Kakuro Tutorial -- Challenging

The only valid combinations remaining for 7 in 2 are 1 and 6 or 2 and 5. After filling in the 5 and 6, we see that the only valid combinations remaining for 8 in 2 are 2 and 6 or 3 and 5.

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13
 
10
 
 
8
 
3
 
 
27
 
12
11
 
7
 
8
24
5
 
27
26
 
16
 
 
9
12
12
 
 
11
21
30
39
 
 
17
 
10
 
 
6
10
12
 
8
18
 
10
 
7
 
13
 
14