1378

\(1 = ( 8 - 7 )^{13 }\) \(2 = 8 - ( 13 - 7 )\) \(3 = \frac{ 13 + 8 }{ 7 }\) \(4 = 7 - \frac{ 18 }{ 3 ! }\)
\(5 = 18 - 3! - 7 \) \(6 = \frac{ 78 }{ 13 }\) \(7 = 3 \cdot 8 - 17 \) \(8 = 81 - 73 \)
\(9 = \frac{ 73 - 1 }{ 8 }\) \(10 = \sqrt{13 + 87 }\) \(11 = 7 - ( 1 + 3 ) + 8 \) \(12 = 83 - 71 \)
\(13 = ( 8 - 7 ) \cdot 13 \) \(14 = 13 - 7 + 8 \) \(15 = 17 + 3! - 8 \) \(16 = 31 - 7 - 8 \)
\(17 = 18 + 3! - 7 \) \(18 = ( 7 - 3! ) \cdot 18 \) \(19 = 37 - 18 \) \(20 = \frac{ 81 }{ 3 } - 7 \)
\(21 = 38 - 17 \) \(22 = 17 - 3 + 8 \) \(23 = \sqrt{8^{3} + 17 }\) \(24 = 3! \cdot 7 - 18 \)
\(25 = 7 \cdot 8 - 31 \) \(26 = \frac{ 78 \cdot 1 }{ 3 }\) \(27 = ( 17 - 8 ) \cdot 3 \) \(28 = \sqrt{781 + 3 }\)
\(29 = 37 \cdot 1 - 8 \) \(30 = 31 + 7 - 8 \) \(31 = ( 8 - 7 ) \cdot 31 \) \(32 = 31 - 7 + 8 \)
\(33 = 71 - 38 \) \(34 = \frac{ 81 }{ 3 } + 7 \) \(35 = ( 13 - 8 ) \cdot 7 \) \(36 = 37 - 1^{8 }\)
\(37 = 1^{8} \cdot 37 \) \(38 = 1^{8} + 37 \) \(39 = 3 \cdot 7 + 18 \) \(40 = 37 + \sqrt{\sqrt{81 }}\)
\(41 = 3 \cdot 8 + 17 \) \(42 = \frac{ 18 }{ 3 } \cdot 7 \) \(43 = 7 \cdot 8 - 13 \) \(44 = 81 - 37 \)
\(45 = 37 \cdot 1 + 8 \) \(46 = 37 + \sqrt{81 }\) \(47 = 78 - 31 \) \(48 = ( 13 - 7 ) \cdot 8 \)
\(49 = ( 8 - 3 )! - 71 \) \(50 = ( 1 \cdot 3 )! \cdot 7 + 8 \) \(51 = ( 7 - 1 ) \cdot 8 + 3 \) \(52 = ( 8 - 1 ) \cdot 7 + 3 \)
\(53 = 1 \cdot 7 \cdot 8 - 3 \) \(54 = ( 17 - 8 ) \cdot 3 !\) \(55 = 17 + 38 \) \(56 = 87 - 31 \)
\(57 = 71 - 3! - 8 \) \(58 = 7 \cdot 8 - 1 + 3 \) \(59 = 17 \cdot 3 + 8 \) \(60 = 71 - 3 - 8 \)
\(61 = 18 \cdot 3 + 7 \) \(62 = \sqrt{\sqrt{7^{8}}} + 13 \) \(63 = 87 - ( 1 + 3 )!\) \(64 = 73 - \sqrt{81 }\)
\(65 = 78 - 13 \) \(66 = 83 - 17 \) \(67 = 73 - \sqrt{\sqrt{81 }}!\) \(68 = 81 - 3! - 7 \)
\(69 = 7 \cdot 8 + 13 \) \(70 = 73 - \sqrt{\sqrt{81 }}\) \(71 = 81 - 3 - 7 \) \(72 = ( 7 - 3 ) \cdot 18 \)
\(73 = 1^{8} \cdot 73 \) \(74 = 87 - 13 \) \(75 = ( 17 + 8 ) \cdot 3 \) \(76 = 71 - 3 + 8 \)
\(77 = 78 - 1^{3 }\) \(78 = 1^{3} \cdot 78 \) \(79 = 1^{3} + 78 \) \(80 = 73 - 1 + 8 \)
\(81 = 73 \cdot 1 + 8 \) \(82 = 73 + \sqrt{81 }\) \(83 = 13 \cdot 7 - 8 \) \(84 = 1^{7} + 83 \)
\(85 = ( 8 - 3 ) \cdot 17 \) \(86 = 87 - 1^{3 }\) \(87 = 7 \cdot 8 + 31 \) \(88 = 1^{3} + 87 \)
\(89 = 83 - 1 + 7 \) \(90 = 83 \cdot 1 + 7 \) \(91 = 13 + 78 \) \(92 = 87 - 1 + 3 !\)
\(93 = 87 \cdot 1 + 3 !\) \(94 = 17 \cdot 3! - 8 \) \(95 = 3 \cdot 8 + 71 \) \(96 = ( \sqrt{81} + 7 ) \cdot 3 !\)
\(97 = 13 \cdot 8 - 7 \) \(98 = \sqrt{3^{8}} + 17 \) \(99 = 13 \cdot 7 + 8 \) \(100 = 13 + 87 \)