Assume the following function definitions exist:

nmap $f[]=[]$

nmap nmap $fs$

nfilter $f[]=[]$

nfilter $f(x$:$xs)=$ if $(f,x)$ then $(x$ : $($nfilter $f$ xs $))$

else $($nfilter $f$ xs$)$

reduce $fs[]=s$

reduce $fs(x$:$xs)=f($reduce $fss)$

for $mn$ f $s=$ if $)>(n$ then $s$

else for $(m+1)nf(fms)$

comp $fgy=f(gy)$

iter $0$ f $s=s$

iter $n$ f $s=$ iter $(n-1)$ f $(fs)$

zpta$[]=[a]$

zpt $a(x$:$xs)=$ if $a>x$ then $a$:$(x$:$xs)$

else a $xs$

What are the values of the following expressions?:

nmap even $1,2,3,4,5,6$

nmap $((+)2)($nfilter even $[1,2,3,4,5,6]$

iter $2)4$

reduce zpt $[]1,3,4,2,3,1$

for $1013zpt[]$

reduce $(comp(**)(+))1[1,2,3]$

Note: $(**)y=x**y$;$,(+)y=x+y$;$,$ even $)==(0$