1234

$1 = 1^{\sqrt{324}}$	$2 = 3 - 1^{24}$	$3 = \sqrt{23 - 14}$	$4 = \frac{14}{2} - 3$
$5 = 12 - 3 - 4$	$6 = \frac{12}{4} + 3$	$7 = 31 - 24$	$8 = \sqrt{21 + 43}$
$9 = 23 - 14$	$10 = \frac{14}{2} + 3$	$11 = 24 - 13$	$12 = (4 - 3) \cdot 12$
$13 = 34 - 21$	$14 = (3 - 2) \cdot 14$	$15 = 13 - 2 + 4$	$16 = \frac{12}{3} \cdot 4$
$17 = \sqrt{324} - 1$	$18 = 32 - 14$	$19 = \sqrt{324} + 1$	$20 = 2 \cdot 3 + 14$
$21 = 2 \cdot 4 + 13$	$22 = 34 - 12$	$23 = 3^{2} + 14$	$24 = (12 - 4) \cdot 3$
$25 = 14 \cdot 2 - 3$	$26 = \frac{13 \cdot 4}{2}$	$27 = (\frac{12}{4})^{3}$	$28 = \frac{21}{3} \cdot 4$
$29 = 42 - 13$	$30 = 13 \cdot 2 + 4$	$31 = 43 - 12$	$32 = 12 \cdot 3 - 4$
$33 = \frac{132}{4}$	$34 = (13 + 4) \cdot 2$	$35 = 32 - 1 + 4$	$36 = (12 - 3) \cdot 4$
$37 = 13 + 24$	$38 = 42 - 1 - 3$	$39 = 2 \cdot 4 + 31$	$40 = 12 \cdot 3 + 4$
$41 = (3 - 2) \cdot 41$	$42 = 41 - 2 + 3$	$43 = 4^{3} - 21$	$44 = (13 - 2) \cdot 4$
$45 = 12 \cdot 4 - 3$	$46 = 12 + 34$	$47 = 2^{4} + 31$	$48 = (12 + 4) \cdot 3$
$49 = 2^{3} + 41$	$50 = 13 \cdot 4 - 2$	$51 = 12 \cdot 4 + 3$	$52 = 4^{3} - 12$
$53 = 31 - 2 + 4!$	$54 = 13 \cdot 4 + 2$	$55 = 12 + 43$	$56 = (3! - 2) \cdot 14$
$57 = (21 - \sqrt{4}) \cdot 3$	$58 = 31 \cdot 2 - 4$	$59 = 21 \cdot 3 - 4$	$60 = (12 + 3) \cdot 4$
$61 = 2 \cdot 4! + 13$	$62 = \frac{31 \cdot 4}{2}$	$63 = 32 \cdot \sqrt{4} - 1$	$64 = 21 + 43$
$65 = 21 \cdot 3 + \sqrt{4}$	$66 = \frac{132}{\sqrt{4}}$	$67 = \frac{134}{2}$	$68 = 34 \cdot 1 \cdot 2$
$69 = 3^{4} - 12$	$70 = (2 + 3) \cdot 14$	$71 = 24 \cdot 3 - 1$	$72 = (21 - 3) \cdot 4$
$73 = 31 + 42$	$74 = (13 + 4!) \cdot 2$	$75 = (21 + 4) \cdot 3$	$76 = 4^{3} + 12$
$77 = 3!^{2} + 41$	$78 = \frac{312}{4}$	$79 = 41 \cdot 2 - 3$	$80 = 3^{4} + 1 - 2$
$81 = (13 - 4)^{2}$	$82 = 14 \cdot 3! - 2$	$83 = (1 \cdot 3)^{4} + 2$	$84 = (3 + 4) \cdot 12$
$85 = 4^{3} + 21$	$86 = 43 \cdot 1 \cdot 2$	$87 = 21 \cdot 4 + 3$	$88 = (23 - 1) \cdot 4$
$89 = 2^{3!} + 1 + 4!$	$90 = 21 \cdot 4 + 3!$	$91 = 23 \cdot 4 - 1$	$92 = 23 \cdot 1 \cdot 4$
$93 = 3^{4} + 12$	$94 = (41 + 3!) \cdot 2$	$95 = 2^{4} \cdot 3! - 1$	$96 = (21 + 3) \cdot 4$
$97 = (1 + 4)! - 23$	$98 = (1 + 3) \cdot 4! + 2$	$99 = 123 - 4!$	$100 = (3^{2} + 1)^{\sqrt{4}}$