#include #include #include #include #include using namespace atcoder; using namespace std; using ll = long long; using ull = unsigned long long; const ull MOD = 1000000007; using mll = static_modint<1000000007>; #define rep(i,n) for(int i=0; i<(n); i++) struct DSU{ vector V; DSU(int n){ V.resize(n); rep(i,n) V[i] = i; } int leader(int a){ if(V[a] == a) return a; return V[a] = leader(V[a]); } void merge(int r,int c){ V[leader(c)] = leader(r); } }; struct HLD{ int N; vector P; vector PP; vector PD; vector D; vector> lcaP; vector rangeL; vector rangeR; HLD(const vector>& E = {{}}){ N = E.size(); P.assign(N, -1); vector I = {0}; rep(i,I.size()){ int p = I[i]; for(int e : E[p]) if(P[p] != e){ I.push_back(e); P[e] = p; } } vector Z(N, 1); for(int i=N-1; i>=1; i--) Z[P[I[i]]] += Z[I[i]]; PP.resize(N); for(int i=0; i nx(N, -1); for(int p : I) if(p != 0){ if(nx[P[p]] == -1) nx[P[p]] = p; if(Z[nx[P[p]]] < Z[p]) nx[P[p]] = p; } rep(i,N) if(nx[i] != -1) PP[nx[i]] = i; for(int p : I) if(p != 0) PP[p] = PP[PP[p]]; PD.assign(N,N); PD[0] = 0; for(int p : I) if(p != 0) PD[p] = min(PD[PP[p]], PD[P[p]]+1); D.assign(N,0); for(int p : I) D[p] = (p == 0) ? 0 : (D[P[p]]+1); lcaP.assign(5,vector(N,0)); rep(i,N) if(PP[i] != 0) lcaP[0][i] = P[PP[i]]; rep(d,4) rep(i,N) lcaP[d+1][i] = lcaP[d][lcaP[d][i]]; } int lca(int u, int v){ if(PD[u] < PD[v]) swap(u, v); for(int d=4; d>=0; d--) if(PD[u]-PD[v] >= (1<=0; d--) if(lcaP[d][u] != lcaP[d][v]){ u = lcaP[d][u]; v = lcaP[d][v]; } if(PP[u] != PP[v]){ u = lcaP[0][u]; v = lcaP[0][v]; } return (D[u] > D[v]) ? v : u; } int dist(int u, int v){ return D[u] + D[v] - 2 * D[lca(u,v)]; } }; struct Edge{ int u,v,i; }; int N, M; vector J; vector> E; vector flows; vector cost; vector P; HLD hld; vector Eidx; vector dep; vector iEidx; vector flowIdx; void read_graph(){ cin >> N >> M; vector> E2(N); E.resize(N); cost.resize(M); cost[0] = 2; for(int i=1; i> u >> v; u--; v--; J.push_back({u,v,i}); if(G1.leader(u) == G1.leader(v)){ flows.push_back({u,v,i}); } else{ G1.merge(u,v); E[u].push_back({u,v,i}); E[v].push_back({v,u,i}); E2[u].push_back(v); E2[v].push_back(u); } } hld = HLD(E2); } void initLCA(){ vector I; P.assign(N,-1); I.push_back(0); dep.assign(N,0); Eidx.assign(N,-1); rep(i,I.size()){ int p = I[i]; for(Edge e : E[p]) if(P[p] != e.v){ P[e.v] = p; dep[e.v] = dep[p] + cost[e.i]; Eidx[e.v] = e.i; I.push_back(e.v); } } } mll dist1(int u,int v){ int g = hld.lca(u,v); return dep[u] + dep[v] - dep[g] * 2; } void build_flows(){ iEidx.assign(M,-1); rep(i,N) if(Eidx[i] != -1) iEidx[Eidx[i]] = i; flowIdx.assign(N,-1); DSU G2(N); for(Edge e : flows){ int g = G2.leader(hld.lca(e.u,e.v)); for(int s : {e.u,e.v}){ int p = G2.leader(s); while(p != g){ flowIdx[p] = e.i; G2.merge(P[p],p); p = G2.leader(p); } } } } int path_includes(int u,int v,int z){ if(iEidx[z] == -1) return -1; if(hld.dist(u,J[z].u) + hld.dist(v,J[z].v) == hld.dist(v,J[z].u) + hld.dist(u,J[z].v)) return -1; int res = flowIdx[iEidx[z]]; if(res == -1) return -2; return res; } mll shortest_using(int u,int v,int z){ mll ans = cost[z]; if(hld.dist(u,J[z].u) + hld.dist(v,J[z].v) < hld.dist(u,J[z].v) + hld.dist(v,J[z].u)) ans += dist1(u,J[z].u) + dist1(v,J[z].v); else ans += dist1(u,J[z].v) + dist1(v,J[z].u); return ans; } int main(){ read_graph(); initLCA(); build_flows(); int Q; cin >> Q; rep(q,Q){ int u,v,z; cin >> u >> v >> z; u--; v--; z--; int inc = path_includes(u,v,z); if(inc == -2){ cout << "-1\n"; continue; } if(inc == -1){ cout << dist1(u,v).val() << "\n"; continue; } auto e = J[inc]; mll ans = shortest_using(u,v,e.i); cout << ans.val() << "\n"; } return 0; } struct ios_do_not_sync{ ios_do_not_sync(){ ios::sync_with_stdio(false); cin.tie(nullptr); } } ios_do_not_sync_inst;