📄 p156.dpr
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{$A8,B-,C+,D+,E-,F-,G+,H+,I+,J-,K-,L+,M-,N+,O+,P+,Q-,R-,S-,T-,U-,V+,W-,X+,Y+,Z1}
{$MINSTACKSIZE $00004000}
{$MAXSTACKSIZE $00100000}
{$IMAGEBASE $00400000}
{$APPTYPE GUI}
{$R+,Q+,S+}
Const
InFile = 'p156.in';
OutFile = 'p156.out';
Limit = 10000;
LimitM = 100000;
Type
Tedge = record
p1 , p2 : integer;
end;
Tgraph = array[1..LimitM * 2] of Tedge;
Tdata = array[0..Limit] of integer;
Tpath = record
total : integer;
data : array[1..Limit * 2] of
record
point , next , mark : integer;
end;
end;
Tmap = array[1..Limit] of
record
p1 , p2 : integer;
end;
Trec = record
num , color : integer;
end;
Tsort = array[1..Limit] of Trec;
Var
graph : Tgraph;
index ,
degree ,
visited ,
color ,
colorindex ,
colortotal : Tdata;
path : Tpath;
map : Tmap;
sort : Tsort;
NoAnswer : boolean;
N , M , tot ,
colored : integer;
procedure init;
var
i : integer;
begin
// assign(INPUT , InFile); ReSet(INPUT);
read(N , M);
for i := 1 to M do
begin
read(graph[i * 2 - 1].p1 , graph[i * 2 - 1].p2);
graph[i * 2].p1 := graph[i * 2 - 1].p2;
graph[i * 2].p2 := graph[i * 2 - 1].p1;
end;
M := M * 2;
// Close(INPUT);
end;
procedure qk_pass(var graph : Tgraph; start , stop : integer; var mid : integer);
var
key : Tedge;
tmp : integer;
begin
tmp := random(stop - start + 1) + start;
key := graph[tmp]; graph[tmp] := graph[start];
while start < stop do
begin
while (start < stop) and (graph[stop].p1 > key.p1) do dec(stop);
graph[start] := graph[stop];
if start < stop then inc(start);
while (start < stop) and (graph[start].p1 < key.p1) do inc(start);
graph[stop] := graph[start];
if start < stop then dec(stop);
end;
mid := start;
graph[start] := key;
end;
procedure qk_sort(var graph : Tgraph; start , stop : integer);
var
mid : integer;
begin
if start < stop then
begin
qk_pass(graph , start , stop , mid);
qk_sort(graph , start , mid - 1);
qk_sort(graph , mid + 1 , stop);
end;
end;
procedure dfs(root : integer);
var
p : integer;
begin
visited[root] := 1;
inc(tot);
p := index[root];
while (p <> 0) and (p <= M) and (graph[p].p1 = root) do
begin
if visited[graph[p].p2] = 0 then
dfs(graph[p].p2);
inc(p);
end;
end;
procedure qk_pass_color(start , stop : integer; var mid : integer);
var
key : Trec;
tmp : integer;
begin
tmp := random(stop - start + 1) + start;
key := sort[tmp]; sort[tmp] := sort[start];
while start < stop do
begin
while (start < stop) and (sort[stop].color > key.color) do dec(stop);
sort[start] := sort[stop];
if start < stop then inc(start);
while (start < stop) and (sort[start].color < key.color) do inc(start);
sort[stop] := sort[start];
if start < stop then dec(stop);
end;
mid := start;
sort[start] := key;
end;
procedure qk_sort_color(start , stop : integer);
var
mid : integer;
begin
if start < stop then
begin
qk_pass_color(start , stop , mid);
qk_sort_color(start , mid - 1);
qk_sort_color(mid + 1 , stop);
end;
end;
procedure addpoint(p , mark : integer);
begin
inc(path.total);
path.data[path.total].point := p;
path.data[path.total].next := path.total + 1;
path.data[path.total].mark := mark;
end;
procedure del_color(p : integer);
var
tmp : Trec;
target ,
source : integer;
