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Replace the Numbers

2000ms 262144K

Description:

You have an array of integers (initially empty).

You have to perform $$$q$$$ queries. Each query is of one of two types:

  • "$$$1$$$ $$$x$$$" — add the element $$$x$$$ to the end of the array;
  • "$$$2$$$ $$$x$$$ $$$y$$$" — replace all occurrences of $$$x$$$ in the array with $$$y$$$.

Find the resulting array after performing all the queries.

Input:

The first line contains a single integer $$$q$$$ ($$$1 \le q \le 5 \cdot 10^5$$$) — the number of queries.

Next $$$q$$$ lines contain queries (one per line). Each query is of one of two types:

  • "$$$1$$$ $$$x$$$" ($$$1 \le x \le 5 \cdot 10^5$$$);
  • "$$$2$$$ $$$x$$$ $$$y$$$" ($$$1 \le x, y \le 5 \cdot 10^5$$$).

It's guaranteed that there is at least one query of the first type.

Output:

In a single line, print $$$k$$$ integers — the resulting array after performing all the queries, where $$$k$$$ is the number of queries of the first type.

Sample Input:

7
1 3
1 1
2 1 2
1 2
1 1
1 2
2 1 3

Sample Output:

3 2 2 3 2 

Sample Input:

4
1 1
1 2
1 1
2 2 2

Sample Output:

1 2 1 

Sample Input:

8
2 1 4
1 1
1 4
1 2
2 2 4
2 4 3
1 2
2 2 7

Sample Output:

1 3 3 7 

Note:

In the first example, the array changes as follows:

$$$[]$$$ $$$\rightarrow$$$ $$$[3]$$$ $$$\rightarrow$$$ $$$[3, 1]$$$ $$$\rightarrow$$$ $$$[3, 2]$$$ $$$\rightarrow$$$ $$$[3, 2, 2]$$$ $$$\rightarrow$$$ $$$[3, 2, 2, 1]$$$ $$$\rightarrow$$$ $$$[3, 2, 2, 1, 2]$$$ $$$\rightarrow$$$ $$$[3, 2, 2, 3, 2]$$$.

In the second example, the array changes as follows:

$$$[]$$$ $$$\rightarrow$$$ $$$[1]$$$ $$$\rightarrow$$$ $$$[1, 2]$$$ $$$\rightarrow$$$ $$$[1, 2, 1]$$$ $$$\rightarrow$$$ $$$[1, 2, 1]$$$.

In the third example, the array changes as follows:

$$$[]$$$ $$$\rightarrow$$$ $$$[]$$$ $$$\rightarrow$$$ $$$[1]$$$ $$$\rightarrow$$$ $$$[1, 4]$$$ $$$\rightarrow$$$ $$$[1, 4, 2]$$$ $$$\rightarrow$$$ $$$[1, 4, 4]$$$ $$$\rightarrow$$$ $$$[1, 3, 3]$$$ $$$\rightarrow$$$ $$$[1, 3, 3, 2]$$$ $$$\rightarrow$$$ $$$[1, 3, 3, 7]$$$.

Informação

Codeforces

Provedor Codeforces

Código CF1620E

Tags

constructive algorithmsdata structuresdsuimplementation

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Datas 09/05/2023 10:20:52

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