using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;

class TEST{
	static void Main(){
		Sol mySol =new Sol();
		mySol.Solve();
	}
}

class Sol{
	public void Solve(){
		
		int N2 = N * 2;
		
		if(S[0] == 'W'){
			Console.WriteLine(0);
			return;
		}
		
		int[] LR = new int[N2];
		LR[0] = 0;
		for(int i=1;i<N2;i++){
			if(LR[i-1] == 0){
				if(S[i-1] == 'B' && S[i] == 'W') LR[i] = 0;
				if(S[i-1] == 'B' && S[i] == 'B') LR[i] = 1;
				if(S[i-1] == 'W' && S[i] == 'W') LR[i] = 1;
				if(S[i-1] == 'W' && S[i] == 'B') LR[i] = 0;
			} else {
				if(S[i-1] == 'B' && S[i] == 'W') LR[i] = 1;
				if(S[i-1] == 'B' && S[i] == 'B') LR[i] = 0;
				if(S[i-1] == 'W' && S[i] == 'W') LR[i] = 0;
				if(S[i-1] == 'W' && S[i] == 'B') LR[i] = 1;
			}
		}
		
		int[] cnt = new int[2];
		for(int i=0;i<N2;i++) cnt[LR[i]]++;
		if(cnt[0] != cnt[1]){
			Console.WriteLine(0);
			return;
		}
		
		//Console.WriteLine(String.Join("",LR));
		int dep = 0;
		int l = 0;
		int r = 0;
		mlong ans = 1;
		for(int i=0;i<N2;i++){
			if(LR[i] == 0) dep++;
			else dep--;
			if(dep < 0){
				Console.WriteLine(0);
				return;
			}
			if(LR[i] == 1){
				ans *= l;
				l--;
			}
			if(LR[i] == 0) l++;
			else  r++;
		}
		
		mlong p = 1;
		for(int i=0;i<N;i++) p *= (i + 1);
		
		Console.WriteLine(dep == 0 ? ans * p: 0);
		
		
		
		
		
	}
	int N;
	String S;
	public Sol(){
		N = ri();
		S = rs();
	}

	static String rs(){return Console.ReadLine();}
	static int ri(){return int.Parse(Console.ReadLine());}
	static long rl(){return long.Parse(Console.ReadLine());}
	static double rd(){return double.Parse(Console.ReadLine());}
	static String[] rsa(char sep=' '){return Console.ReadLine().Split(sep);}
	static int[] ria(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>int.Parse(e));}
	static long[] rla(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>long.Parse(e));}
	static double[] rda(char sep=' '){return Array.ConvertAll(Console.ReadLine().Split(sep),e=>double.Parse(e));}
}


struct mlong {
	
	const long mod = (long) 1e9 + 7;
	long V;
	
	public mlong(long _v = 0){
		V = _v;
	}
	
	public static mlong operator+(mlong a, mlong b){
		var v0 = a.V + b.V; if(v0 >= mod) v0 -= mod;
		return new mlong(v0);
	}
	public static mlong operator-(mlong a, mlong b){
		var v0 = mod + a.V - b.V; if(v0 >= mod) v0 -= mod;
		return new mlong(v0);
	}
	public static mlong operator-(mlong b){
		var v0 = mod - b.V; if(v0 >= mod) v0 -= mod;
		return new mlong(v0);
	}
	public static mlong operator*(mlong a, mlong b){
		var v0 = a.V * b.V; if(v0 >= mod) v0 %= mod;
		return new mlong(v0);
	}
	public static mlong operator/(mlong a, mlong b){
		var v0 = a.V * inv(b.V).V; if(v0 >= mod) v0 %= mod;
		return new mlong(v0);
	}
	
	
	public static mlong inv(long x){
		long a = 0, b = 0, c = 0;
		ExtGCD(x, mod, ref a, ref b, ref c);
		return (mlong)((a + mod) % mod);
	}
	
	public static void ExtGCD(long x, long y, ref long a, ref long b, ref long c){
		long r0 = x; long r1 = y;
		long a0 = 1; long a1 = 0;
		long b0 = 0; long b1 = 1;
		long q1, r2, a2, b2;
		while(r1 > 0){
			q1 = r0 / r1;
			r2 = r0 % r1;
			a2 = a0 - q1 * a1;
			b2 = b0 - q1 * b1;
			r0 = r1; r1 = r2;
			a0 = a1; a1 = a2;
			b0 = b1; b1 = b2;
		}
		c = r0;
		a = a0;
		b = b0;
	}
	
	public static mlong ModPow(mlong a, long k){
		if(k == 0) return (mlong) 1;
		if(a == 0) return (mlong) 0;
		mlong x = a;
		mlong ret = 1;
		while(k > 0){
			if(k % 2 == 1) ret *= x;
			x *= x;
			k >>= 1;
		}
		return ret;
	}
	
	
	public static bool operator == (mlong a, mlong b){
		 return a.Equals(b);
	}
	public static bool operator != (mlong a, mlong b){
		 return !(a == b);
	}
	
	public override bool Equals(System.Object obj){
		if(obj  ==  null) return false;
		mlong p  =  (mlong) obj;
		if((System.Object) p  ==  null) return false;
		return p.V  ==  V;
	}
	public override int GetHashCode(){
		return V.GetHashCode();
	}
	
	public static implicit operator mlong(long n){
		long v = n % mod; if(v < 0) v += mod;
		return new mlong(v);
	}
	public static implicit operator mlong(int n){
		long v = n % mod; if(v < 0) v += mod;
		return new mlong(v);
	}
	public static explicit operator long(mlong n){
		return n.V;
	}
	
	public override String ToString(){
		return V.ToString();
	}
	
	
}

Measured memory_bytes: 13408