1 2 2 3

85 of 100 targets have a solution.

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