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D. Event Dates

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputOn a history lesson the teacher asked Vasya to name the dates when *n* famous events took place. He doesn't remembers the exact dates but he remembers a segment of days [*l*_{i}, *r*_{i}] (inclusive) on which the event could have taken place. However Vasya also remembers that there was at most one event in one day. Help him choose such *n* dates of famous events that will fulfill both conditions. It is guaranteed that it is possible.

Input

The first line contains one integer *n* (1 ≤ *n* ≤ 100) — the number of known events. Then follow *n* lines containing two integers *l*_{i} and *r*_{i} each (1 ≤ *l*_{i} ≤ *r*_{i} ≤ 10^{7}) — the earliest acceptable date and the latest acceptable date of the *i*-th event.

Output

Print *n* numbers — the dates on which the events took place. If there are several solutions, print any of them. It is guaranteed that a solution exists.

Examples

Input

3

1 2

2 3

3 4

Output

1 2 3

Input

2

1 3

1 3

Output

1 2

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