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Le Monde puzzle [#947]

February 2, 2016

Another boardgame in Le Monde mathematical puzzle : Given an 8×8 chequerboard,  consider placing 2×2 tiles over this chequerboard until (a) the entire surface is covered and (b) removing a single 2×2 tile exposes some of the original chequerboard. What is the maximal number of 2×2 tiles one can set according to this scheme? And for […]

Le Monde puzzle [#945]

January 25, 2016

A rather different Le Monde mathematical puzzle: A two-person game is played on an nxn grid filled with zero. Each player pick an entry, which is increased by one as well as all adjacent entries. The game stops when all entries are equal. For n=3,4,5, what are the possible grids with identical values all over? […]

Le Monde puzzle [#944]

January 20, 2016

A completely dull Le Monde mathematical puzzle: Find all integer pairs (a,b) less than 10⁶ such that a-b=2015 and ab is a perfect square. If  I write the only condition as the function and brute-force checked for all possible solutions which produced as the 13 possible answers. If one checks between 10⁶ and 5 10⁶, the […]

Le Monde puzzle [#940]

December 25, 2015

A rather different Le Monde mathematical puzzle with no simulation: A student has x days to train before an exam and decides to take one day off after every nine consecutive days of training. She makes her planning and manages to fit one chapter of her textbook per day of training. She then realises she […]

Le Monde puzzle [#939bis]

December 18, 2015

If you remember the previous post, I had two interpretations about Le Monde mathematical puzzle #639: Find all integers with less than 11 digits that are perfect squares and can be written as a(a+6), a being an integer. and: Find all integers with less than 11 digits that are perfect squares and can be written […]

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