North15000 South15000 NorthOutputYES

Sample Output

None

Hint

Drawings below show how Limak's journey would look like in first two samples. In the second sample the answer is "NO" because he doesn't end on the North Pole.

None