This documentation is automatically generated by online-judge-tools/verification-helper
This project is maintained by tsutaj
// @category セグメント木 (Segment Tree) // @title 双対セグメント木 (Dual Segment Tree) // 双対セグメント木 (Dual Segment Tree) // ref: https://kimiyuki.net/blog/2019/02/22/dual-segment-tree/ template <typename MonoidType, typename OperatorType> struct DualSegmentTree { using MOtoM = function< MonoidType(MonoidType, OperatorType) >; using OOtoO = function< OperatorType(OperatorType, OperatorType) >; int n; vector<MonoidType> bottom; vector<OperatorType> lazy; OperatorType E; // update / lazy function MOtoM upd_f; OOtoO lzy_f; inline void build(const vector<MonoidType> &v) { int m = v.size(); n = 1; while(n < m) n *= 2; bottom = v; bottom.resize(n); lazy.resize(n - 1, E); } DualSegmentTree() {} DualSegmentTree(OperatorType E_, MOtoM upd_f_, OOtoO lzy_f_, vector<MonoidType> v = vector<MonoidType>()) : E(E_), upd_f(upd_f_), lzy_f(lzy_f_) { build(v); } void update(int a, int b, OperatorType x, int l, int r, size_t k) { if(b <= l or r <= a) return; if(a <= l and r <= b) { if(k < lazy.size()) lazy[k] = lzy_f(lazy[k], x); else bottom[k-n+1] = upd_f(bottom[k-n+1], x); } else { int mid = (l + r) >> 1; update(0, n, lazy[k], l, mid, 2*k+1); update(0, n, lazy[k], mid, r, 2*k+2); lazy[k] = E; update(a, b, x, l, mid, 2*k+1); update(a, b, x, mid, r, 2*k+2); } } void update(int a, int b, OperatorType x) { update(a, b, x, 0, n, 0); } MonoidType query(int k) { MonoidType res = bottom[k]; for(k = (k+n)>>1; k>0; k>>=1) { // 1-indexed res = upd_f(res, lazy[k-1]); } return res; } };
#line 1 "structure/strc_022_dual_segtree.cpp" // @category セグメント木 (Segment Tree) // @title 双対セグメント木 (Dual Segment Tree) // 双対セグメント木 (Dual Segment Tree) // ref: https://kimiyuki.net/blog/2019/02/22/dual-segment-tree/ template <typename MonoidType, typename OperatorType> struct DualSegmentTree { using MOtoM = function< MonoidType(MonoidType, OperatorType) >; using OOtoO = function< OperatorType(OperatorType, OperatorType) >; int n; vector<MonoidType> bottom; vector<OperatorType> lazy; OperatorType E; // update / lazy function MOtoM upd_f; OOtoO lzy_f; inline void build(const vector<MonoidType> &v) { int m = v.size(); n = 1; while(n < m) n *= 2; bottom = v; bottom.resize(n); lazy.resize(n - 1, E); } DualSegmentTree() {} DualSegmentTree(OperatorType E_, MOtoM upd_f_, OOtoO lzy_f_, vector<MonoidType> v = vector<MonoidType>()) : E(E_), upd_f(upd_f_), lzy_f(lzy_f_) { build(v); } void update(int a, int b, OperatorType x, int l, int r, size_t k) { if(b <= l or r <= a) return; if(a <= l and r <= b) { if(k < lazy.size()) lazy[k] = lzy_f(lazy[k], x); else bottom[k-n+1] = upd_f(bottom[k-n+1], x); } else { int mid = (l + r) >> 1; update(0, n, lazy[k], l, mid, 2*k+1); update(0, n, lazy[k], mid, r, 2*k+2); lazy[k] = E; update(a, b, x, l, mid, 2*k+1); update(a, b, x, mid, r, 2*k+2); } } void update(int a, int b, OperatorType x) { update(a, b, x, 0, n, 0); } MonoidType query(int k) { MonoidType res = bottom[k]; for(k = (k+n)>>1; k>0; k>>=1) { // 1-indexed res = upd_f(res, lazy[k-1]); } return res; } };