Messager Problem

https://acs.jxnu.edu.cn/problem/NOIOPJENGLISH20

 1000ms  65536K

描述：

There are N nodes in the graph. Given the length of edges between the nodes, find the shortest path of size N and the nodes in the path are all different.

图上有n个节点，给出每个节点间的长度，找到最小为n的路径并且每个节点的路径都是不同的

输入：

First line: one positive integer N (N <= 15).
Next N lines: the i-th line contains N non-negative integers (<= 1000) indicating the length of edges between the i-th node and other nodes.

第一行：一个正整数表示n

接下来n行：第i行包含n个非负整数表示第i个节点到其他点的距离

输出：

One line contains N integers, indicating the indexes of nodes in the shortest path.

一行包括n个整数，表示在最短路径中节点的序号

样例输入：

4
0 2 8 4
2 0 5 7
8 5 0 1
4 7 1 0

样例输出：

3 4 1 2