📄 ac1137.pas
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program tju1137;
const
maxn=20;
var
e:array[1..maxn,1..maxn]of integer;
q,lv,r1,r2:array[1..maxn]of byte;
loop:array[1..maxn]of boolean;
t,u,n,m,i,f,r,count,bad:longint;
first:boolean;
function multi(x:word):boolean;
begin
for f:=2 to n do
if e[x,f]>1 then begin
multi:=true;exit;
end;
multi:=false;
end;
begin
read(t);
for u:=1 to t do begin
fillchar(e,sizeof(e),0);
fillchar(r1,sizeof(r1),0);
fillchar(loop,sizeof(loop),0);
read(n,m);
for i:=1 to m do begin
read(f,r);dec(e[f,r]);dec(e[r,f]);
end;
f:=0;r:=1;q[1]:=1;r1[1]:=1;
repeat
inc(f);
for i:=2 to n do
if e[q[f],i]<0 then begin
e[q[f],i]:=-e[q[f],i];e[i,q[f]]:=-e[i,q[f]];
if r1[i]=0 then begin
inc(r);q[r]:=i;lv[i]:=lv[q[f]]+1;
case lv[i] of
1:r1[i]:=i;
2:begin r1[i]:=q[f];r2[i]:=i;end;
else begin r1[i]:=r1[q[f]];r2[i]:=r2[q[f]];end;
end;
end
else if r1[q[f]]<>r1[i] then
loop[1]:=true
else if r2[q[f]]<>r2[i] then
loop[r1[i]]:=true;
end;
until f=r;
if (r=1) or loop[1] then
bad:=0
else begin
count:=0;bad:=1;
for i:=2 to n do
if e[1,i]>1 then begin
inc(count);
if (count=2) or loop[i] or multi(i) then begin bad:=0;break;end;
if not odd(e[1,i]) then bad:=i;
end;
end;
first:=true;
for i:=1 to n do
if (r1[i]>0) and (i<>bad) then begin
if first then first:=false else write(' ');
write(i);
end;
writeln;
end;
end.
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