Given two arrays, a real array $v=(v_1,v_2,$dots,$v_n)$ and an integer permutation array $p=(p_1,p_2,$dots,$p_n)$ of integers $1,2,$dots,$n,$ can we form a new permuted array $v=(v_{p_1},v_{p_2},$dots,$v_{p_n})$ by overwriting $v$ and not involving another array in memory? If so$,$ write and test the code for doing it$.$ If not, use an additional array and test.

Case $1.v=(6\mathrm{.}3,4\mathrm{.}2,9\mathrm{.}3,6\mathrm{.}7,7\mathrm{.}8,2\mathrm{.}4,3\mathrm{.}8,9\mathrm{.}7),p=(2,3,8,7,1,4,6,5)$

Case $2.v=(0\mathrm{.}7,0\mathrm{.}6,0\mathrm{.}1,0\mathrm{.}3,0\mathrm{.}2,0\mathrm{.}5,0\mathrm{.}4),p(3,5,4,7,6,2,1)$