#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define all(x) (x).begin(),(x).end() #define inf 1e18 #define mod 1000000007 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; struct SCC{ int n; vector > G, revG, compG; vector used, scc, topo; int sccid, sccnum; void tpdfs(int v) { used[v] = 1; for(int i = 0; i < G[v].size(); i++){ if(!used[G[v][i]]) tpdfs(G[v][i]); } topo.push_back(v); } void sccdfs(int v, int id) { used[v] = 1; scc[v] = id; for(int i = 0; i < revG[v].size(); i++){ if(!used[revG[v][i]]) sccdfs(revG[v][i], id); } } SCC(){} SCC(int n){ //V(G) = {1, 2, ..., n}, nを制約より大きくするときは注意 this->n = n; G.resize(n+1); revG.resize(n+1); used.resize(n+1); } void init(){ for(int i = 1; i <= n; i++){ G[i].clear(), revG[i].clear(); used[i] = 0; } topo.clear(); } void add_edge(int u, int v) { G[u].push_back(v); } void tpsort() { topo.clear(); for(int i = 1; i <= n; i++) used[i] = 0; for(int i = 1; i <= n; i++) if(!used[i]) tpdfs(i); reverse(topo.begin(), topo.end()); } bool checkDAG(){ //先にtpsort()を呼ぶべし。DAGならtrueを返す for(int i = 1; i <= n; i++) used[i] = 0; for(int i = 0; i < topo.size(); i++){ int v = topo[i]; used[v] = 1; for(int j = 0; j < G[v].size(); j++){ if(used[G[v][j]]) return false; } } return true; } int calcSCC(){ //先にtpsort()を呼ぶべし。戻り値はSCCの個数。SCC-IDは1-indexed scc.resize(n+1); for(int i = 1; i <= n; i++) revG[i].clear(); for(int i = 1; i <= n; i++){ for(int j = 0; j < G[i].size(); j++){ revG[G[i][j]].push_back(i); } } sccid = 1; for(int i = 1; i <= n; i++) used[i] = 0; for(int i = 0; i < topo.size(); i++) if(!used[topo[i]]) sccdfs(topo[i], sccid++); return sccnum = sccid-1; } void compressSCC(bool simple = false){ //先にcalcSCC()を呼ぶべし。圧縮後のグラフはscc::compG compG.resize(sccnum+1); for(int i = 1; i <= n; i++){ for(int j = 0; j < G[i].size(); j++){ int u = G[i][j]; if(scc[i] != scc[u]) compG[scc[i]].push_back(scc[u]); } } if(simple){ for(int i = 1; i <= sccnum; i++){ sort(compG[i].begin(), compG[i].end()); compG[i].erase(unique(compG[i].begin(), compG[i].end()), compG[i].end()); } } } }; struct edge{ ll to, cost, num; edge(){} edge(ll a, ll b, ll c){ to = a, cost = b, num = c; } }; ll n, m; vector G[200005], revG[200005]; bool reachS[200005], reachT[200005], used[200005]; ll dpnum[200005], dpsum[200005]; void dfs(vector G[], ll v, bool reach[]) { reach[v] = true; for(auto e : G[v]){ if(reach[e.to]) continue; dfs(G, e.to, reach); } } int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m; ll S = n+1, T = n; n++; ll u, v, l, a; rep(i, 1, m){ cin >> u >> v >> l >> a; if(u == 0) u = S; if(v == 0) v = S; G[u].push_back(edge(v, l, a)); revG[v].push_back(edge(u, l, a)); } dfs(G, S, reachS); dfs(revG, T, reachT); rep(i, 1, n) used[i] = !reachS[i] || !reachT[i]; SCC scc(n); rep(i, 1, n){ if(used[i]) continue; for(auto e : G[i]){ if(used[e.to]) continue; scc.add_edge(i, e.to); } } scc.tpsort(); if(!scc.checkDAG()){ cout << "INF" << endl; return 0; } dpnum[S] = 1, dpsum[S] = 0; for(auto v : scc.topo){ if(used[v]) continue; for(auto e : G[v]){ ll u = e.to, l = e.cost, a = e.num; (dpnum[u] += dpnum[v] * a % mod) %= mod; (dpsum[u] += (dpsum[v]+dpnum[v]*l%mod)%mod * a % mod) %= mod; } } cout << dpsum[T] << endl; return 0; }