#DRWLNS. Drawing Lines
Drawing Lines
John is a bit upset now. Today was his chemistry central viva and it did not go very well. So to cheer up he bought a notebook, a pencil and an eraser.
In the note book there are N points drawn in a row. The points are numbered from 1 to N serially.
Now, John decided to do a strange thing with those points.
At each moment, John puts his pencil or eraser at a point A and drags it to point B. As a result, some line segments may be created.
And then, Sometimes he stops and thinks of a point C and tries to find out if point C is on a line segment or not.
You have to solve a similar problem.
INPUT:
First line of the input will contain two integers N (1<=n<=109) and M (1<=M<=105) where N denotes number of points and M denotes number of queries.
Then M line follows. Each line contains a query.
Each query will be one of the following forms:
0 A B: which means an eraser has been dragged from point A to point B.
1 A B: which means a pencil has been dragged from point A to point B.
2 C: which means you are asked to answer the state of point C. There will be at least one query of this type.
(It is guaranteed that A<=B and 1<=A, B, C<=N)
OUTPUT:
For each query of the form “2 C”, print a single line.If point C is NOT on any line segment then print -1.
Otherwise, print the start and end point of the segment.
See sample input/ sample output and explanation for details.
Sample Input
Sample Output
25 14
2 10
1 20 25
1 9 13
2 12
2 7
1 11 21
2 15
0 17 20
0 22 25
2 21
2 5
1 1 8
2 12
2 4
-1
9 13
-1
9 25
21 21
-1
9 16
1 8
Explanation:
In the 1st query, there are no line segments. So point 10 is not on any segment.
After 2nd query, there is 1 line segment: [20, 25].
After 3rd query, there are 2 line segments: [9, 13], [20, 25].
In the 4th query, point 12 is on [9, 13] segment.
In the 5th query, point 7 is not on any segment.
After 6th query, there is 1 line segment [9, 25]. ([9, 13], [11, 21] and [20, 25] segments will merge into only 1 segment).
In the 7th query, point 15 is on [9, 25] segment.
After 9th query there are 2 segments: [9, 16] and [21, 21].
In the 10th query, point 21 is on [21, 21] segment.
In the 11th query, point 5 is not on any segment.
After 12th query there are 3 segments: [1,8],[9, 16] and [21, 21].
In the 13th query, point 13 is on [9, 16] segment.
In the 14th query, point 4 is on [1, 8] segment.