Problem AAlmost Union-Find
I hope you know the beautiful Union-Find structure. In this problem, you’re to implement something similar, but not identical.
The data structure you need to write is also a collection of disjoint sets, supporting 3 operations:
1 p q
Union the sets containing p and q. If p and q are already in the same set, ignore this command.
2 p q
Move p to the set containing q. If p and q are already in the same set, ignore this command
3 p
Return the number of elements and the sum of elements in the set containing p.
Initially, the collection contains n sets: {1}, {2}, {3}, …, {n}.
Input
There are several test cases. Each test case begins with a line containing two integers n and m (1<=n,m<=100,000), the number of integers, and the number of commands. Each of the next m lines contains a command. For every operation, 1<=p,q<=n. The input is terminated by end-of-file (EOF). The size of input file does not exceed 5MB.
Output
For each type-3 command, output 2 integers: the number of elements and the sum of elements.
Sample Input5 71 1 22 3 41 3 53 42 4 13 43 3Output for the Sample Input3 123 72 8Explanation
Initially: {1}, {2}, {3}, {4}, {5}
Collection after operation 1 1 2: {1,2}, {3}, {4}, {5}
Collection after operation 2 3 4: {1,2}, {3,4}, {5} (we omit the empty set that is produced when taking out 3 from {3})
Collection after operation 1 3 5: {1,2}, {3,4,5}
Collection after operation 2 4 1: {1,2,4}, {3,5}
Rujia Liu’s Present 3: A Data Structure Contest Celebrating the 100th Anniversary of Tsinghua UniversitySpecial Thanks: Yiming LiNote: Please make sure to test your program with the gift I/O files before submitting!
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