Determine the value of x and y $($in terms of n$)$ at the end of the execution of the following algorithms algo$1$ and algo$2$ Algorithm algo$1($integer n$)$

x $0$

for i $=0$; i $<$ n; i $=$ i$+1$ do

for j $=0$; j $<2*$n; j $=$ j$+1$ do

x $$ x$+1$ Algorithm algo$1($integer n$)$

y $0$

for i $=0$; i $<$ n; i $=$ i$+1$ do

for j $=0$; $2*$j $<$ n; j $=$ j$+1$ do

y $$ y$+1$