From 4e3388bae2960114c5cf918d4e19ca6095accf2a Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Fri, 30 Dec 2022 18:01:27 +0800
Subject: [PATCH] =?UTF-8?q?P2824=20[HEOI2016/TJOI2016]=E6=8E=92=E5=BA=8F?=
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https://www.luogu.com.cn/record/98283167
---
 Luogu/P2824/P2824.cpp | 199 ++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 199 insertions(+)
 create mode 100644 Luogu/P2824/P2824.cpp

diff --git a/Luogu/P2824/P2824.cpp b/Luogu/P2824/P2824.cpp
new file mode 100644
index 00000000..80bbf8a3
--- /dev/null
+++ b/Luogu/P2824/P2824.cpp
@@ -0,0 +1,199 @@
+#include <iostream>
+#include <algorithm>
+#include <functional>
+#include <iterator>
+#include <tuple>
+#include <vector>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 1e5 + 5;
+
+template <typename T>
+class SegmentTree {
+  private:
+    struct node {
+        int l, r;
+        T sum, tag;
+        node *lchild, *rchild;
+
+        node(const int &_l = 0, const int &_r = 0)
+            : l(_l), r(_r), sum(0), tag(-1), lchild(nullptr), rchild(nullptr) {}
+
+        ~node() {
+            if (lchild) delete lchild;
+            if (rchild) delete rchild;
+        }
+
+        void pushup() {
+            sum = 0;
+
+            if (lchild != nullptr) sum += lchild->sum;
+            if (rchild != nullptr) sum += rchild->sum;
+        }
+
+        void pushdown() {
+            if (tag == -1) return;
+
+            int mid = (l + r) >> 1;
+
+            if (lchild == nullptr) lchild = new node(l, mid);
+            if (rchild == nullptr) rchild = new node(mid + 1, r);
+
+            lchild->sum = static_cast<T>(lchild->r - lchild->l + 1) * tag;
+            lchild->tag = tag;
+
+            rchild->sum = static_cast<T>(rchild->r - rchild->l + 1) * tag;
+            rchild->tag = tag;
+
+            tag = -1;
+        }
+    };
+
+    const int n;
+    node *root;
+
+    void modify(node *&cur, int l, int r, int ql, int qr, T val) {
+        if (cur == nullptr) cur = new node(l, r);
+
+        if (ql <= l && r <= qr) {
+            cur->sum = static_cast<T>(r - l + 1) * val;
+            cur->tag = val;
+
+            return;
+        }
+
+        int mid = (l + r) >> 1;
+
+        cur->pushdown();
+
+        if (ql <= mid) modify(cur->lchild, l, mid, ql, qr, val);
+        if (qr > mid) modify(cur->rchild, mid + 1, r, ql, qr, val);
+
+        cur->pushup();
+    }
+
+    T query(node *cur, int l, int r, int ql, int qr) {
+        if (cur == nullptr) return T();
+        if (ql <= l && r <= qr) return cur->sum;
+
+        int mid = (l + r) >> 1;
+        T res = 0;
+
+        cur->pushdown();
+
+        if (ql <= mid) res += query(cur->lchild, l, mid, ql, qr);
+        if (qr > mid) res += query(cur->rchild, mid + 1, r, ql, qr);
+
+        return res;
+    }
+
+  public:
+    SegmentTree(const int &_n)
+        : n(_n), root(nullptr) {}
+
+    SegmentTree(const std::vector<T> &vec)
+        : n(vec.size()), root(nullptr) {
+        std::function<void(node *&, int, int)> build = [&](node *&cur, int l, int r) {
+            cur = new node(l, r);
+
+            if (l == r) {
+                cur->sum = vec[l - 1];
+
+                return;
+            }
+
+            int mid = (l + r) >> 1;
+
+            build(cur->lchild, l, mid);
+            build(cur->rchild, mid + 1, r);
+
+            cur->pushup();
+        };
+
+        build(root, 1, n);
+    }
+
+    ~SegmentTree() {
+        if (root) delete root;
+    }
+
+    void modify(int ql, int qr, T val) {
+        if (ql > qr) return;
+
+        modify(root, 1, n, ql, qr, val);
+    }
+
+    T query(int ql, int qr) {
+        if (ql > qr) return T();
+
+        return query(root, 1, n, ql, qr);
+    }
+};
+
+int n, m, q, a[N];
+std::tuple<int, int, int> qs[N];
+
+bool check(int x) {
+    std::vector<int> vec;
+
+    std::transform(a + 1, a + 1 + n, std::back_inserter(vec), std::bind(std::greater_equal<>(), std::placeholders::_1, x));
+
+    SegmentTree<int> tr(vec);
+
+    for (int i = 1; i <= m; i++) {
+        int op, l, r;
+
+        std::tie(op, l, r) = qs[i];
+
+        int cnt = tr.query(l, r);
+
+        if (op == 0) {
+            tr.modify(r - cnt + 1, r, 1);
+            tr.modify(l, r - cnt, 0);
+        } else {  // op == 1
+            tr.modify(l, l + cnt - 1, 1);
+            tr.modify(l + cnt, r, 0);
+        }
+    }
+
+    return tr.query(q, q) == 1;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n >> m;
+
+    for (int i = 1; i <= n; i++) {
+        cin >> a[i];
+    }
+
+    for (int i = 1; i <= m; i++) {
+        cin >> std::get<0>(qs[i]) >> std::get<1>(qs[i]) >> std::get<2>(qs[i]);
+    }
+
+    cin >> q;
+
+    int l = 1,
+        r = n,
+        res = 0;
+
+    while (l <= r) {
+        int mid = l + r >> 1;
+
+        if (check(mid)) {
+            res = mid;
+            l = mid + 1;
+        } else {
+            r = mid - 1;
+        }
+    }
+
+    cout << res << endl;
+
+    return 0;
+}