Swaps in Permutation

5000ms

262144K

Description:

You are given a permutation of the numbers 1, 2, ..., n and m pairs of positions (a_j, b_j).

At each step you can choose a pair from the given positions and swap the numbers in that positions. What is the lexicographically maximal permutation one can get?

Let p and q be two permutations of the numbers 1, 2, ..., n. p is lexicographically smaller than the q if a number 1 ≤ i ≤ n exists, so p_k = q_k for 1 ≤ k < i and p_i < q_i.

Input:

The first line contains two integers n and m (1 ≤ n, m ≤ 10⁶) — the length of the permutation p and the number of pairs of positions.

The second line contains n distinct integers p_i (1 ≤ p_i ≤ n) — the elements of the permutation p.

Each of the last m lines contains two integers (a_j, b_j) (1 ≤ a_j, b_j ≤ n) — the pairs of positions to swap. Note that you are given a positions, not the values to swap.

Output:

Print the only line with n distinct integers p'_i (1 ≤ p'_i ≤ n) — the lexicographically maximal permutation one can get.

Sample Input:

9 6
1 2 3 4 5 6 7 8 9
1 4
4 7
2 5
5 8
3 6
6 9

Sample Output:

7 8 9 4 5 6 1 2 3

Informação

Provedor Codeforces

Código CF691D