1599

\(1 = 15^{9 - 9 }\) \(2 = \sqrt{95 - 91 }\) \(3 = 9 - ( 15 - 9 )\) \(4 = 95 - 91 \)
\(5 = \frac{ 95 }{ 19 }\) \(6 = ( 9 - ( 15 - 9 ) )!\) \(7 = \sqrt{59 - 1 - 9 }\) \(8 = \frac{ 15 + 9 }{ \sqrt{9 } }\)
\(9 = 15 - 9 + \sqrt{9 }\) \(10 = \sqrt{1^{5} + 99 }\) \(11 = 19 - 5 - \sqrt{9 }\) \(12 = \sqrt{15 \cdot 9 + 9 }\)
\(13 = 9 - 1 \cdot 5 + 9 \) \(14 = 15 - \frac{ 9 }{ 9 }\) \(15 = 15 - 9 + 9 \) \(16 = \frac{ 9 }{ 9 } + 15 \)
\(17 = 19 - 5 + \sqrt{9 }\) \(18 = ( 15 - 9 ) \cdot \sqrt{9 }\) \(19 = 1^{5} + 9 + 9 \) \(20 = \frac{ 91 + 9 }{ 5 }\)
\(21 = 15 - \sqrt{9} + 9 \) \(22 = 5! - ( 99 - 1 )\) \(23 = 19 - 5 + 9 \) \(24 = ( 95 - 91 )!\)
\(25 = 5^{\frac{ 9 }{ 9 } + 1 }\) \(26 = 5 \cdot 9 - 19 \) \(27 = 15 + \sqrt{9} + 9 \) \(28 = \frac{ \sqrt{9}^{5} }{ 9 } + 1 \)
\(29 = ( 1 + \sqrt{9} ) \cdot 5 + 9 \) \(30 = 9 \cdot 9 - 51 \) \(31 = ( 9 - 1 ) \cdot 5 - 9 \) \(32 = 91 - 59 \)
\(33 = 15 + 9 + 9 \) \(34 = 5 \cdot \sqrt{9} + 19 \) \(35 = 5 \cdot 9 - 1 - 9 \) \(36 = 15 \cdot \sqrt{9} - 9 \)
\(37 = 5 \cdot 9 + 1 - 9 \) \(38 = ( 5 - \sqrt{9} ) \cdot 19 \) \(39 = 51 - 9 - \sqrt{9 }\) \(40 = 59 - 19 \)
\(41 = ( 1 + 9 ) \cdot 5 - 9 \) \(42 = \sqrt{9} \cdot 9 + 15 \) \(43 = ( 9 - 5 )! + 19 \) \(44 = 5 \cdot 9 - 1^{9 }\)
\(45 = \frac{ 15 }{ \sqrt{9} } \cdot 9 \) \(46 = 91 - 5 \cdot 9 \) \(47 = 5 \cdot 9 - 1 + \sqrt{9 }\) \(48 = 99 - 51 \)
\(49 = 59 - 1 - 9 \) \(50 = ( 19 - 9 ) \cdot 5 \) \(51 = 51 - 9 + 9 \) \(52 = \frac{ 9 }{ 9 } + 51 \)
\(53 = \frac{ 159 }{ \sqrt{9 } }\) \(54 = ( 15 - 9 ) \cdot 9 \) \(55 = 59 - 1 - \sqrt{9 }\) \(56 = 59 \cdot 1 - \sqrt{9 }\)
\(57 = 51 - \sqrt{9} + 9 \) \(58 = 59 - 1^{9 }\) \(59 = 1^{9} \cdot 59 \) \(60 = 1^{9} + 59 \)
\(61 = 59 - 1 + \sqrt{9 }\) \(62 = 19 \cdot \sqrt{9} + 5 \) \(63 = 51 + \sqrt{9} + 9 \) \(64 = 5 \cdot 9 + 19 \)
\(65 = \frac{ 195 }{ \sqrt{9 } }\) \(66 = 9 \cdot 9 - 15 \) \(67 = 59 - 1 + 9 \) \(68 = 59 \cdot 1 + 9 \)
\(69 = 51 + 9 + 9 \) \(70 = ( \sqrt{9}! - 1 + 9 ) \cdot 5 \) \(71 = 95 - ( 1 + \sqrt{9 } )!\) \(72 = ( 15 + 9 ) \cdot \sqrt{9 }\)
\(73 = ( 5 - 1 )^{\sqrt{9}} + 9 \) \(74 = ( \sqrt{9}! + 9 ) \cdot 5 - 1 \) \(75 = 99 - ( 5 - 1 )!\) \(76 = 95 - 19 \)
\(77 = 91 - 5 - 9 \) \(78 = 19 + 59 \) \(79 = 199 - 5 !\) \(80 = \frac{ ( 15 - 9 )! }{ 9 }\)
\(81 = 9^{\frac{ 1 + 9 }{ 5 }}\) \(82 = 1^{5} + 9 \cdot 9 \) \(83 = 91 - 5 - \sqrt{9 }\) \(84 = 99 - 15 \)
\(85 = 95 - 1 - 9 \) \(86 = 19 \cdot 5 - 9 \) \(87 = 91 + 5 - 9 \) \(88 = 95 - 1 - \sqrt{9 }!\)
\(89 = 91 - 5 + \sqrt{9 }\) \(90 = ( 9 - \sqrt{9} ) \cdot 15 \) \(91 = 95 - 1 - \sqrt{9 }\) \(92 = 19 \cdot 5 - \sqrt{9 }\)
\(93 = 99 - 1 - 5 \) \(94 = 95 - 1^{9 }\) \(95 = 91 - 5 + 9 \) \(96 = 9 \cdot 9 + 15 \)
\(97 = 95 - 1 + \sqrt{9 }\) \(98 = 99 - 1^{5 }\) \(99 = 1^{5} \cdot 99 \) \(100 = 1^{5} + 99 \)