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#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

#define ST first
#define ND second
#define PB push_back
#define SIZE(a) (int(a.size()))

const int mod = 1e9+7;
const int maxn = 10100;
ll fact[maxn], fact_inv[maxn];

ll po(ll a, ll k) {
    ll res=1;
    while(k) {
        if(k%2) {
            res = (res*a)%mod;
        }
        a = (a*a)%mod;
        k/=2;
    }
    return res;
}

ll inv(ll a) {
    return po(a, mod-2);
}

vector<ll> gen_newton_row(int n) {
    vector<ll> r(n+1);
    for(int i=0; i <= n; i++) {
        r[i] = (fact[n]*fact_inv[i])%mod;
        r[i] = (r[i]*fact_inv[n-i])%mod;
    }
    return r;
}

ll ne(int n, int k) {
    if(k < 0 || k > n) {
        return 0;
    }
    ll res = (fact[n]*fact_inv[k])%mod;
    res = (res*fact_inv[n-k])%mod;
    return res;
}

ll single(int r, string s) {
    auto ne = gen_newton_row(SIZE(s));
    ll res=0;
    for(int i=0; i <= r; i++) {
        res = (res+ne[i])%mod;
    }
    return res;
}

ll intersect2(int r0, string s0, int r1, string s1) {
    int d[] = {0, 0};
    for(int i=0; i < SIZE(s0); i++) {
        if(s0[i] == s1[i]) {
            d[0]++;
        } else {
            d[1]++;
        }
    }
    ll b=0;
    int p = d[1]-r1, q = r0;
    for(int x1=d[1]-r1; x1 <= r0; x1++) {
        b = (b+ne(d[1], x1))%mod;
    }
    ll a=0;
    for(int x0=0; x0 <= d[0]; x0++) {
        a = (a+b*ne(d[0], x0))%mod;
        b = (b-ne(d[1], p)-ne(d[1], q))%mod;
        p++;
        q--;
        if(p > q) {
            break;
        }
    }
    return a;
}

ll get_diagonal(int a, int p, int q, vector<vector<ll>> &v) {
    if(p > q) {
        return 0;
    }
    int d = (q-p)/2;
    int c = 0;
    if(a < 0) {
        c-=a;
        d+=a;
        a=0;
    }
    if(d < 0 || c >= SIZE(v) || a >= SIZE(v[0])) {
        return 0;
    }
    // cerr << "d: " << d << endl;
    // cerr << c << " " << a << " " << d << " " << SIZE(v) << " " << SIZE(v[0]) << "\n";
    return (v[c][a]-v[min(SIZE(v)-1, c+d+1)][min(SIZE(v[0])-1, a+d+1)]);
}

ll intersect3(int r0, string s0, int r1, string s1, int r2, string s2) {
    int d[] = {0, 0, 0, 0};
    for(int i=0; i < SIZE(s0); i++) {
        int c=0;
        if(s0[i] == '1') {
            c+=1;
        }
        if(s1[i] == '1') {
            c+=2;
        }
        if(s2[i] == '1') {
            c^=3;
        }
        d[c]++;
    }
    vector<vector<ll>> v(d[0]+2);
    v[d[0]+1] = vector<ll> (d[3]+2);
    for(int i=0; i <= d[0]; i++) {
        v[i] = vector<ll> (d[3]+2);
        ll n = ne(d[0], i);
        for(int j=0; j <= d[3]; j++) {
            v[i][j] = (n*ne(d[3], j))%mod;
        }
    }
    for(int i=d[0]; i >= 0; i--) {
        for(int j=d[3]; j >= 0; j--) {
            v[i][j] = (v[i][j]+v[i+1][j+1])%mod;
        }
    }

    r1-=d[2]+d[3];
    r0-=d[1]+d[3];

    ll a=0;
    for(int i=0; i <= d[1]; i++) {
        ll b=0, c=0;
        //gen c
        int p=max(i-r1, -i-r0), q=r2-i;
        for(int j=p; j <= q; j++) {
            // cerr << "j:" << j << "\n";
            c = (c+get_diagonal(j, j, q, v))%mod;
        }
        for(int j=0; j <= d[2]; j++) {
            // cerr << c << " " << p << " " << q << "\n";
            b=(b+ne(d[2], j)*c)%mod;
            //update c
            int np=max(i-j-1-r1, -i+j+1-r0), nq=r2-i-j-1;
            if(p < np) {
                c = (c-get_diagonal(p, p, q, v))%mod;
            } else if(p > np) {
                c = (c+get_diagonal(np, np, q, v))%mod;
            }
            c = (c-get_diagonal(d[3]-q, np, q, v))%mod;
            p = np, q = nq;
        }
        a=(a+ne(d[1], i)*b)%mod;
    }

    return a;
}

int main() {
    ios_base::sync_with_stdio(0);
    int n;
    cin >> n;
    fact[0] = 1;
    fact_inv[0] = 1;
    for(ll i=1; i <= n; i++) {
        fact[i] = (i*fact[i-1])%mod;
        fact_inv[i] = inv(fact[i]);
    }
    int r0, r1, r2;
    string s0, s1, s2;
    cin >> r0 >> s0;
    cin >> r1 >> s1;
    cin >> r2 >> s2;
    // cerr << single(r0, s0) << "\n";
    // cerr << single(r1, s1) << "\n";
    // cerr << single(r2, s2) << "\n";
    // cerr << intersect2(r0, s0, r1, s1) << "\n";
    // cerr << intersect2(r0, s0, r2, s2) << "\n";
    // cerr << intersect2(r1, s1, r2, s2) << "\n";
    // cerr << intersect3(r0, s0, r1, s1, r2, s2) << "\n";
    ll res = single(r0, s0)+single(r1, s1)+single(r2, s2)-intersect2(r0, s0, r1, s1)-intersect2(r0, s0, r2, s2)-intersect2(r1, s1, r2, s2)+intersect3(r0, s0, r1, s1, r2, s2);
    res = (res%mod+mod)%mod;
    cout << res << "\n";
}