Link-Cut-Tree题目泛做（为了对应自己的课件）
题目1：BZOJ 2049 洞穴勘测
#include <bits/stdc++.h>
#define L(x) c[x][0]
#define R(x) c[x][1] using namespace std; const int oo = 0x3f3f3f3f; struct SplayTree{
static const int N = + ; int top, st[N];
int fa[N], c[N][], sum[N], mx[N], val[N];
bool rev[N]; bool isroot(int x){
return L(fa[x]) != x && R(fa[x]) != x;
} void pushdown(int x){
int l = L(x), r = R(x); if(rev[x]){
rev[x] ^= ; rev[l] ^= ; rev[r] ^= ;
swap(L(x), R(x));
}
} void pushup(int x){
int l = L(x), r = R(x); sum[x] = sum[l] + sum[r] + val[x];
mx[x] = max(val[x], max(mx[l], mx[r]));
} void rotate(int x){
int y = fa[x], z = fa[y], l, r; l = (L(y) == x) ^ ; r = l ^ ;
if(!isroot(y))
c[z][(L(z) == y) ^ ] = x;
fa[x] = z; fa[y] = x; fa[c[x][r]] = y;
c[y][l] = c[x][r]; c[x][r] = y;
} void splay(int x){
top = ;
st[++ top] = x;
for(int i = x; !isroot(i); i = fa[i])
st[++ top] = fa[i];
while(top) pushdown(st[top --]);
while(!isroot(x)){
int y = fa[x], z = fa[y]; if(!isroot(y)){
if(L(y) == x ^ L(z) == y) rotate(x);
else rotate(y);
}
rotate(x);
}
}
}Splay; struct LinkCutTree{ void Access(int x){
int t = ; while(x){
Splay.splay(x);
Splay.R(x) = t;
t = x; x = Splay.fa[x];
}
} void makeroot(int x){
Access(x); Splay.splay(x); Splay.rev[x] ^= ;
} void link(int x, int y){
makeroot(x); Splay.fa[x] = y; Splay.splay(x);
} void cut(int x, int y){
makeroot(x); Access(y); Splay.splay(y);
Splay.L(y) = Splay.fa[x] = ;
} int findroot(int x){
Access(x); Splay.splay(x);
int y = x;
while(Splay.L(y)) y = Splay.L(y); return y;
}
}lct; int n, m, x, y;
char str[]; int main(){
scanf("%d%d", &n, &m);
for(int i = ; i <= m; ++ i){
scanf("%s%d%d", str, &x, &y); if(str[] == 'C') lct.link(x, y);
else if(str[] == 'D') lct.cut(x, y);
else{
if(lct.findroot(x) == lct.findroot(y)) printf("Yes\n");
else printf("No\n");
}
} return ;
}
BZOJ 2049
题目2： BZOJ 1180 OTOCI
#include <bits/stdc++.h>
#define L(x) c[x][0]
#define R(x) c[x][1] using namespace std; typedef long long ll;
const int N = + ;
const int oo = 0x3f3f3f3f; struct SplayTree{
int fa[N], c[N][];
ll val[N], mx[N], sum[N];
bool rev[N];
int top, st[N]; inline bool isroot(int x){
return L(fa[x]) != x && R(fa[x]) != x;
} void pushdown(int x){
int l = L(x), r = R(x); if(rev[x]){
rev[x] ^= ; rev[l] ^= ; rev[r] ^= ;
swap(L(x), R(x));
}
} void pushup(int x){
int l = L(x), r = R(x); sum[x] = sum[l] + sum[r] + val[x];
mx[x] = max(val[x], max(mx[l], mx[r]));
} void rotate(int x){
int y = fa[x], z = fa[y], l, r; l = (L(y) == x) ^ ; r = l ^ ;
if(!isroot(y)){
c[z][(L(z) == y) ^ ] = x;
}
fa[x] = z; fa[y] = x; fa[c[x][r]] = y;
c[y][l] = c[x][r]; c[x][r] = y;
pushup(y); pushup(x);
} void splay(int x){
top = ;
st[++ top] = x; for(int i = x; !isroot(i); i = fa[i])
st[++ top] = fa[i];
while(top) pushdown(st[top --]);
while(!isroot(x)){
int y = fa[x], z = fa[y]; if(!isroot(y)){
if(L(y) == x ^ L(z) == y) rotate(x);
else rotate(y);
}
rotate(x);
}
}
}Splay; struct LinkCutTree{
void Access(int x){
int t = ; while(x){
Splay.splay(x);
Splay.R(x) = t;
t = x;
Splay.pushup(x);
x = Splay.fa[x];
}
} void makeroot(int x){
Access(x); Splay.splay(x); Splay.rev[x] ^= ;
} void link(int x, int y){
