1 3 4 9

All 100 targets have a solution.

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