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F. MEX Queries

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou 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* ≤ 10^{5}).

Next *n* lines contain three integer numbers *t*, *l*, *r* (1 ≤ *t* ≤ 3, 1 ≤ *l* ≤ *r* ≤ 10^{18}) — 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:

- {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

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