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| #include <bits/stdc++.h> using namespace std; using LL = long long; #define FOR(i, x, y) for (decay<decltype(y)>::type i = (x), _##i = (y); i < _##i; ++i) #define FORD(i, x, y) for (decay<decltype(x)>::type i = (x), _##i = (y); i > _##i; --i) #ifdef zerol #define dbg(args...) do { cout << "\033[32;1m" << #args << " -> "; err(args); } while (0) #else #define dbg(...) #endif void err() { cout << "\033[39;0m" << endl; } template<template<typename...> class T, typename t, typename... Args> void err(T<t> a, Args... args) { for (auto x: a) cout << x << ' '; err(args...); } template<typename T, typename... Args> void err(T a, Args... args) { cout << a << ' '; err(args...); } // ----------------------------------------------------------------------------- const int maxn = 1E5 + 100, INF = 1E12; vector<int> G[maxn]; LL w[maxn]; int n, Q;
namespace sg { struct Q { LL setv; explicit Q(LL setv = -1): setv(setv) {} void operator += (const Q& q) { if (q.setv != -1) setv = q.setv; } }; struct P { LL min; explicit P(LL min = INF): min(min) {} void up(Q& q) { if (q.setv != -1) min = q.setv; } }; template<typename T> P operator & (T&& a, T&& b) { return P(min(a.min, b.min)); } P p[maxn << 2]; Q q[maxn << 2]; #define lson o * 2, l, (l + r) / 2 #define rson o * 2 + 1, (l + r) / 2 + 1, r void up(int o, int l, int r) { if (l == r) p[o] = P(); else p[o] = p[o * 2] & p[o * 2 + 1]; p[o].up(q[o]); } void down(int o, int l, int r) { q[o * 2] += q[o]; q[o * 2 + 1] += q[o]; q[o] = Q(); up(lson); up(rson); } template<typename T> void build(T&& f, int o = 1, int l = 1, int r = n) { if (l == r) q[o] = f(l); else { build(f, lson); build(f, rson); } up(o, l, r); dbg(o, l, r, p[o].min, q[o].setv); } P query(int ql, int qr, int o = 1, int l = 1, int r = n) { if (ql > r || l > qr) return P(); if (ql <= l && r <= qr) return p[o]; down(o, l, r); return query(ql, qr, lson) & query(ql, qr, rson); } void update(int ql, int qr, const Q& v, int o = 1, int l = 1, int r = n) { if (ql > r || l > qr) return; if (ql <= l && r <= qr) q[o] += v; else { down(o, l, r); update(ql, qr, v, lson); update(ql, qr, v, rson); } up(o, l, r); } }
const int SP = 18; int fa[maxn], dep[maxn], idx[maxn], out[maxn], ridx[maxn], pa[maxn][SP]; namespace hlc { int sz[maxn], son[maxn], top[maxn], clk; void predfs(int u, int d) { dep[u] = d; sz[u] = 1; pa[u][0] = fa[u]; FOR (i, 1, SP) pa[u][i] = pa[pa[u][i - 1]][i - 1]; int& maxs = son[u] = -1; for (int& v: G[u]) { if (v == fa[u]) continue; fa[v] = u; predfs(v, d + 1); sz[u] += sz[v]; if (maxs == -1 || sz[v] > sz[maxs]) maxs = v; } } void dfs(int u, int tp) { top[u] = tp; idx[u] = ++clk; ridx[clk] = u; if (son[u] != -1) dfs(son[u], tp); for (int& v: G[u]) if (v != fa[u] && v != son[u]) dfs(v, v); out[u] = clk; } template<typename T> int go(int u, int v, T&& f) { int uu = top[u], vv = top[v]; while (uu != vv) { if (dep[uu] < dep[vv]) { swap(uu, vv); swap(u, v); } f(idx[uu], idx[u]); u = fa[uu]; uu = top[u]; } if (dep[u] < dep[v]) swap(u, v); f(idx[v], idx[u]); return v; } int up(int u, int v) { int dd = dep[u] - dep[v] - 1; FOR (i, 0, SP) if ((1 << i) & dd) u = pa[u][i]; return u; } }
int cap; int main() { #ifdef zerol freopen("in", "r", stdin); #endif cin >> n >> Q; FOR (_, 1, n) { int u, v; scanf("%d%d", &u, &v); G[u].push_back(v); G[v].push_back(u); } FOR (i, 1, n + 1) scanf("%lld", &w[i]); fa[1] = 1; hlc::predfs(1, 0); hlc::dfs(1, 1); sg::build([](int x)->sg::Q { return sg::Q(w[ridx[x]]); });
cin >> cap;
while (Q--) { int tp; scanf("%d", &tp); if (tp == 1) scanf("%d", &cap); else if (tp == 2) { int u, v; LL k; scanf("%d%d%lld", &u, &v, &k); hlc::go(u, v, [&](int a, int b) { sg::update(a, b, sg::Q(k)); }); } else { int x; scanf("%d", &x); int lca = hlc::go(x, cap, [](int, int) {}); dbg(cap, x, lca); if (x == cap) printf("%lld\n", sg::query(1, n).min); else if (lca != x) printf("%lld\n", sg::query(idx[x], out[x]).min); else { int t = hlc::up(cap, x); printf("%lld\n", (sg::query(1, idx[t] - 1) & sg::query(out[t] + 1, n)).min); } } } }
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