1999

\(1 = 19 - 9 - 9 \) \(2 = \frac{ 1 \cdot 9 + 9 }{ 9 }\) \(3 = \frac{ 9 + 9 }{ 9 } + 1 \) \(4 = 19 - 9 - \sqrt{9 }!\)
\(5 = 9 - \sqrt{19 - \sqrt{9 }}\) \(6 = ( \frac{ 9 }{ 9 } + 1 ) \cdot \sqrt{9 }\) \(7 = 19 - 9 - \sqrt{9 }\) \(8 = 99 - 91 \)
\(9 = 1 \cdot 9 - 9 + 9 \) \(10 = 91 - 9 \cdot 9 \) \(11 = \frac{ 99 \cdot 1 }{ 9 }\) \(12 = \frac{ 99 }{ 9 } + 1 \)
\(13 = 19 - 9 + \sqrt{9 }\) \(14 = \sqrt{199 - \sqrt{9 }}\) \(15 = 9 - 1 \cdot \sqrt{9} + 9 \) \(16 = 19 - \frac{ 9 }{ \sqrt{9 } }\)
\(17 = 9 - 1^{9} + 9 \) \(18 = 19 - \frac{ 9 }{ 9 }\) \(19 = 19 - 9 + 9 \) \(20 = \frac{ 9 }{ 9 } + 19 \)
\(21 = 1 \cdot \sqrt{9} + 9 + 9 \) \(22 = \frac{ 9 }{ \sqrt{9} } + 19 \) \(23 = \sqrt{9}! - 1 + 9 + 9 \) \(24 = ( 9 - 1^{9} ) \cdot \sqrt{9 }\)
\(25 = 19 - \sqrt{9} + 9 \) \(26 = 9 - 1 + 9 + 9 \) \(27 = 1 \cdot 9 + 9 + 9 \) \(28 = \sqrt{9 \cdot 9} + 19 \)
\(29 = \sqrt{9} \cdot 9 - 1 + \sqrt{9 }\) \(30 = ( 19 - 9 ) \cdot \sqrt{9 }\) \(31 = 19 + \sqrt{9} + 9 \) \(32 = \frac{ 99 }{ \sqrt{9} } - 1 \)
\(33 = \frac{ 99 \cdot 1 }{ \sqrt{9 } }\) \(34 = \frac{ 99 }{ \sqrt{9} } + 1 \) \(35 = \sqrt{9}! \cdot 9 - 19 \) \(36 = \sqrt{19 - \sqrt{9}} \cdot 9 \)
\(37 = 19 + 9 + 9 \) \(38 = \frac{ 19 \cdot \sqrt{9}! }{ \sqrt{9 } }\) \(39 = ( 1 + 9 ) \cdot \sqrt{9} + 9 \) \(40 = \frac{ ( 9 - ( 1 + \sqrt{9} ) )! }{ \sqrt{9 } }\)
\(41 = \frac{ \sqrt{9}!! }{ 9 + 9 } + 1 \) \(42 = ( 1 + \sqrt{9} )! + 9 + 9 \) \(43 = \frac{ ( \sqrt{9}! - 1 )! + 9 }{ \sqrt{9 } }\) \(44 = \sqrt{9}! \cdot 9 - 1 - 9 \)
\(45 = ( 9 - ( 1 + \sqrt{9} ) ) \cdot 9 \) \(46 = \sqrt{9} \cdot 9 + 19 \) \(47 = \sqrt{9}! \cdot 9 - 1 - \sqrt{9 }!\) \(48 = 19 \cdot \sqrt{9} - 9 \)
\(49 = \frac{ ( \sqrt{9}! - 1 )! }{ \sqrt{9} } + 9 \) \(50 = \sqrt{9}! \cdot 9 - 1 - \sqrt{9 }\) \(51 = ( 9 - 1 + 9 ) \cdot \sqrt{9 }\) \(52 = \sqrt{9}! \cdot 9 + 1 - \sqrt{9 }\)
\(53 = ( 9 - \sqrt{9} ) \cdot 9 - 1 \) \(54 = 19 \cdot \sqrt{9} - \sqrt{9 }\) \(55 = ( 9 - \sqrt{9} ) \cdot 9 + 1 \) \(56 = \sqrt{9}! \cdot 9 - 1 + \sqrt{9 }\)
\(57 = \frac{ 19 \cdot 9 }{ \sqrt{9 } }\) \(58 = \sqrt{9}! \cdot 9 + 1 + \sqrt{9 }\) \(59 = \sqrt{9}! \cdot 9 - 1 + \sqrt{9 }!\) \(60 = ( 19 - 9 ) \cdot \sqrt{9 }!\)
\(61 = \frac{ \sqrt{9}!! }{ 9 } - 19 \) \(62 = 9 \cdot 9 - 19 \) \(63 = ( 9 - 1 ) \cdot 9 - 9 \) \(64 = 91 - \sqrt{9} \cdot 9 \)
\(65 = \frac{ ( 9 - 1 )! }{ \sqrt{9}!! } + 9 \) \(66 = 19 \cdot \sqrt{9} + 9 \) \(67 = \sqrt{\frac{ ( 9 - 1 )! }{ 9 } + 9 }\) \(68 = ?\)
\(69 = ( 9 - 1 ) \cdot 9 - \sqrt{9 }\) \(70 = \frac{ \sqrt{9}!! }{ 9 } - 1 - 9 \) \(71 = 9 \cdot 9 - 1 - 9 \) \(72 = ( 9 - 1^{9} ) \cdot 9 \)
\(73 = 91 - 9 - 9 \) \(74 = 9 \cdot 9 - 1 - \sqrt{9 }!\) \(75 = 99 - ( 1 + \sqrt{9 } )!\) \(76 = 91 - 9 - \sqrt{9 }!\)
\(77 = 9 \cdot 9 - 1 - \sqrt{9 }\) \(78 = 1 \cdot 9 \cdot 9 - \sqrt{9 }\) \(79 = 91 - 9 - \sqrt{9 }\) \(80 = 99 - 19 \)
\(81 = 9^{\frac{ 9 }{ 9 } + 1 }\) \(82 = 91 - \sqrt{9 \cdot 9 }\) \(83 = 9 \cdot 9 - 1 + \sqrt{9 }\) \(84 = ( 19 + 9 ) \cdot \sqrt{9 }\)
\(85 = 91 - 9 + \sqrt{9 }\) \(86 = 9 \cdot 9 - 1 + \sqrt{9 }!\) \(87 = ( 1 + 9 ) \cdot 9 - \sqrt{9 }\) \(88 = 91 - \frac{ 9 }{ \sqrt{9 } }\)
\(89 = 99 - 1 - 9 \) \(90 = ( 19 - 9 ) \cdot 9 \) \(91 = 91 - 9 + 9 \) \(92 = \frac{ 9 }{ 9 } + 91 \)
\(93 = 99 \cdot 1 - \sqrt{9 }!\) \(94 = \frac{ 9 }{ \sqrt{9} } + 91 \) \(95 = 99 - 1 - \sqrt{9 }\) \(96 = 99 \cdot 1 - \sqrt{9 }\)
\(97 = 91 - \sqrt{9} + 9 \) \(98 = 99 - 1^{9 }\) \(99 = 1^{9} \cdot 99 \) \(100 = 9 \cdot 9 + 19 \)