4555

$1 = 55 - 54$	$2 = 5 - \sqrt{\frac{45}{5}}$	$3 = \frac{\sqrt{45 \cdot 5}}{5}$	$4 = \frac{45}{5} - 5$
$5 = (5 - 5) \cdot 4 + 5$	$6 = (5 - 4)^{5} + 5$	$7 = \frac{55}{5} - 4$	$8 = \frac{45 - 5}{5}$
$9 = \frac{45}{\sqrt{5 \cdot 5}}$	$10 = 55 - 45$	$11 = 5 - 4 + 5 + 5$	$12 = \sqrt{54 - 5} + 5$
$13 = \frac{55}{5} + \sqrt{4}$	$14 = \frac{45}{5} + 5$	$15 = \frac{55}{5} + 4$	$16 = 5 \cdot 5 - 4 - 5$
$17 = \sqrt{4} + 5 + 5 + 5$	$18 = 4! - \frac{5}{5} - 5$	$19 = 4 + 5 + 5 + 5$	$20 = 45 - 5 \cdot 5$
$21 = 45 - \frac{5!}{5}$	$22 = \frac{55 \cdot \sqrt{4}}{5}$	$23 = 55 - {\sqrt{4}}^{5}$	$24 = (\frac{45}{5} - 5)!$
$25 = \frac{55 - 5}{\sqrt{4}}$	$26 = 55 - 4! - 5$	$27 = \frac{5! - 5}{5} + 4$	$28 = 4! - \frac{5}{5} + 5$
$29 = 54 - 5 \cdot 5$	$30 = 54 - \frac{5!}{5}$	$31 = \frac{5!}{4} + \frac{5}{5}$	$32 = {\sqrt{5 - (5 - 4)}}^{5}$
$33 = \frac{45 + 5!}{5}$	$34 = 5 \cdot 5 + 4 + 5$	$35 = 45 - 5 - 5$	$36 = 55 - 4! + 5$
$37 = {\sqrt{4}}^{\sqrt{5 \cdot 5}} + 5$	$38 = (\frac{5!}{5} - 5) \cdot \sqrt{4}$	$39 = 4! + 5 + 5 + 5$	$40 = 45 - \sqrt{5 \cdot 5}$
$41 = 5! - (55 + 4!)$	$42 = {\sqrt{4}}^{5} + 5 + 5$	$43 = 55 - \sqrt{4! + 5!}$	$44 = 45 - \frac{5}{5}$
$45 = \frac{45}{5} \cdot 5$	$46 = \frac{5}{5} + 45$	$47 = \frac{\sqrt{4} \cdot 5! - 5}{5}$	$48 = 55 - \sqrt{4} - 5$
$49 = 54 - \sqrt{5 \cdot 5}$	$50 = \sqrt{5 \cdot 5} + 45$	$51 = ?$	$52 = 55 + \sqrt{4} - 5$
$53 = 54 - \frac{5}{5}$	$54 = 54 - 5 + 5$	$55 = 45 + 5 + 5$	$56 = 55 - 4 + 5$
$57 = {\sqrt{4}}^{5} + 5 \cdot 5$	$58 = 55 - \sqrt{4} + 5$	$59 = \sqrt{5 \cdot 5} + 54$	$60 = (5 + 5 + 5) \cdot 4$
$61 = 5! - (54 + 5)$	$62 = 55 + \sqrt{4} + 5$	$63 = 5! - (55 + \sqrt{4})$	$64 = 54 + 5 + 5$
$65 = \sqrt{4} \cdot 5 + 55$	$66 = \sqrt{5 \cdot 5}! - 54$	$67 = 5! - (55 - \sqrt{4})$	$68 = ?$
$69 = \frac{5!}{5} + 45$	$70 = 5 \cdot 5 + 45$	$71 = 5! - (54 - 5)$	$72 = \frac{(5 - \sqrt{4}) \cdot 5!}{5}$
$73 = ?$	$74 = 55 + 4! - 5$	$75 = 4 \cdot 5 + 55$	$76 = (\frac{5!}{5} - 5) \cdot 4$
$77 = ?$	$78 = \frac{5!}{5} + 54$	$79 = 5 \cdot 5 + 54$	$80 = 5! - (45 - 5)$
$81 = ?$	$82 = ?$	$83 = 5! - ({\sqrt{4}}^{5} + 5)$	$84 = 55 + 4! + 5$
$85 = \frac{5!}{4} + 55$	$86 = 5! - (4! + 5 + 5)$	$87 = {\sqrt{4}}^{5} + 55$	$88 = 5! - {\sqrt{4}}^{\sqrt{5 \cdot 5}}$
$89 = 5! - (55 - 4!)$	$90 = (4 + 5) \cdot (5 + 5)$	$91 = \frac{455}{5}$	$92 = \frac{(5! - 5) \cdot 4}{5}$
$93 = 5! - ({\sqrt{4}}^{5} - 5)$	$94 = 5! - (\frac{5!}{5} + \sqrt{4})$	$95 = 4 \cdot 5 \cdot 5 - 5$	$96 = (5 - \frac{5}{5}) \cdot 4!$
$97 = \frac{4 \cdot 5! + 5}{5}$	$98 = 5! - (\frac{5!}{5} - \sqrt{4})$	$99 = 5! - (5 \cdot 5 - 4)$	$100 = 45 + 55$