1 3 6 9

All 100 targets have a solution.

\(1 = 19 - 3 \cdot 6 \)
\(2 = 9 - ( 13 - 6 )\)
\(3 = \frac{ 36 }{ 9 } - 1 \)
\(4 = 16 - 3 - 9 \)
\(5 = \frac{ 36 }{ 9 } + 1 \)
\(6 = \frac{ 63 }{ 9 } - 1 \)
\(7 = \sqrt{169} - 3 !\)
\(8 = \sqrt{196} - 3 !\)
\(9 = ( \sqrt{16} - 3 ) \cdot 9 \)
\(10 = \sqrt{169} - 3 \)
\(11 = \sqrt{196} - 3 \)
\(12 = \sqrt{13 - 9} \cdot 6 \)
\(13 = 19 - \sqrt{36 }\)
\(14 = \sqrt{31 - 6} + 9 \)
\(15 = 39 - \sqrt{16 }!\)
\(16 = \sqrt{169} + 3 \)
\(17 = 36 - 19 \)
\(18 = ( 13 - 9 )! - 6 \)
\(19 = \frac{ 9 }{ 3 } + 16 \)
\(20 = \sqrt{196} + 3 !\)
\(21 = ( 16 - 9 ) \cdot 3 \)
\(22 = 61 - 39 \)
\(23 = 39 - 16 \)
\(24 = ( 13 - 9 ) \cdot 6 \)
\(25 = 19 + \sqrt{36 }\)
\(26 = 36 - 1 - 9 \)
\(27 = 36 \cdot 1 - 9 \)
\(28 = 91 - 63 \)
\(29 = 3!! - 691 \)
\(30 = ( 13 - 9 )! + 6 \)
\(31 = \frac{ 96 }{ 3 } - 1 \)
\(32 = 93 - 61 \)
\(33 = 39 \cdot 1 - 6 \)
\(34 = \sqrt{961} + 3 \)
\(35 = 39 - \sqrt{16 }\)
\(36 = 1^{9} \cdot 36 \)
\(37 = \sqrt{1369 }\)
\(38 = 69 - 31 \)
\(39 = \sqrt{169} \cdot 3 \)
\(40 = 1^{6} + 39 \)
\(41 = 6 \cdot 9 - 13 \)
\(42 = \sqrt{196} \cdot 3 \)
\(43 = \sqrt{16} + 39 \)
\(44 = \sqrt{1936 }\)
\(45 = 36 \cdot 1 + 9 \)
\(46 = 31 + 6 + 9 \)
\(47 = 3! \cdot 9 - 1 - 6 \)
\(48 = \frac{ 16 \cdot 9 }{ 3 }\)
\(49 = 61 - 3 - 9 \)
\(50 = 6 \cdot 9 - 1 - 3 \)
\(51 = 19 \cdot 3 - 6 \)
\(52 = 61 - 3 \cdot \sqrt{9 }\)
\(53 = 63 - 1 - 9 \)
\(54 = 63 \cdot 1 - 9 \)
\(55 = 16 + 39 \)
\(56 = 69 - 13 \)
\(57 = \sqrt{361 \cdot 9 }\)
\(58 = 61 - \frac{ 9 }{ 3 }\)
\(59 = 63 - 1 - \sqrt{9 }\)
\(60 = ( 13 - \sqrt{9} ) \cdot 6 \)
\(61 = 61 - 3 + \sqrt{9 }\)
\(62 = 63 - 1^{9 }\)
\(63 = ( 13 - 6 ) \cdot 9 \)
\(64 = \frac{ 9 }{ 3 } + 61 \)
\(65 = 96 - 31 \)
\(66 = 69 \cdot 1 - 3 \)
\(67 = 6 \cdot 9 + 13 \)
\(68 = 69 - 1^{3 }\)
\(69 = 13 \cdot 6 - 9 \)
\(70 = 1^{3} + 69 \)
\(71 = 63 - 1 + 9 \)
\(72 = 63 \cdot 1 + 9 \)
\(73 = 61 + 3 + 9 \)
\(74 = 69 - 1 + 3 !\)
\(75 = ( 16 + 9 ) \cdot 3 \)
\(76 = 61 + 3! + 9 \)
\(77 = 93 - 16 \)
\(78 = \sqrt{169} \cdot 3 !\)
\(79 = 91 - 3! - 6 \)
\(80 = 9^{\frac{ 6 }{ 3 }} - 1 \)
\(81 = 13 \cdot 6 + \sqrt{9 }\)
\(82 = 13 + 69 \)
\(83 = 96 - 13 \)
\(84 = \sqrt{196} \cdot 3 !\)
\(85 = 91 - \sqrt{36 }\)
\(86 = 93 - 1 - 6 \)
\(87 = 13 \cdot 6 + 9 \)
\(88 = 3 \cdot 9 + 61 \)
\(89 = 93 - \sqrt{16 }\)
\(90 = ( 16 - 3! ) \cdot 9 \)
\(91 = 93 - \sqrt{\sqrt{16 }}\)
\(92 = 93 - 1^{6 }\)
\(93 = \sqrt{961} \cdot 3 \)
\(94 = 91 - 3 + 6 \)
\(95 = 96 - 1^{3 }\)
\(96 = ( 9 - 3 ) \cdot 16 \)
\(97 = \sqrt{16} + 93 \)
\(98 = 93 - 1 + 6 \)
\(99 = 93 \cdot 1 + 6 \)
\(100 = 31 + 69 \)