【ZJOI 2008】树的统计 Count

看题目的出门左拐:

  http://www.zybbs.org/JudgeOnline/problem.php?id=1036  

  题目大意:给定一棵加权树,实现修改任意节点权值,求两点间路径最大值和权值和的操作。

  看到题目想都没想就LCT了,敲啊敲、敲啊敲……本来YY着1A的,然后发现WA了……第一个点就WA了……

  囧……分析了好半天……睡了一觉……猛然想起自己宏定义的INF……

  原来宏定义INF ~0u>>1然后赋值-INF会出问题的- -

  我对C++了解不熟……学习了……

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <queue>
#define NIL LCT
#define INF 0x7f7f7f7f
#define mn 130001
#define mm 300000
using namespace std;
template<class T>inline void gmax(T &a,T b){if(a<b)a=b;}

queue<int> q;
int n,m,a,b,value[mn];
char s[10];
struct EDGE{
	int pnt;
	EDGE *pre;
	EDGE (){}
	EDGE(int _pnt,EDGE *_pre):pnt(_pnt),pre(_pre){}
}Edge[mm*2],*SP=Edge,*edge[mm];

inline void addedge(int a,int b){
	edge[a]=new(++SP)EDGE(b,edge[a]);
	edge[b]=new(++SP)EDGE(a,edge[b]);
}

struct LinkCutTree{
	struct NODE{
		int val,maxn,sum;
		bool root;
		NODE *left,*right,*father;
		NODE (){}
		NODE(int _val,NODE *_left,NODE *_right,NODE *_father):
			val(_val),left(_left),right(_right),father(_father){root=true;}
	}LCT[mn],*NP,*node[mn];
	
	void init(){
		NP=NIL;
		NIL->val=NIL->maxn=-INF;NIL->sum=0;
		NIL->left=NIL->right=NIL->father=NIL;
		NIL->root=false;
	}
	
	void build(){
		q.push(1);
		node[1]=new(++NP)NODE(value[1],NIL,NIL,NIL);
		while(!q.empty()){
			int i=q.front();q.pop();
			for(EDGE *j=edge[i];j;j=j->pre)
				if(node[j->pnt]!=node[i]->father){
					node[j->pnt]=new(++NP)NODE(value[j->pnt],NIL,NIL,node[i]);
					q.push(j->pnt);
				}
		}
	}
	
	void update(NODE *&t){
		t->sum=t->left->sum+t->right->sum+t->val;
		t->maxn=max(t->val,max(t->left->maxn,t->right->maxn));
	}
	
	void zig(NODE *&t){
		NODE *f=t->father,*r=t->right;
		t->father=f->father;
		if(f->root){
			t->root=true;
			f->root=false;
		}else{
			if(f->father->left==f) f->father->left=t;
			else f->father->right=t;
		}
		t->right=f,f->father=t,f->left=r,r->father=f;
		update(f);
	}
	
	void zag(NODE *&t){
		NODE *f=t->father,*l=t->left;
		t->father=f->father;
		if(f->root){
			t->root=true;
			f->root=false;
		}else{
			if(f->father->left==f) f->father->left=t;
			else f->father->right=t;
		}
		t->left=f;f->father=t,f->right=l,l->father=f;
		update(f);
	}
	
	void splay(NODE *&t){
		while(!t->root){
			if(t->father->root){
				if(t->father->left==t) zig(t);
				else zag(t);
			}else{
				if(t->father->father->left==t->father){
					if(t->father->left==t) zig(t->father),zig(t);
					else zag(t),zig(t);
				}else{
					if(t->father->left==t) zig(t),zag(t);
					else zag(t->father),zag(t);
				}
			}
		}
		update(t);
	}
	
	void Expose(NODE *&t){
		NODE *p=t,*q=NIL;
		while(p!=NIL){
			splay(p);
			p->right->root=true;
			p->right=q;
			p->right->root=false;
			update(p);
			q=p,p=p->father;
		}
	}
	
	void Modify(int t,int key){
		node[t]->val=key;
		update(node[t]);
		splay(node[t]);
	}
	
	void queryMax(int a,int b){
		Expose(node[a]);
		NODE *p=node[b],*q=NIL;
		while(p!=NIL){
			splay(p);
			if(p->father==NIL) printf("%d\n",max(p->val,max(p->right->maxn,q->maxn)));
			p->right->root=true;
			p->right=q;
			p->right->root=false;
			update(p);
			q=p,p=p->father;
		}
	}
	
	void querySum(int a,int b){
		Expose(node[a]);
		NODE *p=node[b],*q=NIL;
		while(p!=NIL){
			splay(p);
			if(p->father==NIL)printf("%d\n",p->right->sum+q->sum+p->val);
			p->right->root=true;
			p->right=q;
			p->right->root=false;
			update(p);
			q=p,p=p->father;
		}
	}
}tree;

int main(){
	scanf("%d",&n);
	for(int i=1;i<n;i++){
		scanf("%d%d",&a,&b);
		addedge(a,b);
	}
	for(int i=1;i<=n;i++) scanf("%d",&value[i]);
	tree.init();
	tree.build();
	scanf("%d\n",&m);
	while(m--){
		scanf("%s",s);
		scanf("%d%d",&a,&b);
		switch(s[1]){
			case 'M':
				tree.queryMax(a,b);
				break;
			case 'S':
				tree.querySum(a,b);
				break;
			case 'H':
				tree.Modify(a,b);
		}
	}
	return 0;
}
原文地址:https://www.cnblogs.com/Delostik/p/2129520.html