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Cod sursa(job #25525)
program puteri;
var a,b,c,k:array [1..100000] of byte;
cs,bs,as:byte;
n,i,p,nr,t,j:longint;
f,g:text;
begin
assign(f,'puteri.in'); assign(g,'puteri.out');
reset(f); rewrite(g);
read (f,n);
for i:=1 to n do
begin
read (f,a[i],b[i],c[i]);
{k[i]:=0;
if (a[i]>b[i]) and (a[i]>c[i]) then p:=a[i]
else if (b[i]>a[i]) and (b[i]>c[i]) then p:=b[i] else p:=a[i];
if p<>1 then
for j:=2 to p do
if ((a[i] mod j=0) or (a[i]=0)) and ((b[i] mod j=0) or (b[i]=0))and ((c[i] mod j=0) or (c[i]=0))then p:=n;
if p=n then k[i]:=1;}
end;
nr:=0;
for i:=1 to n-1 do
for j:=i+1 to n do
{if (k[i]=1) and (k[j]=1) then nr:=nr+1
else}
begin
as:=a[i]+a[j]; cs:=c[i]+c[j]; bs:=b[i]+b[j];
if (((as=0) and (bs=0)) or ((as=0) and (cs=0)) or ((bs=0) and (cs=0))) then nr:=nr+1
else
begin
if (as>bs) and (as>cs) then p:=as
else if (bs>as) and (bs>cs) then p:=bs else p:=as;
if p<>1 then
for t:=2 to p do
if ((as mod t=0) or (as=0)) and ((bs mod t=0) or (bs=0))and ((cs mod t=0) or (cs=0))then p:=65;
if p=65 then nr:=nr+1;
end;
end;
writeln(g,nr);
close(f); close(g);
end.