makeroot(x); Splay.fa[x] = y; Splay.splay(x);
} void cut(int x, int y){
makeroot(x); Access(y); Splay.splay(y);
Splay.L(y) = Splay.fa[x] = ;
} int findroot(int x){
Access(x); Splay.splay(x); int y = x; while(Splay.L(y)){
y = Splay.L(y);
} return y;
}
}lct; int n, m, x, y;
char str[]; int main(){
scanf("%d", &n);
for(int i = ; i <= n; ++ i){
scanf("%lld", &Splay.val[i]);
Splay.sum[i] = Splay.val[i];
}
scanf("%d", &m);
for(int i = ; i <= m; ++ i){
scanf("%s%d%d", str, &x, &y); if(str[] == 'b'){
if(lct.findroot(x) == lct.findroot(y))
puts("no");
else{
puts("yes"); lct.link(x, y);
}
}
else if(str[] == 'e'){
if(lct.findroot(x) != lct.findroot(y)){
puts("impossible");
}
else{
lct.makeroot(x); lct.Access(y); Splay.splay(y);
printf("%lld\n", Splay.sum[y]);
}
}
else{
lct.makeroot(x); Splay.val[x] = y; Splay.pushup(x);
}
} return ;
}
BZOJ 1180
题目3：BZOJ 3282 TREE
#include <bits/stdc++.h>
#define L(x) c[x][0]
#define R(x) c[x][1] using namespace std; const int N = + ; struct SplayTree{
int fa[N], c[N][], val[N], sum[N];
bool rev[N];
int top, st[N]; inline bool isroot(int x){
return L(fa[x]) != x && R(fa[x]) != x;
} void pushup(int x){
int l = L(x), r = R(x); sum[x] = sum[l] ^ sum[r] ^ val[x];
}
void pushdown(int x){
int l = L(x), r = R(x); if(rev[x]){
rev[x] ^= ; rev[l] ^= ; rev[r] ^= ;
swap(L(x), R(x));
}
}
void rotate(int x){
int y = fa[x], z = fa[y], l, r; l = (L(y) == x) ^ ; r = l ^ ; if(!isroot(y)){
c[z][(L(z) == y) ^ ] = x;
}
fa[y] = x; fa[x] = z; fa[c[x][r]] = y;
c[y][l] = c[x][r]; c[x][r] = y;
pushup(y); pushup(x);
} void splay(int x){
top = ;
st[++ top] = x;
for(int i = x; !isroot(i); i = fa[i])
st[++ top] = fa[i]; while(top) pushdown(st[top --]);
while(!isroot(x)){
int y = fa[x], z = fa[y]; if(!isroot(y)){
if(L(y) == x ^ L(z) == y) rotate(x);
else rotate(y);
}
rotate(x);
}
}
}Splay; struct LinkCutTree{
void Access(int x){
int t = ; while(x){
Splay.splay(x);
Splay.R(x) = t;
t = x;
Splay.pushup(x);
x = Splay.fa[x];
}
} void makeroot(int x){
Access(x); Splay.splay(x); Splay.rev[x] ^= ;
} int findroot(int x){
Access(x); Splay.splay(x); int y = x; while(Splay.L(y)) y = Splay.L(y); return y;
} void link(int x, int y){
makeroot(x); Splay.fa[x] = y; Splay.splay(x);
} void cut(int x, int y){
makeroot(x); Access(y); Splay.splay(y);
Splay.L(y) = Splay.fa[x] = ;
}
}lct; int n, m;
int x, y, z; int main(){
scanf("%d%d", &n, &m);
for(int i = ; i <= n; ++ i){
scanf("%d", &Splay.val[i]);
Splay.sum[i] = Splay.val[i];
}
for(int i = ; i <= m; ++ i){
scanf("%d%d%d", &z, &x, &y); switch(z){
case :{
lct.makeroot(x); lct.Access(y); Splay.splay(y);
printf("%d\n", Splay.sum[y]);
break;
}
case :{
if(lct.findroot(x) != lct.findroot(y)){
lct.link(x, y);
}
break;
}
case :{
if(lct.findroot(x) == lct.findroot(y)){
lct.cut(x, y);
}
break;
}
case :{
lct.Access(x); Splay.splay(x); Splay.val[x] = y;
Splay.pushup(x);
break;
}
}
} return ;
}
BZOJ 3282
题目4： HDU 4010 Query On The Trees
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <algorithm>
#include <iostream>
#define L(x) c[x][0]
#define R(x) c[x][1] using namespace std; const int N = + ;
const int oo = 0x3f3f3f3f; int n, m, tot;
int first[N], nxt[N<<];
