From 4edce25d94293a222baa0b1d449c0156a2d243c7 Mon Sep 17 00:00:00 2001 From: Baoshuo Date: Mon, 9 Jan 2023 10:10:35 +0800 Subject: [PATCH] =?UTF-8?q?#6565.=20=E6=9C=80=E5=81=87=E5=A5=B3=E9=80=89?= =?UTF-8?q?=E6=89=8B?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit https://loj.ac/s/1667920 --- LibreOJ/6565/6565.cpp | 313 +++++++++++++++++++++++++++++++++++++++ LibreOJ/6565/data/1.in | 3 + LibreOJ/6565/data/1.out | 3 + LibreOJ/6565/data/10.in | 3 + LibreOJ/6565/data/10.out | 3 + LibreOJ/6565/data/11.in | 3 + LibreOJ/6565/data/11.out | 3 + LibreOJ/6565/data/12.in | 3 + LibreOJ/6565/data/12.out | 3 + LibreOJ/6565/data/13.in | 3 + LibreOJ/6565/data/13.out | 3 + LibreOJ/6565/data/14.in | 3 + LibreOJ/6565/data/14.out | 3 + LibreOJ/6565/data/15.in | 3 + LibreOJ/6565/data/15.out | 3 + LibreOJ/6565/data/16.in | 3 + LibreOJ/6565/data/16.out | 3 + LibreOJ/6565/data/17.in | 3 + LibreOJ/6565/data/17.out | 3 + LibreOJ/6565/data/18.in | 3 + LibreOJ/6565/data/18.out | 3 + LibreOJ/6565/data/19.in | 3 + LibreOJ/6565/data/19.out | 3 + LibreOJ/6565/data/2.in | 3 + LibreOJ/6565/data/2.out | 3 + LibreOJ/6565/data/20.in | 3 + LibreOJ/6565/data/20.out | 3 + LibreOJ/6565/data/3.in | 3 + LibreOJ/6565/data/3.out | 3 + LibreOJ/6565/data/4.in | 3 + LibreOJ/6565/data/4.out | 3 + LibreOJ/6565/data/5.in | 3 + LibreOJ/6565/data/5.out | 3 + LibreOJ/6565/data/6.in | 3 + LibreOJ/6565/data/6.out | 3 + LibreOJ/6565/data/7.in | 3 + LibreOJ/6565/data/7.out | 3 + LibreOJ/6565/data/8.in | 3 + LibreOJ/6565/data/8.out | 3 + LibreOJ/6565/data/9.in | 3 + LibreOJ/6565/data/9.out | 3 + 41 files changed, 433 insertions(+) create mode 100644 LibreOJ/6565/6565.cpp create mode 100644 LibreOJ/6565/data/1.in create mode 100644 LibreOJ/6565/data/1.out create mode 100644 LibreOJ/6565/data/10.in create mode 100644 LibreOJ/6565/data/10.out create mode 100644 LibreOJ/6565/data/11.in create mode 100644 LibreOJ/6565/data/11.out create mode 100644 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LibreOJ/6565/data/4.out create mode 100644 LibreOJ/6565/data/5.in create mode 100644 LibreOJ/6565/data/5.out create mode 100644 LibreOJ/6565/data/6.in create mode 100644 LibreOJ/6565/data/6.out create mode 100644 LibreOJ/6565/data/7.in create mode 100644 LibreOJ/6565/data/7.out create mode 100644 LibreOJ/6565/data/8.in create mode 100644 LibreOJ/6565/data/8.out create mode 100644 LibreOJ/6565/data/9.in create mode 100644 LibreOJ/6565/data/9.out diff --git a/LibreOJ/6565/6565.cpp b/LibreOJ/6565/6565.cpp new file mode 100644 index 00000000..d87b765b --- /dev/null +++ b/LibreOJ/6565/6565.cpp @@ -0,0 +1,313 @@ +#include + +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(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(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(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; +} diff --git a/LibreOJ/6565/data/1.in b/LibreOJ/6565/data/1.in new file mode 100644 index 00000000..4c5b535d --- /dev/null +++ b/LibreOJ/6565/data/1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:cd45e9a0e0769f799f742d98081c14525ad41058e426baec5211e8e1061e9737 +size 13660961 diff --git a/LibreOJ/6565/data/1.out b/LibreOJ/6565/data/1.out new file mode 100644 index 00000000..74179e99 --- /dev/null +++ b/LibreOJ/6565/data/1.out @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid 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