#include<bits/stdc++.h>
using std::cin;
using std::cout;
#define endl "\n"
using std::vector;
using ll=long long;
//宣言、modpow
const int mod=2e9+14;
vector<vector<int>> edge,weight;
vector<ll> dp,subtree,sum;
vector<bool> flag;
ll ans=0;
//dfs
void dfs(int now){
    flag[now]=1;
    for(int i=0;i<edge[now].size();i++){
        int next=edge[now][i];
        ll w=weight[now][i];
        if(flag[next]) continue;

        dfs(next);
        subtree[now]+=subtree[next];
        dp[now]+=dp[next]+subtree[next]*w%mod*w%mod+sum[next]*w%mod*2%mod;
        dp[now]%=mod;
        sum[now]+=sum[next]+w*subtree[next]%mod;
        sum[now]%=mod;
    }
}
//rerooting
void reroot(int now){
    flag[now]=0;
    ans+=dp[now];
    ans%=mod;
    for(int i=0;i<edge[now].size();i++){
        int next=edge[now][i];
        ll w=weight[now][i];
        if(!flag[next]) continue;

        ll dp2=dp[now]-dp[next]-subtree[next]*w%mod*w%mod-sum[next]*w%mod*2%mod;
        dp2%=mod;
        if(dp2<0) dp2+=mod;

        ll sum2=sum[now]-sum[next]-w*subtree[next]%mod;
        sum2%=mod;
        if(sum2<0) sum2+=mod;

        ll subtree2=subtree[now]-subtree[next];

        dp[next]+=dp2+subtree2*w%mod*w%mod+sum2*w%mod*2%mod;
        dp[next]%=mod;
        sum[next]+=sum2+w*subtree2%mod;
        sum[next]%=mod;
        subtree[next]+=subtree2;
        reroot(next);
    }
}
//main
int main(){
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    //resize、input
    int N; cin>>N;
    edge.resize(N);
    weight.resize(N);
    dp.resize(N);
    subtree.resize(N,1);
    sum.resize(N);
    flag.resize(N);
    for(int i=1;i<N;i++){
        int x,y,z; cin>>x>>y>>z;
        edge[x-1].push_back(y-1);
        edge[y-1].push_back(x-1);
        weight[x-1].push_back(z);
        weight[y-1].push_back(z);
    }
    //求値、output
    dfs(0);
    reroot(0);
    ans/=2;
    cout<<ans<<endl;
}