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Cod sursa(job #116364)
var fi,fo:text;
rez,l,nr_div,n:int64;
ct,i1,j1:longint;
prime:array[1..1000000]of byte;
m:array[0..1000000]of int64;
primee:array[1..500000]of longint;
procedure gen(ba:int64);
var i,j:int64;
begin
i:=3;
primee[1]:=2;
l:=1;
prime[1]:=1;
while i<=ba do
begin
if prime[i]=0 then
begin
j:=3*i;
inc(l);
primee[l]:=i;
while j<=ba do
begin
prime[j]:=1; inc(j,i);
end;
end;
inc(i,2);
end;
end;
procedure prim(nr:int64);
var i:int64;
begin
ct:=1; nr_div:=0; i:=1;
if (nr=2)or((prime[nr]=0)and(nr and 1=1)) then
begin
inc(nr_div);
exit;
end;
if (sqrt(nr)=trunc(sqrt(nr)))or(nr mod 4=0) then
begin
ct:=2;
exit;
end;
while i<=l do
if (nr mod primee[i]=0) then
begin
inc(nr_div);
nr:=nr div primee[i];
if nr=1 then exit;
if nr mod primee[i] = 0 then
begin
ct:=2;
exit;
end;
if prime[nr]=0 then
begin
inc(nr_div);
exit;
end;
inc(i);
end
else inc(i);
end;
procedure verif(i:int64);
begin
prim(i);
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,'fractii.in'); reset(fi);
assign(fo,'fractii.out'); rewrite(fo);
readln(fi,n);
rez:=0; m[0]:=1; m[1]:=1;
gen(n shr 1);
for i1:=2 to n do
begin
for j1:=1 to n div i1 do
inc(m[i1]);
if (m[i1]>0) then verif(i1);
end;
rez:=(n*(n-1)) shr 1 - rez;
rez:=2*rez+1;
writeln(fo,rez);
close(fi); close(fo);
end.