99 of 100 targets have a solution.
\(1 = 14^{4 - 4 }\)
\(2 = 4 \cdot 4 - 14 \)
\(3 = 44 - 41 \)
\(4 = \sqrt{\sqrt{144} + 4 }\)
\(5 = \sqrt{\sqrt{441} + 4 }\)
\(6 = \sqrt{\frac{ 144 }{ 4 }}\)
\(7 = \frac{ 14 \cdot \sqrt{4} }{ 4 }\)
\(8 = \sqrt{144} - 4 \)
\(9 = \frac{ 14 + 4 }{ \sqrt{4 } }\)
\(10 = \sqrt{144} - \sqrt{4 }\)
\(11 = \frac{ 44 \cdot 1 }{ 4 }\)
\(12 = 4! - \sqrt{144 }\)
\(13 = 14 - \frac{ 4 }{ 4 }\)
\(14 = 14 - 4 + 4 \)
\(15 = \frac{ 4 }{ 4 } + 14 \)
\(16 = \sqrt{144} + 4 \)
\(17 = \sqrt{441} - 4 \)
\(18 = \sqrt{4 \cdot 4} + 14 \)
\(19 = \sqrt{441} - \sqrt{4 }\)
\(20 = ( 14 - 4 ) \cdot \sqrt{4 }\)
\(21 = 41 - 4! + 4 \)
\(22 = 14 + 4 + 4 \)
\(23 = \sqrt{441} + \sqrt{4 }\)
\(24 = \sqrt{144 \cdot 4 }\)
\(25 = \sqrt{441} + 4 \)
\(26 = 14 \cdot \sqrt{4} - \sqrt{4 }\)
\(27 = 4 - 1^{4} + 4 !\)
\(28 = \frac{ 14 }{ \sqrt{4} } \cdot 4 \)
\(29 = 41 - \frac{ 4! }{ \sqrt{4 } }\)
\(30 = 44 - 14 \)
\(31 = ( 4 + 4 ) \cdot 4 - 1 \)
\(32 = 14 \cdot \sqrt{4} + 4 \)
\(33 = 41 - 4 - 4 \)
\(34 = 14 - 4 + 4 !\)
\(35 = 41 - 4 - \sqrt{4 }\)
\(36 = \frac{ 144 }{ 4 }\)
\(37 = 41 - \sqrt{4 \cdot 4 }\)
\(38 = \sqrt{1444 }\)
\(39 = 44 - 1 - 4 \)
\(40 = ( 14 - 4 ) \cdot 4 \)
\(41 = 41 - 4 + 4 \)
\(42 = \sqrt{441 \cdot 4 }\)
\(43 = 44 - 1^{4 }\)
\(44 = 1^{4} \cdot 44 \)
\(45 = 1^{4} + 44 \)
\(46 = 44 \cdot 1 + \sqrt{4 }\)
\(47 = 44 - 1 + 4 \)
\(48 = \sqrt{144} \cdot 4 \)
\(49 = 41 + 4 + 4 \)
\(50 = ( 4 - 1 )! + 44 \)
\(51 = 4 - 1 + 4! + 4 !\)
\(52 = 14 \cdot 4 - 4 \)
\(53 = \frac{ 4! }{ \sqrt{4} } + 41 \)
\(54 = 14 \cdot 4 - \sqrt{4 }\)
\(55 = 4 \cdot 4! - 41 \)
\(56 = \sqrt{4 \cdot 4} \cdot 14 \)
\(57 = 4 \cdot 4 + 41 \)
\(58 = 14 + 44 \)
\(59 = \frac{ ( 1 + 4 )! - \sqrt{4} }{ \sqrt{4 } }\)
\(60 = 14 \cdot 4 + 4 \)
\(61 = 41 - 4 + 4 !\)
\(62 = 14 + 4! + 4 !\)
\(63 = 4 \cdot 4 \cdot 4 - 1 \)
\(64 = ( 14 + \sqrt{4} ) \cdot 4 \)
\(65 = 4 \cdot 4 \cdot 4 + 1 \)
\(66 = 4^{4 - 1} + \sqrt{4 }\)
\(67 = 44 - 1 + 4 !\)
\(68 = ( 41 - 4! ) \cdot 4 \)
\(69 = 41 + 4 + 4 !\)
\(70 = ( 4 - 1 ) \cdot 4! - \sqrt{4 }\)
\(71 = 4 \cdot 4! - 1 - 4 !\)
\(72 = \frac{ 144 }{ \sqrt{4 } }\)
\(73 = 4 \cdot 4! + 1 - 4 !\)
\(74 = ( 41 - 4 ) \cdot \sqrt{4 }\)
\(75 = ?\)
\(76 = ( 1 + 4 )! - 44 \)
\(77 = ( 4 - 1 )^{4} - 4 \)
\(78 = 41 \cdot \sqrt{4} - 4 \)
\(79 = ( 4 - 1 )^{4} - \sqrt{4 }\)
\(80 = 14 \cdot 4 + 4 !\)
\(81 = ( 4 - 1^{4} )^{4 }\)
\(82 = 4 \cdot 4! - 14 \)
\(83 = ( 4 - 1 )^{4} + \sqrt{4 }\)
\(84 = \sqrt{441} \cdot 4 \)
\(85 = 41 + 44 \)
\(86 = 41 \cdot \sqrt{4} + 4 \)
\(87 = 44 \cdot \sqrt{4} - 1 \)
\(88 = 44 \cdot 1 \cdot \sqrt{4 }\)
\(89 = 44 \cdot \sqrt{4} + 1 \)
\(90 = ( 41 + 4 ) \cdot \sqrt{4 }\)
\(91 = 4 \cdot 4! - 1 - 4 \)
\(92 = ( 4! - 1^{4} ) \cdot 4 \)
\(93 = 4 \cdot 4! + 1 - 4 \)
\(94 = ( 4! - 1 ) \cdot 4 + \sqrt{4 }\)
\(95 = 4 \cdot 4! - 1^{4 }\)
\(96 = 1^{4} \cdot 4 \cdot 4 !\)
\(97 = 1^{4} + 4 \cdot 4 !\)
\(98 = \sqrt{\frac{ 14^{4} }{ 4 }}\)
\(99 = 4 \cdot 4! - 1 + 4 \)
\(100 = ( 14 - 4 )^{\sqrt{4 }}\)