MEX Queries
Description
You are given a set of integer numbers, initially it is empty. You should perform n queries.
There are three different types of queries:
- 1 l r — Add all missing numbers from the interval [l, r]
- 2 l r — Remove all present numbers from the interval [l, r]
- 3 l r — Invert the interval [l, r] — add all missing and remove all present numbers from the interval [l, r]
After each query you should output MEX of the set — the smallest positive (MEX ≥ 1) integer number which is not presented in the set.
The first line contains one integer number n (1 ≤ n ≤ 105).
Next n lines contain three integer numbers t, l, r (1 ≤ t ≤ 3, 1 ≤ l ≤ r ≤ 1018) — type of the query, left and right bounds.
Print MEX of the set after each query.
Input
The first line contains one integer number n (1 ≤ n ≤ 105).
Next n lines contain three integer numbers t, l, r (1 ≤ t ≤ 3, 1 ≤ l ≤ r ≤ 1018) — type of the query, left and right bounds.
Output
Print MEX of the set after each query.
Samples
3
1 3 4
3 1 6
2 1 3
1
3
1
4
1 1 3
3 5 6
2 4 4
3 1 6
4
4
4
1
Note
Here are contents of the set after each query in the first example:
- {3, 4} — the interval [3, 4] is added
- {1, 2, 5, 6} — numbers {3, 4} from the interval [1, 6] got deleted and all the others are added
- {5, 6} — numbers {1, 2} got deleted