Consider a network consisting of $n$ computers and $m$ connections. Each connection specifies how fast a computer can send data to another computer.
Kotivalo wants to download some data from a server. What is the maximum speed he can do this, using the connections in the network?
The first input line has two integers $n$ and $m$ : the number of computers and connections. The computers are numbered $1,2,\dots,n$ . Computer $1$ is the server and computer $n$ is Kotivalo's computer.
After this, there are $m$ lines describing the connections. Each line has three integers $a$ , $b$ and $c$ : computer $a$ can send data to computer $b$ at speed $c$ .
Print one integer: the maximum speed Kotivalo can download data.
4 5 1 2 3 2 4 2 1 3 4 3 4 5 4 1 3· \n · · \n · · \n · · \n · · \n · · \n
6\n