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#include <bits/stdc++.h>
using namespace std;
using vi=vector<int>;
using ll=long long;
#define pb push_back
#define fst first
#define snd second
using vll=vector<ll>;
using Pii=pair<int,int>;
using Pll=pair<ll,ll>;
using vpii=vector<Pii>;
#ifndef LOCAL
#pragma GCC optimize("O3")
#endif
#define sim template <class c
#define mor > muu & operator<<(
#define ris return *this
#define R22(r) sim> typename enable_if<1 r sizeof(dud<c>(0)),muu&>::type operator<<(c g) {
sim> struct rge {c b, e;};
sim> rge<c> range(c i, c j) {return rge<c>{i, j};}
sim> auto dud(c*r)->decltype(cerr << *r);
sim> char dud(...);
struct muu {
	#ifdef LOCAL
	stringstream a;
	~muu() {cerr << a.str() << endl;}
	R22(<) a << boolalpha << g; ris;}
	R22(==) ris << range(begin(g), end(g));}
	sim mor rge<c> u) {
		a << "[";
		for (c i = u.b; i != u.e; ++i)
			*this << ", " + 2 * (i == u.b) << *i;
		ris << "]";
	}
	sim, class m mor pair<m,c> r) {ris << "(" << r.first << ", " << r.second << ")";}
	#else
	sim mor const c &){ris;}
	#endif
	muu & operator()(){ris;}
};
#define imie(r) "[" #r ": " << (r) << "] "
#define debug (muu() << __FUNCTION__ << "#" << __LINE__ << ": " )
typedef long long ll;
typedef pair<ll, ll> Pll;
int n;
const int maxn = 1.1e4;
const ll mod = 1e9 + 7;

ll rev(ll x)
{
	ll e = mod - 2;
	ll res = 1;
	while(e)
	{
		if(e & 1)
			res = res * x % mod;
		x = x * x % mod;
		e /= 2;
	}
	return res;
}

int to_mask(vi a)
{
	int res = 0;
	for(int v : a)
		res = 2 * res + v;
	return res;
}
ll fac[maxn];
ll fac_rev[maxn];
void init()
{
	fac[0] = 1;
	for(int i = 1; i <= n; ++i)
		fac[i] = i * fac[i-1] % mod;
	for(int i = 0; i <= n; ++i)
		fac_rev[i] = rev(fac[i]);
}
ll binom(ll n1, ll k1)
{
	return fac[n1] * fac_rev[k1] % mod * fac_rev[n1 - k1] % mod; 
}
ll przetnij_kule(vi a, int r1, vi b, int r2)
{
	for(int i = 0; i < n; ++i)
		b[i] ^= a[i];
	int zera, jedynki = 0;
	for(int i = 0; i < n; ++i)
		if(b[i] == 1)
			++jedynki;
	zera = n - jedynki;
	ll res = 0;
	vector<ll> bin_zer(zera + 1);
	vector<ll> bin_jed(jedynki + 1);
	for(int i = 0; i <= zera; ++i)
		bin_zer[i] = binom(zera, i);
	for(int j = 0; j <= jedynki; ++j)
		bin_jed[j] = binom(jedynki, j);
	for(int i = 0; i <= zera; ++i)
		for(int j = 0; j <= jedynki; ++j)
			if(i + jedynki - j <= r1 && i + j <= r2)
				res += bin_zer[i] * bin_jed[j] % mod;
	return res % mod;
}
int tab[maxn][maxn];
vector<ll> gen_binomy(int gora)
{
	vector<ll> res(gora + 1);
	for(int i = 0; i <= gora; ++i)
		res[i] = binom(gora, i);
	return res;
}
ll przetnij_kule_3(vi a, int ra, vi b, int rb, vi c, int rc)
{
	for(int i = 0; i < n; ++i)
	{
		b[i] ^= a[i];
		c[i] ^= a[i];
	}
	int zz = 0, zj = 0, jz = 0, jj = 0;
	for(int i = 0; i < n; ++i)
	{
		if(b[i] == 0 && c[i] == 0)
			++zz;
		if(b[i] == 1 && c[i] == 0)
			++jz;
		if(b[i] == 0 && c[i] == 1)
			++zj;
		if(b[i] == 1 && c[i] == 1)
			++jj;
	}
	vector<ll> bzz = gen_binomy(zz);
	vector<ll> bjj = gen_binomy(jj);
	vector<ll> bzj = gen_binomy(zj);
	vector<ll> bjz = gen_binomy(jz);
	for(int i = 0; i <= zz; ++i)
		for(int j = 0; j <= jj; ++j)
			tab[i + j][i + (jj - j)] = bzz[i] * bjj[j] % mod;
	for(int j = 1; j <= n; ++j)
		tab[0][j] = (tab[0][j] + tab[0][j-1]) % mod;
	for(int i = 1; i <= n; ++i)
	{
		tab[i][0] = (tab[i][0] + tab[i-1][0]) % mod;
		for(int j = 1; j <= n; ++j)
		{
			ll val = mod + tab[i][j-1] + tab[i-1][j] - tab[i-1][j-1];
			val %= mod;
			tab[i][j] = (tab[i][j] + val) % mod;
		}
	}
	
	ll res = 0;
	for(int jzn = 0; jzn <= jz; ++jzn)
		for(int zjn = 0; zjn <= zj; ++zjn)
		{
			int slack_a = ra - jzn - zjn;
			int slack_b = rb - (jz - jzn) - zjn;
			int slack_c = rc - (zj - zjn) - jzn;
			int slack_d = min(slack_b, slack_c);
			if(min(slack_a, slack_d) < 0) continue;
			ll subres = tab[slack_a][slack_d];
			res += subres * bjz[jzn] % mod * bzj[zjn] % mod;
		}
	return res % mod;
}

ll w_kuli(vi a, int r1)
{
	ll res = 0;
	for(int i = 0; i <= r1; ++i)
		res += binom(n, i);
	return res % mod;
}
typedef pair<vi, int> kula;
char buff[maxn];
kula wczytaj()
{
	int r;
	scanf("%d", &r);
	scanf("%s", buff);
	vi res;
	for(int i = 0; i < n; ++i)
		res.push_back(buff[i] - '0');
	debug() << res;
	return {res, r};
}
int main()
{
	scanf("%d", &n);
	init();
	kula A = wczytaj();
	kula B = wczytaj();
	kula C = wczytaj();
#define kula(X) w_kuli(X.first, X.second)
#define kula2(X, Y) przetnij_kule(X.first, X.second, Y.first, Y.second)
#define kula3(X, Y, Z) przetnij_kule_3(X.first, X.second, Y.first, Y.second, Z.first, Z.second)

	ll res = kula(A) + kula(B) + kula(C) - kula2(A,B) - kula2(B,C) - kula2(A, C) + kula3(A, B, C);
	res = res % mod;
	if(res < 0) res += mod;
	printf("%lld\n", res);
}