Kakuro Puzzles

+o

+1

tried +p, had to use the orphans
somebody needs to try it w/out the orphans

Easy with possibilities and orphans.

5:51 +o Had to reset in the middle due to a botched entry so this time should probably be about 3 minutes slower.

Shabbir +1. No p. Couldn't get any traction without the orphans.

+p+o

-o is not easy.
first - try forcing a 1's cross into 23D and 27D (by putting 2's into the relevent 6D and 3D).
Now there's only one 2, which has to be in 23D, and it's fairly easy to see 27D gets too large and breaks.

So, no 1's cross and 27D=234567. All falls out after that. Hence +p -o, but +o is way easier of course.

(alternatively, if there is a 1's cross and a 2 shortage, then 27D=134568 and breaks)

Better explanation (since nobody comments!) - it's all in the 12's. And cells M and N.
NM can't both both 1's, then there are no ones available for 23D (check 17A possibilities).
NM can't be both 2's, else there's only one 2 and 1's cross in 23D and 27D, and 27D=134568; and then 17A can't be 17 (max possible is 5614=16).

So, NM=12; 23D gets the 1, and 27D=234567. Then easy ....

3:51

8:30