## https://yukicoder.me/problems/no/286 MOD = 10 ** 9 + 7 def prod_vec(matrix, vector): new_vector = [0 for _ in range(6)] for i in range(6): for j in range(6): new_vector[i] += (matrix[i][j] * vector[j])% MOD new_vector[i] %= MOD return new_vector def prod(left, right): new_matrix = [[0] * 6 for _ in range(6)] for i in range(6): for j in range(6): for k in range(6): new_matrix[i][j] += (left[i][k] * right[k][j]) % MOD new_matrix[i][j] %= MOD return new_matrix def main(): N = int(input()) p = pow(6, MOD - 2, MOD) matrix = [ [p, 1, 0, 0, 0, 0], [p, 0, 1, 0, 0, 0], [p, 0, 0, 1, 0, 0], [p, 0, 0, 0, 1, 0], [p, 0, 0, 0, 0, 1], [p, 0, 0, 0, 0, 0] ] vector = [1, 0, 0, 0, 0, 0] while N > 0: if N % 2 == 1: vector = prod_vec(matrix, vector) matrix = prod(matrix, matrix) N //= 2 print(vector[0]) if __name__ == '__main__': main()