poj 3140 Contestants Division (树形dp)

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http://poj.org/problem?id=3140

题意:

要删一条边使得剩余的两个分支 价值差最小。

思路:

先从下往上更新子树的,再从上往下更新父亲节点,然后找最小

代码:

#include<iostream>
#include<stdio.h>
#include<string.h>
#include<algorithm>
#include<vector>
using namespace std;
#define ll long long
const int maxn=1e6+10;
const ll inf=1e15;
int n,m;
struct node
{
    int to,next;
}edge[maxn*2];
int head[maxn],tot;
ll w[maxn];
void addedge(int u,int v)
{
    edge[tot].to=v;
    edge[tot].next=head[u];
    head[u]=tot++;
}
void init()
{
    memset(head,-1,sizeof(head));
    tot=0;
}
ll up[maxn],down[maxn];
void dfs(int u,int pre)
{
    down[u]=w[u];
    for(int i=head[u];~i;i=edge[i].next)
    {
        int v=edge[i].to;
        if(v==pre)continue;
        dfs(v,u);
        down[u]+=down[v];
    }
}
void dfss(int u,int pre)
{
    //up[u]=w[u];
    for(int i=head[u];~i;i=edge[i].next)
    {
        int v=edge[i].to;
        if(v==pre)continue;
        up[v]+=up[u];
        up[v]+=down[u]-down[v];
        dfss(v,u);
    }
}
ll mi;
int main()
{
    int cs=0;
    while(~scanf("%d%d",&n,&m)&&m+n)
    {
        init();
        int u,v;
        for(int i=1;i<=n;i++)
            scanf("%lld",&w[i]);
        for(int i=1;i<=m;i++)
        {
            scanf("%d%d",&u,&v);
            addedge(u,v);
            addedge(v,u);

        }
        memset(up,0,sizeof(up));
        dfs(1,-1);
        dfss(1,-1);
        mi=inf;
        for(int i=1;i<=n;i++)
        {
            ll z=down[i]-up[i];
            if(z<0)z=-z;
            mi=min(mi,z);
        }
        printf("Case %d: %lld\n",++cs,mi);
    }
    return 0;
}

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转载自blog.csdn.net/imzxww/article/details/81778313