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Cod sursa(job #13693)
{$n+}
program fractiii;
type vec=array[1..15] of longint;
vector=array[1..2000000] of record
x:boolean;
y:vec;
l:byte;end;
var a:vector;
n,z,i,j,s1,p,p1:longint;
t:boolean;
s:extended;
f,g:text;
begin
assign(f,'fractii.in');assign(g,'fractii.out');reset(f);rewrite(g);
read(f,n);
for i:=2 to n do begin
z:=i;
while z<n do begin
z:=z+i;
a[z].x:=true;t:=true;
for j:=1 to a[z].l do
if i mod a[z].y[j]=0 then
begin t:=false;break;end;
if t then begin
a[z].l:=a[z].l+1;a[z].y[a[z].l]:=i;end;
end;
end;
for i:=2 to n do begin
if a[i].x=false then s:=s+(i-1)*2
else begin
p:=1;s1:=0;p1:=i;
for j:=1 to a[i].l do begin
p:=p*a[i].y[j];p1:=p1*(a[i].y[j]-1);end;
s1:=p1 div p;s:=s+s1*2;end;end;
s:=s+1;write(g,s,' ');
close(f);close(g);end.