Define a function lengths that takes two parameters: a three$-$column matrix of floats $(2$D array$)$ and an integer that indicates the number of rows in the matrix. Return a pointer to an array of floats allocated on the heap where each element of the returned array is the length of the vector defined by the corresponding row in the matrix.

For example, given the matrix:

$012$

$345$

$678$

$900$

the lengths function should return $\{2\mathrm{.}24,7\mathrm{.}07,12\mathrm{.}21,9\mathrm{.}0\}.$

The length of a vector can be found by the Pythagorean Theorem:

len$([$a$,$b$,$c$])=$ sqrt$($a$2+$b$2+$c$2)$

Note: the matrix parameter is not an array of pointers$-$to$-$float $($float $*$m$[3]),$ but a matrix with rows of size $3($float m$[][3]).$

Answer:$($penalty regime: $0\%)$