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    code: 

    #include <bits/stdc++.h>    
    #define N 200004  
    #define ll long long  
    #define mod 1000000007   
    #define setIO(s) freopen(s".in","r",stdin) 
    using namespace std;            
    struct Lowbit 
    {
        ll M[N];           
        int C[N];   
        int lowbit(int t) 
        {
            return t&(-t);
        }       
        void add(int x,int v) 
        {        
            while(x<N)  C[x]+=v, x+=lowbit(x); 
        }  
        void mul(int x,int v) 
        {  
            while(x<N)  M[x]=(ll)M[x]*v%mod,x+=lowbit(x); 
        }       
        int qsum(int x) 
        {
            int re=0; 
            while(x>0)  re+=C[x],x-=lowbit(x);  
            return re;  
        } 
        int qmul(int x)
        {
            ll re=1ll; 
            while(x>0)  re=re*M[x]%mod,x-=lowbit(x);  
            return re;   
        }
        void clr(int x) 
        {
            while(x<N)  M[x]=1,x+=lowbit(x);  
        }
    }addv,mulv;         
    
    ll ans=1ll;   
    int root,edges,sn,tot;   
    int hd[N],to[N<<1],nex[N<<1],col[N<<1],val[N<<1],size[N],mx[N],vis[N];      
    
    void addedge(int u,int v,int vv,int c) 
    {
        nex[++edges]=hd[u],hd[u]=edges,to[edges]=v,val[edges]=vv,col[edges]=c;          
    }
    struct node 
    {
        int x,y,op,v;  
        node(int x=0,int y=0,int op=0,int v=0):x(x),y(y),op(op),v(v){}  
    }q[N];  
    bool cmp(node a,node b) 
    {
        return (a.x==b.x&&a.y==b.y)?(a.z>b.z):(a.x==b.x?a.y<b.y:a.x<b.x); 
    } 
    inline int qpow(int x,int y) 
    {
        int re=1; 
        for(;y;y>>=1,x=1ll*x*x%mod)   if(y&1)  re=1ll*re*x%mod;   
        return re;   
    }
    void getroot(int u,int ff) 
    { 
        size[u]=1,mx[u]=0; 
        for(int i=hd[u];i;i=nex[i]) 
        {
            int v=to[i]; 
            if(v==ff||vis[v])    continue; 
            getroot(v,u); 
            size[u]+=size[v]; 
            mx[u]=max(mx[u],size[v]); 
        } 
        mx[u]=max(mx[u],sn-size[u]); 
        if(mx[u]<mx[root]) root=u; 
    }
    void dfs(int u,int ff,int x,int y,int v) 
    {        
        q[++tot]=node(2*y-x,y-2*x,0,v);           
        q[++tot]=node(x-2*y,2*x-y,1,v);            
        for(int i=hd[u];i;i=nex[i]) 
        {
            int v=to[i];      
            if(v==ff||vis[v])    continue;    
            dfs(v,u,x+(col[i]==0),y+(col[i]==1),1ll*v*val[i]%mod);          
        }  
    }
    void calc(int u,int flag,int pre,int v) 
    {            
        tot=0;  
        dfs(u,0,pre==0,pre==1,v);           
        sort(q+1,q+1+tot,cmp);          
        for(int i=1;i<=tot;++i) 
        {
            if(q[i].op==0) 
            {   
                addv.add(q[i].y,1);               
                mulv.mul(q[i].y,q[i].v);        
            } 
            else 
            {    
                int a1=mulv.qmul(q[i].y);     
                int a2=addv.qsum(q[i].y);    
                int delta=1ll*a1*qpow(q[i].v,a2)%mod;       
                if(flag==-1)   delta=qpow(delta,mod-2);    
                ans=1ll*ans*delta%mod;      
            }
        }                              
        for(int i=1;i<=tot;++i) 
        {
            if(!q[i].op) 
            {
                addv.add(q[i].y,-1);       
                mulv.clr(q[i].y);  
            }
        }      
    }
    void solve(int u) 
    {    
        calc(u,1,-1,1);          
        vis[u]=1;  
        for(int i=hd[u];i;i=nex[i])  
        {
            int v=to[i]; 
            if(vis[v])   continue;   
            calc(v,-1,col[i],val[i]);        
        }   
        for(int i=hd[u];i;i=nex[i]) 
        {
            int v=to[i]; 
            if(vis[v])   continue;   
            sn=size[v],root=0,getroot(v,u),solve(root);   
        }
    }
    int main() 
    { 
        setIO("input");    
        memset(mulv.M,1,sizeof(mulv.M));           
        int i,j,n;  
        scanf("%d",&n); 
        for(i=1;i<n;++i) 
        {
            int x,y,z,c;         
            scanf("%d%d%d%d",&x,&y,&z,&c);     
            add(x,y,z,c),add(y,x,z,c);  
        }  
        sn=mx[0]=n,getroot(1,0),solve(root);   
        printf("%lld
    ",ans);   
        return 0; 
    }
    

      

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  • 原文地址:https://www.cnblogs.com/guangheli/p/12013243.html
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