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