Cody

# Problem 1646. Kurchan 3x3 - Optimal Score

Solution 496783

Submitted on 6 Sep 2014 by rifat
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### Test Suite

Test Status Code Input and Output
1   Pass
%% tic m = kurchan_3x3 toc p=[1 4 7 2 5 8 3 6 9 1 2 3 4 5 6 7 8 9 1 5 9 4 8 3 7 2 6 7 5 3 8 6 1 9 4 2]; assert(isequal((1:9)',unique(m(:)))) % check use 1 thru 9 mp=prod(m(p),2); K=max(mp)-min(mp) % display K score % simplified Kurchan scoring for 3x3 assert(K<=198) % Pretty certain 198 is best possible, allow better score

m = 6 2 1 7 8 4 3 9 5 m = 7 5 3 8 4 1 2 9 6 m = 8 6 5 9 7 4 3 2 1 m = 6 8 2 7 1 9 3 4 5 m = 9 3 7 1 6 5 2 8 4 m = 8 5 9 2 1 4 3 6 7 m = 4 9 8 1 5 6 3 7 2 m = 6 7 1 2 5 4 9 3 8 m = 9 2 1 5 4 6 3 7 8 m = 9 2 4 5 8 7 1 3 6 m = 7 2 3 9 6 1 4 5 8 m = 6 3 8 2 9 7 5 4 1 m = 7 2 9 3 4 8 5 1 6 m = 7 3 9 8 4 1 6 2 5 m = 7 1 2 4 5 3 9 6 8 m = 2 3 9 4 1 5 6 8 7 m = 9 3 1 7 2 5 6 4 8 m = 6 2 1 8 9 3 5 4 7 m = 5 3 4 7 8 6 2 1 9 m = 9 8 5 7 1 4 6 2 3 m = 6 8 3 9 4 1 2 5 7 m = 6 7 2 3 8 1 4 5 9 m = 4 1 7 2 3 6 5 8 9 m = 8 3 4 5 2 1 7 6 9 m = 3 5 6 9 7 8 4 2 1 m = 9 3 8 6 4 1 2 7 5 m = 6 4 3 5 1 7 8 2 9 m = 3 1 2 5 4 8 7 6 9 m = 4 2 6 9 3 5 8 7 1 m = 1 7 9 2 5 4 8 3 6 m = 7 8 6 2 1 5 4 3 9 m = 4 7 1 2 8 6 3 5 9 m = 3 6 5 8 9 2 1 4 7 m = 9 6 4 7 1 2 8 3 5 m = 5 1 4 3 2 8 9 6 7 m = 3 1 5 2 6 9 8 4 7 m = 9 6 7 4 1 2 8 3 5 m = 6 1 9 3 2 7 5 8 4 m = 9 2 3 8 7 4 1 6 5 m = 1 5 3 4 9 2 8 7 6 m = 5 1 9 7 4 2 6 3 8 m = 6 1 4 5 2 3 8 7 9 m = 3 7 9 1 2 5 8 4 6 m = 9 6 2 1 5 8 7 3 4 m = 8 6 2 4 1 9 3 5 7 m = 8 4 6 5 3 7 9 2 1 m = 8 4 7 9 6 1 5 2 3 m = 5 8 6 9 2 1 7 4 3 m = 4 5 8 1 3 9 7 2 6 m = 6 5 2 8 1 9 7 3 4 m = 6 7 2 4 9 1 3 5 8 m = 2 5 4 9 3 8 1 7 6 m = 3 4 8 7 1 5 2 9 6 m = 9 4 2 5 1 8 3 6 7 m = 5 2 9 7 1 4 3 8 6 m = 8 6 1 2 5 3 7 9 4 m = 3 6 7 8 1 9 4 5 2 m = 4 5 8 2 9 6 1 3 7 m = 5 1 3 4 2 9 6 7 8 m = 1 4 3 5 2 6 9 8 7 m = 4 8 3 1 7 5 6 9 2 m = 3 2 4 1 7 9 8 6 5 m = 1 2 3 5 8 7 9 6 4 m = 9 7 3 2 5 4 6 1 8 m = 9 6 2 7 1 3 5 8 4 m = 7 6 4 2 1 5 9 8 3 m = 7 1 4 3 9 5 6 2 8 m = 3 1 6 2 5 7 9 4 8 m = 2 3 9 4 5 7 8 1 6 m = 1 7 9 4 8 5 