#6565. 最假女选手

https://loj.ac/s/1667920

LibreOJ/6565/6565.cpp

@@ -0,0 +1,313 @@
+#include <iostream>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 5e5 + 5;
+const int INF = 0x3f3f3f3f;
+
+int n, m, a[N];
+
+struct node {
+    int l, r;
+    long long sum;
+    int max, max_2nd,
+        min, min_2nd;
+    int cnt_max, cnt_min;
+    int tag_add, tag_max, tag_min;
+
+    node(const int &_l = 0, const int &_r = 0)
+        : l(_l),
+          r(_r),
+          sum(0),
+          max(0),
+          max_2nd(-INF),
+          min(0),
+          min_2nd(INF),
+          cnt_max(1),
+          cnt_min(1),
+          tag_add(0),
+          tag_max(-INF),
+          tag_min(INF) {}
+} tr[N << 2];
+
+void pushup(int u) {
+    auto &p = tr[u],
+         &l = tr[u << 1],
+         &r = tr[u << 1 | 1];
+
+    p.sum = l.sum + r.sum;
+
+    if (l.max == r.max) {
+        p.max = l.max;
+        p.max_2nd = std::max(l.max_2nd, r.max_2nd);
+        p.cnt_max = l.cnt_max + r.cnt_max;
+    } else if (l.max > r.max) {
+        p.max = l.max;
+        p.max_2nd = std::max(l.max_2nd, r.max);
+        p.cnt_max = l.cnt_max;
+    } else {  // l.max < r.max
+        p.max = r.max;
+        p.max_2nd = std::max(l.max, r.max_2nd);
+        p.cnt_max = r.cnt_max;
+    }
+
+    if (l.min == r.min) {
+        p.min = l.min;
+        p.min_2nd = std::min(l.min_2nd, r.min_2nd);
+        p.cnt_min = l.cnt_min + r.cnt_min;
+    } else if (l.min < r.min) {
+        p.min = l.min;
+        p.min_2nd = std::min(l.min_2nd, r.min);
+        p.cnt_min = l.cnt_min;
+    } else {  // l.min > r.min
+        p.min = r.min;
+        p.min_2nd = std::min(l.min, r.min_2nd);
+        p.cnt_min = r.cnt_min;
+    }
+}
+
+void push_add(int u, int x) {
+    tr[u].sum += static_cast<long long>(tr[u].r - tr[u].l + 1) * x;
+
+    tr[u].max += x;
+    if (tr[u].max_2nd != -INF) tr[u].max_2nd += x;
+    if (tr[u].tag_max != -INF) tr[u].tag_max += x;
+
+    tr[u].min += x;
+    if (tr[u].min_2nd != INF) tr[u].min_2nd += x;
+    if (tr[u].tag_min != INF) tr[u].tag_min += x;
+
+    tr[u].tag_add += x;
+}
+
+void push_max(int u, int x) {
+    if (x <= tr[u].min) return;
+
+    tr[u].sum += static_cast<long long>(x - tr[u].min) * tr[u].cnt_min;
+
+    if (tr[u].max_2nd == tr[u].min) tr[u].max_2nd = x;
+    if (tr[u].max == tr[u].min) tr[u].max = x;
+
+    tr[u].min = x;
+    tr[u].tag_min = std::max(tr[u].tag_min, x);
+    tr[u].tag_max = x;
+}
+
+void push_min(int u, int x) {
+    if (tr[u].max <= x) return;
+
+    tr[u].sum += static_cast<long long>(x - tr[u].max) * tr[u].cnt_max;
+
+    if (tr[u].min_2nd == tr[u].max) tr[u].min_2nd = x;
+    if (tr[u].min == tr[u].max) tr[u].min = x;
+
+    tr[u].max = x;
+    tr[u].tag_max = std::min(tr[u].tag_max, x);
+    tr[u].tag_min = x;
+}
+
+void pushdown(int u) {
+    if (tr[u].tag_add) {
+        push_add(u << 1, tr[u].tag_add);
+        push_add(u << 1 | 1, tr[u].tag_add);
+        tr[u].tag_add = 0;
+    }
+
+    if (tr[u].tag_max != -INF) {
+        push_max(u << 1, tr[u].tag_max);
+        push_max(u << 1 | 1, tr[u].tag_max);
+        tr[u].tag_max = -INF;
+    }
+
+    if (tr[u].tag_min != INF) {
+        push_min(u << 1, tr[u].tag_min);
+        push_min(u << 1 | 1, tr[u].tag_min);
+        tr[u].tag_min = INF;
+    }
+}
+
+void build(int u, int l, int r) {
+    tr[u] = node(l, r);
+
+    if (l == r) {
+        tr[u].sum = tr[u].max = tr[u].min = a[l];
+
