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#include <bits/stdc++.h>

using namespace std;

const int N = 10010, M = 1e9 + 7;

int newton[N][N];
int atMost[N][N];
char seq1[N], seq2[N], seq3[N];
// int sumProgMax[N], sumProgMin[N];

int sumProg[N / 3][N];

int n, pot[N], c0, c1, c2, c3, s0, s1, s2, s3;

void add(int &w, int u) {
    w += u;
    if (w >= M) {
        w -= M;
    }
}

int mul(int w, int u) {
    return (long long)w * u % M;
}

// int Newton(int n, int k) {
//     if (k > n) return;
//     return
// }

int main() {
    
    scanf("%d", &n);
    
    pot[0] = 1;
    for (int i = 1; i <= n; i++) {
        pot[i] = mul(pot[i - 1], 2);
    }
    
    for (int i = 0; i <= n; i++) {
        newton[i][0] = newton[i][i] = 1;
    }
    
    atMost[0][0] = 1;
    for (int i = 1; i <= n; i++) {
        atMost[i][0] = newton[i][0];
        for (int j = 1; j < i; j++) {
            add(newton[i][j], newton[i - 1][j]);
            add(newton[i][j], newton[i - 1][j - 1]);
            add(atMost[i][j], atMost[i][j - 1]);
            add(atMost[i][j], newton[i][j]);
        }
        add(atMost[i][i], atMost[i][i - 1]);
        add(atMost[i][i], newton[i][i]);
    }
    
//     for (int i = 0; i <= n; i++) {
//         for (int j = 0; j <= i; j++) {
//             cerr << i << " " << j << " " << newton[i][j] << " " << atMost[i][j] << endl;
//         }
//     }
    
    scanf("%d %s %d %s %d %s", &s0, &seq1[1], &s1, &seq2[1], &s2, &seq3[1]);
    s0++, s1++, s2++;
    
    for (int i = 1; i <= n; i++) {
        int b1 = seq1[i] - '0';
        int b2 = seq2[i] - '0';
        int b3 = seq3[i] - '0';
        int sum = b1 + b2 + b3;
        if (sum == 0 || sum == 2) {
            b1 = 1 - b1;
            b2 = 1 - b2;
            b3 = 1 - b3;
            sum = 3 - sum;
        }
        if (sum == 3) {
            c3++;
        } else if (b1) {
            c0++;
        } else if (b2) {
            c1++;
        } else {
            c2++;
        }
    }
    
//     cerr << c0 << " " << c1 << " " << c2 << " " << c3 << endl;
//     cerr << s0 << " " << s1 << " " << s2 << endl;
    if (c0 < c2) {
        swap(c0, c2);
        swap(s0, s2);
    }
    if (c1 < c2) {
        swap(c1, c2);
        swap(s1, s2);
    }
    
//     cerr << c0 << " " << c1 << " " << c2 << " " << c3 << endl;
//     cerr << s0 << " " << s1 << " " << s2 << endl;
    
    int mx = max(max(s0, s1), s2);
    for (int prog = 0; prog <= c2; prog++) {
        for (int brak = prog; brak <= mx; brak++) {
            add(sumProg[prog][brak], mul(newton[c2][prog], atMost[c3][c3 - brak + prog]));
            if (prog > 0) {
                add(sumProg[prog][brak], sumProg[prog - 1][brak]);
            }
        }
    }
    
//     for (int progMin = 0; progMin <= c3; progMin++) {
//         for (int k = 0; k <= progMin; k++) {
//             if (c3 < progMin - k) continue;
//             add(sumProgMin[progMin], mul(newton[c2][k], atMost[c3][c3 - (progMin - k)]));
//         }
//     }
//     
//     for (int progMax = 0; progMax <= c3; progMax++) {
//         for (int k = progMax; k <= c2; k++) {
//             if (c3 < k - progMax) break;
//             add(sumProgMax[progMax], mul(newton[c2][k], atMost[c3][c3 - (k - progMax)]));
//         }
//     }
    
    int ans = 0;
    for (int i = 0; i <= c0; i++) {
        
        for (int j = 0; j <= c1; j++) {
            int m0 = i + (c1 - j);
            int m1 = j + (c0 - i);
            int m2 = c0 - i + c1 - j;
//             int mini = min(m0, m1);
            
            int low = 0;
            int high = c2;
            int res = -1;
            while (low <= high) {
                int mid = (low + high) / 2;
                int mm0 = m0 + c2 - mid;
                int mm1 = m1 + c2 - mid;
                int mm2 = m2 + mid;
                int maxiBrak = max(0, max(s0 - mm0, s1 - mm1));
                int brak2 = max(0, s2 - mm2);
                if (brak2 == 0 || brak2 <= maxiBrak) {
                    high = mid - 1;
                } else {
                    res = mid;
                    low = mid + 1;
                }
            }
            int miniProg = res;
            
            low = 0;
            high = c2;
            res = c2 + 1;
            while (low <= high) {
                int mid = (low + high) / 2;
                int mm0 = m0 + c2 - mid;
                int mm1 = m1 + c2 - mid;
                int mm2 = m2 + mid;
                int maxiBrak = max(0, max(s0 - mm0, s1 - mm1));
                int brak2 = max(0, s2 - mm2);
                if (maxiBrak == 0 || brak2 > maxiBrak) {
                    low = mid + 1;
                } else {
                    res = mid;
                    high = mid - 1;
                }
            }
//           
            int maxiProg = res;
            
            
            
            int toMul = 0;
            if (miniProg >= 0) {
                assert(s2 - m2 > miniProg);
                add(toMul, sumProg[miniProg][s2 - m2]/*sumProgMin[s2 - m2 - miniProg]*/);
//                 cerr << "sumProgMini " << miniProg << " " << s2 - m2 << " " << sumProg[miniProg][s2 - m2] << endl;
            }
            if (maxiProg <= c2 && c2 - maxiProg <= max(s0 - m0, s1 - m1)) {
                assert(max(s0 - m0, s1 - m1) >= c2 - maxiProg);
                add(toMul, sumProg[c2 - maxiProg][max(s0 - m0, s1 - m1)]/*sumProgMax[max(s0 - m0, s1 - m1) + c2 - maxiProg]*/);
//                 cerr << "sumProgMaxi " << c2 - maxiProg << " " << max(s0 - m0, s1 - m1) << " " << sumProg[c2 - maxiProg][max(s0 - m0, s1 - m1)] << endl;
            }
            if (miniProg <= maxiProg - 1) {
                int x = atMost[c2][maxiProg - 1] - atMost[c2][miniProg];
//                 cerr << atMost[c2][maxiProg - 1] << " " << atMost[c2][miniProg] << endl;
                if (x < 0) x += M;
//                 cerr << pot[c3] << endl;
//                 cerr << "x, pot[c3] " << x << " " << pot[c3] << endl;
                add(toMul, mul(x, pot[c3]));
            }
            add(ans, mul(newton[c0][i], mul(newton[c1][j], toMul)));
//             cerr << "ans " << ans << endl;
        }
    }
    
//     cerr << ans << endl;
    printf("%d\n", ((pot[n] - ans) + M) % M);
    
}