4559

$1 = \frac{\frac{45}{5}}{9}$	$2 = 9 - \sqrt{54 - 5}$	$3 = \frac{9}{\sqrt{\frac{45}{5}}}$	$4 = \sqrt{55 + 9} - 4$
$5 = 59 - 54$	$6 = 55 - 49$	$7 = \sqrt{45 - 5 + 9}$	$8 = \frac{5}{5} + \sqrt{49}$
$9 = \frac{54 - 9}{5}$	$10 = \frac{45}{9} + 5$	$11 = \frac{54}{9} + 5$	$12 = \sqrt{\frac{45}{5}} + 9$
$13 = \frac{54}{\sqrt{9}} - 5$	$14 = 59 - 45$	$15 = \frac{95}{5} - 4$	$16 = \frac{55 + 9}{4}$
$17 = \sqrt{49} + 5 + 5$	$18 = \frac{45}{5} + 9$	$19 = 55 - 4 \cdot 9$	$20 = \frac{45}{\sqrt{9}} + 5$
$21 = 45 - (9 - 5)!$	$22 = 55 - 4! - 9$	$23 = \frac{95}{5} + 4$	$24 = 49 - 5 \cdot 5$
$25 = \frac{45 \cdot 5}{9}$	$26 = 9^{\sqrt{4}} - 55$	$27 = \sqrt{\frac{45}{5}} \cdot 9$	$28 = 55 - 4! - \sqrt{9}$
$29 = 59 - \frac{5!}{4}$	$30 = \frac{54 \cdot 5}{9}$	$31 = 45 - 5 - 9$	$32 = (\sqrt{49} - 5)^{5}$
$33 = (5 - (5 - 4))! + 9$	$34 = 59 - 5^{\sqrt{4}}$	$35 = \sqrt{49 \cdot 5 \cdot 5}$	$36 = (5 - (5 - 4)) \cdot 9$
$37 = 45 - 5 - \sqrt{9}$	$38 = \frac{95 \cdot \sqrt{4}}{5}$	$39 = 94 - 55$	$40 = 54 - 5 - 9$
$41 = 95 - 54$	$42 = 55 - 4 - 9$	$43 = 45 - 5 + \sqrt{9}$	$44 = 49 - \sqrt{5 \cdot 5}$
$45 = \sqrt{45 \cdot 5 \cdot 9}$	$46 = 54 - 5 - \sqrt{9}$	$47 = 45 + 5 - \sqrt{9}$	$48 = 55 - \sqrt{49}$
$49 = 45 - 5 + 9$	$50 = 95 - 45$	$51 = (5 + 9) \cdot 4 - 5$	$52 = 54 - 5 + \sqrt{9}$
$53 = 45 + 5 + \sqrt{9}$	$54 = \sqrt{5 \cdot 5} + 49$	$55 = (4 - \sqrt{9}) \cdot 55$	$56 = 54 + 5 - \sqrt{9}$
$57 = 5! - 54 - 9$	$58 = 54 - 5 + 9$	$59 = 45 + 5 + 9$	$60 = 55 - 4 + 9$
$61 = \sqrt{4 \cdot 9} + 55$	$62 = \sqrt{49} + 55$	$63 = \sqrt{54 - 5} \cdot 9$	$64 = (5 \cdot 5 - 9) \cdot 4$
$65 = (9 - 4)! - 55$	$66 = 5! - 45 - 9$	$67 = 4 \cdot \sqrt{9} + 55$	$68 = 54 + 5 + 9$
$69 = 94 - 5 \cdot 5$	$70 = (5 + 5) \cdot \sqrt{49}$	$71 = 5^{\sqrt{9}} - 54$	$72 = 5! - 45 - \sqrt{9}$
$73 = \frac{5!}{5} + 49$	$74 = 5 \cdot 5 + 49$	$75 = 95 - 4 \cdot 5$	$76 = \frac{95 \cdot 4}{5}$
$77 = {\sqrt{4}}^{5} + 5 \cdot 9$	$78 = (9 - 5)! + 54$	$79 = 4 \cdot 5 + 59$	$80 = 5^{\sqrt{9}} - 45$
$81 = \frac{45}{5} \cdot 9$	$82 = 55 + 4! + \sqrt{9}$	$83 = 95 - \sqrt{4! + 5!}$	$84 = 94 - 5 - 5$
$85 = 95 - \sqrt{4} \cdot 5$	$86 = 95 - 4 - 5$	$87 = (5 \cdot 5 + 4) \cdot \sqrt{9}$	$88 = 55 + 4! + 9$
$89 = \frac{5!}{4} + 59$	$90 = 5 \cdot 9 + 45$	$91 = 4 \cdot 9 + 55$	$92 = (55 - 9) \cdot \sqrt{4}$
$93 = 94 - \frac{5}{5}$	$94 = 94 - 5 + 5$	$95 = \frac{5}{5} + 94$	$96 = 95 - 4 + 5$
$97 = 4 \cdot 5 \cdot 5 - \sqrt{9}$	$98 = 95 - \sqrt{4} + 5$	$99 = \frac{495}{5}$	$100 = (5! - 95) \cdot 4$