1 1 3 6

89 of 100 targets have a solution.

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