Divide the grid into regions consisting of the 5 tetronimoes (i, l, o, s, t) which have totals of 15 - 19 respectively, and 12 pentominoes (F, I, L, N, P, T, U, V, W, X, Y, Z) which have totals of 21 - 32 respectively. Each polyomino consists of distinct values (i.e. normal Killer sudoku rules). Cells with letters indicate which polyomino they are part of, thick lines are boundaries between polyominoes, and the cell marked yellow is the only one not included in any polyomino.
Thanks to glum_hippo for the penpa link!
Solution code: Row 4, Column 6
on 28. August 2020, 20:46 by Gravatus
Rule clarification
on 12. August 2020, 15:13 by Gravatus
@RockyRoer glad you liked it! Perhaps I can work on the logic a bit more on my next one, so that it makes for a smoother solution path
on 12. August 2020, 15:03 by RockyRoer
I incorrectly thought "Once I get the polynomios placed, it will be a breeze." Nope -- part 2 of this puzzle was trickier than part 1! Nice puzzle again! Thanks for the help!
on 10. August 2020, 19:51 by glum_hippo
penpa-Link: https://git.io/JJDBu
on 10. August 2020, 19:28 by Gravatus
@henrypijames, yes i = 15, l = 16 etc.
on 10. August 2020, 19:10 by henrypijames
By "respectively", do you mean i=15, l=16, ... - or {i, l, o, s, t} = {15...19} as (mathematical) set?