ZarankiewiczDB,

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Matrix for z(9,7 | 1,2)

111222
121212
122112
121221
11212
11122
11221

Found by the quotient matrix algorithm. $i$ indicates an X in subrow $i$.

(57.144461372 seconds, score = 39, 1401477 recursive calls, max depth = 39)

weight = 39, submitted by Andrew Kay on July 28th, 2016 (link, raw)