CSES - High Score
• Time limit: 1.00 s
• Memory limit: 512 MB

You play a game consisting of n rooms and m tunnels. Your initial score is 0, and each tunnel increases your score by x where x may be both positive or negative. You may go through a tunnel several times.

Your task is to walk from room 1 to room n. What is the maximum score you can get?

# Input

The first input line has two integers n and m: the number of rooms and tunnels. The rooms are numbered 1,2,\dots,n.

Then, there are m lines describing the tunnels. Each line has three integers a, b and x: the tunnel starts at room a, ends at room b, and it increases your score by x. All tunnels are one-way tunnels.

You can assume that it is possible to get from room 1 to room n.

# Output

Print one integer: the maximum score you can get. However, if you can get an arbitrarily large score, print -1.

# Constraints

• 1 \le n \le 2500
• 1 \le m \le 5000
• 1 \le a,b \le n
• -10^9 \le x \le 10^9

# Example

Input:

4 5
1 2 3
2 4 -1
1 3 -2
3 4 7
1 4 4


Output:

5