All 100 targets have a solution.
\(1 = \frac{ 16 }{ 4 } - 3 \)
\(2 = \frac{ 6 }{ \sqrt{13 - 4 } }\)
\(3 = 13 - 4 - 6 \)
\(4 = 3 \cdot 6 - 14 \)
\(5 = 41 - 36 \)
\(6 = ( 13 - 4 - 6 )!\)
\(7 = \sqrt{63 - 14 }\)
\(8 = 14 - \sqrt{36 }\)
\(9 = 16 - 3 - 4 \)
\(10 = \frac{ 36 }{ 4 } + 1 \)
\(11 = 13 + 4 - 6 \)
\(12 = 14 - \frac{ 6 }{ 3 }\)
\(13 = \sqrt{13^{6 - 4 }}\)
\(14 = ( 13 - 6 ) \cdot \sqrt{4 }\)
\(15 = 46 - 31 \)
\(16 = \frac{ 6 }{ 3 } + 14 \)
\(17 = 14 - 3 + 6 \)
\(18 = 34 - 16 \)
\(19 = \frac{ 61 - 4 }{ 3 }\)
\(20 = 14 + \sqrt{36 }\)
\(21 = 13 + \sqrt{64 }\)
\(22 = 36 - 14 \)
\(23 = \sqrt{361} + 4 \)
\(24 = ( 14 - 6 ) \cdot 3 \)
\(25 = \sqrt{4} \cdot 6 + 13 \)
\(26 = ( 6 - 4 ) \cdot 13 \)
\(27 = 43 - 16 \)
\(28 = ( 13 - 6 ) \cdot 4 \)
\(29 = 31 + 4 - 6 \)
\(30 = 34 - \sqrt{16 }\)
\(31 = 36 - 1 - 4 \)
\(32 = 3 \cdot 6 + 14 \)
\(33 = 46 - 13 \)
\(34 = \frac{ 136 }{ 4 }\)
\(35 = 41 - \sqrt{36 }\)
\(36 = 14 \cdot 3 - 6 \)
\(37 = 4 \cdot 6 + 13 \)
\(38 = \sqrt{361 \cdot 4 }\)
\(39 = 43 - \sqrt{16 }\)
\(40 = 34 \cdot 1 + 6 \)
\(41 = 31 + 4 + 6 \)
\(42 = ( 6 - 3 ) \cdot 14 \)
\(43 = \sqrt{361} + 4 !\)
\(44 = 16 \cdot 3 - 4 \)
\(45 = 46 - 1^{3 }\)
\(46 = 13 \cdot 4 - 6 \)
\(47 = \sqrt{16} + 43 \)
\(48 = 14 \cdot 3 + 6 \)
\(49 = 63 - 14 \)
\(50 = 14 + 36 \)
\(51 = 64 - 13 \)
\(52 = ( 16 - 3 ) \cdot 4 \)
\(53 = 41 + 3! + 6 \)
\(54 = ( 13 - 4 ) \cdot 6 \)
\(55 = 4 \cdot 6 + 31 \)
\(56 = 3 \cdot 4! - 16 \)
\(57 = 63 - ( 4 - 1 )!\)
\(58 = 13 \cdot 4 + 6 \)
\(59 = 13 + 46 \)
\(60 = ( 14 + 6 ) \cdot 3 \)
\(61 = 16 \cdot 4 - 3 \)
\(62 = ( 6 - 4 ) \cdot 31 \)
\(63 = 1^{4} \cdot 63 \)
\(64 = ( \frac{ 16 }{ 4 } )^{3 }\)
\(65 = 3^{4} - 16 \)
\(66 = ( 14 - 3 ) \cdot 6 \)
\(67 = 16 \cdot 4 + 3 \)
\(68 = \frac{ 136 }{ \sqrt{4 } }\)
\(69 = \sqrt{4}^{3} + 61 \)
\(70 = 16 \cdot 4 + 3 !\)
\(71 = 36 \cdot \sqrt{4} - 1 \)
\(72 = 16 \cdot 3 + 4 !\)
\(73 = 3 \cdot 4 + 61 \)
\(74 = 13 \cdot 6 - 4 \)
\(75 = ( 1 \cdot 3 )^{4} - 6 \)
\(76 = \sqrt{361} \cdot 4 \)
\(77 = 13 + 64 \)
\(78 = 14 \cdot 3! - 6 \)
\(79 = \frac{ 316 }{ 4 }\)
\(80 = 4^{3} + 16 \)
\(81 = 14 \cdot 6 - 3 \)
\(82 = 13 \cdot 6 + 4 \)
\(83 = 3^{\sqrt{16}} + \sqrt{4 }\)
\(84 = 14 \cdot \sqrt{36 }\)
\(85 = 3^{\sqrt{16}} + 4 \)
\(86 = \sqrt{\sqrt{16}} \cdot 43 \)
\(87 = 14 \cdot 6 + 3 \)
\(88 = ( 16 + 3! ) \cdot 4 \)
\(89 = ( 4! + 6 ) \cdot 3 - 1 \)
\(90 = ( 13 + \sqrt{4} ) \cdot 6 \)
\(91 = 61 + 3! + 4 !\)
\(92 = ( 3 - 1 ) \cdot 46 \)
\(93 = \frac{ 31 \cdot 6 }{ \sqrt{4 } }\)
\(94 = 16 \cdot 3! - \sqrt{4 }\)
\(95 = 31 + 64 \)
\(96 = 16 \cdot 3 \cdot \sqrt{4 }\)
\(97 = 3^{4} + 16 \)
\(98 = 16 \cdot 3! + \sqrt{4 }\)
\(99 = \sqrt{16} \cdot 4! + 3 \)
\(100 = ( 31 - 6 ) \cdot 4 \)