All 100 targets have a solution.
\(1 = 1^{\sqrt{324 }}\)
\(2 = 3 - 1^{24 }\)
\(3 = \sqrt{23 - 14 }\)
\(4 = \frac{ 14 }{ 2 } - 3 \)
\(5 = 12 - 3 - 4 \)
\(6 = \frac{ 12 }{ 4 } + 3 \)
\(7 = 31 - 24 \)
\(8 = \sqrt{21 + 43 }\)
\(9 = 23 - 14 \)
\(10 = \frac{ 14 }{ 2 } + 3 \)
\(11 = 24 - 13 \)
\(12 = ( 4 - 3 ) \cdot 12 \)
\(13 = 34 - 21 \)
\(14 = ( 3 - 2 ) \cdot 14 \)
\(15 = 13 - 2 + 4 \)
\(16 = \frac{ 12 }{ 3 } \cdot 4 \)
\(17 = \sqrt{324} - 1 \)
\(18 = 32 - 14 \)
\(19 = \sqrt{324} + 1 \)
\(20 = 2 \cdot 3 + 14 \)
\(21 = 2 \cdot 4 + 13 \)
\(22 = 34 - 12 \)
\(23 = 3^{2} + 14 \)
\(24 = ( 12 - 4 ) \cdot 3 \)
\(25 = 14 \cdot 2 - 3 \)
\(26 = \frac{ 13 \cdot 4 }{ 2 }\)
\(27 = ( \frac{ 12 }{ 4 } )^{3 }\)
\(28 = \frac{ 21 }{ 3 } \cdot 4 \)
\(29 = 42 - 13 \)
\(30 = 13 \cdot 2 + 4 \)
\(31 = 43 - 12 \)
\(32 = 12 \cdot 3 - 4 \)
\(33 = \frac{ 132 }{ 4 }\)
\(34 = ( 13 + 4 ) \cdot 2 \)
\(35 = 32 - 1 + 4 \)
\(36 = ( 12 - 3 ) \cdot 4 \)
\(37 = 13 + 24 \)
\(38 = 42 - 1 - 3 \)
\(39 = 2 \cdot 4 + 31 \)
\(40 = 12 \cdot 3 + 4 \)
\(41 = ( 3 - 2 ) \cdot 41 \)
\(42 = 41 - 2 + 3 \)
\(43 = 4^{3} - 21 \)
\(44 = ( 13 - 2 ) \cdot 4 \)
\(45 = 12 \cdot 4 - 3 \)
\(46 = 12 + 34 \)
\(47 = 2^{4} + 31 \)
\(48 = ( 12 + 4 ) \cdot 3 \)
\(49 = 2^{3} + 41 \)
\(50 = 13 \cdot 4 - 2 \)
\(51 = 12 \cdot 4 + 3 \)
\(52 = 4^{3} - 12 \)
\(53 = 31 - 2 + 4 !\)
\(54 = 13 \cdot 4 + 2 \)
\(55 = 12 + 43 \)
\(56 = ( 3! - 2 ) \cdot 14 \)
\(57 = ( 21 - \sqrt{4} ) \cdot 3 \)
\(58 = 31 \cdot 2 - 4 \)
\(59 = 21 \cdot 3 - 4 \)
\(60 = ( 12 + 3 ) \cdot 4 \)
\(61 = 2 \cdot 4! + 13 \)
\(62 = \frac{ 31 \cdot 4 }{ 2 }\)
\(63 = 32 \cdot \sqrt{4} - 1 \)
\(64 = 21 + 43 \)
\(65 = 21 \cdot 3 + \sqrt{4 }\)
\(66 = \frac{ 132 }{ \sqrt{4 } }\)
\(67 = \frac{ 134 }{ 2 }\)
\(68 = 34 \cdot 1 \cdot 2 \)
\(69 = 3^{4} - 12 \)
\(70 = ( 2 + 3 ) \cdot 14 \)
\(71 = 24 \cdot 3 - 1 \)
\(72 = ( 21 - 3 ) \cdot 4 \)
\(73 = 31 + 42 \)
\(74 = ( 13 + 4! ) \cdot 2 \)
\(75 = ( 21 + 4 ) \cdot 3 \)
\(76 = 4^{3} + 12 \)
\(77 = 3!^{2} + 41 \)
\(78 = \frac{ 312 }{ 4 }\)
\(79 = 41 \cdot 2 - 3 \)
\(80 = 3^{4} + 1 - 2 \)
\(81 = ( 13 - 4 )^{2 }\)
\(82 = 14 \cdot 3! - 2 \)
\(83 = ( 1 \cdot 3 )^{4} + 2 \)
\(84 = ( 3 + 4 ) \cdot 12 \)
\(85 = 4^{3} + 21 \)
\(86 = 43 \cdot 1 \cdot 2 \)
\(87 = 21 \cdot 4 + 3 \)
\(88 = ( 23 - 1 ) \cdot 4 \)
\(89 = 2^{3!} + 1 + 4 !\)
\(90 = 21 \cdot 4 + 3 !\)
\(91 = 23 \cdot 4 - 1 \)
\(92 = 23 \cdot 1 \cdot 4 \)
\(93 = 3^{4} + 12 \)
\(94 = ( 41 + 3! ) \cdot 2 \)
\(95 = 2^{4} \cdot 3! - 1 \)
\(96 = ( 21 + 3 ) \cdot 4 \)
\(97 = ( 1 + 4 )! - 23 \)
\(98 = ( 1 + 3 ) \cdot 4! + 2 \)
\(99 = 123 - 4 !\)
\(100 = ( 3^{2} + 1 )^{\sqrt{4 }}\)