All 100 targets have a solution.
\(1 = 12 - 3 - 8 \)
\(2 = \frac{ 8 }{ \frac{ 12 }{ 3 } }\)
\(3 = 31 - 28 \)
\(4 = 8 - \frac{ 12 }{ 3 }\)
\(5 = 23 - 18 \)
\(6 = ( 31 - 28 )!\)
\(7 = \sqrt{81 - 32 }\)
\(8 = \frac{ 18 }{ 3 } + 2 \)
\(9 = 13 - \frac{ 8 }{ 2 }\)
\(10 = ( 13 - 8 ) \cdot 2 \)
\(11 = \sqrt{12 - 3} + 8 \)
\(12 = \frac{ 12 }{ 3 } + 8 \)
\(13 = 18 - 2 - 3 \)
\(14 = 32 - 18 \)
\(15 = 28 - 13 \)
\(16 = 21 + 3 - 8 \)
\(17 = 38 - 21 \)
\(18 = 13 \cdot 2 - 8 \)
\(19 = 13 - 2 + 8 \)
\(20 = \frac{ 38 }{ 2 } + 1 \)
\(21 = 31 - 2 - 8 \)
\(22 = 23 - 1^{8 }\)
\(23 = 32 - \sqrt{81 }\)
\(24 = \sqrt{18 \cdot 32 }\)
\(25 = ( 13 - 8 )^{2 }\)
\(26 = 38 - 12 \)
\(27 = \frac{ 18 }{ 2 } \cdot 3 \)
\(28 = 12 \cdot 3 - 8 \)
\(29 = 2 \cdot 8 + 13 \)
\(30 = ( 18 - 3 ) \cdot 2 \)
\(31 = 23 \cdot 1 + 8 \)
\(32 = 23 + \sqrt{81 }\)
\(33 = 18 \cdot 2 - 3 \)
\(34 = 13 \cdot 2 + 8 \)
\(35 = \frac{ 8 }{ 2 } + 31 \)
\(36 = 3 \cdot 8 + 12 \)
\(37 = 31 - 2 + 8 \)
\(38 = ( 2 - 1 ) \cdot 38 \)
\(39 = \frac{ 312 }{ 8 }\)
\(40 = 32 \cdot 1 + 8 \)
\(41 = 13 + 28 \)
\(42 = ( 13 + 8 ) \cdot 2 \)
\(43 = 3!^{2} - 1 + 8 \)
\(44 = 12 \cdot 3 + 8 \)
\(45 = 3 \cdot 8 + 21 \)
\(46 = ( 31 - 8 ) \cdot 2 \)
\(47 = 2 \cdot 8 + 31 \)
\(48 = ( 18 - 2 ) \cdot 3 \)
\(49 = 81 - 32 \)
\(50 = 12 + 38 \)
\(51 = 82 - 31 \)
\(52 = \frac{ 13 \cdot 8 }{ 2 }\)
\(53 = \frac{ 8! }{ ( 1 + 2 )!! } - 3 \)
\(54 = 31 \cdot 2 - 8 \)
\(55 = 21 \cdot 3 - 8 \)
\(56 = 18 \cdot 3 + 2 \)
\(57 = 81 - ( 3! - 2 )!\)
\(58 = 81 - 23 \)
\(59 = 21 + 38 \)
\(60 = ( 12 + 8 ) \cdot 3 \)
\(61 = 8^{1 \cdot 2} - 3 \)
\(62 = 83 - 21 \)
\(63 = 2^{3} \cdot 8 - 1 \)
\(64 = ( 12 - 8 )^{3 }\)
\(65 = 2^{3} \cdot 8 + 1 \)
\(66 = 8^{2} - 1 + 3 \)
\(67 = 8^{1 \cdot 2} + 3 \)
\(68 = 8^{2} + 1 + 3 \)
\(69 = \frac{ 138 }{ 2 }\)
\(70 = 31 \cdot 2 + 8 \)
\(71 = 83 - 12 \)
\(72 = ( 12 - 3 ) \cdot 8 \)
\(73 = 81 - 2^{3 }\)
\(74 = ( 38 - 1 ) \cdot 2 \)
\(75 = 38 \cdot 2 - 1 \)
\(76 = 38 \cdot 1 \cdot 2 \)
\(77 = 8^{2} + 13 \)
\(78 = ( 8 - 2 ) \cdot 13 \)
\(79 = 82 \cdot 1 - 3 \)
\(80 = 81 + 2 - 3 \)
\(81 = 3^{12 - 8 }\)
\(82 = 81 - 2 + 3 \)
\(83 = 28 \cdot 3 - 1 \)
\(84 = 28 \cdot 1 \cdot 3 \)
\(85 = 28 \cdot 3 + 1 \)
\(86 = 81 + 2 + 3 \)
\(87 = ( 21 + 8 ) \cdot 3 \)
\(88 = ( 13 - 2 ) \cdot 8 \)
\(89 = 2^{3} + 81 \)
\(90 = ( 2 + 3 ) \cdot 18 \)
\(91 = \frac{ ( 2 \cdot 3 )! }{ 8 } + 1 \)
\(92 = 812 - 3 !!\)
\(93 = 12 \cdot 8 - 3 \)
\(94 = ( 3! \cdot 8 - 1 ) \cdot 2 \)
\(95 = 12 + 83 \)
\(96 = 32 \cdot \sqrt{\sqrt{81 }}\)
\(97 = 2 \cdot 3! \cdot 8 + 1 \)
\(98 = ( 3! \cdot 8 + 1 ) \cdot 2 \)
\(99 = 12 \cdot 8 + 3 \)
\(100 = ( 3 - 1 + 8 )^{2 }\)