My Table

0 = (4−4)+(4−4)(4-4)+(4-4)

1 = 44+(4−4)\frac{4}{4} + (4-4)

2 = 44+44\frac{4}{4} + \frac{4}{4}

3 = 4−(44−4)4-(4^{4-4})

4 = 4+((4−4).4)4+((4-4).4)

5 = 4+(44−4)4+(4^{4-4})

6 = (4−4)+(4+4)(4-4)+(4+\sqrt{4})

7 = 44+(4+4)\frac{4}{4}+(4+\sqrt{4})

8 = (4+4)+(4−4)(4+4)+(4-4)

9 = ??

10 = (4+4x4)−4(4+4x4)-\sqrt{4}

11 = ??

12 = ??

13 = ??

14 = 4+4+4+44+4+4+\sqrt{4}

15 = ??

16 = 4+4+4+44+4+4+4

17 = ??

18 = 4!−(4+4−4)4!-(4+4-\sqrt{4})

19 = 4!−(4+44)4!-(4+\frac{4}{4})

20 = ??