mod = 10**9+7 # matrix power def matintersection(matA, matB, mod=mod): length = len(matA) matR = [[0]*length for _ in range(length)] for i in range(length): for j in range(length): for k in range(length): matR[i][j] += matA[i][k]*matB[k][j] % mod matR[i][j] %= mod return matR def power_mat(matA, n, mod=mod): bi = str(format(n,"b"))#2進表現に length = len(matA) res = [[1 if i == j else 0 for i in range(length)] for j in range(length)] for i in range(len(bi)): res = matintersection(res, res, mod) if bi[i] == "1": res = matintersection(res, matA, mod) return res N = int(input()) inv6 = pow(6, mod-2, mod) vec = [1] for _ in range(5): c = 0 for v in vec: c += v vec.append(c*inv6%mod) if N <= 5: ans = vec[N] else: vec = vec[::-1] mat = [[inv6, inv6, inv6, inv6, inv6, inv6], [1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0] ] ret_mat = power_mat(mat, N-5, mod) tmp = 0 for i in range(6): tmp = (tmp + ret_mat[0][i]*vec[i]) % mod ans = tmp % mod print(ans)