#include #include #include #include using std::cin; using std::cout; const char endl = '\n'; const int N = 5e4 + 5; class Treap { private: struct node { node *lchild, *rchild; int size, value, key; node() : lchild(nullptr), rchild(nullptr), size(0), value(0), key(rand()) {} node(int _value) : lchild(nullptr), rchild(nullptr), size(1), value(_value), key(rand()) {} ~node() { delete lchild; delete rchild; } inline void pushup() { size = 1; if (lchild != nullptr) size += lchild->size; if (rchild != nullptr) size += rchild->size; } } * root; inline int getNodeSize(node *node) { return node == nullptr ? 0 : node->size; } std::pair split(node *p, int k) { if (p == nullptr) return std::make_pair(nullptr, nullptr); if (k <= getNodeSize(p->lchild)) { auto o = split(p->lchild, k); p->lchild = o.second; p->pushup(); o.second = p; return o; } auto o = split(p->rchild, k - getNodeSize(p->lchild) - 1); p->rchild = o.first; p->pushup(); o.first = p; return o; } std::pair splitByValue(node *p, int value) { if (p == nullptr) return std::make_pair(nullptr, nullptr); if (p->value < value) { auto o = splitByValue(p->rchild, value); p->rchild = o.first; p->pushup(); o.first = p; return o; } auto o = splitByValue(p->lchild, value); p->lchild = o.second; p->pushup(); o.second = p; return o; } node *merge(node *x, node *y) { if (x == nullptr) return y; if (y == nullptr) return x; if (x->key > y->key) { x->rchild = merge(x->rchild, y); x->pushup(); return x; } y->lchild = merge(x, y->lchild); y->pushup(); return y; } public: Treap() : root(nullptr) {} ~Treap() { delete root; } inline void insert(int value) { auto o = splitByValue(root, value); o.first = merge(o.first, new node(value)); root = merge(o.first, o.second); } inline void erase(int value) { auto o = splitByValue(root, value); auto t = split(o.second, 1); if (t.first->value == value) { delete t.first; } root = merge(o.first, t.second); } inline int rank(int value) { auto x = splitByValue(root, value); int r = getNodeSize(x.first) + 1; root = merge(x.first, x.second); return r; } inline int kth(int k) { auto x = split(root, k - 1); auto y = split(x.second, 1); Treap::node *o = y.first; root = merge(x.first, merge(y.first, y.second)); return o == nullptr ? 0 : o->value; } inline int pre(int x) { int k = rank(x) - 1; return k > 0 ? kth(k) : std::numeric_limits::min() + 1; } inline int suc(int x) { int k = rank(x + 1); return k > getNodeSize(root) ? std::numeric_limits::max() : kth(k); } }; struct node : Treap { int l, r; node *lchild, *rchild; node() : l(0), r(0), lchild(nullptr), rchild(nullptr) {} node(const int &_l, const int &_r) : l(_l), r(_r), lchild(nullptr), rchild(nullptr) {} ~node() { if (lchild != nullptr) delete lchild; if (rchild != nullptr) delete rchild; } } * root; int n, m, a[N]; void build(node *&u, int l, int r) { u = new node(l, r); for (int i = l; i <= r; i++) { u->insert(a[i]); } if (l == r) return; int mid = (l + r) >> 1; build(u->lchild, l, mid); build(u->rchild, mid + 1, r); } int query_rank(node *u, int l, int r, int x) { if (l <= u->l && u->r <= r) { return u->rank(x) - 1; } int mid = (u->l + u->r) >> 1; int res = 0; if (l <= mid) res += query_rank(u->lchild, l, r, x); if (r > mid) res += query_rank(u->rchild, l, r, x); return res; } int query_kth(int _l, int _r, int k) { int l = 0, r = 1e8, res = -1; while (l <= r) { int mid = (l + r + 1) >> 1; if (query_rank(root, _l, _r, mid) + 1 <= k) { l = mid + 1; res = mid; } else { r = mid - 1; } } return res; } void modify(node *u, int p, int x) { u->erase(a[p]); u->insert(x); if (u->l == u->r) return; int mid = (u->l + u->r) >> 1; if (p <= mid) modify(u->lchild, p, x); else modify(u->rchild, p, x); } int query_pre(node *u, int l, int r, int x) { if (l <= u->l && u->r <= r) { return u->pre(x); } int mid = (u->l + u->r) >> 1; int res = std::numeric_limits::min() + 1; if (l <= mid) res = std::max(res, query_pre(u->lchild, l, r, x)); if (r > mid) res = std::max(res, query_pre(u->rchild, l, r, x)); return res; } int query_suc(node *u, int l, int r, int x) { if (l <= u->l && u->r <= r) { return u->suc(x); } int mid = (u->l + u->r) >> 1; int res = std::numeric_limits::max(); if (l <= mid) res = std::min(res, query_suc(u->lchild, l, r, x)); if (r > mid) res = std::min(res, query_suc(u->rchild, l, r, x)); return res; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> m; for (int i = 1; i <= n; i++) { cin >> a[i]; } build(root, 1, n); while (m--) { int op; cin >> op; if (op == 1) { int l, r, x; cin >> l >> r >> x; cout << query_rank(root, l, r, x) + 1 << endl; } else if (op == 2) { int l, r, k; cin >> l >> r >> k; cout << query_kth(l, r, k) << endl; } else if (op == 3) { int p, x; cin >> p >> x; modify(root, p, x); a[p] = x; } else if (op == 4) { int l, r, x; cin >> l >> r >> x; cout << query_pre(root, l, r, x) << endl; } else { // op == 5 int l, r, x; cin >> l >> r >> x; cout << query_suc(root, l, r, x) << endl; } } delete root; return 0; }