IIT BHU A marathon is being organised in the hilly terrains of Ladakh. Since the region is sparsely populated, care must be taken to ensure that no runner gets lost along the route. There are multiple checkpoints along the route, and each checkpoint must connect to only one downstream checkpoint. However, since there were multiple teams working on setting up the connections, there have been some mistakes, and there are some checkpoints which are connecting to more than one downstream checkpoints.

The checkpoint details are given, with each checkpoint represented by a random integer. Write a program to identify the checkpoints which are connecting to more than one downstream checkpoints, and print their sum as the output.

The route details are given as a list of relations between the Starting point and the checkpoints. The relations are indicated as L, R, LL, LR... and so on, where the checkpoint is to the left (L), or left-left (LL) or right-left (RL) to the Starting point.

Read the input from STDIN and print the output to STDOUT. Do not print arbitrary strings anywhere in the program, as these contribute to the output and test cases will fail.

Problem

Input

The first line of input contains an integer, N, the number of checkpoints in the route, including the Starting point. The second line of input contains an integer, which is the Starting point of the route. The next N-1 lines of input contain a string, S and an integer, X separated by a single white space, where X is a checkpoint along the route and S is the relation between the Starting point and X.

Output

The output contains an integer which is the sum of all checkpoints connecting to more than one downstream checkpoint.

Constraints

• 3 <= Number of checkpoints <= 100

Example

Sample Input1:

6 70 L 50 LR 65 LRL 60 LRR 68 LRRL 69

Sample Output1:

197

Sample Input2:

8 24 R 35 RL 30 RLL 28 RLR 34 RLLL 25 RLLR 29 RLRL 33

Sample Output2:

58