Nikifor told us that once he solved problem at mathematical tournament of S.Petersburg's secondary school N239 in 1994. Nikifor said that he solved a problem from the moment T_{0} to the moment T_{1}. He remembers that N observers appeared in the room. The ith observer entered the room at the moment t_{0, i}
and went out at the moment t_{1, i}. At every moment there was at least one observer in the room.
When the tournament was finished, Nikifor claimed that it is possible to color some observers, and the summary time when there was only one colored observer in the room is not less than 2/3 of the time when Nikifor solved problem.
You are to answer whether Nikifor right or not.
Input
The first line of input contains real numbers T_{0} and T_{1} (T_{0} < T_{1}). The second
line contains number N — number of observers (N < 10000). Next N lines
contain real numbers t_{0, i} and t_{1, i} (T_{0} ≤ t_{0, i} < t_{1, i} ≤ T_{1}).
Output
If Nikifor is not right output should contain the only number 0. If Nikifor is right you should write to the first line the quantity of colored observers, and next lines should contain their numbers. Do not write more than one number in a line. You may write these numbers in any order. If there are more than one solution exist you may find any of them.
Sample
input  output 

0.0 20.0
7
1.0 1.5
0.0 10.0
9.0 10.0
18.0 20.0
9.0 18.0
2.72 3.14
19.0 20.0
 3
2
5
7

Problem Author: Dmitry Filimonenkov feat Igor Goldberg
Problem Source: Tetrahedron Team Contest May 2001