# https://yukicoder.me/problems/no/3202

MOD = 10 ** 9 + 7

def prod(left, right):
    n = len(left)
    new_matrix =[[0] * n for _ in range(n)]
    for i in range(n):
        for j in range(n):
            for k in range(n):
                new_matrix[i][j] += (left[i][k] * right[k][j]) % MOD
                new_matrix[i][j] %= MOD
    return new_matrix

def prod_vec(mat, vec):
    n = len(vec)
    new_vec = [0] * n
    for i in range(n):
        for j in range(n):
            new_vec[i] += (mat[i][j] * vec[j]) % MOD
            new_vec[i] %= MOD
    return new_vec


def main():
    T = input()
    K = int(input())

    A0 = [
        [1, 1, 0, 2, 0, 1, 1],
        [0, 1, 0, 0, 0, 0, 0],
        [0, 0, 1, 1, 0, 1, 1],
        [0, 0, 0, 1, 0, 0, 0],
        [0, 0, 0, 0, 1, 1, 1],
        [0, 0, 0, 0, 0, 1, 0],
        [0, 0, 0, 0, 0, 0, 1],
    ]
    A1 = [
        [1, 0, 0, 0, 0, 0, 0],
        [1, 1, 2, 0, 1, 0, 1],
        [0, 0, 1, 0, 0, 0, 0],
        [0, 0, 1, 1, 1, 0, 1],
        [0, 0, 0, 0, 1, 0, 0],
        [0, 0, 0, 0, 1, 1, 1],
        [0, 0, 0, 0, 0, 0, 1],
    ]
    mat = [[0] * 7 for _ in range(7)]
    for i in range(7):
        mat[i][i] = 1
    for t in T:
        if t == "0":
            mat = prod(A0, mat)
        else:
            mat = prod(A1, mat)

    vec = [0, 0, 0, 0, 0, 0, 1]
    while K > 0:
        if K % 2 == 1:
            vec = prod_vec(mat, vec)

        mat = prod(mat, mat)
        K //= 2

    answer = (vec[0] + vec[1]) % MOD
    print(answer)







if __name__ == "__main__":
    main()