Cody

Problem 42918. Addition Partition

Solution 1050033

Submitted on 10 Nov 2016 by Binbin Qi
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.

Test Suite

Test Status Code Input and Output
1   Pass
N=5;K=3; assert(isequal(num_sum(N,K),5))

y = 0 0 5 0 1 4 0 2 3 0 3 2 0 4 1 0 5 0 1 1 3 1 2 2 1 3 1 1 4 0 2 2 1 2 3 0

2   Pass
N=7;K=4; assert(isequal(num_sum(N,K),11))

y = 0 0 0 7 0 0 1 6 0 0 2 5 0 0 3 4 0 0 4 3 0 0 5 2 0 0 6 1 0 0 7 0 0 1 1 5 0 1 2 4 0 1 3 3 0 1 4 2 0 1 5 1 0 1 6 0 0 2 2 3 0 2 3 2 0 2 4 1 0 2 5 0 0 3 3 1 0 3 4 0 1 1 1 4 1 1 2 3 1 1 3 2 1 1 4 1 1 1 5 0 1 2 2 2 1 2 3 1 1 2 4 0 1 3 3 0 2 2 2 1 2 2 3 0

3   Pass
N=7;K=3; assert(isequal(num_sum(N,K),8))

y = 0 0 7 0 1 6 0 2 5 0 3 4 0 4 3 0 5 2 0 6 1 0 7 0 1 1 5 1 2 4 1 3 3 1 4 2 1 5 1 1 6 0 2 2 3 2 3 2 2 4 1 2 5 0 3 3 1 3 4 0

