Le Monde puzzle [#1106]
After a translation of the original puzzle,a straight linear equation as Le Monde mathematical puzzle:
Find the ten integers x¹,x²,…. such that Ax=3x-1 where
![A=\left[\begin{matrix} 0& 1& 1& 1& 0& 0& 0& 0& 0& 0\\ 1& 0& 0& 0& 1& 1& 0& 0& 0& 0\\ 1& 0& 0& 1& 0& 0& 1& 0& 0& 0\\ 1& 0& 1& 0& 1& 0& 0& 0& 0& 0\\ 0& 1& 0& 1& 0& 1& 0& 0& 0& 0\\ 0& 1& 0& 0& 1& 0& 0& 0& 1& 1\\ 0& 0& 1& 0& 0& 0& 0& 1& 0& 0\\ 0& 0& 0& 0& 0& 0& 1& 0& 1& 0\\ 0& 0& 0& 0& 0& 1& 0& 1& 0& 1\\ 0& 0& 0& 0& 0& 1& 0& 0& 1& 0\\ \end{matrix}\right]](https://s0.wp.com/latex.php?latex=A%3D%5Cleft%5B%5Cbegin%7Bmatrix%7D++0%26+1%26+1%26+1%26+0%26+0%26+0%26+0%26+0%26+0%5C%5C+1%26+0%26+0%26+0%26+1%26+1%26+0%26+0%26+0%26+0%5C%5C+1%26+0%26+0%26+1%26+0%26+0%26+1%26+0%26+0%26+0%5C%5C+1%26+0%26+1%26+0%26+1%26+0%26+0%26+0%26+0%26+0%5C%5C+0%26+1%26+0%26+1%26+0%26+1%26+0%26+0%26+0%26+0%5C%5C+0%26+1%26+0%26+0%26+1%26+0%26+0%26+0%26+1%26+1%5C%5C+0%26+0%26+1%26+0%26+0%26+0%26+0%26+1%26+0%26+0%5C%5C+0%26+0%26+0%26+0%26+0%26+0%26+1%26+0%26+1%26+0%5C%5C+0%26+0%26+0%26+0%26+0%26+1%26+0%26+1%26+0%26+1%5C%5C+0%26+0%26+0%26+0%26+0%26+1%26+0%26+0%26+1%26+0%5C%5C++%5Cend%7Bmatrix%7D%5Cright%5D&bg=000000&fg=B0B0B0&s=0&c=20201002)
Which returns 38 44 31 38 44 49 16 16 31 27 as its solution and is definitely of limited appeal…
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