99 of 100 targets have a solution.
\(1 = 18^{6 - 6 }\)
\(2 = 16 - 6 - 8 \)
\(3 = \frac{ 6 }{ \frac{ 16 }{ 8 } }\)
\(4 = 6 - \frac{ 16 }{ 8 }\)
\(5 = \sqrt{86 - 61 }\)
\(6 = 18 - 6 - 6 \)
\(7 = 68 - 61 \)
\(8 = \frac{ 16 }{ 8 } + 6 \)
\(9 = \frac{ 18 }{ 6 } + 6 \)
\(10 = 6 - \sqrt{16} + 8 \)
\(11 = \frac{ 66 }{ \sqrt{\sqrt{81 }}! }\)
\(12 = \frac{ 16 \cdot 6 }{ 8 }\)
\(13 = 61 - 6 \cdot 8 \)
\(14 = 16 + 6 - 8 \)
\(15 = 81 - 66 \)
\(16 = ( 6 - \sqrt{16} ) \cdot 8 \)
\(17 = \frac{ 68 }{ \sqrt{16 } }\)
\(18 = 16 - 6 + 8 \)
\(19 = \frac{ 6 }{ 6 } + 18 \)
\(20 = 1 \cdot 6 + 6 + 8 \)
\(21 = \sqrt{81} + 6 + 6 \)
\(22 = \frac{ 66 }{ \sqrt{\sqrt{81 }} }\)
\(23 = \sqrt{66 \cdot 8 + 1 }\)
\(24 = ( 6 - \frac{ 16 }{ 8 } )!\)
\(25 = 86 - 61 \)
\(26 = \sqrt{16} \cdot 8 - 6 \)
\(27 = \sqrt{( \frac{ 18 }{ 6 } )^{6 }}\)
\(28 = \frac{ 168 }{ 6 }\)
\(29 = \frac{ 6! }{ 8 } - 61 \)
\(30 = 16 + 6 + 8 \)
\(31 = \frac{ 186 }{ 6 }\)
\(32 = ( 8 - 6 ) \cdot 16 \)
\(33 = 6 \cdot 6 - \sqrt{\sqrt{81 }}\)
\(34 = \frac{ 68 }{ \sqrt{\sqrt{16 }} }\)
\(35 = 6^{8 - 6} - 1 \)
\(36 = 6^{\frac{ 16 }{ 8 }}\)
\(37 = \frac{ 6! }{ 16 } - 8 \)
\(38 = \sqrt{16} \cdot 8 + 6 \)
\(39 = 6! - 681 \)
\(40 = ( 6 - 1^{6} ) \cdot 8 \)
\(41 = 6 \cdot 8 - 1 - 6 \)
\(42 = ( 8 - 1^{6} ) \cdot 6 \)
\(43 = \frac{ 86 }{ \sqrt{\sqrt{16 }} }\)
\(44 = 68 - \sqrt{16 }!\)
\(45 = 81 - 6 \cdot 6 \)
\(46 = \frac{ 6! }{ 18 } + 6 \)
\(47 = 61 - 6 - 8 \)
\(48 = 66 - 18 \)
\(49 = 1^{6} + 6 \cdot 8 \)
\(50 = ( 1 + 6 ) \cdot 6 + 8 \)
\(51 = \frac{ 8! }{ 6! } + 1 - 6 \)
\(52 = 68 - 16 \)
\(53 = \frac{ 6! }{ 16 } + 8 \)
\(54 = 6 \cdot 6 + 18 \)
\(55 = 6 \cdot 8 + 1 + 6 \)
\(56 = ( 6 + 8 ) \cdot \sqrt{16 }\)
\(57 = 66 - \sqrt{81 }\)
\(58 = 66 \cdot 1 - 8 \)
\(59 = 61 + 6 - 8 \)
\(60 = \frac{ 6! }{ 18 - 6 }\)
\(61 = 68 - 1 - 6 \)
\(62 = 68 \cdot 1 - 6 \)
\(63 = 61 - 6 + 8 \)
\(64 = 68 - \sqrt{16 }\)
\(65 = 66 - 1^{8 }\)
\(66 = 1^{8} \cdot 66 \)
\(67 = 1^{8} + 66 \)
\(68 = 1^{6} \cdot 68 \)
\(69 = 1^{6} + 68 \)
\(70 = 86 - 16 \)
\(71 = \sqrt{( 8 - \frac{ 6 }{ 6 } )! + 1 }\)
\(72 = \sqrt{16} + 68 \)
\(73 = 66 - 1 + 8 \)
\(74 = 66 \cdot 1 + 8 \)
\(75 = 66 + \sqrt{81 }\)
\(76 = \sqrt{6! \cdot 8 + 16 }\)
\(77 = \frac{ 616 }{ 8 }\)
\(78 = ( 6 - 1 + 8 ) \cdot 6 \)
\(79 = 86 - 1 - 6 \)
\(80 = ( 16 - 6 ) \cdot 8 \)
\(81 = 81 - 6 + 6 \)
\(82 = 86 - \sqrt{16 }\)
\(83 = ( 6 + 8 ) \cdot 6 - 1 \)
\(84 = 16 + 68 \)
\(85 = 86 - 1^{6 }\)
\(86 = 1^{6} \cdot 86 \)
\(87 = 1^{6} + 86 \)
\(88 = 16 \cdot 6 - 8 \)
\(89 = \frac{ 6! }{ 8 } - 1^{6 }\)
\(90 = \sqrt{16} + 86 \)
\(91 = 86 - 1 + 6 \)
\(92 = 86 \cdot 1 + 6 \)
\(93 = 81 + 6 + 6 \)
\(94 = \frac{ 6! }{ 8 } + \sqrt{16 }\)
\(95 = ( 6 + 6 ) \cdot 8 - 1 \)
\(96 = 816 - 6 !\)
\(97 = ( 6 + 6 ) \cdot 8 + 1 \)
\(98 = ( 1 + 6 ) \cdot ( 6 + 8 )\)
\(99 = ?\)
\(100 = \sqrt{\sqrt{( 16 - 6 )^{8 }}}\)