[{"createTime":1735734952000,"id":1,"img":"hwy_ms_500_252.jpeg","link":"https://activity.huaweicloud.com/cps.html?fromacct=261f35b6-af54-4511-a2ca-910fa15905d1&utm_source=V1g3MDY4NTY=&utm_medium=cps&utm_campaign=201905","name":"华为云秒杀","status":9,"txt":"华为云38元秒杀","type":1,"updateTime":1735747411000,"userId":3},{"createTime":1736173885000,"id":2,"img":"txy_480_300.png","link":"https://cloud.tencent.com/act/cps/redirect?redirect=1077&cps_key=edb15096bfff75effaaa8c8bb66138bd&from=console","name":"腾讯云秒杀","status":9,"txt":"腾讯云限量秒杀","type":1,"updateTime":1736173885000,"userId":3},{"createTime":1736177492000,"id":3,"img":"aly_251_140.png","link":"https://www.aliyun.com/minisite/goods?userCode=pwp8kmv3","memo":"","name":"阿里云","status":9,"txt":"阿里云2折起","type":1,"updateTime":1736177492000,"userId":3},{"createTime":1735660800000,"id":4,"img":"vultr_560_300.png","link":"https://www.vultr.com/?ref=9603742-8H","name":"Vultr","status":9,"txt":"Vultr送$100","type":1,"updateTime":1735660800000,"userId":3},{"createTime":1735660800000,"id":5,"img":"jdy_663_320.jpg","link":"https://3.cn/2ay1-e5t","name":"京东云","status":9,"txt":"京东云特惠专区","type":1,"updateTime":1735660800000,"userId":3},{"createTime":1735660800000,"id":6,"img":"new_ads.png","link":"https://www.iodraw.com/ads","name":"发布广告","status":9,"txt":"发布广告","type":1,"updateTime":1735660800000,"userId":3},{"createTime":1735660800000,"id":7,"img":"yun_910_50.png","link":"https://activity.huaweicloud.com/discount_area_v5/index.html?fromacct=261f35b6-af54-4511-a2ca-910fa15905d1&utm_source=aXhpYW95YW5nOA===&utm_medium=cps&utm_campaign=201905","name":"底部","status":9,"txt":"高性能云服务器2折起","type":2,"updateTime":1735660800000,"userId":3}]
数据范围
1≤n≤10^5,
每个节点的评分的绝对值均不超过 10^6。
输入样例:
5 1 -2 -3 4 5 4 2 3 1 1 2 2 5
输出样例:
8
分析:这道题是要我们在树中求一个最大连通块,我们可以定义f[i]为以i为根的子树中最大连通块的值
,这样结果就是f[1~n]中的最大值,树形DP过程比较简单,一开始令f[i]=w[i],也就是令这个连通块只包含自己这一个点,然后只要以子节点为根的子树中最大连通块的值大于0,就加上,按照这样进行dp就可以求出答案,细节参照代码:
#include<cstdio> #include<iostream> #include<cstring> #include<vector>
#include<algorithm> #include<map> #include<cmath> #include<queue> using
namespace std; #define int long long const int N=1e5+10; int
w[N*2],f[N],e[N*2],ne[N*2],h[N],idx;//f[i]表示以i为根的连通块中的最大值 void add(int x,int y)
{ e[idx]=y; ne[idx]=h[x]; h[x]=idx++; } int dp(int x,int father) { f[x]=w[x];
for(int i=h[x];i!=-1;i=ne[i]) { int j=e[i]; if(j==father) continue;
f[x]+=max(dp(j,x),(int)0); } return f[x]; } signed main() { int n; cin>>n;
for(int i=1;i<=n;i++) scanf("%lld",&w[i]); memset(h,-1,sizeof h); for(int
i=1;i<n;i++) { int u,v; scanf("%lld%lld",&u,&v); add(u,v);add(v,u); } dp(1,0);
int ans=-0x3f3f3f3f; for(int i=1;i<=n;i++) ans=max(ans,f[i]);
printf("%lld",ans); return 0; }