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| #include <cstdio> #include <climits> #include <queue> #include <algorithm>
const int MAXN = 80005; const int MAXN_LOG = 20; struct PSegT { int l, r; PSegT *lc, *rc; int cnt; PSegT(int l, int r, PSegT *lc = NULL, PSegT *rc = NULL) : l(l), r(r), lc(lc), rc(rc), cnt((lc ? lc->cnt : 0) + (rc ? rc->cnt : 0)) {} PSegT(int l, int r, int cnt) : l(l), r(r), cnt(cnt), lc(NULL), rc(NULL) {} void pushDown() { if (lc && rc) return; int mid = l + (r - l) / 2; if (!lc) lc = new PSegT(l, mid); if (!rc) rc = new PSegT(mid + 1, r); } PSegT *insert(int x) { if (x < l || x > r) return this; if (x == l && x == r) return new PSegT(l, r, cnt + 1); int mid = l + (r - l) / 2; pushDown(); if (x <= mid) return new PSegT(l, r, lc->insert(x), rc); else return new PSegT(l, r, lc, rc->insert(x)); } int rank() { return lc ? lc->cnt : 0; } } *root; struct Edge; struct Node { Edge *e; PSegT *seg; Node *f[MAXN_LOG]; int w, belong, dep; #ifdef DBG int id; #endif } N[MAXN]; struct Edge { Node *u, *v; Edge *next; Edge(Node *u, Node *v) : u(u), v(v), next(u->e) {} }; void addEdge(int u, int v) { #ifdef DBG printf("edge: %d --- %d\n", u, v); #endif N[u].e = new Edge(&N[u], &N[v]); N[v].e = new Edge(&N[v], &N[u]); } int n, ccCnt, logn = 0; void bfs(Node *s, bool init = true) { ++ccCnt; std::queue<Node *> q; s->belong = ccCnt; if (init) { s->f[0] = s; s->seg = root->insert(s->w); s->dep = 0; } q.push(s); while (!q.empty()) { Node *u = q.front(); q.pop(); for (int i = 1; i <= logn; i++) u->f[i] = u->f[i - 1]->f[i - 1]; for (Edge *e = u->e; e; e = e->next) if (e->v->belong != ccCnt && (init || e->v != s->f[0])) { e->v->belong = ccCnt; e->v->f[0] = u; e->v->dep = u->dep + 1; e->v->seg = u->seg->insert(e->v->w); q.push(e->v); } } } void bfs() { for (int i = 1; i <= n; i++) if (N[i].belong == 0) bfs(&N[i]); } struct UnionFindSet { int fa[MAXN], size[MAXN]; void init(int n) { for (int i = 1; i <= n; i++) fa[i] = i, size[i] = 1; } int find(int x) { return x == fa[x] ? x : fa[x] = find(fa[x]); } void merge(int x, int y) { int p = find(x), q = find(y); if (size[p] > size[q]) std::swap(p, q); fa[p] = q; size[q] += size[p]; } int getSize(int x) { return size[find(x)]; } } ufs; void link(int u, int v) { int su = ufs.getSize(u), sv = ufs.getSize(v); if (su > sv) std::swap(u, v); addEdge(u, v); N[u].f[0] = &N[v]; N[u].seg = N[v].seg->insert(N[u].w); N[u].dep = N[v].dep + 1; bfs(&N[u], false); ufs.merge(u, v); } Node *lca(Node *u, Node *v) { if (u->dep < v->dep) std::swap(u, v); #ifdef DBG printf("lca(%d, %d), u.dep = %d, v.dep = %d\n", u->id, v->id, u->dep, v->dep); #endif if (u->dep != v->dep) for (int i = logn; ~i; i--) if (u->f[i]->dep >= v->dep) u = u->f[i]; if (u != v) { for (int i = logn; ~i; i--) if (u->f[i] != v->f[i]) u = u->f[i], v = v->f[i]; return u->f[0]; } return u; } int query(Node *u, Node *v, int k) { Node *p = lca(u, v); int l = 1, r = n; PSegT *su = u->seg, *sv = v->seg, *sp = p->seg, *sf = p != p->f[0] ? p->f[0]->seg : root; #ifdef DBG printf("Q %d %d %d, lca = %d\n", u->id, v->id, k, p->id); #endif while (l < r) { int mid = l + (r - l) / 2; int t = 0; if (su) t += su->rank(); if (sv) t += sv->rank(); if (sp) t -= sp->rank(); if (sf) t -= sf->rank(); if (k <= t) { if (su) su = su->lc; if (sv) sv = sv->lc; if (sp) sp = sp->lc; if (sf) sf = sf->lc; r = mid; } else { if (su) su = su->rc; if (sv) sv = sv->rc; if (sp) sp = sp->rc; if (sf) sf = sf->rc; k -= t; l = mid + 1; } } return l; } int map[MAXN]; void discretization() { std::sort(map + 1, map + n + 1); int *end = std::unique(map + 1, map + n + 1); for (int i = 1; i <= n; i++) N[i].w = std::lower_bound(map + 1, end, N[i].w) - map; } int main() { scanf("%*d"); int m, q; scanf("%d %d %d", &n, &m, &q); ufs.init(n); #ifdef DBG for (int i = 1; i <= n; i++) N[i].id = i; #endif for (; 1 << (logn + 1) <= n; logn++); for (int i = 1; i <= n; i++) scanf("%d", &N[i].w), map[i] = N[i].w; discretization(); root = new PSegT(1, n); for (int i = 0; i < m; i++) { int u, v; scanf("%d %d", &u, &v); addEdge(u, v); ufs.merge(u, v); } bfs(); int lastAns = 0; while (q--) { char op[2]; int u, v; scanf("%s %d %d", op, &u, &v); u ^= lastAns; v ^= lastAns; #ifdef DBG printf("%s %d %d\n", op, u, v); #endif if (op[0] == 'Q') { int k; scanf("%d", &k); k ^= lastAns; printf("%d\n", lastAns = map[query(&N[u], &N[v], k)]); } else link(u, v); } return 0; }
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