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CSES Problem Set

Robot Path


Task | Statistics


CSES - Robot PathCSES - Robot Path

Time limit:1.00 s Memory limit:512 MB

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 input 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
Example

Input:
5
U 2
R 3
D 1
L 5
U 2


Output:
9