1399

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