99 of 100 targets have a solution.
\(1 = \frac{ \frac{ 16 }{ 2 } }{ 8 }\)
\(2 = 8 - ( 12 - 6 )\)
\(3 = \frac{ 18 }{ 2 } - 6 \)
\(4 = \frac{ 8 }{ \frac{ 12 }{ 6 } }\)
\(5 = \frac{ 18 }{ 6 } + 2 \)
\(6 = 8 - \frac{ 12 }{ 6 }\)
\(7 = \frac{ 28 }{ \sqrt{16 } }\)
\(8 = 26 - 18 \)
\(9 = \frac{ 12 \cdot 6 }{ 8 }\)
\(10 = \frac{ 12 }{ 6 } + 8 \)
\(11 = \frac{ 6 }{ 1 \cdot 2 } + 8 \)
\(12 = 28 - 16 \)
\(13 = \sqrt{26 - 1} + 8 \)
\(14 = 12 - 6 + 8 \)
\(15 = \frac{ 18 }{ 2 } + 6 \)
\(16 = \frac{ 12 }{ 6 } \cdot 8 \)
\(17 = 26 - \sqrt{81 }\)
\(18 = 6^{2} - 18 \)
\(19 = 81 - 62 \)
\(20 = \frac{ 8 }{ 2 } + 16 \)
\(21 = 82 - 61 \)
\(22 = 16 - 2 + 8 \)
\(23 = 21 - 6 + 8 \)
\(24 = 28 - \sqrt{16 }\)
\(25 = 26 - 1^{8 }\)
\(26 = 12 + 6 + 8 \)
\(27 = \frac{ 216 }{ 8 }\)
\(28 = \frac{ 21 \cdot 8 }{ 6 }\)
\(29 = 1^{6} + 28 \)
\(30 = 18 \cdot 2 - 6 \)
\(31 = ( 6 - 2 ) \cdot 8 - 1 \)
\(32 = \sqrt{16} + 28 \)
\(33 = 61 - 28 \)
\(34 = 26 \cdot 1 + 8 \)
\(35 = 26 + \sqrt{81 }\)
\(36 = \sqrt{162 \cdot 8 }\)
\(37 = 61 - ( \frac{ 8 }{ 2 } )!\)
\(38 = \frac{ 6! }{ 18 } - 2 \)
\(39 = 6^{2} + \sqrt{\sqrt{81 }}\)
\(40 = 16 \cdot 2 + 8 \)
\(41 = \frac{ 82 }{ \sqrt{\sqrt{16 }} }\)
\(42 = 18 \cdot 2 + 6 \)
\(43 = \frac{ 86 \cdot 1 }{ 2 }\)
\(44 = 16 + 28 \)
\(45 = 61 - 2 \cdot 8 \)
\(46 = 2^{6} - 18 \)
\(47 = 68 - 21 \)
\(48 = ( 12 - 6 ) \cdot 8 \)
\(49 = ( 8 - 1^{6} )^{2 }\)
\(50 = 1 \cdot 6 \cdot 8 + 2 \)
\(51 = 61 - 2 - 8 \)
\(52 = \sqrt{16}! + 28 \)
\(53 = 62 - \sqrt{81 }\)
\(54 = \frac{ 18 }{ 2 } \cdot 6 \)
\(55 = 81 - 26 \)
\(56 = 68 - 12 \)
\(57 = 61 - \frac{ 8 }{ 2 }\)
\(58 = 82 - \sqrt{16 }!\)
\(59 = 62 - \sqrt{\sqrt{81 }}\)
\(60 = 6 \cdot 8 + 12 \)
\(61 = 62 - 1^{8 }\)
\(62 = 1^{8} \cdot 62 \)
\(63 = 1^{8} + 62 \)
\(64 = 8^{\frac{ 12 }{ 6 }}\)
\(65 = 86 - 21 \)
\(66 = 82 - 16 \)
\(67 = 61 - 2 + 8 \)
\(68 = ( 2 - 1 ) \cdot 68 \)
\(69 = 6 \cdot 8 + 21 \)
\(70 = 62 \cdot 1 + 8 \)
\(71 = 62 + \sqrt{81 }\)
\(72 = ( 6 - 2 ) \cdot 18 \)
\(73 = 81 - 2 - 6 \)
\(74 = 86 - 12 \)
\(75 = 82 - 1 - 6 \)
\(76 = 82 \cdot 1 - 6 \)
\(77 = 2 \cdot 8 + 61 \)
\(78 = 82 - \sqrt{16 }\)
\(79 = 81 - \sqrt{6 - 2 }\)
\(80 = 12 + 68 \)
\(81 = 82 - 1^{6 }\)
\(82 = 2^{6} + 18 \)
\(83 = 1^{6} + 82 \)
\(84 = \frac{ 168 }{ 2 }\)
\(85 = 81 - 2 + 6 \)
\(86 = \sqrt{16} + 82 \)
\(87 = 82 - 1 + 6 \)
\(88 = 82 \cdot 1 + 6 \)
\(89 = 21 + 68 \)
\(90 = 12 \cdot 8 - 6 \)
\(91 = \frac{ 6! }{ 8 } - 1 + 2 \)
\(92 = 812 - 6 !\)
\(93 = \frac{ 186 }{ 2 }\)
\(94 = ( 6 \cdot 8 - 1 ) \cdot 2 \)
\(95 = 2 \cdot 6 \cdot 8 - 1 \)
\(96 = ( 8 - 2 ) \cdot 16 \)
\(97 = 2 \cdot 6 \cdot 8 + 1 \)
\(98 = 12 + 86 \)
\(99 = ?\)
\(100 = ( \sqrt{\sqrt{16}} + 8 )^{2 }\)