7595: [CSES Problem Set] Download Speed
[Creator : ]
Description
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?
Kotivalo wants to download some data from a server. What is the maximum speed he can do this, using the connections in the network?
Input
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 mm lines describing the connections. Each line has three integers $a, b, c$: computer $a$ can send data to computer $b$ at speed $c$.
After this, there are mm lines describing the connections. Each line has three integers $a, b, c$: computer $a$ can send data to computer $b$ at speed $c$.
Output
Print one integer: the maximum speed Kotivalo can download data.
Constraints
$1≤n≤500$
$1 \le m \le 1000$
$1 \le a,b \le n$
$1 \le c \le 10^9$
$1 \le m \le 1000$
$1 \le a,b \le n$
$1 \le c \le 10^9$
Sample 1 Input
4 5
1 2 3
2 4 2
1 3 4
3 4 5
4 1 3
Sample 1 Output
6