All 100 targets have a solution.
\(1 = ( 259 \cdot 0 )!\)
\(2 = 59 \cdot 0 + 2 \)
\(3 = 59^{0} + 2 \)
\(4 = 5 - 29^{0 }\)
\(5 = 9 - \frac{ 20 }{ 5 }\)
\(6 = 20 - 5 - 9 \)
\(7 = 9 - \sqrt{\frac{ 20 }{ 5 }}\)
\(8 = 9 - 25^{0 }\)
\(9 = 25 \cdot 0 + 9 \)
\(10 = 25^{0} + 9 \)
\(11 = \sqrt{\frac{ 20 }{ 5 }} + 9 \)
\(12 = \frac{ 20 }{ 5 } \cdot \sqrt{9 }\)
\(13 = \frac{ 20 }{ 5 } + 9 \)
\(14 = \sqrt{205 - 9 }\)
\(15 = ( \frac{ 20 }{ 5 } )! - 9 \)
\(16 = 20 + 5 - 9 \)
\(17 = 25 + 0! - 9 \)
\(18 = \frac{ 90 }{ \sqrt{25 } }\)
\(19 = \sqrt{20 \cdot 5} + 9 \)
\(20 = \frac{ 90 }{ 5 } + 2 \)
\(21 = 50 - 29 \)
\(22 = \sqrt{529} - 0 !\)
\(23 = \sqrt{520 + 9 }\)
\(24 = 20 - 5 + 9 \)
\(25 = 5 \cdot 9 - 20 \)
\(26 = 9^{0} + 25 \)
\(27 = ( 5 - ( 0 + 2 ) ) \cdot 9 \)
\(28 = 29 - 5^{0 }\)
\(29 = 0 \cdot 5 + 29 \)
\(30 = 5^{0} + 29 \)
\(31 = 9^{2} - 50 \)
\(32 = 50 - 2 \cdot 9 \)
\(33 = ( \frac{ 20 }{ 5 } )! + 9 \)
\(34 = 20 + 5 + 9 \)
\(35 = 5 \cdot \sqrt{9} + 20 \)
\(36 = \frac{ 20 }{ 5 } \cdot 9 \)
\(37 = \sqrt{2^{0! + 9}} + 5 \)
\(38 = 90 - 52 \)
\(39 = 59 - 20 \)
\(40 = \frac{ 90 }{ 2 } - 5 \)
\(41 = \sqrt{50^{2}} - 9 \)
\(42 = 92 - 50 \)
\(43 = 50 + 2 - 9 \)
\(44 = ( 9 - 5 )! + 20 \)
\(45 = \sqrt{20 + 5} \cdot 9 \)
\(46 = 2^{0} + 5 \cdot 9 \)
\(47 = \frac{ 95 - 0! }{ 2 }\)
\(48 = \frac{ 95 + 0! }{ 2 }\)
\(49 = 50 + 2 - \sqrt{9 }\)
\(50 = \frac{ 90 }{ 2 } + 5 \)
\(51 = 52 - 9^{0 }\)
\(52 = 0 \cdot 9 + 52 \)
\(53 = 9^{0} + 52 \)
\(54 = \frac{ 5! }{ 20 } \cdot 9 \)
\(55 = ( 20 - 9 ) \cdot 5 \)
\(56 = 2 \cdot \sqrt{9} + 50 \)
\(57 = 50 - 2 + 9 \)
\(58 = \frac{ 290 }{ 5 }\)
\(59 = 0 \cdot 2 + 59 \)
\(60 = 2^{0} + 59 \)
\(61 = 50 + 2 + 9 \)
\(62 = 52 + 0! + 9 \)
\(63 = ( 0 + 2 + 5 ) \cdot 9 \)
\(64 = ( \frac{ 20 }{ 5 } )^{\sqrt{9 }}\)
\(65 = 90 - 25 \)
\(66 = ( 0! + 5 ) \cdot ( 2 + 9 )\)
\(67 = 2^{0! + 5} + \sqrt{9 }\)
\(68 = 2 \cdot 9 + 50 \)
\(69 = \frac{ 5! }{ 0 + 2 } + 9 \)
\(70 = ( 20 - \sqrt{9}! ) \cdot 5 \)
\(71 = \sqrt{5^{0} + ( 9 - 2 )!}\)
\(72 = ( \frac{ 20 }{ 5 } )! \cdot \sqrt{9 }\)
\(73 = 2^{0! + 5} + 9 \)
\(74 = 25 \cdot \sqrt{9} - 0 !\)
\(75 = 95 - 20 \)
\(76 = 9^{0 + 2} - 5 \)
\(77 = 9^{2} + 0! - 5 \)
\(78 = ( 25 + 0! ) \cdot \sqrt{9 }\)
\(79 = 20 + 59 \)
\(80 = ( 9 - 5 ) \cdot 20 \)
\(81 = 9^{\sqrt{\frac{ 20 }{ 5 }}}\)
\(82 = ( 50 - 9 ) \cdot 2 \)
\(83 = 90 - 2 - 5 \)
\(84 = 90 - ( 5 - 2 )!\)
\(85 = 90 - \sqrt{25 }\)
\(86 = 92 - 0! - 5 \)
\(87 = 90 + 2 - 5 \)
\(88 = 92 + 0! - 5 \)
\(89 = 209 - 5 !\)
\(90 = \sqrt{20 \cdot 5} \cdot 9 \)
\(91 = 20 \cdot 5 - 9 \)
\(92 = 0 \cdot 5 + 92 \)
\(93 = 90 - 2 + 5 \)
\(94 = 95 - 2^{0 }\)
\(95 = \sqrt{9025 }\)
\(96 = 2^{0} + 95 \)
\(97 = 90 + 2 + 5 \)
\(98 = 92 + 0! + 5 \)
\(99 = ( 2 \cdot 5 + 0! ) \cdot 9 \)
\(100 = 2 \cdot 5 + 90 \)