## On the Subject of Functions

I know exactly how to get 8 from 1 and 3!

Type “5,8478” and query and find the result in the following list. This tells you which function is in use.

1 | #10 | 2 | #19 | 483 | #4 | 808 | #28 | |||
---|---|---|---|---|---|---|---|---|---|---|

1010 | #27 | 23 | #31 | 5 | #3 | 809 | #29 | |||

11 | #36 | 29 | #20 | 51824171 | #38 | 823 | #2 | |||

123690 | #21 | 3 | #30 | 51824271 | #24 | 8473 | #37 | |||

135 | #18 | 390 | #17 | 6 | #7 | 8478 | #22 | |||

14383774 | #41 | 4 | #14 | 695 | #13 | 8483 | #39 | |||

16 | #11 | 40 | #34 | 7 | #0 | 84838473 | #12 | |||

1600 | #32 | 420 | #23 | 71876509 | #35 | 9 | #26 | |||

1695 | #40 | 42390 | #16 | 71961289 | #5 | 92 | #33 | |||

16951 | #8 | 430 | #1 | 8 | #6 | 94 | #25 | |||

sum of times each digit (45788) appears in serial number | #9 | number of lit indicators times 63 | #15 |

- Use additional queries to differentiate functions #9 and #15 from the others if necessary.
- Use the letter on the bottom row along with Table 2, finding an offset to apply to the function number, to find your final function. Wrap around as necessary.
- Submit the answer to the final function using the bottom displays as input.
**If the answer is empty, submit 0 instead.**