程序填空题:Union--Find
Please fill the array with the results after the following union/find operations.
```
union( find(1), find(5) )
union( find(3), find(6) )
union( find(0), find(1) )
union( find(6), find(5) )
union( find(6), find(4) )
```
Note: Assume `union-by-size` (if two sets are equal-sized, the first root will be the root of the result) and `find-with-path-compression`. `S[i]` is initialized to be $$-1$$ for all $$0\le i\le 7$$.
| `i` | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|:--:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|
|`S[i]`|$$1$$|@@[-6](1)|$$-1$$|@@[1](1)|@@[1](1)|$$1$$|@@[1](1)| $$-1$$ |
答案:
第1空:-6
第2空:1
第3空:1
第4空:1
```
union( find(1), find(5) )
union( find(3), find(6) )
union( find(0), find(1) )
union( find(6), find(5) )
union( find(6), find(4) )
```
Note: Assume `union-by-size` (if two sets are equal-sized, the first root will be the root of the result) and `find-with-path-compression`. `S[i]` is initialized to be $$-1$$ for all $$0\le i\le 7$$.
| `i` | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|:--:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|:-:|
|`S[i]`|$$1$$|@@[-6](1)|$$-1$$|@@[1](1)|@@[1](1)|$$1$$|@@[1](1)| $$-1$$ |
答案:
第1空:-6
第2空:1
第3空:1
第4空:1