4   Pass
N=15;K=6; assert(isequal(num_sum(N,K),110))

y = 0 0 0 0 0 15 0 0 0 0 1 14 0 0 0 0 2 13 0 0 0 0 3 12 0 0 0 0 4 11 0 0 0 0 5 10 0 0 0 0 6 9 0 0 0 0 7 8 0 0 0 0 8 7 0 0 0 0 9 6 0 0 0 0 10 5 0 0 0 0 11 4 0 0 0 0 12 3 0 0 0 0 13 2 0 0 0 0 14 1 0 0 0 0 15 0 0 0 0 1 1 13 0 0 0 1 2 12 0 0 0 1 3 11 0 0 0 1 4 10 0 0 0 1 5 9 0 0 0 1 6 8 0 0 0 1 7 7 0 0 0 1 8 6 0 0 0 1 9 5 0 0 0 1 10 4 0 0 0 1 11 3 0 0 0 1 12 2 0 0 0 1 13 1 0 0 0 1 14 0 0 0 0 2 2 11 0 0 0 2 3 10 0 0 0 2 4 9 0 0 0 2 5 8 0 0 0 2 6 7 0 0 0 2 7 6 0 0 0 2 8 5 0 0 0 2 9 4 0 0 0 2 10 3 0 0 0 2 11 2 0 0 0 2 12 1 0 0 0 2 13 0 0 0 0 3 3 9 0 0 0 3 4 8 0 0 0 3 5 7 0 0 0 3 6 6 0 0 0 3 7 5 0 0 0 3 8 4 0 0 0 3 9 3 0 0 0 3 10 2 0 0 0 3 11 1 0 0 0 3 12 0 0 0 0 4 4 7 0 0 0 4 5 6 0 0 0 4 6 5 0 0 0 4 7 4 0 0 0 4 8 3 0 0 0 4 9 2 0 0 0 4 10 1 0 0 0 4 11 0 0 0 0 5 5 5 0 0 0 5 6 4 0 0 0 5 7 3 0 0 0 5 8 2 0 0 0 5 9 1 0 0 0 5 10 0 0 0 0 6 6 3 0 0 0 6 7 2 0 0 0 6 8 1 0 0 0 6 9 0 0 0 0 7 7 1 0 0 0 7 8 0 0 0 1 1 1 12 0 0 1 1 2 11 0 0 1 1 3 10 0 0 1 1 4 9 0 0 1 1 5 8 0 0 1 1 6 7 0 0 1 1 7 6 0 0 1 1 8 5 0 0 1 1 9 4 0 0 1 1 10 3 0 0 1 1 11 2 0 0 1 1 12 1 0 0 1 1 13 0 0 0 1 2 2 10 0 0 1 2 3 9 0 0 1 2 4 8 0 0 1 2 5 7 0 0 1 2 6 6 0 0 1 2 7 5 0 0 1 2 8 4 0 0 1 2 9 3 0 0 1 2 10 2 0 0 1 2 11 1 0 0 1 2 12 0 0 0 1 3 3 8 0 0 1 3 4 7 0 0 1 3 5 6 0 0 1 3 6 5 0 0 1 3 7 4 0 0 1 3 8 3 0 0 1 3 9 2 0 0 1 3 10 1 0 0 1 3 11 0 0 0 1 4 4 6 0 0 1 4 5 5 0 0 1 4 6 4 0 0 1 4 7 3 0 0 1 4 8 2 0 0 1 4 9 1 0 0 1 4 10 0 0 0 1 5 5 4 0 0 1 5 6 3 0 0 1 5 7 2 0 0 1 5 8 1 0 0 1 5 9 0 0 0 1 6 6 2 0 0 1 6 7 1 0 0 1 6 8 0 0 0 1 7 7 0 0 0 2 2 2 9 0 0 2 2 3 8 0 0 2 2 4 7 0 0 2 2 5 6 0 0 2 2 6 5 0 0 2 2 7 4 0 0 2 2 8 3 0 0 2 2 9 2 0 0 2 2 10 1 0 0 2 2 11 0 0 0 2 3 3 7 0 0 2 3 4 6 0 0 2 3 5 5 0 0 2 3 6 4 0 0 2 3 7 3 0 0 2 3 8 2 0 0 2 3 9 1 0 0 2 3 10 0 0 0 2 4 4 5 0 0 2 4 5 4 0 0 2 4 6 3 0 0 2 4 7 2 0 0 2 4 8 1 0 0 2 4 9 0 0 0 2 5 5 3 0 0 2 5 6 2 0 0 2 5 7 1 0 0 2 5 8 0 0 0 2 6 6 1 0 0 2 6 7 0 0 0 3 3 3 6 0 0 3 3 4 5 0 0 3 3 5 4 0 0 3 3 6 3 0 0 3 3 7 2 0 0 3 3 8 1 0 0 3 3 9 0 0 0 3 4 4 4 0 0 3 4 5 3 0 0 3 4 6 2 0 0 3 4 7 1 0 0 3 4 8 0 0 0 3 5 5 2 0 0 3 5 6 1 0 0 3 5 7 0 0 0 3 6 6 0 0 0 4 4 4 3 0 0 4 4 5 2 0 0 4 4 6 1 0 0 4 4 7 0 0 0 4 5 5 1 0 0 4 5 6 0 0 0 5 5 5 0 0 1 1 1 1 11 0 1 1 1 2 10 0 1 1 1 3 9 0 1 1 1 4 8 0 1 1 1 5 7 0 1 1 1 6 6 0 1 1 1 7 5 0 1 1 1 8 4 0 1 1 1 9 3 0 1 1 1 10 2 0 1 1 1 11 1 0 1 1 1 12 0 0 1 1 2 2 9 0 1 1 2 3 8 0 1 1 2 4 7 0 1 1 2 5 6 0 1 1 2 6 5 0 1 1 2 7 4 0 1 1 2 8 3 0 1 1 2 9 2 0 1 1 2 10 1 0 1 1 2 11 0 0 1 1 3 3 7 0 1 1 3 4 6 0 1 1 3 5 5 0 1 1 3 6 4 0 1 1 3 7 3 0 1 1 3 8 2 0 1 1 3 9 1 0 1 1 3 10 0 0 1 1 4 4 5 0 1 1 4 5 4 0 1 1 4 6 3 0 1 1 4 7 2 0 1 1 4 8 1 0 1 1 4 9 0 0 1 1 5 5 3 0 1 1 5 6 2 0 1 1 5 7 1 0 1 1 5 8 0 0 1 1 6 6 1 0 1 1 6 7 0 0 1 2 2 2 8 0 1 2 2 3 7 0 1 2 2 4 6 0 1 2 2 5 5 0 1 2 2 6 4 0 1 2 2 7 3 0 1 2 2 8 2 0 1 2 2 9 1 0 1 2 2 10 0 0 1 2 3 3 6 0 1 2 3 4 5 0 1 2 3 5 4 0 1 2 3 6 3 0 1 2 3 7 2 0 1 2 3 8 1 0 1 2 3 9 0 0 1 2 4 4 4 0 1 2 4 5 3 0 1 2 4 6 2 0 1 2 4 7 1 0 1 2 4 8 0 0 1 2 5 5 2 0 1 2 5 6 1 0 1 2 5 7 0 0 1 2 6 6 0 0 1 3 3 3 5 0 1 3 3 4 4 0 1 3 3 5 3 0 1 3 3 6 2 0 1 3 3 7 1 0 1 3 3 8 0 0 1 3 4 4 3 0 1 3 4 5 2 0 1 3 4 6 1 0 1 3 4 7 0 0 1 3 5 5 1 0 1 3 5 6 0 0 1 4 4 4 2 0 1 4 4 5 1 0 1 4 4 6 0 0 1 4 5 5 0 0 2 2 2 2 7 0 2 2 2 3 6 0 2 2 2 4 5 0 2 2 2 5 4 0 2 2 2 6 3 0 2 2 2 7 2 0 2 2 2 8 1 0 2 2 2 9 0 0 2 2 3 3 5 0 2 2 3 4 4 0 2 2 3 5 3 0 2 2 3 6 2 0 2 2 3 7 1 ...

