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POJ 2763 Housewife Wind 树链剖分
点更新,区间询问和,最基础的树链剖分。
#include <cstdio>#include <cstring>#include <algorithm>#include <map>#include <set>#include <bitset>#include <queue>#include <stack>#include <string>#include <iostream>#include <cmath>#include <climits>using namespace std;#define lson rt << 1, l, mid#define rson rt << 1 | 1, mid + 1, rconst int maxn = 1e5 + 10;int head[maxn], nxt[maxn << 1], u[maxn << 1], v[maxn << 1], w[maxn << 1];int siz[maxn], top[maxn], maxson[maxn], dep[maxn], eid[maxn << 1];int tid[maxn], fa[maxn], sumv[maxn << 2], idcnt, sval[maxn];int n, q, s, ecnt, rnum[maxn];void init() { memset(head, -1, sizeof(head)); memset(maxson, -1, sizeof(maxson)); ecnt = idcnt = 0;}void adde(int uu, int vv, int ww, int id) { u[ecnt] = uu; v[ecnt] = vv; w[ecnt] = ww; eid[ecnt] = id; nxt[ecnt] = head[uu]; head[uu] = ecnt++;}//第一遍dfs,用于统计节点信息void dfs1(int now, int nowfa, int nowdep) { dep[now] = nowdep; fa[now] = nowfa; siz[now] = 1; for(int i = head[now]; ~i; i = nxt[i]) if(v[i] != nowfa) { dfs1(v[i], now, nowdep + 1); siz[now] += siz[v[i]]; if(maxson[now] == -1 || siz[v[i]] > siz[maxson[now]]) { maxson[now] = v[i]; } } }//第二遍dfs, 划分链void dfs2(int now, int tp) { top[now] = tp; tid[now] = ++idcnt; //遇到叶子节点就返回 if(maxson[now] == -1) return; //重链直接dfs下去 dfs2(maxson[now], tp); for(int i = head[now]; ~i; i = nxt[i]) if(v[i] != fa[now]) { //剩下的每一个节点都自己成为一条链 if(v[i] != maxson[now]) dfs2(v[i], v[i]); }}//线段树操作void pushup(int rt) { sumv[rt] = sumv[rt << 1] + sumv[rt << 1 | 1];}void build(int rt, int l, int r) { int mid = (l + r) >> 1; if(l == r) sumv[rt] = sval[l]; else { build(lson); build(rson); pushup(rt); }}void update(int rt, int l, int r, int pos, int val) { if(l == r) sumv[rt] = val; else { int mid = (l + r) >> 1; if(pos <= mid) update(lson, pos, val); else update(rson, pos, val); pushup(rt); }}int query(int rt, int l, int r, int ql, int qr) { if(ql <= l && qr >= r) return sumv[rt]; int mid = (l + r) >> 1, ret = 0; if(ql <= mid) ret += query(lson, ql, qr); if(qr > mid) ret += query(rson, ql, qr); return ret;}int ask(int x, int y) { int ret = 0; while(top[x] != top[y]) {// printf("%d %d %d %d\n", x, y, top[x], top[y]); if(dep[top[x]] < dep[top[y]]) swap(x, y); ret += query(1, 1, idcnt, tid[top[x]], tid[x]); x = fa[top[x]]; } if(dep[x] > dep[y]) swap(x, y); if(x != y) ret += query(1, 1, n, tid[x] + 1, tid[y]); return ret;}int main() { while(scanf("%d%d%d", &n, &q, &s) != EOF) { init(); for(int i = 1; i < n; i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); adde(a, b, c, i); adde(b, a, c, i); } dfs1(1, 1, 1); dfs2(1, 1); /* for(int i = 1; i <= n; i++) { printf("for %d top is %d tid is %d\n", i , top[i], tid[i]); } */ //把边上的权值处理到点 for(int i = 0; i < ecnt; i++) { if(dep[u[i]] > dep[v[i]]) { sval[tid[u[i]]] = w[i]; rnum[eid[i]] = u[i]; } else { sval[tid[v[i]]] = w[i]; rnum[eid[i]] = v[i]; } } build(1, 1, idcnt); int cmd, v1, v2; for(int i = 0; i < q; i++) { scanf("%d", &cmd); if(cmd == 0) { scanf("%d", &v1); int ret = ask(s, v1); s = v1; printf("%d\n", ret); } else { scanf("%d%d", &v1, &v2); update(1, 1, idcnt, tid[rnum[v1]], v2); } } } return 0;}
POJ 2763 Housewife Wind 树链剖分
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