1 2 3 9

All 100 targets have a solution.

\(1 = \frac{ 12 - 3 }{ 9 }\)
\(2 = 31 - 29 \)
\(3 = 1^{29} \cdot 3 \)
\(4 = 23 - 19 \)
\(5 = 9 - \frac{ 12 }{ 3 }\)
\(6 = 12 + 3 - 9 \)
\(7 = \frac{ 12 + 9 }{ 3 }\)
\(8 = \sqrt{\frac{ 192 }{ 3 }}\)
\(9 = \sqrt{93 - 12 }\)
\(10 = 19 - 3^{2 }\)
\(11 = \frac{ 13 + 9 }{ 2 }\)
\(12 = \sqrt{12 - 3} + 9 \)
\(13 = 32 - 19 \)
\(14 = 19 - 2 - 3 \)
\(15 = \frac{ 9 }{ 3 } + 12 \)
\(16 = 29 - 13 \)
\(17 = 13 \cdot 2 - 9 \)
\(18 = 39 - 21 \)
\(19 = ( 3 - 2 ) \cdot 19 \)
\(20 = 13 - 2 + 9 \)
\(21 = 3 \cdot \sqrt{9} + 12 \)
\(22 = \frac{ 132 }{ \sqrt{9 }! }\)
\(23 = 1^{9} \cdot 23 \)
\(24 = \sqrt{192 \cdot 3 }\)
\(25 = 2 \cdot 3 + 19 \)
\(26 = 29 \cdot 1 - 3 \)
\(27 = 39 - 12 \)
\(28 = 3^{2} + 19 \)
\(29 = 1^{3} \cdot 29 \)
\(30 = 1^{3} + 29 \)
\(31 = 2 \cdot 9 + 13 \)
\(32 = \frac{ 192 }{ 3 ! }\)
\(33 = 21 + 3 + 9 \)
\(34 = 29 - 1 + 3 !\)
\(35 = 13 \cdot 2 + 9 \)
\(36 = \frac{ 12 }{ 3 } \cdot 9 \)
\(37 = 39 \cdot 1 - 2 \)
\(38 = 31 - 2 + 9 \)
\(39 = 3 \cdot 9 + 12 \)
\(40 = 32 - 1 + 9 \)
\(41 = \frac{ 123 }{ \sqrt{9 } }\)
\(42 = 13 + 29 \)
\(43 = \frac{ 129 }{ 3 }\)
\(44 = \frac{ 132 }{ \sqrt{9 } }\)
\(45 = 12 \cdot 3 + 9 \)
\(46 = \frac{ 92 }{ 3 - 1 }\)
\(47 = \frac{ 91 + 3 }{ 2 }\)
\(48 = 3 \cdot 9 + 21 \)
\(49 = 2 \cdot 9 + 31 \)
\(50 = 9^{2} - 31 \)
\(51 = 12 + 39 \)
\(52 = \frac{ 312 }{ \sqrt{9 }! }\)
\(53 = 31 \cdot 2 - 9 \)
\(54 = 21 \cdot 3 - 9 \)
\(55 = 19 \cdot 3 - 2 \)
\(56 = ( 31 - \sqrt{9} ) \cdot 2 \)
\(57 = \sqrt{19^{2}} \cdot 3 \)
\(58 = ( 3 - 1 ) \cdot 29 \)
\(59 = 91 - 32 \)
\(60 = 21 + 39 \)
\(61 = 92 - 31 \)
\(62 = ( 1 + 9 ) \cdot 3! + 2 \)
\(63 = ( 12 + 9 ) \cdot 3 \)
\(64 = \frac{ 192 }{ 3 }\)
\(65 = ( 2 + \sqrt{9} ) \cdot 13 \)
\(66 = 3! \cdot 9 + 12 \)
\(67 = ( 9 - 1 )^{2} + 3 \)
\(68 = 91 - 23 \)
\(69 = 23 \cdot 1 \cdot \sqrt{9 }\)
\(70 = 23 \cdot \sqrt{9} + 1 \)
\(71 = \frac{ 213 }{ \sqrt{9 } }\)
\(72 = 93 - 21 \)
\(73 = \frac{ 219 }{ 3 }\)
\(74 = ( 31 + \sqrt{9}! ) \cdot 2 \)
\(75 = 3! \cdot 9 + 21 \)
\(76 = ( 39 - 1 ) \cdot 2 \)
\(77 = \frac{ 231 }{ \sqrt{9 } }\)
\(78 = 39 \cdot 1 \cdot 2 \)
\(79 = 92 - 13 \)
\(80 = ( 31 + 9 ) \cdot 2 \)
\(81 = 93 - 12 \)
\(82 = 91 - 3^{2 }\)
\(83 = 91 - 2^{3 }\)
\(84 = ( 29 - 1 ) \cdot 3 \)
\(85 = 91 - 2 \cdot 3 \)
\(86 = 29 \cdot 3 - 1 \)
\(87 = 29 \cdot 1 \cdot 3 \)
\(88 = 29 \cdot 3 + 1 \)
\(89 = 92 \cdot 1 - 3 \)
\(90 = ( 21 + 9 ) \cdot 3 \)
\(91 = ( 9 - 2 ) \cdot 13 \)
\(92 = 91 - 2 + 3 \)
\(93 = 1^{3} + 92 \)
\(94 = 9^{2} + 13 \)
\(95 = ( 2 + 3 ) \cdot 19 \)
\(96 = 91 + 2 + 3 \)
\(97 = \frac{ 291 }{ 3 }\)
\(98 = 92 \cdot 1 + 3 !\)
\(99 = ( 13 - 2 ) \cdot 9 \)
\(100 = 3^{2} + 91 \)