99 of 100 targets have a solution.
\(1 = 19 - 9 - 9 \)
\(2 = \frac{ 1 \cdot 9 + 9 }{ 9 }\)
\(3 = \frac{ 9 + 9 }{ 9 } + 1 \)
\(4 = 19 - 9 - \sqrt{9 }!\)
\(5 = 9 - \sqrt{19 - \sqrt{9 }}\)
\(6 = ( \frac{ 9 }{ 9 } + 1 ) \cdot \sqrt{9 }\)
\(7 = 19 - 9 - \sqrt{9 }\)
\(8 = 99 - 91 \)
\(9 = 1 \cdot 9 - 9 + 9 \)
\(10 = 91 - 9 \cdot 9 \)
\(11 = \frac{ 99 \cdot 1 }{ 9 }\)
\(12 = \frac{ 99 }{ 9 } + 1 \)
\(13 = 19 - 9 + \sqrt{9 }\)
\(14 = \sqrt{199 - \sqrt{9 }}\)
\(15 = 9 - 1 \cdot \sqrt{9} + 9 \)
\(16 = 19 - \frac{ 9 }{ \sqrt{9 } }\)
\(17 = 9 - 1^{9} + 9 \)
\(18 = 19 - \frac{ 9 }{ 9 }\)
\(19 = 19 - 9 + 9 \)
\(20 = \frac{ 9 }{ 9 } + 19 \)
\(21 = 1 \cdot \sqrt{9} + 9 + 9 \)
\(22 = \frac{ 9 }{ \sqrt{9} } + 19 \)
\(23 = \sqrt{9}! - 1 + 9 + 9 \)
\(24 = ( 9 - 1^{9} ) \cdot \sqrt{9 }\)
\(25 = 19 - \sqrt{9} + 9 \)
\(26 = 9 - 1 + 9 + 9 \)
\(27 = 1 \cdot 9 + 9 + 9 \)
\(28 = \sqrt{9 \cdot 9} + 19 \)
\(29 = \sqrt{9} \cdot 9 - 1 + \sqrt{9 }\)
\(30 = ( 19 - 9 ) \cdot \sqrt{9 }\)
\(31 = 19 + \sqrt{9} + 9 \)
\(32 = \frac{ 99 }{ \sqrt{9} } - 1 \)
\(33 = \frac{ 99 \cdot 1 }{ \sqrt{9 } }\)
\(34 = \frac{ 99 }{ \sqrt{9} } + 1 \)
\(35 = \sqrt{9}! \cdot 9 - 19 \)
\(36 = \sqrt{19 - \sqrt{9}} \cdot 9 \)
\(37 = 19 + 9 + 9 \)
\(38 = \frac{ 19 \cdot \sqrt{9}! }{ \sqrt{9 } }\)
\(39 = ( 1 + 9 ) \cdot \sqrt{9} + 9 \)
\(40 = \frac{ ( 9 - ( 1 + \sqrt{9} ) )! }{ \sqrt{9 } }\)
\(41 = \frac{ \sqrt{9}!! }{ 9 + 9 } + 1 \)
\(42 = ( 1 + \sqrt{9} )! + 9 + 9 \)
\(43 = \frac{ ( \sqrt{9}! - 1 )! + 9 }{ \sqrt{9 } }\)
\(44 = \sqrt{9}! \cdot 9 - 1 - 9 \)
\(45 = ( 9 - ( 1 + \sqrt{9} ) ) \cdot 9 \)
\(46 = \sqrt{9} \cdot 9 + 19 \)
\(47 = \sqrt{9}! \cdot 9 - 1 - \sqrt{9 }!\)
\(48 = 19 \cdot \sqrt{9} - 9 \)
\(49 = \frac{ ( \sqrt{9}! - 1 )! }{ \sqrt{9} } + 9 \)
\(50 = \sqrt{9}! \cdot 9 - 1 - \sqrt{9 }\)
\(51 = ( 9 - 1 + 9 ) \cdot \sqrt{9 }\)
\(52 = \sqrt{9}! \cdot 9 + 1 - \sqrt{9 }\)
\(53 = ( 9 - \sqrt{9} ) \cdot 9 - 1 \)
\(54 = 19 \cdot \sqrt{9} - \sqrt{9 }\)
\(55 = ( 9 - \sqrt{9} ) \cdot 9 + 1 \)
\(56 = \sqrt{9}! \cdot 9 - 1 + \sqrt{9 }\)
\(57 = \frac{ 19 \cdot 9 }{ \sqrt{9 } }\)
\(58 = \sqrt{9}! \cdot 9 + 1 + \sqrt{9 }\)
\(59 = \sqrt{9}! \cdot 9 - 1 + \sqrt{9 }!\)
\(60 = ( 19 - 9 ) \cdot \sqrt{9 }!\)
\(61 = \frac{ \sqrt{9}!! }{ 9 } - 19 \)
\(62 = 9 \cdot 9 - 19 \)
\(63 = ( 9 - 1 ) \cdot 9 - 9 \)
\(64 = 91 - \sqrt{9} \cdot 9 \)
\(65 = \frac{ ( 9 - 1 )! }{ \sqrt{9}!! } + 9 \)
\(66 = 19 \cdot \sqrt{9} + 9 \)
\(67 = \sqrt{\frac{ ( 9 - 1 )! }{ 9 } + 9 }\)
\(68 = ?\)
\(69 = ( 9 - 1 ) \cdot 9 - \sqrt{9 }\)
\(70 = \frac{ \sqrt{9}!! }{ 9 } - 1 - 9 \)
\(71 = 9 \cdot 9 - 1 - 9 \)
\(72 = ( 9 - 1^{9} ) \cdot 9 \)
\(73 = 91 - 9 - 9 \)
\(74 = 9 \cdot 9 - 1 - \sqrt{9 }!\)
\(75 = 99 - ( 1 + \sqrt{9 } )!\)
\(76 = 91 - 9 - \sqrt{9 }!\)
\(77 = 9 \cdot 9 - 1 - \sqrt{9 }\)
\(78 = 1 \cdot 9 \cdot 9 - \sqrt{9 }\)
\(79 = 91 - 9 - \sqrt{9 }\)
\(80 = 99 - 19 \)
\(81 = 9^{\frac{ 9 }{ 9 } + 1 }\)
\(82 = 91 - \sqrt{9 \cdot 9 }\)
\(83 = 9 \cdot 9 - 1 + \sqrt{9 }\)
\(84 = ( 19 + 9 ) \cdot \sqrt{9 }\)
\(85 = 91 - 9 + \sqrt{9 }\)
\(86 = 9 \cdot 9 - 1 + \sqrt{9 }!\)
\(87 = ( 1 + 9 ) \cdot 9 - \sqrt{9 }\)
\(88 = 91 - \frac{ 9 }{ \sqrt{9 } }\)
\(89 = 99 - 1 - 9 \)
\(90 = ( 19 - 9 ) \cdot 9 \)
\(91 = 91 - 9 + 9 \)
\(92 = \frac{ 9 }{ 9 } + 91 \)
\(93 = 99 \cdot 1 - \sqrt{9 }!\)
\(94 = \frac{ 9 }{ \sqrt{9} } + 91 \)
\(95 = 99 - 1 - \sqrt{9 }\)
\(96 = 99 \cdot 1 - \sqrt{9 }\)
\(97 = 91 - \sqrt{9} + 9 \)
\(98 = 99 - 1^{9 }\)
\(99 = 1^{9} \cdot 99 \)
\(100 = 9 \cdot 9 + 19 \)