All 100 targets have a solution.
\(1 = 3 - \frac{ 12 }{ 6 }\)
\(2 = \frac{ 26 }{ 13 }\)
\(3 = \frac{ 36 }{ 12 }\)
\(4 = \sqrt{32 - 16 }\)
\(5 = 31 - 26 \)
\(6 = 12 - \sqrt{36 }\)
\(7 = 23 - 16 \)
\(8 = \frac{ 32 }{ \sqrt{16 } }\)
\(9 = 12 + 3 - 6 \)
\(10 = \frac{ 12 }{ 3 } + 6 \)
\(11 = \frac{ 16 }{ 2 } + 3 \)
\(12 = 21 - 3 - 6 \)
\(13 = 26 - 13 \)
\(14 = \frac{ 6 }{ 3 } + 12 \)
\(15 = 36 - 21 \)
\(16 = 32 - 16 \)
\(17 = \sqrt{361} - 2 \)
\(18 = 12 + \sqrt{36 }\)
\(19 = \sqrt{362 - 1 }\)
\(20 = 13 \cdot 2 - 6 \)
\(21 = \frac{ 126 }{ 3 ! }\)
\(22 = \frac{ 132 }{ 6 }\)
\(23 = 6^{2} - 13 \)
\(24 = 36 - 12 \)
\(25 = 2 \cdot 6 + 13 \)
\(26 = ( 16 - 3 ) \cdot 2 \)
\(27 = \frac{ 162 }{ 3 ! }\)
\(28 = 32 - \sqrt{16 }\)
\(29 = 61 - 32 \)
\(30 = 12 \cdot 3 - 6 \)
\(31 = 62 - 31 \)
\(32 = 13 \cdot 2 + 6 \)
\(33 = 2^{6} - 31 \)
\(34 = \frac{ 6 }{ 2 } + 31 \)
\(35 = 16 \cdot 2 + 3 \)
\(36 = \frac{ 216 }{ 3 ! }\)
\(37 = 32 - 1 + 6 \)
\(38 = 61 - 23 \)
\(39 = 13 + 26 \)
\(40 = \frac{ 6! }{ 21 - 3 }\)
\(41 = \sqrt{31^{2} + 6 !}\)
\(42 = \frac{ 126 }{ 3 }\)
\(43 = 2 \cdot 6 + 31 \)
\(44 = ( 16 + 3! ) \cdot 2 \)
\(45 = ( 21 - 6 ) \cdot 3 \)
\(46 = 16 \cdot 3 - 2 \)
\(47 = \sqrt{16}! + 23 \)
\(48 = 12 + 36 \)
\(49 = 62 - 13 \)
\(50 = 16 \cdot 3 + 2 \)
\(51 = 63 - 12 \)
\(52 = \frac{ 312 }{ 6 }\)
\(53 = 61 - 2^{3 }\)
\(54 = \frac{ 162 }{ 3 }\)
\(55 = 61 - 2 \cdot 3 \)
\(56 = 31 \cdot 2 - 6 \)
\(57 = 21 + 36 \)
\(58 = 62 - 1 - 3 \)
\(59 = 62 \cdot 1 - 3 \)
\(60 = 61 + 2 - 3 \)
\(61 = ( 3 - 2 ) \cdot 61 \)
\(62 = 61 - 2 + 3 \)
\(63 = ( 6 - 3 ) \cdot 21 \)
\(64 = 62 - 1 + 3 \)
\(65 = 62 \cdot 1 + 3 \)
\(66 = ( 13 - 2 ) \cdot 6 \)
\(67 = 6^{2} + 31 \)
\(68 = \frac{ 136 }{ 2 }\)
\(69 = 12 \cdot 6 - 3 \)
\(70 = ( 36 - 1 ) \cdot 2 \)
\(71 = 36 \cdot 2 - 1 \)
\(72 = \frac{ 216 }{ 3 }\)
\(73 = 36 \cdot 2 + 1 \)
\(74 = ( 31 + 6 ) \cdot 2 \)
\(75 = 12 + 63 \)
\(76 = 13 \cdot 6 - 2 \)
\(77 = 2^{6} + 13 \)
\(78 = 26 \cdot 1 \cdot 3 \)
\(79 = 26 \cdot 3 + 1 \)
\(80 = 13 \cdot 6 + 2 \)
\(81 = ( 21 + 6 ) \cdot 3 \)
\(82 = 3^{6 - 2} + 1 \)
\(83 = 3^{\sqrt{16}} + 2 \)
\(84 = 21 + 63 \)
\(85 = ( 3! - 2 )! + 61 \)
\(86 = ( 1 + 3 )! + 62 \)
\(87 = \frac{ 261 }{ 3 }\)
\(88 = ( 6 - 1 )! - 32 \)
\(89 = \frac{ 6! }{ 2^{3} } - 1 \)
\(90 = ( 12 + 3 ) \cdot 6 \)
\(91 = \frac{ 6! }{ 2^{3} } + 1 \)
\(92 = \sqrt{16} \cdot 23 \)
\(93 = 31 + 62 \)
\(94 = 16 \cdot 3! - 2 \)
\(95 = 2^{6} + 31 \)
\(96 = 16 \cdot 2 \cdot 3 \)
\(97 = ( 6 - 1 )! - 23 \)
\(98 = 16 \cdot 3! + 2 \)
\(99 = 3!! - 621 \)
\(100 = ( 16 - 3! )^{2 }\)