Codeforces Round #388 (Div. 2) 749C Voting 【Analog】

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C. Voting

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

There are n employees in Alternative Cake Manufacturing (ACM). They are now voting on some very important question and the leading world media are trying to predict the outcome of the vote.

Each of the employees belongs to one of two fractions: depublicans or remocrats, and these two fractions have opposite opinions on what should be the outcome of the vote. The voting procedure is rather complicated:

1. Each of n employees makes a statement. They make statements one by one starting from employees1 and finishing with employee n. If at the moment when it's time for the i-th employee to make a statement he no longer has the right to vote, he just skips his turn (and no longer takes part in this voting).
2. When employee makes a statement, he can do nothing or declare that one of the other employees no longer has a right to vote. It's allowed to deny from voting people who already made the statement or people who are only waiting to do so. If someone is denied from voting he no longer participates in the voting till the very end.
3. When all employees are done with their statements, the procedure repeats: again, each employees starting from1 and finishing with n who are still eligible to vote make their statements.
4. The process repeats until there is only one employee eligible to vote remaining and he determines the outcome of the whole voting. Of course, he votes for the decision suitable for his fraction.

You know the order employees are going to vote and that they behave optimal (and they also know the order and who belongs to which fraction). Predict the outcome of the vote.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 200 000) — the number of employees.

The next line contains n characters. Thei-th character is 'D' if thei-th employee is from depublicans fraction or 'R' if he is from remocrats.

Output

Print 'D' if the outcome of the vote will be suitable for depublicans and 'R' if remocrats will win.

Examples

Input

5
DDRRR

Output

D

Input

6
DDRRRR

Output

R

Note

Consider one of the voting scenarios for the first sample:

1. Employee 1 denies employee 5 to vote.
2. Employee 2 denies employee 3 to vote.
3. Employee 3 has no right to vote and skips his turn (he was denied by employee2).
4. Employee 4 denies employee 2 to vote.
5. Employee 5 has no right to vote and skips his turn (he was denied by employee1).
6. Employee 1 denies employee 4.
7. Only employee 1 now has the right to vote so the voting ends with the victory of depublicans.

The meaning of the question: There are n people voting together, they are divided into two camps D and R, and they vote in order. The person who voted in front can choose to have a voter after him out. Once out, you can no longer vote. And this person (the one who knocked others out) will skip this round of voting and wait for the next round of voting. Which faction will you win in the end?

The idea: as long as two conditions are followed: the person with the first number can let the person with the last number out.

                                                When no one is present from a faction. This camp loses.

You can simulate it with two pairs of columns. The two opposing columns correspond to the two camps, respectively. When a faction is empty. This camp loses.

#include<bits/stdc++.h>
using namespace std;
#define LL long long
#define M(a)  memset(a,0,sizeof(a))
intmain()
{
    int n;
    char temp;
    queue<int>d;
    queue<int>r;
    while(~scanf("%d",&n))
    {
        for(int i = 0; i < n; i++)
        {
            cin>>temp;
            if(temp == 'D')
            {
                d.push(i);
            }
            else
                r.push(i);
        }
        while(!d.empty() && !r.empty())
        {
            int froa, frob;
            froa = d.front();
            frob = r.front();
            d.pop();
            r.pop();
            if(froa <frob)
            {
                d.push(froa + n);
            }
            else
                r.push(frob + n);
        }
        if(d.empty())
        {
            cout<<"R"<<endl;
        }
        else
        {
            cout<<"D"<<endl;
        }

        while(!d.empty())
        {
            d.pop();
        }
        while(!r.empty())
        {
            r.pop();
        }
    }
    return 0;
}