5   Pass
N=20;K=4; assert(isequal(num_sum(N,K),108))

y = 0 0 0 20 0 0 1 19 0 0 2 18 0 0 3 17 0 0 4 16 0 0 5 15 0 0 6 14 0 0 7 13 0 0 8 12 0 0 9 11 0 0 10 10 0 0 11 9 0 0 12 8 0 0 13 7 0 0 14 6 0 0 15 5 0 0 16 4 0 0 17 3 0 0 18 2 0 0 19 1 0 0 20 0 0 1 1 18 0 1 2 17 0 1 3 16 0 1 4 15 0 1 5 14 0 1 6 13 0 1 7 12 0 1 8 11 0 1 9 10 0 1 10 9 0 1 11 8 0 1 12 7 0 1 13 6 0 1 14 5 0 1 15 4 0 1 16 3 0 1 17 2 0 1 18 1 0 1 19 0 0 2 2 16 0 2 3 15 0 2 4 14 0 2 5 13 0 2 6 12 0 2 7 11 0 2 8 10 0 2 9 9 0 2 10 8 0 2 11 7 0 2 12 6 0 2 13 5 0 2 14 4 0 2 15 3 0 2 16 2 0 2 17 1 0 2 18 0 0 3 3 14 0 3 4 13 0 3 5 12 0 3 6 11 0 3 7 10 0 3 8 9 0 3 9 8 0 3 10 7 0 3 11 6 0 3 12 5 0 3 13 4 0 3 14 3 0 3 15 2 0 3 16 1 0 3 17 0 0 4 4 12 0 4 5 11 0 4 6 10 0 4 7 9 0 4 8 8 0 4 9 7 0 4 10 6 0 4 11 5 0 4 12 4 0 4 13 3 0 4 14 2 0 4 15 1 0 4 16 0 0 5 5 10 0 5 6 9 0 5 7 8 0 5 8 7 0 5 9 6 0 5 10 5 0 5 11 4 0 5 12 3 0 5 13 2 0 5 14 1 0 5 15 0 0 6 6 8 0 6 7 7 0 6 8 6 0 6 9 5 0 6 10 4 0 6 11 3 0 6 12 2 0 6 13 1 0 6 14 0 0 7 7 6 0 7 8 5 0 7 9 4 0 7 10 3 0 7 11 2 0 7 12 1 0 7 13 0 0 8 8 4 0 8 9 3 0 8 10 2 0 8 11 1 0 8 12 0 0 9 9 2 0 9 10 1 0 9 11 0 0 10 10 0 1 1 1 17 1 1 2 16 1 1 3 15 1 1 4 14 1 1 5 13 1 1 6 12 1 1 7 11 1 1 8 10 1 1 9 9 1 1 10 8 1 1 11 7 1 1 12 6 1 1 13 5 1 1 14 4 1 1 15 3 1 1 16 2 1 1 17 1 1 1 18 0 1 2 2 15 1 2 3 14 1 2 4 13 1 2 5 12 1 2 6 11 1 2 7 10 1 2 8 9 1 2 9 8 1 2 10 7 1 2 11 6 1 2 12 5 1 2 13 4 1 2 14 3 1 2 15 2 1 2 16 1 1 2 17 0 1 3 3 13 1 3 4 12 1 3 5 11 1 3 6 10 1 3 7 9 1 3 8 8 1 3 9 7 1 3 10 6 1 3 11 5 1 3 12 4 1 3 13 3 1 3 14 2 1 3 15 1 1 3 16 0 1 4 4 11 1 4 5 10 1 4 6 9 1 4 7 8 1 4 8 7 1 4 9 6 1 4 10 5 1 4 11 4 1 4 12 3 1 4 13 2 1 4 14 1 1 4 15 0 1 5 5 9 1 5 6 8 1 5 7 7 1 5 8 6 1 5 9 5 1 5 10 4 1 5 11 3 1 5 12 2 1 5 13 1 1 5 14 0 1 6 6 7 1 6 7 6 1 6 8 5 1 6 9 4 1 6 10 3 1 6 11 2 1 6 12 1 1 6 13 0 1 7 7 5 1 7 8 4 1 7 9 3 1 7 10 2 1 7 11 1 1 7 12 0 1 8 8 3 1 8 9 2 1 8 10 1 1 8 11 0 1 9 9 1 1 9 10 0 2 2 2 14 2 2 3 13 2 2 4 12 2 2 5 11 2 2 6 10 2 2 7 9 2 2 8 8 2 2 9 7 2 2 10 6 2 2 11 5 2 2 12 4 2 2 13 3 2 2 14 2 2 2 15 1 2 2 16 0 2 3 3 12 2 3 4 11 2 3 5 10 2 3 6 9 2 3 7 8 2 3 8 7 2 3 9 6 2 3 10 5 2 3 11 4 2 3 12 3 2 3 13 2 2 3 14 1 2 3 15 0 2 4 4 10 2 4 5 9 2 4 6 8 2 4 7 7 2 4 8 6 2 4 9 5 2 4 10 4 2 4 11 3 2 4 12 2 2 4 13 1 2 4 14 0 2 5 5 8 2 5 6 7 2 5 7 6 2 5 8 5 2 5 9 4 2 5 10 3 2 5 11 2 2 5 12 1 2 5 13 0 2 6 6 6 2 6 7 5 2 6 8 4 2 6 9 3 2 6 10 2 2 6 11 1 2 6 12 0 2 7 7 4 2 7 8 3 2 7 9 2 2 7 10 1 2 7 11 0 2 8 8 2 2 8 9 1 2 8 10 0 2 9 9 0 3 3 3 11 3 3 4 10 3 3 5 9 3 3 6 8 3 3 7 7 3 3 8 6 3 3 9 5 3 3 10 4 3 3 11 3 3 3 12 2 3 3 13 1 3 3 14 0 3 4 4 9 3 4 5 8 3 4 6 7 3 4 7 6 3 4 8 5 3 4 9 4 3 4 10 3 3 4 11 2 3 4 12 1 3 4 13 0 3 5 5 7 3 5 6 6 3 5 7 5 3 5 8 4 3 5 9 3 3 5 10 2 3 5 11 1 3 5 12 0 3 6 6 5 3 6 7 4 3 6 8 3 3 6 9 2 3 6 10 1 3 6 11 0 3 7 7 3 3 7 8 2 3 7 9 1 3 7 10 0 3 8 8 1 3 8 9 0 4 4 4 8 4 4 5 7 4 4 6 6 4 4 7 5 4 4 8 4 4 4 9 3 4 4 10 2 4 4 11 1 4 4 12 0 4 5 5 6 4 5 6 5 4 5 7 4 4 5 8 3 4 5 9 2 4 5 10 1 4 5 11 0 4 6 6 4 4 6 7 3 4 6 8 2 4 6 9 1 4 6 10 0 4 7 7 2 4 7 8 1 4 7 9 0 4 8 8 0 5 5 5 5 5 5 6 4 5 5 7 3 5 5 8 2 5 5 9 1 5 5 10 0 5 6 6 3 5 6 7 2 5 6 8 1 5 6 9 0 5 7 7 1 5 7 8 0 6 6 6 2 6 6 7 1 6 6 8 0 6 7 7 0

