You are given a forest with N vertices and M edges. The vertices are numbered 0 through N-1. The edges are given in the format (x_i,y_i), which means that Vertex x_i and y_i are connected by an edge.

Each vertex i has a value a_i. You want to add edges in the given forest so that the forest becomes connected. To add an edge, you choose two different vertices i and j, then span an edge between i and j. This operation costs a_i + a_j dollars, and afterward neither Vertex i nor j can be selected again.

Find the minimum total cost required to make the forest connected, or print `Impossible` if it is impossible.

Constraints

* 1 ≤ N ≤ 100,000
* 0 ≤ M ≤ N-1
* 1 ≤ a_i ≤ 10^9
* 0 ≤ x_i,y_i ≤ N-1
* The given graph is a forest.
* All input values are integers.

Input

Input is given from Standard Input in the following format:


N M
a_0 a_1 .. a_{N-1}
x_1 y_1
x_2 y_2
:
x_M y_M


Output

Print the minimum total cost required to make the forest connected, or print `Impossible` if it is impossible.

Examples

Input

7 5
1 2 3 4 5 6 7
3 0
4 0
1 2
1 3
5 6


Output

7


Input

5 0
3 1 4 1 5


Output

Impossible


Input

1 0
5


Output

0
N, M = map(int, input().split())
A = [int(x) for x in input().split()]
R = [i for i in range(N)]
def root(R, i):
  if R[i] == i:
    return i
  else:
    R[i] = root(R, R[i])
    return R[i]
def union(i, j):
  ri = root(R, i)
  rj = root(R, j)
  if ri <= rj:
    R[rj] = ri
  else:
    R[ri] = rj
for m in range(M):
  i, j = map(int, input().split())
  union(i, j)
for i in range(N):
  R[i] = root(R, i)
if N < 2 * (N - M - 1):
  print('Impossible')
elif M == N - 1:
  print(0)
else:
  cnt= 0
  E = N - M - 2
  C = [0] * N
  F = sorted([[a, R[i]] for i, a in enumerate(A)])
  for a, r in F:
    if C[r] == 0:
      C[r] = a
      cnt += a
    elif E > 0:
      cnt += a
      E -= 1
  print(cnt)