All 100 targets have a solution.
\(1 = 1^{\sqrt{729 }}\)
\(2 = \frac{ 27 }{ 9 } - 1 \)
\(3 = \frac{ 12 + 9 }{ 7 }\)
\(4 = 9 - ( 12 - 7 )\)
\(5 = 19 - 2 \cdot 7 \)
\(6 = \frac{ 12 }{ 9 - 7 }\)
\(7 = 1^{29} \cdot 7 \)
\(8 = 27 - 19 \)
\(9 = 1^{27} \cdot 9 \)
\(10 = \sqrt{21 + 79 }\)
\(11 = \frac{ 91 }{ 7 } - 2 \)
\(12 = 29 - 17 \)
\(13 = \frac{ 17 + 9 }{ 2 }\)
\(14 = 12 - 7 + 9 \)
\(15 = \frac{ 91 }{ 7 } + 2 \)
\(16 = ( 17 - 9 ) \cdot 2 \)
\(17 = 27 - 1 - 9 \)
\(18 = 27 \cdot 1 - 9 \)
\(19 = 91 - 72 \)
\(20 = ( 1 + 2 ) \cdot 9 - 7 \)
\(21 = 92 - 71 \)
\(22 = 29 \cdot 1 - 7 \)
\(23 = 21 - 7 + 9 \)
\(24 = ( 9 - 7 ) \cdot 12 \)
\(25 = 17 \cdot 2 - 9 \)
\(26 = \sqrt{729} - 1 \)
\(27 = \sqrt{729} \cdot 1 \)
\(28 = \sqrt{729} + 1 \)
\(29 = 1^{7} \cdot 29 \)
\(30 = 7^{2} - 19 \)
\(31 = 19 \cdot 2 - 7 \)
\(32 = ( 1 \cdot 7 + 9 ) \cdot 2 \)
\(33 = 2 \cdot 7 + 19 \)
\(34 = \frac{ 71 - \sqrt{9} }{ 2 }\)
\(35 = 2 \cdot 9 + 17 \)
\(36 = 27 \cdot 1 + 9 \)
\(37 = 21 + 7 + 9 \)
\(38 = ( 7 - 1 ) \cdot \sqrt{9}! + 2 \)
\(39 = \frac{ 79 - 1 }{ 2 }\)
\(40 = \frac{ 71 + 9 }{ 2 }\)
\(41 = 7^{2} + 1 - 9 \)
\(42 = 71 - 29 \)
\(43 = 17 \cdot 2 + 9 \)
\(44 = ( 7 - 2 ) \cdot 9 - 1 \)
\(45 = ( 12 - 7 ) \cdot 9 \)
\(46 = 17 + 29 \)
\(47 = 2^{\sqrt{9}!} - 17 \)
\(48 = \frac{ 97 - 1 }{ 2 }\)
\(49 = \frac{ 91 + 7 }{ 2 }\)
\(50 = ( 9 - 2 ) \cdot 7 + 1 \)
\(51 = 7 \cdot 9 - 12 \)
\(52 = ( 17 + 9 ) \cdot 2 \)
\(53 = 72 - 19 \)
\(54 = ( \frac{ 21 }{ 7 } )! \cdot 9 \)
\(55 = 2^{7 - 1} - 9 \)
\(56 = 21 \cdot \sqrt{9} - 7 \)
\(57 = ( 12 + 7 ) \cdot \sqrt{9 }\)
\(58 = 79 - 21 \)
\(59 = 7^{2} + 1 + 9 \)
\(60 = 71 - 2 - 9 \)
\(61 = 1 \cdot 7 \cdot 9 - 2 \)
\(62 = 72 - 1 - 9 \)
\(63 = 72 \cdot 1 - 9 \)
\(64 = 91 - 27 \)
\(65 = 71 - 2 \cdot \sqrt{9 }\)
\(66 = 71 - 2 - \sqrt{9 }\)
\(67 = 79 - 12 \)
\(68 = 7^{2} + 19 \)
\(69 = 72 \cdot 1 - \sqrt{9 }\)
\(70 = 21 \cdot \sqrt{9} + 7 \)
\(71 = 72 - 1^{9 }\)
\(72 = 1^{9} \cdot 72 \)
\(73 = 1^{9} + 72 \)
\(74 = 72 - 1 + \sqrt{9 }\)
\(75 = 92 - 17 \)
\(76 = 97 - 21 \)
\(77 = 79 \cdot 1 - 2 \)
\(78 = 71 - 2 + 9 \)
\(79 = ( 2 - 1 ) \cdot 79 \)
\(80 = 72 - 1 + 9 \)
\(81 = 72 \cdot 1 + 9 \)
\(82 = 71 + 2 + 9 \)
\(83 = 2 \cdot \sqrt{9}! + 71 \)
\(84 = ( 21 - 9 ) \cdot 7 \)
\(85 = 97 - 12 \)
\(86 = 91 + 2 - 7 \)
\(87 = 12 \cdot 7 + \sqrt{9 }\)
\(88 = 91 - \sqrt{2 + 7 }\)
\(89 = \sqrt{7921 }\)
\(90 = ( 1 + 2 + 7 ) \cdot 9 \)
\(91 = 12 + 79 \)
\(92 = 1^{7} \cdot 92 \)
\(93 = 12 \cdot 7 + 9 \)
\(94 = 97 - 1 - 2 \)
\(95 = ( 7 - 2 ) \cdot 19 \)
\(96 = 91 - 2 + 7 \)
\(97 = ( 2 - 1 ) \cdot 97 \)
\(98 = 9^{2} + 17 \)
\(99 = 92 \cdot 1 + 7 \)
\(100 = 21 + 79 \)