POJ3321Apple Tree

Apple Tree

Time Limit: 2000MS Memory Limit: 65536K
Total Submissions: 39566 Accepted: 11727

Description

There is an apple tree outside of kaka's house. Every autumn, a lot of apples will grow in the tree. Kaka likes apple very much, so he has been carefully nurturing the big apple tree.

The tree has N forks which are connected by branches. Kaka numbers the forks by 1 to N and the root is always numbered by 1. Apples will grow on the forks and two apple won't grow on the same fork. kaka wants to know how many apples are there in a sub-tree, for his study of the produce ability of the apple tree.

The trouble is that a new apple may grow on an empty fork some time and kaka may pick an apple from the tree for his dessert. Can you help kaka?

Input

The first line contains an integer N (N ≤ 100,000) , which is the number of the forks in the tree.
The following N - 1 lines each contain two integers u and v, which means fork u and fork v are connected by a branch.
The next line contains an integer M (M ≤ 100,000).
The following M lines each contain a message which is either
"C x" which means the existence of the apple on fork x has been changed. i.e. if there is an apple on the fork, then Kaka pick it; otherwise a new apple has grown on the empty fork.
or
"Q x" which means an inquiry for the number of apples in the sub-tree above the fork x, including the apple (if exists) on the fork x
Note the tree is full of apples at the beginning

Output

For every inquiry, output the correspond answer per line.

Sample Input

3
1 2
1 3
3
Q 1
C 2
Q 1

Sample Output

3
2

Source

POJ Monthly--2007.08.05, Huang, Jinsong

中文题意

n个节点的苹果树，初始每个节点都有一个苹果。m个询问和修改，询问某棵子树的苹果树，修改某个节点，若该节点无苹果则长出苹果，有苹果则摘掉

题解

dfs序，记录进入时间和推出时间in[x],out[x],时间戳虽进入点数而增加，推出时不增加
以时间戳为下标,用树状数组维护单点修改，区间查询
查询in[x]到out[x]之间
修改in[x]

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <cstdlib>
#include <iostream>
void swap(int &a, int &b){int tmp = a;a = b, b = tmp;}
int max(int a, int b){return a > b ? a : b;}
int min(int a, int b){return a < b ? a : b;}
int lowbit(int x){return x & (-x);}
void read(int &x)
{
	x = 0;char ch = getchar(), c = ch;
	while(ch < '0' || ch > '9') c = ch, ch = getchar();
	while(ch <= '9' && ch >= '0') x = x * 10 + ch - '0', ch = getchar();
	if(c == '-') x = -x;
}

const int INF = 0x3f3f3f3f;
const int MAXN = 100000 + 10;

struct Edge
{
	int u, v, nxt;
	Edge(int _u, int _v, int _nxt){u = _u, v = _v, nxt = _nxt;}
	Edge(){}
}edge[MAXN << 1];
int head[MAXN], cnt;

void insert(int a, int b)
{
	edge[++ cnt] = Edge(a, b, head[a]), head[a] = cnt;
	edge[++ cnt] = Edge(b, a, head[b]), head[b] = cnt;
}

int in[MAXN], out[MAXN], rank[MAXN], num[MAXN], t;

int n, m;

void modify(int x, int y)
{
	for(;x <= n;x += lowbit(x))
		num[x] += y;
}
int ask(int x)
{
	int sum = 0;
	for(;x;x -= lowbit(x))
		sum += num[x];
	return sum;
}

void dfs(int x)
{
	in[x] = ++ t;
	rank[t] = x;
	for(int pos = head[x];pos;pos = edge[pos].nxt)
	{
		int v = edge[pos].v;
		if(in[v]) continue;
		dfs(v);
	}
	out[x] = t;
}

int main()
{
	freopen("data.txt", "r", stdin);
	read(n);
	for(int i = 1;i < n;++ i)
	{
		int tmp1, tmp2;
		read(tmp1), read(tmp2);
		insert(tmp1, tmp2);
	}
	read(m);
	dfs(1);
	for(int i = 1;i <= n;++ i) modify(i, 1);
	for(int i = 1;i <= m;++ i)
	{
		char tmp1;
		int tmp2;
		scanf("%c", &tmp1);
		read(tmp2);
		if(tmp1 == 'Q')
			printf("%d\n", ask(out[tmp2]) - ask(in[tmp2] - 1));
		else if(tmp1 == 'C')
		{
			int tmp3 = ask(in[tmp2]) - ask(in[tmp2] - 1);
			if(tmp3 == 1)	modify(in[tmp2], -1);
			else modify(in[tmp2], 1);
		}
	}
	return 0;
}