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The objective of the geometry dash game is for the players to avoid colliding with obstacles by jumping over them.

C++ Solution

#include <bits/stdc++.h>

using namespace std;

typedef unsigned long long ULL;

const int maxn = 1e5 + 100;
int T, n;
vector<pair<int, ULL>> Edge[maxn * 5];

ULL Hash(ULL w){
    return w * 747474747 + 447474747;
}

map<ULL,int>mp;

void dfs(int u, int fa, ULL Ha){
    mp[Ha]++;
    for(int i = 0; i < Edge[u].size(); i++){
        int v = Edge[u][i].first;
        ULL w = Edge[u][i].second;
        if(v == fa) continue;
        dfs(v, u, Ha ^ w);
    }
}

int main(){
    scanf("%d", &T);
    int w, u, v;
    while(T--){
        scanf("%d", &n);
        mp.clear();
        for(int i = 0; i < n; i++) Edge[i].clear();
        for(int i = 0; i < n - 1; i++){
            scanf("%d %d %d", &u, &v, &w);
            u--; v--;
            Edge[u].push_back(make_pair(v, Hash(w)));
            Edge[v].push_back(make_pair(u, Hash(w)));
        }
        ULL ans = (1ULL * n * (n - 1)) / 2;
        dfs(0, -1, 0);
        for(map<ULL, int>::iterator it = mp.begin(); it != mp.end(); it++) {
            ans -= (it->second * (it->second - 1)) / 2;
        }
        cout << ans << endl;
    }
    return 0;
}