/* -*- coding: utf-8 -*- * * 468.cc: No.468 役に立つ競技プログラミング実践編 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 100000; const int INF = 1 << 30; /* typedef */ typedef queue qi; typedef pair pii; typedef vector vpii; /* global variables */ vpii nbrs[MAX_N], prvs[MAX_N]; int dists0[MAX_N], dists1[MAX_N], pns[MAX_N]; /* subroutines */ /* main */ int main() { int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int ai, bi, ci; cin >> ai >> bi >> ci; nbrs[ai].push_back(pii(bi, ci)); prvs[bi].push_back(pii(ai, ci)); } qi q; q.push(0); while (! q.empty()) { int u = q.front(); q.pop(); int &ud = dists0[u]; vpii &nbru = nbrs[u]; for (vpii::iterator vit = nbru.begin(); vit != nbru.end(); vit++) { int &v = vit->first, vd = ud + vit->second; if (dists0[v] < vd) dists0[v] = vd; if (++pns[v] >= prvs[v].size()) q.push(v); } } for (int i = 0; i < n; i++) dists1[i] = INF, pns[i] = 0; dists1[n - 1] = dists0[n - 1]; q.push(n - 1); while (! q.empty()) { int u = q.front(); q.pop(); int &ud = dists1[u]; vpii &prvu = prvs[u]; for (vpii::iterator vit = prvu.begin(); vit != prvu.end(); vit++) { int &v = vit->first, vd = ud - vit->second; if (dists1[v] > vd) dists1[v] = vd; if (++pns[v] >= nbrs[v].size()) q.push(v); } } int cnt = 0; for (int i = 0; i < n; i++) if (dists0[i] != dists1[i]) cnt++; printf("%d %d/%d\n", dists0[n - 1], cnt, n); return 0; }