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HDU3887 Counting Offspring [2017年6月计划 树上问题03]

Counting Offspring

Time Limit: 15000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2809    Accepted Submission(s): 981


Problem Description
You are given a tree, it’s root is p, and the node is numbered from 1 to n. Now define f(i) as the number of nodes whose number is less than i in all the succeeding nodes of node i. Now we need to calculate f(i) for any possible i.
 

 

Input
Multiple cases (no more than 10), for each case:
The first line contains two integers n (0<n<=10^5) and p, representing this tree has n nodes, its root is p.
Following n-1 lines, each line has two integers, representing an edge in this tree.
The input terminates with two zeros.
 

 

Output
For each test case, output n integer in one line representing f(1), f(2) … f(n), separated by a space.
 

 

Sample Input
15 77 107 17 97 37 410 1414 214 139 119 66 56 83 153 120 0
 

 

Sample Output
0 0 0 0 0 1 6 0 3 1 0 0 0 2 0
 

 

Author
bnugong
 

 

Source
2011 Multi-University Training Contest 5 - Host by BNU
 

 

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//====================================
被格式错误卡了半个小时
开始多了空格,去了空格,不对
后来发现多组数据要加空行,然后在数据之间加了空行,不对
看了看题解才发现末尾要多一个空行
 
竟无语凝噎
//====================================
 
跟树状数组求逆序对的思想类似,大家可以去看那一道题的思路
 
#include <bits/stdc++.h>inline void read(int &x){	char ch = getchar();char c = ch;x = 0;	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;}inline int lowbit(int &a){return a & (-a);}const int MAXN = 500000 + 10;int n,root,tmp1,tmp2;struct Edge{int u,v,next;}edge[MAXN << 1];int head[MAXN], cnt, l[MAXN << 1], r[MAXN << 1], bit[MAXN << 1];inline void insert(int a, int b){edge[++cnt] = Edge{a,b,head[a]};head[a] = cnt;}int b[MAXN], stack[MAXN], top, rank;void dfs(int root){	register int u,v,pos;	stack[++top] = root;	b[root] = 1;	while(top)	{		u = stack[top--];		if(l[u])		{			r[u] = ++rank;			continue;		}		stack[++top] = u;		l[u] = ++rank;		for(pos = head[u];pos;pos = edge[pos].next)		{			v = edge[pos].v;			if(b[v])continue;			b[v] = true;			stack[++top] = v;		}	}}inline void modify(int p, int k){	register int tmp = n << 1;	for(;p <= tmp;p += lowbit(p))		bit[p] += k;}inline int ask(int p){	register int ans = 0;	for(;p;p -= lowbit(p))		ans += bit[p];	return ans;}bool ok;int main(){	while(true)	{		read(n);read(root);		if(!(n || root))break;		memset(edge, 0, sizeof(edge));		memset(head, 0, sizeof(head));		memset(l, 0, sizeof(l));		memset(r, 0, sizeof(r));		cnt = 0;		memset(bit, 0, sizeof(bit));		memset(b, 0, sizeof(b));		memset(stack, 0, sizeof(stack));		top = 0;		rank = 0;		register int i;		for(i = 1;i < n;++ i)		{			read(tmp1);read(tmp2);			insert(tmp1, tmp2);			insert(tmp2, tmp1);		}		dfs(root);		printf("%d", ask(r[1]) - ask(l[1] - 1));		modify(l[1], 1);		for(i = 2;i <= n;i ++)		{			printf(" %d", ask(r[i]) - ask(l[i] - 1));			modify(l[i], 1);		}		printf("\n");	}	return 0;} 

 

 

HDU3887 Counting Offspring [2017年6月计划 树上问题03]