codeforces 1029E Tree with Small Distances

本文深入探讨了一种树形结构上的贪心算法实现,通过遍历整棵树,当遇到不合法的子节点时,将其连接到根节点,并更新父节点状态为合法,确保算法覆盖所有情况,最终统计并输出解决方案。

摘要生成于 C知道 ,由 DeepSeek-R1 满血版支持, 前往体验 >

这道贪心感觉比较好想吧。。但是有坑点。。

我们发现一个点如果不合法,把他的父节点连到跟比把他自己连到跟要合适一些,所以为了不少不漏情况,

直接dfs遍历整棵树,遇到一个树的子节点不合法就把这个点连到跟,这个时候坑点出现了,因为它是个树,

所以它的子节点的dis值更不更新都没事,反正不会被二次搜到,但是它的父节点一定要更新成2(就是合法),

不然会多出一些情况的,最后统计答案就行了。

#include<cstdio>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<vector>
#include<set>
using namespace std;
int n,ans,dis[200005];
vector<int>M[200005];
void dfs(int u,int fa,int cnt)
{
	dis[u]=cnt;int flag=0;
	int l=M[u].size();
	for(int i=0;i<l;i++)
	{
		if(M[u][i]==fa)continue;
		dfs(M[u][i],u,cnt+1);
		if(dis[M[u][i]]>2)
		{
			flag=1;
			dis[u]=1;
			dis[fa]=2;
		}
	}
	ans+=flag;
}
int main()
{
	scanf("%d",&n);
	for(int i=1;i<=n-1;i++)
	{
		int a,b;scanf("%d%d",&a,&b);
		M[a].push_back(b);
		M[b].push_back(a);
	}
	dfs(1,1,0);
	printf("%d",ans);
	return 0;
}

 

### Codeforces 887E Problem Solution and Discussion The problem **887E - The Great Game** on Codeforces involves a strategic game between two players who take turns to perform operations under specific rules. To tackle this challenge effectively, understanding both dynamic programming (DP) techniques and bitwise manipulation is crucial. #### Dynamic Programming Approach One effective method to approach this problem utilizes DP with memoization. By defining `dp[i][j]` as the optimal result when starting from state `(i,j)` where `i` represents current position and `j` indicates some status flag related to previous moves: ```cpp #include <bits/stdc++.h> using namespace std; const int MAXN = ...; // Define based on constraints int dp[MAXN][2]; // Function to calculate minimum steps using top-down DP int minSteps(int pos, bool prevMoveType) { if (pos >= N) return 0; if (dp[pos][prevMoveType] != -1) return dp[pos][prevMoveType]; int res = INT_MAX; // Try all possible next positions and update 'res' for (...) { /* Logic here */ } dp[pos][prevMoveType] = res; return res; } ``` This code snippet outlines how one might structure a solution involving recursive calls combined with caching results through an array named `dp`. #### Bitwise Operations Insight Another critical aspect lies within efficiently handling large integers via bitwise operators instead of arithmetic ones whenever applicable. This optimization can significantly reduce computation time especially given tight limits often found in competitive coding challenges like those hosted by platforms such as Codeforces[^1]. For detailed discussions about similar problems or more insights into solving strategies specifically tailored towards contest preparation, visiting forums dedicated to algorithmic contests would be beneficial. Websites associated directly with Codeforces offer rich resources including editorials written after each round which provide comprehensive explanations alongside alternative approaches taken by successful contestants during live events. --related questions-- 1. What are common pitfalls encountered while implementing dynamic programming solutions? 2. How does bit manipulation improve performance in algorithms dealing with integer values? 3. Can you recommend any online communities focused on discussing competitive programming tactics? 4. Are there particular patterns that frequently appear across different levels of difficulty within Codeforces contests?
评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值