All 100 targets have a solution.
\(1 = 1^{37 - 9 }\)
\(2 = 3 \cdot 7 - 19 \)
\(3 = 9 - ( 13 - 7 )\)
\(4 = \frac{ 19 - 7 }{ 3 }\)
\(5 = 17 - 3 - 9 \)
\(6 = ( 9 - ( 13 - 7 ) )!\)
\(7 = \sqrt{73 - 9} - 1 \)
\(8 = \frac{ 73 - 1 }{ 9 }\)
\(9 = 19 - 3 - 7 \)
\(10 = 3 \cdot 9 - 17 \)
\(11 = 13 + 7 - 9 \)
\(12 = \frac{ 37 - 1 }{ \sqrt{9 } }\)
\(13 = \sqrt{13^{9 - 7 }}\)
\(14 = 17 - \frac{ 9 }{ 3 }\)
\(15 = 13 - 7 + 9 \)
\(16 = \frac{ 91 }{ 7 } + 3 \)
\(17 = 13 + 7 - \sqrt{9 }\)
\(18 = 37 - 19 \)
\(19 = ( 7 - 3! ) \cdot 19 \)
\(20 = \frac{ 9 }{ 3 } + 17 \)
\(21 = \sqrt{7 - 3} + 19 \)
\(22 = 39 - 17 \)
\(23 = 17 - 3 + 9 \)
\(24 = ( 17 - 9 ) \cdot 3 \)
\(25 = ( 3 - 1 ) \cdot 9 + 7 \)
\(26 = ( 9 - 7 ) \cdot 13 \)
\(27 = 37 - 1 - 9 \)
\(28 = ( 13 - 9 ) \cdot 7 \)
\(29 = 13 + 7 + 9 \)
\(30 = 1 \cdot 3 \cdot 7 + 9 \)
\(31 = 39 - 1 - 7 \)
\(32 = 71 - 39 \)
\(33 = 31 - 7 + 9 \)
\(34 = 7 \cdot \sqrt{9} + 13 \)
\(35 = 31 + 7 - \sqrt{9 }\)
\(36 = ( 19 - 7 ) \cdot 3 \)
\(37 = 1^{9} \cdot 37 \)
\(38 = 1^{9} + 37 \)
\(39 = 1^{7} \cdot 39 \)
\(40 = 3 \cdot 7 + 19 \)
\(41 = 31 + 7 + \sqrt{9 }\)
\(42 = 17 \cdot 3 - 9 \)
\(43 = ( 7 - 3 )! + 19 \)
\(44 = 3 \cdot 9 + 17 \)
\(45 = 37 - 1 + 9 \)
\(46 = 37 \cdot 1 + 9 \)
\(47 = 31 + 7 + 9 \)
\(48 = 79 - 31 \)
\(49 = 7^{\sqrt{13 - 9 }}\)
\(50 = 7 \cdot 9 - 13 \)
\(51 = \frac{ 17 \cdot 9 }{ 3 }\)
\(52 = ( 7 - \sqrt{9} ) \cdot 13 \)
\(53 = ( 9 - 1 ) \cdot 7 - 3 \)
\(54 = 73 - 19 \)
\(55 = 79 - ( 1 + 3 )!\)
\(56 = 17 + 39 \)
\(57 = ( 7 - 1 ) \cdot 9 + 3 \)
\(58 = 7^{3 - 1} + 9 \)
\(59 = 71 - 3 - 9 \)
\(60 = 17 \cdot 3 + 9 \)
\(61 = 3! \cdot 7 + 19 \)
\(62 = ( 9 - 7 ) \cdot 31 \)
\(63 = 73 - 1 - 9 \)
\(64 = 19 \cdot 3 + 7 \)
\(65 = 71 + 3 - 9 \)
\(66 = 79 - 13 \)
\(67 = 91 - ( 7 - 3 )!\)
\(68 = 71 - \frac{ 9 }{ 3 }\)
\(69 = 73 - 1 - \sqrt{9 }\)
\(70 = 91 - 3 \cdot 7 \)
\(71 = 791 - 3 !!\)
\(72 = 73 - 1^{9 }\)
\(73 = 1^{9} \cdot 73 \)
\(74 = \frac{ 9 }{ 3 } + 71 \)
\(75 = 79 - 1 - 3 \)
\(76 = 93 - 17 \)
\(77 = 71 - 3 + 9 \)
\(78 = ( 17 + 9 ) \cdot 3 \)
\(79 = 1^{3} \cdot 79 \)
\(80 = 1^{3} + 79 \)
\(81 = 73 - 1 + 9 \)
\(82 = 13 \cdot 7 - 9 \)
\(83 = 71 + 3 + 9 \)
\(84 = 97 - 13 \)
\(85 = 93 - 1 - 7 \)
\(86 = 93 \cdot 1 - 7 \)
\(87 = 91 + 3 - 7 \)
\(88 = 13 \cdot 7 - \sqrt{9 }\)
\(89 = 91 - \sqrt{7 - 3 }\)
\(90 = 91 + 3! - 7 \)
\(91 = ( 19 - 3! ) \cdot 7 \)
\(92 = 13 + 79 \)
\(93 = 1^{7} \cdot 93 \)
\(94 = 7 \cdot 9 + 31 \)
\(95 = 91 - 3 + 7 \)
\(96 = 97 - 1^{3 }\)
\(97 = 1^{3} \cdot 97 \)
\(98 = 3 \cdot 9 + 71 \)
\(99 = 93 - 1 + 7 \)
\(100 = 13 \cdot 7 + 9 \)