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