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F. MEX Queries
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

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.

Examples
Input
3
1 3 4
3 1 6
2 1 3
Output
1
3
1
Input
4
1 1 3
3 5 6
2 4 4
3 1 6
Output
4
4
4
1
Note

Here are contents of the set after each query in the first example:

  1. {3, 4} — the interval [3, 4] is added
  2. {1, 2, 5, 6} — numbers {3, 4} from the interval [1, 6] got deleted and all the others are added
  3. {5, 6} — numbers {1, 2} got deleted