6   Pass
N=12;K=9; assert(isequal(num_sum(N,K),73))

y = 0 0 0 0 0 0 0 0 12 0 0 0 0 0 0 0 1 11 0 0 0 0 0 0 0 2 10 0 0 0 0 0 0 0 3 9 0 0 0 0 0 0 0 4 8 0 0 0 0 0 0 0 5 7 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 0 7 5 0 0 0 0 0 0 0 8 4 0 0 0 0 0 0 0 9 3 0 0 0 0 0 0 0 10 2 0 0 0 0 0 0 0 11 1 0 0 0 0 0 0 0 12 0 0 0 0 0 0 0 1 1 10 0 0 0 0 0 0 1 2 9 0 0 0 0 0 0 1 3 8 0 0 0 0 0 0 1 4 7 0 0 0 0 0 0 1 5 6 0 0 0 0 0 0 1 6 5 0 0 0 0 0 0 1 7 4 0 0 0 0 0 0 1 8 3 0 0 0 0 0 0 1 9 2 0 0 0 0 0 0 1 10 1 0 0 0 0 0 0 1 11 0 0 0 0 0 0 0 2 2 8 0 0 0 0 0 0 2 3 7 0 0 0 0 0 0 2 4 6 0 0 0 0 0 0 2 5 5 0 0 0 0 0 0 2 6 4 0 0 0 0 0 0 2 7 3 0 0 0 0 0 0 2 8 2 0 0 0 0 0 0 2 9 1 0 0 0 0 0 0 2 10 0 0 0 0 0 0 0 3 3 6 0 0 0 0 0 0 3 4 5 0 0 0 0 0 0 3 5 4 0 0 0 0 0 0 3 6 3 0 0 0 0 0 0 3 7 2 0 0 0 0 0 0 3 8 1 0 0 0 0 0 0 3 9 0 0 0 0 0 0 0 4 4 4 0 0 0 0 0 0 4 5 3 0 0 0 0 0 0 4 6 2 0 0 0 0 0 0 4 7 1 0 0 0 0 0 0 4 8 0 0 0 0 0 0 0 5 5 2 0 0 0 0 0 0 5 6 1 0 0 0 0 0 0 5 7 0 0 0 0 0 0 0 6 6 0 0 0 0 0 0 1 1 1 9 0 0 0 0 0 1 1 2 8 0 0 0 0 0 1 1 3 7 0 0 0 0 0 1 1 4 6 0 0 0 0 0 1 1 5 5 0 0 0 0 0 1 1 6 4 0 0 0 0 0 1 1 7 3 0 0 0 0 0 1 1 8 2 0 0 0 0 0 1 1 9 1 0 0 0 0 0 1 1 10 0 0 0 0 0 0 1 2 2 7 0 0 0 0 0 1 2 3 6 0 0 0 0 0 1 2 4 5 0 0 0 0 0 1 2 5 4 0 0 0 0 0 1 2 6 3 0 0 0 0 0 1 2 7 2 0 0 0 0 0 1 2 8 1 0 0 0 0 0 1 2 9 0 0 0 0 0 0 1 3 3 5 0 0 0 0 0 1 3 4 4 0 0 0 0 0 1 3 5 3 0 0 0 0 0 1 3 6 2 0 0 0 0 0 1 3 7 1 0 0 0 0 0 1 3 8 0 0 0 0 0 0 1 4 4 3 0 0 0 0 0 1 4 5 2 0 0 0 0 0 1 4 6 1 0 0 0 0 0 1 4 7 0 0 0 0 0 0 1 5 5 1 0 0 0 0 0 1 5 6 0 0 0 0 0 0 2 2 2 6 0 0 0 0 0 2 2 3 5 0 0 0 0 0 2 2 4 4 0 0 0 0 0 2 2 5 3 0 0 0 0 0 2 2 6 2 0 0 0 0 0 2 2 7 1 0 0 0 0 0 2 2 8 0 0 0 0 0 0 2 3 3 4 0 0 0 0 0 2 3 4 3 0 0 0 0 