Description

There is a graph with N nodes. Given the length of each edge between the nodes. Find the shortest path from S to E.

Input Format

First line: three positive integer number N (N <= 100), S (S <= N), E(E <= N).
Next N lines: the i-th line contains N non-negative integers (<= 100), indicating the length of edge from the i-th node to any nodes.

Output Format

One line contains several integers, indicating the indexes of node in the shortest path from S to E.

4 1 4
0 3 6 8
3 0 2 9
6 2 0 2
8 9 2 0

1 2 3 4