动态树入门题。。。。给出一颗树,树的边上有权值,两种操作,1修改一条边上的权值,2查询两个节点x和y之间的最短路径中经过的最大的边的权值。
#include <iostream> #include <queue> #include <stack> #include <map> #include <set> #include <bitset> #include <cstdio> #include <algorithm> #include <cstring> #include <climits> #include <cstdlib> #include <cmath> #include <time.h> #define maxn 200005 #define maxm 400005 #define eps 1e-10 #define mod 1000000007 #define INF 0x3f3f3f3f #define PI (acos(-1.0)) #define lowbit(x) (x&(-x)) #define mp make_pair #define ls o<<1 #define rs o<<1 | 1 #define lson o<<1, L, mid #define rson o<<1 | 1, mid+1, R #define pii pair<int, int> //#pragma comment(linker, "/STACK:16777216") typedef long long LL; typedef unsigned long long ULL; //typedef int LL; using namespace std; LL qpow(LL a, LL b){LL res=1,base=a;while(b){if(b%2)res=res*base;base=base*base;b/=2;}return res;} LL powmod(LL a, LL b){LL res=1,base=a;while(b){if(b%2)res=res*base%mod;base=base*base%mod;b/=2;}return res;} // head struct node *null; struct node { int Max, key; node *ch[2], *fa; inline void pushup() { if(this == null) return; Max = max(key, max(ch[0]->Max, ch[1]->Max)); } inline void setc(node *p, int d) { ch[d] = p; p->fa = this; } inline bool d() { return fa->ch[1] == this; } inline bool isroot() { return fa == null || fa->ch[0] != this && fa->ch[1] != this; } void rot() { node *f = fa, *ff = fa->fa; int c = d(), cc = fa->d(); f->setc(ch[!c], c); this->setc(f, !c); if(ff->ch[cc] == f) ff->setc(this, cc); else this->fa = ff; f->pushup(); } node* splay() { while(!isroot()) { if(!fa->isroot()) d() == fa->d() ? fa->rot() : rot(); rot(); } pushup(); return this; } node* access() { for(node *p = this, *q = null; p != null; q = p, p = p->fa) { p->splay()->setc(q, 1); p->pushup(); } return splay(); } }; node pool[maxm], *tail; node *Node[maxn]; node *update[maxn]; struct Edge { int v, w, id; Edge *next; }E[maxm], *H[maxn], *edges; int vis[maxn]; queue<int> q; char s[100]; int n, m; void addedges(int u, int v, int w, int id) { edges->v = v; edges->w = w; edges->id = id; edges->next = H[u]; H[u] = edges++; } void init() { tail = pool; null = tail++; null->ch[0] = null->ch[1] = null->fa = null; null->key = null->Max = -INF; edges = E; memset(H, 0, sizeof H); memset(vis, 0, sizeof vis); } void read() { int u, v, w; scanf("%d", &n); for(int i = 1; i < n; i++) { scanf("%d%d%d", &u, &v, &w); addedges(u, v, w, i); addedges(v, u, w, i); } for(int i = 1; i <= n; i++) { tail->key = tail->Max = -INF; tail->ch[0] = tail->ch[1] = tail->fa = null; Node[i] = tail++; } } void bfs() { vis[1] = 1; q.push(1); while(!q.empty()) { int u = q.front(); q.pop(); for(Edge *e = H[u]; e; e = e->next) { int v = e->v, w = e->w, id = e->id; if(vis[v]) continue; vis[v] = 1; q.push(v); Node[v]->fa = Node[u]; Node[v]->key = w; update[id] = Node[v]; } } } int ask(node* x, node* y) { x->access(); for(x = null; y != null; x = y, y = y->fa) { y->splay(); if(y->fa == null) return max(y->ch[1]->Max, x->Max); y->setc(x, 1); y->pushup(); } } void work() { int x, y; bfs(); while(scanf("%s", s) != EOF) { if(strcmp(s, "DONE") == 0) break; scanf("%d%d", &x, &y); if(s[0] == 'Q') printf("%d\n", ask(Node[x], Node[y])); else update[x]->splay()->key = y, update[x]->pushup(); } } int main(void) { int _; scanf("%d", &_); while(_--) { init(); read(); work(); } return 0; }