📄 p134.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 = 'p134.in';
OutFile = 'p134.out';
Limit = 16000;
Type
Tedge = record
p1 , p2 : integer;
end;
Tdata = array[1..Limit * 2] of Tedge;
Tchildren = array[1..Limit] of integer;
Tanswer = record
min , total : integer;
data : array[1..Limit] of integer;
end;
Tindex = array[1..Limit] of integer;
Tvisited = array[1..Limit] of boolean;
Var
data : Tdata;
children : Tchildren;
answer : Tanswer;
index : Tindex;
visited : Tvisited;
N , M : integer;
procedure init;
var
i : integer;
begin
// assign(INPUT , InFile); ReSet(INPUT);
read(N);
for i := 1 to N - 1 do
begin
read(data[i].p1 , data[i].p2);
data[i + N - 1].p1 := data[i].p2;
data[i + N - 1].p2 := data[i].p1;
end;
M := (N - 1) * 2;
// Close(INPUT);
end;
procedure qk_pass(start , stop : integer; var mid : integer);
var
tmp : integer;
key : Tedge;
begin
tmp := random(stop - start + 1) + start;
key := data[tmp]; data[tmp] := data[start];
while start < stop do
begin
while (start < stop) and (data[stop].p1 > key.p1) do dec(stop);
data[start] := data[stop];
if start < stop then inc(start);
while (start < stop) and (data[start].p1 < key.p1) do inc(start);
data[stop] := data[start];
if start < stop then dec(stop);
end;
mid := start;
data[start] := key;
end;
procedure qk_sort(start , stop : integer);
var
mid : integer;
begin
if start < stop then
begin
qk_pass(start , stop , mid);
qk_sort(start , mid - 1);
qk_sort(mid + 1 , stop);
end;
end;
procedure dfs(root : integer);
var
p , max : integer;
begin
if not visited[root] then
begin
visited[root] := true;
p := index[root];
children[root] := 1;
max := 0;
while (p <= M) and (data[p].p1 = root) do
begin
if not visited[data[p].p2] then
begin
dfs(data[p].p2);
inc(children[root] , children[data[p].p2]);
if max < children[data[p].p2] then
max := children[data[p].p2];
end;
inc(p);
end;
if max < N - children[root] then
max := N - children[root];
if (answer.total = 0) or (max < answer.min) then
begin
answer.min := max;
answer.total := 1;
answer.data[1] := root;
end
else
if max = answer.min then
begin
inc(answer.total);
answer.data[answer.total] := root;
end;
end;
end;
procedure qk_pass_answer(start , stop : integer; var mid : integer);
var
tmp , key : integer;
begin
tmp := random(stop - start + 1) + start;
key := answer.data[tmp]; answer.data[tmp] := answer.data[start];
while start < stop do
begin
while (start < stop) and (answer.data[stop] > key) do dec(stop);
answer.data[start] := answer.data[stop];
if start < stop then inc(start);
while (start < stop) and (answer.data[start] < key) do inc(start);
answer.data[stop] := answer.data[start];
if start < stop then dec(stop);
end;
mid := start;
answer.data[start] := key;
end;
procedure qk_sort_answer(start , stop : integer);
var
mid : integer;
begin
if start < stop then
begin
qk_pass_answer(start , stop , mid);
qk_sort_answer(start , mid - 1);
qk_sort_answer(mid + 1 , stop);
end;
end;
procedure work;
var
i : integer;
begin
qk_sort(1 , M);
fillchar(index , sizeof(index) , 0);
for i := 1 to M do
if index[data[i].p1] = 0 then
index[data[i].p1] := i;
fillchar(answer , sizeof(answer) , 0);
fillchar(visited , sizeof(visited) , 0);
dfs(1);
qk_sort_answer(1 , answer.total);
end;
procedure out;
var
i : integer;
begin
// assign(OUTPUT , OutFile); ReWrite(OUTPUT);
writeln(answer.min , ' ' , answer.total);
for i := 1 to answer.total - 1 do
write(answer.data[i] , ' ');
writeln(answer.data[answer.total]);
// Close(OUTPUT);
end;
Begin
init;
work;
out;
End.
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