You are given n closed, integer intervals [ai, bi] and n integers .
Write a program that:
reads the number of intervals, their end points and integers .  from the standard input,
computes the minimal size of a set Z of integers which has at least ci common elements with interval [ai, bi], for each ,
writes the answer to the standard output.

输入描述:

The first line of the input contains an integer  -- the number of intervals. The following n lines describe the intervals. The (i+1)-th line of the input contains three integers ai,  and  separated by single spaces and such that  and .

输出描述:

The output contains exactly one integer equal to the minimal size of set Z sharing at least ci elements with interval [ai, bi], for each i=1,2,...,n.

5
3 7 3
8 10 3
6 8 1
1 3 1
10 11 1

6