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Cod sursa(job #575)
program hio;
type ta=array [1..1000000] of 0..1;
ta2=array [1..1000000] of int64;
var f:text;
d,suma,n,cop,p:int64;
i,j:longint;
a:ta;
t:ta2;
begin {pp}
assign(f,'fractii.in');reset(f);
read(f,n);
close(f);
for i:=2 to n do
if a[i]=0 then
for j:=2 to (n div i) do
a[i*j]:=1;
suma:=1;
for i:=1 to n do
begin
if a[i]=0 then t[i]:=i-1
else
begin
d:=2;
while i mod d<>0 do
inc(d);
p:=1;
cop:=i;
while cop mod d=0 do
begin
cop:=cop div d;
p:=p*d;
end;
if cop=1 then t[i]:=i-(i div d)
else t[i]:=t[p]*t[cop];
end;
suma:=suma+t[i];
end;
assign(f,'fractii.out');rewrite(f);
write(f,2*suma-1);
close(f);
end.