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Problems

Ford-Bellman

Ford-Bellman

Given a directed graph, that can contain multiple edges and loops. Each edge has a weight that is expressed by a number (possibly negative). It is guaranteed that there are no cycles of negative weight.

Calculate the length of the shortest paths from the vertex number 1 to all other vertices.

Input

First the number of vertices n (1n100) is given. It is followed by the number of edges m (0m10000). Next m triples describe the edges: beginning of the edge, the end of the edge and its weight (an integer from -100 to 100).

Output

Print n numbers - the distance from the vertex number 1 to all other vertices of the graph. If the path to the corresponding vertex does not exist, instead of the path length print the number 30000.

Time limit 1 seconds
Memory limit 64 MiB
Input example #1
4 5
1 2 10
2 3 10
1 3 100
3 1 -10
2 3 1
Output example #1
0 10 11 30000