Kakuro Puzzles

multiple chains ?

Here is my general approach - I won't be able to read comments for at least 4 hours, then possibly post additional details (unless someone found a simpler approach):

1. Identified lowest in one column (determines what 33A contains).

2. +c (One chain solved a cross in 39D/36D).

3. 'Counting method' of 'high cells' (rows vs. columns) was my break through for rest of puzzle.

P and chains

+p plus trials. Not very satisfying.

just plain brutal

4:26

After 21 minutes, I have a 'proof' that there is no solution --- and little inclination to go back and find my error.

-p-o. Not claiming nada because of two false starts. Finally realized that there is only room for one 4 in 39D and 36D, which tells you 36D must have a 1, and I is the only place it can be. Then the need for a second 5 in 39D/36D tells you the solution for 33A. Then various crosses help solve it.

Joe + 1. Finally solved it, after several chains.

+p+c+Count because I couldn't follow Mike's hints:
1. I<=3 (to solve its row). 33A contains 45789.
2. Chain proves 15D not 69 (solves 3 9s in bottom 3 rows, top 3 rows require 9s including 49 in 22A but can't have 2 9s in 31A).
3. Count 789s (rows vs. columns). Solve 22A, then rest of puzzle.

Nada,Good puzzle

The key is in the 36, 5+1 ior 4+2?

15:33

Too tough for me, 2021.