3999

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