#ifdef DEBUG
    #define _GLIBCXX_DEBUG
#endif
#pragma GCC optimize("Ofast")
#include <cassert>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <functional>
#include <stack>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <unordered_set>
#include <unordered_map>
#include <complex>
#include <iomanip>
#include <bitset>
#include <random>
#include <chrono>

#define stdin_filepath "stdin.txt"
#define stdout_filepath "stdout.txt"
#define stderr_filepath "stderr.txt"
#define iostream_untie true
#define stdout_precision 10
#define stderr_precision 10
#define rep(i,n) for(int_fast64_t i = 0; i < (int_fast64_t)(n); ++i)
#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)
#define fir first
#define sec second
#define u_map unordered_map
#define u_set unordered_set
#define l_bnd lower_bound
#define u_bnd upper_bound
#define emp emplace
#define emf emplace_front
#define emb emplace_back
#define pof pop_front
#define pob pop_back
#define mkp make_pair
#define mkt make_tuple
#define popcnt __builtin_popcountll

using namespace std;
using i64 = int_fast64_t;
using pii = pair<int, int>;
using pll = pair<int_fast64_t, int_fast64_t>;
template <class T> using heap = priority_queue<T>;
template <class T> using minheap = priority_queue<T, vector<T>, greater<T>>;
template <class T> constexpr T inf = numeric_limits<T>::max() / (T)2 - (T)1234567;
constexpr int dx[9] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
constexpr int dy[9] = {0, 1, 0, -1, 1, 1, -1, -1, 0};

namespace execution {
    std::chrono::system_clock::time_point start_time, end_time;
    void print_elapsed_time() {
        end_time = std::chrono::system_clock::now();
        std::cerr << "\n----- Exec time : ";
        std::cerr << std::chrono::duration_cast<std::chrono::milliseconds>(end_time - start_time).count();
        std::cerr << " ms -----\n";
    }
    struct setupper {
        setupper() {
            if(iostream_untie) {
                ios::sync_with_stdio(false);
                std::cin.tie(nullptr);
                // std::cout.tie(nullptr);
                // std::cerr.tie(nullptr);
            }
            std::cout << std::fixed << std::setprecision(stdout_precision);
            std::cerr << std::fixed << std::setprecision(stderr_precision);
    #ifdef LOCAL
            if(!freopen(stderr_filepath, "wt", stderr)) {
                freopen("CON", "wt", stderr);
                std::cerr << "Failed to open the stderr file\n";
            }
            if(!freopen(stdout_filepath, "wt", stdout)) {
                freopen("CON", "wt", stdout);
                std::cerr << "Failed to open the stdout file\n";
            }
            if(!freopen(stdin_filepath, "rt", stdin)) {
                freopen("CON", "rt", stdin);
                std::cerr << "Failed to open the stdin file\n";
            }
            atexit(print_elapsed_time);
            start_time = std::chrono::system_clock::now();
    #endif
        }
    } __setupper;
}

struct myclock_t {
    std::chrono::system_clock::time_point built_pt, last_pt;
    int built_ln, last_ln;
    string built_func, last_func;
    std::ostream &os;
    bool is_built;

    myclock_t(std::ostream &_os = std::cerr) : os(_os), is_built(false) {}

    void build(int crt_ln, const string &crt_func) {
        is_built = true;
        last_pt = built_pt = std::chrono::system_clock::now();
        last_ln = built_ln = crt_ln, last_func = built_func = crt_func;
    }
    
    void set(int crt_ln, const string &crt_func) {
        if(is_built) {
            last_pt = std::chrono::system_clock::now();
            last_ln = crt_ln, last_func = crt_func;
        } else {
            cerr << "[ " << crt_ln << " : " << crt_func << " ] " << "myclock_t::set failed (yet to be built clock!)\n";
        }
    }

    void get(int crt_ln, const string &crt_func) {
        if(is_built) {
            std::chrono::system_clock::time_point crt_pt(chrono::system_clock::now());
            int64_t diff = std::chrono::duration_cast<std::chrono::milliseconds>(crt_pt - last_pt).count();
            os << diff << " ms elapsed from" << " [ " <<  last_ln << " : " << last_func << " ]";
            if(last_ln == built_ln) os << " (when built)";
            os << " to" << " [ " << crt_ln << " : " << crt_func << " ]" << "\n";
            last_pt = built_pt, last_ln = built_ln, last_func = built_func;
        } else {
            cerr << "[ " << crt_ln << " : " << crt_func << " ] " << "myclock_t::get failed (yet to be built clock!)\n";
        }
    }
};
#if defined(DEBUG) || defined(LOCAL)
    myclock_t myclock(std::cerr);
    #define build_clock() myclock.build(__LINE__, __func__)
    #define set_clock() myclock.set(__LINE__, __func__)
    #define get_clock() myclock.get(__LINE__, __func__)
#else
    #define build_clock()
    #define set_clock()
    #define get_clock()
#endif