+        return;
+    }
+
+    int mid = (l + r) >> 1;
+
+    build(u << 1, l, mid);
+    build(u << 1 | 1, mid + 1, r);
+
+    pushup(u);
+}
+
+/**
+ * 对于所有的 i ∈ [l, r]，将 a[i] 加上 k
+ */
+void modify_add(int u, int l, int r, int x) {
+    if (l <= tr[u].l && tr[u].r <= r) {
+        push_add(u, x);
+
+        return;
+    }
+
+    pushdown(u);
+
+    int mid = (tr[u].l + tr[u].r) >> 1;
+
+    if (l <= mid) modify_add(u << 1, l, r, x);
+    if (r > mid) modify_add(u << 1 | 1, l, r, x);
+
+    pushup(u);
+}
+
+/**
+ * 对于所有的 i ∈ [l, r]，将 a[i] 变为 max(a[i], v)
+ */
+void modify_max(int u, int l, int r, int x) {
+    if (x <= tr[u].min) return;
+
+    if (l <= tr[u].l && tr[u].r <= r && x < tr[u].min_2nd) {
+        push_max(u, x);
+
+        return;
+    }
+
+    pushdown(u);
+
+    int mid = (tr[u].l + tr[u].r) >> 1;
+
+    if (l <= mid) modify_max(u << 1, l, r, x);
+    if (r > mid) modify_max(u << 1 | 1, l, r, x);
+
+    pushup(u);
+}
+
+/**
+ * 对于所有的 i ∈ [l, r]，将 a[i] 变为 min(a[i], v)
+ */
+void modify_min(int u, int l, int r, int x) {
+    if (tr[u].max <= x) return;
+
+    if (l <= tr[u].l && tr[u].r <= r && tr[u].max_2nd < x) {
+        push_min(u, x);
+
+        return;
+    }
+
+    pushdown(u);
+
+    int mid = (tr[u].l + tr[u].r) >> 1;
+
+    if (l <= mid) modify_min(u << 1, l, r, x);
+    if (r > mid) modify_min(u << 1 | 1, l, r, x);
+
+    pushup(u);
+}
+
+long long query_sum(int u, int l, int r) {
+    if (l <= tr[u].l && tr[u].r <= r) return tr[u].sum;
+
+    pushdown(u);
+
+    int mid = (tr[u].l + tr[u].r) >> 1;
+    long long res = 0;
+
+    if (l <= mid) res += query_sum(u << 1, l, r);
+    if (r > mid) res += query_sum(u << 1 | 1, l, r);
+
+    return res;
+}
+
+int query_max(int u, int l, int r) {
+    if (l <= tr[u].l && tr[u].r <= r) return tr[u].max;
+
+    pushdown(u);
+
+    int mid = (tr[u].l + tr[u].r) >> 1,
+        res = -INF;
+
+    if (l <= mid) res = std::max(res, query_max(u << 1, l, r));
+    if (r > mid) res = std::max(res, query_max(u << 1 | 1, l, r));
+
+    return res;
+}
+
+int query_min(int u, int l, int r) {
+    if (l <= tr[u].l && tr[u].r <= r) return tr[u].min;
+
+    pushdown(u);
+
+    int mid = (tr[u].l + tr[u].r) >> 1,
+        res = INF;
+
+    if (l <= mid) res = std::min(res, query_min(u << 1, l, r));
+    if (r > mid) res = std::min(res, query_min(u << 1 | 1, l, r));
+
+    return res;
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n;
+
+    for (int i = 1; i <= n; i++) {
+        cin >> a[i];
+    }
+
+    build(1, 1, n);
+
+    cin >> m;
+
+    while (m--) {
+        int op;
+
+        cin >> op;
+
+        if (op == 1) {
+            int l, r, x;
+
+            cin >> l >> r >> x;
+
+            modify_add(1, l, r, x);
+        } else if (op == 2) {
+            int l, r, x;
+
+            cin >> l >> r >> x;
+
+            modify_max(1, l, r, x);
+        } else if (op == 3) {
+            int l, r, x;
+
+            cin >> l >> r >> x;
+
+            modify_min(1, l, r, x);
+        } else if (op == 4) {
+            int l, r;
+
+            cin >> l >> r;
+
+            cout << query_sum(1, l, r) << endl;
+        } else if (op == 5) {
+            int l, r;
+
+            cin >> l >> r;
+
+            cout << query_max(1, l, r) << endl;
+        } else {  // op == 6
+            int l, r;
+
+            cin >> l >> r;
+
+            cout << query_min(1, l, r) << endl;
+        }
+    }
+
+    return 0;
+}