/* -*- coding: utf-8 -*- * * 1030.cc: No.1030 だんしんぐぱーりない - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int MAX_K = 100000; const int MAX_E2 = 1 << 18; // = 262144 const int BN = 17; /* typedef */ typedef vector vi; typedef queue qi; template struct SegTreeLCA { int n, e2; T nodes[MAX_E2]; int ps[MAX_E2 / 2][BN], ds[MAX_E2 / 2]; SegTreeLCA() {} void init(int _n) { n = _n; for (e2 = 1; e2 < n; e2 <<= 1); memset(nodes, -1, sizeof(nodes)); memset(ps, -1, sizeof(ps)); memset(ds, 0, sizeof(ds)); } T &get(int i) { return nodes[e2 - 1 + i]; } int __lca(int u, int v) { if (u < 0) return v; if (v < 0) return u; if (ds[u] > ds[v]) swap(u, v); for (int i = BN - 1; i >= 0; i--) if (((ds[v] - ds[u]) >> i) & 1) v = ps[v][i]; if (u == v) return u; for(int i = BN - 1; i >= 0; i--) if (ps[u][i] != ps[v][i]) u = ps[u][i], v = ps[v][i]; return ps[u][0]; } void setall() { for (int j = e2 - 2; j >= 0; j--) nodes[j] = __lca(nodes[j * 2 + 1], nodes[j * 2 + 2]); } void set(int i, T v) { int j = e2 - 1 + i; nodes[j] = v; while (j > 0) { j = (j - 1) / 2; nodes[j] = __lca(nodes[j * 2 + 1], nodes[j * 2 + 2]); } } T lca_range(int r0, int r1, int k, int i0, int i1) { if (r1 <= i0 || i1 <= r0) return -1; if (r0 <= i0 && i1 <= r1) return nodes[k]; int im = (i0 + i1) / 2; T v0 = lca_range(r0, r1, k * 2 + 1, i0, im); T v1 = lca_range(r0, r1, k * 2 + 2, im, i1); return __lca(v0, v1); } T lca_range(int r0, int r1) { return lca_range(r0, r1, 0, 0, e2); } }; /* global variables */ int cs[MAX_N], as[MAX_K]; vi nbrs[MAX_N]; SegTreeLCA st; /* subroutines */ /* main */ int main() { int n, k, qn; scanf("%d%d%d", &n, &k, &qn); st.init(k); for (int i = 0; i < n; i++) scanf("%d", cs + i); for (int i = 0; i < k; i++) scanf("%d", as + i), as[i]--; for (int i = 1; i < n; i++) { int a, b; scanf("%d%d", &a, &b); a--, b--; st.ps[a][0] = b; nbrs[b].push_back(a); } for (int i = 0; i + 1 < BN; i++) for (int u = 0; u < n; u++) st.ps[u][i + 1] = (st.ps[u][i] >= 0) ? st.ps[st.ps[u][i]][i] : -1; st.ds[0] = 0; qi q; q.push(0); while (! q.empty()) { int u = q.front(); q.pop(); int up = st.ps[u][0]; if (up >= 0 && cs[u] < cs[up]) cs[u] = cs[up]; int vd = st.ds[u] + 1; vi &nbru = nbrs[u]; for (vi::iterator vit = nbru.begin(); vit != nbru.end(); vit++) { int v = *vit; st.ds[v] = vd; q.push(v); } } //for (int i = 0; i < n; i++) printf("%d: %d,%d\n", i, ls[i], rs[i]); for (int i = 0; i < k; i++) st.get(i) = as[i]; st.setall(); while (qn--) { int t; scanf("%d", &t); if (t == 1) { int x, y; scanf("%d%d", &x, &y); x--, y--; st.set(x, y); } else { int l, r; scanf("%d%d", &l, &r); l--; int v = st.lca_range(l, r); printf("%d\n", cs[v]); } } return 0; }