/* -*- coding: utf-8 -*- * * 1449.cc: No.1449 新プロランド - 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 = 100; const int MAX_C = 1000; const int INF = 1 << 30; /* typedef */ typedef pair pii; typedef vector vpii; struct Stat { int d, i, j; Stat() {} Stat(int _d, int _i, int _j): d(_d), i(_i), j(_j) {} bool operator<(const Stat &s) const { return d > s.d; } void print() { printf("Stat(%d,%d,%d)\n", d, i, j); } }; /* global variables */ vpii nbrs[MAX_N]; int ts[MAX_N], ds[MAX_N][MAX_C + 2]; /* subroutines */ /* main */ int main() { int n, m; scanf("%d%d", &n, &m); int maxc = 0; for (int i = 0; i < m; i++) { int a, b, c; scanf("%d%d%d", &a, &b, &c); a--, b--; nbrs[a].push_back(pii(b, c)); nbrs[b].push_back(pii(a, c)); maxc = max(maxc, c); } int maxj = maxc + 2; for (int i = 0; i < n; i++) scanf("%d", ts + i); for (int i = 0; i < n; i++) fill(ds[i], ds[i] + maxj, INF); ds[0][0] = 0; priority_queue q; q.push(Stat(0, 0, 0)); int mind = INF; while (! q.empty()) { Stat u = q.top(); q.pop(); //u.print(); if (ds[u.i][u.j] != u.d) continue; if (u.i == n - 1) { mind = u.d; break; } int ud = u.d + ts[u.i], vj = min(maxj - 1, u.j + ts[u.i]); vpii &nbru = nbrs[u.i]; for (vpii::iterator vit = nbru.begin(); vit != nbru.end(); vit++) { int vi = vit->first, vd = ud + (vit->second / vj); if (ds[vi][vj] > vd) { ds[vi][vj] = vd; q.push(Stat(vd, vi, vj)); } } } printf("%d\n", mind); return 0; }