Just Dijkstra P30288

Write a program to compute the minimum cost to go from one vertex to each of the vertices of a given directed graph with positive costs at the arcs.

Input

Input consists of several cases. Every case begins with the number of vertices $n$ and the number of arcs $m$, followed by $m$ triples $x$ $y$ $c$, to indicate an arc from $x$ to $y$ with cost $c$. Assume $2 \le n \le 10^4$, $0 \le m \le 5n$, that vertices are numbered from 0 to $n - 1$, $x \ne y$, that for every pair $x$ $y$ there is at most one arc in each direction, and that all costs $c$ are natural numbers between 1 and $10^4$.

Output

For every case, print the minimum cost to go from vertex 0 to the rest of vertices, in order from 1 to $n - 1$. If there is no path to some vertex, print “no”. Print a line with 10 dashes at the end of every case.