namespace std {
    template <class RAitr> void rsort(RAitr __first, RAitr __last) {
        sort(__first, __last, greater<>());
    }
    template <class T> void hash_combine(size_t &seed, T const &key) {
        seed ^= hash<T>()(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
    }
    template <class T, class U> struct hash<pair<T,U>> {
        size_t operator()(pair<T,U> const &pr) const
        {
            size_t seed = 0;
            hash_combine(seed,pr.first);
            hash_combine(seed,pr.second);
            return seed;
        }
    };
    template <class tuple_t, size_t index = tuple_size<tuple_t>::value - 1>
    struct hashval_calc {
        static void apply(size_t& seed, tuple_t const& t) {
            hashval_calc<tuple_t, index - 1>::apply(seed, t);
            hash_combine(seed,get<index>(t));
        }
    };
    template <class tuple_t>
    struct hashval_calc<tuple_t, 0> {
        static void apply(size_t& seed, tuple_t const& t) {
            hash_combine(seed,get<0>(t));
        }
    };
    template <class ...T> struct hash<tuple<T...>> {
        size_t operator()(tuple<T...> const& t) const
        {
            size_t seed = 0;
            hashval_calc<tuple<T...>>::apply(seed,t);
            return seed;
        }
    };
}

template <class T, class U> istream &operator>> (istream &s, pair<T,U> &p) { return s >> p.first >> p.second; }
template <class T, class U> ostream &operator<< (ostream &s, const pair<T,U> p) { return s << p.first << " " << p.second; }
template <class T> istream &operator>> (istream &s, vector<T> &v) { for(T &e : v) { s >> e; }   return s; }
template <class T> ostream &operator<< (ostream &s, const vector<T> &v) {
    for(size_t i = 0; i < v.size(); ++i) { s << (i ? " " : "") << v[i]; }   return s;
}
template <class tuple_t, size_t index>
struct tupleos {
    static ostream &apply(ostream &s, const tuple_t &t) {
        tupleos<tuple_t,index - 1>::apply(s,t);
        return s << " " << get<index>(t);
    }
};
template <class tuple_t>
struct tupleos<tuple_t, 0> {
    static ostream &apply(ostream &s, const tuple_t &t) {
        return s << get<0>(t);
    }
};
template <class ...T> ostream &operator<< (ostream &s, const tuple<T...> &t) {
    return tupleos<tuple<T...>, tuple_size<tuple<T...>>::value - 1>::apply(s,t);
}
template <> ostream &operator<< (ostream &s, const tuple<> &t) { return s; }
#ifdef DEBUG
    #define dump(...) cerr << " [ " << __LINE__ << " : " << __FUNCTION__ << " ] " << #__VA_ARGS__ << " : ", dump_func(__VA_ARGS__)
#else
    #define dump(...)
#endif
template <class T> void dump_func(const T &x) { cerr << x << '\n'; }
template <class T,class ...Rest> void dump_func(const T &x, Rest ... rest) { cerr << x << ","; dump_func(rest...); }
template <class T> void write(const T &x) { cout << x << '\n'; }
template <class T, class ...Rest> void write(const T &x, Rest ... rest) { cout << x << ' '; write(rest...); }
void writeln() {}
template <class T, class ...Rest> void writeln(const T &x, Rest ... rest) { cout << x << '\n'; writeln(rest...); }
#define esc(...) writeln(__VA_ARGS__), exit(0)
template <class P> void read(P __first, P __second) { for(P i = __first; i != __second; ++i) cin >> *i; }

