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