Aragorn's Story HDU
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树链剖分模板题目。
树链剖分,就是先选定好根节点,由根节点往下,沿着子树节点最多的节点往下,将其拆成链,再由链组成线段树的数据结构
#pragma comment(linker,"/STACK:100000000,100000000")#include <iostream>#include <stdio.h>#include <cstring>#include <algorithm>using namespace std;const int MAXN = 50010;struct Edge{ int to, next;};int n, m, Q;Edge edge[2*MAXN];int head[MAXN], tot;int top[MAXN];//每个节点所在链的头节点的位置int fa[MAXN];//每个节点的父亲节点int deep[MAXN];//每个节点的深度int num[MAXN];//以第i个节点为根节点时子节点的个数int p[MAXN];//i节点在线段树的位置int fp[MAXN];//p的反函数int son[MAXN];//每个节点的最大分支的儿子节点int a[MAXN];int pos;void init(){ tot = 0; memset(head, -1, sizeof(head)); pos = 1; memset(son, -1, sizeof(son));}void addedge(int u, int v){ edge[tot].to = v; edge[tot].next = head[u]; head[u] = tot++;}void dfs1(int u, int father ,int dep){ deep[u] = dep; fa[u] = father; num[u] = 1; for (int i = head[u]; ~i; i = edge[i].next) { int v = edge[i].to; if (v != father) { dfs1(v, u, dep+1); num[u] += num[v]; if (son[u] == -1 || num[v] > num[son[u]]) son[u] = v; } }}void getpos(int u, int sp){ top[u] = sp; p[u] = pos++; fp[p[u]] = u; if (son[u] == -1) return; getpos(son[u], sp); for (int i = head[u]; ~i; i = edge[i].next) { int v = edge[i].to; if (v != fa[u] && v != son[u]) { getpos(v, v); } }}#define lson o<<1,l,mid#define rson o<<1|1,mid+1,rint sum[MAXN<<2];void build(int o, int l, int r) { if (l == r) { sum[o] = a[fp[l]]; return; } int mid = (l+r) >> 1; build(lson); build(rson); sum[o] = 0;}void pushdown(int o) { if (sum[o]) { sum[o<<1] += sum[o]; sum[o<<1|1] += sum[o]; sum[o] = 0; }}int query(int o, int l, int r, int v) { if (l == r) return sum[o]; pushdown(o); int mid = (l+r) >> 1; if (v <= mid) return query(lson, v); return query(rson, v);}void update(int o, int l, int r, int L, int R, int v) { if (l >= L && r <= R) { sum[o] += v; return ; } pushdown(o); int mid = (l+r) >> 1; if (L <= mid) update(lson, L, R, v); if (R > mid) update(rson, L, R, v);}void change(int x, int y, int w, int n) { while (top[x] != top[y]) { if (deep[top[x]] < deep[top[y]]) swap(x, y); update(1, 1, n, p[top[x]], p[x], w); x = fa[top[x]]; } if (deep[x] > deep[y]) swap(x, y); update(1, 1, n, p[x], p[y], w);}char buf[5];int x, y, z;int main(){ while (scanf("%d%d%d" , &n, &m, &Q) != EOF) { for (int i = 1; i <= n; i++) scanf("%d", a+i); init(); for (int i = 1; i <= m; i++) { scanf("%d%d", &x, &y); addedge(x, y); addedge(y, x); } dfs1(1, 0, 0); getpos(1, 1); build(1, 1, n); for (int i = 1; i <= Q; i++) { scanf("%s", buf); if (buf[0] == 'Q') { scanf("%d", &x); printf("%d\n", query(1, 1, n, p[x])); } else { scanf("%d%d%d", &x, &y, &z); if (buf[0] == 'D') z = -z; change(x, y, z, n); } } } return 0;}
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