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[BZOJ1251] 序列终结者

2016-01-11 14:47 337 查看

传送门

http://www.lydsy.com/JudgeOnline/problem.php?id=1251

题目大意

支持

1.区间+-

2.区间翻转

3.查询区间最大值

题解

Splay模板题

注意+-标记的下放

这个节点打上+-标记表明该节点的权值和最值已被处理过

const
maxn=100005;
var
w:array[-1..maxn,1..8]of longint;
ans:array[0..maxn]of longint;
i,j,k:longint;
n,m,sum,root,a,b,c,d:longint;
procedure pushdown(a:longint);
var c:longint;
begin
if w[a,7]<>0 then begin
c:=w[a,1]; w[a,1]:=w[a,2]; w[a,2]:=c;
w[a,7]:=0; w[w[a,1],7]:=w[w[a,1],7] xor 1; w[w[a,2],7]:=w[w[a,2],7] xor 1;
end;
if w[a,8]<>0 then begin
if w[a,1]<>-1 then begin inc(w[w[a,1],8],w[a,8]); inc(w[w[a,1],5],w[a,8]); inc(w[w[a,1],6],w[a,8]); end;
if w[a,2]<>-1 then begin inc(w[w[a,2],8],w[a,8]); inc(w[w[a,2],5],w[a,8]); inc(w[w[a,2],6],w[a,8]); end;
w[a,8]:=0;
end;
end;

function max(a,b:longint):longint;
begin
if a>b then exit(a) else exit(b);
end;

procedure rotate(a,kind:longint);
var b,unkind:longint;
begin
pushdown(b); pushdown(a);
b:=w[a,3]; unkind:=kind xor 3;
w[a,4]:=w[b,4]; dec(w[b,4],1+w[w[a,kind],4]);
w[w[a,unkind],3]:=b; w[b,kind]:=w[a,unkind];
w[a,unkind]:=b; w[a,3]:=w[b,3]; w[b,3]:=a;
if w[a,3]<>-1
then
if w[w[a,3],1]=b
then w[w[a,3],1]:=a
else w[w[a,3],2]:=a;
w[b,5]:=max(max(w[w[b,1],5],w[w[b,2],5]),w[b,6]);
w[a,5]:=max(max(w[w[a,1],5],w[w[a,2],5]),w[a,6]);
end;

procedure splay(a,goal:longint);
var kind,b,unkind:longint;
begin
while w[a,3]<>goal do
begin
b:=w[a,3]; if w[b,1]=a then kind:=1 else kind:=2; unkind:=kind xor 3;
if w[b,3]=goal then rotate(a,kind)
else
if w[w[b,3],kind]=b
then begin rotate(b,kind); rotate(a,kind); end
else begin rotate(a,kind); rotate(a,unkind); end;
end;
if goal=-1 then root:=a;
end;

procedure init(a:longint);
var tt,fa:longint;
begin
tt:=root;
while tt<>-1 do
begin fa:=tt; inc(w[tt,4]); tt:=w[tt,2]; end;
inc(sum); w[sum,1]:=-1; w[sum,2]:=-1; w[sum,3]:=fa; w[sum,4]:=1; w[sum,5]:=0; w[sum,6]:=0; w[sum,7]:=0; w[sum,8]:=0;
if a=n+1 then w[sum,6]:=-maxlongint; splay(sum,-1);
end;

function getkth(a:longint):longint;
var tt:longint;
begin
tt:=root; if (w[tt,7]<>0)or(w[tt,8]<>0) then pushdown(tt);
while (w[w[tt,1],4]>=a)or(a>=w[w[tt,1],4]+2) do
begin
if a<=w[w[tt,1],4]
then tt:=w[tt,1]
else begin dec(a,w[w[tt,1],4]+1); tt:=w[tt,2]; end;
if (w[tt,7]<>0)or(w[tt,8]<>0) then pushdown(tt);
end;
exit(tt);
end;

begin
readln(n,m); sum:=1; root:=1; w[-1,5]:=-maxlongint; w[-1,6]:=-maxlongint;
w[1,1]:=-1; w[1,2]:=-1; w[1,3]:=-1; w[1,4]:=1; w[1,5]:=0; w[1,6]:=-maxlongint; w[1,7]:=0; w[1,8]:=0;
for i:=1 to n+1 do
init(i);
ans[0]:=0;
for i:=1 to m do
begin
read(a);
case a of
1:begin readln(b,c,d); splay(getkth(b),-1); splay(getkth(c+2),root);
inc(w[w[w[root,2],1],8],d); inc(w[w[w[root,2],1],5],d); inc(w[w[w[root,2],1],6],d);
end;
2:begin readln(b,c); splay(getkth(b),-1); splay(getkth(c+2),root);
w[w[w[root,2],1],7]:=w[w[w[root,2],1],7] xor 1;
end;
3:begin readln(b,c); splay(getkth(b),-1); splay(getkth(c+2),root);
pushdown(w[w[root,2],1]);
inc(ans[0]); ans[ans[0]]:=w[w[w[root,2],1],5];
end;
end;
end;
for i:=1 to ans[0] do
writeln(ans[i]);
end.
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