3 6 2 m = 7 5 8 2 9 3 6 4 1 m = 4 5 2 1 6 9 8 7 3 m = 5 1 3 7 2 8 6 4 9 m = 9 8 1 3 4 6 2 7 5 m = 2 7 5 1 8 4 6 9 3 m = 6 7 4 1 3 9 2 8 5 m = 9 3 7 4 5 2 8 6 1 m = 6 4 1 9 7 8 3 5 2 m = 4 1 9 6 8 7 5 3 2 m = 4 8 7 1 9 5 6 3 2 m = 6 3 1 7 9 2 5 8 4 m = 6 2 3 1 8 7 5 9 4 m = 3 5 1 9 4 2 7 8 6 m = 3 4 6 5 2 1 8 7 9 m = 5 4 1 6 7 9 8 3 2 m = 6 1 8 2 3 9 7 4 5 m = 1 8 7 5 6 2 9 3 4 m = 3 9 8 4 6 5 7 1 2 m = 7 3 1 9 2 5 8 6 4 m = 4 6 1 9 7 8 3 5 2 m = 1 9 8 6 2 4 5 3 7 m = 8 3 4 2 9 1 7 5 6 m = 1 5 9 8 3 2 4 7 6 m = 8 9 3 4 2 7 5 6 1 m = 7 5 3 2 1 8 4 9 6 m = 3 7 1 6 2 8 9 4 5 m = 5 3 7 9 2 4 8 6 1 m = 1 9 7 8 6 5 4 3 2 m = 5 9 6 3 1 8 4 2 7 m = 1 3 8 6 2 5 9 7 4 m = 2 3 9 1 8 6 4 7 5 m = 2 6 4 7 9 1 5 8 3 m = 1 2 7 8 3 4 9 6 5 m = 6 4 3 5 2 1 7 8 9 m = 4 2 1 6 8 5 3 7 9 m = 1 5 3 8 9 4 7 2 6 m = 8 2 3 1 4 6 7 5 9 m = 6 8 7 9 3 1 4 5 2 m = 8 9 5 6 1 4 2 7 3 m = 9 6 2 3 1 5 8 4 7 m = 3 4 7 9 1 6 8 2 5 m = 3 5 4 7 2 8 1 6 9 m = 4 3 8 5 9 7 6 1 2 m = 2 8 9 5 4 6 1 7 3 m = 2 5 4 3 8 7 9 1 6 m = 4 6 1 9 3 7 8 2 5 m = 4 9 2 7 3 1 8 5 6 m = 5 9 3 4 1 7 6 8 2 m = 8 6 3 7 5 4 9 2 1 m = 6 8 1 9 7 4 3 5 2 m = 7 2 1 9 3 6 8 5 4 m = 2 3 6 8 1 5 4 9 7 m = 8 9 5 4 1 2 6 3 7 m = 7 9 8 5 4 2 6 3 1 m = 3 4 8 7 1 2 6 5 9 m = 7 3 1 4 6 8 9 2 5 m = 1 4 6 7 2 8 9 5 3 m = 1 3 4 6 8 7 2 5 9 m = 4 8 2 3 9 7 6 1 5 m = 6 4 5 8 1 3 9 7 2 m = 3 7 5 6 8 2 1 9 4 m = 6 7 1 3 4 2 5 9 8 m = 6 4 2 1 7 9 5 3 8 m = 5 1 6 7 3 2 4 9 8 m = 3 2 9 4 8 6 5 7 1 m = 2 8 9 5 6 1 3 4 7 m = 1 9 6 4 3 2 5 8 7 m = 3 1 5 8 9 6 2 4 7 m = 3 7 8 2 4 5 9 1 6 m = 8 7 9 4 2 6 5 3 1 m = 2 6 9 1 3 4 7 5 8 m = 3 2 4 1 6 8 7 5 9 m = 1 9 2 4 5 8 6 7 3 m = 2 4 9 8 5 1 3 6 7 m = 6 4 5 2 9 1 8 3 7 m = 6 4 5 2 3 7 9 1 8 m = 8 6 7 2 3 1 5 9 4 m = 6 5 9 2 8 4 3 1 7 m = 9 1 4 3 8 7 6 5 2 m = 3 4 5 2 8 6 1 7 9 m = 9 6 4 8 1 3 7 2 5 m = 1 9 6 2 5 7 8 4 3 m = 2 3 6 7 5 1 9 8 4 m = 3 6 8 4 2 5 1 9 7 m = 8 5 4 9 3 6 2 1 7 m = 3 6 1 4 2 7 5 8 9 m = 3 9 5 2 1 7 6 8 4 m = 6 8 9 3 2 5 7 4 1 m = 7 5 8 3 1 4 2 6 9 m = 4 6 3 1 9 8 2 7 5 m = 3 9 8 6 1 5 7 4 2 m = 7 4 1 8 3 6 2 9 5 m = 2 5 9 7 3 1 6 4 8 m = 8 7 6 1 9 3 5 4 ...