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#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef const int cint;

const int mod = 1000000007;
const int N = 10005;
int n, i;
int V, res, out;
int a, b, c, d;
int A, B, C, D;
int R1, R2, R3;
int C1, C2, E1, E2;
int fac [N];
int rev [N];
char t1 [N];
char t2 [N];
char t3 [N];
int L1 [N][N];
int L2 [N][N];

inline int pw (int a, int b)
	{
	int res = 1;
	while (b != 0)
		{
		if (b%2 == 1)
			res = (1ll * res * a)%mod;
		a = (1ll * a * a)%mod;
		b /= 2;
		}
	return res;
	}

inline int newton (int n, int k) {
	return (1ll*((1ll*fac[n]*rev[k])%mod)*rev[n-k])%mod;
	}

inline void add (int& a, cint& b)
	{
	a += b;
	if (a < 0)
		a += mod;
	if (a >= mod)
		a -= mod;
	}

inline void update (int tab [N][N], cint& a, cint& b, cint& v)
	{
	if (a<0 || a>A) return;
	if (b<0 || b>B) return;
	add(tab[a][b], v);
	}

int intersection (char* t1, char* t2, int r1, int r2)
	{
	res = 0;
	A = B = 0;
	for (i=1; i<=n; i++)
		(t1[i] == t2[i] ? B : A)++;
	
	for (a=0; a<=A; a++)
		{
		D = min(B, min(r1 - a, r2 - A + a));
		for (b=0; b<=D; b++)
			add(res, (1ll * L2[A][a] * L2[B][b])%mod);
		}
	return res;
	}

int main ()
	{
	scanf ("%d%d%s%d%s%d%s", &n, &R1, t1+1, &R2, t2+1, &R3, t3+1);
	
	fac[0] = rev[0] = 1;
	for (i=1; i<=n; i++)
		{
		fac[i] = (1ll * fac[i-1] * i)%mod;
		rev[i] = pw(fac[i], mod-2);
		}
	
	for (i=1; i<=n; i++)
		{
		t1[i] -= '0';
		t2[i] -= '0';
		t3[i] -= '0';
		t1[i] ^= t3[i];
		t2[i] ^= t3[i];
		t3[i] ^= t3[i];
		if (t1[i]==0 && t2[i]==0) A++;
		if (t1[i]==1 && t2[i]==1) B++;
		if (t1[i]==0 && t2[i]==1) C++;
		if (t1[i]==1 && t2[i]==0) D++;
		}
	
	for (c=0; c<=C; c++)
		for (d=0; d<=D; d++)
			{
			C1 = A + B;
			C1 = min(C1, R3 - c - d);
			
			C2 = A;
			C2 = min(C2, R1 - B - D - c + d);
			C2 = min(C2, R2 - B - C + c - d);
			
			if (C1 < 0) continue;
			if (C2 < -B) continue;
			
			E1 = E2 = (C1 - C2)/2;
			if ((C1 - C2)%2 != 0)
				{
				if (C1 - C2 < 0) E1--;
				if (C1 - C2 > 0) E2++;
				}
			
			if (C1-E2 < 0)
				continue;
			
			V = (1ll * newton(C, c) * newton(D, d))%mod;
			
			if (E1 >= B)
				{
				update(L2, max(0, C2), max(0, -C2), V);
				continue;
				}
			
			if (E2 <= 0)
				{
				update(L1, max(0, C1 - B), min(B, C1), V);
				continue;
				}
			
			if (E1 == E2)
				E2++;
			
			update(L1, max(0, C1 - B), min(B, C1), V);
			update(L2, max(0, C2), max(0, -C2), V);
			
			update(L1, min(C1-E1, A), E1, -V);
			update(L2, min(C2+E2, A), E2, -V);
			}
	
	for (a=0; a<=A; a++)
		for (b=0; b<=B; b++)
			{
			update(L1, a+1, b-1, L1[a][b]);
			update(L2, a+1, b+1, L2[a][b]);
			}
	
	for (b=B; b>=0; b--)
		update(L1, A, b-1, L1[A][b]);
	
	for (b=0; b<=B; b++)
		update(L2, A, b+1, L2[A][b]);
	
	for (a=A; a>=0; a--)
		for (b=0; b<=B; b++)
			{
			update(L1, a-1, b, L1[a][b]);
			update(L2, a-1, b, L2[a][b]);
			}
	
	for (a=0; a<=A; a++)
		for (b=0; b<=B; b++)
			add(L1[a][b], L2[a][b]);
	
	for (a=0; a<=n; a++)
		for (b=0; b<=n; b++)
			{
			if (b>a)
				{
				L2[a][b] = 0;
				continue;
				}
			if (b==0 || b==a)
				{
				L2[a][b] = 1;
				continue;
				}
			L2[a][b] = L2[a-1][b-1] + L2[a-1][b];
			if (L2[a][b] >= mod)
				L2[a][b] -= mod;
			}
	
	for (a=0; a<=A; a++)
		for (b=0; b<=B; b++)
			{
			res = (1ll * L2[A][a] * L2[B][b])%mod;
			res = (1ll * res * L1[a][b])%mod;
			add(out, res);
			}
	
	for (i=0; i<=R1; i++) add(out, L2[n][i]);
	for (i=0; i<=R2; i++) add(out, L2[n][i]);
	for (i=0; i<=R3; i++) add(out, L2[n][i]);
	
	add(out, -intersection(t1, t2, R1, R2));
	add(out, -intersection(t1, t3, R1, R3));
	add(out, -intersection(t2, t3, R2, R3));
	
	printf ("%d\n", out);
	return 0;
	}