The hockey event at the Winter Olympics will be happening soon! UselessLeaf will bet with his friends about how the countries will place.

The tournament will be operating in a round-robin fashion. There are countries competing, numbered from to , and they will be split into groups of size . matches will then occur in each group, where each country in their group play against each other country in the group once, resulting in a total of matches. After a match, the winning country gains 3 points, while the losing country gains 0. If it is a tie, both countries gain 1 point.

The tournament ends when all matches have been played. The countries in each group will then be ranked by their points. If there is a tie, the lower-numbered country should be ranked better (for example, if country and country where got the same number of points, country should be ranked better than country ).

A time traveller has suddenly appeared and provided UselessLeaf with the results of the matches. He provides the two countries in the match, and , and the result of the match, an uppercase letter where `W`

means country won the match, `L`

means country won the match, and `T`

means the match ended in a tie.

UselessLeaf is participating in a bet where he has to guess the country that places in each group and needs your help figuring this out!

#### Constraints

`W`

`L`

`T`

##### Subtask 1 [5/15]

##### Subtask 2 [10/15]

No additional constraints.

#### Input Specification

The first line will contain two space-separated integers , the number of countries competing, and , the number of countries in each group.

The next lines will contain space-separated integers, the countries that are in the group.

The next lines will contain two space-separated integers and , the countries involved in this match, and one character , the result of the match between country and country .

The next line will contain one integer , where UselessLeaf must figure out which country placed in each group.

#### Output Specification

Output space-separated integers, the integer being the country that placed in the group.

#### Sample Input

```
4 2
3 1
2 4
1 3 W
2 4 T
2
```

#### Sample Output

`3 4`

#### Explanation

In group , since `1`

beat `3`

, `1`

is ranked , while `3`

is ranked .
In group , there is a tie for first and second in terms of points between `2`

and `4`

, but `2`

is the lower numbered country so is ranked , meaning `4`

is ranked .

## Comments

Great Question by a great Author!!

agreed.