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The Seventy-Seventh William Lowell Putnam Mathematical 675 Competition Leonard F. Klosinski, Gerald L. Alexanderson, and Mark Krusemeyer On Gauss's First Proof of the Fundamental Theorem of 688 Algebra Soham Basu and Daniel J. Velleman Power-Sum Denominators 695 Bernd C. Kellner and Jonathan Sondow Distances in Domino Flip Graphs 710 Hugo Parlier and Samuel Zappa Rolling Curves: An Old Proof of the Roulette Lemma 723 Ulrich Abel, Linda Beukemann, and Vitaliy Kushnirevych NOTES On the Sum of Two Squares and At Most Two Powers of 2 737 David J. Platt and Timothy S. Trudgian The Three Gap Theorem and the Space of Lattices 741 Jens Marklof and Andreas Strömbergsson A One-to-One Popcorn Function 746 Zoltán Kánnai Minkowski Complexity of Sets: An Easy Lower Bound 749 Stasys Jukna PROBLEMS AND SOLUTIONS 754 REVIEWS Problems for Metagrobologists by David Singmaster 763 and One Hundred Prisoners and A Light Bulb by Hans van Ditmarsch and Barteld Kooi Peter Winkler MATHBIT 722, Linearly Independent Spanning Sets An Official Publication of the Mathematical Association of America monthly THE AMERICAN MATHEMATICAL VO LU M E 1 24, N O. 8 O C TO B E R 20 1 7

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