COCI 2007/2008, Contest #4

Task POKLON

Mirko got a set of intervals for his birthday. There are many games he can play with them. In one of them, Mirko must find the longest sequence of distinct intervals such that each interval in the sequence is in the set and that each interval contains the one that follows in the sequence.

Write a program which finds one such longest sequence.

Input

The first line of input contains the integer N (1 ≤ N ≤ 100 000), the number of intervals in the set.

Each of the following N lines contains two integers A and B describing one interval (1 ≤ A < B ≤ 1 000 000).

Output

Output the length K of the longest sequence on the first line.

Each of the following K lines should contain one element of the sequence, an interval in the same format it was given in the input.

Examples

3
3 4
2 5
1 6

3
1 6
2 5
3 4

5
10 30
20 40
30 50
10 60
30 40

3
10 60
30 50
30 40

6
1 4
1 5
1 6
1 7
2 5
3 5

5
1 7
1 6
1 5
2 5
3 5

All Submissions
Best Solutions

Point Value: 15 (partial)
Time Limit: 1.00s
Memory Limit: 32M
Added: Aug 13, 2013

Languages Allowed:
C++03, PAS, C, HASK, ASM, RUBY, PYTH2, JAVA, PHP, SCM, CAML, PERL, C#, C++11, PYTH3

Comments (Search)