Robot Path

You are given a description of a robot's path. The robot begins at point (0,0) and performs n commands. Each command moves the robot some distance up, down, left or right. The robot will stop when it has performed all commands, or immediately when it returns to a point that it has already visited. Your task is to calculate the total distance the robot moves.

Input

The first line has an integer n: the number of commands. After that, there are n lines describing the commands. Each line has a character d and an integer x: the robot moves the distance x to the direction d. Each direction is U (up), D (down), L (left), or R (right).

Output

Print the total distance the robot moves.

Constraints

$1 \le n \le 10^5$

$1 \le x \le 10^6$

Example

Input

5
U 2
R 3
D 1
L 5
U 2

Output

9