template <class T> bool chmin(T &x, const T &y) { return x > y ? x = y, true : false; }
template <class T> bool chmax(T &x, const T &y) { return x < y ? x = y, true : false; }
template <class T> constexpr T minf(const T &x, const T &y) { return min(x,y); }
template <class T> constexpr T maxf(const T &x, const T &y) { return max(x,y); }
constexpr bool odd(int_fast64_t n) { return n & 1; }
constexpr bool even(int_fast64_t n) { return (int)odd(n) ^ 1; }
constexpr bool bit(int_fast64_t n, int e) { return (n >> e) & 1; }
constexpr int_fast64_t mask(int_fast64_t n, int e) { return n & ((1 << e) - 1); }
constexpr int_fast64_t ilog(int_fast64_t x, int_fast64_t b = 2) { return x ? 1 + ilog(x / b, b) : -1; }
constexpr int_fast64_t gcd(int_fast64_t x, int_fast64_t y) {
    x = x > 0 ? x : -x, y = y > 0 ? y : -y;
    while(y) x ^= y ^= (x %= y) ^= y;
    return x;
}
constexpr int_fast64_t lcm(int_fast64_t x, int_fast64_t y) { return x ? x / gcd(x, y) * y : 0; }
int_fast64_t binry(int_fast64_t ok, int_fast64_t ng, const function<bool(int_fast64_t)> &fn) {
    while (abs(ok - ng) > 1) {
        int_fast64_t mid = (ok + ng) / 2;
        (fn(mid) ? ok : ng) = mid;
    }
    return ok;
}
template <class A, size_t N, class T> void init(A (&array)[N], const T &val) { fill((T*)array, (T*)(array + N), val); }
template <class A, size_t N> void init(A (&array)[N]) { memset(array, 0, sizeof(array)); }
template <class T> vector<int> cmprs(const vector<T> &v) {
    vector<T> tmp = v; vector<int> ret;
    sort(begin(tmp),end(tmp));
    tmp.erase(unique(begin(tmp),end(tmp)), end(tmp));
    for(const T &i : v) ret.emplace_back(lower_bound(begin(tmp),end(tmp),i) - begin(tmp));
    return ret;
}
template <class T> vector<int> cmprs(const T *__first, const T *__last) {
    return cmprs(vector<T>(__first, __last));
}
void for_subset(int_fast64_t s, const function<void(int_fast64_t)> &fn) {
    int_fast64_t t = s;
    do { fn(t); } while((--t &= s) != s);
}


/* The main code follows. */

template <int_fast32_t mod>
struct modint {
    int x;
    constexpr modint() : x(0) {}
    constexpr modint(int_fast64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    constexpr modint &operator+=(const modint &p) {
        if((x += p.x) >= mod) x -= mod;
        return *this;
    }

    constexpr modint &operator++() { return ++x, *this; }

    constexpr modint operator++(int) { modint t = *this; return ++x, t; }

    constexpr modint &operator-=(const modint &p) {
        if((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }

    constexpr modint &operator--() { return --x, *this; }

    constexpr modint operator--(int) { modint t = *this; return --x, t; }

    constexpr modint &operator*=(const modint &p) { return x = (int_fast64_t)x * p.x % mod, *this; }

    constexpr modint &operator/=(const modint &p) { return *this *= inverse(p); }

    // constexpr modint &operator%=(int m) { return x %= m, *this; }

    constexpr modint operator-() const { return modint(-x); }

    constexpr modint operator+(const modint &p) const { return modint(*this) += p; }

    constexpr modint operator-(const modint &p) const { return modint(*this) -= p; }

    constexpr modint operator*(const modint &p) const { return modint(*this) *= p; }

    constexpr modint operator/(const modint &p) const { return modint(*this) /= p; }

    // constexpr modint operator%(int m) const { return modint(*this) %= m; }

    constexpr bool operator==(const modint &p) const { return x == p.x; }

    constexpr bool operator!=(const modint &p) const { return x != p.x; }

    constexpr bool operator!() const { return !x; }

    // constexpr bool operator>(const modint &p) const { return x > p.x; }

    // constexpr bool operator<(const modint &p) const { return x <  p.x; }

    // constexpr bool operator>=(const modint &p) const { return x >= p.x; }

    // constexpr bool operator<=(const modint &p) const { return x <= p.x; }

    constexpr friend modint inverse(const modint &p) {
        int a = p.x, b = mod, u = 1, v = 0;
        while(b > 0) {
            int t = a / b;
            a -= t * b;
            a ^= b ^= a ^= b;
            u -= t * v;
            u ^= v ^= u ^= v;
        }
        return modint(u);
    }

    constexpr friend modint pow(modint p, int_fast64_t e) {
        if(e < 0) e = (e % (mod - 1) + mod - 1) % (mod - 1);
        modint ret = 1;
        while(e) {
            if(e & 1) ret *= p;
            p *= p;
            e >>= 1;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &s, const modint &p) { return s << p.x; }

    friend istream &operator>>(istream &s, modint &p) {
        int_fast64_t x;
        p = modint((s >> x, x));
        return s;
    }
};

signed main()
{
    void solve();
    void input();
    void init();

    int t = 1;

    #ifdef LOCAL
        t = 1;
        // cin >> t;
    #endif

    // cin >> t;

    while(t--)
    {
        init();
        input();
        solve();
    }
}

using mint=modint<1000000007>;
int n;
string s;

void init()
{}

void input()
{
    cin >> n >> s;
}

void solve()
{
    mint ans=1;
    int cnt=0;
    char prv='W';
    int bac=false;

    for(char c : s)
    {
        if(prv==c) {
            bac^=1;
        }
        prv=c;
        if(bac) {
            ans*=(cnt--);
        } else {
            cnt++;
        }
        dump(ans,cnt);
    }
    if(cnt) ans=0;

    for(int i=1; i<=n; i++)
    {
        ans*=i;
    }
    cout << ans << "\n";
}


Measured memory_bytes: 720