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Cod sursa(job #114804)
var fi,fo:text;
i,rez,n,x,max,ct,j,nr_div:longint;
nr:array[1..1000000]of byte;
m:array[1..1000000]of longint;
function prim(nr:longint):boolean;
var i:longint;
begin
i:=2; nr_div:=0; prim:=true; ct:=1;
while i<=nr do
begin
if nr mod (i*i)=0 then begin ct:=2; prim:=false; exit; end;
if nr mod i=0 then begin inc(nr_div); nr:=nr div i; end;
inc(i);
end;
if nr_div>1 then prim:=false;
end;
procedure verif(i:longint);
var ok:boolean;
begin
ok:=prim(i);
if ok=true then rez:=rez+(m[i]*(m[i]-1) shr 1)
else
if nr_div>1 then
if ct=1 then
if nr_div and 1 = 1 then rez:=rez+(m[i]*(m[i]-1)) shr 1
else rez:=rez-(m[i]*(m[i]-1)) shr 1;
end;
begin
assign(fi,'pairs.in'); reset(fi);
assign(fo,'pairs.out'); rewrite(fo);
readln(fi,n);
max:=-maxint;
rez:=0;
for i:=1 to n do
begin
readln(fi,x);
nr[x]:=1;
if x>max then max:=x; end;
for i:=2 to max do
if (sqrt(i)<>trunc(sqrt(i)))or(i and 2 <> 0) then
begin
for j:=1 to max div i do
if nr[i*j]=1 then inc(m[i]);
if (m[i]>0) then verif(i);
end;
rez:=n*(n-1) shr 1 - rez;
writeln(fo,rez);
close(fi);
close(fo);
end.