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Harry Potter Professors Logic Puzzle Walkthrough

Known houses of Professors Slytherin Snape Umbridge Slughorn Carrow Gryffindor Dumbledore McGonagall Moody Lupin Hagrid Ravenclaw Flitwick Quirrell Trelawney Lockhart Hufflepuff Sprout Professors included Alastor Moody Albus Dumbledore Amycus Carrow Argus Filch Armando Dippet Aurora Sinistra Charity Burbage Cuthbert Binns Dolores Umbridge Filius Flitwick Firenze Gilderoy Lockhart Horace Slughorn Irma Pince Minerva McGonagall Pomona Sprout Poppy Pomfrey Quirinus Quirrell Remus Lupin Rolanda Hooch Rubeus Hagrid Septima Vector Severus Snape Sybill Trelawney Wilhelmina Grubbly-Plank Walkthrough McGonagall tells us that column 1 is all female. We know that Quirrell, Lockhart, Lupin, Moody and Umbridge make up row A. As Umbridge is the only female then she has to be in A1. Umbridge tells us that McGonagall, Flitwick, Sprout and Snape all share a diagonal. McGonagall is already placed and only has one diagonal long enough;