import java.io.*;
import java.nio.CharBuffer;
import java.util.NoSuchElementException;

public class Main {

    private static final int MOD = 1000000007;

    public static void main(String[] args) {
        SimpleScanner scanner = new SimpleScanner(System.in);
        PrintWriter writer = new PrintWriter(System.out);

        int n = scanner.nextInt();
        char[] s = scanner.next().toCharArray();
        int open = 0;
        long ans = 1;
        for (int i = 0; i < 2 * n; ++i) {
            if (i % 2 == 0) {
                if (s[i] == 'B') {
                    ++open;
                } else {
                    if (open > 0) {
                        ans = ans * open % MOD;
                        --open;
                    } else {
                        ans = 0;
                        break;
                    }
                }
            } else {
                if (s[i] == 'B') {
                    if (open > 0) {
                        ans = ans * open % MOD;
                        --open;
                    } else {
                        ans = 0;
                        break;
                    }
                } else {
                    ++open;
                }
            }
        }
        if (open > 0)
            ans = 0;
        if (ans > 0) {
            for (int i = 1; i <= n; ++i)
                ans = ans * i % MOD;
        }
        writer.println(ans);
        writer.close();
    }

    private static class SimpleScanner {

        private static final int BUFFER_SIZE = 10240;

        private Readable in;
        private CharBuffer buffer;
        private boolean eof;

        SimpleScanner(InputStream in) {
            this.in = new BufferedReader(new InputStreamReader(in));
            buffer = CharBuffer.allocate(BUFFER_SIZE);
            buffer.limit(0);
            eof = false;
        }


        private char read() {
            if (!buffer.hasRemaining()) {
                buffer.clear();
                int n;
                try {
                    n = in.read(buffer);
                } catch (IOException e) {
                    n = -1;
                }
                if (n <= 0) {
                    eof = true;
                    return '\0';
                }
                buffer.flip();
            }
            return buffer.get();
        }

        private void checkEof() {
            if (eof)
                throw new NoSuchElementException();
        }

        private char nextChar() {
            checkEof();
            char b = read();
            checkEof();
            return b;
        }

        private String next() {
            char b;
            do {
                b = read();
                checkEof();
            } while (Character.isWhitespace(b));
            StringBuilder sb = new StringBuilder();
            do {
                sb.append(b);
                b = read();
            } while (!eof && !Character.isWhitespace(b));
            return sb.toString();
        }

        private int nextInt() {
            return Integer.valueOf(next());
        }

        private long nextLong() {
            return Long.valueOf(next());
        }

        private double nextDouble() {
            return Double.parseDouble(next());
        }
    }
}

Measured memory_bytes: 25428