1 1 6 9

98 of 100 targets have a solution.

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