Given a graph having N vertices and M bidirectional edges, with each edge having some length and some destruction cost. You have to increase the length of the shortest path between vertex 1 and vertex N, for that you can destroy some edges. Find the minimum cost of doing it.

Input Format:
First line consists of two space separated integers denoting N and M.
Following M lines consists of four space separated integers \(X \; Y \; D \; C\) denoting that there is an edge between vertex X and Y having length D and destruction cost C.

Output Format:
Print the required answer.

Constraints:
\(2 \le N \le 1000\)
\(1 \le M \le 4 \times 10^5\)
\(1 \le X, Y \le N\)
\(1 \le D, C \le 1000000\)