0 2 3 5 2 0 0 0 0 0 2 3 6 1 0 0 0 0 0 2 3 7 0 0 0 0 0 0 2 4 4 2 0 0 0 0 0 2 4 5 1 0 0 0 0 0 2 4 6 0 0 0 0 0 0 2 5 5 0 0 0 0 0 0 3 3 3 3 0 0 0 0 0 3 3 4 2 0 0 0 0 0 3 3 5 1 0 0 0 0 0 3 3 6 0 0 0 0 0 0 3 4 4 1 0 0 0 0 0 3 4 5 0 0 0 0 0 0 4 4 4 0 0 0 0 0 1 1 1 1 8 0 0 0 0 1 1 1 2 7 0 0 0 0 1 1 1 3 6 0 0 0 0 1 1 1 4 5 0 0 0 0 1 1 1 5 4 0 0 0 0 1 1 1 6 3 0 0 0 0 1 1 1 7 2 0 0 0 0 1 1 1 8 1 0 0 0 0 1 1 1 9 0 0 0 0 0 1 1 2 2 6 0 0 0 0 1 1 2 3 5 0 0 0 0 1 1 2 4 4 0 0 0 0 1 1 2 5 3 0 0 0 0 1 1 2 6 2 0 0 0 0 1 1 2 7 1 0 0 0 0 1 1 2 8 0 0 0 0 0 1 1 3 3 4 0 0 0 0 1 1 3 4 3 0 0 0 0 1 1 3 5 2 0 0 0 0 1 1 3 6 1 0 0 0 0 1 1 3 7 0 0 0 0 0 1 1 4 4 2 0 0 0 0 1 1 4 5 1 0 0 0 0 1 1 4 6 0 0 0 0 0 1 1 5 5 0 0 0 0 0 1 2 2 2 5 0 0 0 0 1 2 2 3 4 0 0 0 0 1 2 2 4 3 0 0 0 0 1 2 2 5 2 0 0 0 0 1 2 2 6 1 0 0 0 0 1 2 2 7 0 0 0 0 0 1 2 3 3 3 0 0 0 0 1 2 3 4 2 0 0 0 0 1 2 3 5 1 0 0 0 0 1 2 3 6 0 0 0 0 0 1 2 4 4 1 0 0 0 0 1 2 4 5 0 0 0 0 0 1 3 3 3 2 0 0 0 0 1 3 3 4 1 0 0 0 0 1 3 3 5 0 0 0 0 0 1 3 4 4 0 0 0 0 0 2 2 2 2 4 0 0 0 0 2 2 2 3 3 0 0 0 0 2 2 2 4 2 0 0 0 0 2 2 2 5 1 0 0 0 0 2 2 2 6 0 0 0 0 0 2 2 3 3 2 0 0 0 0 2 2 3 4 1 0 0 0 0 2 2 3 5 0 0 0 0 0 2 2 4 4 0 0 0 0 0 2 3 3 3 1 0 0 0 0 2 3 3 4 0 0 0 0 0 3 3 3 3 0 0 0 0 1 1 1 1 1 7 0 0 0 1 1 1 1 2 6 0 0 0 1 1 1 1 3 5 0 0 0 1 1 1 1 4 4 0 0 0 1 1 1 1 5 3 0 0 0 1 1 1 1 6 2 0 0 0 1 1 1 1 7 1 0 0 0 1 1 1 1 8 0 0 0 0 1 1 1 2 2 5 0 0 0 1 1 1 2 3 4 0 0 0 1 1 1 2 4 3 0 0 0 1 1 1 2 5 2 0 0 0 1 1 1 2 6 1 0 0 0 1 1 1 2 7 0 0 0 0 1 1 1 3 3 3 0 0 0 1 1 1 3 4 2 0 0 0 1 1 1 3 5 1 0 0 0 1 1 1 3 6 0 0 0 0 1 1 1 4 4 1 0 0 0 1 1 1 4 5 0 0 0 0 1 1 2 2 2 4 0 0 0 1 1 2 2 3 3 0 0 0 1 1 2 2 4 2 0 0 0 1 1 2 2 5 1 0 0 0 1 1 2 2 6 0 0 0 0 1 1 2 3 3 2 0 0 0 1 1 2 ...

