Marisa has recently found a treasure map that leads her to an underground cave system consisting of n rooms and m one-way tunnels.
The cave is so dark that Marisa needs to use her power to light it up. If she lights up a room i, room j can receive the light if j can be reached from i and i can also be reached in j.
The cost of lighting up room i is Ai power. What is the minimum amount of power needed to completely eliminate the darkness in the cave?
### Input
- The first line contains 2 integers n,m.
- The second line contains n integers Ai.
- The next m lines, each line contains two integers u,v, there is a tunnel between u and v.
### Output
- Print the minimum amount of power.
### Constraints
- 1≤n,m≤105.
- 1≤Ai≤109.
- 1≤u,v≤n.
### Example
Input:
33123122331
Output:
1