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Cod sursa(job #279181)
program fractii;
var v,fi:array[1..10000000]of longint;
i,n,j,nr:longint;
s:int64;
f,g:text;
begin
assign(f,'fractii.in');
assign(g,'fractii.out');
reset(f);
rewrite(g);
read(f,n);
for i:=2 to n div 2 do
if v[i]=0 then
for j:=2 to n div i do v[i*j]:=i;
for i:=2 to trunc(sqrt(n)) do
if v[i]=0 then begin
nr:=i;
while nr<=n do begin
fi[nr]:=nr-nr div i; nr:=nr*i;
end;
end;
for i:=2 to n do
if fi[i]=0 then
if v[i]=0 then fi[i]:=i-1
else begin
nr:=i;
while nr mod v[i]=0 do nr:=nr div v[i];
fi[i]:=fi[nr]*fi[i div nr];
end;
for i:=1 to n do s:=s+fi[i];
writeln(g,2*s+1);
close(f);close(g);
end.