7   Pass
N=13;K=3; assert(isequal(num_sum(N,K),21))

y = 0 0 13 0 1 12 0 2 11 0 3 10 0 4 9 0 5 8 0 6 7 0 7 6 0 8 5 0 9 4 0 10 3 0 11 2 0 12 1 0 13 0 1 1 11 1 2 10 1 3 9 1 4 8 1 5 7 1 6 6 1 7 5 1 8 4 1 9 3 1 10 2 1 11 1 1 12 0 2 2 9 2 3 8 2 4 7 2 5 6 2 6 5 2 7 4 2 8 3 2 9 2 2 10 1 2 11 0 3 3 7 3 4 6 3 5 5 3 6 4 3 7 3 3 8 2 3 9 1 3 10 0 4 4 5 4 5 4 4 6 3 4 7 2 4 8 1 4 9 0 5 5 3 5 6 2 5 7 1 5 8 0 6 6 1 6 7 0

8   Pass
N=12;K=2; assert(isequal(num_sum(N,K),7))

y = 0 12 1 11 2 10 3 9 4 8 5 7 6 6 7 5 8 4 9 3 10 2 11 1 12 0

9   Pass
N=15;K=2; assert(isequal(num_sum(N,K),8))

y = 0 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 8 7 9 6 10 5 11 4 12 3 13 2 14 1 15 0

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