int u[N<<], v[N<<];
int que[N<<]; struct SplayTree{
int fa[N], c[N][], val[N], mx[N], add[N];
bool rev[N];
int top, st[N]; inline bool isroot(int x){
return L(fa[x]) != x && R(fa[x]) != x;
} void pushup(int x){
int l = L(x), r = R(x); mx[x] = max(mx[l], mx[r]);
mx[x] = max(mx[x], val[x]);
} void pushdown(int x){
int l = L(x), r = R(x); if(rev[x]){
rev[x] ^= ; rev[l] ^= ; rev[r] ^= ;
swap(L(x), R(x));
}
if(add[x]){
if(l){
add[l] += add[x]; mx[l] += add[x]; val[l] += add[x];
}
if(r){
add[r] += add[x]; mx[r] += add[x]; val[r] += add[x];
}
add[x] = ;
}
} void rotate(int x){
int y = fa[x], z = fa[y], l, r; l = (L(y) == x) ^ ; r = l ^ ;
if(!isroot(y)){
c[z][L(z) == y ^ ] = x;
}
fa[x] = z; fa[y] = x; fa[c[x][r]] = y;
c[y][l] = c[x][r]; c[x][r] = y;
pushup(y); pushup(x);
} void splay(int x){
top = ;
st[++ top] = x;
for(int i = x; !isroot(i); i = fa[i])
st[++ top] = fa[i];
while(top) pushdown(st[top --]);
while(!isroot(x)){
int y = fa[x], z = fa[y]; if(!isroot(y)){
if(L(y) == x ^ L(z) == y) rotate(x);
else rotate(y);
}
rotate(x);
}
}
}Splay; struct LinkCutTree{
void Access(int x){
int t = ; while(x){
Splay.splay(x);
Splay.R(x) = t;
t = x;
Splay.pushup(x);
x = Splay.fa[x];
}
}
void Add(int x, int y, int w){
makeroot(x); Access(y); Splay.splay(y);
Splay.add[y] += w; Splay.val[y] += w;
Splay.mx[y] += w;
}
int findroot(int x){
Access(x); Splay.splay(x); int y = x; while(Splay.L(y)){
y = Splay.L(y);
} return y;
} void makeroot(int x){
Access(x); Splay.splay(x); Splay.rev[x] ^= ;
} void cut(int x, int y){
makeroot(x); Access(y); Splay.splay(y);
Splay.L(y) = Splay.fa[Splay.L(y)] = ; Splay.pushup(y);
} void link(int x, int y){
makeroot(x); Splay.fa[x] = y; Splay.splay(x);
}
}lct; void insert(int s, int t){
++ tot;
u[tot] = s; v[tot] = t;
nxt[tot] = first[s];
first[s] = tot;
} void bfs(){
int head, tail;
head = tail = ;
que[head] = ;
Splay.fa[] = ; while(head <= tail){
int x = que[head]; for(int i = first[x]; i; i = nxt[i]){
if(v[i] != Splay.fa[x]){
Splay.fa[v[i]] = x;
que[++ tail] = v[i];
}
}
++ head;
}
} int main(){
int flag, x, y, z; while(~scanf("%d", &n)){
tot = ;
for(int i = ; i <= n; ++ i){
Splay.fa[i] = Splay.val[i] = Splay.add[i] = ;
Splay.rev[i] = false;
Splay.mx[i] = -oo;
Splay.c[i][] = Splay.c[i][] = ;
first[i] = ;
}
for(int i = ; i < n; ++ i){
scanf("%d%d", &x, &y);
insert(x, y); insert(y, x);
}
for(int i = ; i <= n; ++ i){
scanf("%d", &x);
Splay.val[i] = Splay.mx[i] = x;
}
bfs(); scanf("%d", &m);
for(int i = ; i <= m; ++ i){
scanf("%d", &flag);
switch(flag){
case :{
scanf("%d%d", &x, &y);
if(lct.findroot(x) == lct.findroot(y))
puts("-1");
else
lct.link(x, y);
break;
}
case :{
scanf("%d%d", &x, &y);
if(lct.findroot(x) != lct.findroot(y) || x == y)
puts("-1");
else lct.cut(x, y);
break;
}
case :{
scanf("%d%d%d", &z, &x, &y);
if(lct.findroot(x) != lct.findroot(y))
puts("-1");
else
lct.Add(x, y, z);
break;
}
case :{
scanf("%d%d", &x, &y);
if(lct.findroot(x) != lct.findroot(y))
puts("-1");
else{
lct.makeroot(x); lct.Access(y); Splay.splay(y);
printf("%d\n", Splay.mx[y]);
}
break;
}
}
}
puts("");
} return ;
}
HDU 4010
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