A somewhat original fantasy book (in French), by Jean-Luc Deparis, found by chance on a shelf of La Case à Bulles bookstore in Cayenne, with a nice if traditional cover, a first half I enormously enjoyed and read within a day!. and a second one less appealing to my tastes and which took me longer […]
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Sandremonde [book review]
January 15, 2022Le Monde puzzle [#1164]
November 16, 2020The weekly puzzle from Le Monde is quite similar to older Diophantine episodes (I find myself impossible to point out): Give the maximum integer that cannot be written as 105x+30y+14z. Same question for 105x+70y+42z+30w. These are indeed Diophantine equations and the existence of a solution is linked with Bézout’s Lemma. Take the first equation. Since […]
Le Monde puzzle [#1158]
November 10, 2020A weekly puzzle from Le Monde on umbrella sharing: Four friends, Antsa, Cyprien, Domoina and Fy, are leaving school to return to their common housing. It is raining and they only have one umbrella with only room for two. Given walking times, x¹, x², x³ and x⁴, find the fastest time by which all of […]
Le Monde puzzle [#1159]
October 6, 2020The weekly puzzle from Le Monde is quite similar to #1157: Is it possible to break the ten first integers, 1,…,10, into two groups such that the sum over the first group is equal to the product over the second? Is it possible that the second group is of cardinal 4? of cardinal 3? An […]
Le Monde puzzle [#1157]
October 1, 2020The weekly puzzle from Le Monde is an empty (?) challenge: Kimmernaq and Aputsiaq play a game where Kimmernaq picks ten different integers between 1 and 100, and Aputsiaq must find a partition of these integers into two groups with identical sums. Who is winning? Indeed, if the sums are equal, then the sum of […]
Xi'an's Og 