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| #include <bits/stdc++.h> #define mp make_pair #define pb push_back #define sz(x) (int)x.size() #define all(x) begin(x), end(x) #define fi first #define se second #define debug(x) cerr << #x << " " << x << '\n' using namespace std; using ll = long long; using pii = pair<int,int>; using pli = pair<ll,int>; const int INF = 0x3f3f3f3f, N = 3e5 + 5; const ll LINF = 1e18 + 5; constexpr int mod = 1e9 + 7; int id, n, m, tot, w[N]; pii p[N]; struct LCT { int ch[N][2], fa[N], rev[N]; int sum[N], sum2[N], val[N]; void clear(int x) { ch[x][0] = ch[x][1] = fa[x] = rev[x] = 0; sum[x] = sum2[x] = val[x] = 0; } int getch(int x) { return ch[fa[x]][1]==x; } int noroot(int x) { return ch[fa[x]][0]==x || ch[fa[x]][1]==x; } void pushup(int x) { if(x) sum[x] = sum[ch[x][0]] ^ sum[ch[x][1]] ^ sum2[x] ^ val[x]; } void reverse(int x) { swap(ch[x][0], ch[x][1]); rev[x] ^= 1; } void pushdown(int x) { if(rev[x]) { if(ch[x][0]) reverse(ch[x][0]); if(ch[x][1]) reverse(ch[x][1]); rev[x] = 0; } } void pushall(int x) { if(noroot(x)) pushall(fa[x]); pushdown(x); } void rotate(int x) { int y = fa[x], z = fa[y], chx = getch(x), chy = getch(y); fa[x] = z; if(noroot(y)) ch[z][chy] = x; ch[y][chx] = ch[x][chx^1]; fa[ch[x][chx^1]] = y; ch[x][chx^1] = y; fa[y] = x; pushup(y); pushup(x); pushup(z); } void splay(int x) { pushall(x); for(int f=fa[x]; f=fa[x], noroot(x); rotate(x)) if(noroot(f)) rotate(getch(x) == getch(f) ? f : x); } void access(int x) { for(int y=0; x; x=fa[y=x]) { splay(x); sum2[x] ^= sum[ch[x][1]] ^ sum[y]; ch[x][1] = y; pushup(x); } } void makeroot(int x) { access(x); splay(x); reverse(x); } int findroot(int x) { access(x); splay(x); while(ch[x][0]) pushdown(x), x = ch[x][0]; splay(x); return x; } void split(int x,int y) { makeroot(x); access(y); splay(y); } void link(int x,int y) { makeroot(x); makeroot(y); fa[x] = y; sum2[y] ^= sum[x]; } void cut(int x,int y) { split(x,y); fa[x] = ch[y][0]=0; pushup(y); } }T; int all; int main() { srand(114514); scanf("%d%d%d", &id, &n, &m); for(int i=1; i<n; i++) { int u, v; scanf("%d%d", &u, &v); T.link(u, v); } while(m--) { int op, x; scanf("%d%d", &op, &x); if(op==1) { int y, u, v; scanf("%d%d%d", &y, &u, &v); T.cut(x, y); T.link(u, v); } else if(op==2) { int y; scanf("%d", &y); p[++tot] = {x, y}; w[tot] = rand(); T.makeroot(x); T.val[x] ^= w[tot]; T.makeroot(y); T.val[y] ^= w[tot]; all ^= w[tot]; } else if(op==3) { T.makeroot(p[x].fi); T.val[p[x].fi] ^= w[x]; T.makeroot(p[x].se); T.val[p[x].se] ^= w[x]; all ^= w[x]; } else { int y; scanf("%d", &y); T.split(x, y); if(T.sum[x]==all) puts("YES"); else puts("NO"); } } return 0; }
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