1158

\(1 = ( 1^{15} )^{8 }\) \(2 = 5! - 118 \) \(3 = 18 - 15 \) \(4 = 5 - 1^{18 }\)
\(5 = 1^{18} \cdot 5 \) \(6 = ( 18 - 15 )!\) \(7 = 8 - 1^{15 }\) \(8 = 11 + 5 - 8 \)
\(9 = 1^{15} + 8 \) \(10 = 1^{5} + \sqrt{81 }\) \(11 = ( 11 - 8 )! + 5 \) \(12 = 18 - 1 - 5 \)
\(13 = 18 \cdot 1 - 5 \) \(14 = 11 - 5 + 8 \) \(15 = ( 11 - 8 ) \cdot 5 \) \(16 = 1^{8} + 15 \)
\(17 = 18 - 1^{5 }\) \(18 = 1^{5} \cdot 18 \) \(19 = 1^{5} + 18 \) \(20 = \sqrt{5 - 1} + 18 \)
\(21 = 15 + \sqrt{\sqrt{81 }}!\) \(22 = 15 - 1 + 8 \) \(23 = 15 \cdot 1 + 8 \) \(24 = 15 + \sqrt{81 }\)
\(25 = 5^{1^{8} + 1 }\) \(26 = \frac{ 5! }{ 8 } + 11 \) \(27 = ( 5 - 1 )! + \sqrt{\sqrt{81 }}\) \(28 = ( 5 - 1 ) \cdot ( 8 - 1 )\)
\(29 = 5 \cdot 8 - 11 \) \(30 = 81 - 51 \) \(31 = ( 5 - 1 ) \cdot 8 - 1 \) \(32 = \sqrt{11 + 5} \cdot 8 \)
\(33 = 15 + 18 \) \(34 = ( 8 - 1 ) \cdot 5 - 1 \) \(35 = ( 8 - 1 \cdot 1 ) \cdot 5 \) \(36 = \sqrt{5 - 1} \cdot 18 \)
\(37 = \sqrt{\sqrt{( 1 + 5 )^{8}}} + 1 \) \(38 = 5! - ( 81 + 1 )\) \(39 = 5! - 81 \cdot 1 \) \(40 = \frac{ 5! }{ 11 - 8 }\)
\(41 = 1 \cdot 5 \cdot 8 + 1 \) \(42 = 51 - \sqrt{81 }\) \(43 = 51 \cdot 1 - 8 \) \(44 = 51 + 1 - 8 \)
\(45 = 15 \cdot \sqrt{\sqrt{81 }}\) \(46 = \sqrt{81} \cdot 5 + 1 \) \(47 = 58 - 11 \) \(48 = ( 11 - 5 ) \cdot 8 \)
\(49 = ( 1 + 5 ) \cdot 8 + 1 \) \(50 = 51 - 1^{8 }\) \(51 = 5 \cdot 8 + 11 \) \(52 = 1^{8} + 51 \)
\(53 = ?\) \(54 = 51 + \sqrt{\sqrt{81 }}\) \(55 = \sqrt{\sqrt{\sqrt{( 11 \cdot 5 )^{8 }}}}\) \(56 = 58 - 1 - 1 \)
\(57 = ( 58 - 1 ) \cdot 1 \) \(58 = 51 - 1 + 8 \) \(59 = 51 \cdot 1 + 8 \) \(60 = 51 + \sqrt{81 }\)
\(61 = 181 - 5 !\) \(62 = ?\) \(63 = 11 \cdot 5 + 8 \) \(64 = 8^{1^{5} + 1 }\)
\(65 = 8^{\sqrt{5 - 1}} + 1 \) \(66 = 81 - 15 \) \(67 = ?\) \(68 = \frac{ 5! }{ 1 + 1 } + 8 \)
\(69 = 11 + 58 \) \(70 = 81 - \sqrt{1 + 5 !}\) \(71 = \sqrt{( 15 - 8 )! + 1 }\) \(72 = ( 5 - 1 ) \cdot 18 \)
\(73 = ?\) \(74 = 85 - 11 \) \(75 = 81 - 1 - 5 \) \(76 = 81 \cdot 1 - 5 \)
\(77 = 81 + 1 - 5 \) \(78 = ?\) \(79 = 81 - \sqrt{5 - 1 }\) \(80 = 81 - 1^{5 }\)
\(81 = 1^{5} \cdot 81 \) \(82 = 1^{5} + 81 \) \(83 = 11 \cdot 8 - 5 \) \(84 = ( 85 - 1 ) \cdot 1 \)
\(85 = ( 18 - 1 ) \cdot 5 \) \(86 = 81 \cdot 1 + 5 \) \(87 = 81 + 1 + 5 \) \(88 = \sqrt{1 \cdot 1 + 5!} \cdot 8 \)
\(89 = 18 \cdot 5 - 1 \) \(90 = 18 \cdot 1 \cdot 5 \) \(91 = 18 \cdot 5 + 1 \) \(92 = \sqrt{1 + 5!} + 81 \)
\(93 = 11 \cdot 8 + 5 \) \(94 = ?\) \(95 = ( 11 + 8 ) \cdot 5 \) \(96 = 11 + 85 \)
\(97 = ?\) \(98 = ?\) \(99 = \sqrt{( 1 + 5! ) \cdot 81 }\) \(100 = \sqrt{\sqrt{( ( 1 + 1 ) \cdot 5 )^{8 }}}\)