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#include "bits/stdc++.h"
using namespace std;
#define all(x) x.begin(),x.end()
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << p.first << " " << p.second; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#define ASSERT(...) 42
#endif
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int oo = 1e9;
ll V = 1LL<<24;
const long long MD = 1e9+7;
template<long long MOD=MD> struct mdint {
    int d;
    mdint () {d=0;}
    mdint (long long _d) : d(_d%MOD){
        if(d<0) d+=MOD;
    };
    friend mdint& operator+=(mdint& a, const mdint& o) {
        a.d+=o.d; if(a.d>=MOD) a.d-=MOD;
        return a;
    }
    friend mdint& operator-=(mdint& a, const mdint& o) {
        a.d-=o.d; if(a.d<0) a.d+=MOD;
        return a;
    }
    friend mdint& operator*=(mdint& a, const mdint& o) {
        return a = mdint((ll)a.d*o.d);
    }
    mdint operator*(const mdint& o) const {
        mdint res = *this;
        res*=o;
        return res;
    }
    mdint operator+(const mdint& o) const {
        mdint res = *this;
        res+=o;
        return res;
    }
    mdint operator-(const mdint& o) const {
        mdint res = *this;
        res-=o;
        return res;
    }
    mdint operator^(long long b) const {
        mdint tmp = 1;
        mdint power = *this;
        while(b) {
            if(b&1) {
                tmp = tmp*power;
            }
            power = power*power;
            b/=2;
        }
        return tmp;
    }
    friend mdint operator/=(mdint& a, const mdint& o) {
        a *= (o^(MOD-2));
        return a;
    }
    mdint operator/(const mdint& o) {
        mdint res = *this;
        res/=o;
        return res;
    }
    bool operator==(const mdint& o) { return d==o.d;}
    bool operator!=(const mdint& o) { return d!=o.d;}
    friend istream& operator>>(istream& c, mdint& a) {return c >> a.d;}
    friend ostream& operator<<(ostream& c, const mdint& a) {return c << a.d;}
};
using  mint = mdint<MD>;
int read() {
    string s; cin >> s;
    int res=0;
    for(int j=0;j<s.size();++j) {
        if(s[j]=='C') {
            res+=1<<j;
        }
    }
    return res;
}
int m;
ll calc(int x) {
    ll A = V;
    bool last=0;
    ll ans=0;
    bool done=0;
    for(int j=0;j<m;++j) {
        bool cur=0;
        if(x & (1<<j)) {
            
            cur=1;
        }
        if(j and cur!=last) {
            done=1;
        }
        if(done) {
            A/=2;
        }
        if(cur) ans+=A;
        else ans-=A;
        last=cur;