begin
dec(colortotal[color[p]]);
source := colorindex[color[p]];
while sort[source].num <> p do inc(source);
target := colortotal[color[p]] + colorindex[color[p]];
tmp := sort[source]; sort[source] := sort[target]; sort[target] := tmp;
end;
procedure find_circle(start : integer);
var
p , last : integer;
begin
p := start;
last := 0;
if degree[p] = 2 then
repeat
addpoint(p , 0);
if map[p].p1 = last then
begin
last := p;
p := map[p].p2;
end
else
begin
last := p;
p := map[p].p1;
end;
until (degree[p] <> 2) or (p = start);
repeat
if (p = start) and (degree[p] = 2) then
break;
del_color(p);
addpoint(p , 1);
last := p;
p := map[p].p1;
while degree[p] = 2 do
begin
addpoint(p , 0);
if map[p].p1 = last then
begin
last := p;
p := map[p].p2;
end
else
begin
last := p;
p := map[p].p1;
end;
end;
addpoint(p , 2);
del_color(p);
if colortotal[color[p]] <> 0 then
p := sort[colorindex[color[p]]].num;
until (color[start] <> 0) and (color[start] = color[p]) or (start = p);
end;
procedure work;
var
i , p : integer;
begin
noanswer := true;
qk_sort(graph , 1 , M);
fillchar(index , sizeof(index) , 0);
fillchar(degree , sizeof(degree) , 0);
for i := 1 to M do
begin
if index[graph[i].p1] = 0 then
index[graph[i].p1] := i;
inc(degree[graph[i].p1]);
end;
fillchar(visited , sizeof(visited) , 0);
tot := 0;
dfs(1);
if tot <> N then
exit;
fillchar(color , sizeof(color) , 0);
fillchar(map , sizeof(map) , 0);
fillchar(sort , sizeof(sort) , 0);
fillchar(colorindex , sizeof(colorindex) , 0);
tot := 0; colored := 0;
for i := 1 to N do
if degree[i] > 2 then
begin
if color[i] = 0 then
begin
inc(tot);
color[i] := tot;
end;
p := index[i];
while (p <> 0) and (p <= M) and (graph[p].p1 = i) do
begin
if degree[graph[p].p2] > 2 then
color[graph[p].p2] := color[i]
else
map[i].p1 := graph[p].p2;
inc(p);
end;
end
else
if degree[i] = 2 then
begin
map[i].p1 := graph[index[i]].p2;
map[i].p2 := graph[index[i] + 1].p2;
end;
for i := 1 to N do
if color[i] <> 0 then
begin
inc(colored);
sort[colored].num := i;
sort[colored].color := color[i];
inc(colortotal[color[i]]);
end;
qk_sort_color(1 , colored);
for i := 1 to N do
if (sort[i].color > 0) and (colorindex[sort[i].color] = 0) then
colorindex[sort[i].color] := i;
for i := 1 to tot do
if odd(colortotal[i]) then
exit;
fillchar(path , sizeof(path) , 0);
i := 1;
while i <= N do
if degree[i] = 2 then
inc(i)
else
break;
if i <= N then
find_circle(i)
else
find_circle(1);
path.data[path.total].next := 0;
p := 1;
while p <> 0 do
begin
if (colortotal[color[path.data[p].point]] > 0) and (path.data[p].mark = 2) then
begin
i := path.data[p].next;
path.data[p].next := path.total + 1;
find_circle(sort[colorindex[color[path.data[p].point]]].num);
path.data[path.total].next := i;
end;
p := path.data[p].next;
end;
NoAnswer := false;
end;
procedure out;
var
p : integer;
begin
// assign(OUTPUT , OutFile); ReWrite(OUTPUT);
if NoAnswer then
writeln(-1)
else
begin
p := 1;
write(path.data[p].point);
repeat
p := path.data[p].next;
if p <> 0 then
write(' ' , path.data[p].point);
until p = 0;
writeln;
end;
// Close(OUTPUT);
end;
Begin
init;
work;
out;
End.
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