#line 1 "d.cpp" #include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} namespace po167{ struct UF { using _F = int; int _n; std::vector<_F> wei; std::vector q; int component; UF(int n):_n(n), wei(n), component(n), par(n){ for (int i = 0; i < n; i++){ wei[i] =1, par[i] = i; } } void intialize(){ for (auto x : q){ wei[root(x)] = 1; par[x] = x; wei[x] = 1; } component = (int)par.size(); q = {}; } //根っこを返す int root(int a){ assert(0 <= a && a < _n); if (a == par[a]) return a; return par[a] = root(par[a]); } //trueなら1,falseなら0 int same(int a, int b){ assert(0 <= a && a < _n); assert(0 <= b && b < _n); if(root(a) == root(b)) return 1; else return 0; } _F size(int a){ return wei[root(a)]; } //a,bが違う根っこの元なら結合する,結合したらtrueを返す bool unite(int a,int b){ a = root(a), b = root(b); if (a == b) return false; if (wei[a] < wei[b]) std::swap(a, b); par[b] = a; q.push_back(b); wei[a] += wei[b]; component--; return true; } private: std::vector par; }; } using po167::UF; #include using mint = atcoder::modint1000000007; #line 4 "/Users/Shared/po167_library/ds/Sparse_table.hpp" namespace po167{ template struct Sparse_table{ int n; int depth; std::vector> val; void init(std::vector &v){ depth = 1; n = v.size(); while ((1 << depth) <= n) depth++; val.resize(depth); val[0] = v; for (int i = 1; i < depth; i++){ val[i].resize(n); for (int j = 0; j <= n - (1 << i); j++){ val[i][j] = op(val[i - 1][j], val[i - 1][j + (1 << (i - 1))]); } } } Sparse_table(std::vector v){ init(v); } Sparse_table(){} // 0 <= l < r <= n // if l == r : assert T prod(int l, int r){ assert(0 <= l && l < r && r <= n); int z=31-__builtin_clz(r-l); return op(val[z][l], val[z][r - (1 << z)]); } }; } #line 6 "/Users/Shared/po167_library/graph/tree/LCA.hpp" namespace po167{ int op(int a, int b){ return std::min(a, b); } struct LCA{ Sparse_table table; std::vector depth; std::vector E; std::vector order; int var_num; void init(std::vector> &g, int root = 0){ var_num = g.size(); assert(0 <= root && root < var_num); std::vector val; depth.assign(var_num, -1); depth[root] = 0; E.resize(var_num); std::vector tmp; order.clear(); tmp.reserve(var_num); order.reserve(var_num); int c = 0; auto dfs = [&](auto self, int var, int pare) -> void { E[var] = c++; if (var != root) tmp.push_back(E[pare]); order.push_back(var); for (auto x : g[var]) if (depth[x] == -1){ depth[x] = depth[var] + 1; self(self, x, var); } }; dfs(dfs, root, -1); assert(c == var_num); table.init(tmp); } void init(std::vector &pare){ int root = -1; int n = pare.size(); std::vector> g(n); for (int i = 0; i < n; i++){ if (pare[i] < 0){ assert(root == -1); root = i; } else{ assert(0 <= pare[i] && pare[i] < n); g[pare[i]].push_back(i); } } assert(root != -1); init(g, root); } LCA (std::vector> g, int root = 0){ init(g, root); } LCA (std::vector pare){ init(pare); } LCA(){ } int lca(int a, int b){ assert(0 <= std::min(a, b) && std::max(a, b) < var_num); if (a == b) return a; if (E[a] > E[b]) std::swap(a, b); return order[table.prod(E[a], E[b])]; } int dist(int a, int b){ assert(0 <= std::min(a, b) && std::max(a, b) < var_num); return depth[a] + depth[b] - 2 * depth[lca(a, b)]; } int back(int var, int len){ assert(len <= depth[var]); if (len == 0) return var; int l = 0, r = E[var]; while (r - l > 1){ int m = (l + r) / 2; if (depth[var] - depth[order[table.prod(m, E[var])]] < len){ r = m; } else l = m; } return order[table.prod(l, E[var])]; } // a -> b int jump(int a, int b, int len){ int c = lca(a, b); if (len <= depth[a] - depth[c]) return back(a, len); len -= depth[a] - depth[c]; if (len <= depth[b] - depth[c]) return back(b, depth[b] - depth[c] - len); return -1; } }; } #line 83 "d.cpp" void solve(); // DEAR MYSTERIES / TOMOO int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ int N, M; cin >> N >> M; vector use(M, -1); UF T(N); vector p2(M, 1); rep(i, 1, M) p2[i] = p2[i - 1] * 2; struct edge{ int to; int ind; }; vector A(M), B(M); vector> G(N); vector> lcaG(N); vector pare(N); vector W(N); vector> rem(N); rep(i, 0, M){ cin >> A[i] >> B[i]; A[i]--, B[i]--; if (T.unite(A[i], B[i])){ G[A[i]].push_back({B[i], i}); G[B[i]].push_back({A[i], i}); lcaG[A[i]].push_back(B[i]); lcaG[B[i]].push_back(A[i]); } else{ rem[A[i]].insert(i); rem[B[i]].insert(i); } } po167::LCA l(lcaG); vector order; { auto dfs = [&](auto self, int var, int p) -> void { for (auto x : G[var]) if (x.to != p){ pare[x.to] = {var, x.ind}; W[x.to] = W[var] + p2[x.ind]; use[x.ind] = x.to; self(self, x.to, var); } order.push_back(var); }; dfs(dfs, 0, -1); } auto dist_W = [&](int a, int b) -> mint { int c = l.lca(a, b); return W[a] + W[b] - W[c] * 2; }; vector lig(M, -1); for (auto id : order) if (id){ if (!rem[id].empty()){ lig[pare[id].ind] = (*rem[id].begin()); } if (rem[pare[id].to].size() < rem[id].size()){ swap(rem[pare[id].to], rem[id]); } for (auto x : rem[id]){ if (rem[pare[id].to].insert(x).second){ rem[pare[id].to].erase(x); } } } int Q; cin >> Q; while (Q--){ int x, y, z; cin >> x >> y >> z; x--, y--, z--; mint ans = 0; if (use[z] == -1){ ans = dist_W(x, y); } else if (l.dist(x, y) * 2 != l.dist(x, A[z]) + l.dist(y, A[z]) + l.dist(x, B[z]) + l.dist(y, B[z])){ ans = dist_W(x, y); } else if (lig[z] == -1){ cout << "-1\n"; continue; } else{ int c = lig[z]; if (l.dist(x, A[z]) - l.dist(x, B[z]) != l.dist(A[c], A[z]) - l.dist(A[c], B[z])){ swap(x, y); } ans = dist_W(x, A[c]) + dist_W(y, B[c]) + p2[c]; } cout << (ans * 2).val() << "\n"; } }