sotanishy's code snippets for competitive programming
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#include "data-structure/segtree/dual_segment_tree_2d.hpp"
#pragma once #include <algorithm> #include <bit> #include <cassert> #include <utility> #include <vector> #include "dual_segment_tree.hpp" /** * @brief 2D Dual Segment Tree */ template <typename X, typename Y, typename M> class DualSegmentTree2D { using T = M::T; public: DualSegmentTree2D() = default; explicit DualSegmentTree2D(const std::vector<std::pair<X, Y>>& pts) { for (auto& [x, y] : pts) { xs.push_back(x); } std::ranges::sort(xs); xs.erase(std::ranges::unique(xs).begin(), xs.end()); const int n = xs.size(); size = std::bit_ceil((unsigned int)n); ys.resize(2 * size); seg.resize(2 * size); for (auto& [x, y] : pts) { ys[size + getx(x)].push_back(y); } for (int i = size + n - 1; i > 0; --i) { if (i >= size) { std::ranges::sort(ys[i]); } else { std::ranges::merge(ys[2 * i], ys[2 * i + 1], std::back_inserter(ys[i])); } ys[i].erase(std::ranges::unique(ys[i]).begin(), ys[i].end()); } for (int i = 1; i < size + n; ++i) { seg[i] = DualSegmentTree<M>(ys[i].size()); } } T get(X x, Y y) { int kx = getx(x); assert(kx < (int)xs.size() && xs[kx] == x); T ret = M::id(); for (kx += size; kx > 0; kx >>= 1) { int ky = gety(kx, y); assert(ky < (int)ys[kx].size() && ys[kx][ky] == y); ret = M::op(ret, seg[kx][ky]); } return ret; } void update(X sx, X tx, Y sy, Y ty, T val) { for (int l = size + getx(sx), r = size + getx(tx); l < r; l >>= 1, r >>= 1) { if (l & 1) { seg[l].update(gety(l, sy), gety(l, ty), val); ++l; } if (r & 1) { --r; seg[r].update(gety(r, sy), gety(r, ty), val); } } } private: int size; std::vector<X> xs; std::vector<std::vector<Y>> ys; std::vector<DualSegmentTree<M>> seg; int getx(X x) const { return std::ranges::lower_bound(xs, x) - xs.begin(); } int gety(int k, Y y) const { return std::ranges::lower_bound(ys[k], y) - ys[k].begin(); } };
#line 2 "data-structure/segtree/dual_segment_tree_2d.hpp" #include <algorithm> #include <bit> #include <cassert> #include <utility> #include <vector> #line 4 "data-structure/segtree/dual_segment_tree.hpp" template <typename M> class DualSegmentTree { using T = typename M::T; public: DualSegmentTree() = default; explicit DualSegmentTree(int n) : size(std::bit_ceil((unsigned int)n)), height(std::bit_width((unsigned int)size) - 1), lazy(2 * size, M::id()) {} T operator[](int k) { k += size; propagate(k); return lazy[k]; } void update(int l, int r, const T& x) { if (l >= r) return; l += size; r += size; propagate(l); propagate(r - 1); for (; l < r; l >>= 1, r >>= 1) { if (l & 1) lazy[l] = M::op(lazy[l], x), ++l; if (r & 1) --r, lazy[r] = M::op(lazy[r], x); } } private: int size, height; std::vector<T> lazy; void push(int k) { if (lazy[k] == M::id()) return; lazy[2 * k] = M::op(lazy[2 * k], lazy[k]); lazy[2 * k + 1] = M::op(lazy[2 * k + 1], lazy[k]); lazy[k] = M::id(); } void propagate(int k) { for (int i = height; i > 0; --i) push(k >> i); } }; #line 9 "data-structure/segtree/dual_segment_tree_2d.hpp" /** * @brief 2D Dual Segment Tree */ template <typename X, typename Y, typename M> class DualSegmentTree2D { using T = M::T; public: DualSegmentTree2D() = default; explicit DualSegmentTree2D(const std::vector<std::pair<X, Y>>& pts) { for (auto& [x, y] : pts) { xs.push_back(x); } std::ranges::sort(xs); xs.erase(std::ranges::unique(xs).begin(), xs.end()); const int n = xs.size(); size = std::bit_ceil((unsigned int)n); ys.resize(2 * size); seg.resize(2 * size); for (auto& [x, y] : pts) { ys[size + getx(x)].push_back(y); } for (int i = size + n - 1; i > 0; --i) { if (i >= size) { std::ranges::sort(ys[i]); } else { std::ranges::merge(ys[2 * i], ys[2 * i + 1], std::back_inserter(ys[i])); } ys[i].erase(std::ranges::unique(ys[i]).begin(), ys[i].end()); } for (int i = 1; i < size + n; ++i) { seg[i] = DualSegmentTree<M>(ys[i].size()); } } T get(X x, Y y) { int kx = getx(x); assert(kx < (int)xs.size() && xs[kx] == x); T ret = M::id(); for (kx += size; kx > 0; kx >>= 1) { int ky = gety(kx, y); assert(ky < (int)ys[kx].size() && ys[kx][ky] == y); ret = M::op(ret, seg[kx][ky]); } return ret; } void update(X sx, X tx, Y sy, Y ty, T val) { for (int l = size + getx(sx), r = size + getx(tx); l < r; l >>= 1, r >>= 1) { if (l & 1) { seg[l].update(gety(l, sy), gety(l, ty), val); ++l; } if (r & 1) { --r; seg[r].update(gety(r, sy), gety(r, ty), val); } } } private: int size; std::vector<X> xs; std::vector<std::vector<Y>> ys; std::vector<DualSegmentTree<M>> seg; int getx(X x) const { return std::ranges::lower_bound(xs, x) - xs.begin(); } int gety(int k, Y y) const { return std::ranges::lower_bound(ys[k], y) - ys[k].begin(); } };