# Problem I

Single source shortest path, negative weights

## Input

The input consists of several test cases. Each test case starts with a line with four non-negative integers, $1 \le n \le 1000$, $0 \le m \le 5000$, $1 \le q \le 100$ and $0 \le s < n$, separated by single spaces, where $n$ is the numbers of nodes in the graph, $m$ the number of edges, $q$ the number of queries and $s$ the index of the starting node. Nodes are numbered from 0 to $n-1$. Then follow $m$ lines, each line consisting of three (space-separated) integers $u$, $v$ and $w$ indicating that there is an edge from $u$ to $v$ in the graph with weight $-2000 \le w \le 2000$. Then follow $q$ lines of queries, each consisting of a single non-negative integer, asking for the minimum distance from node $s$ to the node number given on the query line.

Input will be terminated by a line containing four zeros,
this line should *not* be processed.

## Output

For each query, output a single line containing the minimum
distance from node $s$ to
the node specified in the query, the word “`Impossible`” if there is no path from
$s$ to that node, or
“`-Infinity`” if there are arbitrarily
short paths from $s$ to
that node. For clarity, the sample output has a blank line
between the output for different cases.

Sample Input 1 | Sample Output 1 |
---|---|

5 4 3 0 0 1 999 1 2 -2 2 1 1 0 3 2 1 3 4 2 1 1 0 0 1 -100 1 0 0 0 0 |
-Infinity 2 Impossible -100 |