Problem:
Score : 400 points

Problem Statement

On a two-dimensional plane, there are N red points and N blue points.
The coordinates of the i-th red point are (a_i, b_i), and the coordinates of the i-th blue point are (c_i, d_i).

A red point and a blue point can form a friendly pair when, the x-coordinate of the red point is smaller than that of the blue point, and the y-coordinate of the red point is also smaller than that of the blue point.

At most how many friendly pairs can you form? Note that a point cannot belong to multiple pairs.

Constraints

All input values are integers.

1 \leq N \leq 100

0 \leq a_i, b_i, c_i, d_i < 2N

a_1, a_2, ..., a_N, c_1, c_2, ..., c_N are all different.

b_1, b_2, ..., b_N, d_1, d_2, ..., d_N are all different.

Input

Input is given from Standard Input in the following format:

N
a_1 b_1
a_2 b_2
:
a_N b_N
c_1 d_1
c_2 d_2
:
c_N d_N

Output

Print the maximum number of friendly pairs.

Sample Input 1

3
2 0
3 1
1 3
4 2
0 4
5 5

Sample Output 1

2

For example, you can pair (2, 0) and (4, 2), then (3, 1) and (5, 5).

Sample Input 2

3
0 0
1 1
5 2
2 3
3 4
4 5

Sample Output 2

2

For example, you can pair (0, 0) and (2, 3), then (1, 1) and (3, 4).

Sample Input 3

2
2 2
3 3
0 0
1 1

Sample Output 3

0

It is possible that no pair can be formed.

Sample Input 4

5
0 0
7 3
2 2
4 8
1 6
8 5
6 9
5 4
9 1
3 7

Sample Output 4

5

Sample Input 5

5
0 0
1 1
5 5
6 6
7 7
2 2
3 3
4 4
8 8
9 9

Sample Output 5

4

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

casen=0
if casen==0:
    a=[]
    c=[]
    n=int(input())
    for i in range(n):
        ai,bi=map(int,input().split())
        a.append([ai,bi])
    for i in range(n):
        ci,di=map(int,input().split())
        c.append([ci,di])
elif casen==1:
    n=3
    a=[[2,0],[3,1],[1,3]]
    c=[[4,2],[0,4],[5,5]]
elif casen==2:
    n=3
    a=[[0,0],[1,1],[5,2]]
    c=[[2,3],[3,4],[4,5]]
elif casen==3:
    n=2
    a=[[2,2],[3,3]]
    c=[[0,0],[1,1]]
elif casen==4:
    n=5
    a=[[0,0],[7,3],[2,2],[4,8],[1,6]]
    c=[[8,5],[6,9],[5,4],[9,1],[3,7]]
elif casen==5:
    n=5
    a=[[0,0],[1,1],[5,5],[6,6],[7,7]]
    c=[[2,2],[3,3],[4,4],[8,8],[9,9]]

a.sort()
c.sort(key=lambda x:x[1])

icnt=0
ic2=0
for ia in range(len(a)):
    for ic in range(len(c)):
        if a[ia][0]<c[ic][0] and a[ia][1]<c[ic][1]:
            icnt=icnt+1
            del c[ic]
            break
        else:
            continue
        break

print(icnt)