    }
    return ans;
}
typedef complex<double> C;
typedef vector<double> vd;
#define rep(i,a,b) for(int i=a;i<b;++i)
#define sz(x) int(x.size())
void fft(vector<C>& a) {
	int n = sz(a), L = 31 - __builtin_clz(n);
	static vector<complex<long double>> R(2, 1);
	static vector<C> rt(2, 1);  // (^ 10% faster if double)
	for (static int k = 2; k < n; k *= 2) {
		R.resize(n); rt.resize(n);
		auto x = polar(1.0L, acos(-1.0L) / k);
		rep(i,k,2*k) rt[i] = R[i] = i&1 ? R[i/2] * x : R[i/2];
	}
	vi rev(n);
	rep(i,0,n) rev[i] = (rev[i / 2] | (i & 1) << L) / 2;
	rep(i,0,n) if (i < rev[i]) swap(a[i], a[rev[i]]);
	for (int k = 1; k < n; k *= 2)
		for (int i = 0; i < n; i += 2 * k) rep(j,0,k) {
			// C z = rt[j+k] * a[i+j+k]; // (25% faster if hand-rolled)  /// include-line
			auto x = (double *)&rt[j+k], y = (double *)&a[i+j+k];        /// exclude-line
			C z(x[0]*y[0] - x[1]*y[1], x[0]*y[1] + x[1]*y[0]);           /// exclude-line
			a[i + j + k] = a[i + j] - z;
			a[i + j] += z;
		}
}
vd conv(const vd& a, const vd& b) {
	if (a.empty() || b.empty()) return {};
	vd res(sz(a) + sz(b) - 1);
	int L = 32 - __builtin_clz(sz(res)), n = 1 << L;
	vector<C> in(n), out(n);
	copy(all(a), begin(in));
	rep(i,0,sz(b)) in[i].imag(b[i]);
	fft(in);
	for (C& x : in) x *= x;
	rep(i,0,n) out[i] = in[-i & (n - 1)] - conj(in[i]);
	fft(out);
	rep(i,0,sz(res)) res[i] = imag(out[i]) / (4 * n);
	return res;
}
typedef vector<ll> vl;
template<int M> vl convMod(const vl &a, const vl &b) {
	if (a.empty() || b.empty()) return {};
	vl res(sz(a) + sz(b) - 1);
	int B=32-__builtin_clz(sz(res)), n=1<<B, cut=int(sqrt(M));
	vector<C> L(n), R(n), outs(n), outl(n);
	rep(i,0,sz(a)) L[i] = C((int)a[i] / cut, (int)a[i] % cut);
	rep(i,0,sz(b)) R[i] = C((int)b[i] / cut, (int)b[i] % cut);
	fft(L), fft(R);
	rep(i,0,n) {
		int j = -i & (n - 1);
		outl[j] = (L[i] + conj(L[j])) * R[i] / (2.0 * n);
		outs[j] = (L[i] - conj(L[j])) * R[i] / (2.0 * n) / 1i;
	}
	fft(outl), fft(outs);
	rep(i,0,sz(res)) {
		ll av = ll(real(outl[i])+.5), cv = ll(imag(outs[i])+.5);
		ll bv = ll(imag(outl[i])+.5) + ll(real(outs[i])+.5);
		res[i] = ((av % M * cut + bv) % M * cut + cv) % M;
	}
	return res;
}
auto myconv(vector<pi> a, vector<pi> b) {
    int mn = min_element(all(a))->first, mn2 = min_element(all(b))->first;
    vl aa,bb;
    for(auto [v,x] : a) {
        while(aa.size()<=v-mn) {
            aa.push_back(0);
        }
        aa[v-mn]+=x;
        aa[v-mn]%=MD;
    }
    for(auto [v,x] : b) {
        while(bb.size()<=v-mn2) {
            bb.push_back(0);
        }
        bb[v-mn2]+=x;
        bb[v-mn2]%=MD;
    }
    auto res= convMod<MD>(aa,bb);
    vector<pi> ans;
    for(int i=0;i<res.size();++i) {
        if(res[i]) {
            ans.push_back({mn+mn2+i,res[i]});
        }
    }
    return ans;
}
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n,k;
    cin >> n >> m  >> k;
    V=1<<(m-1);
    unordered_map<ll,mint> dp;
    ll pref=0;
    for(int i=0;i<k;++i) {
        int j = read();
        pref+=calc(j);
    }
    dp[pref]=1;
    vector<pi> vs;
    for(int j=0;j<1<<m;++j) {
        vs.push_back({calc(j),1});
    }
    /*
    FFT?
    2^12?
    2^12 --> 123121211213
    */
    vector<pi> cur = {{pref,1}};
    for(int j=k;j<=n;++j) {
        bool found=0;
        for(auto [k,v] : cur) {
            if(k==0) {
                cout << v << ' ';
                found=1;
            }
        }
        if(!found) cout << "0 ";
        // cout << dp[0] << ' ';
        // unordered_map<ll,mint> ndp;
        // for(auto [x,vv] : vs) {
        //     for(auto [k,v] : dp) {
        //         ndp[x+k]+=v;
        //     }
        // }
        // swap(dp,ndp);
        cur =  myconv(cur,vs);
    }


}