**Time limit:**1.00 s**Memory limit:**512 MB

There are n cities and m routes through which parcels can be carried from one city to another city. For each route, you know the maximum number of parcels and the cost of a single parcel.

You want to send k parcels from Syrjälä to Lehmälä. What is the cheapest way to do that?

# Input

The first input line has three integers n, m and k: the number of cities, routes and parcels. The cities are numbered 1,2,\dots,n. City 1 is Syrjälä and city n is Lehmälä.

After this, there are m lines that describe the routes. Each line has four integers a, b, r and c: there is a route from city a to city b, at most r parcels can be carried through the route, and the cost of each parcel is c.

# Output

Print one integer: the minimum total cost or -1 if there are no solutions.

# Constraints

- 2 \le n \le 500
- 1 \le m \le 1000
- 1 \le k \le 100
- 1 \le a,b \le n
- 1 \le r,c \le 1000

# Example

Input:

4 5 3 1 2 5 100 1 3 10 50 1 4 7 500 2 4 8 350 3 4 2 100

Output:

750

Explanation: One parcel is delivered through route 1 \rightarrow 2 \rightarrow 4 (cost 1 \cdot 450=450) and two parcels are delivered through route 1 \rightarrow 3 \rightarrow 4 (cost 2 \cdot 150=300).