Answer 1:
Jewels Deluxe Puzzle 34
After contemplating the problem for
644 milliseconds, 740 microseconds, 944 nanoseconds
and trying 112031 jewel swaps
along 7893 distinct routes
I found 92 unique ways to solve this puzzle!
Using spreadsheet-style column letter/row number references,
the first shortest solution I found is:
1: D4 Down
2: F5 Down
3: E7 Up
4: C7 Right
5: F6 Down