COCI '08 Regional #6 Cvjetici

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Points: 12
Time limit: 0.2s
Memory limit: 32M

Problem type

On a faraway planet, strange plants with two stems can be found. Every plant on the planet can be described by three numbers: the x-coordinates of the stems L and R, and the height H at which the stems are connected. The image depicts a plant with L=2, R=5 and H=4.

Every day a new plant grows on the planet. The plant that grows on day 1 is of height 1, and every subsequent plant is one higher than the previous one.

When a stem of a new plant intersects the horizontal segment of another plant, a small flower grows (if one wasn't there already). If segments merely touch in a point, a flower will not grow there. The following images are a visualization of the first example on the next page.

Write a program that, given the coordinates of all plants, calculates the number of new flowers every day.

Input Specification

The first line contains an integer N (1 \le N \le 100\,000), the number of days. Each of the following N lines contains two integers L and R (1 \le L < R \le 100\,000), the coordinates of the stems of a plant.

Output Specification

Output N lines, the number of new flowers after each plant grows.

Sample Input 1

1 4
3 7
1 6
2 6

Sample Output 1


Sample Input 2

1 3
3 5
3 9
2 4
3 8

Sample Output 2



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