[COGS2701]:动态树

题面

传送门

Sol

LCT维护子树和

# include <bits/stdc++.h>
# define IL inline
# define RG register
# define ls ch[0][x]
# define rs ch[1][x]
# define Fill(a, b) memset(a, b, sizeof(a))
using namespace std;
typedef long long ll;
const int _(2e5 + 10); IL ll Read(){
RG char c = getchar(); RG ll x = 0, z = 1;
for(; c < '0' || c > '9'; c = getchar()) z = c == '-' ? -1 : 1;
for(; c >= '0' && c <= '9'; c = getchar()) x = (x << 1) + (x << 3) + (c ^ 48);
return x * z;
} int n, Q, ch[2][_], fa[_], size[_], sum[_], rev[_], S[_]; IL bool Son(RG int x){ return ch[1][fa[x]] == x; } IL bool Isroot(RG int x){ return ch[0][fa[x]] != x && ch[1][fa[x]] != x; } IL void Reverse(RG int x){ if(!x) return; swap(ls, rs); rev[x] ^= 1; } IL void Update(RG int x){ sum[x] = sum[ls] + sum[rs] + size[x] + 1; } IL void Pushdown(RG int x){ if(!rev[x]) return; Reverse(ls); Reverse(rs); rev[x] = 0; } IL void Rotate(RG int x){
RG int y = fa[x], z = fa[y], c = Son(x);
if(!Isroot(y)) ch[Son(y)][z] = x; fa[x] = z;
ch[c][y] = ch[!c][x]; fa[ch[c][y]] = y;
ch[!c][x] = y; fa[y] = x; Update(y);
} IL void Splay(RG int x){
S[S[0] = 1] = x;
for(RG int y = x; !Isroot(y); y = fa[y]) S[++S[0]] = fa[y];
while(S[0]) Pushdown(S[S[0]--]);
for(RG int y = fa[x]; !Isroot(x); Rotate(x), y = fa[x])
if(!Isroot(y)) Son(x) ^ Son(y) ? Rotate(x) : Rotate(y);
Update(x);
} IL void Access(RG int x){
for(RG int y = 0; x; y = x, x = fa[x]) Splay(x), size[x] += sum[ch[1][x]] - sum[y], ch[1][x] = y, Update(x);
} IL void Makeroot(RG int x){ Access(x); Splay(x); Reverse(x); } IL int Findroot(RG int x){ Access(x); Splay(x); while(ch[0][x]) x = ch[0][x]; return x; } IL void Link(RG int x, RG int y){ Makeroot(x); Makeroot(y); fa[x] = y; size[y] += sum[x]; Update(y); } int main(RG int argc, RG char* argv[]){
freopen("dynamic_tree.in", "r", stdin); freopen("dynamic_tree.out", "w", stdout);
n = Read(); Q = Read();
while(Q--){
RG int op = Read(), x = Read(), y, rt;
if(op == 3) y = Read(), rt = Findroot(x), Link(x, y), Makeroot(rt);
else if(op == 2) Access(x), printf("%d\n", size[x] + 1);
else Makeroot(x);
}
return 0;
}
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