Please write NumPy codes to generate this $9$x$9$ matrix $-$

$[[001001001]$

$[010010010]$

$[100100100]$

$[001001001]$

$[010010010]$

$[100100100]$

$[001001001]$

$[010010010]$

$[100100100]]$

Note: you cannot simply copy the numbers. Pay attention to the pattern.Please implement three different solutions and compare their execution speeds by utilizing the $\%\%$timeit magic command for profiling.

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