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Cod sursa(job #195405)
var f,g:text;
s:int64;
l,n,x,i:longint;
b:array[1..1000000]of word;
a:array[1..1000000]of boolean;
begin
assign(f,'fractii.in');reset(f);
assign(g,'fractii.out');rewrite(g);
read(f,n);
l:=trunc(sqrt(n));
for i:=1 to n do
a[i]:=true;
for i:=2 to l do begin
x:=i;
while x+i<=n do begin
inc(x,i);
a[x]:=false;
end;
end;
for i:=2 to n do b[i]:=1;
for i:=2 to n do begin
x:=i;
if a[i]=true then begin
b[i]:=n-(n div i);
while x+i<=n do begin
inc(x,i);
if b[x]<>0 then inc(b[x]);
b[x]:=b[i]+1-b[x];
end;
end;
end;
s:=n;
for i:=2 to n do inc(s,b[i]);
writeln(g,s);
close(f);
close(g);
end.