Problem1636--New Year and North Pole

1636: New Year and North Pole

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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 40000 kilometers. Thus, travelling from North Pole to South Pole or vice versa takes exactly 20000 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.

Examples
Input
5
7500 South
10000 East
3500 North
4444 West
4000 North
Output
YES
Input
2
15000 South
4000 East
Output
NO
Input
5
20000 South
1000 North
1000000 West
9000 North
10000 North
Output
YES
Input
3
20000 South
10 East
20000 North
Output
NO
Input
2
1000 North
1000 South
Output
NO
Input
4
50 South
50 North
15000 South
15000 North
Output
YES
Note

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.

Source/Category

 
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