标签:sub 一段 algo getchar read code 求和 btree ret
如果是求和就很好做了...
不是求和也无伤大雅....
一维太难限制条件了,考虑二维限制
一维$dfs$序,一维$dep$序
询问$(x, k)$对应着在$dfs$上查$[dfn[x], dfn[x] + sz[x] - 1]$,在$dep$序上查$[dep[x], dep[x] + k]$
这样子,每个询问对应查询一段矩形内的最小值
然而树套树是过不了的.....
发现一个询问看似在$dep$序上对应了一段区间,实际上可以扩展到对应一段前缀
这样子,只需要一个主席树就可以做到了
复杂度$O(n \log n)$
#include <map> #include <queue> #include <vector> #include <cstdio> #include <cstring> #include <iostream> #include <algorithm> namespace remoon { #define ri register int #define tpr template <typename ra> #define rep(iu, st, ed) for(ri iu = st; iu <= ed; iu ++) #define drep(iu, ed, st) for(ri iu = ed; iu >= st; iu --) #define gc getchar inline int read() { int p = 0, w = 1; char c = gc(); while(c > ‘9‘ || c < ‘0‘) { if(c == ‘-‘) w = -1; c = gc(); } while(c >= ‘0‘ && c <= ‘9‘) p = p * 10 + c - ‘0‘, c = gc(); return p * w; } int wr[50], rw; #define pc(iw) putchar(iw) tpr inline void write(ra o, char c = ‘\n‘) { if(!o) pc(‘0‘); if(o < 0) o = -o, pc(‘-‘); while(o) wr[++ rw] = o % 10, o /= 10; while(rw) pc(wr[rw --] + ‘0‘); pc(c); } tpr inline void cmin(ra &a, ra b) { if(a > b) a = b; } tpr inline void cmax(ra &a, ra b) { if(a < b) a = b; } tpr inline bool ckmin(ra &a, ra b) { return (a > b) ? a = b, 1 : 0; } tpr inline bool ckmax(ra &a, ra b) { return (a < b) ? a = b, 1 : 0; } } using namespace std; using namespace remoon; #define sid 300050 #define oid 12050000 int dfn[sid], sz[sid]; int n, r, m, id, tim, cnp, mxd; int rt[sid], nxt[sid], node[sid], cap[sid]; int fa[sid], q[sid], w[sid], dep[sid]; int ls[oid], rs[oid], miv[oid]; inline void addedge(int u, int v) { nxt[++ cnp] = cap[u]; cap[u] = cnp; node[cnp] = v; } #define cur node[i] inline void dfs(int o, int f) { fa[o] = f; dep[o] = dep[f] + 1; sz[o] = 1; dfn[o] = ++ tim; for(int i = cap[o]; i; i = nxt[i]) if(cur != f) dfs(cur, o), sz[o] += sz[cur]; } inline void update(int &now, int pre, int l, int r, int p, int v) { now = ++ id; ls[now] = ls[pre]; rs[now] = rs[pre]; miv[now] = min(miv[pre], v); if(l == r) return; int mid = (l + r) >> 1; if(p <= mid) update(ls[now], ls[pre], l, mid, p, v); else update(rs[now], rs[pre], mid + 1, r, p, v); } inline void insert(int &now, int pre, int l, int r, int p, int v) { now = ++ id; ls[now] = ls[pre]; rs[now] = rs[pre]; miv[now] = min(miv[pre], v); if(l == r) return; int mid = (l + r) >> 1; if(p <= mid) insert(ls[now], ls[pre], l, mid, p, v); else insert(rs[now], rs[pre], mid + 1, r, p, v); } inline void build() { int fr = 1, to = 0; q[++ to] = r; miv[0] = 1e9; while(fr <= to) { int o = q[fr]; for(ri i = cap[o]; i; i = nxt[i]) if(cur != fa[o]) q[++ to] = cur; if(dep[o] != dep[q[fr - 1]]) insert(rt[dep[o]], rt[dep[o] - 1], 1, n, dfn[o], w[o]); else update(rt[dep[o]], rt[dep[o]], 1, n, dfn[o], w[o]); fr ++; cmax(mxd, dep[o]); } } inline int qry(int o, int l, int r, int ml, int mr) { if(ml > r || mr < l || !o) return 1e9; if(ml <= l && mr >= r) return miv[o]; int mid = (l + r) >> 1; return min(qry(ls[o], l, mid, ml, mr), qry(rs[o], mid + 1, r, ml, mr)); } int main() { n = read(); r = read(); rep(i, 1, n) w[i] = read(); rep(i, 2, n) { int u = read(), v = read(); addedge(u, v); addedge(v, u); } dfs(r, 0); build(); int lst = 0; m = read(); rep(i, 1, m) { int x = (read() + lst) % n + 1; int k = (read() + lst) % n; write(lst = qry(rt[min(dep[x] + k, mxd)], 1, n, dfn[x], dfn[x] + sz[x] - 1)); } return 0; }
CF893F Subtree Minimum Query 主席树
标签:sub 一段 algo getchar read code 求和 btree ret
原文地址:https://www.cnblogs.com/reverymoon/p/9819614.html