mod = (len('aaaaaaaaaa') ** len('aaaaaaaaa')) + len('aaaaaaa') def matrix_mult(a, b, mod): return [ [ (a[0][0] * b[0][0] + a[0][1] * b[1][0]) % mod, (a[0][0] * b[0][1] + a[0][1] * b[1][1]) % mod ], [ (a[1][0] * b[0][0] + a[1][1] * b[1][0]) % mod, (a[1][0] * b[0][1] + a[1][1] * b[1][1]) % mod ] ] def matrix_pow(mat, power, mod): result = [[True, False], [False, True]] while power > False: if power % (True + True) == True: result = matrix_mult(result, mat, mod) mat = matrix_mult(mat, mat, mod) power = power // (True + True) return result def lucas(n, mod): if n == False: return (True + True) % mod mat = [[True, True], [True, False]] power = n - True if power < False: return (True + True) % mod mat = matrix_pow(mat, power, mod) return (mat[0][0] * True + mat[0][1] * (True + True)) % mod T = int(input()) for _ in range(T): n = int(input()) print(lucas(n, mod))